Base , 2 Lots and Lots of Anomalous Cancellations in base, 2 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 2, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 2, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 2, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] ------------------------------------------------------------------------- This ends this book that took, 0.069, seconds to generate. ---------------------------------------------- Base , 3 Lots and Lots of Anomalous Cancellations in base, 3 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 3, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 3, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 3, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 3, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 3, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] ------------------------------------------------------------------------- This ends this book that took, 0.408, seconds to generate. ---------------------------------------------- Base , 4 Lots and Lots of Anomalous Cancellations in base, 4 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 4, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 4, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [3, 2] [1, 3] [1] ------ = --- [3, 2] [2] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 3, 2] [1, 1, 3] [1, 1] --------- = ------ [2, 3, 2] [2, 2] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [3, 3, 2] [3, 2] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 3, 0] [3, 2] [2] --------- = ------ [1, 3, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [3, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [3, 3, 2] [3, 2] [1, 1, 3, 1] [1, 1, 1] ------------ = --------- [3, 3, 2] [3, 2] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 2, 0] [1, 3] [1] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [3, 3, 2] [3, 2] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] [1, 3, 0] [1, 0] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 2, 2] [1, 3, 1] [1, 1] --------- = ------ [3, 2, 2] [2, 2] denominator=, [3, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [3, 3, 2] [3, 2] [1, 1, 3, 1] [1, 1, 1] ------------ = --------- [3, 3, 2] [3, 2] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 4, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] ------------------------------------------------------------------------- This ends this book that took, 1.570, seconds to generate. ---------------------------------------------- Base , 5 Lots and Lots of Anomalous Cancellations in base, 5 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 5, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [3, 4, 3] [3, 3] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [4, 2, 1] [4, 1] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 4, 1] [4, 3] [3] --------- = ------ [1, 4, 1] [1, 1] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [3, 4, 3] [3, 3] [1, 0, 4, 2] [1, 0, 2] ------------ = --------- [3, 4, 3] [3, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [3, 4, 3] [3, 3] denominator=, [4, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [4, 2, 1] [4, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [4, 2, 1] [4, 1] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 1] [4, 3, 0] [3, 0] --------- = ------ [1, 4, 1] [1, 1] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 4, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [3, 4, 3] [3, 3] [1, 0, 4, 2, 0] [1, 0, 2, 0] --------------- = ------------ [3, 4, 3] [3, 3] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [3, 4, 3] [3, 3] denominator=, [4, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [4, 2, 1] [4, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [4, 2, 1] [4, 1] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] [1, 4, 1] [1, 1] --------- = ------ [4, 3, 0] [3, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 5, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [3, 2, 2] [1, 3, 0, 3] [1, 0, 3] ------------ = --------- [3, 2, 2] [2, 2] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] ------------------------------------------------------------------------- This ends this book that took, 3.477, seconds to generate. ---------------------------------------------- Base , 6 Lots and Lots of Anomalous Cancellations in base, 6 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 6, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 6, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [5, 3] [1, 5] [1] ------ = --- [5, 3] [3] denominator=, [5, 4] [2, 5] [2] ------ = --- [5, 4] [4] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 0, 3] [5, 3, 2] [5, 2] --------- = ------ [2, 0, 3] [2, 0] denominator=, [2, 0, 4] [4, 4, 3] [4, 3] --------- = ------ [2, 0, 4] [2, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [3, 2, 4] [1, 1, 4, 3] [1, 1, 3] ------------ = --------- [3, 2, 4] [3, 2] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 0, 3] [2, 1, 3, 2] [2, 1, 2] ------------ = --------- [5, 0, 3] [5, 0] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 2] [2, 2, 1, 3] [2, 1, 3] ------------ = --------- [1, 0, 2] [1, 0] denominator=, [2, 0, 4] [4, 4, 3] [4, 3] --------- = ------ [2, 0, 4] [2, 0] [4, 4, 3, 0] [4, 3, 0] ------------ = --------- [2, 0, 4] [2, 0] [1, 2, 4, 1, 3] [1, 2, 1, 3] --------------- = ------------ [2, 0, 4] [2, 0] denominator=, [3, 2, 4] [1, 1, 4, 3, 0] [1, 1, 3, 0] --------------- = ------------ [3, 2, 4] [3, 2] denominator=, [3, 4, 2] [1, 2, 2, 1, 3] [1, 2, 1, 3] --------------- = ------------ [3, 4, 2] [3, 4] denominator=, [5, 0, 2] [1, 5, 2, 1, 3] [1, 5, 1, 3] --------------- = ------------ [5, 0, 2] [5, 0] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 2] [2, 5] [2] --------- = ------ [1, 5, 2] [1, 2] denominator=, [1, 5, 3] [3, 5] [3] --------- = ------ [1, 5, 3] [1, 3] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 5, 4] [1, 2, 5] [1, 2] --------- = ------ [2, 5, 4] [2, 4] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 5, 3] [1, 1, 5] [1, 1] --------- = ------ [3, 5, 3] [3, 3] denominator=, [3, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [3, 5, 4] [3, 4] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [2, 0, 4] [2, 0] --------- = ------ [4, 4, 3] [4, 3] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 5, 3] [1, 3, 5] [1, 3] --------- = ------ [4, 5, 3] [4, 3] denominator=, [4, 5, 4] [2, 2, 5] [2, 2] --------- = ------ [4, 5, 4] [4, 4] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 3, 2] [2, 0, 3] [2, 0] --------- = ------ [5, 3, 2] [5, 2] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 2] [1, 2, 5] [1, 2] --------- = ------ [5, 5, 2] [5, 2] denominator=, [5, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 3] [5, 3] denominator=, [5, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [5, 5, 4] [5, 4] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 5, 0] [5, 3] [3] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 2] [5, 4] [4] --------- = ------ [1, 5, 2] [1, 2] [2, 5, 0] [2, 0] --------- = ------ [1, 5, 2] [1, 2] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 5, 0] [5, 4] [4] --------- = ------ [2, 5, 0] [2, 0] [1, 5, 2] [1, 2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 5, 0] [1, 5, 3] [1, 3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [3, 5, 4] [3, 4] [5, 5, 3] [5, 3] --------- = ------ [3, 5, 4] [3, 4] [1, 3, 5, 1] [1, 3, 1] ------------ = --------- [3, 5, 4] [3, 4] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 3] [2, 0, 4, 0] [2, 0, 0] ------------ = --------- [4, 4, 3] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 3, 2] [2, 0, 3, 0] [2, 0, 0] ------------ = --------- [5, 3, 2] [5, 2] denominator=, [5, 5, 2] [2, 5, 4] [2, 4] --------- = ------ [5, 5, 2] [5, 2] [1, 2, 5, 0] [1, 2, 0] ------------ = --------- [5, 5, 2] [5, 2] denominator=, [5, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 3] [5, 3] [3, 5, 4] [3, 4] --------- = ------ [5, 5, 3] [5, 3] [1, 1, 5, 2] [1, 1, 2] ------------ = --------- [5, 5, 3] [5, 3] [1, 3, 5, 1] [1, 3, 1] ------------ = --------- [5, 5, 3] [5, 3] denominator=, [5, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [5, 5, 4] [5, 4] [1, 2, 5, 3] [1, 2, 3] ------------ = --------- [5, 5, 4] [5, 4] [2, 2, 5, 1] [2, 2, 1] ------------ = --------- [5, 5, 4] [5, 4] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [4, 2, 4] [2, 4] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [5, 4, 3] [4, 3] --------- = ------ [3, 5, 0] [3, 0] [2, 5, 1, 3] [2, 1, 3] ------------ = --------- [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 5, 4] [5, 5, 3] [5, 3] --------- = ------ [3, 5, 4] [3, 4] [2, 5, 4, 3] [2, 4, 3] ------------ = --------- [3, 5, 4] [3, 4] [4, 5, 3, 3] [4, 3, 3] ------------ = --------- [3, 5, 4] [3, 4] [1, 0, 5, 2, 3] [1, 0, 2, 3] --------------- = ------------ [3, 5, 4] [3, 4] [1, 2, 5, 1, 3] [1, 2, 1, 3] --------------- = ------------ [3, 5, 4] [3, 4] [1, 4, 5, 0, 3] [1, 4, 0, 3] --------------- = ------------ [3, 5, 4] [3, 4] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [1, 0, 4, 0, 5] [1, 0, 0, 5] --------------- = ------------ [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [5, 2, 0] [2, 2, 1, 2] [2, 1, 2] ------------ = --------- [5, 2, 0] [5, 0] denominator=, [5, 3, 2] [2, 0, 3, 0, 0] [2, 0, 0, 0] --------------- = ------------ [5, 3, 2] [5, 2] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 2, 4] [1, 4] [1] --------- = ------ [4, 2, 4] [2, 4] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [2, 0, 4] [2, 0] --------- = ------ [4, 4, 3] [4, 3] denominator=, [5, 3, 0] [1, 5] [1] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [2, 5] [2] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 4, 3] [3, 5] [3] --------- = ------ [5, 4, 3] [4, 3] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 2] [1, 2, 5] [1, 2] --------- = ------ [5, 5, 2] [5, 2] denominator=, [5, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 3] [5, 3] denominator=, [5, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [5, 5, 4] [5, 4] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 2, 4] [1, 4, 0] [1, 0] --------- = ------ [4, 2, 4] [2, 4] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 3] [2, 0, 4, 0] [2, 0, 0] ------------ = --------- [4, 4, 3] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] [1, 5, 0] [1, 0] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 3, 3] [1, 5, 1] [1, 1] --------- = ------ [5, 3, 3] [3, 3] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] [1, 5, 2] [1, 2] --------- = ------ [5, 4, 0] [4, 0] [2, 5, 0] [2, 0] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 4, 2] [2, 5, 1] [2, 1] --------- = ------ [5, 4, 2] [4, 2] denominator=, [5, 4, 3] [1, 5, 3] [1, 3] --------- = ------ [5, 4, 3] [4, 3] [3, 5, 0] [3, 0] --------- = ------ [5, 4, 3] [4, 3] denominator=, [5, 4, 4] [2, 5, 2] [2, 2] --------- = ------ [5, 4, 4] [4, 4] denominator=, [5, 5, 2] [2, 5, 4] [2, 4] --------- = ------ [5, 5, 2] [5, 2] [1, 2, 5, 0] [1, 2, 0] ------------ = --------- [5, 5, 2] [5, 2] denominator=, [5, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 3] [5, 3] [3, 5, 4] [3, 4] --------- = ------ [5, 5, 3] [5, 3] [1, 1, 5, 2] [1, 1, 2] ------------ = --------- [5, 5, 3] [5, 3] [1, 3, 5, 1] [1, 3, 1] ------------ = --------- [5, 5, 3] [5, 3] denominator=, [5, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [5, 5, 4] [5, 4] [1, 2, 5, 3] [1, 2, 3] ------------ = --------- [5, 5, 4] [5, 4] [2, 2, 5, 1] [2, 2, 1] ------------ = --------- [5, 5, 4] [5, 4] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 6, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 3] [1, 3, 0, 4] [1, 0, 4] ------------ = --------- [3, 2, 3] [2, 3] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 2, 4] [1, 4, 0, 0] [1, 0, 0] ------------ = --------- [4, 2, 4] [2, 4] denominator=, [4, 3, 2] [1, 4, 1, 3] [1, 1, 3] ------------ = --------- [4, 3, 2] [3, 2] denominator=, [4, 3, 4] [2, 4, 0, 5] [2, 0, 5] ------------ = --------- [4, 3, 4] [3, 4] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [1, 0, 4, 0, 5] [1, 0, 0, 5] --------------- = ------------ [4, 4, 2] [4, 2] ------------------------------------------------------------------------- This ends this book that took, 6.953, seconds to generate. ---------------------------------------------- Base , 7 Lots and Lots of Anomalous Cancellations in base, 7 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 7, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [6, 4, 3] [6, 3] --------- = ------ [2, 4, 4] [2, 4] [2, 0, 4, 1] [2, 0, 1] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [6, 4, 4] [2, 2, 4, 3] [2, 2, 3] ------------ = --------- [6, 4, 4] [6, 4] [5, 1, 4, 1] [5, 1, 1] ------------ = --------- [6, 4, 4] [6, 4] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [6, 4, 3, 0] [6, 3, 0] ------------ = --------- [2, 4, 4] [2, 4] [2, 0, 4, 1, 0] [2, 0, 1, 0] --------------- = ------------ [2, 4, 4] [2, 4] denominator=, [6, 4, 4] [2, 2, 4, 3, 0] [2, 2, 3, 0] --------------- = ------------ [6, 4, 4] [6, 4] [5, 1, 4, 1, 0] [5, 1, 1, 0] --------------- = ------------ [6, 4, 4] [6, 4] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [3, 6, 5] [3, 5] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [4, 3, 2] [4, 2] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [5, 2, 1] [5, 1] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [5, 6, 4] [5, 4] denominator=, [5, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [5, 6, 5] [5, 5] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [6, 4, 2] [6, 2] denominator=, [6, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [6, 4, 3] [6, 3] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 6, 1] [6, 4] [4] --------- = ------ [1, 6, 1] [1, 1] denominator=, [1, 6, 3] [6, 5] [5] --------- = ------ [1, 6, 3] [1, 3] [2, 6, 1] [2, 1] --------- = ------ [1, 6, 3] [1, 3] denominator=, [2, 4, 4] [6, 4, 3] [6, 3] --------- = ------ [2, 4, 4] [2, 4] [2, 0, 4, 1] [2, 0, 1] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 1] [6, 5] [5] --------- = ------ [2, 6, 1] [2, 1] [1, 6, 3] [1, 3] --------- = ------ [2, 6, 1] [2, 1] denominator=, [3, 6, 1] [1, 6, 4] [1, 4] --------- = ------ [3, 6, 1] [3, 1] denominator=, [3, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [3, 6, 5] [3, 5] [5, 6, 4] [5, 4] --------- = ------ [3, 6, 5] [3, 5] [1, 2, 6, 2] [1, 2, 2] ------------ = --------- [3, 6, 5] [3, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [3, 6, 5] [3, 5] denominator=, [4, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [4, 3, 2] [4, 2] [1, 0, 3, 1] [1, 0, 1] ------------ = --------- [4, 3, 2] [4, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [4, 3, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [5, 2, 1] [5, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [5, 2, 1] [5, 1] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 6, 3] [2, 6, 5] [2, 5] --------- = ------ [5, 6, 3] [5, 3] [1, 1, 6, 1] [1, 1, 1] ------------ = --------- [5, 6, 3] [5, 3] denominator=, [5, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [5, 6, 4] [5, 4] [3, 6, 5] [3, 5] --------- = ------ [5, 6, 4] [5, 4] [1, 0, 6, 3] [1, 0, 3] ------------ = --------- [5, 6, 4] [5, 4] [1, 2, 6, 2] [1, 2, 2] ------------ = --------- [5, 6, 4] [5, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [5, 6, 4] [5, 4] denominator=, [5, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [5, 6, 5] [5, 5] [1, 1, 6, 4] [1, 1, 4] ------------ = --------- [5, 6, 5] [5, 5] [2, 0, 6, 2] [2, 0, 2] ------------ = --------- [5, 6, 5] [5, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [5, 6, 5] [5, 5] denominator=, [6, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [6, 4, 2] [6, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [6, 4, 2] [6, 2] denominator=, [6, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [6, 4, 3] [6, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [6, 4, 3] [6, 3] [2, 0, 4, 1] [2, 0, 1] ------------ = --------- [6, 4, 3] [6, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [6, 4, 3] [6, 3] denominator=, [6, 4, 4] [2, 2, 4, 3] [2, 2, 3] ------------ = --------- [6, 4, 4] [6, 4] [5, 1, 4, 1] [5, 1, 1] ------------ = --------- [6, 4, 4] [6, 4] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 1] [6, 4, 0] [4, 0] --------- = ------ [1, 6, 1] [1, 1] denominator=, [1, 6, 3] [6, 5, 0] [5, 0] --------- = ------ [1, 6, 3] [1, 3] [2, 6, 1, 0] [2, 1, 0] ------------ = --------- [1, 6, 3] [1, 3] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 4, 4] [6, 4, 3, 0] [6, 3, 0] ------------ = --------- [2, 4, 4] [2, 4] [2, 0, 4, 1, 0] [2, 0, 1, 0] --------------- = ------------ [2, 4, 4] [2, 4] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 1] [6, 5, 0] [5, 0] --------- = ------ [2, 6, 1] [2, 1] [1, 6, 3, 0] [1, 3, 0] ------------ = --------- [2, 6, 1] [2, 1] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 1] [1, 6, 4, 0] [1, 4, 0] ------------ = --------- [3, 6, 1] [3, 1] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [3, 6, 5] [3, 5] [5, 6, 4, 0] [5, 4, 0] ------------ = --------- [3, 6, 5] [3, 5] [1, 2, 6, 2, 0] [1, 2, 2, 0] --------------- = ------------ [3, 6, 5] [3, 5] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [3, 6, 5] [3, 5] denominator=, [4, 3, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [4, 3, 2] [4, 2] [1, 0, 3, 1, 0] [1, 0, 1, 0] --------------- = ------------ [4, 3, 2] [4, 2] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [4, 3, 2] [4, 2] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 5] [1, 3, 5] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 4] [3, 2, 4] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 3] [5, 1, 3] ------------ = --------- [4, 4, 2] [4, 2] [1, 0, 4, 0, 2] [1, 0, 0, 2] --------------- = ------------ [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [5, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [5, 2, 1] [5, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [5, 2, 1] [5, 1] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 6, 3] [2, 6, 5, 0] [2, 5, 0] ------------ = --------- [5, 6, 3] [5, 3] [1, 1, 6, 1, 0] [1, 1, 1, 0] --------------- = ------------ [5, 6, 3] [5, 3] denominator=, [5, 6, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [5, 6, 4] [5, 4] [3, 6, 5, 0] [3, 5, 0] ------------ = --------- [5, 6, 4] [5, 4] [1, 0, 6, 3, 0] [1, 0, 3, 0] --------------- = ------------ [5, 6, 4] [5, 4] [1, 2, 6, 2, 0] [1, 2, 2, 0] --------------- = ------------ [5, 6, 4] [5, 4] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [5, 6, 4] [5, 4] denominator=, [5, 6, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [5, 6, 5] [5, 5] [1, 1, 6, 4, 0] [1, 1, 4, 0] --------------- = ------------ [5, 6, 5] [5, 5] [2, 0, 6, 2, 0] [2, 0, 2, 0] --------------- = ------------ [5, 6, 5] [5, 5] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [5, 6, 5] [5, 5] denominator=, [6, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [6, 4, 2] [6, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [6, 4, 2] [6, 2] denominator=, [6, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [6, 4, 3] [6, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [6, 4, 3] [6, 3] [2, 0, 4, 1, 0] [2, 0, 1, 0] --------------- = ------------ [6, 4, 3] [6, 3] [2, 4, 4, 0, 0] [2, 4, 0, 0] --------------- = ------------ [6, 4, 3] [6, 3] denominator=, [6, 4, 4] [2, 2, 4, 3, 0] [2, 2, 3, 0] --------------- = ------------ [6, 4, 4] [6, 4] [5, 1, 4, 1, 0] [5, 1, 1, 0] --------------- = ------------ [6, 4, 4] [6, 4] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] [1, 6, 1] [1, 1] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] [1, 6, 3] [1, 3] --------- = ------ [6, 5, 0] [5, 0] [2, 6, 1] [2, 1] --------- = ------ [6, 5, 0] [5, 0] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 7, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [4, 2, 6] [1, 4, 0, 1] [1, 0, 1] ------------ = --------- [4, 2, 6] [2, 6] denominator=, [4, 3, 1] [1, 4, 0, 6] [1, 0, 6] ------------ = --------- [4, 3, 1] [3, 1] denominator=, [4, 3, 3] [1, 4, 1, 4] [1, 1, 4] ------------ = --------- [4, 3, 3] [3, 3] denominator=, [4, 3, 5] [1, 4, 2, 2] [1, 2, 2] ------------ = --------- [4, 3, 5] [3, 5] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 5] [1, 3, 5] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 4] [3, 2, 4] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 3] [5, 1, 3] ------------ = --------- [4, 4, 2] [4, 2] [1, 0, 4, 0, 2] [1, 0, 0, 2] --------------- = ------------ [4, 4, 2] [4, 2] denominator=, [5, 3, 4] [1, 5, 0, 6] [1, 0, 6] ------------ = --------- [5, 3, 4] [3, 4] denominator=, [5, 4, 2] [1, 5, 2, 3] [1, 2, 3] ------------ = --------- [5, 4, 2] [4, 2] [2, 5, 0, 4] [2, 0, 4] ------------ = --------- [5, 4, 2] [4, 2] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] ------------------------------------------------------------------------- This ends this book that took, 11.407, seconds to generate. ---------------------------------------------- Base , 8 Lots and Lots of Anomalous Cancellations in base, 8 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 8, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 8, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [7, 4] [1, 7] [1] ------ = --- [7, 4] [4] denominator=, [7, 6] [3, 7] [3] ------ = --- [7, 6] [6] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 7, 3] [6, 3, 2] [6, 2] --------- = ------ [1, 7, 3] [1, 7] denominator=, [1, 7, 5] [4, 5, 4] [4, 4] --------- = ------ [1, 7, 5] [1, 7] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 2, 6] [7, 6, 4] [7, 4] --------- = ------ [2, 2, 6] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [3, 1, 5] [7, 5, 4] [7, 4] --------- = ------ [3, 1, 5] [3, 1] [2, 0, 5, 2] [2, 0, 2] ------------ = --------- [3, 1, 5] [3, 1] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 3, 5] [1, 2, 5, 4] [1, 2, 4] ------------ = --------- [4, 3, 5] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 7, 3] [2, 0, 3, 2] [2, 0, 2] ------------ = --------- [4, 7, 3] [4, 7] denominator=, [5, 2, 6] [2, 1, 6, 4] [2, 1, 4] ------------ = --------- [5, 2, 6] [5, 2] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 7, 5] [2, 0, 5, 4] [2, 0, 4] ------------ = --------- [6, 7, 5] [6, 7] denominator=, [7, 7, 3] [3, 2, 3, 2] [3, 2, 2] ------------ = --------- [7, 7, 3] [7, 7] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 7, 3] [6, 3, 2, 0] [6, 2, 0] ------------ = --------- [1, 7, 3] [1, 7] denominator=, [1, 7, 5] [4, 5, 4, 0] [4, 4, 0] ------------ = --------- [1, 7, 5] [1, 7] denominator=, [2, 2, 6] [7, 6, 4, 0] [7, 4, 0] ------------ = --------- [2, 2, 6] [2, 2] denominator=, [3, 1, 5] [7, 5, 4, 0] [7, 4, 0] ------------ = --------- [3, 1, 5] [3, 1] [2, 0, 5, 2, 0] [2, 0, 2, 0] --------------- = ------------ [3, 1, 5] [3, 1] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [4, 3, 5] [1, 2, 5, 4, 0] [1, 2, 4, 0] --------------- = ------------ [4, 3, 5] [4, 3] denominator=, [4, 7, 3] [2, 0, 3, 2, 0] [2, 0, 2, 0] --------------- = ------------ [4, 7, 3] [4, 7] denominator=, [5, 2, 6] [2, 1, 6, 4, 0] [2, 1, 4, 0] --------------- = ------------ [5, 2, 6] [5, 2] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 7, 5] [2, 0, 5, 4, 0] [2, 0, 4, 0] --------------- = ------------ [6, 7, 5] [6, 7] denominator=, [7, 7, 3] [3, 2, 3, 2, 0] [3, 2, 2, 0] --------------- = ------------ [7, 7, 3] [7, 7] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 4] [3, 7] [3] --------- = ------ [1, 7, 4] [1, 4] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 2] [3, 7] [3] --------- = ------ [2, 7, 2] [2, 2] denominator=, [2, 7, 4] [5, 7] [5] --------- = ------ [2, 7, 4] [2, 4] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 7, 6] [1, 3, 7] [1, 3] --------- = ------ [2, 7, 6] [2, 6] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 7, 6] [1, 7, 7] [1, 7] --------- = ------ [3, 7, 6] [3, 6] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 5, 4] [1, 7, 5] [1, 7] --------- = ------ [4, 5, 4] [4, 4] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 7, 4] [1, 1, 7] [1, 1] --------- = ------ [4, 7, 4] [4, 4] denominator=, [4, 7, 6] [2, 3, 7] [2, 3] --------- = ------ [4, 7, 6] [4, 6] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 7, 4] [1, 3, 7] [1, 3] --------- = ------ [5, 7, 4] [5, 4] denominator=, [5, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [5, 7, 5] [5, 5] denominator=, [5, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [5, 7, 6] [5, 6] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 3, 2] [1, 7, 3] [1, 7] --------- = ------ [6, 3, 2] [6, 2] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 7, 4] [1, 5, 7] [1, 5] --------- = ------ [6, 7, 4] [6, 4] denominator=, [6, 7, 6] [3, 3, 7] [3, 3] --------- = ------ [6, 7, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 5, 4] [3, 1, 5] [3, 1] --------- = ------ [7, 5, 4] [7, 4] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 6, 4] [2, 2, 6] [2, 2] --------- = ------ [7, 6, 4] [7, 4] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 4] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 4] [7, 4] denominator=, [7, 7, 6] [3, 7, 7] [3, 7] --------- = ------ [7, 7, 6] [7, 6] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 7, 0] [7, 4] [4] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 2] [7, 5] [5] --------- = ------ [1, 7, 2] [1, 2] denominator=, [1, 7, 4] [7, 6] [6] --------- = ------ [1, 7, 4] [1, 4] [2, 7, 2] [2, 2] --------- = ------ [1, 7, 4] [1, 4] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 7, 2] [7, 6] [6] --------- = ------ [2, 7, 2] [2, 2] [1, 7, 4] [1, 4] --------- = ------ [2, 7, 2] [2, 2] [3, 7, 0] [3, 0] --------- = ------ [2, 7, 2] [2, 2] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 7, 0] [7, 6] [6] --------- = ------ [3, 7, 0] [3, 0] [1, 7, 4] [1, 4] --------- = ------ [3, 7, 0] [3, 0] [2, 7, 2] [2, 2] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 2] [1, 7, 5] [1, 5] --------- = ------ [3, 7, 2] [3, 2] denominator=, [3, 7, 6] [1, 7, 7] [1, 7] --------- = ------ [3, 7, 6] [3, 6] [5, 7, 5] [5, 5] --------- = ------ [3, 7, 6] [3, 6] [1, 1, 7, 3] [1, 1, 3] ------------ = --------- [3, 7, 6] [3, 6] [1, 5, 7, 1] [1, 5, 1] ------------ = --------- [3, 7, 6] [3, 6] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 5, 4] [1, 7, 5, 0] [1, 7, 0] ------------ = --------- [4, 5, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [5, 5, 4] [1, 7, 5, 1] [1, 7, 1] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 7, 0] [2, 7, 4] [2, 4] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 4] [2, 7, 6] [2, 6] --------- = ------ [5, 7, 4] [5, 4] [1, 0, 7, 2] [1, 0, 2] ------------ = --------- [5, 7, 4] [5, 4] denominator=, [5, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [5, 7, 5] [5, 5] [3, 7, 6] [3, 6] --------- = ------ [5, 7, 5] [5, 5] [7, 7, 4] [7, 4] --------- = ------ [5, 7, 5] [5, 5] [1, 1, 7, 3] [1, 1, 3] ------------ = --------- [5, 7, 5] [5, 5] [1, 5, 7, 1] [1, 5, 1] ------------ = --------- [5, 7, 5] [5, 5] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [5, 7, 5] [5, 5] denominator=, [5, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [5, 7, 6] [5, 6] [1, 0, 7, 5] [1, 0, 5] ------------ = --------- [5, 7, 6] [5, 6] [1, 6, 7, 3] [1, 6, 3] ------------ = --------- [5, 7, 6] [5, 6] [2, 4, 7, 1] [2, 4, 1] ------------ = --------- [5, 7, 6] [5, 6] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 2] [1, 7, 3, 0] [1, 7, 0] ------------ = --------- [6, 3, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 5, 4] [2, 0, 5, 2] [2, 0, 2] ------------ = --------- [7, 5, 4] [7, 4] [3, 1, 5, 0] [3, 1, 0] ------------ = --------- [7, 5, 4] [7, 4] denominator=, [7, 6, 4] [2, 2, 6, 0] [2, 2, 0] ------------ = --------- [7, 6, 4] [7, 4] denominator=, [7, 7, 2] [3, 7, 5] [3, 5] --------- = ------ [7, 7, 2] [7, 2] denominator=, [7, 7, 4] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 4] [7, 4] [3, 7, 6] [3, 6] --------- = ------ [7, 7, 4] [7, 4] [5, 7, 5] [5, 5] --------- = ------ [7, 7, 4] [7, 4] [1, 1, 7, 3] [1, 1, 3] ------------ = --------- [7, 7, 4] [7, 4] [1, 3, 7, 2] [1, 3, 2] ------------ = --------- [7, 7, 4] [7, 4] [1, 5, 7, 1] [1, 5, 1] ------------ = --------- [7, 7, 4] [7, 4] denominator=, [7, 7, 6] [3, 7, 7] [3, 7] --------- = ------ [7, 7, 6] [7, 6] [1, 3, 7, 5] [1, 3, 5] ------------ = --------- [7, 7, 6] [7, 6] [2, 3, 7, 3] [2, 3, 3] ------------ = --------- [7, 7, 6] [7, 6] [3, 3, 7, 1] [3, 3, 1] ------------ = --------- [7, 7, 6] [7, 6] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 1] [5, 3, 6] [3, 6] --------- = ------ [1, 5, 1] [1, 1] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 2] [7, 6, 0] [6, 0] --------- = ------ [2, 7, 2] [2, 2] [1, 7, 4, 0] [1, 4, 0] ------------ = --------- [2, 7, 2] [2, 2] [3, 7, 0, 0] [3, 0, 0] ------------ = --------- [2, 7, 2] [2, 2] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 7] [6, 0, 7] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 5, 4] [1, 7, 5, 0, 0] [1, 7, 0, 0] --------------- = ------------ [4, 5, 4] [4, 4] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 7, 5] [7, 7, 4] [7, 4] --------- = ------ [5, 7, 5] [5, 5] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [5, 7, 5] [5, 5] [3, 7, 6, 0] [3, 6, 0] ------------ = --------- [5, 7, 5] [5, 5] [4, 7, 5, 4] [4, 5, 4] ------------ = --------- [5, 7, 5] [5, 5] [6, 7, 4, 4] [6, 4, 4] ------------ = --------- [5, 7, 5] [5, 5] [7, 7, 4, 0] [7, 4, 0] ------------ = --------- [5, 7, 5] [5, 5] [1, 1, 7, 3, 0] [1, 1, 3, 0] --------------- = ------------ [5, 7, 5] [5, 5] [1, 2, 7, 2, 4] [1, 2, 2, 4] --------------- = ------------ [5, 7, 5] [5, 5] [1, 4, 7, 1, 4] [1, 4, 1, 4] --------------- = ------------ [5, 7, 5] [5, 5] [1, 5, 7, 1, 0] [1, 5, 1, 0] --------------- = ------------ [5, 7, 5] [5, 5] [1, 7, 7, 0, 0] [1, 7, 0, 0] --------------- = ------------ [5, 7, 5] [5, 5] denominator=, [6, 3, 2] [1, 7, 3, 0, 0] [1, 7, 0, 0] --------------- = ------------ [6, 3, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [1, 0, 6, 1, 7] [1, 0, 1, 7] --------------- = ------------ [6, 6, 3] [6, 3] [1, 2, 6, 0, 6] [1, 2, 0, 6] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [1, 1, 6, 2, 6] [1, 1, 2, 6] --------------- = ------------ [6, 6, 4] [6, 4] [1, 7, 6, 0, 2] [1, 7, 0, 2] --------------- = ------------ [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [7, 5, 4] [2, 0, 5, 2, 0] [2, 0, 2, 0] --------------- = ------------ [7, 5, 4] [7, 4] [3, 1, 5, 0, 0] [3, 1, 0, 0] --------------- = ------------ [7, 5, 4] [7, 4] denominator=, [7, 6, 4] [2, 2, 6, 0, 0] [2, 2, 0, 0] --------------- = ------------ [7, 6, 4] [7, 4] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 4, 0] [1, 7] [1] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 6, 0] [3, 7] [3] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 4] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 4] [7, 4] denominator=, [7, 7, 6] [3, 7, 7] [3, 7] --------- = ------ [7, 7, 6] [7, 6] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 3, 6] [1, 5, 1] [1, 1] --------- = ------ [5, 3, 6] [3, 6] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 4] [1, 7, 5, 1] [1, 7, 1] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 7, 0] [5, 7] [7] --------- = ------ [5, 7, 0] [7, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] [1, 7, 0] [1, 0] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 4, 4] [1, 7, 1] [1, 1] --------- = ------ [7, 4, 4] [4, 4] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] [1, 7, 2] [1, 2] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 5, 4] [1, 7, 3] [1, 3] --------- = ------ [7, 5, 4] [5, 4] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] [1, 7, 4] [1, 4] --------- = ------ [7, 6, 0] [6, 0] [2, 7, 2] [2, 2] --------- = ------ [7, 6, 0] [6, 0] [3, 7, 0] [3, 0] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 6, 2] [3, 7, 1] [3, 1] --------- = ------ [7, 6, 2] [6, 2] denominator=, [7, 6, 4] [1, 7, 5] [1, 5] --------- = ------ [7, 6, 4] [6, 4] [3, 7, 2] [3, 2] --------- = ------ [7, 6, 4] [6, 4] denominator=, [7, 6, 6] [3, 7, 3] [3, 3] --------- = ------ [7, 6, 6] [6, 6] denominator=, [7, 7, 2] [3, 7, 5] [3, 5] --------- = ------ [7, 7, 2] [7, 2] denominator=, [7, 7, 4] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 4] [7, 4] [3, 7, 6] [3, 6] --------- = ------ [7, 7, 4] [7, 4] [5, 7, 5] [5, 5] --------- = ------ [7, 7, 4] [7, 4] [1, 1, 7, 3] [1, 1, 3] ------------ = --------- [7, 7, 4] [7, 4] [1, 3, 7, 2] [1, 3, 2] ------------ = --------- [7, 7, 4] [7, 4] [1, 5, 7, 1] [1, 5, 1] ------------ = --------- [7, 7, 4] [7, 4] denominator=, [7, 7, 6] [3, 7, 7] [3, 7] --------- = ------ [7, 7, 6] [7, 6] [1, 3, 7, 5] [1, 3, 5] ------------ = --------- [7, 7, 6] [7, 6] [2, 3, 7, 3] [2, 3, 3] ------------ = --------- [7, 7, 6] [7, 6] [3, 3, 7, 1] [3, 3, 1] ------------ = --------- [7, 7, 6] [7, 6] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 8, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 5] [1, 3, 0, 6] [1, 0, 6] ------------ = --------- [3, 2, 5] [2, 5] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 0] [1, 4, 0, 2] [1, 0, 2] ------------ = --------- [4, 3, 0] [3, 0] denominator=, [4, 3, 4] [1, 4, 1, 5] [1, 1, 5] ------------ = --------- [4, 3, 4] [3, 4] denominator=, [4, 3, 6] [2, 4, 0, 7] [2, 0, 7] ------------ = --------- [4, 3, 6] [3, 6] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 7] [6, 0, 7] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [5, 3, 6] [1, 5, 1, 0] [1, 1, 0] ------------ = --------- [5, 3, 6] [3, 6] denominator=, [5, 4, 3] [1, 5, 2, 4] [1, 2, 4] ------------ = --------- [5, 4, 3] [4, 3] [2, 5, 0, 5] [2, 0, 5] ------------ = --------- [5, 4, 3] [4, 3] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 3, 6] [1, 6, 0, 1] [1, 0, 1] ------------ = --------- [6, 3, 6] [3, 6] denominator=, [6, 4, 4] [1, 6, 1, 6] [1, 1, 6] ------------ = --------- [6, 4, 4] [4, 4] denominator=, [6, 4, 7] [2, 6, 0, 2] [2, 0, 2] ------------ = --------- [6, 4, 7] [4, 7] denominator=, [6, 5, 2] [1, 6, 3, 3] [1, 3, 3] ------------ = --------- [6, 5, 2] [5, 2] [2, 6, 1, 4] [2, 1, 4] ------------ = --------- [6, 5, 2] [5, 2] denominator=, [6, 5, 4] [3, 6, 0, 6] [3, 0, 6] ------------ = --------- [6, 5, 4] [5, 4] denominator=, [6, 5, 5] [2, 6, 2, 6] [2, 2, 6] ------------ = --------- [6, 5, 5] [5, 5] denominator=, [6, 5, 6] [3, 6, 1, 7] [3, 1, 7] ------------ = --------- [6, 5, 6] [5, 6] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [1, 0, 6, 1, 7] [1, 0, 1, 7] --------------- = ------------ [6, 6, 3] [6, 3] [1, 2, 6, 0, 6] [1, 2, 0, 6] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [1, 1, 6, 2, 6] [1, 1, 2, 6] --------------- = ------------ [6, 6, 4] [6, 4] [1, 7, 6, 0, 2] [1, 7, 0, 2] --------------- = ------------ [6, 6, 4] [6, 4] ------------------------------------------------------------------------- This ends this book that took, 18.356, seconds to generate. ---------------------------------------------- Base , 9 Lots and Lots of Anomalous Cancellations in base, 9 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 9, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 9, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [4, 3] [1, 4] [1] ------ = --- [4, 3] [3] denominator=, [8, 6] [2, 8] [2] ------ = --- [8, 6] [6] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 2, 5] [1, 0, 5, 3] [1, 0, 3] ------------ = --------- [2, 2, 5] [2, 2] denominator=, [3, 1, 7] [6, 7, 6] [6, 6] --------- = ------ [3, 1, 7] [3, 1] [1, 8, 7, 3] [1, 8, 3] ------------ = --------- [3, 1, 7] [3, 1] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [8, 6, 5] [8, 5] --------- = ------ [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [3, 1, 6, 1] [3, 1, 1] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 8, 5] [1, 7, 5, 3] [1, 7, 3] ------------ = --------- [3, 8, 5] [3, 8] denominator=, [5, 4, 7] [1, 2, 7, 6] [1, 2, 6] ------------ = --------- [5, 4, 7] [5, 4] [3, 3, 7, 3] [3, 3, 3] ------------ = --------- [5, 4, 7] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 2, 5] [3, 3, 5, 3] [3, 3, 3] ------------ = --------- [7, 2, 5] [7, 2] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 8, 5] [4, 1, 5, 3] [4, 1, 3] ------------ = --------- [8, 8, 5] [8, 8] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 2, 5] [1, 0, 5, 3, 0] [1, 0, 3, 0] --------------- = ------------ [2, 2, 5] [2, 2] denominator=, [3, 1, 7] [6, 7, 6, 0] [6, 6, 0] ------------ = --------- [3, 1, 7] [3, 1] [1, 8, 7, 3, 0] [1, 8, 3, 0] --------------- = ------------ [3, 1, 7] [3, 1] denominator=, [3, 8, 5] [1, 7, 5, 3, 0] [1, 7, 3, 0] --------------- = ------------ [3, 8, 5] [3, 8] denominator=, [5, 4, 7] [1, 2, 7, 6, 0] [1, 2, 6, 0] --------------- = ------------ [5, 4, 7] [5, 4] [3, 3, 7, 3, 0] [3, 3, 3, 0] --------------- = ------------ [5, 4, 7] [5, 4] denominator=, [7, 2, 5] [3, 3, 5, 3, 0] [3, 3, 3, 0] --------------- = ------------ [7, 2, 5] [7, 2] denominator=, [8, 8, 5] [4, 1, 5, 3, 0] [4, 1, 3, 0] --------------- = ------------ [8, 8, 5] [8, 8] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 3] [2, 8] [2] --------- = ------ [1, 8, 3] [1, 3] denominator=, [1, 8, 6] [5, 8] [5] --------- = ------ [1, 8, 6] [1, 6] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 4, 3] [7, 4] [7] --------- = ------ [2, 4, 3] [2, 3] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 4, 3] [1, 1, 4] [1, 1] --------- = ------ [3, 4, 3] [3, 3] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 3] [5, 8] [5] --------- = ------ [3, 8, 3] [3, 3] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 8, 6] [1, 2, 8] [1, 2] --------- = ------ [3, 8, 6] [3, 6] denominator=, [3, 8, 7] [1, 8, 8] [1, 8] --------- = ------ [3, 8, 7] [3, 7] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [4, 4, 3] [4, 3] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 8, 6] [1, 5, 8] [1, 5] --------- = ------ [4, 8, 6] [4, 6] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 4, 3] [1, 7, 4] [1, 7] --------- = ------ [5, 4, 3] [5, 3] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [5, 8, 6] [5, 6] denominator=, [5, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [5, 8, 7] [5, 7] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [6, 2, 1] [6, 1] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 4, 3] [2, 1, 4] [2, 1] --------- = ------ [6, 4, 3] [6, 3] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 7, 6] [3, 1, 7] [3, 1] --------- = ------ [6, 7, 6] [6, 6] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 8, 6] [2, 2, 8] [2, 2] --------- = ------ [6, 8, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [7, 4, 2] [7, 2] denominator=, [7, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [7, 4, 3] [7, 3] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 8, 3] [1, 2, 8] [1, 2] --------- = ------ [7, 8, 3] [7, 3] denominator=, [7, 8, 5] [1, 8, 8] [1, 8] --------- = ------ [7, 8, 5] [7, 5] denominator=, [7, 8, 6] [2, 5, 8] [2, 5] --------- = ------ [7, 8, 6] [7, 6] denominator=, [7, 8, 7] [3, 8, 8] [3, 8] --------- = ------ [7, 8, 7] [7, 7] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 4, 3] [2, 7, 4] [2, 7] --------- = ------ [8, 4, 3] [8, 3] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 6, 3] [1, 6, 6] [1, 6] --------- = ------ [8, 6, 3] [8, 3] denominator=, [8, 6, 5] [3, 6, 6] [3, 6] --------- = ------ [8, 6, 5] [8, 5] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [8, 8, 6] [8, 6] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 4, 0] [4, 3] [3] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 8, 1] [8, 5] [5] --------- = ------ [1, 8, 1] [1, 1] denominator=, [1, 8, 3] [8, 6] [6] --------- = ------ [1, 8, 3] [1, 3] [2, 8, 0] [2, 0] --------- = ------ [1, 8, 3] [1, 3] denominator=, [1, 8, 5] [8, 7] [7] --------- = ------ [1, 8, 5] [1, 5] [2, 8, 3] [2, 3] --------- = ------ [1, 8, 5] [1, 5] denominator=, [2, 8, 0] [8, 6] [6] --------- = ------ [2, 8, 0] [2, 0] [1, 8, 3] [1, 3] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 3] [8, 7] [7] --------- = ------ [2, 8, 3] [2, 3] [1, 8, 5] [1, 5] --------- = ------ [2, 8, 3] [2, 3] [3, 8, 1] [3, 1] --------- = ------ [2, 8, 3] [2, 3] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [8, 6, 5] [8, 5] --------- = ------ [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [3, 1, 6, 1] [3, 1, 1] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 8, 1] [8, 7] [7] --------- = ------ [3, 8, 1] [3, 1] [1, 8, 5] [1, 5] --------- = ------ [3, 8, 1] [3, 1] [2, 8, 3] [2, 3] --------- = ------ [3, 8, 1] [3, 1] denominator=, [3, 8, 3] [1, 8, 6] [1, 6] --------- = ------ [3, 8, 3] [3, 3] [5, 8, 0] [5, 0] --------- = ------ [3, 8, 3] [3, 3] denominator=, [3, 8, 7] [1, 8, 8] [1, 8] --------- = ------ [3, 8, 7] [3, 7] [5, 8, 6] [5, 6] --------- = ------ [3, 8, 7] [3, 7] [1, 0, 8, 4] [1, 0, 4] ------------ = --------- [3, 8, 7] [3, 7] [1, 4, 8, 2] [1, 4, 2] ------------ = --------- [3, 8, 7] [3, 7] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [3, 8, 7] [3, 7] denominator=, [4, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [4, 4, 3] [4, 3] [7, 4, 2] [7, 2] --------- = ------ [4, 4, 3] [4, 3] [1, 1, 4, 1] [1, 1, 1] ------------ = --------- [4, 4, 3] [4, 3] denominator=, [4, 7, 6] [1, 8, 7, 1] [1, 8, 1] ------------ = --------- [4, 7, 6] [4, 6] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 8, 0] [1, 8, 6] [1, 6] --------- = ------ [5, 8, 0] [5, 0] [3, 8, 3] [3, 3] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 1] [2, 8, 5] [2, 5] --------- = ------ [5, 8, 1] [5, 1] denominator=, [5, 8, 5] [2, 8, 7] [2, 7] --------- = ------ [5, 8, 5] [5, 5] [8, 8, 3] [8, 3] --------- = ------ [5, 8, 5] [5, 5] denominator=, [5, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [5, 8, 6] [5, 6] [3, 8, 7] [3, 7] --------- = ------ [5, 8, 6] [5, 6] [7, 8, 5] [7, 5] --------- = ------ [5, 8, 6] [5, 6] [1, 0, 8, 4] [1, 0, 4] ------------ = --------- [5, 8, 6] [5, 6] [1, 4, 8, 2] [1, 4, 2] ------------ = --------- [5, 8, 6] [5, 6] [1, 6, 8, 1] [1, 6, 1] ------------ = --------- [5, 8, 6] [5, 6] denominator=, [5, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [5, 8, 7] [5, 7] [8, 8, 6] [8, 6] --------- = ------ [5, 8, 7] [5, 7] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [5, 8, 7] [5, 7] [2, 2, 8, 2] [2, 2, 2] ------------ = --------- [5, 8, 7] [5, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [5, 8, 7] [5, 7] denominator=, [6, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [6, 2, 1] [6, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [6, 2, 1] [6, 1] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 7, 6] [1, 8, 7, 3] [1, 8, 3] ------------ = --------- [6, 7, 6] [6, 6] [3, 1, 7, 0] [3, 1, 0] ------------ = --------- [6, 7, 6] [6, 6] denominator=, [7, 4, 0] [2, 4, 3] [2, 3] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [7, 4, 2] [7, 2] [4, 4, 3] [4, 3] --------- = ------ [7, 4, 2] [7, 2] [1, 1, 4, 1] [1, 1, 1] ------------ = --------- [7, 4, 2] [7, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [7, 4, 2] [7, 2] denominator=, [7, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [7, 4, 3] [7, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [7, 4, 3] [7, 3] [1, 8, 4, 1] [1, 8, 1] ------------ = --------- [7, 4, 3] [7, 3] denominator=, [7, 7, 6] [3, 1, 7, 1] [3, 1, 1] ------------ = --------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 8, 3] [3, 8, 6] [3, 6] --------- = ------ [7, 8, 3] [7, 3] [1, 2, 8, 0] [1, 2, 0] ------------ = --------- [7, 8, 3] [7, 3] denominator=, [7, 8, 5] [1, 8, 8] [1, 8] --------- = ------ [7, 8, 5] [7, 5] [3, 8, 7] [3, 7] --------- = ------ [7, 8, 5] [7, 5] [5, 8, 6] [5, 6] --------- = ------ [7, 8, 5] [7, 5] [1, 0, 8, 4] [1, 0, 4] ------------ = --------- [7, 8, 5] [7, 5] [1, 2, 8, 3] [1, 2, 3] ------------ = --------- [7, 8, 5] [7, 5] [1, 4, 8, 2] [1, 4, 2] ------------ = --------- [7, 8, 5] [7, 5] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [7, 8, 5] [7, 5] denominator=, [7, 8, 7] [3, 8, 8] [3, 8] --------- = ------ [7, 8, 7] [7, 7] [1, 2, 8, 6] [1, 2, 6] ------------ = --------- [7, 8, 7] [7, 7] [2, 1, 8, 4] [2, 1, 4] ------------ = --------- [7, 8, 7] [7, 7] [3, 0, 8, 2] [3, 0, 2] ------------ = --------- [7, 8, 7] [7, 7] [3, 8, 8, 0] [3, 8, 0] ------------ = --------- [7, 8, 7] [7, 7] denominator=, [8, 6, 3] [1, 6, 6] [1, 6] --------- = ------ [8, 6, 3] [8, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [8, 6, 3] [8, 3] denominator=, [8, 6, 5] [3, 6, 6] [3, 6] --------- = ------ [8, 6, 5] [8, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [8, 6, 5] [8, 5] [2, 0, 6, 3] [2, 0, 3] ------------ = --------- [8, 6, 5] [8, 5] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [8, 6, 5] [8, 5] [3, 1, 6, 1] [3, 1, 1] ------------ = --------- [8, 6, 5] [8, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [8, 6, 5] [8, 5] denominator=, [8, 8, 3] [2, 8, 7] [2, 7] --------- = ------ [8, 8, 3] [8, 3] [5, 8, 5] [5, 5] --------- = ------ [8, 8, 3] [8, 3] [1, 2, 8, 1] [1, 2, 1] ------------ = --------- [8, 8, 3] [8, 3] denominator=, [8, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [8, 8, 6] [8, 6] [5, 8, 7] [5, 7] --------- = ------ [8, 8, 6] [8, 6] [1, 2, 8, 5] [1, 2, 5] ------------ = --------- [8, 8, 6] [8, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [8, 8, 6] [8, 6] [2, 2, 8, 2] [2, 2, 2] ------------ = --------- [8, 8, 6] [8, 6] [2, 5, 8, 1] [2, 5, 1] ------------ = --------- [8, 8, 6] [8, 6] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 1] [7, 4, 6] [4, 6] --------- = ------ [1, 7, 1] [1, 1] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 1] [8, 5, 0] [5, 0] --------- = ------ [1, 8, 1] [1, 1] denominator=, [1, 8, 3] [8, 6, 0] [6, 0] --------- = ------ [1, 8, 3] [1, 3] [2, 8, 0, 0] [2, 0, 0] ------------ = --------- [1, 8, 3] [1, 3] denominator=, [1, 8, 5] [8, 7, 0] [7, 0] --------- = ------ [1, 8, 5] [1, 5] [2, 8, 3, 0] [2, 3, 0] ------------ = --------- [1, 8, 5] [1, 5] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 1] [8, 7, 0] [7, 0] --------- = ------ [3, 8, 1] [3, 1] [1, 8, 5, 0] [1, 5, 0] ------------ = --------- [3, 8, 1] [3, 1] [2, 8, 3, 0] [2, 3, 0] ------------ = --------- [3, 8, 1] [3, 1] denominator=, [3, 8, 3] [1, 8, 6, 0] [1, 6, 0] ------------ = --------- [3, 8, 3] [3, 3] [5, 8, 0, 0] [5, 0, 0] ------------ = --------- [3, 8, 3] [3, 3] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 8, 7] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [3, 8, 7] [3, 7] [5, 8, 6, 0] [5, 6, 0] ------------ = --------- [3, 8, 7] [3, 7] [1, 0, 8, 4, 0] [1, 0, 4, 0] --------------- = ------------ [3, 8, 7] [3, 7] [1, 4, 8, 2, 0] [1, 4, 2, 0] --------------- = ------------ [3, 8, 7] [3, 7] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [3, 8, 7] [3, 7] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 1] [8, 7, 6] [7, 6] --------- = ------ [5, 8, 1] [5, 1] [2, 8, 5, 0] [2, 5, 0] ------------ = --------- [5, 8, 1] [5, 1] [4, 8, 2, 3] [4, 2, 3] ------------ = --------- [5, 8, 1] [5, 1] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 8, 5] [8, 8, 3] [8, 3] --------- = ------ [5, 8, 5] [5, 5] [2, 8, 7, 0] [2, 7, 0] ------------ = --------- [5, 8, 5] [5, 5] [4, 8, 5, 6] [4, 5, 6] ------------ = --------- [5, 8, 5] [5, 5] [6, 8, 4, 3] [6, 4, 3] ------------ = --------- [5, 8, 5] [5, 5] [8, 8, 3, 0] [8, 3, 0] ------------ = --------- [5, 8, 5] [5, 5] [1, 1, 8, 1, 6] [1, 1, 1, 6] --------------- = ------------ [5, 8, 5] [5, 5] [1, 3, 8, 0, 3] [1, 3, 0, 3] --------------- = ------------ [5, 8, 5] [5, 5] denominator=, [5, 8, 7] [8, 8, 6] [8, 6] --------- = ------ [5, 8, 7] [5, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [5, 8, 7] [5, 7] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [5, 8, 7] [5, 7] [6, 8, 6, 6] [6, 6, 6] ------------ = --------- [5, 8, 7] [5, 7] [8, 8, 6, 0] [8, 6, 0] ------------ = --------- [5, 8, 7] [5, 7] [1, 1, 8, 5, 3] [1, 1, 5, 3] --------------- = ------------ [5, 8, 7] [5, 7] [1, 3, 8, 4, 6] [1, 3, 4, 6] --------------- = ------------ [5, 8, 7] [5, 7] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [5, 8, 7] [5, 7] [1, 7, 8, 3, 3] [1, 7, 3, 3] --------------- = ------------ [5, 8, 7] [5, 7] [2, 0, 8, 2, 6] [2, 0, 2, 6] --------------- = ------------ [5, 8, 7] [5, 7] [2, 2, 8, 2, 0] [2, 2, 2, 0] --------------- = ------------ [5, 8, 7] [5, 7] [2, 4, 8, 1, 3] [2, 4, 1, 3] --------------- = ------------ [5, 8, 7] [5, 7] [2, 6, 8, 0, 6] [2, 6, 0, 6] --------------- = ------------ [5, 8, 7] [5, 7] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [5, 8, 7] [5, 7] denominator=, [6, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [6, 2, 1] [6, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [6, 2, 1] [6, 1] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 7] [1, 5, 7] ------------ = --------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 5] [5, 3, 5] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 4] [7, 2, 4] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 8] [8, 1, 8] ------------ = --------- [6, 6, 3] [6, 3] [1, 1, 6, 0, 7] [1, 1, 0, 7] --------------- = ------------ [6, 6, 3] [6, 3] [1, 2, 6, 0, 2] [1, 2, 0, 2] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 7, 6] [1, 8, 7, 3, 0] [1, 8, 3, 0] --------------- = ------------ [6, 7, 6] [6, 6] [3, 1, 7, 0, 0] [3, 1, 0, 0] --------------- = ------------ [6, 7, 6] [6, 6] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [7, 4, 2] [4, 4, 3] [4, 3] --------- = ------ [7, 4, 2] [7, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [7, 4, 2] [7, 2] [3, 4, 3, 3] [3, 3, 3] ------------ = --------- [7, 4, 2] [7, 2] [4, 4, 3, 0] [4, 3, 0] ------------ = --------- [7, 4, 2] [7, 2] [5, 4, 2, 6] [5, 2, 6] ------------ = --------- [7, 4, 2] [7, 2] [6, 4, 2, 3] [6, 2, 3] ------------ = --------- [7, 4, 2] [7, 2] [8, 4, 1, 6] [8, 1, 6] ------------ = --------- [7, 4, 2] [7, 2] [1, 0, 4, 1, 3] [1, 0, 1, 3] --------------- = ------------ [7, 4, 2] [7, 2] [1, 1, 4, 1, 0] [1, 1, 1, 0] --------------- = ------------ [7, 4, 2] [7, 2] [1, 2, 4, 0, 6] [1, 2, 0, 6] --------------- = ------------ [7, 4, 2] [7, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [7, 4, 2] [7, 2] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 8, 3] [3, 8, 6, 0] [3, 6, 0] ------------ = --------- [7, 8, 3] [7, 3] [1, 2, 8, 0, 0] [1, 2, 0, 0] --------------- = ------------ [7, 8, 3] [7, 3] denominator=, [7, 8, 5] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [7, 8, 5] [7, 5] [3, 8, 7, 0] [3, 7, 0] ------------ = --------- [7, 8, 5] [7, 5] [5, 8, 6, 0] [5, 6, 0] ------------ = --------- [7, 8, 5] [7, 5] [1, 0, 8, 4, 0] [1, 0, 4, 0] --------------- = ------------ [7, 8, 5] [7, 5] [1, 2, 8, 3, 0] [1, 2, 3, 0] --------------- = ------------ [7, 8, 5] [7, 5] [1, 4, 8, 2, 0] [1, 4, 2, 0] --------------- = ------------ [7, 8, 5] [7, 5] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [7, 8, 5] [7, 5] denominator=, [7, 8, 7] [3, 8, 8, 0] [3, 8, 0] ------------ = --------- [7, 8, 7] [7, 7] [1, 2, 8, 6, 0] [1, 2, 6, 0] --------------- = ------------ [7, 8, 7] [7, 7] [2, 1, 8, 4, 0] [2, 1, 4, 0] --------------- = ------------ [7, 8, 7] [7, 7] [3, 0, 8, 2, 0] [3, 0, 2, 0] --------------- = ------------ [7, 8, 7] [7, 7] [3, 8, 8, 0, 0] [3, 8, 0, 0] --------------- = ------------ [7, 8, 7] [7, 7] denominator=, [8, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [8, 6, 3] [8, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [8, 6, 3] [8, 3] denominator=, [8, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [8, 6, 5] [8, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [8, 6, 5] [8, 5] [2, 0, 6, 3, 0] [2, 0, 3, 0] --------------- = ------------ [8, 6, 5] [8, 5] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [8, 6, 5] [8, 5] [3, 1, 6, 1, 0] [3, 1, 1, 0] --------------- = ------------ [8, 6, 5] [8, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [8, 6, 5] [8, 5] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 3, 0] [1, 4] [1] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [4, 4, 3] [4, 3] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 6, 0] [2, 8] [2] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [8, 8, 6] [8, 6] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] [1, 4, 0] [1, 0] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 3, 3] [1, 4, 1] [1, 1] --------- = ------ [4, 3, 3] [3, 3] denominator=, [4, 3, 6] [1, 4, 2] [1, 2] --------- = ------ [4, 3, 6] [3, 6] denominator=, [4, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [4, 4, 3] [4, 3] [7, 4, 2] [7, 2] --------- = ------ [4, 4, 3] [4, 3] [1, 1, 4, 1] [1, 1, 1] ------------ = --------- [4, 4, 3] [4, 3] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 8, 0] [5, 8] [8] --------- = ------ [5, 8, 0] [8, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 4, 6] [1, 7, 1] [1, 1] --------- = ------ [7, 4, 6] [4, 6] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 6] [3, 1, 7, 1] [3, 1, 1] ------------ = --------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] [1, 8, 1] [1, 1] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] [1, 8, 3] [1, 3] --------- = ------ [8, 6, 0] [6, 0] [2, 8, 0] [2, 0] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 6, 3] [2, 8, 1] [2, 1] --------- = ------ [8, 6, 3] [6, 3] denominator=, [8, 6, 6] [2, 8, 2] [2, 2] --------- = ------ [8, 6, 6] [6, 6] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] [1, 8, 5] [1, 5] --------- = ------ [8, 7, 0] [7, 0] [2, 8, 3] [2, 3] --------- = ------ [8, 7, 0] [7, 0] [3, 8, 1] [3, 1] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 7, 3] [2, 8, 4] [2, 4] --------- = ------ [8, 7, 3] [7, 3] denominator=, [8, 7, 6] [2, 8, 5] [2, 5] --------- = ------ [8, 7, 6] [7, 6] [5, 8, 1] [5, 1] --------- = ------ [8, 7, 6] [7, 6] denominator=, [8, 8, 3] [2, 8, 7] [2, 7] --------- = ------ [8, 8, 3] [8, 3] [5, 8, 5] [5, 5] --------- = ------ [8, 8, 3] [8, 3] [1, 2, 8, 1] [1, 2, 1] ------------ = --------- [8, 8, 3] [8, 3] denominator=, [8, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [8, 8, 6] [8, 6] [5, 8, 7] [5, 7] --------- = ------ [8, 8, 6] [8, 6] [1, 2, 8, 5] [1, 2, 5] ------------ = --------- [8, 8, 6] [8, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [8, 8, 6] [8, 6] [2, 2, 8, 2] [2, 2, 2] ------------ = --------- [8, 8, 6] [8, 6] [2, 5, 8, 1] [2, 5, 1] ------------ = --------- [8, 8, 6] [8, 6] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 9, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [3, 2, 6] [1, 3, 0, 7] [1, 0, 7] ------------ = --------- [3, 2, 6] [2, 6] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [5, 3, 8] [1, 5, 1, 1] [1, 1, 1] ------------ = --------- [5, 3, 8] [3, 8] denominator=, [5, 4, 4] [1, 5, 2, 5] [1, 2, 5] ------------ = --------- [5, 4, 4] [4, 4] [2, 5, 0, 6] [2, 0, 6] ------------ = --------- [5, 4, 4] [4, 4] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 0] [1, 6, 0, 3] [1, 0, 3] ------------ = --------- [6, 4, 0] [4, 0] denominator=, [6, 4, 3] [1, 6, 1, 1] [1, 1, 1] ------------ = --------- [6, 4, 3] [4, 3] denominator=, [6, 4, 6] [1, 6, 1, 8] [1, 1, 8] ------------ = --------- [6, 4, 6] [4, 6] denominator=, [6, 5, 0] [1, 6, 2, 6] [1, 2, 6] ------------ = --------- [6, 5, 0] [5, 0] [2, 6, 0, 3] [2, 0, 3] ------------ = --------- [6, 5, 0] [5, 0] denominator=, [6, 5, 3] [1, 6, 3, 4] [1, 3, 4] ------------ = --------- [6, 5, 3] [5, 3] [2, 6, 1, 5] [2, 1, 5] ------------ = --------- [6, 5, 3] [5, 3] denominator=, [6, 5, 6] [1, 6, 4, 2] [1, 4, 2] ------------ = --------- [6, 5, 6] [5, 6] [2, 6, 2, 7] [2, 2, 7] ------------ = --------- [6, 5, 6] [5, 6] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 7] [1, 5, 7] ------------ = --------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 5] [5, 3, 5] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 4] [7, 2, 4] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 8] [8, 1, 8] ------------ = --------- [6, 6, 3] [6, 3] [1, 1, 6, 0, 7] [1, 1, 0, 7] --------------- = ------------ [6, 6, 3] [6, 3] [1, 2, 6, 0, 2] [1, 2, 0, 2] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [7, 4, 6] [1, 7, 1, 0] [1, 1, 0] ------------ = --------- [7, 4, 6] [4, 6] denominator=, [7, 5, 4] [1, 7, 2, 6] [1, 2, 6] ------------ = --------- [7, 5, 4] [5, 4] denominator=, [7, 6, 2] [1, 7, 4, 3] [1, 4, 3] ------------ = --------- [7, 6, 2] [6, 2] [2, 7, 2, 4] [2, 2, 4] ------------ = --------- [7, 6, 2] [6, 2] [3, 7, 0, 5] [3, 0, 5] ------------ = --------- [7, 6, 2] [6, 2] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] ------------------------------------------------------------------------- This ends this book that took, 26.535, seconds to generate. ---------------------------------------------- Base , 10 Lots and Lots of Anomalous Cancellations By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellation where the\ denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct1 Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 26 numerators:, 65 ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 64 numerators:, 16 denominator= 65 numerators:, 26 denominator= 95 numerators:, 19 denominator= 98 numerators:, 49 ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 64 numerators:, 160 ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 106 numerators:, 265 denominator= 146 numerators:, 365 denominator= 186 numerators:, 465 denominator= 217 numerators:, 775 denominator= 222 numerators:, 1221 denominator= 226 numerators:, 565 denominator= 244 numerators:, 1342 denominator= 248 numerators:, 1085 denominator= 266 numerators:, 665, 1463, 2261 denominator= 288 numerators:, 1584 denominator= 305 numerators:, 854, 1952 denominator= 306 numerators:, 765 denominator= 346 numerators:, 865 denominator= 357 numerators:, 1275 denominator= 386 numerators:, 965 denominator= 408 numerators:, 1785 denominator= 422 numerators:, 2321 denominator= 426 numerators:, 1065 denominator= 427 numerators:, 976, 2074, 3172 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 466 numerators:, 1165, 2563, 3961 denominator= 488 numerators:, 1586, 2684, 3782 denominator= 497 numerators:, 1775 denominator= 506 numerators:, 1265 denominator= 546 numerators:, 1365 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 568 numerators:, 2485 denominator= 586 numerators:, 1465 denominator= 622 numerators:, 3421 denominator= 626 numerators:, 1565 denominator= 637 numerators:, 2275 denominator= 644 numerators:, 3542 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 688 numerators:, 3784 denominator= 706 numerators:, 1765 denominator= 728 numerators:, 3185 denominator= 746 numerators:, 1865 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 786 numerators:, 1965 denominator= 805 numerators:, 2254, 5152 denominator= 822 numerators:, 4521 denominator= 826 numerators:, 2065 denominator= 844 numerators:, 2743, 4642, 6541 denominator= 866 numerators:, 2165, 4763, 7361 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 906 numerators:, 2265 denominator= 917 numerators:, 3275 denominator= 946 numerators:, 2365 denominator= 986 numerators:, 2465 ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 106 numerators:, 6625 denominator= 124 numerators:, 5425 denominator= 186 numerators:, 11625 denominator= 217 numerators:, 775, 7750, 14725 denominator= 248 numerators:, 3875, 10850, 17825 denominator= 266 numerators:, 665, 4655, 8645, 12635, 16625, 20615, 24605 denominator= 284 numerators:, 12425 denominator= 346 numerators:, 21625 denominator= 357 numerators:, 12750 denominator= 408 numerators:, 17850 denominator= 426 numerators:, 26625 denominator= 427 numerators:, 9760, 20740, 31720 denominator= 488 numerators:, 15860, 37820 denominator= 497 numerators:, 1775, 17750, 33725 denominator= 506 numerators:, 31625 denominator= 568 numerators:, 8875, 24850, 40825 denominator= 586 numerators:, 36625 denominator= 604 numerators:, 26425 denominator= 622 numerators:, 20215, 48205 denominator= 637 numerators:, 22750 denominator= 728 numerators:, 31850 denominator= 746 numerators:, 46625 denominator= 764 numerators:, 33425 denominator= 826 numerators:, 51625 denominator= 844 numerators:, 27430, 65410 denominator= 906 numerators:, 56625 denominator= 917 numerators:, 32750 denominator= 924 numerators:, 40425 denominator= 986 numerators:, 61625 ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 110 numerators:, 11 denominator= 120 numerators:, 12 denominator= 121 numerators:, 22 denominator= 130 numerators:, 13 denominator= 132 numerators:, 33 denominator= 140 numerators:, 14 denominator= 143 numerators:, 44 denominator= 150 numerators:, 15 denominator= 154 numerators:, 55 denominator= 160 numerators:, 16 denominator= 165 numerators:, 66 denominator= 170 numerators:, 17 denominator= 176 numerators:, 77 denominator= 180 numerators:, 18 denominator= 187 numerators:, 88 denominator= 190 numerators:, 19 denominator= 195 numerators:, 39 denominator= 196 numerators:, 49 denominator= 198 numerators:, 99 denominator= 210 numerators:, 21 denominator= 220 numerators:, 22 denominator= 230 numerators:, 23 denominator= 231 numerators:, 33 denominator= 240 numerators:, 24 denominator= 242 numerators:, 44 denominator= 250 numerators:, 25 denominator= 253 numerators:, 55 denominator= 260 numerators:, 26 denominator= 264 numerators:, 66 denominator= 265 numerators:, 106 denominator= 270 numerators:, 27 denominator= 275 numerators:, 77 denominator= 280 numerators:, 28 denominator= 286 numerators:, 88 denominator= 290 numerators:, 29 denominator= 294 numerators:, 49 denominator= 295 numerators:, 59 denominator= 297 numerators:, 99 denominator= 298 numerators:, 149 denominator= 310 numerators:, 31 denominator= 320 numerators:, 32 denominator= 330 numerators:, 33 denominator= 332 numerators:, 83 denominator= 340 numerators:, 34 denominator= 341 numerators:, 44 denominator= 350 numerators:, 35 denominator= 352 numerators:, 55 denominator= 360 numerators:, 36 denominator= 363 numerators:, 66 denominator= 365 numerators:, 146 denominator= 370 numerators:, 37 denominator= 374 numerators:, 77 denominator= 380 numerators:, 38 denominator= 385 numerators:, 88 denominator= 390 numerators:, 39 denominator= 392 numerators:, 49 denominator= 395 numerators:, 79 denominator= 396 numerators:, 99 denominator= 398 numerators:, 199 denominator= 410 numerators:, 41 denominator= 420 numerators:, 42 denominator= 430 numerators:, 43 denominator= 440 numerators:, 44 denominator= 450 numerators:, 45 denominator= 451 numerators:, 55 denominator= 460 numerators:, 46 denominator= 462 numerators:, 66 denominator= 464 numerators:, 116 denominator= 465 numerators:, 186 denominator= 470 numerators:, 47 denominator= 473 numerators:, 77 denominator= 480 numerators:, 48 denominator= 484 numerators:, 88 denominator= 490 numerators:, 49 denominator= 495 numerators:, 99 denominator= 498 numerators:, 249 denominator= 510 numerators:, 51 denominator= 520 numerators:, 52 denominator= 530 numerators:, 53 denominator= 532 numerators:, 133 denominator= 540 numerators:, 54 denominator= 550 numerators:, 55 denominator= 560 numerators:, 56 denominator= 561 numerators:, 66 denominator= 565 numerators:, 226 denominator= 570 numerators:, 57 denominator= 572 numerators:, 77 denominator= 580 numerators:, 58 denominator= 583 numerators:, 88 denominator= 590 numerators:, 59 denominator= 594 numerators:, 99 denominator= 595 numerators:, 119 denominator= 596 numerators:, 149 denominator= 597 numerators:, 199 denominator= 598 numerators:, 299 denominator= 610 numerators:, 61 denominator= 620 numerators:, 62 denominator= 630 numerators:, 63 denominator= 640 numerators:, 64 denominator= 650 numerators:, 65 denominator= 660 numerators:, 66 denominator= 664 numerators:, 166 denominator= 665 numerators:, 266 denominator= 670 numerators:, 67 denominator= 671 numerators:, 77 denominator= 680 numerators:, 68 denominator= 682 numerators:, 88 denominator= 690 numerators:, 69 denominator= 693 numerators:, 99 denominator= 695 numerators:, 139 denominator= 698 numerators:, 349 denominator= 710 numerators:, 71 denominator= 720 numerators:, 72 denominator= 730 numerators:, 73 denominator= 732 numerators:, 183 denominator= 740 numerators:, 74 denominator= 750 numerators:, 75 denominator= 760 numerators:, 76 denominator= 765 numerators:, 306 denominator= 770 numerators:, 77 denominator= 775 numerators:, 217 denominator= 780 numerators:, 78 denominator= 781 numerators:, 88 denominator= 790 numerators:, 79 denominator= 792 numerators:, 99 denominator= 795 numerators:, 159 denominator= 796 numerators:, 199 denominator= 798 numerators:, 399 denominator= 810 numerators:, 81 denominator= 820 numerators:, 82 denominator= 830 numerators:, 83 denominator= 840 numerators:, 84 denominator= 850 numerators:, 85 denominator= 854 numerators:, 305 denominator= 860 numerators:, 86 denominator= 864 numerators:, 216 denominator= 865 numerators:, 346 denominator= 870 numerators:, 87 denominator= 880 numerators:, 88 denominator= 890 numerators:, 89 denominator= 891 numerators:, 99 denominator= 894 numerators:, 149 denominator= 895 numerators:, 179 denominator= 897 numerators:, 299 denominator= 898 numerators:, 449 denominator= 910 numerators:, 91 denominator= 920 numerators:, 92 denominator= 930 numerators:, 93 denominator= 931 numerators:, 133 denominator= 932 numerators:, 233 denominator= 940 numerators:, 94 denominator= 950 numerators:, 95 denominator= 960 numerators:, 96 denominator= 965 numerators:, 386 denominator= 970 numerators:, 97 denominator= 976 numerators:, 427 denominator= 980 numerators:, 98 denominator= 990 numerators:, 99 denominator= 995 numerators:, 199 denominator= 996 numerators:, 249 denominator= 998 numerators:, 499 ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 160 numerators:, 64 denominator= 190 numerators:, 95 denominator= 192 numerators:, 96 denominator= 194 numerators:, 97, 291 denominator= 196 numerators:, 98, 294, 490 denominator= 222 numerators:, 1221 denominator= 244 numerators:, 1342 denominator= 260 numerators:, 65 denominator= 266 numerators:, 665, 1463, 2261 denominator= 288 numerators:, 1584 denominator= 291 numerators:, 97, 194 denominator= 294 numerators:, 98, 196, 392, 490 denominator= 332 numerators:, 830 denominator= 390 numerators:, 195 denominator= 392 numerators:, 98, 196, 294, 490 denominator= 394 numerators:, 197, 591 denominator= 398 numerators:, 199, 597, 995, 1393, 1791 denominator= 422 numerators:, 2321 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 464 numerators:, 1160 denominator= 466 numerators:, 1165, 2563, 3961 denominator= 488 numerators:, 1586, 2684, 3782 denominator= 490 numerators:, 98, 196, 294, 392 denominator= 532 numerators:, 133, 931, 1330 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 576 numerators:, 1872 denominator= 590 numerators:, 295 denominator= 591 numerators:, 197, 394 denominator= 592 numerators:, 296 denominator= 596 numerators:, 298, 894, 1490 denominator= 597 numerators:, 199, 398, 796, 995, 1393, 1592, 1990 denominator= 598 numerators:, 299, 897, 1495, 2093, 2691 denominator= 622 numerators:, 3421 denominator= 644 numerators:, 3542 denominator= 664 numerators:, 166, 1162, 1660 denominator= 665 numerators:, 266, 1064, 1463, 1862, 2261 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 688 numerators:, 3784 denominator= 732 numerators:, 1830 denominator= 775 numerators:, 2170 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 790 numerators:, 395 denominator= 794 numerators:, 397, 1191 denominator= 796 numerators:, 199, 398, 597, 995, 1194, 1393, 1791, 1990 denominator= 798 numerators:, 399, 1197, 1995, 2793, 3591 denominator= 822 numerators:, 4521 denominator= 830 numerators:, 332 denominator= 844 numerators:, 2743, 4642, 6541 denominator= 854 numerators:, 1952, 3050 denominator= 864 numerators:, 2160 denominator= 866 numerators:, 2165, 4763, 7361 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 894 numerators:, 298, 596, 1192, 1490 denominator= 897 numerators:, 299, 598, 1196, 1495, 2093, 2392, 2990 denominator= 931 numerators:, 133, 532, 1330 denominator= 932 numerators:, 233, 1631, 2330 denominator= 976 numerators:, 2074, 3172, 4270 denominator= 992 numerators:, 496 denominator= 994 numerators:, 497, 1491 denominator= 995 numerators:, 199, 398, 597, 796, 1194, 1393, 1592, 1791 denominator= 996 numerators:, 498, 1494, 2490 denominator= 998 numerators:, 499, 1497, 2495, 3493, 4491 ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 121 numerators:, 220, 2200 denominator= 130 numerators:, 325 denominator= 132 numerators:, 330, 2310 denominator= 143 numerators:, 440, 2420, 3410, 4400 denominator= 154 numerators:, 550, 2530, 3520, 4510, 5500 denominator= 176 numerators:, 770, 2750, 3740, 4730, 5720, 6710, 7700 denominator= 187 numerators:, 880, 2860, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 220 numerators:, 1210 denominator= 231 numerators:, 330, 1320, 3300 denominator= 242 numerators:, 440, 1430, 3410, 4400 denominator= 253 numerators:, 550, 1540, 3520, 4510, 5500 denominator= 260 numerators:, 650, 1625 denominator= 262 numerators:, 655 denominator= 264 numerators:, 660, 1650, 3630, 4620, 5610 denominator= 266 numerators:, 665, 4655, 8645, 12635, 16625, 20615, 24605 denominator= 270 numerators:, 756, 1728 denominator= 275 numerators:, 770, 1760, 3740, 4730, 5720, 6710 denominator= 286 numerators:, 880, 1870, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 291 numerators:, 970, 1940 denominator= 294 numerators:, 980, 1960, 3920, 4900 denominator= 297 numerators:, 990, 1980, 3960, 4950, 6930, 7920, 9900 denominator= 341 numerators:, 440, 1430, 2420, 4400 denominator= 352 numerators:, 550, 1540, 2530, 4510, 5500 denominator= 354 numerators:, 11505 denominator= 363 numerators:, 660, 1650, 2640, 4620, 5610, 6600 denominator= 374 numerators:, 770, 1760, 2750, 4730, 5720, 6710, 7700 denominator= 385 numerators:, 880, 1870, 2860, 4840, 5830, 6820, 7810, 8800 denominator= 390 numerators:, 975, 2925 denominator= 392 numerators:, 980, 2940, 4900 denominator= 394 numerators:, 985, 2955, 4925 denominator= 396 numerators:, 990, 2970, 4950, 6930, 8910 denominator= 398 numerators:, 995, 2985, 4975, 6965, 8955, 10945, 12935, 14925, 16915, 18905 denominator= 440 numerators:, 1430, 2420, 3410 denominator= 442 numerators:, 2431, 6409 denominator= 451 numerators:, 550, 1540, 2530, 3520, 5500 denominator= 462 numerators:, 660, 1650, 2640, 3630, 5610, 6600 denominator= 473 numerators:, 770, 1760, 2750, 3740, 5720, 6710, 7700 denominator= 484 numerators:, 880, 1870, 2860, 3850, 5830, 6820, 7810, 8800 denominator= 488 numerators:, 15860, 37820 denominator= 530 numerators:, 1325 denominator= 532 numerators:, 1330, 3325, 7315, 9310, 11305 denominator= 550 numerators:, 1540, 2530, 3520, 4510 denominator= 561 numerators:, 660, 1650, 2640, 3630, 4620, 6600 denominator= 572 numerators:, 770, 1760, 2750, 3740, 4730, 6710, 7700 denominator= 576 numerators:, 18720 denominator= 583 numerators:, 880, 1870, 2860, 3850, 4840, 6820, 7810, 8800 denominator= 591 numerators:, 985, 1970, 3940, 4925 denominator= 594 numerators:, 990, 1980, 3960, 4950, 6930, 7920, 9900 denominator= 597 numerators:, 995, 1990, 3980, 4975, 6965, 7960, 9950, 10945, 12935, 13930, 15920, 16915, 18905, 19900 denominator= 622 numerators:, 20215, 48205 denominator= 660 numerators:, 1650, 3630, 5610 denominator= 662 numerators:, 1655, 3641, 5627, 7613 denominator= 664 numerators:, 1660, 3652, 5644, 7636, 9628, 11620, 13612, 15604 denominator= 671 numerators:, 770, 1760, 2750, 3740, 4730, 5720, 7700 denominator= 682 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 7810, 8800 denominator= 693 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 7920, 8910, 9900 denominator= 754 numerators:, 24505 denominator= 770 numerators:, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 781 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 6820, 8800 denominator= 790 numerators:, 1975, 5925 denominator= 792 numerators:, 990, 1980, 2970, 4950, 5940, 6930, 8910, 9900 denominator= 794 numerators:, 1985, 5955, 9925 denominator= 796 numerators:, 995, 1990, 2985, 4975, 5970, 6965, 8955, 9950, 10945, 12935, 13930, 14925, 16915, 17910, 18905 denominator= 798 numerators:, 1995, 5985, 9975, 13965, 17955, 21945, 25935, 29925, 33915, 37905 denominator= 830 numerators:, 332, 1328, 2324, 4316, 5312, 6308, 7304 denominator= 844 numerators:, 27430, 65410 denominator= 854 numerators:, 19520, 30500 denominator= 880 numerators:, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 882 numerators:, 4851 denominator= 884 numerators:, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 886 numerators:, 4873, 12847, 20821 denominator= 891 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 9900 denominator= 894 numerators:, 2980, 5960, 11920, 14900 denominator= 897 numerators:, 2990, 5980, 11960, 14950, 20930, 23920, 29900 denominator= 930 numerators:, 2325 denominator= 931 numerators:, 1330, 3325, 5320, 7315, 11305, 13300 denominator= 932 numerators:, 2330, 16310 denominator= 976 numerators:, 20740, 31720, 42700 ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 110 numerators:, 11 denominator= 220 numerators:, 22 denominator= 325 numerators:, 13 denominator= 330 numerators:, 33 denominator= 332 numerators:, 83 denominator= 440 numerators:, 44 denominator= 550 numerators:, 55 denominator= 640 numerators:, 16 denominator= 650 numerators:, 26 denominator= 660 numerators:, 66 denominator= 664 numerators:, 166 denominator= 665 numerators:, 266 denominator= 756 numerators:, 27 denominator= 770 numerators:, 77 denominator= 775 numerators:, 217 denominator= 880 numerators:, 88 denominator= 950 numerators:, 19 denominator= 975 numerators:, 39 denominator= 980 numerators:, 49 denominator= 990 numerators:, 99 denominator= 995 numerators:, 199 denominator= 996 numerators:, 249 denominator= 998 numerators:, 499 ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 120 numerators:, 12 denominator= 130 numerators:, 13 denominator= 140 numerators:, 14 denominator= 150 numerators:, 15 denominator= 160 numerators:, 16 denominator= 170 numerators:, 17 denominator= 180 numerators:, 18 denominator= 190 numerators:, 19 denominator= 210 numerators:, 21 denominator= 222 numerators:, 1221 denominator= 240 numerators:, 24 denominator= 260 numerators:, 26 denominator= 280 numerators:, 28 denominator= 310 numerators:, 31 denominator= 320 numerators:, 32 denominator= 325 numerators:, 130 denominator= 332 numerators:, 830 denominator= 360 numerators:, 36 denominator= 370 numerators:, 37 denominator= 380 numerators:, 38 denominator= 390 numerators:, 39 denominator= 410 numerators:, 41 denominator= 420 numerators:, 42 denominator= 430 numerators:, 43 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 510 numerators:, 51 denominator= 520 numerators:, 52 denominator= 530 numerators:, 53 denominator= 540 numerators:, 54 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 610 numerators:, 61 denominator= 620 numerators:, 62 denominator= 630 numerators:, 63 denominator= 640 numerators:, 64, 160 denominator= 644 numerators:, 161 denominator= 648 numerators:, 162 denominator= 650 numerators:, 65, 260 denominator= 652 numerators:, 163 denominator= 655 numerators:, 262 denominator= 656 numerators:, 164 denominator= 664 numerators:, 166, 1162, 1660 denominator= 665 numerators:, 266, 1064, 1463, 1862, 2261 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 710 numerators:, 71 denominator= 720 numerators:, 72 denominator= 730 numerators:, 73 denominator= 740 numerators:, 74 denominator= 750 numerators:, 75 denominator= 756 numerators:, 270 denominator= 760 numerators:, 76 denominator= 775 numerators:, 2170 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 810 numerators:, 81 denominator= 820 numerators:, 82 denominator= 830 numerators:, 83 denominator= 840 numerators:, 84 denominator= 850 numerators:, 85 denominator= 860 numerators:, 86 denominator= 870 numerators:, 87 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 910 numerators:, 91 denominator= 920 numerators:, 92 denominator= 930 numerators:, 93 denominator= 940 numerators:, 94 denominator= 950 numerators:, 95, 190 denominator= 955 numerators:, 191 denominator= 960 numerators:, 96, 192 denominator= 965 numerators:, 193 denominator= 970 numerators:, 97, 194, 291 denominator= 975 numerators:, 195, 390 denominator= 980 numerators:, 98, 196, 294, 392, 490 denominator= 982 numerators:, 491 denominator= 984 numerators:, 492 denominator= 985 numerators:, 197, 394, 591 denominator= 986 numerators:, 493 denominator= 988 numerators:, 494 denominator= 992 numerators:, 496 denominator= 994 numerators:, 497, 1491 denominator= 995 numerators:, 199, 398, 597, 796, 1194, 1393, 1592, 1791 denominator= 996 numerators:, 498, 1494, 2490 denominator= 998 numerators:, 499, 1497, 2495, 3493, 4491 ------------------------------------------------------------------------- Section 9 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 220 numerators:, 1210 denominator= 432 numerators:, 1404 denominator= 436 numerators:, 1417 denominator= 438 numerators:, 2409 denominator= 440 numerators:, 1430, 2420, 3410 denominator= 442 numerators:, 2431, 6409 denominator= 540 numerators:, 1512 denominator= 545 numerators:, 1526, 2507 denominator= 550 numerators:, 1540, 2530, 3520, 4510 denominator= 640 numerators:, 1600 denominator= 642 numerators:, 1605 denominator= 644 numerators:, 1610 denominator= 646 numerators:, 1615 denominator= 648 numerators:, 1620 denominator= 650 numerators:, 1625 denominator= 652 numerators:, 1630 denominator= 654 numerators:, 1635 denominator= 656 numerators:, 1640, 3608 denominator= 658 numerators:, 1645, 3619 denominator= 660 numerators:, 1650, 3630, 5610 denominator= 662 numerators:, 1655, 3641, 5627, 7613 denominator= 664 numerators:, 1660, 3652, 5644, 7636, 9628, 11620, 13612, 15604 denominator= 749 numerators:, 1712 denominator= 756 numerators:, 1728, 2700 denominator= 763 numerators:, 1744, 2725, 3706 denominator= 770 numerators:, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 848 numerators:, 1802 denominator= 856 numerators:, 1819 denominator= 864 numerators:, 1836, 2808 denominator= 868 numerators:, 2821 denominator= 872 numerators:, 1853, 2834, 3815 denominator= 874 numerators:, 4807 denominator= 876 numerators:, 2847, 4818 denominator= 878 numerators:, 4829 denominator= 880 numerators:, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 882 numerators:, 4851 denominator= 884 numerators:, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 886 numerators:, 4873, 12847, 20821 ------------------------------------------------------------------------- This ends this book that took, 39.047, seconds to generate. ---------------------------------------------- Base , 11 Lots and Lots of Anomalous Cancellations in base, 11 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 11, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [8, 4, 3] [8, 3] --------- = ------ [2, 4, 4] [2, 4] [1, 9, 4, 1] [1, 9, 1] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [9, 8, 6] [9, 6] --------- = ------ [2, 8, 8] [2, 8] [2, 1, 8, 2] [2, 1, 2] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [9, 6, 5] [9, 5] --------- = ------ [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [3, 0, 6, 1] [3, 0, 1] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 8] [10, 8, 7] [10, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 0, 8, 5] [2, 0, 5] ------------ = --------- [4, 8, 8] [4, 8] [3, 1, 8, 3] [3, 1, 3] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [4, 2, 8, 1] [4, 2, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [2, 0, 4, 3] [2, 0, 3] ------------ = --------- [6, 4, 4] [6, 4] [4, 10, 4, 1] [4, 10, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [2, 1, 8, 6] [2, 1, 6] ------------ = --------- [6, 8, 8] [6, 8] [5, 2, 8, 2] [5, 2, 2] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 3, 6, 5] [2, 3, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [8, 1, 6, 1] [8, 1, 1] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 4, 4] [3, 3, 4, 3] [3, 3, 3] ------------ = --------- [10, 4, 4] [10, 4] [8, 0, 4, 1] [8, 0, 1] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 8, 8] [3, 4, 8, 6] [3, 4, 6] ------------ = --------- [10, 8, 8] [10, 8] [8, 3, 8, 2] [8, 3, 2] ------------ = --------- [10, 8, 8] [10, 8] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [8, 4, 3, 0] [8, 3, 0] ------------ = --------- [2, 4, 4] [2, 4] [1, 9, 4, 1, 0] [1, 9, 1, 0] --------------- = ------------ [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [9, 8, 6, 0] [9, 6, 0] ------------ = --------- [2, 8, 8] [2, 8] [2, 1, 8, 2, 0] [2, 1, 2, 0] --------------- = ------------ [2, 8, 8] [2, 8] denominator=, [3, 6, 6] [9, 6, 5, 0] [9, 5, 0] ------------ = --------- [3, 6, 6] [3, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] [3, 0, 6, 1, 0] [3, 0, 1, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [4, 8, 8] [10, 8, 7, 0] [10, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [2, 0, 8, 5, 0] [2, 0, 5, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 1, 8, 3, 0] [3, 1, 3, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 2, 8, 1, 0] [4, 2, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [2, 0, 4, 3, 0] [2, 0, 3, 0] --------------- = ------------ [6, 4, 4] [6, 4] [4, 10, 4, 1, 0] [4, 10, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 8, 8] [2, 1, 8, 6, 0] [2, 1, 6, 0] --------------- = ------------ [6, 8, 8] [6, 8] [5, 2, 8, 2, 0] [5, 2, 2, 0] --------------- = ------------ [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [9, 3, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 3, 6, 5, 0] [2, 3, 5, 0] --------------- = ------------ [9, 6, 6] [9, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] [8, 1, 6, 1, 0] [8, 1, 1, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [10, 4, 4] [3, 3, 4, 3, 0] [3, 3, 3, 0] --------------- = ------------ [10, 4, 4] [10, 4] [8, 0, 4, 1, 0] [8, 0, 1, 0] --------------- = ------------ [10, 4, 4] [10, 4] denominator=, [10, 8, 8] [3, 4, 8, 6, 0] [3, 4, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [8, 3, 8, 2, 0] [8, 3, 2, 0] --------------- = ------------ [10, 8, 8] [10, 8] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 10, 9] [1, 10, 10] [1, 10] ----------- = ------- [3, 10, 9] [3, 9] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [4, 5, 4] [4, 4] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 10, 8] [1, 10, 10] [1, 10] ----------- = ------- [5, 10, 8] [5, 8] denominator=, [5, 10, 9] [2, 10, 10] [2, 10] ----------- = ------- [5, 10, 9] [5, 9] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [7, 2, 1] [7, 1] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [7, 5, 3] [7, 3] denominator=, [7, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [7, 5, 4] [7, 4] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 10, 7] [1, 10, 10] [1, 10] ----------- = ------- [7, 10, 7] [7, 7] denominator=, [7, 10, 9] [3, 10, 10] [3, 10] ----------- = ------- [7, 10, 9] [7, 9] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [8, 4, 2] [8, 2] denominator=, [8, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [8, 4, 3] [8, 3] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [8, 10, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 6, 3] [1, 6, 6] [1, 6] --------- = ------ [9, 6, 3] [9, 3] denominator=, [9, 6, 5] [3, 6, 6] [3, 6] --------- = ------ [9, 6, 5] [9, 5] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [9, 8, 6] [9, 6] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 10, 6] [1, 10, 10] [1, 10] ----------- = ------- [9, 10, 6] [9, 6] denominator=, [9, 10, 9] [4, 10, 10] [4, 10] ----------- = ------- [9, 10, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 5, 2] [1, 5, 5] [1, 5] ---------- = ------- [10, 5, 2] [10, 2] denominator=, [10, 5, 4] [3, 5, 5] [3, 5] ---------- = ------- [10, 5, 4] [10, 4] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [10, 8, 4] [10, 4] denominator=, [10, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [10, 8, 7] [10, 7] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 5, 1] [5, 4] [4] --------- = ------ [1, 5, 1] [1, 1] denominator=, [1, 10, 1] [10, 6] [6] ---------- = ------ [1, 10, 1] [1, 1] denominator=, [1, 10, 3] [10, 7] [7] ---------- = ------ [1, 10, 3] [1, 3] denominator=, [1, 10, 5] [10, 8] [8] ---------- = ------ [1, 10, 5] [1, 5] [2, 10, 2] [2, 2] ---------- = ------ [1, 10, 5] [1, 5] denominator=, [1, 10, 7] [10, 9] [9] ---------- = ------ [1, 10, 7] [1, 7] [2, 10, 5] [2, 5] ---------- = ------ [1, 10, 7] [1, 7] [4, 10, 1] [4, 1] ---------- = ------ [1, 10, 7] [1, 7] denominator=, [2, 4, 4] [8, 4, 3] [8, 3] --------- = ------ [2, 4, 4] [2, 4] [1, 9, 4, 1] [1, 9, 1] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [9, 8, 6] [9, 6] --------- = ------ [2, 8, 8] [2, 8] [2, 1, 8, 2] [2, 1, 2] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 2] [10, 8] [8] ---------- = ------ [2, 10, 2] [2, 2] [1, 10, 5] [1, 5] ---------- = ------ [2, 10, 2] [2, 2] denominator=, [2, 10, 5] [10, 9] [9] ---------- = ------ [2, 10, 5] [2, 5] [1, 10, 7] [1, 7] ---------- = ------ [2, 10, 5] [2, 5] [3, 10, 3] [3, 3] ---------- = ------ [2, 10, 5] [2, 5] [4, 10, 1] [4, 1] ---------- = ------ [2, 10, 5] [2, 5] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 5] [1, 1, 6, 1] [1, 1, 1] ------------ = --------- [3, 6, 5] [3, 5] denominator=, [3, 6, 6] [9, 6, 5] [9, 5] --------- = ------ [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [3, 0, 6, 1] [3, 0, 1] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 10, 1] [1, 10, 6] [1, 6] ---------- = ------ [3, 10, 1] [3, 1] denominator=, [3, 10, 3] [10, 9] [9] ---------- = ------ [3, 10, 3] [3, 3] [1, 10, 7] [1, 7] ---------- = ------ [3, 10, 3] [3, 3] [2, 10, 5] [2, 5] ---------- = ------ [3, 10, 3] [3, 3] [4, 10, 1] [4, 1] ---------- = ------ [3, 10, 3] [3, 3] denominator=, [3, 10, 5] [1, 10, 8] [1, 8] ---------- = ------ [3, 10, 5] [3, 5] [5, 10, 2] [5, 2] ---------- = ------ [3, 10, 5] [3, 5] denominator=, [3, 10, 9] [1, 10, 10] [1, 10] ----------- = ------- [3, 10, 9] [3, 9] [5, 10, 8] [5, 8] ---------- = ------ [3, 10, 9] [3, 9] [9, 10, 6] [9, 6] ---------- = ------ [3, 10, 9] [3, 9] [1, 2, 10, 4] [1, 2, 4] ------------- = --------- [3, 10, 9] [3, 9] [1, 6, 10, 2] [1, 6, 2] ------------- = --------- [3, 10, 9] [3, 9] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [3, 10, 9] [3, 9] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [4, 5, 4] [4, 4] [7, 5, 3] [7, 3] --------- = ------ [4, 5, 4] [4, 4] [10, 5, 2] [10, 2] ---------- = ------- [4, 5, 4] [4, 4] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [4, 5, 4] [4, 4] denominator=, [4, 8, 7] [1, 1, 8, 4] [1, 1, 4] ------------ = --------- [4, 8, 7] [4, 7] [1, 9, 8, 1] [1, 9, 1] ------------ = --------- [4, 8, 7] [4, 7] denominator=, [4, 8, 8] [10, 8, 7] [10, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 0, 8, 5] [2, 0, 5] ------------ = --------- [4, 8, 8] [4, 8] [3, 1, 8, 3] [3, 1, 3] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [4, 2, 8, 1] [4, 2, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 1] [10, 9] [9] ---------- = ------ [4, 10, 1] [4, 1] [1, 10, 7] [1, 7] ---------- = ------ [4, 10, 1] [4, 1] [2, 10, 5] [2, 5] ---------- = ------ [4, 10, 1] [4, 1] [3, 10, 3] [3, 3] ---------- = ------ [4, 10, 1] [4, 1] denominator=, [5, 6, 5] [1, 1, 6, 3] [1, 1, 3] ------------ = --------- [5, 6, 5] [5, 5] [1, 8, 6, 1] [1, 8, 1] ------------ = --------- [5, 6, 5] [5, 5] denominator=, [5, 10, 1] [2, 10, 6] [2, 6] ---------- = ------ [5, 10, 1] [5, 1] denominator=, [5, 10, 2] [1, 10, 8] [1, 8] ---------- = ------ [5, 10, 2] [5, 2] [3, 10, 5] [3, 5] ---------- = ------ [5, 10, 2] [5, 2] denominator=, [5, 10, 3] [2, 10, 7] [2, 7] ---------- = ------ [5, 10, 3] [5, 3] denominator=, [5, 10, 7] [2, 10, 9] [2, 9] ---------- = ------ [5, 10, 7] [5, 7] [8, 10, 5] [8, 5] ---------- = ------ [5, 10, 7] [5, 7] [1, 3, 10, 1] [1, 3, 1] ------------- = --------- [5, 10, 7] [5, 7] denominator=, [5, 10, 8] [1, 10, 10] [1, 10] ----------- = ------- [5, 10, 8] [5, 8] [3, 10, 9] [3, 9] ---------- = ------ [5, 10, 8] [5, 8] [7, 10, 7] [7, 7] ---------- = ------ [5, 10, 8] [5, 8] [9, 10, 6] [9, 6] ---------- = ------ [5, 10, 8] [5, 8] [1, 2, 10, 4] [1, 2, 4] ------------- = --------- [5, 10, 8] [5, 8] [1, 4, 10, 3] [1, 4, 3] ------------- = --------- [5, 10, 8] [5, 8] [1, 8, 10, 1] [1, 8, 1] ------------- = --------- [5, 10, 8] [5, 8] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [5, 10, 8] [5, 8] denominator=, [5, 10, 9] [2, 10, 10] [2, 10] ----------- = ------- [5, 10, 9] [5, 9] [8, 10, 8] [8, 8] ---------- = ------ [5, 10, 9] [5, 9] [1, 3, 10, 6] [1, 3, 6] ------------- = --------- [5, 10, 9] [5, 9] [1, 9, 10, 4] [1, 9, 4] ------------- = --------- [5, 10, 9] [5, 9] [2, 4, 10, 2] [2, 4, 2] ------------- = --------- [5, 10, 9] [5, 9] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [5, 10, 9] [5, 9] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [2, 0, 4, 3] [2, 0, 3] ------------ = --------- [6, 4, 4] [6, 4] [4, 10, 4, 1] [4, 10, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [2, 1, 8, 6] [2, 1, 6] ------------ = --------- [6, 8, 8] [6, 8] [5, 2, 8, 2] [5, 2, 2] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [7, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [7, 2, 1] [7, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [7, 2, 1] [7, 1] denominator=, [7, 5, 1] [2, 5, 4] [2, 4] --------- = ------ [7, 5, 1] [7, 1] denominator=, [7, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [7, 5, 3] [7, 3] [4, 5, 4] [4, 4] --------- = ------ [7, 5, 3] [7, 3] [10, 5, 2] [10, 2] ---------- = ------- [7, 5, 3] [7, 3] [1, 2, 5, 1] [1, 2, 1] ------------ = --------- [7, 5, 3] [7, 3] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [7, 5, 3] [7, 3] denominator=, [7, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [7, 5, 4] [7, 4] [1, 1, 5, 3] [1, 1, 3] ------------ = --------- [7, 5, 4] [7, 4] [1, 6, 5, 2] [1, 6, 2] ------------ = --------- [7, 5, 4] [7, 4] [2, 5, 5, 0] [2, 5, 0] ------------ = --------- [7, 5, 4] [7, 4] denominator=, [7, 6, 5] [2, 4, 6, 1] [2, 4, 1] ------------ = --------- [7, 6, 5] [7, 5] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 8, 7] [1, 9, 8, 4] [1, 9, 4] ------------ = --------- [7, 8, 7] [7, 7] [3, 0, 8, 1] [3, 0, 1] ------------ = --------- [7, 8, 7] [7, 7] denominator=, [7, 10, 1] [3, 10, 6] [3, 6] ---------- = ------ [7, 10, 1] [7, 1] denominator=, [7, 10, 5] [3, 10, 8] [3, 8] ---------- = ------ [7, 10, 5] [7, 5] [1, 0, 10, 2] [1, 0, 2] ------------- = --------- [7, 10, 5] [7, 5] denominator=, [7, 10, 7] [1, 10, 10] [1, 10] ----------- = ------- [7, 10, 7] [7, 7] [3, 10, 9] [3, 9] ---------- = ------ [7, 10, 7] [7, 7] [5, 10, 8] [5, 8] ---------- = ------ [7, 10, 7] [7, 7] [9, 10, 6] [9, 6] ---------- = ------ [7, 10, 7] [7, 7] [1, 0, 10, 5] [1, 0, 5] ------------- = --------- [7, 10, 7] [7, 7] [1, 2, 10, 4] [1, 2, 4] ------------- = --------- [7, 10, 7] [7, 7] [1, 6, 10, 2] [1, 6, 2] ------------- = --------- [7, 10, 7] [7, 7] [1, 8, 10, 1] [1, 8, 1] ------------- = --------- [7, 10, 7] [7, 7] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [7, 10, 7] [7, 7] denominator=, [7, 10, 9] [3, 10, 10] [3, 10] ----------- = ------- [7, 10, 9] [7, 9] [1, 0, 10, 8] [1, 0, 8] ------------- = --------- [7, 10, 9] [7, 9] [1, 8, 10, 6] [1, 8, 6] ------------- = --------- [7, 10, 9] [7, 9] [2, 5, 10, 4] [2, 5, 4] ------------- = --------- [7, 10, 9] [7, 9] [3, 2, 10, 2] [3, 2, 2] ------------- = --------- [7, 10, 9] [7, 9] [3, 10, 10, 0] [3, 10, 0] -------------- = ---------- [7, 10, 9] [7, 9] denominator=, [8, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [8, 4, 2] [8, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [8, 4, 2] [8, 2] denominator=, [8, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [8, 4, 3] [8, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [8, 4, 3] [8, 3] [1, 9, 4, 1] [1, 9, 1] ------------ = --------- [8, 4, 3] [8, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [8, 4, 3] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 5] [2, 10, 9] [2, 9] ---------- = ------ [8, 10, 5] [8, 5] [5, 10, 7] [5, 7] ---------- = ------ [8, 10, 5] [8, 5] [1, 0, 10, 3] [1, 0, 3] ------------- = --------- [8, 10, 5] [8, 5] [1, 3, 10, 1] [1, 3, 1] ------------- = --------- [8, 10, 5] [8, 5] denominator=, [8, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [8, 10, 8] [8, 8] [5, 10, 9] [5, 9] ---------- = ------ [8, 10, 8] [8, 8] [1, 0, 10, 7] [1, 0, 7] ------------- = --------- [8, 10, 8] [8, 8] [1, 3, 10, 6] [1, 3, 6] ------------- = --------- [8, 10, 8] [8, 8] [1, 9, 10, 4] [1, 9, 4] ------------- = --------- [8, 10, 8] [8, 8] [2, 1, 10, 3] [2, 1, 3] ------------- = --------- [8, 10, 8] [8, 8] [2, 7, 10, 1] [2, 7, 1] ------------- = --------- [8, 10, 8] [8, 8] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [8, 10, 8] [8, 8] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 3] [1, 6, 6] [1, 6] --------- = ------ [9, 6, 3] [9, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [9, 6, 3] [9, 3] denominator=, [9, 6, 5] [3, 6, 6] [3, 6] --------- = ------ [9, 6, 5] [9, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [9, 6, 5] [9, 5] [1, 10, 6, 3] [1, 10, 3] ------------- = ---------- [9, 6, 5] [9, 5] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [9, 6, 5] [9, 5] [3, 0, 6, 1] [3, 0, 1] ------------ = --------- [9, 6, 5] [9, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [9, 6, 5] [9, 5] denominator=, [9, 6, 6] [2, 3, 6, 5] [2, 3, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [8, 1, 6, 1] [8, 1, 1] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 8, 6] [2, 8, 8] [2, 8] --------- = ------ [9, 8, 6] [9, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [9, 8, 6] [9, 6] [2, 1, 8, 2] [2, 1, 2] ------------ = --------- [9, 8, 6] [9, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [9, 8, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 3] [4, 10, 7] [4, 7] ---------- = ------ [9, 10, 3] [9, 3] denominator=, [9, 10, 5] [4, 10, 8] [4, 8] ---------- = ------ [9, 10, 5] [9, 5] [1, 3, 10, 2] [1, 3, 2] ------------- = --------- [9, 10, 5] [9, 5] denominator=, [9, 10, 6] [1, 10, 10] [1, 10] ----------- = ------- [9, 10, 6] [9, 6] [3, 10, 9] [3, 9] ---------- = ------ [9, 10, 6] [9, 6] [5, 10, 8] [5, 8] ---------- = ------ [9, 10, 6] [9, 6] [7, 10, 7] [7, 7] ---------- = ------ [9, 10, 6] [9, 6] [1, 0, 10, 5] [1, 0, 5] ------------- = --------- [9, 10, 6] [9, 6] [1, 2, 10, 4] [1, 2, 4] ------------- = --------- [9, 10, 6] [9, 6] [1, 4, 10, 3] [1, 4, 3] ------------- = --------- [9, 10, 6] [9, 6] [1, 6, 10, 2] [1, 6, 2] ------------- = --------- [9, 10, 6] [9, 6] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [9, 10, 6] [9, 6] denominator=, [9, 10, 7] [4, 10, 9] [4, 9] ---------- = ------ [9, 10, 7] [9, 7] [1, 3, 10, 5] [1, 3, 5] ------------- = --------- [9, 10, 7] [9, 7] [2, 2, 10, 1] [2, 2, 1] ------------- = --------- [9, 10, 7] [9, 7] denominator=, [9, 10, 9] [4, 10, 10] [4, 10] ----------- = ------- [9, 10, 9] [9, 9] [1, 3, 10, 8] [1, 3, 8] ------------- = --------- [9, 10, 9] [9, 9] [2, 2, 10, 6] [2, 2, 6] ------------- = --------- [9, 10, 9] [9, 9] [3, 1, 10, 4] [3, 1, 4] ------------- = --------- [9, 10, 9] [9, 9] [4, 0, 10, 2] [4, 0, 2] ------------- = --------- [9, 10, 9] [9, 9] [4, 10, 10, 0] [4, 10, 0] -------------- = ---------- [9, 10, 9] [9, 9] denominator=, [10, 4, 4] [3, 3, 4, 3] [3, 3, 3] ------------ = --------- [10, 4, 4] [10, 4] [8, 0, 4, 1] [8, 0, 1] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 1] [3, 5, 4] [3, 4] ---------- = ------- [10, 5, 1] [10, 1] denominator=, [10, 5, 2] [1, 5, 5] [1, 5] ---------- = ------- [10, 5, 2] [10, 2] [4, 5, 4] [4, 4] ---------- = ------- [10, 5, 2] [10, 2] [7, 5, 3] [7, 3] ---------- = ------- [10, 5, 2] [10, 2] [1, 2, 5, 1] [1, 2, 1] ------------ = --------- [10, 5, 2] [10, 2] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [10, 5, 2] [10, 2] denominator=, [10, 5, 4] [3, 5, 5] [3, 5] ---------- = ------- [10, 5, 4] [10, 4] [1, 6, 5, 3] [1, 6, 3] ------------ = --------- [10, 5, 4] [10, 4] [2, 2, 5, 2] [2, 2, 2] ------------ = --------- [10, 5, 4] [10, 4] [3, 5, 5, 0] [3, 5, 0] ------------ = --------- [10, 5, 4] [10, 4] denominator=, [10, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [10, 8, 4] [10, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [10, 8, 4] [10, 4] denominator=, [10, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [10, 8, 7] [10, 7] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [10, 8, 7] [10, 7] [2, 0, 8, 5] [2, 0, 5] ------------ = --------- [10, 8, 7] [10, 7] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [10, 8, 7] [10, 7] [3, 1, 8, 3] [3, 1, 3] ------------ = --------- [10, 8, 7] [10, 7] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [10, 8, 7] [10, 7] [4, 2, 8, 1] [4, 2, 1] ------------ = --------- [10, 8, 7] [10, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [10, 8, 7] [10, 7] denominator=, [10, 8, 8] [3, 4, 8, 6] [3, 4, 6] ------------ = --------- [10, 8, 8] [10, 8] [8, 3, 8, 2] [8, 3, 2] ------------ = --------- [10, 8, 8] [10, 8] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 1] [5, 4, 0] [4, 0] --------- = ------ [1, 5, 1] [1, 1] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 1] [10, 6, 0] [6, 0] ---------- = ------ [1, 10, 1] [1, 1] denominator=, [1, 10, 3] [10, 7, 0] [7, 0] ---------- = ------ [1, 10, 3] [1, 3] denominator=, [1, 10, 5] [10, 8, 0] [8, 0] ---------- = ------ [1, 10, 5] [1, 5] [2, 10, 2, 0] [2, 2, 0] ------------- = --------- [1, 10, 5] [1, 5] denominator=, [1, 10, 7] [10, 9, 0] [9, 0] ---------- = ------ [1, 10, 7] [1, 7] [2, 10, 5, 0] [2, 5, 0] ------------- = --------- [1, 10, 7] [1, 7] [4, 10, 1, 0] [4, 1, 0] ------------- = --------- [1, 10, 7] [1, 7] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 4, 4] [8, 4, 3, 0] [8, 3, 0] ------------ = --------- [2, 4, 4] [2, 4] [1, 9, 4, 1, 0] [1, 9, 1, 0] --------------- = ------------ [2, 4, 4] [2, 4] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 8, 8] [9, 8, 6, 0] [9, 6, 0] ------------ = --------- [2, 8, 8] [2, 8] [2, 1, 8, 2, 0] [2, 1, 2, 0] --------------- = ------------ [2, 8, 8] [2, 8] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 2] [10, 8, 0] [8, 0] ---------- = ------ [2, 10, 2] [2, 2] [1, 10, 5, 0] [1, 5, 0] ------------- = --------- [2, 10, 2] [2, 2] denominator=, [2, 10, 5] [10, 9, 0] [9, 0] ---------- = ------ [2, 10, 5] [2, 5] [1, 10, 7, 0] [1, 7, 0] ------------- = --------- [2, 10, 5] [2, 5] [3, 10, 3, 0] [3, 3, 0] ------------- = --------- [2, 10, 5] [2, 5] [4, 10, 1, 0] [4, 1, 0] ------------- = --------- [2, 10, 5] [2, 5] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [1, 1, 6, 1, 0] [1, 1, 1, 0] --------------- = ------------ [3, 6, 5] [3, 5] denominator=, [3, 6, 6] [9, 6, 5, 0] [9, 5, 0] ------------ = --------- [3, 6, 6] [3, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] [3, 0, 6, 1, 0] [3, 0, 1, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 1] [1, 10, 6, 0] [1, 6, 0] ------------- = --------- [3, 10, 1] [3, 1] denominator=, [3, 10, 3] [10, 9, 0] [9, 0] ---------- = ------ [3, 10, 3] [3, 3] [1, 10, 7, 0] [1, 7, 0] ------------- = --------- [3, 10, 3] [3, 3] [2, 10, 5, 0] [2, 5, 0] ------------- = --------- [3, 10, 3] [3, 3] [4, 10, 1, 0] [4, 1, 0] ------------- = --------- [3, 10, 3] [3, 3] denominator=, [3, 10, 5] [1, 10, 8, 0] [1, 8, 0] ------------- = --------- [3, 10, 5] [3, 5] [5, 10, 2, 0] [5, 2, 0] ------------- = --------- [3, 10, 5] [3, 5] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 10, 9] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [3, 10, 9] [3, 9] [5, 10, 8, 0] [5, 8, 0] ------------- = --------- [3, 10, 9] [3, 9] [9, 10, 6, 0] [9, 6, 0] ------------- = --------- [3, 10, 9] [3, 9] [1, 2, 10, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [3, 10, 9] [3, 9] [1, 6, 10, 2, 0] [1, 6, 2, 0] ---------------- = ------------ [3, 10, 9] [3, 9] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [3, 10, 9] [3, 9] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 7] [1, 3, 7] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 6] [3, 2, 6] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 5] [5, 1, 5] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 4] [7, 0, 4] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 5, 4] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [4, 5, 4] [4, 4] [7, 5, 3, 0] [7, 3, 0] ------------ = --------- [4, 5, 4] [4, 4] [10, 5, 2, 0] [10, 2, 0] ------------- = ---------- [4, 5, 4] [4, 4] [1, 5, 5, 0, 0] [1, 5, 0, 0] --------------- = ------------ [4, 5, 4] [4, 4] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [1, 1, 8, 4, 0] [1, 1, 4, 0] --------------- = ------------ [4, 8, 7] [4, 7] [1, 9, 8, 1, 0] [1, 9, 1, 0] --------------- = ------------ [4, 8, 7] [4, 7] denominator=, [4, 8, 8] [10, 8, 7, 0] [10, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [2, 0, 8, 5, 0] [2, 0, 5, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 1, 8, 3, 0] [3, 1, 3, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 2, 8, 1, 0] [4, 2, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 1] [10, 9, 0] [9, 0] ---------- = ------ [4, 10, 1] [4, 1] [1, 10, 7, 0] [1, 7, 0] ------------- = --------- [4, 10, 1] [4, 1] [2, 10, 5, 0] [2, 5, 0] ------------- = --------- [4, 10, 1] [4, 1] [3, 10, 3, 0] [3, 3, 0] ------------- = --------- [4, 10, 1] [4, 1] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 6, 5] [1, 1, 6, 3, 0] [1, 1, 3, 0] --------------- = ------------ [5, 6, 5] [5, 5] [1, 8, 6, 1, 0] [1, 8, 1, 0] --------------- = ------------ [5, 6, 5] [5, 5] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 1] [2, 10, 6, 0] [2, 6, 0] ------------- = --------- [5, 10, 1] [5, 1] denominator=, [5, 10, 2] [1, 10, 8, 0] [1, 8, 0] ------------- = --------- [5, 10, 2] [5, 2] [3, 10, 5, 0] [3, 5, 0] ------------- = --------- [5, 10, 2] [5, 2] denominator=, [5, 10, 3] [2, 10, 7, 0] [2, 7, 0] ------------- = --------- [5, 10, 3] [5, 3] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 7] [2, 10, 9, 0] [2, 9, 0] ------------- = --------- [5, 10, 7] [5, 7] [8, 10, 5, 0] [8, 5, 0] ------------- = --------- [5, 10, 7] [5, 7] [1, 3, 10, 1, 0] [1, 3, 1, 0] ---------------- = ------------ [5, 10, 7] [5, 7] denominator=, [5, 10, 8] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [5, 10, 8] [5, 8] [3, 10, 9, 0] [3, 9, 0] ------------- = --------- [5, 10, 8] [5, 8] [7, 10, 7, 0] [7, 7, 0] ------------- = --------- [5, 10, 8] [5, 8] [9, 10, 6, 0] [9, 6, 0] ------------- = --------- [5, 10, 8] [5, 8] [1, 2, 10, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [5, 10, 8] [5, 8] [1, 4, 10, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [5, 10, 8] [5, 8] [1, 8, 10, 1, 0] [1, 8, 1, 0] ---------------- = ------------ [5, 10, 8] [5, 8] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [5, 10, 8] [5, 8] denominator=, [5, 10, 9] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [5, 10, 9] [5, 9] [8, 10, 8, 0] [8, 8, 0] ------------- = --------- [5, 10, 9] [5, 9] [1, 3, 10, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [5, 10, 9] [5, 9] [1, 9, 10, 4, 0] [1, 9, 4, 0] ---------------- = ------------ [5, 10, 9] [5, 9] [2, 4, 10, 2, 0] [2, 4, 2, 0] ---------------- = ------------ [5, 10, 9] [5, 9] [2, 10, 10, 0, 0] [2, 10, 0, 0] ----------------- = ------------- [5, 10, 9] [5, 9] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [2, 0, 4, 3, 0] [2, 0, 3, 0] --------------- = ------------ [6, 4, 4] [6, 4] [4, 10, 4, 1, 0] [4, 10, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 8] [1, 5, 8] ------------ = --------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 6] [5, 3, 6] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 5] [7, 2, 5] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 10] [8, 1, 10] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 9] [10, 0, 9] ------------- = ---------- [6, 6, 3] [6, 3] [1, 0, 6, 0, 3] [1, 0, 0, 3] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 8, 8] [2, 1, 8, 6, 0] [2, 1, 6, 0] --------------- = ------------ [6, 8, 8] [6, 8] [5, 2, 8, 2, 0] [5, 2, 2, 0] --------------- = ------------ [6, 8, 8] [6, 8] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [7, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [7, 2, 1] [7, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [7, 2, 1] [7, 1] denominator=, [7, 5, 1] [2, 5, 4, 0] [2, 4, 0] ------------ = --------- [7, 5, 1] [7, 1] denominator=, [7, 5, 3] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [7, 5, 3] [7, 3] [4, 5, 4, 0] [4, 4, 0] ------------ = --------- [7, 5, 3] [7, 3] [10, 5, 2, 0] [10, 2, 0] ------------- = ---------- [7, 5, 3] [7, 3] [1, 2, 5, 1, 0] [1, 2, 1, 0] --------------- = ------------ [7, 5, 3] [7, 3] [1, 5, 5, 0, 0] [1, 5, 0, 0] --------------- = ------------ [7, 5, 3] [7, 3] denominator=, [7, 5, 4] [2, 5, 5, 0] [2, 5, 0] ------------ = --------- [7, 5, 4] [7, 4] [1, 1, 5, 3, 0] [1, 1, 3, 0] --------------- = ------------ [7, 5, 4] [7, 4] [1, 6, 5, 2, 0] [1, 6, 2, 0] --------------- = ------------ [7, 5, 4] [7, 4] [2, 5, 5, 0, 0] [2, 5, 0, 0] --------------- = ------------ [7, 5, 4] [7, 4] denominator=, [7, 6, 5] [2, 4, 6, 1, 0] [2, 4, 1, 0] --------------- = ------------ [7, 6, 5] [7, 5] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 8, 7] [1, 9, 8, 4, 0] [1, 9, 4, 0] --------------- = ------------ [7, 8, 7] [7, 7] [3, 0, 8, 1, 0] [3, 0, 1, 0] --------------- = ------------ [7, 8, 7] [7, 7] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 1] [3, 10, 6, 0] [3, 6, 0] ------------- = --------- [7, 10, 1] [7, 1] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 10, 5] [3, 10, 8, 0] [3, 8, 0] ------------- = --------- [7, 10, 5] [7, 5] [1, 0, 10, 2, 0] [1, 0, 2, 0] ---------------- = ------------ [7, 10, 5] [7, 5] denominator=, [7, 10, 7] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [7, 10, 7] [7, 7] [3, 10, 9, 0] [3, 9, 0] ------------- = --------- [7, 10, 7] [7, 7] [5, 10, 8, 0] [5, 8, 0] ------------- = --------- [7, 10, 7] [7, 7] [9, 10, 6, 0] [9, 6, 0] ------------- = --------- [7, 10, 7] [7, 7] [1, 0, 10, 5, 0] [1, 0, 5, 0] ---------------- = ------------ [7, 10, 7] [7, 7] [1, 2, 10, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [7, 10, 7] [7, 7] [1, 6, 10, 2, 0] [1, 6, 2, 0] ---------------- = ------------ [7, 10, 7] [7, 7] [1, 8, 10, 1, 0] [1, 8, 1, 0] ---------------- = ------------ [7, 10, 7] [7, 7] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [7, 10, 7] [7, 7] denominator=, [7, 10, 9] [3, 10, 10, 0] [3, 10, 0] -------------- = ---------- [7, 10, 9] [7, 9] [1, 0, 10, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [1, 8, 10, 6, 0] [1, 8, 6, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [2, 5, 10, 4, 0] [2, 5, 4, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [3, 2, 10, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [3, 10, 10, 0, 0] [3, 10, 0, 0] ----------------- = ------------- [7, 10, 9] [7, 9] denominator=, [8, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [8, 4, 2] [8, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [8, 4, 2] [8, 2] denominator=, [8, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [8, 4, 3] [8, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [8, 4, 3] [8, 3] [1, 9, 4, 1, 0] [1, 9, 1, 0] --------------- = ------------ [8, 4, 3] [8, 3] [2, 4, 4, 0, 0] [2, 4, 0, 0] --------------- = ------------ [8, 4, 3] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 7] [2, 6, 7] ------------ = --------- [8, 8, 2] [8, 2] [6, 8, 3, 6] [6, 3, 6] ------------ = --------- [8, 8, 2] [8, 2] [10, 8, 0, 5] [10, 0, 5] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 9] [1, 7, 9] ------------ = --------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 8] [3, 6, 8] ------------ = --------- [8, 8, 4] [8, 4] [5, 8, 5, 7] [5, 5, 7] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 6] [7, 4, 6] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 5] [9, 3, 5] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 10] [10, 2, 10] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 2, 4] [1, 0, 2, 4] --------------- = ------------ [8, 8, 4] [8, 4] [1, 2, 8, 1, 3] [1, 2, 1, 3] --------------- = ------------ [8, 8, 4] [8, 4] [1, 3, 8, 0, 8] [1, 3, 0, 8] --------------- = ------------ [8, 8, 4] [8, 4] [1, 4, 8, 0, 2] [1, 4, 0, 2] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 10] [2, 7, 10] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 7] [6, 6, 7] ------------ = --------- [8, 8, 6] [8, 6] [10, 8, 5, 4] [10, 5, 4] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 4, 1] [1, 3, 4, 1] --------------- = ------------ [8, 8, 6] [8, 6] [1, 7, 8, 2, 9] [1, 7, 2, 9] --------------- = ------------ [8, 8, 6] [8, 6] [2, 0, 8, 1, 6] [2, 0, 1, 6] --------------- = ------------ [8, 8, 6] [8, 6] [2, 4, 8, 0, 3] [2, 4, 0, 3] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 5] [2, 10, 9, 0] [2, 9, 0] ------------- = --------- [8, 10, 5] [8, 5] [5, 10, 7, 0] [5, 7, 0] ------------- = --------- [8, 10, 5] [8, 5] [1, 0, 10, 3, 0] [1, 0, 3, 0] ---------------- = ------------ [8, 10, 5] [8, 5] [1, 3, 10, 1, 0] [1, 3, 1, 0] ---------------- = ------------ [8, 10, 5] [8, 5] denominator=, [8, 10, 8] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [8, 10, 8] [8, 8] [5, 10, 9, 0] [5, 9, 0] ------------- = --------- [8, 10, 8] [8, 8] [1, 0, 10, 7, 0] [1, 0, 7, 0] ---------------- = ------------ [8, 10, 8] [8, 8] [1, 3, 10, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [8, 10, 8] [8, 8] [1, 9, 10, 4, 0] [1, 9, 4, 0] ---------------- = ------------ [8, 10, 8] [8, 8] [2, 1, 10, 3, 0] [2, 1, 3, 0] ---------------- = ------------ [8, 10, 8] [8, 8] [2, 7, 10, 1, 0] [2, 7, 1, 0] ---------------- = ------------ [8, 10, 8] [8, 8] [2, 10, 10, 0, 0] [2, 10, 0, 0] ----------------- = ------------- [8, 10, 8] [8, 8] denominator=, [9, 3, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] denominator=, [9, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [9, 6, 3] [9, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [9, 6, 3] [9, 3] denominator=, [9, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [9, 6, 5] [9, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [9, 6, 5] [9, 5] [1, 10, 6, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [9, 6, 5] [9, 5] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [9, 6, 5] [9, 5] [3, 0, 6, 1, 0] [3, 0, 1, 0] --------------- = ------------ [9, 6, 5] [9, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [9, 6, 5] [9, 5] denominator=, [9, 6, 6] [2, 3, 6, 5, 0] [2, 3, 5, 0] --------------- = ------------ [9, 6, 6] [9, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] [8, 1, 6, 1, 0] [8, 1, 1, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [9, 8, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [9, 8, 6] [9, 6] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [9, 8, 6] [9, 6] [2, 1, 8, 2, 0] [2, 1, 2, 0] --------------- = ------------ [9, 8, 6] [9, 6] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [9, 8, 6] [9, 6] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [1, 1, 9, 0, 10] [1, 1, 0, 10] ---------------- = ------------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [1, 1, 9, 4, 9] [1, 1, 4, 9] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 3, 7] [1, 4, 3, 7] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 1, 3] [1, 10, 1, 3] ---------------- = ------------- [9, 9, 6] [9, 6] [2, 2, 9, 0, 1] [2, 2, 0, 1] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 10, 3] [4, 10, 7, 0] [4, 7, 0] ------------- = --------- [9, 10, 3] [9, 3] denominator=, [9, 10, 5] [4, 10, 8, 0] [4, 8, 0] ------------- = --------- [9, 10, 5] [9, 5] [1, 3, 10, 2, 0] [1, 3, 2, 0] ---------------- = ------------ [9, 10, 5] [9, 5] denominator=, [9, 10, 6] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [9, 10, 6] [9, 6] [3, 10, 9, 0] [3, 9, 0] ------------- = --------- [9, 10, 6] [9, 6] [5, 10, 8, 0] [5, 8, 0] ------------- = --------- [9, 10, 6] [9, 6] [7, 10, 7, 0] [7, 7, 0] ------------- = --------- [9, 10, 6] [9, 6] [1, 0, 10, 5, 0] [1, 0, 5, 0] ---------------- = ------------ [9, 10, 6] [9, 6] [1, 2, 10, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [9, 10, 6] [9, 6] [1, 4, 10, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [9, 10, 6] [9, 6] [1, 6, 10, 2, 0] [1, 6, 2, 0] ---------------- = ------------ [9, 10, 6] [9, 6] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [9, 10, 6] [9, 6] denominator=, [9, 10, 7] [4, 10, 9, 0] [4, 9, 0] ------------- = --------- [9, 10, 7] [9, 7] [1, 3, 10, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [9, 10, 7] [9, 7] [2, 2, 10, 1, 0] [2, 2, 1, 0] ---------------- = ------------ [9, 10, 7] [9, 7] denominator=, [9, 10, 9] [4, 10, 10, 0] [4, 10, 0] -------------- = ---------- [9, 10, 9] [9, 9] [1, 3, 10, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [9, 10, 9] [9, 9] [2, 2, 10, 6, 0] [2, 2, 6, 0] ---------------- = ------------ [9, 10, 9] [9, 9] [3, 1, 10, 4, 0] [3, 1, 4, 0] ---------------- = ------------ [9, 10, 9] [9, 9] [4, 0, 10, 2, 0] [4, 0, 2, 0] ---------------- = ------------ [9, 10, 9] [9, 9] [4, 10, 10, 0, 0] [4, 10, 0, 0] ----------------- = ------------- [9, 10, 9] [9, 9] denominator=, [10, 4, 4] [3, 3, 4, 3, 0] [3, 3, 3, 0] --------------- = ------------ [10, 4, 4] [10, 4] [8, 0, 4, 1, 0] [8, 0, 1, 0] --------------- = ------------ [10, 4, 4] [10, 4] denominator=, [10, 5, 1] [3, 5, 4, 0] [3, 4, 0] ------------ = --------- [10, 5, 1] [10, 1] denominator=, [10, 5, 2] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [10, 5, 2] [10, 2] [4, 5, 4, 0] [4, 4, 0] ------------ = --------- [10, 5, 2] [10, 2] [7, 5, 3, 0] [7, 3, 0] ------------ = --------- [10, 5, 2] [10, 2] [1, 2, 5, 1, 0] [1, 2, 1, 0] --------------- = ------------ [10, 5, 2] [10, 2] [1, 5, 5, 0, 0] [1, 5, 0, 0] --------------- = ------------ [10, 5, 2] [10, 2] denominator=, [10, 5, 4] [3, 5, 5, 0] [3, 5, 0] ------------ = --------- [10, 5, 4] [10, 4] [1, 6, 5, 3, 0] [1, 6, 3, 0] --------------- = ------------ [10, 5, 4] [10, 4] [2, 2, 5, 2, 0] [2, 2, 2, 0] --------------- = ------------ [10, 5, 4] [10, 4] [3, 5, 5, 0, 0] [3, 5, 0, 0] --------------- = ------------ [10, 5, 4] [10, 4] denominator=, [10, 8, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [10, 8, 4] [10, 4] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [10, 8, 4] [10, 4] denominator=, [10, 8, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [10, 8, 7] [10, 7] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [10, 8, 7] [10, 7] [2, 0, 8, 5, 0] [2, 0, 5, 0] --------------- = ------------ [10, 8, 7] [10, 7] [2, 6, 8, 4, 0] [2, 6, 4, 0] --------------- = ------------ [10, 8, 7] [10, 7] [3, 1, 8, 3, 0] [3, 1, 3, 0] --------------- = ------------ [10, 8, 7] [10, 7] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [10, 8, 7] [10, 7] [4, 2, 8, 1, 0] [4, 2, 1, 0] --------------- = ------------ [10, 8, 7] [10, 7] [4, 8, 8, 0, 0] [4, 8, 0, 0] --------------- = ------------ [10, 8, 7] [10, 7] denominator=, [10, 8, 8] [3, 4, 8, 6, 0] [3, 4, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [8, 3, 8, 2, 0] [8, 3, 2, 0] --------------- = ------------ [10, 8, 8] [10, 8] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 9, 0] [2, 9] [9] --------- = ------ [2, 9, 0] [9, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 10, 0] [4, 10] [10] ---------- = ------- [4, 10, 0] [10, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] [1, 5, 1] [1, 1] --------- = ------ [5, 4, 0] [4, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 10, 0] [6, 10] [10] ---------- = ------- [6, 10, 0] [10, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 10, 0] [7, 10] [10] ---------- = ------- [7, 10, 0] [10, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] [1, 10, 1] [1, 1] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] [1, 10, 3] [1, 3] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] [1, 10, 5] [1, 5] ---------- = ------ [10, 8, 0] [8, 0] [2, 10, 2] [2, 2] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] [1, 10, 7] [1, 7] ---------- = ------ [10, 9, 0] [9, 0] [2, 10, 5] [2, 5] ---------- = ------ [10, 9, 0] [9, 0] [3, 10, 3] [3, 3] ---------- = ------ [10, 9, 0] [9, 0] [4, 10, 1] [4, 1] ---------- = ------ [10, 9, 0] [9, 0] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 11, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [3, 2, 8] [1, 3, 0, 9] [1, 0, 9] ------------ = --------- [3, 2, 8] [2, 8] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 3] [1, 4, 0, 5] [1, 0, 5] ------------ = --------- [4, 3, 3] [3, 3] denominator=, [4, 3, 5] [1, 4, 1, 1] [1, 1, 1] ------------ = --------- [4, 3, 5] [3, 5] denominator=, [4, 3, 7] [1, 4, 1, 8] [1, 1, 8] ------------ = --------- [4, 3, 7] [3, 7] denominator=, [4, 3, 9] [1, 4, 2, 4] [1, 2, 4] ------------ = --------- [4, 3, 9] [3, 9] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 7] [1, 3, 7] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 6] [3, 2, 6] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 5] [5, 1, 5] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 4] [7, 0, 4] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [6, 4, 4] [1, 6, 0, 7] [1, 0, 7] ------------ = --------- [6, 4, 4] [4, 4] denominator=, [6, 4, 7] [1, 6, 1, 4] [1, 1, 4] ------------ = --------- [6, 4, 7] [4, 7] denominator=, [6, 4, 10] [1, 6, 2, 1] [1, 2, 1] ------------ = --------- [6, 4, 10] [4, 10] denominator=, [6, 5, 2] [1, 6, 2, 9] [1, 2, 9] ------------ = --------- [6, 5, 2] [5, 2] [2, 6, 0, 5] [2, 0, 5] ------------ = --------- [6, 5, 2] [5, 2] denominator=, [6, 5, 5] [1, 6, 3, 6] [1, 3, 6] ------------ = --------- [6, 5, 5] [5, 5] [2, 6, 1, 7] [2, 1, 7] ------------ = --------- [6, 5, 5] [5, 5] denominator=, [6, 5, 8] [1, 6, 4, 3] [1, 4, 3] ------------ = --------- [6, 5, 8] [5, 8] [2, 6, 2, 9] [2, 2, 9] ------------ = --------- [6, 5, 8] [5, 8] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 8] [1, 5, 8] ------------ = --------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 6] [5, 3, 6] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 5] [7, 2, 5] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 10] [8, 1, 10] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 9] [10, 0, 9] ------------- = ---------- [6, 6, 3] [6, 3] [1, 0, 6, 0, 3] [1, 0, 0, 3] --------------- = ------------ [6, 6, 3] [6, 3] denominator=, [7, 5, 1] [1, 7, 1, 4] [1, 1, 4] ------------ = --------- [7, 5, 1] [5, 1] denominator=, [7, 5, 8] [1, 7, 2, 10] [1, 2, 10] ------------- = ---------- [7, 5, 8] [5, 8] [2, 7, 0, 1] [2, 0, 1] ------------ = --------- [7, 5, 8] [5, 8] denominator=, [7, 6, 4] [1, 7, 4, 5] [1, 4, 5] ------------ = --------- [7, 6, 4] [6, 4] [2, 7, 2, 6] [2, 2, 6] ------------ = --------- [7, 6, 4] [6, 4] [3, 7, 0, 7] [3, 0, 7] ------------ = --------- [7, 6, 4] [6, 4] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 1] [1, 8, 0, 5] [1, 0, 5] ------------ = --------- [8, 5, 1] [5, 1] denominator=, [8, 5, 5] [1, 8, 1, 3] [1, 1, 3] ------------ = --------- [8, 5, 5] [5, 5] denominator=, [8, 5, 9] [1, 8, 2, 1] [1, 2, 1] ------------ = --------- [8, 5, 9] [5, 9] denominator=, [8, 6, 2] [1, 8, 2, 10] [1, 2, 10] ------------- = ---------- [8, 6, 2] [6, 2] denominator=, [8, 6, 4] [2, 8, 0, 3] [2, 0, 3] ------------ = --------- [8, 6, 4] [6, 4] denominator=, [8, 6, 6] [1, 8, 3, 8] [1, 3, 8] ------------ = --------- [8, 6, 6] [6, 6] [2, 8, 0, 10] [2, 0, 10] ------------- = ---------- [8, 6, 6] [6, 6] denominator=, [8, 6, 8] [2, 8, 1, 6] [2, 1, 6] ------------ = --------- [8, 6, 8] [6, 8] denominator=, [8, 6, 10] [1, 8, 4, 6] [1, 4, 6] ------------ = --------- [8, 6, 10] [6, 10] [2, 8, 2, 2] [2, 2, 2] ------------ = --------- [8, 6, 10] [6, 10] denominator=, [8, 7, 1] [2, 8, 2, 9] [2, 2, 9] ------------ = --------- [8, 7, 1] [7, 1] denominator=, [8, 7, 3] [1, 8, 5, 4] [1, 5, 4] ------------ = --------- [8, 7, 3] [7, 3] [2, 8, 3, 5] [2, 3, 5] ------------ = --------- [8, 7, 3] [7, 3] [3, 8, 1, 6] [3, 1, 6] ------------ = --------- [8, 7, 3] [7, 3] denominator=, [8, 7, 5] [2, 8, 4, 1] [2, 4, 1] ------------ = --------- [8, 7, 5] [7, 5] denominator=, [8, 7, 7] [1, 8, 6, 2] [1, 6, 2] ------------ = --------- [8, 7, 7] [7, 7] [2, 8, 4, 8] [2, 4, 8] ------------ = --------- [8, 7, 7] [7, 7] [3, 8, 3, 3] [3, 3, 3] ------------ = --------- [8, 7, 7] [7, 7] [5, 8, 0, 4] [5, 0, 4] ------------ = --------- [8, 7, 7] [7, 7] denominator=, [8, 7, 9] [2, 8, 5, 4] [2, 5, 4] ------------ = --------- [8, 7, 9] [7, 9] [6, 8, 0, 5] [6, 0, 5] ------------ = --------- [8, 7, 9] [7, 9] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 7] [2, 6, 7] ------------ = --------- [8, 8, 2] [8, 2] [6, 8, 3, 6] [6, 3, 6] ------------ = --------- [8, 8, 2] [8, 2] [10, 8, 0, 5] [10, 0, 5] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 9] [1, 7, 9] ------------ = --------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 8] [3, 6, 8] ------------ = --------- [8, 8, 4] [8, 4] [5, 8, 5, 7] [5, 5, 7] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 6] [7, 4, 6] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 5] [9, 3, 5] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 10] [10, 2, 10] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 2, 4] [1, 0, 2, 4] --------------- = ------------ [8, 8, 4] [8, 4] [1, 2, 8, 1, 3] [1, 2, 1, 3] --------------- = ------------ [8, 8, 4] [8, 4] [1, 3, 8, 0, 8] [1, 3, 0, 8] --------------- = ------------ [8, 8, 4] [8, 4] [1, 4, 8, 0, 2] [1, 4, 0, 2] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 10] [2, 7, 10] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 7] [6, 6, 7] ------------ = --------- [8, 8, 6] [8, 6] [10, 8, 5, 4] [10, 5, 4] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 4, 1] [1, 3, 4, 1] --------------- = ------------ [8, 8, 6] [8, 6] [1, 7, 8, 2, 9] [1, 7, 2, 9] --------------- = ------------ [8, 8, 6] [8, 6] [2, 0, 8, 1, 6] [2, 0, 1, 6] --------------- = ------------ [8, 8, 6] [8, 6] [2, 4, 8, 0, 3] [2, 4, 0, 3] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [9, 5, 8] [1, 9, 1, 1] [1, 1, 1] ------------ = --------- [9, 5, 8] [5, 8] denominator=, [9, 6, 6] [1, 9, 2, 9] [1, 2, 9] ------------ = --------- [9, 6, 6] [6, 6] denominator=, [9, 7, 4] [1, 9, 4, 6] [1, 4, 6] ------------ = --------- [9, 7, 4] [7, 4] [2, 9, 1, 8] [2, 1, 8] ------------ = --------- [9, 7, 4] [7, 4] denominator=, [9, 7, 7] [3, 9, 0, 1] [3, 0, 1] ------------ = --------- [9, 7, 7] [7, 7] denominator=, [9, 7, 10] [3, 9, 1, 3] [3, 1, 3] ------------ = --------- [9, 7, 10] [7, 10] denominator=, [9, 8, 2] [1, 9, 6, 3] [1, 6, 3] ------------ = --------- [9, 8, 2] [8, 2] [2, 9, 4, 4] [2, 4, 4] ------------ = --------- [9, 8, 2] [8, 2] [3, 9, 2, 5] [3, 2, 5] ------------ = --------- [9, 8, 2] [8, 2] [4, 9, 0, 6] [4, 0, 6] ------------ = --------- [9, 8, 2] [8, 2] denominator=, [9, 8, 5] [3, 9, 3, 7] [3, 3, 7] ------------ = --------- [9, 8, 5] [8, 5] denominator=, [9, 8, 8] [3, 9, 4, 9] [3, 4, 9] ------------ = --------- [9, 8, 8] [8, 8] [6, 9, 0, 10] [6, 0, 10] ------------- = ---------- [9, 8, 8] [8, 8] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [1, 1, 9, 0, 10] [1, 1, 0, 10] ---------------- = ------------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [1, 1, 9, 4, 9] [1, 1, 4, 9] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 3, 7] [1, 4, 3, 7] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 1, 3] [1, 10, 1, 3] ---------------- = ------------- [9, 9, 6] [9, 6] [2, 2, 9, 0, 1] [2, 2, 0, 1] --------------- = ------------ [9, 9, 6] [9, 6] ------------------------------------------------------------------------- This ends this book that took, 49.071, seconds to generate. ---------------------------------------------- Base , 12 Lots and Lots of Anomalous Cancellations in base, 12 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 12, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 12, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [11, 6] [1, 11] [1] ------- = --- [11, 6] [6] denominator=, [11, 8] [2, 11] [2] ------- = --- [11, 8] [8] denominator=, [11, 9] [3, 11] [3] ------- = --- [11, 9] [9] denominator=, [11, 10] [5, 11] [5] -------- = ---- [11, 10] [10] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 8, 4] [6, 4, 3] [6, 3] --------- = ------ [1, 8, 4] [1, 8] denominator=, [1, 8, 5] [5, 5, 4] [5, 4] --------- = ------ [1, 8, 5] [1, 8] denominator=, [1, 9, 3] [8, 3, 2] [8, 2] --------- = ------ [1, 9, 3] [1, 9] denominator=, [1, 9, 7] [4, 7, 6] [4, 6] --------- = ------ [1, 9, 7] [1, 9] denominator=, [2, 0, 6] [9, 6, 4] [9, 4] --------- = ------ [2, 0, 6] [2, 0] denominator=, [2, 0, 8] [7, 8, 6] [7, 6] --------- = ------ [2, 0, 8] [2, 0] denominator=, [2, 1, 5] [11, 5, 3] [11, 3] ---------- = ------- [2, 1, 5] [2, 1] denominator=, [2, 1, 10] [6, 10, 8] [6, 8] ---------- = ------ [2, 1, 10] [2, 1] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 3, 9] [10, 9, 6] [10, 6] ---------- = ------- [2, 3, 9] [2, 3] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 4, 7] [1, 1, 7, 4] [1, 1, 4] ------------ = --------- [2, 4, 7] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 6, 10] [1, 1, 10, 6] [1, 1, 6] ------------- = --------- [2, 6, 10] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 11, 5] [9, 5, 4] [9, 4] ---------- = ------- [2, 11, 5] [2, 11] [1, 10, 5, 2] [1, 10, 2] ------------- = ---------- [2, 11, 5] [2, 11] denominator=, [2, 11, 7] [7, 7, 6] [7, 6] ---------- = ------- [2, 11, 7] [2, 11] [1, 9, 7, 3] [1, 9, 3] ------------ = --------- [2, 11, 7] [2, 11] denominator=, [3, 0, 4] [11, 4, 3] [11, 3] ---------- = ------- [3, 0, 4] [3, 0] denominator=, [3, 0, 9] [6, 9, 8] [6, 8] --------- = ------ [3, 0, 9] [3, 0] [1, 9, 9, 4] [1, 9, 4] ------------ = --------- [3, 0, 9] [3, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 4, 8] [1, 0, 8, 6] [1, 0, 6] ------------ = --------- [3, 4, 8] [3, 4] [2, 2, 8, 3] [2, 2, 3] ------------ = --------- [3, 4, 8] [3, 4] denominator=, [3, 4, 10] [10, 10, 8] [10, 8] ----------- = ------- [3, 4, 10] [3, 4] [2, 1, 10, 4] [2, 1, 4] ------------- = --------- [3, 4, 10] [3, 4] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 5] [1, 8, 5, 3] [1, 8, 3] ------------ = --------- [3, 9, 5] [3, 9] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [4, 1, 7] [10, 7, 6] [10, 6] ---------- = ------- [4, 1, 7] [4, 1] [1, 11, 7, 4] [1, 11, 4] ------------- = ---------- [4, 1, 7] [4, 1] [3, 0, 7, 2] [3, 0, 2] ------------ = --------- [4, 1, 7] [4, 1] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 2, 5] [1, 1, 5, 4] [1, 1, 4] ------------ = --------- [4, 2, 5] [4, 2] denominator=, [4, 2, 10] [8, 10, 9] [8, 9] ---------- = ------ [4, 2, 10] [4, 2] [1, 10, 10, 6] [1, 10, 6] -------------- = ---------- [4, 2, 10] [4, 2] [3, 0, 10, 3] [3, 0, 3] ------------- = --------- [4, 2, 10] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 7, 10] [1, 2, 10, 8] [1, 2, 8] ------------- = --------- [4, 7, 10] [4, 7] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 9, 3] [1, 10, 3, 2] [1, 10, 2] ------------- = ---------- [4, 9, 3] [4, 9] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [5, 0, 6] [1, 11, 6, 4] [1, 11, 4] ------------- = ---------- [5, 0, 6] [5, 0] denominator=, [5, 3, 7] [1, 1, 7, 6] [1, 1, 6] ------------ = --------- [5, 3, 7] [5, 3] [3, 2, 7, 3] [3, 2, 3] ------------ = --------- [5, 3, 7] [5, 3] denominator=, [5, 3, 9] [11, 9, 8] [11, 8] ---------- = ------- [5, 3, 9] [5, 3] [2, 0, 9, 6] [2, 0, 6] ------------ = --------- [5, 3, 9] [5, 3] [3, 1, 9, 4] [3, 1, 4] ------------ = --------- [5, 3, 9] [5, 3] [4, 2, 9, 2] [4, 2, 2] ------------ = --------- [5, 3, 9] [5, 3] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 8, 4] [1, 9, 4, 3] [1, 9, 3] ------------ = --------- [5, 8, 4] [5, 8] denominator=, [5, 10, 7] [2, 9, 7, 4] [2, 9, 4] ------------ = --------- [5, 10, 7] [5, 10] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [6, 0, 8] [1, 10, 8, 6] [1, 10, 6] ------------- = ---------- [6, 0, 8] [6, 0] [3, 11, 8, 3] [3, 11, 3] ------------- = ---------- [6, 0, 8] [6, 0] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 5, 7] [1, 4, 7, 6] [1, 4, 6] ------------ = --------- [6, 5, 7] [6, 5] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 5] [1, 9, 5, 4] [1, 9, 4] ------------ = --------- [6, 8, 5] [6, 8] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [7, 0, 4] [2, 2, 4, 3] [2, 2, 3] ------------ = --------- [7, 0, 4] [7, 0] denominator=, [7, 1, 5] [3, 2, 5, 3] [3, 2, 3] ------------ = --------- [7, 1, 5] [7, 1] denominator=, [7, 1, 10] [1, 10, 10, 8] [1, 10, 8] -------------- = ---------- [7, 1, 10] [7, 1] denominator=, [7, 4, 8] [2, 3, 8, 6] [2, 3, 6] ------------ = --------- [7, 4, 8] [7, 4] denominator=, [7, 6, 9] [1, 4, 9, 8] [1, 4, 8] ------------ = --------- [7, 6, 9] [7, 6] [4, 5, 9, 4] [4, 5, 4] ------------ = --------- [7, 6, 9] [7, 6] denominator=, [7, 6, 10] [1, 3, 10, 9] [1, 3, 9] ------------- = --------- [7, 6, 10] [7, 6] [3, 4, 10, 6] [3, 4, 6] ------------- = --------- [7, 6, 10] [7, 6] [5, 5, 10, 3] [5, 5, 3] ------------- = --------- [7, 6, 10] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 9, 3] [3, 0, 3, 2] [3, 0, 2] ------------ = --------- [7, 9, 3] [7, 9] denominator=, [7, 11, 5] [2, 1, 5, 4] [2, 1, 4] ------------ = --------- [7, 11, 5] [7, 11] [5, 0, 5, 2] [5, 0, 2] ------------ = --------- [7, 11, 5] [7, 11] denominator=, [8, 0, 6] [3, 1, 6, 4] [3, 1, 4] ------------ = --------- [8, 0, 6] [8, 0] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 3, 9] [3, 2, 9, 6] [3, 2, 6] ------------ = --------- [8, 3, 9] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 4, 10] [2, 2, 10, 8] [2, 2, 8] ------------- = --------- [8, 4, 10] [8, 4] [5, 3, 10, 4] [5, 3, 4] ------------- = --------- [8, 4, 10] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 9, 5] [3, 11, 5, 3] [3, 11, 3] ------------- = ---------- [8, 9, 5] [8, 9] denominator=, [8, 9, 7] [1, 10, 7, 6] [1, 10, 6] ------------- = ---------- [8, 9, 7] [8, 9] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [9, 2, 5] [2, 5, 5, 4] [2, 5, 4] ------------ = --------- [9, 2, 5] [9, 2] denominator=, [9, 2, 10] [4, 1, 10, 6] [4, 1, 6] ------------- = --------- [9, 2, 10] [9, 2] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 4, 7] [4, 5, 7, 4] [4, 5, 4] ------------ = --------- [9, 4, 7] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 7, 10] [2, 6, 10, 8] [2, 6, 8] ------------- = --------- [9, 7, 10] [9, 7] denominator=, [9, 8, 4] [3, 0, 4, 3] [3, 0, 3] ------------ = --------- [9, 8, 4] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 7] [2, 1, 7, 6] [2, 1, 6] ------------ = --------- [9, 11, 7] [9, 11] [6, 0, 7, 3] [6, 0, 3] ------------ = --------- [9, 11, 7] [9, 11] denominator=, [10, 0, 8] [3, 1, 8, 6] [3, 1, 6] ------------ = --------- [10, 0, 8] [10, 0] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 9, 3] [4, 2, 3, 2] [4, 2, 2] ------------ = --------- [10, 9, 3] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 0, 4] [3, 5, 4, 3] [3, 5, 3] ------------ = --------- [11, 0, 4] [11, 0] denominator=, [11, 0, 6] [4, 3, 6, 4] [4, 3, 4] ------------ = --------- [11, 0, 6] [11, 0] denominator=, [11, 1, 7] [2, 4, 7, 6] [2, 4, 6] ------------ = --------- [11, 1, 7] [11, 1] [5, 3, 7, 4] [5, 3, 4] ------------ = --------- [11, 1, 7] [11, 1] [8, 2, 7, 2] [8, 2, 2] ------------ = --------- [11, 1, 7] [11, 1] denominator=, [11, 3, 9] [4, 4, 9, 6] [4, 4, 6] ------------ = --------- [11, 3, 9] [11, 3] denominator=, [11, 4, 8] [3, 6, 8, 6] [3, 6, 6] ------------ = --------- [11, 4, 8] [11, 4] [7, 5, 8, 3] [7, 5, 3] ------------ = --------- [11, 4, 8] [11, 4] denominator=, [11, 8, 5] [3, 1, 5, 4] [3, 1, 4] ------------ = --------- [11, 8, 5] [11, 8] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 3] [2, 3, 2, 8] [2, 2, 8] ------------ = --------- [1, 0, 3] [1, 0] [7, 3, 1, 4] [7, 1, 4] ------------ = --------- [1, 0, 3] [1, 0] denominator=, [1, 2, 6] [9, 6, 2, 3] [9, 2, 3] ------------ = --------- [1, 2, 6] [1, 2] denominator=, [1, 8, 4] [1, 1, 4, 1, 6] [1, 1, 1, 6] --------------- = ------------ [1, 8, 4] [1, 8] denominator=, [1, 8, 5] [5, 5, 4] [5, 4] --------- = ------ [1, 8, 5] [1, 8] [5, 5, 4, 0] [5, 4, 0] ------------ = --------- [1, 8, 5] [1, 8] [10, 5, 2, 8] [10, 2, 8] ------------- = ---------- [1, 8, 5] [1, 8] [1, 3, 5, 1, 4] [1, 3, 1, 4] --------------- = ------------ [1, 8, 5] [1, 8] denominator=, [1, 9, 7] [4, 7, 6, 0] [4, 6, 0] ------------ = --------- [1, 9, 7] [1, 9] denominator=, [2, 0, 6] [4, 6, 5, 4] [4, 5, 4] ------------ = --------- [2, 0, 6] [2, 0] [1, 2, 6, 2, 8] [1, 2, 2, 8] --------------- = ------------ [2, 0, 6] [2, 0] [1, 7, 6, 1, 4] [1, 7, 1, 4] --------------- = ------------ [2, 0, 6] [2, 0] denominator=, [2, 1, 5] [4, 5, 4, 6] [4, 4, 6] ------------ = --------- [2, 1, 5] [2, 1] [11, 5, 3, 0] [11, 3, 0] ------------- = ---------- [2, 1, 5] [2, 1] [1, 6, 5, 1, 6] [1, 6, 1, 6] --------------- = ------------ [2, 1, 5] [2, 1] denominator=, [2, 1, 10] [6, 10, 8, 0] [6, 8, 0] ------------- = --------- [2, 1, 10] [2, 1] denominator=, [2, 4, 7] [3, 7, 6, 8] [3, 6, 8] ------------ = --------- [2, 4, 7] [2, 4] [8, 7, 5, 4] [8, 5, 4] ------------ = --------- [2, 4, 7] [2, 4] [1, 1, 7, 4, 0] [1, 1, 4, 0] --------------- = ------------ [2, 4, 7] [2, 4] [1, 6, 7, 2, 8] [1, 6, 2, 8] --------------- = ------------ [2, 4, 7] [2, 4] [1, 11, 7, 1, 4] [1, 11, 1, 4] ---------------- = ------------- [2, 4, 7] [2, 4] denominator=, [2, 6, 10] [1, 1, 10, 6, 0] [1, 1, 6, 0] ---------------- = ------------ [2, 6, 10] [2, 6] denominator=, [2, 10, 10] [6, 10, 8, 9] [6, 8, 9] ------------- = --------- [2, 10, 10] [2, 10] [1, 2, 10, 6, 3] [1, 2, 6, 3] ---------------- = ------------ [2, 10, 10] [2, 10] [1, 10, 10, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [2, 10, 10] [2, 10] [2, 6, 10, 1, 3] [2, 6, 1, 3] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [2, 11, 5] [9, 5, 4, 0] [9, 4, 0] ------------ = --------- [2, 11, 5] [2, 11] [1, 10, 5, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [2, 11, 5] [2, 11] denominator=, [2, 11, 7] [7, 7, 6] [7, 6] ---------- = ------- [2, 11, 7] [2, 11] [7, 7, 6, 0] [7, 6, 0] ------------ = --------- [2, 11, 7] [2, 11] [1, 2, 7, 4, 6] [1, 2, 4, 6] --------------- = ------------ [2, 11, 7] [2, 11] [1, 9, 7, 3, 0] [1, 9, 3, 0] --------------- = ------------ [2, 11, 7] [2, 11] [2, 4, 7, 1, 6] [2, 4, 1, 6] --------------- = ------------ [2, 11, 7] [2, 11] denominator=, [3, 0, 9] [1, 9, 9, 4] [1, 9, 4] ------------ = --------- [3, 0, 9] [3, 0] [6, 9, 8, 0] [6, 8, 0] ------------ = --------- [3, 0, 9] [3, 0] [11, 9, 6, 8] [11, 6, 8] ------------- = ---------- [3, 0, 9] [3, 0] [1, 4, 9, 5, 4] [1, 4, 5, 4] --------------- = ------------ [3, 0, 9] [3, 0] [1, 9, 9, 4, 0] [1, 9, 4, 0] --------------- = ------------ [3, 0, 9] [3, 0] [2, 2, 9, 2, 8] [2, 2, 2, 8] --------------- = ------------ [3, 0, 9] [3, 0] [2, 7, 9, 1, 4] [2, 7, 1, 4] --------------- = ------------ [3, 0, 9] [3, 0] denominator=, [3, 4, 8] [5, 8, 7, 6] [5, 7, 6] ------------ = --------- [3, 4, 8] [3, 4] [1, 7, 8, 4, 6] [1, 7, 4, 6] --------------- = ------------ [3, 4, 8] [3, 4] [2, 2, 8, 3, 0] [2, 2, 3, 0] --------------- = ------------ [3, 4, 8] [3, 4] [2, 9, 8, 1, 6] [2, 9, 1, 6] --------------- = ------------ [3, 4, 8] [3, 4] denominator=, [3, 4, 10] [10, 10, 8] [10, 8] ----------- = ------- [3, 4, 10] [3, 4] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [3, 4, 10] [3, 4] [10, 10, 8, 0] [10, 8, 0] -------------- = ---------- [3, 4, 10] [3, 4] [1, 8, 10, 5, 4] [1, 8, 5, 4] ---------------- = ------------ [3, 4, 10] [3, 4] [2, 1, 10, 4, 0] [2, 1, 4, 0] ---------------- = ------------ [3, 4, 10] [3, 4] [2, 6, 10, 2, 8] [2, 6, 2, 8] ---------------- = ------------ [3, 4, 10] [3, 4] [2, 11, 10, 1, 4] [2, 11, 1, 4] ----------------- = ------------- [3, 4, 10] [3, 4] denominator=, [3, 9, 5] [1, 8, 5, 3, 0] [1, 8, 3, 0] --------------- = ------------ [3, 9, 5] [3, 9] denominator=, [3, 10, 6] [2, 6, 6, 2, 3] [2, 6, 2, 3] --------------- = ------------ [3, 10, 6] [3, 10] denominator=, [4, 1, 7] [10, 7, 6, 0] [10, 6, 0] ------------- = ---------- [4, 1, 7] [4, 1] [1, 11, 7, 4, 0] [1, 11, 4, 0] ---------------- = ------------- [4, 1, 7] [4, 1] [3, 0, 7, 2, 0] [3, 0, 2, 0] --------------- = ------------ [4, 1, 7] [4, 1] denominator=, [4, 2, 5] [1, 1, 5, 4, 0] [1, 1, 4, 0] --------------- = ------------ [4, 2, 5] [4, 2] denominator=, [4, 2, 10] [1, 10, 10, 6] [1, 10, 6] -------------- = ---------- [4, 2, 10] [4, 2] [8, 10, 9, 0] [8, 9, 0] ------------- = --------- [4, 2, 10] [4, 2] [1, 10, 10, 6, 0] [1, 10, 6, 0] ----------------- = ------------- [4, 2, 10] [4, 2] [2, 5, 10, 4, 6] [2, 5, 4, 6] ---------------- = ------------ [4, 2, 10] [4, 2] [3, 0, 10, 3, 0] [3, 0, 3, 0] ---------------- = ------------ [4, 2, 10] [4, 2] [3, 7, 10, 1, 6] [3, 7, 1, 6] ---------------- = ------------ [4, 2, 10] [4, 2] denominator=, [4, 3, 6] [9, 6, 5, 4] [9, 5, 4] ------------ = --------- [4, 3, 6] [4, 3] [2, 6, 6, 2, 8] [2, 6, 2, 8] --------------- = ------------ [4, 3, 6] [4, 3] denominator=, [4, 7, 10] [1, 2, 10, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [4, 7, 10] [4, 7] denominator=, [4, 10, 2] [3, 2, 2, 0, 9] [3, 2, 0, 9] --------------- = ------------ [4, 10, 2] [4, 10] denominator=, [5, 3, 7] [1, 1, 7, 6, 0] [1, 1, 6, 0] --------------- = ------------ [5, 3, 7] [5, 3] [3, 2, 7, 3, 0] [3, 2, 3, 0] --------------- = ------------ [5, 3, 7] [5, 3] denominator=, [5, 3, 9] [11, 9, 8, 0] [11, 8, 0] ------------- = ---------- [5, 3, 9] [5, 3] [3, 1, 9, 4, 0] [3, 1, 4, 0] --------------- = ------------ [5, 3, 9] [5, 3] [4, 2, 9, 2, 0] [4, 2, 2, 0] --------------- = ------------ [5, 3, 9] [5, 3] denominator=, [5, 6, 3] [1, 0, 3, 2, 8] [1, 0, 2, 8] --------------- = ------------ [5, 6, 3] [5, 6] [3, 3, 3, 1, 4] [3, 3, 1, 4] --------------- = ------------ [5, 6, 3] [5, 6] denominator=, [5, 6, 10] [3, 7, 10, 3, 9] [3, 7, 3, 9] ---------------- = ------------ [5, 6, 10] [5, 6] denominator=, [5, 10, 7] [2, 9, 7, 4, 0] [2, 9, 4, 0] --------------- = ------------ [5, 10, 7] [5, 10] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [6, 0, 8] [3, 11, 8, 3, 0] [3, 11, 3, 0] ---------------- = ------------- [6, 0, 8] [6, 0] denominator=, [6, 5, 7] [1, 4, 7, 6, 0] [1, 4, 6, 0] --------------- = ------------ [6, 5, 7] [6, 5] denominator=, [6, 8, 5] [1, 9, 5, 4, 0] [1, 9, 4, 0] --------------- = ------------ [6, 8, 5] [6, 8] denominator=, [7, 0, 4] [4, 7, 4, 1, 6] [4, 7, 1, 6] --------------- = ------------ [7, 0, 4] [7, 0] denominator=, [7, 1, 5] [3, 2, 5, 3, 0] [3, 2, 3, 0] --------------- = ------------ [7, 1, 5] [7, 1] denominator=, [7, 1, 10] [1, 10, 10, 8] [1, 10, 8] -------------- = ---------- [7, 1, 10] [7, 1] [1, 10, 10, 8, 0] [1, 10, 8, 0] ----------------- = ------------- [7, 1, 10] [7, 1] [3, 7, 10, 5, 4] [3, 7, 5, 4] ---------------- = ------------ [7, 1, 10] [7, 1] [5, 4, 10, 2, 8] [5, 4, 2, 8] ---------------- = ------------ [7, 1, 10] [7, 1] denominator=, [7, 6, 2] [4, 11, 2, 0, 9] [4, 11, 0, 9] ---------------- = ------------- [7, 6, 2] [7, 6] denominator=, [7, 6, 9] [1, 4, 9, 8, 0] [1, 4, 8, 0] --------------- = ------------ [7, 6, 9] [7, 6] [4, 5, 9, 4, 0] [4, 5, 4, 0] --------------- = ------------ [7, 6, 9] [7, 6] denominator=, [7, 6, 10] [1, 3, 10, 9, 0] [1, 3, 9, 0] ---------------- = ------------ [7, 6, 10] [7, 6] [3, 4, 10, 6, 0] [3, 4, 6, 0] ---------------- = ------------ [7, 6, 10] [7, 6] [5, 5, 10, 3, 0] [5, 5, 3, 0] ---------------- = ------------ [7, 6, 10] [7, 6] denominator=, [7, 9, 3] [1, 5, 3, 2, 8] [1, 5, 2, 8] --------------- = ------------ [7, 9, 3] [7, 9] [4, 7, 3, 1, 4] [4, 7, 1, 4] --------------- = ------------ [7, 9, 3] [7, 9] [6, 2, 3, 0, 8] [6, 2, 0, 8] --------------- = ------------ [7, 9, 3] [7, 9] denominator=, [7, 11, 5] [2, 1, 5, 4, 0] [2, 1, 4, 0] --------------- = ------------ [7, 11, 5] [7, 11] [5, 0, 5, 2, 0] [5, 0, 2, 0] --------------- = ------------ [7, 11, 5] [7, 11] denominator=, [8, 2, 10] [5, 4, 10, 3, 9] [5, 4, 3, 9] ---------------- = ------------ [8, 2, 10] [8, 2] denominator=, [8, 4, 10] [2, 2, 10, 8, 0] [2, 2, 8, 0] ---------------- = ------------ [8, 4, 10] [8, 4] [5, 3, 10, 4, 0] [5, 3, 4, 0] ---------------- = ------------ [8, 4, 10] [8, 4] denominator=, [8, 9, 5] [1, 6, 5, 4, 6] [1, 6, 4, 6] --------------- = ------------ [8, 9, 5] [8, 9] [3, 11, 5, 3, 0] [3, 11, 3, 0] ---------------- = ------------- [8, 9, 5] [8, 9] [6, 4, 5, 1, 6] [6, 4, 1, 6] --------------- = ------------ [8, 9, 5] [8, 9] denominator=, [8, 9, 6] [1, 7, 6, 5, 4] [1, 7, 5, 4] --------------- = ------------ [8, 9, 6] [8, 9] [5, 2, 6, 2, 8] [5, 2, 2, 8] --------------- = ------------ [8, 9, 6] [8, 9] denominator=, [8, 9, 7] [1, 10, 7, 6, 0] [1, 10, 6, 0] ---------------- = ------------- [8, 9, 7] [8, 9] denominator=, [9, 2, 5] [2, 5, 5, 4] [2, 5, 4] ------------ = --------- [9, 2, 5] [9, 2] [2, 5, 5, 4, 0] [2, 5, 4, 0] --------------- = ------------ [9, 2, 5] [9, 2] [4, 8, 5, 2, 8] [4, 8, 2, 8] --------------- = ------------ [9, 2, 5] [9, 2] [6, 11, 5, 1, 4] [6, 11, 1, 4] ---------------- = ------------- [9, 2, 5] [9, 2] denominator=, [9, 2, 6] [6, 0, 6, 2, 3] [6, 0, 2, 3] --------------- = ------------ [9, 2, 6] [9, 2] denominator=, [9, 2, 10] [4, 1, 10, 6, 0] [4, 1, 6, 0] ---------------- = ------------ [9, 2, 10] [9, 2] denominator=, [9, 4, 7] [4, 5, 7, 4, 0] [4, 5, 4, 0] --------------- = ------------ [9, 4, 7] [9, 4] denominator=, [9, 7, 10] [2, 6, 10, 8, 0] [2, 6, 8, 0] ---------------- = ------------ [9, 7, 10] [9, 7] denominator=, [9, 8, 4] [1, 4, 4, 3, 9] [1, 4, 3, 9] --------------- = ------------ [9, 8, 4] [9, 8] [4, 8, 4, 2, 3] [4, 8, 2, 3] --------------- = ------------ [9, 8, 4] [9, 8] [6, 4, 4, 1, 6] [6, 4, 1, 6] --------------- = ------------ [9, 8, 4] [9, 8] [8, 0, 4, 0, 9] [8, 0, 0, 9] --------------- = ------------ [9, 8, 4] [9, 8] denominator=, [9, 11, 7] [2, 1, 7, 6, 0] [2, 1, 6, 0] --------------- = ------------ [9, 11, 7] [9, 11] [6, 0, 7, 3, 0] [6, 0, 3, 0] --------------- = ------------ [9, 11, 7] [9, 11] denominator=, [10, 0, 3] [1, 10, 3, 2, 8] [1, 10, 2, 8] ---------------- = ------------- [10, 0, 3] [10, 0] [5, 11, 3, 1, 4] [5, 11, 1, 4] ---------------- = ------------- [10, 0, 3] [10, 0] denominator=, [10, 2, 2] [2, 0, 2, 1, 9] [2, 0, 1, 9] --------------- = ------------ [10, 2, 2] [10, 2] [4, 4, 2, 1, 3] [4, 4, 1, 3] --------------- = ------------ [10, 2, 2] [10, 2] [6, 8, 2, 0, 9] [6, 8, 0, 9] --------------- = ------------ [10, 2, 2] [10, 2] [9, 0, 2, 0, 3] [9, 0, 0, 3] --------------- = ------------ [10, 2, 2] [10, 2] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [11, 0, 6] [2, 0, 6, 5, 4] [2, 0, 5, 4] --------------- = ------------ [11, 0, 6] [11, 0] [6, 6, 6, 2, 8] [6, 6, 2, 8] --------------- = ------------ [11, 0, 6] [11, 0] [8, 9, 6, 1, 4] [8, 9, 1, 4] --------------- = ------------ [11, 0, 6] [11, 0] denominator=, [11, 1, 7] [2, 4, 7, 6, 0] [2, 4, 6, 0] --------------- = ------------ [11, 1, 7] [11, 1] [5, 3, 7, 4, 0] [5, 3, 4, 0] --------------- = ------------ [11, 1, 7] [11, 1] [8, 2, 7, 2, 0] [8, 2, 2, 0] --------------- = ------------ [11, 1, 7] [11, 1] denominator=, [11, 4, 8] [7, 5, 8, 3, 0] [7, 5, 3, 0] --------------- = ------------ [11, 4, 8] [11, 4] denominator=, [11, 8, 5] [3, 1, 5, 4, 0] [3, 1, 4, 0] --------------- = ------------ [11, 8, 5] [11, 8] denominator=, [11, 10, 6] [7, 9, 6, 2, 3] [7, 9, 2, 3] --------------- = ------------ [11, 10, 6] [11, 10] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 4] [2, 11] [2] ---------- = ------ [1, 11, 4] [1, 4] denominator=, [1, 11, 6] [3, 11] [3] ---------- = ------ [1, 11, 6] [1, 6] denominator=, [1, 11, 8] [5, 11] [5] ---------- = ------ [1, 11, 8] [1, 8] denominator=, [1, 11, 9] [7, 11] [7] ---------- = ------ [1, 11, 9] [1, 9] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 3] [3, 11] [3] ---------- = ------ [2, 11, 3] [2, 3] denominator=, [2, 11, 6] [5, 11] [5] ---------- = ------ [2, 11, 6] [2, 6] denominator=, [2, 11, 8] [8, 11] [8] ---------- = ------ [2, 11, 8] [2, 8] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 11, 10] [1, 5, 11] [1, 5] ----------- = ------- [2, 11, 10] [2, 10] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 4] [5, 11] [5] ---------- = ------ [3, 11, 4] [3, 4] denominator=, [3, 11, 6] [7, 11] [7] ---------- = ------ [3, 11, 6] [3, 6] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 11, 9] [1, 3, 11] [1, 3] ---------- = ------ [3, 11, 9] [3, 9] denominator=, [3, 11, 10] [1, 11, 11] [1, 11] ----------- = ------- [3, 11, 10] [3, 10] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 7, 6] [1, 9, 7] [1, 9] --------- = ------ [4, 7, 6] [4, 6] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 2] [5, 11] [5] ---------- = ------ [4, 11, 2] [4, 2] denominator=, [4, 11, 6] [9, 11] [9] ---------- = ------ [4, 11, 6] [4, 6] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 11, 8] [1, 2, 11] [1, 2] ---------- = ------ [4, 11, 8] [4, 8] denominator=, [4, 11, 9] [1, 7, 11] [1, 7] ---------- = ------ [4, 11, 9] [4, 9] denominator=, [4, 11, 10] [2, 5, 11] [2, 5] ----------- = ------- [4, 11, 10] [4, 10] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 4] [1, 8, 5] [1, 8] --------- = ------ [5, 5, 4] [5, 4] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 3] [7, 11] [7] ---------- = ------ [5, 11, 3] [5, 3] denominator=, [5, 11, 4] [8, 11] [8] ---------- = ------ [5, 11, 4] [5, 4] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 11, 8] [1, 5, 11] [1, 5] ---------- = ------ [5, 11, 8] [5, 8] denominator=, [5, 11, 9] [1, 11, 11] [1, 11] ----------- = ------- [5, 11, 9] [5, 9] denominator=, [5, 11, 10] [2, 11, 11] [2, 11] ----------- = ------- [5, 11, 10] [5, 10] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 4, 3] [1, 8, 4] [1, 8] --------- = ------ [6, 4, 3] [6, 3] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 9, 8] [3, 0, 9] [3, 0] --------- = ------ [6, 9, 8] [6, 8] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 10, 8] [2, 1, 10] [2, 1] ---------- = ------ [6, 10, 8] [6, 8] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 11, 6] [1, 1, 11] [1, 1] ---------- = ------ [6, 11, 6] [6, 6] denominator=, [6, 11, 8] [1, 8, 11] [1, 8] ---------- = ------ [6, 11, 8] [6, 8] denominator=, [6, 11, 9] [2, 3, 11] [2, 3] ---------- = ------ [6, 11, 9] [6, 9] denominator=, [6, 11, 10] [3, 5, 11] [3, 5] ----------- = ------- [6, 11, 10] [6, 10] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 6] [2, 11, 7] [2, 11] ---------- = ------- [7, 7, 6] [7, 6] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 8, 6] [2, 0, 8] [2, 0] --------- = ------ [7, 8, 6] [7, 6] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 11, 6] [1, 3, 11] [1, 3] ---------- = ------ [7, 11, 6] [7, 6] denominator=, [7, 11, 8] [1, 11, 11] [1, 11] ----------- = ------- [7, 11, 8] [7, 8] denominator=, [7, 11, 9] [2, 7, 11] [2, 7] ---------- = ------ [7, 11, 9] [7, 9] denominator=, [7, 11, 10] [3, 11, 11] [3, 11] ----------- = ------- [7, 11, 10] [7, 10] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 3, 2] [1, 9, 3] [1, 9] --------- = ------ [8, 3, 2] [8, 2] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 10, 9] [4, 2, 10] [4, 2] ---------- = ------ [8, 10, 9] [8, 9] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 11, 6] [1, 5, 11] [1, 5] ---------- = ------ [8, 11, 6] [8, 6] denominator=, [8, 11, 8] [2, 2, 11] [2, 2] ---------- = ------ [8, 11, 8] [8, 8] denominator=, [8, 11, 9] [2, 11, 11] [2, 11] ----------- = ------- [8, 11, 9] [8, 9] denominator=, [8, 11, 10] [4, 5, 11] [4, 5] ----------- = ------- [8, 11, 10] [8, 10] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 5, 4] [2, 11, 5] [2, 11] ---------- = ------- [9, 5, 4] [9, 4] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 6, 4] [2, 0, 6] [2, 0] --------- = ------ [9, 6, 4] [9, 4] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 11, 4] [1, 2, 11] [1, 2] ---------- = ------ [9, 11, 4] [9, 4] denominator=, [9, 11, 6] [1, 7, 11] [1, 7] ---------- = ------ [9, 11, 6] [9, 6] denominator=, [9, 11, 7] [1, 11, 11] [1, 11] ----------- = ------- [9, 11, 7] [9, 7] denominator=, [9, 11, 8] [2, 5, 11] [2, 5] ---------- = ------ [9, 11, 8] [9, 8] denominator=, [9, 11, 9] [3, 3, 11] [3, 3] ---------- = ------ [9, 11, 9] [9, 9] denominator=, [9, 11, 10] [4, 11, 11] [4, 11] ----------- = ------- [9, 11, 10] [9, 10] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 7, 6] [4, 1, 7] [4, 1] ---------- = ------- [10, 7, 6] [10, 6] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 9, 6] [2, 3, 9] [2, 3] ---------- = ------- [10, 9, 6] [10, 6] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 8] [3, 4, 10] [3, 4] ----------- = ------- [10, 10, 8] [10, 8] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 11, 6] [1, 9, 11] [1, 9] ----------- = ------- [10, 11, 6] [10, 6] denominator=, [10, 11, 8] [2, 8, 11] [2, 8] ----------- = ------- [10, 11, 8] [10, 8] denominator=, [10, 11, 9] [3, 7, 11] [3, 7] ----------- = ------- [10, 11, 9] [10, 9] denominator=, [10, 11, 10] [5, 5, 11] [5, 5] ------------ = -------- [10, 11, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 4, 3] [3, 0, 4] [3, 0] ---------- = ------- [11, 4, 3] [11, 3] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 5, 3] [2, 1, 5] [2, 1] ---------- = ------- [11, 5, 3] [11, 3] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 9, 8] [5, 3, 9] [5, 3] ---------- = ------- [11, 9, 8] [11, 8] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 11, 3] [1, 3, 11] [1, 3] ----------- = ------- [11, 11, 3] [11, 3] denominator=, [11, 11, 4] [1, 5, 11] [1, 5] ----------- = ------- [11, 11, 4] [11, 4] denominator=, [11, 11, 6] [1, 11, 11] [1, 11] ----------- = ------- [11, 11, 6] [11, 6] denominator=, [11, 11, 8] [2, 11, 11] [2, 11] ----------- = ------- [11, 11, 8] [11, 8] denominator=, [11, 11, 9] [3, 11, 11] [3, 11] ----------- = ------- [11, 11, 9] [11, 9] denominator=, [11, 11, 10] [5, 11, 11] [5, 11] ------------ = -------- [11, 11, 10] [11, 10] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 11, 0] [11, 6] [6] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 2] [11, 7] [7] ---------- = ------ [1, 11, 2] [1, 2] denominator=, [1, 11, 4] [11, 8] [8] ---------- = ------ [1, 11, 4] [1, 4] [2, 11, 0] [2, 0] ---------- = ------ [1, 11, 4] [1, 4] denominator=, [1, 11, 6] [11, 9] [9] ---------- = ------ [1, 11, 6] [1, 6] [2, 11, 3] [2, 3] ---------- = ------ [1, 11, 6] [1, 6] denominator=, [1, 11, 8] [11, 10] [10] ---------- = ------ [1, 11, 8] [1, 8] [2, 11, 6] [2, 6] ---------- = ------ [1, 11, 8] [1, 8] [4, 11, 2] [4, 2] ---------- = ------ [1, 11, 8] [1, 8] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 11, 0] [11, 8] [8] ---------- = ------ [2, 11, 0] [2, 0] [1, 11, 4] [1, 4] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 3] [11, 9] [9] ---------- = ------ [2, 11, 3] [2, 3] [1, 11, 6] [1, 6] ---------- = ------ [2, 11, 3] [2, 3] [3, 11, 0] [3, 0] ---------- = ------ [2, 11, 3] [2, 3] denominator=, [2, 11, 6] [11, 10] [10] ---------- = ------ [2, 11, 6] [2, 6] [1, 11, 8] [1, 8] ---------- = ------ [2, 11, 6] [2, 6] [3, 11, 4] [3, 4] ---------- = ------ [2, 11, 6] [2, 6] [4, 11, 2] [4, 2] ---------- = ------ [2, 11, 6] [2, 6] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 11, 0] [11, 9] [9] ---------- = ------ [3, 11, 0] [3, 0] [1, 11, 6] [1, 6] ---------- = ------ [3, 11, 0] [3, 0] [2, 11, 3] [2, 3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 2] [1, 11, 7] [1, 7] ---------- = ------ [3, 11, 2] [3, 2] denominator=, [3, 11, 4] [11, 10] [10] ---------- = ------ [3, 11, 4] [3, 4] [1, 11, 8] [1, 8] ---------- = ------ [3, 11, 4] [3, 4] [2, 11, 6] [2, 6] ---------- = ------ [3, 11, 4] [3, 4] [4, 11, 2] [4, 2] ---------- = ------ [3, 11, 4] [3, 4] [5, 11, 0] [5, 0] ---------- = ------ [3, 11, 4] [3, 4] denominator=, [3, 11, 6] [1, 11, 9] [1, 9] ---------- = ------ [3, 11, 6] [3, 6] [5, 11, 3] [5, 3] ---------- = ------ [3, 11, 6] [3, 6] denominator=, [3, 11, 10] [1, 11, 11] [1, 11] ----------- = ------- [3, 11, 10] [3, 10] [5, 11, 9] [5, 9] ----------- = ------- [3, 11, 10] [3, 10] [9, 11, 7] [9, 7] ----------- = ------- [3, 11, 10] [3, 10] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [3, 11, 10] [3, 10] [1, 5, 11, 3] [1, 5, 3] ------------- = --------- [3, 11, 10] [3, 10] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [3, 11, 10] [3, 10] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 7, 6] [1, 9, 7, 0] [1, 9, 0] ------------ = --------- [4, 7, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 9] [1, 10, 10, 2] [1, 10, 2] -------------- = ---------- [4, 10, 9] [4, 9] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 11, 2] [11, 10] [10] ---------- = ------ [4, 11, 2] [4, 2] [1, 11, 8] [1, 8] ---------- = ------ [4, 11, 2] [4, 2] [2, 11, 6] [2, 6] ---------- = ------ [4, 11, 2] [4, 2] [3, 11, 4] [3, 4] ---------- = ------ [4, 11, 2] [4, 2] [5, 11, 0] [5, 0] ---------- = ------ [4, 11, 2] [4, 2] denominator=, [5, 5, 4] [1, 8, 5, 0] [1, 8, 0] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 9, 8] [1, 9, 9, 3] [1, 9, 3] ------------ = --------- [5, 9, 8] [5, 8] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 11, 0] [11, 10] [10] ---------- = ------ [5, 11, 0] [5, 0] [1, 11, 8] [1, 8] ---------- = ------ [5, 11, 0] [5, 0] [2, 11, 6] [2, 6] ---------- = ------ [5, 11, 0] [5, 0] [3, 11, 4] [3, 4] ---------- = ------ [5, 11, 0] [5, 0] [4, 11, 2] [4, 2] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 2] [2, 11, 7] [2, 7] ---------- = ------ [5, 11, 2] [5, 2] denominator=, [5, 11, 3] [1, 11, 9] [1, 9] ---------- = ------ [5, 11, 3] [5, 3] [3, 11, 6] [3, 6] ---------- = ------ [5, 11, 3] [5, 3] [7, 11, 0] [7, 0] ---------- = ------ [5, 11, 3] [5, 3] denominator=, [5, 11, 4] [2, 11, 8] [2, 8] ---------- = ------ [5, 11, 4] [5, 4] [8, 11, 0] [8, 0] ---------- = ------ [5, 11, 4] [5, 4] denominator=, [5, 11, 8] [2, 11, 10] [2, 10] ----------- = ------- [5, 11, 8] [5, 8] [8, 11, 6] [8, 6] ---------- = ------ [5, 11, 8] [5, 8] [1, 2, 11, 2] [1, 2, 2] ------------- = --------- [5, 11, 8] [5, 8] denominator=, [5, 11, 9] [1, 11, 11] [1, 11] ----------- = ------- [5, 11, 9] [5, 9] [3, 11, 10] [3, 10] ----------- = ------- [5, 11, 9] [5, 9] [7, 11, 8] [7, 8] ---------- = ------ [5, 11, 9] [5, 9] [9, 11, 7] [9, 7] ---------- = ------ [5, 11, 9] [5, 9] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [5, 11, 9] [5, 9] [1, 3, 11, 4] [1, 3, 4] ------------- = --------- [5, 11, 9] [5, 9] [1, 7, 11, 2] [1, 7, 2] ------------- = --------- [5, 11, 9] [5, 9] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [5, 11, 9] [5, 9] denominator=, [5, 11, 10] [2, 11, 11] [2, 11] ----------- = ------- [5, 11, 10] [5, 10] [8, 11, 9] [8, 9] ----------- = ------- [5, 11, 10] [5, 10] [1, 2, 11, 7] [1, 2, 7] ------------- = --------- [5, 11, 10] [5, 10] [1, 8, 11, 5] [1, 8, 5] ------------- = --------- [5, 11, 10] [5, 10] [2, 2, 11, 3] [2, 2, 3] ------------- = --------- [5, 11, 10] [5, 10] [2, 8, 11, 1] [2, 8, 1] ------------- = --------- [5, 11, 10] [5, 10] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 3] [1, 8, 4, 0] [1, 8, 0] ------------ = --------- [6, 4, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 8] [1, 9, 9, 4] [1, 9, 4] ------------ = --------- [6, 9, 8] [6, 8] [3, 0, 9, 0] [3, 0, 0] ------------ = --------- [6, 9, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 8] [2, 1, 10, 0] [2, 1, 0] ------------- = --------- [6, 10, 8] [6, 8] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [7, 7, 6] [1, 9, 7, 3] [1, 9, 3] ------------ = --------- [7, 7, 6] [7, 6] [2, 11, 7, 0] [2, 11, 0] ------------- = ---------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 8, 6] [2, 0, 8, 0] [2, 0, 0] ------------ = --------- [7, 8, 6] [7, 6] denominator=, [7, 10, 9] [3, 0, 10, 2] [3, 0, 2] ------------- = --------- [7, 10, 9] [7, 9] denominator=, [7, 11, 0] [1, 11, 9] [1, 9] ---------- = ------ [7, 11, 0] [7, 0] [3, 11, 6] [3, 6] ---------- = ------ [7, 11, 0] [7, 0] [5, 11, 3] [5, 3] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 2] [3, 11, 7] [3, 7] ---------- = ------ [7, 11, 2] [7, 2] denominator=, [7, 11, 6] [3, 11, 9] [3, 9] ---------- = ------ [7, 11, 6] [7, 6] [11, 11, 3] [11, 3] ----------- = ------- [7, 11, 6] [7, 6] denominator=, [7, 11, 8] [1, 11, 11] [1, 11] ----------- = ------- [7, 11, 8] [7, 8] [3, 11, 10] [3, 10] ----------- = ------- [7, 11, 8] [7, 8] [5, 11, 9] [5, 9] ---------- = ------ [7, 11, 8] [7, 8] [9, 11, 7] [9, 7] ---------- = ------ [7, 11, 8] [7, 8] [11, 11, 6] [11, 6] ----------- = ------- [7, 11, 8] [7, 8] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [7, 11, 8] [7, 8] [1, 5, 11, 3] [1, 5, 3] ------------- = --------- [7, 11, 8] [7, 8] [1, 7, 11, 2] [1, 7, 2] ------------- = --------- [7, 11, 8] [7, 8] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [7, 11, 8] [7, 8] denominator=, [7, 11, 10] [3, 11, 11] [3, 11] ----------- = ------- [7, 11, 10] [7, 10] [11, 11, 9] [11, 9] ----------- = ------- [7, 11, 10] [7, 10] [1, 7, 11, 7] [1, 7, 7] ------------- = --------- [7, 11, 10] [7, 10] [2, 3, 11, 5] [2, 3, 5] ------------- = --------- [7, 11, 10] [7, 10] [2, 11, 11, 3] [2, 11, 3] -------------- = ---------- [7, 11, 10] [7, 10] [3, 7, 11, 1] [3, 7, 1] ------------- = --------- [7, 11, 10] [7, 10] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 3, 2] [1, 9, 3, 0] [1, 9, 0] ------------ = --------- [8, 3, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 6] [2, 0, 8, 1] [2, 0, 1] ------------ = --------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 9] [1, 10, 10, 6] [1, 10, 6] -------------- = ---------- [8, 10, 9] [8, 9] [3, 0, 10, 3] [3, 0, 3] ------------- = --------- [8, 10, 9] [8, 9] [4, 2, 10, 0] [4, 2, 0] ------------- = --------- [8, 10, 9] [8, 9] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 11, 0] [2, 11, 8] [2, 8] ---------- = ------ [8, 11, 0] [8, 0] [5, 11, 4] [5, 4] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 6] [2, 11, 10] [2, 10] ----------- = ------- [8, 11, 6] [8, 6] [5, 11, 8] [5, 8] ---------- = ------ [8, 11, 6] [8, 6] [11, 11, 4] [11, 4] ----------- = ------- [8, 11, 6] [8, 6] [1, 2, 11, 2] [1, 2, 2] ------------- = --------- [8, 11, 6] [8, 6] denominator=, [8, 11, 9] [2, 11, 11] [2, 11] ----------- = ------- [8, 11, 9] [8, 9] [5, 11, 10] [5, 10] ----------- = ------- [8, 11, 9] [8, 9] [11, 11, 8] [11, 8] ----------- = ------- [8, 11, 9] [8, 9] [1, 2, 11, 7] [1, 2, 7] ------------- = --------- [8, 11, 9] [8, 9] [1, 8, 11, 5] [1, 8, 5] ------------- = --------- [8, 11, 9] [8, 9] [1, 11, 11, 4] [1, 11, 4] -------------- = ---------- [8, 11, 9] [8, 9] [2, 5, 11, 2] [2, 5, 2] ------------- = --------- [8, 11, 9] [8, 9] [2, 8, 11, 1] [2, 8, 1] ------------- = --------- [8, 11, 9] [8, 9] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 5, 4] [1, 10, 5, 2] [1, 10, 2] ------------- = ---------- [9, 5, 4] [9, 4] [2, 11, 5, 0] [2, 11, 0] ------------- = ---------- [9, 5, 4] [9, 4] denominator=, [9, 6, 4] [2, 0, 6, 0] [2, 0, 0] ------------ = --------- [9, 6, 4] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 9, 8] [3, 0, 9, 3] [3, 0, 3] ------------ = --------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 0] [4, 11, 6] [4, 6] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 4] [4, 11, 8] [4, 8] ---------- = ------ [9, 11, 4] [9, 4] [1, 2, 11, 0] [1, 2, 0] ------------- = --------- [9, 11, 4] [9, 4] denominator=, [9, 11, 6] [4, 11, 9] [4, 9] ---------- = ------ [9, 11, 6] [9, 6] [1, 2, 11, 3] [1, 2, 3] ------------- = --------- [9, 11, 6] [9, 6] denominator=, [9, 11, 7] [1, 11, 11] [1, 11] ----------- = ------- [9, 11, 7] [9, 7] [3, 11, 10] [3, 10] ----------- = ------- [9, 11, 7] [9, 7] [5, 11, 9] [5, 9] ---------- = ------ [9, 11, 7] [9, 7] [7, 11, 8] [7, 8] ---------- = ------ [9, 11, 7] [9, 7] [11, 11, 6] [11, 6] ----------- = ------- [9, 11, 7] [9, 7] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [9, 11, 7] [9, 7] [1, 3, 11, 4] [1, 3, 4] ------------- = --------- [9, 11, 7] [9, 7] [1, 5, 11, 3] [1, 5, 3] ------------- = --------- [9, 11, 7] [9, 7] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [9, 11, 7] [9, 7] [1, 11, 11, 0] [1, 11, 0] -------------- = ---------- [9, 11, 7] [9, 7] denominator=, [9, 11, 8] [4, 11, 10] [4, 10] ----------- = ------- [9, 11, 8] [9, 8] [1, 2, 11, 6] [1, 2, 6] ------------- = --------- [9, 11, 8] [9, 8] [2, 0, 11, 2] [2, 0, 2] ------------- = --------- [9, 11, 8] [9, 8] denominator=, [9, 11, 10] [4, 11, 11] [4, 11] ----------- = ------- [9, 11, 10] [9, 10] [1, 2, 11, 9] [1, 2, 9] ------------- = --------- [9, 11, 10] [9, 10] [2, 0, 11, 7] [2, 0, 7] ------------- = --------- [9, 11, 10] [9, 10] [2, 10, 11, 5] [2, 10, 5] -------------- = ---------- [9, 11, 10] [9, 10] [3, 8, 11, 3] [3, 8, 3] ------------- = --------- [9, 11, 10] [9, 10] [4, 6, 11, 1] [4, 6, 1] ------------- = --------- [9, 11, 10] [9, 10] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 7, 6] [1, 11, 7, 4] [1, 11, 4] ------------- = ---------- [10, 7, 6] [10, 6] [3, 0, 7, 2] [3, 0, 2] ------------ = --------- [10, 7, 6] [10, 6] [4, 1, 7, 0] [4, 1, 0] ------------ = --------- [10, 7, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 9, 6] [2, 3, 9, 0] [2, 3, 0] ------------ = --------- [10, 9, 6] [10, 6] denominator=, [10, 10, 8] [2, 1, 10, 4] [2, 1, 4] ------------- = --------- [10, 10, 8] [10, 8] [3, 4, 10, 0] [3, 4, 0] ------------- = --------- [10, 10, 8] [10, 8] denominator=, [10, 10, 9] [4, 2, 10, 2] [4, 2, 2] ------------- = --------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 4, 3] [3, 0, 4, 0] [3, 0, 0] ------------ = --------- [11, 4, 3] [11, 3] denominator=, [11, 5, 3] [2, 1, 5, 0] [2, 1, 0] ------------ = --------- [11, 5, 3] [11, 3] denominator=, [11, 9, 8] [2, 0, 9, 6] [2, 0, 6] ------------ = --------- [11, 9, 8] [11, 8] [3, 1, 9, 4] [3, 1, 4] ------------ = --------- [11, 9, 8] [11, 8] [4, 2, 9, 2] [4, 2, 2] ------------ = --------- [11, 9, 8] [11, 8] [5, 3, 9, 0] [5, 3, 0] ------------ = --------- [11, 9, 8] [11, 8] denominator=, [11, 11, 2] [5, 11, 7] [5, 7] ----------- = ------- [11, 11, 2] [11, 2] denominator=, [11, 11, 3] [3, 11, 9] [3, 9] ----------- = ------- [11, 11, 3] [11, 3] [7, 11, 6] [7, 6] ----------- = ------- [11, 11, 3] [11, 3] [1, 3, 11, 0] [1, 3, 0] ------------- = --------- [11, 11, 3] [11, 3] denominator=, [11, 11, 4] [2, 11, 10] [2, 10] ----------- = ------- [11, 11, 4] [11, 4] [5, 11, 8] [5, 8] ----------- = ------- [11, 11, 4] [11, 4] [8, 11, 6] [8, 6] ----------- = ------- [11, 11, 4] [11, 4] [1, 2, 11, 2] [1, 2, 2] ------------- = --------- [11, 11, 4] [11, 4] [1, 5, 11, 0] [1, 5, 0] ------------- = --------- [11, 11, 4] [11, 4] denominator=, [11, 11, 6] [1, 11, 11] [1, 11] ----------- = ------- [11, 11, 6] [11, 6] [3, 11, 10] [3, 10] ----------- = ------- [11, 11, 6] [11, 6] [5, 11, 9] [5, 9] ----------- = ------- [11, 11, 6] [11, 6] [7, 11, 8] [7, 8] ----------- = ------- [11, 11, 6] [11, 6] [9, 11, 7] [9, 7] ----------- = ------- [11, 11, 6] [11, 6] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [11, 11, 6] [11, 6] [1, 3, 11, 4] [1, 3, 4] ------------- = --------- [11, 11, 6] [11, 6] [1, 5, 11, 3] [1, 5, 3] ------------- = --------- [11, 11, 6] [11, 6] [1, 7, 11, 2] [1, 7, 2] ------------- = --------- [11, 11, 6] [11, 6] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [11, 11, 6] [11, 6] denominator=, [11, 11, 8] [2, 11, 11] [2, 11] ----------- = ------- [11, 11, 8] [11, 8] [5, 11, 10] [5, 10] ----------- = ------- [11, 11, 8] [11, 8] [8, 11, 9] [8, 9] ----------- = ------- [11, 11, 8] [11, 8] [1, 2, 11, 7] [1, 2, 7] ------------- = --------- [11, 11, 8] [11, 8] [1, 5, 11, 6] [1, 5, 6] ------------- = --------- [11, 11, 8] [11, 8] [1, 8, 11, 5] [1, 8, 5] ------------- = --------- [11, 11, 8] [11, 8] [2, 2, 11, 3] [2, 2, 3] ------------- = --------- [11, 11, 8] [11, 8] [2, 5, 11, 2] [2, 5, 2] ------------- = --------- [11, 11, 8] [11, 8] [2, 8, 11, 1] [2, 8, 1] ------------- = --------- [11, 11, 8] [11, 8] denominator=, [11, 11, 9] [3, 11, 11] [3, 11] ----------- = ------- [11, 11, 9] [11, 9] [7, 11, 10] [7, 10] ----------- = ------- [11, 11, 9] [11, 9] [1, 3, 11, 8] [1, 3, 8] ------------- = --------- [11, 11, 9] [11, 9] [1, 7, 11, 7] [1, 7, 7] ------------- = --------- [11, 11, 9] [11, 9] [2, 3, 11, 5] [2, 3, 5] ------------- = --------- [11, 11, 9] [11, 9] [2, 7, 11, 4] [2, 7, 4] ------------- = --------- [11, 11, 9] [11, 9] [3, 3, 11, 2] [3, 3, 2] ------------- = --------- [11, 11, 9] [11, 9] [3, 7, 11, 1] [3, 7, 1] ------------- = --------- [11, 11, 9] [11, 9] denominator=, [11, 11, 10] [5, 11, 11] [5, 11] ------------ = -------- [11, 11, 10] [11, 10] [1, 5, 11, 9] [1, 5, 9] ------------- = --------- [11, 11, 10] [11, 10] [2, 5, 11, 7] [2, 5, 7] ------------- = --------- [11, 11, 10] [11, 10] [3, 5, 11, 5] [3, 5, 5] ------------- = --------- [11, 11, 10] [11, 10] [4, 5, 11, 3] [4, 5, 3] ------------- = --------- [11, 11, 10] [11, 10] [5, 5, 11, 1] [5, 5, 1] ------------- = --------- [11, 11, 10] [11, 10] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [5, 3, 9] [3, 9] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [7, 4, 8] [4, 8] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 3] [7, 5, 10] [5, 10] ---------- = ------- [1, 7, 3] [1, 3] [2, 7, 0, 2] [2, 0, 2] ------------ = --------- [1, 7, 3] [1, 3] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 3] [9, 6, 9] [6, 9] --------- = ------ [1, 9, 3] [1, 3] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 2] [10, 6, 8] [6, 8] ---------- = ------ [1, 10, 2] [1, 2] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 1] [8, 6, 8] [6, 8] --------- = ------ [2, 8, 1] [2, 1] [1, 8, 3, 10] [1, 3, 10] ------------- = ---------- [2, 8, 1] [2, 1] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [10, 7, 6] [7, 6] ---------- = ------ [2, 10, 0] [2, 0] [1, 10, 3, 9] [1, 3, 9] ------------- = --------- [2, 10, 0] [2, 0] denominator=, [2, 10, 4] [10, 8, 9] [8, 9] ---------- = ------ [2, 10, 4] [2, 4] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] denominator=, [2, 10, 10] [6, 10, 8, 9] [6, 8, 9] ------------- = --------- [2, 10, 10] [2, 10] [1, 2, 10, 6, 3] [1, 2, 6, 3] ---------------- = ------------ [2, 10, 10] [2, 10] [1, 10, 10, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [2, 10, 10] [2, 10] [2, 6, 10, 1, 3] [2, 6, 1, 3] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 7, 6] [8, 7, 3, 9] [8, 3, 9] ------------ = --------- [3, 7, 6] [3, 6] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 11] [6, 0, 11] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [1, 10, 6, 8] [1, 6, 8] ------------- = --------- [4, 10, 0] [4, 0] denominator=, [4, 10, 3] [1, 10, 7, 10] [1, 7, 10] -------------- = ---------- [4, 10, 3] [4, 3] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 10, 9] [1, 10, 10, 2] [1, 10, 2] -------------- = ---------- [4, 10, 9] [4, 9] [7, 10, 7, 10] [7, 7, 10] -------------- = ---------- [4, 10, 9] [4, 9] [10, 10, 6, 8] [10, 6, 8] -------------- = ---------- [4, 10, 9] [4, 9] [1, 4, 10, 4, 4] [1, 4, 4, 4] ---------------- = ------------ [4, 10, 9] [4, 9] [1, 7, 10, 3, 2] [1, 7, 3, 2] ---------------- = ------------ [4, 10, 9] [4, 9] [2, 1, 10, 0, 10] [2, 1, 0, 10] ----------------- = ------------- [4, 10, 9] [4, 9] denominator=, [4, 11, 2] [11, 10, 0] [10, 0] ----------- = ------- [4, 11, 2] [4, 2] [1, 11, 8, 0] [1, 8, 0] ------------- = --------- [4, 11, 2] [4, 2] [2, 11, 6, 0] [2, 6, 0] ------------- = --------- [4, 11, 2] [4, 2] [3, 11, 4, 0] [3, 4, 0] ------------- = --------- [4, 11, 2] [4, 2] [5, 11, 0, 0] [5, 0, 0] ------------- = --------- [4, 11, 2] [4, 2] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 8, 6] [1, 0, 8, 2, 8] [1, 0, 2, 8] --------------- = ------------ [5, 8, 6] [5, 6] denominator=, [5, 9, 0] [1, 9, 6, 9] [1, 6, 9] ------------ = --------- [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 9, 6] [1, 1, 9, 0, 9] [1, 1, 0, 9] --------------- = ------------ [5, 9, 6] [5, 6] denominator=, [5, 9, 8] [1, 9, 9, 3] [1, 9, 3] ------------ = --------- [5, 9, 8] [5, 8] [9, 9, 6, 9] [9, 6, 9] ------------ = --------- [5, 9, 8] [5, 8] [1, 1, 9, 5, 6] [1, 1, 5, 6] --------------- = ------------ [5, 9, 8] [5, 8] [1, 5, 9, 4, 3] [1, 5, 4, 3] --------------- = ------------ [5, 9, 8] [5, 8] [2, 1, 9, 1, 9] [2, 1, 1, 9] --------------- = ------------ [5, 9, 8] [5, 8] [2, 5, 9, 0, 6] [2, 5, 0, 6] --------------- = ------------ [5, 9, 8] [5, 8] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [6, 4, 3] [1, 1, 4, 1, 6] [1, 1, 1, 6] --------------- = ------------ [6, 4, 3] [6, 3] [1, 8, 4, 0, 0] [1, 8, 0, 0] --------------- = ------------ [6, 4, 3] [6, 3] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 11] [8, 1, 11] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 10] [10, 0, 10] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 10] [9, 2, 10] ------------- = ---------- [6, 6, 4] [6, 4] [1, 3, 6, 0, 6] [1, 3, 0, 6] --------------- = ------------ [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 8] [1, 9, 9, 4] [1, 9, 4] ------------ = --------- [6, 9, 8] [6, 8] [11, 9, 6, 8] [11, 6, 8] ------------- = ---------- [6, 9, 8] [6, 8] [1, 4, 9, 5, 4] [1, 4, 5, 4] --------------- = ------------ [6, 9, 8] [6, 8] [1, 9, 9, 4, 0] [1, 9, 4, 0] --------------- = ------------ [6, 9, 8] [6, 8] [2, 2, 9, 2, 8] [2, 2, 2, 8] --------------- = ------------ [6, 9, 8] [6, 8] [3, 0, 9, 0, 0] [3, 0, 0, 0] --------------- = ------------ [6, 9, 8] [6, 8] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [7, 3, 0] [2, 3, 2, 3] [2, 2, 3] ------------ = --------- [7, 3, 0] [7, 0] denominator=, [7, 3, 1] [3, 3, 2, 3] [3, 2, 3] ------------ = --------- [7, 3, 1] [7, 1] denominator=, [7, 3, 2] [1, 5, 3, 0, 3] [1, 5, 0, 3] --------------- = ------------ [7, 3, 2] [7, 2] denominator=, [7, 4, 3] [1, 4, 4, 1, 4] [1, 4, 1, 4] --------------- = ------------ [7, 4, 3] [7, 3] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 8, 6] [2, 0, 8, 0, 0] [2, 0, 0, 0] --------------- = ------------ [7, 8, 6] [7, 6] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [11, 10, 6] [10, 6] ----------- = ------- [7, 11, 0] [7, 0] [2, 11, 7, 6] [2, 7, 6] ------------- = --------- [7, 11, 0] [7, 0] [4, 11, 4, 6] [4, 4, 6] ------------- = --------- [7, 11, 0] [7, 0] [6, 11, 1, 6] [6, 1, 6] ------------- = --------- [7, 11, 0] [7, 0] denominator=, [7, 11, 2] [11, 10, 9] [10, 9] ----------- = ------- [7, 11, 2] [7, 2] [2, 11, 8, 3] [2, 8, 3] ------------- = --------- [7, 11, 2] [7, 2] [4, 11, 5, 9] [4, 5, 9] ------------- = --------- [7, 11, 2] [7, 2] [6, 11, 3, 3] [6, 3, 3] ------------- = --------- [7, 11, 2] [7, 2] [8, 11, 0, 9] [8, 0, 9] ------------- = --------- [7, 11, 2] [7, 2] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 6] [11, 11, 3] [11, 3] ----------- = ------- [7, 11, 6] [7, 6] [2, 11, 9, 9] [2, 9, 9] ------------- = --------- [7, 11, 6] [7, 6] [4, 11, 8, 3] [4, 8, 3] ------------- = --------- [7, 11, 6] [7, 6] [6, 11, 6, 9] [6, 6, 9] ------------- = --------- [7, 11, 6] [7, 6] [8, 11, 5, 3] [8, 5, 3] ------------- = --------- [7, 11, 6] [7, 6] [10, 11, 3, 9] [10, 3, 9] -------------- = ---------- [7, 11, 6] [7, 6] [1, 0, 11, 2, 3] [1, 0, 2, 3] ---------------- = ------------ [7, 11, 6] [7, 6] [1, 2, 11, 0, 9] [1, 2, 0, 9] ---------------- = ------------ [7, 11, 6] [7, 6] denominator=, [7, 11, 8] [11, 11, 6] [11, 6] ----------- = ------- [7, 11, 8] [7, 8] [2, 11, 10, 6] [2, 10, 6] -------------- = ---------- [7, 11, 8] [7, 8] [4, 11, 9, 6] [4, 9, 6] ------------- = --------- [7, 11, 8] [7, 8] [6, 11, 8, 6] [6, 8, 6] ------------- = --------- [7, 11, 8] [7, 8] [8, 11, 7, 6] [8, 7, 6] ------------- = --------- [7, 11, 8] [7, 8] [10, 11, 6, 6] [10, 6, 6] -------------- = ---------- [7, 11, 8] [7, 8] [1, 0, 11, 5, 6] [1, 0, 5, 6] ---------------- = ------------ [7, 11, 8] [7, 8] [1, 2, 11, 4, 6] [1, 2, 4, 6] ---------------- = ------------ [7, 11, 8] [7, 8] [1, 4, 11, 3, 6] [1, 4, 3, 6] ---------------- = ------------ [7, 11, 8] [7, 8] [1, 6, 11, 2, 6] [1, 6, 2, 6] ---------------- = ------------ [7, 11, 8] [7, 8] [1, 8, 11, 1, 6] [1, 8, 1, 6] ---------------- = ------------ [7, 11, 8] [7, 8] [1, 10, 11, 0, 6] [1, 10, 0, 6] ----------------- = ------------- [7, 11, 8] [7, 8] denominator=, [7, 11, 10] [11, 11, 9] [11, 9] ----------- = ------- [7, 11, 10] [7, 10] [2, 11, 11, 3] [2, 11, 3] -------------- = ---------- [7, 11, 10] [7, 10] [4, 11, 10, 9] [4, 10, 9] -------------- = ---------- [7, 11, 10] [7, 10] [6, 11, 10, 3] [6, 10, 3] -------------- = ---------- [7, 11, 10] [7, 10] [8, 11, 9, 9] [8, 9, 9] ------------- = --------- [7, 11, 10] [7, 10] [10, 11, 9, 3] [10, 9, 3] -------------- = ---------- [7, 11, 10] [7, 10] [1, 0, 11, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 2, 11, 8, 3] [1, 2, 8, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 4, 11, 7, 9] [1, 4, 7, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 6, 11, 7, 3] [1, 6, 7, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 8, 11, 6, 9] [1, 8, 6, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 10, 11, 6, 3] [1, 10, 6, 3] ----------------- = ------------- [7, 11, 10] [7, 10] [2, 0, 11, 5, 9] [2, 0, 5, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 2, 11, 5, 3] [2, 2, 5, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 4, 11, 4, 9] [2, 4, 4, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 6, 11, 4, 3] [2, 6, 4, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 8, 11, 3, 9] [2, 8, 3, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 10, 11, 3, 3] [2, 10, 3, 3] ----------------- = ------------- [7, 11, 10] [7, 10] [3, 0, 11, 2, 9] [3, 0, 2, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [3, 2, 11, 2, 3] [3, 2, 2, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [3, 4, 11, 1, 9] [3, 4, 1, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [3, 6, 11, 1, 3] [3, 6, 1, 3] ---------------- = ------------ [7, 11, 10] [7, 10] [3, 8, 11, 0, 9] [3, 8, 0, 9] ---------------- = ------------ [7, 11, 10] [7, 10] [3, 10, 11, 0, 3] [3, 10, 0, 3] ----------------- = ------------- [7, 11, 10] [7, 10] denominator=, [8, 2, 0] [3, 2, 1, 4] [3, 1, 4] ------------ = --------- [8, 2, 0] [8, 0] denominator=, [8, 3, 2] [1, 9, 3, 0, 0] [1, 9, 0, 0] --------------- = ------------ [8, 3, 2] [8, 2] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 11] [10, 2, 11] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 1, 10] [1, 0, 1, 10] ---------------- = ------------- [8, 8, 4] [8, 4] [1, 2, 8, 0, 9] [1, 2, 0, 9] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [1, 0, 8, 4, 9] [1, 0, 4, 9] --------------- = ------------ [8, 8, 6] [8, 6] [1, 8, 8, 2, 3] [1, 8, 2, 3] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 9] [1, 10, 10, 6] [1, 10, 6] -------------- = ---------- [8, 10, 9] [8, 9] [1, 3, 10, 7, 6] [1, 3, 7, 6] ---------------- = ------------ [8, 10, 9] [8, 9] [1, 10, 10, 6, 0] [1, 10, 6, 0] ----------------- = ------------- [8, 10, 9] [8, 9] [2, 5, 10, 4, 6] [2, 5, 4, 6] ---------------- = ------------ [8, 10, 9] [8, 9] [3, 0, 10, 3, 0] [3, 0, 3, 0] ---------------- = ------------ [8, 10, 9] [8, 9] [3, 7, 10, 1, 6] [3, 7, 1, 6] ---------------- = ------------ [8, 10, 9] [8, 9] [4, 2, 10, 0, 0] [4, 2, 0, 0] ---------------- = ------------ [8, 10, 9] [8, 9] denominator=, [8, 11, 0] [11, 10, 8] [10, 8] ----------- = ------- [8, 11, 0] [8, 0] [1, 11, 9, 4] [1, 9, 4] ------------- = --------- [8, 11, 0] [8, 0] [3, 11, 6, 8] [3, 6, 8] ------------- = --------- [8, 11, 0] [8, 0] [4, 11, 5, 4] [4, 5, 4] ------------- = --------- [8, 11, 0] [8, 0] [6, 11, 2, 8] [6, 2, 8] ------------- = --------- [8, 11, 0] [8, 0] [7, 11, 1, 4] [7, 1, 4] ------------- = --------- [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 11, 6] [11, 11, 4] [11, 4] ----------- = ------- [8, 11, 6] [8, 6] [1, 11, 10, 8] [1, 10, 8] -------------- = ---------- [8, 11, 6] [8, 6] [3, 11, 9, 4] [3, 9, 4] ------------- = --------- [8, 11, 6] [8, 6] [4, 11, 8, 8] [4, 8, 8] ------------- = --------- [8, 11, 6] [8, 6] [6, 11, 7, 4] [6, 7, 4] ------------- = --------- [8, 11, 6] [8, 6] [7, 11, 6, 8] [7, 6, 8] ------------- = --------- [8, 11, 6] [8, 6] [9, 11, 5, 4] [9, 5, 4] ------------- = --------- [8, 11, 6] [8, 6] [10, 11, 4, 8] [10, 4, 8] -------------- = ---------- [8, 11, 6] [8, 6] [1, 0, 11, 3, 4] [1, 0, 3, 4] ---------------- = ------------ [8, 11, 6] [8, 6] [1, 1, 11, 2, 8] [1, 1, 2, 8] ---------------- = ------------ [8, 11, 6] [8, 6] [1, 3, 11, 1, 4] [1, 3, 1, 4] ---------------- = ------------ [8, 11, 6] [8, 6] [1, 4, 11, 0, 8] [1, 4, 0, 8] ---------------- = ------------ [8, 11, 6] [8, 6] denominator=, [8, 11, 9] [11, 11, 8] [11, 8] ----------- = ------- [8, 11, 9] [8, 9] [1, 11, 11, 4] [1, 11, 4] -------------- = ---------- [8, 11, 9] [8, 9] [3, 11, 10, 8] [3, 10, 8] -------------- = ---------- [8, 11, 9] [8, 9] [4, 11, 10, 4] [4, 10, 4] -------------- = ---------- [8, 11, 9] [8, 9] [6, 11, 9, 8] [6, 9, 8] ------------- = --------- [8, 11, 9] [8, 9] [7, 11, 9, 4] [7, 9, 4] ------------- = --------- [8, 11, 9] [8, 9] [9, 11, 8, 8] [9, 8, 8] ------------- = --------- [8, 11, 9] [8, 9] [10, 11, 8, 4] [10, 8, 4] -------------- = ---------- [8, 11, 9] [8, 9] [1, 0, 11, 7, 8] [1, 0, 7, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 1, 11, 7, 4] [1, 1, 7, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 3, 11, 6, 8] [1, 3, 6, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 4, 11, 6, 4] [1, 4, 6, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 6, 11, 5, 8] [1, 6, 5, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 7, 11, 5, 4] [1, 7, 5, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 9, 11, 4, 8] [1, 9, 4, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [1, 10, 11, 4, 4] [1, 10, 4, 4] ----------------- = ------------- [8, 11, 9] [8, 9] [2, 0, 11, 3, 8] [2, 0, 3, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 1, 11, 3, 4] [2, 1, 3, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 3, 11, 2, 8] [2, 3, 2, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 4, 11, 2, 4] [2, 4, 2, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 6, 11, 1, 8] [2, 6, 1, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 7, 11, 1, 4] [2, 7, 1, 4] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 9, 11, 0, 8] [2, 9, 0, 8] ---------------- = ------------ [8, 11, 9] [8, 9] [2, 10, 11, 0, 4] [2, 10, 0, 4] ----------------- = ------------- [8, 11, 9] [8, 9] denominator=, [9, 5, 4] [1, 10, 5, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [9, 5, 4] [9, 4] denominator=, [9, 6, 2] [2, 6, 5, 4] [2, 5, 4] ------------ = --------- [9, 6, 2] [9, 2] denominator=, [9, 6, 4] [4, 6, 5, 4] [4, 5, 4] ------------ = --------- [9, 6, 4] [9, 4] [1, 2, 6, 2, 8] [1, 2, 2, 8] --------------- = ------------ [9, 6, 4] [9, 4] [1, 7, 6, 1, 4] [1, 7, 1, 4] --------------- = ------------ [9, 6, 4] [9, 4] [2, 0, 6, 0, 0] [2, 0, 0, 0] --------------- = ------------ [9, 6, 4] [9, 4] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [1, 0, 9, 0, 11] [1, 0, 0, 11] ---------------- = ------------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [1, 0, 9, 4, 10] [1, 0, 4, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 3, 9, 3, 8] [1, 3, 3, 8] --------------- = ------------ [9, 9, 6] [9, 6] [1, 9, 9, 1, 4] [1, 9, 1, 4] --------------- = ------------ [9, 9, 6] [9, 6] [2, 0, 9, 0, 2] [2, 0, 0, 2] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 11, 7] [11, 11, 6] [11, 6] ----------- = ------- [9, 11, 7] [9, 7] [1, 11, 11, 0] [1, 11, 0] -------------- = ---------- [9, 11, 7] [9, 7] [2, 11, 10, 6] [2, 10, 6] -------------- = ---------- [9, 11, 7] [9, 7] [3, 11, 10, 0] [3, 10, 0] -------------- = ---------- [9, 11, 7] [9, 7] [5, 11, 9, 0] [5, 9, 0] ------------- = --------- [9, 11, 7] [9, 7] [6, 11, 8, 6] [6, 8, 6] ------------- = --------- [9, 11, 7] [9, 7] [7, 11, 8, 0] [7, 8, 0] ------------- = --------- [9, 11, 7] [9, 7] [8, 11, 7, 6] [8, 7, 6] ------------- = --------- [9, 11, 7] [9, 7] [10, 11, 6, 6] [10, 6, 6] -------------- = ---------- [9, 11, 7] [9, 7] [11, 11, 6, 0] [11, 6, 0] -------------- = ---------- [9, 11, 7] [9, 7] [1, 0, 11, 5, 6] [1, 0, 5, 6] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 1, 11, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 3, 11, 4, 0] [1, 3, 4, 0] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 4, 11, 3, 6] [1, 4, 3, 6] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 5, 11, 3, 0] [1, 5, 3, 0] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 6, 11, 2, 6] [1, 6, 2, 6] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 8, 11, 1, 6] [1, 8, 1, 6] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 9, 11, 1, 0] [1, 9, 1, 0] ---------------- = ------------ [9, 11, 7] [9, 7] [1, 10, 11, 0, 6] [1, 10, 0, 6] ----------------- = ------------- [9, 11, 7] [9, 7] [1, 11, 11, 0, 0] [1, 11, 0, 0] ----------------- = ------------- [9, 11, 7] [9, 7] denominator=, [10, 2, 0] [3, 2, 1, 6] [3, 1, 6] ------------ = --------- [10, 2, 0] [10, 0] denominator=, [10, 2, 2] [2, 0, 2, 1, 9] [2, 0, 1, 9] --------------- = ------------ [10, 2, 2] [10, 2] [4, 4, 2, 1, 3] [4, 4, 1, 3] --------------- = ------------ [10, 2, 2] [10, 2] [6, 8, 2, 0, 9] [6, 8, 0, 9] --------------- = ------------ [10, 2, 2] [10, 2] [9, 0, 2, 0, 3] [9, 0, 0, 3] --------------- = ------------ [10, 2, 2] [10, 2] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 7, 6] [1, 11, 7, 4, 0] [1, 11, 4, 0] ---------------- = ------------- [10, 7, 6] [10, 6] [3, 0, 7, 2, 0] [3, 0, 2, 0] --------------- = ------------ [10, 7, 6] [10, 6] denominator=, [10, 9, 6] [2, 3, 9, 0, 0] [2, 3, 0, 0] --------------- = ------------ [10, 9, 6] [10, 6] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [1, 3, 10, 0, 10] [1, 3, 0, 10] ----------------- = ------------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [1, 0, 10, 3, 11] [1, 0, 3, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 2, 10] [1, 2, 2, 10] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 1, 9] [1, 4, 1, 9] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 6, 10, 0, 8] [1, 6, 0, 8] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [1, 3, 10, 3, 9] [1, 3, 3, 9] ---------------- = ------------ [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [1, 3, 10, 6, 8] [1, 3, 6, 8] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 1, 10, 4, 0] [2, 1, 4, 0] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 11, 10, 1, 4] [2, 11, 1, 4] ----------------- = ------------- [10, 10, 8] [10, 8] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [11, 4, 3] [3, 0, 4, 0, 0] [3, 0, 0, 0] --------------- = ------------ [11, 4, 3] [11, 3] denominator=, [11, 5, 0] [4, 5, 3, 4] [4, 3, 4] ------------ = --------- [11, 5, 0] [11, 0] denominator=, [11, 5, 1] [2, 5, 4, 6] [2, 4, 6] ------------ = --------- [11, 5, 1] [11, 1] [5, 5, 3, 4] [5, 3, 4] ------------ = --------- [11, 5, 1] [11, 1] [8, 5, 2, 2] [8, 2, 2] ------------ = --------- [11, 5, 1] [11, 1] denominator=, [11, 5, 3] [4, 5, 4, 6] [4, 4, 6] ------------ = --------- [11, 5, 3] [11, 3] [1, 6, 5, 1, 6] [1, 6, 1, 6] --------------- = ------------ [11, 5, 3] [11, 3] [2, 1, 5, 0, 0] [2, 1, 0, 0] --------------- = ------------ [11, 5, 3] [11, 3] denominator=, [11, 7, 0] [3, 7, 5, 3] [3, 5, 3] ------------ = --------- [11, 7, 0] [11, 0] denominator=, [11, 7, 4] [3, 7, 6, 6] [3, 6, 6] ------------ = --------- [11, 7, 4] [11, 4] [7, 7, 5, 3] [7, 5, 3] ------------ = --------- [11, 7, 4] [11, 4] [1, 3, 7, 2, 9] [1, 3, 2, 9] --------------- = ------------ [11, 7, 4] [11, 4] [1, 7, 7, 1, 6] [1, 7, 1, 6] --------------- = ------------ [11, 7, 4] [11, 4] [1, 11, 7, 0, 3] [1, 11, 0, 3] ---------------- = ------------- [11, 7, 4] [11, 4] denominator=, [11, 7, 6] [2, 3, 7, 3, 9] [2, 3, 3, 9] --------------- = ------------ [11, 7, 6] [11, 6] denominator=, [11, 9, 8] [2, 0, 9, 6, 0] [2, 0, 6, 0] --------------- = ------------ [11, 9, 8] [11, 8] [3, 1, 9, 4, 0] [3, 1, 4, 0] --------------- = ------------ [11, 9, 8] [11, 8] [4, 2, 9, 2, 0] [4, 2, 2, 0] --------------- = ------------ [11, 9, 8] [11, 8] [5, 3, 9, 0, 0] [5, 3, 0, 0] --------------- = ------------ [11, 9, 8] [11, 8] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 3, 9] [1, 5] [1] --------- = ------ [5, 3, 9] [3, 9] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 4] [1, 8, 5] [1, 8] --------- = ------ [5, 5, 4] [5, 4] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 4, 8] [1, 7] [1] --------- = ------ [7, 4, 8] [4, 8] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 6] [2, 11, 7] [2, 11] ---------- = ------- [7, 7, 6] [7, 6] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 7, 6] [2, 10] [2] ---------- = ------ [10, 7, 6] [7, 6] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 8] [3, 4, 10] [3, 4] ----------- = ------- [10, 10, 8] [10, 8] denominator=, [11, 6, 0] [1, 11] [1] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 8, 0] [2, 11] [2] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [3, 11] [3] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [5, 11] [5] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 10, 6] [7, 11] [7] ----------- = ------- [11, 10, 6] [10, 6] denominator=, [11, 10, 8] [8, 11] [8] ----------- = ------- [11, 10, 8] [10, 8] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 11, 3] [1, 3, 11] [1, 3] ----------- = ------- [11, 11, 3] [11, 3] denominator=, [11, 11, 4] [1, 5, 11] [1, 5] ----------- = ------- [11, 11, 4] [11, 4] denominator=, [11, 11, 6] [1, 11, 11] [1, 11] ----------- = ------- [11, 11, 6] [11, 6] denominator=, [11, 11, 8] [2, 11, 11] [2, 11] ----------- = ------- [11, 11, 8] [11, 8] denominator=, [11, 11, 9] [3, 11, 11] [3, 11] ----------- = ------- [11, 11, 9] [11, 9] denominator=, [11, 11, 10] [5, 11, 11] [5, 11] ------------ = -------- [11, 11, 10] [11, 10] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 3, 9] [1, 5, 0] [1, 0] --------- = ------ [5, 3, 9] [3, 9] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 4] [1, 8, 5, 0] [1, 8, 0] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 4, 8] [1, 7, 0] [1, 0] --------- = ------ [7, 4, 8] [4, 8] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 5, 10] [1, 7, 3] [1, 3] ---------- = ------- [7, 5, 10] [5, 10] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 6] [1, 9, 7, 3] [1, 9, 3] ------------ = --------- [7, 7, 6] [7, 6] [2, 11, 7, 0] [2, 11, 0] ------------- = ---------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 11, 0] [7, 11] [11] ---------- = ------- [7, 11, 0] [11, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 6, 8] [2, 8, 1] [2, 1] --------- = ------ [8, 6, 8] [6, 8] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 6] [2, 0, 8, 1] [2, 0, 1] ------------ = --------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 6, 9] [1, 9, 3] [1, 3] --------- = ------ [9, 6, 9] [6, 9] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 8] [3, 0, 9, 3] [3, 0, 3] ------------ = --------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 0] [9, 11] [11] ---------- = ------- [9, 11, 0] [11, 0] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 6, 8] [1, 10, 2] [1, 2] ---------- = ------ [10, 6, 8] [6, 8] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 7, 6] [2, 10, 0] [2, 0] ---------- = ------ [10, 7, 6] [7, 6] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 9] [2, 10, 4] [2, 4] ---------- = ------ [10, 8, 9] [8, 9] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 8] [2, 1, 10, 4] [2, 1, 4] ------------- = --------- [10, 10, 8] [10, 8] [3, 4, 10, 0] [3, 4, 0] ------------- = --------- [10, 10, 8] [10, 8] denominator=, [10, 10, 9] [4, 2, 10, 2] [4, 2, 2] ------------- = --------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] [1, 11, 0] [1, 0] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 6, 6] [1, 11, 1] [1, 1] ---------- = ------ [11, 6, 6] [6, 6] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] [1, 11, 2] [1, 2] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 7, 6] [1, 11, 3] [1, 3] ---------- = ------ [11, 7, 6] [7, 6] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] [1, 11, 4] [1, 4] ---------- = ------ [11, 8, 0] [8, 0] [2, 11, 0] [2, 0] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 8, 4] [2, 11, 1] [2, 1] ---------- = ------ [11, 8, 4] [8, 4] denominator=, [11, 8, 6] [1, 11, 5] [1, 5] ---------- = ------ [11, 8, 6] [8, 6] denominator=, [11, 8, 8] [2, 11, 2] [2, 2] ---------- = ------ [11, 8, 8] [8, 8] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] [1, 11, 6] [1, 6] ---------- = ------ [11, 9, 0] [9, 0] [2, 11, 3] [2, 3] ---------- = ------ [11, 9, 0] [9, 0] [3, 11, 0] [3, 0] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 9, 3] [3, 11, 1] [3, 1] ---------- = ------ [11, 9, 3] [9, 3] denominator=, [11, 9, 4] [2, 11, 4] [2, 4] ---------- = ------ [11, 9, 4] [9, 4] denominator=, [11, 9, 6] [1, 11, 7] [1, 7] ---------- = ------ [11, 9, 6] [9, 6] [3, 11, 2] [3, 2] ---------- = ------ [11, 9, 6] [9, 6] denominator=, [11, 9, 8] [2, 11, 5] [2, 5] ---------- = ------ [11, 9, 8] [9, 8] denominator=, [11, 9, 9] [3, 11, 3] [3, 3] ---------- = ------ [11, 9, 9] [9, 9] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] [1, 11, 8] [1, 8] ----------- = ------- [11, 10, 0] [10, 0] [2, 11, 6] [2, 6] ----------- = ------- [11, 10, 0] [10, 0] [3, 11, 4] [3, 4] ----------- = ------- [11, 10, 0] [10, 0] [4, 11, 2] [4, 2] ----------- = ------- [11, 10, 0] [10, 0] [5, 11, 0] [5, 0] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 10, 2] [5, 11, 1] [5, 1] ----------- = ------- [11, 10, 2] [10, 2] denominator=, [11, 10, 3] [3, 11, 5] [3, 5] ----------- = ------- [11, 10, 3] [10, 3] denominator=, [11, 10, 4] [2, 11, 7] [2, 7] ----------- = ------- [11, 10, 4] [10, 4] [5, 11, 2] [5, 2] ----------- = ------- [11, 10, 4] [10, 4] denominator=, [11, 10, 6] [1, 11, 9] [1, 9] ----------- = ------- [11, 10, 6] [10, 6] [3, 11, 6] [3, 6] ----------- = ------- [11, 10, 6] [10, 6] [5, 11, 3] [5, 3] ----------- = ------- [11, 10, 6] [10, 6] [7, 11, 0] [7, 0] ----------- = ------- [11, 10, 6] [10, 6] denominator=, [11, 10, 8] [2, 11, 8] [2, 8] ----------- = ------- [11, 10, 8] [10, 8] [5, 11, 4] [5, 4] ----------- = ------- [11, 10, 8] [10, 8] [8, 11, 0] [8, 0] ----------- = ------- [11, 10, 8] [10, 8] denominator=, [11, 10, 9] [3, 11, 7] [3, 7] ----------- = ------- [11, 10, 9] [10, 9] [7, 11, 2] [7, 2] ----------- = ------- [11, 10, 9] [10, 9] denominator=, [11, 10, 10] [5, 11, 5] [5, 5] ------------ = -------- [11, 10, 10] [10, 10] denominator=, [11, 11, 2] [5, 11, 7] [5, 7] ----------- = ------- [11, 11, 2] [11, 2] denominator=, [11, 11, 3] [3, 11, 9] [3, 9] ----------- = ------- [11, 11, 3] [11, 3] [7, 11, 6] [7, 6] ----------- = ------- [11, 11, 3] [11, 3] [1, 3, 11, 0] [1, 3, 0] ------------- = --------- [11, 11, 3] [11, 3] denominator=, [11, 11, 4] [2, 11, 10] [2, 10] ----------- = ------- [11, 11, 4] [11, 4] [5, 11, 8] [5, 8] ----------- = ------- [11, 11, 4] [11, 4] [8, 11, 6] [8, 6] ----------- = ------- [11, 11, 4] [11, 4] [1, 2, 11, 2] [1, 2, 2] ------------- = --------- [11, 11, 4] [11, 4] [1, 5, 11, 0] [1, 5, 0] ------------- = --------- [11, 11, 4] [11, 4] denominator=, [11, 11, 6] [1, 11, 11] [1, 11] ----------- = ------- [11, 11, 6] [11, 6] [3, 11, 10] [3, 10] ----------- = ------- [11, 11, 6] [11, 6] [5, 11, 9] [5, 9] ----------- = ------- [11, 11, 6] [11, 6] [7, 11, 8] [7, 8] ----------- = ------- [11, 11, 6] [11, 6] [9, 11, 7] [9, 7] ----------- = ------- [11, 11, 6] [11, 6] [1, 1, 11, 5] [1, 1, 5] ------------- = --------- [11, 11, 6] [11, 6] [1, 3, 11, 4] [1, 3, 4] ------------- = --------- [11, 11, 6] [11, 6] [1, 5, 11, 3] [1, 5, 3] ------------- = --------- [11, 11, 6] [11, 6] [1, 7, 11, 2] [1, 7, 2] ------------- = --------- [11, 11, 6] [11, 6] [1, 9, 11, 1] [1, 9, 1] ------------- = --------- [11, 11, 6] [11, 6] denominator=, [11, 11, 8] [2, 11, 11] [2, 11] ----------- = ------- [11, 11, 8] [11, 8] [5, 11, 10] [5, 10] ----------- = ------- [11, 11, 8] [11, 8] [8, 11, 9] [8, 9] ----------- = ------- [11, 11, 8] [11, 8] [1, 2, 11, 7] [1, 2, 7] ------------- = --------- [11, 11, 8] [11, 8] [1, 5, 11, 6] [1, 5, 6] ------------- = --------- [11, 11, 8] [11, 8] [1, 8, 11, 5] [1, 8, 5] ------------- = --------- [11, 11, 8] [11, 8] [2, 2, 11, 3] [2, 2, 3] ------------- = --------- [11, 11, 8] [11, 8] [2, 5, 11, 2] [2, 5, 2] ------------- = --------- [11, 11, 8] [11, 8] [2, 8, 11, 1] [2, 8, 1] ------------- = --------- [11, 11, 8] [11, 8] denominator=, [11, 11, 9] [3, 11, 11] [3, 11] ----------- = ------- [11, 11, 9] [11, 9] [7, 11, 10] [7, 10] ----------- = ------- [11, 11, 9] [11, 9] [1, 3, 11, 8] [1, 3, 8] ------------- = --------- [11, 11, 9] [11, 9] [1, 7, 11, 7] [1, 7, 7] ------------- = --------- [11, 11, 9] [11, 9] [2, 3, 11, 5] [2, 3, 5] ------------- = --------- [11, 11, 9] [11, 9] [2, 7, 11, 4] [2, 7, 4] ------------- = --------- [11, 11, 9] [11, 9] [3, 3, 11, 2] [3, 3, 2] ------------- = --------- [11, 11, 9] [11, 9] [3, 7, 11, 1] [3, 7, 1] ------------- = --------- [11, 11, 9] [11, 9] denominator=, [11, 11, 10] [5, 11, 11] [5, 11] ------------ = -------- [11, 11, 10] [11, 10] [1, 5, 11, 9] [1, 5, 9] ------------- = --------- [11, 11, 10] [11, 10] [2, 5, 11, 7] [2, 5, 7] ------------- = --------- [11, 11, 10] [11, 10] [3, 5, 11, 5] [3, 5, 5] ------------- = --------- [11, 11, 10] [11, 10] [4, 5, 11, 3] [4, 5, 3] ------------- = --------- [11, 11, 10] [11, 10] [5, 5, 11, 1] [5, 5, 1] ------------- = --------- [11, 11, 10] [11, 10] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 12, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 9] [1, 3, 0, 10] [1, 0, 10] ------------- = ---------- [3, 2, 9] [2, 9] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 4] [1, 4, 0, 6] [1, 0, 6] ------------ = --------- [4, 3, 4] [3, 4] denominator=, [4, 3, 8] [1, 4, 1, 9] [1, 1, 9] ------------ = --------- [4, 3, 8] [3, 8] denominator=, [4, 3, 10] [2, 4, 0, 11] [2, 0, 11] ------------- = ---------- [4, 3, 10] [3, 10] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 11] [6, 0, 11] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [5, 3, 9] [1, 5, 0, 0] [1, 0, 0] ------------ = --------- [5, 3, 9] [3, 9] denominator=, [5, 4, 2] [1, 5, 1, 4] [1, 1, 4] ------------ = --------- [5, 4, 2] [4, 2] denominator=, [5, 4, 7] [1, 5, 2, 8] [1, 2, 8] ------------ = --------- [5, 4, 7] [4, 7] [2, 5, 0, 9] [2, 0, 9] ------------ = --------- [5, 4, 7] [4, 7] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 6] [1, 6, 0, 9] [1, 0, 9] ------------ = --------- [6, 4, 6] [4, 6] denominator=, [6, 5, 0] [1, 6, 2, 2] [1, 2, 2] ------------ = --------- [6, 5, 0] [5, 0] denominator=, [6, 5, 3] [2, 6, 0, 6] [2, 0, 6] ------------ = --------- [6, 5, 3] [5, 3] denominator=, [6, 5, 6] [1, 6, 3, 7] [1, 3, 7] ------------ = --------- [6, 5, 6] [5, 6] [2, 6, 1, 8] [2, 1, 8] ------------ = --------- [6, 5, 6] [5, 6] denominator=, [6, 5, 8] [3, 6, 0, 10] [3, 0, 10] ------------- = ---------- [6, 5, 8] [5, 8] denominator=, [6, 5, 9] [2, 6, 2, 10] [2, 2, 10] ------------- = ---------- [6, 5, 9] [5, 9] denominator=, [6, 5, 10] [3, 6, 1, 11] [3, 1, 11] ------------- = ---------- [6, 5, 10] [5, 10] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 11] [8, 1, 11] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 10] [10, 0, 10] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 10] [9, 2, 10] ------------- = ---------- [6, 6, 4] [6, 4] [1, 3, 6, 0, 6] [1, 3, 0, 6] --------------- = ------------ [6, 6, 4] [6, 4] denominator=, [7, 4, 8] [1, 7, 0, 0] [1, 0, 0] ------------ = --------- [7, 4, 8] [4, 8] denominator=, [7, 5, 3] [1, 7, 1, 6] [1, 1, 6] ------------ = --------- [7, 5, 3] [5, 3] denominator=, [7, 5, 10] [1, 7, 3, 0] [1, 3, 0] ------------ = --------- [7, 5, 10] [5, 10] [2, 7, 0, 2] [2, 0, 2] ------------ = --------- [7, 5, 10] [5, 10] denominator=, [7, 6, 5] [1, 7, 4, 6] [1, 4, 6] ------------ = --------- [7, 6, 5] [6, 5] [2, 7, 2, 7] [2, 2, 7] ------------ = --------- [7, 6, 5] [6, 5] [3, 7, 0, 8] [3, 0, 8] ------------ = --------- [7, 6, 5] [6, 5] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 4] [1, 8, 0, 8] [1, 0, 8] ------------ = --------- [8, 5, 4] [5, 4] denominator=, [8, 6, 0] [1, 8, 2, 3] [1, 2, 3] ------------ = --------- [8, 6, 0] [6, 0] denominator=, [8, 6, 8] [1, 8, 3, 10] [1, 3, 10] ------------- = ---------- [8, 6, 8] [6, 8] [2, 8, 1, 0] [2, 1, 0] ------------ = --------- [8, 6, 8] [6, 8] denominator=, [8, 7, 0] [2, 8, 2, 3] [2, 2, 3] ------------ = --------- [8, 7, 0] [7, 0] denominator=, [8, 7, 4] [1, 8, 5, 5] [1, 5, 5] ------------ = --------- [8, 7, 4] [7, 4] [2, 8, 3, 6] [2, 3, 6] ------------ = --------- [8, 7, 4] [7, 4] [3, 8, 1, 7] [3, 1, 7] ------------ = --------- [8, 7, 4] [7, 4] denominator=, [8, 7, 6] [4, 8, 0, 9] [4, 0, 9] ------------ = --------- [8, 7, 6] [7, 6] denominator=, [8, 7, 8] [2, 8, 4, 9] [2, 4, 9] ------------ = --------- [8, 7, 8] [7, 8] [4, 8, 1, 10] [4, 1, 10] ------------- = ---------- [8, 7, 8] [7, 8] denominator=, [8, 7, 10] [4, 8, 2, 11] [4, 2, 11] ------------- = ---------- [8, 7, 10] [7, 10] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 11] [10, 2, 11] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 1, 10] [1, 0, 1, 10] ---------------- = ------------- [8, 8, 4] [8, 4] [1, 2, 8, 0, 9] [1, 2, 0, 9] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [1, 0, 8, 4, 9] [1, 0, 4, 9] --------------- = ------------ [8, 8, 6] [8, 6] [1, 8, 8, 2, 3] [1, 8, 2, 3] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [9, 6, 0] [1, 9, 1, 4] [1, 1, 4] ------------ = --------- [9, 6, 0] [6, 0] denominator=, [9, 6, 9] [1, 9, 3, 0] [1, 3, 0] ------------ = --------- [9, 6, 9] [6, 9] denominator=, [9, 7, 6] [1, 9, 4, 8] [1, 4, 8] ------------ = --------- [9, 7, 6] [7, 6] [2, 9, 1, 10] [2, 1, 10] ------------- = ---------- [9, 7, 6] [7, 6] denominator=, [9, 7, 9] [3, 9, 0, 2] [3, 0, 2] ------------ = --------- [9, 7, 9] [7, 9] denominator=, [9, 8, 0] [3, 9, 1, 4] [3, 1, 4] ------------ = --------- [9, 8, 0] [8, 0] denominator=, [9, 8, 3] [1, 9, 6, 4] [1, 6, 4] ------------ = --------- [9, 8, 3] [8, 3] [2, 9, 4, 5] [2, 4, 5] ------------ = --------- [9, 8, 3] [8, 3] [3, 9, 2, 6] [3, 2, 6] ------------ = --------- [9, 8, 3] [8, 3] [4, 9, 0, 7] [4, 0, 7] ------------ = --------- [9, 8, 3] [8, 3] denominator=, [9, 8, 6] [3, 9, 3, 8] [3, 3, 8] ------------ = --------- [9, 8, 6] [8, 6] denominator=, [9, 8, 9] [3, 9, 4, 10] [3, 4, 10] ------------- = ---------- [9, 8, 9] [8, 9] [6, 9, 0, 11] [6, 0, 11] ------------- = ---------- [9, 8, 9] [8, 9] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [1, 0, 9, 0, 11] [1, 0, 0, 11] ---------------- = ------------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [1, 0, 9, 4, 10] [1, 0, 4, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 3, 9, 3, 8] [1, 3, 3, 8] --------------- = ------------ [9, 9, 6] [9, 6] [1, 9, 9, 1, 4] [1, 9, 1, 4] --------------- = ------------ [9, 9, 6] [9, 6] [2, 0, 9, 0, 2] [2, 0, 0, 2] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [10, 5, 10] [1, 10, 0, 3] [1, 0, 3] ------------- = --------- [10, 5, 10] [5, 10] denominator=, [10, 6, 8] [1, 10, 2, 0] [1, 2, 0] ------------- = --------- [10, 6, 8] [6, 8] denominator=, [10, 7, 6] [1, 10, 3, 9] [1, 3, 9] ------------- = --------- [10, 7, 6] [7, 6] [2, 10, 0, 0] [2, 0, 0] ------------- = --------- [10, 7, 6] [7, 6] denominator=, [10, 7, 11] [2, 10, 1, 4] [2, 1, 4] ------------- = --------- [10, 7, 11] [7, 11] denominator=, [10, 8, 4] [1, 10, 5, 6] [1, 5, 6] ------------- = --------- [10, 8, 4] [8, 4] [2, 10, 2, 8] [2, 2, 8] ------------- = --------- [10, 8, 4] [8, 4] denominator=, [10, 8, 9] [2, 10, 4, 0] [2, 4, 0] ------------- = --------- [10, 8, 9] [8, 9] denominator=, [10, 9, 2] [1, 10, 7, 3] [1, 7, 3] ------------- = --------- [10, 9, 2] [9, 2] [2, 10, 5, 4] [2, 5, 4] ------------- = --------- [10, 9, 2] [9, 2] [3, 10, 3, 5] [3, 3, 5] ------------- = --------- [10, 9, 2] [9, 2] [4, 10, 1, 6] [4, 1, 6] ------------- = --------- [10, 9, 2] [9, 2] denominator=, [10, 9, 4] [5, 10, 0, 8] [5, 0, 8] ------------- = --------- [10, 9, 4] [9, 4] denominator=, [10, 9, 6] [5, 10, 1, 9] [5, 1, 9] ------------- = --------- [10, 9, 6] [9, 6] denominator=, [10, 9, 7] [2, 10, 6, 8] [2, 6, 8] ------------- = --------- [10, 9, 7] [9, 7] [4, 10, 3, 9] [4, 3, 9] ------------- = --------- [10, 9, 7] [9, 7] [6, 10, 0, 10] [6, 0, 10] -------------- = ---------- [10, 9, 7] [9, 7] denominator=, [10, 9, 8] [5, 10, 2, 10] [5, 2, 10] -------------- = ---------- [10, 9, 8] [9, 8] denominator=, [10, 9, 10] [5, 10, 3, 11] [5, 3, 11] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [1, 3, 10, 0, 10] [1, 3, 0, 10] ----------------- = ------------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [1, 0, 10, 3, 11] [1, 0, 3, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 2, 10] [1, 2, 2, 10] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 1, 9] [1, 4, 1, 9] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 6, 10, 0, 8] [1, 6, 0, 8] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [1, 3, 10, 3, 9] [1, 3, 3, 9] ---------------- = ------------ [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [1, 3, 10, 6, 8] [1, 3, 6, 8] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 1, 10, 4, 0] [2, 1, 4, 0] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 11, 10, 1, 4] [2, 11, 1, 4] ----------------- = ------------- [10, 10, 8] [10, 8] ------------------------------------------------------------------------- This ends this book that took, 65.033, seconds to generate. ---------------------------------------------- Base , 13 Lots and Lots of Anomalous Cancellations in base, 13 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 13, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 13, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [8, 6] [1, 8, 2] [1, 2] --------- = ------ [8, 6] [6] denominator=, [9, 6] [1, 9, 1] [1, 1] --------- = ------ [9, 6] [6] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 8, 8] [6, 8, 7] [6, 7] --------- = ------ [2, 8, 8] [2, 8] [1, 1, 8, 5] [1, 1, 5] ------------ = --------- [2, 8, 8] [2, 8] [1, 9, 8, 3] [1, 9, 3] ------------ = --------- [2, 8, 8] [2, 8] [2, 4, 8, 1] [2, 4, 1] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [3, 9, 9] [8, 9, 8] [8, 8] --------- = ------ [3, 9, 9] [3, 9] [1, 0, 9, 7] [1, 0, 7] ------------ = --------- [3, 9, 9] [3, 9] [1, 10, 9, 5] [1, 10, 5] ------------- = ---------- [3, 9, 9] [3, 9] [2, 2, 9, 4] [2, 2, 4] ------------ = --------- [3, 9, 9] [3, 9] [2, 12, 9, 2] [2, 12, 2] ------------- = ---------- [3, 9, 9] [3, 9] [3, 4, 9, 1] [3, 4, 1] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [4, 8, 8] [11, 8, 7] [11, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 12, 8, 5] [1, 12, 5] ------------- = ---------- [4, 8, 8] [4, 8] [3, 0, 8, 3] [3, 0, 3] ------------ = --------- [4, 8, 8] [4, 8] [4, 1, 8, 1] [4, 1, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 10] [12, 10, 9] [12, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 0, 10, 7] [2, 0, 7] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 2, 10, 3] [4, 2, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 3, 10, 1] [5, 3, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [6, 8, 8] [1, 3, 8, 7] [1, 3, 7] ------------ = --------- [6, 8, 8] [6, 8] [2, 10, 8, 5] [2, 10, 5] ------------- = ---------- [6, 8, 8] [6, 8] [4, 4, 8, 3] [4, 4, 3] ------------ = --------- [6, 8, 8] [6, 8] [5, 11, 8, 1] [5, 11, 1] ------------- = ---------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [1, 2, 9, 8] [1, 2, 8] ------------ = --------- [6, 9, 9] [6, 9] [1, 11, 9, 7] [1, 11, 7] ------------- = ---------- [6, 9, 9] [6, 9] [3, 3, 9, 5] [3, 3, 5] ------------ = --------- [6, 9, 9] [6, 9] [3, 12, 9, 4] [3, 12, 4] ------------- = ---------- [6, 9, 9] [6, 9] [5, 4, 9, 2] [5, 4, 2] ------------ = --------- [6, 9, 9] [6, 9] [6, 0, 9, 1] [6, 0, 1] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [2, 0, 8, 7] [2, 0, 7] ------------ = --------- [10, 8, 8] [10, 8] [4, 6, 8, 5] [4, 6, 5] ------------ = --------- [10, 8, 8] [10, 8] [6, 12, 8, 3] [6, 12, 3] ------------- = ---------- [10, 8, 8] [10, 8] [9, 5, 8, 1] [9, 5, 1] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 8, 8] [2, 5, 8, 7] [2, 5, 7] ------------ = --------- [12, 8, 8] [12, 8] [5, 4, 8, 5] [5, 4, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 3, 8, 3] [8, 3, 3] ------------ = --------- [12, 8, 8] [12, 8] [11, 2, 8, 1] [11, 2, 1] ------------- = ---------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [2, 3, 9, 8] [2, 3, 8] ------------ = --------- [12, 9, 9] [12, 9] [3, 7, 9, 7] [3, 7, 7] ------------ = --------- [12, 9, 9] [12, 9] [6, 2, 9, 5] [6, 2, 5] ------------ = --------- [12, 9, 9] [12, 9] [7, 6, 9, 4] [7, 6, 4] ------------ = --------- [12, 9, 9] [12, 9] [10, 1, 9, 2] [10, 1, 2] ------------- = ---------- [12, 9, 9] [12, 9] [11, 5, 9, 1] [11, 5, 1] ------------- = ---------- [12, 9, 9] [12, 9] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 8, 8] [6, 8, 7, 0] [6, 7, 0] ------------ = --------- [2, 8, 8] [2, 8] [1, 1, 8, 5, 0] [1, 1, 5, 0] --------------- = ------------ [2, 8, 8] [2, 8] [1, 9, 8, 3, 0] [1, 9, 3, 0] --------------- = ------------ [2, 8, 8] [2, 8] [2, 4, 8, 1, 0] [2, 4, 1, 0] --------------- = ------------ [2, 8, 8] [2, 8] denominator=, [3, 9, 9] [8, 9, 8, 0] [8, 8, 0] ------------ = --------- [3, 9, 9] [3, 9] [1, 0, 9, 7, 0] [1, 0, 7, 0] --------------- = ------------ [3, 9, 9] [3, 9] [1, 10, 9, 5, 0] [1, 10, 5, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 2, 9, 4, 0] [2, 2, 4, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 12, 9, 2, 0] [2, 12, 2, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [3, 4, 9, 1, 0] [3, 4, 1, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [4, 8, 8] [11, 8, 7, 0] [11, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 12, 8, 5, 0] [1, 12, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 0, 8, 3, 0] [3, 0, 3, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 1, 8, 1, 0] [4, 1, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [5, 10, 10] [12, 10, 9, 0] [12, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 0, 10, 7, 0] [2, 0, 7, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 2, 10, 3, 0] [4, 2, 3, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 3, 10, 1, 0] [5, 3, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [6, 8, 8] [1, 3, 8, 7, 0] [1, 3, 7, 0] --------------- = ------------ [6, 8, 8] [6, 8] [2, 10, 8, 5, 0] [2, 10, 5, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [4, 4, 8, 3, 0] [4, 4, 3, 0] --------------- = ------------ [6, 8, 8] [6, 8] [5, 11, 8, 1, 0] [5, 11, 1, 0] ---------------- = ------------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [1, 2, 9, 8, 0] [1, 2, 8, 0] --------------- = ------------ [6, 9, 9] [6, 9] [1, 11, 9, 7, 0] [1, 11, 7, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [3, 3, 9, 5, 0] [3, 3, 5, 0] --------------- = ------------ [6, 9, 9] [6, 9] [3, 12, 9, 4, 0] [3, 12, 4, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [5, 4, 9, 2, 0] [5, 4, 2, 0] --------------- = ------------ [6, 9, 9] [6, 9] [6, 0, 9, 1, 0] [6, 0, 1, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [2, 0, 8, 7, 0] [2, 0, 7, 0] --------------- = ------------ [10, 8, 8] [10, 8] [4, 6, 8, 5, 0] [4, 6, 5, 0] --------------- = ------------ [10, 8, 8] [10, 8] [6, 12, 8, 3, 0] [6, 12, 3, 0] ---------------- = ------------- [10, 8, 8] [10, 8] [9, 5, 8, 1, 0] [9, 5, 1, 0] --------------- = ------------ [10, 8, 8] [10, 8] denominator=, [12, 8, 8] [2, 5, 8, 7, 0] [2, 5, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [5, 4, 8, 5, 0] [5, 4, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 3, 8, 3, 0] [8, 3, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [11, 2, 8, 1, 0] [11, 2, 1, 0] ---------------- = ------------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [2, 3, 9, 8, 0] [2, 3, 8, 0] --------------- = ------------ [12, 9, 9] [12, 9] [3, 7, 9, 7, 0] [3, 7, 7, 0] --------------- = ------------ [12, 9, 9] [12, 9] [6, 2, 9, 5, 0] [6, 2, 5, 0] --------------- = ------------ [12, 9, 9] [12, 9] [7, 6, 9, 4, 0] [7, 6, 4, 0] --------------- = ------------ [12, 9, 9] [12, 9] [10, 1, 9, 2, 0] [10, 1, 2, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [11, 5, 9, 1, 0] [11, 5, 1, 0] ---------------- = ------------- [12, 9, 9] [12, 9] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 12, 11] [1, 12, 12] [1, 12] ----------- = ------- [3, 12, 11] [3, 11] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [4, 6, 5] [4, 5] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [5, 4, 3] [5, 3] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 12, 10] [1, 12, 12] [1, 12] ----------- = ------- [5, 12, 10] [5, 10] denominator=, [5, 12, 11] [2, 12, 12] [2, 12] ----------- = ------- [5, 12, 11] [5, 11] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [6, 3, 2] [6, 2] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [6, 8, 6] [6, 6] denominator=, [6, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [6, 8, 7] [6, 7] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [7, 6, 4] [7, 4] denominator=, [7, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [7, 6, 5] [7, 5] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 12, 9] [1, 12, 12] [1, 12] ----------- = ------- [7, 12, 9] [7, 9] denominator=, [7, 12, 11] [3, 12, 12] [3, 12] ----------- = ------- [7, 12, 11] [7, 11] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [8, 2, 1] [8, 1] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [8, 9, 6] [8, 6] denominator=, [8, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [8, 9, 8] [8, 8] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 12, 10] [2, 12, 12] [2, 12] ----------- = ------- [8, 12, 10] [8, 10] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [9, 4, 2] [9, 2] denominator=, [9, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [9, 4, 3] [9, 3] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [9, 12, 8] [9, 8] denominator=, [9, 12, 11] [4, 12, 12] [4, 12] ----------- = ------- [9, 12, 11] [9, 11] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [10, 6, 3] [10, 3] denominator=, [10, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [10, 6, 5] [10, 5] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [10, 8, 6] [10, 6] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [11, 3, 1] [11, 1] denominator=, [11, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [11, 3, 2] [11, 2] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [11, 8, 4] [11, 4] denominator=, [11, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [11, 8, 7] [11, 7] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 12, 7] [1, 12, 12] [1, 12] ----------- = ------- [11, 12, 7] [11, 7] denominator=, [11, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [11, 12, 9] [11, 9] denominator=, [11, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [11, 12, 10] [11, 10] denominator=, [11, 12, 11] [5, 12, 12] [5, 12] ------------ = -------- [11, 12, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [12, 6, 4] [12, 4] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [12, 10, 5] [12, 5] denominator=, [12, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [12, 10, 9] [12, 9] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 6, 2] [6, 5] [5] --------- = ------ [1, 6, 2] [1, 2] denominator=, [1, 8, 2] [8, 6] [6] --------- = ------ [1, 8, 2] [1, 2] denominator=, [1, 9, 1] [9, 6] [6] --------- = ------ [1, 9, 1] [1, 1] denominator=, [1, 12, 1] [12, 7] [7] ---------- = ------ [1, 12, 1] [1, 1] denominator=, [1, 12, 3] [12, 8] [8] ---------- = ------ [1, 12, 3] [1, 3] denominator=, [1, 12, 5] [12, 9] [9] ---------- = ------ [1, 12, 5] [1, 5] [2, 12, 1] [2, 1] ---------- = ------ [1, 12, 5] [1, 5] denominator=, [1, 12, 7] [12, 10] [10] ---------- = ------ [1, 12, 7] [1, 7] [2, 12, 4] [2, 4] ---------- = ------ [1, 12, 7] [1, 7] denominator=, [1, 12, 9] [12, 11] [11] ---------- = ------ [1, 12, 9] [1, 9] [2, 12, 7] [2, 7] ---------- = ------ [1, 12, 9] [1, 9] [4, 12, 3] [4, 3] ---------- = ------ [1, 12, 9] [1, 9] denominator=, [2, 8, 2] [8, 7] [7] --------- = ------ [2, 8, 2] [2, 2] denominator=, [2, 8, 8] [6, 8, 7] [6, 7] --------- = ------ [2, 8, 8] [2, 8] [1, 1, 8, 5] [1, 1, 5] ------------ = --------- [2, 8, 8] [2, 8] [1, 9, 8, 3] [1, 9, 3] ------------ = --------- [2, 8, 8] [2, 8] [2, 4, 8, 1] [2, 4, 1] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 12, 1] [12, 9] [9] ---------- = ------ [2, 12, 1] [2, 1] [1, 12, 5] [1, 5] ---------- = ------ [2, 12, 1] [2, 1] denominator=, [2, 12, 4] [12, 10] [10] ---------- = ------ [2, 12, 4] [2, 4] [1, 12, 7] [1, 7] ---------- = ------ [2, 12, 4] [2, 4] [3, 12, 1] [3, 1] ---------- = ------ [2, 12, 4] [2, 4] denominator=, [2, 12, 7] [12, 11] [11] ---------- = ------ [2, 12, 7] [2, 7] [1, 12, 9] [1, 9] ---------- = ------ [2, 12, 7] [2, 7] [3, 12, 5] [3, 5] ---------- = ------ [2, 12, 7] [2, 7] [4, 12, 3] [4, 3] ---------- = ------ [2, 12, 7] [2, 7] denominator=, [3, 4, 3] [8, 4, 1] [8, 1] --------- = ------ [3, 4, 3] [3, 3] denominator=, [3, 9, 1] [9, 8] [8] --------- = ------ [3, 9, 1] [3, 1] denominator=, [3, 9, 9] [8, 9, 8] [8, 8] --------- = ------ [3, 9, 9] [3, 9] [1, 0, 9, 7] [1, 0, 7] ------------ = --------- [3, 9, 9] [3, 9] [1, 10, 9, 5] [1, 10, 5] ------------- = ---------- [3, 9, 9] [3, 9] [2, 2, 9, 4] [2, 2, 4] ------------ = --------- [3, 9, 9] [3, 9] [2, 12, 9, 2] [2, 12, 2] ------------- = ---------- [3, 9, 9] [3, 9] [3, 4, 9, 1] [3, 4, 1] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 1] [12, 10] [10] ---------- = ------ [3, 12, 1] [3, 1] [1, 12, 7] [1, 7] ---------- = ------ [3, 12, 1] [3, 1] [2, 12, 4] [2, 4] ---------- = ------ [3, 12, 1] [3, 1] denominator=, [3, 12, 3] [1, 12, 8] [1, 8] ---------- = ------ [3, 12, 3] [3, 3] denominator=, [3, 12, 5] [12, 11] [11] ---------- = ------ [3, 12, 5] [3, 5] [1, 12, 9] [1, 9] ---------- = ------ [3, 12, 5] [3, 5] [2, 12, 7] [2, 7] ---------- = ------ [3, 12, 5] [3, 5] [4, 12, 3] [4, 3] ---------- = ------ [3, 12, 5] [3, 5] [5, 12, 1] [5, 1] ---------- = ------ [3, 12, 5] [3, 5] denominator=, [3, 12, 7] [1, 12, 10] [1, 10] ----------- = ------- [3, 12, 7] [3, 7] [5, 12, 4] [5, 4] ---------- = ------ [3, 12, 7] [3, 7] denominator=, [3, 12, 11] [1, 12, 12] [1, 12] ----------- = ------- [3, 12, 11] [3, 11] [5, 12, 10] [5, 10] ----------- = ------- [3, 12, 11] [3, 11] [9, 12, 8] [9, 8] ----------- = ------- [3, 12, 11] [3, 11] [1, 0, 12, 6] [1, 0, 6] ------------- = --------- [3, 12, 11] [3, 11] [1, 4, 12, 4] [1, 4, 4] ------------- = --------- [3, 12, 11] [3, 11] [1, 8, 12, 2] [1, 8, 2] ------------- = --------- [3, 12, 11] [3, 11] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [3, 12, 11] [3, 11] denominator=, [4, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [4, 6, 5] [4, 5] [7, 6, 4] [7, 4] --------- = ------ [4, 6, 5] [4, 5] [10, 6, 3] [10, 3] ---------- = ------- [4, 6, 5] [4, 5] [1, 3, 6, 1] [1, 3, 1] ------------ = --------- [4, 6, 5] [4, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [4, 6, 5] [4, 5] denominator=, [4, 8, 6] [11, 8, 2] [11, 2] ---------- = ------- [4, 8, 6] [4, 6] denominator=, [4, 8, 8] [11, 8, 7] [11, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 12, 8, 5] [1, 12, 5] ------------- = ---------- [4, 8, 8] [4, 8] [3, 0, 8, 3] [3, 0, 3] ------------ = --------- [4, 8, 8] [4, 8] [4, 1, 8, 1] [4, 1, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 12, 3] [12, 11] [11] ---------- = ------ [4, 12, 3] [4, 3] [1, 12, 9] [1, 9] ---------- = ------ [4, 12, 3] [4, 3] [2, 12, 7] [2, 7] ---------- = ------ [4, 12, 3] [4, 3] [3, 12, 5] [3, 5] ---------- = ------ [4, 12, 3] [4, 3] [5, 12, 1] [5, 1] ---------- = ------ [4, 12, 3] [4, 3] denominator=, [5, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [5, 4, 3] [5, 3] [9, 4, 2] [9, 2] --------- = ------ [5, 4, 3] [5, 3] [1, 0, 4, 1] [1, 0, 1] ------------ = --------- [5, 4, 3] [5, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [5, 4, 3] [5, 3] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 10] [12, 10, 9] [12, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 0, 10, 7] [2, 0, 7] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 2, 10, 3] [4, 2, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 3, 10, 1] [5, 3, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 12, 1] [12, 11] [11] ---------- = ------ [5, 12, 1] [5, 1] [1, 12, 9] [1, 9] ---------- = ------ [5, 12, 1] [5, 1] [2, 12, 7] [2, 7] ---------- = ------ [5, 12, 1] [5, 1] [3, 12, 5] [3, 5] ---------- = ------ [5, 12, 1] [5, 1] [4, 12, 3] [4, 3] ---------- = ------ [5, 12, 1] [5, 1] denominator=, [5, 12, 3] [2, 12, 8] [2, 8] ---------- = ------ [5, 12, 3] [5, 3] denominator=, [5, 12, 4] [1, 12, 10] [1, 10] ----------- = ------- [5, 12, 4] [5, 4] [3, 12, 7] [3, 7] ---------- = ------ [5, 12, 4] [5, 4] [7, 12, 1] [7, 1] ---------- = ------ [5, 12, 4] [5, 4] denominator=, [5, 12, 5] [2, 12, 9] [2, 9] ---------- = ------ [5, 12, 5] [5, 5] [8, 12, 1] [8, 1] ---------- = ------ [5, 12, 5] [5, 5] denominator=, [5, 12, 9] [2, 12, 11] [2, 11] ----------- = ------- [5, 12, 9] [5, 9] [8, 12, 7] [8, 7] ---------- = ------ [5, 12, 9] [5, 9] [1, 1, 12, 3] [1, 1, 3] ------------- = --------- [5, 12, 9] [5, 9] denominator=, [5, 12, 10] [1, 12, 12] [1, 12] ----------- = ------- [5, 12, 10] [5, 10] [3, 12, 11] [3, 11] ----------- = ------- [5, 12, 10] [5, 10] [7, 12, 9] [7, 9] ----------- = ------- [5, 12, 10] [5, 10] [9, 12, 8] [9, 8] ----------- = ------- [5, 12, 10] [5, 10] [1, 0, 12, 6] [1, 0, 6] ------------- = --------- [5, 12, 10] [5, 10] [1, 2, 12, 5] [1, 2, 5] ------------- = --------- [5, 12, 10] [5, 10] [1, 6, 12, 3] [1, 6, 3] ------------- = --------- [5, 12, 10] [5, 10] [1, 8, 12, 2] [1, 8, 2] ------------- = --------- [5, 12, 10] [5, 10] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [5, 12, 10] [5, 10] denominator=, [5, 12, 11] [2, 12, 12] [2, 12] ----------- = ------- [5, 12, 11] [5, 11] [8, 12, 10] [8, 10] ----------- = ------- [5, 12, 11] [5, 11] [1, 1, 12, 8] [1, 1, 8] ------------- = --------- [5, 12, 11] [5, 11] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [5, 12, 11] [5, 11] [2, 0, 12, 4] [2, 0, 4] ------------- = --------- [5, 12, 11] [5, 11] [2, 6, 12, 2] [2, 6, 2] ------------- = --------- [5, 12, 11] [5, 11] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [5, 12, 11] [5, 11] denominator=, [6, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [6, 3, 2] [6, 2] [11, 3, 1] [11, 1] ---------- = ------- [6, 3, 2] [6, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [6, 3, 2] [6, 2] denominator=, [6, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [6, 8, 6] [6, 6] [11, 8, 4] [11, 4] ---------- = ------- [6, 8, 6] [6, 6] [1, 3, 8, 2] [1, 3, 2] ------------ = --------- [6, 8, 6] [6, 6] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [6, 8, 6] [6, 6] denominator=, [6, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [6, 8, 7] [6, 7] [10, 8, 6] [10, 6] ---------- = ------- [6, 8, 7] [6, 7] [1, 1, 8, 5] [1, 1, 5] ------------ = --------- [6, 8, 7] [6, 7] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [6, 8, 7] [6, 7] [1, 9, 8, 3] [1, 9, 3] ------------ = --------- [6, 8, 7] [6, 7] [2, 4, 8, 1] [2, 4, 1] ------------ = --------- [6, 8, 7] [6, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [6, 8, 7] [6, 7] denominator=, [6, 8, 8] [1, 3, 8, 7] [1, 3, 7] ------------ = --------- [6, 8, 8] [6, 8] [2, 10, 8, 5] [2, 10, 5] ------------- = ---------- [6, 8, 8] [6, 8] [4, 4, 8, 3] [4, 4, 3] ------------ = --------- [6, 8, 8] [6, 8] [5, 11, 8, 1] [5, 11, 1] ------------- = ---------- [6, 8, 8] [6, 8] denominator=, [6, 9, 6] [1, 2, 9, 1] [1, 2, 1] ------------ = --------- [6, 9, 6] [6, 6] denominator=, [6, 9, 9] [1, 2, 9, 8] [1, 2, 8] ------------ = --------- [6, 9, 9] [6, 9] [1, 11, 9, 7] [1, 11, 7] ------------- = ---------- [6, 9, 9] [6, 9] [3, 3, 9, 5] [3, 3, 5] ------------ = --------- [6, 9, 9] [6, 9] [3, 12, 9, 4] [3, 12, 4] ------------- = ---------- [6, 9, 9] [6, 9] [5, 4, 9, 2] [5, 4, 2] ------------ = --------- [6, 9, 9] [6, 9] [6, 0, 9, 1] [6, 0, 1] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [7, 4, 3] [1, 5, 4, 1] [1, 5, 1] ------------ = --------- [7, 4, 3] [7, 3] denominator=, [7, 6, 2] [2, 6, 5] [2, 5] --------- = ------ [7, 6, 2] [7, 2] denominator=, [7, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [7, 6, 4] [7, 4] [4, 6, 5] [4, 5] --------- = ------ [7, 6, 4] [7, 4] [10, 6, 3] [10, 3] ---------- = ------- [7, 6, 4] [7, 4] [1, 0, 6, 2] [1, 0, 2] ------------ = --------- [7, 6, 4] [7, 4] [1, 3, 6, 1] [1, 3, 1] ------------ = --------- [7, 6, 4] [7, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [7, 6, 4] [7, 4] denominator=, [7, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [7, 6, 5] [7, 5] [12, 6, 4] [12, 4] ---------- = ------- [7, 6, 5] [7, 5] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [7, 6, 5] [7, 5] [2, 1, 6, 1] [2, 1, 1] ------------ = --------- [7, 6, 5] [7, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [7, 6, 5] [7, 5] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 11, 9] [2, 0, 11, 2] [2, 0, 2] ------------- = --------- [7, 11, 9] [7, 9] denominator=, [7, 12, 1] [1, 12, 10] [1, 10] ----------- = ------- [7, 12, 1] [7, 1] [3, 12, 7] [3, 7] ---------- = ------ [7, 12, 1] [7, 1] [5, 12, 4] [5, 4] ---------- = ------ [7, 12, 1] [7, 1] denominator=, [7, 12, 3] [3, 12, 8] [3, 8] ---------- = ------ [7, 12, 3] [7, 3] denominator=, [7, 12, 7] [3, 12, 10] [3, 10] ----------- = ------- [7, 12, 7] [7, 7] [11, 12, 4] [11, 4] ----------- = ------- [7, 12, 7] [7, 7] denominator=, [7, 12, 9] [1, 12, 12] [1, 12] ----------- = ------- [7, 12, 9] [7, 9] [3, 12, 11] [3, 11] ----------- = ------- [7, 12, 9] [7, 9] [5, 12, 10] [5, 10] ----------- = ------- [7, 12, 9] [7, 9] [9, 12, 8] [9, 8] ---------- = ------ [7, 12, 9] [7, 9] [11, 12, 7] [11, 7] ----------- = ------- [7, 12, 9] [7, 9] [1, 0, 12, 6] [1, 0, 6] ------------- = --------- [7, 12, 9] [7, 9] [1, 4, 12, 4] [1, 4, 4] ------------- = --------- [7, 12, 9] [7, 9] [1, 6, 12, 3] [1, 6, 3] ------------- = --------- [7, 12, 9] [7, 9] [1, 8, 12, 2] [1, 8, 2] ------------- = --------- [7, 12, 9] [7, 9] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [7, 12, 9] [7, 9] denominator=, [7, 12, 11] [3, 12, 12] [3, 12] ----------- = ------- [7, 12, 11] [7, 11] [11, 12, 10] [11, 10] ------------ = -------- [7, 12, 11] [7, 11] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [7, 12, 11] [7, 11] [2, 1, 12, 6] [2, 1, 6] ------------- = --------- [7, 12, 11] [7, 11] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [7, 12, 11] [7, 11] [3, 4, 12, 2] [3, 4, 2] ------------- = --------- [7, 12, 11] [7, 11] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [7, 12, 11] [7, 11] denominator=, [8, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [8, 2, 1] [8, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [8, 2, 1] [8, 1] denominator=, [8, 4, 1] [3, 4, 3] [3, 3] --------- = ------ [8, 4, 1] [8, 1] denominator=, [8, 8, 6] [1, 8, 8, 2] [1, 8, 2] ------------ = --------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [8, 9, 6] [8, 6] [1, 2, 9, 3] [1, 2, 3] ------------ = --------- [8, 9, 6] [8, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [8, 9, 6] [8, 6] denominator=, [8, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [8, 9, 8] [8, 8] [1, 0, 9, 7] [1, 0, 7] ------------ = --------- [8, 9, 8] [8, 8] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [8, 9, 8] [8, 8] [1, 10, 9, 5] [1, 10, 5] ------------- = ---------- [8, 9, 8] [8, 8] [2, 2, 9, 4] [2, 2, 4] ------------ = --------- [8, 9, 8] [8, 8] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [8, 9, 8] [8, 8] [2, 12, 9, 2] [2, 12, 2] ------------- = ---------- [8, 9, 8] [8, 8] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [8, 9, 8] [8, 8] denominator=, [8, 12, 1] [2, 12, 9] [2, 9] ---------- = ------ [8, 12, 1] [8, 1] [5, 12, 5] [5, 5] ---------- = ------ [8, 12, 1] [8, 1] denominator=, [8, 12, 7] [2, 12, 11] [2, 11] ----------- = ------- [8, 12, 7] [8, 7] [5, 12, 9] [5, 9] ---------- = ------ [8, 12, 7] [8, 7] [11, 12, 5] [11, 5] ----------- = ------- [8, 12, 7] [8, 7] [1, 1, 12, 3] [1, 1, 3] ------------- = --------- [8, 12, 7] [8, 7] denominator=, [8, 12, 10] [2, 12, 12] [2, 12] ----------- = ------- [8, 12, 10] [8, 10] [5, 12, 11] [5, 11] ----------- = ------- [8, 12, 10] [8, 10] [11, 12, 9] [11, 9] ----------- = ------- [8, 12, 10] [8, 10] [1, 1, 12, 8] [1, 1, 8] ------------- = --------- [8, 12, 10] [8, 10] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [8, 12, 10] [8, 10] [1, 10, 12, 5] [1, 10, 5] -------------- = ---------- [8, 12, 10] [8, 10] [2, 3, 12, 3] [2, 3, 3] ------------- = --------- [8, 12, 10] [8, 10] [2, 6, 12, 2] [2, 6, 2] ------------- = --------- [8, 12, 10] [8, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [8, 12, 10] [8, 10] denominator=, [9, 4, 2] [1, 4, 4] [1, 4] --------- = ------ [9, 4, 2] [9, 2] [5, 4, 3] [5, 3] --------- = ------ [9, 4, 2] [9, 2] [1, 0, 4, 1] [1, 0, 1] ------------ = --------- [9, 4, 2] [9, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [9, 4, 2] [9, 2] denominator=, [9, 4, 3] [2, 4, 4] [2, 4] --------- = ------ [9, 4, 3] [9, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [9, 4, 3] [9, 3] [1, 10, 4, 1] [1, 10, 1] ------------- = ---------- [9, 4, 3] [9, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [9, 4, 3] [9, 3] denominator=, [9, 9, 6] [1, 9, 9, 1] [1, 9, 1] ------------ = --------- [9, 9, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 9] [2, 0, 11, 4] [2, 0, 4] ------------- = --------- [9, 11, 9] [9, 9] denominator=, [9, 12, 1] [4, 12, 7] [4, 7] ---------- = ------ [9, 12, 1] [9, 1] denominator=, [9, 12, 5] [4, 12, 9] [4, 9] ---------- = ------ [9, 12, 5] [9, 5] [1, 1, 12, 1] [1, 1, 1] ------------- = --------- [9, 12, 5] [9, 5] denominator=, [9, 12, 7] [4, 12, 10] [4, 10] ----------- = ------- [9, 12, 7] [9, 7] [1, 1, 12, 4] [1, 1, 4] ------------- = --------- [9, 12, 7] [9, 7] denominator=, [9, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [9, 12, 8] [9, 8] [3, 12, 11] [3, 11] ----------- = ------- [9, 12, 8] [9, 8] [5, 12, 10] [5, 10] ----------- = ------- [9, 12, 8] [9, 8] [7, 12, 9] [7, 9] ---------- = ------ [9, 12, 8] [9, 8] [11, 12, 7] [11, 7] ----------- = ------- [9, 12, 8] [9, 8] [1, 0, 12, 6] [1, 0, 6] ------------- = --------- [9, 12, 8] [9, 8] [1, 2, 12, 5] [1, 2, 5] ------------- = --------- [9, 12, 8] [9, 8] [1, 4, 12, 4] [1, 4, 4] ------------- = --------- [9, 12, 8] [9, 8] [1, 8, 12, 2] [1, 8, 2] ------------- = --------- [9, 12, 8] [9, 8] [1, 10, 12, 1] [1, 10, 1] -------------- = ---------- [9, 12, 8] [9, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [9, 12, 8] [9, 8] denominator=, [9, 12, 9] [4, 12, 11] [4, 11] ----------- = ------- [9, 12, 9] [9, 9] [1, 1, 12, 7] [1, 1, 7] ------------- = --------- [9, 12, 9] [9, 9] [1, 11, 12, 3] [1, 11, 3] -------------- = ---------- [9, 12, 9] [9, 9] denominator=, [9, 12, 11] [4, 12, 12] [4, 12] ----------- = ------- [9, 12, 11] [9, 11] [1, 1, 12, 10] [1, 1, 10] -------------- = ---------- [9, 12, 11] [9, 11] [1, 11, 12, 8] [1, 11, 8] -------------- = ---------- [9, 12, 11] [9, 11] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [9, 12, 11] [9, 11] [3, 5, 12, 4] [3, 5, 4] ------------- = --------- [9, 12, 11] [9, 11] [4, 2, 12, 2] [4, 2, 2] ------------- = --------- [9, 12, 11] [9, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [9, 12, 11] [9, 11] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 2] [3, 6, 5] [3, 5] ---------- = ------- [10, 6, 2] [10, 2] denominator=, [10, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [10, 6, 3] [10, 3] [4, 6, 5] [4, 5] ---------- = ------- [10, 6, 3] [10, 3] [7, 6, 4] [7, 4] ---------- = ------- [10, 6, 3] [10, 3] [1, 0, 6, 2] [1, 0, 2] ------------ = --------- [10, 6, 3] [10, 3] [1, 3, 6, 1] [1, 3, 1] ------------ = --------- [10, 6, 3] [10, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [10, 6, 3] [10, 3] denominator=, [10, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [10, 6, 5] [10, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [10, 6, 5] [10, 5] [1, 11, 6, 3] [1, 11, 3] ------------- = ---------- [10, 6, 5] [10, 5] [2, 12, 6, 1] [2, 12, 1] ------------- = ---------- [10, 6, 5] [10, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [10, 6, 5] [10, 5] denominator=, [10, 8, 2] [2, 8, 7] [2, 7] ---------- = ------- [10, 8, 2] [10, 2] denominator=, [10, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [10, 8, 6] [10, 6] [6, 8, 7] [6, 7] ---------- = ------- [10, 8, 6] [10, 6] [1, 1, 8, 5] [1, 1, 5] ------------ = --------- [10, 8, 6] [10, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [10, 8, 6] [10, 6] [1, 9, 8, 3] [1, 9, 3] ------------ = --------- [10, 8, 6] [10, 6] [2, 0, 8, 2] [2, 0, 2] ------------ = --------- [10, 8, 6] [10, 6] [2, 4, 8, 1] [2, 4, 1] ------------ = --------- [10, 8, 6] [10, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [10, 8, 6] [10, 6] denominator=, [10, 8, 8] [2, 0, 8, 7] [2, 0, 7] ------------ = --------- [10, 8, 8] [10, 8] [4, 6, 8, 5] [4, 6, 5] ------------ = --------- [10, 8, 8] [10, 8] [6, 12, 8, 3] [6, 12, 3] ------------- = ---------- [10, 8, 8] [10, 8] [9, 5, 8, 1] [9, 5, 1] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [11, 3, 1] [11, 1] [6, 3, 2] [6, 2] ---------- = ------- [11, 3, 1] [11, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [11, 3, 1] [11, 1] denominator=, [11, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [11, 3, 2] [11, 2] [1, 7, 3, 1] [1, 7, 1] ------------ = --------- [11, 3, 2] [11, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [11, 3, 2] [11, 2] denominator=, [11, 4, 3] [2, 2, 4, 1] [2, 2, 1] ------------ = --------- [11, 4, 3] [11, 3] denominator=, [11, 8, 2] [4, 8, 6] [4, 6] ---------- = ------- [11, 8, 2] [11, 2] denominator=, [11, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [11, 8, 4] [11, 4] [6, 8, 6] [6, 6] ---------- = ------- [11, 8, 4] [11, 4] [1, 3, 8, 2] [1, 3, 2] ------------ = --------- [11, 8, 4] [11, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [11, 8, 4] [11, 4] denominator=, [11, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [11, 8, 7] [11, 7] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [11, 8, 7] [11, 7] [1, 12, 8, 5] [1, 12, 5] ------------- = ---------- [11, 8, 7] [11, 7] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [11, 8, 7] [11, 7] [3, 0, 8, 3] [3, 0, 3] ------------ = --------- [11, 8, 7] [11, 7] [4, 1, 8, 1] [4, 1, 1] ------------ = --------- [11, 8, 7] [11, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [11, 8, 7] [11, 7] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 3] [5, 12, 8] [5, 8] ----------- = ------- [11, 12, 3] [11, 3] denominator=, [11, 12, 4] [3, 12, 10] [3, 10] ----------- = ------- [11, 12, 4] [11, 4] [7, 12, 7] [7, 7] ----------- = ------- [11, 12, 4] [11, 4] [1, 2, 12, 1] [1, 2, 1] ------------- = --------- [11, 12, 4] [11, 4] denominator=, [11, 12, 5] [2, 12, 11] [2, 11] ----------- = ------- [11, 12, 5] [11, 5] [5, 12, 9] [5, 9] ----------- = ------- [11, 12, 5] [11, 5] [8, 12, 7] [8, 7] ----------- = ------- [11, 12, 5] [11, 5] [1, 1, 12, 3] [1, 1, 3] ------------- = --------- [11, 12, 5] [11, 5] [1, 4, 12, 1] [1, 4, 1] ------------- = --------- [11, 12, 5] [11, 5] denominator=, [11, 12, 7] [1, 12, 12] [1, 12] ----------- = ------- [11, 12, 7] [11, 7] [3, 12, 11] [3, 11] ----------- = ------- [11, 12, 7] [11, 7] [5, 12, 10] [5, 10] ----------- = ------- [11, 12, 7] [11, 7] [7, 12, 9] [7, 9] ----------- = ------- [11, 12, 7] [11, 7] [9, 12, 8] [9, 8] ----------- = ------- [11, 12, 7] [11, 7] [1, 0, 12, 6] [1, 0, 6] ------------- = --------- [11, 12, 7] [11, 7] [1, 2, 12, 5] [1, 2, 5] ------------- = --------- [11, 12, 7] [11, 7] [1, 4, 12, 4] [1, 4, 4] ------------- = --------- [11, 12, 7] [11, 7] [1, 6, 12, 3] [1, 6, 3] ------------- = --------- [11, 12, 7] [11, 7] [1, 8, 12, 2] [1, 8, 2] ------------- = --------- [11, 12, 7] [11, 7] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [11, 12, 7] [11, 7] denominator=, [11, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [11, 12, 9] [11, 9] [5, 12, 11] [5, 11] ----------- = ------- [11, 12, 9] [11, 9] [8, 12, 10] [8, 10] ----------- = ------- [11, 12, 9] [11, 9] [1, 1, 12, 8] [1, 1, 8] ------------- = --------- [11, 12, 9] [11, 9] [1, 4, 12, 7] [1, 4, 7] ------------- = --------- [11, 12, 9] [11, 9] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [11, 12, 9] [11, 9] [2, 0, 12, 4] [2, 0, 4] ------------- = --------- [11, 12, 9] [11, 9] [2, 3, 12, 3] [2, 3, 3] ------------- = --------- [11, 12, 9] [11, 9] [2, 6, 12, 2] [2, 6, 2] ------------- = --------- [11, 12, 9] [11, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [11, 12, 9] [11, 9] denominator=, [11, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [11, 12, 10] [11, 10] [7, 12, 11] [7, 11] ------------ = -------- [11, 12, 10] [11, 10] [1, 2, 12, 9] [1, 2, 9] ------------- = --------- [11, 12, 10] [11, 10] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [11, 12, 10] [11, 10] [2, 1, 12, 6] [2, 1, 6] ------------- = --------- [11, 12, 10] [11, 10] [2, 5, 12, 5] [2, 5, 5] ------------- = --------- [11, 12, 10] [11, 10] [3, 0, 12, 3] [3, 0, 3] ------------- = --------- [11, 12, 10] [11, 10] [3, 4, 12, 2] [3, 4, 2] ------------- = --------- [11, 12, 10] [11, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [11, 12, 10] [11, 10] denominator=, [11, 12, 11] [5, 12, 12] [5, 12] ------------ = -------- [11, 12, 11] [11, 11] [1, 4, 12, 10] [1, 4, 10] -------------- = ---------- [11, 12, 11] [11, 11] [2, 3, 12, 8] [2, 3, 8] ------------- = --------- [11, 12, 11] [11, 11] [3, 2, 12, 6] [3, 2, 6] ------------- = --------- [11, 12, 11] [11, 11] [4, 1, 12, 4] [4, 1, 4] ------------- = --------- [11, 12, 11] [11, 11] [5, 0, 12, 2] [5, 0, 2] ------------- = --------- [11, 12, 11] [11, 11] [5, 12, 12, 0] [5, 12, 0] -------------- = ---------- [11, 12, 11] [11, 11] denominator=, [12, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [12, 6, 4] [12, 4] [7, 6, 5] [7, 5] ---------- = ------- [12, 6, 4] [12, 4] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [12, 6, 4] [12, 4] [1, 9, 6, 2] [1, 9, 2] ------------ = --------- [12, 6, 4] [12, 4] [2, 1, 6, 1] [2, 1, 1] ------------ = --------- [12, 6, 4] [12, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [12, 6, 4] [12, 4] denominator=, [12, 8, 6] [2, 5, 8, 2] [2, 5, 2] ------------ = --------- [12, 8, 6] [12, 6] denominator=, [12, 8, 8] [2, 5, 8, 7] [2, 5, 7] ------------ = --------- [12, 8, 8] [12, 8] [5, 4, 8, 5] [5, 4, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 3, 8, 3] [8, 3, 3] ------------ = --------- [12, 8, 8] [12, 8] [11, 2, 8, 1] [11, 2, 1] ------------- = ---------- [12, 8, 8] [12, 8] denominator=, [12, 9, 6] [2, 3, 9, 1] [2, 3, 1] ------------ = --------- [12, 9, 6] [12, 6] denominator=, [12, 9, 9] [2, 3, 9, 8] [2, 3, 8] ------------ = --------- [12, 9, 9] [12, 9] [3, 7, 9, 7] [3, 7, 7] ------------ = --------- [12, 9, 9] [12, 9] [6, 2, 9, 5] [6, 2, 5] ------------ = --------- [12, 9, 9] [12, 9] [7, 6, 9, 4] [7, 6, 4] ------------ = --------- [12, 9, 9] [12, 9] [10, 1, 9, 2] [10, 1, 2] ------------- = ---------- [12, 9, 9] [12, 9] [11, 5, 9, 1] [11, 5, 1] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [12, 10, 5] [12, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [12, 10, 5] [12, 5] denominator=, [12, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [12, 10, 9] [12, 9] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [12, 10, 9] [12, 9] [2, 0, 10, 7] [2, 0, 7] ------------- = --------- [12, 10, 9] [12, 9] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [12, 10, 9] [12, 9] [3, 1, 10, 5] [3, 1, 5] ------------- = --------- [12, 10, 9] [12, 9] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [12, 10, 9] [12, 9] [4, 2, 10, 3] [4, 2, 3] ------------- = --------- [12, 10, 9] [12, 9] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [12, 10, 9] [12, 9] [5, 3, 10, 1] [5, 3, 1] ------------- = --------- [12, 10, 9] [12, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [12, 10, 9] [12, 9] denominator=, [12, 11, 9] [3, 4, 11, 2] [3, 4, 2] ------------- = --------- [12, 11, 9] [12, 9] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 2] [6, 5, 0] [5, 0] --------- = ------ [1, 6, 2] [1, 2] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 2] [8, 6, 0] [6, 0] --------- = ------ [1, 8, 2] [1, 2] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 1] [9, 6, 0] [6, 0] --------- = ------ [1, 9, 1] [1, 1] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 1] [12, 7, 0] [7, 0] ---------- = ------ [1, 12, 1] [1, 1] denominator=, [1, 12, 3] [12, 8, 0] [8, 0] ---------- = ------ [1, 12, 3] [1, 3] denominator=, [1, 12, 5] [12, 9, 0] [9, 0] ---------- = ------ [1, 12, 5] [1, 5] [2, 12, 1, 0] [2, 1, 0] ------------- = --------- [1, 12, 5] [1, 5] denominator=, [1, 12, 7] [12, 10, 0] [10, 0] ----------- = ------- [1, 12, 7] [1, 7] [2, 12, 4, 0] [2, 4, 0] ------------- = --------- [1, 12, 7] [1, 7] denominator=, [1, 12, 9] [12, 11, 0] [11, 0] ----------- = ------- [1, 12, 9] [1, 9] [2, 12, 7, 0] [2, 7, 0] ------------- = --------- [1, 12, 9] [1, 9] [4, 12, 3, 0] [4, 3, 0] ------------- = --------- [1, 12, 9] [1, 9] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 2] [8, 7, 0] [7, 0] --------- = ------ [2, 8, 2] [2, 2] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 8, 8] [6, 8, 7, 0] [6, 7, 0] ------------ = --------- [2, 8, 8] [2, 8] [1, 1, 8, 5, 0] [1, 1, 5, 0] --------------- = ------------ [2, 8, 8] [2, 8] [1, 9, 8, 3, 0] [1, 9, 3, 0] --------------- = ------------ [2, 8, 8] [2, 8] [2, 4, 8, 1, 0] [2, 4, 1, 0] --------------- = ------------ [2, 8, 8] [2, 8] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 1] [12, 9, 0] [9, 0] ---------- = ------ [2, 12, 1] [2, 1] [1, 12, 5, 0] [1, 5, 0] ------------- = --------- [2, 12, 1] [2, 1] denominator=, [2, 12, 4] [12, 10, 0] [10, 0] ----------- = ------- [2, 12, 4] [2, 4] [1, 12, 7, 0] [1, 7, 0] ------------- = --------- [2, 12, 4] [2, 4] [3, 12, 1, 0] [3, 1, 0] ------------- = --------- [2, 12, 4] [2, 4] denominator=, [2, 12, 7] [12, 11, 0] [11, 0] ----------- = ------- [2, 12, 7] [2, 7] [1, 12, 9, 0] [1, 9, 0] ------------- = --------- [2, 12, 7] [2, 7] [3, 12, 5, 0] [3, 5, 0] ------------- = --------- [2, 12, 7] [2, 7] [4, 12, 3, 0] [4, 3, 0] ------------- = --------- [2, 12, 7] [2, 7] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 4, 3] [8, 4, 1, 0] [8, 1, 0] ------------ = --------- [3, 4, 3] [3, 3] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 1] [9, 8, 0] [8, 0] --------- = ------ [3, 9, 1] [3, 1] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 9] [8, 9, 8, 0] [8, 8, 0] ------------ = --------- [3, 9, 9] [3, 9] [1, 0, 9, 7, 0] [1, 0, 7, 0] --------------- = ------------ [3, 9, 9] [3, 9] [1, 10, 9, 5, 0] [1, 10, 5, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 2, 9, 4, 0] [2, 2, 4, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 12, 9, 2, 0] [2, 12, 2, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [3, 4, 9, 1, 0] [3, 4, 1, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 1] [12, 10, 0] [10, 0] ----------- = ------- [3, 12, 1] [3, 1] [1, 12, 7, 0] [1, 7, 0] ------------- = --------- [3, 12, 1] [3, 1] [2, 12, 4, 0] [2, 4, 0] ------------- = --------- [3, 12, 1] [3, 1] denominator=, [3, 12, 3] [1, 12, 8, 0] [1, 8, 0] ------------- = --------- [3, 12, 3] [3, 3] denominator=, [3, 12, 5] [12, 11, 0] [11, 0] ----------- = ------- [3, 12, 5] [3, 5] [1, 12, 9, 0] [1, 9, 0] ------------- = --------- [3, 12, 5] [3, 5] [2, 12, 7, 0] [2, 7, 0] ------------- = --------- [3, 12, 5] [3, 5] [4, 12, 3, 0] [4, 3, 0] ------------- = --------- [3, 12, 5] [3, 5] [5, 12, 1, 0] [5, 1, 0] ------------- = --------- [3, 12, 5] [3, 5] denominator=, [3, 12, 7] [1, 12, 10, 0] [1, 10, 0] -------------- = ---------- [3, 12, 7] [3, 7] [5, 12, 4, 0] [5, 4, 0] ------------- = --------- [3, 12, 7] [3, 7] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 12, 11] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [3, 12, 11] [3, 11] [5, 12, 10, 0] [5, 10, 0] -------------- = ---------- [3, 12, 11] [3, 11] [9, 12, 8, 0] [9, 8, 0] ------------- = --------- [3, 12, 11] [3, 11] [1, 0, 12, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [3, 12, 11] [3, 11] [1, 4, 12, 4, 0] [1, 4, 4, 0] ---------------- = ------------ [3, 12, 11] [3, 11] [1, 8, 12, 2, 0] [1, 8, 2, 0] ---------------- = ------------ [3, 12, 11] [3, 11] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [3, 12, 11] [3, 11] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 6, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [4, 6, 5] [4, 5] [7, 6, 4, 0] [7, 4, 0] ------------ = --------- [4, 6, 5] [4, 5] [10, 6, 3, 0] [10, 3, 0] ------------- = ---------- [4, 6, 5] [4, 5] [1, 3, 6, 1, 0] [1, 3, 1, 0] --------------- = ------------ [4, 6, 5] [4, 5] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [4, 6, 5] [4, 5] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 6] [11, 8, 2, 0] [11, 2, 0] ------------- = ---------- [4, 8, 6] [4, 6] denominator=, [4, 8, 8] [11, 8, 7, 0] [11, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 12, 8, 5, 0] [1, 12, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 0, 8, 3, 0] [3, 0, 3, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 1, 8, 1, 0] [4, 1, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 12, 3] [12, 11, 0] [11, 0] ----------- = ------- [4, 12, 3] [4, 3] [1, 12, 9, 0] [1, 9, 0] ------------- = --------- [4, 12, 3] [4, 3] [2, 12, 7, 0] [2, 7, 0] ------------- = --------- [4, 12, 3] [4, 3] [3, 12, 5, 0] [3, 5, 0] ------------- = --------- [4, 12, 3] [4, 3] [5, 12, 1, 0] [5, 1, 0] ------------- = --------- [4, 12, 3] [4, 3] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [5, 4, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [5, 4, 3] [5, 3] [9, 4, 2, 0] [9, 2, 0] ------------ = --------- [5, 4, 3] [5, 3] [1, 0, 4, 1, 0] [1, 0, 1, 0] --------------- = ------------ [5, 4, 3] [5, 3] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [5, 4, 3] [5, 3] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 10] [12, 10, 9, 0] [12, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 0, 10, 7, 0] [2, 0, 7, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 2, 10, 3, 0] [4, 2, 3, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 3, 10, 1, 0] [5, 3, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 12, 1] [12, 11, 0] [11, 0] ----------- = ------- [5, 12, 1] [5, 1] [1, 12, 9, 0] [1, 9, 0] ------------- = --------- [5, 12, 1] [5, 1] [2, 12, 7, 0] [2, 7, 0] ------------- = --------- [5, 12, 1] [5, 1] [3, 12, 5, 0] [3, 5, 0] ------------- = --------- [5, 12, 1] [5, 1] [4, 12, 3, 0] [4, 3, 0] ------------- = --------- [5, 12, 1] [5, 1] denominator=, [5, 12, 3] [2, 12, 8, 0] [2, 8, 0] ------------- = --------- [5, 12, 3] [5, 3] denominator=, [5, 12, 4] [1, 12, 10, 0] [1, 10, 0] -------------- = ---------- [5, 12, 4] [5, 4] [3, 12, 7, 0] [3, 7, 0] ------------- = --------- [5, 12, 4] [5, 4] [7, 12, 1, 0] [7, 1, 0] ------------- = --------- [5, 12, 4] [5, 4] denominator=, [5, 12, 5] [2, 12, 9, 0] [2, 9, 0] ------------- = --------- [5, 12, 5] [5, 5] [8, 12, 1, 0] [8, 1, 0] ------------- = --------- [5, 12, 5] [5, 5] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 12, 9] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [5, 12, 9] [5, 9] [8, 12, 7, 0] [8, 7, 0] ------------- = --------- [5, 12, 9] [5, 9] [1, 1, 12, 3, 0] [1, 1, 3, 0] ---------------- = ------------ [5, 12, 9] [5, 9] denominator=, [5, 12, 10] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [5, 12, 10] [5, 10] [3, 12, 11, 0] [3, 11, 0] -------------- = ---------- [5, 12, 10] [5, 10] [7, 12, 9, 0] [7, 9, 0] ------------- = --------- [5, 12, 10] [5, 10] [9, 12, 8, 0] [9, 8, 0] ------------- = --------- [5, 12, 10] [5, 10] [1, 0, 12, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [5, 12, 10] [5, 10] [1, 2, 12, 5, 0] [1, 2, 5, 0] ---------------- = ------------ [5, 12, 10] [5, 10] [1, 6, 12, 3, 0] [1, 6, 3, 0] ---------------- = ------------ [5, 12, 10] [5, 10] [1, 8, 12, 2, 0] [1, 8, 2, 0] ---------------- = ------------ [5, 12, 10] [5, 10] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [5, 12, 10] [5, 10] denominator=, [5, 12, 11] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [5, 12, 11] [5, 11] [8, 12, 10, 0] [8, 10, 0] -------------- = ---------- [5, 12, 11] [5, 11] [1, 1, 12, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [5, 12, 11] [5, 11] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [5, 12, 11] [5, 11] [2, 0, 12, 4, 0] [2, 0, 4, 0] ---------------- = ------------ [5, 12, 11] [5, 11] [2, 6, 12, 2, 0] [2, 6, 2, 0] ---------------- = ------------ [5, 12, 11] [5, 11] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [5, 12, 11] [5, 11] denominator=, [6, 3, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [6, 3, 2] [6, 2] [11, 3, 1, 0] [11, 1, 0] ------------- = ---------- [6, 3, 2] [6, 2] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [6, 3, 2] [6, 2] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 8, 6] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [6, 8, 6] [6, 6] [11, 8, 4, 0] [11, 4, 0] ------------- = ---------- [6, 8, 6] [6, 6] [1, 3, 8, 2, 0] [1, 3, 2, 0] --------------- = ------------ [6, 8, 6] [6, 6] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [6, 8, 6] [6, 6] denominator=, [6, 8, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [6, 8, 7] [6, 7] [10, 8, 6, 0] [10, 6, 0] ------------- = ---------- [6, 8, 7] [6, 7] [1, 1, 8, 5, 0] [1, 1, 5, 0] --------------- = ------------ [6, 8, 7] [6, 7] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [6, 8, 7] [6, 7] [1, 9, 8, 3, 0] [1, 9, 3, 0] --------------- = ------------ [6, 8, 7] [6, 7] [2, 4, 8, 1, 0] [2, 4, 1, 0] --------------- = ------------ [6, 8, 7] [6, 7] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [6, 8, 7] [6, 7] denominator=, [6, 8, 8] [1, 3, 8, 7, 0] [1, 3, 7, 0] --------------- = ------------ [6, 8, 8] [6, 8] [2, 10, 8, 5, 0] [2, 10, 5, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [4, 4, 8, 3, 0] [4, 4, 3, 0] --------------- = ------------ [6, 8, 8] [6, 8] [5, 11, 8, 1, 0] [5, 11, 1, 0] ---------------- = ------------- [6, 8, 8] [6, 8] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 6] [1, 2, 9, 1, 0] [1, 2, 1, 0] --------------- = ------------ [6, 9, 6] [6, 6] denominator=, [6, 9, 9] [1, 2, 9, 8, 0] [1, 2, 8, 0] --------------- = ------------ [6, 9, 9] [6, 9] [1, 11, 9, 7, 0] [1, 11, 7, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [3, 3, 9, 5, 0] [3, 3, 5, 0] --------------- = ------------ [6, 9, 9] [6, 9] [3, 12, 9, 4, 0] [3, 12, 4, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [5, 4, 9, 2, 0] [5, 4, 2, 0] --------------- = ------------ [6, 9, 9] [6, 9] [6, 0, 9, 1, 0] [6, 0, 1, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [7, 4, 3] [1, 5, 4, 1, 0] [1, 5, 1, 0] --------------- = ------------ [7, 4, 3] [7, 3] denominator=, [7, 6, 2] [2, 6, 5, 0] [2, 5, 0] ------------ = --------- [7, 6, 2] [7, 2] denominator=, [7, 6, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [7, 6, 4] [7, 4] [4, 6, 5, 0] [4, 5, 0] ------------ = --------- [7, 6, 4] [7, 4] [10, 6, 3, 0] [10, 3, 0] ------------- = ---------- [7, 6, 4] [7, 4] [1, 0, 6, 2, 0] [1, 0, 2, 0] --------------- = ------------ [7, 6, 4] [7, 4] [1, 3, 6, 1, 0] [1, 3, 1, 0] --------------- = ------------ [7, 6, 4] [7, 4] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [7, 6, 4] [7, 4] denominator=, [7, 6, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [7, 6, 5] [7, 5] [12, 6, 4, 0] [12, 4, 0] ------------- = ---------- [7, 6, 5] [7, 5] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [7, 6, 5] [7, 5] [2, 1, 6, 1, 0] [2, 1, 1, 0] --------------- = ------------ [7, 6, 5] [7, 5] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [7, 6, 5] [7, 5] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 9] [2, 0, 11, 2, 0] [2, 0, 2, 0] ---------------- = ------------ [7, 11, 9] [7, 9] denominator=, [7, 12, 1] [1, 12, 10, 0] [1, 10, 0] -------------- = ---------- [7, 12, 1] [7, 1] [3, 12, 7, 0] [3, 7, 0] ------------- = --------- [7, 12, 1] [7, 1] [5, 12, 4, 0] [5, 4, 0] ------------- = --------- [7, 12, 1] [7, 1] denominator=, [7, 12, 3] [3, 12, 8, 0] [3, 8, 0] ------------- = --------- [7, 12, 3] [7, 3] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 12, 7] [3, 12, 10, 0] [3, 10, 0] -------------- = ---------- [7, 12, 7] [7, 7] [11, 12, 4, 0] [11, 4, 0] -------------- = ---------- [7, 12, 7] [7, 7] denominator=, [7, 12, 9] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [7, 12, 9] [7, 9] [3, 12, 11, 0] [3, 11, 0] -------------- = ---------- [7, 12, 9] [7, 9] [5, 12, 10, 0] [5, 10, 0] -------------- = ---------- [7, 12, 9] [7, 9] [9, 12, 8, 0] [9, 8, 0] ------------- = --------- [7, 12, 9] [7, 9] [11, 12, 7, 0] [11, 7, 0] -------------- = ---------- [7, 12, 9] [7, 9] [1, 0, 12, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [7, 12, 9] [7, 9] [1, 4, 12, 4, 0] [1, 4, 4, 0] ---------------- = ------------ [7, 12, 9] [7, 9] [1, 6, 12, 3, 0] [1, 6, 3, 0] ---------------- = ------------ [7, 12, 9] [7, 9] [1, 8, 12, 2, 0] [1, 8, 2, 0] ---------------- = ------------ [7, 12, 9] [7, 9] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [7, 12, 9] [7, 9] denominator=, [7, 12, 11] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [7, 12, 11] [7, 11] [11, 12, 10, 0] [11, 10, 0] --------------- = ----------- [7, 12, 11] [7, 11] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [7, 12, 11] [7, 11] [2, 1, 12, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [7, 12, 11] [7, 11] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [7, 12, 11] [7, 11] [3, 4, 12, 2, 0] [3, 4, 2, 0] ---------------- = ------------ [7, 12, 11] [7, 11] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [7, 12, 11] [7, 11] denominator=, [8, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [8, 2, 1] [8, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [8, 2, 1] [8, 1] denominator=, [8, 4, 1] [3, 4, 3, 0] [3, 3, 0] ------------ = --------- [8, 4, 1] [8, 1] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [1, 8, 7, 5] [1, 7, 5] ------------ = --------- [8, 8, 2] [8, 2] [3, 8, 5, 11] [3, 5, 11] ------------- = ---------- [8, 8, 2] [8, 2] [5, 8, 4, 4] [5, 4, 4] ------------ = --------- [8, 8, 2] [8, 2] [7, 8, 2, 10] [7, 2, 10] ------------- = ---------- [8, 8, 2] [8, 2] [9, 8, 1, 3] [9, 1, 3] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 10] [1, 7, 10] ------------- = ---------- [8, 8, 4] [8, 4] [3, 8, 6, 9] [3, 6, 9] ------------ = --------- [8, 8, 4] [8, 4] [5, 8, 5, 8] [5, 5, 8] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 7] [7, 4, 7] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 6] [9, 3, 6] ------------ = --------- [8, 8, 4] [8, 4] [11, 8, 2, 5] [11, 2, 5] ------------- = ---------- [8, 8, 4] [8, 4] [1, 0, 8, 1, 4] [1, 0, 1, 4] --------------- = ------------ [8, 8, 4] [8, 4] [1, 2, 8, 0, 3] [1, 2, 0, 3] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [1, 8, 8, 2] [1, 8, 2] ------------ = --------- [8, 8, 6] [8, 6] [3, 8, 7, 7] [3, 7, 7] ------------ = --------- [8, 8, 6] [8, 6] [5, 8, 6, 12] [5, 6, 12] ------------- = ---------- [8, 8, 6] [8, 6] [7, 8, 6, 4] [7, 6, 4] ------------ = --------- [8, 8, 6] [8, 6] [9, 8, 5, 9] [9, 5, 9] ------------ = --------- [8, 8, 6] [8, 6] [11, 8, 5, 1] [11, 5, 1] ------------- = ---------- [8, 8, 6] [8, 6] [1, 0, 8, 4, 6] [1, 0, 4, 6] --------------- = ------------ [8, 8, 6] [8, 6] [1, 2, 8, 3, 11] [1, 2, 3, 11] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 4, 8, 3, 3] [1, 4, 3, 3] --------------- = ------------ [8, 8, 6] [8, 6] [1, 6, 8, 2, 8] [1, 6, 2, 8] --------------- = ------------ [8, 8, 6] [8, 6] [1, 8, 8, 2, 0] [1, 8, 2, 0] --------------- = ------------ [8, 8, 6] [8, 6] [1, 10, 8, 1, 5] [1, 10, 1, 5] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 12, 8, 0, 10] [1, 12, 0, 10] ----------------- = -------------- [8, 8, 6] [8, 6] [2, 1, 8, 0, 2] [2, 1, 0, 2] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [8, 9, 6] [8, 6] [1, 2, 9, 3, 0] [1, 2, 3, 0] --------------- = ------------ [8, 9, 6] [8, 6] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [8, 9, 6] [8, 6] denominator=, [8, 9, 8] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [8, 9, 8] [8, 8] [1, 0, 9, 7, 0] [1, 0, 7, 0] --------------- = ------------ [8, 9, 8] [8, 8] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [8, 9, 8] [8, 8] [1, 10, 9, 5, 0] [1, 10, 5, 0] ---------------- = ------------- [8, 9, 8] [8, 8] [2, 2, 9, 4, 0] [2, 2, 4, 0] --------------- = ------------ [8, 9, 8] [8, 8] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 9, 8] [8, 8] [2, 12, 9, 2, 0] [2, 12, 2, 0] ---------------- = ------------- [8, 9, 8] [8, 8] [3, 9, 9, 0, 0] [3, 9, 0, 0] --------------- = ------------ [8, 9, 8] [8, 8] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 1] [2, 12, 9, 0] [2, 9, 0] ------------- = --------- [8, 12, 1] [8, 1] [5, 12, 5, 0] [5, 5, 0] ------------- = --------- [8, 12, 1] [8, 1] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 7] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [8, 12, 7] [8, 7] [5, 12, 9, 0] [5, 9, 0] ------------- = --------- [8, 12, 7] [8, 7] [11, 12, 5, 0] [11, 5, 0] -------------- = ---------- [8, 12, 7] [8, 7] [1, 1, 12, 3, 0] [1, 1, 3, 0] ---------------- = ------------ [8, 12, 7] [8, 7] denominator=, [8, 12, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [8, 12, 10] [8, 10] [5, 12, 11, 0] [5, 11, 0] -------------- = ---------- [8, 12, 10] [8, 10] [11, 12, 9, 0] [11, 9, 0] -------------- = ---------- [8, 12, 10] [8, 10] [1, 1, 12, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [8, 12, 10] [8, 10] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [8, 12, 10] [8, 10] [1, 10, 12, 5, 0] [1, 10, 5, 0] ----------------- = ------------- [8, 12, 10] [8, 10] [2, 3, 12, 3, 0] [2, 3, 3, 0] ---------------- = ------------ [8, 12, 10] [8, 10] [2, 6, 12, 2, 0] [2, 6, 2, 0] ---------------- = ------------ [8, 12, 10] [8, 10] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [8, 12, 10] [8, 10] denominator=, [9, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [9, 4, 2] [9, 2] [5, 4, 3, 0] [5, 3, 0] ------------ = --------- [9, 4, 2] [9, 2] [1, 0, 4, 1, 0] [1, 0, 1, 0] --------------- = ------------ [9, 4, 2] [9, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [9, 4, 2] [9, 2] denominator=, [9, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [9, 4, 3] [9, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [9, 4, 3] [9, 3] [1, 10, 4, 1, 0] [1, 10, 1, 0] ---------------- = ------------- [9, 4, 3] [9, 3] [2, 4, 4, 0, 0] [2, 4, 0, 0] --------------- = ------------ [9, 4, 3] [9, 3] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [1, 9, 8, 7] [1, 8, 7] ------------ = --------- [9, 9, 3] [9, 3] [2, 9, 7, 11] [2, 7, 11] ------------- = ---------- [9, 9, 3] [9, 3] [4, 9, 6, 6] [4, 6, 6] ------------ = --------- [9, 9, 3] [9, 3] [5, 9, 5, 10] [5, 5, 10] ------------- = ---------- [9, 9, 3] [9, 3] [7, 9, 4, 5] [7, 4, 5] ------------ = --------- [9, 9, 3] [9, 3] [8, 9, 3, 9] [8, 3, 9] ------------ = --------- [9, 9, 3] [9, 3] [10, 9, 2, 4] [10, 2, 4] ------------- = ---------- [9, 9, 3] [9, 3] [11, 9, 1, 8] [11, 1, 8] ------------- = ---------- [9, 9, 3] [9, 3] [1, 0, 9, 0, 3] [1, 0, 0, 3] --------------- = ------------ [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [1, 9, 9, 1] [1, 9, 1] ------------ = --------- [9, 9, 6] [9, 6] [2, 9, 8, 9] [2, 8, 9] ------------ = --------- [9, 9, 6] [9, 6] [4, 9, 7, 12] [4, 7, 12] ------------- = ---------- [9, 9, 6] [9, 6] [5, 9, 7, 7] [5, 7, 7] ------------ = --------- [9, 9, 6] [9, 6] [7, 9, 6, 10] [7, 6, 10] ------------- = ---------- [9, 9, 6] [9, 6] [8, 9, 6, 5] [8, 6, 5] ------------ = --------- [9, 9, 6] [9, 6] [10, 9, 5, 8] [10, 5, 8] ------------- = ---------- [9, 9, 6] [9, 6] [11, 9, 5, 3] [11, 5, 3] ------------- = ---------- [9, 9, 6] [9, 6] [1, 0, 9, 4, 6] [1, 0, 4, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 1, 9, 4, 1] [1, 1, 4, 1] --------------- = ------------ [9, 9, 6] [9, 6] [1, 3, 9, 3, 4] [1, 3, 3, 4] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 2, 12] [1, 4, 2, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 2, 2] [1, 6, 2, 2] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 1, 10] [1, 7, 1, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 9, 9, 1, 0] [1, 9, 1, 0] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 0, 8] [1, 10, 0, 8] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 11, 9] [2, 0, 11, 4, 0] [2, 0, 4, 0] ---------------- = ------------ [9, 11, 9] [9, 9] denominator=, [9, 12, 1] [4, 12, 7, 0] [4, 7, 0] ------------- = --------- [9, 12, 1] [9, 1] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 5] [4, 12, 9, 0] [4, 9, 0] ------------- = --------- [9, 12, 5] [9, 5] [1, 1, 12, 1, 0] [1, 1, 1, 0] ---------------- = ------------ [9, 12, 5] [9, 5] denominator=, [9, 12, 7] [4, 12, 10, 0] [4, 10, 0] -------------- = ---------- [9, 12, 7] [9, 7] [1, 1, 12, 4, 0] [1, 1, 4, 0] ---------------- = ------------ [9, 12, 7] [9, 7] denominator=, [9, 12, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [9, 12, 8] [9, 8] [3, 12, 11, 0] [3, 11, 0] -------------- = ---------- [9, 12, 8] [9, 8] [5, 12, 10, 0] [5, 10, 0] -------------- = ---------- [9, 12, 8] [9, 8] [7, 12, 9, 0] [7, 9, 0] ------------- = --------- [9, 12, 8] [9, 8] [11, 12, 7, 0] [11, 7, 0] -------------- = ---------- [9, 12, 8] [9, 8] [1, 0, 12, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [9, 12, 8] [9, 8] [1, 2, 12, 5, 0] [1, 2, 5, 0] ---------------- = ------------ [9, 12, 8] [9, 8] [1, 4, 12, 4, 0] [1, 4, 4, 0] ---------------- = ------------ [9, 12, 8] [9, 8] [1, 8, 12, 2, 0] [1, 8, 2, 0] ---------------- = ------------ [9, 12, 8] [9, 8] [1, 10, 12, 1, 0] [1, 10, 1, 0] ----------------- = ------------- [9, 12, 8] [9, 8] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [9, 12, 8] [9, 8] denominator=, [9, 12, 9] [4, 12, 11, 0] [4, 11, 0] -------------- = ---------- [9, 12, 9] [9, 9] [1, 1, 12, 7, 0] [1, 1, 7, 0] ---------------- = ------------ [9, 12, 9] [9, 9] [1, 11, 12, 3, 0] [1, 11, 3, 0] ----------------- = ------------- [9, 12, 9] [9, 9] denominator=, [9, 12, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [9, 12, 11] [9, 11] [1, 1, 12, 10, 0] [1, 1, 10, 0] ----------------- = ------------- [9, 12, 11] [9, 11] [1, 11, 12, 8, 0] [1, 11, 8, 0] ----------------- = ------------- [9, 12, 11] [9, 11] [2, 8, 12, 6, 0] [2, 8, 6, 0] ---------------- = ------------ [9, 12, 11] [9, 11] [3, 5, 12, 4, 0] [3, 5, 4, 0] ---------------- = ------------ [9, 12, 11] [9, 11] [4, 2, 12, 2, 0] [4, 2, 2, 0] ---------------- = ------------ [9, 12, 11] [9, 11] [4, 12, 12, 0, 0] [4, 12, 0, 0] ----------------- = ------------- [9, 12, 11] [9, 11] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 6, 2] [3, 6, 5, 0] [3, 5, 0] ------------ = --------- [10, 6, 2] [10, 2] denominator=, [10, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [10, 6, 3] [10, 3] [4, 6, 5, 0] [4, 5, 0] ------------ = --------- [10, 6, 3] [10, 3] [7, 6, 4, 0] [7, 4, 0] ------------ = --------- [10, 6, 3] [10, 3] [1, 0, 6, 2, 0] [1, 0, 2, 0] --------------- = ------------ [10, 6, 3] [10, 3] [1, 3, 6, 1, 0] [1, 3, 1, 0] --------------- = ------------ [10, 6, 3] [10, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [10, 6, 3] [10, 3] denominator=, [10, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [10, 6, 5] [10, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [10, 6, 5] [10, 5] [1, 11, 6, 3, 0] [1, 11, 3, 0] ---------------- = ------------- [10, 6, 5] [10, 5] [2, 12, 6, 1, 0] [2, 12, 1, 0] ---------------- = ------------- [10, 6, 5] [10, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [10, 6, 5] [10, 5] denominator=, [10, 8, 2] [2, 8, 7, 0] [2, 7, 0] ------------ = --------- [10, 8, 2] [10, 2] denominator=, [10, 8, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [10, 8, 6] [10, 6] [6, 8, 7, 0] [6, 7, 0] ------------ = --------- [10, 8, 6] [10, 6] [1, 1, 8, 5, 0] [1, 1, 5, 0] --------------- = ------------ [10, 8, 6] [10, 6] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [10, 8, 6] [10, 6] [1, 9, 8, 3, 0] [1, 9, 3, 0] --------------- = ------------ [10, 8, 6] [10, 6] [2, 0, 8, 2, 0] [2, 0, 2, 0] --------------- = ------------ [10, 8, 6] [10, 6] [2, 4, 8, 1, 0] [2, 4, 1, 0] --------------- = ------------ [10, 8, 6] [10, 6] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [10, 8, 6] [10, 6] denominator=, [10, 8, 8] [2, 0, 8, 7, 0] [2, 0, 7, 0] --------------- = ------------ [10, 8, 8] [10, 8] [4, 6, 8, 5, 0] [4, 6, 5, 0] --------------- = ------------ [10, 8, 8] [10, 8] [6, 12, 8, 3, 0] [6, 12, 3, 0] ---------------- = ------------- [10, 8, 8] [10, 8] [9, 5, 8, 1, 0] [9, 5, 1, 0] --------------- = ------------ [10, 8, 8] [10, 8] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 11] [1, 9, 11] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 10] [3, 8, 10] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 8] [7, 6, 8] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 7] [9, 5, 7] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 6] [11, 4, 6] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 12] [12, 3, 12] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 3, 5] [1, 0, 3, 5] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 1, 10, 2, 11] [1, 1, 2, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 3, 10, 1, 10] [1, 3, 1, 10] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 1, 3] [1, 4, 1, 3] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 5, 10, 0, 9] [1, 5, 0, 9] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 6, 10, 0, 2] [1, 6, 0, 2] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [11, 3, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [11, 3, 1] [11, 1] [6, 3, 2, 0] [6, 2, 0] ------------ = --------- [11, 3, 1] [11, 1] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [11, 3, 1] [11, 1] denominator=, [11, 3, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [11, 3, 2] [11, 2] [1, 7, 3, 1, 0] [1, 7, 1, 0] --------------- = ------------ [11, 3, 2] [11, 2] [2, 3, 3, 0, 0] [2, 3, 0, 0] --------------- = ------------ [11, 3, 2] [11, 2] denominator=, [11, 4, 3] [2, 2, 4, 1, 0] [2, 2, 1, 0] --------------- = ------------ [11, 4, 3] [11, 3] denominator=, [11, 8, 2] [4, 8, 6, 0] [4, 6, 0] ------------ = --------- [11, 8, 2] [11, 2] denominator=, [11, 8, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [11, 8, 4] [11, 4] [6, 8, 6, 0] [6, 6, 0] ------------ = --------- [11, 8, 4] [11, 4] [1, 3, 8, 2, 0] [1, 3, 2, 0] --------------- = ------------ [11, 8, 4] [11, 4] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [11, 8, 4] [11, 4] denominator=, [11, 8, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [11, 8, 7] [11, 7] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [11, 8, 7] [11, 7] [1, 12, 8, 5, 0] [1, 12, 5, 0] ---------------- = ------------- [11, 8, 7] [11, 7] [2, 6, 8, 4, 0] [2, 6, 4, 0] --------------- = ------------ [11, 8, 7] [11, 7] [3, 0, 8, 3, 0] [3, 0, 3, 0] --------------- = ------------ [11, 8, 7] [11, 7] [4, 1, 8, 1, 0] [4, 1, 1, 0] --------------- = ------------ [11, 8, 7] [11, 7] [4, 8, 8, 0, 0] [4, 8, 0, 0] --------------- = ------------ [11, 8, 7] [11, 7] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 12, 3] [5, 12, 8, 0] [5, 8, 0] ------------- = --------- [11, 12, 3] [11, 3] denominator=, [11, 12, 4] [3, 12, 10, 0] [3, 10, 0] -------------- = ---------- [11, 12, 4] [11, 4] [7, 12, 7, 0] [7, 7, 0] ------------- = --------- [11, 12, 4] [11, 4] [1, 2, 12, 1, 0] [1, 2, 1, 0] ---------------- = ------------ [11, 12, 4] [11, 4] denominator=, [11, 12, 5] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [11, 12, 5] [11, 5] [5, 12, 9, 0] [5, 9, 0] ------------- = --------- [11, 12, 5] [11, 5] [8, 12, 7, 0] [8, 7, 0] ------------- = --------- [11, 12, 5] [11, 5] [1, 1, 12, 3, 0] [1, 1, 3, 0] ---------------- = ------------ [11, 12, 5] [11, 5] [1, 4, 12, 1, 0] [1, 4, 1, 0] ---------------- = ------------ [11, 12, 5] [11, 5] denominator=, [11, 12, 7] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [11, 12, 7] [11, 7] [3, 12, 11, 0] [3, 11, 0] -------------- = ---------- [11, 12, 7] [11, 7] [5, 12, 10, 0] [5, 10, 0] -------------- = ---------- [11, 12, 7] [11, 7] [7, 12, 9, 0] [7, 9, 0] ------------- = --------- [11, 12, 7] [11, 7] [9, 12, 8, 0] [9, 8, 0] ------------- = --------- [11, 12, 7] [11, 7] [1, 0, 12, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [11, 12, 7] [11, 7] [1, 2, 12, 5, 0] [1, 2, 5, 0] ---------------- = ------------ [11, 12, 7] [11, 7] [1, 4, 12, 4, 0] [1, 4, 4, 0] ---------------- = ------------ [11, 12, 7] [11, 7] [1, 6, 12, 3, 0] [1, 6, 3, 0] ---------------- = ------------ [11, 12, 7] [11, 7] [1, 8, 12, 2, 0] [1, 8, 2, 0] ---------------- = ------------ [11, 12, 7] [11, 7] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [11, 12, 7] [11, 7] denominator=, [11, 12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [11, 12, 9] [11, 9] [5, 12, 11, 0] [5, 11, 0] -------------- = ---------- [11, 12, 9] [11, 9] [8, 12, 10, 0] [8, 10, 0] -------------- = ---------- [11, 12, 9] [11, 9] [1, 1, 12, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [1, 4, 12, 7, 0] [1, 4, 7, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [2, 0, 12, 4, 0] [2, 0, 4, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [2, 3, 12, 3, 0] [2, 3, 3, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [2, 6, 12, 2, 0] [2, 6, 2, 0] ---------------- = ------------ [11, 12, 9] [11, 9] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [11, 12, 9] [11, 9] denominator=, [11, 12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [11, 12, 10] [11, 10] [7, 12, 11, 0] [7, 11, 0] -------------- = ---------- [11, 12, 10] [11, 10] [1, 2, 12, 9, 0] [1, 2, 9, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [2, 1, 12, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [2, 5, 12, 5, 0] [2, 5, 5, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [3, 0, 12, 3, 0] [3, 0, 3, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [3, 4, 12, 2, 0] [3, 4, 2, 0] ---------------- = ------------ [11, 12, 10] [11, 10] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [11, 12, 10] [11, 10] denominator=, [11, 12, 11] [5, 12, 12, 0] [5, 12, 0] -------------- = ---------- [11, 12, 11] [11, 11] [1, 4, 12, 10, 0] [1, 4, 10, 0] ----------------- = ------------- [11, 12, 11] [11, 11] [2, 3, 12, 8, 0] [2, 3, 8, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [3, 2, 12, 6, 0] [3, 2, 6, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [4, 1, 12, 4, 0] [4, 1, 4, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [5, 0, 12, 2, 0] [5, 0, 2, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [5, 12, 12, 0, 0] [5, 12, 0, 0] ----------------- = ------------- [11, 12, 11] [11, 11] denominator=, [12, 6, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [12, 6, 4] [12, 4] [7, 6, 5, 0] [7, 5, 0] ------------ = --------- [12, 6, 4] [12, 4] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [12, 6, 4] [12, 4] [1, 9, 6, 2, 0] [1, 9, 2, 0] --------------- = ------------ [12, 6, 4] [12, 4] [2, 1, 6, 1, 0] [2, 1, 1, 0] --------------- = ------------ [12, 6, 4] [12, 4] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [12, 6, 4] [12, 4] denominator=, [12, 8, 6] [2, 5, 8, 2, 0] [2, 5, 2, 0] --------------- = ------------ [12, 8, 6] [12, 6] denominator=, [12, 8, 8] [2, 5, 8, 7, 0] [2, 5, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [5, 4, 8, 5, 0] [5, 4, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 3, 8, 3, 0] [8, 3, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [11, 2, 8, 1, 0] [11, 2, 1, 0] ---------------- = ------------- [12, 8, 8] [12, 8] denominator=, [12, 9, 6] [2, 3, 9, 1, 0] [2, 3, 1, 0] --------------- = ------------ [12, 9, 6] [12, 6] denominator=, [12, 9, 9] [2, 3, 9, 8, 0] [2, 3, 8, 0] --------------- = ------------ [12, 9, 9] [12, 9] [3, 7, 9, 7, 0] [3, 7, 7, 0] --------------- = ------------ [12, 9, 9] [12, 9] [6, 2, 9, 5, 0] [6, 2, 5, 0] --------------- = ------------ [12, 9, 9] [12, 9] [7, 6, 9, 4, 0] [7, 6, 4, 0] --------------- = ------------ [12, 9, 9] [12, 9] [10, 1, 9, 2, 0] [10, 1, 2, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [11, 5, 9, 1, 0] [11, 5, 1, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 10, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [12, 10, 5] [12, 5] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [12, 10, 5] [12, 5] denominator=, [12, 10, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [12, 10, 9] [12, 9] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [2, 0, 10, 7, 0] [2, 0, 7, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [3, 1, 10, 5, 0] [3, 1, 5, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [4, 2, 10, 3, 0] [4, 2, 3, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [5, 3, 10, 1, 0] [5, 3, 1, 0] ---------------- = ------------ [12, 10, 9] [12, 9] [5, 10, 10, 0, 0] [5, 10, 0, 0] ----------------- = ------------- [12, 10, 9] [12, 9] denominator=, [12, 11, 9] [3, 4, 11, 2, 0] [3, 4, 2, 0] ---------------- = ------------ [12, 11, 9] [12, 9] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 9, 0] [2, 9] [9] --------- = ------ [2, 9, 0] [9, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 11, 0] [2, 11] [11] ---------- = ------- [2, 11, 0] [11, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 7, 0] [3, 7] [7] --------- = ------ [3, 7, 0] [7, 0] denominator=, [3, 8, 0] [3, 8] [8] --------- = ------ [3, 8, 0] [8, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 10, 0] [3, 10] [10] ---------- = ------- [3, 10, 0] [10, 0] denominator=, [3, 11, 0] [3, 11] [11] ---------- = ------- [3, 11, 0] [11, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 7, 0] [4, 7] [7] --------- = ------ [4, 7, 0] [7, 0] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 9, 0] [4, 9] [9] --------- = ------ [4, 9, 0] [9, 0] denominator=, [4, 10, 0] [4, 10] [10] ---------- = ------- [4, 10, 0] [10, 0] denominator=, [4, 11, 0] [4, 11] [11] ---------- = ------- [4, 11, 0] [11, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 12, 0] [5, 12] [12] ---------- = ------- [5, 12, 0] [12, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] [1, 6, 2] [1, 2] --------- = ------ [6, 5, 0] [5, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] [1, 8, 2] [1, 2] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] [2, 8, 2] [2, 2] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 6] [1, 8, 8, 2] [1, 8, 2] ------------ = --------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] [1, 9, 1] [1, 1] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] [3, 9, 1] [3, 1] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 6] [1, 9, 9, 1] [1, 9, 1] ------------ = --------- [9, 9, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] [1, 12, 1] [1, 1] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] [1, 12, 3] [1, 3] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] [1, 12, 5] [1, 5] ---------- = ------ [12, 9, 0] [9, 0] [2, 12, 1] [2, 1] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] [1, 12, 7] [1, 7] ----------- = ------- [12, 10, 0] [10, 0] [2, 12, 4] [2, 4] ----------- = ------- [12, 10, 0] [10, 0] [3, 12, 1] [3, 1] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] [1, 12, 9] [1, 9] ----------- = ------- [12, 11, 0] [11, 0] [2, 12, 7] [2, 7] ----------- = ------- [12, 11, 0] [11, 0] [3, 12, 5] [3, 5] ----------- = ------- [12, 11, 0] [11, 0] [4, 12, 3] [4, 3] ----------- = ------- [12, 11, 0] [11, 0] [5, 12, 1] [5, 1] ----------- = ------- [12, 11, 0] [11, 0] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 13, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [5, 3, 11] [1, 5, 0, 1] [1, 0, 1] ------------ = --------- [5, 3, 11] [3, 11] denominator=, [5, 4, 3] [1, 5, 1, 5] [1, 1, 5] ------------ = --------- [5, 4, 3] [4, 3] denominator=, [5, 4, 8] [1, 5, 2, 9] [1, 2, 9] ------------ = --------- [5, 4, 8] [4, 8] [2, 5, 0, 10] [2, 0, 10] ------------- = ---------- [5, 4, 8] [4, 8] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [7, 4, 11] [1, 7, 0, 2] [1, 0, 2] ------------ = --------- [7, 4, 11] [4, 11] denominator=, [7, 5, 5] [1, 7, 1, 8] [1, 1, 8] ------------ = --------- [7, 5, 5] [5, 5] denominator=, [7, 5, 12] [1, 7, 3, 1] [1, 3, 1] ------------ = --------- [7, 5, 12] [5, 12] [2, 7, 0, 3] [2, 0, 3] ------------ = --------- [7, 5, 12] [5, 12] denominator=, [7, 6, 6] [1, 7, 4, 7] [1, 4, 7] ------------ = --------- [7, 6, 6] [6, 6] [2, 7, 2, 8] [2, 2, 8] ------------ = --------- [7, 6, 6] [6, 6] [3, 7, 0, 9] [3, 0, 9] ------------ = --------- [7, 6, 6] [6, 6] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 3] [1, 8, 0, 1] [1, 0, 1] ------------ = --------- [8, 5, 3] [5, 3] denominator=, [8, 5, 5] [1, 8, 0, 6] [1, 0, 6] ------------ = --------- [8, 5, 5] [5, 5] denominator=, [8, 5, 7] [1, 8, 0, 11] [1, 0, 11] ------------- = ---------- [8, 5, 7] [5, 7] denominator=, [8, 5, 9] [1, 8, 1, 3] [1, 1, 3] ------------ = --------- [8, 5, 9] [5, 9] denominator=, [8, 5, 11] [1, 8, 1, 8] [1, 1, 8] ------------ = --------- [8, 5, 11] [5, 11] denominator=, [8, 6, 0] [1, 8, 2, 0] [1, 2, 0] ------------ = --------- [8, 6, 0] [6, 0] denominator=, [8, 6, 2] [1, 8, 2, 5] [1, 2, 5] ------------ = --------- [8, 6, 2] [6, 2] denominator=, [8, 6, 4] [1, 8, 2, 10] [1, 2, 10] ------------- = ---------- [8, 6, 4] [6, 4] denominator=, [8, 6, 6] [1, 8, 3, 2] [1, 3, 2] ------------ = --------- [8, 6, 6] [6, 6] denominator=, [8, 6, 8] [1, 8, 3, 7] [1, 3, 7] ------------ = --------- [8, 6, 8] [6, 8] denominator=, [8, 6, 10] [1, 8, 3, 12] [1, 3, 12] ------------- = ---------- [8, 6, 10] [6, 10] denominator=, [8, 6, 12] [1, 8, 4, 4] [1, 4, 4] ------------ = --------- [8, 6, 12] [6, 12] denominator=, [8, 7, 1] [1, 8, 4, 9] [1, 4, 9] ------------ = --------- [8, 7, 1] [7, 1] denominator=, [8, 7, 3] [1, 8, 5, 1] [1, 5, 1] ------------ = --------- [8, 7, 3] [7, 3] [3, 8, 0, 10] [3, 0, 10] ------------- = ---------- [8, 7, 3] [7, 3] denominator=, [8, 7, 5] [1, 8, 5, 6] [1, 5, 6] ------------ = --------- [8, 7, 5] [7, 5] [3, 8, 1, 8] [3, 1, 8] ------------ = --------- [8, 7, 5] [7, 5] denominator=, [8, 7, 7] [1, 8, 5, 11] [1, 5, 11] ------------- = ---------- [8, 7, 7] [7, 7] [3, 8, 2, 6] [3, 2, 6] ------------ = --------- [8, 7, 7] [7, 7] denominator=, [8, 7, 9] [1, 8, 6, 3] [1, 6, 3] ------------ = --------- [8, 7, 9] [7, 9] [3, 8, 3, 4] [3, 3, 4] ------------ = --------- [8, 7, 9] [7, 9] [5, 8, 0, 5] [5, 0, 5] ------------ = --------- [8, 7, 9] [7, 9] denominator=, [8, 7, 11] [1, 8, 6, 8] [1, 6, 8] ------------ = --------- [8, 7, 11] [7, 11] [3, 8, 4, 2] [3, 4, 2] ------------ = --------- [8, 7, 11] [7, 11] [5, 8, 1, 9] [5, 1, 9] ------------ = --------- [8, 7, 11] [7, 11] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [1, 8, 7, 5] [1, 7, 5] ------------ = --------- [8, 8, 2] [8, 2] [3, 8, 5, 11] [3, 5, 11] ------------- = ---------- [8, 8, 2] [8, 2] [5, 8, 4, 4] [5, 4, 4] ------------ = --------- [8, 8, 2] [8, 2] [7, 8, 2, 10] [7, 2, 10] ------------- = ---------- [8, 8, 2] [8, 2] [9, 8, 1, 3] [9, 1, 3] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 10] [1, 7, 10] ------------- = ---------- [8, 8, 4] [8, 4] [3, 8, 6, 9] [3, 6, 9] ------------ = --------- [8, 8, 4] [8, 4] [5, 8, 5, 8] [5, 5, 8] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 7] [7, 4, 7] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 6] [9, 3, 6] ------------ = --------- [8, 8, 4] [8, 4] [11, 8, 2, 5] [11, 2, 5] ------------- = ---------- [8, 8, 4] [8, 4] [1, 0, 8, 1, 4] [1, 0, 1, 4] --------------- = ------------ [8, 8, 4] [8, 4] [1, 2, 8, 0, 3] [1, 2, 0, 3] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [1, 8, 8, 2] [1, 8, 2] ------------ = --------- [8, 8, 6] [8, 6] [3, 8, 7, 7] [3, 7, 7] ------------ = --------- [8, 8, 6] [8, 6] [5, 8, 6, 12] [5, 6, 12] ------------- = ---------- [8, 8, 6] [8, 6] [7, 8, 6, 4] [7, 6, 4] ------------ = --------- [8, 8, 6] [8, 6] [9, 8, 5, 9] [9, 5, 9] ------------ = --------- [8, 8, 6] [8, 6] [11, 8, 5, 1] [11, 5, 1] ------------- = ---------- [8, 8, 6] [8, 6] [1, 0, 8, 4, 6] [1, 0, 4, 6] --------------- = ------------ [8, 8, 6] [8, 6] [1, 2, 8, 3, 11] [1, 2, 3, 11] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 4, 8, 3, 3] [1, 4, 3, 3] --------------- = ------------ [8, 8, 6] [8, 6] [1, 6, 8, 2, 8] [1, 6, 2, 8] --------------- = ------------ [8, 8, 6] [8, 6] [1, 8, 8, 2, 0] [1, 8, 2, 0] --------------- = ------------ [8, 8, 6] [8, 6] [1, 10, 8, 1, 5] [1, 10, 1, 5] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 12, 8, 0, 10] [1, 12, 0, 10] ----------------- = -------------- [8, 8, 6] [8, 6] [2, 1, 8, 0, 2] [2, 1, 0, 2] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [9, 5, 10] [1, 9, 0, 6] [1, 0, 6] ------------ = --------- [9, 5, 10] [5, 10] denominator=, [9, 6, 0] [1, 9, 1, 0] [1, 1, 0] ------------ = --------- [9, 6, 0] [6, 0] denominator=, [9, 6, 3] [1, 9, 1, 7] [1, 1, 7] ------------ = --------- [9, 6, 3] [6, 3] denominator=, [9, 6, 6] [1, 9, 2, 1] [1, 2, 1] ------------ = --------- [9, 6, 6] [6, 6] denominator=, [9, 6, 9] [1, 9, 2, 8] [1, 2, 8] ------------ = --------- [9, 6, 9] [6, 9] denominator=, [9, 6, 12] [1, 9, 3, 2] [1, 3, 2] ------------ = --------- [9, 6, 12] [6, 12] denominator=, [9, 7, 2] [1, 9, 3, 9] [1, 3, 9] ------------ = --------- [9, 7, 2] [7, 2] [2, 9, 0, 3] [2, 0, 3] ------------ = --------- [9, 7, 2] [7, 2] denominator=, [9, 7, 5] [1, 9, 4, 3] [1, 4, 3] ------------ = --------- [9, 7, 5] [7, 5] [2, 9, 1, 1] [2, 1, 1] ------------ = --------- [9, 7, 5] [7, 5] denominator=, [9, 7, 8] [1, 9, 4, 10] [1, 4, 10] ------------- = ---------- [9, 7, 8] [7, 8] [2, 9, 1, 12] [2, 1, 12] ------------- = ---------- [9, 7, 8] [7, 8] denominator=, [9, 7, 11] [1, 9, 5, 4] [1, 5, 4] ------------ = --------- [9, 7, 11] [7, 11] [2, 9, 2, 10] [2, 2, 10] ------------- = ---------- [9, 7, 11] [7, 11] denominator=, [9, 8, 1] [1, 9, 5, 11] [1, 5, 11] ------------- = ---------- [9, 8, 1] [8, 1] [2, 9, 3, 8] [2, 3, 8] ------------ = --------- [9, 8, 1] [8, 1] denominator=, [9, 8, 4] [1, 9, 6, 5] [1, 6, 5] ------------ = --------- [9, 8, 4] [8, 4] [2, 9, 4, 6] [2, 4, 6] ------------ = --------- [9, 8, 4] [8, 4] [4, 9, 0, 8] [4, 0, 8] ------------ = --------- [9, 8, 4] [8, 4] denominator=, [9, 8, 7] [1, 9, 6, 12] [1, 6, 12] ------------- = ---------- [9, 8, 7] [8, 7] [2, 9, 5, 4] [2, 5, 4] ------------ = --------- [9, 8, 7] [8, 7] [4, 9, 2, 1] [4, 2, 1] ------------ = --------- [9, 8, 7] [8, 7] [5, 9, 0, 6] [5, 0, 6] ------------ = --------- [9, 8, 7] [8, 7] denominator=, [9, 8, 10] [1, 9, 7, 6] [1, 7, 6] ------------ = --------- [9, 8, 10] [8, 10] [2, 9, 6, 2] [2, 6, 2] ------------ = --------- [9, 8, 10] [8, 10] [4, 9, 3, 7] [4, 3, 7] ------------ = --------- [9, 8, 10] [8, 10] [5, 9, 2, 3] [5, 2, 3] ------------ = --------- [9, 8, 10] [8, 10] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [1, 9, 8, 7] [1, 8, 7] ------------ = --------- [9, 9, 3] [9, 3] [2, 9, 7, 11] [2, 7, 11] ------------- = ---------- [9, 9, 3] [9, 3] [4, 9, 6, 6] [4, 6, 6] ------------ = --------- [9, 9, 3] [9, 3] [5, 9, 5, 10] [5, 5, 10] ------------- = ---------- [9, 9, 3] [9, 3] [7, 9, 4, 5] [7, 4, 5] ------------ = --------- [9, 9, 3] [9, 3] [8, 9, 3, 9] [8, 3, 9] ------------ = --------- [9, 9, 3] [9, 3] [10, 9, 2, 4] [10, 2, 4] ------------- = ---------- [9, 9, 3] [9, 3] [11, 9, 1, 8] [11, 1, 8] ------------- = ---------- [9, 9, 3] [9, 3] [1, 0, 9, 0, 3] [1, 0, 0, 3] --------------- = ------------ [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [1, 9, 9, 1] [1, 9, 1] ------------ = --------- [9, 9, 6] [9, 6] [2, 9, 8, 9] [2, 8, 9] ------------ = --------- [9, 9, 6] [9, 6] [4, 9, 7, 12] [4, 7, 12] ------------- = ---------- [9, 9, 6] [9, 6] [5, 9, 7, 7] [5, 7, 7] ------------ = --------- [9, 9, 6] [9, 6] [7, 9, 6, 10] [7, 6, 10] ------------- = ---------- [9, 9, 6] [9, 6] [8, 9, 6, 5] [8, 6, 5] ------------ = --------- [9, 9, 6] [9, 6] [10, 9, 5, 8] [10, 5, 8] ------------- = ---------- [9, 9, 6] [9, 6] [11, 9, 5, 3] [11, 5, 3] ------------- = ---------- [9, 9, 6] [9, 6] [1, 0, 9, 4, 6] [1, 0, 4, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 1, 9, 4, 1] [1, 1, 4, 1] --------------- = ------------ [9, 9, 6] [9, 6] [1, 3, 9, 3, 4] [1, 3, 3, 4] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 2, 12] [1, 4, 2, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 2, 2] [1, 6, 2, 2] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 1, 10] [1, 7, 1, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 9, 9, 1, 0] [1, 9, 1, 0] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 0, 8] [1, 10, 0, 8] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [10, 6, 2] [1, 10, 0, 7] [1, 0, 7] ------------- = --------- [10, 6, 2] [6, 2] denominator=, [10, 6, 7] [1, 10, 1, 5] [1, 1, 5] ------------- = --------- [10, 6, 7] [6, 7] denominator=, [10, 6, 12] [1, 10, 2, 3] [1, 2, 3] ------------- = --------- [10, 6, 12] [6, 12] denominator=, [10, 7, 4] [1, 10, 3, 1] [1, 3, 1] ------------- = --------- [10, 7, 4] [7, 4] denominator=, [10, 7, 9] [1, 10, 3, 12] [1, 3, 12] -------------- = ---------- [10, 7, 9] [7, 9] [2, 10, 0, 2] [2, 0, 2] ------------- = --------- [10, 7, 9] [7, 9] denominator=, [10, 8, 1] [1, 10, 4, 10] [1, 4, 10] -------------- = ---------- [10, 8, 1] [8, 1] [2, 10, 1, 6] [2, 1, 6] ------------- = --------- [10, 8, 1] [8, 1] denominator=, [10, 8, 6] [1, 10, 5, 8] [1, 5, 8] ------------- = --------- [10, 8, 6] [8, 6] [2, 10, 2, 10] [2, 2, 10] -------------- = ---------- [10, 8, 6] [8, 6] denominator=, [10, 8, 11] [1, 10, 6, 6] [1, 6, 6] ------------- = --------- [10, 8, 11] [8, 11] [2, 10, 4, 1] [2, 4, 1] ------------- = --------- [10, 8, 11] [8, 11] [3, 10, 1, 9] [3, 1, 9] ------------- = --------- [10, 8, 11] [8, 11] denominator=, [10, 9, 3] [1, 10, 7, 4] [1, 7, 4] ------------- = --------- [10, 9, 3] [9, 3] [2, 10, 5, 5] [2, 5, 5] ------------- = --------- [10, 9, 3] [9, 3] [3, 10, 3, 6] [3, 3, 6] ------------- = --------- [10, 9, 3] [9, 3] [4, 10, 1, 7] [4, 1, 7] ------------- = --------- [10, 9, 3] [9, 3] denominator=, [10, 9, 8] [1, 10, 8, 2] [1, 8, 2] ------------- = --------- [10, 9, 8] [9, 8] [2, 10, 6, 9] [2, 6, 9] ------------- = --------- [10, 9, 8] [9, 8] [3, 10, 5, 3] [3, 5, 3] ------------- = --------- [10, 9, 8] [9, 8] [4, 10, 3, 10] [4, 3, 10] -------------- = ---------- [10, 9, 8] [9, 8] [6, 10, 0, 11] [6, 0, 11] -------------- = ---------- [10, 9, 8] [9, 8] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 11] [1, 9, 11] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 10] [3, 8, 10] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 8] [7, 6, 8] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 7] [9, 5, 7] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 6] [11, 4, 6] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 12] [12, 3, 12] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 3, 5] [1, 0, 3, 5] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 1, 10, 2, 11] [1, 1, 2, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 3, 10, 1, 10] [1, 3, 1, 10] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 1, 3] [1, 4, 1, 3] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 5, 10, 0, 9] [1, 5, 0, 9] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 6, 10, 0, 2] [1, 6, 0, 2] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [11, 6, 10] [1, 11, 1, 2] [1, 1, 2] ------------- = --------- [11, 6, 10] [6, 10] denominator=, [11, 7, 8] [1, 11, 2, 12] [1, 2, 12] -------------- = ---------- [11, 7, 8] [7, 8] denominator=, [11, 8, 6] [1, 11, 4, 9] [1, 4, 9] ------------- = --------- [11, 8, 6] [8, 6] [2, 11, 0, 12] [2, 0, 12] -------------- = ---------- [11, 8, 6] [8, 6] denominator=, [11, 9, 4] [1, 11, 6, 6] [1, 6, 6] ------------- = --------- [11, 9, 4] [9, 4] [2, 11, 3, 8] [2, 3, 8] ------------- = --------- [11, 9, 4] [9, 4] [3, 11, 0, 10] [3, 0, 10] -------------- = ---------- [11, 9, 4] [9, 4] denominator=, [11, 10, 2] [1, 11, 8, 3] [1, 8, 3] ------------- = --------- [11, 10, 2] [10, 2] [2, 11, 6, 4] [2, 6, 4] ------------- = --------- [11, 10, 2] [10, 2] [3, 11, 4, 5] [3, 4, 5] ------------- = --------- [11, 10, 2] [10, 2] [4, 11, 2, 6] [4, 2, 6] ------------- = --------- [11, 10, 2] [10, 2] [5, 11, 0, 7] [5, 0, 7] ------------- = --------- [11, 10, 2] [10, 2] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] ------------------------------------------------------------------------- This ends this book that took, 82.806, seconds to generate. ---------------------------------------------- Base , 14 Lots and Lots of Anomalous Cancellations in base, 14 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 14, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 14, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [13, 7] [1, 13] [1] ------- = --- [13, 7] [7] denominator=, [13, 12] [6, 13] [6] -------- = ---- [13, 12] [12] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 10, 3] [9, 3, 2] [9, 2] ---------- = ------- [1, 10, 3] [1, 10] denominator=, [1, 10, 8] [4, 8, 7] [4, 7] ---------- = ------- [1, 10, 8] [1, 10] denominator=, [1, 13, 6] [10, 6, 4] [10, 4] ---------- = ------- [1, 13, 6] [1, 13] denominator=, [1, 13, 9] [7, 9, 7] [7, 7] ---------- = ------- [1, 13, 9] [1, 13] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 2, 9] [11, 9, 6] [11, 6] ---------- = ------- [2, 2, 9] [2, 2] denominator=, [2, 2, 10] [10, 10, 7] [10, 7] ----------- = ------- [2, 2, 10] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 5, 11] [13, 11, 7] [13, 7] ----------- = ------- [2, 5, 11] [2, 5] denominator=, [2, 5, 12] [12, 12, 8] [12, 8] ----------- = ------- [2, 5, 12] [2, 5] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 8, 12] [1, 2, 12, 7] [1, 2, 7] ------------- = --------- [2, 8, 12] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 5] [10, 5, 4] [10, 4] ---------- = ------- [2, 12, 5] [2, 12] [1, 11, 5, 2] [1, 11, 2] ------------- = ---------- [2, 12, 5] [2, 12] denominator=, [2, 12, 8] [7, 8, 7] [7, 7] ---------- = ------- [2, 12, 8] [2, 12] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 3, 9] [12, 9, 7] [12, 7] ---------- = ------- [3, 3, 9] [3, 3] denominator=, [3, 3, 10] [11, 10, 8] [11, 8] ----------- = ------- [3, 3, 10] [3, 3] [2, 0, 10, 4] [2, 0, 4] ------------- = --------- [3, 3, 10] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 8, 10] [1, 3, 10, 7] [1, 3, 7] ------------- = --------- [3, 8, 10] [3, 8] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 13, 11] [1, 8, 11, 7] [1, 8, 7] ------------- = --------- [3, 13, 11] [3, 13] denominator=, [4, 0, 7] [11, 7, 6] [11, 6] ---------- = ------- [4, 0, 7] [4, 0] [1, 12, 7, 4] [1, 12, 4] ------------- = ---------- [4, 0, 7] [4, 0] [2, 13, 7, 2] [2, 13, 2] ------------- = ---------- [4, 0, 7] [4, 0] denominator=, [4, 0, 8] [10, 8, 7] [10, 7] ---------- = ------- [4, 0, 8] [4, 0] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 4, 12] [1, 13, 12, 7] [1, 13, 7] -------------- = ---------- [4, 4, 12] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 7, 9] [1, 3, 9, 7] [1, 3, 7] ------------ = --------- [4, 7, 9] [4, 7] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 3] [1, 11, 3, 2] [1, 11, 2] ------------- = ---------- [4, 10, 3] [4, 10] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 13, 6] [1, 12, 6, 4] [1, 12, 4] ------------- = ---------- [4, 13, 6] [4, 13] denominator=, [5, 0, 10] [1, 10, 10, 7] [1, 10, 7] -------------- = ---------- [5, 0, 10] [5, 0] denominator=, [5, 2, 8] [13, 8, 7] [13, 7] ---------- = ------- [5, 2, 8] [5, 2] denominator=, [5, 2, 9] [12, 9, 8] [12, 8] ---------- = ------- [5, 2, 9] [5, 2] [1, 13, 9, 6] [1, 13, 6] ------------- = ---------- [5, 2, 9] [5, 2] [3, 0, 9, 4] [3, 0, 4] ------------ = --------- [5, 2, 9] [5, 2] [4, 1, 9, 2] [4, 1, 2] ------------ = --------- [5, 2, 9] [5, 2] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 5, 12] [2, 0, 12, 8] [2, 0, 8] ------------- = --------- [5, 5, 12] [5, 5] denominator=, [5, 7, 11] [2, 3, 11, 7] [2, 3, 7] ------------- = --------- [5, 7, 11] [5, 7] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 11, 9] [1, 8, 9, 7] [1, 8, 7] ------------ = --------- [5, 11, 9] [5, 11] denominator=, [6, 0, 12] [2, 10, 12, 7] [2, 10, 7] -------------- = ---------- [6, 0, 12] [6, 0] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 4, 8] [1, 2, 8, 7] [1, 2, 7] ------------ = --------- [6, 4, 8] [6, 4] denominator=, [6, 4, 11] [13, 11, 10] [13, 10] ------------ = -------- [6, 4, 11] [6, 4] [2, 0, 11, 8] [2, 0, 8] ------------- = --------- [6, 4, 11] [6, 4] [3, 1, 11, 6] [3, 1, 6] ------------- = --------- [6, 4, 11] [6, 4] [4, 2, 11, 4] [4, 2, 4] ------------- = --------- [6, 4, 11] [6, 4] [5, 3, 11, 2] [5, 3, 2] ------------- = --------- [6, 4, 11] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 6, 10] [2, 3, 10, 7] [2, 3, 7] ------------- = --------- [6, 6, 10] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [7, 1, 9] [1, 13, 9, 7] [1, 13, 7] ------------- = ---------- [7, 1, 9] [7, 1] denominator=, [7, 1, 11] [2, 12, 11, 7] [2, 12, 7] -------------- = ---------- [7, 1, 11] [7, 1] denominator=, [7, 6, 8] [1, 5, 8, 7] [1, 5, 7] ------------ = --------- [7, 6, 8] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 10, 3] [2, 13, 3, 2] [2, 13, 2] ------------- = ---------- [7, 10, 3] [7, 10] denominator=, [7, 10, 12] [3, 7, 12, 7] [3, 7, 7] ------------- = --------- [7, 10, 12] [7, 10] denominator=, [7, 12, 5] [2, 0, 5, 4] [2, 0, 4] ------------ = --------- [7, 12, 5] [7, 12] [4, 13, 5, 2] [4, 13, 2] ------------- = ---------- [7, 12, 5] [7, 12] denominator=, [7, 12, 10] [2, 10, 10, 7] [2, 10, 7] -------------- = ---------- [7, 12, 10] [7, 12] denominator=, [7, 13, 6] [3, 0, 6, 4] [3, 0, 4] ------------ = --------- [7, 13, 6] [7, 13] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 2, 9] [3, 1, 9, 6] [3, 1, 6] ------------ = --------- [8, 2, 9] [8, 2] denominator=, [8, 3, 10] [2, 1, 10, 8] [2, 1, 8] ------------- = --------- [8, 3, 10] [8, 3] [5, 2, 10, 4] [5, 2, 4] ------------- = --------- [8, 3, 10] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 5, 9] [2, 4, 9, 7] [2, 4, 7] ------------ = --------- [8, 5, 9] [8, 5] denominator=, [8, 5, 12] [3, 2, 12, 8] [3, 2, 8] ------------- = --------- [8, 5, 12] [8, 5] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 9, 11] [3, 7, 11, 7] [3, 7, 7] ------------- = --------- [8, 9, 11] [8, 9] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 4, 10] [3, 3, 10, 7] [3, 3, 7] ------------- = --------- [9, 4, 10] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 6, 12] [4, 4, 12, 7] [4, 4, 7] ------------- = --------- [9, 6, 12] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 8] [1, 11, 8, 7] [1, 11, 7] ------------- = ---------- [9, 10, 8] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 3, 11] [4, 2, 11, 7] [4, 2, 7] ------------- = --------- [10, 3, 11] [10, 3] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 3] [4, 1, 3, 2] [4, 1, 2] ------------ = --------- [10, 10, 3] [10, 10] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 8] [2, 0, 8, 7] [2, 0, 7] ------------ = --------- [10, 12, 8] [10, 12] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 13, 6] [4, 2, 6, 4] [4, 2, 4] ------------ = --------- [10, 13, 6] [10, 13] denominator=, [10, 13, 9] [3, 0, 9, 7] [3, 0, 7] ------------ = --------- [10, 13, 9] [10, 13] denominator=, [11, 0, 7] [2, 3, 7, 6] [2, 3, 6] ------------ = --------- [11, 0, 7] [11, 0] [5, 2, 7, 4] [5, 2, 4] ------------ = --------- [11, 0, 7] [11, 0] [8, 1, 7, 2] [8, 1, 2] ------------ = --------- [11, 0, 7] [11, 0] denominator=, [11, 2, 9] [4, 3, 9, 6] [4, 3, 6] ------------ = --------- [11, 2, 9] [11, 2] denominator=, [11, 2, 12] [5, 1, 12, 7] [5, 1, 7] ------------- = --------- [11, 2, 12] [11, 2] denominator=, [11, 5, 12] [4, 4, 12, 8] [4, 4, 8] ------------- = --------- [11, 5, 12] [11, 5] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 0, 8] [2, 3, 8, 7] [2, 3, 7] ------------ = --------- [12, 0, 8] [12, 0] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 2, 10] [4, 3, 10, 7] [4, 3, 7] ------------- = --------- [12, 2, 10] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 3, 9] [3, 5, 9, 7] [3, 5, 7] ------------ = --------- [12, 3, 9] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 5] [3, 4, 5, 4] [3, 4, 4] ------------ = --------- [12, 12, 5] [12, 12] [8, 1, 5, 2] [8, 1, 2] ------------ = --------- [12, 12, 5] [12, 12] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 2, 8] [2, 6, 8, 7] [2, 6, 7] ------------ = --------- [13, 2, 8] [13, 2] denominator=, [13, 3, 10] [3, 5, 10, 8] [3, 5, 8] ------------- = --------- [13, 3, 10] [13, 3] [8, 4, 10, 4] [8, 4, 4] ------------- = --------- [13, 3, 10] [13, 3] denominator=, [13, 5, 11] [5, 6, 11, 7] [5, 6, 7] ------------- = --------- [13, 5, 11] [13, 5] denominator=, [13, 7, 9] [3, 10, 9, 7] [3, 10, 7] ------------- = ---------- [13, 7, 9] [13, 7] denominator=, [13, 8, 10] [4, 10, 10, 7] [4, 10, 7] -------------- = ---------- [13, 8, 10] [13, 8] denominator=, [13, 10, 3] [5, 3, 3, 2] [5, 3, 2] ------------ = --------- [13, 10, 3] [13, 10] denominator=, [13, 13, 6] [5, 4, 6, 4] [5, 4, 4] ------------ = --------- [13, 13, 6] [13, 13] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 1, 5] [5, 5, 3, 7] [5, 3, 7] ------------ = --------- [1, 1, 5] [1, 1] denominator=, [1, 4, 6] [8, 6, 3, 7] [8, 3, 7] ------------ = --------- [1, 4, 6] [1, 4] denominator=, [1, 6, 12] [3, 12, 10, 7] [3, 10, 7] -------------- = ---------- [1, 6, 12] [1, 6] denominator=, [1, 10, 3] [9, 3, 2, 0] [9, 2, 0] ------------ = --------- [1, 10, 3] [1, 10] denominator=, [1, 10, 8] [4, 8, 7, 0] [4, 7, 0] ------------ = --------- [1, 10, 8] [1, 10] [1, 0, 8, 3, 7] [1, 0, 3, 7] --------------- = ------------ [1, 10, 8] [1, 10] denominator=, [1, 13, 6] [10, 6, 4, 0] [10, 4, 0] ------------- = ---------- [1, 13, 6] [1, 13] denominator=, [1, 13, 9] [7, 9, 7, 0] [7, 7, 0] ------------ = --------- [1, 13, 9] [1, 13] [1, 3, 9, 3, 7] [1, 3, 3, 7] --------------- = ------------ [1, 13, 9] [1, 13] denominator=, [2, 0, 4] [5, 4, 3, 7] [5, 3, 7] ------------ = --------- [2, 0, 4] [2, 0] denominator=, [2, 2, 9] [11, 9, 6, 0] [11, 6, 0] ------------- = ---------- [2, 2, 9] [2, 2] denominator=, [2, 2, 10] [10, 10, 7] [10, 7] ----------- = ------- [2, 2, 10] [2, 2] [10, 10, 7, 0] [10, 7, 0] -------------- = ---------- [2, 2, 10] [2, 2] [1, 6, 10, 3, 7] [1, 6, 3, 7] ---------------- = ------------ [2, 2, 10] [2, 2] denominator=, [2, 5, 11] [3, 11, 10, 7] [3, 10, 7] -------------- = ---------- [2, 5, 11] [2, 5] [13, 11, 7, 0] [13, 7, 0] -------------- = ---------- [2, 5, 11] [2, 5] [1, 9, 11, 3, 7] [1, 9, 3, 7] ---------------- = ------------ [2, 5, 11] [2, 5] denominator=, [2, 5, 12] [12, 12, 8] [12, 8] ----------- = ------- [2, 5, 12] [2, 5] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [2, 5, 12] [2, 5] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [2, 5, 12] [2, 5] [12, 12, 8, 0] [12, 8, 0] -------------- = ---------- [2, 5, 12] [2, 5] [1, 4, 12, 5, 10] [1, 4, 5, 10] ----------------- = ------------- [2, 5, 12] [2, 5] [1, 7, 12, 4, 8] [1, 7, 4, 8] ---------------- = ------------ [2, 5, 12] [2, 5] [1, 13, 12, 2, 4] [1, 13, 2, 4] ----------------- = ------------- [2, 5, 12] [2, 5] [2, 2, 12, 1, 2] [2, 2, 1, 2] ---------------- = ------------ [2, 5, 12] [2, 5] denominator=, [2, 6, 6] [10, 6, 4, 7] [10, 4, 7] ------------- = ---------- [2, 6, 6] [2, 6] [1, 12, 6, 1, 7] [1, 12, 1, 7] ---------------- = ------------- [2, 6, 6] [2, 6] denominator=, [2, 7, 5] [12, 5, 3, 7] [12, 3, 7] ------------- = ---------- [2, 7, 5] [2, 7] denominator=, [2, 8, 12] [6, 12, 10, 7] [6, 10, 7] -------------- = ---------- [2, 8, 12] [2, 8] [1, 2, 12, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [2, 8, 12] [2, 8] [1, 12, 12, 3, 7] [1, 12, 3, 7] ----------------- = ------------- [2, 8, 12] [2, 8] denominator=, [2, 10, 10] [11, 10, 7, 7] [11, 7, 7] -------------- = ---------- [2, 10, 10] [2, 10] [2, 1, 10, 2, 7] [2, 1, 2, 7] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [2, 12, 5] [10, 5, 4, 0] [10, 4, 0] ------------- = ---------- [2, 12, 5] [2, 12] [1, 11, 5, 2, 0] [1, 11, 2, 0] ---------------- = ------------- [2, 12, 5] [2, 12] denominator=, [2, 12, 8] [7, 8, 7, 0] [7, 7, 0] ------------ = --------- [2, 12, 8] [2, 12] denominator=, [3, 0, 6] [1, 5, 6, 3, 7] [1, 5, 3, 7] --------------- = ------------ [3, 0, 6] [3, 0] denominator=, [3, 2, 4] [8, 4, 3, 7] [8, 3, 7] ------------ = --------- [3, 2, 4] [3, 2] denominator=, [3, 3, 9] [12, 9, 7, 0] [12, 7, 0] ------------- = ---------- [3, 3, 9] [3, 3] denominator=, [3, 3, 10] [11, 10, 8, 0] [11, 8, 0] -------------- = ---------- [3, 3, 10] [3, 3] [2, 0, 10, 4, 0] [2, 0, 4, 0] ---------------- = ------------ [3, 3, 10] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 8, 10] [1, 3, 10, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [3, 8, 10] [3, 8] denominator=, [3, 9, 9] [11, 9, 7, 7] [11, 7, 7] ------------- = ---------- [3, 9, 9] [3, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] [3, 1, 9, 1, 7] [3, 1, 1, 7] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 12] [9, 12, 10, 7] [9, 10, 7] -------------- = ---------- [3, 10, 12] [3, 10] denominator=, [3, 12, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 13, 5] [1, 5, 5, 3, 7] [1, 5, 3, 7] --------------- = ------------ [3, 13, 5] [3, 13] denominator=, [3, 13, 11] [1, 8, 11, 7, 0] [1, 8, 7, 0] ---------------- = ------------ [3, 13, 11] [3, 13] denominator=, [4, 0, 8] [10, 8, 7, 0] [10, 7, 0] ------------- = ---------- [4, 0, 8] [4, 0] [2, 5, 8, 3, 7] [2, 5, 3, 7] --------------- = ------------ [4, 0, 8] [4, 0] denominator=, [4, 4, 12] [1, 13, 12, 7, 0] [1, 13, 7, 0] ----------------- = ------------- [4, 4, 12] [4, 4] denominator=, [4, 7, 9] [1, 3, 9, 7, 0] [1, 3, 7, 0] --------------- = ------------ [4, 7, 9] [4, 7] [2, 12, 9, 3, 7] [2, 12, 3, 7] ---------------- = ------------- [4, 7, 9] [4, 7] denominator=, [4, 8, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 10, 3] [1, 11, 3, 2, 0] [1, 11, 2, 0] ---------------- = ------------- [4, 10, 3] [4, 10] denominator=, [4, 10, 6] [2, 2, 6, 3, 7] [2, 2, 3, 7] --------------- = ------------ [4, 10, 6] [4, 10] denominator=, [4, 12, 12] [12, 12, 10, 7] [12, 10, 7] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 0, 12, 7, 7] [2, 0, 7, 7] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 2, 12, 4, 7] [3, 2, 4, 7] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 4, 12, 1, 7] [4, 4, 1, 7] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 13, 6] [1, 12, 6, 4, 0] [1, 12, 4, 0] ---------------- = ------------- [4, 13, 6] [4, 13] denominator=, [5, 0, 10] [1, 10, 10, 7] [1, 10, 7] -------------- = ---------- [5, 0, 10] [5, 0] [1, 10, 10, 7, 0] [1, 10, 7, 0] ----------------- = ------------- [5, 0, 10] [5, 0] [3, 5, 10, 3, 7] [3, 5, 3, 7] ---------------- = ------------ [5, 0, 10] [5, 0] denominator=, [5, 2, 8] [13, 8, 7, 0] [13, 7, 0] ------------- = ---------- [5, 2, 8] [5, 2] denominator=, [5, 2, 9] [12, 9, 8, 0] [12, 8, 0] ------------- = ---------- [5, 2, 9] [5, 2] [1, 13, 9, 6, 0] [1, 13, 6, 0] ---------------- = ------------- [5, 2, 9] [5, 2] [3, 0, 9, 4, 0] [3, 0, 4, 0] --------------- = ------------ [5, 2, 9] [5, 2] [4, 1, 9, 2, 0] [4, 1, 2, 0] --------------- = ------------ [5, 2, 9] [5, 2] denominator=, [5, 5, 12] [2, 0, 12, 8, 0] [2, 0, 8, 0] ---------------- = ------------ [5, 5, 12] [5, 5] denominator=, [5, 6, 4] [1, 0, 4, 3, 7] [1, 0, 3, 7] --------------- = ------------ [5, 6, 4] [5, 6] denominator=, [5, 7, 11] [8, 11, 10, 7] [8, 10, 7] -------------- = ---------- [5, 7, 11] [5, 7] [2, 3, 11, 7, 0] [2, 3, 7, 0] ---------------- = ------------ [5, 7, 11] [5, 7] [3, 12, 11, 3, 7] [3, 12, 3, 7] ----------------- = ------------- [5, 7, 11] [5, 7] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 9] [1, 8, 9, 7, 0] [1, 8, 7, 0] --------------- = ------------ [5, 11, 9] [5, 11] denominator=, [6, 0, 12] [1, 1, 12, 10, 7] [1, 1, 10, 7] ----------------- = ------------- [6, 0, 12] [6, 0] [2, 10, 12, 7, 0] [2, 10, 7, 0] ----------------- = ------------- [6, 0, 12] [6, 0] [4, 5, 12, 3, 7] [4, 5, 3, 7] ---------------- = ------------ [6, 0, 12] [6, 0] denominator=, [6, 2, 2] [1, 12, 2, 1, 7] [1, 12, 1, 7] ---------------- = ------------- [6, 2, 2] [6, 2] [4, 10, 2, 0, 7] [4, 10, 0, 7] ---------------- = ------------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 4, 8] [1, 2, 8, 7, 0] [1, 2, 7, 0] --------------- = ------------ [6, 4, 8] [6, 4] [3, 10, 8, 3, 7] [3, 10, 3, 7] ---------------- = ------------- [6, 4, 8] [6, 4] denominator=, [6, 4, 11] [13, 11, 10, 0] [13, 10, 0] --------------- = ----------- [6, 4, 11] [6, 4] [2, 0, 11, 8, 0] [2, 0, 8, 0] ---------------- = ------------ [6, 4, 11] [6, 4] [3, 1, 11, 6, 0] [3, 1, 6, 0] ---------------- = ------------ [6, 4, 11] [6, 4] [4, 2, 11, 4, 0] [4, 2, 4, 0] ---------------- = ------------ [6, 4, 11] [6, 4] [5, 3, 11, 2, 0] [5, 3, 2, 0] ---------------- = ------------ [6, 4, 11] [6, 4] denominator=, [6, 6, 10] [2, 3, 10, 7, 0] [2, 3, 7, 0] ---------------- = ------------ [6, 6, 10] [6, 6] denominator=, [6, 8, 4] [1, 3, 4, 3, 7] [1, 3, 3, 7] --------------- = ------------ [6, 8, 4] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [2, 0, 10, 7, 7] [2, 0, 7, 7] ---------------- = ------------ [6, 10, 10] [6, 10] [5, 2, 10, 2, 7] [5, 2, 2, 7] ---------------- = ------------ [6, 10, 10] [6, 10] denominator=, [6, 11, 5] [2, 5, 5, 3, 7] [2, 5, 3, 7] --------------- = ------------ [6, 11, 5] [6, 11] denominator=, [6, 12, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] denominator=, [7, 1, 9] [1, 13, 9, 7, 0] [1, 13, 7, 0] ---------------- = ------------- [7, 1, 9] [7, 1] [4, 7, 9, 3, 7] [4, 7, 3, 7] --------------- = ------------ [7, 1, 9] [7, 1] denominator=, [7, 1, 11] [2, 12, 11, 7, 0] [2, 12, 7, 0] ----------------- = ------------- [7, 1, 11] [7, 1] denominator=, [7, 2, 12] [1, 4, 12, 10, 7] [1, 4, 10, 7] ----------------- = ------------- [7, 2, 12] [7, 2] denominator=, [7, 6, 8] [1, 5, 8, 7, 0] [1, 5, 7, 0] --------------- = ------------ [7, 6, 8] [7, 6] denominator=, [7, 10, 3] [2, 13, 3, 2, 0] [2, 13, 2, 0] ---------------- = ------------- [7, 10, 3] [7, 10] denominator=, [7, 10, 4] [1, 6, 4, 3, 7] [1, 6, 3, 7] --------------- = ------------ [7, 10, 4] [7, 10] denominator=, [7, 10, 12] [3, 7, 12, 7, 0] [3, 7, 7, 0] ---------------- = ------------ [7, 10, 12] [7, 10] denominator=, [7, 12, 5] [2, 0, 5, 4, 0] [2, 0, 4, 0] --------------- = ------------ [7, 12, 5] [7, 12] [4, 13, 5, 2, 0] [4, 13, 2, 0] ---------------- = ------------- [7, 12, 5] [7, 12] denominator=, [7, 12, 10] [2, 10, 10, 7] [2, 10, 7] -------------- = ---------- [7, 12, 10] [7, 12] [2, 10, 10, 7, 0] [2, 10, 7, 0] ----------------- = ------------- [7, 12, 10] [7, 12] [5, 4, 10, 3, 7] [5, 4, 3, 7] ---------------- = ------------ [7, 12, 10] [7, 12] denominator=, [7, 13, 6] [3, 0, 6, 4, 0] [3, 0, 4, 0] --------------- = ------------ [7, 13, 6] [7, 13] denominator=, [8, 2, 6] [3, 10, 6, 3, 7] [3, 10, 3, 7] ---------------- = ------------- [8, 2, 6] [8, 2] denominator=, [8, 2, 9] [3, 1, 9, 6, 0] [3, 1, 6, 0] --------------- = ------------ [8, 2, 9] [8, 2] denominator=, [8, 3, 5] [2, 12, 5, 3, 7] [2, 12, 3, 7] ---------------- = ------------- [8, 3, 5] [8, 3] denominator=, [8, 3, 10] [2, 1, 10, 8, 0] [2, 1, 8, 0] ---------------- = ------------ [8, 3, 10] [8, 3] [5, 2, 10, 4, 0] [5, 2, 4, 0] ---------------- = ------------ [8, 3, 10] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 4, 12] [1, 7, 12, 10, 7] [1, 7, 10, 7] ----------------- = ------------- [8, 4, 12] [8, 4] denominator=, [8, 5, 9] [2, 4, 9, 7, 0] [2, 4, 7, 0] --------------- = ------------ [8, 5, 9] [8, 5] denominator=, [8, 5, 12] [3, 2, 12, 8, 0] [3, 2, 8, 0] ---------------- = ------------ [8, 5, 12] [8, 5] denominator=, [8, 9, 11] [13, 11, 10, 7] [13, 10, 7] --------------- = ----------- [8, 9, 11] [8, 9] [3, 7, 11, 7, 0] [3, 7, 7, 0] ---------------- = ------------ [8, 9, 11] [8, 9] [6, 1, 11, 3, 7] [6, 1, 3, 7] ---------------- = ------------ [8, 9, 11] [8, 9] denominator=, [8, 12, 4] [1, 9, 4, 3, 7] [1, 9, 3, 7] --------------- = ------------ [8, 12, 4] [8, 12] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [9, 3, 3] [2, 1, 3, 2, 7] [2, 1, 2, 7] --------------- = ------------ [9, 3, 3] [9, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] [7, 11, 3, 0, 7] [7, 11, 0, 7] ---------------- = ------------- [9, 3, 3] [9, 3] denominator=, [9, 4, 10] [3, 3, 10, 7, 0] [3, 3, 7, 0] ---------------- = ------------ [9, 4, 10] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [9, 6, 12] [1, 10, 12, 10, 7] [1, 10, 10, 7] ------------------ = -------------- [9, 6, 12] [9, 6] [4, 4, 12, 7, 0] [4, 4, 7, 0] ---------------- = ------------ [9, 6, 12] [9, 6] [6, 12, 12, 3, 7] [6, 12, 3, 7] ----------------- = ------------- [9, 6, 12] [9, 6] denominator=, [9, 9, 5] [3, 5, 5, 3, 7] [3, 5, 3, 7] --------------- = ------------ [9, 9, 5] [9, 9] denominator=, [9, 10, 8] [1, 11, 8, 7, 0] [1, 11, 7, 0] ---------------- = ------------- [9, 10, 8] [9, 10] denominator=, [9, 12, 6] [4, 7, 6, 3, 7] [4, 7, 3, 7] --------------- = ------------ [9, 12, 6] [9, 12] denominator=, [9, 12, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [10, 0, 4] [1, 12, 4, 3, 7] [1, 12, 3, 7] ---------------- = ------------- [10, 0, 4] [10, 0] denominator=, [10, 2, 2] [3, 1, 2, 1, 7] [3, 1, 1, 7] --------------- = ------------ [10, 2, 2] [10, 2] [7, 11, 2, 0, 7] [7, 11, 0, 7] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 3, 11] [4, 2, 11, 7, 0] [4, 2, 7, 0] ---------------- = ------------ [10, 3, 11] [10, 3] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [3, 2, 6, 4, 7] [3, 2, 4, 7] --------------- = ------------ [10, 6, 6] [10, 6] [8, 0, 6, 1, 7] [8, 0, 1, 7] --------------- = ------------ [10, 6, 6] [10, 6] denominator=, [10, 8, 12] [1, 13, 12, 10, 7] [1, 13, 10, 7] ------------------ = -------------- [10, 8, 12] [10, 8] denominator=, [10, 10, 3] [4, 1, 3, 2, 0] [4, 1, 2, 0] --------------- = ------------ [10, 10, 3] [10, 10] denominator=, [10, 12, 8] [2, 0, 8, 7, 0] [2, 0, 7, 0] --------------- = ------------ [10, 12, 8] [10, 12] [6, 6, 8, 3, 7] [6, 6, 3, 7] --------------- = ------------ [10, 12, 8] [10, 12] denominator=, [10, 13, 6] [4, 2, 6, 4, 0] [4, 2, 4, 0] --------------- = ------------ [10, 13, 6] [10, 13] denominator=, [10, 13, 9] [3, 0, 9, 7, 0] [3, 0, 7, 0] --------------- = ------------ [10, 13, 9] [10, 13] denominator=, [11, 1, 5] [3, 12, 5, 3, 7] [3, 12, 3, 7] ---------------- = ------------- [11, 1, 5] [11, 1] denominator=, [11, 2, 4] [2, 1, 4, 3, 7] [2, 1, 3, 7] --------------- = ------------ [11, 2, 4] [11, 2] denominator=, [11, 2, 9] [4, 3, 9, 6, 0] [4, 3, 6, 0] --------------- = ------------ [11, 2, 9] [11, 2] denominator=, [11, 2, 12] [5, 1, 12, 7, 0] [5, 1, 7, 0] ---------------- = ------------ [11, 2, 12] [11, 2] denominator=, [11, 5, 12] [4, 4, 12, 8, 0] [4, 4, 8, 0] ---------------- = ------------ [11, 5, 12] [11, 5] denominator=, [11, 8, 6] [5, 4, 6, 3, 7] [5, 4, 3, 7] --------------- = ------------ [11, 8, 6] [11, 8] denominator=, [11, 10, 12] [2, 2, 12, 10, 7] [2, 2, 10, 7] ----------------- = ------------- [11, 10, 12] [11, 10] denominator=, [12, 0, 8] [2, 3, 8, 7, 0] [2, 3, 7, 0] --------------- = ------------ [12, 0, 8] [12, 0] denominator=, [12, 2, 10] [4, 3, 10, 7, 0] [4, 3, 7, 0] ---------------- = ------------ [12, 2, 10] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 3, 9] [3, 5, 9, 7, 0] [3, 5, 7, 0] --------------- = ------------ [12, 3, 9] [12, 3] [7, 11, 9, 3, 7] [7, 11, 3, 7] ---------------- = ------------- [12, 3, 9] [12, 3] denominator=, [12, 4, 4] [2, 4, 4, 3, 7] [2, 4, 3, 7] --------------- = ------------ [12, 4, 4] [12, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [5, 2, 4, 2, 7] [5, 2, 2, 7] --------------- = ------------ [12, 4, 4] [12, 4] [8, 0, 4, 1, 7] [8, 0, 1, 7] --------------- = ------------ [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] [10, 12, 4, 0, 7] [10, 12, 0, 7] ----------------- = -------------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 7, 5] [4, 5, 5, 3, 7] [4, 5, 3, 7] --------------- = ------------ [12, 7, 5] [12, 7] denominator=, [12, 8, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 12, 5] [3, 4, 5, 4, 0] [3, 4, 4, 0] --------------- = ------------ [12, 12, 5] [12, 12] [8, 1, 5, 2, 0] [8, 1, 2, 0] --------------- = ------------ [12, 12, 5] [12, 12] denominator=, [13, 2, 8] [2, 6, 8, 7, 0] [2, 6, 7, 0] --------------- = ------------ [13, 2, 8] [13, 2] [7, 11, 8, 3, 7] [7, 11, 3, 7] ---------------- = ------------- [13, 2, 8] [13, 2] denominator=, [13, 3, 10] [3, 5, 10, 8, 0] [3, 5, 8, 0] ---------------- = ------------ [13, 3, 10] [13, 3] [8, 4, 10, 4, 0] [8, 4, 4, 0] ---------------- = ------------ [13, 3, 10] [13, 3] denominator=, [13, 4, 6] [6, 1, 6, 3, 7] [6, 1, 3, 7] --------------- = ------------ [13, 4, 6] [13, 4] denominator=, [13, 5, 11] [5, 6, 11, 7, 0] [5, 6, 7, 0] ---------------- = ------------ [13, 5, 11] [13, 5] denominator=, [13, 6, 4] [2, 7, 4, 3, 7] [2, 7, 3, 7] --------------- = ------------ [13, 6, 4] [13, 6] denominator=, [13, 7, 9] [3, 10, 9, 7, 0] [3, 10, 7, 0] ---------------- = ------------- [13, 7, 9] [13, 7] denominator=, [13, 8, 10] [4, 10, 10, 7] [4, 10, 7] -------------- = ---------- [13, 8, 10] [13, 8] [4, 10, 10, 7, 0] [4, 10, 7, 0] ----------------- = ------------- [13, 8, 10] [13, 8] [9, 2, 10, 3, 7] [9, 2, 3, 7] ---------------- = ------------ [13, 8, 10] [13, 8] denominator=, [13, 10, 3] [5, 3, 3, 2] [5, 3, 2] ------------ = --------- [13, 10, 3] [13, 10] [1, 8, 3, 2, 12] [1, 8, 2, 12] ---------------- = ------------- [13, 10, 3] [13, 10] [4, 0, 3, 2, 4] [4, 0, 2, 4] --------------- = ------------ [13, 10, 3] [13, 10] [5, 3, 3, 2, 0] [5, 3, 2, 0] --------------- = ------------ [13, 10, 3] [13, 10] [7, 9, 3, 1, 6] [7, 9, 1, 6] --------------- = ------------ [13, 10, 3] [13, 10] [8, 12, 3, 1, 2] [8, 12, 1, 2] ---------------- = ------------- [13, 10, 3] [13, 10] [11, 4, 3, 0, 8] [11, 4, 0, 8] ---------------- = ------------- [13, 10, 3] [13, 10] [12, 7, 3, 0, 4] [12, 7, 0, 4] ---------------- = ------------- [13, 10, 3] [13, 10] denominator=, [13, 13, 5] [4, 12, 5, 3, 7] [4, 12, 3, 7] ---------------- = ------------- [13, 13, 5] [13, 13] denominator=, [13, 13, 6] [5, 4, 6, 4, 0] [5, 4, 4, 0] --------------- = ------------ [13, 13, 6] [13, 13] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 7] [3, 13] [3] ---------- = ------ [1, 13, 7] [1, 7] denominator=, [1, 13, 10] [6, 13] [6] ----------- = ------- [1, 13, 10] [1, 10] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 7] [5, 13] [5] ---------- = ------ [2, 13, 7] [2, 7] denominator=, [2, 13, 8] [6, 13] [6] ---------- = ------ [2, 13, 8] [2, 8] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 13, 12] [1, 6, 13] [1, 6] ----------- = ------- [2, 13, 12] [2, 12] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 6] [6, 13] [6] ---------- = ------ [3, 13, 6] [3, 6] denominator=, [3, 13, 7] [7, 13] [7] ---------- = ------ [3, 13, 7] [3, 7] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 13, 12] [1, 13, 13] [1, 13] ----------- = ------- [3, 13, 12] [3, 12] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [1, 10, 8] [1, 10] ---------- = ------- [4, 8, 7] [4, 7] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 4] [6, 13] [6] ---------- = ------ [4, 13, 4] [4, 4] denominator=, [4, 13, 7] [9, 13] [9] ---------- = ------ [4, 13, 7] [4, 7] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 13, 12] [2, 6, 13] [2, 6] ----------- = ------- [4, 13, 12] [4, 12] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 2] [6, 13] [6] ---------- = ------ [5, 13, 2] [5, 2] denominator=, [5, 13, 7] [11, 13] [11] ---------- = ------ [5, 13, 7] [5, 7] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 13, 10] [1, 6, 13] [1, 6] ----------- = ------- [5, 13, 10] [5, 10] denominator=, [5, 13, 11] [1, 13, 13] [1, 13] ----------- = ------- [5, 13, 11] [5, 11] denominator=, [5, 13, 12] [2, 13, 13] [2, 13] ----------- = ------- [5, 13, 12] [5, 12] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 13, 12] [3, 6, 13] [3, 6] ----------- = ------- [6, 13, 12] [6, 12] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 8, 7] [2, 12, 8] [2, 12] ---------- = ------- [7, 8, 7] [7, 7] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 9, 7] [1, 13, 9] [1, 13] ---------- = ------- [7, 9, 7] [7, 7] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 13, 7] [1, 1, 13] [1, 1] ---------- = ------ [7, 13, 7] [7, 7] denominator=, [7, 13, 10] [1, 13, 13] [1, 13] ----------- = ------- [7, 13, 10] [7, 10] denominator=, [7, 13, 12] [3, 13, 13] [3, 13] ----------- = ------- [7, 13, 12] [7, 12] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 13, 7] [1, 3, 13] [1, 3] ---------- = ------ [8, 13, 7] [8, 7] denominator=, [8, 13, 8] [1, 6, 13] [1, 6] ---------- = ------ [8, 13, 8] [8, 8] denominator=, [8, 13, 11] [2, 13, 13] [2, 13] ----------- = ------- [8, 13, 11] [8, 11] denominator=, [8, 13, 12] [4, 6, 13] [4, 6] ----------- = ------- [8, 13, 12] [8, 12] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 3, 2] [1, 10, 3] [1, 10] ---------- = ------- [9, 3, 2] [9, 2] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 13, 7] [1, 5, 13] [1, 5] ---------- = ------ [9, 13, 7] [9, 7] denominator=, [9, 13, 9] [1, 13, 13] [1, 13] ----------- = ------- [9, 13, 9] [9, 9] denominator=, [9, 13, 10] [2, 6, 13] [2, 6] ----------- = ------- [9, 13, 10] [9, 10] denominator=, [9, 13, 12] [4, 13, 13] [4, 13] ----------- = ------- [9, 13, 12] [9, 12] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 5, 4] [2, 12, 5] [2, 12] ---------- = ------- [10, 5, 4] [10, 4] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 6, 4] [1, 13, 6] [1, 13] ---------- = ------- [10, 6, 4] [10, 4] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 8, 7] [4, 0, 8] [4, 0] ---------- = ------- [10, 8, 7] [10, 7] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 7] [2, 2, 10] [2, 2] ----------- = ------- [10, 10, 7] [10, 7] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 13, 7] [1, 7, 13] [1, 7] ----------- = ------- [10, 13, 7] [10, 7] denominator=, [10, 13, 12] [5, 6, 13] [5, 6] ------------ = -------- [10, 13, 12] [10, 12] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 7, 6] [4, 0, 7] [4, 0] ---------- = ------- [11, 7, 6] [11, 6] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 9, 6] [2, 2, 9] [2, 2] ---------- = ------- [11, 9, 6] [11, 6] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 10, 8] [3, 3, 10] [3, 3] ----------- = ------- [11, 10, 8] [11, 8] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 13, 6] [1, 6, 13] [1, 6] ----------- = ------- [11, 13, 6] [11, 6] denominator=, [11, 13, 7] [1, 9, 13] [1, 9] ----------- = ------- [11, 13, 7] [11, 7] denominator=, [11, 13, 8] [1, 13, 13] [1, 13] ----------- = ------- [11, 13, 8] [11, 8] denominator=, [11, 13, 10] [2, 13, 13] [2, 13] ------------ = -------- [11, 13, 10] [11, 10] denominator=, [11, 13, 11] [3, 13, 13] [3, 13] ------------ = -------- [11, 13, 11] [11, 11] denominator=, [11, 13, 12] [5, 13, 13] [5, 13] ------------ = -------- [11, 13, 12] [11, 12] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 9, 7] [3, 3, 9] [3, 3] ---------- = ------- [12, 9, 7] [12, 7] denominator=, [12, 9, 8] [5, 2, 9] [5, 2] ---------- = ------- [12, 9, 8] [12, 8] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 8] [2, 5, 12] [2, 5] ----------- = ------- [12, 12, 8] [12, 8] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 13, 7] [1, 11, 13] [1, 11] ----------- = ------- [12, 13, 7] [12, 7] denominator=, [12, 13, 12] [6, 6, 13] [6, 6] ------------ = -------- [12, 13, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 8, 7] [5, 2, 8] [5, 2] ---------- = ------- [13, 8, 7] [13, 7] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 11, 7] [2, 5, 11] [2, 5] ----------- = ------- [13, 11, 7] [13, 7] denominator=, [13, 11, 10] [6, 4, 11] [6, 4] ------------ = -------- [13, 11, 10] [13, 10] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 13, 7] [1, 13, 13] [1, 13] ----------- = ------- [13, 13, 7] [13, 7] denominator=, [13, 13, 10] [3, 6, 13] [3, 6] ------------ = -------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [6, 13, 13] [6, 13] ------------ = -------- [13, 13, 12] [13, 12] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 13, 0] [13, 7] [7] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 2] [13, 8] [8] ---------- = ------ [1, 13, 2] [1, 2] denominator=, [1, 13, 4] [13, 9] [9] ---------- = ------ [1, 13, 4] [1, 4] denominator=, [1, 13, 6] [13, 10] [10] ---------- = ------ [1, 13, 6] [1, 6] [2, 13, 2] [2, 2] ---------- = ------ [1, 13, 6] [1, 6] denominator=, [1, 13, 8] [13, 11] [11] ---------- = ------ [1, 13, 8] [1, 8] [2, 13, 5] [2, 5] ---------- = ------ [1, 13, 8] [1, 8] denominator=, [1, 13, 10] [13, 12] [12] ----------- = ------- [1, 13, 10] [1, 10] [2, 13, 8] [2, 8] ----------- = ------- [1, 13, 10] [1, 10] [4, 13, 4] [4, 4] ----------- = ------- [1, 13, 10] [1, 10] [6, 13, 0] [6, 0] ----------- = ------- [1, 13, 10] [1, 10] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 13, 2] [13, 10] [10] ---------- = ------ [2, 13, 2] [2, 2] [1, 13, 6] [1, 6] ---------- = ------ [2, 13, 2] [2, 2] denominator=, [2, 13, 5] [13, 11] [11] ---------- = ------ [2, 13, 5] [2, 5] [1, 13, 8] [1, 8] ---------- = ------ [2, 13, 5] [2, 5] [3, 13, 2] [3, 2] ---------- = ------ [2, 13, 5] [2, 5] denominator=, [2, 13, 8] [13, 12] [12] ---------- = ------ [2, 13, 8] [2, 8] [1, 13, 10] [1, 10] ----------- = ------- [2, 13, 8] [2, 8] [3, 13, 6] [3, 6] ---------- = ------ [2, 13, 8] [2, 8] [4, 13, 4] [4, 4] ---------- = ------ [2, 13, 8] [2, 8] [6, 13, 0] [6, 0] ---------- = ------ [2, 13, 8] [2, 8] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 13, 0] [1, 13, 7] [1, 7] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 2] [13, 11] [11] ---------- = ------ [3, 13, 2] [3, 2] [1, 13, 8] [1, 8] ---------- = ------ [3, 13, 2] [3, 2] [2, 13, 5] [2, 5] ---------- = ------ [3, 13, 2] [3, 2] denominator=, [3, 13, 4] [1, 13, 9] [1, 9] ---------- = ------ [3, 13, 4] [3, 4] denominator=, [3, 13, 6] [13, 12] [12] ---------- = ------ [3, 13, 6] [3, 6] [1, 13, 10] [1, 10] ----------- = ------- [3, 13, 6] [3, 6] [2, 13, 8] [2, 8] ---------- = ------ [3, 13, 6] [3, 6] [4, 13, 4] [4, 4] ---------- = ------ [3, 13, 6] [3, 6] [5, 13, 2] [5, 2] ---------- = ------ [3, 13, 6] [3, 6] [6, 13, 0] [6, 0] ---------- = ------ [3, 13, 6] [3, 6] denominator=, [3, 13, 8] [1, 13, 11] [1, 11] ----------- = ------- [3, 13, 8] [3, 8] [5, 13, 5] [5, 5] ---------- = ------ [3, 13, 8] [3, 8] denominator=, [3, 13, 12] [1, 13, 13] [1, 13] ----------- = ------- [3, 13, 12] [3, 12] [5, 13, 11] [5, 11] ----------- = ------- [3, 13, 12] [3, 12] [9, 13, 9] [9, 9] ----------- = ------- [3, 13, 12] [3, 12] [13, 13, 7] [13, 7] ----------- = ------- [3, 13, 12] [3, 12] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [3, 13, 12] [3, 12] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [3, 13, 12] [3, 12] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [3, 13, 12] [3, 12] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 8, 7] [1, 10, 8, 0] [1, 10, 0] ------------- = ---------- [4, 8, 7] [4, 7] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 11, 10] [1, 11, 11, 2] [1, 11, 2] -------------- = ---------- [4, 11, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 13, 4] [13, 12] [12] ---------- = ------ [4, 13, 4] [4, 4] [1, 13, 10] [1, 10] ----------- = ------- [4, 13, 4] [4, 4] [2, 13, 8] [2, 8] ---------- = ------ [4, 13, 4] [4, 4] [3, 13, 6] [3, 6] ---------- = ------ [4, 13, 4] [4, 4] [5, 13, 2] [5, 2] ---------- = ------ [4, 13, 4] [4, 4] [6, 13, 0] [6, 0] ---------- = ------ [4, 13, 4] [4, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 7, 6] [1, 9, 7, 1] [1, 9, 1] ------------ = --------- [5, 7, 6] [5, 6] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 11, 10] [1, 10, 11, 4] [1, 10, 4] -------------- = ---------- [5, 11, 10] [5, 10] denominator=, [5, 13, 0] [2, 13, 7] [2, 7] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 2] [13, 12] [12] ---------- = ------ [5, 13, 2] [5, 2] [1, 13, 10] [1, 10] ----------- = ------- [5, 13, 2] [5, 2] [2, 13, 8] [2, 8] ---------- = ------ [5, 13, 2] [5, 2] [3, 13, 6] [3, 6] ---------- = ------ [5, 13, 2] [5, 2] [4, 13, 4] [4, 4] ---------- = ------ [5, 13, 2] [5, 2] [6, 13, 0] [6, 0] ---------- = ------ [5, 13, 2] [5, 2] denominator=, [5, 13, 4] [2, 13, 9] [2, 9] ---------- = ------ [5, 13, 4] [5, 4] denominator=, [5, 13, 5] [1, 13, 11] [1, 11] ----------- = ------- [5, 13, 5] [5, 5] [3, 13, 8] [3, 8] ---------- = ------ [5, 13, 5] [5, 5] [7, 13, 2] [7, 2] ---------- = ------ [5, 13, 5] [5, 5] denominator=, [5, 13, 6] [2, 13, 10] [2, 10] ----------- = ------- [5, 13, 6] [5, 6] [8, 13, 2] [8, 2] ---------- = ------ [5, 13, 6] [5, 6] denominator=, [5, 13, 10] [2, 13, 12] [2, 12] ----------- = ------- [5, 13, 10] [5, 10] [8, 13, 8] [8, 8] ----------- = ------- [5, 13, 10] [5, 10] [1, 0, 13, 4] [1, 0, 4] ------------- = --------- [5, 13, 10] [5, 10] [1, 6, 13, 0] [1, 6, 0] ------------- = --------- [5, 13, 10] [5, 10] denominator=, [5, 13, 11] [1, 13, 13] [1, 13] ----------- = ------- [5, 13, 11] [5, 11] [3, 13, 12] [3, 12] ----------- = ------- [5, 13, 11] [5, 11] [7, 13, 10] [7, 10] ----------- = ------- [5, 13, 11] [5, 11] [9, 13, 9] [9, 9] ----------- = ------- [5, 13, 11] [5, 11] [13, 13, 7] [13, 7] ----------- = ------- [5, 13, 11] [5, 11] [1, 1, 13, 6] [1, 1, 6] ------------- = --------- [5, 13, 11] [5, 11] [1, 5, 13, 4] [1, 5, 4] ------------- = --------- [5, 13, 11] [5, 11] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [5, 13, 11] [5, 11] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [5, 13, 11] [5, 11] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [5, 13, 11] [5, 11] denominator=, [5, 13, 12] [2, 13, 13] [2, 13] ----------- = ------- [5, 13, 12] [5, 12] [8, 13, 11] [8, 11] ----------- = ------- [5, 13, 12] [5, 12] [1, 0, 13, 9] [1, 0, 9] ------------- = --------- [5, 13, 12] [5, 12] [1, 6, 13, 7] [1, 6, 7] ------------- = --------- [5, 13, 12] [5, 12] [1, 12, 13, 5] [1, 12, 5] -------------- = ---------- [5, 13, 12] [5, 12] [2, 4, 13, 3] [2, 4, 3] ------------- = --------- [5, 13, 12] [5, 12] [2, 10, 13, 1] [2, 10, 1] -------------- = ---------- [5, 13, 12] [5, 12] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 7, 6] [1, 9, 7, 2] [1, 9, 2] ------------ = --------- [6, 7, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 11] [1, 10, 12, 6] [1, 10, 6] -------------- = ---------- [6, 12, 11] [6, 11] [3, 0, 12, 1] [3, 0, 1] ------------- = --------- [6, 12, 11] [6, 11] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 13, 0] [13, 12] [12] ---------- = ------ [6, 13, 0] [6, 0] [1, 13, 10] [1, 10] ----------- = ------- [6, 13, 0] [6, 0] [2, 13, 8] [2, 8] ---------- = ------ [6, 13, 0] [6, 0] [3, 13, 6] [3, 6] ---------- = ------ [6, 13, 0] [6, 0] [4, 13, 4] [4, 4] ---------- = ------ [6, 13, 0] [6, 0] [5, 13, 2] [5, 2] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [7, 5, 4] [1, 9, 5, 1] [1, 9, 1] ------------ = --------- [7, 5, 4] [7, 4] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 8, 7] [2, 12, 8, 0] [2, 12, 0] ------------- = ---------- [7, 8, 7] [7, 7] denominator=, [7, 9, 7] [1, 13, 9, 0] [1, 13, 0] ------------- = ---------- [7, 9, 7] [7, 7] denominator=, [7, 11, 10] [1, 10, 11, 6] [1, 10, 6] -------------- = ---------- [7, 11, 10] [7, 10] [2, 13, 11, 2] [2, 13, 2] -------------- = ---------- [7, 11, 10] [7, 10] denominator=, [7, 13, 0] [3, 13, 7] [3, 7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 2] [1, 13, 11] [1, 11] ----------- = ------- [7, 13, 2] [7, 2] [3, 13, 8] [3, 8] ---------- = ------ [7, 13, 2] [7, 2] [5, 13, 5] [5, 5] ---------- = ------ [7, 13, 2] [7, 2] denominator=, [7, 13, 4] [3, 13, 9] [3, 9] ---------- = ------ [7, 13, 4] [7, 4] denominator=, [7, 13, 8] [3, 13, 11] [3, 11] ----------- = ------- [7, 13, 8] [7, 8] [11, 13, 5] [11, 5] ----------- = ------- [7, 13, 8] [7, 8] denominator=, [7, 13, 10] [1, 13, 13] [1, 13] ----------- = ------- [7, 13, 10] [7, 10] [3, 13, 12] [3, 12] ----------- = ------- [7, 13, 10] [7, 10] [5, 13, 11] [5, 11] ----------- = ------- [7, 13, 10] [7, 10] [9, 13, 9] [9, 9] ----------- = ------- [7, 13, 10] [7, 10] [11, 13, 8] [11, 8] ----------- = ------- [7, 13, 10] [7, 10] [13, 13, 7] [13, 7] ----------- = ------- [7, 13, 10] [7, 10] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [7, 13, 10] [7, 10] [1, 5, 13, 4] [1, 5, 4] ------------- = --------- [7, 13, 10] [7, 10] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [7, 13, 10] [7, 10] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [7, 13, 10] [7, 10] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [7, 13, 10] [7, 10] denominator=, [7, 13, 12] [3, 13, 13] [3, 13] ----------- = ------- [7, 13, 12] [7, 12] [11, 13, 11] [11, 11] ------------ = -------- [7, 13, 12] [7, 12] [1, 5, 13, 9] [1, 5, 9] ------------- = --------- [7, 13, 12] [7, 12] [1, 13, 13, 7] [1, 13, 7] -------------- = ---------- [7, 13, 12] [7, 12] [2, 7, 13, 5] [2, 7, 5] ------------- = --------- [7, 13, 12] [7, 12] [3, 1, 13, 3] [3, 1, 3] ------------- = --------- [7, 13, 12] [7, 12] [3, 9, 13, 1] [3, 9, 1] ------------- = --------- [7, 13, 12] [7, 12] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 7] [1, 10, 8, 4] [1, 10, 4] ------------- = ---------- [8, 8, 7] [8, 7] [2, 12, 8, 1] [2, 12, 1] ------------- = ---------- [8, 8, 7] [8, 7] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 8] [1, 13, 10, 2] [1, 13, 2] -------------- = ---------- [8, 10, 8] [8, 8] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 13, 2] [2, 13, 10] [2, 10] ----------- = ------- [8, 13, 2] [8, 2] [5, 13, 6] [5, 6] ---------- = ------ [8, 13, 2] [8, 2] denominator=, [8, 13, 8] [2, 13, 12] [2, 12] ----------- = ------- [8, 13, 8] [8, 8] [5, 13, 10] [5, 10] ----------- = ------- [8, 13, 8] [8, 8] [11, 13, 6] [11, 6] ----------- = ------- [8, 13, 8] [8, 8] [1, 0, 13, 4] [1, 0, 4] ------------- = --------- [8, 13, 8] [8, 8] [1, 6, 13, 0] [1, 6, 0] ------------- = --------- [8, 13, 8] [8, 8] denominator=, [8, 13, 11] [2, 13, 13] [2, 13] ----------- = ------- [8, 13, 11] [8, 11] [5, 13, 12] [5, 12] ----------- = ------- [8, 13, 11] [8, 11] [11, 13, 10] [11, 10] ------------ = -------- [8, 13, 11] [8, 11] [1, 0, 13, 9] [1, 0, 9] ------------- = --------- [8, 13, 11] [8, 11] [1, 6, 13, 7] [1, 6, 7] ------------- = --------- [8, 13, 11] [8, 11] [1, 9, 13, 6] [1, 9, 6] ------------- = --------- [8, 13, 11] [8, 11] [2, 1, 13, 4] [2, 1, 4] ------------- = --------- [8, 13, 11] [8, 11] [2, 4, 13, 3] [2, 4, 3] ------------- = --------- [8, 13, 11] [8, 11] [2, 10, 13, 1] [2, 10, 1] -------------- = ---------- [8, 13, 11] [8, 11] [2, 13, 13, 0] [2, 13, 0] -------------- = ---------- [8, 13, 11] [8, 11] denominator=, [9, 3, 2] [1, 10, 3, 0] [1, 10, 0] ------------- = ---------- [9, 3, 2] [9, 2] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 7, 6] [2, 12, 7, 1] [2, 12, 1] ------------- = ---------- [9, 7, 6] [9, 6] denominator=, [9, 9, 7] [1, 13, 9, 2] [1, 13, 2] ------------- = ---------- [9, 9, 7] [9, 7] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 10] [1, 11, 11, 7] [1, 11, 7] -------------- = ---------- [9, 11, 10] [9, 10] [2, 13, 11, 4] [2, 13, 4] -------------- = ---------- [9, 11, 10] [9, 10] [4, 1, 11, 1] [4, 1, 1] ------------- = --------- [9, 11, 10] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 13, 0] [4, 13, 7] [4, 7] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 2] [4, 13, 8] [4, 8] ---------- = ------ [9, 13, 2] [9, 2] denominator=, [9, 13, 6] [4, 13, 10] [4, 10] ----------- = ------- [9, 13, 6] [9, 6] [1, 0, 13, 2] [1, 0, 2] ------------- = --------- [9, 13, 6] [9, 6] denominator=, [9, 13, 8] [4, 13, 11] [4, 11] ----------- = ------- [9, 13, 8] [9, 8] [1, 0, 13, 5] [1, 0, 5] ------------- = --------- [9, 13, 8] [9, 8] denominator=, [9, 13, 9] [1, 13, 13] [1, 13] ----------- = ------- [9, 13, 9] [9, 9] [3, 13, 12] [3, 12] ----------- = ------- [9, 13, 9] [9, 9] [5, 13, 11] [5, 11] ----------- = ------- [9, 13, 9] [9, 9] [7, 13, 10] [7, 10] ----------- = ------- [9, 13, 9] [9, 9] [11, 13, 8] [11, 8] ----------- = ------- [9, 13, 9] [9, 9] [13, 13, 7] [13, 7] ----------- = ------- [9, 13, 9] [9, 9] [1, 1, 13, 6] [1, 1, 6] ------------- = --------- [9, 13, 9] [9, 9] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [9, 13, 9] [9, 9] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [9, 13, 9] [9, 9] [1, 9, 13, 2] [1, 9, 2] ------------- = --------- [9, 13, 9] [9, 9] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [9, 13, 9] [9, 9] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [9, 13, 9] [9, 9] denominator=, [9, 13, 10] [4, 13, 12] [4, 12] ----------- = ------- [9, 13, 10] [9, 10] [1, 0, 13, 8] [1, 0, 8] ------------- = --------- [9, 13, 10] [9, 10] [1, 10, 13, 4] [1, 10, 4] -------------- = ---------- [9, 13, 10] [9, 10] [2, 6, 13, 0] [2, 6, 0] ------------- = --------- [9, 13, 10] [9, 10] denominator=, [9, 13, 12] [4, 13, 13] [4, 13] ----------- = ------- [9, 13, 12] [9, 12] [1, 0, 13, 11] [1, 0, 11] -------------- = ---------- [9, 13, 12] [9, 12] [1, 10, 13, 9] [1, 10, 9] -------------- = ---------- [9, 13, 12] [9, 12] [2, 6, 13, 7] [2, 6, 7] ------------- = --------- [9, 13, 12] [9, 12] [3, 2, 13, 5] [3, 2, 5] ------------- = --------- [9, 13, 12] [9, 12] [3, 12, 13, 3] [3, 12, 3] -------------- = ---------- [9, 13, 12] [9, 12] [4, 8, 13, 1] [4, 8, 1] ------------- = --------- [9, 13, 12] [9, 12] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 4] [1, 11, 5, 2] [1, 11, 2] ------------- = ---------- [10, 5, 4] [10, 4] [2, 12, 5, 0] [2, 12, 0] ------------- = ---------- [10, 5, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 4] [1, 13, 6, 0] [1, 13, 0] ------------- = ---------- [10, 6, 4] [10, 4] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 7] [4, 0, 8, 0] [4, 0, 0] ------------ = --------- [10, 8, 7] [10, 7] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 7] [2, 2, 10, 0] [2, 2, 0] ------------- = --------- [10, 10, 7] [10, 7] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 11, 10] [4, 1, 11, 2] [4, 1, 2] ------------- = --------- [10, 11, 10] [10, 10] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [11, 7, 6] [1, 12, 7, 4] [1, 12, 4] ------------- = ---------- [11, 7, 6] [11, 6] [2, 13, 7, 2] [2, 13, 2] ------------- = ---------- [11, 7, 6] [11, 6] [4, 0, 7, 0] [4, 0, 0] ------------ = --------- [11, 7, 6] [11, 6] denominator=, [11, 9, 6] [2, 2, 9, 0] [2, 2, 0] ------------ = --------- [11, 9, 6] [11, 6] denominator=, [11, 10, 8] [2, 0, 10, 4] [2, 0, 4] ------------- = --------- [11, 10, 8] [11, 8] [3, 3, 10, 0] [3, 3, 0] ------------- = --------- [11, 10, 8] [11, 8] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 11] [3, 0, 12, 6] [3, 0, 6] ------------- = --------- [11, 12, 11] [11, 11] [5, 3, 12, 1] [5, 3, 1] ------------- = --------- [11, 12, 11] [11, 11] denominator=, [11, 13, 0] [5, 13, 7] [5, 7] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 4] [5, 13, 9] [5, 9] ----------- = ------- [11, 13, 4] [11, 4] denominator=, [11, 13, 5] [3, 13, 11] [3, 11] ----------- = ------- [11, 13, 5] [11, 5] [7, 13, 8] [7, 8] ----------- = ------- [11, 13, 5] [11, 5] [1, 1, 13, 2] [1, 1, 2] ------------- = --------- [11, 13, 5] [11, 5] denominator=, [11, 13, 6] [2, 13, 12] [2, 12] ----------- = ------- [11, 13, 6] [11, 6] [5, 13, 10] [5, 10] ----------- = ------- [11, 13, 6] [11, 6] [8, 13, 8] [8, 8] ----------- = ------- [11, 13, 6] [11, 6] [1, 0, 13, 4] [1, 0, 4] ------------- = --------- [11, 13, 6] [11, 6] [1, 3, 13, 2] [1, 3, 2] ------------- = --------- [11, 13, 6] [11, 6] [1, 6, 13, 0] [1, 6, 0] ------------- = --------- [11, 13, 6] [11, 6] denominator=, [11, 13, 8] [1, 13, 13] [1, 13] ----------- = ------- [11, 13, 8] [11, 8] [3, 13, 12] [3, 12] ----------- = ------- [11, 13, 8] [11, 8] [5, 13, 11] [5, 11] ----------- = ------- [11, 13, 8] [11, 8] [7, 13, 10] [7, 10] ----------- = ------- [11, 13, 8] [11, 8] [9, 13, 9] [9, 9] ----------- = ------- [11, 13, 8] [11, 8] [13, 13, 7] [13, 7] ----------- = ------- [11, 13, 8] [11, 8] [1, 1, 13, 6] [1, 1, 6] ------------- = --------- [11, 13, 8] [11, 8] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [11, 13, 8] [11, 8] [1, 5, 13, 4] [1, 5, 4] ------------- = --------- [11, 13, 8] [11, 8] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [11, 13, 8] [11, 8] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [11, 13, 8] [11, 8] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [11, 13, 8] [11, 8] denominator=, [11, 13, 10] [2, 13, 13] [2, 13] ------------ = -------- [11, 13, 10] [11, 10] [5, 13, 12] [5, 12] ------------ = -------- [11, 13, 10] [11, 10] [8, 13, 11] [8, 11] ------------ = -------- [11, 13, 10] [11, 10] [1, 0, 13, 9] [1, 0, 9] ------------- = --------- [11, 13, 10] [11, 10] [1, 3, 13, 8] [1, 3, 8] ------------- = --------- [11, 13, 10] [11, 10] [1, 6, 13, 7] [1, 6, 7] ------------- = --------- [11, 13, 10] [11, 10] [1, 12, 13, 5] [1, 12, 5] -------------- = ---------- [11, 13, 10] [11, 10] [2, 1, 13, 4] [2, 1, 4] ------------- = --------- [11, 13, 10] [11, 10] [2, 4, 13, 3] [2, 4, 3] ------------- = --------- [11, 13, 10] [11, 10] [2, 10, 13, 1] [2, 10, 1] -------------- = ---------- [11, 13, 10] [11, 10] [2, 13, 13, 0] [2, 13, 0] -------------- = ---------- [11, 13, 10] [11, 10] denominator=, [11, 13, 11] [3, 13, 13] [3, 13] ------------ = -------- [11, 13, 11] [11, 11] [7, 13, 12] [7, 12] ------------ = -------- [11, 13, 11] [11, 11] [1, 1, 13, 10] [1, 1, 10] -------------- = ---------- [11, 13, 11] [11, 11] [1, 5, 13, 9] [1, 5, 9] ------------- = --------- [11, 13, 11] [11, 11] [1, 13, 13, 7] [1, 13, 7] -------------- = ---------- [11, 13, 11] [11, 11] [2, 3, 13, 6] [2, 3, 6] ------------- = --------- [11, 13, 11] [11, 11] [2, 11, 13, 4] [2, 11, 4] -------------- = ---------- [11, 13, 11] [11, 11] [3, 1, 13, 3] [3, 1, 3] ------------- = --------- [11, 13, 11] [11, 11] [3, 9, 13, 1] [3, 9, 1] ------------- = --------- [11, 13, 11] [11, 11] [3, 13, 13, 0] [3, 13, 0] -------------- = ---------- [11, 13, 11] [11, 11] denominator=, [11, 13, 12] [5, 13, 13] [5, 13] ------------ = -------- [11, 13, 12] [11, 12] [1, 3, 13, 11] [1, 3, 11] -------------- = ---------- [11, 13, 12] [11, 12] [2, 1, 13, 9] [2, 1, 9] ------------- = --------- [11, 13, 12] [11, 12] [2, 13, 13, 7] [2, 13, 7] -------------- = ---------- [11, 13, 12] [11, 12] [3, 11, 13, 5] [3, 11, 5] -------------- = ---------- [11, 13, 12] [11, 12] [4, 9, 13, 3] [4, 9, 3] ------------- = --------- [11, 13, 12] [11, 12] [5, 7, 13, 1] [5, 7, 1] ------------- = --------- [11, 13, 12] [11, 12] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 7] [3, 3, 9, 0] [3, 3, 0] ------------ = --------- [12, 9, 7] [12, 7] denominator=, [12, 9, 8] [1, 13, 9, 6] [1, 13, 6] ------------- = ---------- [12, 9, 8] [12, 8] [3, 0, 9, 4] [3, 0, 4] ------------ = --------- [12, 9, 8] [12, 8] [4, 1, 9, 2] [4, 1, 2] ------------ = --------- [12, 9, 8] [12, 8] [5, 2, 9, 0] [5, 2, 0] ------------ = --------- [12, 9, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 8] [2, 5, 12, 0] [2, 5, 0] ------------- = --------- [12, 12, 8] [12, 8] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 5, 4] [3, 0, 5, 1] [3, 0, 1] ------------ = --------- [13, 5, 4] [13, 4] denominator=, [13, 7, 5] [2, 1, 7, 2] [2, 1, 2] ------------ = --------- [13, 7, 5] [13, 5] denominator=, [13, 7, 6] [4, 1, 7, 1] [4, 1, 1] ------------ = --------- [13, 7, 6] [13, 6] denominator=, [13, 8, 7] [5, 2, 8, 0] [5, 2, 0] ------------ = --------- [13, 8, 7] [13, 7] denominator=, [13, 11, 7] [2, 5, 11, 0] [2, 5, 0] ------------- = --------- [13, 11, 7] [13, 7] denominator=, [13, 11, 8] [2, 3, 11, 3] [2, 3, 3] ------------- = --------- [13, 11, 8] [13, 8] denominator=, [13, 11, 10] [2, 0, 11, 8] [2, 0, 8] ------------- = --------- [13, 11, 10] [13, 10] [3, 1, 11, 6] [3, 1, 6] ------------- = --------- [13, 11, 10] [13, 10] [4, 2, 11, 4] [4, 2, 4] ------------- = --------- [13, 11, 10] [13, 10] [5, 3, 11, 2] [5, 3, 2] ------------- = --------- [13, 11, 10] [13, 10] [6, 4, 11, 0] [6, 4, 0] ------------- = --------- [13, 11, 10] [13, 10] denominator=, [13, 13, 2] [6, 13, 8] [6, 8] ----------- = ------- [13, 13, 2] [13, 2] denominator=, [13, 13, 4] [6, 13, 9] [6, 9] ----------- = ------- [13, 13, 4] [13, 4] denominator=, [13, 13, 6] [6, 13, 10] [6, 10] ----------- = ------- [13, 13, 6] [13, 6] [1, 6, 13, 2] [1, 6, 2] ------------- = --------- [13, 13, 6] [13, 6] denominator=, [13, 13, 7] [1, 13, 13] [1, 13] ----------- = ------- [13, 13, 7] [13, 7] [3, 13, 12] [3, 12] ----------- = ------- [13, 13, 7] [13, 7] [5, 13, 11] [5, 11] ----------- = ------- [13, 13, 7] [13, 7] [7, 13, 10] [7, 10] ----------- = ------- [13, 13, 7] [13, 7] [9, 13, 9] [9, 9] ----------- = ------- [13, 13, 7] [13, 7] [11, 13, 8] [11, 8] ----------- = ------- [13, 13, 7] [13, 7] [1, 1, 13, 6] [1, 1, 6] ------------- = --------- [13, 13, 7] [13, 7] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [13, 13, 7] [13, 7] [1, 5, 13, 4] [1, 5, 4] ------------- = --------- [13, 13, 7] [13, 7] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [13, 13, 7] [13, 7] [1, 9, 13, 2] [1, 9, 2] ------------- = --------- [13, 13, 7] [13, 7] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [13, 13, 7] [13, 7] denominator=, [13, 13, 8] [6, 13, 11] [6, 11] ----------- = ------- [13, 13, 8] [13, 8] [1, 6, 13, 5] [1, 6, 5] ------------- = --------- [13, 13, 8] [13, 8] denominator=, [13, 13, 10] [6, 13, 12] [6, 12] ------------ = -------- [13, 13, 10] [13, 10] [1, 6, 13, 8] [1, 6, 8] ------------- = --------- [13, 13, 10] [13, 10] [2, 6, 13, 4] [2, 6, 4] ------------- = --------- [13, 13, 10] [13, 10] [3, 6, 13, 0] [3, 6, 0] ------------- = --------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [6, 13, 13] [6, 13] ------------ = -------- [13, 13, 12] [13, 12] [1, 6, 13, 11] [1, 6, 11] -------------- = ---------- [13, 13, 12] [13, 12] [2, 6, 13, 9] [2, 6, 9] ------------- = --------- [13, 13, 12] [13, 12] [3, 6, 13, 7] [3, 6, 7] ------------- = --------- [13, 13, 12] [13, 12] [4, 6, 13, 5] [4, 6, 5] ------------- = --------- [13, 13, 12] [13, 12] [5, 6, 13, 3] [5, 6, 3] ------------- = --------- [13, 13, 12] [13, 12] [6, 6, 13, 1] [6, 6, 1] ------------- = --------- [13, 13, 12] [13, 12] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 1] [8, 5, 10] [5, 10] ---------- = ------- [1, 8, 1] [1, 1] denominator=, [1, 8, 4] [8, 6, 12] [6, 12] ---------- = ------- [1, 8, 4] [1, 4] [2, 8, 1, 2] [2, 1, 2] ------------ = --------- [1, 8, 4] [1, 4] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 6, 6] [10, 6, 4, 7] [10, 4, 7] ------------- = ---------- [2, 6, 6] [2, 6] [1, 12, 6, 1, 7] [1, 12, 1, 7] ---------------- = ------------- [2, 6, 6] [2, 6] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 2] [9, 7, 10] [7, 10] ---------- = ------- [2, 9, 2] [2, 2] [1, 9, 4, 12] [1, 4, 12] ------------- = ---------- [2, 9, 2] [2, 2] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 10, 10] [11, 10, 7, 7] [11, 7, 7] -------------- = ---------- [2, 10, 10] [2, 10] [2, 1, 10, 2, 7] [2, 1, 2, 7] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 13, 2] [13, 10, 0] [10, 0] ----------- = ------- [2, 13, 2] [2, 2] [1, 13, 6, 0] [1, 6, 0] ------------- = --------- [2, 13, 2] [2, 2] denominator=, [2, 13, 5] [13, 11, 0] [11, 0] ----------- = ------- [2, 13, 5] [2, 5] [1, 13, 8, 0] [1, 8, 0] ------------- = --------- [2, 13, 5] [2, 5] [3, 13, 2, 0] [3, 2, 0] ------------- = --------- [2, 13, 5] [2, 5] denominator=, [2, 13, 8] [13, 12, 0] [12, 0] ----------- = ------- [2, 13, 8] [2, 8] [1, 13, 10, 0] [1, 10, 0] -------------- = ---------- [2, 13, 8] [2, 8] [3, 13, 6, 0] [3, 6, 0] ------------- = --------- [2, 13, 8] [2, 8] [4, 13, 4, 0] [4, 4, 0] ------------- = --------- [2, 13, 8] [2, 8] [6, 13, 0, 0] [6, 0, 0] ------------- = --------- [2, 13, 8] [2, 8] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 8] [1, 1, 9, 2, 7] [1, 1, 2, 7] --------------- = ------------ [3, 9, 8] [3, 8] denominator=, [3, 9, 9] [11, 9, 7, 7] [11, 7, 7] ------------- = ---------- [3, 9, 9] [3, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] [3, 1, 9, 1, 7] [3, 1, 1, 7] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 0] [10, 8, 8] [8, 8] ---------- = ------ [3, 10, 0] [3, 0] [1, 10, 5, 10] [1, 5, 10] -------------- = ---------- [3, 10, 0] [3, 0] [2, 10, 2, 12] [2, 2, 12] -------------- = ---------- [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 13, 0] [13, 10, 7] [10, 7] ----------- = ------- [3, 13, 0] [3, 0] [2, 13, 3, 7] [2, 3, 7] ------------- = --------- [3, 13, 0] [3, 0] denominator=, [3, 13, 2] [13, 11, 0] [11, 0] ----------- = ------- [3, 13, 2] [3, 2] [2, 13, 5, 0] [2, 5, 0] ------------- = --------- [3, 13, 2] [3, 2] denominator=, [3, 13, 4] [13, 11, 7] [11, 7] ----------- = ------- [3, 13, 4] [3, 4] [2, 13, 6, 7] [2, 6, 7] ------------- = --------- [3, 13, 4] [3, 4] [4, 13, 1, 7] [4, 1, 7] ------------- = --------- [3, 13, 4] [3, 4] denominator=, [3, 13, 6] [13, 12, 0] [12, 0] ----------- = ------- [3, 13, 6] [3, 6] [2, 13, 8, 0] [2, 8, 0] ------------- = --------- [3, 13, 6] [3, 6] [4, 13, 4, 0] [4, 4, 0] ------------- = --------- [3, 13, 6] [3, 6] [6, 13, 0, 0] [6, 0, 0] ------------- = --------- [3, 13, 6] [3, 6] denominator=, [3, 13, 8] [13, 12, 7] [12, 7] ----------- = ------- [3, 13, 8] [3, 8] [2, 13, 9, 7] [2, 9, 7] ------------- = --------- [3, 13, 8] [3, 8] [4, 13, 6, 7] [4, 6, 7] ------------- = --------- [3, 13, 8] [3, 8] [6, 13, 3, 7] [6, 3, 7] ------------- = --------- [3, 13, 8] [3, 8] [8, 13, 0, 7] [8, 0, 7] ------------- = --------- [3, 13, 8] [3, 8] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 13, 12] [13, 13, 7] [13, 7] ----------- = ------- [3, 13, 12] [3, 12] [2, 13, 12, 7] [2, 12, 7] -------------- = ---------- [3, 13, 12] [3, 12] [4, 13, 11, 7] [4, 11, 7] -------------- = ---------- [3, 13, 12] [3, 12] [6, 13, 10, 7] [6, 10, 7] -------------- = ---------- [3, 13, 12] [3, 12] [8, 13, 9, 7] [8, 9, 7] ------------- = --------- [3, 13, 12] [3, 12] [10, 13, 8, 7] [10, 8, 7] -------------- = ---------- [3, 13, 12] [3, 12] [12, 13, 7, 7] [12, 7, 7] -------------- = ---------- [3, 13, 12] [3, 12] [1, 0, 13, 6, 7] [1, 0, 6, 7] ---------------- = ------------ [3, 13, 12] [3, 12] [1, 2, 13, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [3, 13, 12] [3, 12] [1, 4, 13, 4, 7] [1, 4, 4, 7] ---------------- = ------------ [3, 13, 12] [3, 12] [1, 6, 13, 3, 7] [1, 6, 3, 7] ---------------- = ------------ [3, 13, 12] [3, 12] [1, 8, 13, 2, 7] [1, 8, 2, 7] ---------------- = ------------ [3, 13, 12] [3, 12] [1, 10, 13, 1, 7] [1, 10, 1, 7] ----------------- = ------------- [3, 13, 12] [3, 12] [1, 12, 13, 0, 7] [1, 12, 0, 7] ----------------- = ------------- [3, 13, 12] [3, 12] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 13] [6, 0, 13] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [1, 0, 8, 3, 7] [1, 0, 3, 7] --------------- = ------------ [4, 8, 7] [4, 7] [1, 10, 8, 0, 0] [1, 10, 0, 0] ---------------- = ------------- [4, 8, 7] [4, 7] denominator=, [4, 8, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 1] [1, 11, 7, 10] [1, 7, 10] -------------- = ---------- [4, 11, 1] [4, 1] denominator=, [4, 11, 4] [1, 11, 8, 12] [1, 8, 12] -------------- = ---------- [4, 11, 4] [4, 4] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 11, 10] [1, 11, 11, 2] [1, 11, 2] -------------- = ---------- [4, 11, 10] [4, 10] [7, 11, 8, 12] [7, 8, 12] -------------- = ---------- [4, 11, 10] [4, 10] [10, 11, 7, 10] [10, 7, 10] --------------- = ----------- [4, 11, 10] [4, 10] [1, 2, 11, 5, 6] [1, 2, 5, 6] ---------------- = ------------ [4, 11, 10] [4, 10] [1, 5, 11, 4, 4] [1, 5, 4, 4] ---------------- = ------------ [4, 11, 10] [4, 10] [1, 11, 11, 2, 0] [1, 11, 2, 0] ----------------- = ------------- [4, 11, 10] [4, 10] [2, 0, 11, 0, 12] [2, 0, 0, 12] ----------------- = ------------- [4, 11, 10] [4, 10] denominator=, [4, 12, 0] [12, 10, 7] [10, 7] ----------- = ------- [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 10] [1, 6, 12, 0, 7] [1, 6, 0, 7] ---------------- = ------------ [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [12, 12, 10, 7] [12, 10, 7] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 0, 12, 7, 7] [2, 0, 7, 7] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 2, 12, 4, 7] [3, 2, 4, 7] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 4, 12, 1, 7] [4, 4, 1, 7] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 13, 4] [13, 12, 0] [12, 0] ----------- = ------- [4, 13, 4] [4, 4] [1, 13, 10, 0] [1, 10, 0] -------------- = ---------- [4, 13, 4] [4, 4] [2, 13, 8, 0] [2, 8, 0] ------------- = --------- [4, 13, 4] [4, 4] [3, 13, 6, 0] [3, 6, 0] ------------- = --------- [4, 13, 4] [4, 4] [5, 13, 2, 0] [5, 2, 0] ------------- = --------- [4, 13, 4] [4, 4] [6, 13, 0, 0] [6, 0, 0] ------------- = --------- [4, 13, 4] [4, 4] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 7, 6] [1, 0, 7, 3, 7] [1, 0, 3, 7] --------------- = ------------ [5, 7, 6] [5, 6] [1, 9, 7, 1, 0] [1, 9, 1, 0] --------------- = ------------ [5, 7, 6] [5, 6] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 11, 10] [1, 10, 11, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [5, 11, 10] [5, 10] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 2] [13, 12, 0] [12, 0] ----------- = ------- [5, 13, 2] [5, 2] [1, 13, 10, 0] [1, 10, 0] -------------- = ---------- [5, 13, 2] [5, 2] [3, 13, 6, 0] [3, 6, 0] ------------- = --------- [5, 13, 2] [5, 2] [4, 13, 4, 0] [4, 4, 0] ------------- = --------- [5, 13, 2] [5, 2] [6, 13, 0, 0] [6, 0, 0] ------------- = --------- [5, 13, 2] [5, 2] denominator=, [5, 13, 5] [13, 12, 7] [12, 7] ----------- = ------- [5, 13, 5] [5, 5] [1, 13, 11, 0] [1, 11, 0] -------------- = ---------- [5, 13, 5] [5, 5] [3, 13, 8, 0] [3, 8, 0] ------------- = --------- [5, 13, 5] [5, 5] [4, 13, 6, 7] [4, 6, 7] ------------- = --------- [5, 13, 5] [5, 5] [6, 13, 3, 7] [6, 3, 7] ------------- = --------- [5, 13, 5] [5, 5] [7, 13, 2, 0] [7, 2, 0] ------------- = --------- [5, 13, 5] [5, 5] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 13, 11] [13, 13, 7] [13, 7] ----------- = ------- [5, 13, 11] [5, 11] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [5, 13, 11] [5, 11] [3, 13, 12, 0] [3, 12, 0] -------------- = ---------- [5, 13, 11] [5, 11] [4, 13, 11, 7] [4, 11, 7] -------------- = ---------- [5, 13, 11] [5, 11] [6, 13, 10, 7] [6, 10, 7] -------------- = ---------- [5, 13, 11] [5, 11] [7, 13, 10, 0] [7, 10, 0] -------------- = ---------- [5, 13, 11] [5, 11] [9, 13, 9, 0] [9, 9, 0] ------------- = --------- [5, 13, 11] [5, 11] [10, 13, 8, 7] [10, 8, 7] -------------- = ---------- [5, 13, 11] [5, 11] [12, 13, 7, 7] [12, 7, 7] -------------- = ---------- [5, 13, 11] [5, 11] [13, 13, 7, 0] [13, 7, 0] -------------- = ---------- [5, 13, 11] [5, 11] [1, 1, 13, 6, 0] [1, 1, 6, 0] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 2, 13, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 4, 13, 4, 7] [1, 4, 4, 7] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 5, 13, 4, 0] [1, 5, 4, 0] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 7, 13, 3, 0] [1, 7, 3, 0] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 8, 13, 2, 7] [1, 8, 2, 7] ---------------- = ------------ [5, 13, 11] [5, 11] [1, 10, 13, 1, 7] [1, 10, 1, 7] ----------------- = ------------- [5, 13, 11] [5, 11] [1, 11, 13, 1, 0] [1, 11, 1, 0] ----------------- = ------------- [5, 13, 11] [5, 11] [1, 13, 13, 0, 0] [1, 13, 0, 0] ----------------- = ------------- [5, 13, 11] [5, 11] denominator=, [6, 2, 2] [1, 12, 2, 1, 7] [1, 12, 1, 7] ---------------- = ------------- [6, 2, 2] [6, 2] [4, 10, 2, 0, 7] [4, 10, 0, 7] ---------------- = ------------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 13] [8, 1, 13] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 12] [10, 0, 12] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 12] [9, 2, 12] ------------- = ---------- [6, 6, 4] [6, 4] [1, 1, 6, 0, 8] [1, 1, 0, 8] --------------- = ------------ [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 7, 6] [1, 9, 7, 2, 0] [1, 9, 2, 0] --------------- = ------------ [6, 7, 6] [6, 6] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 10, 8] [1, 3, 10, 3, 7] [1, 3, 3, 7] ---------------- = ------------ [6, 10, 8] [6, 8] denominator=, [6, 10, 10] [2, 0, 10, 7, 7] [2, 0, 7, 7] ---------------- = ------------ [6, 10, 10] [6, 10] [5, 2, 10, 2, 7] [5, 2, 2, 7] ---------------- = ------------ [6, 10, 10] [6, 10] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 12, 9] [1, 7, 12, 0, 7] [1, 7, 0, 7] ---------------- = ------------ [6, 12, 9] [6, 9] denominator=, [6, 12, 11] [1, 1, 12, 8, 7] [1, 1, 8, 7] ---------------- = ------------ [6, 12, 11] [6, 11] [1, 10, 12, 6, 0] [1, 10, 6, 0] ----------------- = ------------- [6, 12, 11] [6, 11] [2, 5, 12, 3, 7] [2, 5, 3, 7] ---------------- = ------------ [6, 12, 11] [6, 11] [3, 0, 12, 1, 0] [3, 0, 1, 0] ---------------- = ------------ [6, 12, 11] [6, 11] denominator=, [6, 12, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] denominator=, [7, 5, 4] [1, 1, 5, 2, 7] [1, 1, 2, 7] --------------- = ------------ [7, 5, 4] [7, 4] [1, 9, 5, 1, 0] [1, 9, 1, 0] --------------- = ------------ [7, 5, 4] [7, 4] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 8, 7] [2, 12, 8, 0, 0] [2, 12, 0, 0] ---------------- = ------------- [7, 8, 7] [7, 7] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 9, 7] [1, 3, 9, 3, 7] [1, 3, 3, 7] --------------- = ------------ [7, 9, 7] [7, 7] [1, 13, 9, 0, 0] [1, 13, 0, 0] ---------------- = ------------- [7, 9, 7] [7, 7] denominator=, [7, 9, 8] [2, 4, 9, 2, 7] [2, 4, 2, 7] --------------- = ------------ [7, 9, 8] [7, 8] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 10] [1, 10, 11, 6, 0] [1, 10, 6, 0] ----------------- = ------------- [7, 11, 10] [7, 10] [2, 13, 11, 2, 0] [2, 13, 2, 0] ----------------- = ------------- [7, 11, 10] [7, 10] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [1, 13, 10, 7] [1, 10, 7] -------------- = ---------- [7, 13, 0] [7, 0] [5, 13, 3, 7] [5, 3, 7] ------------- = --------- [7, 13, 0] [7, 0] denominator=, [7, 13, 2] [13, 12, 7] [12, 7] ----------- = ------- [7, 13, 2] [7, 2] [1, 13, 11, 0] [1, 11, 0] -------------- = ---------- [7, 13, 2] [7, 2] [2, 13, 9, 7] [2, 9, 7] ------------- = --------- [7, 13, 2] [7, 2] [4, 13, 6, 7] [4, 6, 7] ------------- = --------- [7, 13, 2] [7, 2] [5, 13, 5, 0] [5, 5, 0] ------------- = --------- [7, 13, 2] [7, 2] [6, 13, 3, 7] [6, 3, 7] ------------- = --------- [7, 13, 2] [7, 2] [8, 13, 0, 7] [8, 0, 7] ------------- = --------- [7, 13, 2] [7, 2] denominator=, [7, 13, 4] [1, 13, 11, 7] [1, 11, 7] -------------- = ---------- [7, 13, 4] [7, 4] [5, 13, 6, 7] [5, 6, 7] ------------- = --------- [7, 13, 4] [7, 4] [9, 13, 1, 7] [9, 1, 7] ------------- = --------- [7, 13, 4] [7, 4] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 13, 8] [1, 13, 12, 7] [1, 12, 7] -------------- = ---------- [7, 13, 8] [7, 8] [5, 13, 9, 7] [5, 9, 7] ------------- = --------- [7, 13, 8] [7, 8] [9, 13, 6, 7] [9, 6, 7] ------------- = --------- [7, 13, 8] [7, 8] [13, 13, 3, 7] [13, 3, 7] -------------- = ---------- [7, 13, 8] [7, 8] [1, 3, 13, 0, 7] [1, 3, 0, 7] ---------------- = ------------ [7, 13, 8] [7, 8] denominator=, [7, 13, 10] [13, 13, 7] [13, 7] ----------- = ------- [7, 13, 10] [7, 10] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [7, 13, 10] [7, 10] [2, 13, 12, 7] [2, 12, 7] -------------- = ---------- [7, 13, 10] [7, 10] [4, 13, 11, 7] [4, 11, 7] -------------- = ---------- [7, 13, 10] [7, 10] [5, 13, 11, 0] [5, 11, 0] -------------- = ---------- [7, 13, 10] [7, 10] [6, 13, 10, 7] [6, 10, 7] -------------- = ---------- [7, 13, 10] [7, 10] [8, 13, 9, 7] [8, 9, 7] ------------- = --------- [7, 13, 10] [7, 10] [9, 13, 9, 0] [9, 9, 0] ------------- = --------- [7, 13, 10] [7, 10] [10, 13, 8, 7] [10, 8, 7] -------------- = ---------- [7, 13, 10] [7, 10] [12, 13, 7, 7] [12, 7, 7] -------------- = ---------- [7, 13, 10] [7, 10] [13, 13, 7, 0] [13, 7, 0] -------------- = ---------- [7, 13, 10] [7, 10] [1, 0, 13, 6, 7] [1, 0, 6, 7] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 2, 13, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 3, 13, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 4, 13, 4, 7] [1, 4, 4, 7] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 6, 13, 3, 7] [1, 6, 3, 7] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 7, 13, 3, 0] [1, 7, 3, 0] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 8, 13, 2, 7] [1, 8, 2, 7] ---------------- = ------------ [7, 13, 10] [7, 10] [1, 10, 13, 1, 7] [1, 10, 1, 7] ----------------- = ------------- [7, 13, 10] [7, 10] [1, 11, 13, 1, 0] [1, 11, 1, 0] ----------------- = ------------- [7, 13, 10] [7, 10] [1, 12, 13, 0, 7] [1, 12, 0, 7] ----------------- = ------------- [7, 13, 10] [7, 10] denominator=, [7, 13, 12] [1, 13, 13, 7] [1, 13, 7] -------------- = ---------- [7, 13, 12] [7, 12] [5, 13, 12, 7] [5, 12, 7] -------------- = ---------- [7, 13, 12] [7, 12] [9, 13, 11, 7] [9, 11, 7] -------------- = ---------- [7, 13, 12] [7, 12] [13, 13, 10, 7] [13, 10, 7] --------------- = ----------- [7, 13, 12] [7, 12] [1, 3, 13, 9, 7] [1, 3, 9, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [1, 7, 13, 8, 7] [1, 7, 8, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [1, 11, 13, 7, 7] [1, 11, 7, 7] ----------------- = ------------- [7, 13, 12] [7, 12] [2, 1, 13, 6, 7] [2, 1, 6, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [2, 5, 13, 5, 7] [2, 5, 5, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [2, 9, 13, 4, 7] [2, 9, 4, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [2, 13, 13, 3, 7] [2, 13, 3, 7] ----------------- = ------------- [7, 13, 12] [7, 12] [3, 3, 13, 2, 7] [3, 3, 2, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [3, 7, 13, 1, 7] [3, 7, 1, 7] ---------------- = ------------ [7, 13, 12] [7, 12] [3, 11, 13, 0, 7] [3, 11, 0, 7] ----------------- = ------------- [7, 13, 12] [7, 12] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 13] [10, 2, 13] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 12] [12, 1, 12] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 0, 11] [1, 0, 0, 11] ---------------- = ------------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 11] [12, 4, 11] -------------- = ----------- [8, 8, 6] [8, 6] [1, 6, 8, 2, 5] [1, 6, 2, 5] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [1, 13, 10, 2, 0] [1, 13, 2, 0] ----------------- = ------------- [8, 10, 8] [8, 8] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 10] [2, 9, 12, 0, 7] [2, 9, 0, 7] ---------------- = ------------ [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 13, 2] [2, 13, 10, 0] [2, 10, 0] -------------- = ---------- [8, 13, 2] [8, 2] [5, 13, 6, 0] [5, 6, 0] ------------- = --------- [8, 13, 2] [8, 2] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 13, 8] [2, 13, 12, 0] [2, 12, 0] -------------- = ---------- [8, 13, 8] [8, 8] [5, 13, 10, 0] [5, 10, 0] -------------- = ---------- [8, 13, 8] [8, 8] [11, 13, 6, 0] [11, 6, 0] -------------- = ---------- [8, 13, 8] [8, 8] [1, 0, 13, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [8, 13, 8] [8, 8] [1, 6, 13, 0, 0] [1, 6, 0, 0] ---------------- = ------------ [8, 13, 8] [8, 8] denominator=, [8, 13, 11] [2, 13, 13, 0] [2, 13, 0] -------------- = ---------- [8, 13, 11] [8, 11] [5, 13, 12, 0] [5, 12, 0] -------------- = ---------- [8, 13, 11] [8, 11] [11, 13, 10, 0] [11, 10, 0] --------------- = ----------- [8, 13, 11] [8, 11] [1, 0, 13, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [8, 13, 11] [8, 11] [1, 6, 13, 7, 0] [1, 6, 7, 0] ---------------- = ------------ [8, 13, 11] [8, 11] [1, 9, 13, 6, 0] [1, 9, 6, 0] ---------------- = ------------ [8, 13, 11] [8, 11] [2, 1, 13, 4, 0] [2, 1, 4, 0] ---------------- = ------------ [8, 13, 11] [8, 11] [2, 4, 13, 3, 0] [2, 4, 3, 0] ---------------- = ------------ [8, 13, 11] [8, 11] [2, 10, 13, 1, 0] [2, 10, 1, 0] ----------------- = ------------- [8, 13, 11] [8, 11] [2, 13, 13, 0, 0] [2, 13, 0, 0] ----------------- = ------------- [8, 13, 11] [8, 11] denominator=, [9, 3, 2] [1, 10, 3, 0, 0] [1, 10, 0, 0] ---------------- = ------------- [9, 3, 2] [9, 2] denominator=, [9, 3, 3] [2, 1, 3, 2, 7] [2, 1, 2, 7] --------------- = ------------ [9, 3, 3] [9, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] [7, 11, 3, 0, 7] [7, 11, 0, 7] ---------------- = ------------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [9, 7, 6] [2, 12, 7, 1, 0] [2, 12, 1, 0] ---------------- = ------------- [9, 7, 6] [9, 6] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 13] [12, 0, 13] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 12] [12, 4, 12] -------------- = ----------- [9, 9, 6] [9, 6] [1, 1, 9, 3, 10] [1, 1, 3, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 7, 9, 1, 6] [1, 7, 1, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 0, 4] [1, 10, 0, 4] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 11, 10] [1, 11, 11, 7] [1, 11, 7] -------------- = ---------- [9, 11, 10] [9, 10] [1, 3, 11, 8, 7] [1, 3, 8, 7] ---------------- = ------------ [9, 11, 10] [9, 10] [1, 11, 11, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [9, 11, 10] [9, 10] [2, 5, 11, 5, 7] [2, 5, 5, 7] ---------------- = ------------ [9, 11, 10] [9, 10] [2, 13, 11, 4, 0] [2, 13, 4, 0] ----------------- = ------------- [9, 11, 10] [9, 10] [3, 7, 11, 2, 7] [3, 7, 2, 7] ---------------- = ------------ [9, 11, 10] [9, 10] [4, 1, 11, 1, 0] [4, 1, 1, 0] ---------------- = ------------ [9, 11, 10] [9, 10] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 13, 9] [13, 13, 7] [13, 7] ----------- = ------- [9, 13, 9] [9, 9] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [9, 13, 9] [9, 9] [2, 13, 12, 7] [2, 12, 7] -------------- = ---------- [9, 13, 9] [9, 9] [3, 13, 12, 0] [3, 12, 0] -------------- = ---------- [9, 13, 9] [9, 9] [5, 13, 11, 0] [5, 11, 0] -------------- = ---------- [9, 13, 9] [9, 9] [6, 13, 10, 7] [6, 10, 7] -------------- = ---------- [9, 13, 9] [9, 9] [7, 13, 10, 0] [7, 10, 0] -------------- = ---------- [9, 13, 9] [9, 9] [8, 13, 9, 7] [8, 9, 7] ------------- = --------- [9, 13, 9] [9, 9] [10, 13, 8, 7] [10, 8, 7] -------------- = ---------- [9, 13, 9] [9, 9] [11, 13, 8, 0] [11, 8, 0] -------------- = ---------- [9, 13, 9] [9, 9] [12, 13, 7, 7] [12, 7, 7] -------------- = ---------- [9, 13, 9] [9, 9] [13, 13, 7, 0] [13, 7, 0] -------------- = ---------- [9, 13, 9] [9, 9] [1, 1, 13, 6, 0] [1, 1, 6, 0] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 2, 13, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 3, 13, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 4, 13, 4, 7] [1, 4, 4, 7] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 6, 13, 3, 7] [1, 6, 3, 7] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 7, 13, 3, 0] [1, 7, 3, 0] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 8, 13, 2, 7] [1, 8, 2, 7] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 9, 13, 2, 0] [1, 9, 2, 0] ---------------- = ------------ [9, 13, 9] [9, 9] [1, 11, 13, 1, 0] [1, 11, 1, 0] ----------------- = ------------- [9, 13, 9] [9, 9] [1, 12, 13, 0, 7] [1, 12, 0, 7] ----------------- = ------------- [9, 13, 9] [9, 9] [1, 13, 13, 0, 0] [1, 13, 0, 0] ----------------- = ------------- [9, 13, 9] [9, 9] denominator=, [10, 2, 2] [3, 1, 2, 1, 7] [3, 1, 1, 7] --------------- = ------------ [10, 2, 2] [10, 2] [7, 11, 2, 0, 7] [7, 11, 0, 7] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 5, 4] [1, 11, 5, 2, 0] [1, 11, 2, 0] ---------------- = ------------- [10, 5, 4] [10, 4] [2, 12, 5, 0, 0] [2, 12, 0, 0] ---------------- = ------------- [10, 5, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 6, 4] [1, 13, 6, 0, 0] [1, 13, 0, 0] ---------------- = ------------- [10, 6, 4] [10, 4] denominator=, [10, 6, 6] [3, 2, 6, 4, 7] [3, 2, 4, 7] --------------- = ------------ [10, 6, 6] [10, 6] [8, 0, 6, 1, 7] [8, 0, 1, 7] --------------- = ------------ [10, 6, 6] [10, 6] denominator=, [10, 8, 7] [2, 5, 8, 3, 7] [2, 5, 3, 7] --------------- = ------------ [10, 8, 7] [10, 7] [4, 0, 8, 0, 0] [4, 0, 0, 0] --------------- = ------------ [10, 8, 7] [10, 7] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [1, 1, 10, 0, 12] [1, 1, 0, 12] ----------------- = ------------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 13] [12, 3, 13] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 2, 12] [1, 0, 2, 12] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 1, 11] [1, 2, 1, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 0, 10] [1, 4, 0, 10] ----------------- = ------------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [1, 1, 10, 3, 11] [1, 1, 3, 11] ----------------- = ------------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [1, 1, 10, 6, 10] [1, 1, 6, 10] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 11, 10, 4, 2] [1, 11, 4, 2] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 7, 10, 1, 8] [2, 7, 1, 8] ---------------- = ------------ [10, 10, 8] [10, 8] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 11, 10] [4, 1, 11, 2, 0] [4, 1, 2, 0] ---------------- = ------------ [10, 11, 10] [10, 10] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [11, 4, 0] [2, 4, 3, 6] [2, 3, 6] ------------ = --------- [11, 4, 0] [11, 0] [5, 4, 2, 4] [5, 2, 4] ------------ = --------- [11, 4, 0] [11, 0] [8, 4, 1, 2] [8, 1, 2] ------------ = --------- [11, 4, 0] [11, 0] denominator=, [11, 4, 2] [4, 4, 3, 6] [4, 3, 6] ------------ = --------- [11, 4, 2] [11, 2] [1, 4, 4, 0, 8] [1, 4, 0, 8] --------------- = ------------ [11, 4, 2] [11, 2] denominator=, [11, 7, 6] [1, 12, 7, 4, 0] [1, 12, 4, 0] ---------------- = ------------- [11, 7, 6] [11, 6] [2, 13, 7, 2, 0] [2, 13, 2, 0] ---------------- = ------------- [11, 7, 6] [11, 6] [4, 0, 7, 0, 0] [4, 0, 0, 0] --------------- = ------------ [11, 7, 6] [11, 6] denominator=, [11, 9, 6] [2, 2, 9, 0, 0] [2, 2, 0, 0] --------------- = ------------ [11, 9, 6] [11, 6] denominator=, [11, 9, 8] [3, 7, 9, 2, 7] [3, 7, 2, 7] --------------- = ------------ [11, 9, 8] [11, 8] denominator=, [11, 10, 8] [2, 0, 10, 4, 0] [2, 0, 4, 0] ---------------- = ------------ [11, 10, 8] [11, 8] [3, 3, 10, 0, 0] [3, 3, 0, 0] ---------------- = ------------ [11, 10, 8] [11, 8] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 12, 11] [3, 0, 12, 6, 0] [3, 0, 6, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [5, 3, 12, 1, 0] [5, 3, 1, 0] ---------------- = ------------ [11, 12, 11] [11, 11] denominator=, [11, 13, 0] [2, 13, 10, 7] [2, 10, 7] -------------- = ---------- [11, 13, 0] [11, 0] [8, 13, 3, 7] [8, 3, 7] ------------- = --------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 13, 4] [2, 13, 11, 7] [2, 11, 7] -------------- = ---------- [11, 13, 4] [11, 4] [8, 13, 6, 7] [8, 6, 7] ------------- = --------- [11, 13, 4] [11, 4] [1, 0, 13, 1, 7] [1, 0, 1, 7] ---------------- = ------------ [11, 13, 4] [11, 4] denominator=, [11, 13, 5] [1, 13, 12, 7] [1, 12, 7] -------------- = ---------- [11, 13, 5] [11, 5] [3, 13, 11, 0] [3, 11, 0] -------------- = ---------- [11, 13, 5] [11, 5] [7, 13, 8, 0] [7, 8, 0] ------------- = --------- [11, 13, 5] [11, 5] [9, 13, 6, 7] [9, 6, 7] ------------- = --------- [11, 13, 5] [11, 5] [13, 13, 3, 7] [13, 3, 7] -------------- = ---------- [11, 13, 5] [11, 5] [1, 1, 13, 2, 0] [1, 1, 2, 0] ---------------- = ------------ [11, 13, 5] [11, 5] denominator=, [11, 13, 6] [2, 13, 12, 0] [2, 12, 0] -------------- = ---------- [11, 13, 6] [11, 6] [8, 13, 8, 0] [8, 8, 0] ------------- = --------- [11, 13, 6] [11, 6] [1, 0, 13, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [11, 13, 6] [11, 6] [1, 6, 13, 0, 0] [1, 6, 0, 0] ---------------- = ------------ [11, 13, 6] [11, 6] denominator=, [11, 13, 8] [13, 13, 7] [13, 7] ----------- = ------- [11, 13, 8] [11, 8] [1, 13, 13, 0] [1, 13, 0] -------------- = ---------- [11, 13, 8] [11, 8] [2, 13, 12, 7] [2, 12, 7] -------------- = ---------- [11, 13, 8] [11, 8] [3, 13, 12, 0] [3, 12, 0] -------------- = ---------- [11, 13, 8] [11, 8] [4, 13, 11, 7] [4, 11, 7] -------------- = ---------- [11, 13, 8] [11, 8] [6, 13, 10, 7] [6, 10, 7] -------------- = ---------- [11, 13, 8] [11, 8] [7, 13, 10, 0] [7, 10, 0] -------------- = ---------- [11, 13, 8] [11, 8] [8, 13, 9, 7] [8, 9, 7] ------------- = --------- [11, 13, 8] [11, 8] [9, 13, 9, 0] [9, 9, 0] ------------- = --------- [11, 13, 8] [11, 8] [10, 13, 8, 7] [10, 8, 7] -------------- = ---------- [11, 13, 8] [11, 8] [12, 13, 7, 7] [12, 7, 7] -------------- = ---------- [11, 13, 8] [11, 8] [13, 13, 7, 0] [13, 7, 0] -------------- = ---------- [11, 13, 8] [11, 8] [1, 0, 13, 6, 7] [1, 0, 6, 7] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 1, 13, 6, 0] [1, 1, 6, 0] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 2, 13, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 4, 13, 4, 7] [1, 4, 4, 7] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 5, 13, 4, 0] [1, 5, 4, 0] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 6, 13, 3, 7] [1, 6, 3, 7] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 7, 13, 3, 0] [1, 7, 3, 0] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 8, 13, 2, 7] [1, 8, 2, 7] ---------------- = ------------ [11, 13, 8] [11, 8] [1, 10, 13, 1, 7] [1, 10, 1, 7] ----------------- = ------------- [11, 13, 8] [11, 8] [1, 11, 13, 1, 0] [1, 11, 1, 0] ----------------- = ------------- [11, 13, 8] [11, 8] [1, 12, 13, 0, 7] [1, 12, 0, 7] ----------------- = ------------- [11, 13, 8] [11, 8] [1, 13, 13, 0, 0] [1, 13, 0, 0] ----------------- = ------------- [11, 13, 8] [11, 8] denominator=, [11, 13, 10] [2, 13, 13, 0] [2, 13, 0] -------------- = ---------- [11, 13, 10] [11, 10] [8, 13, 11, 0] [8, 11, 0] -------------- = ---------- [11, 13, 10] [11, 10] [1, 0, 13, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [11, 13, 10] [11, 10] [1, 6, 13, 7, 0] [1, 6, 7, 0] ---------------- = ------------ [11, 13, 10] [11, 10] [1, 12, 13, 5, 0] [1, 12, 5, 0] ----------------- = ------------- [11, 13, 10] [11, 10] [2, 4, 13, 3, 0] [2, 4, 3, 0] ---------------- = ------------ [11, 13, 10] [11, 10] [2, 10, 13, 1, 0] [2, 10, 1, 0] ----------------- = ------------- [11, 13, 10] [11, 10] denominator=, [11, 13, 11] [1, 13, 13, 7] [1, 13, 7] -------------- = ---------- [11, 13, 11] [11, 11] [3, 13, 13, 0] [3, 13, 0] -------------- = ---------- [11, 13, 11] [11, 11] [7, 13, 12, 0] [7, 12, 0] -------------- = ---------- [11, 13, 11] [11, 11] [9, 13, 11, 7] [9, 11, 7] -------------- = ---------- [11, 13, 11] [11, 11] [13, 13, 10, 7] [13, 10, 7] --------------- = ----------- [11, 13, 11] [11, 11] [1, 1, 13, 10, 0] [1, 1, 10, 0] ----------------- = ------------- [11, 13, 11] [11, 11] [1, 5, 13, 9, 0] [1, 5, 9, 0] ---------------- = ------------ [11, 13, 11] [11, 11] [1, 7, 13, 8, 7] [1, 7, 8, 7] ---------------- = ------------ [11, 13, 11] [11, 11] [1, 11, 13, 7, 7] [1, 11, 7, 7] ----------------- = ------------- [11, 13, 11] [11, 11] [1, 13, 13, 7, 0] [1, 13, 7, 0] ----------------- = ------------- [11, 13, 11] [11, 11] [2, 3, 13, 6, 0] [2, 3, 6, 0] ---------------- = ------------ [11, 13, 11] [11, 11] [2, 5, 13, 5, 7] [2, 5, 5, 7] ---------------- = ------------ [11, 13, 11] [11, 11] [2, 9, 13, 4, 7] [2, 9, 4, 7] ---------------- = ------------ [11, 13, 11] [11, 11] [2, 11, 13, 4, 0] [2, 11, 4, 0] ----------------- = ------------- [11, 13, 11] [11, 11] [3, 1, 13, 3, 0] [3, 1, 3, 0] ---------------- = ------------ [11, 13, 11] [11, 11] [3, 3, 13, 2, 7] [3, 3, 2, 7] ---------------- = ------------ [11, 13, 11] [11, 11] [3, 7, 13, 1, 7] [3, 7, 1, 7] ---------------- = ------------ [11, 13, 11] [11, 11] [3, 9, 13, 1, 0] [3, 9, 1, 0] ---------------- = ------------ [11, 13, 11] [11, 11] [3, 13, 13, 0, 0] [3, 13, 0, 0] ----------------- = ------------- [11, 13, 11] [11, 11] denominator=, [11, 13, 12] [2, 13, 13, 7] [2, 13, 7] -------------- = ---------- [11, 13, 12] [11, 12] [8, 13, 12, 7] [8, 12, 7] -------------- = ---------- [11, 13, 12] [11, 12] [1, 0, 13, 11, 7] [1, 0, 11, 7] ----------------- = ------------- [11, 13, 12] [11, 12] [1, 6, 13, 10, 7] [1, 6, 10, 7] ----------------- = ------------- [11, 13, 12] [11, 12] [1, 12, 13, 9, 7] [1, 12, 9, 7] ----------------- = ------------- [11, 13, 12] [11, 12] [2, 4, 13, 8, 7] [2, 4, 8, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [2, 10, 13, 7, 7] [2, 10, 7, 7] ----------------- = ------------- [11, 13, 12] [11, 12] [3, 2, 13, 6, 7] [3, 2, 6, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [3, 8, 13, 5, 7] [3, 8, 5, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [4, 0, 13, 4, 7] [4, 0, 4, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [4, 6, 13, 3, 7] [4, 6, 3, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [4, 12, 13, 2, 7] [4, 12, 2, 7] ----------------- = ------------- [11, 13, 12] [11, 12] [5, 4, 13, 1, 7] [5, 4, 1, 7] ---------------- = ------------ [11, 13, 12] [11, 12] [5, 10, 13, 0, 7] [5, 10, 0, 7] ----------------- = ------------- [11, 13, 12] [11, 12] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 4, 0] [2, 4, 3, 7] [2, 3, 7] ------------ = --------- [12, 4, 0] [12, 0] denominator=, [12, 4, 2] [4, 4, 3, 7] [4, 3, 7] ------------ = --------- [12, 4, 2] [12, 2] [1, 6, 4, 0, 7] [1, 6, 0, 7] --------------- = ------------ [12, 4, 2] [12, 2] denominator=, [12, 4, 4] [2, 4, 4, 3, 7] [2, 4, 3, 7] --------------- = ------------ [12, 4, 4] [12, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [5, 2, 4, 2, 7] [5, 2, 2, 7] --------------- = ------------ [12, 4, 4] [12, 4] [8, 0, 4, 1, 7] [8, 0, 1, 7] --------------- = ------------ [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] [10, 12, 4, 0, 7] [10, 12, 0, 7] ----------------- = -------------- [12, 4, 4] [12, 4] denominator=, [12, 6, 3] [3, 6, 5, 7] [3, 5, 7] ------------ = --------- [12, 6, 3] [12, 3] [1, 7, 6, 0, 7] [1, 7, 0, 7] --------------- = ------------ [12, 6, 3] [12, 3] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] denominator=, [12, 9, 7] [3, 3, 9, 0, 0] [3, 3, 0, 0] --------------- = ------------ [12, 9, 7] [12, 7] denominator=, [12, 9, 8] [1, 13, 9, 6, 0] [1, 13, 6, 0] ---------------- = ------------- [12, 9, 8] [12, 8] [3, 0, 9, 4, 0] [3, 0, 4, 0] --------------- = ------------ [12, 9, 8] [12, 8] [4, 1, 9, 2, 0] [4, 1, 2, 0] --------------- = ------------ [12, 9, 8] [12, 8] [5, 2, 9, 0, 0] [5, 2, 0, 0] --------------- = ------------ [12, 9, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [1, 1, 12, 1, 13] [1, 1, 1, 13] ----------------- = ------------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [1, 0, 12, 4, 13] [1, 0, 4, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 3, 12] [1, 2, 3, 12] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 4, 12, 2, 11] [1, 4, 2, 11] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 1, 10] [1, 6, 1, 10] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 8, 12, 0, 9] [1, 8, 0, 9] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [1, 1, 12, 6, 12] [1, 1, 6, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 4, 12, 5, 10] [1, 4, 5, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 7, 12, 4, 8] [1, 7, 4, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 13, 12, 2, 4] [1, 13, 2, 4] ----------------- = ------------- [12, 12, 8] [12, 8] [2, 2, 12, 1, 2] [2, 2, 1, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [2, 5, 12, 0, 0] [2, 5, 0, 0] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [1, 2, 12, 7, 11] [1, 2, 7, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 6, 12, 6, 8] [1, 6, 6, 8] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 0, 12, 4, 2] [2, 0, 4, 2] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 4, 12, 2, 13] [2, 4, 2, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 12, 12, 0, 7] [2, 12, 0, 7] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [1, 4, 12, 8, 9] [1, 4, 8, 9] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 2, 12, 5, 13] [2, 2, 5, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 0, 12, 3, 3] [3, 0, 3, 3] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 12, 12, 0, 7] [3, 12, 0, 7] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [13, 5, 4] [3, 0, 5, 1, 0] [3, 0, 1, 0] --------------- = ------------ [13, 5, 4] [13, 4] denominator=, [13, 6, 3] [3, 6, 5, 8] [3, 5, 8] ------------ = --------- [13, 6, 3] [13, 3] [8, 6, 4, 4] [8, 4, 4] ------------ = --------- [13, 6, 3] [13, 3] [1, 4, 6, 1, 10] [1, 4, 1, 10] ---------------- = ------------- [13, 6, 3] [13, 3] [1, 9, 6, 0, 6] [1, 9, 0, 6] --------------- = ------------ [13, 6, 3] [13, 3] denominator=, [13, 7, 2] [2, 7, 6, 7] [2, 6, 7] ------------ = --------- [13, 7, 2] [13, 2] denominator=, [13, 7, 5] [5, 7, 6, 7] [5, 6, 7] ------------ = --------- [13, 7, 5] [13, 5] [1, 7, 7, 3, 7] [1, 7, 3, 7] --------------- = ------------ [13, 7, 5] [13, 5] [2, 1, 7, 2, 0] [2, 1, 2, 0] --------------- = ------------ [13, 7, 5] [13, 5] [2, 9, 7, 0, 7] [2, 9, 0, 7] --------------- = ------------ [13, 7, 5] [13, 5] denominator=, [13, 7, 6] [2, 7, 7, 3, 7] [2, 7, 3, 7] --------------- = ------------ [13, 7, 6] [13, 6] [4, 1, 7, 1, 0] [4, 1, 1, 0] --------------- = ------------ [13, 7, 6] [13, 6] denominator=, [13, 8, 7] [5, 2, 8, 0, 0] [5, 2, 0, 0] --------------- = ------------ [13, 8, 7] [13, 7] denominator=, [13, 11, 7] [3, 11, 10, 7] [3, 10, 7] -------------- = ---------- [13, 11, 7] [13, 7] [1, 9, 11, 3, 7] [1, 9, 3, 7] ---------------- = ------------ [13, 11, 7] [13, 7] [2, 5, 11, 0, 0] [2, 5, 0, 0] ---------------- = ------------ [13, 11, 7] [13, 7] denominator=, [13, 11, 8] [4, 11, 10, 7] [4, 10, 7] -------------- = ---------- [13, 11, 8] [13, 8] [1, 8, 11, 5, 7] [1, 8, 5, 7] ---------------- = ------------ [13, 11, 8] [13, 8] [2, 3, 11, 3, 0] [2, 3, 3, 0] ---------------- = ------------ [13, 11, 8] [13, 8] [2, 12, 11, 0, 7] [2, 12, 0, 7] ----------------- = ------------- [13, 11, 8] [13, 8] denominator=, [13, 11, 10] [2, 0, 11, 8, 0] [2, 0, 8, 0] ---------------- = ------------ [13, 11, 10] [13, 10] [3, 1, 11, 6, 0] [3, 1, 6, 0] ---------------- = ------------ [13, 11, 10] [13, 10] [4, 2, 11, 4, 0] [4, 2, 4, 0] ---------------- = ------------ [13, 11, 10] [13, 10] [5, 3, 11, 2, 0] [5, 3, 2, 0] ---------------- = ------------ [13, 11, 10] [13, 10] [6, 4, 11, 0, 0] [6, 4, 0, 0] ---------------- = ------------ [13, 11, 10] [13, 10] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 8, 8] [3, 10] [3] ---------- = ------ [10, 8, 8] [8, 8] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 7] [2, 2, 10] [2, 2] ----------- = ------- [10, 10, 7] [10, 7] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 10, 7] [4, 12] [4] ----------- = ------- [12, 10, 7] [10, 7] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 8] [2, 5, 12] [2, 5] ----------- = ------- [12, 12, 8] [12, 8] denominator=, [13, 7, 0] [1, 13] [1] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 10, 7] [3, 13] [3] ----------- = ------- [13, 10, 7] [10, 7] denominator=, [13, 12, 0] [6, 13] [6] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 13, 7] [1, 13, 13] [1, 13] ----------- = ------- [13, 13, 7] [13, 7] denominator=, [13, 13, 10] [3, 6, 13] [3, 6] ------------ = -------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [6, 13, 13] [6, 13] ------------ = -------- [13, 13, 12] [13, 12] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 13, 0] [5, 13] [13] ---------- = ------- [5, 13, 0] [13, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 5, 10] [1, 8, 1] [1, 1] ---------- = ------- [8, 5, 10] [5, 10] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 6, 12] [1, 8, 4] [1, 4] ---------- = ------- [8, 6, 12] [6, 12] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 7] [1, 10, 8, 4] [1, 10, 4] ------------- = ---------- [8, 8, 7] [8, 7] [2, 12, 8, 1] [2, 12, 1] ------------- = ---------- [8, 8, 7] [8, 7] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 7, 10] [2, 9, 2] [2, 2] ---------- = ------- [9, 7, 10] [7, 10] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 7] [1, 13, 9, 2] [1, 13, 2] ------------- = ---------- [9, 9, 7] [9, 7] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 8] [3, 10, 0] [3, 0] ---------- = ------ [10, 8, 8] [8, 8] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 7] [2, 2, 10, 0] [2, 2, 0] ------------- = --------- [10, 10, 7] [10, 7] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 13, 0] [10, 13] [13] ----------- = ------- [10, 13, 0] [13, 0] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 10, 7] [4, 12, 0] [4, 0] ----------- = ------- [12, 10, 7] [10, 7] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 12, 8] [2, 5, 12, 0] [2, 5, 0] ------------- = --------- [12, 12, 8] [12, 8] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] [1, 13, 0] [1, 0] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 7, 7] [1, 13, 1] [1, 1] ---------- = ------ [13, 7, 7] [7, 7] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] [1, 13, 2] [1, 2] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 8, 7] [1, 13, 3] [1, 3] ---------- = ------ [13, 8, 7] [8, 7] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] [1, 13, 4] [1, 4] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 9, 7] [1, 13, 5] [1, 5] ---------- = ------ [13, 9, 7] [9, 7] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] [1, 13, 6] [1, 6] ----------- = ------- [13, 10, 0] [10, 0] [2, 13, 2] [2, 2] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 10, 7] [1, 13, 7] [1, 7] ----------- = ------- [13, 10, 7] [10, 7] [3, 13, 0] [3, 0] ----------- = ------- [13, 10, 7] [10, 7] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] [1, 13, 8] [1, 8] ----------- = ------- [13, 11, 0] [11, 0] [2, 13, 5] [2, 5] ----------- = ------- [13, 11, 0] [11, 0] [3, 13, 2] [3, 2] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 11, 7] [1, 13, 9] [1, 9] ----------- = ------- [13, 11, 7] [11, 7] [3, 13, 4] [3, 4] ----------- = ------- [13, 11, 7] [11, 7] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] [1, 13, 10] [1, 10] ----------- = ------- [13, 12, 0] [12, 0] [2, 13, 8] [2, 8] ----------- = ------- [13, 12, 0] [12, 0] [3, 13, 6] [3, 6] ----------- = ------- [13, 12, 0] [12, 0] [4, 13, 4] [4, 4] ----------- = ------- [13, 12, 0] [12, 0] [5, 13, 2] [5, 2] ----------- = ------- [13, 12, 0] [12, 0] [6, 13, 0] [6, 0] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 12, 2] [6, 13, 1] [6, 1] ----------- = ------- [13, 12, 2] [12, 2] denominator=, [13, 12, 4] [6, 13, 2] [6, 2] ----------- = ------- [13, 12, 4] [12, 4] denominator=, [13, 12, 6] [6, 13, 3] [6, 3] ----------- = ------- [13, 12, 6] [12, 6] denominator=, [13, 12, 7] [1, 13, 11] [1, 11] ----------- = ------- [13, 12, 7] [12, 7] [3, 13, 8] [3, 8] ----------- = ------- [13, 12, 7] [12, 7] [5, 13, 5] [5, 5] ----------- = ------- [13, 12, 7] [12, 7] [7, 13, 2] [7, 2] ----------- = ------- [13, 12, 7] [12, 7] denominator=, [13, 12, 8] [6, 13, 4] [6, 4] ----------- = ------- [13, 12, 8] [12, 8] denominator=, [13, 12, 10] [6, 13, 5] [6, 5] ------------ = -------- [13, 12, 10] [12, 10] denominator=, [13, 12, 12] [6, 13, 6] [6, 6] ------------ = -------- [13, 12, 12] [12, 12] denominator=, [13, 13, 2] [6, 13, 8] [6, 8] ----------- = ------- [13, 13, 2] [13, 2] denominator=, [13, 13, 4] [6, 13, 9] [6, 9] ----------- = ------- [13, 13, 4] [13, 4] denominator=, [13, 13, 6] [6, 13, 10] [6, 10] ----------- = ------- [13, 13, 6] [13, 6] [1, 6, 13, 2] [1, 6, 2] ------------- = --------- [13, 13, 6] [13, 6] denominator=, [13, 13, 7] [1, 13, 13] [1, 13] ----------- = ------- [13, 13, 7] [13, 7] [3, 13, 12] [3, 12] ----------- = ------- [13, 13, 7] [13, 7] [5, 13, 11] [5, 11] ----------- = ------- [13, 13, 7] [13, 7] [7, 13, 10] [7, 10] ----------- = ------- [13, 13, 7] [13, 7] [9, 13, 9] [9, 9] ----------- = ------- [13, 13, 7] [13, 7] [11, 13, 8] [11, 8] ----------- = ------- [13, 13, 7] [13, 7] [1, 1, 13, 6] [1, 1, 6] ------------- = --------- [13, 13, 7] [13, 7] [1, 3, 13, 5] [1, 3, 5] ------------- = --------- [13, 13, 7] [13, 7] [1, 5, 13, 4] [1, 5, 4] ------------- = --------- [13, 13, 7] [13, 7] [1, 7, 13, 3] [1, 7, 3] ------------- = --------- [13, 13, 7] [13, 7] [1, 9, 13, 2] [1, 9, 2] ------------- = --------- [13, 13, 7] [13, 7] [1, 11, 13, 1] [1, 11, 1] -------------- = ---------- [13, 13, 7] [13, 7] denominator=, [13, 13, 8] [6, 13, 11] [6, 11] ----------- = ------- [13, 13, 8] [13, 8] [1, 6, 13, 5] [1, 6, 5] ------------- = --------- [13, 13, 8] [13, 8] denominator=, [13, 13, 10] [6, 13, 12] [6, 12] ------------ = -------- [13, 13, 10] [13, 10] [1, 6, 13, 8] [1, 6, 8] ------------- = --------- [13, 13, 10] [13, 10] [2, 6, 13, 4] [2, 6, 4] ------------- = --------- [13, 13, 10] [13, 10] [3, 6, 13, 0] [3, 6, 0] ------------- = --------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [6, 13, 13] [6, 13] ------------ = -------- [13, 13, 12] [13, 12] [1, 6, 13, 11] [1, 6, 11] -------------- = ---------- [13, 13, 12] [13, 12] [2, 6, 13, 9] [2, 6, 9] ------------- = --------- [13, 13, 12] [13, 12] [3, 6, 13, 7] [3, 6, 7] ------------- = --------- [13, 13, 12] [13, 12] [4, 6, 13, 5] [4, 6, 5] ------------- = --------- [13, 13, 12] [13, 12] [5, 6, 13, 3] [5, 6, 3] ------------- = --------- [13, 13, 12] [13, 12] [6, 6, 13, 1] [6, 6, 1] ------------- = --------- [13, 13, 12] [13, 12] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 14, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 11] [1, 3, 0, 12] [1, 0, 12] ------------- = ---------- [3, 2, 11] [2, 11] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 6] [1, 4, 0, 8] [1, 0, 8] ------------ = --------- [4, 3, 6] [3, 6] denominator=, [4, 3, 10] [1, 4, 1, 11] [1, 1, 11] ------------- = ---------- [4, 3, 10] [3, 10] denominator=, [4, 3, 12] [2, 4, 0, 13] [2, 0, 13] ------------- = ---------- [4, 3, 12] [3, 12] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 13] [6, 0, 13] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [5, 3, 13] [1, 5, 0, 2] [1, 0, 2] ------------ = --------- [5, 3, 13] [3, 13] denominator=, [5, 4, 4] [1, 5, 1, 6] [1, 1, 6] ------------ = --------- [5, 4, 4] [4, 4] denominator=, [5, 4, 9] [1, 5, 2, 10] [1, 2, 10] ------------- = ---------- [5, 4, 9] [4, 9] [2, 5, 0, 11] [2, 0, 11] ------------- = ---------- [5, 4, 9] [4, 9] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 10] [1, 6, 0, 13] [1, 0, 13] ------------- = ---------- [6, 4, 10] [4, 10] denominator=, [6, 5, 2] [1, 6, 2, 4] [1, 2, 4] ------------ = --------- [6, 5, 2] [5, 2] denominator=, [6, 5, 5] [2, 6, 0, 8] [2, 0, 8] ------------ = --------- [6, 5, 5] [5, 5] denominator=, [6, 5, 8] [1, 6, 3, 9] [1, 3, 9] ------------ = --------- [6, 5, 8] [5, 8] [2, 6, 1, 10] [2, 1, 10] ------------- = ---------- [6, 5, 8] [5, 8] denominator=, [6, 5, 10] [3, 6, 0, 12] [3, 0, 12] ------------- = ---------- [6, 5, 10] [5, 10] denominator=, [6, 5, 11] [2, 6, 2, 12] [2, 2, 12] ------------- = ---------- [6, 5, 11] [5, 11] denominator=, [6, 5, 12] [3, 6, 1, 13] [3, 1, 13] ------------- = ---------- [6, 5, 12] [5, 12] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 13] [8, 1, 13] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 12] [10, 0, 12] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 12] [9, 2, 12] ------------- = ---------- [6, 6, 4] [6, 4] [1, 1, 6, 0, 8] [1, 1, 0, 8] --------------- = ------------ [6, 6, 4] [6, 4] denominator=, [7, 5, 0] [1, 7, 0, 4] [1, 0, 4] ------------ = --------- [7, 5, 0] [5, 0] denominator=, [7, 5, 7] [1, 7, 1, 10] [1, 1, 10] ------------- = ---------- [7, 5, 7] [5, 7] denominator=, [7, 6, 0] [1, 7, 3, 2] [1, 3, 2] ------------ = --------- [7, 6, 0] [6, 0] [2, 7, 0, 4] [2, 0, 4] ------------ = --------- [7, 6, 0] [6, 0] denominator=, [7, 6, 7] [1, 7, 4, 8] [1, 4, 8] ------------ = --------- [7, 6, 7] [6, 7] [2, 7, 2, 9] [2, 2, 9] ------------ = --------- [7, 6, 7] [6, 7] [3, 7, 0, 10] [3, 0, 10] ------------- = ---------- [7, 6, 7] [6, 7] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 10] [1, 8, 1, 0] [1, 1, 0] ------------ = --------- [8, 5, 10] [5, 10] denominator=, [8, 6, 4] [1, 8, 2, 7] [1, 2, 7] ------------ = --------- [8, 6, 4] [6, 4] denominator=, [8, 6, 12] [1, 8, 4, 0] [1, 4, 0] ------------ = --------- [8, 6, 12] [6, 12] [2, 8, 1, 2] [2, 1, 2] ------------ = --------- [8, 6, 12] [6, 12] denominator=, [8, 7, 2] [2, 8, 2, 5] [2, 2, 5] ------------ = --------- [8, 7, 2] [7, 2] denominator=, [8, 7, 6] [1, 8, 5, 7] [1, 5, 7] ------------ = --------- [8, 7, 6] [7, 6] [2, 8, 3, 8] [2, 3, 8] ------------ = --------- [8, 7, 6] [7, 6] [3, 8, 1, 9] [3, 1, 9] ------------ = --------- [8, 7, 6] [7, 6] denominator=, [8, 7, 8] [4, 8, 0, 11] [4, 0, 11] ------------- = ---------- [8, 7, 8] [7, 8] denominator=, [8, 7, 10] [2, 8, 4, 11] [2, 4, 11] ------------- = ---------- [8, 7, 10] [7, 10] [4, 8, 1, 12] [4, 1, 12] ------------- = ---------- [8, 7, 10] [7, 10] denominator=, [8, 7, 12] [4, 8, 2, 13] [4, 2, 13] ------------- = ---------- [8, 7, 12] [7, 12] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 13] [10, 2, 13] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 12] [12, 1, 12] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 0, 11] [1, 0, 0, 11] ---------------- = ------------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 11] [12, 4, 11] -------------- = ----------- [8, 8, 6] [8, 6] [1, 6, 8, 2, 5] [1, 6, 2, 5] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [9, 5, 11] [1, 9, 0, 2] [1, 0, 2] ------------ = --------- [9, 5, 11] [5, 11] denominator=, [9, 6, 6] [1, 9, 1, 10] [1, 1, 10] ------------- = ---------- [9, 6, 6] [6, 6] denominator=, [9, 7, 1] [1, 9, 3, 4] [1, 3, 4] ------------ = --------- [9, 7, 1] [7, 1] denominator=, [9, 7, 10] [1, 9, 4, 12] [1, 4, 12] ------------- = ---------- [9, 7, 10] [7, 10] [2, 9, 2, 0] [2, 2, 0] ------------ = --------- [9, 7, 10] [7, 10] denominator=, [9, 7, 13] [3, 9, 0, 4] [3, 0, 4] ------------ = --------- [9, 7, 13] [7, 13] denominator=, [9, 8, 2] [3, 9, 1, 6] [3, 1, 6] ------------ = --------- [9, 8, 2] [8, 2] denominator=, [9, 8, 5] [1, 9, 6, 6] [1, 6, 6] ------------ = --------- [9, 8, 5] [8, 5] [2, 9, 4, 7] [2, 4, 7] ------------ = --------- [9, 8, 5] [8, 5] [3, 9, 2, 8] [3, 2, 8] ------------ = --------- [9, 8, 5] [8, 5] [4, 9, 0, 9] [4, 0, 9] ------------ = --------- [9, 8, 5] [8, 5] denominator=, [9, 8, 8] [3, 9, 3, 10] [3, 3, 10] ------------- = ---------- [9, 8, 8] [8, 8] denominator=, [9, 8, 11] [3, 9, 4, 12] [3, 4, 12] ------------- = ---------- [9, 8, 11] [8, 11] [6, 9, 0, 13] [6, 0, 13] ------------- = ---------- [9, 8, 11] [8, 11] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 13] [12, 0, 13] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 12] [12, 4, 12] -------------- = ----------- [9, 9, 6] [9, 6] [1, 1, 9, 3, 10] [1, 1, 3, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 7, 9, 1, 6] [1, 7, 1, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 10, 9, 0, 4] [1, 10, 0, 4] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [10, 6, 6] [1, 10, 0, 11] [1, 0, 11] -------------- = ---------- [10, 6, 6] [6, 6] denominator=, [10, 7, 2] [1, 10, 2, 6] [1, 2, 6] ------------- = --------- [10, 7, 2] [7, 2] denominator=, [10, 7, 12] [1, 10, 4, 1] [1, 4, 1] ------------- = --------- [10, 7, 12] [7, 12] [2, 10, 0, 4] [2, 0, 4] ------------- = --------- [10, 7, 12] [7, 12] denominator=, [10, 8, 3] [2, 10, 1, 8] [2, 1, 8] ------------- = --------- [10, 8, 3] [8, 3] denominator=, [10, 8, 8] [1, 10, 5, 10] [1, 5, 10] -------------- = ---------- [10, 8, 8] [8, 8] [2, 10, 2, 12] [2, 2, 12] -------------- = ---------- [10, 8, 8] [8, 8] [3, 10, 0, 0] [3, 0, 0] ------------- = --------- [10, 8, 8] [8, 8] denominator=, [10, 8, 13] [2, 10, 4, 2] [2, 4, 2] ------------- = --------- [10, 8, 13] [8, 13] denominator=, [10, 9, 4] [1, 10, 7, 5] [1, 7, 5] ------------- = --------- [10, 9, 4] [9, 4] [2, 10, 5, 6] [2, 5, 6] ------------- = --------- [10, 9, 4] [9, 4] [3, 10, 3, 7] [3, 3, 7] ------------- = --------- [10, 9, 4] [9, 4] [4, 10, 1, 8] [4, 1, 8] ------------- = --------- [10, 9, 4] [9, 4] denominator=, [10, 9, 6] [5, 10, 0, 10] [5, 0, 10] -------------- = ---------- [10, 9, 6] [9, 6] denominator=, [10, 9, 8] [5, 10, 1, 11] [5, 1, 11] -------------- = ---------- [10, 9, 8] [9, 8] denominator=, [10, 9, 9] [2, 10, 6, 10] [2, 6, 10] -------------- = ---------- [10, 9, 9] [9, 9] [4, 10, 3, 11] [4, 3, 11] -------------- = ---------- [10, 9, 9] [9, 9] [6, 10, 0, 12] [6, 0, 12] -------------- = ---------- [10, 9, 9] [9, 9] denominator=, [10, 9, 10] [5, 10, 2, 12] [5, 2, 12] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 9, 12] [5, 10, 3, 13] [5, 3, 13] -------------- = ---------- [10, 9, 12] [9, 12] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [1, 1, 10, 0, 12] [1, 1, 0, 12] ----------------- = ------------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 13] [12, 3, 13] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 2, 12] [1, 0, 2, 12] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 1, 11] [1, 2, 1, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 0, 10] [1, 4, 0, 10] ----------------- = ------------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [1, 1, 10, 3, 11] [1, 1, 3, 11] ----------------- = ------------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [1, 1, 10, 6, 10] [1, 1, 6, 10] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 11, 10, 4, 2] [1, 11, 4, 2] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 7, 10, 1, 8] [2, 7, 1, 8] ---------------- = ------------ [10, 10, 8] [10, 8] denominator=, [11, 7, 1] [1, 11, 1, 6] [1, 1, 6] ------------- = --------- [11, 7, 1] [7, 1] denominator=, [11, 7, 12] [1, 11, 3, 2] [1, 3, 2] ------------- = --------- [11, 7, 12] [7, 12] denominator=, [11, 8, 9] [1, 11, 4, 12] [1, 4, 12] -------------- = ---------- [11, 8, 9] [8, 9] [2, 11, 1, 1] [2, 1, 1] ------------- = --------- [11, 8, 9] [8, 9] denominator=, [11, 9, 6] [1, 11, 6, 8] [1, 6, 8] ------------- = --------- [11, 9, 6] [9, 6] [2, 11, 3, 10] [2, 3, 10] -------------- = ---------- [11, 9, 6] [9, 6] [3, 11, 0, 12] [3, 0, 12] -------------- = ---------- [11, 9, 6] [9, 6] denominator=, [11, 10, 3] [1, 11, 8, 4] [1, 8, 4] ------------- = --------- [11, 10, 3] [10, 3] [2, 11, 6, 5] [2, 6, 5] ------------- = --------- [11, 10, 3] [10, 3] [3, 11, 4, 6] [3, 4, 6] ------------- = --------- [11, 10, 3] [10, 3] [4, 11, 2, 7] [4, 2, 7] ------------- = --------- [11, 10, 3] [10, 3] [5, 11, 0, 8] [5, 0, 8] ------------- = --------- [11, 10, 3] [10, 3] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 6, 12] [1, 12, 0, 4] [1, 0, 4] ------------- = --------- [12, 6, 12] [6, 12] denominator=, [12, 7, 10] [1, 12, 2, 1] [1, 2, 1] ------------- = --------- [12, 7, 10] [7, 10] denominator=, [12, 8, 8] [1, 12, 3, 12] [1, 3, 12] -------------- = ---------- [12, 8, 8] [8, 8] denominator=, [12, 9, 0] [2, 12, 0, 7] [2, 0, 7] ------------- = --------- [12, 9, 0] [9, 0] denominator=, [12, 9, 6] [1, 12, 5, 9] [1, 5, 9] ------------- = --------- [12, 9, 6] [9, 6] [2, 12, 1, 12] [2, 1, 12] -------------- = ---------- [12, 9, 6] [9, 6] denominator=, [12, 9, 12] [2, 12, 3, 3] [2, 3, 3] ------------- = --------- [12, 9, 12] [9, 12] denominator=, [12, 10, 0] [3, 12, 0, 7] [3, 0, 7] ------------- = --------- [12, 10, 0] [10, 0] denominator=, [12, 10, 4] [1, 12, 7, 6] [1, 7, 6] ------------- = --------- [12, 10, 4] [10, 4] [2, 12, 4, 8] [2, 4, 8] ------------- = --------- [12, 10, 4] [10, 4] [3, 12, 1, 10] [3, 1, 10] -------------- = ---------- [12, 10, 4] [10, 4] denominator=, [12, 10, 7] [4, 12, 0, 0] [4, 0, 0] ------------- = --------- [12, 10, 7] [10, 7] denominator=, [12, 10, 8] [3, 12, 2, 13] [3, 2, 13] -------------- = ---------- [12, 10, 8] [10, 8] denominator=, [12, 10, 10] [2, 12, 5, 13] [2, 5, 13] -------------- = ---------- [12, 10, 10] [10, 10] [4, 12, 1, 2] [4, 1, 2] ------------- = --------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [3, 12, 4, 2] [3, 4, 2] ------------- = --------- [12, 10, 12] [10, 12] denominator=, [12, 10, 13] [4, 12, 2, 4] [4, 2, 4] ------------- = --------- [12, 10, 13] [10, 13] denominator=, [12, 11, 2] [1, 12, 9, 3] [1, 9, 3] ------------- = --------- [12, 11, 2] [11, 2] [2, 12, 7, 4] [2, 7, 4] ------------- = --------- [12, 11, 2] [11, 2] [3, 12, 5, 5] [3, 5, 5] ------------- = --------- [12, 11, 2] [11, 2] [4, 12, 3, 6] [4, 3, 6] ------------- = --------- [12, 11, 2] [11, 2] [5, 12, 1, 7] [5, 1, 7] ------------- = --------- [12, 11, 2] [11, 2] denominator=, [12, 11, 4] [6, 12, 0, 9] [6, 0, 9] ------------- = --------- [12, 11, 4] [11, 4] denominator=, [12, 11, 5] [4, 12, 4, 8] [4, 4, 8] ------------- = --------- [12, 11, 5] [11, 5] denominator=, [12, 11, 6] [3, 12, 6, 8] [3, 6, 8] ------------- = --------- [12, 11, 6] [11, 6] [6, 12, 1, 10] [6, 1, 10] -------------- = ---------- [12, 11, 6] [11, 6] denominator=, [12, 11, 8] [2, 12, 8, 9] [2, 8, 9] ------------- = --------- [12, 11, 8] [11, 8] [4, 12, 5, 10] [4, 5, 10] -------------- = ---------- [12, 11, 8] [11, 8] [6, 12, 2, 11] [6, 2, 11] -------------- = ---------- [12, 11, 8] [11, 8] denominator=, [12, 11, 10] [3, 12, 7, 11] [3, 7, 11] -------------- = ---------- [12, 11, 10] [11, 10] [6, 12, 3, 12] [6, 3, 12] -------------- = ---------- [12, 11, 10] [11, 10] denominator=, [12, 11, 11] [4, 12, 6, 12] [4, 6, 12] -------------- = ---------- [12, 11, 11] [11, 11] [8, 12, 1, 13] [8, 1, 13] -------------- = ---------- [12, 11, 11] [11, 11] denominator=, [12, 11, 12] [6, 12, 4, 13] [6, 4, 13] -------------- = ---------- [12, 11, 12] [11, 12] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [1, 1, 12, 1, 13] [1, 1, 1, 13] ----------------- = ------------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [1, 0, 12, 4, 13] [1, 0, 4, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 3, 12] [1, 2, 3, 12] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 4, 12, 2, 11] [1, 4, 2, 11] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 1, 10] [1, 6, 1, 10] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 8, 12, 0, 9] [1, 8, 0, 9] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [1, 1, 12, 6, 12] [1, 1, 6, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 4, 12, 5, 10] [1, 4, 5, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 7, 12, 4, 8] [1, 7, 4, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 13, 12, 2, 4] [1, 13, 2, 4] ----------------- = ------------- [12, 12, 8] [12, 8] [2, 2, 12, 1, 2] [2, 2, 1, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [2, 5, 12, 0, 0] [2, 5, 0, 0] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [1, 2, 12, 7, 11] [1, 2, 7, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 6, 12, 6, 8] [1, 6, 6, 8] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 0, 12, 4, 2] [2, 0, 4, 2] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 4, 12, 2, 13] [2, 4, 2, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 12, 12, 0, 7] [2, 12, 0, 7] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [1, 4, 12, 8, 9] [1, 4, 8, 9] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 2, 12, 5, 13] [2, 2, 5, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 0, 12, 3, 3] [3, 0, 3, 3] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 12, 12, 0, 7] [3, 12, 0, 7] ----------------- = ------------- [12, 12, 10] [12, 10] ------------------------------------------------------------------------- This ends this book that took, 105.402, seconds to generate. ---------------------------------------------- Base , 15 Lots and Lots of Anomalous Cancellations in base, 15 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 15, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 15, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 12] [12, 9] [9] ------- = --- [2, 12] [2] denominator=, [3, 12] [12, 10] [10] -------- = ---- [3, 12] [3] denominator=, [14, 4] [4, 4, 3] [4, 3] --------- = ------ [14, 4] [14] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 15, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [7, 5] [1, 7] [1] ------ = --- [7, 5] [5] denominator=, [7, 6] [2, 7] [2] ------ = --- [7, 6] [6] denominator=, [12, 9] [2, 12] [2] ------- = --- [12, 9] [9] denominator=, [12, 10] [3, 12] [3] -------- = ---- [12, 10] [10] denominator=, [14, 10] [2, 14] [2] -------- = ---- [14, 10] [10] denominator=, [14, 12] [4, 14] [4] -------- = ---- [14, 12] [12] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 15, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [12, 9] [2, 12, 0] [2, 0] ---------- = ------ [12, 9] [9] denominator=, [12, 10] [3, 12, 0] [3, 0] ---------- = ------ [12, 10] [10] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 6] [3, 6, 5] [3, 5] --------- = ------ [1, 0, 6] [1, 0] denominator=, [1, 3, 8] [5, 8, 6] [5, 6] --------- = ------ [1, 3, 8] [1, 3] denominator=, [1, 5, 8] [8, 8, 5] [8, 5] --------- = ------ [1, 5, 8] [1, 5] denominator=, [1, 6, 12] [4, 12, 10] [4, 10] ----------- = ------- [1, 6, 12] [1, 6] denominator=, [1, 7, 12] [6, 12, 9] [6, 9] ---------- = ------ [1, 7, 12] [1, 7] denominator=, [1, 9, 4] [7, 4, 3] [7, 3] --------- = ------ [1, 9, 4] [1, 9] denominator=, [1, 9, 6] [5, 6, 5] [5, 5] --------- = ------ [1, 9, 6] [1, 9] denominator=, [1, 13, 8] [8, 8, 6] [8, 6] ---------- = ------- [1, 13, 8] [1, 13] [1, 3, 8, 3] [1, 3, 3] ------------ = --------- [1, 13, 8] [1, 13] denominator=, [2, 0, 5] [13, 5, 3] [13, 3] ---------- = ------- [2, 0, 5] [2, 0] denominator=, [2, 0, 12] [6, 12, 10] [6, 10] ----------- = ------- [2, 0, 12] [2, 0] [1, 3, 12, 5] [1, 3, 5] ------------- = --------- [2, 0, 12] [2, 0] denominator=, [2, 2, 8] [13, 8, 5] [13, 5] ---------- = ------- [2, 2, 8] [2, 2] denominator=, [2, 2, 12] [9, 12, 9] [9, 9] ---------- = ------ [2, 2, 12] [2, 2] denominator=, [2, 3, 6] [7, 6, 5] [7, 5] --------- = ------ [2, 3, 6] [2, 3] denominator=, [2, 4, 4] [10, 4, 3] [10, 3] ---------- = ------- [2, 4, 4] [2, 4] [1, 11, 4, 1] [1, 11, 1] ------------- = ---------- [2, 4, 4] [2, 4] denominator=, [2, 5, 10] [5, 10, 9] [5, 9] ---------- = ------ [2, 5, 10] [2, 5] [1, 0, 10, 6] [1, 0, 6] ------------- = --------- [2, 5, 10] [2, 5] [1, 10, 10, 3] [1, 10, 3] -------------- = ---------- [2, 5, 10] [2, 5] denominator=, [2, 6, 9] [1, 2, 9, 5] [1, 2, 5] ------------ = --------- [2, 6, 9] [2, 6] denominator=, [2, 8, 8] [11, 8, 6] [11, 6] ---------- = ------- [2, 8, 8] [2, 8] [1, 14, 8, 2] [1, 14, 2] ------------- = ---------- [2, 8, 8] [2, 8] denominator=, [2, 9, 12] [8, 12, 10] [8, 10] ----------- = ------- [2, 9, 12] [2, 9] denominator=, [2, 12, 6] [9, 6, 5] [9, 5] ---------- = ------- [2, 12, 6] [2, 12] denominator=, [2, 12, 12] [12, 12, 9] [12, 9] ----------- = ------- [2, 12, 12] [2, 12] [2, 2, 12, 3] [2, 2, 3] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 4] [13, 4, 3] [13, 3] ---------- = ------- [2, 14, 4] [2, 14] denominator=, [2, 14, 8] [1, 3, 8, 5] [1, 3, 5] ------------ = --------- [2, 14, 8] [2, 14] denominator=, [2, 14, 11] [6, 11, 10] [6, 10] ----------- = ------- [2, 14, 11] [2, 14] [1, 10, 11, 5] [1, 10, 5] -------------- = ---------- [2, 14, 11] [2, 14] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 3, 8] [14, 8, 6] [14, 6] ---------- = ------- [3, 3, 8] [3, 3] [2, 1, 8, 3] [2, 1, 3] ------------ = --------- [3, 3, 8] [3, 3] denominator=, [3, 3, 12] [10, 12, 10] [10, 10] ------------ = -------- [3, 3, 12] [3, 3] [1, 14, 12, 5] [1, 14, 5] -------------- = ---------- [3, 3, 12] [3, 3] denominator=, [3, 6, 6] [11, 6, 5] [11, 5] ---------- = ------- [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [2, 13, 6, 1] [2, 13, 1] ------------- = ---------- [3, 6, 6] [3, 6] denominator=, [3, 7, 12] [1, 0, 12, 9] [1, 0, 9] ------------- = --------- [3, 7, 12] [3, 7] denominator=, [3, 7, 13] [14, 13, 10] [14, 10] ------------ = -------- [3, 7, 13] [3, 7] [2, 3, 13, 5] [2, 3, 5] ------------- = --------- [3, 7, 13] [3, 7] denominator=, [3, 9, 4] [1, 1, 4, 3] [1, 1, 3] ------------ = --------- [3, 9, 4] [3, 9] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 10, 5] [1, 9, 5, 3] [1, 9, 3] ------------ = --------- [3, 10, 5] [3, 10] denominator=, [3, 11, 8] [1, 8, 8, 5] [1, 8, 5] ------------ = --------- [3, 11, 8] [3, 11] denominator=, [3, 12, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 12, 12] [3, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] [3, 3, 12, 2] [3, 3, 2] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 13, 8] [1, 2, 8, 6] [1, 2, 6] ------------ = --------- [3, 13, 8] [3, 13] denominator=, [4, 0, 6] [13, 6, 5] [13, 5] ---------- = ------- [4, 0, 6] [4, 0] denominator=, [4, 0, 10] [9, 10, 9] [9, 9] ---------- = ------ [4, 0, 10] [4, 0] [1, 11, 10, 6] [1, 11, 6] -------------- = ---------- [4, 0, 10] [4, 0] [2, 13, 10, 3] [2, 13, 3] -------------- = ---------- [4, 0, 10] [4, 0] denominator=, [4, 2, 12] [1, 3, 12, 9] [1, 3, 9] ------------- = --------- [4, 2, 12] [4, 2] denominator=, [4, 3, 9] [2, 0, 9, 5] [2, 0, 5] ------------ = --------- [4, 3, 9] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 11] [1, 0, 11, 9] [1, 0, 9] ------------- = --------- [4, 6, 11] [4, 6] [2, 2, 11, 6] [2, 2, 6] ------------- = --------- [4, 6, 11] [4, 6] [3, 4, 11, 3] [3, 4, 3] ------------- = --------- [4, 6, 11] [4, 6] denominator=, [4, 6, 12] [14, 12, 10] [14, 10] ------------ = -------- [4, 6, 12] [4, 6] [2, 10, 12, 5] [2, 10, 5] -------------- = ---------- [4, 6, 12] [4, 6] denominator=, [4, 8, 8] [12, 8, 7] [12, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [1, 13, 8, 5] [1, 13, 5] ------------- = ---------- [4, 8, 8] [4, 8] [2, 14, 8, 3] [2, 14, 3] ------------- = ---------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [4, 0, 8, 1] [4, 0, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 9, 6] [1, 0, 6, 5] [1, 0, 5] ------------ = --------- [4, 9, 6] [4, 9] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 14, 4] [1, 7, 4, 3] [1, 7, 3] ------------ = --------- [4, 14, 4] [4, 14] denominator=, [5, 0, 12] [1, 1, 12, 10] [1, 1, 10] -------------- = ---------- [5, 0, 12] [5, 0] denominator=, [5, 2, 11] [11, 11, 10] [11, 10] ------------ = -------- [5, 2, 11] [5, 2] [2, 14, 11, 5] [2, 14, 5] -------------- = ---------- [5, 2, 11] [5, 2] denominator=, [5, 3, 6] [1, 2, 6, 5] [1, 2, 5] ------------ = --------- [5, 3, 6] [5, 3] denominator=, [5, 3, 8] [1, 8, 8, 6] [1, 8, 6] ------------ = --------- [5, 3, 8] [5, 3] denominator=, [5, 3, 13] [10, 13, 12] [10, 12] ------------ = -------- [5, 3, 13] [5, 3] [1, 12, 13, 9] [1, 12, 9] -------------- = ---------- [5, 3, 13] [5, 3] [2, 14, 13, 6] [2, 14, 6] -------------- = ---------- [5, 3, 13] [5, 3] [4, 1, 13, 3] [4, 1, 3] ------------- = --------- [5, 3, 13] [5, 3] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 5, 8] [2, 3, 8, 5] [2, 3, 5] ------------ = --------- [5, 5, 8] [5, 5] denominator=, [5, 7, 12] [1, 9, 12, 9] [1, 9, 9] ------------- = --------- [5, 7, 12] [5, 7] denominator=, [5, 9, 4] [1, 10, 4, 3] [1, 10, 3] ------------- = ---------- [5, 9, 4] [5, 9] denominator=, [5, 9, 12] [1, 3, 12, 10] [1, 3, 10] -------------- = ---------- [5, 9, 12] [5, 9] [3, 6, 12, 5] [3, 6, 5] ------------- = --------- [5, 9, 12] [5, 9] denominator=, [5, 10, 10] [13, 10, 9] [13, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 14, 10, 7] [1, 14, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 1, 10, 3] [4, 1, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 2, 10, 1] [5, 2, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 12, 6] [1, 4, 6, 5] [1, 4, 5] ------------ = --------- [5, 12, 6] [5, 12] denominator=, [5, 13, 8] [1, 11, 8, 6] [1, 11, 6] ------------- = ---------- [5, 13, 8] [5, 13] [3, 12, 8, 3] [3, 12, 3] ------------- = ---------- [5, 13, 8] [5, 13] denominator=, [6, 0, 9] [2, 13, 9, 5] [2, 13, 5] ------------- = ---------- [6, 0, 9] [6, 0] denominator=, [6, 1, 13] [1, 10, 13, 10] [1, 10, 10] --------------- = ----------- [6, 1, 13] [6, 1] [3, 13, 13, 5] [3, 13, 5] -------------- = ---------- [6, 1, 13] [6, 1] denominator=, [6, 2, 8] [2, 8, 8, 5] [2, 8, 5] ------------ = --------- [6, 2, 8] [6, 2] denominator=, [6, 2, 12] [1, 12, 12, 9] [1, 12, 9] -------------- = ---------- [6, 2, 12] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 3, 12] [1, 5, 12, 10] [1, 5, 10] -------------- = ---------- [6, 3, 12] [6, 3] denominator=, [6, 4, 4] [1, 13, 4, 3] [1, 13, 3] ------------- = ---------- [6, 4, 4] [6, 4] [4, 12, 4, 1] [4, 12, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [1, 14, 8, 6] [1, 14, 6] ------------- = ---------- [6, 8, 8] [6, 8] [5, 0, 8, 2] [5, 0, 2] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 12, 12] [14, 12, 11] [14, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 0, 12, 9] [2, 0, 9] ------------- = --------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 1, 12, 7] [3, 1, 7] ------------- = --------- [6, 12, 12] [6, 12] [4, 2, 12, 5] [4, 2, 5] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 3, 12, 3] [5, 3, 3] ------------- = --------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] [6, 4, 12, 1] [6, 4, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 14, 4] [2, 1, 4, 3] [2, 1, 3] ------------ = --------- [6, 14, 4] [6, 14] denominator=, [6, 14, 8] [2, 13, 8, 5] [2, 13, 5] ------------- = ---------- [6, 14, 8] [6, 14] denominator=, [7, 0, 5] [3, 1, 5, 3] [3, 1, 3] ------------ = --------- [7, 0, 5] [7, 0] denominator=, [7, 0, 6] [1, 8, 6, 5] [1, 8, 5] ------------ = --------- [7, 0, 6] [7, 0] denominator=, [7, 3, 8] [2, 2, 8, 6] [2, 2, 6] ------------ = --------- [7, 3, 8] [7, 3] [4, 10, 8, 3] [4, 10, 3] ------------- = ---------- [7, 3, 8] [7, 3] denominator=, [7, 5, 10] [1, 2, 10, 9] [1, 2, 9] ------------- = --------- [7, 5, 10] [7, 5] [3, 3, 10, 6] [3, 3, 6] ------------- = --------- [7, 5, 10] [7, 5] [5, 4, 10, 3] [5, 4, 3] ------------- = --------- [7, 5, 10] [7, 5] denominator=, [7, 5, 11] [1, 1, 11, 10] [1, 1, 10] -------------- = ---------- [7, 5, 11] [7, 5] [4, 3, 11, 5] [4, 3, 5] ------------- = --------- [7, 5, 11] [7, 5] denominator=, [7, 6, 12] [1, 9, 12, 10] [1, 9, 10] -------------- = ---------- [7, 6, 12] [7, 6] denominator=, [7, 7, 12] [2, 3, 12, 9] [2, 3, 9] ------------- = --------- [7, 7, 12] [7, 7] denominator=, [7, 9, 4] [2, 4, 4, 3] [2, 4, 3] ------------ = --------- [7, 9, 4] [7, 9] denominator=, [7, 9, 6] [1, 10, 6, 5] [1, 10, 5] ------------- = ---------- [7, 9, 6] [7, 9] denominator=, [7, 11, 8] [3, 3, 8, 5] [3, 3, 5] ------------ = --------- [7, 11, 8] [7, 11] denominator=, [7, 12, 9] [3, 11, 9, 5] [3, 11, 5] ------------- = ---------- [7, 12, 9] [7, 12] denominator=, [7, 13, 8] [2, 5, 8, 6] [2, 5, 6] ------------ = --------- [7, 13, 8] [7, 13] denominator=, [8, 0, 12] [1, 11, 12, 10] [1, 11, 10] --------------- = ----------- [8, 0, 12] [8, 0] [4, 13, 12, 5] [4, 13, 5] -------------- = ---------- [8, 0, 12] [8, 0] denominator=, [8, 1, 11] [1, 13, 11, 9] [1, 13, 9] -------------- = ---------- [8, 1, 11] [8, 1] [3, 14, 11, 6] [3, 14, 6] -------------- = ---------- [8, 1, 11] [8, 1] [6, 0, 11, 3] [6, 0, 3] ------------- = --------- [8, 1, 11] [8, 1] denominator=, [8, 2, 12] [2, 6, 12, 9] [2, 6, 9] ------------- = --------- [8, 2, 12] [8, 2] denominator=, [8, 3, 6] [1, 12, 6, 5] [1, 12, 5] ------------- = ---------- [8, 3, 6] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 9, 12] [1, 13, 12, 10] [1, 13, 10] --------------- = ----------- [8, 9, 12] [8, 9] denominator=, [8, 10, 5] [3, 12, 5, 3] [3, 12, 3] ------------- = ---------- [8, 10, 5] [8, 10] denominator=, [8, 10, 13] [2, 6, 13, 10] [2, 6, 10] -------------- = ---------- [8, 10, 13] [8, 10] [5, 8, 13, 5] [5, 8, 5] ------------- = --------- [8, 10, 13] [8, 10] denominator=, [8, 12, 6] [1, 14, 6, 5] [1, 14, 5] ------------- = ---------- [8, 12, 6] [8, 12] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 4] [2, 10, 4, 3] [2, 10, 3] ------------- = ---------- [8, 14, 4] [8, 14] denominator=, [9, 0, 10] [1, 6, 10, 9] [1, 6, 9] ------------- = --------- [9, 0, 10] [9, 0] [3, 14, 10, 6] [3, 14, 6] -------------- = ---------- [9, 0, 10] [9, 0] [6, 7, 10, 3] [6, 7, 3] ------------- = --------- [9, 0, 10] [9, 0] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 3, 8] [2, 11, 8, 6] [2, 11, 6] ------------- = ---------- [9, 3, 8] [9, 3] denominator=, [9, 3, 12] [2, 0, 12, 10] [2, 0, 10] -------------- = ---------- [9, 3, 12] [9, 3] [5, 9, 12, 5] [5, 9, 5] ------------- = --------- [9, 3, 12] [9, 3] denominator=, [9, 5, 8] [3, 13, 8, 5] [3, 13, 5] ------------- = ---------- [9, 5, 8] [9, 5] denominator=, [9, 6, 6] [2, 1, 6, 5] [2, 1, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [7, 14, 6, 1] [7, 14, 1] ------------- = ---------- [9, 6, 6] [9, 6] denominator=, [9, 7, 12] [2, 12, 12, 9] [2, 12, 9] -------------- = ---------- [9, 7, 12] [9, 7] denominator=, [9, 8, 11] [1, 6, 11, 10] [1, 6, 10] -------------- = ---------- [9, 8, 11] [9, 8] [5, 7, 11, 5] [5, 7, 5] ------------- = --------- [9, 8, 11] [9, 8] denominator=, [9, 8, 13] [1, 4, 13, 12] [1, 4, 12] -------------- = ---------- [9, 8, 13] [9, 8] [3, 5, 13, 9] [3, 5, 9] ------------- = --------- [9, 8, 13] [9, 8] [5, 6, 13, 6] [5, 6, 6] ------------- = --------- [9, 8, 13] [9, 8] [7, 7, 13, 3] [7, 7, 3] ------------- = --------- [9, 8, 13] [9, 8] denominator=, [9, 9, 4] [2, 13, 4, 3] [2, 13, 3] ------------- = ---------- [9, 9, 4] [9, 9] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 12, 12] [2, 2, 12, 10] [2, 2, 10] -------------- = ---------- [9, 12, 12] [9, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] [8, 4, 12, 2] [8, 4, 2] ------------- = --------- [9, 12, 12] [9, 12] denominator=, [9, 13, 8] [2, 14, 8, 6] [2, 14, 6] ------------- = ---------- [9, 13, 8] [9, 13] [6, 6, 8, 3] [6, 6, 3] ------------ = --------- [9, 13, 8] [9, 13] denominator=, [10, 0, 6] [2, 3, 6, 5] [2, 3, 5] ------------ = --------- [10, 0, 6] [10, 0] denominator=, [10, 2, 8] [4, 3, 8, 5] [4, 3, 5] ------------ = --------- [10, 2, 8] [10, 2] denominator=, [10, 2, 12] [3, 0, 12, 9] [3, 0, 9] ------------- = --------- [10, 2, 12] [10, 2] denominator=, [10, 4, 4] [3, 1, 4, 3] [3, 1, 3] ------------ = --------- [10, 4, 4] [10, 4] [7, 13, 4, 1] [7, 13, 1] ------------- = ---------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 12] [2, 4, 12, 10] [2, 4, 10] -------------- = ---------- [10, 6, 12] [10, 6] [6, 5, 12, 5] [6, 5, 5] ------------- = --------- [10, 6, 12] [10, 6] denominator=, [10, 8, 8] [3, 2, 8, 6] [3, 2, 6] ------------ = --------- [10, 8, 8] [10, 8] [8, 1, 8, 2] [8, 1, 2] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 9, 6] [2, 5, 6, 5] [2, 5, 5] ------------ = --------- [10, 9, 6] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 12] [3, 3, 12, 9] [3, 3, 9] ------------- = --------- [10, 12, 12] [10, 12] [8, 4, 12, 3] [8, 4, 3] ------------- = --------- [10, 12, 12] [10, 12] denominator=, [10, 14, 4] [3, 4, 4, 3] [3, 4, 3] ------------ = --------- [10, 14, 4] [10, 14] denominator=, [10, 14, 8] [4, 8, 8, 5] [4, 8, 5] ------------ = --------- [10, 14, 8] [10, 14] denominator=, [11, 0, 12] [2, 6, 12, 10] [2, 6, 10] -------------- = ---------- [11, 0, 12] [11, 0] denominator=, [11, 3, 6] [2, 7, 6, 5] [2, 7, 5] ------------ = --------- [11, 3, 6] [11, 3] denominator=, [11, 3, 8] [3, 5, 8, 6] [3, 5, 6] ------------ = --------- [11, 3, 8] [11, 3] [7, 4, 8, 3] [7, 4, 3] ------------ = --------- [11, 3, 8] [11, 3] denominator=, [11, 4, 13] [3, 2, 13, 10] [3, 2, 10] -------------- = ---------- [11, 4, 13] [11, 4] [7, 3, 13, 5] [7, 3, 5] ------------- = --------- [11, 4, 13] [11, 4] denominator=, [11, 6, 9] [5, 7, 9, 5] [5, 7, 5] ------------ = --------- [11, 6, 9] [11, 6] denominator=, [11, 7, 12] [3, 6, 12, 9] [3, 6, 9] ------------- = --------- [11, 7, 12] [11, 7] denominator=, [11, 9, 4] [3, 7, 4, 3] [3, 7, 3] ------------ = --------- [11, 9, 4] [11, 9] denominator=, [11, 9, 12] [2, 8, 12, 10] [2, 8, 10] -------------- = ---------- [11, 9, 12] [11, 9] [7, 1, 12, 5] [7, 1, 5] ------------- = --------- [11, 9, 12] [11, 9] denominator=, [11, 11, 8] [4, 13, 8, 5] [4, 13, 5] ------------- = ---------- [11, 11, 8] [11, 11] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 6] [2, 9, 6, 5] [2, 9, 5] ------------ = --------- [11, 12, 6] [11, 12] denominator=, [11, 13, 8] [3, 8, 8, 6] [3, 8, 6] ------------ = --------- [11, 13, 8] [11, 13] denominator=, [12, 0, 5] [5, 4, 5, 3] [5, 4, 3] ------------ = --------- [12, 0, 5] [12, 0] denominator=, [12, 2, 12] [3, 9, 12, 9] [3, 9, 9] ------------- = --------- [12, 2, 12] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 3, 12] [2, 10, 12, 10] [2, 10, 10] --------------- = ----------- [12, 3, 12] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 5, 10] [1, 14, 10, 9] [1, 14, 9] -------------- = ---------- [12, 5, 10] [12, 5] [5, 6, 10, 6] [5, 6, 6] ------------- = --------- [12, 5, 10] [12, 5] [8, 13, 10, 3] [8, 13, 3] -------------- = ---------- [12, 5, 10] [12, 5] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [2, 4, 8, 7] [2, 4, 7] ------------ = --------- [12, 8, 8] [12, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [5, 3, 8, 5] [5, 3, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 2, 8, 3] [8, 2, 3] ------------ = --------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] [11, 1, 8, 1] [11, 1, 1] ------------- = ---------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 4] [3, 13, 4, 3] [3, 13, 3] ------------- = ---------- [12, 14, 4] [12, 14] denominator=, [13, 0, 6] [2, 13, 6, 5] [2, 13, 5] ------------- = ---------- [13, 0, 6] [13, 0] denominator=, [13, 3, 8] [3, 14, 8, 6] [3, 14, 6] ------------- = ---------- [13, 3, 8] [13, 3] denominator=, [13, 3, 9] [6, 5, 9, 5] [6, 5, 5] ------------ = --------- [13, 3, 9] [13, 3] denominator=, [13, 5, 8] [5, 8, 8, 5] [5, 8, 5] ------------ = --------- [13, 5, 8] [13, 5] denominator=, [13, 6, 12] [2, 14, 12, 10] [2, 14, 10] --------------- = ----------- [13, 6, 12] [13, 6] denominator=, [13, 7, 12] [4, 0, 12, 9] [4, 0, 9] ------------- = --------- [13, 7, 12] [13, 7] denominator=, [13, 9, 4] [4, 1, 4, 3] [4, 1, 3] ------------ = --------- [13, 9, 4] [13, 9] denominator=, [13, 9, 6] [3, 0, 6, 5] [3, 0, 5] ------------ = --------- [13, 9, 6] [13, 9] denominator=, [13, 10, 5] [6, 0, 5, 3] [6, 0, 3] ------------ = --------- [13, 10, 5] [13, 10] denominator=, [13, 13, 8] [4, 2, 8, 6] [4, 2, 6] ------------ = --------- [13, 13, 8] [13, 13] [9, 0, 8, 3] [9, 0, 3] ------------ = --------- [13, 13, 8] [13, 13] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 11] [2, 1, 11, 10] [2, 1, 10] -------------- = ---------- [13, 14, 11] [13, 14] [8, 0, 11, 5] [8, 0, 5] ------------- = --------- [13, 14, 11] [13, 14] denominator=, [14, 0, 10] [2, 3, 10, 9] [2, 3, 9] ------------- = --------- [14, 0, 10] [14, 0] [6, 2, 10, 6] [6, 2, 6] ------------- = --------- [14, 0, 10] [14, 0] [10, 1, 10, 3] [10, 1, 3] -------------- = ---------- [14, 0, 10] [14, 0] denominator=, [14, 0, 12] [3, 1, 12, 10] [3, 1, 10] -------------- = ---------- [14, 0, 12] [14, 0] [8, 8, 12, 5] [8, 8, 5] ------------- = --------- [14, 0, 12] [14, 0] denominator=, [14, 2, 8] [5, 13, 8, 5] [5, 13, 5] ------------- = ---------- [14, 2, 8] [14, 2] denominator=, [14, 2, 12] [4, 3, 12, 9] [4, 3, 9] ------------- = --------- [14, 2, 12] [14, 2] denominator=, [14, 3, 6] [3, 2, 6, 5] [3, 2, 5] ------------ = --------- [14, 3, 6] [14, 3] denominator=, [14, 4, 4] [4, 4, 4, 3] [4, 4, 3] ------------ = --------- [14, 4, 4] [14, 4] [10, 14, 4, 1] [10, 14, 1] -------------- = ----------- [14, 4, 4] [14, 4] denominator=, [14, 8, 8] [4, 5, 8, 6] [4, 5, 6] ------------ = --------- [14, 8, 8] [14, 8] [11, 2, 8, 2] [11, 2, 2] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 9, 12] [3, 3, 12, 10] [3, 3, 10] -------------- = ---------- [14, 9, 12] [14, 9] denominator=, [14, 12, 6] [3, 4, 6, 5] [3, 4, 5] ------------ = --------- [14, 12, 6] [14, 12] denominator=, [14, 12, 12] [4, 6, 12, 9] [4, 6, 9] ------------- = --------- [14, 12, 12] [14, 12] [11, 5, 12, 3] [11, 5, 3] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 4] [4, 7, 4, 3] [4, 7, 3] ------------ = --------- [14, 14, 4] [14, 14] denominator=, [14, 14, 8] [6, 3, 8, 5] [6, 3, 5] ------------ = --------- [14, 14, 8] [14, 14] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 6] [7, 6, 3, 5] [7, 3, 5] ------------ = --------- [1, 0, 6] [1, 0] [11, 6, 1, 10] [11, 1, 10] -------------- = ----------- [1, 0, 6] [1, 0] denominator=, [1, 3, 8] [5, 8, 6, 0] [5, 6, 0] ------------ = --------- [1, 3, 8] [1, 3] denominator=, [1, 5, 8] [8, 8, 5] [8, 5] --------- = ------ [1, 5, 8] [1, 5] [8, 8, 5, 0] [8, 5, 0] ------------ = --------- [1, 5, 8] [1, 5] [12, 8, 3, 5] [12, 3, 5] ------------- = ---------- [1, 5, 8] [1, 5] [1, 1, 8, 1, 10] [1, 1, 1, 10] ---------------- = ------------- [1, 5, 8] [1, 5] denominator=, [1, 6, 3] [10, 3, 1, 10] [10, 1, 10] -------------- = ----------- [1, 6, 3] [1, 6] denominator=, [1, 7, 12] [6, 12, 9, 0] [6, 9, 0] ------------- = --------- [1, 7, 12] [1, 7] denominator=, [1, 9, 4] [7, 4, 3, 0] [7, 3, 0] ------------ = --------- [1, 9, 4] [1, 9] denominator=, [1, 13, 4] [1, 2, 4, 1, 10] [1, 2, 1, 10] ---------------- = ------------- [1, 13, 4] [1, 13] denominator=, [1, 13, 8] [8, 8, 6] [8, 6] ---------- = ------- [1, 13, 8] [1, 13] [2, 8, 7, 12] [2, 7, 12] ------------- = ---------- [1, 13, 8] [1, 13] [6, 8, 6, 9] [6, 6, 9] ------------ = --------- [1, 13, 8] [1, 13] [8, 8, 6, 0] [8, 6, 0] ------------ = --------- [1, 13, 8] [1, 13] [10, 8, 5, 6] [10, 5, 6] ------------- = ---------- [1, 13, 8] [1, 13] [14, 8, 4, 3] [14, 4, 3] ------------- = ---------- [1, 13, 8] [1, 13] [1, 1, 8, 3, 9] [1, 1, 3, 9] --------------- = ------------ [1, 13, 8] [1, 13] [1, 3, 8, 3, 0] [1, 3, 3, 0] --------------- = ------------ [1, 13, 8] [1, 13] [1, 7, 8, 1, 12] [1, 7, 1, 12] ---------------- = ------------- [1, 13, 8] [1, 13] [1, 9, 8, 1, 3] [1, 9, 1, 3] --------------- = ------------ [1, 13, 8] [1, 13] [1, 11, 8, 0, 9] [1, 11, 0, 9] ---------------- = ------------- [1, 13, 8] [1, 13] denominator=, [2, 0, 12] [2, 12, 11, 10] [2, 11, 10] --------------- = ----------- [2, 0, 12] [2, 0] [10, 12, 8, 5] [10, 8, 5] -------------- = ---------- [2, 0, 12] [2, 0] [14, 12, 6, 10] [14, 6, 10] --------------- = ----------- [2, 0, 12] [2, 0] [1, 3, 12, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [2, 0, 12] [2, 0] [1, 7, 12, 3, 5] [1, 7, 3, 5] ---------------- = ------------ [2, 0, 12] [2, 0] [1, 11, 12, 1, 10] [1, 11, 1, 10] ------------------ = -------------- [2, 0, 12] [2, 0] denominator=, [2, 2, 8] [13, 8, 5, 0] [13, 5, 0] ------------- = ---------- [2, 2, 8] [2, 2] denominator=, [2, 2, 12] [9, 12, 9, 0] [9, 9, 0] ------------- = --------- [2, 2, 12] [2, 2] denominator=, [2, 4, 4] [10, 4, 3, 0] [10, 3, 0] ------------- = ---------- [2, 4, 4] [2, 4] [1, 11, 4, 1, 0] [1, 11, 1, 0] ---------------- = ------------- [2, 4, 4] [2, 4] denominator=, [2, 5, 10] [1, 10, 10, 3] [1, 10, 3] -------------- = ---------- [2, 5, 10] [2, 5] [3, 10, 9, 9] [3, 9, 9] ------------- = --------- [2, 5, 10] [2, 5] [7, 10, 8, 6] [7, 8, 6] ------------- = --------- [2, 5, 10] [2, 5] [9, 10, 7, 12] [9, 7, 12] -------------- = ---------- [2, 5, 10] [2, 5] [11, 10, 7, 3] [11, 7, 3] -------------- = ---------- [2, 5, 10] [2, 5] [13, 10, 6, 9] [13, 6, 9] -------------- = ---------- [2, 5, 10] [2, 5] [1, 2, 10, 5, 6] [1, 2, 5, 6] ---------------- = ------------ [2, 5, 10] [2, 5] [1, 4, 10, 4, 12] [1, 4, 4, 12] ----------------- = ------------- [2, 5, 10] [2, 5] [1, 6, 10, 4, 3] [1, 6, 4, 3] ---------------- = ------------ [2, 5, 10] [2, 5] [1, 8, 10, 3, 9] [1, 8, 3, 9] ---------------- = ------------ [2, 5, 10] [2, 5] [1, 12, 10, 2, 6] [1, 12, 2, 6] ----------------- = ------------- [2, 5, 10] [2, 5] [1, 14, 10, 1, 12] [1, 14, 1, 12] ------------------ = -------------- [2, 5, 10] [2, 5] [2, 1, 10, 1, 3] [2, 1, 1, 3] ---------------- = ------------ [2, 5, 10] [2, 5] [2, 3, 10, 0, 9] [2, 3, 0, 9] ---------------- = ------------ [2, 5, 10] [2, 5] denominator=, [2, 6, 9] [1, 2, 9, 5, 0] [1, 2, 5, 0] --------------- = ------------ [2, 6, 9] [2, 6] denominator=, [2, 8, 8] [5, 8, 7, 5] [5, 7, 5] ------------ = --------- [2, 8, 8] [2, 8] [11, 8, 6, 0] [11, 6, 0] ------------- = ---------- [2, 8, 8] [2, 8] [1, 2, 8, 4, 10] [1, 2, 4, 10] ---------------- = ------------- [2, 8, 8] [2, 8] [1, 8, 8, 3, 5] [1, 8, 3, 5] --------------- = ------------ [2, 8, 8] [2, 8] [1, 14, 8, 2, 0] [1, 14, 2, 0] ---------------- = ------------- [2, 8, 8] [2, 8] [2, 5, 8, 0, 10] [2, 5, 0, 10] ---------------- = ------------- [2, 8, 8] [2, 8] denominator=, [2, 12, 6] [1, 5, 6, 3, 5] [1, 5, 3, 5] --------------- = ------------ [2, 12, 6] [2, 12] [2, 1, 6, 1, 10] [2, 1, 1, 10] ---------------- = ------------- [2, 12, 6] [2, 12] denominator=, [2, 12, 12] [12, 12, 9] [12, 9] ----------- = ------- [2, 12, 12] [2, 12] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [2, 12, 12] [2, 12] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [2, 12, 12] [2, 12] [12, 12, 9, 0] [12, 9, 0] -------------- = ---------- [2, 12, 12] [2, 12] [1, 1, 12, 7, 12] [1, 1, 7, 12] ----------------- = ------------- [2, 12, 12] [2, 12] [1, 5, 12, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 9, 12, 5, 6] [1, 9, 5, 6] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 13, 12, 4, 3] [1, 13, 4, 3] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 2, 12, 3, 0] [2, 2, 3, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [2, 6, 12, 1, 12] [2, 6, 1, 12] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 10, 12, 0, 9] [2, 10, 0, 9] ----------------- = ------------- [2, 12, 12] [2, 12] denominator=, [2, 14, 4] [13, 4, 3, 0] [13, 3, 0] ------------- = ---------- [2, 14, 4] [2, 14] denominator=, [2, 14, 8] [1, 3, 8, 5, 0] [1, 3, 5, 0] --------------- = ------------ [2, 14, 8] [2, 14] denominator=, [2, 14, 11] [6, 11, 10, 0] [6, 10, 0] -------------- = ---------- [2, 14, 11] [2, 14] [1, 10, 11, 5, 0] [1, 10, 5, 0] ----------------- = ------------- [2, 14, 11] [2, 14] denominator=, [3, 1, 4] [1, 13, 4, 1, 10] [1, 13, 1, 10] ----------------- = -------------- [3, 1, 4] [3, 1] denominator=, [3, 3, 8] [14, 8, 6, 0] [14, 6, 0] ------------- = ---------- [3, 3, 8] [3, 3] [2, 1, 8, 3, 0] [2, 1, 3, 0] --------------- = ------------ [3, 3, 8] [3, 3] denominator=, [3, 3, 12] [1, 14, 12, 5, 0] [1, 14, 5, 0] ----------------- = ------------- [3, 3, 12] [3, 3] denominator=, [3, 7, 12] [1, 0, 12, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [3, 7, 12] [3, 7] denominator=, [3, 7, 13] [14, 13, 10, 0] [14, 10, 0] --------------- = ----------- [3, 7, 13] [3, 7] [2, 3, 13, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [3, 7, 13] [3, 7] denominator=, [3, 9, 4] [1, 1, 4, 3, 0] [1, 1, 3, 0] --------------- = ------------ [3, 9, 4] [3, 9] denominator=, [3, 11, 8] [1, 8, 8, 5] [1, 8, 5] ------------ = --------- [3, 11, 8] [3, 11] [1, 8, 8, 5, 0] [1, 8, 5, 0] --------------- = ------------ [3, 11, 8] [3, 11] [2, 4, 8, 3, 5] [2, 4, 3, 5] --------------- = ------------ [3, 11, 8] [3, 11] [3, 0, 8, 1, 10] [3, 0, 1, 10] ---------------- = ------------- [3, 11, 8] [3, 11] denominator=, [3, 12, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 12, 12] [3, 12] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [3, 12, 12] [3, 12] [9, 12, 10, 10] [9, 10, 10] --------------- = ----------- [3, 12, 12] [3, 12] [1, 0, 12, 9, 5] [1, 0, 9, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 3, 12, 8, 10] [1, 3, 8, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [1, 9, 12, 7, 5] [1, 9, 7, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 12, 12, 6, 10] [1, 12, 6, 10] ------------------ = -------------- [3, 12, 12] [3, 12] [2, 3, 12, 5, 5] [2, 3, 5, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 6, 12, 4, 10] [2, 6, 4, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [2, 12, 12, 3, 5] [2, 12, 3, 5] ----------------- = ------------- [3, 12, 12] [3, 12] [3, 0, 12, 2, 10] [3, 0, 2, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [3, 6, 12, 1, 5] [3, 6, 1, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 9, 12, 0, 10] [3, 9, 0, 10] ----------------- = ------------- [3, 12, 12] [3, 12] denominator=, [3, 13, 8] [1, 2, 8, 6, 0] [1, 2, 6, 0] --------------- = ------------ [3, 13, 8] [3, 13] denominator=, [4, 2, 12] [1, 3, 12, 9, 0] [1, 3, 9, 0] ---------------- = ------------ [4, 2, 12] [4, 2] denominator=, [4, 3, 9] [8, 9, 8, 5] [8, 8, 5] ------------ = --------- [4, 3, 9] [4, 3] [1, 4, 9, 6, 10] [1, 4, 6, 10] ---------------- = ------------- [4, 3, 9] [4, 3] [2, 0, 9, 5, 0] [2, 0, 5, 0] --------------- = ------------ [4, 3, 9] [4, 3] [2, 11, 9, 3, 5] [2, 11, 3, 5] ---------------- = ------------- [4, 3, 9] [4, 3] [3, 7, 9, 1, 10] [3, 7, 1, 10] ---------------- = ------------- [4, 3, 9] [4, 3] denominator=, [4, 6, 11] [1, 0, 11, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [4, 6, 11] [4, 6] [2, 2, 11, 6, 0] [2, 2, 6, 0] ---------------- = ------------ [4, 6, 11] [4, 6] [3, 4, 11, 3, 0] [3, 4, 3, 0] ---------------- = ------------ [4, 6, 11] [4, 6] denominator=, [4, 6, 12] [2, 10, 12, 5, 0] [2, 10, 5, 0] ----------------- = ------------- [4, 6, 12] [4, 6] denominator=, [4, 8, 8] [12, 8, 7, 0] [12, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [1, 13, 8, 5, 0] [1, 13, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [2, 14, 8, 3, 0] [2, 14, 3, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 0, 8, 1, 0] [4, 0, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 6] [2, 3, 6, 3, 5] [2, 3, 3, 5] --------------- = ------------ [4, 9, 6] [4, 9] [3, 6, 6, 1, 10] [3, 6, 1, 10] ---------------- = ------------- [4, 9, 6] [4, 9] denominator=, [4, 12, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] denominator=, [4, 14, 4] [1, 7, 4, 3, 0] [1, 7, 3, 0] --------------- = ------------ [4, 14, 4] [4, 14] denominator=, [4, 14, 8] [3, 0, 8, 3, 5] [3, 0, 3, 5] --------------- = ------------ [4, 14, 8] [4, 14] denominator=, [5, 0, 3] [2, 6, 3, 1, 10] [2, 6, 1, 10] ---------------- = ------------- [5, 0, 3] [5, 0] denominator=, [5, 2, 11] [11, 11, 10] [11, 10] ------------ = -------- [5, 2, 11] [5, 2] [11, 11, 10, 0] [11, 10, 0] --------------- = ----------- [5, 2, 11] [5, 2] [1, 7, 11, 8, 5] [1, 7, 8, 5] ---------------- = ------------ [5, 2, 11] [5, 2] [2, 3, 11, 6, 10] [2, 3, 6, 10] ----------------- = ------------- [5, 2, 11] [5, 2] [2, 14, 11, 5, 0] [2, 14, 5, 0] ----------------- = ------------- [5, 2, 11] [5, 2] [3, 10, 11, 3, 5] [3, 10, 3, 5] ----------------- = ------------- [5, 2, 11] [5, 2] [4, 6, 11, 1, 10] [4, 6, 1, 10] ----------------- = ------------- [5, 2, 11] [5, 2] denominator=, [5, 3, 8] [1, 8, 8, 6] [1, 8, 6] ------------ = --------- [5, 3, 8] [5, 3] [1, 8, 8, 6, 0] [1, 8, 6, 0] --------------- = ------------ [5, 3, 8] [5, 3] [3, 0, 8, 3, 9] [3, 0, 3, 9] --------------- = ------------ [5, 3, 8] [5, 3] [4, 7, 8, 1, 3] [4, 7, 1, 3] --------------- = ------------ [5, 3, 8] [5, 3] denominator=, [5, 3, 13] [10, 13, 12, 0] [10, 12, 0] --------------- = ----------- [5, 3, 13] [5, 3] [1, 12, 13, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [5, 3, 13] [5, 3] [2, 14, 13, 6, 0] [2, 14, 6, 0] ----------------- = ------------- [5, 3, 13] [5, 3] [4, 1, 13, 3, 0] [4, 1, 3, 0] ---------------- = ------------ [5, 3, 13] [5, 3] denominator=, [5, 5, 8] [2, 3, 8, 5, 0] [2, 3, 5, 0] --------------- = ------------ [5, 5, 8] [5, 5] denominator=, [5, 7, 4] [3, 5, 4, 1, 10] [3, 5, 1, 10] ---------------- = ------------- [5, 7, 4] [5, 7] denominator=, [5, 7, 12] [1, 9, 12, 9, 0] [1, 9, 9, 0] ---------------- = ------------ [5, 7, 12] [5, 7] denominator=, [5, 9, 4] [1, 10, 4, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [5, 9, 4] [5, 9] denominator=, [5, 9, 12] [7, 12, 11, 10] [7, 11, 10] --------------- = ----------- [5, 9, 12] [5, 9] [1, 14, 12, 8, 5] [1, 14, 8, 5] ----------------- = ------------- [5, 9, 12] [5, 9] [2, 10, 12, 6, 10] [2, 10, 6, 10] ------------------ = -------------- [5, 9, 12] [5, 9] [3, 6, 12, 5, 0] [3, 6, 5, 0] ---------------- = ------------ [5, 9, 12] [5, 9] [4, 2, 12, 3, 5] [4, 2, 3, 5] ---------------- = ------------ [5, 9, 12] [5, 9] [4, 13, 12, 1, 10] [4, 13, 1, 10] ------------------ = -------------- [5, 9, 12] [5, 9] denominator=, [5, 13, 8] [1, 11, 8, 6, 0] [1, 11, 6, 0] ---------------- = ------------- [5, 13, 8] [5, 13] [3, 12, 8, 3, 0] [3, 12, 3, 0] ---------------- = ------------- [5, 13, 8] [5, 13] denominator=, [6, 0, 9] [2, 13, 9, 5, 0] [2, 13, 5, 0] ---------------- = ------------- [6, 0, 9] [6, 0] denominator=, [6, 1, 13] [3, 13, 13, 5] [3, 13, 5] -------------- = ---------- [6, 1, 13] [6, 1] [14, 13, 11, 10] [14, 11, 10] ---------------- = ------------ [6, 1, 13] [6, 1] [1, 10, 13, 10, 0] [1, 10, 10, 0] ------------------ = -------------- [6, 1, 13] [6, 1] [2, 6, 13, 8, 5] [2, 6, 8, 5] ---------------- = ------------ [6, 1, 13] [6, 1] [3, 2, 13, 6, 10] [3, 2, 6, 10] ----------------- = ------------- [6, 1, 13] [6, 1] [3, 13, 13, 5, 0] [3, 13, 5, 0] ----------------- = ------------- [6, 1, 13] [6, 1] [4, 9, 13, 3, 5] [4, 9, 3, 5] ---------------- = ------------ [6, 1, 13] [6, 1] [5, 5, 13, 1, 10] [5, 5, 1, 10] ----------------- = ------------- [6, 1, 13] [6, 1] denominator=, [6, 2, 8] [2, 8, 8, 5] [2, 8, 5] ------------ = --------- [6, 2, 8] [6, 2] [2, 8, 8, 5, 0] [2, 8, 5, 0] --------------- = ------------ [6, 2, 8] [6, 2] [3, 11, 8, 3, 5] [3, 11, 3, 5] ---------------- = ------------- [6, 2, 8] [6, 2] [4, 14, 8, 1, 10] [4, 14, 1, 10] ----------------- = -------------- [6, 2, 8] [6, 2] denominator=, [6, 2, 12] [1, 12, 12, 9] [1, 12, 9] -------------- = ---------- [6, 2, 12] [6, 2] [1, 12, 12, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [6, 2, 12] [6, 2] [3, 8, 12, 5, 6] [3, 8, 5, 6] ---------------- = ------------ [6, 2, 12] [6, 2] [5, 4, 12, 1, 12] [5, 4, 1, 12] ----------------- = ------------- [6, 2, 12] [6, 2] denominator=, [6, 4, 4] [1, 13, 4, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [6, 4, 4] [6, 4] [4, 12, 4, 1, 0] [4, 12, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 8, 8] [1, 14, 8, 6, 0] [1, 14, 6, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [5, 0, 8, 2, 0] [5, 0, 2, 0] --------------- = ------------ [6, 8, 8] [6, 8] denominator=, [6, 10, 4] [4, 1, 4, 1, 10] [4, 1, 1, 10] ---------------- = ------------- [6, 10, 4] [6, 10] denominator=, [6, 12, 3] [3, 4, 3, 1, 10] [3, 4, 1, 10] ---------------- = ------------- [6, 12, 3] [6, 12] denominator=, [6, 12, 12] [14, 12, 11, 0] [14, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [2, 0, 12, 9, 0] [2, 0, 9, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [3, 1, 12, 7, 0] [3, 1, 7, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 2, 12, 5, 0] [4, 2, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [5, 3, 12, 3, 0] [5, 3, 3, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [6, 4, 12, 1, 0] [6, 4, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 14, 4] [2, 1, 4, 3, 0] [2, 1, 3, 0] --------------- = ------------ [6, 14, 4] [6, 14] denominator=, [6, 14, 8] [2, 13, 8, 5, 0] [2, 13, 5, 0] ---------------- = ------------- [6, 14, 8] [6, 14] denominator=, [7, 3, 8] [2, 2, 8, 6, 0] [2, 2, 6, 0] --------------- = ------------ [7, 3, 8] [7, 3] [4, 10, 8, 3, 0] [4, 10, 3, 0] ---------------- = ------------- [7, 3, 8] [7, 3] denominator=, [7, 5, 8] [4, 7, 8, 3, 5] [4, 7, 3, 5] --------------- = ------------ [7, 5, 8] [7, 5] denominator=, [7, 5, 11] [1, 1, 11, 10, 0] [1, 1, 10, 0] ----------------- = ------------- [7, 5, 11] [7, 5] [4, 3, 11, 5, 0] [4, 3, 5, 0] ---------------- = ------------ [7, 5, 11] [7, 5] denominator=, [7, 6, 12] [3, 8, 12, 6, 10] [3, 8, 6, 10] ----------------- = ------------- [7, 6, 12] [7, 6] [5, 7, 12, 3, 5] [5, 7, 3, 5] ---------------- = ------------ [7, 6, 12] [7, 6] denominator=, [7, 7, 12] [2, 3, 12, 9, 0] [2, 3, 9, 0] ---------------- = ------------ [7, 7, 12] [7, 7] denominator=, [7, 9, 4] [2, 4, 4, 3] [2, 4, 3] ------------ = --------- [7, 9, 4] [7, 9] [2, 4, 4, 3, 0] [2, 4, 3, 0] --------------- = ------------ [7, 9, 4] [7, 9] [4, 6, 4, 1, 12] [4, 6, 1, 12] ---------------- = ------------- [7, 9, 4] [7, 9] [6, 8, 4, 0, 9] [6, 8, 0, 9] --------------- = ------------ [7, 9, 4] [7, 9] denominator=, [7, 11, 8] [3, 3, 8, 5, 0] [3, 3, 5, 0] --------------- = ------------ [7, 11, 8] [7, 11] denominator=, [7, 12, 9] [3, 11, 9, 5, 0] [3, 11, 5, 0] ---------------- = ------------- [7, 12, 9] [7, 12] denominator=, [7, 13, 4] [4, 12, 4, 1, 10] [4, 12, 1, 10] ----------------- = -------------- [7, 13, 4] [7, 13] denominator=, [7, 13, 8] [2, 5, 8, 6, 0] [2, 5, 6, 0] --------------- = ------------ [7, 13, 8] [7, 13] denominator=, [8, 0, 12] [4, 13, 12, 5, 0] [4, 13, 5, 0] ----------------- = ------------- [8, 0, 12] [8, 0] denominator=, [8, 1, 11] [1, 13, 11, 9, 0] [1, 13, 9, 0] ----------------- = ------------- [8, 1, 11] [8, 1] [3, 14, 11, 6, 0] [3, 14, 6, 0] ----------------- = ------------- [8, 1, 11] [8, 1] [6, 0, 11, 3, 0] [6, 0, 3, 0] ---------------- = ------------ [8, 1, 11] [8, 1] denominator=, [8, 2, 12] [2, 6, 12, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [8, 2, 12] [8, 2] denominator=, [8, 3, 6] [3, 14, 6, 3, 5] [3, 14, 3, 5] ---------------- = ------------- [8, 3, 6] [8, 3] [6, 1, 6, 1, 10] [6, 1, 1, 10] ---------------- = ------------- [8, 3, 6] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 9, 3] [4, 2, 3, 1, 10] [4, 2, 1, 10] ---------------- = ------------- [8, 9, 3] [8, 9] denominator=, [8, 10, 13] [2, 6, 13, 10, 0] [2, 6, 10, 0] ----------------- = ------------- [8, 10, 13] [8, 10] [5, 8, 13, 5, 0] [5, 8, 5, 0] ---------------- = ------------ [8, 10, 13] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 14, 4] [2, 10, 4, 3, 0] [2, 10, 3, 0] ---------------- = ------------- [8, 14, 4] [8, 14] denominator=, [9, 1, 4] [5, 8, 4, 1, 10] [5, 8, 1, 10] ---------------- = ------------- [9, 1, 4] [9, 1] denominator=, [9, 3, 8] [2, 11, 8, 6, 0] [2, 11, 6, 0] ---------------- = ------------- [9, 3, 8] [9, 3] denominator=, [9, 3, 12] [12, 12, 11, 10] [12, 11, 10] ---------------- = ------------ [9, 3, 12] [9, 3] [3, 3, 12, 8, 5] [3, 3, 8, 5] ---------------- = ------------ [9, 3, 12] [9, 3] [4, 6, 12, 6, 10] [4, 6, 6, 10] ----------------- = ------------- [9, 3, 12] [9, 3] [5, 9, 12, 5, 0] [5, 9, 5, 0] ---------------- = ------------ [9, 3, 12] [9, 3] [6, 12, 12, 3, 5] [6, 12, 3, 5] ----------------- = ------------- [9, 3, 12] [9, 3] [8, 0, 12, 1, 10] [8, 0, 1, 10] ----------------- = ------------- [9, 3, 12] [9, 3] denominator=, [9, 5, 8] [3, 13, 8, 5, 0] [3, 13, 5, 0] ---------------- = ------------- [9, 5, 8] [9, 5] denominator=, [9, 7, 12] [2, 12, 12, 9] [2, 12, 9] -------------- = ---------- [9, 7, 12] [9, 7] [2, 12, 12, 9, 0] [2, 12, 9, 0] ----------------- = ------------- [9, 7, 12] [9, 7] [5, 7, 12, 5, 6] [5, 7, 5, 6] ---------------- = ------------ [9, 7, 12] [9, 7] [8, 2, 12, 1, 12] [8, 2, 1, 12] ----------------- = ------------- [9, 7, 12] [9, 7] denominator=, [9, 8, 11] [1, 6, 11, 10, 0] [1, 6, 10, 0] ----------------- = ------------- [9, 8, 11] [9, 8] [5, 7, 11, 5, 0] [5, 7, 5, 0] ---------------- = ------------ [9, 8, 11] [9, 8] denominator=, [9, 8, 13] [1, 4, 13, 12, 0] [1, 4, 12, 0] ----------------- = ------------- [9, 8, 13] [9, 8] [3, 5, 13, 9, 0] [3, 5, 9, 0] ---------------- = ------------ [9, 8, 13] [9, 8] [5, 6, 13, 6, 0] [5, 6, 6, 0] ---------------- = ------------ [9, 8, 13] [9, 8] [7, 7, 13, 3, 0] [7, 7, 3, 0] ---------------- = ------------ [9, 8, 13] [9, 8] denominator=, [9, 9, 4] [2, 13, 4, 3, 0] [2, 13, 3, 0] ---------------- = ------------- [9, 9, 4] [9, 9] denominator=, [9, 11, 8] [5, 14, 8, 3, 5] [5, 14, 3, 5] ---------------- = ------------- [9, 11, 8] [9, 11] denominator=, [9, 13, 8] [2, 14, 8, 6, 0] [2, 14, 6, 0] ---------------- = ------------- [9, 13, 8] [9, 13] [6, 6, 8, 3, 0] [6, 6, 3, 0] --------------- = ------------ [9, 13, 8] [9, 13] denominator=, [10, 0, 6] [4, 12, 6, 3, 5] [4, 12, 3, 5] ---------------- = ------------- [10, 0, 6] [10, 0] [7, 6, 6, 1, 10] [7, 6, 1, 10] ---------------- = ------------- [10, 0, 6] [10, 0] denominator=, [10, 2, 8] [4, 3, 8, 5, 0] [4, 3, 5, 0] --------------- = ------------ [10, 2, 8] [10, 2] denominator=, [10, 2, 12] [3, 0, 12, 9, 0] [3, 0, 9, 0] ---------------- = ------------ [10, 2, 12] [10, 2] denominator=, [10, 4, 4] [1, 7, 4, 3, 10] [1, 7, 3, 10] ---------------- = ------------- [10, 4, 4] [10, 4] [3, 1, 4, 3, 0] [3, 1, 3, 0] --------------- = ------------ [10, 4, 4] [10, 4] [4, 10, 4, 2, 5] [4, 10, 2, 5] ---------------- = ------------- [10, 4, 4] [10, 4] [6, 4, 4, 1, 10] [6, 4, 1, 10] ---------------- = ------------- [10, 4, 4] [10, 4] [7, 13, 4, 1, 0] [7, 13, 1, 0] ---------------- = ------------- [10, 4, 4] [10, 4] [9, 7, 4, 0, 5] [9, 7, 0, 5] --------------- = ------------ [10, 4, 4] [10, 4] denominator=, [10, 6, 3] [5, 0, 3, 1, 10] [5, 0, 1, 10] ---------------- = ------------- [10, 6, 3] [10, 6] denominator=, [10, 6, 12] [6, 5, 12, 5, 0] [6, 5, 5, 0] ---------------- = ------------ [10, 6, 12] [10, 6] denominator=, [10, 8, 8] [3, 2, 8, 6, 0] [3, 2, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [8, 1, 8, 2, 0] [8, 1, 2, 0] --------------- = ------------ [10, 8, 8] [10, 8] denominator=, [10, 12, 12] [3, 3, 12, 9, 0] [3, 3, 9, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [8, 4, 12, 3, 0] [8, 4, 3, 0] ---------------- = ------------ [10, 12, 12] [10, 12] denominator=, [10, 14, 4] [3, 4, 4, 3] [3, 4, 3] ------------ = --------- [10, 14, 4] [10, 14] [3, 4, 4, 3, 0] [3, 4, 3, 0] --------------- = ------------ [10, 14, 4] [10, 14] [6, 5, 4, 1, 12] [6, 5, 1, 12] ---------------- = ------------- [10, 14, 4] [10, 14] [9, 6, 4, 0, 9] [9, 6, 0, 9] --------------- = ------------ [10, 14, 4] [10, 14] denominator=, [10, 14, 8] [4, 8, 8, 5] [4, 8, 5] ------------ = --------- [10, 14, 8] [10, 14] [4, 8, 8, 5, 0] [4, 8, 5, 0] --------------- = ------------ [10, 14, 8] [10, 14] [6, 10, 8, 3, 5] [6, 10, 3, 5] ---------------- = ------------- [10, 14, 8] [10, 14] [8, 12, 8, 1, 10] [8, 12, 1, 10] ----------------- = -------------- [10, 14, 8] [10, 14] denominator=, [11, 0, 12] [5, 4, 12, 6, 10] [5, 4, 6, 10] ----------------- = ------------- [11, 0, 12] [11, 0] [8, 2, 12, 3, 5] [8, 2, 3, 5] ---------------- = ------------ [11, 0, 12] [11, 0] denominator=, [11, 3, 8] [3, 5, 8, 6, 0] [3, 5, 6, 0] --------------- = ------------ [11, 3, 8] [11, 3] [7, 4, 8, 3, 0] [7, 4, 3, 0] --------------- = ------------ [11, 3, 8] [11, 3] denominator=, [11, 4, 13] [3, 2, 13, 10, 0] [3, 2, 10, 0] ----------------- = ------------- [11, 4, 13] [11, 4] [7, 3, 13, 5, 0] [7, 3, 5, 0] ---------------- = ------------ [11, 4, 13] [11, 4] denominator=, [11, 6, 9] [5, 7, 9, 5, 0] [5, 7, 5, 0] --------------- = ------------ [11, 6, 9] [11, 6] denominator=, [11, 7, 4] [7, 0, 4, 1, 10] [7, 0, 1, 10] ---------------- = ------------- [11, 7, 4] [11, 7] denominator=, [11, 7, 12] [3, 6, 12, 9, 0] [3, 6, 9, 0] ---------------- = ------------ [11, 7, 12] [11, 7] denominator=, [11, 9, 4] [3, 7, 4, 3, 0] [3, 7, 3, 0] --------------- = ------------ [11, 9, 4] [11, 9] denominator=, [11, 9, 12] [7, 1, 12, 5, 0] [7, 1, 5, 0] ---------------- = ------------ [11, 9, 12] [11, 9] denominator=, [11, 11, 8] [4, 13, 8, 5, 0] [4, 13, 5, 0] ---------------- = ------------- [11, 11, 8] [11, 11] denominator=, [11, 12, 6] [5, 10, 6, 3, 5] [5, 10, 3, 5] ---------------- = ------------- [11, 12, 6] [11, 12] [8, 11, 6, 1, 10] [8, 11, 1, 10] ----------------- = -------------- [11, 12, 6] [11, 12] denominator=, [11, 13, 8] [3, 8, 8, 6] [3, 8, 6] ------------ = --------- [11, 13, 8] [11, 13] [3, 8, 8, 6, 0] [3, 8, 6, 0] --------------- = ------------ [11, 13, 8] [11, 13] [6, 13, 8, 3, 9] [6, 13, 3, 9] ---------------- = ------------- [11, 13, 8] [11, 13] [10, 3, 8, 1, 3] [10, 3, 1, 3] ---------------- = ------------- [11, 13, 8] [11, 13] denominator=, [12, 2, 8] [7, 6, 8, 3, 5] [7, 6, 3, 5] --------------- = ------------ [12, 2, 8] [12, 2] denominator=, [12, 2, 12] [3, 9, 12, 9, 0] [3, 9, 9, 0] ---------------- = ------------ [12, 2, 12] [12, 2] denominator=, [12, 3, 3] [2, 1, 3, 2, 10] [2, 1, 2, 10] ---------------- = ------------- [12, 3, 3] [12, 3] [3, 5, 3, 2, 5] [3, 5, 2, 5] --------------- = ------------ [12, 3, 3] [12, 3] [5, 13, 3, 1, 10] [5, 13, 1, 10] ----------------- = -------------- [12, 3, 3] [12, 3] [7, 2, 3, 1, 5] [7, 2, 1, 5] --------------- = ------------ [12, 3, 3] [12, 3] [9, 10, 3, 0, 10] [9, 10, 0, 10] ----------------- = -------------- [12, 3, 3] [12, 3] [10, 14, 3, 0, 5] [10, 14, 0, 5] ----------------- = -------------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] denominator=, [12, 8, 8] [2, 4, 8, 7, 0] [2, 4, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [5, 3, 8, 5, 0] [5, 3, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 2, 8, 3, 0] [8, 2, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] [11, 1, 8, 1, 0] [11, 1, 1, 0] ---------------- = ------------- [12, 8, 8] [12, 8] denominator=, [12, 10, 4] [7, 11, 4, 1, 10] [7, 11, 1, 10] ----------------- = -------------- [12, 10, 4] [12, 10] denominator=, [12, 14, 4] [3, 13, 4, 3, 0] [3, 13, 3, 0] ---------------- = ------------- [12, 14, 4] [12, 14] denominator=, [13, 3, 8] [3, 14, 8, 6, 0] [3, 14, 6, 0] ---------------- = ------------- [13, 3, 8] [13, 3] denominator=, [13, 3, 9] [6, 5, 9, 5, 0] [6, 5, 5, 0] --------------- = ------------ [13, 3, 9] [13, 3] denominator=, [13, 5, 8] [5, 8, 8, 5] [5, 8, 5] ------------ = --------- [13, 5, 8] [13, 5] [5, 8, 8, 5, 0] [5, 8, 5, 0] --------------- = ------------ [13, 5, 8] [13, 5] [8, 2, 8, 3, 5] [8, 2, 3, 5] --------------- = ------------ [13, 5, 8] [13, 5] [10, 11, 8, 1, 10] [10, 11, 1, 10] ------------------ = --------------- [13, 5, 8] [13, 5] denominator=, [13, 7, 12] [4, 0, 12, 9, 0] [4, 0, 9, 0] ---------------- = ------------ [13, 7, 12] [13, 7] denominator=, [13, 9, 4] [4, 1, 4, 3, 0] [4, 1, 3, 0] --------------- = ------------ [13, 9, 4] [13, 9] denominator=, [13, 9, 6] [6, 8, 6, 3, 5] [6, 8, 3, 5] --------------- = ------------ [13, 9, 6] [13, 9] [10, 1, 6, 1, 10] [10, 1, 1, 10] ----------------- = -------------- [13, 9, 6] [13, 9] denominator=, [13, 10, 5] [1, 6, 5, 4, 12] [1, 6, 4, 12] ---------------- = ------------- [13, 10, 5] [13, 10] [2, 14, 5, 4, 3] [2, 14, 4, 3] ---------------- = ------------- [13, 10, 5] [13, 10] [4, 7, 5, 3, 9] [4, 7, 3, 9] --------------- = ------------ [13, 10, 5] [13, 10] [7, 8, 5, 2, 6] [7, 8, 2, 6] --------------- = ------------ [13, 10, 5] [13, 10] [9, 1, 5, 1, 12] [9, 1, 1, 12] ---------------- = ------------- [13, 10, 5] [13, 10] [10, 9, 5, 1, 3] [10, 9, 1, 3] ---------------- = ------------- [13, 10, 5] [13, 10] [12, 2, 5, 0, 9] [12, 2, 0, 9] ---------------- = ------------- [13, 10, 5] [13, 10] denominator=, [13, 13, 4] [8, 7, 4, 1, 10] [8, 7, 1, 10] ---------------- = ------------- [13, 13, 4] [13, 13] denominator=, [13, 13, 8] [4, 2, 8, 6, 0] [4, 2, 6, 0] --------------- = ------------ [13, 13, 8] [13, 13] [9, 0, 8, 3, 0] [9, 0, 3, 0] --------------- = ------------ [13, 13, 8] [13, 13] denominator=, [13, 14, 11] [2, 1, 11, 10, 0] [2, 1, 10, 0] ----------------- = ------------- [13, 14, 11] [13, 14] [8, 0, 11, 5, 0] [8, 0, 5, 0] ---------------- = ------------ [13, 14, 11] [13, 14] denominator=, [14, 0, 3] [6, 11, 3, 1, 10] [6, 11, 1, 10] ----------------- = -------------- [14, 0, 3] [14, 0] denominator=, [14, 0, 12] [8, 8, 12, 5, 0] [8, 8, 5, 0] ---------------- = ------------ [14, 0, 12] [14, 0] denominator=, [14, 2, 8] [5, 13, 8, 5, 0] [5, 13, 5, 0] ---------------- = ------------- [14, 2, 8] [14, 2] denominator=, [14, 2, 12] [4, 3, 12, 9, 0] [4, 3, 9, 0] ---------------- = ------------ [14, 2, 12] [14, 2] denominator=, [14, 4, 4] [4, 4, 4, 3] [4, 4, 3] ------------ = --------- [14, 4, 4] [14, 4] [1, 9, 4, 3, 12] [1, 9, 3, 12] ---------------- = ------------- [14, 4, 4] [14, 4] [2, 14, 4, 3, 6] [2, 14, 3, 6] ---------------- = ------------- [14, 4, 4] [14, 4] [4, 4, 4, 3, 0] [4, 4, 3, 0] --------------- = ------------ [14, 4, 4] [14, 4] [5, 9, 4, 2, 9] [5, 9, 2, 9] --------------- = ------------ [14, 4, 4] [14, 4] [6, 14, 4, 2, 3] [6, 14, 2, 3] ---------------- = ------------- [14, 4, 4] [14, 4] [8, 4, 4, 1, 12] [8, 4, 1, 12] ---------------- = ------------- [14, 4, 4] [14, 4] [9, 9, 4, 1, 6] [9, 9, 1, 6] --------------- = ------------ [14, 4, 4] [14, 4] [10, 14, 4, 1, 0] [10, 14, 1, 0] ----------------- = -------------- [14, 4, 4] [14, 4] [12, 4, 4, 0, 9] [12, 4, 0, 9] ---------------- = ------------- [14, 4, 4] [14, 4] [13, 9, 4, 0, 3] [13, 9, 0, 3] ---------------- = ------------- [14, 4, 4] [14, 4] denominator=, [14, 8, 8] [2, 1, 8, 7, 5] [2, 1, 7, 5] --------------- = ------------ [14, 8, 8] [14, 8] [4, 5, 8, 6, 0] [4, 5, 6, 0] --------------- = ------------ [14, 8, 8] [14, 8] [6, 9, 8, 4, 10] [6, 9, 4, 10] ---------------- = ------------- [14, 8, 8] [14, 8] [8, 13, 8, 3, 5] [8, 13, 3, 5] ---------------- = ------------- [14, 8, 8] [14, 8] [11, 2, 8, 2, 0] [11, 2, 2, 0] ---------------- = ------------- [14, 8, 8] [14, 8] [13, 6, 8, 0, 10] [13, 6, 0, 10] ----------------- = -------------- [14, 8, 8] [14, 8] denominator=, [14, 9, 12] [7, 0, 12, 6, 10] [7, 0, 6, 10] ----------------- = ------------- [14, 9, 12] [14, 9] [10, 12, 12, 3, 5] [10, 12, 3, 5] ------------------ = -------------- [14, 9, 12] [14, 9] denominator=, [14, 12, 12] [4, 6, 12, 9, 0] [4, 6, 9, 0] ---------------- = ------------ [14, 12, 12] [14, 12] [11, 5, 12, 3, 0] [11, 5, 3, 0] ----------------- = ------------- [14, 12, 12] [14, 12] denominator=, [14, 14, 4] [4, 7, 4, 3, 0] [4, 7, 3, 0] --------------- = ------------ [14, 14, 4] [14, 14] denominator=, [14, 14, 8] [6, 3, 8, 5, 0] [6, 3, 5, 0] --------------- = ------------ [14, 14, 8] [14, 14] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 3] [2, 7] [2] --------- = ------ [1, 7, 3] [1, 3] denominator=, [1, 7, 5] [4, 7] [4] --------- = ------ [1, 7, 5] [1, 5] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 5] [2, 14] [2] ---------- = ------ [1, 14, 5] [1, 5] denominator=, [1, 14, 9] [4, 14] [4] ---------- = ------ [1, 14, 9] [1, 9] denominator=, [1, 14, 10] [5, 14] [5] ----------- = ------- [1, 14, 10] [1, 10] denominator=, [1, 14, 12] [9, 14] [9] ----------- = ------- [1, 14, 12] [1, 12] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 7, 6] [12, 7] [12] --------- = ------ [2, 7, 6] [2, 6] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 6] [4, 14] [4] ---------- = ------ [2, 14, 6] [2, 6] denominator=, [2, 14, 10] [8, 14] [8] ----------- = ------- [2, 14, 10] [2, 10] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [1, 0, 6] [1, 0] --------- = ------ [3, 6, 5] [3, 5] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 7, 5] [10, 7] [10] --------- = ------ [3, 7, 5] [3, 5] denominator=, [3, 7, 6] [1, 2, 7] [1, 2] --------- = ------ [3, 7, 6] [3, 6] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 3] [4, 14] [4] ---------- = ------ [3, 14, 3] [3, 3] denominator=, [3, 14, 5] [5, 14] [5] ---------- = ------ [3, 14, 5] [3, 5] denominator=, [3, 14, 9] [9, 14] [9] ---------- = ------ [3, 14, 9] [3, 9] denominator=, [3, 14, 10] [11, 14] [11] ----------- = ------- [3, 14, 10] [3, 10] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 14, 12] [1, 4, 14] [1, 4] ----------- = ------- [3, 14, 12] [3, 12] denominator=, [3, 14, 13] [1, 14, 14] [1, 14] ----------- = ------- [3, 14, 13] [3, 13] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [14, 4] [14] --------- = ------ [4, 4, 3] [4, 3] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 7, 5] [13, 7] [13] --------- = ------ [4, 7, 5] [4, 5] denominator=, [4, 7, 6] [1, 7, 7] [1, 7] --------- = ------ [4, 7, 6] [4, 6] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 12, 10] [1, 6, 12] [1, 6] ----------- = ------- [4, 12, 10] [4, 10] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 14, 12] [1, 9, 14] [1, 9] ----------- = ------- [4, 14, 12] [4, 12] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 6, 5] [1, 9, 6] [1, 9] --------- = ------ [5, 6, 5] [5, 5] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 7, 5] [1, 1, 7] [1, 1] --------- = ------ [5, 7, 5] [5, 5] denominator=, [5, 7, 6] [1, 12, 7] [1, 12] ---------- = ------- [5, 7, 6] [5, 6] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 8, 6] [1, 3, 8] [1, 3] --------- = ------ [5, 8, 6] [5, 6] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 10, 9] [2, 5, 10] [2, 5] ---------- = ------ [5, 10, 9] [5, 9] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 5] [8, 14] [8] ---------- = ------ [5, 14, 5] [5, 5] denominator=, [5, 14, 6] [9, 14] [9] ---------- = ------ [5, 14, 6] [5, 6] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 14, 10] [1, 2, 14] [1, 2] ----------- = ------- [5, 14, 10] [5, 10] denominator=, [5, 14, 12] [1, 14, 14] [1, 14] ----------- = ------- [5, 14, 12] [5, 12] denominator=, [5, 14, 13] [2, 14, 14] [2, 14] ----------- = ------- [5, 14, 13] [5, 13] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 7, 5] [1, 4, 7] [1, 4] --------- = ------ [6, 7, 5] [6, 5] denominator=, [6, 7, 6] [2, 2, 7] [2, 2] --------- = ------ [6, 7, 6] [6, 6] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 11, 10] [2, 14, 11] [2, 14] ----------- = ------- [6, 11, 10] [6, 10] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 12, 9] [1, 7, 12] [1, 7] ---------- = ------ [6, 12, 9] [6, 9] denominator=, [6, 12, 10] [2, 0, 12] [2, 0] ----------- = ------- [6, 12, 10] [6, 10] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 14, 10] [1, 5, 14] [1, 5] ----------- = ------- [6, 14, 10] [6, 10] denominator=, [6, 14, 12] [2, 4, 14] [2, 4] ----------- = ------- [6, 14, 12] [6, 12] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 4, 3] [1, 9, 4] [1, 9] --------- = ------ [7, 4, 3] [7, 3] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 6, 5] [2, 3, 6] [2, 3] --------- = ------ [7, 6, 5] [7, 5] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 3] [12, 7] [12] --------- = ------ [7, 7, 3] [7, 3] denominator=, [7, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 5] [7, 5] denominator=, [7, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [7, 7, 6] [7, 6] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 3] [9, 14] [9] ---------- = ------ [7, 14, 3] [7, 3] denominator=, [7, 14, 5] [11, 14] [11] ---------- = ------ [7, 14, 5] [7, 5] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 14, 9] [1, 4, 14] [1, 4] ---------- = ------ [7, 14, 9] [7, 9] denominator=, [7, 14, 10] [1, 8, 14] [1, 8] ----------- = ------- [7, 14, 10] [7, 10] denominator=, [7, 14, 11] [1, 14, 14] [1, 14] ----------- = ------- [7, 14, 11] [7, 11] denominator=, [7, 14, 12] [2, 9, 14] [2, 9] ----------- = ------- [7, 14, 12] [7, 12] denominator=, [7, 14, 13] [3, 14, 14] [3, 14] ----------- = ------- [7, 14, 13] [7, 13] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 7, 5] [1, 10, 7] [1, 10] ---------- = ------- [8, 7, 5] [8, 5] denominator=, [8, 7, 6] [2, 12, 7] [2, 12] ---------- = ------- [8, 7, 6] [8, 6] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 8, 5] [1, 5, 8] [1, 5] --------- = ------ [8, 8, 5] [8, 5] denominator=, [8, 8, 6] [1, 13, 8] [1, 13] ---------- = ------- [8, 8, 6] [8, 6] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 12, 10] [2, 9, 12] [2, 9] ----------- = ------- [8, 12, 10] [8, 10] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 14, 10] [1, 11, 14] [1, 11] ----------- = ------- [8, 14, 10] [8, 10] denominator=, [8, 14, 12] [2, 14, 14] [2, 14] ----------- = ------- [8, 14, 12] [8, 12] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [9, 2, 1] [9, 1] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 6, 5] [2, 12, 6] [2, 12] ---------- = ------- [9, 6, 5] [9, 5] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 7, 5] [1, 13, 7] [1, 13] ---------- = ------- [9, 7, 5] [9, 5] denominator=, [9, 7, 6] [3, 2, 7] [3, 2] --------- = ------ [9, 7, 6] [9, 6] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 10, 9] [4, 0, 10] [4, 0] ---------- = ------ [9, 10, 9] [9, 9] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 12, 9] [2, 2, 12] [2, 2] ---------- = ------ [9, 12, 9] [9, 9] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 14, 9] [1, 9, 14] [1, 9] ---------- = ------ [9, 14, 9] [9, 9] denominator=, [9, 14, 10] [1, 14, 14] [1, 14] ----------- = ------- [9, 14, 10] [9, 10] denominator=, [9, 14, 12] [3, 4, 14] [3, 4] ----------- = ------- [9, 14, 12] [9, 12] denominator=, [9, 14, 13] [4, 14, 14] [4, 14] ----------- = ------- [9, 14, 13] [9, 13] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [10, 4, 2] [10, 2] denominator=, [10, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [10, 4, 3] [10, 3] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 7, 3] [1, 2, 7] [1, 2] ---------- = ------- [10, 7, 3] [10, 3] denominator=, [10, 7, 4] [1, 7, 7] [1, 7] ---------- = ------- [10, 7, 4] [10, 4] denominator=, [10, 7, 5] [2, 1, 7] [2, 1] ---------- = ------- [10, 7, 5] [10, 5] denominator=, [10, 7, 6] [3, 7, 7] [3, 7] ---------- = ------- [10, 7, 6] [10, 6] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 12, 10] [3, 3, 12] [3, 3] ------------ = -------- [10, 12, 10] [10, 10] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 13, 12] [5, 3, 13] [5, 3] ------------ = -------- [10, 13, 12] [10, 12] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 14, 10] [2, 2, 14] [2, 2] ------------ = -------- [10, 14, 10] [10, 10] denominator=, [10, 14, 12] [3, 9, 14] [3, 9] ------------ = -------- [10, 14, 12] [10, 12] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [11, 6, 3] [11, 3] denominator=, [11, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [11, 6, 5] [11, 5] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 7, 5] [2, 4, 7] [2, 4] ---------- = ------- [11, 7, 5] [11, 5] denominator=, [11, 7, 6] [3, 12, 7] [3, 12] ---------- = ------- [11, 7, 6] [11, 6] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [11, 8, 6] [11, 6] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 11, 10] [5, 2, 11] [5, 2] ------------ = -------- [11, 11, 10] [11, 10] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 14, 5] [1, 2, 14] [1, 2] ----------- = ------- [11, 14, 5] [11, 5] denominator=, [11, 14, 6] [1, 4, 14] [1, 4] ----------- = ------- [11, 14, 6] [11, 6] denominator=, [11, 14, 9] [1, 14, 14] [1, 14] ----------- = ------- [11, 14, 9] [11, 9] denominator=, [11, 14, 10] [2, 5, 14] [2, 5] ------------ = -------- [11, 14, 10] [11, 10] denominator=, [11, 14, 11] [2, 14, 14] [2, 14] ------------ = -------- [11, 14, 11] [11, 11] denominator=, [11, 14, 12] [3, 14, 14] [3, 14] ------------ = -------- [11, 14, 12] [11, 12] denominator=, [11, 14, 13] [5, 14, 14] [5, 14] ------------ = -------- [11, 14, 13] [11, 13] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 7, 5] [2, 7, 7] [2, 7] ---------- = ------- [12, 7, 5] [12, 5] denominator=, [12, 7, 6] [4, 2, 7] [4, 2] ---------- = ------- [12, 7, 6] [12, 6] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [12, 8, 4] [12, 4] denominator=, [12, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [12, 8, 7] [12, 7] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [12, 12, 10] [12, 10] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 14, 10] [2, 8, 14] [2, 8] ------------ = -------- [12, 14, 10] [12, 10] denominator=, [12, 14, 12] [4, 4, 14] [4, 4] ------------ = -------- [12, 14, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 4, 3] [2, 14, 4] [2, 14] ---------- = ------- [13, 4, 3] [13, 3] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 5, 3] [2, 0, 5] [2, 0] ---------- = ------- [13, 5, 3] [13, 3] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 6, 5] [4, 0, 6] [4, 0] ---------- = ------- [13, 6, 5] [13, 5] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 7, 3] [1, 7, 7] [1, 7] ---------- = ------- [13, 7, 3] [13, 3] denominator=, [13, 7, 5] [2, 10, 7] [2, 10] ---------- = ------- [13, 7, 5] [13, 5] denominator=, [13, 7, 6] [4, 7, 7] [4, 7] ---------- = ------- [13, 7, 6] [13, 6] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 8, 5] [2, 2, 8] [2, 2] ---------- = ------- [13, 8, 5] [13, 5] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [13, 10, 5] [13, 5] denominator=, [13, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [13, 10, 9] [13, 9] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 14, 5] [1, 5, 14] [1, 5] ----------- = ------- [13, 14, 5] [13, 5] denominator=, [13, 14, 8] [1, 14, 14] [1, 14] ----------- = ------- [13, 14, 8] [13, 8] denominator=, [13, 14, 9] [2, 4, 14] [2, 4] ----------- = ------- [13, 14, 9] [13, 9] denominator=, [13, 14, 10] [2, 11, 14] [2, 11] ------------ = -------- [13, 14, 10] [13, 10] denominator=, [13, 14, 12] [4, 9, 14] [4, 9] ------------ = -------- [13, 14, 12] [13, 12] denominator=, [13, 14, 13] [6, 14, 14] [6, 14] ------------ = -------- [13, 14, 13] [13, 13] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 7, 5] [2, 13, 7] [2, 13] ---------- = ------- [14, 7, 5] [14, 5] denominator=, [14, 7, 6] [4, 12, 7] [4, 12] ---------- = ------- [14, 7, 6] [14, 6] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 8, 6] [3, 3, 8] [3, 3] ---------- = ------- [14, 8, 6] [14, 6] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [14, 12, 6] [14, 6] denominator=, [14, 12, 10] [4, 6, 12] [4, 6] ------------ = -------- [14, 12, 10] [14, 10] denominator=, [14, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [14, 12, 11] [14, 11] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 13, 10] [3, 7, 13] [3, 7] ------------ = -------- [14, 13, 10] [14, 10] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 14, 6] [1, 9, 14] [1, 9] ----------- = ------- [14, 14, 6] [14, 6] denominator=, [14, 14, 10] [2, 14, 14] [2, 14] ------------ = -------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [4, 14, 14] [4, 14] ------------ = -------- [14, 14, 12] [14, 12] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 7, 0] [7, 5] [5] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 3] [7, 6] [6] --------- = ------ [1, 7, 3] [1, 3] [2, 7, 0] [2, 0] --------- = ------ [1, 7, 3] [1, 3] denominator=, [1, 14, 1] [14, 8] [8] ---------- = ------ [1, 14, 1] [1, 1] denominator=, [1, 14, 3] [14, 9] [9] ---------- = ------ [1, 14, 3] [1, 3] denominator=, [1, 14, 5] [14, 10] [10] ---------- = ------ [1, 14, 5] [1, 5] [2, 14, 0] [2, 0] ---------- = ------ [1, 14, 5] [1, 5] denominator=, [1, 14, 7] [14, 11] [11] ---------- = ------ [1, 14, 7] [1, 7] [2, 14, 3] [2, 3] ---------- = ------ [1, 14, 7] [1, 7] denominator=, [1, 14, 9] [14, 12] [12] ---------- = ------ [1, 14, 9] [1, 9] [2, 14, 6] [2, 6] ---------- = ------ [1, 14, 9] [1, 9] [4, 14, 0] [4, 0] ---------- = ------ [1, 14, 9] [1, 9] denominator=, [1, 14, 11] [14, 13] [13] ----------- = ------- [1, 14, 11] [1, 11] [2, 14, 9] [2, 9] ----------- = ------- [1, 14, 11] [1, 11] [4, 14, 5] [4, 5] ----------- = ------- [1, 14, 11] [1, 11] [6, 14, 1] [6, 1] ----------- = ------- [1, 14, 11] [1, 11] denominator=, [2, 4, 4] [10, 4, 3] [10, 3] ---------- = ------- [2, 4, 4] [2, 4] [1, 11, 4, 1] [1, 11, 1] ------------- = ---------- [2, 4, 4] [2, 4] denominator=, [2, 7, 0] [7, 6] [6] --------- = ------ [2, 7, 0] [2, 0] [1, 7, 3] [1, 3] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 8, 8] [11, 8, 6] [11, 6] ---------- = ------- [2, 8, 8] [2, 8] [1, 14, 8, 2] [1, 14, 2] ------------- = ---------- [2, 8, 8] [2, 8] denominator=, [2, 12, 0] [12, 9] [9] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 12] [12, 12, 9] [12, 9] ----------- = ------- [2, 12, 12] [2, 12] [2, 2, 12, 3] [2, 2, 3] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 0] [14, 10] [10] ---------- = ------ [2, 14, 0] [2, 0] [1, 14, 5] [1, 5] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 3] [14, 11] [11] ---------- = ------ [2, 14, 3] [2, 3] [1, 14, 7] [1, 7] ---------- = ------ [2, 14, 3] [2, 3] denominator=, [2, 14, 6] [14, 12] [12] ---------- = ------ [2, 14, 6] [2, 6] [1, 14, 9] [1, 9] ---------- = ------ [2, 14, 6] [2, 6] [3, 14, 3] [3, 3] ---------- = ------ [2, 14, 6] [2, 6] [4, 14, 0] [4, 0] ---------- = ------ [2, 14, 6] [2, 6] denominator=, [2, 14, 9] [14, 13] [13] ---------- = ------ [2, 14, 9] [2, 9] [1, 14, 11] [1, 11] ----------- = ------- [2, 14, 9] [2, 9] [3, 14, 7] [3, 7] ---------- = ------ [2, 14, 9] [2, 9] [4, 14, 5] [4, 5] ---------- = ------ [2, 14, 9] [2, 9] [6, 14, 1] [6, 1] ---------- = ------ [2, 14, 9] [2, 9] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 5] [1, 0, 6, 0] [1, 0, 0] ------------ = --------- [3, 6, 5] [3, 5] denominator=, [3, 6, 6] [11, 6, 5] [11, 5] ---------- = ------- [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [2, 13, 6, 1] [2, 13, 1] ------------- = ---------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 10, 9] [1, 1, 10, 3] [1, 1, 3] ------------- = --------- [3, 10, 9] [3, 9] denominator=, [3, 12, 0] [12, 10] [10] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 12, 12] [3, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] [3, 3, 12, 2] [3, 3, 2] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 14, 1] [1, 14, 8] [1, 8] ---------- = ------ [3, 14, 1] [3, 1] denominator=, [3, 14, 3] [14, 12] [12] ---------- = ------ [3, 14, 3] [3, 3] [1, 14, 9] [1, 9] ---------- = ------ [3, 14, 3] [3, 3] [2, 14, 6] [2, 6] ---------- = ------ [3, 14, 3] [3, 3] [4, 14, 0] [4, 0] ---------- = ------ [3, 14, 3] [3, 3] denominator=, [3, 14, 5] [1, 14, 10] [1, 10] ----------- = ------- [3, 14, 5] [3, 5] [5, 14, 0] [5, 0] ---------- = ------ [3, 14, 5] [3, 5] denominator=, [3, 14, 7] [14, 13] [13] ---------- = ------ [3, 14, 7] [3, 7] [1, 14, 11] [1, 11] ----------- = ------- [3, 14, 7] [3, 7] [2, 14, 9] [2, 9] ---------- = ------ [3, 14, 7] [3, 7] [4, 14, 5] [4, 5] ---------- = ------ [3, 14, 7] [3, 7] [5, 14, 3] [5, 3] ---------- = ------ [3, 14, 7] [3, 7] [6, 14, 1] [6, 1] ---------- = ------ [3, 14, 7] [3, 7] denominator=, [3, 14, 9] [1, 14, 12] [1, 12] ----------- = ------- [3, 14, 9] [3, 9] [5, 14, 6] [5, 6] ---------- = ------ [3, 14, 9] [3, 9] [9, 14, 0] [9, 0] ---------- = ------ [3, 14, 9] [3, 9] denominator=, [3, 14, 13] [1, 14, 14] [1, 14] ----------- = ------- [3, 14, 13] [3, 13] [5, 14, 12] [5, 12] ----------- = ------- [3, 14, 13] [3, 13] [9, 14, 10] [9, 10] ----------- = ------- [3, 14, 13] [3, 13] [13, 14, 8] [13, 8] ----------- = ------- [3, 14, 13] [3, 13] [1, 2, 14, 6] [1, 2, 6] ------------- = --------- [3, 14, 13] [3, 13] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [3, 14, 13] [3, 13] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [3, 14, 13] [3, 13] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [3, 14, 13] [3, 13] denominator=, [4, 4, 3] [14, 4, 0] [14, 0] ---------- = ------- [4, 4, 3] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 7, 0] [1, 7, 5] [1, 5] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 6] [1, 7, 7] [1, 7] --------- = ------ [4, 7, 6] [4, 6] [7, 7, 5] [7, 5] --------- = ------ [4, 7, 6] [4, 6] [10, 7, 4] [10, 4] ---------- = ------- [4, 7, 6] [4, 6] [1, 1, 7, 2] [1, 1, 2] ------------ = --------- [4, 7, 6] [4, 6] [1, 4, 7, 1] [1, 4, 1] ------------ = --------- [4, 7, 6] [4, 6] denominator=, [4, 8, 8] [12, 8, 7] [12, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [1, 13, 8, 5] [1, 13, 5] ------------- = ---------- [4, 8, 8] [4, 8] [2, 14, 8, 3] [2, 14, 3] ------------- = ---------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [4, 0, 8, 1] [4, 0, 1] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 9] [1, 0, 10, 5] [1, 0, 5] ------------- = --------- [4, 10, 9] [4, 9] [1, 11, 10, 1] [1, 11, 1] -------------- = ---------- [4, 10, 9] [4, 9] denominator=, [4, 12, 10] [1, 6, 12, 0] [1, 6, 0] ------------- = --------- [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 13, 12] [1, 12, 13, 3] [1, 12, 3] -------------- = ---------- [4, 13, 12] [4, 12] denominator=, [4, 14, 0] [14, 12] [12] ---------- = ------ [4, 14, 0] [4, 0] [1, 14, 9] [1, 9] ---------- = ------ [4, 14, 0] [4, 0] [2, 14, 6] [2, 6] ---------- = ------ [4, 14, 0] [4, 0] [3, 14, 3] [3, 3] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 5] [14, 13] [13] ---------- = ------ [4, 14, 5] [4, 5] [1, 14, 11] [1, 11] ----------- = ------- [4, 14, 5] [4, 5] [2, 14, 9] [2, 9] ---------- = ------ [4, 14, 5] [4, 5] [3, 14, 7] [3, 7] ---------- = ------ [4, 14, 5] [4, 5] [5, 14, 3] [5, 3] ---------- = ------ [4, 14, 5] [4, 5] [6, 14, 1] [6, 1] ---------- = ------ [4, 14, 5] [4, 5] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 6, 5] [1, 9, 6, 0] [1, 9, 0] ------------ = --------- [5, 6, 5] [5, 5] denominator=, [5, 8, 6] [1, 3, 8, 0] [1, 3, 0] ------------ = --------- [5, 8, 6] [5, 6] denominator=, [5, 10, 9] [1, 0, 10, 6] [1, 0, 6] ------------- = --------- [5, 10, 9] [5, 9] [1, 10, 10, 3] [1, 10, 3] -------------- = ---------- [5, 10, 9] [5, 9] [2, 5, 10, 0] [2, 5, 0] ------------- = --------- [5, 10, 9] [5, 9] denominator=, [5, 10, 10] [13, 10, 9] [13, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 14, 10, 7] [1, 14, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 1, 10, 3] [4, 1, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 2, 10, 1] [5, 2, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 14, 0] [1, 14, 10] [1, 10] ----------- = ------- [5, 14, 0] [5, 0] [3, 14, 5] [3, 5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 1] [2, 14, 8] [2, 8] ---------- = ------ [5, 14, 1] [5, 1] denominator=, [5, 14, 3] [14, 13] [13] ---------- = ------ [5, 14, 3] [5, 3] [1, 14, 11] [1, 11] ----------- = ------- [5, 14, 3] [5, 3] [2, 14, 9] [2, 9] ---------- = ------ [5, 14, 3] [5, 3] [3, 14, 7] [3, 7] ---------- = ------ [5, 14, 3] [5, 3] [4, 14, 5] [4, 5] ---------- = ------ [5, 14, 3] [5, 3] [6, 14, 1] [6, 1] ---------- = ------ [5, 14, 3] [5, 3] denominator=, [5, 14, 5] [2, 14, 10] [2, 10] ----------- = ------- [5, 14, 5] [5, 5] [8, 14, 0] [8, 0] ---------- = ------ [5, 14, 5] [5, 5] denominator=, [5, 14, 6] [1, 14, 12] [1, 12] ----------- = ------- [5, 14, 6] [5, 6] [3, 14, 9] [3, 9] ---------- = ------ [5, 14, 6] [5, 6] [7, 14, 3] [7, 3] ---------- = ------ [5, 14, 6] [5, 6] [9, 14, 0] [9, 0] ---------- = ------ [5, 14, 6] [5, 6] denominator=, [5, 14, 7] [2, 14, 11] [2, 11] ----------- = ------- [5, 14, 7] [5, 7] [8, 14, 3] [8, 3] ---------- = ------ [5, 14, 7] [5, 7] denominator=, [5, 14, 11] [2, 14, 13] [2, 13] ----------- = ------- [5, 14, 11] [5, 11] [8, 14, 9] [8, 9] ----------- = ------- [5, 14, 11] [5, 11] [14, 14, 5] [14, 5] ----------- = ------- [5, 14, 11] [5, 11] [1, 5, 14, 1] [1, 5, 1] ------------- = --------- [5, 14, 11] [5, 11] denominator=, [5, 14, 12] [1, 14, 14] [1, 14] ----------- = ------- [5, 14, 12] [5, 12] [3, 14, 13] [3, 13] ----------- = ------- [5, 14, 12] [5, 12] [7, 14, 11] [7, 11] ----------- = ------- [5, 14, 12] [5, 12] [9, 14, 10] [9, 10] ----------- = ------- [5, 14, 12] [5, 12] [13, 14, 8] [13, 8] ----------- = ------- [5, 14, 12] [5, 12] [1, 0, 14, 7] [1, 0, 7] ------------- = --------- [5, 14, 12] [5, 12] [1, 4, 14, 5] [1, 4, 5] ------------- = --------- [5, 14, 12] [5, 12] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [5, 14, 12] [5, 12] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [5, 14, 12] [5, 12] [1, 12, 14, 1] [1, 12, 1] -------------- = ---------- [5, 14, 12] [5, 12] denominator=, [5, 14, 13] [2, 14, 14] [2, 14] ----------- = ------- [5, 14, 13] [5, 13] [8, 14, 12] [8, 12] ----------- = ------- [5, 14, 13] [5, 13] [14, 14, 10] [14, 10] ------------ = -------- [5, 14, 13] [5, 13] [1, 5, 14, 8] [1, 5, 8] ------------- = --------- [5, 14, 13] [5, 13] [1, 11, 14, 6] [1, 11, 6] -------------- = ---------- [5, 14, 13] [5, 13] [2, 2, 14, 4] [2, 2, 4] ------------- = --------- [5, 14, 13] [5, 13] [2, 8, 14, 2] [2, 8, 2] ------------- = --------- [5, 14, 13] [5, 13] [2, 14, 14, 0] [2, 14, 0] -------------- = ---------- [5, 14, 13] [5, 13] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [1, 13, 4, 3] [1, 13, 3] ------------- = ---------- [6, 4, 4] [6, 4] [4, 12, 4, 1] [4, 12, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 6, 5] [1, 0, 6, 3] [1, 0, 3] ------------ = --------- [6, 6, 5] [6, 5] [1, 9, 6, 1] [1, 9, 1] ------------ = --------- [6, 6, 5] [6, 5] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [1, 14, 8, 6] [1, 14, 6] ------------- = ---------- [6, 8, 8] [6, 8] [5, 0, 8, 2] [5, 0, 2] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 11, 10] [1, 10, 11, 5] [1, 10, 5] -------------- = ---------- [6, 11, 10] [6, 10] [2, 14, 11, 0] [2, 14, 0] -------------- = ---------- [6, 11, 10] [6, 10] denominator=, [6, 12, 9] [1, 7, 12, 0] [1, 7, 0] ------------- = --------- [6, 12, 9] [6, 9] denominator=, [6, 12, 10] [1, 3, 12, 5] [1, 3, 5] ------------- = --------- [6, 12, 10] [6, 10] [2, 0, 12, 0] [2, 0, 0] ------------- = --------- [6, 12, 10] [6, 10] denominator=, [6, 12, 12] [14, 12, 11] [14, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 0, 12, 9] [2, 0, 9] ------------- = --------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 1, 12, 7] [3, 1, 7] ------------- = --------- [6, 12, 12] [6, 12] [4, 2, 12, 5] [4, 2, 5] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 3, 12, 3] [5, 3, 3] ------------- = --------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] [6, 4, 12, 1] [6, 4, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 14, 1] [14, 13] [13] ---------- = ------ [6, 14, 1] [6, 1] [1, 14, 11] [1, 11] ----------- = ------- [6, 14, 1] [6, 1] [2, 14, 9] [2, 9] ---------- = ------ [6, 14, 1] [6, 1] [3, 14, 7] [3, 7] ---------- = ------ [6, 14, 1] [6, 1] [4, 14, 5] [4, 5] ---------- = ------ [6, 14, 1] [6, 1] [5, 14, 3] [5, 3] ---------- = ------ [6, 14, 1] [6, 1] denominator=, [7, 4, 3] [1, 9, 4, 0] [1, 9, 0] ------------ = --------- [7, 4, 3] [7, 3] denominator=, [7, 6, 5] [2, 3, 6, 0] [2, 3, 0] ------------ = --------- [7, 6, 5] [7, 5] denominator=, [7, 7, 3] [2, 7, 6] [2, 6] --------- = ------ [7, 7, 3] [7, 3] [12, 7, 0] [12, 0] ---------- = ------- [7, 7, 3] [7, 3] denominator=, [7, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 5] [7, 5] [4, 7, 6] [4, 6] --------- = ------ [7, 7, 5] [7, 5] [10, 7, 4] [10, 4] ---------- = ------- [7, 7, 5] [7, 5] [13, 7, 3] [13, 3] ---------- = ------- [7, 7, 5] [7, 5] [1, 1, 7, 2] [1, 1, 2] ------------ = --------- [7, 7, 5] [7, 5] [1, 4, 7, 1] [1, 4, 1] ------------ = --------- [7, 7, 5] [7, 5] denominator=, [7, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [7, 7, 6] [7, 6] [12, 7, 5] [12, 5] ---------- = ------- [7, 7, 6] [7, 6] [1, 2, 7, 4] [1, 2, 4] ------------ = --------- [7, 7, 6] [7, 6] [1, 12, 7, 2] [1, 12, 2] ------------- = ---------- [7, 7, 6] [7, 6] [2, 2, 7, 1] [2, 2, 1] ------------ = --------- [7, 7, 6] [7, 6] denominator=, [7, 10, 9] [1, 1, 10, 7] [1, 1, 7] ------------- = --------- [7, 10, 9] [7, 9] [1, 10, 10, 5] [1, 10, 5] -------------- = ---------- [7, 10, 9] [7, 9] [2, 4, 10, 3] [2, 4, 3] ------------- = --------- [7, 10, 9] [7, 9] [2, 13, 10, 1] [2, 13, 1] -------------- = ---------- [7, 10, 9] [7, 9] denominator=, [7, 12, 10] [1, 3, 12, 6] [1, 3, 6] ------------- = --------- [7, 12, 10] [7, 10] [1, 14, 12, 2] [1, 14, 2] -------------- = ---------- [7, 12, 10] [7, 10] denominator=, [7, 13, 12] [2, 14, 13, 3] [2, 14, 3] -------------- = ---------- [7, 13, 12] [7, 12] denominator=, [7, 14, 1] [3, 14, 8] [3, 8] ---------- = ------ [7, 14, 1] [7, 1] denominator=, [7, 14, 3] [1, 14, 12] [1, 12] ----------- = ------- [7, 14, 3] [7, 3] [3, 14, 9] [3, 9] ---------- = ------ [7, 14, 3] [7, 3] [5, 14, 6] [5, 6] ---------- = ------ [7, 14, 3] [7, 3] [9, 14, 0] [9, 0] ---------- = ------ [7, 14, 3] [7, 3] denominator=, [7, 14, 5] [3, 14, 10] [3, 10] ----------- = ------- [7, 14, 5] [7, 5] [11, 14, 0] [11, 0] ----------- = ------- [7, 14, 5] [7, 5] denominator=, [7, 14, 9] [3, 14, 12] [3, 12] ----------- = ------- [7, 14, 9] [7, 9] [11, 14, 6] [11, 6] ----------- = ------- [7, 14, 9] [7, 9] [1, 4, 14, 0] [1, 4, 0] ------------- = --------- [7, 14, 9] [7, 9] denominator=, [7, 14, 11] [1, 14, 14] [1, 14] ----------- = ------- [7, 14, 11] [7, 11] [3, 14, 13] [3, 13] ----------- = ------- [7, 14, 11] [7, 11] [5, 14, 12] [5, 12] ----------- = ------- [7, 14, 11] [7, 11] [9, 14, 10] [9, 10] ----------- = ------- [7, 14, 11] [7, 11] [11, 14, 9] [11, 9] ----------- = ------- [7, 14, 11] [7, 11] [13, 14, 8] [13, 8] ----------- = ------- [7, 14, 11] [7, 11] [1, 2, 14, 6] [1, 2, 6] ------------- = --------- [7, 14, 11] [7, 11] [1, 4, 14, 5] [1, 4, 5] ------------- = --------- [7, 14, 11] [7, 11] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [7, 14, 11] [7, 11] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [7, 14, 11] [7, 11] [1, 12, 14, 1] [1, 12, 1] -------------- = ---------- [7, 14, 11] [7, 11] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [7, 14, 11] [7, 11] denominator=, [7, 14, 13] [3, 14, 14] [3, 14] ----------- = ------- [7, 14, 13] [7, 13] [11, 14, 12] [11, 12] ------------ = -------- [7, 14, 13] [7, 13] [1, 4, 14, 10] [1, 4, 10] -------------- = ---------- [7, 14, 13] [7, 13] [1, 12, 14, 8] [1, 12, 8] -------------- = ---------- [7, 14, 13] [7, 13] [2, 5, 14, 6] [2, 5, 6] ------------- = --------- [7, 14, 13] [7, 13] [2, 13, 14, 4] [2, 13, 4] -------------- = ---------- [7, 14, 13] [7, 13] [3, 6, 14, 2] [3, 6, 2] ------------- = --------- [7, 14, 13] [7, 13] [3, 14, 14, 0] [3, 14, 0] -------------- = ---------- [7, 14, 13] [7, 13] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 8, 5] [1, 5, 8, 0] [1, 5, 0] ------------ = --------- [8, 8, 5] [8, 5] denominator=, [8, 8, 6] [1, 3, 8, 3] [1, 3, 3] ------------ = --------- [8, 8, 6] [8, 6] [1, 13, 8, 0] [1, 13, 0] ------------- = ---------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 12, 10] [2, 9, 12, 0] [2, 9, 0] ------------- = --------- [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 0] [2, 14, 10] [2, 10] ----------- = ------- [8, 14, 0] [8, 0] [5, 14, 5] [5, 5] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 3] [2, 14, 11] [2, 11] ----------- = ------- [8, 14, 3] [8, 3] [5, 14, 7] [5, 7] ---------- = ------ [8, 14, 3] [8, 3] denominator=, [8, 14, 9] [2, 14, 13] [2, 13] ----------- = ------- [8, 14, 9] [8, 9] [5, 14, 11] [5, 11] ----------- = ------- [8, 14, 9] [8, 9] [11, 14, 7] [11, 7] ----------- = ------- [8, 14, 9] [8, 9] [14, 14, 5] [14, 5] ----------- = ------- [8, 14, 9] [8, 9] [1, 5, 14, 1] [1, 5, 1] ------------- = --------- [8, 14, 9] [8, 9] denominator=, [8, 14, 12] [2, 14, 14] [2, 14] ----------- = ------- [8, 14, 12] [8, 12] [5, 14, 13] [5, 13] ----------- = ------- [8, 14, 12] [8, 12] [11, 14, 11] [11, 11] ------------ = -------- [8, 14, 12] [8, 12] [14, 14, 10] [14, 10] ------------ = -------- [8, 14, 12] [8, 12] [1, 5, 14, 8] [1, 5, 8] ------------- = --------- [8, 14, 12] [8, 12] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [8, 14, 12] [8, 12] [1, 14, 14, 5] [1, 14, 5] -------------- = ---------- [8, 14, 12] [8, 12] [2, 2, 14, 4] [2, 2, 4] ------------- = --------- [8, 14, 12] [8, 12] [2, 8, 14, 2] [2, 8, 2] ------------- = --------- [8, 14, 12] [8, 12] [2, 11, 14, 1] [2, 11, 1] -------------- = ---------- [8, 14, 12] [8, 12] denominator=, [9, 2, 1] [1, 2, 2] [1, 2] --------- = ------ [9, 2, 1] [9, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [9, 2, 1] [9, 1] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 5] [2, 12, 6, 0] [2, 12, 0] ------------- = ---------- [9, 6, 5] [9, 5] denominator=, [9, 6, 6] [2, 1, 6, 5] [2, 1, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [7, 14, 6, 1] [7, 14, 1] ------------- = ---------- [9, 6, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 9] [1, 11, 10, 6] [1, 11, 6] -------------- = ---------- [9, 10, 9] [9, 9] [2, 13, 10, 3] [2, 13, 3] -------------- = ---------- [9, 10, 9] [9, 9] [4, 0, 10, 0] [4, 0, 0] ------------- = --------- [9, 10, 9] [9, 9] denominator=, [9, 12, 9] [2, 2, 12, 0] [2, 2, 0] ------------- = --------- [9, 12, 9] [9, 9] denominator=, [9, 12, 12] [2, 2, 12, 10] [2, 2, 10] -------------- = ---------- [9, 12, 12] [9, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] [8, 4, 12, 2] [8, 4, 2] ------------- = --------- [9, 12, 12] [9, 12] denominator=, [9, 14, 0] [1, 14, 12] [1, 12] ----------- = ------- [9, 14, 0] [9, 0] [3, 14, 9] [3, 9] ---------- = ------ [9, 14, 0] [9, 0] [5, 14, 6] [5, 6] ---------- = ------ [9, 14, 0] [9, 0] [7, 14, 3] [7, 3] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 1] [4, 14, 8] [4, 8] ---------- = ------ [9, 14, 1] [9, 1] denominator=, [9, 14, 3] [4, 14, 9] [4, 9] ---------- = ------ [9, 14, 3] [9, 3] denominator=, [9, 14, 7] [4, 14, 11] [4, 11] ----------- = ------- [9, 14, 7] [9, 7] [14, 14, 3] [14, 3] ----------- = ------- [9, 14, 7] [9, 7] denominator=, [9, 14, 9] [4, 14, 12] [4, 12] ----------- = ------- [9, 14, 9] [9, 9] [14, 14, 6] [14, 6] ----------- = ------- [9, 14, 9] [9, 9] [1, 9, 14, 0] [1, 9, 0] ------------- = --------- [9, 14, 9] [9, 9] denominator=, [9, 14, 10] [1, 14, 14] [1, 14] ----------- = ------- [9, 14, 10] [9, 10] [3, 14, 13] [3, 13] ----------- = ------- [9, 14, 10] [9, 10] [5, 14, 12] [5, 12] ----------- = ------- [9, 14, 10] [9, 10] [7, 14, 11] [7, 11] ----------- = ------- [9, 14, 10] [9, 10] [11, 14, 9] [11, 9] ----------- = ------- [9, 14, 10] [9, 10] [13, 14, 8] [13, 8] ----------- = ------- [9, 14, 10] [9, 10] [1, 0, 14, 7] [1, 0, 7] ------------- = --------- [9, 14, 10] [9, 10] [1, 2, 14, 6] [1, 2, 6] ------------- = --------- [9, 14, 10] [9, 10] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [9, 14, 10] [9, 10] [1, 8, 14, 3] [1, 8, 3] ------------- = --------- [9, 14, 10] [9, 10] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [9, 14, 10] [9, 10] [1, 12, 14, 1] [1, 12, 1] -------------- = ---------- [9, 14, 10] [9, 10] denominator=, [9, 14, 11] [4, 14, 13] [4, 13] ----------- = ------- [9, 14, 11] [9, 11] [14, 14, 9] [14, 9] ----------- = ------- [9, 14, 11] [9, 11] [1, 9, 14, 5] [1, 9, 5] ------------- = --------- [9, 14, 11] [9, 11] [2, 4, 14, 1] [2, 4, 1] ------------- = --------- [9, 14, 11] [9, 11] denominator=, [9, 14, 13] [4, 14, 14] [4, 14] ----------- = ------- [9, 14, 13] [9, 13] [14, 14, 12] [14, 12] ------------ = -------- [9, 14, 13] [9, 13] [1, 9, 14, 10] [1, 9, 10] -------------- = ---------- [9, 14, 13] [9, 13] [2, 4, 14, 8] [2, 4, 8] ------------- = --------- [9, 14, 13] [9, 13] [2, 14, 14, 6] [2, 14, 6] -------------- = ---------- [9, 14, 13] [9, 13] [3, 9, 14, 4] [3, 9, 4] ------------- = --------- [9, 14, 13] [9, 13] [4, 4, 14, 2] [4, 4, 2] ------------- = --------- [9, 14, 13] [9, 13] [4, 14, 14, 0] [4, 14, 0] -------------- = ---------- [9, 14, 13] [9, 13] denominator=, [10, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [10, 4, 2] [10, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [10, 4, 2] [10, 2] denominator=, [10, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [10, 4, 3] [10, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [10, 4, 3] [10, 3] [1, 11, 4, 1] [1, 11, 1] ------------- = ---------- [10, 4, 3] [10, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [10, 4, 3] [10, 3] denominator=, [10, 4, 4] [3, 1, 4, 3] [3, 1, 3] ------------ = --------- [10, 4, 4] [10, 4] [7, 13, 4, 1] [7, 13, 1] ------------- = ---------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 7, 0] [3, 7, 5] [3, 5] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 7, 3] [3, 7, 6] [3, 6] ---------- = ------- [10, 7, 3] [10, 3] [1, 2, 7, 0] [1, 2, 0] ------------ = --------- [10, 7, 3] [10, 3] denominator=, [10, 7, 4] [1, 7, 7] [1, 7] ---------- = ------- [10, 7, 4] [10, 4] [4, 7, 6] [4, 6] ---------- = ------- [10, 7, 4] [10, 4] [7, 7, 5] [7, 5] ---------- = ------- [10, 7, 4] [10, 4] [13, 7, 3] [13, 3] ---------- = ------- [10, 7, 4] [10, 4] [1, 1, 7, 2] [1, 1, 2] ------------ = --------- [10, 7, 4] [10, 4] [1, 4, 7, 1] [1, 4, 1] ------------ = --------- [10, 7, 4] [10, 4] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [10, 7, 4] [10, 4] denominator=, [10, 7, 6] [3, 7, 7] [3, 7] ---------- = ------- [10, 7, 6] [10, 6] [1, 2, 7, 5] [1, 2, 5] ------------ = --------- [10, 7, 6] [10, 6] [1, 9, 7, 4] [1, 9, 4] ------------ = --------- [10, 7, 6] [10, 6] [2, 8, 7, 2] [2, 8, 2] ------------ = --------- [10, 7, 6] [10, 6] [3, 0, 7, 1] [3, 0, 1] ------------ = --------- [10, 7, 6] [10, 6] denominator=, [10, 8, 8] [3, 2, 8, 6] [3, 2, 6] ------------ = --------- [10, 8, 8] [10, 8] [8, 1, 8, 2] [8, 1, 2] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 9] [2, 5, 10, 5] [2, 5, 5] ------------- = --------- [10, 10, 9] [10, 9] [4, 0, 10, 1] [4, 0, 1] ------------- = --------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 10] [1, 14, 12, 5] [1, 14, 5] -------------- = ---------- [10, 12, 10] [10, 10] [3, 3, 12, 0] [3, 3, 0] ------------- = --------- [10, 12, 10] [10, 10] denominator=, [10, 12, 12] [3, 3, 12, 9] [3, 3, 9] ------------- = --------- [10, 12, 12] [10, 12] [8, 4, 12, 3] [8, 4, 3] ------------- = --------- [10, 12, 12] [10, 12] denominator=, [10, 13, 12] [1, 12, 13, 9] [1, 12, 9] -------------- = ---------- [10, 13, 12] [10, 12] [2, 14, 13, 6] [2, 14, 6] -------------- = ---------- [10, 13, 12] [10, 12] [4, 1, 13, 3] [4, 1, 3] ------------- = --------- [10, 13, 12] [10, 12] [5, 3, 13, 0] [5, 3, 0] ------------- = --------- [10, 13, 12] [10, 12] denominator=, [11, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [11, 6, 3] [11, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [11, 6, 3] [11, 3] denominator=, [11, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [11, 6, 5] [11, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [11, 6, 5] [11, 5] [1, 12, 6, 3] [1, 12, 3] ------------- = ---------- [11, 6, 5] [11, 5] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [11, 6, 5] [11, 5] [2, 13, 6, 1] [2, 13, 1] ------------- = ---------- [11, 6, 5] [11, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [11, 6, 5] [11, 5] denominator=, [11, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [11, 8, 6] [11, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [11, 8, 6] [11, 6] [1, 14, 8, 2] [1, 14, 2] ------------- = ---------- [11, 8, 6] [11, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [11, 8, 6] [11, 6] denominator=, [11, 10, 9] [3, 7, 10, 3] [3, 7, 3] ------------- = --------- [11, 10, 9] [11, 9] denominator=, [11, 11, 10] [2, 14, 11, 5] [2, 14, 5] -------------- = ---------- [11, 11, 10] [11, 10] [5, 2, 11, 0] [5, 2, 0] ------------- = --------- [11, 11, 10] [11, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 14, 0] [3, 14, 10] [3, 10] ----------- = ------- [11, 14, 0] [11, 0] [7, 14, 5] [7, 5] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 1] [5, 14, 8] [5, 8] ----------- = ------- [11, 14, 1] [11, 1] denominator=, [11, 14, 5] [5, 14, 10] [5, 10] ----------- = ------- [11, 14, 5] [11, 5] [1, 2, 14, 0] [1, 2, 0] ------------- = --------- [11, 14, 5] [11, 5] denominator=, [11, 14, 6] [3, 14, 12] [3, 12] ----------- = ------- [11, 14, 6] [11, 6] [7, 14, 9] [7, 9] ----------- = ------- [11, 14, 6] [11, 6] [1, 0, 14, 3] [1, 0, 3] ------------- = --------- [11, 14, 6] [11, 6] [1, 4, 14, 0] [1, 4, 0] ------------- = --------- [11, 14, 6] [11, 6] denominator=, [11, 14, 7] [2, 14, 13] [2, 13] ----------- = ------- [11, 14, 7] [11, 7] [5, 14, 11] [5, 11] ----------- = ------- [11, 14, 7] [11, 7] [8, 14, 9] [8, 9] ----------- = ------- [11, 14, 7] [11, 7] [14, 14, 5] [14, 5] ----------- = ------- [11, 14, 7] [11, 7] [1, 2, 14, 3] [1, 2, 3] ------------- = --------- [11, 14, 7] [11, 7] [1, 5, 14, 1] [1, 5, 1] ------------- = --------- [11, 14, 7] [11, 7] denominator=, [11, 14, 9] [1, 14, 14] [1, 14] ----------- = ------- [11, 14, 9] [11, 9] [3, 14, 13] [3, 13] ----------- = ------- [11, 14, 9] [11, 9] [5, 14, 12] [5, 12] ----------- = ------- [11, 14, 9] [11, 9] [7, 14, 11] [7, 11] ----------- = ------- [11, 14, 9] [11, 9] [9, 14, 10] [9, 10] ----------- = ------- [11, 14, 9] [11, 9] [13, 14, 8] [13, 8] ----------- = ------- [11, 14, 9] [11, 9] [1, 0, 14, 7] [1, 0, 7] ------------- = --------- [11, 14, 9] [11, 9] [1, 2, 14, 6] [1, 2, 6] ------------- = --------- [11, 14, 9] [11, 9] [1, 4, 14, 5] [1, 4, 5] ------------- = --------- [11, 14, 9] [11, 9] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [11, 14, 9] [11, 9] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [11, 14, 9] [11, 9] [1, 12, 14, 1] [1, 12, 1] -------------- = ---------- [11, 14, 9] [11, 9] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [11, 14, 9] [11, 9] denominator=, [11, 14, 11] [2, 14, 14] [2, 14] ------------ = -------- [11, 14, 11] [11, 11] [5, 14, 13] [5, 13] ------------ = -------- [11, 14, 11] [11, 11] [8, 14, 12] [8, 12] ------------ = -------- [11, 14, 11] [11, 11] [14, 14, 10] [14, 10] ------------ = -------- [11, 14, 11] [11, 11] [1, 2, 14, 9] [1, 2, 9] ------------- = --------- [11, 14, 11] [11, 11] [1, 5, 14, 8] [1, 5, 8] ------------- = --------- [11, 14, 11] [11, 11] [1, 11, 14, 6] [1, 11, 6] -------------- = ---------- [11, 14, 11] [11, 11] [1, 14, 14, 5] [1, 14, 5] -------------- = ---------- [11, 14, 11] [11, 11] [2, 2, 14, 4] [2, 2, 4] ------------- = --------- [11, 14, 11] [11, 11] [2, 8, 14, 2] [2, 8, 2] ------------- = --------- [11, 14, 11] [11, 11] [2, 11, 14, 1] [2, 11, 1] -------------- = ---------- [11, 14, 11] [11, 11] [2, 14, 14, 0] [2, 14, 0] -------------- = ---------- [11, 14, 11] [11, 11] denominator=, [11, 14, 12] [3, 14, 14] [3, 14] ------------ = -------- [11, 14, 12] [11, 12] [7, 14, 13] [7, 13] ------------ = -------- [11, 14, 12] [11, 12] [1, 0, 14, 11] [1, 0, 11] -------------- = ---------- [11, 14, 12] [11, 12] [1, 4, 14, 10] [1, 4, 10] -------------- = ---------- [11, 14, 12] [11, 12] [1, 12, 14, 8] [1, 12, 8] -------------- = ---------- [11, 14, 12] [11, 12] [2, 1, 14, 7] [2, 1, 7] ------------- = --------- [11, 14, 12] [11, 12] [2, 9, 14, 5] [2, 9, 5] ------------- = --------- [11, 14, 12] [11, 12] [2, 13, 14, 4] [2, 13, 4] -------------- = ---------- [11, 14, 12] [11, 12] [3, 6, 14, 2] [3, 6, 2] ------------- = --------- [11, 14, 12] [11, 12] [3, 10, 14, 1] [3, 10, 1] -------------- = ---------- [11, 14, 12] [11, 12] denominator=, [11, 14, 13] [5, 14, 14] [5, 14] ------------ = -------- [11, 14, 13] [11, 13] [1, 2, 14, 12] [1, 2, 12] -------------- = ---------- [11, 14, 13] [11, 13] [1, 14, 14, 10] [1, 14, 10] --------------- = ----------- [11, 14, 13] [11, 13] [2, 11, 14, 8] [2, 11, 8] -------------- = ---------- [11, 14, 13] [11, 13] [3, 8, 14, 6] [3, 8, 6] ------------- = --------- [11, 14, 13] [11, 13] [4, 5, 14, 4] [4, 5, 4] ------------- = --------- [11, 14, 13] [11, 13] [5, 2, 14, 2] [5, 2, 2] ------------- = --------- [11, 14, 13] [11, 13] [5, 14, 14, 0] [5, 14, 0] -------------- = ---------- [11, 14, 13] [11, 13] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 7, 0] [2, 7, 6] [2, 6] ---------- = ------- [12, 7, 0] [12, 0] [7, 7, 3] [7, 3] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 7, 5] [2, 7, 7] [2, 7] ---------- = ------- [12, 7, 5] [12, 5] [7, 7, 6] [7, 6] ---------- = ------- [12, 7, 5] [12, 5] [1, 2, 7, 4] [1, 2, 4] ------------ = --------- [12, 7, 5] [12, 5] [1, 7, 7, 3] [1, 7, 3] ------------ = --------- [12, 7, 5] [12, 5] [1, 12, 7, 2] [1, 12, 2] ------------- = ---------- [12, 7, 5] [12, 5] [2, 2, 7, 1] [2, 2, 1] ------------ = --------- [12, 7, 5] [12, 5] denominator=, [12, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [12, 8, 4] [12, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [12, 8, 4] [12, 4] denominator=, [12, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [12, 8, 7] [12, 7] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [12, 8, 7] [12, 7] [1, 13, 8, 5] [1, 13, 5] ------------- = ---------- [12, 8, 7] [12, 7] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [12, 8, 7] [12, 7] [2, 14, 8, 3] [2, 14, 3] ------------- = ---------- [12, 8, 7] [12, 7] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [12, 8, 7] [12, 7] [4, 0, 8, 1] [4, 0, 1] ------------ = --------- [12, 8, 7] [12, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [12, 8, 7] [12, 7] denominator=, [12, 8, 8] [2, 4, 8, 7] [2, 4, 7] ------------ = --------- [12, 8, 8] [12, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [5, 3, 8, 5] [5, 3, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 2, 8, 3] [8, 2, 3] ------------ = --------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] [11, 1, 8, 1] [11, 1, 1] ------------- = ---------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [12, 12, 9] [12, 9] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [12, 12, 9] [12, 9] [2, 2, 12, 3] [2, 2, 3] ------------- = --------- [12, 12, 9] [12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [12, 12, 10] [12, 10] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [12, 12, 10] [12, 10] [2, 0, 12, 6] [2, 0, 6] ------------- = --------- [12, 12, 10] [12, 10] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [12, 12, 10] [12, 10] [3, 3, 12, 2] [3, 3, 2] ------------- = --------- [12, 12, 10] [12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 4, 3] [2, 14, 4, 0] [2, 14, 0] ------------- = ---------- [13, 4, 3] [13, 3] denominator=, [13, 5, 3] [2, 0, 5, 0] [2, 0, 0] ------------ = --------- [13, 5, 3] [13, 3] denominator=, [13, 6, 5] [4, 0, 6, 0] [4, 0, 0] ------------ = --------- [13, 6, 5] [13, 5] denominator=, [13, 7, 0] [4, 7, 5] [4, 5] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 7, 3] [1, 7, 7] [1, 7] ---------- = ------- [13, 7, 3] [13, 3] [4, 7, 6] [4, 6] ---------- = ------- [13, 7, 3] [13, 3] [7, 7, 5] [7, 5] ---------- = ------- [13, 7, 3] [13, 3] [10, 7, 4] [10, 4] ---------- = ------- [13, 7, 3] [13, 3] [1, 1, 7, 2] [1, 1, 2] ------------ = --------- [13, 7, 3] [13, 3] [1, 4, 7, 1] [1, 4, 1] ------------ = --------- [13, 7, 3] [13, 3] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [13, 7, 3] [13, 3] denominator=, [13, 7, 6] [4, 7, 7] [4, 7] ---------- = ------- [13, 7, 6] [13, 6] [1, 7, 7, 5] [1, 7, 5] ------------ = --------- [13, 7, 6] [13, 6] [2, 1, 7, 4] [2, 1, 4] ------------ = --------- [13, 7, 6] [13, 6] [3, 4, 7, 2] [3, 4, 2] ------------ = --------- [13, 7, 6] [13, 6] [3, 13, 7, 1] [3, 13, 1] ------------- = ---------- [13, 7, 6] [13, 6] denominator=, [13, 8, 5] [2, 2, 8, 0] [2, 2, 0] ------------ = --------- [13, 8, 5] [13, 5] denominator=, [13, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [13, 10, 5] [13, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [13, 10, 5] [13, 5] denominator=, [13, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [13, 10, 9] [13, 9] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [13, 10, 9] [13, 9] [1, 14, 10, 7] [1, 14, 7] -------------- = ---------- [13, 10, 9] [13, 9] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [13, 10, 9] [13, 9] [3, 0, 10, 5] [3, 0, 5] ------------- = --------- [13, 10, 9] [13, 9] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [13, 10, 9] [13, 9] [4, 1, 10, 3] [4, 1, 3] ------------- = --------- [13, 10, 9] [13, 9] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [13, 10, 9] [13, 9] [5, 2, 10, 1] [5, 2, 1] ------------- = --------- [13, 10, 9] [13, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [13, 10, 9] [13, 9] denominator=, [13, 13, 12] [5, 3, 13, 3] [5, 3, 3] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 3] [6, 14, 9] [6, 9] ----------- = ------- [13, 14, 3] [13, 3] denominator=, [13, 14, 5] [6, 14, 10] [6, 10] ----------- = ------- [13, 14, 5] [13, 5] [1, 5, 14, 0] [1, 5, 0] ------------- = --------- [13, 14, 5] [13, 5] denominator=, [13, 14, 7] [6, 14, 11] [6, 11] ----------- = ------- [13, 14, 7] [13, 7] [1, 5, 14, 3] [1, 5, 3] ------------- = --------- [13, 14, 7] [13, 7] denominator=, [13, 14, 8] [1, 14, 14] [1, 14] ----------- = ------- [13, 14, 8] [13, 8] [3, 14, 13] [3, 13] ----------- = ------- [13, 14, 8] [13, 8] [5, 14, 12] [5, 12] ----------- = ------- [13, 14, 8] [13, 8] [7, 14, 11] [7, 11] ----------- = ------- [13, 14, 8] [13, 8] [9, 14, 10] [9, 10] ----------- = ------- [13, 14, 8] [13, 8] [11, 14, 9] [11, 9] ----------- = ------- [13, 14, 8] [13, 8] [1, 0, 14, 7] [1, 0, 7] ------------- = --------- [13, 14, 8] [13, 8] [1, 2, 14, 6] [1, 2, 6] ------------- = --------- [13, 14, 8] [13, 8] [1, 4, 14, 5] [1, 4, 5] ------------- = --------- [13, 14, 8] [13, 8] [1, 6, 14, 4] [1, 6, 4] ------------- = --------- [13, 14, 8] [13, 8] [1, 8, 14, 3] [1, 8, 3] ------------- = --------- [13, 14, 8] [13, 8] [1, 10, 14, 2] [1, 10, 2] -------------- = ---------- [13, 14, 8] [13, 8] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [13, 14, 8] [13, 8] denominator=, [13, 14, 9] [6, 14, 12] [6, 12] ----------- = ------- [13, 14, 9] [13, 9] [1, 5, 14, 6] [1, 5, 6] ------------- = --------- [13, 14, 9] [13, 9] [2, 4, 14, 0] [2, 4, 0] ------------- = --------- [13, 14, 9] [13, 9] denominator=, [13, 14, 11] [6, 14, 13] [6, 13] ------------ = -------- [13, 14, 11] [13, 11] [1, 5, 14, 9] [1, 5, 9] ------------- = --------- [13, 14, 11] [13, 11] [2, 4, 14, 5] [2, 4, 5] ------------- = --------- [13, 14, 11] [13, 11] [3, 3, 14, 1] [3, 3, 1] ------------- = --------- [13, 14, 11] [13, 11] denominator=, [13, 14, 13] [6, 14, 14] [6, 14] ------------ = -------- [13, 14, 13] [13, 13] [1, 5, 14, 12] [1, 5, 12] -------------- = ---------- [13, 14, 13] [13, 13] [2, 4, 14, 10] [2, 4, 10] -------------- = ---------- [13, 14, 13] [13, 13] [3, 3, 14, 8] [3, 3, 8] ------------- = --------- [13, 14, 13] [13, 13] [4, 2, 14, 6] [4, 2, 6] ------------- = --------- [13, 14, 13] [13, 13] [5, 1, 14, 4] [5, 1, 4] ------------- = --------- [13, 14, 13] [13, 13] [6, 0, 14, 2] [6, 0, 2] ------------- = --------- [13, 14, 13] [13, 13] [6, 14, 14, 0] [6, 14, 0] -------------- = ---------- [13, 14, 13] [13, 13] denominator=, [14, 4, 0] [4, 4, 3] [4, 3] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 4, 4] [4, 4, 4, 3] [4, 4, 3] ------------ = --------- [14, 4, 4] [14, 4] [10, 14, 4, 1] [10, 14, 1] -------------- = ----------- [14, 4, 4] [14, 4] denominator=, [14, 8, 6] [2, 1, 8, 3] [2, 1, 3] ------------ = --------- [14, 8, 6] [14, 6] [3, 3, 8, 0] [3, 3, 0] ------------ = --------- [14, 8, 6] [14, 6] denominator=, [14, 8, 8] [4, 5, 8, 6] [4, 5, 6] ------------ = --------- [14, 8, 8] [14, 8] [11, 2, 8, 2] [11, 2, 2] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [14, 12, 6] [14, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [14, 12, 6] [14, 6] denominator=, [14, 12, 10] [2, 10, 12, 5] [2, 10, 5] -------------- = ---------- [14, 12, 10] [14, 10] [4, 6, 12, 0] [4, 6, 0] ------------- = --------- [14, 12, 10] [14, 10] denominator=, [14, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [14, 12, 11] [14, 11] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [14, 12, 11] [14, 11] [2, 0, 12, 9] [2, 0, 9] ------------- = --------- [14, 12, 11] [14, 11] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [14, 12, 11] [14, 11] [3, 1, 12, 7] [3, 1, 7] ------------- = --------- [14, 12, 11] [14, 11] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [14, 12, 11] [14, 11] [4, 2, 12, 5] [4, 2, 5] ------------- = --------- [14, 12, 11] [14, 11] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [14, 12, 11] [14, 11] [5, 3, 12, 3] [5, 3, 3] ------------- = --------- [14, 12, 11] [14, 11] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [14, 12, 11] [14, 11] [6, 4, 12, 1] [6, 4, 1] ------------- = --------- [14, 12, 11] [14, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [14, 12, 11] [14, 11] denominator=, [14, 12, 12] [4, 6, 12, 9] [4, 6, 9] ------------- = --------- [14, 12, 12] [14, 12] [11, 5, 12, 3] [11, 5, 3] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 13, 10] [2, 3, 13, 5] [2, 3, 5] ------------- = --------- [14, 13, 10] [14, 10] [3, 7, 13, 0] [3, 7, 0] ------------- = --------- [14, 13, 10] [14, 10] denominator=, [14, 14, 3] [4, 14, 11] [4, 11] ----------- = ------- [14, 14, 3] [14, 3] [9, 14, 7] [9, 7] ----------- = ------- [14, 14, 3] [14, 3] denominator=, [14, 14, 5] [2, 14, 13] [2, 13] ----------- = ------- [14, 14, 5] [14, 5] [5, 14, 11] [5, 11] ----------- = ------- [14, 14, 5] [14, 5] [8, 14, 9] [8, 9] ----------- = ------- [14, 14, 5] [14, 5] [11, 14, 7] [11, 7] ----------- = ------- [14, 14, 5] [14, 5] [1, 2, 14, 3] [1, 2, 3] ------------- = --------- [14, 14, 5] [14, 5] [1, 5, 14, 1] [1, 5, 1] ------------- = --------- [14, 14, 5] [14, 5] denominator=, [14, 14, 6] [4, 14, 12] [4, 12] ----------- = ------- [14, 14, 6] [14, 6] [9, 14, 9] [9, 9] ----------- = ------- [14, 14, 6] [14, 6] [1, 4, 14, 3] [1, 4, 3] ------------- = --------- [14, 14, 6] [14, 6] [1, 9, 14, 0] [1, 9, 0] ------------- = --------- [14, 14, 6] [14, 6] denominator=, [14, 14, 9] [4, 14, 13] [4, 13] ----------- = ------- [14, 14, 9] [14, 9] [9, 14, 11] [9, 11] ----------- = ------- [14, 14, 9] [14, 9] [1, 4, 14, 7] [1, 4, 7] ------------- = --------- [14, 14, 9] [14, 9] [1, 9, 14, 5] [1, 9, 5] ------------- = --------- [14, 14, 9] [14, 9] [2, 4, 14, 1] [2, 4, 1] ------------- = --------- [14, 14, 9] [14, 9] denominator=, [14, 14, 10] [2, 14, 14] [2, 14] ------------ = -------- [14, 14, 10] [14, 10] [5, 14, 13] [5, 13] ------------ = -------- [14, 14, 10] [14, 10] [8, 14, 12] [8, 12] ------------ = -------- [14, 14, 10] [14, 10] [11, 14, 11] [11, 11] ------------ = -------- [14, 14, 10] [14, 10] [1, 2, 14, 9] [1, 2, 9] ------------- = --------- [14, 14, 10] [14, 10] [1, 5, 14, 8] [1, 5, 8] ------------- = --------- [14, 14, 10] [14, 10] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [14, 14, 10] [14, 10] [1, 11, 14, 6] [1, 11, 6] -------------- = ---------- [14, 14, 10] [14, 10] [2, 2, 14, 4] [2, 2, 4] ------------- = --------- [14, 14, 10] [14, 10] [2, 5, 14, 3] [2, 5, 3] ------------- = --------- [14, 14, 10] [14, 10] [2, 8, 14, 2] [2, 8, 2] ------------- = --------- [14, 14, 10] [14, 10] [2, 11, 14, 1] [2, 11, 1] -------------- = ---------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [4, 14, 14] [4, 14] ------------ = -------- [14, 14, 12] [14, 12] [9, 14, 13] [9, 13] ------------ = -------- [14, 14, 12] [14, 12] [1, 4, 14, 11] [1, 4, 11] -------------- = ---------- [14, 14, 12] [14, 12] [1, 9, 14, 10] [1, 9, 10] -------------- = ---------- [14, 14, 12] [14, 12] [2, 4, 14, 8] [2, 4, 8] ------------- = --------- [14, 14, 12] [14, 12] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [14, 14, 12] [14, 12] [3, 4, 14, 5] [3, 4, 5] ------------- = --------- [14, 14, 12] [14, 12] [3, 9, 14, 4] [3, 9, 4] ------------- = --------- [14, 14, 12] [14, 12] [4, 4, 14, 2] [4, 4, 2] ------------- = --------- [14, 14, 12] [14, 12] [4, 9, 14, 1] [4, 9, 1] ------------- = --------- [14, 14, 12] [14, 12] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [4, 3, 5] [3, 5] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 1] [6, 4, 12] [4, 12] ---------- = ------- [1, 6, 1] [1, 1] denominator=, [1, 6, 3] [6, 5, 6] [5, 6] --------- = ------ [1, 6, 3] [1, 3] [2, 6, 0, 9] [2, 0, 9] ------------ = --------- [1, 6, 3] [1, 3] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 1] [10, 6, 10] [6, 10] ----------- = ------- [1, 10, 1] [1, 1] denominator=, [1, 10, 5] [10, 8, 5] [8, 5] ---------- = ------ [1, 10, 5] [1, 5] [2, 10, 1, 10] [2, 1, 10] -------------- = ---------- [1, 10, 5] [1, 5] denominator=, [1, 10, 7] [3, 10, 2, 10] [3, 2, 10] -------------- = ---------- [1, 10, 7] [1, 7] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [11, 6, 9] [6, 9] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 5] [11, 8, 12] [8, 12] ----------- = ------- [1, 11, 5] [1, 5] [2, 11, 1, 3] [2, 1, 3] ------------- = --------- [1, 11, 5] [1, 5] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 3] [13, 8, 10] [8, 10] ----------- = ------- [1, 13, 3] [1, 3] denominator=, [1, 13, 9] [4, 13, 1, 5] [4, 1, 5] ------------- = --------- [1, 13, 9] [1, 9] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [1, 13, 12] [1, 12] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [1, 13, 12] [1, 12] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 1] [14, 8, 0] [8, 0] ---------- = ------ [1, 14, 1] [1, 1] denominator=, [1, 14, 3] [14, 9, 0] [9, 0] ---------- = ------ [1, 14, 3] [1, 3] denominator=, [1, 14, 5] [14, 10, 0] [10, 0] ----------- = ------- [1, 14, 5] [1, 5] [2, 14, 0, 0] [2, 0, 0] ------------- = --------- [1, 14, 5] [1, 5] denominator=, [1, 14, 7] [14, 11, 0] [11, 0] ----------- = ------- [1, 14, 7] [1, 7] [2, 14, 3, 0] [2, 3, 0] ------------- = --------- [1, 14, 7] [1, 7] denominator=, [1, 14, 9] [14, 12, 0] [12, 0] ----------- = ------- [1, 14, 9] [1, 9] [2, 14, 6, 0] [2, 6, 0] ------------- = --------- [1, 14, 9] [1, 9] [4, 14, 0, 0] [4, 0, 0] ------------- = --------- [1, 14, 9] [1, 9] denominator=, [1, 14, 11] [14, 13, 0] [13, 0] ----------- = ------- [1, 14, 11] [1, 11] [2, 14, 9, 0] [2, 9, 0] ------------- = --------- [1, 14, 11] [1, 11] [4, 14, 5, 0] [4, 5, 0] ------------- = --------- [1, 14, 11] [1, 11] [6, 14, 1, 0] [6, 1, 0] ------------- = --------- [1, 14, 11] [1, 11] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 4, 4] [10, 4, 3, 0] [10, 3, 0] ------------- = ---------- [2, 4, 4] [2, 4] [1, 11, 4, 1, 0] [1, 11, 1, 0] ---------------- = ------------- [2, 4, 4] [2, 4] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 8, 0] [8, 6, 10] [6, 10] ---------- = ------- [2, 8, 0] [2, 0] [1, 8, 3, 5] [1, 3, 5] ------------ = --------- [2, 8, 0] [2, 0] denominator=, [2, 8, 3] [8, 7, 5] [7, 5] --------- = ------ [2, 8, 3] [2, 3] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 8, 8] [5, 8, 7, 5] [5, 7, 5] ------------ = --------- [2, 8, 8] [2, 8] [11, 8, 6, 0] [11, 6, 0] ------------- = ---------- [2, 8, 8] [2, 8] [1, 2, 8, 4, 10] [1, 2, 4, 10] ---------------- = ------------- [2, 8, 8] [2, 8] [1, 8, 8, 3, 5] [1, 8, 3, 5] --------------- = ------------ [2, 8, 8] [2, 8] [1, 14, 8, 2, 0] [1, 14, 2, 0] ---------------- = ------------- [2, 8, 8] [2, 8] [2, 5, 8, 0, 10] [2, 5, 0, 10] ---------------- = ------------- [2, 8, 8] [2, 8] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [12, 9, 0] [9, 0] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 2] [12, 9, 9] [9, 9] ---------- = ------ [2, 12, 2] [2, 2] [1, 12, 5, 12] [1, 5, 12] -------------- = ---------- [2, 12, 2] [2, 2] denominator=, [2, 12, 4] [12, 10, 3] [10, 3] ----------- = ------- [2, 12, 4] [2, 4] denominator=, [2, 12, 6] [12, 10, 12] [10, 12] ------------ = -------- [2, 12, 6] [2, 6] [1, 12, 8, 6] [1, 8, 6] ------------- = --------- [2, 12, 6] [2, 6] [3, 12, 3, 9] [3, 3, 9] ------------- = --------- [2, 12, 6] [2, 6] [4, 12, 1, 3] [4, 1, 3] ------------- = --------- [2, 12, 6] [2, 6] denominator=, [2, 12, 8] [12, 11, 6] [11, 6] ----------- = ------- [2, 12, 8] [2, 8] [4, 12, 4, 9] [4, 4, 9] ------------- = --------- [2, 12, 8] [2, 8] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 12, 12] [12, 12, 9] [12, 9] ----------- = ------- [2, 12, 12] [2, 12] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [2, 12, 12] [2, 12] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [2, 12, 12] [2, 12] [12, 12, 9, 0] [12, 9, 0] -------------- = ---------- [2, 12, 12] [2, 12] [1, 1, 12, 7, 12] [1, 1, 7, 12] ----------------- = ------------- [2, 12, 12] [2, 12] [1, 5, 12, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 9, 12, 5, 6] [1, 9, 5, 6] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 13, 12, 4, 3] [1, 13, 4, 3] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 2, 12, 3, 0] [2, 2, 3, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [2, 6, 12, 1, 12] [2, 6, 1, 12] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 10, 12, 0, 9] [2, 10, 0, 9] ----------------- = ------------- [2, 12, 12] [2, 12] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [7, 6, 3, 5] [7, 3, 5] ------------ = --------- [3, 6, 5] [3, 5] [1, 0, 6, 0, 0] [1, 0, 0, 0] --------------- = ------------ [3, 6, 5] [3, 5] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [8, 7, 3] [7, 3] --------- = ------ [3, 8, 0] [3, 0] [1, 8, 4, 12] [1, 4, 12] ------------- = ---------- [3, 8, 0] [3, 0] [2, 8, 2, 6] [2, 2, 6] ------------ = --------- [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 10, 9] [1, 1, 10, 3, 0] [1, 1, 3, 0] ---------------- = ------------ [3, 10, 9] [3, 9] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [12, 10, 0] [10, 0] ----------- = ------- [3, 12, 0] [3, 0] [1, 12, 6, 10] [1, 6, 10] -------------- = ---------- [3, 12, 0] [3, 0] [2, 12, 3, 5] [2, 3, 5] ------------- = --------- [3, 12, 0] [3, 0] denominator=, [3, 12, 3] [12, 10, 10] [10, 10] ------------ = -------- [3, 12, 3] [3, 3] denominator=, [3, 12, 6] [12, 11, 5] [11, 5] ----------- = ------- [3, 12, 6] [3, 6] [6, 12, 0, 10] [6, 0, 10] -------------- = ---------- [3, 12, 6] [3, 6] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 12, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 12, 12] [3, 12] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [3, 12, 12] [3, 12] [9, 12, 10, 10] [9, 10, 10] --------------- = ----------- [3, 12, 12] [3, 12] [1, 0, 12, 9, 5] [1, 0, 9, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 3, 12, 8, 10] [1, 3, 8, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [1, 9, 12, 7, 5] [1, 9, 7, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 12, 12, 6, 10] [1, 12, 6, 10] ------------------ = -------------- [3, 12, 12] [3, 12] [2, 3, 12, 5, 5] [2, 3, 5, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 6, 12, 4, 10] [2, 6, 4, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [2, 12, 12, 3, 5] [2, 12, 3, 5] ----------------- = ------------- [3, 12, 12] [3, 12] [3, 0, 12, 2, 10] [3, 0, 2, 10] ----------------- = ------------- [3, 12, 12] [3, 12] [3, 6, 12, 1, 5] [3, 6, 1, 5] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 9, 12, 0, 10] [3, 9, 0, 10] ----------------- = ------------- [3, 12, 12] [3, 12] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 14, 1] [1, 14, 8, 0] [1, 8, 0] ------------- = --------- [3, 14, 1] [3, 1] denominator=, [3, 14, 3] [14, 12, 0] [12, 0] ----------- = ------- [3, 14, 3] [3, 3] [1, 14, 9, 0] [1, 9, 0] ------------- = --------- [3, 14, 3] [3, 3] [2, 14, 6, 0] [2, 6, 0] ------------- = --------- [3, 14, 3] [3, 3] [4, 14, 0, 0] [4, 0, 0] ------------- = --------- [3, 14, 3] [3, 3] denominator=, [3, 14, 5] [1, 14, 10, 0] [1, 10, 0] -------------- = ---------- [3, 14, 5] [3, 5] [5, 14, 0, 0] [5, 0, 0] ------------- = --------- [3, 14, 5] [3, 5] denominator=, [3, 14, 7] [14, 13, 0] [13, 0] ----------- = ------- [3, 14, 7] [3, 7] [1, 14, 11, 0] [1, 11, 0] -------------- = ---------- [3, 14, 7] [3, 7] [2, 14, 9, 0] [2, 9, 0] ------------- = --------- [3, 14, 7] [3, 7] [4, 14, 5, 0] [4, 5, 0] ------------- = --------- [3, 14, 7] [3, 7] [5, 14, 3, 0] [5, 3, 0] ------------- = --------- [3, 14, 7] [3, 7] [6, 14, 1, 0] [6, 1, 0] ------------- = --------- [3, 14, 7] [3, 7] denominator=, [3, 14, 9] [1, 14, 12, 0] [1, 12, 0] -------------- = ---------- [3, 14, 9] [3, 9] [5, 14, 6, 0] [5, 6, 0] ------------- = --------- [3, 14, 9] [3, 9] [9, 14, 0, 0] [9, 0, 0] ------------- = --------- [3, 14, 9] [3, 9] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [3, 14, 13] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [3, 14, 13] [3, 13] [5, 14, 12, 0] [5, 12, 0] -------------- = ---------- [3, 14, 13] [3, 13] [9, 14, 10, 0] [9, 10, 0] -------------- = ---------- [3, 14, 13] [3, 13] [13, 14, 8, 0] [13, 8, 0] -------------- = ---------- [3, 14, 13] [3, 13] [1, 2, 14, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [3, 14, 13] [3, 13] [1, 6, 14, 4, 0] [1, 6, 4, 0] ---------------- = ------------ [3, 14, 13] [3, 13] [1, 10, 14, 2, 0] [1, 10, 2, 0] ----------------- = ------------- [3, 14, 13] [3, 13] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [3, 14, 13] [3, 13] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 9] [1, 3, 9] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 8] [3, 2, 8] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 7] [5, 1, 7] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 6] [7, 0, 6] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [7, 6, 10] [6, 10] ---------- = ------- [4, 7, 0] [4, 0] [2, 7, 3, 5] [2, 3, 5] ------------ = --------- [4, 7, 0] [4, 0] [3, 7, 1, 10] [3, 1, 10] ------------- = ---------- [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 7, 6] [7, 7, 5] [7, 5] --------- = ------ [4, 7, 6] [4, 6] [2, 7, 6, 10] [2, 6, 10] ------------- = ---------- [4, 7, 6] [4, 6] [3, 7, 6, 5] [3, 6, 5] ------------ = --------- [4, 7, 6] [4, 6] [5, 7, 5, 10] [5, 5, 10] ------------- = ---------- [4, 7, 6] [4, 6] [6, 7, 5, 5] [6, 5, 5] ------------ = --------- [4, 7, 6] [4, 6] [8, 7, 4, 10] [8, 4, 10] ------------- = ---------- [4, 7, 6] [4, 6] [9, 7, 4, 5] [9, 4, 5] ------------ = --------- [4, 7, 6] [4, 6] [11, 7, 3, 10] [11, 3, 10] -------------- = ----------- [4, 7, 6] [4, 6] [12, 7, 3, 5] [12, 3, 5] ------------- = ---------- [4, 7, 6] [4, 6] [14, 7, 2, 10] [14, 2, 10] -------------- = ----------- [4, 7, 6] [4, 6] [1, 0, 7, 2, 5] [1, 0, 2, 5] --------------- = ------------ [4, 7, 6] [4, 6] [1, 2, 7, 1, 10] [1, 2, 1, 10] ---------------- = ------------- [4, 7, 6] [4, 6] [1, 3, 7, 1, 5] [1, 3, 1, 5] --------------- = ------------ [4, 7, 6] [4, 6] [1, 5, 7, 0, 10] [1, 5, 0, 10] ---------------- = ------------- [4, 7, 6] [4, 6] [1, 6, 7, 0, 5] [1, 6, 0, 5] --------------- = ------------ [4, 7, 6] [4, 6] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 8] [12, 8, 7, 0] [12, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [1, 13, 8, 5, 0] [1, 13, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [2, 14, 8, 3, 0] [2, 14, 3, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [4, 0, 8, 1, 0] [4, 0, 1, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 10] [1, 6, 12, 0, 0] [1, 6, 0, 0] ---------------- = ------------ [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [5, 2, 0] [1, 2, 1, 10] [1, 1, 10] ------------- = ---------- [5, 2, 0] [5, 0] denominator=, [5, 2, 1] [2, 2, 1, 10] [2, 1, 10] ------------- = ---------- [5, 2, 1] [5, 1] [8, 2, 0, 5] [8, 0, 5] ------------ = --------- [5, 2, 1] [5, 1] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 6, 5] [1, 9, 6, 0, 0] [1, 9, 0, 0] --------------- = ------------ [5, 6, 5] [5, 5] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 1] [1, 10, 7, 12] [1, 7, 12] -------------- = ---------- [5, 10, 1] [5, 1] [3, 10, 4, 6] [3, 4, 6] ------------- = --------- [5, 10, 1] [5, 1] denominator=, [5, 10, 3] [1, 10, 8, 6] [1, 8, 6] ------------- = --------- [5, 10, 3] [5, 3] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 7] [1, 10, 9, 9] [1, 9, 9] ------------- = --------- [5, 10, 7] [5, 7] [9, 10, 4, 6] [9, 4, 6] ------------- = --------- [5, 10, 7] [5, 7] denominator=, [5, 10, 9] [1, 10, 10, 3] [1, 10, 3] -------------- = ---------- [5, 10, 9] [5, 9] [3, 10, 9, 9] [3, 9, 9] ------------- = --------- [5, 10, 9] [5, 9] [7, 10, 8, 6] [7, 8, 6] ------------- = --------- [5, 10, 9] [5, 9] [9, 10, 7, 12] [9, 7, 12] -------------- = ---------- [5, 10, 9] [5, 9] [11, 10, 7, 3] [11, 7, 3] -------------- = ---------- [5, 10, 9] [5, 9] [1, 0, 10, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [5, 10, 9] [5, 9] [1, 2, 10, 5, 6] [1, 2, 5, 6] ---------------- = ------------ [5, 10, 9] [5, 9] [1, 4, 10, 4, 12] [1, 4, 4, 12] ----------------- = ------------- [5, 10, 9] [5, 9] [1, 8, 10, 3, 9] [1, 8, 3, 9] ---------------- = ------------ [5, 10, 9] [5, 9] [1, 10, 10, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [5, 10, 9] [5, 9] [1, 12, 10, 2, 6] [1, 12, 2, 6] ----------------- = ------------- [5, 10, 9] [5, 9] [2, 1, 10, 1, 3] [2, 1, 1, 3] ---------------- = ------------ [5, 10, 9] [5, 9] [2, 3, 10, 0, 9] [2, 3, 0, 9] ---------------- = ------------ [5, 10, 9] [5, 9] [2, 5, 10, 0, 0] [2, 5, 0, 0] ---------------- = ------------ [5, 10, 9] [5, 9] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 11, 9] [14, 11, 4, 10] [14, 4, 10] --------------- = ----------- [5, 11, 9] [5, 9] [1, 8, 11, 0, 5] [1, 8, 0, 5] ---------------- = ------------ [5, 11, 9] [5, 9] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 14, 1] [14, 12, 10] [12, 10] ------------ = -------- [5, 14, 1] [5, 1] [2, 14, 8, 0] [2, 8, 0] ------------- = --------- [5, 14, 1] [5, 1] [4, 14, 3, 5] [4, 3, 5] ------------- = --------- [5, 14, 1] [5, 1] denominator=, [5, 14, 3] [14, 13, 0] [13, 0] ----------- = ------- [5, 14, 3] [5, 3] [2, 14, 9, 0] [2, 9, 0] ------------- = --------- [5, 14, 3] [5, 3] [4, 14, 5, 0] [4, 5, 0] ------------- = --------- [5, 14, 3] [5, 3] [6, 14, 1, 0] [6, 1, 0] ------------- = --------- [5, 14, 3] [5, 3] denominator=, [5, 14, 5] [14, 13, 5] [13, 5] ----------- = ------- [5, 14, 5] [5, 5] [2, 14, 10, 0] [2, 10, 0] -------------- = ---------- [5, 14, 5] [5, 5] [4, 14, 6, 10] [4, 6, 10] -------------- = ---------- [5, 14, 5] [5, 5] [6, 14, 3, 5] [6, 3, 5] ------------- = --------- [5, 14, 5] [5, 5] [8, 14, 0, 0] [8, 0, 0] ------------- = --------- [5, 14, 5] [5, 5] denominator=, [5, 14, 7] [14, 13, 10] [13, 10] ------------ = -------- [5, 14, 7] [5, 7] [2, 14, 11, 0] [2, 11, 0] -------------- = ---------- [5, 14, 7] [5, 7] [4, 14, 8, 5] [4, 8, 5] ------------- = --------- [5, 14, 7] [5, 7] [6, 14, 5, 10] [6, 5, 10] -------------- = ---------- [5, 14, 7] [5, 7] [8, 14, 3, 0] [8, 3, 0] ------------- = --------- [5, 14, 7] [5, 7] [10, 14, 0, 5] [10, 0, 5] -------------- = ---------- [5, 14, 7] [5, 7] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 14, 11] [14, 14, 5] [14, 5] ----------- = ------- [5, 14, 11] [5, 11] [2, 14, 13, 0] [2, 13, 0] -------------- = ---------- [5, 14, 11] [5, 11] [4, 14, 11, 10] [4, 11, 10] --------------- = ----------- [5, 14, 11] [5, 11] [6, 14, 10, 5] [6, 10, 5] -------------- = ---------- [5, 14, 11] [5, 11] [8, 14, 9, 0] [8, 9, 0] ------------- = --------- [5, 14, 11] [5, 11] [10, 14, 7, 10] [10, 7, 10] --------------- = ----------- [5, 14, 11] [5, 11] [12, 14, 6, 5] [12, 6, 5] -------------- = ---------- [5, 14, 11] [5, 11] [14, 14, 5, 0] [14, 5, 0] -------------- = ---------- [5, 14, 11] [5, 11] [1, 1, 14, 3, 10] [1, 1, 3, 10] ----------------- = ------------- [5, 14, 11] [5, 11] [1, 3, 14, 2, 5] [1, 3, 2, 5] ---------------- = ------------ [5, 14, 11] [5, 11] [1, 5, 14, 1, 0] [1, 5, 1, 0] ---------------- = ------------ [5, 14, 11] [5, 11] denominator=, [5, 14, 13] [14, 14, 10] [14, 10] ------------ = -------- [5, 14, 13] [5, 13] [2, 14, 14, 0] [2, 14, 0] -------------- = ---------- [5, 14, 13] [5, 13] [4, 14, 13, 5] [4, 13, 5] -------------- = ---------- [5, 14, 13] [5, 13] [6, 14, 12, 10] [6, 12, 10] --------------- = ----------- [5, 14, 13] [5, 13] [8, 14, 12, 0] [8, 12, 0] -------------- = ---------- [5, 14, 13] [5, 13] [10, 14, 11, 5] [10, 11, 5] --------------- = ----------- [5, 14, 13] [5, 13] [12, 14, 10, 10] [12, 10, 10] ---------------- = ------------ [5, 14, 13] [5, 13] [14, 14, 10, 0] [14, 10, 0] --------------- = ----------- [5, 14, 13] [5, 13] [1, 1, 14, 9, 5] [1, 1, 9, 5] ---------------- = ------------ [5, 14, 13] [5, 13] [1, 3, 14, 8, 10] [1, 3, 8, 10] ----------------- = ------------- [5, 14, 13] [5, 13] [1, 5, 14, 8, 0] [1, 5, 8, 0] ---------------- = ------------ [5, 14, 13] [5, 13] [1, 7, 14, 7, 5] [1, 7, 7, 5] ---------------- = ------------ [5, 14, 13] [5, 13] [1, 9, 14, 6, 10] [1, 9, 6, 10] ----------------- = ------------- [5, 14, 13] [5, 13] [1, 11, 14, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [5, 14, 13] [5, 13] [1, 13, 14, 5, 5] [1, 13, 5, 5] ----------------- = ------------- [5, 14, 13] [5, 13] [2, 0, 14, 4, 10] [2, 0, 4, 10] ----------------- = ------------- [5, 14, 13] [5, 13] [2, 2, 14, 4, 0] [2, 2, 4, 0] ---------------- = ------------ [5, 14, 13] [5, 13] [2, 4, 14, 3, 5] [2, 4, 3, 5] ---------------- = ------------ [5, 14, 13] [5, 13] [2, 6, 14, 2, 10] [2, 6, 2, 10] ----------------- = ------------- [5, 14, 13] [5, 13] [2, 8, 14, 2, 0] [2, 8, 2, 0] ---------------- = ------------ [5, 14, 13] [5, 13] [2, 10, 14, 1, 5] [2, 10, 1, 5] ----------------- = ------------- [5, 14, 13] [5, 13] [2, 12, 14, 0, 10] [2, 12, 0, 10] ------------------ = -------------- [5, 14, 13] [5, 13] [2, 14, 14, 0, 0] [2, 14, 0, 0] ----------------- = ------------- [5, 14, 13] [5, 13] denominator=, [6, 4, 4] [1, 13, 4, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [6, 4, 4] [6, 4] [4, 12, 4, 1, 0] [4, 12, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 10] [1, 5, 10] ------------- = ---------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 8] [5, 3, 8] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 7] [7, 2, 7] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 14] [8, 1, 14] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 13] [10, 0, 13] -------------- = ----------- [6, 6, 3] [6, 3] [11, 6, 0, 5] [11, 0, 5] ------------- = ---------- [6, 6, 3] [6, 3] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 8, 8] [1, 14, 8, 6, 0] [1, 14, 6, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [5, 0, 8, 2, 0] [5, 0, 2, 0] --------------- = ------------ [6, 8, 8] [6, 8] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 2] [2, 12, 8, 5] [2, 8, 5] ------------- = --------- [6, 12, 2] [6, 2] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 12, 8] [14, 12, 2, 5] [14, 2, 5] -------------- = ---------- [6, 12, 8] [6, 8] denominator=, [6, 12, 10] [2, 12, 11, 10] [2, 11, 10] --------------- = ----------- [6, 12, 10] [6, 10] [10, 12, 8, 5] [10, 8, 5] -------------- = ---------- [6, 12, 10] [6, 10] [14, 12, 6, 10] [14, 6, 10] --------------- = ----------- [6, 12, 10] [6, 10] [1, 3, 12, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [6, 12, 10] [6, 10] [1, 11, 12, 1, 10] [1, 11, 1, 10] ------------------ = -------------- [6, 12, 10] [6, 10] [2, 0, 12, 0, 0] [2, 0, 0, 0] ---------------- = ------------ [6, 12, 10] [6, 10] denominator=, [6, 12, 12] [14, 12, 11, 0] [14, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [2, 0, 12, 9, 0] [2, 0, 9, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [3, 1, 12, 7, 0] [3, 1, 7, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 2, 12, 5, 0] [4, 2, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [5, 3, 12, 3, 0] [5, 3, 3, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [6, 4, 12, 1, 0] [6, 4, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 14, 1] [14, 13, 0] [13, 0] ----------- = ------- [6, 14, 1] [6, 1] [1, 14, 11, 0] [1, 11, 0] -------------- = ---------- [6, 14, 1] [6, 1] [2, 14, 9, 0] [2, 9, 0] ------------- = --------- [6, 14, 1] [6, 1] [3, 14, 7, 0] [3, 7, 0] ------------- = --------- [6, 14, 1] [6, 1] [4, 14, 5, 0] [4, 5, 0] ------------- = --------- [6, 14, 1] [6, 1] [5, 14, 3, 0] [5, 3, 0] ------------- = --------- [6, 14, 1] [6, 1] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [7, 2, 0] [1, 2, 1, 12] [1, 1, 12] ------------- = ---------- [7, 2, 0] [7, 0] [3, 2, 1, 3] [3, 1, 3] ------------ = --------- [7, 2, 0] [7, 0] [5, 2, 0, 9] [5, 0, 9] ------------ = --------- [7, 2, 0] [7, 0] denominator=, [7, 2, 1] [2, 2, 1, 12] [2, 1, 12] ------------- = ---------- [7, 2, 1] [7, 1] [12, 2, 0, 3] [12, 0, 3] ------------- = ---------- [7, 2, 1] [7, 1] denominator=, [7, 6, 5] [2, 3, 6, 0, 0] [2, 3, 0, 0] --------------- = ------------ [7, 6, 5] [7, 5] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [1, 10, 8, 5] [1, 8, 5] ------------- = --------- [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 10, 6] [1, 10, 9, 10] [1, 9, 10] -------------- = ---------- [7, 10, 6] [7, 6] [13, 10, 2, 5] [13, 2, 5] -------------- = ---------- [7, 10, 6] [7, 6] denominator=, [7, 10, 7] [1, 1, 10, 2, 10] [1, 1, 2, 10] ----------------- = ------------- [7, 10, 7] [7, 7] denominator=, [7, 10, 9] [1, 10, 10, 5] [1, 10, 5] -------------- = ---------- [7, 10, 9] [7, 9] [4, 10, 9, 10] [4, 9, 10] -------------- = ---------- [7, 10, 9] [7, 9] [10, 10, 8, 5] [10, 8, 5] -------------- = ---------- [7, 10, 9] [7, 9] [13, 10, 7, 10] [13, 7, 10] --------------- = ----------- [7, 10, 9] [7, 9] [1, 1, 10, 7, 0] [1, 1, 7, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [1, 4, 10, 6, 5] [1, 4, 6, 5] ---------------- = ------------ [7, 10, 9] [7, 9] [1, 7, 10, 5, 10] [1, 7, 5, 10] ----------------- = ------------- [7, 10, 9] [7, 9] [1, 13, 10, 4, 5] [1, 13, 4, 5] ----------------- = ------------- [7, 10, 9] [7, 9] [2, 1, 10, 3, 10] [2, 1, 3, 10] ----------------- = ------------- [7, 10, 9] [7, 9] [2, 4, 10, 3, 0] [2, 4, 3, 0] ---------------- = ------------ [7, 10, 9] [7, 9] [2, 7, 10, 2, 5] [2, 7, 2, 5] ---------------- = ------------ [7, 10, 9] [7, 9] [2, 10, 10, 1, 10] [2, 10, 1, 10] ------------------ = -------------- [7, 10, 9] [7, 9] [3, 1, 10, 0, 5] [3, 1, 0, 5] ---------------- = ------------ [7, 10, 9] [7, 9] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 14, 1] [3, 14, 8, 0] [3, 8, 0] ------------- = --------- [7, 14, 1] [7, 1] denominator=, [7, 14, 3] [1, 14, 12, 0] [1, 12, 0] -------------- = ---------- [7, 14, 3] [7, 3] [3, 14, 9, 0] [3, 9, 0] ------------- = --------- [7, 14, 3] [7, 3] [5, 14, 6, 0] [5, 6, 0] ------------- = --------- [7, 14, 3] [7, 3] [9, 14, 0, 0] [9, 0, 0] ------------- = --------- [7, 14, 3] [7, 3] denominator=, [7, 14, 5] [3, 14, 10, 0] [3, 10, 0] -------------- = ---------- [7, 14, 5] [7, 5] [11, 14, 0, 0] [11, 0, 0] -------------- = ---------- [7, 14, 5] [7, 5] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 9] [3, 14, 12, 0] [3, 12, 0] -------------- = ---------- [7, 14, 9] [7, 9] [11, 14, 6, 0] [11, 6, 0] -------------- = ---------- [7, 14, 9] [7, 9] [1, 4, 14, 0, 0] [1, 4, 0, 0] ---------------- = ------------ [7, 14, 9] [7, 9] denominator=, [7, 14, 11] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [7, 14, 11] [7, 11] [3, 14, 13, 0] [3, 13, 0] -------------- = ---------- [7, 14, 11] [7, 11] [5, 14, 12, 0] [5, 12, 0] -------------- = ---------- [7, 14, 11] [7, 11] [9, 14, 10, 0] [9, 10, 0] -------------- = ---------- [7, 14, 11] [7, 11] [11, 14, 9, 0] [11, 9, 0] -------------- = ---------- [7, 14, 11] [7, 11] [13, 14, 8, 0] [13, 8, 0] -------------- = ---------- [7, 14, 11] [7, 11] [1, 2, 14, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [7, 14, 11] [7, 11] [1, 4, 14, 5, 0] [1, 4, 5, 0] ---------------- = ------------ [7, 14, 11] [7, 11] [1, 6, 14, 4, 0] [1, 6, 4, 0] ---------------- = ------------ [7, 14, 11] [7, 11] [1, 10, 14, 2, 0] [1, 10, 2, 0] ----------------- = ------------- [7, 14, 11] [7, 11] [1, 12, 14, 1, 0] [1, 12, 1, 0] ----------------- = ------------- [7, 14, 11] [7, 11] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [7, 14, 11] [7, 11] denominator=, [7, 14, 13] [3, 14, 14, 0] [3, 14, 0] -------------- = ---------- [7, 14, 13] [7, 13] [11, 14, 12, 0] [11, 12, 0] --------------- = ----------- [7, 14, 13] [7, 13] [1, 4, 14, 10, 0] [1, 4, 10, 0] ----------------- = ------------- [7, 14, 13] [7, 13] [1, 12, 14, 8, 0] [1, 12, 8, 0] ----------------- = ------------- [7, 14, 13] [7, 13] [2, 5, 14, 6, 0] [2, 5, 6, 0] ---------------- = ------------ [7, 14, 13] [7, 13] [2, 13, 14, 4, 0] [2, 13, 4, 0] ----------------- = ------------- [7, 14, 13] [7, 13] [3, 6, 14, 2, 0] [3, 6, 2, 0] ---------------- = ------------ [7, 14, 13] [7, 13] [3, 14, 14, 0, 0] [3, 14, 0, 0] ----------------- = ------------- [7, 14, 13] [7, 13] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 9] [2, 6, 9] ------------ = --------- [8, 8, 2] [8, 2] [6, 8, 3, 8] [6, 3, 8] ------------ = --------- [8, 8, 2] [8, 2] [10, 8, 0, 7] [10, 0, 7] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 11] [1, 7, 11] ------------- = ---------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 10] [3, 6, 10] ------------- = ---------- [8, 8, 4] [8, 4] [5, 8, 5, 9] [5, 5, 9] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 8] [7, 4, 8] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 7] [9, 3, 7] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 14] [10, 2, 14] -------------- = ----------- [8, 8, 4] [8, 4] [11, 8, 2, 6] [11, 2, 6] ------------- = ---------- [8, 8, 4] [8, 4] [13, 8, 1, 5] [13, 1, 5] ------------- = ---------- [8, 8, 4] [8, 4] [14, 8, 0, 12] [14, 0, 12] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 0, 4] [1, 0, 0, 4] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 12] [2, 7, 12] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 9] [6, 6, 9] ------------ = --------- [8, 8, 6] [8, 6] [10, 8, 5, 6] [10, 5, 6] ------------- = ---------- [8, 8, 6] [8, 6] [14, 8, 4, 3] [14, 4, 3] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 3, 0] [1, 3, 3, 0] --------------- = ------------ [8, 8, 6] [8, 6] [1, 7, 8, 1, 12] [1, 7, 1, 12] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 11, 8, 0, 9] [1, 11, 0, 9] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 10] [2, 9, 12, 0, 0] [2, 9, 0, 0] ---------------- = ------------ [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 13, 0] [3, 13, 7, 12] [3, 7, 12] -------------- = ---------- [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 13, 10] [3, 13, 12, 3] [3, 12, 3] -------------- = ---------- [8, 13, 10] [8, 10] [13, 13, 7, 12] [13, 7, 12] --------------- = ----------- [8, 13, 10] [8, 10] [1, 3, 13, 5, 9] [1, 3, 5, 9] ---------------- = ------------ [8, 13, 10] [8, 10] [1, 8, 13, 3, 6] [1, 8, 3, 6] ---------------- = ------------ [8, 13, 10] [8, 10] [1, 13, 13, 1, 3] [1, 13, 1, 3] ----------------- = ------------- [8, 13, 10] [8, 10] denominator=, [8, 14, 0] [14, 13, 5] [13, 5] ----------- = ------- [8, 14, 0] [8, 0] [1, 14, 11, 10] [1, 11, 10] --------------- = ----------- [8, 14, 0] [8, 0] [3, 14, 8, 5] [3, 8, 5] ------------- = --------- [8, 14, 0] [8, 0] [4, 14, 6, 10] [4, 6, 10] -------------- = ---------- [8, 14, 0] [8, 0] [6, 14, 3, 5] [6, 3, 5] ------------- = --------- [8, 14, 0] [8, 0] [7, 14, 1, 10] [7, 1, 10] -------------- = ---------- [8, 14, 0] [8, 0] denominator=, [8, 14, 3] [14, 13, 10] [13, 10] ------------ = -------- [8, 14, 3] [8, 3] [1, 14, 12, 5] [1, 12, 5] -------------- = ---------- [8, 14, 3] [8, 3] [3, 14, 9, 10] [3, 9, 10] -------------- = ---------- [8, 14, 3] [8, 3] [4, 14, 8, 5] [4, 8, 5] ------------- = --------- [8, 14, 3] [8, 3] [6, 14, 5, 10] [6, 5, 10] -------------- = ---------- [8, 14, 3] [8, 3] [7, 14, 4, 5] [7, 4, 5] ------------- = --------- [8, 14, 3] [8, 3] [9, 14, 1, 10] [9, 1, 10] -------------- = ---------- [8, 14, 3] [8, 3] [10, 14, 0, 5] [10, 0, 5] -------------- = ---------- [8, 14, 3] [8, 3] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 14, 9] [14, 14, 5] [14, 5] ----------- = ------- [8, 14, 9] [8, 9] [1, 14, 13, 10] [1, 13, 10] --------------- = ----------- [8, 14, 9] [8, 9] [3, 14, 12, 5] [3, 12, 5] -------------- = ---------- [8, 14, 9] [8, 9] [4, 14, 11, 10] [4, 11, 10] --------------- = ----------- [8, 14, 9] [8, 9] [6, 14, 10, 5] [6, 10, 5] -------------- = ---------- [8, 14, 9] [8, 9] [7, 14, 9, 10] [7, 9, 10] -------------- = ---------- [8, 14, 9] [8, 9] [9, 14, 8, 5] [9, 8, 5] ------------- = --------- [8, 14, 9] [8, 9] [10, 14, 7, 10] [10, 7, 10] --------------- = ----------- [8, 14, 9] [8, 9] [12, 14, 6, 5] [12, 6, 5] -------------- = ---------- [8, 14, 9] [8, 9] [13, 14, 5, 10] [13, 5, 10] --------------- = ----------- [8, 14, 9] [8, 9] [1, 0, 14, 4, 5] [1, 0, 4, 5] ---------------- = ------------ [8, 14, 9] [8, 9] [1, 1, 14, 3, 10] [1, 1, 3, 10] ----------------- = ------------- [8, 14, 9] [8, 9] [1, 3, 14, 2, 5] [1, 3, 2, 5] ---------------- = ------------ [8, 14, 9] [8, 9] [1, 4, 14, 1, 10] [1, 4, 1, 10] ----------------- = ------------- [8, 14, 9] [8, 9] [1, 6, 14, 0, 5] [1, 6, 0, 5] ---------------- = ------------ [8, 14, 9] [8, 9] denominator=, [8, 14, 12] [14, 14, 10] [14, 10] ------------ = -------- [8, 14, 12] [8, 12] [1, 14, 14, 5] [1, 14, 5] -------------- = ---------- [8, 14, 12] [8, 12] [3, 14, 13, 10] [3, 13, 10] --------------- = ----------- [8, 14, 12] [8, 12] [4, 14, 13, 5] [4, 13, 5] -------------- = ---------- [8, 14, 12] [8, 12] [6, 14, 12, 10] [6, 12, 10] --------------- = ----------- [8, 14, 12] [8, 12] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [8, 14, 12] [8, 12] [9, 14, 11, 10] [9, 11, 10] --------------- = ----------- [8, 14, 12] [8, 12] [10, 14, 11, 5] [10, 11, 5] --------------- = ----------- [8, 14, 12] [8, 12] [12, 14, 10, 10] [12, 10, 10] ---------------- = ------------ [8, 14, 12] [8, 12] [13, 14, 10, 5] [13, 10, 5] --------------- = ----------- [8, 14, 12] [8, 12] [1, 0, 14, 9, 10] [1, 0, 9, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [1, 1, 14, 9, 5] [1, 1, 9, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [1, 3, 14, 8, 10] [1, 3, 8, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [1, 4, 14, 8, 5] [1, 4, 8, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [1, 6, 14, 7, 10] [1, 6, 7, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [1, 7, 14, 7, 5] [1, 7, 7, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [1, 9, 14, 6, 10] [1, 9, 6, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [1, 10, 14, 6, 5] [1, 10, 6, 5] ----------------- = ------------- [8, 14, 12] [8, 12] [1, 12, 14, 5, 10] [1, 12, 5, 10] ------------------ = -------------- [8, 14, 12] [8, 12] [1, 13, 14, 5, 5] [1, 13, 5, 5] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 0, 14, 4, 10] [2, 0, 4, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 1, 14, 4, 5] [2, 1, 4, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [2, 3, 14, 3, 10] [2, 3, 3, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 4, 14, 3, 5] [2, 4, 3, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [2, 6, 14, 2, 10] [2, 6, 2, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 7, 14, 2, 5] [2, 7, 2, 5] ---------------- = ------------ [8, 14, 12] [8, 12] [2, 9, 14, 1, 10] [2, 9, 1, 10] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 10, 14, 1, 5] [2, 10, 1, 5] ----------------- = ------------- [8, 14, 12] [8, 12] [2, 12, 14, 0, 10] [2, 12, 0, 10] ------------------ = -------------- [8, 14, 12] [8, 12] [2, 13, 14, 0, 5] [2, 13, 0, 5] ----------------- = ------------- [8, 14, 12] [8, 12] denominator=, [9, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [9, 2, 1] [9, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [9, 2, 1] [9, 1] denominator=, [9, 6, 5] [1, 5, 6, 3, 5] [1, 5, 3, 5] --------------- = ------------ [9, 6, 5] [9, 5] [2, 12, 6, 0, 0] [2, 12, 0, 0] ---------------- = ------------- [9, 6, 5] [9, 5] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 14] [12, 0, 14] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 13] [12, 4, 13] -------------- = ----------- [9, 9, 6] [9, 6] [1, 0, 9, 3, 11] [1, 0, 3, 11] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 1, 7] [1, 6, 1, 7] --------------- = ------------ [9, 9, 6] [9, 6] [1, 9, 9, 0, 5] [1, 9, 0, 5] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 10, 9] [1, 11, 10, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [9, 10, 9] [9, 9] [2, 13, 10, 3, 0] [2, 13, 3, 0] ----------------- = ------------- [9, 10, 9] [9, 9] [4, 0, 10, 0, 0] [4, 0, 0, 0] ---------------- = ------------ [9, 10, 9] [9, 9] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 14, 1] [14, 13, 9] [13, 9] ----------- = ------- [9, 14, 1] [9, 1] [2, 14, 10, 12] [2, 10, 12] --------------- = ----------- [9, 14, 1] [9, 1] [4, 14, 8, 0] [4, 8, 0] ------------- = --------- [9, 14, 1] [9, 1] [6, 14, 5, 3] [6, 5, 3] ------------- = --------- [9, 14, 1] [9, 1] [8, 14, 2, 6] [8, 2, 6] ------------- = --------- [9, 14, 1] [9, 1] denominator=, [9, 14, 3] [14, 13, 12] [13, 12] ------------ = -------- [9, 14, 3] [9, 3] [2, 14, 11, 6] [2, 11, 6] -------------- = ---------- [9, 14, 3] [9, 3] [4, 14, 9, 0] [4, 9, 0] ------------- = --------- [9, 14, 3] [9, 3] [6, 14, 6, 9] [6, 6, 9] ------------- = --------- [9, 14, 3] [9, 3] [8, 14, 4, 3] [8, 4, 3] ------------- = --------- [9, 14, 3] [9, 3] [10, 14, 1, 12] [10, 1, 12] --------------- = ----------- [9, 14, 3] [9, 3] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 14, 7] [14, 14, 3] [14, 3] ----------- = ------- [9, 14, 7] [9, 7] [2, 14, 12, 9] [2, 12, 9] -------------- = ---------- [9, 14, 7] [9, 7] [4, 14, 11, 0] [4, 11, 0] -------------- = ---------- [9, 14, 7] [9, 7] [6, 14, 9, 6] [6, 9, 6] ------------- = --------- [9, 14, 7] [9, 7] [8, 14, 7, 12] [8, 7, 12] -------------- = ---------- [9, 14, 7] [9, 7] [10, 14, 6, 3] [10, 6, 3] -------------- = ---------- [9, 14, 7] [9, 7] [12, 14, 4, 9] [12, 4, 9] -------------- = ---------- [9, 14, 7] [9, 7] [14, 14, 3, 0] [14, 3, 0] -------------- = ---------- [9, 14, 7] [9, 7] [1, 1, 14, 1, 6] [1, 1, 1, 6] ---------------- = ------------ [9, 14, 7] [9, 7] denominator=, [9, 14, 9] [14, 14, 6] [14, 6] ----------- = ------- [9, 14, 9] [9, 9] [2, 14, 13, 3] [2, 13, 3] -------------- = ---------- [9, 14, 9] [9, 9] [4, 14, 12, 0] [4, 12, 0] -------------- = ---------- [9, 14, 9] [9, 9] [6, 14, 10, 12] [6, 10, 12] --------------- = ----------- [9, 14, 9] [9, 9] [8, 14, 9, 9] [8, 9, 9] ------------- = --------- [9, 14, 9] [9, 9] [10, 14, 8, 6] [10, 8, 6] -------------- = ---------- [9, 14, 9] [9, 9] [12, 14, 7, 3] [12, 7, 3] -------------- = ---------- [9, 14, 9] [9, 9] [14, 14, 6, 0] [14, 6, 0] -------------- = ---------- [9, 14, 9] [9, 9] [1, 1, 14, 4, 12] [1, 1, 4, 12] ----------------- = ------------- [9, 14, 9] [9, 9] [1, 3, 14, 3, 9] [1, 3, 3, 9] ---------------- = ------------ [9, 14, 9] [9, 9] [1, 5, 14, 2, 6] [1, 5, 2, 6] ---------------- = ------------ [9, 14, 9] [9, 9] [1, 7, 14, 1, 3] [1, 7, 1, 3] ---------------- = ------------ [9, 14, 9] [9, 9] [1, 9, 14, 0, 0] [1, 9, 0, 0] ---------------- = ------------ [9, 14, 9] [9, 9] denominator=, [9, 14, 11] [14, 14, 9] [14, 9] ----------- = ------- [9, 14, 11] [9, 11] [2, 14, 13, 12] [2, 13, 12] --------------- = ----------- [9, 14, 11] [9, 11] [4, 14, 13, 0] [4, 13, 0] -------------- = ---------- [9, 14, 11] [9, 11] [6, 14, 12, 3] [6, 12, 3] -------------- = ---------- [9, 14, 11] [9, 11] [8, 14, 11, 6] [8, 11, 6] -------------- = ---------- [9, 14, 11] [9, 11] [10, 14, 10, 9] [10, 10, 9] --------------- = ----------- [9, 14, 11] [9, 11] [12, 14, 9, 12] [12, 9, 12] --------------- = ----------- [9, 14, 11] [9, 11] [14, 14, 9, 0] [14, 9, 0] -------------- = ---------- [9, 14, 11] [9, 11] [1, 1, 14, 8, 3] [1, 1, 8, 3] ---------------- = ------------ [9, 14, 11] [9, 11] [1, 3, 14, 7, 6] [1, 3, 7, 6] ---------------- = ------------ [9, 14, 11] [9, 11] [1, 5, 14, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [9, 14, 11] [9, 11] [1, 7, 14, 5, 12] [1, 7, 5, 12] ----------------- = ------------- [9, 14, 11] [9, 11] [1, 9, 14, 5, 0] [1, 9, 5, 0] ---------------- = ------------ [9, 14, 11] [9, 11] [1, 11, 14, 4, 3] [1, 11, 4, 3] ----------------- = ------------- [9, 14, 11] [9, 11] [1, 13, 14, 3, 6] [1, 13, 3, 6] ----------------- = ------------- [9, 14, 11] [9, 11] [2, 0, 14, 2, 9] [2, 0, 2, 9] ---------------- = ------------ [9, 14, 11] [9, 11] [2, 2, 14, 1, 12] [2, 2, 1, 12] ----------------- = ------------- [9, 14, 11] [9, 11] [2, 4, 14, 1, 0] [2, 4, 1, 0] ---------------- = ------------ [9, 14, 11] [9, 11] [2, 6, 14, 0, 3] [2, 6, 0, 3] ---------------- = ------------ [9, 14, 11] [9, 11] denominator=, [9, 14, 13] [14, 14, 12] [14, 12] ------------ = -------- [9, 14, 13] [9, 13] [2, 14, 14, 6] [2, 14, 6] -------------- = ---------- [9, 14, 13] [9, 13] [4, 14, 14, 0] [4, 14, 0] -------------- = ---------- [9, 14, 13] [9, 13] [6, 14, 13, 9] [6, 13, 9] -------------- = ---------- [9, 14, 13] [9, 13] [8, 14, 13, 3] [8, 13, 3] -------------- = ---------- [9, 14, 13] [9, 13] [10, 14, 12, 12] [10, 12, 12] ---------------- = ------------ [9, 14, 13] [9, 13] [12, 14, 12, 6] [12, 12, 6] --------------- = ----------- [9, 14, 13] [9, 13] [14, 14, 12, 0] [14, 12, 0] --------------- = ----------- [9, 14, 13] [9, 13] [1, 1, 14, 11, 9] [1, 1, 11, 9] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 3, 14, 11, 3] [1, 3, 11, 3] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 5, 14, 10, 12] [1, 5, 10, 12] ------------------ = -------------- [9, 14, 13] [9, 13] [1, 7, 14, 10, 6] [1, 7, 10, 6] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 9, 14, 10, 0] [1, 9, 10, 0] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 11, 14, 9, 9] [1, 11, 9, 9] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 13, 14, 9, 3] [1, 13, 9, 3] ----------------- = ------------- [9, 14, 13] [9, 13] [2, 0, 14, 8, 12] [2, 0, 8, 12] ----------------- = ------------- [9, 14, 13] [9, 13] [2, 2, 14, 8, 6] [2, 2, 8, 6] ---------------- = ------------ [9, 14, 13] [9, 13] [2, 4, 14, 8, 0] [2, 4, 8, 0] ---------------- = ------------ [9, 14, 13] [9, 13] [2, 6, 14, 7, 9] [2, 6, 7, 9] ---------------- = ------------ [9, 14, 13] [9, 13] [2, 8, 14, 7, 3] [2, 8, 7, 3] ---------------- = ------------ [9, 14, 13] [9, 13] [2, 10, 14, 6, 12] [2, 10, 6, 12] ------------------ = -------------- [9, 14, 13] [9, 13] [2, 12, 14, 6, 6] [2, 12, 6, 6] ----------------- = ------------- [9, 14, 13] [9, 13] [2, 14, 14, 6, 0] [2, 14, 6, 0] ----------------- = ------------- [9, 14, 13] [9, 13] [3, 1, 14, 5, 9] [3, 1, 5, 9] ---------------- = ------------ [9, 14, 13] [9, 13] [3, 3, 14, 5, 3] [3, 3, 5, 3] ---------------- = ------------ [9, 14, 13] [9, 13] [3, 5, 14, 4, 12] [3, 5, 4, 12] ----------------- = ------------- [9, 14, 13] [9, 13] [3, 7, 14, 4, 6] [3, 7, 4, 6] ---------------- = ------------ [9, 14, 13] [9, 13] [3, 9, 14, 4, 0] [3, 9, 4, 0] ---------------- = ------------ [9, 14, 13] [9, 13] [3, 11, 14, 3, 9] [3, 11, 3, 9] ----------------- = ------------- [9, 14, 13] [9, 13] [3, 13, 14, 3, 3] [3, 13, 3, 3] ----------------- = ------------- [9, 14, 13] [9, 13] [4, 0, 14, 2, 12] [4, 0, 2, 12] ----------------- = ------------- [9, 14, 13] [9, 13] [4, 2, 14, 2, 6] [4, 2, 2, 6] ---------------- = ------------ [9, 14, 13] [9, 13] [4, 4, 14, 2, 0] [4, 4, 2, 0] ---------------- = ------------ [9, 14, 13] [9, 13] [4, 6, 14, 1, 9] [4, 6, 1, 9] ---------------- = ------------ [9, 14, 13] [9, 13] [4, 8, 14, 1, 3] [4, 8, 1, 3] ---------------- = ------------ [9, 14, 13] [9, 13] [4, 10, 14, 0, 12] [4, 10, 0, 12] ------------------ = -------------- [9, 14, 13] [9, 13] [4, 12, 14, 0, 6] [4, 12, 0, 6] ----------------- = ------------- [9, 14, 13] [9, 13] [4, 14, 14, 0, 0] [4, 14, 0, 0] ----------------- = ------------- [9, 14, 13] [9, 13] denominator=, [10, 4, 0] [2, 4, 3, 5] [2, 3, 5] ------------ = --------- [10, 4, 0] [10, 0] [6, 4, 1, 10] [6, 1, 10] ------------- = ---------- [10, 4, 0] [10, 0] denominator=, [10, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [10, 4, 2] [10, 2] [4, 4, 3, 5] [4, 3, 5] ------------ = --------- [10, 4, 2] [10, 2] [7, 4, 2, 10] [7, 2, 10] ------------- = ---------- [10, 4, 2] [10, 2] [13, 4, 1, 5] [13, 1, 5] ------------- = ---------- [10, 4, 2] [10, 2] [1, 1, 4, 0, 10] [1, 1, 0, 10] ---------------- = ------------- [10, 4, 2] [10, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [10, 4, 2] [10, 2] denominator=, [10, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [10, 4, 3] [10, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [10, 4, 3] [10, 3] [1, 11, 4, 1, 0] [1, 11, 1, 0] ---------------- = ------------- [10, 4, 3] [10, 3] denominator=, [10, 4, 4] [1, 7, 4, 3, 10] [1, 7, 3, 10] ---------------- = ------------- [10, 4, 4] [10, 4] [3, 1, 4, 3, 0] [3, 1, 3, 0] --------------- = ------------ [10, 4, 4] [10, 4] [4, 10, 4, 2, 5] [4, 10, 2, 5] ---------------- = ------------- [10, 4, 4] [10, 4] [6, 4, 4, 1, 10] [6, 4, 1, 10] ---------------- = ------------- [10, 4, 4] [10, 4] [7, 13, 4, 1, 0] [7, 13, 1, 0] ---------------- = ------------- [10, 4, 4] [10, 4] [9, 7, 4, 0, 5] [9, 7, 0, 5] --------------- = ------------ [10, 4, 4] [10, 4] denominator=, [10, 7, 4] [7, 7, 5] [7, 5] ---------- = ------- [10, 7, 4] [10, 4] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [10, 7, 4] [10, 4] [2, 7, 6, 10] [2, 6, 10] ------------- = ---------- [10, 7, 4] [10, 4] [4, 7, 6, 0] [4, 6, 0] ------------ = --------- [10, 7, 4] [10, 4] [5, 7, 5, 10] [5, 5, 10] ------------- = ---------- [10, 7, 4] [10, 4] [6, 7, 5, 5] [6, 5, 5] ------------ = --------- [10, 7, 4] [10, 4] [7, 7, 5, 0] [7, 5, 0] ------------ = --------- [10, 7, 4] [10, 4] [8, 7, 4, 10] [8, 4, 10] ------------- = ---------- [10, 7, 4] [10, 4] [9, 7, 4, 5] [9, 4, 5] ------------ = --------- [10, 7, 4] [10, 4] [11, 7, 3, 10] [11, 3, 10] -------------- = ----------- [10, 7, 4] [10, 4] [12, 7, 3, 5] [12, 3, 5] ------------- = ---------- [10, 7, 4] [10, 4] [13, 7, 3, 0] [13, 3, 0] ------------- = ---------- [10, 7, 4] [10, 4] [14, 7, 2, 10] [14, 2, 10] -------------- = ----------- [10, 7, 4] [10, 4] [1, 0, 7, 2, 5] [1, 0, 2, 5] --------------- = ------------ [10, 7, 4] [10, 4] [1, 1, 7, 2, 0] [1, 1, 2, 0] --------------- = ------------ [10, 7, 4] [10, 4] [1, 3, 7, 1, 5] [1, 3, 1, 5] --------------- = ------------ [10, 7, 4] [10, 4] [1, 4, 7, 1, 0] [1, 4, 1, 0] --------------- = ------------ [10, 7, 4] [10, 4] [1, 5, 7, 0, 10] [1, 5, 0, 10] ---------------- = ------------- [10, 7, 4] [10, 4] [1, 6, 7, 0, 5] [1, 6, 0, 5] --------------- = ------------ [10, 7, 4] [10, 4] [1, 7, 7, 0, 0] [1, 7, 0, 0] --------------- = ------------ [10, 7, 4] [10, 4] denominator=, [10, 8, 8] [3, 2, 8, 6, 0] [3, 2, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [8, 1, 8, 2, 0] [8, 1, 2, 0] --------------- = ------------ [10, 8, 8] [10, 8] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 12] [1, 9, 12] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 11] [3, 8, 11] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 9] [7, 6, 9] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 8] [9, 5, 8] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 7] [11, 4, 7] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 14] [12, 3, 14] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 6] [13, 3, 6] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 13] [14, 2, 13] --------------- = ----------- [10, 10, 5] [10, 5] [1, 1, 10, 1, 12] [1, 1, 1, 12] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 1, 4] [1, 2, 1, 4] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 3, 10, 0, 11] [1, 3, 0, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 0, 3] [1, 4, 0, 3] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 12, 10] [1, 14, 12, 5, 0] [1, 14, 5, 0] ----------------- = ------------- [10, 12, 10] [10, 10] [3, 3, 12, 0, 0] [3, 3, 0, 0] ---------------- = ------------ [10, 12, 10] [10, 10] denominator=, [10, 12, 12] [3, 3, 12, 9, 0] [3, 3, 9, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [8, 4, 12, 3, 0] [8, 4, 3, 0] ---------------- = ------------ [10, 12, 12] [10, 12] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 13, 9] [1, 12, 13, 1, 5] [1, 12, 1, 5] ----------------- = ------------- [10, 13, 9] [10, 9] denominator=, [10, 13, 12] [1, 12, 13, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [10, 13, 12] [10, 12] [2, 14, 13, 6, 0] [2, 14, 6, 0] ----------------- = ------------- [10, 13, 12] [10, 12] [5, 3, 13, 0, 0] [5, 3, 0, 0] ---------------- = ------------ [10, 13, 12] [10, 12] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [11, 6, 1] [3, 6, 4, 12] [3, 4, 12] ------------- = ---------- [11, 6, 1] [11, 1] denominator=, [11, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [11, 6, 3] [11, 3] [3, 6, 5, 6] [3, 5, 6] ------------ = --------- [11, 6, 3] [11, 3] [5, 6, 4, 12] [5, 4, 12] ------------- = ---------- [11, 6, 3] [11, 3] [7, 6, 4, 3] [7, 4, 3] ------------ = --------- [11, 6, 3] [11, 3] [9, 6, 3, 9] [9, 3, 9] ------------ = --------- [11, 6, 3] [11, 3] [13, 6, 2, 6] [13, 2, 6] ------------- = ---------- [11, 6, 3] [11, 3] [1, 0, 6, 1, 12] [1, 0, 1, 12] ---------------- = ------------- [11, 6, 3] [11, 3] [1, 2, 6, 1, 3] [1, 2, 1, 3] --------------- = ------------ [11, 6, 3] [11, 3] [1, 4, 6, 0, 9] [1, 4, 0, 9] --------------- = ------------ [11, 6, 3] [11, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [11, 6, 3] [11, 3] denominator=, [11, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [11, 6, 5] [11, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [11, 6, 5] [11, 5] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [11, 6, 5] [11, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [11, 6, 5] [11, 5] denominator=, [11, 8, 0] [2, 8, 6, 10] [2, 6, 10] ------------- = ---------- [11, 8, 0] [11, 0] denominator=, [11, 8, 3] [2, 8, 7, 5] [2, 7, 5] ------------ = --------- [11, 8, 3] [11, 3] denominator=, [11, 8, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [11, 8, 6] [11, 6] [5, 8, 7, 5] [5, 7, 5] ------------ = --------- [11, 8, 6] [11, 6] [8, 8, 6, 10] [8, 6, 10] ------------- = ---------- [11, 8, 6] [11, 6] [14, 8, 5, 5] [14, 5, 5] ------------- = ---------- [11, 8, 6] [11, 6] [1, 2, 8, 4, 10] [1, 2, 4, 10] ---------------- = ------------- [11, 8, 6] [11, 6] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [11, 8, 6] [11, 6] [1, 8, 8, 3, 5] [1, 8, 3, 5] --------------- = ------------ [11, 8, 6] [11, 6] [1, 11, 8, 2, 10] [1, 11, 2, 10] ----------------- = -------------- [11, 8, 6] [11, 6] [1, 14, 8, 2, 0] [1, 14, 2, 0] ---------------- = ------------- [11, 8, 6] [11, 6] [2, 2, 8, 1, 5] [2, 2, 1, 5] --------------- = ------------ [11, 8, 6] [11, 6] [2, 5, 8, 0, 10] [2, 5, 0, 10] ---------------- = ------------- [11, 8, 6] [11, 6] denominator=, [11, 10, 9] [3, 7, 10, 3, 0] [3, 7, 3, 0] ---------------- = ------------ [11, 10, 9] [11, 9] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 14, 1] [1, 14, 12, 10] [1, 12, 10] --------------- = ----------- [11, 14, 1] [11, 1] [5, 14, 8, 0] [5, 8, 0] ------------- = --------- [11, 14, 1] [11, 1] [9, 14, 3, 5] [9, 3, 5] ------------- = --------- [11, 14, 1] [11, 1] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 14, 5] [1, 14, 13, 5] [1, 13, 5] -------------- = ---------- [11, 14, 5] [11, 5] [5, 14, 10, 0] [5, 10, 0] -------------- = ---------- [11, 14, 5] [11, 5] [9, 14, 6, 10] [9, 6, 10] -------------- = ---------- [11, 14, 5] [11, 5] [13, 14, 3, 5] [13, 3, 5] -------------- = ---------- [11, 14, 5] [11, 5] [1, 2, 14, 0, 0] [1, 2, 0, 0] ---------------- = ------------ [11, 14, 5] [11, 5] denominator=, [11, 14, 7] [14, 14, 5] [14, 5] ----------- = ------- [11, 14, 7] [11, 7] [1, 14, 13, 10] [1, 13, 10] --------------- = ----------- [11, 14, 7] [11, 7] [2, 14, 13, 0] [2, 13, 0] -------------- = ---------- [11, 14, 7] [11, 7] [4, 14, 11, 10] [4, 11, 10] --------------- = ----------- [11, 14, 7] [11, 7] [5, 14, 11, 0] [5, 11, 0] -------------- = ---------- [11, 14, 7] [11, 7] [6, 14, 10, 5] [6, 10, 5] -------------- = ---------- [11, 14, 7] [11, 7] [8, 14, 9, 0] [8, 9, 0] ------------- = --------- [11, 14, 7] [11, 7] [9, 14, 8, 5] [9, 8, 5] ------------- = --------- [11, 14, 7] [11, 7] [10, 14, 7, 10] [10, 7, 10] --------------- = ----------- [11, 14, 7] [11, 7] [12, 14, 6, 5] [12, 6, 5] -------------- = ---------- [11, 14, 7] [11, 7] [13, 14, 5, 10] [13, 5, 10] --------------- = ----------- [11, 14, 7] [11, 7] [14, 14, 5, 0] [14, 5, 0] -------------- = ---------- [11, 14, 7] [11, 7] [1, 1, 14, 3, 10] [1, 1, 3, 10] ----------------- = ------------- [11, 14, 7] [11, 7] [1, 2, 14, 3, 0] [1, 2, 3, 0] ---------------- = ------------ [11, 14, 7] [11, 7] [1, 3, 14, 2, 5] [1, 3, 2, 5] ---------------- = ------------ [11, 14, 7] [11, 7] [1, 5, 14, 1, 0] [1, 5, 1, 0] ---------------- = ------------ [11, 14, 7] [11, 7] [1, 6, 14, 0, 5] [1, 6, 0, 5] ---------------- = ------------ [11, 14, 7] [11, 7] denominator=, [11, 14, 9] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [11, 14, 9] [11, 9] [5, 14, 12, 0] [5, 12, 0] -------------- = ---------- [11, 14, 9] [11, 9] [9, 14, 10, 0] [9, 10, 0] -------------- = ---------- [11, 14, 9] [11, 9] [13, 14, 8, 0] [13, 8, 0] -------------- = ---------- [11, 14, 9] [11, 9] [1, 2, 14, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [11, 14, 9] [11, 9] [1, 6, 14, 4, 0] [1, 6, 4, 0] ---------------- = ------------ [11, 14, 9] [11, 9] [1, 10, 14, 2, 0] [1, 10, 2, 0] ----------------- = ------------- [11, 14, 9] [11, 9] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [11, 14, 9] [11, 9] denominator=, [11, 14, 11] [14, 14, 10] [14, 10] ------------ = -------- [11, 14, 11] [11, 11] [1, 14, 14, 5] [1, 14, 5] -------------- = ---------- [11, 14, 11] [11, 11] [2, 14, 14, 0] [2, 14, 0] -------------- = ---------- [11, 14, 11] [11, 11] [4, 14, 13, 5] [4, 13, 5] -------------- = ---------- [11, 14, 11] [11, 11] [5, 14, 13, 0] [5, 13, 0] -------------- = ---------- [11, 14, 11] [11, 11] [6, 14, 12, 10] [6, 12, 10] --------------- = ----------- [11, 14, 11] [11, 11] [8, 14, 12, 0] [8, 12, 0] -------------- = ---------- [11, 14, 11] [11, 11] [9, 14, 11, 10] [9, 11, 10] --------------- = ----------- [11, 14, 11] [11, 11] [10, 14, 11, 5] [10, 11, 5] --------------- = ----------- [11, 14, 11] [11, 11] [12, 14, 10, 10] [12, 10, 10] ---------------- = ------------ [11, 14, 11] [11, 11] [13, 14, 10, 5] [13, 10, 5] --------------- = ----------- [11, 14, 11] [11, 11] [14, 14, 10, 0] [14, 10, 0] --------------- = ----------- [11, 14, 11] [11, 11] [1, 1, 14, 9, 5] [1, 1, 9, 5] ---------------- = ------------ [11, 14, 11] [11, 11] [1, 2, 14, 9, 0] [1, 2, 9, 0] ---------------- = ------------ [11, 14, 11] [11, 11] [1, 3, 14, 8, 10] [1, 3, 8, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 5, 14, 8, 0] [1, 5, 8, 0] ---------------- = ------------ [11, 14, 11] [11, 11] [1, 6, 14, 7, 10] [1, 6, 7, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 7, 14, 7, 5] [1, 7, 7, 5] ---------------- = ------------ [11, 14, 11] [11, 11] [1, 9, 14, 6, 10] [1, 9, 6, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 10, 14, 6, 5] [1, 10, 6, 5] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 11, 14, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 13, 14, 5, 5] [1, 13, 5, 5] ----------------- = ------------- [11, 14, 11] [11, 11] [1, 14, 14, 5, 0] [1, 14, 5, 0] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 0, 14, 4, 10] [2, 0, 4, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 2, 14, 4, 0] [2, 2, 4, 0] ---------------- = ------------ [11, 14, 11] [11, 11] [2, 3, 14, 3, 10] [2, 3, 3, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 4, 14, 3, 5] [2, 4, 3, 5] ---------------- = ------------ [11, 14, 11] [11, 11] [2, 6, 14, 2, 10] [2, 6, 2, 10] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 7, 14, 2, 5] [2, 7, 2, 5] ---------------- = ------------ [11, 14, 11] [11, 11] [2, 8, 14, 2, 0] [2, 8, 2, 0] ---------------- = ------------ [11, 14, 11] [11, 11] [2, 10, 14, 1, 5] [2, 10, 1, 5] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 11, 14, 1, 0] [2, 11, 1, 0] ----------------- = ------------- [11, 14, 11] [11, 11] [2, 12, 14, 0, 10] [2, 12, 0, 10] ------------------ = -------------- [11, 14, 11] [11, 11] [2, 14, 14, 0, 0] [2, 14, 0, 0] ----------------- = ------------- [11, 14, 11] [11, 11] denominator=, [11, 14, 13] [1, 14, 14, 10] [1, 14, 10] --------------- = ----------- [11, 14, 13] [11, 13] [5, 14, 14, 0] [5, 14, 0] -------------- = ---------- [11, 14, 13] [11, 13] [9, 14, 13, 5] [9, 13, 5] -------------- = ---------- [11, 14, 13] [11, 13] [13, 14, 12, 10] [13, 12, 10] ---------------- = ------------ [11, 14, 13] [11, 13] [1, 2, 14, 12, 0] [1, 2, 12, 0] ----------------- = ------------- [11, 14, 13] [11, 13] [1, 6, 14, 11, 5] [1, 6, 11, 5] ----------------- = ------------- [11, 14, 13] [11, 13] [1, 10, 14, 10, 10] [1, 10, 10, 10] ------------------- = --------------- [11, 14, 13] [11, 13] [1, 14, 14, 10, 0] [1, 14, 10, 0] ------------------ = -------------- [11, 14, 13] [11, 13] [2, 3, 14, 9, 5] [2, 3, 9, 5] ---------------- = ------------ [11, 14, 13] [11, 13] [2, 7, 14, 8, 10] [2, 7, 8, 10] ----------------- = ------------- [11, 14, 13] [11, 13] [2, 11, 14, 8, 0] [2, 11, 8, 0] ----------------- = ------------- [11, 14, 13] [11, 13] [3, 0, 14, 7, 5] [3, 0, 7, 5] ---------------- = ------------ [11, 14, 13] [11, 13] [3, 4, 14, 6, 10] [3, 4, 6, 10] ----------------- = ------------- [11, 14, 13] [11, 13] [3, 8, 14, 6, 0] [3, 8, 6, 0] ---------------- = ------------ [11, 14, 13] [11, 13] [3, 12, 14, 5, 5] [3, 12, 5, 5] ----------------- = ------------- [11, 14, 13] [11, 13] [4, 1, 14, 4, 10] [4, 1, 4, 10] ----------------- = ------------- [11, 14, 13] [11, 13] [4, 5, 14, 4, 0] [4, 5, 4, 0] ---------------- = ------------ [11, 14, 13] [11, 13] [4, 9, 14, 3, 5] [4, 9, 3, 5] ---------------- = ------------ [11, 14, 13] [11, 13] [4, 13, 14, 2, 10] [4, 13, 2, 10] ------------------ = -------------- [11, 14, 13] [11, 13] [5, 2, 14, 2, 0] [5, 2, 2, 0] ---------------- = ------------ [11, 14, 13] [11, 13] [5, 6, 14, 1, 5] [5, 6, 1, 5] ---------------- = ------------ [11, 14, 13] [11, 13] [5, 10, 14, 0, 10] [5, 10, 0, 10] ------------------ = -------------- [11, 14, 13] [11, 13] [5, 14, 14, 0, 0] [5, 14, 0, 0] ----------------- = ------------- [11, 14, 13] [11, 13] denominator=, [12, 3, 3] [2, 1, 3, 2, 10] [2, 1, 2, 10] ---------------- = ------------- [12, 3, 3] [12, 3] [3, 5, 3, 2, 5] [3, 5, 2, 5] --------------- = ------------ [12, 3, 3] [12, 3] [5, 13, 3, 1, 10] [5, 13, 1, 10] ----------------- = -------------- [12, 3, 3] [12, 3] [7, 2, 3, 1, 5] [7, 2, 1, 5] --------------- = ------------ [12, 3, 3] [12, 3] [9, 10, 3, 0, 10] [9, 10, 0, 10] ----------------- = -------------- [12, 3, 3] [12, 3] [10, 14, 3, 0, 5] [10, 14, 0, 5] ----------------- = -------------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] denominator=, [12, 7, 0] [7, 7, 3] [7, 3] ---------- = ------- [12, 7, 0] [12, 0] [1, 7, 6, 9] [1, 6, 9] ------------ = --------- [12, 7, 0] [12, 0] [3, 7, 5, 6] [3, 5, 6] ------------ = --------- [12, 7, 0] [12, 0] [4, 7, 4, 12] [4, 4, 12] ------------- = ---------- [12, 7, 0] [12, 0] [5, 7, 4, 3] [5, 4, 3] ------------ = --------- [12, 7, 0] [12, 0] [6, 7, 3, 9] [6, 3, 9] ------------ = --------- [12, 7, 0] [12, 0] [8, 7, 2, 6] [8, 2, 6] ------------ = --------- [12, 7, 0] [12, 0] [9, 7, 1, 12] [9, 1, 12] ------------- = ---------- [12, 7, 0] [12, 0] [10, 7, 1, 3] [10, 1, 3] ------------- = ---------- [12, 7, 0] [12, 0] [11, 7, 0, 9] [11, 0, 9] ------------- = ---------- [12, 7, 0] [12, 0] denominator=, [12, 7, 5] [7, 7, 6] [7, 6] ---------- = ------- [12, 7, 5] [12, 5] [1, 7, 7, 3] [1, 7, 3] ------------ = --------- [12, 7, 5] [12, 5] [3, 7, 6, 12] [3, 6, 12] ------------- = ---------- [12, 7, 5] [12, 5] [4, 7, 6, 9] [4, 6, 9] ------------ = --------- [12, 7, 5] [12, 5] [5, 7, 6, 6] [5, 6, 6] ------------ = --------- [12, 7, 5] [12, 5] [6, 7, 6, 3] [6, 6, 3] ------------ = --------- [12, 7, 5] [12, 5] [8, 7, 5, 12] [8, 5, 12] ------------- = ---------- [12, 7, 5] [12, 5] [9, 7, 5, 9] [9, 5, 9] ------------ = --------- [12, 7, 5] [12, 5] [10, 7, 5, 6] [10, 5, 6] ------------- = ---------- [12, 7, 5] [12, 5] [11, 7, 5, 3] [11, 5, 3] ------------- = ---------- [12, 7, 5] [12, 5] [13, 7, 4, 12] [13, 4, 12] -------------- = ----------- [12, 7, 5] [12, 5] [14, 7, 4, 9] [14, 4, 9] ------------- = ---------- [12, 7, 5] [12, 5] [1, 0, 7, 4, 6] [1, 0, 4, 6] --------------- = ------------ [12, 7, 5] [12, 5] [1, 1, 7, 4, 3] [1, 1, 4, 3] --------------- = ------------ [12, 7, 5] [12, 5] [1, 3, 7, 3, 12] [1, 3, 3, 12] ---------------- = ------------- [12, 7, 5] [12, 5] [1, 4, 7, 3, 9] [1, 4, 3, 9] --------------- = ------------ [12, 7, 5] [12, 5] [1, 5, 7, 3, 6] [1, 5, 3, 6] --------------- = ------------ [12, 7, 5] [12, 5] [1, 6, 7, 3, 3] [1, 6, 3, 3] --------------- = ------------ [12, 7, 5] [12, 5] [1, 8, 7, 2, 12] [1, 8, 2, 12] ---------------- = ------------- [12, 7, 5] [12, 5] [1, 9, 7, 2, 9] [1, 9, 2, 9] --------------- = ------------ [12, 7, 5] [12, 5] [1, 10, 7, 2, 6] [1, 10, 2, 6] ---------------- = ------------- [12, 7, 5] [12, 5] [1, 11, 7, 2, 3] [1, 11, 2, 3] ---------------- = ------------- [12, 7, 5] [12, 5] [1, 13, 7, 1, 12] [1, 13, 1, 12] ----------------- = -------------- [12, 7, 5] [12, 5] [1, 14, 7, 1, 9] [1, 14, 1, 9] ---------------- = ------------- [12, 7, 5] [12, 5] [2, 0, 7, 1, 6] [2, 0, 1, 6] --------------- = ------------ [12, 7, 5] [12, 5] [2, 1, 7, 1, 3] [2, 1, 1, 3] --------------- = ------------ [12, 7, 5] [12, 5] [2, 3, 7, 0, 12] [2, 3, 0, 12] ---------------- = ------------- [12, 7, 5] [12, 5] [2, 4, 7, 0, 9] [2, 4, 0, 9] --------------- = ------------ [12, 7, 5] [12, 5] [2, 5, 7, 0, 6] [2, 5, 0, 6] --------------- = ------------ [12, 7, 5] [12, 5] [2, 6, 7, 0, 3] [2, 6, 0, 3] --------------- = ------------ [12, 7, 5] [12, 5] denominator=, [12, 8, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [12, 8, 4] [12, 4] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [12, 8, 4] [12, 4] denominator=, [12, 8, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [12, 8, 7] [12, 7] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [12, 8, 7] [12, 7] [1, 13, 8, 5, 0] [1, 13, 5, 0] ---------------- = ------------- [12, 8, 7] [12, 7] [2, 6, 8, 4, 0] [2, 6, 4, 0] --------------- = ------------ [12, 8, 7] [12, 7] [2, 14, 8, 3, 0] [2, 14, 3, 0] ---------------- = ------------- [12, 8, 7] [12, 7] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [12, 8, 7] [12, 7] [4, 0, 8, 1, 0] [4, 0, 1, 0] --------------- = ------------ [12, 8, 7] [12, 7] [4, 8, 8, 0, 0] [4, 8, 0, 0] --------------- = ------------ [12, 8, 7] [12, 7] denominator=, [12, 8, 8] [2, 4, 8, 7, 0] [2, 4, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [5, 3, 8, 5, 0] [5, 3, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 2, 8, 3, 0] [8, 2, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] [11, 1, 8, 1, 0] [11, 1, 1, 0] ---------------- = ------------- [12, 8, 8] [12, 8] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [3, 12, 9, 9] [3, 9, 9] ------------- = --------- [12, 12, 2] [12, 2] [9, 12, 4, 8] [9, 4, 8] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [2, 12, 10, 10] [2, 10, 10] --------------- = ----------- [12, 12, 3] [12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] [10, 12, 4, 8] [10, 4, 8] -------------- = ---------- [12, 12, 3] [12, 3] [14, 12, 1, 7] [14, 1, 7] -------------- = ---------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [1, 0, 12, 1, 14] [1, 0, 1, 14] ----------------- = ------------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [1, 12, 11, 13] [1, 11, 13] --------------- = ----------- [12, 12, 6] [12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [3, 12, 10, 12] [3, 10, 12] --------------- = ----------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [5, 12, 9, 11] [5, 9, 11] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 10] [7, 8, 10] -------------- = ---------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [9, 12, 7, 9] [9, 7, 9] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 8] [11, 6, 8] -------------- = ---------- [12, 12, 6] [12, 6] [13, 12, 5, 7] [13, 5, 7] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 14] [14, 4, 14] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 4, 6] [1, 0, 4, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 1, 12, 3, 13] [1, 1, 3, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 3, 5] [1, 2, 3, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 4, 12, 2, 4] [1, 4, 2, 4] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 5, 12, 1, 11] [1, 5, 1, 11] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 1, 3] [1, 6, 1, 3] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 7, 12, 0, 10] [1, 7, 0, 10] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 8, 12, 0, 2] [1, 8, 0, 2] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [1, 0, 12, 6, 13] [1, 0, 6, 13] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 4, 9] [1, 6, 4, 9] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 12, 12, 2, 5] [1, 12, 2, 5] ----------------- = ------------- [12, 12, 8] [12, 8] [2, 3, 12, 0, 1] [2, 3, 0, 1] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [12, 12, 9] [12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [10, 12, 9, 9] [10, 9, 9] -------------- = ---------- [12, 12, 9] [12, 9] [14, 12, 8, 6] [14, 8, 6] -------------- = ---------- [12, 12, 9] [12, 9] [1, 1, 12, 7, 12] [1, 1, 7, 12] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 5, 12, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 11, 12, 4, 12] [1, 11, 4, 12] ------------------ = -------------- [12, 12, 9] [12, 9] [1, 13, 12, 4, 3] [1, 13, 4, 3] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 2, 12, 3, 0] [2, 2, 3, 0] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 4, 12, 2, 6] [2, 4, 2, 6] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 8, 12, 1, 3] [2, 8, 1, 3] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 10, 12, 0, 9] [2, 10, 0, 9] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [12, 12, 10] [12, 10] [9, 12, 10, 10] [9, 10, 10] --------------- = ----------- [12, 12, 10] [12, 10] [1, 0, 12, 9, 5] [1, 0, 9, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 12, 12, 6, 10] [1, 12, 6, 10] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 3, 12, 5, 5] [2, 3, 5, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 0, 12, 2, 10] [3, 0, 2, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 6, 12, 1, 5] [3, 6, 1, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [13, 5, 3] [2, 0, 5, 0, 0] [2, 0, 0, 0] --------------- = ------------ [13, 5, 3] [13, 3] denominator=, [13, 6, 5] [4, 0, 6, 0, 0] [4, 0, 0, 0] --------------- = ------------ [13, 6, 5] [13, 5] denominator=, [13, 7, 0] [1, 7, 6, 10] [1, 6, 10] ------------- = ---------- [13, 7, 0] [13, 0] [7, 7, 3, 5] [7, 3, 5] ------------ = --------- [13, 7, 0] [13, 0] [10, 7, 1, 10] [10, 1, 10] -------------- = ----------- [13, 7, 0] [13, 0] denominator=, [13, 7, 3] [7, 7, 5] [7, 5] ---------- = ------- [13, 7, 3] [13, 3] [1, 7, 7, 0] [1, 7, 0] ------------ = --------- [13, 7, 3] [13, 3] [2, 7, 6, 10] [2, 6, 10] ------------- = ---------- [13, 7, 3] [13, 3] [3, 7, 6, 5] [3, 6, 5] ------------ = --------- [13, 7, 3] [13, 3] [5, 7, 5, 10] [5, 5, 10] ------------- = ---------- [13, 7, 3] [13, 3] [6, 7, 5, 5] [6, 5, 5] ------------ = --------- [13, 7, 3] [13, 3] [7, 7, 5, 0] [7, 5, 0] ------------ = --------- [13, 7, 3] [13, 3] [8, 7, 4, 10] [8, 4, 10] ------------- = ---------- [13, 7, 3] [13, 3] [9, 7, 4, 5] [9, 4, 5] ------------ = --------- [13, 7, 3] [13, 3] [10, 7, 4, 0] [10, 4, 0] ------------- = ---------- [13, 7, 3] [13, 3] [11, 7, 3, 10] [11, 3, 10] -------------- = ----------- [13, 7, 3] [13, 3] [12, 7, 3, 5] [12, 3, 5] ------------- = ---------- [13, 7, 3] [13, 3] [14, 7, 2, 10] [14, 2, 10] -------------- = ----------- [13, 7, 3] [13, 3] [1, 0, 7, 2, 5] [1, 0, 2, 5] --------------- = ------------ [13, 7, 3] [13, 3] [1, 1, 7, 2, 0] [1, 1, 2, 0] --------------- = ------------ [13, 7, 3] [13, 3] [1, 2, 7, 1, 10] [1, 2, 1, 10] ---------------- = ------------- [13, 7, 3] [13, 3] [1, 3, 7, 1, 5] [1, 3, 1, 5] --------------- = ------------ [13, 7, 3] [13, 3] [1, 4, 7, 1, 0] [1, 4, 1, 0] --------------- = ------------ [13, 7, 3] [13, 3] [1, 5, 7, 0, 10] [1, 5, 0, 10] ---------------- = ------------- [13, 7, 3] [13, 3] [1, 6, 7, 0, 5] [1, 6, 0, 5] --------------- = ------------ [13, 7, 3] [13, 3] denominator=, [13, 7, 6] [1, 7, 7, 5] [1, 7, 5] ------------ = --------- [13, 7, 6] [13, 6] [7, 7, 6, 10] [7, 6, 10] ------------- = ---------- [13, 7, 6] [13, 6] [10, 7, 6, 5] [10, 6, 5] ------------- = ---------- [13, 7, 6] [13, 6] [1, 1, 7, 5, 10] [1, 1, 5, 10] ---------------- = ------------- [13, 7, 6] [13, 6] [1, 4, 7, 5, 5] [1, 4, 5, 5] --------------- = ------------ [13, 7, 6] [13, 6] [1, 10, 7, 4, 10] [1, 10, 4, 10] ----------------- = -------------- [13, 7, 6] [13, 6] [1, 13, 7, 4, 5] [1, 13, 4, 5] ---------------- = ------------- [13, 7, 6] [13, 6] [2, 4, 7, 3, 10] [2, 4, 3, 10] ---------------- = ------------- [13, 7, 6] [13, 6] [2, 7, 7, 3, 5] [2, 7, 3, 5] --------------- = ------------ [13, 7, 6] [13, 6] [2, 13, 7, 2, 10] [2, 13, 2, 10] ----------------- = -------------- [13, 7, 6] [13, 6] [3, 1, 7, 2, 5] [3, 1, 2, 5] --------------- = ------------ [13, 7, 6] [13, 6] [3, 7, 7, 1, 10] [3, 7, 1, 10] ---------------- = ------------- [13, 7, 6] [13, 6] [3, 10, 7, 1, 5] [3, 10, 1, 5] ---------------- = ------------- [13, 7, 6] [13, 6] [4, 1, 7, 0, 10] [4, 1, 0, 10] ---------------- = ------------- [13, 7, 6] [13, 6] [4, 4, 7, 0, 5] [4, 4, 0, 5] --------------- = ------------ [13, 7, 6] [13, 6] denominator=, [13, 10, 1] [5, 10, 6, 10] [5, 6, 10] -------------- = ---------- [13, 10, 1] [13, 1] denominator=, [13, 10, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [13, 10, 5] [13, 5] [5, 10, 8, 5] [5, 8, 5] ------------- = --------- [13, 10, 5] [13, 5] [9, 10, 6, 10] [9, 6, 10] -------------- = ---------- [13, 10, 5] [13, 5] [1, 2, 10, 3, 5] [1, 2, 3, 5] ---------------- = ------------ [13, 10, 5] [13, 5] [1, 6, 10, 1, 10] [1, 6, 1, 10] ----------------- = ------------- [13, 10, 5] [13, 5] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [13, 10, 5] [13, 5] denominator=, [13, 10, 7] [1, 14, 10, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [13, 10, 7] [13, 7] denominator=, [13, 10, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [13, 10, 9] [13, 9] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [13, 10, 9] [13, 9] [1, 14, 10, 7, 0] [1, 14, 7, 0] ----------------- = ------------- [13, 10, 9] [13, 9] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [13, 10, 9] [13, 9] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [13, 10, 9] [13, 9] [4, 1, 10, 3, 0] [4, 1, 3, 0] ---------------- = ------------ [13, 10, 9] [13, 9] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [13, 10, 9] [13, 9] [5, 10, 10, 0, 0] [5, 10, 0, 0] ----------------- = ------------- [13, 10, 9] [13, 9] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 14, 3] [6, 14, 9, 0] [6, 9, 0] ------------- = --------- [13, 14, 3] [13, 3] denominator=, [13, 14, 5] [6, 14, 10, 0] [6, 10, 0] -------------- = ---------- [13, 14, 5] [13, 5] [1, 5, 14, 0, 0] [1, 5, 0, 0] ---------------- = ------------ [13, 14, 5] [13, 5] denominator=, [13, 14, 7] [6, 14, 11, 0] [6, 11, 0] -------------- = ---------- [13, 14, 7] [13, 7] [1, 5, 14, 3, 0] [1, 5, 3, 0] ---------------- = ------------ [13, 14, 7] [13, 7] denominator=, [13, 14, 8] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [13, 14, 8] [13, 8] [3, 14, 13, 0] [3, 13, 0] -------------- = ---------- [13, 14, 8] [13, 8] [5, 14, 12, 0] [5, 12, 0] -------------- = ---------- [13, 14, 8] [13, 8] [7, 14, 11, 0] [7, 11, 0] -------------- = ---------- [13, 14, 8] [13, 8] [9, 14, 10, 0] [9, 10, 0] -------------- = ---------- [13, 14, 8] [13, 8] [11, 14, 9, 0] [11, 9, 0] -------------- = ---------- [13, 14, 8] [13, 8] [1, 0, 14, 7, 0] [1, 0, 7, 0] ---------------- = ------------ [13, 14, 8] [13, 8] [1, 2, 14, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [13, 14, 8] [13, 8] [1, 4, 14, 5, 0] [1, 4, 5, 0] ---------------- = ------------ [13, 14, 8] [13, 8] [1, 6, 14, 4, 0] [1, 6, 4, 0] ---------------- = ------------ [13, 14, 8] [13, 8] [1, 8, 14, 3, 0] [1, 8, 3, 0] ---------------- = ------------ [13, 14, 8] [13, 8] [1, 10, 14, 2, 0] [1, 10, 2, 0] ----------------- = ------------- [13, 14, 8] [13, 8] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [13, 14, 8] [13, 8] denominator=, [13, 14, 9] [6, 14, 12, 0] [6, 12, 0] -------------- = ---------- [13, 14, 9] [13, 9] [1, 5, 14, 6, 0] [1, 5, 6, 0] ---------------- = ------------ [13, 14, 9] [13, 9] [2, 4, 14, 0, 0] [2, 4, 0, 0] ---------------- = ------------ [13, 14, 9] [13, 9] denominator=, [13, 14, 11] [6, 14, 13, 0] [6, 13, 0] -------------- = ---------- [13, 14, 11] [13, 11] [1, 5, 14, 9, 0] [1, 5, 9, 0] ---------------- = ------------ [13, 14, 11] [13, 11] [2, 4, 14, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [13, 14, 11] [13, 11] [3, 3, 14, 1, 0] [3, 3, 1, 0] ---------------- = ------------ [13, 14, 11] [13, 11] denominator=, [13, 14, 13] [6, 14, 14, 0] [6, 14, 0] -------------- = ---------- [13, 14, 13] [13, 13] [1, 5, 14, 12, 0] [1, 5, 12, 0] ----------------- = ------------- [13, 14, 13] [13, 13] [2, 4, 14, 10, 0] [2, 4, 10, 0] ----------------- = ------------- [13, 14, 13] [13, 13] [3, 3, 14, 8, 0] [3, 3, 8, 0] ---------------- = ------------ [13, 14, 13] [13, 13] [4, 2, 14, 6, 0] [4, 2, 6, 0] ---------------- = ------------ [13, 14, 13] [13, 13] [5, 1, 14, 4, 0] [5, 1, 4, 0] ---------------- = ------------ [13, 14, 13] [13, 13] [6, 0, 14, 2, 0] [6, 0, 2, 0] ---------------- = ------------ [13, 14, 13] [13, 13] [6, 14, 14, 0, 0] [6, 14, 0, 0] ----------------- = ------------- [13, 14, 13] [13, 13] denominator=, [14, 2, 0] [3, 2, 1, 10] [3, 1, 10] ------------- = ---------- [14, 2, 0] [14, 0] denominator=, [14, 4, 0] [4, 4, 3] [4, 3] ---------- = ------- [14, 4, 0] [14, 0] [2, 4, 3, 9] [2, 3, 9] ------------ = --------- [14, 4, 0] [14, 0] [4, 4, 3, 0] [4, 3, 0] ------------ = --------- [14, 4, 0] [14, 0] [6, 4, 2, 6] [6, 2, 6] ------------ = --------- [14, 4, 0] [14, 0] [8, 4, 1, 12] [8, 1, 12] ------------- = ---------- [14, 4, 0] [14, 0] [10, 4, 1, 3] [10, 1, 3] ------------- = ---------- [14, 4, 0] [14, 0] [12, 4, 0, 9] [12, 0, 9] ------------- = ---------- [14, 4, 0] [14, 0] denominator=, [14, 4, 2] [4, 4, 3, 9] [4, 3, 9] ------------ = --------- [14, 4, 2] [14, 2] [9, 4, 2, 12] [9, 2, 12] ------------- = ---------- [14, 4, 2] [14, 2] [1, 4, 4, 1, 3] [1, 4, 1, 3] --------------- = ------------ [14, 4, 2] [14, 2] [1, 9, 4, 0, 6] [1, 9, 0, 6] --------------- = ------------ [14, 4, 2] [14, 2] denominator=, [14, 4, 4] [4, 4, 4, 3] [4, 4, 3] ------------ = --------- [14, 4, 4] [14, 4] [1, 9, 4, 3, 12] [1, 9, 3, 12] ---------------- = ------------- [14, 4, 4] [14, 4] [2, 14, 4, 3, 6] [2, 14, 3, 6] ---------------- = ------------- [14, 4, 4] [14, 4] [4, 4, 4, 3, 0] [4, 4, 3, 0] --------------- = ------------ [14, 4, 4] [14, 4] [5, 9, 4, 2, 9] [5, 9, 2, 9] --------------- = ------------ [14, 4, 4] [14, 4] [6, 14, 4, 2, 3] [6, 14, 2, 3] ---------------- = ------------- [14, 4, 4] [14, 4] [8, 4, 4, 1, 12] [8, 4, 1, 12] ---------------- = ------------- [14, 4, 4] [14, 4] [9, 9, 4, 1, 6] [9, 9, 1, 6] --------------- = ------------ [14, 4, 4] [14, 4] [10, 14, 4, 1, 0] [10, 14, 1, 0] ----------------- = -------------- [14, 4, 4] [14, 4] [12, 4, 4, 0, 9] [12, 4, 0, 9] ---------------- = ------------- [14, 4, 4] [14, 4] [13, 9, 4, 0, 3] [13, 9, 0, 3] ---------------- = ------------- [14, 4, 4] [14, 4] denominator=, [14, 8, 6] [2, 1, 8, 3, 0] [2, 1, 3, 0] --------------- = ------------ [14, 8, 6] [14, 6] denominator=, [14, 8, 8] [2, 1, 8, 7, 5] [2, 1, 7, 5] --------------- = ------------ [14, 8, 8] [14, 8] [4, 5, 8, 6, 0] [4, 5, 6, 0] --------------- = ------------ [14, 8, 8] [14, 8] [6, 9, 8, 4, 10] [6, 9, 4, 10] ---------------- = ------------- [14, 8, 8] [14, 8] [8, 13, 8, 3, 5] [8, 13, 3, 5] ---------------- = ------------- [14, 8, 8] [14, 8] [11, 2, 8, 2, 0] [11, 2, 2, 0] ---------------- = ------------- [14, 8, 8] [14, 8] [13, 6, 8, 0, 10] [13, 6, 0, 10] ----------------- = -------------- [14, 8, 8] [14, 8] denominator=, [14, 11, 9] [2, 7, 11, 4, 10] [2, 7, 4, 10] ----------------- = ------------- [14, 11, 9] [14, 9] [4, 0, 11, 0, 5] [4, 0, 0, 5] ---------------- = ------------ [14, 11, 9] [14, 9] denominator=, [14, 12, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [14, 12, 6] [14, 6] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [14, 12, 6] [14, 6] denominator=, [14, 12, 10] [2, 10, 12, 5, 0] [2, 10, 5, 0] ----------------- = ------------- [14, 12, 10] [14, 10] [4, 6, 12, 0, 0] [4, 6, 0, 0] ---------------- = ------------ [14, 12, 10] [14, 10] denominator=, [14, 12, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [14, 12, 11] [14, 11] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [14, 12, 11] [14, 11] [2, 0, 12, 9, 0] [2, 0, 9, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [3, 1, 12, 7, 0] [3, 1, 7, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [3, 9, 12, 6, 0] [3, 9, 6, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [4, 2, 12, 5, 0] [4, 2, 5, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [14, 12, 11] [14, 11] [5, 3, 12, 3, 0] [5, 3, 3, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [14, 12, 11] [14, 11] [6, 4, 12, 1, 0] [6, 4, 1, 0] ---------------- = ------------ [14, 12, 11] [14, 11] [6, 12, 12, 0, 0] [6, 12, 0, 0] ----------------- = ------------- [14, 12, 11] [14, 11] denominator=, [14, 12, 12] [4, 6, 12, 9, 0] [4, 6, 9, 0] ---------------- = ------------ [14, 12, 12] [14, 12] [11, 5, 12, 3, 0] [11, 5, 3, 0] ----------------- = ------------- [14, 12, 12] [14, 12] denominator=, [14, 13, 10] [2, 3, 13, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [14, 13, 10] [14, 10] [3, 7, 13, 0, 0] [3, 7, 0, 0] ---------------- = ------------ [14, 13, 10] [14, 10] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 3, 5] [1, 4] [1] --------- = ------ [4, 3, 5] [3, 5] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 4, 3] [14, 4] [14] --------- = ------ [4, 4, 3] [4, 3] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 5, 0] [1, 7] [1] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [2, 7] [2] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 6, 10] [4, 7] [4] ---------- = ------- [7, 6, 10] [6, 10] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 7, 3] [12, 7] [12] --------- = ------ [7, 7, 3] [7, 3] denominator=, [7, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 5] [7, 5] denominator=, [7, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [7, 7, 6] [7, 6] denominator=, [8, 6, 10] [2, 8] [2] ---------- = ------- [8, 6, 10] [6, 10] denominator=, [8, 7, 3] [3, 8] [3] --------- = ------ [8, 7, 3] [7, 3] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 8, 5] [1, 5, 8] [1, 5] --------- = ------ [8, 8, 5] [8, 5] denominator=, [8, 8, 6] [1, 13, 8] [1, 13] ---------- = ------- [8, 8, 6] [8, 6] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [11, 6, 9] [1, 11] [1] ---------- = ------ [11, 6, 9] [6, 9] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 11, 10] [5, 2, 11] [5, 2] ------------ = -------- [11, 11, 10] [11, 10] denominator=, [12, 9, 0] [2, 12] [2] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [3, 12] [3] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [12, 12, 10] [12, 10] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [14, 10, 0] [2, 14] [2] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 12, 0] [4, 14] [4] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 13, 5] [8, 14] [8] ----------- = ------- [14, 13, 5] [13, 5] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 14, 6] [1, 9, 14] [1, 9] ----------- = ------- [14, 14, 6] [14, 6] denominator=, [14, 14, 10] [2, 14, 14] [2, 14] ------------ = -------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [4, 14, 14] [4, 14] ------------ = -------- [14, 14, 12] [14, 12] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 9, 0] [2, 9] [9] --------- = ------ [2, 9, 0] [9, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 11, 0] [2, 11] [11] ---------- = ------- [2, 11, 0] [11, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 13, 0] [2, 13] [13] ---------- = ------- [2, 13, 0] [13, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 3, 5] [1, 4, 0] [1, 0] --------- = ------ [4, 3, 5] [3, 5] denominator=, [4, 4, 3] [14, 4, 0] [14, 0] ---------- = ------- [4, 4, 3] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 10, 0] [4, 10] [10] ---------- = ------- [4, 10, 0] [10, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [4, 14, 0] [4, 14] [14] ---------- = ------- [4, 14, 0] [14, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 4, 12] [1, 6, 1] [1, 1] ---------- = ------- [6, 4, 12] [4, 12] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 5, 6] [1, 6, 3] [1, 3] --------- = ------ [6, 5, 6] [5, 6] denominator=, [6, 6, 5] [1, 0, 6, 3] [1, 0, 3] ------------ = --------- [6, 6, 5] [6, 5] [1, 9, 6, 1] [1, 9, 1] ------------ = --------- [6, 6, 5] [6, 5] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [6, 14, 0] [6, 14] [14] ---------- = ------- [6, 14, 0] [14, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] [1, 7, 0] [1, 0] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 5, 5] [1, 7, 1] [1, 1] --------- = ------ [7, 5, 5] [5, 5] denominator=, [7, 5, 10] [1, 7, 2] [1, 2] ---------- = ------- [7, 5, 10] [5, 10] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] [1, 7, 3] [1, 3] --------- = ------ [7, 6, 0] [6, 0] [2, 7, 0] [2, 0] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 6, 3] [2, 7, 1] [2, 1] --------- = ------ [7, 6, 3] [6, 3] denominator=, [7, 6, 5] [1, 7, 4] [1, 4] --------- = ------ [7, 6, 5] [6, 5] denominator=, [7, 6, 6] [2, 7, 2] [2, 2] --------- = ------ [7, 6, 6] [6, 6] denominator=, [7, 6, 9] [2, 7, 3] [2, 3] --------- = ------ [7, 6, 9] [6, 9] denominator=, [7, 6, 10] [1, 7, 5] [1, 5] ---------- = ------- [7, 6, 10] [6, 10] [4, 7, 0] [4, 0] ---------- = ------- [7, 6, 10] [6, 10] denominator=, [7, 6, 12] [2, 7, 4] [2, 4] ---------- = ------- [7, 6, 12] [6, 12] denominator=, [7, 7, 3] [2, 7, 6] [2, 6] --------- = ------ [7, 7, 3] [7, 3] [12, 7, 0] [12, 0] ---------- = ------- [7, 7, 3] [7, 3] denominator=, [7, 7, 5] [1, 7, 7] [1, 7] --------- = ------ [7, 7, 5] [7, 5] [4, 7, 6] [4, 6] --------- = ------ [7, 7, 5] [7, 5] [10, 7, 4] [10, 4] ---------- = ------- [7, 7, 5] [7, 5] [13, 7, 3] [13, 3] ---------- = ------- [7, 7, 5] [7, 5] [1, 1, 7, 2] [1, 1, 2] ------------ = --------- [7, 7, 5] [7, 5] [1, 4, 7, 1] [1, 4, 1] ------------ = --------- [7, 7, 5] [7, 5] denominator=, [7, 7, 6] [2, 7, 7] [2, 7] --------- = ------ [7, 7, 6] [7, 6] [12, 7, 5] [12, 5] ---------- = ------- [7, 7, 6] [7, 6] [1, 2, 7, 4] [1, 2, 4] ------------ = --------- [7, 7, 6] [7, 6] [1, 12, 7, 2] [1, 12, 2] ------------- = ---------- [7, 7, 6] [7, 6] [2, 2, 7, 1] [2, 2, 1] ------------ = --------- [7, 7, 6] [7, 6] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 6, 10] [2, 8, 0] [2, 0] ---------- = ------- [8, 6, 10] [6, 10] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 7, 3] [3, 8, 0] [3, 0] --------- = ------ [8, 7, 3] [7, 3] denominator=, [8, 7, 5] [2, 8, 3] [2, 3] --------- = ------ [8, 7, 5] [7, 5] denominator=, [8, 8, 5] [1, 5, 8, 0] [1, 5, 0] ------------ = --------- [8, 8, 5] [8, 5] denominator=, [8, 8, 6] [1, 3, 8, 3] [1, 3, 3] ------------ = --------- [8, 8, 6] [8, 6] [1, 13, 8, 0] [1, 13, 0] ------------- = ---------- [8, 8, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 6, 10] [1, 10, 1] [1, 1] ----------- = ------- [10, 6, 10] [6, 10] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 5] [1, 10, 5] [1, 5] ---------- = ------ [10, 8, 5] [8, 5] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 9] [2, 5, 10, 5] [2, 5, 5] ------------- = --------- [10, 10, 9] [10, 9] [4, 0, 10, 1] [4, 0, 1] ------------- = --------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 6, 9] [1, 11, 0] [1, 0] ---------- = ------ [11, 6, 9] [6, 9] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 8, 12] [1, 11, 5] [1, 5] ----------- = ------- [11, 8, 12] [8, 12] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 10] [2, 14, 11, 5] [2, 14, 5] -------------- = ---------- [11, 11, 10] [11, 10] [5, 2, 11, 0] [5, 2, 0] ------------- = --------- [11, 11, 10] [11, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] [2, 12, 0] [2, 0] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 9, 9] [2, 12, 2] [2, 2] ---------- = ------ [12, 9, 9] [9, 9] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] [3, 12, 0] [3, 0] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 10, 3] [2, 12, 4] [2, 4] ----------- = ------- [12, 10, 3] [10, 3] denominator=, [12, 10, 10] [3, 12, 3] [3, 3] ------------ = -------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [2, 12, 6] [2, 6] ------------ = -------- [12, 10, 12] [10, 12] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 11, 5] [3, 12, 6] [3, 6] ----------- = ------- [12, 11, 5] [11, 5] denominator=, [12, 11, 6] [2, 12, 8] [2, 8] ----------- = ------- [12, 11, 6] [11, 6] denominator=, [12, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [12, 12, 9] [12, 9] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [12, 12, 9] [12, 9] [2, 2, 12, 3] [2, 2, 3] ------------- = --------- [12, 12, 9] [12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [12, 12, 10] [12, 10] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [12, 12, 10] [12, 10] [2, 0, 12, 6] [2, 0, 6] ------------- = --------- [12, 12, 10] [12, 10] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [12, 12, 10] [12, 10] [3, 3, 12, 2] [3, 3, 2] ------------- = --------- [12, 12, 10] [12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 8, 10] [1, 13, 3] [1, 3] ----------- = ------- [13, 8, 10] [8, 10] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 12] [5, 3, 13, 3] [5, 3, 3] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] [1, 14, 1] [1, 1] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] [1, 14, 3] [1, 3] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] [1, 14, 5] [1, 5] ----------- = ------- [14, 10, 0] [10, 0] [2, 14, 0] [2, 0] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 10, 5] [2, 14, 1] [2, 1] ----------- = ------- [14, 10, 5] [10, 5] denominator=, [14, 10, 10] [2, 14, 2] [2, 2] ------------ = -------- [14, 10, 10] [10, 10] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] [1, 14, 7] [1, 7] ----------- = ------- [14, 11, 0] [11, 0] [2, 14, 3] [2, 3] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 11, 5] [2, 14, 4] [2, 4] ----------- = ------- [14, 11, 5] [11, 5] denominator=, [14, 11, 10] [2, 14, 5] [2, 5] ------------ = -------- [14, 11, 10] [11, 10] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] [1, 14, 9] [1, 9] ----------- = ------- [14, 12, 0] [12, 0] [2, 14, 6] [2, 6] ----------- = ------- [14, 12, 0] [12, 0] [3, 14, 3] [3, 3] ----------- = ------- [14, 12, 0] [12, 0] [4, 14, 0] [4, 0] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 12, 3] [4, 14, 1] [4, 1] ----------- = ------- [14, 12, 3] [12, 3] denominator=, [14, 12, 5] [2, 14, 7] [2, 7] ----------- = ------- [14, 12, 5] [12, 5] denominator=, [14, 12, 6] [4, 14, 2] [4, 2] ----------- = ------- [14, 12, 6] [12, 6] denominator=, [14, 12, 9] [4, 14, 3] [4, 3] ----------- = ------- [14, 12, 9] [12, 9] denominator=, [14, 12, 10] [2, 14, 8] [2, 8] ------------ = -------- [14, 12, 10] [12, 10] [5, 14, 1] [5, 1] ------------ = -------- [14, 12, 10] [12, 10] denominator=, [14, 12, 12] [4, 14, 4] [4, 4] ------------ = -------- [14, 12, 12] [12, 12] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] [1, 14, 11] [1, 11] ----------- = ------- [14, 13, 0] [13, 0] [2, 14, 9] [2, 9] ----------- = ------- [14, 13, 0] [13, 0] [3, 14, 7] [3, 7] ----------- = ------- [14, 13, 0] [13, 0] [4, 14, 5] [4, 5] ----------- = ------- [14, 13, 0] [13, 0] [5, 14, 3] [5, 3] ----------- = ------- [14, 13, 0] [13, 0] [6, 14, 1] [6, 1] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 13, 3] [4, 14, 6] [4, 6] ----------- = ------- [14, 13, 3] [13, 3] denominator=, [14, 13, 5] [2, 14, 10] [2, 10] ----------- = ------- [14, 13, 5] [13, 5] [5, 14, 5] [5, 5] ----------- = ------- [14, 13, 5] [13, 5] [8, 14, 0] [8, 0] ----------- = ------- [14, 13, 5] [13, 5] denominator=, [14, 13, 6] [4, 14, 7] [4, 7] ----------- = ------- [14, 13, 6] [13, 6] denominator=, [14, 13, 9] [4, 14, 8] [4, 8] ----------- = ------- [14, 13, 9] [13, 9] [9, 14, 1] [9, 1] ----------- = ------- [14, 13, 9] [13, 9] denominator=, [14, 13, 10] [2, 14, 11] [2, 11] ------------ = -------- [14, 13, 10] [13, 10] [5, 14, 7] [5, 7] ------------ = -------- [14, 13, 10] [13, 10] [8, 14, 3] [8, 3] ------------ = -------- [14, 13, 10] [13, 10] denominator=, [14, 13, 12] [4, 14, 9] [4, 9] ------------ = -------- [14, 13, 12] [13, 12] [9, 14, 3] [9, 3] ------------ = -------- [14, 13, 12] [13, 12] denominator=, [14, 14, 3] [4, 14, 11] [4, 11] ----------- = ------- [14, 14, 3] [14, 3] [9, 14, 7] [9, 7] ----------- = ------- [14, 14, 3] [14, 3] denominator=, [14, 14, 5] [2, 14, 13] [2, 13] ----------- = ------- [14, 14, 5] [14, 5] [5, 14, 11] [5, 11] ----------- = ------- [14, 14, 5] [14, 5] [8, 14, 9] [8, 9] ----------- = ------- [14, 14, 5] [14, 5] [11, 14, 7] [11, 7] ----------- = ------- [14, 14, 5] [14, 5] [1, 2, 14, 3] [1, 2, 3] ------------- = --------- [14, 14, 5] [14, 5] [1, 5, 14, 1] [1, 5, 1] ------------- = --------- [14, 14, 5] [14, 5] denominator=, [14, 14, 6] [4, 14, 12] [4, 12] ----------- = ------- [14, 14, 6] [14, 6] [9, 14, 9] [9, 9] ----------- = ------- [14, 14, 6] [14, 6] [1, 4, 14, 3] [1, 4, 3] ------------- = --------- [14, 14, 6] [14, 6] [1, 9, 14, 0] [1, 9, 0] ------------- = --------- [14, 14, 6] [14, 6] denominator=, [14, 14, 9] [4, 14, 13] [4, 13] ----------- = ------- [14, 14, 9] [14, 9] [9, 14, 11] [9, 11] ----------- = ------- [14, 14, 9] [14, 9] [1, 4, 14, 7] [1, 4, 7] ------------- = --------- [14, 14, 9] [14, 9] [1, 9, 14, 5] [1, 9, 5] ------------- = --------- [14, 14, 9] [14, 9] [2, 4, 14, 1] [2, 4, 1] ------------- = --------- [14, 14, 9] [14, 9] denominator=, [14, 14, 10] [2, 14, 14] [2, 14] ------------ = -------- [14, 14, 10] [14, 10] [5, 14, 13] [5, 13] ------------ = -------- [14, 14, 10] [14, 10] [8, 14, 12] [8, 12] ------------ = -------- [14, 14, 10] [14, 10] [11, 14, 11] [11, 11] ------------ = -------- [14, 14, 10] [14, 10] [1, 2, 14, 9] [1, 2, 9] ------------- = --------- [14, 14, 10] [14, 10] [1, 5, 14, 8] [1, 5, 8] ------------- = --------- [14, 14, 10] [14, 10] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [14, 14, 10] [14, 10] [1, 11, 14, 6] [1, 11, 6] -------------- = ---------- [14, 14, 10] [14, 10] [2, 2, 14, 4] [2, 2, 4] ------------- = --------- [14, 14, 10] [14, 10] [2, 5, 14, 3] [2, 5, 3] ------------- = --------- [14, 14, 10] [14, 10] [2, 8, 14, 2] [2, 8, 2] ------------- = --------- [14, 14, 10] [14, 10] [2, 11, 14, 1] [2, 11, 1] -------------- = ---------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [4, 14, 14] [4, 14] ------------ = -------- [14, 14, 12] [14, 12] [9, 14, 13] [9, 13] ------------ = -------- [14, 14, 12] [14, 12] [1, 4, 14, 11] [1, 4, 11] -------------- = ---------- [14, 14, 12] [14, 12] [1, 9, 14, 10] [1, 9, 10] -------------- = ---------- [14, 14, 12] [14, 12] [2, 4, 14, 8] [2, 4, 8] ------------- = --------- [14, 14, 12] [14, 12] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [14, 14, 12] [14, 12] [3, 4, 14, 5] [3, 4, 5] ------------- = --------- [14, 14, 12] [14, 12] [3, 9, 14, 4] [3, 9, 4] ------------- = --------- [14, 14, 12] [14, 12] [4, 4, 14, 2] [4, 4, 2] ------------- = --------- [14, 14, 12] [14, 12] [4, 9, 14, 1] [4, 9, 1] ------------- = --------- [14, 14, 12] [14, 12] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 15, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [3, 2, 12] [1, 3, 0, 13] [1, 0, 13] ------------- = ---------- [3, 2, 12] [2, 12] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 5] [1, 4, 0, 0] [1, 0, 0] ------------ = --------- [4, 3, 5] [3, 5] denominator=, [4, 3, 7] [1, 4, 0, 9] [1, 0, 9] ------------ = --------- [4, 3, 7] [3, 7] denominator=, [4, 3, 9] [1, 4, 1, 3] [1, 1, 3] ------------ = --------- [4, 3, 9] [3, 9] denominator=, [4, 3, 11] [1, 4, 1, 12] [1, 1, 12] ------------- = ---------- [4, 3, 11] [3, 11] denominator=, [4, 3, 13] [1, 4, 2, 6] [1, 2, 6] ------------ = --------- [4, 3, 13] [3, 13] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 9] [1, 3, 9] ------------ = --------- [4, 4, 2] [4, 2] [3, 4, 2, 8] [3, 2, 8] ------------ = --------- [4, 4, 2] [4, 2] [5, 4, 1, 7] [5, 1, 7] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 6] [7, 0, 6] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [5, 4, 0] [1, 5, 0, 3] [1, 0, 3] ------------ = --------- [5, 4, 0] [4, 0] denominator=, [5, 4, 5] [1, 5, 1, 7] [1, 1, 7] ------------ = --------- [5, 4, 5] [4, 5] denominator=, [5, 4, 10] [1, 5, 2, 11] [1, 2, 11] ------------- = ---------- [5, 4, 10] [4, 10] [2, 5, 0, 12] [2, 0, 12] ------------- = ---------- [5, 4, 10] [4, 10] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 9] [1, 6, 0, 5] [1, 0, 5] ------------ = --------- [6, 4, 9] [4, 9] denominator=, [6, 4, 12] [1, 6, 1, 0] [1, 1, 0] ------------ = --------- [6, 4, 12] [4, 12] denominator=, [6, 5, 0] [1, 6, 1, 10] [1, 1, 10] ------------- = ---------- [6, 5, 0] [5, 0] denominator=, [6, 5, 3] [1, 6, 2, 5] [1, 2, 5] ------------ = --------- [6, 5, 3] [5, 3] denominator=, [6, 5, 6] [1, 6, 3, 0] [1, 3, 0] ------------ = --------- [6, 5, 6] [5, 6] [2, 6, 0, 9] [2, 0, 9] ------------ = --------- [6, 5, 6] [5, 6] denominator=, [6, 5, 9] [1, 6, 3, 10] [1, 3, 10] ------------- = ---------- [6, 5, 9] [5, 9] [2, 6, 1, 11] [2, 1, 11] ------------- = ---------- [6, 5, 9] [5, 9] denominator=, [6, 5, 12] [1, 6, 4, 5] [1, 4, 5] ------------ = --------- [6, 5, 12] [5, 12] [2, 6, 2, 13] [2, 2, 13] ------------- = ---------- [6, 5, 12] [5, 12] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 10] [1, 5, 10] ------------- = ---------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 8] [5, 3, 8] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 7] [7, 2, 7] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 14] [8, 1, 14] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 13] [10, 0, 13] -------------- = ----------- [6, 6, 3] [6, 3] [11, 6, 0, 5] [11, 0, 5] ------------- = ---------- [6, 6, 3] [6, 3] denominator=, [8, 5, 9] [1, 8, 0, 6] [1, 0, 6] ------------ = --------- [8, 5, 9] [5, 9] denominator=, [8, 5, 13] [1, 8, 1, 2] [1, 1, 2] ------------ = --------- [8, 5, 13] [5, 13] denominator=, [8, 6, 2] [1, 8, 1, 13] [1, 1, 13] ------------- = ---------- [8, 6, 2] [6, 2] denominator=, [8, 6, 6] [1, 8, 2, 9] [1, 2, 9] ------------ = --------- [8, 6, 6] [6, 6] denominator=, [8, 6, 10] [1, 8, 3, 5] [1, 3, 5] ------------ = --------- [8, 6, 10] [6, 10] [2, 8, 0, 0] [2, 0, 0] ------------ = --------- [8, 6, 10] [6, 10] denominator=, [8, 6, 12] [2, 8, 0, 9] [2, 0, 9] ------------ = --------- [8, 6, 12] [6, 12] denominator=, [8, 6, 14] [1, 8, 4, 1] [1, 4, 1] ------------ = --------- [8, 6, 14] [6, 14] [2, 8, 1, 3] [2, 1, 3] ------------ = --------- [8, 6, 14] [6, 14] denominator=, [8, 7, 1] [2, 8, 1, 12] [2, 1, 12] ------------- = ---------- [8, 7, 1] [7, 1] denominator=, [8, 7, 3] [1, 8, 4, 12] [1, 4, 12] ------------- = ---------- [8, 7, 3] [7, 3] [2, 8, 2, 6] [2, 2, 6] ------------ = --------- [8, 7, 3] [7, 3] [3, 8, 0, 0] [3, 0, 0] ------------ = --------- [8, 7, 3] [7, 3] denominator=, [8, 7, 5] [2, 8, 3, 0] [2, 3, 0] ------------ = --------- [8, 7, 5] [7, 5] denominator=, [8, 7, 7] [1, 8, 5, 8] [1, 5, 8] ------------ = --------- [8, 7, 7] [7, 7] [2, 8, 3, 9] [2, 3, 9] ------------ = --------- [8, 7, 7] [7, 7] [3, 8, 1, 10] [3, 1, 10] ------------- = ---------- [8, 7, 7] [7, 7] denominator=, [8, 7, 9] [2, 8, 4, 3] [2, 4, 3] ------------ = --------- [8, 7, 9] [7, 9] denominator=, [8, 7, 11] [1, 8, 6, 4] [1, 6, 4] ------------ = --------- [8, 7, 11] [7, 11] [2, 8, 4, 12] [2, 4, 12] ------------- = ---------- [8, 7, 11] [7, 11] [3, 8, 3, 5] [3, 3, 5] ------------ = --------- [8, 7, 11] [7, 11] [5, 8, 0, 6] [5, 0, 6] ------------ = --------- [8, 7, 11] [7, 11] denominator=, [8, 7, 13] [2, 8, 5, 6] [2, 5, 6] ------------ = --------- [8, 7, 13] [7, 13] [6, 8, 0, 7] [6, 0, 7] ------------ = --------- [8, 7, 13] [7, 13] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 9] [2, 6, 9] ------------ = --------- [8, 8, 2] [8, 2] [6, 8, 3, 8] [6, 3, 8] ------------ = --------- [8, 8, 2] [8, 2] [10, 8, 0, 7] [10, 0, 7] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 11] [1, 7, 11] ------------- = ---------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 10] [3, 6, 10] ------------- = ---------- [8, 8, 4] [8, 4] [5, 8, 5, 9] [5, 5, 9] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 8] [7, 4, 8] ------------ = --------- [8, 8, 4] [8, 4] [9, 8, 3, 7] [9, 3, 7] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 14] [10, 2, 14] -------------- = ----------- [8, 8, 4] [8, 4] [11, 8, 2, 6] [11, 2, 6] ------------- = ---------- [8, 8, 4] [8, 4] [13, 8, 1, 5] [13, 1, 5] ------------- = ---------- [8, 8, 4] [8, 4] [14, 8, 0, 12] [14, 0, 12] -------------- = ----------- [8, 8, 4] [8, 4] [1, 0, 8, 0, 4] [1, 0, 0, 4] --------------- = ------------ [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 12] [2, 7, 12] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 9] [6, 6, 9] ------------ = --------- [8, 8, 6] [8, 6] [10, 8, 5, 6] [10, 5, 6] ------------- = ---------- [8, 8, 6] [8, 6] [14, 8, 4, 3] [14, 4, 3] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 3, 0] [1, 3, 3, 0] --------------- = ------------ [8, 8, 6] [8, 6] [1, 7, 8, 1, 12] [1, 7, 1, 12] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 11, 8, 0, 9] [1, 11, 0, 9] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [9, 6, 0] [1, 9, 0, 5] [1, 0, 5] ------------ = --------- [9, 6, 0] [6, 0] denominator=, [9, 6, 9] [1, 9, 1, 13] [1, 1, 13] ------------- = ---------- [9, 6, 9] [6, 9] denominator=, [9, 7, 3] [1, 9, 3, 6] [1, 3, 6] ------------ = --------- [9, 7, 3] [7, 3] denominator=, [9, 7, 12] [1, 9, 4, 14] [1, 4, 14] ------------- = ---------- [9, 7, 12] [7, 12] [2, 9, 2, 1] [2, 2, 1] ------------ = --------- [9, 7, 12] [7, 12] denominator=, [9, 8, 0] [3, 9, 0, 5] [3, 0, 5] ------------ = --------- [9, 8, 0] [8, 0] denominator=, [9, 8, 3] [3, 9, 1, 7] [3, 1, 7] ------------ = --------- [9, 8, 3] [8, 3] denominator=, [9, 8, 6] [1, 9, 6, 7] [1, 6, 7] ------------ = --------- [9, 8, 6] [8, 6] [2, 9, 4, 8] [2, 4, 8] ------------ = --------- [9, 8, 6] [8, 6] [3, 9, 2, 9] [3, 2, 9] ------------ = --------- [9, 8, 6] [8, 6] [4, 9, 0, 10] [4, 0, 10] ------------- = ---------- [9, 8, 6] [8, 6] denominator=, [9, 8, 9] [3, 9, 3, 11] [3, 3, 11] ------------- = ---------- [9, 8, 9] [8, 9] denominator=, [9, 8, 12] [3, 9, 4, 13] [3, 4, 13] ------------- = ---------- [9, 8, 12] [8, 12] [6, 9, 0, 14] [6, 0, 14] ------------- = ---------- [9, 8, 12] [8, 12] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 14] [12, 0, 14] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 13] [12, 4, 13] -------------- = ----------- [9, 9, 6] [9, 6] [1, 0, 9, 3, 11] [1, 0, 3, 11] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 1, 7] [1, 6, 1, 7] --------------- = ------------ [9, 9, 6] [9, 6] [1, 9, 9, 0, 5] [1, 9, 0, 5] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [10, 6, 5] [1, 10, 0, 3] [1, 0, 3] ------------- = --------- [10, 6, 5] [6, 5] denominator=, [10, 6, 10] [1, 10, 1, 0] [1, 1, 0] ------------- = --------- [10, 6, 10] [6, 10] denominator=, [10, 7, 0] [1, 10, 1, 12] [1, 1, 12] -------------- = ---------- [10, 7, 0] [7, 0] denominator=, [10, 7, 5] [1, 10, 2, 9] [1, 2, 9] ------------- = --------- [10, 7, 5] [7, 5] denominator=, [10, 7, 10] [1, 10, 3, 6] [1, 3, 6] ------------- = --------- [10, 7, 10] [7, 10] denominator=, [10, 8, 0] [1, 10, 4, 3] [1, 4, 3] ------------- = --------- [10, 8, 0] [8, 0] [2, 10, 0, 6] [2, 0, 6] ------------- = --------- [10, 8, 0] [8, 0] denominator=, [10, 8, 5] [1, 10, 5, 0] [1, 5, 0] ------------- = --------- [10, 8, 5] [8, 5] [2, 10, 1, 10] [2, 1, 10] -------------- = ---------- [10, 8, 5] [8, 5] denominator=, [10, 8, 10] [1, 10, 5, 12] [1, 5, 12] -------------- = ---------- [10, 8, 10] [8, 10] [2, 10, 2, 14] [2, 2, 14] -------------- = ---------- [10, 8, 10] [8, 10] [3, 10, 0, 1] [3, 0, 1] ------------- = --------- [10, 8, 10] [8, 10] denominator=, [10, 9, 0] [1, 10, 6, 9] [1, 6, 9] ------------- = --------- [10, 9, 0] [9, 0] [2, 10, 4, 3] [2, 4, 3] ------------- = --------- [10, 9, 0] [9, 0] [3, 10, 1, 12] [3, 1, 12] -------------- = ---------- [10, 9, 0] [9, 0] denominator=, [10, 9, 5] [1, 10, 7, 6] [1, 7, 6] ------------- = --------- [10, 9, 5] [9, 5] [2, 10, 5, 7] [2, 5, 7] ------------- = --------- [10, 9, 5] [9, 5] [3, 10, 3, 8] [3, 3, 8] ------------- = --------- [10, 9, 5] [9, 5] [4, 10, 1, 9] [4, 1, 9] ------------- = --------- [10, 9, 5] [9, 5] denominator=, [10, 9, 10] [1, 10, 8, 3] [1, 8, 3] ------------- = --------- [10, 9, 10] [9, 10] [2, 10, 6, 11] [2, 6, 11] -------------- = ---------- [10, 9, 10] [9, 10] [3, 10, 5, 4] [3, 5, 4] ------------- = --------- [10, 9, 10] [9, 10] [4, 10, 3, 12] [4, 3, 12] -------------- = ---------- [10, 9, 10] [9, 10] [6, 10, 0, 13] [6, 0, 13] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 12] [1, 9, 12] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 11] [3, 8, 11] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 9] [7, 6, 9] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 8] [9, 5, 8] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 7] [11, 4, 7] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 14] [12, 3, 14] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 6] [13, 3, 6] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 13] [14, 2, 13] --------------- = ----------- [10, 10, 5] [10, 5] [1, 1, 10, 1, 12] [1, 1, 1, 12] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 1, 4] [1, 2, 1, 4] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 3, 10, 0, 11] [1, 3, 0, 11] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 4, 10, 0, 3] [1, 4, 0, 3] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [11, 6, 9] [1, 11, 0, 0] [1, 0, 0] ------------- = --------- [11, 6, 9] [6, 9] denominator=, [11, 7, 5] [1, 11, 1, 10] [1, 1, 10] -------------- = ---------- [11, 7, 5] [7, 5] denominator=, [11, 8, 1] [1, 11, 3, 5] [1, 3, 5] ------------- = --------- [11, 8, 1] [8, 1] denominator=, [11, 8, 12] [1, 11, 5, 0] [1, 5, 0] ------------- = --------- [11, 8, 12] [8, 12] [2, 11, 1, 3] [2, 1, 3] ------------- = --------- [11, 8, 12] [8, 12] denominator=, [11, 9, 8] [1, 11, 6, 10] [1, 6, 10] -------------- = ---------- [11, 9, 8] [9, 8] [2, 11, 3, 12] [2, 3, 12] -------------- = ---------- [11, 9, 8] [9, 8] [3, 11, 0, 14] [3, 0, 14] -------------- = ---------- [11, 9, 8] [9, 8] denominator=, [11, 10, 4] [1, 11, 8, 5] [1, 8, 5] ------------- = --------- [11, 10, 4] [10, 4] [2, 11, 6, 6] [2, 6, 6] ------------- = --------- [11, 10, 4] [10, 4] [3, 11, 4, 7] [3, 4, 7] ------------- = --------- [11, 10, 4] [10, 4] [4, 11, 2, 8] [4, 2, 8] ------------- = --------- [11, 10, 4] [10, 4] [5, 11, 0, 9] [5, 0, 9] ------------- = --------- [11, 10, 4] [10, 4] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 7, 3] [1, 12, 0, 9] [1, 0, 9] ------------- = --------- [12, 7, 3] [7, 3] denominator=, [12, 7, 9] [1, 12, 1, 7] [1, 1, 7] ------------- = --------- [12, 7, 9] [7, 9] denominator=, [12, 8, 0] [1, 12, 2, 5] [1, 2, 5] ------------- = --------- [12, 8, 0] [8, 0] denominator=, [12, 8, 6] [1, 12, 3, 3] [1, 3, 3] ------------- = --------- [12, 8, 6] [8, 6] denominator=, [12, 8, 12] [1, 12, 4, 1] [1, 4, 1] ------------- = --------- [12, 8, 12] [8, 12] denominator=, [12, 9, 0] [2, 12, 0, 0] [2, 0, 0] ------------- = --------- [12, 9, 0] [9, 0] denominator=, [12, 9, 3] [1, 12, 4, 14] [1, 4, 14] -------------- = ---------- [12, 9, 3] [9, 3] [2, 12, 0, 10] [2, 0, 10] -------------- = ---------- [12, 9, 3] [9, 3] denominator=, [12, 9, 6] [2, 12, 1, 5] [2, 1, 5] ------------- = --------- [12, 9, 6] [9, 6] denominator=, [12, 9, 9] [1, 12, 5, 12] [1, 5, 12] -------------- = ---------- [12, 9, 9] [9, 9] [2, 12, 2, 0] [2, 2, 0] ------------- = --------- [12, 9, 9] [9, 9] denominator=, [12, 9, 12] [2, 12, 2, 10] [2, 2, 10] -------------- = ---------- [12, 9, 12] [9, 12] denominator=, [12, 10, 0] [1, 12, 6, 10] [1, 6, 10] -------------- = ---------- [12, 10, 0] [10, 0] [2, 12, 3, 5] [2, 3, 5] ------------- = --------- [12, 10, 0] [10, 0] [3, 12, 0, 0] [3, 0, 0] ------------- = --------- [12, 10, 0] [10, 0] denominator=, [12, 10, 2] [3, 12, 0, 9] [3, 0, 9] ------------- = --------- [12, 10, 2] [10, 2] denominator=, [12, 10, 3] [2, 12, 4, 0] [2, 4, 0] ------------- = --------- [12, 10, 3] [10, 3] denominator=, [12, 10, 4] [3, 12, 1, 3] [3, 1, 3] ------------- = --------- [12, 10, 4] [10, 4] denominator=, [12, 10, 6] [1, 12, 7, 8] [1, 7, 8] ------------- = --------- [12, 10, 6] [10, 6] [2, 12, 4, 10] [2, 4, 10] -------------- = ---------- [12, 10, 6] [10, 6] [3, 12, 1, 12] [3, 1, 12] -------------- = ---------- [12, 10, 6] [10, 6] denominator=, [12, 10, 8] [3, 12, 2, 6] [3, 2, 6] ------------- = --------- [12, 10, 8] [10, 8] denominator=, [12, 10, 9] [2, 12, 5, 5] [2, 5, 5] ------------- = --------- [12, 10, 9] [10, 9] [4, 12, 0, 1] [4, 0, 1] ------------- = --------- [12, 10, 9] [10, 9] denominator=, [12, 10, 10] [3, 12, 3, 0] [3, 3, 0] ------------- = --------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [1, 12, 8, 6] [1, 8, 6] ------------- = --------- [12, 10, 12] [10, 12] [2, 12, 6, 0] [2, 6, 0] ------------- = --------- [12, 10, 12] [10, 12] [3, 12, 3, 9] [3, 3, 9] ------------- = --------- [12, 10, 12] [10, 12] [4, 12, 1, 3] [4, 1, 3] ------------- = --------- [12, 10, 12] [10, 12] denominator=, [12, 10, 14] [3, 12, 4, 3] [3, 4, 3] ------------- = --------- [12, 10, 14] [10, 14] denominator=, [12, 11, 0] [2, 12, 6, 10] [2, 6, 10] -------------- = ---------- [12, 11, 0] [11, 0] [4, 12, 2, 5] [4, 2, 5] ------------- = --------- [12, 11, 0] [11, 0] denominator=, [12, 11, 1] [3, 12, 4, 12] [3, 4, 12] -------------- = ---------- [12, 11, 1] [11, 1] denominator=, [12, 11, 3] [1, 12, 9, 4] [1, 9, 4] ------------- = --------- [12, 11, 3] [11, 3] [2, 12, 7, 5] [2, 7, 5] ------------- = --------- [12, 11, 3] [11, 3] [3, 12, 5, 6] [3, 5, 6] ------------- = --------- [12, 11, 3] [11, 3] [4, 12, 3, 7] [4, 3, 7] ------------- = --------- [12, 11, 3] [11, 3] [5, 12, 1, 8] [5, 1, 8] ------------- = --------- [12, 11, 3] [11, 3] denominator=, [12, 11, 5] [3, 12, 6, 0] [3, 6, 0] ------------- = --------- [12, 11, 5] [11, 5] denominator=, [12, 11, 6] [2, 12, 8, 0] [2, 8, 0] ------------- = --------- [12, 11, 6] [11, 6] [4, 12, 4, 9] [4, 4, 9] ------------- = --------- [12, 11, 6] [11, 6] denominator=, [12, 11, 7] [3, 12, 6, 9] [3, 6, 9] ------------- = --------- [12, 11, 7] [11, 7] denominator=, [12, 11, 9] [1, 12, 10, 2] [1, 10, 2] -------------- = ---------- [12, 11, 9] [11, 9] [2, 12, 8, 10] [2, 8, 10] -------------- = ---------- [12, 11, 9] [11, 9] [3, 12, 7, 3] [3, 7, 3] ------------- = --------- [12, 11, 9] [11, 9] [4, 12, 5, 11] [4, 5, 11] -------------- = ---------- [12, 11, 9] [11, 9] [5, 12, 4, 4] [5, 4, 4] ------------- = --------- [12, 11, 9] [11, 9] [7, 12, 1, 5] [7, 1, 5] ------------- = --------- [12, 11, 9] [11, 9] denominator=, [12, 11, 11] [3, 12, 7, 12] [3, 7, 12] -------------- = ---------- [12, 11, 11] [11, 11] denominator=, [12, 11, 12] [2, 12, 9, 5] [2, 9, 5] ------------- = --------- [12, 11, 12] [11, 12] [4, 12, 6, 13] [4, 6, 13] -------------- = ---------- [12, 11, 12] [11, 12] [8, 12, 1, 14] [8, 1, 14] -------------- = ---------- [12, 11, 12] [11, 12] denominator=, [12, 11, 13] [3, 12, 8, 6] [3, 8, 6] ------------- = --------- [12, 11, 13] [11, 13] [9, 12, 1, 7] [9, 1, 7] ------------- = --------- [12, 11, 13] [11, 13] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [3, 12, 9, 9] [3, 9, 9] ------------- = --------- [12, 12, 2] [12, 2] [9, 12, 4, 8] [9, 4, 8] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [2, 12, 10, 10] [2, 10, 10] --------------- = ----------- [12, 12, 3] [12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] [10, 12, 4, 8] [10, 4, 8] -------------- = ---------- [12, 12, 3] [12, 3] [14, 12, 1, 7] [14, 1, 7] -------------- = ---------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [1, 0, 12, 1, 14] [1, 0, 1, 14] ----------------- = ------------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [1, 12, 11, 13] [1, 11, 13] --------------- = ----------- [12, 12, 6] [12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [3, 12, 10, 12] [3, 10, 12] --------------- = ----------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [5, 12, 9, 11] [5, 9, 11] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 10] [7, 8, 10] -------------- = ---------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [9, 12, 7, 9] [9, 7, 9] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 8] [11, 6, 8] -------------- = ---------- [12, 12, 6] [12, 6] [13, 12, 5, 7] [13, 5, 7] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 14] [14, 4, 14] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 4, 6] [1, 0, 4, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 1, 12, 3, 13] [1, 1, 3, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 3, 5] [1, 2, 3, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 4, 12, 2, 4] [1, 4, 2, 4] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 5, 12, 1, 11] [1, 5, 1, 11] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 1, 3] [1, 6, 1, 3] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 7, 12, 0, 10] [1, 7, 0, 10] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 8, 12, 0, 2] [1, 8, 0, 2] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [1, 0, 12, 6, 13] [1, 0, 6, 13] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 4, 9] [1, 6, 4, 9] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 12, 12, 2, 5] [1, 12, 2, 5] ----------------- = ------------- [12, 12, 8] [12, 8] [2, 3, 12, 0, 1] [2, 3, 0, 1] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [12, 12, 9] [12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [10, 12, 9, 9] [10, 9, 9] -------------- = ---------- [12, 12, 9] [12, 9] [14, 12, 8, 6] [14, 8, 6] -------------- = ---------- [12, 12, 9] [12, 9] [1, 1, 12, 7, 12] [1, 1, 7, 12] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 5, 12, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 11, 12, 4, 12] [1, 11, 4, 12] ------------------ = -------------- [12, 12, 9] [12, 9] [1, 13, 12, 4, 3] [1, 13, 4, 3] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 2, 12, 3, 0] [2, 2, 3, 0] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 4, 12, 2, 6] [2, 4, 2, 6] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 8, 12, 1, 3] [2, 8, 1, 3] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 10, 12, 0, 9] [2, 10, 0, 9] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [12, 12, 10] [12, 10] [9, 12, 10, 10] [9, 10, 10] --------------- = ----------- [12, 12, 10] [12, 10] [1, 0, 12, 9, 5] [1, 0, 9, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 12, 12, 6, 10] [1, 12, 6, 10] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 3, 12, 5, 5] [2, 3, 5, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 0, 12, 2, 10] [3, 0, 2, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 6, 12, 1, 5] [3, 6, 1, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [13, 7, 12] [1, 13, 1, 3] [1, 1, 3] ------------- = --------- [13, 7, 12] [7, 12] denominator=, [13, 8, 10] [1, 13, 3, 0] [1, 3, 0] ------------- = --------- [13, 8, 10] [8, 10] denominator=, [13, 9, 8] [1, 13, 4, 12] [1, 4, 12] -------------- = ---------- [13, 9, 8] [9, 8] [2, 13, 0, 1] [2, 0, 1] ------------- = --------- [13, 9, 8] [9, 8] denominator=, [13, 10, 6] [1, 13, 6, 9] [1, 6, 9] ------------- = --------- [13, 10, 6] [10, 6] [2, 13, 2, 12] [2, 2, 12] -------------- = ---------- [13, 10, 6] [10, 6] denominator=, [13, 11, 4] [1, 13, 8, 6] [1, 8, 6] ------------- = --------- [13, 11, 4] [11, 4] [2, 13, 5, 8] [2, 5, 8] ------------- = --------- [13, 11, 4] [11, 4] [3, 13, 2, 10] [3, 2, 10] -------------- = ---------- [13, 11, 4] [11, 4] denominator=, [13, 12, 2] [1, 13, 10, 3] [1, 10, 3] -------------- = ---------- [13, 12, 2] [12, 2] [2, 13, 8, 4] [2, 8, 4] ------------- = --------- [13, 12, 2] [12, 2] [3, 13, 6, 5] [3, 6, 5] ------------- = --------- [13, 12, 2] [12, 2] [4, 13, 4, 6] [4, 4, 6] ------------- = --------- [13, 12, 2] [12, 2] [5, 13, 2, 7] [5, 2, 7] ------------- = --------- [13, 12, 2] [12, 2] [6, 13, 0, 8] [6, 0, 8] ------------- = --------- [13, 12, 2] [12, 2] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] ------------------------------------------------------------------------- This ends this book that took, 130.389, seconds to generate. ---------------------------------------------- Base , 16 Lots and Lots of Anomalous Cancellations in base, 16 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 16, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 16, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [3, 9] [9, 8] [8] ------ = --- [3, 9] [3] denominator=, [15, 9] [2, 9, 8] [2, 8] --------- = ------ [15, 9] [15] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 16, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [5, 4] [1, 5] [1] ------ = --- [5, 4] [4] denominator=, [9, 6] [1, 9] [1] ------ = --- [9, 6] [6] denominator=, [9, 8] [3, 9] [3] ------ = --- [9, 8] [8] denominator=, [10, 8] [2, 10] [2] ------- = --- [10, 8] [8] denominator=, [15, 8] [1, 15] [1] ------- = --- [15, 8] [8] denominator=, [15, 12] [3, 15] [3] -------- = ---- [15, 12] [12] denominator=, [15, 14] [7, 15] [7] -------- = ---- [15, 14] [14] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 16, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [9, 6] [1, 9, 0] [1, 0] --------- = ------ [9, 6] [6] denominator=, [10, 8] [1, 10, 4] [1, 4] ---------- = ------ [10, 8] [8] denominator=, [12, 8] [1, 12, 2] [1, 2] ---------- = ------ [12, 8] [8] denominator=, [12, 10] [2, 12, 3] [2, 3] ---------- = ------ [12, 10] [10] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 5, 9] [3, 9, 8] [3, 8] --------- = ------ [1, 5, 9] [1, 5] [12, 9, 4] [12, 4] ---------- = ------- [1, 5, 9] [1, 5] denominator=, [1, 11, 9] [4, 9, 8] [4, 8] ---------- = ------- [1, 11, 9] [1, 11] denominator=, [2, 1, 9] [5, 9, 8] [5, 8] --------- = ------ [2, 1, 9] [2, 1] [1, 3, 9, 4] [1, 3, 4] ------------ = --------- [2, 1, 9] [2, 1] [1, 10, 9, 2] [1, 10, 2] ------------- = ---------- [2, 1, 9] [2, 1] denominator=, [2, 1, 11] [10, 11, 8] [10, 8] ----------- = ------- [2, 1, 11] [2, 1] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 3, 7] [1, 0, 7, 4] [1, 0, 4] ------------ = --------- [2, 3, 7] [2, 3] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [8, 6, 5] [8, 5] --------- = ------ [2, 6, 6] [2, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] [2, 0, 6, 1] [2, 0, 1] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 7, 9] [6, 9, 8] [6, 8] --------- = ------ [2, 7, 9] [2, 7] denominator=, [2, 7, 13] [1, 0, 13, 8] [1, 0, 8] ------------- = --------- [2, 7, 13] [2, 7] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [6, 10, 9] [6, 9] ----------- = ------- [2, 10, 10] [2, 10] [14, 10, 7] [14, 7] ----------- = ------- [2, 10, 10] [2, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [2, 10, 10] [2, 10] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 10, 14] [1, 3, 14, 8] [1, 3, 8] ------------- = --------- [2, 10, 14] [2, 10] denominator=, [2, 12, 12] [9, 12, 10] [9, 10] ----------- = ------- [2, 12, 12] [2, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] [2, 5, 12, 2] [2, 5, 2] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 13, 9] [7, 9, 8] [7, 8] ---------- = ------- [2, 13, 9] [2, 13] [1, 10, 9, 4] [1, 10, 4] ------------- = ---------- [2, 13, 9] [2, 13] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [3, 3, 9] [8, 9, 8] [8, 8] --------- = ------ [3, 3, 9] [3, 3] denominator=, [3, 7, 11] [1, 1, 11, 8] [1, 1, 8] ------------- = --------- [3, 7, 11] [3, 7] [2, 4, 11, 4] [2, 4, 4] ------------- = --------- [3, 7, 11] [3, 7] denominator=, [3, 9, 9] [9, 9, 8] [9, 8] --------- = ------ [3, 9, 9] [3, 9] [15, 9, 7] [15, 7] ---------- = ------- [3, 9, 9] [3, 9] [1, 11, 9, 5] [1, 11, 5] ------------- = ---------- [3, 9, 9] [3, 9] [2, 1, 9, 4] [2, 1, 4] ------------ = --------- [3, 9, 9] [3, 9] [2, 13, 9, 2] [2, 13, 2] ------------- = ---------- [3, 9, 9] [3, 9] [3, 3, 9, 1] [3, 3, 1] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 15, 7] [12, 7, 6] [12, 6] ---------- = ------- [3, 15, 7] [3, 15] [1, 13, 7, 4] [1, 13, 4] ------------- = ---------- [3, 15, 7] [3, 15] [2, 14, 7, 2] [2, 14, 2] ------------- = ---------- [3, 15, 7] [3, 15] denominator=, [3, 15, 9] [10, 9, 8] [10, 8] ---------- = ------- [3, 15, 9] [3, 15] denominator=, [4, 1, 13] [8, 13, 12] [8, 12] ----------- = ------- [4, 1, 13] [4, 1] [1, 11, 13, 8] [1, 11, 8] -------------- = ---------- [4, 1, 13] [4, 1] [2, 14, 13, 4] [2, 14, 4] -------------- = ---------- [4, 1, 13] [4, 1] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 5, 9] [11, 9, 8] [11, 8] ---------- = ------- [4, 5, 9] [4, 5] [2, 8, 9, 4] [2, 8, 4] ------------ = --------- [4, 5, 9] [4, 5] denominator=, [4, 6, 6] [15, 6, 5] [15, 5] ---------- = ------- [4, 6, 6] [4, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] [3, 11, 6, 1] [3, 11, 1] ------------- = ---------- [4, 6, 6] [4, 6] denominator=, [4, 6, 14] [13, 14, 12] [13, 12] ------------ = -------- [4, 6, 14] [4, 6] [2, 0, 14, 8] [2, 0, 8] ------------- = --------- [4, 6, 14] [4, 6] [3, 3, 14, 4] [3, 3, 4] ------------- = --------- [4, 6, 14] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 10] [11, 10, 9] [11, 9] ----------- = ------- [4, 10, 10] [4, 10] [1, 9, 10, 7] [1, 9, 7] ------------- = --------- [4, 10, 10] [4, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] [3, 5, 10, 3] [3, 5, 3] ------------- = --------- [4, 10, 10] [4, 10] [4, 3, 10, 1] [4, 3, 1] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 11, 9] [12, 9, 8] [12, 8] ---------- = ------- [4, 11, 9] [4, 11] denominator=, [4, 12, 12] [10, 12, 11] [10, 11] ------------ = -------- [4, 12, 12] [4, 12] [1, 0, 12, 10] [1, 0, 10] -------------- = ---------- [4, 12, 12] [4, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 2, 12, 7] [2, 2, 7] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [2, 14, 12, 5] [2, 14, 5] -------------- = ---------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] [4, 0, 12, 2] [4, 0, 2] ------------- = --------- [4, 12, 12] [4, 12] [4, 6, 12, 1] [4, 6, 1] ------------- = --------- [4, 12, 12] [4, 12] denominator=, [4, 13, 11] [1, 8, 11, 8] [1, 8, 8] ------------- = --------- [4, 13, 11] [4, 13] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [5, 1, 9] [13, 9, 8] [13, 8] ---------- = ------- [5, 1, 9] [5, 1] [2, 15, 9, 4] [2, 15, 4] ------------- = ---------- [5, 1, 9] [5, 1] [4, 0, 9, 2] [4, 0, 2] ------------ = --------- [5, 1, 9] [5, 1] denominator=, [5, 7, 9] [14, 9, 8] [14, 8] ---------- = ------- [5, 7, 9] [5, 7] denominator=, [5, 11, 7] [2, 10, 7, 4] [2, 10, 4] ------------- = ---------- [5, 11, 7] [5, 11] denominator=, [5, 11, 13] [2, 6, 13, 8] [2, 6, 8] ------------- = --------- [5, 11, 13] [5, 11] denominator=, [5, 13, 9] [15, 9, 8] [15, 8] ---------- = ------- [5, 13, 9] [5, 13] [3, 6, 9, 4] [3, 6, 4] ------------ = --------- [5, 13, 9] [5, 13] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 2, 14] [2, 13, 14, 8] [2, 13, 8] -------------- = ---------- [6, 2, 14] [6, 2] denominator=, [6, 3, 9] [1, 0, 9, 8] [1, 0, 8] ------------ = --------- [6, 3, 9] [6, 3] denominator=, [6, 3, 11] [14, 11, 10] [14, 10] ------------ = -------- [6, 3, 11] [6, 3] [1, 15, 11, 8] [1, 15, 8] -------------- = ---------- [6, 3, 11] [6, 3] [3, 0, 11, 6] [3, 0, 6] ------------- = --------- [6, 3, 11] [6, 3] [4, 1, 11, 4] [4, 1, 4] ------------- = --------- [6, 3, 11] [6, 3] [5, 2, 11, 2] [5, 2, 2] ------------- = --------- [6, 3, 11] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [1, 1, 9, 8] [1, 1, 8] ------------ = --------- [6, 9, 9] [6, 9] [1, 12, 9, 7] [1, 12, 7] ------------- = ---------- [6, 9, 9] [6, 9] [3, 2, 9, 5] [3, 2, 5] ------------ = --------- [6, 9, 9] [6, 9] [3, 13, 9, 4] [3, 13, 4] ------------- = ---------- [6, 9, 9] [6, 9] [5, 3, 9, 2] [5, 3, 2] ------------ = --------- [6, 9, 9] [6, 9] [5, 14, 9, 1] [5, 14, 1] ------------- = ---------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [1, 0, 10, 9] [1, 0, 9] ------------- = --------- [6, 10, 10] [6, 10] [2, 4, 10, 7] [2, 4, 7] ------------- = --------- [6, 10, 10] [6, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] [4, 12, 10, 3] [4, 12, 3] -------------- = ---------- [6, 10, 10] [6, 10] [6, 0, 10, 1] [6, 0, 1] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 9] [1, 2, 9, 8] [1, 2, 8] ------------ = --------- [6, 15, 9] [6, 15] denominator=, [7, 5, 9] [1, 3, 9, 8] [1, 3, 8] ------------ = --------- [7, 5, 9] [7, 5] [4, 4, 9, 4] [4, 4, 4] ------------ = --------- [7, 5, 9] [7, 5] denominator=, [7, 5, 13] [15, 13, 12] [15, 12] ------------ = -------- [7, 5, 13] [7, 5] [2, 0, 13, 10] [2, 0, 10] -------------- = ---------- [7, 5, 13] [7, 5] [3, 1, 13, 8] [3, 1, 8] ------------- = --------- [7, 5, 13] [7, 5] [4, 2, 13, 6] [4, 2, 6] ------------- = --------- [7, 5, 13] [7, 5] [5, 3, 13, 4] [5, 3, 4] ------------- = --------- [7, 5, 13] [7, 5] [6, 4, 13, 2] [6, 4, 2] ------------- = --------- [7, 5, 13] [7, 5] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 9, 11] [2, 6, 11, 8] [2, 6, 8] ------------- = --------- [7, 9, 11] [7, 9] denominator=, [7, 11, 9] [1, 4, 9, 8] [1, 4, 8] ------------ = --------- [7, 11, 9] [7, 11] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [8, 1, 9] [1, 5, 9, 8] [1, 5, 8] ------------ = --------- [8, 1, 9] [8, 1] [4, 11, 9, 4] [4, 11, 4] ------------- = ---------- [8, 1, 9] [8, 1] [6, 6, 9, 2] [6, 6, 2] ------------ = --------- [8, 1, 9] [8, 1] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [1, 13, 6, 5] [1, 13, 5] ------------- = ---------- [8, 6, 6] [8, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] [7, 1, 6, 1] [7, 1, 1] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 7, 9] [1, 6, 9, 8] [1, 6, 8] ------------ = --------- [8, 7, 9] [8, 7] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 10] [1, 5, 10, 9] [1, 5, 9] ------------- = --------- [8, 10, 10] [8, 10] [2, 15, 10, 7] [2, 15, 7] -------------- = ---------- [8, 10, 10] [8, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] [6, 3, 10, 3] [6, 3, 3] ------------- = --------- [8, 10, 10] [8, 10] [7, 13, 10, 1] [7, 13, 1] -------------- = ---------- [8, 10, 10] [8, 10] denominator=, [8, 12, 12] [1, 3, 12, 11] [1, 3, 11] -------------- = ---------- [8, 12, 12] [8, 12] [1, 14, 12, 10] [1, 14, 10] --------------- = ----------- [8, 12, 12] [8, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [3, 15, 12, 7] [3, 15, 7] -------------- = ---------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [5, 5, 12, 5] [5, 5, 5] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] [7, 6, 12, 2] [7, 6, 2] ------------- = --------- [8, 12, 12] [8, 12] [8, 1, 12, 1] [8, 1, 1] ------------- = --------- [8, 12, 12] [8, 12] denominator=, [8, 13, 9] [1, 7, 9, 8] [1, 7, 8] ------------ = --------- [8, 13, 9] [8, 13] [5, 2, 9, 4] [5, 2, 4] ------------ = --------- [8, 13, 9] [8, 13] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 15, 11] [2, 13, 11, 8] [2, 13, 8] -------------- = ---------- [8, 15, 11] [8, 15] [5, 14, 11, 4] [5, 14, 4] -------------- = ---------- [8, 15, 11] [8, 15] denominator=, [8, 15, 13] [3, 12, 13, 8] [3, 12, 8] -------------- = ---------- [8, 15, 13] [8, 15] denominator=, [9, 3, 7] [4, 4, 7, 4] [4, 4, 4] ------------ = --------- [9, 3, 7] [9, 3] denominator=, [9, 3, 9] [1, 8, 9, 8] [1, 8, 8] ------------ = --------- [9, 3, 9] [9, 3] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 14] [4, 7, 14, 8] [4, 7, 8] ------------- = --------- [9, 10, 14] [9, 10] denominator=, [9, 15, 9] [1, 10, 9, 8] [1, 10, 8] ------------- = ---------- [9, 15, 9] [9, 15] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 9] [1, 11, 9, 8] [1, 11, 8] ------------- = ---------- [10, 5, 9] [10, 5] [6, 0, 9, 4] [6, 0, 4] ------------ = --------- [10, 5, 9] [10, 5] denominator=, [10, 5, 11] [3, 4, 11, 8] [3, 4, 8] ------------- = --------- [10, 5, 11] [10, 5] denominator=, [10, 6, 6] [2, 4, 6, 5] [2, 4, 5] ------------ = --------- [10, 6, 6] [10, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] [8, 12, 6, 1] [8, 12, 1] ------------- = ---------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 9, 13] [1, 6, 13, 12] [1, 6, 12] -------------- = ---------- [10, 9, 13] [10, 9] [4, 7, 13, 8] [4, 7, 8] ------------- = --------- [10, 9, 13] [10, 9] [7, 8, 13, 4] [7, 8, 4] ------------- = --------- [10, 9, 13] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 11, 9] [1, 12, 9, 8] [1, 12, 8] ------------- = ---------- [10, 11, 9] [10, 11] denominator=, [10, 12, 12] [2, 5, 12, 10] [2, 5, 10] -------------- = ---------- [10, 12, 12] [10, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] [9, 1, 12, 2] [9, 1, 2] ------------- = --------- [10, 12, 12] [10, 12] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [10, 15, 7] [2, 2, 7, 6] [2, 2, 6] ------------ = --------- [10, 15, 7] [10, 15] [5, 1, 7, 4] [5, 1, 4] ------------ = --------- [10, 15, 7] [10, 15] [8, 0, 7, 2] [8, 0, 2] ------------ = --------- [10, 15, 7] [10, 15] denominator=, [11, 1, 9] [1, 13, 9, 8] [1, 13, 8] ------------- = ---------- [11, 1, 9] [11, 1] [6, 7, 9, 4] [6, 7, 4] ------------ = --------- [11, 1, 9] [11, 1] [8, 12, 9, 2] [8, 12, 2] ------------- = ---------- [11, 1, 9] [11, 1] denominator=, [11, 6, 14] [2, 3, 14, 12] [2, 3, 12] -------------- = ---------- [11, 6, 14] [11, 6] [5, 4, 14, 8] [5, 4, 8] ------------- = --------- [11, 6, 14] [11, 6] [8, 5, 14, 4] [8, 5, 4] ------------- = --------- [11, 6, 14] [11, 6] denominator=, [11, 7, 9] [1, 14, 9, 8] [1, 14, 8] ------------- = ---------- [11, 7, 9] [11, 7] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 13, 9] [1, 15, 9, 8] [1, 15, 8] ------------- = ---------- [11, 13, 9] [11, 13] [6, 14, 9, 4] [6, 14, 4] ------------- = ---------- [11, 13, 9] [11, 13] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 9] [2, 0, 9, 8] [2, 0, 8] ------------ = --------- [12, 3, 9] [12, 3] denominator=, [12, 3, 13] [5, 2, 13, 8] [5, 2, 8] ------------- = --------- [12, 3, 13] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [2, 1, 9, 8] [2, 1, 8] ------------ = --------- [12, 9, 9] [12, 9] [3, 6, 9, 7] [3, 6, 7] ------------ = --------- [12, 9, 9] [12, 9] [6, 0, 9, 5] [6, 0, 5] ------------ = --------- [12, 9, 9] [12, 9] [7, 5, 9, 4] [7, 5, 4] ------------ = --------- [12, 9, 9] [12, 9] [9, 15, 9, 2] [9, 15, 2] ------------- = ---------- [12, 9, 9] [12, 9] [11, 4, 9, 1] [11, 4, 1] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [1, 15, 10, 9] [1, 15, 9] -------------- = ---------- [12, 10, 10] [12, 10] [4, 5, 10, 7] [4, 5, 7] ------------- = --------- [12, 10, 10] [12, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] [9, 1, 10, 3] [9, 1, 3] ------------- = --------- [12, 10, 10] [12, 10] [11, 7, 10, 1] [11, 7, 1] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 11, 7] [5, 14, 7, 4] [5, 14, 4] ------------- = ---------- [12, 11, 7] [12, 11] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [12, 15, 9] [2, 2, 9, 8] [2, 2, 8] ------------ = --------- [12, 15, 9] [12, 15] denominator=, [13, 1, 11] [4, 2, 11, 8] [4, 2, 8] ------------- = --------- [13, 1, 11] [13, 1] denominator=, [13, 2, 14] [6, 1, 14, 8] [6, 1, 8] ------------- = --------- [13, 2, 14] [13, 2] denominator=, [13, 5, 9] [2, 3, 9, 8] [2, 3, 8] ------------ = --------- [13, 5, 9] [13, 5] [7, 12, 9, 4] [7, 12, 4] ------------- = ---------- [13, 5, 9] [13, 5] denominator=, [13, 11, 9] [2, 4, 9, 8] [2, 4, 8] ------------ = --------- [13, 11, 9] [13, 11] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 1, 9] [2, 5, 9, 8] [2, 5, 8] ------------ = --------- [14, 1, 9] [14, 1] [8, 3, 9, 4] [8, 3, 4] ------------ = --------- [14, 1, 9] [14, 1] [11, 2, 9, 2] [11, 2, 2] ------------- = ---------- [14, 1, 9] [14, 1] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 6, 6] [3, 2, 6, 5] [3, 2, 5] ------------ = --------- [14, 6, 6] [14, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] [12, 2, 6, 1] [12, 2, 1] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 7, 9] [2, 6, 9, 8] [2, 6, 8] ------------ = --------- [14, 7, 9] [14, 7] denominator=, [14, 7, 11] [4, 9, 11, 8] [4, 9, 8] ------------- = --------- [14, 7, 11] [14, 7] [9, 8, 11, 4] [9, 8, 4] ------------- = --------- [14, 7, 11] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 10, 10] [2, 4, 10, 9] [2, 4, 9] ------------- = --------- [14, 10, 10] [14, 10] [5, 0, 10, 7] [5, 0, 7] ------------- = --------- [14, 10, 10] [14, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] [10, 8, 10, 3] [10, 8, 3] -------------- = ---------- [14, 10, 10] [14, 10] [13, 4, 10, 1] [13, 4, 1] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 12, 12] [3, 3, 12, 10] [3, 3, 10] -------------- = ---------- [14, 12, 12] [14, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] [12, 7, 12, 2] [12, 7, 2] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 13, 9] [2, 7, 9, 8] [2, 7, 8] ------------ = --------- [14, 13, 9] [14, 13] [8, 10, 9, 4] [8, 10, 4] ------------- = ---------- [14, 13, 9] [14, 13] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [15, 3, 9] [2, 8, 9, 8] [2, 8, 8] ------------ = --------- [15, 3, 9] [15, 3] denominator=, [15, 7, 13] [6, 8, 13, 8] [6, 8, 8] ------------- = --------- [15, 7, 13] [15, 7] denominator=, [15, 9, 9] [2, 9, 9, 8] [2, 9, 8] ------------ = --------- [15, 9, 9] [15, 9] [4, 3, 9, 7] [4, 3, 7] ------------ = --------- [15, 9, 9] [15, 9] [7, 7, 9, 5] [7, 7, 5] ------------ = --------- [15, 9, 9] [15, 9] [9, 1, 9, 4] [9, 1, 4] ------------ = --------- [15, 9, 9] [15, 9] [12, 5, 9, 2] [12, 5, 2] ------------- = ---------- [15, 9, 9] [15, 9] [13, 15, 9, 1] [13, 15, 1] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 13, 11] [5, 0, 11, 8] [5, 0, 8] ------------- = --------- [15, 13, 11] [15, 13] denominator=, [15, 15, 9] [2, 10, 9, 8] [2, 10, 8] ------------- = ---------- [15, 15, 9] [15, 15] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 5, 9] [3, 9, 8, 0] [3, 8, 0] ------------ = --------- [1, 5, 9] [1, 5] [12, 9, 4, 0] [12, 4, 0] ------------- = ---------- [1, 5, 9] [1, 5] denominator=, [1, 11, 9] [4, 9, 8, 0] [4, 8, 0] ------------ = --------- [1, 11, 9] [1, 11] denominator=, [2, 1, 9] [5, 9, 8, 0] [5, 8, 0] ------------ = --------- [2, 1, 9] [2, 1] [1, 3, 9, 4, 0] [1, 3, 4, 0] --------------- = ------------ [2, 1, 9] [2, 1] [1, 10, 9, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [2, 1, 9] [2, 1] denominator=, [2, 1, 11] [10, 11, 8, 0] [10, 8, 0] -------------- = ---------- [2, 1, 11] [2, 1] denominator=, [2, 3, 7] [1, 0, 7, 4, 0] [1, 0, 4, 0] --------------- = ------------ [2, 3, 7] [2, 3] denominator=, [2, 7, 9] [6, 9, 8, 0] [6, 8, 0] ------------ = --------- [2, 7, 9] [2, 7] denominator=, [2, 7, 13] [1, 0, 13, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [2, 7, 13] [2, 7] denominator=, [2, 10, 14] [1, 3, 14, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [2, 10, 14] [2, 10] denominator=, [2, 13, 9] [7, 9, 8, 0] [7, 8, 0] ------------ = --------- [2, 13, 9] [2, 13] [1, 10, 9, 4, 0] [1, 10, 4, 0] ---------------- = ------------- [2, 13, 9] [2, 13] denominator=, [3, 3, 9] [8, 9, 8, 0] [8, 8, 0] ------------ = --------- [3, 3, 9] [3, 3] denominator=, [3, 7, 11] [1, 1, 11, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [3, 7, 11] [3, 7] [2, 4, 11, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [3, 7, 11] [3, 7] denominator=, [3, 9, 9] [9, 9, 8] [9, 8] --------- = ------ [3, 9, 9] [3, 9] [6, 9, 8, 8] [6, 8, 8] ------------ = --------- [3, 9, 9] [3, 9] [9, 9, 8, 0] [9, 8, 0] ------------ = --------- [3, 9, 9] [3, 9] [15, 9, 7, 0] [15, 7, 0] ------------- = ---------- [3, 9, 9] [3, 9] [1, 2, 9, 6, 8] [1, 2, 6, 8] --------------- = ------------ [3, 9, 9] [3, 9] [1, 8, 9, 5, 8] [1, 8, 5, 8] --------------- = ------------ [3, 9, 9] [3, 9] [1, 11, 9, 5, 0] [1, 11, 5, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 1, 9, 4, 0] [2, 1, 4, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 4, 9, 3, 8] [2, 4, 3, 8] --------------- = ------------ [3, 9, 9] [3, 9] [2, 10, 9, 2, 8] [2, 10, 2, 8] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 13, 9, 2, 0] [2, 13, 2, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [3, 3, 9, 1, 0] [3, 3, 1, 0] --------------- = ------------ [3, 9, 9] [3, 9] [3, 6, 9, 0, 8] [3, 6, 0, 8] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 15, 7] [12, 7, 6, 0] [12, 6, 0] ------------- = ---------- [3, 15, 7] [3, 15] [1, 13, 7, 4, 0] [1, 13, 4, 0] ---------------- = ------------- [3, 15, 7] [3, 15] [2, 14, 7, 2, 0] [2, 14, 2, 0] ---------------- = ------------- [3, 15, 7] [3, 15] denominator=, [3, 15, 9] [10, 9, 8, 0] [10, 8, 0] ------------- = ---------- [3, 15, 9] [3, 15] denominator=, [4, 1, 13] [8, 13, 12, 0] [8, 12, 0] -------------- = ---------- [4, 1, 13] [4, 1] [1, 11, 13, 8, 0] [1, 11, 8, 0] ----------------- = ------------- [4, 1, 13] [4, 1] [2, 14, 13, 4, 0] [2, 14, 4, 0] ----------------- = ------------- [4, 1, 13] [4, 1] denominator=, [4, 5, 9] [11, 9, 8, 0] [11, 8, 0] ------------- = ---------- [4, 5, 9] [4, 5] [2, 8, 9, 4, 0] [2, 8, 4, 0] --------------- = ------------ [4, 5, 9] [4, 5] denominator=, [4, 6, 14] [13, 14, 12, 0] [13, 12, 0] --------------- = ----------- [4, 6, 14] [4, 6] [2, 0, 14, 8, 0] [2, 0, 8, 0] ---------------- = ------------ [4, 6, 14] [4, 6] [3, 3, 14, 4, 0] [3, 3, 4, 0] ---------------- = ------------ [4, 6, 14] [4, 6] denominator=, [4, 11, 9] [12, 9, 8, 0] [12, 8, 0] ------------- = ---------- [4, 11, 9] [4, 11] denominator=, [4, 13, 11] [1, 8, 11, 8, 0] [1, 8, 8, 0] ---------------- = ------------ [4, 13, 11] [4, 13] denominator=, [5, 1, 9] [13, 9, 8, 0] [13, 8, 0] ------------- = ---------- [5, 1, 9] [5, 1] [2, 15, 9, 4, 0] [2, 15, 4, 0] ---------------- = ------------- [5, 1, 9] [5, 1] [4, 0, 9, 2, 0] [4, 0, 2, 0] --------------- = ------------ [5, 1, 9] [5, 1] denominator=, [5, 7, 9] [14, 9, 8, 0] [14, 8, 0] ------------- = ---------- [5, 7, 9] [5, 7] denominator=, [5, 11, 7] [2, 10, 7, 4, 0] [2, 10, 4, 0] ---------------- = ------------- [5, 11, 7] [5, 11] denominator=, [5, 11, 13] [2, 6, 13, 8, 0] [2, 6, 8, 0] ---------------- = ------------ [5, 11, 13] [5, 11] denominator=, [5, 13, 9] [15, 9, 8, 0] [15, 8, 0] ------------- = ---------- [5, 13, 9] [5, 13] [3, 6, 9, 4, 0] [3, 6, 4, 0] --------------- = ------------ [5, 13, 9] [5, 13] denominator=, [6, 2, 14] [2, 13, 14, 8, 0] [2, 13, 8, 0] ----------------- = ------------- [6, 2, 14] [6, 2] denominator=, [6, 3, 9] [1, 0, 9, 8, 0] [1, 0, 8, 0] --------------- = ------------ [6, 3, 9] [6, 3] denominator=, [6, 3, 11] [14, 11, 10, 0] [14, 10, 0] --------------- = ----------- [6, 3, 11] [6, 3] [1, 15, 11, 8, 0] [1, 15, 8, 0] ----------------- = ------------- [6, 3, 11] [6, 3] [3, 0, 11, 6, 0] [3, 0, 6, 0] ---------------- = ------------ [6, 3, 11] [6, 3] [4, 1, 11, 4, 0] [4, 1, 4, 0] ---------------- = ------------ [6, 3, 11] [6, 3] [5, 2, 11, 2, 0] [5, 2, 2, 0] ---------------- = ------------ [6, 3, 11] [6, 3] denominator=, [6, 9, 9] [1, 1, 9, 8, 0] [1, 1, 8, 0] --------------- = ------------ [6, 9, 9] [6, 9] [1, 12, 9, 7, 0] [1, 12, 7, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [3, 2, 9, 5, 0] [3, 2, 5, 0] --------------- = ------------ [6, 9, 9] [6, 9] [3, 13, 9, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [5, 3, 9, 2, 0] [5, 3, 2, 0] --------------- = ------------ [6, 9, 9] [6, 9] [5, 14, 9, 1, 0] [5, 14, 1, 0] ---------------- = ------------- [6, 9, 9] [6, 9] denominator=, [6, 15, 9] [1, 2, 9, 8, 0] [1, 2, 8, 0] --------------- = ------------ [6, 15, 9] [6, 15] denominator=, [7, 5, 9] [1, 3, 9, 8, 0] [1, 3, 8, 0] --------------- = ------------ [7, 5, 9] [7, 5] [4, 4, 9, 4, 0] [4, 4, 4, 0] --------------- = ------------ [7, 5, 9] [7, 5] denominator=, [7, 5, 13] [15, 13, 12, 0] [15, 12, 0] --------------- = ----------- [7, 5, 13] [7, 5] [2, 0, 13, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [7, 5, 13] [7, 5] [3, 1, 13, 8, 0] [3, 1, 8, 0] ---------------- = ------------ [7, 5, 13] [7, 5] [4, 2, 13, 6, 0] [4, 2, 6, 0] ---------------- = ------------ [7, 5, 13] [7, 5] [5, 3, 13, 4, 0] [5, 3, 4, 0] ---------------- = ------------ [7, 5, 13] [7, 5] [6, 4, 13, 2, 0] [6, 4, 2, 0] ---------------- = ------------ [7, 5, 13] [7, 5] denominator=, [7, 9, 11] [2, 6, 11, 8, 0] [2, 6, 8, 0] ---------------- = ------------ [7, 9, 11] [7, 9] denominator=, [7, 11, 9] [1, 4, 9, 8, 0] [1, 4, 8, 0] --------------- = ------------ [7, 11, 9] [7, 11] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [8, 1, 9] [1, 5, 9, 8, 0] [1, 5, 8, 0] --------------- = ------------ [8, 1, 9] [8, 1] [4, 11, 9, 4, 0] [4, 11, 4, 0] ---------------- = ------------- [8, 1, 9] [8, 1] [6, 6, 9, 2, 0] [6, 6, 2, 0] --------------- = ------------ [8, 1, 9] [8, 1] denominator=, [8, 7, 9] [1, 6, 9, 8, 0] [1, 6, 8, 0] --------------- = ------------ [8, 7, 9] [8, 7] denominator=, [8, 13, 9] [1, 7, 9, 8, 0] [1, 7, 8, 0] --------------- = ------------ [8, 13, 9] [8, 13] [5, 2, 9, 4, 0] [5, 2, 4, 0] --------------- = ------------ [8, 13, 9] [8, 13] denominator=, [8, 15, 11] [2, 13, 11, 8, 0] [2, 13, 8, 0] ----------------- = ------------- [8, 15, 11] [8, 15] [5, 14, 11, 4, 0] [5, 14, 4, 0] ----------------- = ------------- [8, 15, 11] [8, 15] denominator=, [8, 15, 13] [3, 12, 13, 8, 0] [3, 12, 8, 0] ----------------- = ------------- [8, 15, 13] [8, 15] denominator=, [9, 3, 7] [4, 4, 7, 4, 0] [4, 4, 4, 0] --------------- = ------------ [9, 3, 7] [9, 3] denominator=, [9, 3, 9] [1, 8, 9, 8, 0] [1, 8, 8, 0] --------------- = ------------ [9, 3, 9] [9, 3] denominator=, [9, 10, 14] [4, 7, 14, 8, 0] [4, 7, 8, 0] ---------------- = ------------ [9, 10, 14] [9, 10] denominator=, [9, 15, 9] [1, 10, 9, 8, 0] [1, 10, 8, 0] ---------------- = ------------- [9, 15, 9] [9, 15] denominator=, [10, 5, 9] [1, 11, 9, 8, 0] [1, 11, 8, 0] ---------------- = ------------- [10, 5, 9] [10, 5] [6, 0, 9, 4, 0] [6, 0, 4, 0] --------------- = ------------ [10, 5, 9] [10, 5] denominator=, [10, 5, 11] [3, 4, 11, 8, 0] [3, 4, 8, 0] ---------------- = ------------ [10, 5, 11] [10, 5] denominator=, [10, 9, 13] [1, 6, 13, 12, 0] [1, 6, 12, 0] ----------------- = ------------- [10, 9, 13] [10, 9] [4, 7, 13, 8, 0] [4, 7, 8, 0] ---------------- = ------------ [10, 9, 13] [10, 9] [7, 8, 13, 4, 0] [7, 8, 4, 0] ---------------- = ------------ [10, 9, 13] [10, 9] denominator=, [10, 11, 9] [1, 12, 9, 8, 0] [1, 12, 8, 0] ---------------- = ------------- [10, 11, 9] [10, 11] denominator=, [10, 15, 7] [2, 2, 7, 6, 0] [2, 2, 6, 0] --------------- = ------------ [10, 15, 7] [10, 15] [5, 1, 7, 4, 0] [5, 1, 4, 0] --------------- = ------------ [10, 15, 7] [10, 15] [8, 0, 7, 2, 0] [8, 0, 2, 0] --------------- = ------------ [10, 15, 7] [10, 15] denominator=, [11, 1, 9] [1, 13, 9, 8, 0] [1, 13, 8, 0] ---------------- = ------------- [11, 1, 9] [11, 1] [6, 7, 9, 4, 0] [6, 7, 4, 0] --------------- = ------------ [11, 1, 9] [11, 1] [8, 12, 9, 2, 0] [8, 12, 2, 0] ---------------- = ------------- [11, 1, 9] [11, 1] denominator=, [11, 6, 14] [2, 3, 14, 12, 0] [2, 3, 12, 0] ----------------- = ------------- [11, 6, 14] [11, 6] [5, 4, 14, 8, 0] [5, 4, 8, 0] ---------------- = ------------ [11, 6, 14] [11, 6] [8, 5, 14, 4, 0] [8, 5, 4, 0] ---------------- = ------------ [11, 6, 14] [11, 6] denominator=, [11, 7, 9] [1, 14, 9, 8, 0] [1, 14, 8, 0] ---------------- = ------------- [11, 7, 9] [11, 7] denominator=, [11, 13, 9] [1, 15, 9, 8, 0] [1, 15, 8, 0] ---------------- = ------------- [11, 13, 9] [11, 13] [6, 14, 9, 4, 0] [6, 14, 4, 0] ---------------- = ------------- [11, 13, 9] [11, 13] denominator=, [12, 3, 9] [2, 0, 9, 8, 0] [2, 0, 8, 0] --------------- = ------------ [12, 3, 9] [12, 3] denominator=, [12, 3, 13] [5, 2, 13, 8, 0] [5, 2, 8, 0] ---------------- = ------------ [12, 3, 13] [12, 3] denominator=, [12, 9, 9] [2, 1, 9, 8, 0] [2, 1, 8, 0] --------------- = ------------ [12, 9, 9] [12, 9] [3, 6, 9, 7, 0] [3, 6, 7, 0] --------------- = ------------ [12, 9, 9] [12, 9] [6, 0, 9, 5, 0] [6, 0, 5, 0] --------------- = ------------ [12, 9, 9] [12, 9] [7, 5, 9, 4, 0] [7, 5, 4, 0] --------------- = ------------ [12, 9, 9] [12, 9] [9, 15, 9, 2, 0] [9, 15, 2, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [11, 4, 9, 1, 0] [11, 4, 1, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 11, 7] [5, 14, 7, 4, 0] [5, 14, 4, 0] ---------------- = ------------- [12, 11, 7] [12, 11] denominator=, [12, 15, 9] [2, 2, 9, 8, 0] [2, 2, 8, 0] --------------- = ------------ [12, 15, 9] [12, 15] denominator=, [13, 1, 11] [4, 2, 11, 8, 0] [4, 2, 8, 0] ---------------- = ------------ [13, 1, 11] [13, 1] denominator=, [13, 2, 14] [6, 1, 14, 8, 0] [6, 1, 8, 0] ---------------- = ------------ [13, 2, 14] [13, 2] denominator=, [13, 5, 9] [2, 3, 9, 8, 0] [2, 3, 8, 0] --------------- = ------------ [13, 5, 9] [13, 5] [7, 12, 9, 4, 0] [7, 12, 4, 0] ---------------- = ------------- [13, 5, 9] [13, 5] denominator=, [13, 11, 9] [2, 4, 9, 8, 0] [2, 4, 8, 0] --------------- = ------------ [13, 11, 9] [13, 11] denominator=, [14, 1, 9] [2, 5, 9, 8, 0] [2, 5, 8, 0] --------------- = ------------ [14, 1, 9] [14, 1] [8, 3, 9, 4, 0] [8, 3, 4, 0] --------------- = ------------ [14, 1, 9] [14, 1] [11, 2, 9, 2, 0] [11, 2, 2, 0] ---------------- = ------------- [14, 1, 9] [14, 1] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 7, 9] [2, 6, 9, 8, 0] [2, 6, 8, 0] --------------- = ------------ [14, 7, 9] [14, 7] denominator=, [14, 7, 11] [4, 9, 11, 8, 0] [4, 9, 8, 0] ---------------- = ------------ [14, 7, 11] [14, 7] [9, 8, 11, 4, 0] [9, 8, 4, 0] ---------------- = ------------ [14, 7, 11] [14, 7] denominator=, [14, 13, 9] [2, 7, 9, 8, 0] [2, 7, 8, 0] --------------- = ------------ [14, 13, 9] [14, 13] [8, 10, 9, 4, 0] [8, 10, 4, 0] ---------------- = ------------- [14, 13, 9] [14, 13] denominator=, [15, 3, 9] [2, 8, 9, 8, 0] [2, 8, 8, 0] --------------- = ------------ [15, 3, 9] [15, 3] denominator=, [15, 7, 13] [6, 8, 13, 8, 0] [6, 8, 8, 0] ---------------- = ------------ [15, 7, 13] [15, 7] denominator=, [15, 9, 9] [2, 9, 9, 8] [2, 9, 8] ------------ = --------- [15, 9, 9] [15, 9] [1, 12, 9, 8, 8] [1, 12, 8, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [2, 9, 9, 8, 0] [2, 9, 8, 0] --------------- = ------------ [15, 9, 9] [15, 9] [4, 3, 9, 7, 0] [4, 3, 7, 0] --------------- = ------------ [15, 9, 9] [15, 9] [5, 0, 9, 6, 8] [5, 0, 6, 8] --------------- = ------------ [15, 9, 9] [15, 9] [6, 10, 9, 5, 8] [6, 10, 5, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [7, 7, 9, 5, 0] [7, 7, 5, 0] --------------- = ------------ [15, 9, 9] [15, 9] [9, 1, 9, 4, 0] [9, 1, 4, 0] --------------- = ------------ [15, 9, 9] [15, 9] [9, 14, 9, 3, 8] [9, 14, 3, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [11, 8, 9, 2, 8] [11, 8, 2, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [12, 5, 9, 2, 0] [12, 5, 2, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [13, 15, 9, 1, 0] [13, 15, 1, 0] ----------------- = -------------- [15, 9, 9] [15, 9] [14, 12, 9, 0, 8] [14, 12, 0, 8] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 13, 11] [5, 0, 11, 8, 0] [5, 0, 8, 0] ---------------- = ------------ [15, 13, 11] [15, 13] denominator=, [15, 15, 9] [2, 10, 9, 8, 0] [2, 10, 8, 0] ---------------- = ------------- [15, 15, 9] [15, 15] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 4] [2, 10] [2] ---------- = ------ [1, 10, 4] [1, 4] denominator=, [1, 10, 8] [6, 10] [6] ---------- = ------ [1, 10, 8] [1, 8] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 8] [4, 12] [4] ---------- = ------ [1, 12, 8] [1, 8] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [1, 15, 0] [1, 15] [1] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 8] [3, 15] [3] ---------- = ------ [1, 15, 8] [1, 8] denominator=, [1, 15, 12] [7, 15] [7] ----------- = ------- [1, 15, 12] [1, 12] denominator=, [1, 15, 14] [15, 15] [15] ----------- = ------- [1, 15, 14] [1, 14] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 5, 4] [9, 5] [9] --------- = ------ [2, 5, 4] [2, 4] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 9, 8] [15, 9] [15] --------- = ------ [2, 9, 8] [2, 8] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [2, 15, 0] [2, 15] [2] ---------- = ------ [2, 15, 0] [2, 0] denominator=, [2, 15, 4] [3, 15] [3] ---------- = ------ [2, 15, 4] [2, 4] denominator=, [2, 15, 8] [5, 15] [5] ---------- = ------ [2, 15, 8] [2, 8] denominator=, [2, 15, 10] [7, 15] [7] ----------- = ------- [2, 15, 10] [2, 10] denominator=, [2, 15, 12] [11, 15] [11] ----------- = ------- [2, 15, 12] [2, 12] denominator=, [2, 15, 13] [15, 15] [15] ----------- = ------- [2, 15, 13] [2, 13] denominator=, [2, 15, 14] [1, 7, 15] [1, 7] ----------- = ------- [2, 15, 14] [2, 14] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 5, 4] [13, 5] [13] --------- = ------ [3, 5, 4] [3, 4] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 9, 8] [1, 5, 9] [1, 5] --------- = ------ [3, 9, 8] [3, 8] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 10, 8] [14, 10] [14] ---------- = ------ [3, 10, 8] [3, 8] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [3, 15] [3] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 8] [7, 15] [7] ---------- = ------ [3, 15, 8] [3, 8] denominator=, [3, 15, 12] [15, 15] [15] ----------- = ------- [3, 15, 12] [3, 12] denominator=, [3, 15, 14] [1, 15, 15] [1, 15] ----------- = ------- [3, 15, 14] [3, 14] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 3, 2] [11, 3] [11] --------- = ------ [4, 3, 2] [4, 2] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 5, 4] [1, 1, 5] [1, 1] --------- = ------ [4, 5, 4] [4, 4] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 9, 8] [1, 11, 9] [1, 11] ---------- = ------- [4, 9, 8] [4, 8] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 10, 8] [1, 2, 10] [1, 2] ---------- = ------ [4, 10, 8] [4, 8] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 15, 0] [4, 15] [4] ---------- = ------ [4, 15, 0] [4, 0] denominator=, [4, 15, 6] [7, 15] [7] ---------- = ------ [4, 15, 6] [4, 6] denominator=, [4, 15, 8] [9, 15] [9] ---------- = ------ [4, 15, 8] [4, 8] denominator=, [4, 15, 11] [15, 15] [15] ----------- = ------- [4, 15, 11] [4, 11] denominator=, [4, 15, 12] [1, 3, 15] [1, 3] ----------- = ------- [4, 15, 12] [4, 12] denominator=, [4, 15, 14] [2, 7, 15] [2, 7] ----------- = ------- [4, 15, 14] [4, 14] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 4] [5, 4] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 6, 4] [14, 6] [14] --------- = ------ [5, 6, 4] [5, 4] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 9, 8] [2, 1, 9] [2, 1] --------- = ------ [5, 9, 8] [5, 8] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 10, 8] [1, 6, 10] [1, 6] ---------- = ------ [5, 10, 8] [5, 8] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [5, 15] [5] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 4] [7, 15] [7] ---------- = ------ [5, 15, 4] [5, 4] denominator=, [5, 15, 8] [11, 15] [11] ---------- = ------ [5, 15, 8] [5, 8] denominator=, [5, 15, 10] [15, 15] [15] ----------- = ------- [5, 15, 10] [5, 10] denominator=, [5, 15, 12] [1, 7, 15] [1, 7] ----------- = ------- [5, 15, 12] [5, 12] denominator=, [5, 15, 13] [1, 15, 15] [1, 15] ----------- = ------- [5, 15, 13] [5, 13] denominator=, [5, 15, 14] [2, 15, 15] [2, 15] ----------- = ------- [5, 15, 14] [5, 14] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 5, 4] [1, 9, 5] [1, 9] --------- = ------ [6, 5, 4] [6, 4] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 9, 6] [1, 1, 9] [1, 1] --------- = ------ [6, 9, 6] [6, 6] denominator=, [6, 9, 8] [2, 7, 9] [2, 7] --------- = ------ [6, 9, 8] [6, 8] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 10, 8] [1, 10, 10] [1, 10] ----------- = ------- [6, 10, 8] [6, 8] denominator=, [6, 10, 9] [2, 10, 10] [2, 10] ----------- = ------- [6, 10, 9] [6, 9] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 15, 0] [6, 15] [6] ---------- = ------ [6, 15, 0] [6, 0] denominator=, [6, 15, 2] [7, 15] [7] ---------- = ------ [6, 15, 2] [6, 2] denominator=, [6, 15, 8] [13, 15] [13] ---------- = ------ [6, 15, 8] [6, 8] denominator=, [6, 15, 9] [15, 15] [15] ---------- = ------ [6, 15, 9] [6, 9] denominator=, [6, 15, 12] [1, 11, 15] [1, 11] ----------- = ------- [6, 15, 12] [6, 12] denominator=, [6, 15, 14] [3, 7, 15] [3, 7] ----------- = ------- [6, 15, 14] [6, 14] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [7, 3, 2] [7, 2] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 5, 4] [1, 13, 5] [1, 13] ---------- = ------- [7, 5, 4] [7, 4] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 9, 8] [2, 13, 9] [2, 13] ---------- = ------- [7, 9, 8] [7, 8] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 10, 8] [1, 14, 10] [1, 14] ----------- = ------- [7, 10, 8] [7, 8] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 12, 8] [1, 4, 12] [1, 4] ---------- = ------ [7, 12, 8] [7, 8] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 15, 0] [7, 15] [7] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 8] [15, 15] [15] ---------- = ------ [7, 15, 8] [7, 8] denominator=, [7, 15, 12] [1, 15, 15] [1, 15] ----------- = ------- [7, 15, 12] [7, 12] denominator=, [7, 15, 14] [3, 15, 15] [3, 15] ----------- = ------- [7, 15, 14] [7, 14] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 5, 2] [13, 5] [13] --------- = ------ [8, 5, 2] [8, 2] denominator=, [8, 5, 4] [2, 1, 5] [2, 1] --------- = ------ [8, 5, 4] [8, 4] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [8, 6, 4] [8, 4] denominator=, [8, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [8, 6, 5] [8, 5] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 9, 8] [3, 3, 9] [3, 3] --------- = ------ [8, 9, 8] [8, 8] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [2, 2, 10] [2, 2] ---------- = ------ [8, 10, 8] [8, 8] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 13, 12] [4, 1, 13] [4, 1] ----------- = ------- [8, 13, 12] [8, 12] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 15, 0] [8, 15] [8] ---------- = ------ [8, 15, 0] [8, 0] denominator=, [8, 15, 4] [11, 15] [11] ---------- = ------ [8, 15, 4] [8, 4] denominator=, [8, 15, 7] [15, 15] [15] ---------- = ------ [8, 15, 7] [8, 7] denominator=, [8, 15, 8] [1, 1, 15] [1, 1] ---------- = ------ [8, 15, 8] [8, 8] denominator=, [8, 15, 10] [1, 7, 15] [1, 7] ----------- = ------- [8, 15, 10] [8, 10] denominator=, [8, 15, 12] [2, 3, 15] [2, 3] ----------- = ------- [8, 15, 12] [8, 12] denominator=, [8, 15, 13] [2, 15, 15] [2, 15] ----------- = ------- [8, 15, 13] [8, 13] denominator=, [8, 15, 14] [4, 7, 15] [4, 7] ----------- = ------- [8, 15, 14] [8, 14] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [9, 5, 3] [9, 3] denominator=, [9, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [9, 5, 4] [9, 4] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [9, 9, 6] [9, 6] denominator=, [9, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [9, 9, 8] [9, 8] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 10, 8] [2, 6, 10] [2, 6] ---------- = ------ [9, 10, 8] [9, 8] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 12, 10] [2, 12, 12] [2, 12] ----------- = ------- [9, 12, 10] [9, 10] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 15, 0] [9, 15] [9] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 6] [15, 15] [15] ---------- = ------ [9, 15, 6] [9, 6] denominator=, [9, 15, 8] [1, 3, 15] [1, 3] ---------- = ------ [9, 15, 8] [9, 8] denominator=, [9, 15, 11] [1, 15, 15] [1, 15] ----------- = ------- [9, 15, 11] [9, 11] denominator=, [9, 15, 12] [2, 7, 15] [2, 7] ----------- = ------- [9, 15, 12] [9, 12] denominator=, [9, 15, 14] [4, 15, 15] [4, 15] ----------- = ------- [9, 15, 14] [9, 14] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 3, 2] [1, 11, 3] [1, 11] ---------- = ------- [10, 3, 2] [10, 2] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 5, 4] [2, 9, 5] [2, 9] ---------- = ------- [10, 5, 4] [10, 4] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 9, 8] [3, 15, 9] [3, 15] ---------- = ------- [10, 9, 8] [10, 8] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [10, 10, 8] [10, 8] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 11, 8] [2, 1, 11] [2, 1] ----------- = ------- [10, 11, 8] [10, 8] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [10, 12, 8] [10, 8] denominator=, [10, 12, 11] [4, 12, 12] [4, 12] ------------ = -------- [10, 12, 11] [10, 11] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 15, 0] [10, 15] [10] ----------- = ------- [10, 15, 0] [10, 0] denominator=, [10, 15, 5] [15, 15] [15] ----------- = ------- [10, 15, 5] [10, 5] denominator=, [10, 15, 8] [1, 5, 15] [1, 5] ----------- = ------- [10, 15, 8] [10, 8] denominator=, [10, 15, 12] [2, 11, 15] [2, 11] ------------ = -------- [10, 15, 12] [10, 12] denominator=, [10, 15, 14] [5, 7, 15] [5, 7] ------------ = -------- [10, 15, 14] [10, 14] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 5, 4] [2, 13, 5] [2, 13] ---------- = ------- [11, 5, 4] [11, 4] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 6, 4] [1, 14, 6] [1, 14] ---------- = ------- [11, 6, 4] [11, 4] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 9, 8] [4, 5, 9] [4, 5] ---------- = ------- [11, 9, 8] [11, 8] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 10, 4] [1, 2, 10] [1, 2] ----------- = ------- [11, 10, 4] [11, 4] denominator=, [11, 10, 6] [1, 10, 10] [1, 10] ----------- = ------- [11, 10, 6] [11, 6] denominator=, [11, 10, 8] [2, 14, 10] [2, 14] ----------- = ------- [11, 10, 8] [11, 8] denominator=, [11, 10, 9] [4, 10, 10] [4, 10] ----------- = ------- [11, 10, 9] [11, 9] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 15, 0] [11, 15] [11] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 4] [15, 15] [15] ----------- = ------- [11, 15, 4] [11, 4] denominator=, [11, 15, 8] [1, 7, 15] [1, 7] ----------- = ------- [11, 15, 8] [11, 8] denominator=, [11, 15, 10] [1, 15, 15] [1, 15] ------------ = -------- [11, 15, 10] [11, 10] denominator=, [11, 15, 12] [2, 15, 15] [2, 15] ------------ = -------- [11, 15, 12] [11, 12] denominator=, [11, 15, 13] [3, 15, 15] [3, 15] ------------ = -------- [11, 15, 13] [11, 13] denominator=, [11, 15, 14] [5, 15, 15] [5, 15] ------------ = -------- [11, 15, 14] [11, 14] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 5, 4] [3, 1, 5] [3, 1] ---------- = ------- [12, 5, 4] [12, 4] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 7, 6] [3, 15, 7] [3, 15] ---------- = ------- [12, 7, 6] [12, 6] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 9, 4] [1, 5, 9] [1, 5] ---------- = ------- [12, 9, 4] [12, 4] denominator=, [12, 9, 6] [2, 1, 9] [2, 1] ---------- = ------- [12, 9, 6] [12, 6] denominator=, [12, 9, 8] [4, 11, 9] [4, 11] ---------- = ------- [12, 9, 8] [12, 8] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 10, 8] [3, 2, 10] [3, 2] ----------- = ------- [12, 10, 8] [12, 8] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 15, 0] [12, 15] [12] ----------- = ------- [12, 15, 0] [12, 0] denominator=, [12, 15, 3] [15, 15] [15] ----------- = ------- [12, 15, 3] [12, 3] denominator=, [12, 15, 8] [1, 9, 15] [1, 9] ----------- = ------- [12, 15, 8] [12, 8] denominator=, [12, 15, 12] [3, 3, 15] [3, 3] ------------ = -------- [12, 15, 12] [12, 12] denominator=, [12, 15, 14] [6, 7, 15] [6, 7] ------------ = -------- [12, 15, 14] [12, 14] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [13, 3, 1] [13, 1] denominator=, [13, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [13, 3, 2] [13, 2] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 5, 2] [1, 5, 5] [1, 5] ---------- = ------- [13, 5, 2] [13, 2] denominator=, [13, 5, 4] [3, 5, 5] [3, 5] ---------- = ------- [13, 5, 4] [13, 4] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 9, 8] [5, 1, 9] [5, 1] ---------- = ------- [13, 9, 8] [13, 8] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 10, 8] [3, 6, 10] [3, 6] ----------- = ------- [13, 10, 8] [13, 8] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 12, 8] [2, 4, 12] [2, 4] ----------- = ------- [13, 12, 8] [13, 8] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 14, 12] [4, 6, 14] [4, 6] ------------ = -------- [13, 14, 12] [13, 12] denominator=, [13, 15, 0] [13, 15] [13] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 2] [15, 15] [15] ----------- = ------- [13, 15, 2] [13, 2] denominator=, [13, 15, 8] [1, 11, 15] [1, 11] ----------- = ------- [13, 15, 8] [13, 8] denominator=, [13, 15, 9] [1, 15, 15] [1, 15] ----------- = ------- [13, 15, 9] [13, 9] denominator=, [13, 15, 12] [3, 7, 15] [3, 7] ------------ = -------- [13, 15, 12] [13, 12] denominator=, [13, 15, 14] [6, 15, 15] [6, 15] ------------ = -------- [13, 15, 14] [13, 14] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 5, 4] [3, 9, 5] [3, 9] ---------- = ------- [14, 5, 4] [14, 4] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [14, 6, 4] [14, 4] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 9, 8] [5, 7, 9] [5, 7] ---------- = ------- [14, 9, 8] [14, 8] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 10, 7] [2, 10, 10] [2, 10] ----------- = ------- [14, 10, 7] [14, 7] denominator=, [14, 10, 8] [3, 10, 10] [3, 10] ----------- = ------- [14, 10, 8] [14, 8] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 11, 10] [6, 3, 11] [6, 3] ------------ = -------- [14, 11, 10] [14, 10] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 15, 0] [14, 15] [14] ----------- = ------- [14, 15, 0] [14, 0] denominator=, [14, 15, 1] [15, 15] [15] ----------- = ------- [14, 15, 1] [14, 1] denominator=, [14, 15, 4] [1, 3, 15] [1, 3] ----------- = ------- [14, 15, 4] [14, 4] denominator=, [14, 15, 6] [1, 7, 15] [1, 7] ----------- = ------- [14, 15, 6] [14, 6] denominator=, [14, 15, 8] [1, 13, 15] [1, 13] ----------- = ------- [14, 15, 8] [14, 8] denominator=, [14, 15, 10] [2, 7, 15] [2, 7] ------------ = -------- [14, 15, 10] [14, 10] denominator=, [14, 15, 11] [2, 15, 15] [2, 15] ------------ = -------- [14, 15, 11] [14, 11] denominator=, [14, 15, 12] [3, 11, 15] [3, 11] ------------ = -------- [14, 15, 12] [14, 12] denominator=, [14, 15, 13] [4, 15, 15] [4, 15] ------------ = -------- [14, 15, 13] [14, 13] denominator=, [14, 15, 14] [7, 7, 15] [7, 7] ------------ = -------- [14, 15, 14] [14, 14] denominator=, [15, 1, 0] [15, 1] [15] ---------- = ------- [15, 1, 0] [15, 0] denominator=, [15, 2, 0] [15, 2] [15] ---------- = ------- [15, 2, 0] [15, 0] denominator=, [15, 3, 0] [15, 3] [15] ---------- = ------- [15, 3, 0] [15, 0] denominator=, [15, 4, 0] [15, 4] [15] ---------- = ------- [15, 4, 0] [15, 0] denominator=, [15, 5, 0] [15, 5] [15] ---------- = ------- [15, 5, 0] [15, 0] denominator=, [15, 5, 4] [3, 13, 5] [3, 13] ---------- = ------- [15, 5, 4] [15, 4] denominator=, [15, 6, 0] [15, 6] [15] ---------- = ------- [15, 6, 0] [15, 0] denominator=, [15, 6, 2] [1, 6, 6] [1, 6] ---------- = ------- [15, 6, 2] [15, 2] denominator=, [15, 6, 5] [4, 6, 6] [4, 6] ---------- = ------- [15, 6, 5] [15, 5] denominator=, [15, 7, 0] [15, 7] [15] ---------- = ------- [15, 7, 0] [15, 0] denominator=, [15, 8, 0] [15, 8] [15] ---------- = ------- [15, 8, 0] [15, 0] denominator=, [15, 9, 0] [15, 9] [15] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 9, 6] [2, 9, 9] [2, 9] ---------- = ------- [15, 9, 6] [15, 6] denominator=, [15, 9, 7] [3, 9, 9] [3, 9] ---------- = ------- [15, 9, 7] [15, 7] denominator=, [15, 9, 8] [5, 13, 9] [5, 13] ---------- = ------- [15, 9, 8] [15, 8] denominator=, [15, 10, 0] [15, 10] [15] ----------- = ------- [15, 10, 0] [15, 0] denominator=, [15, 10, 8] [3, 14, 10] [3, 14] ----------- = ------- [15, 10, 8] [15, 8] denominator=, [15, 11, 0] [15, 11] [15] ----------- = ------- [15, 11, 0] [15, 0] denominator=, [15, 12, 0] [15, 12] [15] ----------- = ------- [15, 12, 0] [15, 0] denominator=, [15, 13, 0] [15, 13] [15] ----------- = ------- [15, 13, 0] [15, 0] denominator=, [15, 13, 12] [7, 5, 13] [7, 5] ------------ = -------- [15, 13, 12] [15, 12] denominator=, [15, 14, 0] [15, 14] [15] ----------- = ------- [15, 14, 0] [15, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 8] [1, 15, 15] [1, 15] ----------- = ------- [15, 15, 8] [15, 8] denominator=, [15, 15, 12] [3, 15, 15] [3, 15] ------------ = -------- [15, 15, 12] [15, 12] denominator=, [15, 15, 14] [7, 15, 15] [7, 15] ------------ = -------- [15, 15, 14] [15, 14] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 5, 0] [5, 4] [4] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 9, 0] [9, 6] [6] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 10, 4] [10, 8] [8] ---------- = ------ [1, 10, 4] [1, 4] [2, 10, 0] [2, 0] ---------- = ------ [1, 10, 4] [1, 4] denominator=, [1, 12, 2] [12, 8] [8] ---------- = ------ [1, 12, 2] [1, 2] denominator=, [1, 12, 8] [4, 12, 0] [4, 0] ---------- = ------ [1, 12, 8] [1, 8] denominator=, [1, 15, 0] [15, 8] [8] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 2] [15, 9] [9] ---------- = ------ [1, 15, 2] [1, 2] denominator=, [1, 15, 4] [15, 10] [10] ---------- = ------ [1, 15, 4] [1, 4] denominator=, [1, 15, 6] [15, 11] [11] ---------- = ------ [1, 15, 6] [1, 6] [2, 15, 1] [2, 1] ---------- = ------ [1, 15, 6] [1, 6] denominator=, [1, 15, 8] [15, 12] [12] ---------- = ------ [1, 15, 8] [1, 8] [2, 15, 4] [2, 4] ---------- = ------ [1, 15, 8] [1, 8] denominator=, [1, 15, 10] [15, 13] [13] ----------- = ------- [1, 15, 10] [1, 10] [2, 15, 7] [2, 7] ----------- = ------- [1, 15, 10] [1, 10] [4, 15, 1] [4, 1] ----------- = ------- [1, 15, 10] [1, 10] denominator=, [1, 15, 12] [15, 14] [14] ----------- = ------- [1, 15, 12] [1, 12] [2, 15, 10] [2, 10] ----------- = ------- [1, 15, 12] [1, 12] [4, 15, 6] [4, 6] ----------- = ------- [1, 15, 12] [1, 12] [6, 15, 2] [6, 2] ----------- = ------- [1, 15, 12] [1, 12] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [8, 6, 5] [8, 5] --------- = ------ [2, 6, 6] [2, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] [2, 0, 6, 1] [2, 0, 1] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 0] [10, 8] [8] ---------- = ------ [2, 10, 0] [2, 0] [1, 10, 4] [1, 4] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 4] [10, 9] [9] ---------- = ------ [2, 10, 4] [2, 4] denominator=, [2, 10, 10] [6, 10, 9] [6, 9] ----------- = ------- [2, 10, 10] [2, 10] [14, 10, 7] [14, 7] ----------- = ------- [2, 10, 10] [2, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [2, 10, 10] [2, 10] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 3] [12, 10] [10] ---------- = ------ [2, 12, 3] [2, 3] denominator=, [2, 12, 12] [9, 12, 10] [9, 10] ----------- = ------- [2, 12, 12] [2, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] [2, 5, 12, 2] [2, 5, 2] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [2, 15, 1] [15, 11] [11] ---------- = ------ [2, 15, 1] [2, 1] [1, 15, 6] [1, 6] ---------- = ------ [2, 15, 1] [2, 1] denominator=, [2, 15, 4] [15, 12] [12] ---------- = ------ [2, 15, 4] [2, 4] [1, 15, 8] [1, 8] ---------- = ------ [2, 15, 4] [2, 4] [3, 15, 0] [3, 0] ---------- = ------ [2, 15, 4] [2, 4] denominator=, [2, 15, 7] [15, 13] [13] ---------- = ------ [2, 15, 7] [2, 7] [1, 15, 10] [1, 10] ----------- = ------- [2, 15, 7] [2, 7] [3, 15, 4] [3, 4] ---------- = ------ [2, 15, 7] [2, 7] [4, 15, 1] [4, 1] ---------- = ------ [2, 15, 7] [2, 7] denominator=, [2, 15, 10] [15, 14] [14] ----------- = ------- [2, 15, 10] [2, 10] [1, 15, 12] [1, 12] ----------- = ------- [2, 15, 10] [2, 10] [3, 15, 8] [3, 8] ----------- = ------- [2, 15, 10] [2, 10] [4, 15, 6] [4, 6] ----------- = ------- [2, 15, 10] [2, 10] [6, 15, 2] [6, 2] ----------- = ------- [2, 15, 10] [2, 10] [7, 15, 0] [7, 0] ----------- = ------- [2, 15, 10] [2, 10] denominator=, [3, 5, 4] [8, 5, 2] [8, 2] --------- = ------ [3, 5, 4] [3, 4] denominator=, [3, 9, 0] [9, 8] [8] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 8] [12, 9, 4] [12, 4] ---------- = ------- [3, 9, 8] [3, 8] denominator=, [3, 9, 9] [9, 9, 8] [9, 8] --------- = ------ [3, 9, 9] [3, 9] [15, 9, 7] [15, 7] ---------- = ------- [3, 9, 9] [3, 9] [1, 11, 9, 5] [1, 11, 5] ------------- = ---------- [3, 9, 9] [3, 9] [2, 1, 9, 4] [2, 1, 4] ------------ = --------- [3, 9, 9] [3, 9] [2, 13, 9, 2] [2, 13, 2] ------------- = ---------- [3, 9, 9] [3, 9] [3, 3, 9, 1] [3, 3, 1] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 15, 0] [15, 12] [12] ---------- = ------ [3, 15, 0] [3, 0] [1, 15, 8] [1, 8] ---------- = ------ [3, 15, 0] [3, 0] [2, 15, 4] [2, 4] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 2] [1, 15, 9] [1, 9] ---------- = ------ [3, 15, 2] [3, 2] denominator=, [3, 15, 4] [15, 13] [13] ---------- = ------ [3, 15, 4] [3, 4] [1, 15, 10] [1, 10] ----------- = ------- [3, 15, 4] [3, 4] [2, 15, 7] [2, 7] ---------- = ------ [3, 15, 4] [3, 4] [4, 15, 1] [4, 1] ---------- = ------ [3, 15, 4] [3, 4] denominator=, [3, 15, 6] [1, 15, 11] [1, 11] ----------- = ------- [3, 15, 6] [3, 6] [5, 15, 1] [5, 1] ---------- = ------ [3, 15, 6] [3, 6] denominator=, [3, 15, 8] [15, 14] [14] ---------- = ------ [3, 15, 8] [3, 8] [1, 15, 12] [1, 12] ----------- = ------- [3, 15, 8] [3, 8] [2, 15, 10] [2, 10] ----------- = ------- [3, 15, 8] [3, 8] [4, 15, 6] [4, 6] ---------- = ------ [3, 15, 8] [3, 8] [5, 15, 4] [5, 4] ---------- = ------ [3, 15, 8] [3, 8] [6, 15, 2] [6, 2] ---------- = ------ [3, 15, 8] [3, 8] denominator=, [3, 15, 10] [1, 15, 13] [1, 13] ----------- = ------- [3, 15, 10] [3, 10] [5, 15, 7] [5, 7] ----------- = ------- [3, 15, 10] [3, 10] [9, 15, 1] [9, 1] ----------- = ------- [3, 15, 10] [3, 10] denominator=, [3, 15, 14] [1, 15, 15] [1, 15] ----------- = ------- [3, 15, 14] [3, 14] [5, 15, 13] [5, 13] ----------- = ------- [3, 15, 14] [3, 14] [9, 15, 11] [9, 11] ----------- = ------- [3, 15, 14] [3, 14] [13, 15, 9] [13, 9] ----------- = ------- [3, 15, 14] [3, 14] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [3, 15, 14] [3, 14] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [3, 15, 14] [3, 14] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [3, 15, 14] [3, 14] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [3, 15, 14] [3, 14] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 3, 2] [11, 3, 0] [11, 0] ---------- = ------- [4, 3, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [15, 6, 5] [15, 5] ---------- = ------- [4, 6, 6] [4, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] [3, 11, 6, 1] [3, 11, 1] ------------- = ---------- [4, 6, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 8] [11, 10, 4] [11, 4] ----------- = ------- [4, 10, 8] [4, 8] denominator=, [4, 10, 10] [11, 10, 9] [11, 9] ----------- = ------- [4, 10, 10] [4, 10] [1, 9, 10, 7] [1, 9, 7] ------------- = --------- [4, 10, 10] [4, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] [3, 5, 10, 3] [3, 5, 3] ------------- = --------- [4, 10, 10] [4, 10] [4, 3, 10, 1] [4, 3, 1] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 12, 0] [1, 12, 8] [1, 8] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 2] [12, 11] [11] ---------- = ------ [4, 12, 2] [4, 2] denominator=, [4, 12, 10] [1, 0, 12, 3] [1, 0, 3] ------------- = --------- [4, 12, 10] [4, 10] denominator=, [4, 12, 11] [12, 12, 8] [12, 8] ----------- = ------- [4, 12, 11] [4, 11] [1, 4, 12, 5] [1, 4, 5] ------------- = --------- [4, 12, 11] [4, 11] denominator=, [4, 12, 12] [10, 12, 11] [10, 11] ------------ = -------- [4, 12, 12] [4, 12] [1, 0, 12, 10] [1, 0, 10] -------------- = ---------- [4, 12, 12] [4, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 2, 12, 7] [2, 2, 7] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [2, 14, 12, 5] [2, 14, 5] -------------- = ---------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] [4, 0, 12, 2] [4, 0, 2] ------------- = --------- [4, 12, 12] [4, 12] [4, 6, 12, 1] [4, 6, 1] ------------- = --------- [4, 12, 12] [4, 12] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [4, 15, 1] [15, 13] [13] ---------- = ------ [4, 15, 1] [4, 1] [1, 15, 10] [1, 10] ----------- = ------- [4, 15, 1] [4, 1] [2, 15, 7] [2, 7] ---------- = ------ [4, 15, 1] [4, 1] [3, 15, 4] [3, 4] ---------- = ------ [4, 15, 1] [4, 1] denominator=, [4, 15, 6] [15, 14] [14] ---------- = ------ [4, 15, 6] [4, 6] [1, 15, 12] [1, 12] ----------- = ------- [4, 15, 6] [4, 6] [2, 15, 10] [2, 10] ----------- = ------- [4, 15, 6] [4, 6] [3, 15, 8] [3, 8] ---------- = ------ [4, 15, 6] [4, 6] [5, 15, 4] [5, 4] ---------- = ------ [4, 15, 6] [4, 6] [6, 15, 2] [6, 2] ---------- = ------ [4, 15, 6] [4, 6] [7, 15, 0] [7, 0] ---------- = ------ [4, 15, 6] [4, 6] denominator=, [5, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 4] [5, 4] [9, 5, 3] [9, 3] --------- = ------ [5, 5, 4] [5, 4] [13, 5, 2] [13, 2] ---------- = ------- [5, 5, 4] [5, 4] [1, 1, 5, 1] [1, 1, 1] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 6, 4] [14, 6, 0] [14, 0] ---------- = ------- [5, 6, 4] [5, 4] denominator=, [5, 9, 8] [12, 9, 6] [12, 6] ---------- = ------- [5, 9, 8] [5, 8] [1, 3, 9, 4] [1, 3, 4] ------------ = --------- [5, 9, 8] [5, 8] [1, 10, 9, 2] [1, 10, 2] ------------- = ---------- [5, 9, 8] [5, 8] denominator=, [5, 13, 12] [1, 11, 13, 5] [1, 11, 5] -------------- = ---------- [5, 13, 12] [5, 12] denominator=, [5, 15, 0] [2, 15, 8] [2, 8] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 1] [1, 15, 11] [1, 11] ----------- = ------- [5, 15, 1] [5, 1] [3, 15, 6] [3, 6] ---------- = ------ [5, 15, 1] [5, 1] denominator=, [5, 15, 2] [2, 15, 9] [2, 9] ---------- = ------ [5, 15, 2] [5, 2] denominator=, [5, 15, 4] [15, 14] [14] ---------- = ------ [5, 15, 4] [5, 4] [1, 15, 12] [1, 12] ----------- = ------- [5, 15, 4] [5, 4] [2, 15, 10] [2, 10] ----------- = ------- [5, 15, 4] [5, 4] [3, 15, 8] [3, 8] ---------- = ------ [5, 15, 4] [5, 4] [4, 15, 6] [4, 6] ---------- = ------ [5, 15, 4] [5, 4] [6, 15, 2] [6, 2] ---------- = ------ [5, 15, 4] [5, 4] [7, 15, 0] [7, 0] ---------- = ------ [5, 15, 4] [5, 4] denominator=, [5, 15, 6] [2, 15, 11] [2, 11] ----------- = ------- [5, 15, 6] [5, 6] [8, 15, 1] [8, 1] ---------- = ------ [5, 15, 6] [5, 6] denominator=, [5, 15, 7] [1, 15, 13] [1, 13] ----------- = ------- [5, 15, 7] [5, 7] [3, 15, 10] [3, 10] ----------- = ------- [5, 15, 7] [5, 7] [7, 15, 4] [7, 4] ---------- = ------ [5, 15, 7] [5, 7] [9, 15, 1] [9, 1] ---------- = ------ [5, 15, 7] [5, 7] denominator=, [5, 15, 8] [2, 15, 12] [2, 12] ----------- = ------- [5, 15, 8] [5, 8] [8, 15, 4] [8, 4] ---------- = ------ [5, 15, 8] [5, 8] denominator=, [5, 15, 12] [2, 15, 14] [2, 14] ----------- = ------- [5, 15, 12] [5, 12] [8, 15, 10] [8, 10] ----------- = ------- [5, 15, 12] [5, 12] [14, 15, 6] [14, 6] ----------- = ------- [5, 15, 12] [5, 12] [1, 4, 15, 2] [1, 4, 2] ------------- = --------- [5, 15, 12] [5, 12] denominator=, [5, 15, 13] [1, 15, 15] [1, 15] ----------- = ------- [5, 15, 13] [5, 13] [3, 15, 14] [3, 14] ----------- = ------- [5, 15, 13] [5, 13] [7, 15, 12] [7, 12] ----------- = ------- [5, 15, 13] [5, 13] [9, 15, 11] [9, 11] ----------- = ------- [5, 15, 13] [5, 13] [13, 15, 9] [13, 9] ----------- = ------- [5, 15, 13] [5, 13] [15, 15, 8] [15, 8] ----------- = ------- [5, 15, 13] [5, 13] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [5, 15, 13] [5, 13] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [5, 15, 13] [5, 13] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [5, 15, 13] [5, 13] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [5, 15, 13] [5, 13] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [5, 15, 13] [5, 13] denominator=, [5, 15, 14] [2, 15, 15] [2, 15] ----------- = ------- [5, 15, 14] [5, 14] [8, 15, 13] [8, 13] ----------- = ------- [5, 15, 14] [5, 14] [14, 15, 11] [14, 11] ------------ = -------- [5, 15, 14] [5, 14] [1, 4, 15, 9] [1, 4, 9] ------------- = --------- [5, 15, 14] [5, 14] [1, 10, 15, 7] [1, 10, 7] -------------- = ---------- [5, 15, 14] [5, 14] [2, 0, 15, 5] [2, 0, 5] ------------- = --------- [5, 15, 14] [5, 14] [2, 6, 15, 3] [2, 6, 3] ------------- = --------- [5, 15, 14] [5, 14] [2, 12, 15, 1] [2, 12, 1] -------------- = ---------- [5, 15, 14] [5, 14] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 4] [14, 6, 1] [14, 1] ---------- = ------- [6, 6, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 6] [1, 1, 9, 0] [1, 1, 0] ------------ = --------- [6, 9, 6] [6, 6] denominator=, [6, 9, 9] [1, 1, 9, 8] [1, 1, 8] ------------ = --------- [6, 9, 9] [6, 9] [1, 12, 9, 7] [1, 12, 7] ------------- = ---------- [6, 9, 9] [6, 9] [3, 2, 9, 5] [3, 2, 5] ------------ = --------- [6, 9, 9] [6, 9] [3, 13, 9, 4] [3, 13, 4] ------------- = ---------- [6, 9, 9] [6, 9] [5, 3, 9, 2] [5, 3, 2] ------------ = --------- [6, 9, 9] [6, 9] [5, 14, 9, 1] [5, 14, 1] ------------- = ---------- [6, 9, 9] [6, 9] denominator=, [6, 10, 0] [1, 10, 8] [1, 8] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 8] [1, 10, 10] [1, 10] ----------- = ------- [6, 10, 8] [6, 8] [11, 10, 6] [11, 6] ----------- = ------- [6, 10, 8] [6, 8] [1, 0, 10, 4] [1, 0, 4] ------------- = --------- [6, 10, 8] [6, 8] [1, 5, 10, 2] [1, 5, 2] ------------- = --------- [6, 10, 8] [6, 8] denominator=, [6, 10, 9] [2, 10, 10] [2, 10] ----------- = ------- [6, 10, 9] [6, 9] [10, 10, 8] [10, 8] ----------- = ------- [6, 10, 9] [6, 9] [14, 10, 7] [14, 7] ----------- = ------- [6, 10, 9] [6, 9] [1, 2, 10, 6] [1, 2, 6] ------------- = --------- [6, 10, 9] [6, 9] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [6, 10, 9] [6, 9] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [6, 10, 9] [6, 9] [2, 2, 10, 2] [2, 2, 2] ------------- = --------- [6, 10, 9] [6, 9] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [6, 10, 9] [6, 9] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [6, 10, 9] [6, 9] denominator=, [6, 10, 10] [1, 0, 10, 9] [1, 0, 9] ------------- = --------- [6, 10, 10] [6, 10] [2, 4, 10, 7] [2, 4, 7] ------------- = --------- [6, 10, 10] [6, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] [4, 12, 10, 3] [4, 12, 3] -------------- = ---------- [6, 10, 10] [6, 10] [6, 0, 10, 1] [6, 0, 1] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 10] [1, 7, 12, 3] [1, 7, 3] ------------- = --------- [6, 12, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 14, 12] [2, 0, 14, 1] [2, 0, 1] ------------- = --------- [6, 14, 12] [6, 12] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 2] [15, 14] [14] ---------- = ------ [6, 15, 2] [6, 2] [1, 15, 12] [1, 12] ----------- = ------- [6, 15, 2] [6, 2] [2, 15, 10] [2, 10] ----------- = ------- [6, 15, 2] [6, 2] [3, 15, 8] [3, 8] ---------- = ------ [6, 15, 2] [6, 2] [4, 15, 6] [4, 6] ---------- = ------ [6, 15, 2] [6, 2] [5, 15, 4] [5, 4] ---------- = ------ [6, 15, 2] [6, 2] [7, 15, 0] [7, 0] ---------- = ------ [6, 15, 2] [6, 2] denominator=, [7, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [7, 3, 2] [7, 2] [13, 3, 1] [13, 1] ---------- = ------- [7, 3, 2] [7, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [7, 3, 2] [7, 2] denominator=, [7, 5, 4] [1, 2, 5, 2] [1, 2, 2] ------------ = --------- [7, 5, 4] [7, 4] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 9, 8] [1, 10, 9, 4] [1, 10, 4] ------------- = ---------- [7, 9, 8] [7, 8] denominator=, [7, 12, 8] [1, 4, 12, 0] [1, 4, 0] ------------- = --------- [7, 12, 8] [7, 8] denominator=, [7, 12, 11] [1, 4, 12, 8] [1, 4, 8] ------------- = --------- [7, 12, 11] [7, 11] [2, 1, 12, 5] [2, 1, 5] ------------- = --------- [7, 12, 11] [7, 11] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [7, 15, 0] [15, 14] [14] ---------- = ------ [7, 15, 0] [7, 0] [1, 15, 12] [1, 12] ----------- = ------- [7, 15, 0] [7, 0] [2, 15, 10] [2, 10] ----------- = ------- [7, 15, 0] [7, 0] [3, 15, 8] [3, 8] ---------- = ------ [7, 15, 0] [7, 0] [4, 15, 6] [4, 6] ---------- = ------ [7, 15, 0] [7, 0] [5, 15, 4] [5, 4] ---------- = ------ [7, 15, 0] [7, 0] [6, 15, 2] [6, 2] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 2] [3, 15, 9] [3, 9] ---------- = ------ [7, 15, 2] [7, 2] denominator=, [7, 15, 4] [1, 15, 13] [1, 13] ----------- = ------- [7, 15, 4] [7, 4] [3, 15, 10] [3, 10] ----------- = ------- [7, 15, 4] [7, 4] [5, 15, 7] [5, 7] ---------- = ------ [7, 15, 4] [7, 4] [9, 15, 1] [9, 1] ---------- = ------ [7, 15, 4] [7, 4] denominator=, [7, 15, 6] [3, 15, 11] [3, 11] ----------- = ------- [7, 15, 6] [7, 6] [11, 15, 1] [11, 1] ----------- = ------- [7, 15, 6] [7, 6] denominator=, [7, 15, 10] [3, 15, 13] [3, 13] ----------- = ------- [7, 15, 10] [7, 10] [11, 15, 7] [11, 7] ----------- = ------- [7, 15, 10] [7, 10] [1, 3, 15, 1] [1, 3, 1] ------------- = --------- [7, 15, 10] [7, 10] denominator=, [7, 15, 12] [1, 15, 15] [1, 15] ----------- = ------- [7, 15, 12] [7, 12] [3, 15, 14] [3, 14] ----------- = ------- [7, 15, 12] [7, 12] [5, 15, 13] [5, 13] ----------- = ------- [7, 15, 12] [7, 12] [9, 15, 11] [9, 11] ----------- = ------- [7, 15, 12] [7, 12] [11, 15, 10] [11, 10] ------------ = -------- [7, 15, 12] [7, 12] [13, 15, 9] [13, 9] ----------- = ------- [7, 15, 12] [7, 12] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [7, 15, 12] [7, 12] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [7, 15, 12] [7, 12] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [7, 15, 12] [7, 12] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [7, 15, 12] [7, 12] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [7, 15, 12] [7, 12] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [7, 15, 12] [7, 12] denominator=, [7, 15, 14] [3, 15, 15] [3, 15] ----------- = ------- [7, 15, 14] [7, 14] [11, 15, 13] [11, 13] ------------ = -------- [7, 15, 14] [7, 14] [1, 3, 15, 11] [1, 3, 11] -------------- = ---------- [7, 15, 14] [7, 14] [1, 11, 15, 9] [1, 11, 9] -------------- = ---------- [7, 15, 14] [7, 14] [2, 3, 15, 7] [2, 3, 7] ------------- = --------- [7, 15, 14] [7, 14] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [7, 15, 14] [7, 14] [3, 3, 15, 3] [3, 3, 3] ------------- = --------- [7, 15, 14] [7, 14] [3, 11, 15, 1] [3, 11, 1] -------------- = ---------- [7, 15, 14] [7, 14] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 5, 2] [3, 5, 4] [3, 4] --------- = ------ [8, 5, 2] [8, 2] [13, 5, 0] [13, 0] ---------- = ------- [8, 5, 2] [8, 2] denominator=, [8, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [8, 6, 4] [8, 4] [15, 6, 2] [15, 2] ---------- = ------- [8, 6, 4] [8, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [8, 6, 4] [8, 4] denominator=, [8, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [8, 6, 5] [8, 5] [14, 6, 4] [14, 4] ---------- = ------- [8, 6, 5] [8, 5] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [8, 6, 5] [8, 5] [1, 10, 6, 2] [1, 10, 2] ------------- = ---------- [8, 6, 5] [8, 5] [2, 0, 6, 1] [2, 0, 1] ------------ = --------- [8, 6, 5] [8, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [8, 6, 5] [8, 5] denominator=, [8, 6, 6] [1, 13, 6, 5] [1, 13, 5] ------------- = ---------- [8, 6, 6] [8, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] [7, 1, 6, 1] [7, 1, 1] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 8] [1, 5, 10, 4] [1, 5, 4] ------------- = --------- [8, 10, 8] [8, 8] denominator=, [8, 10, 10] [1, 5, 10, 9] [1, 5, 9] ------------- = --------- [8, 10, 10] [8, 10] [2, 15, 10, 7] [2, 15, 7] -------------- = ---------- [8, 10, 10] [8, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] [6, 3, 10, 3] [6, 3, 3] ------------- = --------- [8, 10, 10] [8, 10] [7, 13, 10, 1] [7, 13, 1] -------------- = ---------- [8, 10, 10] [8, 10] denominator=, [8, 12, 8] [1, 3, 12, 2] [1, 3, 2] ------------- = --------- [8, 12, 8] [8, 8] denominator=, [8, 12, 10] [1, 14, 12, 3] [1, 14, 3] -------------- = ---------- [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [1, 3, 12, 11] [1, 3, 11] -------------- = ---------- [8, 12, 12] [8, 12] [1, 14, 12, 10] [1, 14, 10] --------------- = ----------- [8, 12, 12] [8, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [3, 15, 12, 7] [3, 15, 7] -------------- = ---------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [5, 5, 12, 5] [5, 5, 5] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] [7, 6, 12, 2] [7, 6, 2] ------------- = --------- [8, 12, 12] [8, 12] [8, 1, 12, 1] [8, 1, 1] ------------- = --------- [8, 12, 12] [8, 12] denominator=, [8, 13, 12] [1, 11, 13, 8] [1, 11, 8] -------------- = ---------- [8, 13, 12] [8, 12] [2, 14, 13, 4] [2, 14, 4] -------------- = ---------- [8, 13, 12] [8, 12] [4, 1, 13, 0] [4, 1, 0] ------------- = --------- [8, 13, 12] [8, 12] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 15, 1] [2, 15, 11] [2, 11] ----------- = ------- [8, 15, 1] [8, 1] [5, 15, 6] [5, 6] ---------- = ------ [8, 15, 1] [8, 1] denominator=, [8, 15, 4] [2, 15, 12] [2, 12] ----------- = ------- [8, 15, 4] [8, 4] [5, 15, 8] [5, 8] ---------- = ------ [8, 15, 4] [8, 4] [11, 15, 0] [11, 0] ----------- = ------- [8, 15, 4] [8, 4] denominator=, [8, 15, 10] [2, 15, 14] [2, 14] ----------- = ------- [8, 15, 10] [8, 10] [5, 15, 12] [5, 12] ----------- = ------- [8, 15, 10] [8, 10] [11, 15, 8] [11, 8] ----------- = ------- [8, 15, 10] [8, 10] [14, 15, 6] [14, 6] ----------- = ------- [8, 15, 10] [8, 10] [1, 4, 15, 2] [1, 4, 2] ------------- = --------- [8, 15, 10] [8, 10] [1, 7, 15, 0] [1, 7, 0] ------------- = --------- [8, 15, 10] [8, 10] denominator=, [8, 15, 13] [2, 15, 15] [2, 15] ----------- = ------- [8, 15, 13] [8, 13] [5, 15, 14] [5, 14] ----------- = ------- [8, 15, 13] [8, 13] [11, 15, 12] [11, 12] ------------ = -------- [8, 15, 13] [8, 13] [14, 15, 11] [14, 11] ------------ = -------- [8, 15, 13] [8, 13] [1, 4, 15, 9] [1, 4, 9] ------------- = --------- [8, 15, 13] [8, 13] [1, 7, 15, 8] [1, 7, 8] ------------- = --------- [8, 15, 13] [8, 13] [1, 13, 15, 6] [1, 13, 6] -------------- = ---------- [8, 15, 13] [8, 13] [2, 0, 15, 5] [2, 0, 5] ------------- = --------- [8, 15, 13] [8, 13] [2, 6, 15, 3] [2, 6, 3] ------------- = --------- [8, 15, 13] [8, 13] [2, 9, 15, 2] [2, 9, 2] ------------- = --------- [8, 15, 13] [8, 13] [2, 15, 15, 0] [2, 15, 0] -------------- = ---------- [8, 15, 13] [8, 13] denominator=, [9, 5, 0] [2, 5, 4] [2, 4] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 5, 3] [1, 5, 5] [1, 5] --------- = ------ [9, 5, 3] [9, 3] [5, 5, 4] [5, 4] --------- = ------ [9, 5, 3] [9, 3] [13, 5, 2] [13, 2] ---------- = ------- [9, 5, 3] [9, 3] [1, 1, 5, 1] [1, 1, 1] ------------ = --------- [9, 5, 3] [9, 3] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [9, 5, 3] [9, 3] denominator=, [9, 5, 4] [2, 5, 5] [2, 5] --------- = ------ [9, 5, 4] [9, 4] [1, 0, 5, 3] [1, 0, 3] ------------ = --------- [9, 5, 4] [9, 4] [1, 7, 5, 2] [1, 7, 2] ------------ = --------- [9, 5, 4] [9, 4] [1, 14, 5, 1] [1, 14, 1] ------------- = ---------- [9, 5, 4] [9, 4] denominator=, [9, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [9, 9, 6] [9, 6] [1, 1, 9, 3] [1, 1, 3] ------------ = --------- [9, 9, 6] [9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [9, 9, 6] [9, 6] denominator=, [9, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [9, 9, 8] [9, 8] [15, 9, 7] [15, 7] ---------- = ------- [9, 9, 8] [9, 8] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [9, 9, 8] [9, 8] [1, 11, 9, 5] [1, 11, 5] ------------- = ---------- [9, 9, 8] [9, 8] [2, 1, 9, 4] [2, 1, 4] ------------ = --------- [9, 9, 8] [9, 8] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [9, 9, 8] [9, 8] [2, 13, 9, 2] [2, 13, 2] ------------- = ---------- [9, 9, 8] [9, 8] [3, 3, 9, 1] [3, 3, 1] ------------ = --------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 12, 10] [2, 12, 12] [2, 12] ----------- = ------- [9, 12, 10] [9, 10] [1, 0, 12, 8] [1, 0, 8] ------------- = --------- [9, 12, 10] [9, 10] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [9, 12, 10] [9, 10] [1, 14, 12, 4] [1, 14, 4] -------------- = ---------- [9, 12, 10] [9, 10] [2, 5, 12, 2] [2, 5, 2] ------------- = --------- [9, 12, 10] [9, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [9, 12, 10] [9, 10] denominator=, [9, 13, 12] [2, 14, 13, 5] [2, 14, 5] -------------- = ---------- [9, 13, 12] [9, 12] denominator=, [9, 15, 0] [4, 15, 8] [4, 8] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 1] [1, 15, 13] [1, 13] ----------- = ------- [9, 15, 1] [9, 1] [3, 15, 10] [3, 10] ----------- = ------- [9, 15, 1] [9, 1] [5, 15, 7] [5, 7] ---------- = ------ [9, 15, 1] [9, 1] [7, 15, 4] [7, 4] ---------- = ------ [9, 15, 1] [9, 1] denominator=, [9, 15, 2] [4, 15, 9] [4, 9] ---------- = ------ [9, 15, 2] [9, 2] denominator=, [9, 15, 4] [4, 15, 10] [4, 10] ----------- = ------- [9, 15, 4] [9, 4] denominator=, [9, 15, 8] [4, 15, 12] [4, 12] ----------- = ------- [9, 15, 8] [9, 8] [14, 15, 4] [14, 4] ----------- = ------- [9, 15, 8] [9, 8] denominator=, [9, 15, 10] [4, 15, 13] [4, 13] ----------- = ------- [9, 15, 10] [9, 10] [14, 15, 7] [14, 7] ----------- = ------- [9, 15, 10] [9, 10] [1, 8, 15, 1] [1, 8, 1] ------------- = --------- [9, 15, 10] [9, 10] denominator=, [9, 15, 11] [1, 15, 15] [1, 15] ----------- = ------- [9, 15, 11] [9, 11] [3, 15, 14] [3, 14] ----------- = ------- [9, 15, 11] [9, 11] [5, 15, 13] [5, 13] ----------- = ------- [9, 15, 11] [9, 11] [7, 15, 12] [7, 12] ----------- = ------- [9, 15, 11] [9, 11] [11, 15, 10] [11, 10] ------------ = -------- [9, 15, 11] [9, 11] [13, 15, 9] [13, 9] ----------- = ------- [9, 15, 11] [9, 11] [15, 15, 8] [15, 8] ----------- = ------- [9, 15, 11] [9, 11] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [9, 15, 11] [9, 11] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [9, 15, 11] [9, 11] [1, 7, 15, 4] [1, 7, 4] ------------- = --------- [9, 15, 11] [9, 11] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [9, 15, 11] [9, 11] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [9, 15, 11] [9, 11] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [9, 15, 11] [9, 11] denominator=, [9, 15, 12] [4, 15, 14] [4, 14] ----------- = ------- [9, 15, 12] [9, 12] [14, 15, 10] [14, 10] ------------ = -------- [9, 15, 12] [9, 12] [1, 8, 15, 6] [1, 8, 6] ------------- = --------- [9, 15, 12] [9, 12] [2, 2, 15, 2] [2, 2, 2] ------------- = --------- [9, 15, 12] [9, 12] denominator=, [9, 15, 14] [4, 15, 15] [4, 15] ----------- = ------- [9, 15, 14] [9, 14] [14, 15, 13] [14, 13] ------------ = -------- [9, 15, 14] [9, 14] [1, 8, 15, 11] [1, 8, 11] -------------- = ---------- [9, 15, 14] [9, 14] [2, 2, 15, 9] [2, 2, 9] ------------- = --------- [9, 15, 14] [9, 14] [2, 12, 15, 7] [2, 12, 7] -------------- = ---------- [9, 15, 14] [9, 14] [3, 6, 15, 5] [3, 6, 5] ------------- = --------- [9, 15, 14] [9, 14] [4, 0, 15, 3] [4, 0, 3] ------------- = --------- [9, 15, 14] [9, 14] [4, 10, 15, 1] [4, 10, 1] -------------- = ---------- [9, 15, 14] [9, 14] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 3, 2] [1, 11, 3, 0] [1, 11, 0] ------------- = ---------- [10, 3, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 6, 4] [1, 7, 6, 1] [1, 7, 1] ------------ = --------- [10, 6, 4] [10, 4] denominator=, [10, 6, 6] [2, 4, 6, 5] [2, 4, 5] ------------ = --------- [10, 6, 6] [10, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] [8, 12, 6, 1] [8, 12, 1] ------------- = ---------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 4] [2, 10, 9] [2, 9] ----------- = ------- [10, 10, 4] [10, 4] denominator=, [10, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [10, 10, 8] [10, 8] [6, 10, 9] [6, 9] ----------- = ------- [10, 10, 8] [10, 8] [14, 10, 7] [14, 7] ----------- = ------- [10, 10, 8] [10, 8] [1, 2, 10, 6] [1, 2, 6] ------------- = --------- [10, 10, 8] [10, 8] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [10, 10, 8] [10, 8] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [10, 10, 8] [10, 8] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [10, 10, 8] [10, 8] [2, 2, 10, 2] [2, 2, 2] ------------- = --------- [10, 10, 8] [10, 8] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [10, 10, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 11, 8] [2, 1, 11, 0] [2, 1, 0] ------------- = --------- [10, 11, 8] [10, 8] denominator=, [10, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [10, 12, 8] [10, 8] [1, 3, 12, 4] [1, 3, 4] ------------- = --------- [10, 12, 8] [10, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [10, 12, 8] [10, 8] denominator=, [10, 12, 10] [2, 5, 12, 3] [2, 5, 3] ------------- = --------- [10, 12, 10] [10, 10] denominator=, [10, 12, 11] [4, 12, 12] [4, 12] ------------ = -------- [10, 12, 11] [10, 11] [1, 0, 12, 10] [1, 0, 10] -------------- = ---------- [10, 12, 11] [10, 11] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [10, 12, 11] [10, 11] [1, 12, 12, 8] [1, 12, 8] -------------- = ---------- [10, 12, 11] [10, 11] [2, 2, 12, 7] [2, 2, 7] ------------- = --------- [10, 12, 11] [10, 11] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [10, 12, 11] [10, 11] [2, 14, 12, 5] [2, 14, 5] -------------- = ---------- [10, 12, 11] [10, 11] [3, 4, 12, 4] [3, 4, 4] ------------- = --------- [10, 12, 11] [10, 11] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [10, 12, 11] [10, 11] [4, 6, 12, 1] [4, 6, 1] ------------- = --------- [10, 12, 11] [10, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [10, 12, 11] [10, 11] denominator=, [10, 12, 12] [2, 5, 12, 10] [2, 5, 10] -------------- = ---------- [10, 12, 12] [10, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] [9, 1, 12, 2] [9, 1, 2] ------------- = --------- [10, 12, 12] [10, 12] denominator=, [10, 14, 12] [3, 3, 14, 1] [3, 3, 1] ------------- = --------- [10, 14, 12] [10, 12] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [11, 3, 0] [4, 3, 2] [4, 2] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 5, 4] [1, 12, 5, 2] [1, 12, 2] ------------- = ---------- [11, 5, 4] [11, 4] denominator=, [11, 6, 4] [1, 14, 6, 0] [1, 14, 0] ------------- = ---------- [11, 6, 4] [11, 4] denominator=, [11, 9, 8] [2, 8, 9, 4] [2, 8, 4] ------------ = --------- [11, 9, 8] [11, 8] denominator=, [11, 10, 4] [4, 10, 8] [4, 8] ----------- = ------- [11, 10, 4] [11, 4] [1, 2, 10, 0] [1, 2, 0] ------------- = --------- [11, 10, 4] [11, 4] denominator=, [11, 10, 6] [1, 10, 10] [1, 10] ----------- = ------- [11, 10, 6] [11, 6] [6, 10, 8] [6, 8] ----------- = ------- [11, 10, 6] [11, 6] [1, 0, 10, 4] [1, 0, 4] ------------- = --------- [11, 10, 6] [11, 6] [1, 5, 10, 2] [1, 5, 2] ------------- = --------- [11, 10, 6] [11, 6] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [11, 10, 6] [11, 6] denominator=, [11, 10, 9] [4, 10, 10] [4, 10] ----------- = ------- [11, 10, 9] [11, 9] [1, 2, 10, 8] [1, 2, 8] ------------- = --------- [11, 10, 9] [11, 9] [1, 9, 10, 7] [1, 9, 7] ------------- = --------- [11, 10, 9] [11, 9] [2, 0, 10, 6] [2, 0, 6] ------------- = --------- [11, 10, 9] [11, 9] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [11, 10, 9] [11, 9] [3, 5, 10, 3] [3, 5, 3] ------------- = --------- [11, 10, 9] [11, 9] [3, 12, 10, 2] [3, 12, 2] -------------- = ---------- [11, 10, 9] [11, 9] [4, 3, 10, 1] [4, 3, 1] ------------- = --------- [11, 10, 9] [11, 9] [4, 10, 10, 0] [4, 10, 0] -------------- = ---------- [11, 10, 9] [11, 9] denominator=, [11, 11, 8] [2, 1, 11, 1] [2, 1, 1] ------------- = --------- [11, 11, 8] [11, 8] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 15, 0] [2, 15, 12] [2, 12] ----------- = ------- [11, 15, 0] [11, 0] [5, 15, 8] [5, 8] ----------- = ------- [11, 15, 0] [11, 0] [8, 15, 4] [8, 4] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 1] [3, 15, 11] [3, 11] ----------- = ------- [11, 15, 1] [11, 1] [7, 15, 6] [7, 6] ----------- = ------- [11, 15, 1] [11, 1] denominator=, [11, 15, 2] [5, 15, 9] [5, 9] ----------- = ------- [11, 15, 2] [11, 2] denominator=, [11, 15, 6] [5, 15, 11] [5, 11] ----------- = ------- [11, 15, 6] [11, 6] [1, 1, 15, 1] [1, 1, 1] ------------- = --------- [11, 15, 6] [11, 6] denominator=, [11, 15, 7] [3, 15, 13] [3, 13] ----------- = ------- [11, 15, 7] [11, 7] [7, 15, 10] [7, 10] ----------- = ------- [11, 15, 7] [11, 7] [15, 15, 4] [15, 4] ----------- = ------- [11, 15, 7] [11, 7] [1, 3, 15, 1] [1, 3, 1] ------------- = --------- [11, 15, 7] [11, 7] denominator=, [11, 15, 8] [2, 15, 14] [2, 14] ----------- = ------- [11, 15, 8] [11, 8] [5, 15, 12] [5, 12] ----------- = ------- [11, 15, 8] [11, 8] [8, 15, 10] [8, 10] ----------- = ------- [11, 15, 8] [11, 8] [14, 15, 6] [14, 6] ----------- = ------- [11, 15, 8] [11, 8] [1, 1, 15, 4] [1, 1, 4] ------------- = --------- [11, 15, 8] [11, 8] [1, 4, 15, 2] [1, 4, 2] ------------- = --------- [11, 15, 8] [11, 8] denominator=, [11, 15, 10] [1, 15, 15] [1, 15] ------------ = -------- [11, 15, 10] [11, 10] [3, 15, 14] [3, 14] ------------ = -------- [11, 15, 10] [11, 10] [5, 15, 13] [5, 13] ------------ = -------- [11, 15, 10] [11, 10] [7, 15, 12] [7, 12] ------------ = -------- [11, 15, 10] [11, 10] [9, 15, 11] [9, 11] ------------ = -------- [11, 15, 10] [11, 10] [13, 15, 9] [13, 9] ------------ = -------- [11, 15, 10] [11, 10] [15, 15, 8] [15, 8] ------------ = -------- [11, 15, 10] [11, 10] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [11, 15, 10] [11, 10] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [11, 15, 10] [11, 10] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [11, 15, 10] [11, 10] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [11, 15, 10] [11, 10] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [11, 15, 10] [11, 10] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [11, 15, 10] [11, 10] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [11, 15, 10] [11, 10] denominator=, [11, 15, 12] [2, 15, 15] [2, 15] ------------ = -------- [11, 15, 12] [11, 12] [5, 15, 14] [5, 14] ------------ = -------- [11, 15, 12] [11, 12] [8, 15, 13] [8, 13] ------------ = -------- [11, 15, 12] [11, 12] [14, 15, 11] [14, 11] ------------ = -------- [11, 15, 12] [11, 12] [1, 1, 15, 10] [1, 1, 10] -------------- = ---------- [11, 15, 12] [11, 12] [1, 4, 15, 9] [1, 4, 9] ------------- = --------- [11, 15, 12] [11, 12] [1, 10, 15, 7] [1, 10, 7] -------------- = ---------- [11, 15, 12] [11, 12] [1, 13, 15, 6] [1, 13, 6] -------------- = ---------- [11, 15, 12] [11, 12] [2, 0, 15, 5] [2, 0, 5] ------------- = --------- [11, 15, 12] [11, 12] [2, 6, 15, 3] [2, 6, 3] ------------- = --------- [11, 15, 12] [11, 12] [2, 9, 15, 2] [2, 9, 2] ------------- = --------- [11, 15, 12] [11, 12] [2, 12, 15, 1] [2, 12, 1] -------------- = ---------- [11, 15, 12] [11, 12] denominator=, [11, 15, 13] [3, 15, 15] [3, 15] ------------ = -------- [11, 15, 13] [11, 13] [7, 15, 14] [7, 14] ------------ = -------- [11, 15, 13] [11, 13] [15, 15, 12] [15, 12] ------------ = -------- [11, 15, 13] [11, 13] [1, 3, 15, 11] [1, 3, 11] -------------- = ---------- [11, 15, 13] [11, 13] [1, 11, 15, 9] [1, 11, 9] -------------- = ---------- [11, 15, 13] [11, 13] [1, 15, 15, 8] [1, 15, 8] -------------- = ---------- [11, 15, 13] [11, 13] [2, 7, 15, 6] [2, 7, 6] ------------- = --------- [11, 15, 13] [11, 13] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [11, 15, 13] [11, 13] [3, 3, 15, 3] [3, 3, 3] ------------- = --------- [11, 15, 13] [11, 13] [3, 7, 15, 2] [3, 7, 2] ------------- = --------- [11, 15, 13] [11, 13] [3, 15, 15, 0] [3, 15, 0] -------------- = ---------- [11, 15, 13] [11, 13] denominator=, [11, 15, 14] [5, 15, 15] [5, 15] ------------ = -------- [11, 15, 14] [11, 14] [1, 1, 15, 13] [1, 1, 13] -------------- = ---------- [11, 15, 14] [11, 14] [1, 13, 15, 11] [1, 13, 11] --------------- = ----------- [11, 15, 14] [11, 14] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [11, 15, 14] [11, 14] [3, 5, 15, 7] [3, 5, 7] ------------- = --------- [11, 15, 14] [11, 14] [4, 1, 15, 5] [4, 1, 5] ------------- = --------- [11, 15, 14] [11, 14] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [11, 15, 14] [11, 14] [5, 9, 15, 1] [5, 9, 1] ------------- = --------- [11, 15, 14] [11, 14] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 7, 6] [1, 13, 7, 4] [1, 13, 4] ------------- = ---------- [12, 7, 6] [12, 6] [2, 14, 7, 2] [2, 14, 2] ------------- = ---------- [12, 7, 6] [12, 6] [3, 15, 7, 0] [3, 15, 0] ------------- = ---------- [12, 7, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 4] [3, 9, 8] [3, 8] ---------- = ------- [12, 9, 4] [12, 4] [1, 5, 9, 0] [1, 5, 0] ------------ = --------- [12, 9, 4] [12, 4] denominator=, [12, 9, 6] [5, 9, 8] [5, 8] ---------- = ------- [12, 9, 6] [12, 6] [1, 3, 9, 4] [1, 3, 4] ------------ = --------- [12, 9, 6] [12, 6] [1, 10, 9, 2] [1, 10, 2] ------------- = ---------- [12, 9, 6] [12, 6] [2, 1, 9, 0] [2, 1, 0] ------------ = --------- [12, 9, 6] [12, 6] denominator=, [12, 9, 9] [2, 1, 9, 8] [2, 1, 8] ------------ = --------- [12, 9, 9] [12, 9] [3, 6, 9, 7] [3, 6, 7] ------------ = --------- [12, 9, 9] [12, 9] [6, 0, 9, 5] [6, 0, 5] ------------ = --------- [12, 9, 9] [12, 9] [7, 5, 9, 4] [7, 5, 4] ------------ = --------- [12, 9, 9] [12, 9] [9, 15, 9, 2] [9, 15, 2] ------------- = ---------- [12, 9, 9] [12, 9] [11, 4, 9, 1] [11, 4, 1] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 8] [1, 15, 10, 4] [1, 15, 4] -------------- = ---------- [12, 10, 8] [12, 8] denominator=, [12, 10, 10] [1, 15, 10, 9] [1, 15, 9] -------------- = ---------- [12, 10, 10] [12, 10] [4, 5, 10, 7] [4, 5, 7] ------------- = --------- [12, 10, 10] [12, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] [9, 1, 10, 3] [9, 1, 3] ------------- = --------- [12, 10, 10] [12, 10] [11, 7, 10, 1] [11, 7, 1] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 8] [4, 12, 11] [4, 11] ----------- = ------- [12, 12, 8] [12, 8] [1, 4, 12, 5] [1, 4, 5] ------------- = --------- [12, 12, 8] [12, 8] [1, 12, 12, 2] [1, 12, 2] -------------- = ---------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [2, 12, 12, 3] [2, 12, 3] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [13, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [13, 3, 1] [13, 1] [7, 3, 2] [7, 2] ---------- = ------- [13, 3, 1] [13, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [13, 3, 1] [13, 1] denominator=, [13, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [13, 3, 2] [13, 2] [1, 8, 3, 1] [1, 8, 1] ------------ = --------- [13, 3, 2] [13, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [13, 3, 2] [13, 2] denominator=, [13, 5, 0] [3, 5, 4] [3, 4] ---------- = ------- [13, 5, 0] [13, 0] [8, 5, 2] [8, 2] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 5, 2] [1, 5, 5] [1, 5] ---------- = ------- [13, 5, 2] [13, 2] [5, 5, 4] [5, 4] ---------- = ------- [13, 5, 2] [13, 2] [9, 5, 3] [9, 3] ---------- = ------- [13, 5, 2] [13, 2] [1, 1, 5, 1] [1, 1, 1] ------------ = --------- [13, 5, 2] [13, 2] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [13, 5, 2] [13, 2] denominator=, [13, 5, 4] [3, 5, 5] [3, 5] ---------- = ------- [13, 5, 4] [13, 4] [1, 7, 5, 3] [1, 7, 3] ------------ = --------- [13, 5, 4] [13, 4] [2, 1, 5, 2] [2, 1, 2] ------------ = --------- [13, 5, 4] [13, 4] [2, 11, 5, 1] [2, 11, 1] ------------- = ---------- [13, 5, 4] [13, 4] denominator=, [13, 9, 8] [1, 14, 9, 6] [1, 14, 6] ------------- = ---------- [13, 9, 8] [13, 8] [2, 15, 9, 4] [2, 15, 4] ------------- = ---------- [13, 9, 8] [13, 8] [4, 0, 9, 2] [4, 0, 2] ------------ = --------- [13, 9, 8] [13, 8] denominator=, [13, 12, 8] [2, 4, 12, 0] [2, 4, 0] ------------- = --------- [13, 12, 8] [13, 8] denominator=, [13, 12, 11] [2, 4, 12, 8] [2, 4, 8] ------------- = --------- [13, 12, 11] [13, 11] [3, 11, 12, 5] [3, 11, 5] -------------- = ---------- [13, 12, 11] [13, 11] denominator=, [13, 13, 12] [4, 1, 13, 5] [4, 1, 5] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 12] [2, 0, 14, 8] [2, 0, 8] ------------- = --------- [13, 14, 12] [13, 12] [3, 3, 14, 4] [3, 3, 4] ------------- = --------- [13, 14, 12] [13, 12] [4, 6, 14, 0] [4, 6, 0] ------------- = --------- [13, 14, 12] [13, 12] denominator=, [13, 15, 0] [6, 15, 8] [6, 8] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 4] [6, 15, 10] [6, 10] ----------- = ------- [13, 15, 4] [13, 4] denominator=, [13, 15, 6] [6, 15, 11] [6, 11] ----------- = ------- [13, 15, 6] [13, 6] [1, 4, 15, 1] [1, 4, 1] ------------- = --------- [13, 15, 6] [13, 6] denominator=, [13, 15, 8] [6, 15, 12] [6, 12] ----------- = ------- [13, 15, 8] [13, 8] [1, 4, 15, 4] [1, 4, 4] ------------- = --------- [13, 15, 8] [13, 8] denominator=, [13, 15, 9] [1, 15, 15] [1, 15] ----------- = ------- [13, 15, 9] [13, 9] [3, 15, 14] [3, 14] ----------- = ------- [13, 15, 9] [13, 9] [5, 15, 13] [5, 13] ----------- = ------- [13, 15, 9] [13, 9] [7, 15, 12] [7, 12] ----------- = ------- [13, 15, 9] [13, 9] [9, 15, 11] [9, 11] ----------- = ------- [13, 15, 9] [13, 9] [11, 15, 10] [11, 10] ------------ = -------- [13, 15, 9] [13, 9] [15, 15, 8] [15, 8] ----------- = ------- [13, 15, 9] [13, 9] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [13, 15, 9] [13, 9] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [13, 15, 9] [13, 9] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [13, 15, 9] [13, 9] [1, 7, 15, 4] [1, 7, 4] ------------- = --------- [13, 15, 9] [13, 9] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [13, 15, 9] [13, 9] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [13, 15, 9] [13, 9] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [13, 15, 9] [13, 9] denominator=, [13, 15, 10] [6, 15, 13] [6, 13] ------------ = -------- [13, 15, 10] [13, 10] [1, 4, 15, 7] [1, 4, 7] ------------- = --------- [13, 15, 10] [13, 10] [2, 2, 15, 1] [2, 2, 1] ------------- = --------- [13, 15, 10] [13, 10] denominator=, [13, 15, 12] [6, 15, 14] [6, 14] ------------ = -------- [13, 15, 12] [13, 12] [1, 4, 15, 10] [1, 4, 10] -------------- = ---------- [13, 15, 12] [13, 12] [2, 2, 15, 6] [2, 2, 6] ------------- = --------- [13, 15, 12] [13, 12] [3, 0, 15, 2] [3, 0, 2] ------------- = --------- [13, 15, 12] [13, 12] denominator=, [13, 15, 14] [6, 15, 15] [6, 15] ------------ = -------- [13, 15, 14] [13, 14] [1, 4, 15, 13] [1, 4, 13] -------------- = ---------- [13, 15, 14] [13, 14] [2, 2, 15, 11] [2, 2, 11] -------------- = ---------- [13, 15, 14] [13, 14] [3, 0, 15, 9] [3, 0, 9] ------------- = --------- [13, 15, 14] [13, 14] [3, 14, 15, 7] [3, 14, 7] -------------- = ---------- [13, 15, 14] [13, 14] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [13, 15, 14] [13, 14] [5, 10, 15, 3] [5, 10, 3] -------------- = ---------- [13, 15, 14] [13, 14] [6, 8, 15, 1] [6, 8, 1] ------------- = --------- [13, 15, 14] [13, 14] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 6, 0] [5, 6, 4] [5, 4] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 6, 1] [6, 6, 4] [6, 4] ---------- = ------- [14, 6, 1] [14, 1] denominator=, [14, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [14, 6, 4] [14, 4] [8, 6, 5] [8, 5] ---------- = ------- [14, 6, 4] [14, 4] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [14, 6, 4] [14, 4] [1, 10, 6, 2] [1, 10, 2] ------------- = ---------- [14, 6, 4] [14, 4] [2, 0, 6, 1] [2, 0, 1] ------------ = --------- [14, 6, 4] [14, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [14, 6, 4] [14, 4] denominator=, [14, 6, 6] [3, 2, 6, 5] [3, 2, 5] ------------ = --------- [14, 6, 6] [14, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] [12, 2, 6, 1] [12, 2, 1] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 10, 0] [3, 10, 8] [3, 8] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 10, 4] [3, 10, 9] [3, 9] ----------- = ------- [14, 10, 4] [14, 4] denominator=, [14, 10, 7] [2, 10, 10] [2, 10] ----------- = ------- [14, 10, 7] [14, 7] [6, 10, 9] [6, 9] ----------- = ------- [14, 10, 7] [14, 7] [10, 10, 8] [10, 8] ----------- = ------- [14, 10, 7] [14, 7] [1, 2, 10, 6] [1, 2, 6] ------------- = --------- [14, 10, 7] [14, 7] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [14, 10, 7] [14, 7] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [14, 10, 7] [14, 7] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [14, 10, 7] [14, 7] [2, 2, 10, 2] [2, 2, 2] ------------- = --------- [14, 10, 7] [14, 7] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [14, 10, 7] [14, 7] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [14, 10, 7] [14, 7] denominator=, [14, 10, 8] [3, 10, 10] [3, 10] ----------- = ------- [14, 10, 8] [14, 8] [1, 9, 10, 6] [1, 9, 6] ------------- = --------- [14, 10, 8] [14, 8] [2, 4, 10, 4] [2, 4, 4] ------------- = --------- [14, 10, 8] [14, 8] [2, 15, 10, 2] [2, 15, 2] -------------- = ---------- [14, 10, 8] [14, 8] denominator=, [14, 10, 10] [2, 4, 10, 9] [2, 4, 9] ------------- = --------- [14, 10, 10] [14, 10] [5, 0, 10, 7] [5, 0, 7] ------------- = --------- [14, 10, 10] [14, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] [10, 8, 10, 3] [10, 8, 3] -------------- = ---------- [14, 10, 10] [14, 10] [13, 4, 10, 1] [13, 4, 1] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 11, 10] [1, 15, 11, 8] [1, 15, 8] -------------- = ---------- [14, 11, 10] [14, 10] [3, 0, 11, 6] [3, 0, 6] ------------- = --------- [14, 11, 10] [14, 10] [4, 1, 11, 4] [4, 1, 4] ------------- = --------- [14, 11, 10] [14, 10] [5, 2, 11, 2] [5, 2, 2] ------------- = --------- [14, 11, 10] [14, 10] [6, 3, 11, 0] [6, 3, 0] ------------- = --------- [14, 11, 10] [14, 10] denominator=, [14, 12, 10] [3, 3, 12, 3] [3, 3, 3] ------------- = --------- [14, 12, 10] [14, 10] denominator=, [14, 12, 12] [3, 3, 12, 10] [3, 3, 10] -------------- = ---------- [14, 12, 12] [14, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] [12, 7, 12, 2] [12, 7, 2] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 12] [4, 6, 14, 1] [4, 6, 1] ------------- = --------- [14, 14, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 15, 4] [4, 15, 12] [4, 12] ----------- = ------- [14, 15, 4] [14, 4] [9, 15, 8] [9, 8] ----------- = ------- [14, 15, 4] [14, 4] [1, 3, 15, 0] [1, 3, 0] ------------- = --------- [14, 15, 4] [14, 4] denominator=, [14, 15, 6] [2, 15, 14] [2, 14] ----------- = ------- [14, 15, 6] [14, 6] [5, 15, 12] [5, 12] ----------- = ------- [14, 15, 6] [14, 6] [8, 15, 10] [8, 10] ----------- = ------- [14, 15, 6] [14, 6] [11, 15, 8] [11, 8] ----------- = ------- [14, 15, 6] [14, 6] [1, 1, 15, 4] [1, 1, 4] ------------- = --------- [14, 15, 6] [14, 6] [1, 4, 15, 2] [1, 4, 2] ------------- = --------- [14, 15, 6] [14, 6] [1, 7, 15, 0] [1, 7, 0] ------------- = --------- [14, 15, 6] [14, 6] denominator=, [14, 15, 7] [4, 15, 13] [4, 13] ----------- = ------- [14, 15, 7] [14, 7] [9, 15, 10] [9, 10] ----------- = ------- [14, 15, 7] [14, 7] [1, 3, 15, 4] [1, 3, 4] ------------- = --------- [14, 15, 7] [14, 7] [1, 8, 15, 1] [1, 8, 1] ------------- = --------- [14, 15, 7] [14, 7] denominator=, [14, 15, 10] [4, 15, 14] [4, 14] ------------ = -------- [14, 15, 10] [14, 10] [9, 15, 12] [9, 12] ------------ = -------- [14, 15, 10] [14, 10] [1, 3, 15, 8] [1, 3, 8] ------------- = --------- [14, 15, 10] [14, 10] [1, 8, 15, 6] [1, 8, 6] ------------- = --------- [14, 15, 10] [14, 10] [2, 2, 15, 2] [2, 2, 2] ------------- = --------- [14, 15, 10] [14, 10] [2, 7, 15, 0] [2, 7, 0] ------------- = --------- [14, 15, 10] [14, 10] denominator=, [14, 15, 11] [2, 15, 15] [2, 15] ------------ = -------- [14, 15, 11] [14, 11] [5, 15, 14] [5, 14] ------------ = -------- [14, 15, 11] [14, 11] [8, 15, 13] [8, 13] ------------ = -------- [14, 15, 11] [14, 11] [11, 15, 12] [11, 12] ------------ = -------- [14, 15, 11] [14, 11] [1, 1, 15, 10] [1, 1, 10] -------------- = ---------- [14, 15, 11] [14, 11] [1, 4, 15, 9] [1, 4, 9] ------------- = --------- [14, 15, 11] [14, 11] [1, 7, 15, 8] [1, 7, 8] ------------- = --------- [14, 15, 11] [14, 11] [1, 10, 15, 7] [1, 10, 7] -------------- = ---------- [14, 15, 11] [14, 11] [2, 0, 15, 5] [2, 0, 5] ------------- = --------- [14, 15, 11] [14, 11] [2, 3, 15, 4] [2, 3, 4] ------------- = --------- [14, 15, 11] [14, 11] [2, 6, 15, 3] [2, 6, 3] ------------- = --------- [14, 15, 11] [14, 11] [2, 9, 15, 2] [2, 9, 2] ------------- = --------- [14, 15, 11] [14, 11] [2, 15, 15, 0] [2, 15, 0] -------------- = ---------- [14, 15, 11] [14, 11] denominator=, [14, 15, 13] [4, 15, 15] [4, 15] ------------ = -------- [14, 15, 13] [14, 13] [9, 15, 14] [9, 14] ------------ = -------- [14, 15, 13] [14, 13] [1, 3, 15, 12] [1, 3, 12] -------------- = ---------- [14, 15, 13] [14, 13] [1, 8, 15, 11] [1, 8, 11] -------------- = ---------- [14, 15, 13] [14, 13] [2, 2, 15, 9] [2, 2, 9] ------------- = --------- [14, 15, 13] [14, 13] [2, 7, 15, 8] [2, 7, 8] ------------- = --------- [14, 15, 13] [14, 13] [3, 1, 15, 6] [3, 1, 6] ------------- = --------- [14, 15, 13] [14, 13] [3, 6, 15, 5] [3, 6, 5] ------------- = --------- [14, 15, 13] [14, 13] [4, 0, 15, 3] [4, 0, 3] ------------- = --------- [14, 15, 13] [14, 13] [4, 5, 15, 2] [4, 5, 2] ------------- = --------- [14, 15, 13] [14, 13] [4, 15, 15, 0] [4, 15, 0] -------------- = ---------- [14, 15, 13] [14, 13] denominator=, [15, 5, 4] [2, 6, 5, 2] [2, 6, 2] ------------ = --------- [15, 5, 4] [15, 4] denominator=, [15, 6, 2] [1, 6, 6] [1, 6] ---------- = ------- [15, 6, 2] [15, 2] [8, 6, 4] [8, 4] ---------- = ------- [15, 6, 2] [15, 2] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [15, 6, 2] [15, 2] denominator=, [15, 6, 5] [4, 6, 6] [4, 6] ---------- = ------- [15, 6, 5] [15, 5] [1, 10, 6, 4] [1, 10, 4] ------------- = ---------- [15, 6, 5] [15, 5] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [15, 6, 5] [15, 5] [3, 0, 6, 2] [3, 0, 2] ------------ = --------- [15, 6, 5] [15, 5] [3, 11, 6, 1] [3, 11, 1] ------------- = ---------- [15, 6, 5] [15, 5] [4, 6, 6, 0] [4, 6, 0] ------------ = --------- [15, 6, 5] [15, 5] denominator=, [15, 9, 0] [2, 9, 8] [2, 8] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 9, 6] [2, 9, 9] [2, 9] ---------- = ------- [15, 9, 6] [15, 6] [1, 12, 9, 3] [1, 12, 3] ------------- = ---------- [15, 9, 6] [15, 6] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [15, 9, 6] [15, 6] denominator=, [15, 9, 7] [3, 9, 9] [3, 9] ---------- = ------- [15, 9, 7] [15, 7] [9, 9, 8] [9, 8] ---------- = ------- [15, 9, 7] [15, 7] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [15, 9, 7] [15, 7] [1, 11, 9, 5] [1, 11, 5] ------------- = ---------- [15, 9, 7] [15, 7] [2, 1, 9, 4] [2, 1, 4] ------------ = --------- [15, 9, 7] [15, 7] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [15, 9, 7] [15, 7] [2, 13, 9, 2] [2, 13, 2] ------------- = ---------- [15, 9, 7] [15, 7] [3, 3, 9, 1] [3, 3, 1] ------------ = --------- [15, 9, 7] [15, 7] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [15, 9, 7] [15, 7] denominator=, [15, 9, 8] [3, 6, 9, 4] [3, 6, 4] ------------ = --------- [15, 9, 8] [15, 8] denominator=, [15, 9, 9] [2, 9, 9, 8] [2, 9, 8] ------------ = --------- [15, 9, 9] [15, 9] [4, 3, 9, 7] [4, 3, 7] ------------ = --------- [15, 9, 9] [15, 9] [7, 7, 9, 5] [7, 7, 5] ------------ = --------- [15, 9, 9] [15, 9] [9, 1, 9, 4] [9, 1, 4] ------------ = --------- [15, 9, 9] [15, 9] [12, 5, 9, 2] [12, 5, 2] ------------- = ---------- [15, 9, 9] [15, 9] [13, 15, 9, 1] [13, 15, 1] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 13, 12] [2, 0, 13, 10] [2, 0, 10] -------------- = ---------- [15, 13, 12] [15, 12] [3, 1, 13, 8] [3, 1, 8] ------------- = --------- [15, 13, 12] [15, 12] [4, 2, 13, 6] [4, 2, 6] ------------- = --------- [15, 13, 12] [15, 12] [5, 3, 13, 4] [5, 3, 4] ------------- = --------- [15, 13, 12] [15, 12] [6, 4, 13, 2] [6, 4, 2] ------------- = --------- [15, 13, 12] [15, 12] [7, 5, 13, 0] [7, 5, 0] ------------- = --------- [15, 13, 12] [15, 12] denominator=, [15, 15, 2] [7, 15, 9] [7, 9] ----------- = ------- [15, 15, 2] [15, 2] denominator=, [15, 15, 4] [3, 15, 13] [3, 13] ----------- = ------- [15, 15, 4] [15, 4] [7, 15, 10] [7, 10] ----------- = ------- [15, 15, 4] [15, 4] [11, 15, 7] [11, 7] ----------- = ------- [15, 15, 4] [15, 4] [1, 3, 15, 1] [1, 3, 1] ------------- = --------- [15, 15, 4] [15, 4] denominator=, [15, 15, 6] [7, 15, 11] [7, 11] ----------- = ------- [15, 15, 6] [15, 6] [1, 7, 15, 1] [1, 7, 1] ------------- = --------- [15, 15, 6] [15, 6] denominator=, [15, 15, 8] [1, 15, 15] [1, 15] ----------- = ------- [15, 15, 8] [15, 8] [3, 15, 14] [3, 14] ----------- = ------- [15, 15, 8] [15, 8] [5, 15, 13] [5, 13] ----------- = ------- [15, 15, 8] [15, 8] [7, 15, 12] [7, 12] ----------- = ------- [15, 15, 8] [15, 8] [9, 15, 11] [9, 11] ----------- = ------- [15, 15, 8] [15, 8] [11, 15, 10] [11, 10] ------------ = -------- [15, 15, 8] [15, 8] [13, 15, 9] [13, 9] ----------- = ------- [15, 15, 8] [15, 8] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [15, 15, 8] [15, 8] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [15, 15, 8] [15, 8] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [15, 15, 8] [15, 8] [1, 7, 15, 4] [1, 7, 4] ------------- = --------- [15, 15, 8] [15, 8] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [15, 15, 8] [15, 8] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [15, 15, 8] [15, 8] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [15, 15, 8] [15, 8] denominator=, [15, 15, 10] [7, 15, 13] [7, 13] ------------ = -------- [15, 15, 10] [15, 10] [1, 7, 15, 7] [1, 7, 7] ------------- = --------- [15, 15, 10] [15, 10] [2, 7, 15, 1] [2, 7, 1] ------------- = --------- [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [3, 15, 15] [3, 15] ------------ = -------- [15, 15, 12] [15, 12] [7, 15, 14] [7, 14] ------------ = -------- [15, 15, 12] [15, 12] [11, 15, 13] [11, 13] ------------ = -------- [15, 15, 12] [15, 12] [1, 3, 15, 11] [1, 3, 11] -------------- = ---------- [15, 15, 12] [15, 12] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [15, 15, 12] [15, 12] [1, 11, 15, 9] [1, 11, 9] -------------- = ---------- [15, 15, 12] [15, 12] [2, 3, 15, 7] [2, 3, 7] ------------- = --------- [15, 15, 12] [15, 12] [2, 7, 15, 6] [2, 7, 6] ------------- = --------- [15, 15, 12] [15, 12] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [15, 15, 12] [15, 12] [3, 3, 15, 3] [3, 3, 3] ------------- = --------- [15, 15, 12] [15, 12] [3, 7, 15, 2] [3, 7, 2] ------------- = --------- [15, 15, 12] [15, 12] [3, 11, 15, 1] [3, 11, 1] -------------- = ---------- [15, 15, 12] [15, 12] denominator=, [15, 15, 14] [7, 15, 15] [7, 15] ------------ = -------- [15, 15, 14] [15, 14] [1, 7, 15, 13] [1, 7, 13] -------------- = ---------- [15, 15, 14] [15, 14] [2, 7, 15, 11] [2, 7, 11] -------------- = ---------- [15, 15, 14] [15, 14] [3, 7, 15, 9] [3, 7, 9] ------------- = --------- [15, 15, 14] [15, 14] [4, 7, 15, 7] [4, 7, 7] ------------- = --------- [15, 15, 14] [15, 14] [5, 7, 15, 5] [5, 7, 5] ------------- = --------- [15, 15, 14] [15, 14] [6, 7, 15, 3] [6, 7, 3] ------------- = --------- [15, 15, 14] [15, 14] [7, 7, 15, 1] [7, 7, 1] ------------- = --------- [15, 15, 14] [15, 14] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 10, 4] [10, 8, 0] [8, 0] ---------- = ------ [1, 10, 4] [1, 4] [2, 10, 0, 0] [2, 0, 0] ------------- = --------- [1, 10, 4] [1, 4] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 2] [12, 8, 0] [8, 0] ---------- = ------ [1, 12, 2] [1, 2] denominator=, [1, 12, 8] [4, 12, 0, 0] [4, 0, 0] ------------- = --------- [1, 12, 8] [1, 8] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 5] [13, 9, 12] [9, 12] ----------- = ------- [1, 13, 5] [1, 5] [2, 13, 0, 4] [2, 0, 4] ------------- = --------- [1, 13, 5] [1, 5] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [1, 13, 12] [1, 12] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [1, 13, 12] [1, 12] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 1] [6, 5, 8] [5, 8] --------- = ------ [2, 6, 1] [2, 1] [1, 6, 3, 4] [1, 3, 4] ------------ = --------- [2, 6, 1] [2, 1] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 3] [12, 10, 0] [10, 0] ----------- = ------- [2, 12, 3] [2, 3] [1, 12, 6, 8] [1, 6, 8] ------------- = --------- [2, 12, 3] [2, 3] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [2, 14, 1] [14, 10, 8] [10, 8] ----------- = ------- [2, 14, 1] [2, 1] [1, 14, 5, 12] [1, 5, 12] -------------- = ---------- [2, 14, 1] [2, 1] denominator=, [2, 14, 12] [14, 14, 0] [14, 0] ----------- = ------- [2, 14, 12] [2, 12] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [2, 14, 12] [2, 12] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [2, 14, 12] [2, 12] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [2, 14, 12] [2, 12] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [2, 14, 12] [2, 12] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [2, 14, 12] [2, 12] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [2, 14, 12] [2, 12] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [2, 14, 12] [2, 12] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [2, 14, 12] [2, 12] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [2, 14, 12] [2, 12] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [2, 14, 12] [2, 12] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [2, 14, 12] [2, 12] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [2, 14, 12] [2, 12] denominator=, [2, 15, 1] [15, 11, 0] [11, 0] ----------- = ------- [2, 15, 1] [2, 1] [1, 15, 6, 0] [1, 6, 0] ------------- = --------- [2, 15, 1] [2, 1] denominator=, [2, 15, 4] [15, 12, 0] [12, 0] ----------- = ------- [2, 15, 4] [2, 4] [1, 15, 8, 0] [1, 8, 0] ------------- = --------- [2, 15, 4] [2, 4] [3, 15, 0, 0] [3, 0, 0] ------------- = --------- [2, 15, 4] [2, 4] denominator=, [2, 15, 7] [15, 13, 0] [13, 0] ----------- = ------- [2, 15, 7] [2, 7] [1, 15, 10, 0] [1, 10, 0] -------------- = ---------- [2, 15, 7] [2, 7] [3, 15, 4, 0] [3, 4, 0] ------------- = --------- [2, 15, 7] [2, 7] [4, 15, 1, 0] [4, 1, 0] ------------- = --------- [2, 15, 7] [2, 7] denominator=, [2, 15, 10] [15, 14, 0] [14, 0] ----------- = ------- [2, 15, 10] [2, 10] [1, 15, 12, 0] [1, 12, 0] -------------- = ---------- [2, 15, 10] [2, 10] [3, 15, 8, 0] [3, 8, 0] ------------- = --------- [2, 15, 10] [2, 10] [4, 15, 6, 0] [4, 6, 0] ------------- = --------- [2, 15, 10] [2, 10] [6, 15, 2, 0] [6, 2, 0] ------------- = --------- [2, 15, 10] [2, 10] [7, 15, 0, 0] [7, 0, 0] ------------- = --------- [2, 15, 10] [2, 10] denominator=, [2, 15, 13] [15, 15, 0] [15, 0] ----------- = ------- [2, 15, 13] [2, 13] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [2, 15, 13] [2, 13] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [2, 15, 13] [2, 13] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [2, 15, 13] [2, 13] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [2, 15, 13] [2, 13] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [2, 15, 13] [2, 13] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [2, 15, 13] [2, 13] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [2, 15, 13] [2, 13] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [2, 15, 13] [2, 13] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [2, 15, 13] [2, 13] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [2, 15, 13] [2, 13] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [9, 8, 0] [8, 0] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 3] [9, 8, 8] [8, 8] --------- = ------ [3, 9, 3] [3, 3] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 9] [9, 9, 8] [9, 8] --------- = ------ [3, 9, 9] [3, 9] [6, 9, 8, 8] [6, 8, 8] ------------ = --------- [3, 9, 9] [3, 9] [9, 9, 8, 0] [9, 8, 0] ------------ = --------- [3, 9, 9] [3, 9] [15, 9, 7, 0] [15, 7, 0] ------------- = ---------- [3, 9, 9] [3, 9] [1, 2, 9, 6, 8] [1, 2, 6, 8] --------------- = ------------ [3, 9, 9] [3, 9] [1, 8, 9, 5, 8] [1, 8, 5, 8] --------------- = ------------ [3, 9, 9] [3, 9] [1, 11, 9, 5, 0] [1, 11, 5, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 1, 9, 4, 0] [2, 1, 4, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 4, 9, 3, 8] [2, 4, 3, 8] --------------- = ------------ [3, 9, 9] [3, 9] [2, 10, 9, 2, 8] [2, 10, 2, 8] ---------------- = ------------- [3, 9, 9] [3, 9] [2, 13, 9, 2, 0] [2, 13, 2, 0] ---------------- = ------------- [3, 9, 9] [3, 9] [3, 3, 9, 1, 0] [3, 3, 1, 0] --------------- = ------------ [3, 9, 9] [3, 9] [3, 6, 9, 0, 8] [3, 6, 0, 8] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 11, 1] [11, 9, 10] [9, 10] ----------- = ------- [3, 11, 1] [3, 1] [1, 11, 6, 12] [1, 6, 12] -------------- = ---------- [3, 11, 1] [3, 1] [2, 11, 3, 14] [2, 3, 14] -------------- = ---------- [3, 11, 1] [3, 1] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [4, 3, 2] [11, 3, 0, 0] [11, 0, 0] ------------- = ---------- [4, 3, 2] [4, 2] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 15] [6, 0, 15] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 12, 2] [12, 11, 0] [11, 0] ----------- = ------- [4, 12, 2] [4, 2] [2, 12, 6, 8] [2, 6, 8] ------------- = --------- [4, 12, 2] [4, 2] [3, 12, 4, 4] [3, 4, 4] ------------- = --------- [4, 12, 2] [4, 2] denominator=, [4, 12, 5] [12, 11, 8] [11, 8] ----------- = ------- [4, 12, 5] [4, 5] [2, 12, 8, 4] [2, 8, 4] ------------- = --------- [4, 12, 5] [4, 5] [3, 12, 6, 10] [3, 6, 10] -------------- = ---------- [4, 12, 5] [4, 5] [5, 12, 3, 6] [5, 3, 6] ------------- = --------- [4, 12, 5] [4, 5] [6, 12, 1, 12] [6, 1, 12] -------------- = ---------- [4, 12, 5] [4, 5] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 11] [12, 12, 8] [12, 8] ----------- = ------- [4, 12, 11] [4, 11] [2, 12, 11, 12] [2, 11, 12] --------------- = ----------- [4, 12, 11] [4, 11] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [4, 12, 11] [4, 11] [5, 12, 10, 10] [5, 10, 10] --------------- = ----------- [4, 12, 11] [4, 11] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [4, 12, 11] [4, 11] [8, 12, 9, 8] [8, 9, 8] ------------- = --------- [4, 12, 11] [4, 11] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [4, 12, 11] [4, 11] [11, 12, 8, 6] [11, 8, 6] -------------- = ---------- [4, 12, 11] [4, 11] [12, 12, 8, 0] [12, 8, 0] -------------- = ---------- [4, 12, 11] [4, 11] [14, 12, 7, 4] [14, 7, 4] -------------- = ---------- [4, 12, 11] [4, 11] [15, 12, 6, 14] [15, 6, 14] --------------- = ----------- [4, 12, 11] [4, 11] [1, 1, 12, 6, 2] [1, 1, 6, 2] ---------------- = ------------ [4, 12, 11] [4, 11] [1, 2, 12, 5, 12] [1, 2, 5, 12] ----------------- = ------------- [4, 12, 11] [4, 11] [1, 4, 12, 5, 0] [1, 4, 5, 0] ---------------- = ------------ [4, 12, 11] [4, 11] [1, 5, 12, 4, 10] [1, 5, 4, 10] ----------------- = ------------- [4, 12, 11] [4, 11] [1, 7, 12, 3, 14] [1, 7, 3, 14] ----------------- = ------------- [4, 12, 11] [4, 11] [1, 8, 12, 3, 8] [1, 8, 3, 8] ---------------- = ------------ [4, 12, 11] [4, 11] [1, 10, 12, 2, 12] [1, 10, 2, 12] ------------------ = -------------- [4, 12, 11] [4, 11] [1, 11, 12, 2, 6] [1, 11, 2, 6] ----------------- = ------------- [4, 12, 11] [4, 11] [1, 13, 12, 1, 10] [1, 13, 1, 10] ------------------ = -------------- [4, 12, 11] [4, 11] [1, 14, 12, 1, 4] [1, 14, 1, 4] ----------------- = ------------- [4, 12, 11] [4, 11] [2, 0, 12, 0, 8] [2, 0, 0, 8] ---------------- = ------------ [4, 12, 11] [4, 11] [2, 1, 12, 0, 2] [2, 1, 0, 2] ---------------- = ------------ [4, 12, 11] [4, 11] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [4, 14, 10] [14, 14, 0] [14, 0] ----------- = ------- [4, 14, 10] [4, 10] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [4, 14, 10] [4, 10] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [4, 14, 10] [4, 10] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [4, 14, 10] [4, 10] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [4, 14, 10] [4, 10] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [4, 14, 10] [4, 10] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [4, 14, 10] [4, 10] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [4, 14, 10] [4, 10] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [4, 14, 10] [4, 10] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [4, 14, 10] [4, 10] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [4, 14, 10] [4, 10] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [4, 14, 10] [4, 10] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [4, 14, 10] [4, 10] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [4, 14, 10] [4, 10] denominator=, [4, 15, 1] [15, 13, 0] [13, 0] ----------- = ------- [4, 15, 1] [4, 1] [1, 15, 10, 0] [1, 10, 0] -------------- = ---------- [4, 15, 1] [4, 1] [2, 15, 7, 0] [2, 7, 0] ------------- = --------- [4, 15, 1] [4, 1] [3, 15, 4, 0] [3, 4, 0] ------------- = --------- [4, 15, 1] [4, 1] denominator=, [4, 15, 6] [15, 14, 0] [14, 0] ----------- = ------- [4, 15, 6] [4, 6] [1, 15, 12, 0] [1, 12, 0] -------------- = ---------- [4, 15, 6] [4, 6] [2, 15, 10, 0] [2, 10, 0] -------------- = ---------- [4, 15, 6] [4, 6] [3, 15, 8, 0] [3, 8, 0] ------------- = --------- [4, 15, 6] [4, 6] [5, 15, 4, 0] [5, 4, 0] ------------- = --------- [4, 15, 6] [4, 6] [6, 15, 2, 0] [6, 2, 0] ------------- = --------- [4, 15, 6] [4, 6] [7, 15, 0, 0] [7, 0, 0] ------------- = --------- [4, 15, 6] [4, 6] denominator=, [4, 15, 11] [15, 15, 0] [15, 0] ----------- = ------- [4, 15, 11] [4, 11] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [4, 15, 11] [4, 11] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [4, 15, 11] [4, 11] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [4, 15, 11] [4, 11] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [4, 15, 11] [4, 11] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [4, 15, 11] [4, 11] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [4, 15, 11] [4, 11] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [4, 15, 11] [4, 11] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [4, 15, 11] [4, 11] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [4, 15, 11] [4, 11] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [4, 15, 11] [4, 11] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [4, 15, 11] [4, 11] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [4, 15, 11] [4, 11] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 6, 4] [14, 6, 0, 0] [14, 0, 0] ------------- = ---------- [5, 6, 4] [5, 4] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 15, 1] [15, 13, 8] [13, 8] ----------- = ------- [5, 15, 1] [5, 1] [1, 15, 11, 0] [1, 11, 0] -------------- = ---------- [5, 15, 1] [5, 1] [3, 15, 6, 0] [3, 6, 0] ------------- = --------- [5, 15, 1] [5, 1] [4, 15, 3, 8] [4, 3, 8] ------------- = --------- [5, 15, 1] [5, 1] denominator=, [5, 15, 4] [15, 14, 0] [14, 0] ----------- = ------- [5, 15, 4] [5, 4] [1, 15, 12, 0] [1, 12, 0] -------------- = ---------- [5, 15, 4] [5, 4] [3, 15, 8, 0] [3, 8, 0] ------------- = --------- [5, 15, 4] [5, 4] [4, 15, 6, 0] [4, 6, 0] ------------- = --------- [5, 15, 4] [5, 4] [6, 15, 2, 0] [6, 2, 0] ------------- = --------- [5, 15, 4] [5, 4] [7, 15, 0, 0] [7, 0, 0] ------------- = --------- [5, 15, 4] [5, 4] denominator=, [5, 15, 7] [15, 14, 8] [14, 8] ----------- = ------- [5, 15, 7] [5, 7] [1, 15, 13, 0] [1, 13, 0] -------------- = ---------- [5, 15, 7] [5, 7] [3, 15, 10, 0] [3, 10, 0] -------------- = ---------- [5, 15, 7] [5, 7] [4, 15, 8, 8] [4, 8, 8] ------------- = --------- [5, 15, 7] [5, 7] [6, 15, 5, 8] [6, 5, 8] ------------- = --------- [5, 15, 7] [5, 7] [7, 15, 4, 0] [7, 4, 0] ------------- = --------- [5, 15, 7] [5, 7] [9, 15, 1, 0] [9, 1, 0] ------------- = --------- [5, 15, 7] [5, 7] denominator=, [5, 15, 10] [15, 15, 0] [15, 0] ----------- = ------- [5, 15, 10] [5, 10] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [5, 15, 10] [5, 10] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [5, 15, 10] [5, 10] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [5, 15, 10] [5, 10] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [5, 15, 10] [5, 10] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [5, 15, 10] [5, 10] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [5, 15, 10] [5, 10] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [5, 15, 10] [5, 10] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [5, 15, 10] [5, 10] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [5, 15, 10] [5, 10] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [5, 15, 10] [5, 10] denominator=, [5, 15, 13] [15, 15, 8] [15, 8] ----------- = ------- [5, 15, 13] [5, 13] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [5, 15, 13] [5, 13] [3, 15, 14, 0] [3, 14, 0] -------------- = ---------- [5, 15, 13] [5, 13] [4, 15, 13, 8] [4, 13, 8] -------------- = ---------- [5, 15, 13] [5, 13] [6, 15, 12, 8] [6, 12, 8] -------------- = ---------- [5, 15, 13] [5, 13] [7, 15, 12, 0] [7, 12, 0] -------------- = ---------- [5, 15, 13] [5, 13] [9, 15, 11, 0] [9, 11, 0] -------------- = ---------- [5, 15, 13] [5, 13] [10, 15, 10, 8] [10, 10, 8] --------------- = ----------- [5, 15, 13] [5, 13] [12, 15, 9, 8] [12, 9, 8] -------------- = ---------- [5, 15, 13] [5, 13] [13, 15, 9, 0] [13, 9, 0] -------------- = ---------- [5, 15, 13] [5, 13] [15, 15, 8, 0] [15, 8, 0] -------------- = ---------- [5, 15, 13] [5, 13] [1, 0, 15, 7, 8] [1, 0, 7, 8] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 2, 15, 6, 8] [1, 2, 6, 8] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 3, 15, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 5, 15, 5, 0] [1, 5, 5, 0] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 6, 15, 4, 8] [1, 6, 4, 8] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 8, 15, 3, 8] [1, 8, 3, 8] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 9, 15, 3, 0] [1, 9, 3, 0] ---------------- = ------------ [5, 15, 13] [5, 13] [1, 11, 15, 2, 0] [1, 11, 2, 0] ----------------- = ------------- [5, 15, 13] [5, 13] [1, 12, 15, 1, 8] [1, 12, 1, 8] ----------------- = ------------- [5, 15, 13] [5, 13] [1, 14, 15, 0, 8] [1, 14, 0, 8] ----------------- = ------------- [5, 15, 13] [5, 13] [1, 15, 15, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [5, 15, 13] [5, 13] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [1, 6, 5, 7] [1, 5, 7] ------------ = --------- [6, 6, 2] [6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] [5, 6, 2, 11] [5, 2, 11] ------------- = ---------- [6, 6, 2] [6, 2] [7, 6, 1, 5] [7, 1, 5] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 4] [1, 6, 5, 14] [1, 5, 14] ------------- = ---------- [6, 6, 4] [6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [5, 6, 4, 6] [5, 4, 6] ------------ = --------- [6, 6, 4] [6, 4] [7, 6, 3, 10] [7, 3, 10] ------------- = ---------- [6, 6, 4] [6, 4] [9, 6, 2, 14] [9, 2, 14] ------------- = ---------- [6, 6, 4] [6, 4] [11, 6, 2, 2] [11, 2, 2] ------------- = ---------- [6, 6, 4] [6, 4] [13, 6, 1, 6] [13, 1, 6] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 10] [15, 0, 10] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 6] [1, 1, 9, 0, 0] [1, 1, 0, 0] --------------- = ------------ [6, 9, 6] [6, 6] denominator=, [6, 9, 9] [1, 1, 9, 8, 0] [1, 1, 8, 0] --------------- = ------------ [6, 9, 9] [6, 9] [1, 12, 9, 7, 0] [1, 12, 7, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [3, 2, 9, 5, 0] [3, 2, 5, 0] --------------- = ------------ [6, 9, 9] [6, 9] [3, 13, 9, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [6, 9, 9] [6, 9] [5, 3, 9, 2, 0] [5, 3, 2, 0] --------------- = ------------ [6, 9, 9] [6, 9] [5, 14, 9, 1, 0] [5, 14, 1, 0] ---------------- = ------------- [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 10, 9] [10, 10, 8] [10, 8] ----------- = ------- [6, 10, 9] [6, 9] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [6, 10, 9] [6, 9] [3, 10, 9, 12] [3, 9, 12] -------------- = ---------- [6, 10, 9] [6, 9] [4, 10, 9, 8] [4, 9, 8] ------------- = --------- [6, 10, 9] [6, 9] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [6, 10, 9] [6, 9] [7, 10, 8, 12] [7, 8, 12] -------------- = ---------- [6, 10, 9] [6, 9] [8, 10, 8, 8] [8, 8, 8] ------------- = --------- [6, 10, 9] [6, 9] [9, 10, 8, 4] [9, 8, 4] ------------- = --------- [6, 10, 9] [6, 9] [10, 10, 8, 0] [10, 8, 0] -------------- = ---------- [6, 10, 9] [6, 9] [12, 10, 7, 8] [12, 7, 8] -------------- = ---------- [6, 10, 9] [6, 9] [13, 10, 7, 4] [13, 7, 4] -------------- = ---------- [6, 10, 9] [6, 9] [14, 10, 7, 0] [14, 7, 0] -------------- = ---------- [6, 10, 9] [6, 9] [15, 10, 6, 12] [15, 6, 12] --------------- = ----------- [6, 10, 9] [6, 9] [1, 1, 10, 6, 4] [1, 1, 6, 4] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 2, 10, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 3, 10, 5, 12] [1, 3, 5, 12] ----------------- = ------------- [6, 10, 9] [6, 9] [1, 4, 10, 5, 8] [1, 4, 5, 8] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 6, 10, 5, 0] [1, 6, 5, 0] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 7, 10, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [6, 10, 9] [6, 9] [1, 8, 10, 4, 8] [1, 8, 4, 8] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 9, 10, 4, 4] [1, 9, 4, 4] ---------------- = ------------ [6, 10, 9] [6, 9] [1, 11, 10, 3, 12] [1, 11, 3, 12] ------------------ = -------------- [6, 10, 9] [6, 9] [1, 12, 10, 3, 8] [1, 12, 3, 8] ----------------- = ------------- [6, 10, 9] [6, 9] [1, 13, 10, 3, 4] [1, 13, 3, 4] ----------------- = ------------- [6, 10, 9] [6, 9] [1, 14, 10, 3, 0] [1, 14, 3, 0] ----------------- = ------------- [6, 10, 9] [6, 9] [2, 0, 10, 2, 8] [2, 0, 2, 8] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 1, 10, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 2, 10, 2, 0] [2, 2, 2, 0] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 3, 10, 1, 12] [2, 3, 1, 12] ----------------- = ------------- [6, 10, 9] [6, 9] [2, 5, 10, 1, 4] [2, 5, 1, 4] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 6, 10, 1, 0] [2, 6, 1, 0] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 7, 10, 0, 12] [2, 7, 0, 12] ----------------- = ------------- [6, 10, 9] [6, 9] [2, 8, 10, 0, 8] [2, 8, 0, 8] ---------------- = ------------ [6, 10, 9] [6, 9] [2, 10, 10, 0, 0] [2, 10, 0, 0] ----------------- = ------------- [6, 10, 9] [6, 9] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [6, 15, 2] [15, 14, 0] [14, 0] ----------- = ------- [6, 15, 2] [6, 2] [1, 15, 12, 0] [1, 12, 0] -------------- = ---------- [6, 15, 2] [6, 2] [2, 15, 10, 0] [2, 10, 0] -------------- = ---------- [6, 15, 2] [6, 2] [3, 15, 8, 0] [3, 8, 0] ------------- = --------- [6, 15, 2] [6, 2] [4, 15, 6, 0] [4, 6, 0] ------------- = --------- [6, 15, 2] [6, 2] [5, 15, 4, 0] [5, 4, 0] ------------- = --------- [6, 15, 2] [6, 2] [7, 15, 0, 0] [7, 0, 0] ------------- = --------- [6, 15, 2] [6, 2] denominator=, [6, 15, 9] [15, 15, 0] [15, 0] ----------- = ------- [6, 15, 9] [6, 9] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [6, 15, 9] [6, 9] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [6, 15, 9] [6, 9] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [6, 15, 9] [6, 9] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [6, 15, 9] [6, 9] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [6, 15, 9] [6, 9] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [6, 15, 9] [6, 9] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [6, 15, 9] [6, 9] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [6, 15, 9] [6, 9] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [6, 15, 9] [6, 9] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [6, 15, 9] [6, 9] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [6, 15, 9] [6, 9] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [6, 15, 9] [6, 9] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [6, 15, 9] [6, 9] denominator=, [7, 3, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [7, 3, 2] [7, 2] [4, 3, 2, 8] [4, 2, 8] ------------ = --------- [7, 3, 2] [7, 2] [10, 3, 1, 8] [10, 1, 8] ------------- = ---------- [7, 3, 2] [7, 2] [13, 3, 1, 0] [13, 1, 0] ------------- = ---------- [7, 3, 2] [7, 2] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [7, 3, 2] [7, 2] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 12, 8] [1, 4, 12, 0, 0] [1, 4, 0, 0] ---------------- = ------------ [7, 12, 8] [7, 8] denominator=, [7, 12, 11] [1, 4, 12, 8, 0] [1, 4, 8, 0] ---------------- = ------------ [7, 12, 11] [7, 11] [2, 1, 12, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [7, 12, 11] [7, 11] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [8, 5, 2] [3, 5, 4, 0] [3, 4, 0] ------------ = --------- [8, 5, 2] [8, 2] [13, 5, 0, 0] [13, 0, 0] ------------- = ---------- [8, 5, 2] [8, 2] denominator=, [8, 6, 1] [1, 6, 5, 8] [1, 5, 8] ------------ = --------- [8, 6, 1] [8, 1] denominator=, [8, 6, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [8, 6, 4] [8, 4] [15, 6, 2, 0] [15, 2, 0] ------------- = ---------- [8, 6, 4] [8, 4] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [8, 6, 4] [8, 4] denominator=, [8, 6, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [8, 6, 5] [8, 5] [5, 6, 5, 8] [5, 5, 8] ------------ = --------- [8, 6, 5] [8, 5] [11, 6, 4, 8] [11, 4, 8] ------------- = ---------- [8, 6, 5] [8, 5] [14, 6, 4, 0] [14, 4, 0] ------------- = ---------- [8, 6, 5] [8, 5] [1, 1, 6, 3, 8] [1, 1, 3, 8] --------------- = ------------ [8, 6, 5] [8, 5] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [8, 6, 5] [8, 5] [1, 7, 6, 2, 8] [1, 7, 2, 8] --------------- = ------------ [8, 6, 5] [8, 5] [1, 10, 6, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [8, 6, 5] [8, 5] [2, 0, 6, 1, 0] [2, 0, 1, 0] --------------- = ------------ [8, 6, 5] [8, 5] [2, 3, 6, 0, 8] [2, 3, 0, 8] --------------- = ------------ [8, 6, 5] [8, 5] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [8, 6, 5] [8, 5] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 15] [10, 2, 15] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 14] [12, 1, 14] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 13] [14, 0, 13] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 13] [12, 4, 13] -------------- = ----------- [8, 8, 6] [8, 6] [1, 4, 8, 2, 7] [1, 4, 2, 7] --------------- = ------------ [8, 8, 6] [8, 6] [1, 12, 8, 0, 1] [1, 12, 0, 1] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 13, 12] [1, 11, 13, 8, 0] [1, 11, 8, 0] ----------------- = ------------- [8, 13, 12] [8, 12] [2, 14, 13, 4, 0] [2, 14, 4, 0] ----------------- = ------------- [8, 13, 12] [8, 12] [4, 1, 13, 0, 0] [4, 1, 0, 0] ---------------- = ------------ [8, 13, 12] [8, 12] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 15, 1] [2, 15, 11, 0] [2, 11, 0] -------------- = ---------- [8, 15, 1] [8, 1] [5, 15, 6, 0] [5, 6, 0] ------------- = --------- [8, 15, 1] [8, 1] denominator=, [8, 15, 4] [2, 15, 12, 0] [2, 12, 0] -------------- = ---------- [8, 15, 4] [8, 4] [5, 15, 8, 0] [5, 8, 0] ------------- = --------- [8, 15, 4] [8, 4] [11, 15, 0, 0] [11, 0, 0] -------------- = ---------- [8, 15, 4] [8, 4] denominator=, [8, 15, 7] [15, 15, 0] [15, 0] ----------- = ------- [8, 15, 7] [8, 7] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [8, 15, 7] [8, 7] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [8, 15, 7] [8, 7] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [8, 15, 7] [8, 7] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [8, 15, 7] [8, 7] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [8, 15, 7] [8, 7] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [8, 15, 7] [8, 7] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [8, 15, 7] [8, 7] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [8, 15, 7] [8, 7] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [8, 15, 7] [8, 7] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [8, 15, 7] [8, 7] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [8, 15, 7] [8, 7] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [8, 15, 7] [8, 7] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [8, 15, 7] [8, 7] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [8, 15, 7] [8, 7] denominator=, [8, 15, 10] [2, 15, 14, 0] [2, 14, 0] -------------- = ---------- [8, 15, 10] [8, 10] [5, 15, 12, 0] [5, 12, 0] -------------- = ---------- [8, 15, 10] [8, 10] [11, 15, 8, 0] [11, 8, 0] -------------- = ---------- [8, 15, 10] [8, 10] [14, 15, 6, 0] [14, 6, 0] -------------- = ---------- [8, 15, 10] [8, 10] [1, 4, 15, 2, 0] [1, 4, 2, 0] ---------------- = ------------ [8, 15, 10] [8, 10] [1, 7, 15, 0, 0] [1, 7, 0, 0] ---------------- = ------------ [8, 15, 10] [8, 10] denominator=, [8, 15, 13] [2, 15, 15, 0] [2, 15, 0] -------------- = ---------- [8, 15, 13] [8, 13] [5, 15, 14, 0] [5, 14, 0] -------------- = ---------- [8, 15, 13] [8, 13] [11, 15, 12, 0] [11, 12, 0] --------------- = ----------- [8, 15, 13] [8, 13] [14, 15, 11, 0] [14, 11, 0] --------------- = ----------- [8, 15, 13] [8, 13] [1, 4, 15, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [8, 15, 13] [8, 13] [1, 7, 15, 8, 0] [1, 7, 8, 0] ---------------- = ------------ [8, 15, 13] [8, 13] [1, 13, 15, 6, 0] [1, 13, 6, 0] ----------------- = ------------- [8, 15, 13] [8, 13] [2, 0, 15, 5, 0] [2, 0, 5, 0] ---------------- = ------------ [8, 15, 13] [8, 13] [2, 6, 15, 3, 0] [2, 6, 3, 0] ---------------- = ------------ [8, 15, 13] [8, 13] [2, 9, 15, 2, 0] [2, 9, 2, 0] ---------------- = ------------ [8, 15, 13] [8, 13] [2, 15, 15, 0, 0] [2, 15, 0, 0] ----------------- = ------------- [8, 15, 13] [8, 13] denominator=, [9, 5, 3] [5, 5, 4] [5, 4] --------- = ------ [9, 5, 3] [9, 3] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [9, 5, 3] [9, 3] [3, 5, 4, 8] [3, 4, 8] ------------ = --------- [9, 5, 3] [9, 3] [4, 5, 4, 4] [4, 4, 4] ------------ = --------- [9, 5, 3] [9, 3] [5, 5, 4, 0] [5, 4, 0] ------------ = --------- [9, 5, 3] [9, 3] [6, 5, 3, 12] [6, 3, 12] ------------- = ---------- [9, 5, 3] [9, 3] [7, 5, 3, 8] [7, 3, 8] ------------ = --------- [9, 5, 3] [9, 3] [8, 5, 3, 4] [8, 3, 4] ------------ = --------- [9, 5, 3] [9, 3] [10, 5, 2, 12] [10, 2, 12] -------------- = ----------- [9, 5, 3] [9, 3] [11, 5, 2, 8] [11, 2, 8] ------------- = ---------- [9, 5, 3] [9, 3] [12, 5, 2, 4] [12, 2, 4] ------------- = ---------- [9, 5, 3] [9, 3] [13, 5, 2, 0] [13, 2, 0] ------------- = ---------- [9, 5, 3] [9, 3] [14, 5, 1, 12] [14, 1, 12] -------------- = ----------- [9, 5, 3] [9, 3] [15, 5, 1, 8] [15, 1, 8] ------------- = ---------- [9, 5, 3] [9, 3] [1, 1, 5, 1, 0] [1, 1, 1, 0] --------------- = ------------ [9, 5, 3] [9, 3] [1, 2, 5, 0, 12] [1, 2, 0, 12] ---------------- = ------------- [9, 5, 3] [9, 3] [1, 3, 5, 0, 8] [1, 3, 0, 8] --------------- = ------------ [9, 5, 3] [9, 3] [1, 4, 5, 0, 4] [1, 4, 0, 4] --------------- = ------------ [9, 5, 3] [9, 3] [1, 5, 5, 0, 0] [1, 5, 0, 0] --------------- = ------------ [9, 5, 3] [9, 3] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [1, 9, 8, 8] [1, 8, 8] ------------ = --------- [9, 9, 3] [9, 3] [2, 9, 7, 13] [2, 7, 13] ------------- = ---------- [9, 9, 3] [9, 3] [4, 9, 6, 7] [4, 6, 7] ------------ = --------- [9, 9, 3] [9, 3] [5, 9, 5, 12] [5, 5, 12] ------------- = ---------- [9, 9, 3] [9, 3] [7, 9, 4, 6] [7, 4, 6] ------------ = --------- [9, 9, 3] [9, 3] [8, 9, 3, 11] [8, 3, 11] ------------- = ---------- [9, 9, 3] [9, 3] [10, 9, 2, 5] [10, 2, 5] ------------- = ---------- [9, 9, 3] [9, 3] [11, 9, 1, 10] [11, 1, 10] -------------- = ----------- [9, 9, 3] [9, 3] [13, 9, 0, 4] [13, 0, 4] ------------- = ---------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [9, 9, 6] [9, 6] [2, 9, 8, 10] [2, 8, 10] ------------- = ---------- [9, 9, 6] [9, 6] [4, 9, 7, 14] [4, 7, 14] ------------- = ---------- [9, 9, 6] [9, 6] [5, 9, 7, 8] [5, 7, 8] ------------ = --------- [9, 9, 6] [9, 6] [7, 9, 6, 12] [7, 6, 12] ------------- = ---------- [9, 9, 6] [9, 6] [8, 9, 6, 6] [8, 6, 6] ------------ = --------- [9, 9, 6] [9, 6] [10, 9, 5, 10] [10, 5, 10] -------------- = ----------- [9, 9, 6] [9, 6] [11, 9, 5, 4] [11, 5, 4] ------------- = ---------- [9, 9, 6] [9, 6] [13, 9, 4, 8] [13, 4, 8] ------------- = ---------- [9, 9, 6] [9, 6] [14, 9, 4, 2] [14, 4, 2] ------------- = ---------- [9, 9, 6] [9, 6] [1, 0, 9, 3, 6] [1, 0, 3, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 1, 9, 3, 0] [1, 1, 3, 0] --------------- = ------------ [9, 9, 6] [9, 6] [1, 3, 9, 2, 4] [1, 3, 2, 4] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 1, 14] [1, 4, 1, 14] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 1, 2] [1, 6, 1, 2] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 0, 12] [1, 7, 0, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [9, 12, 10] [9, 10] [1, 0, 12, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [9, 12, 10] [9, 10] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [9, 12, 10] [9, 10] [1, 14, 12, 4, 0] [1, 14, 4, 0] ----------------- = ------------- [9, 12, 10] [9, 10] [2, 5, 12, 2, 0] [2, 5, 2, 0] ---------------- = ------------ [9, 12, 10] [9, 10] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [9, 12, 10] [9, 10] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 15, 1] [15, 14, 8] [14, 8] ----------- = ------- [9, 15, 1] [9, 1] [1, 15, 13, 0] [1, 13, 0] -------------- = ---------- [9, 15, 1] [9, 1] [2, 15, 11, 8] [2, 11, 8] -------------- = ---------- [9, 15, 1] [9, 1] [3, 15, 10, 0] [3, 10, 0] -------------- = ---------- [9, 15, 1] [9, 1] [5, 15, 7, 0] [5, 7, 0] ------------- = --------- [9, 15, 1] [9, 1] [6, 15, 5, 8] [6, 5, 8] ------------- = --------- [9, 15, 1] [9, 1] [7, 15, 4, 0] [7, 4, 0] ------------- = --------- [9, 15, 1] [9, 1] [8, 15, 2, 8] [8, 2, 8] ------------- = --------- [9, 15, 1] [9, 1] denominator=, [9, 15, 6] [15, 15, 0] [15, 0] ----------- = ------- [9, 15, 6] [9, 6] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [9, 15, 6] [9, 6] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [9, 15, 6] [9, 6] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [9, 15, 6] [9, 6] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [9, 15, 6] [9, 6] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [9, 15, 6] [9, 6] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [9, 15, 6] [9, 6] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [9, 15, 6] [9, 6] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [9, 15, 6] [9, 6] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [9, 15, 6] [9, 6] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [9, 15, 6] [9, 6] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [9, 15, 6] [9, 6] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [9, 15, 6] [9, 6] denominator=, [9, 15, 11] [15, 15, 8] [15, 8] ----------- = ------- [9, 15, 11] [9, 11] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [9, 15, 11] [9, 11] [2, 15, 14, 8] [2, 14, 8] -------------- = ---------- [9, 15, 11] [9, 11] [3, 15, 14, 0] [3, 14, 0] -------------- = ---------- [9, 15, 11] [9, 11] [5, 15, 13, 0] [5, 13, 0] -------------- = ---------- [9, 15, 11] [9, 11] [6, 15, 12, 8] [6, 12, 8] -------------- = ---------- [9, 15, 11] [9, 11] [7, 15, 12, 0] [7, 12, 0] -------------- = ---------- [9, 15, 11] [9, 11] [8, 15, 11, 8] [8, 11, 8] -------------- = ---------- [9, 15, 11] [9, 11] [10, 15, 10, 8] [10, 10, 8] --------------- = ----------- [9, 15, 11] [9, 11] [11, 15, 10, 0] [11, 10, 0] --------------- = ----------- [9, 15, 11] [9, 11] [12, 15, 9, 8] [12, 9, 8] -------------- = ---------- [9, 15, 11] [9, 11] [13, 15, 9, 0] [13, 9, 0] -------------- = ---------- [9, 15, 11] [9, 11] [15, 15, 8, 0] [15, 8, 0] -------------- = ---------- [9, 15, 11] [9, 11] [1, 0, 15, 7, 8] [1, 0, 7, 8] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 1, 15, 7, 0] [1, 1, 7, 0] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 2, 15, 6, 8] [1, 2, 6, 8] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 4, 15, 5, 8] [1, 4, 5, 8] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 5, 15, 5, 0] [1, 5, 5, 0] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 6, 15, 4, 8] [1, 6, 4, 8] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 7, 15, 4, 0] [1, 7, 4, 0] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 9, 15, 3, 0] [1, 9, 3, 0] ---------------- = ------------ [9, 15, 11] [9, 11] [1, 10, 15, 2, 8] [1, 10, 2, 8] ----------------- = ------------- [9, 15, 11] [9, 11] [1, 11, 15, 2, 0] [1, 11, 2, 0] ----------------- = ------------- [9, 15, 11] [9, 11] [1, 12, 15, 1, 8] [1, 12, 1, 8] ----------------- = ------------- [9, 15, 11] [9, 11] [1, 14, 15, 0, 8] [1, 14, 0, 8] ----------------- = ------------- [9, 15, 11] [9, 11] [1, 15, 15, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [9, 15, 11] [9, 11] denominator=, [10, 3, 2] [1, 11, 3, 0, 0] [1, 11, 0, 0] ---------------- = ------------- [10, 3, 2] [10, 2] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [1, 10, 9, 5] [1, 9, 5] ------------- = --------- [10, 10, 2] [10, 2] [3, 10, 7, 11] [3, 7, 11] -------------- = ---------- [10, 10, 2] [10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] [7, 10, 4, 7] [7, 4, 7] ------------- = --------- [10, 10, 2] [10, 2] [9, 10, 2, 13] [9, 2, 13] -------------- = ---------- [10, 10, 2] [10, 2] [11, 10, 1, 3] [11, 1, 3] -------------- = ---------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [1, 10, 9, 10] [1, 9, 10] -------------- = ---------- [10, 10, 4] [10, 4] [3, 10, 8, 6] [3, 8, 6] ------------- = --------- [10, 10, 4] [10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [7, 10, 5, 14] [7, 5, 14] -------------- = ---------- [10, 10, 4] [10, 4] [9, 10, 4, 10] [9, 4, 10] -------------- = ---------- [10, 10, 4] [10, 4] [11, 10, 3, 6] [11, 3, 6] -------------- = ---------- [10, 10, 4] [10, 4] [13, 10, 2, 2] [13, 2, 2] -------------- = ---------- [10, 10, 4] [10, 4] [15, 10, 0, 14] [15, 0, 14] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 6] [1, 10, 9, 15] [1, 9, 15] -------------- = ---------- [10, 10, 6] [10, 6] [3, 10, 9, 1] [3, 9, 1] ------------- = --------- [10, 10, 6] [10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [7, 10, 7, 5] [7, 7, 5] ------------- = --------- [10, 10, 6] [10, 6] [9, 10, 6, 7] [9, 6, 7] ------------- = --------- [10, 10, 6] [10, 6] [11, 10, 5, 9] [11, 5, 9] -------------- = ---------- [10, 10, 6] [10, 6] [13, 10, 4, 11] [13, 4, 11] --------------- = ----------- [10, 10, 6] [10, 6] [15, 10, 3, 13] [15, 3, 13] --------------- = ----------- [10, 10, 6] [10, 6] [1, 1, 10, 2, 15] [1, 1, 2, 15] ----------------- = ------------- [10, 10, 6] [10, 6] [1, 3, 10, 2, 1] [1, 3, 2, 1] ---------------- = ------------ [10, 10, 6] [10, 6] [1, 5, 10, 1, 3] [1, 5, 1, 3] ---------------- = ------------ [10, 10, 6] [10, 6] [1, 7, 10, 0, 5] [1, 7, 0, 5] ---------------- = ------------ [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [10, 10, 8] [10, 8] [3, 10, 9, 12] [3, 9, 12] -------------- = ---------- [10, 10, 8] [10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [7, 10, 8, 12] [7, 8, 12] -------------- = ---------- [10, 10, 8] [10, 8] [9, 10, 8, 4] [9, 8, 4] ------------- = --------- [10, 10, 8] [10, 8] [11, 10, 7, 12] [11, 7, 12] --------------- = ----------- [10, 10, 8] [10, 8] [13, 10, 7, 4] [13, 7, 4] -------------- = ---------- [10, 10, 8] [10, 8] [15, 10, 6, 12] [15, 6, 12] --------------- = ----------- [10, 10, 8] [10, 8] [1, 1, 10, 6, 4] [1, 1, 6, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 3, 10, 5, 12] [1, 3, 5, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 5, 10, 5, 4] [1, 5, 5, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 7, 10, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 9, 10, 4, 4] [1, 9, 4, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 11, 10, 3, 12] [1, 11, 3, 12] ------------------ = -------------- [10, 10, 8] [10, 8] [1, 13, 10, 3, 4] [1, 13, 3, 4] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 15, 10, 2, 12] [1, 15, 2, 12] ------------------ = -------------- [10, 10, 8] [10, 8] [2, 1, 10, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 3, 10, 1, 12] [2, 3, 1, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 5, 10, 1, 4] [2, 5, 1, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 7, 10, 0, 12] [2, 7, 0, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 9, 10, 0, 4] [2, 9, 0, 4] ---------------- = ------------ [10, 10, 8] [10, 8] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 11, 8] [2, 1, 11, 0, 0] [2, 1, 0, 0] ---------------- = ------------ [10, 11, 8] [10, 8] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 12, 5] [1, 12, 11, 8] [1, 11, 8] -------------- = ---------- [10, 12, 5] [10, 5] denominator=, [10, 12, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [10, 12, 8] [10, 8] [1, 3, 12, 4, 0] [1, 3, 4, 0] ---------------- = ------------ [10, 12, 8] [10, 8] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [10, 12, 8] [10, 8] denominator=, [10, 12, 11] [1, 12, 12, 8] [1, 12, 8] -------------- = ---------- [10, 12, 11] [10, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [10, 12, 11] [10, 11] [7, 12, 11, 8] [7, 11, 8] -------------- = ---------- [10, 12, 11] [10, 11] [13, 12, 10, 8] [13, 10, 8] --------------- = ----------- [10, 12, 11] [10, 11] [1, 0, 12, 10, 0] [1, 0, 10, 0] ----------------- = ------------- [10, 12, 11] [10, 11] [1, 3, 12, 9, 8] [1, 3, 9, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [10, 12, 11] [10, 11] [1, 9, 12, 8, 8] [1, 9, 8, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [1, 12, 12, 8, 0] [1, 12, 8, 0] ----------------- = ------------- [10, 12, 11] [10, 11] [1, 15, 12, 7, 8] [1, 15, 7, 8] ----------------- = ------------- [10, 12, 11] [10, 11] [2, 2, 12, 7, 0] [2, 2, 7, 0] ---------------- = ------------ [10, 12, 11] [10, 11] [2, 8, 12, 6, 0] [2, 8, 6, 0] ---------------- = ------------ [10, 12, 11] [10, 11] [2, 11, 12, 5, 8] [2, 11, 5, 8] ----------------- = ------------- [10, 12, 11] [10, 11] [2, 14, 12, 5, 0] [2, 14, 5, 0] ----------------- = ------------- [10, 12, 11] [10, 11] [3, 1, 12, 4, 8] [3, 1, 4, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [3, 4, 12, 4, 0] [3, 4, 4, 0] ---------------- = ------------ [10, 12, 11] [10, 11] [3, 7, 12, 3, 8] [3, 7, 3, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [10, 12, 11] [10, 11] [3, 13, 12, 2, 8] [3, 13, 2, 8] ----------------- = ------------- [10, 12, 11] [10, 11] [4, 3, 12, 1, 8] [4, 3, 1, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [4, 6, 12, 1, 0] [4, 6, 1, 0] ---------------- = ------------ [10, 12, 11] [10, 11] [4, 9, 12, 0, 8] [4, 9, 0, 8] ---------------- = ------------ [10, 12, 11] [10, 11] [4, 12, 12, 0, 0] [4, 12, 0, 0] ----------------- = ------------- [10, 12, 11] [10, 11] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [10, 15, 5] [15, 15, 0] [15, 0] ----------- = ------- [10, 15, 5] [10, 5] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [10, 15, 5] [10, 5] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [10, 15, 5] [10, 5] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [10, 15, 5] [10, 5] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [10, 15, 5] [10, 5] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [10, 15, 5] [10, 5] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [10, 15, 5] [10, 5] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [10, 15, 5] [10, 5] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [10, 15, 5] [10, 5] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [10, 15, 5] [10, 5] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [10, 15, 5] [10, 5] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [10, 15, 5] [10, 5] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [10, 15, 5] [10, 5] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [10, 15, 5] [10, 5] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [10, 15, 5] [10, 5] denominator=, [11, 6, 4] [1, 14, 6, 0, 0] [1, 14, 0, 0] ---------------- = ------------- [11, 6, 4] [11, 4] denominator=, [11, 10, 4] [4, 10, 8, 0] [4, 8, 0] ------------- = --------- [11, 10, 4] [11, 4] [1, 2, 10, 0, 0] [1, 2, 0, 0] ---------------- = ------------ [11, 10, 4] [11, 4] denominator=, [11, 10, 6] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [11, 10, 6] [11, 6] [6, 10, 8, 0] [6, 8, 0] ------------- = --------- [11, 10, 6] [11, 6] [1, 0, 10, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [11, 10, 6] [11, 6] [1, 5, 10, 2, 0] [1, 5, 2, 0] ---------------- = ------------ [11, 10, 6] [11, 6] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [11, 10, 6] [11, 6] denominator=, [11, 10, 9] [4, 10, 10, 0] [4, 10, 0] -------------- = ---------- [11, 10, 9] [11, 9] [1, 2, 10, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [1, 9, 10, 7, 0] [1, 9, 7, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [2, 0, 10, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [2, 7, 10, 5, 0] [2, 7, 5, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [3, 5, 10, 3, 0] [3, 5, 3, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [3, 12, 10, 2, 0] [3, 12, 2, 0] ----------------- = ------------- [11, 10, 9] [11, 9] [4, 3, 10, 1, 0] [4, 3, 1, 0] ---------------- = ------------ [11, 10, 9] [11, 9] [4, 10, 10, 0, 0] [4, 10, 0, 0] ----------------- = ------------- [11, 10, 9] [11, 9] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 15, 1] [15, 14, 12] [14, 12] ------------ = -------- [11, 15, 1] [11, 1] [1, 15, 13, 8] [1, 13, 8] -------------- = ---------- [11, 15, 1] [11, 1] [3, 15, 11, 0] [3, 11, 0] -------------- = ---------- [11, 15, 1] [11, 1] [4, 15, 9, 12] [4, 9, 12] -------------- = ---------- [11, 15, 1] [11, 1] [6, 15, 7, 4] [6, 7, 4] ------------- = --------- [11, 15, 1] [11, 1] [7, 15, 6, 0] [7, 6, 0] ------------- = --------- [11, 15, 1] [11, 1] [9, 15, 3, 8] [9, 3, 8] ------------- = --------- [11, 15, 1] [11, 1] [10, 15, 2, 4] [10, 2, 4] -------------- = ---------- [11, 15, 1] [11, 1] denominator=, [11, 15, 4] [15, 15, 0] [15, 0] ----------- = ------- [11, 15, 4] [11, 4] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [11, 15, 4] [11, 4] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [11, 15, 4] [11, 4] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [11, 15, 4] [11, 4] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [11, 15, 4] [11, 4] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [11, 15, 4] [11, 4] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [11, 15, 4] [11, 4] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [11, 15, 4] [11, 4] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [11, 15, 4] [11, 4] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [11, 15, 4] [11, 4] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [11, 15, 4] [11, 4] denominator=, [11, 15, 7] [15, 15, 4] [15, 4] ----------- = ------- [11, 15, 7] [11, 7] [1, 15, 14, 8] [1, 14, 8] -------------- = ---------- [11, 15, 7] [11, 7] [3, 15, 13, 0] [3, 13, 0] -------------- = ---------- [11, 15, 7] [11, 7] [4, 15, 12, 4] [4, 12, 4] -------------- = ---------- [11, 15, 7] [11, 7] [6, 15, 10, 12] [6, 10, 12] --------------- = ----------- [11, 15, 7] [11, 7] [7, 15, 10, 0] [7, 10, 0] -------------- = ---------- [11, 15, 7] [11, 7] [9, 15, 8, 8] [9, 8, 8] ------------- = --------- [11, 15, 7] [11, 7] [10, 15, 7, 12] [10, 7, 12] --------------- = ----------- [11, 15, 7] [11, 7] [12, 15, 6, 4] [12, 6, 4] -------------- = ---------- [11, 15, 7] [11, 7] [13, 15, 5, 8] [13, 5, 8] -------------- = ---------- [11, 15, 7] [11, 7] [15, 15, 4, 0] [15, 4, 0] -------------- = ---------- [11, 15, 7] [11, 7] [1, 0, 15, 3, 4] [1, 0, 3, 4] ---------------- = ------------ [11, 15, 7] [11, 7] [1, 2, 15, 1, 12] [1, 2, 1, 12] ----------------- = ------------- [11, 15, 7] [11, 7] [1, 3, 15, 1, 0] [1, 3, 1, 0] ---------------- = ------------ [11, 15, 7] [11, 7] denominator=, [11, 15, 10] [15, 15, 8] [15, 8] ------------ = -------- [11, 15, 10] [11, 10] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [11, 15, 10] [11, 10] [3, 15, 14, 0] [3, 14, 0] -------------- = ---------- [11, 15, 10] [11, 10] [4, 15, 13, 8] [4, 13, 8] -------------- = ---------- [11, 15, 10] [11, 10] [6, 15, 12, 8] [6, 12, 8] -------------- = ---------- [11, 15, 10] [11, 10] [7, 15, 12, 0] [7, 12, 0] -------------- = ---------- [11, 15, 10] [11, 10] [9, 15, 11, 0] [9, 11, 0] -------------- = ---------- [11, 15, 10] [11, 10] [10, 15, 10, 8] [10, 10, 8] --------------- = ----------- [11, 15, 10] [11, 10] [12, 15, 9, 8] [12, 9, 8] -------------- = ---------- [11, 15, 10] [11, 10] [13, 15, 9, 0] [13, 9, 0] -------------- = ---------- [11, 15, 10] [11, 10] [15, 15, 8, 0] [15, 8, 0] -------------- = ---------- [11, 15, 10] [11, 10] [1, 0, 15, 7, 8] [1, 0, 7, 8] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 2, 15, 6, 8] [1, 2, 6, 8] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 3, 15, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 5, 15, 5, 0] [1, 5, 5, 0] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 6, 15, 4, 8] [1, 6, 4, 8] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 8, 15, 3, 8] [1, 8, 3, 8] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 9, 15, 3, 0] [1, 9, 3, 0] ---------------- = ------------ [11, 15, 10] [11, 10] [1, 11, 15, 2, 0] [1, 11, 2, 0] ----------------- = ------------- [11, 15, 10] [11, 10] [1, 12, 15, 1, 8] [1, 12, 1, 8] ----------------- = ------------- [11, 15, 10] [11, 10] [1, 14, 15, 0, 8] [1, 14, 0, 8] ----------------- = ------------- [11, 15, 10] [11, 10] [1, 15, 15, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [11, 15, 10] [11, 10] denominator=, [11, 15, 13] [15, 15, 12] [15, 12] ------------ = -------- [11, 15, 13] [11, 13] [1, 15, 15, 8] [1, 15, 8] -------------- = ---------- [11, 15, 13] [11, 13] [3, 15, 15, 0] [3, 15, 0] -------------- = ---------- [11, 15, 13] [11, 13] [4, 15, 14, 12] [4, 14, 12] --------------- = ----------- [11, 15, 13] [11, 13] [6, 15, 14, 4] [6, 14, 4] -------------- = ---------- [11, 15, 13] [11, 13] [7, 15, 14, 0] [7, 14, 0] -------------- = ---------- [11, 15, 13] [11, 13] [9, 15, 13, 8] [9, 13, 8] -------------- = ---------- [11, 15, 13] [11, 13] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [11, 15, 13] [11, 13] [12, 15, 12, 12] [12, 12, 12] ---------------- = ------------ [11, 15, 13] [11, 13] [13, 15, 12, 8] [13, 12, 8] --------------- = ----------- [11, 15, 13] [11, 13] [15, 15, 12, 0] [15, 12, 0] --------------- = ----------- [11, 15, 13] [11, 13] [1, 0, 15, 11, 12] [1, 0, 11, 12] ------------------ = -------------- [11, 15, 13] [11, 13] [1, 2, 15, 11, 4] [1, 2, 11, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 3, 15, 11, 0] [1, 3, 11, 0] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 5, 15, 10, 8] [1, 5, 10, 8] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 6, 15, 10, 4] [1, 6, 10, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 8, 15, 9, 12] [1, 8, 9, 12] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 9, 15, 9, 8] [1, 9, 9, 8] ---------------- = ------------ [11, 15, 13] [11, 13] [1, 11, 15, 9, 0] [1, 11, 9, 0] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 12, 15, 8, 12] [1, 12, 8, 12] ------------------ = -------------- [11, 15, 13] [11, 13] [1, 14, 15, 8, 4] [1, 14, 8, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [1, 15, 15, 8, 0] [1, 15, 8, 0] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 1, 15, 7, 8] [2, 1, 7, 8] ---------------- = ------------ [11, 15, 13] [11, 13] [2, 2, 15, 7, 4] [2, 2, 7, 4] ---------------- = ------------ [11, 15, 13] [11, 13] [2, 4, 15, 6, 12] [2, 4, 6, 12] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 5, 15, 6, 8] [2, 5, 6, 8] ---------------- = ------------ [11, 15, 13] [11, 13] [2, 7, 15, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [11, 15, 13] [11, 13] [2, 8, 15, 5, 12] [2, 8, 5, 12] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 10, 15, 5, 4] [2, 10, 5, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 11, 15, 5, 0] [2, 11, 5, 0] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 13, 15, 4, 8] [2, 13, 4, 8] ----------------- = ------------- [11, 15, 13] [11, 13] [2, 14, 15, 4, 4] [2, 14, 4, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [3, 0, 15, 3, 12] [3, 0, 3, 12] ----------------- = ------------- [11, 15, 13] [11, 13] [3, 1, 15, 3, 8] [3, 1, 3, 8] ---------------- = ------------ [11, 15, 13] [11, 13] [3, 3, 15, 3, 0] [3, 3, 3, 0] ---------------- = ------------ [11, 15, 13] [11, 13] [3, 4, 15, 2, 12] [3, 4, 2, 12] ----------------- = ------------- [11, 15, 13] [11, 13] [3, 6, 15, 2, 4] [3, 6, 2, 4] ---------------- = ------------ [11, 15, 13] [11, 13] [3, 7, 15, 2, 0] [3, 7, 2, 0] ---------------- = ------------ [11, 15, 13] [11, 13] [3, 9, 15, 1, 8] [3, 9, 1, 8] ---------------- = ------------ [11, 15, 13] [11, 13] [3, 10, 15, 1, 4] [3, 10, 1, 4] ----------------- = ------------- [11, 15, 13] [11, 13] [3, 12, 15, 0, 12] [3, 12, 0, 12] ------------------ = -------------- [11, 15, 13] [11, 13] [3, 13, 15, 0, 8] [3, 13, 0, 8] ----------------- = ------------- [11, 15, 13] [11, 13] [3, 15, 15, 0, 0] [3, 15, 0, 0] ----------------- = ------------- [11, 15, 13] [11, 13] denominator=, [12, 7, 6] [1, 13, 7, 4, 0] [1, 13, 4, 0] ---------------- = ------------- [12, 7, 6] [12, 6] [2, 14, 7, 2, 0] [2, 14, 2, 0] ---------------- = ------------- [12, 7, 6] [12, 6] [3, 15, 7, 0, 0] [3, 15, 0, 0] ---------------- = ------------- [12, 7, 6] [12, 6] denominator=, [12, 9, 4] [3, 9, 8, 0] [3, 8, 0] ------------ = --------- [12, 9, 4] [12, 4] [1, 5, 9, 0, 0] [1, 5, 0, 0] --------------- = ------------ [12, 9, 4] [12, 4] denominator=, [12, 9, 6] [5, 9, 8, 0] [5, 8, 0] ------------ = --------- [12, 9, 6] [12, 6] [1, 3, 9, 4, 0] [1, 3, 4, 0] --------------- = ------------ [12, 9, 6] [12, 6] [1, 10, 9, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [12, 9, 6] [12, 6] [2, 1, 9, 0, 0] [2, 1, 0, 0] --------------- = ------------ [12, 9, 6] [12, 6] denominator=, [12, 9, 9] [2, 1, 9, 8, 0] [2, 1, 8, 0] --------------- = ------------ [12, 9, 9] [12, 9] [3, 6, 9, 7, 0] [3, 6, 7, 0] --------------- = ------------ [12, 9, 9] [12, 9] [6, 0, 9, 5, 0] [6, 0, 5, 0] --------------- = ------------ [12, 9, 9] [12, 9] [7, 5, 9, 4, 0] [7, 5, 4, 0] --------------- = ------------ [12, 9, 9] [12, 9] [9, 15, 9, 2, 0] [9, 15, 2, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [11, 4, 9, 1, 0] [11, 4, 1, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [2, 12, 10, 7] [2, 10, 7] -------------- = ---------- [12, 12, 2] [12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] [10, 12, 3, 11] [10, 3, 11] --------------- = ----------- [12, 12, 2] [12, 2] [14, 12, 0, 5] [14, 0, 5] -------------- = ---------- [12, 12, 2] [12, 2] denominator=, [12, 12, 4] [1, 12, 11, 9] [1, 11, 9] -------------- = ---------- [12, 12, 4] [12, 4] [2, 12, 10, 14] [2, 10, 14] --------------- = ----------- [12, 12, 4] [12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [5, 12, 8, 13] [5, 8, 13] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [7, 12, 7, 7] [7, 7, 7] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [10, 12, 5, 6] [10, 5, 6] -------------- = ---------- [12, 12, 4] [12, 4] [11, 12, 4, 11] [11, 4, 11] --------------- = ----------- [12, 12, 4] [12, 4] [13, 12, 3, 5] [13, 3, 5] -------------- = ---------- [12, 12, 4] [12, 4] [14, 12, 2, 10] [14, 2, 10] --------------- = ----------- [12, 12, 4] [12, 4] [15, 12, 1, 15] [15, 1, 15] --------------- = ----------- [12, 12, 4] [12, 4] [1, 1, 12, 0, 9] [1, 1, 0, 9] ---------------- = ------------ [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 15] [14, 4, 15] --------------- = ----------- [12, 12, 6] [12, 6] [1, 2, 12, 2, 13] [1, 2, 2, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 0, 11] [1, 6, 0, 11] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [1, 12, 12, 2] [1, 12, 2] -------------- = ---------- [12, 12, 8] [12, 8] [2, 12, 11, 12] [2, 11, 12] --------------- = ----------- [12, 12, 8] [12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [5, 12, 10, 10] [5, 10, 10] --------------- = ----------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [7, 12, 9, 14] [7, 9, 14] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [10, 12, 8, 12] [10, 8, 12] --------------- = ----------- [12, 12, 8] [12, 8] [11, 12, 8, 6] [11, 8, 6] -------------- = ---------- [12, 12, 8] [12, 8] [13, 12, 7, 10] [13, 7, 10] --------------- = ----------- [12, 12, 8] [12, 8] [14, 12, 7, 4] [14, 7, 4] -------------- = ---------- [12, 12, 8] [12, 8] [15, 12, 6, 14] [15, 6, 14] --------------- = ----------- [12, 12, 8] [12, 8] [1, 1, 12, 6, 2] [1, 1, 6, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 2, 12, 5, 12] [1, 2, 5, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 3, 12, 5, 6] [1, 3, 5, 6] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 5, 12, 4, 10] [1, 5, 4, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 4, 4] [1, 6, 4, 4] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 7, 12, 3, 14] [1, 7, 3, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 9, 12, 3, 2] [1, 9, 3, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 10, 12, 2, 12] [1, 10, 2, 12] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 11, 12, 2, 6] [1, 11, 2, 6] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 13, 12, 1, 10] [1, 13, 1, 10] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 14, 12, 1, 4] [1, 14, 1, 4] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 15, 12, 0, 14] [1, 15, 0, 14] ------------------ = -------------- [12, 12, 8] [12, 8] [2, 1, 12, 0, 2] [2, 1, 0, 2] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [2, 12, 12, 3] [2, 12, 3] -------------- = ---------- [12, 12, 10] [12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [10, 12, 10, 7] [10, 10, 7] --------------- = ----------- [12, 12, 10] [12, 10] [14, 12, 9, 9] [14, 9, 9] -------------- = ---------- [12, 12, 10] [12, 10] [1, 2, 12, 8, 11] [1, 2, 8, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 6, 12, 7, 13] [1, 6, 7, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 15] [1, 10, 6, 15] ------------------ = -------------- [12, 12, 10] [12, 10] [1, 14, 12, 6, 1] [1, 14, 6, 1] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 2, 12, 5, 3] [2, 2, 5, 3] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 6, 12, 4, 5] [2, 6, 4, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 10, 12, 3, 7] [2, 10, 3, 7] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 14, 12, 2, 9] [2, 14, 2, 9] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 2, 12, 1, 11] [3, 2, 1, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 6, 12, 0, 13] [3, 6, 0, 13] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [12, 15, 3] [15, 15, 0] [15, 0] ----------- = ------- [12, 15, 3] [12, 3] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [12, 15, 3] [12, 3] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [12, 15, 3] [12, 3] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [12, 15, 3] [12, 3] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [12, 15, 3] [12, 3] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [12, 15, 3] [12, 3] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [12, 15, 3] [12, 3] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [12, 15, 3] [12, 3] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [12, 15, 3] [12, 3] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [12, 15, 3] [12, 3] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [12, 15, 3] [12, 3] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [12, 15, 3] [12, 3] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [12, 15, 3] [12, 3] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [12, 15, 3] [12, 3] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [12, 15, 3] [12, 3] denominator=, [13, 3, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [13, 3, 1] [13, 1] [4, 3, 2, 8] [4, 2, 8] ------------ = --------- [13, 3, 1] [13, 1] [7, 3, 2, 0] [7, 2, 0] ------------ = --------- [13, 3, 1] [13, 1] [10, 3, 1, 8] [10, 1, 8] ------------- = ---------- [13, 3, 1] [13, 1] [1, 0, 3, 0, 8] [1, 0, 0, 8] --------------- = ------------ [13, 3, 1] [13, 1] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [13, 3, 1] [13, 1] denominator=, [13, 3, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [13, 3, 2] [13, 2] [1, 8, 3, 1, 0] [1, 8, 1, 0] --------------- = ------------ [13, 3, 2] [13, 2] [2, 3, 3, 0, 0] [2, 3, 0, 0] --------------- = ------------ [13, 3, 2] [13, 2] denominator=, [13, 5, 2] [5, 5, 4] [5, 4] ---------- = ------- [13, 5, 2] [13, 2] [1, 5, 5, 0] [1, 5, 0] ------------ = --------- [13, 5, 2] [13, 2] [2, 5, 4, 12] [2, 4, 12] ------------- = ---------- [13, 5, 2] [13, 2] [4, 5, 4, 4] [4, 4, 4] ------------ = --------- [13, 5, 2] [13, 2] [5, 5, 4, 0] [5, 4, 0] ------------ = --------- [13, 5, 2] [13, 2] [6, 5, 3, 12] [6, 3, 12] ------------- = ---------- [13, 5, 2] [13, 2] [7, 5, 3, 8] [7, 3, 8] ------------ = --------- [13, 5, 2] [13, 2] [9, 5, 3, 0] [9, 3, 0] ------------ = --------- [13, 5, 2] [13, 2] [10, 5, 2, 12] [10, 2, 12] -------------- = ----------- [13, 5, 2] [13, 2] [11, 5, 2, 8] [11, 2, 8] ------------- = ---------- [13, 5, 2] [13, 2] [12, 5, 2, 4] [12, 2, 4] ------------- = ---------- [13, 5, 2] [13, 2] [14, 5, 1, 12] [14, 1, 12] -------------- = ----------- [13, 5, 2] [13, 2] [15, 5, 1, 8] [15, 1, 8] ------------- = ---------- [13, 5, 2] [13, 2] [1, 0, 5, 1, 4] [1, 0, 1, 4] --------------- = ------------ [13, 5, 2] [13, 2] [1, 1, 5, 1, 0] [1, 1, 1, 0] --------------- = ------------ [13, 5, 2] [13, 2] [1, 3, 5, 0, 8] [1, 3, 0, 8] --------------- = ------------ [13, 5, 2] [13, 2] [1, 4, 5, 0, 4] [1, 4, 0, 4] --------------- = ------------ [13, 5, 2] [13, 2] [1, 5, 5, 0, 0] [1, 5, 0, 0] --------------- = ------------ [13, 5, 2] [13, 2] denominator=, [13, 12, 8] [2, 4, 12, 0, 0] [2, 4, 0, 0] ---------------- = ------------ [13, 12, 8] [13, 8] denominator=, [13, 12, 11] [2, 4, 12, 8, 0] [2, 4, 8, 0] ---------------- = ------------ [13, 12, 11] [13, 11] [3, 11, 12, 5, 0] [3, 11, 5, 0] ----------------- = ------------- [13, 12, 11] [13, 11] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 14, 12] [2, 0, 14, 8, 0] [2, 0, 8, 0] ---------------- = ------------ [13, 14, 12] [13, 12] [3, 3, 14, 4, 0] [3, 3, 4, 0] ---------------- = ------------ [13, 14, 12] [13, 12] [4, 6, 14, 0, 0] [4, 6, 0, 0] ---------------- = ------------ [13, 14, 12] [13, 12] denominator=, [13, 15, 2] [15, 15, 0] [15, 0] ----------- = ------- [13, 15, 2] [13, 2] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [13, 15, 2] [13, 2] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [13, 15, 2] [13, 2] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [13, 15, 2] [13, 2] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [13, 15, 2] [13, 2] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [13, 15, 2] [13, 2] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [13, 15, 2] [13, 2] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [13, 15, 2] [13, 2] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [13, 15, 2] [13, 2] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [13, 15, 2] [13, 2] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [13, 15, 2] [13, 2] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [13, 15, 2] [13, 2] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [13, 15, 2] [13, 2] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [13, 15, 2] [13, 2] denominator=, [13, 15, 9] [15, 15, 8] [15, 8] ----------- = ------- [13, 15, 9] [13, 9] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [13, 15, 9] [13, 9] [2, 15, 14, 8] [2, 14, 8] -------------- = ---------- [13, 15, 9] [13, 9] [3, 15, 14, 0] [3, 14, 0] -------------- = ---------- [13, 15, 9] [13, 9] [4, 15, 13, 8] [4, 13, 8] -------------- = ---------- [13, 15, 9] [13, 9] [5, 15, 13, 0] [5, 13, 0] -------------- = ---------- [13, 15, 9] [13, 9] [7, 15, 12, 0] [7, 12, 0] -------------- = ---------- [13, 15, 9] [13, 9] [8, 15, 11, 8] [8, 11, 8] -------------- = ---------- [13, 15, 9] [13, 9] [9, 15, 11, 0] [9, 11, 0] -------------- = ---------- [13, 15, 9] [13, 9] [10, 15, 10, 8] [10, 10, 8] --------------- = ----------- [13, 15, 9] [13, 9] [11, 15, 10, 0] [11, 10, 0] --------------- = ----------- [13, 15, 9] [13, 9] [12, 15, 9, 8] [12, 9, 8] -------------- = ---------- [13, 15, 9] [13, 9] [14, 15, 8, 8] [14, 8, 8] -------------- = ---------- [13, 15, 9] [13, 9] [15, 15, 8, 0] [15, 8, 0] -------------- = ---------- [13, 15, 9] [13, 9] [1, 0, 15, 7, 8] [1, 0, 7, 8] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 1, 15, 7, 0] [1, 1, 7, 0] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 2, 15, 6, 8] [1, 2, 6, 8] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 3, 15, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 5, 15, 5, 0] [1, 5, 5, 0] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 6, 15, 4, 8] [1, 6, 4, 8] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 7, 15, 4, 0] [1, 7, 4, 0] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 8, 15, 3, 8] [1, 8, 3, 8] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 9, 15, 3, 0] [1, 9, 3, 0] ---------------- = ------------ [13, 15, 9] [13, 9] [1, 10, 15, 2, 8] [1, 10, 2, 8] ----------------- = ------------- [13, 15, 9] [13, 9] [1, 12, 15, 1, 8] [1, 12, 1, 8] ----------------- = ------------- [13, 15, 9] [13, 9] [1, 13, 15, 1, 0] [1, 13, 1, 0] ----------------- = ------------- [13, 15, 9] [13, 9] [1, 14, 15, 0, 8] [1, 14, 0, 8] ----------------- = ------------- [13, 15, 9] [13, 9] [1, 15, 15, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [13, 15, 9] [13, 9] denominator=, [14, 6, 1] [6, 6, 4] [6, 4] ---------- = ------- [14, 6, 1] [14, 1] [1, 6, 5, 14] [1, 5, 14] ------------- = ---------- [14, 6, 1] [14, 1] [2, 6, 5, 8] [2, 5, 8] ------------ = --------- [14, 6, 1] [14, 1] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [14, 6, 1] [14, 1] [4, 6, 4, 12] [4, 4, 12] ------------- = ---------- [14, 6, 1] [14, 1] [6, 6, 4, 0] [6, 4, 0] ------------ = --------- [14, 6, 1] [14, 1] [7, 6, 3, 10] [7, 3, 10] ------------- = ---------- [14, 6, 1] [14, 1] [8, 6, 3, 4] [8, 3, 4] ------------ = --------- [14, 6, 1] [14, 1] [9, 6, 2, 14] [9, 2, 14] ------------- = ---------- [14, 6, 1] [14, 1] [10, 6, 2, 8] [10, 2, 8] ------------- = ---------- [14, 6, 1] [14, 1] [11, 6, 2, 2] [11, 2, 2] ------------- = ---------- [14, 6, 1] [14, 1] [12, 6, 1, 12] [12, 1, 12] -------------- = ----------- [14, 6, 1] [14, 1] [13, 6, 1, 6] [13, 1, 6] ------------- = ---------- [14, 6, 1] [14, 1] [15, 6, 0, 10] [15, 0, 10] -------------- = ----------- [14, 6, 1] [14, 1] [1, 0, 6, 0, 4] [1, 0, 0, 4] --------------- = ------------ [14, 6, 1] [14, 1] denominator=, [14, 6, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [14, 6, 4] [14, 4] [8, 6, 5, 0] [8, 5, 0] ------------ = --------- [14, 6, 4] [14, 4] [11, 6, 4, 8] [11, 4, 8] ------------- = ---------- [14, 6, 4] [14, 4] [1, 1, 6, 3, 8] [1, 1, 3, 8] --------------- = ------------ [14, 6, 4] [14, 4] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [14, 6, 4] [14, 4] [1, 10, 6, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [14, 6, 4] [14, 4] [1, 13, 6, 1, 8] [1, 13, 1, 8] ---------------- = ------------- [14, 6, 4] [14, 4] [2, 3, 6, 0, 8] [2, 3, 0, 8] --------------- = ------------ [14, 6, 4] [14, 4] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [14, 6, 4] [14, 4] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 10, 7] [10, 10, 8] [10, 8] ----------- = ------- [14, 10, 7] [14, 7] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [14, 10, 7] [14, 7] [2, 10, 10, 0] [2, 10, 0] -------------- = ---------- [14, 10, 7] [14, 7] [4, 10, 9, 8] [4, 9, 8] ------------- = --------- [14, 10, 7] [14, 7] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [14, 10, 7] [14, 7] [6, 10, 9, 0] [6, 9, 0] ------------- = --------- [14, 10, 7] [14, 7] [7, 10, 8, 12] [7, 8, 12] -------------- = ---------- [14, 10, 7] [14, 7] [8, 10, 8, 8] [8, 8, 8] ------------- = --------- [14, 10, 7] [14, 7] [9, 10, 8, 4] [9, 8, 4] ------------- = --------- [14, 10, 7] [14, 7] [10, 10, 8, 0] [10, 8, 0] -------------- = ---------- [14, 10, 7] [14, 7] [11, 10, 7, 12] [11, 7, 12] --------------- = ----------- [14, 10, 7] [14, 7] [12, 10, 7, 8] [12, 7, 8] -------------- = ---------- [14, 10, 7] [14, 7] [13, 10, 7, 4] [13, 7, 4] -------------- = ---------- [14, 10, 7] [14, 7] [15, 10, 6, 12] [15, 6, 12] --------------- = ----------- [14, 10, 7] [14, 7] [1, 0, 10, 6, 8] [1, 0, 6, 8] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 1, 10, 6, 4] [1, 1, 6, 4] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 2, 10, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 3, 10, 5, 12] [1, 3, 5, 12] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 4, 10, 5, 8] [1, 4, 5, 8] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 5, 10, 5, 4] [1, 5, 5, 4] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 6, 10, 5, 0] [1, 6, 5, 0] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 7, 10, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 8, 10, 4, 8] [1, 8, 4, 8] ---------------- = ------------ [14, 10, 7] [14, 7] [1, 10, 10, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 11, 10, 3, 12] [1, 11, 3, 12] ------------------ = -------------- [14, 10, 7] [14, 7] [1, 12, 10, 3, 8] [1, 12, 3, 8] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 13, 10, 3, 4] [1, 13, 3, 4] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 14, 10, 3, 0] [1, 14, 3, 0] ----------------- = ------------- [14, 10, 7] [14, 7] [1, 15, 10, 2, 12] [1, 15, 2, 12] ------------------ = -------------- [14, 10, 7] [14, 7] [2, 0, 10, 2, 8] [2, 0, 2, 8] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 1, 10, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 2, 10, 2, 0] [2, 2, 2, 0] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 3, 10, 1, 12] [2, 3, 1, 12] ----------------- = ------------- [14, 10, 7] [14, 7] [2, 5, 10, 1, 4] [2, 5, 1, 4] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 6, 10, 1, 0] [2, 6, 1, 0] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 7, 10, 0, 12] [2, 7, 0, 12] ----------------- = ------------- [14, 10, 7] [14, 7] [2, 8, 10, 0, 8] [2, 8, 0, 8] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 9, 10, 0, 4] [2, 9, 0, 4] ---------------- = ------------ [14, 10, 7] [14, 7] [2, 10, 10, 0, 0] [2, 10, 0, 0] ----------------- = ------------- [14, 10, 7] [14, 7] denominator=, [14, 11, 10] [1, 15, 11, 8, 0] [1, 15, 8, 0] ----------------- = ------------- [14, 11, 10] [14, 10] [3, 0, 11, 6, 0] [3, 0, 6, 0] ---------------- = ------------ [14, 11, 10] [14, 10] [4, 1, 11, 4, 0] [4, 1, 4, 0] ---------------- = ------------ [14, 11, 10] [14, 10] [5, 2, 11, 2, 0] [5, 2, 2, 0] ---------------- = ------------ [14, 11, 10] [14, 10] [6, 3, 11, 0, 0] [6, 3, 0, 0] ---------------- = ------------ [14, 11, 10] [14, 10] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 5, 14, 1, 13] [1, 5, 1, 13] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [1, 0, 14, 5, 15] [1, 0, 5, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 4, 14] [1, 2, 4, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 3, 13] [1, 4, 3, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 2, 12] [1, 6, 2, 12] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 1, 11] [1, 8, 1, 11] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 10, 14, 0, 10] [1, 10, 0, 10] ------------------ = -------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 5, 14, 4, 12] [1, 5, 4, 12] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 5, 14, 7, 11] [1, 5, 7, 11] ----------------- = ------------- [14, 14, 10] [14, 10] [2, 3, 14, 3, 1] [2, 3, 3, 1] ---------------- = ------------ [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 5, 14, 10, 10] [1, 5, 10, 10] ------------------ = -------------- [14, 14, 12] [14, 12] [2, 3, 14, 7, 14] [2, 3, 7, 14] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 1, 14, 5, 2] [3, 1, 5, 2] ---------------- = ------------ [14, 14, 12] [14, 12] [3, 15, 14, 2, 6] [3, 15, 2, 6] ----------------- = ------------- [14, 14, 12] [14, 12] denominator=, [14, 15, 1] [15, 15, 0] [15, 0] ----------- = ------- [14, 15, 1] [14, 1] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [14, 15, 1] [14, 1] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [14, 15, 1] [14, 1] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [14, 15, 1] [14, 1] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [14, 15, 1] [14, 1] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [14, 15, 1] [14, 1] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [14, 15, 1] [14, 1] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [14, 15, 1] [14, 1] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [14, 15, 1] [14, 1] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [14, 15, 1] [14, 1] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [14, 15, 1] [14, 1] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [14, 15, 1] [14, 1] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [14, 15, 1] [14, 1] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [14, 15, 1] [14, 1] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [14, 15, 1] [14, 1] denominator=, [14, 15, 4] [4, 15, 12, 0] [4, 12, 0] -------------- = ---------- [14, 15, 4] [14, 4] [9, 15, 8, 0] [9, 8, 0] ------------- = --------- [14, 15, 4] [14, 4] [1, 3, 15, 0, 0] [1, 3, 0, 0] ---------------- = ------------ [14, 15, 4] [14, 4] denominator=, [14, 15, 6] [2, 15, 14, 0] [2, 14, 0] -------------- = ---------- [14, 15, 6] [14, 6] [5, 15, 12, 0] [5, 12, 0] -------------- = ---------- [14, 15, 6] [14, 6] [8, 15, 10, 0] [8, 10, 0] -------------- = ---------- [14, 15, 6] [14, 6] [11, 15, 8, 0] [11, 8, 0] -------------- = ---------- [14, 15, 6] [14, 6] [1, 1, 15, 4, 0] [1, 1, 4, 0] ---------------- = ------------ [14, 15, 6] [14, 6] [1, 4, 15, 2, 0] [1, 4, 2, 0] ---------------- = ------------ [14, 15, 6] [14, 6] [1, 7, 15, 0, 0] [1, 7, 0, 0] ---------------- = ------------ [14, 15, 6] [14, 6] denominator=, [14, 15, 7] [4, 15, 13, 0] [4, 13, 0] -------------- = ---------- [14, 15, 7] [14, 7] [9, 15, 10, 0] [9, 10, 0] -------------- = ---------- [14, 15, 7] [14, 7] [1, 3, 15, 4, 0] [1, 3, 4, 0] ---------------- = ------------ [14, 15, 7] [14, 7] [1, 8, 15, 1, 0] [1, 8, 1, 0] ---------------- = ------------ [14, 15, 7] [14, 7] denominator=, [14, 15, 10] [4, 15, 14, 0] [4, 14, 0] -------------- = ---------- [14, 15, 10] [14, 10] [9, 15, 12, 0] [9, 12, 0] -------------- = ---------- [14, 15, 10] [14, 10] [1, 3, 15, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [14, 15, 10] [14, 10] [1, 8, 15, 6, 0] [1, 8, 6, 0] ---------------- = ------------ [14, 15, 10] [14, 10] [2, 2, 15, 2, 0] [2, 2, 2, 0] ---------------- = ------------ [14, 15, 10] [14, 10] [2, 7, 15, 0, 0] [2, 7, 0, 0] ---------------- = ------------ [14, 15, 10] [14, 10] denominator=, [14, 15, 11] [2, 15, 15, 0] [2, 15, 0] -------------- = ---------- [14, 15, 11] [14, 11] [5, 15, 14, 0] [5, 14, 0] -------------- = ---------- [14, 15, 11] [14, 11] [8, 15, 13, 0] [8, 13, 0] -------------- = ---------- [14, 15, 11] [14, 11] [11, 15, 12, 0] [11, 12, 0] --------------- = ----------- [14, 15, 11] [14, 11] [1, 1, 15, 10, 0] [1, 1, 10, 0] ----------------- = ------------- [14, 15, 11] [14, 11] [1, 4, 15, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [1, 7, 15, 8, 0] [1, 7, 8, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [1, 10, 15, 7, 0] [1, 10, 7, 0] ----------------- = ------------- [14, 15, 11] [14, 11] [2, 0, 15, 5, 0] [2, 0, 5, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [2, 3, 15, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [2, 6, 15, 3, 0] [2, 6, 3, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [2, 9, 15, 2, 0] [2, 9, 2, 0] ---------------- = ------------ [14, 15, 11] [14, 11] [2, 15, 15, 0, 0] [2, 15, 0, 0] ----------------- = ------------- [14, 15, 11] [14, 11] denominator=, [14, 15, 13] [4, 15, 15, 0] [4, 15, 0] -------------- = ---------- [14, 15, 13] [14, 13] [9, 15, 14, 0] [9, 14, 0] -------------- = ---------- [14, 15, 13] [14, 13] [1, 3, 15, 12, 0] [1, 3, 12, 0] ----------------- = ------------- [14, 15, 13] [14, 13] [1, 8, 15, 11, 0] [1, 8, 11, 0] ----------------- = ------------- [14, 15, 13] [14, 13] [2, 2, 15, 9, 0] [2, 2, 9, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [2, 7, 15, 8, 0] [2, 7, 8, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [3, 1, 15, 6, 0] [3, 1, 6, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [3, 6, 15, 5, 0] [3, 6, 5, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [4, 0, 15, 3, 0] [4, 0, 3, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [4, 5, 15, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [14, 15, 13] [14, 13] [4, 15, 15, 0, 0] [4, 15, 0, 0] ----------------- = ------------- [14, 15, 13] [14, 13] denominator=, [15, 6, 2] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [15, 6, 2] [15, 2] [8, 6, 4, 0] [8, 4, 0] ------------ = --------- [15, 6, 2] [15, 2] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [15, 6, 2] [15, 2] denominator=, [15, 6, 5] [4, 6, 6, 0] [4, 6, 0] ------------ = --------- [15, 6, 5] [15, 5] [1, 10, 6, 4, 0] [1, 10, 4, 0] ---------------- = ------------- [15, 6, 5] [15, 5] [2, 5, 6, 3, 0] [2, 5, 3, 0] --------------- = ------------ [15, 6, 5] [15, 5] [3, 0, 6, 2, 0] [3, 0, 2, 0] --------------- = ------------ [15, 6, 5] [15, 5] [3, 11, 6, 1, 0] [3, 11, 1, 0] ---------------- = ------------- [15, 6, 5] [15, 5] [4, 6, 6, 0, 0] [4, 6, 0, 0] --------------- = ------------ [15, 6, 5] [15, 5] denominator=, [15, 9, 0] [2, 9, 8, 0] [2, 8, 0] ------------ = --------- [15, 9, 0] [15, 0] denominator=, [15, 9, 3] [2, 9, 8, 8] [2, 8, 8] ------------ = --------- [15, 9, 3] [15, 3] denominator=, [15, 9, 6] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [15, 9, 6] [15, 6] [1, 12, 9, 3, 0] [1, 12, 3, 0] ---------------- = ------------- [15, 9, 6] [15, 6] [2, 9, 9, 0, 0] [2, 9, 0, 0] --------------- = ------------ [15, 9, 6] [15, 6] denominator=, [15, 9, 7] [9, 9, 8] [9, 8] ---------- = ------- [15, 9, 7] [15, 7] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [15, 9, 7] [15, 7] [6, 9, 8, 8] [6, 8, 8] ------------ = --------- [15, 9, 7] [15, 7] [9, 9, 8, 0] [9, 8, 0] ------------ = --------- [15, 9, 7] [15, 7] [12, 9, 7, 8] [12, 7, 8] ------------- = ---------- [15, 9, 7] [15, 7] [1, 2, 9, 6, 8] [1, 2, 6, 8] --------------- = ------------ [15, 9, 7] [15, 7] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [15, 9, 7] [15, 7] [1, 8, 9, 5, 8] [1, 8, 5, 8] --------------- = ------------ [15, 9, 7] [15, 7] [1, 11, 9, 5, 0] [1, 11, 5, 0] ---------------- = ------------- [15, 9, 7] [15, 7] [1, 14, 9, 4, 8] [1, 14, 4, 8] ---------------- = ------------- [15, 9, 7] [15, 7] [2, 1, 9, 4, 0] [2, 1, 4, 0] --------------- = ------------ [15, 9, 7] [15, 7] [2, 4, 9, 3, 8] [2, 4, 3, 8] --------------- = ------------ [15, 9, 7] [15, 7] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [15, 9, 7] [15, 7] [2, 10, 9, 2, 8] [2, 10, 2, 8] ---------------- = ------------- [15, 9, 7] [15, 7] [2, 13, 9, 2, 0] [2, 13, 2, 0] ---------------- = ------------- [15, 9, 7] [15, 7] [3, 0, 9, 1, 8] [3, 0, 1, 8] --------------- = ------------ [15, 9, 7] [15, 7] [3, 3, 9, 1, 0] [3, 3, 1, 0] --------------- = ------------ [15, 9, 7] [15, 7] [3, 9, 9, 0, 0] [3, 9, 0, 0] --------------- = ------------ [15, 9, 7] [15, 7] denominator=, [15, 9, 9] [2, 9, 9, 8] [2, 9, 8] ------------ = --------- [15, 9, 9] [15, 9] [1, 12, 9, 8, 8] [1, 12, 8, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [2, 9, 9, 8, 0] [2, 9, 8, 0] --------------- = ------------ [15, 9, 9] [15, 9] [4, 3, 9, 7, 0] [4, 3, 7, 0] --------------- = ------------ [15, 9, 9] [15, 9] [5, 0, 9, 6, 8] [5, 0, 6, 8] --------------- = ------------ [15, 9, 9] [15, 9] [6, 10, 9, 5, 8] [6, 10, 5, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [7, 7, 9, 5, 0] [7, 7, 5, 0] --------------- = ------------ [15, 9, 9] [15, 9] [9, 1, 9, 4, 0] [9, 1, 4, 0] --------------- = ------------ [15, 9, 9] [15, 9] [9, 14, 9, 3, 8] [9, 14, 3, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [11, 8, 9, 2, 8] [11, 8, 2, 8] ---------------- = ------------- [15, 9, 9] [15, 9] [12, 5, 9, 2, 0] [12, 5, 2, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [13, 15, 9, 1, 0] [13, 15, 1, 0] ----------------- = -------------- [15, 9, 9] [15, 9] [14, 12, 9, 0, 8] [14, 12, 0, 8] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 13, 12] [2, 0, 13, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [15, 13, 12] [15, 12] [3, 1, 13, 8, 0] [3, 1, 8, 0] ---------------- = ------------ [15, 13, 12] [15, 12] [4, 2, 13, 6, 0] [4, 2, 6, 0] ---------------- = ------------ [15, 13, 12] [15, 12] [5, 3, 13, 4, 0] [5, 3, 4, 0] ---------------- = ------------ [15, 13, 12] [15, 12] [6, 4, 13, 2, 0] [6, 4, 2, 0] ---------------- = ------------ [15, 13, 12] [15, 12] [7, 5, 13, 0, 0] [7, 5, 0, 0] ---------------- = ------------ [15, 13, 12] [15, 12] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 4, 0] [1, 5] [1] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 4] [5, 4] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 6, 0] [1, 9] [1] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 8, 0] [3, 9] [3] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [9, 9, 6] [9, 6] denominator=, [9, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [9, 9, 8] [9, 8] denominator=, [10, 8, 0] [2, 10] [2] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [10, 10, 8] [10, 8] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [15, 8, 0] [1, 15] [1] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 12, 0] [3, 15] [3] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 14, 0] [7, 15] [7] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 8] [1, 15, 15] [1, 15] ----------- = ------- [15, 15, 8] [15, 8] denominator=, [15, 15, 12] [3, 15, 15] [3, 15] ------------ = -------- [15, 15, 12] [15, 12] denominator=, [15, 15, 14] [7, 15, 15] [7, 15] ------------ = -------- [15, 15, 14] [15, 14] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [1, 15, 0] [1, 15] [15] ---------- = ------- [1, 15, 0] [15, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 7, 0] [3, 7] [7] --------- = ------ [3, 7, 0] [7, 0] denominator=, [3, 8, 0] [3, 8] [8] --------- = ------ [3, 8, 0] [8, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 10, 0] [3, 10] [10] ---------- = ------- [3, 10, 0] [10, 0] denominator=, [3, 11, 0] [3, 11] [11] ---------- = ------- [3, 11, 0] [11, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [3, 13, 0] [3, 13] [13] ---------- = ------- [3, 13, 0] [13, 0] denominator=, [3, 14, 0] [3, 14] [14] ---------- = ------- [3, 14, 0] [14, 0] denominator=, [3, 15, 0] [3, 15] [15] ---------- = ------- [3, 15, 0] [15, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] [1, 5, 0] [1, 0] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 4, 4] [1, 5, 1] [1, 1] --------- = ------ [5, 4, 4] [4, 4] denominator=, [5, 4, 8] [1, 5, 2] [1, 2] --------- = ------ [5, 4, 8] [4, 8] denominator=, [5, 4, 12] [1, 5, 3] [1, 3] ---------- = ------- [5, 4, 12] [4, 12] denominator=, [5, 5, 4] [1, 5, 5] [1, 5] --------- = ------ [5, 5, 4] [5, 4] [9, 5, 3] [9, 3] --------- = ------ [5, 5, 4] [5, 4] [13, 5, 2] [13, 2] ---------- = ------- [5, 5, 4] [5, 4] [1, 1, 5, 1] [1, 1, 1] ------------ = --------- [5, 5, 4] [5, 4] denominator=, [5, 9, 0] [5, 9] [9] --------- = ------ [5, 9, 0] [9, 0] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 11, 0] [5, 11] [11] ---------- = ------- [5, 11, 0] [11, 0] denominator=, [5, 12, 0] [5, 12] [12] ---------- = ------- [5, 12, 0] [12, 0] denominator=, [5, 13, 0] [5, 13] [13] ---------- = ------- [5, 13, 0] [13, 0] denominator=, [5, 14, 0] [5, 14] [14] ---------- = ------- [5, 14, 0] [14, 0] denominator=, [5, 15, 0] [5, 15] [15] ---------- = ------- [5, 15, 0] [15, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 5, 8] [2, 6, 1] [2, 1] --------- = ------ [6, 5, 8] [5, 8] denominator=, [6, 6, 4] [14, 6, 1] [14, 1] ---------- = ------- [6, 6, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [6, 14, 0] [6, 14] [14] ---------- = ------- [6, 14, 0] [14, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] [1, 9, 0] [1, 0] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 6, 6] [1, 9, 1] [1, 1] --------- = ------ [9, 6, 6] [6, 6] denominator=, [9, 6, 12] [1, 9, 2] [1, 2] ---------- = ------- [9, 6, 12] [6, 12] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 7, 2] [1, 9, 3] [1, 3] --------- = ------ [9, 7, 2] [7, 2] denominator=, [9, 7, 8] [1, 9, 4] [1, 4] --------- = ------ [9, 7, 8] [7, 8] denominator=, [9, 7, 14] [1, 9, 5] [1, 5] ---------- = ------- [9, 7, 14] [7, 14] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] [3, 9, 0] [3, 0] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 8, 4] [1, 9, 6] [1, 6] --------- = ------ [9, 8, 4] [8, 4] denominator=, [9, 8, 8] [3, 9, 3] [3, 3] --------- = ------ [9, 8, 8] [8, 8] denominator=, [9, 8, 10] [1, 9, 7] [1, 7] ---------- = ------- [9, 8, 10] [8, 10] denominator=, [9, 9, 6] [1, 9, 9] [1, 9] --------- = ------ [9, 9, 6] [9, 6] [1, 1, 9, 3] [1, 1, 3] ------------ = --------- [9, 9, 6] [9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [9, 9, 6] [9, 6] denominator=, [9, 9, 8] [3, 9, 9] [3, 9] --------- = ------ [9, 9, 8] [9, 8] [15, 9, 7] [15, 7] ---------- = ------- [9, 9, 8] [9, 8] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [9, 9, 8] [9, 8] [1, 11, 9, 5] [1, 11, 5] ------------- = ---------- [9, 9, 8] [9, 8] [2, 1, 9, 4] [2, 1, 4] ------------ = --------- [9, 9, 8] [9, 8] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [9, 9, 8] [9, 8] [2, 13, 9, 2] [2, 13, 2] ------------- = ---------- [9, 9, 8] [9, 8] [3, 3, 9, 1] [3, 3, 1] ------------ = --------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] [1, 10, 4] [1, 4] ---------- = ------ [10, 8, 0] [8, 0] [2, 10, 0] [2, 0] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 4] [2, 10, 1] [2, 1] ---------- = ------ [10, 8, 4] [8, 4] denominator=, [10, 8, 8] [2, 10, 2] [2, 2] ---------- = ------ [10, 8, 8] [8, 8] denominator=, [10, 8, 12] [2, 10, 3] [2, 3] ----------- = ------- [10, 8, 12] [8, 12] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] [2, 10, 4] [2, 4] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 9, 4] [2, 10, 5] [2, 5] ---------- = ------ [10, 9, 4] [9, 4] denominator=, [10, 9, 8] [2, 10, 6] [2, 6] ---------- = ------ [10, 9, 8] [9, 8] denominator=, [10, 9, 12] [2, 10, 7] [2, 7] ----------- = ------- [10, 9, 12] [9, 12] denominator=, [10, 10, 4] [2, 10, 9] [2, 9] ----------- = ------- [10, 10, 4] [10, 4] denominator=, [10, 10, 8] [2, 10, 10] [2, 10] ----------- = ------- [10, 10, 8] [10, 8] [6, 10, 9] [6, 9] ----------- = ------- [10, 10, 8] [10, 8] [14, 10, 7] [14, 7] ----------- = ------- [10, 10, 8] [10, 8] [1, 2, 10, 6] [1, 2, 6] ------------- = --------- [10, 10, 8] [10, 8] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [10, 10, 8] [10, 8] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [10, 10, 8] [10, 8] [1, 14, 10, 3] [1, 14, 3] -------------- = ---------- [10, 10, 8] [10, 8] [2, 2, 10, 2] [2, 2, 2] ------------- = --------- [10, 10, 8] [10, 8] [2, 6, 10, 1] [2, 6, 1] ------------- = --------- [10, 10, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 9, 10] [3, 11, 1] [3, 1] ----------- = ------- [11, 9, 10] [9, 10] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 8] [2, 1, 11, 1] [2, 1, 1] ------------- = --------- [11, 11, 8] [11, 8] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 15, 0] [11, 15] [15] ----------- = ------- [11, 15, 0] [15, 0] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] [1, 12, 2] [1, 2] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] [2, 12, 3] [2, 3] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] [4, 12, 2] [4, 2] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 11, 8] [4, 12, 5] [4, 5] ----------- = ------- [12, 11, 8] [11, 8] denominator=, [12, 12, 8] [4, 12, 11] [4, 11] ----------- = ------- [12, 12, 8] [12, 8] [1, 4, 12, 5] [1, 4, 5] ------------- = --------- [12, 12, 8] [12, 8] [1, 12, 12, 2] [1, 12, 2] -------------- = ---------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [2, 12, 12, 3] [2, 12, 3] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 9, 12] [1, 13, 5] [1, 5] ----------- = ------- [13, 9, 12] [9, 12] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 12] [4, 1, 13, 5] [4, 1, 5] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 15, 0] [13, 15] [15] ----------- = ------- [13, 15, 0] [15, 0] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 10, 8] [2, 14, 1] [2, 1] ----------- = ------- [14, 10, 8] [10, 8] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 14, 12] [4, 6, 14, 1] [4, 6, 1] ------------- = --------- [14, 14, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [15, 1, 0] [15, 1] [1] ---------- = ------ [15, 1, 0] [1, 0] denominator=, [15, 2, 0] [15, 2] [2] ---------- = ------ [15, 2, 0] [2, 0] denominator=, [15, 3, 0] [15, 3] [3] ---------- = ------ [15, 3, 0] [3, 0] denominator=, [15, 4, 0] [15, 4] [4] ---------- = ------ [15, 4, 0] [4, 0] denominator=, [15, 5, 0] [15, 5] [5] ---------- = ------ [15, 5, 0] [5, 0] denominator=, [15, 6, 0] [15, 6] [6] ---------- = ------ [15, 6, 0] [6, 0] denominator=, [15, 7, 0] [15, 7] [7] ---------- = ------ [15, 7, 0] [7, 0] denominator=, [15, 8, 0] [15, 8] [8] ---------- = ------ [15, 8, 0] [8, 0] [1, 15, 0] [1, 0] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 8, 8] [1, 15, 1] [1, 1] ---------- = ------ [15, 8, 8] [8, 8] denominator=, [15, 9, 0] [15, 9] [9] ---------- = ------ [15, 9, 0] [9, 0] [1, 15, 2] [1, 2] ---------- = ------ [15, 9, 0] [9, 0] denominator=, [15, 9, 8] [1, 15, 3] [1, 3] ---------- = ------ [15, 9, 8] [9, 8] denominator=, [15, 10, 0] [15, 10] [10] ----------- = ------- [15, 10, 0] [10, 0] [1, 15, 4] [1, 4] ----------- = ------- [15, 10, 0] [10, 0] denominator=, [15, 10, 8] [1, 15, 5] [1, 5] ----------- = ------- [15, 10, 8] [10, 8] denominator=, [15, 11, 0] [15, 11] [11] ----------- = ------- [15, 11, 0] [11, 0] [1, 15, 6] [1, 6] ----------- = ------- [15, 11, 0] [11, 0] [2, 15, 1] [2, 1] ----------- = ------- [15, 11, 0] [11, 0] denominator=, [15, 11, 8] [1, 15, 7] [1, 7] ----------- = ------- [15, 11, 8] [11, 8] denominator=, [15, 12, 0] [15, 12] [12] ----------- = ------- [15, 12, 0] [12, 0] [1, 15, 8] [1, 8] ----------- = ------- [15, 12, 0] [12, 0] [2, 15, 4] [2, 4] ----------- = ------- [15, 12, 0] [12, 0] [3, 15, 0] [3, 0] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 12, 4] [3, 15, 1] [3, 1] ----------- = ------- [15, 12, 4] [12, 4] denominator=, [15, 12, 8] [1, 15, 9] [1, 9] ----------- = ------- [15, 12, 8] [12, 8] [3, 15, 2] [3, 2] ----------- = ------- [15, 12, 8] [12, 8] denominator=, [15, 12, 12] [3, 15, 3] [3, 3] ------------ = -------- [15, 12, 12] [12, 12] denominator=, [15, 13, 0] [15, 13] [13] ----------- = ------- [15, 13, 0] [13, 0] [1, 15, 10] [1, 10] ----------- = ------- [15, 13, 0] [13, 0] [2, 15, 7] [2, 7] ----------- = ------- [15, 13, 0] [13, 0] [3, 15, 4] [3, 4] ----------- = ------- [15, 13, 0] [13, 0] [4, 15, 1] [4, 1] ----------- = ------- [15, 13, 0] [13, 0] denominator=, [15, 13, 4] [3, 15, 5] [3, 5] ----------- = ------- [15, 13, 4] [13, 4] denominator=, [15, 13, 8] [1, 15, 11] [1, 11] ----------- = ------- [15, 13, 8] [13, 8] [3, 15, 6] [3, 6] ----------- = ------- [15, 13, 8] [13, 8] [5, 15, 1] [5, 1] ----------- = ------- [15, 13, 8] [13, 8] denominator=, [15, 13, 12] [3, 15, 7] [3, 7] ------------ = -------- [15, 13, 12] [13, 12] denominator=, [15, 14, 0] [15, 14] [14] ----------- = ------- [15, 14, 0] [14, 0] [1, 15, 12] [1, 12] ----------- = ------- [15, 14, 0] [14, 0] [2, 15, 10] [2, 10] ----------- = ------- [15, 14, 0] [14, 0] [3, 15, 8] [3, 8] ----------- = ------- [15, 14, 0] [14, 0] [4, 15, 6] [4, 6] ----------- = ------- [15, 14, 0] [14, 0] [5, 15, 4] [5, 4] ----------- = ------- [15, 14, 0] [14, 0] [6, 15, 2] [6, 2] ----------- = ------- [15, 14, 0] [14, 0] [7, 15, 0] [7, 0] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 14, 2] [7, 15, 1] [7, 1] ----------- = ------- [15, 14, 2] [14, 2] denominator=, [15, 14, 4] [3, 15, 9] [3, 9] ----------- = ------- [15, 14, 4] [14, 4] [7, 15, 2] [7, 2] ----------- = ------- [15, 14, 4] [14, 4] denominator=, [15, 14, 6] [7, 15, 3] [7, 3] ----------- = ------- [15, 14, 6] [14, 6] denominator=, [15, 14, 8] [1, 15, 13] [1, 13] ----------- = ------- [15, 14, 8] [14, 8] [3, 15, 10] [3, 10] ----------- = ------- [15, 14, 8] [14, 8] [5, 15, 7] [5, 7] ----------- = ------- [15, 14, 8] [14, 8] [7, 15, 4] [7, 4] ----------- = ------- [15, 14, 8] [14, 8] [9, 15, 1] [9, 1] ----------- = ------- [15, 14, 8] [14, 8] denominator=, [15, 14, 10] [7, 15, 5] [7, 5] ------------ = -------- [15, 14, 10] [14, 10] denominator=, [15, 14, 12] [3, 15, 11] [3, 11] ------------ = -------- [15, 14, 12] [14, 12] [7, 15, 6] [7, 6] ------------ = -------- [15, 14, 12] [14, 12] [11, 15, 1] [11, 1] ------------ = -------- [15, 14, 12] [14, 12] denominator=, [15, 14, 14] [7, 15, 7] [7, 7] ------------ = -------- [15, 14, 14] [14, 14] denominator=, [15, 15, 2] [7, 15, 9] [7, 9] ----------- = ------- [15, 15, 2] [15, 2] denominator=, [15, 15, 4] [3, 15, 13] [3, 13] ----------- = ------- [15, 15, 4] [15, 4] [7, 15, 10] [7, 10] ----------- = ------- [15, 15, 4] [15, 4] [11, 15, 7] [11, 7] ----------- = ------- [15, 15, 4] [15, 4] [1, 3, 15, 1] [1, 3, 1] ------------- = --------- [15, 15, 4] [15, 4] denominator=, [15, 15, 6] [7, 15, 11] [7, 11] ----------- = ------- [15, 15, 6] [15, 6] [1, 7, 15, 1] [1, 7, 1] ------------- = --------- [15, 15, 6] [15, 6] denominator=, [15, 15, 8] [1, 15, 15] [1, 15] ----------- = ------- [15, 15, 8] [15, 8] [3, 15, 14] [3, 14] ----------- = ------- [15, 15, 8] [15, 8] [5, 15, 13] [5, 13] ----------- = ------- [15, 15, 8] [15, 8] [7, 15, 12] [7, 12] ----------- = ------- [15, 15, 8] [15, 8] [9, 15, 11] [9, 11] ----------- = ------- [15, 15, 8] [15, 8] [11, 15, 10] [11, 10] ------------ = -------- [15, 15, 8] [15, 8] [13, 15, 9] [13, 9] ----------- = ------- [15, 15, 8] [15, 8] [1, 1, 15, 7] [1, 1, 7] ------------- = --------- [15, 15, 8] [15, 8] [1, 3, 15, 6] [1, 3, 6] ------------- = --------- [15, 15, 8] [15, 8] [1, 5, 15, 5] [1, 5, 5] ------------- = --------- [15, 15, 8] [15, 8] [1, 7, 15, 4] [1, 7, 4] ------------- = --------- [15, 15, 8] [15, 8] [1, 9, 15, 3] [1, 9, 3] ------------- = --------- [15, 15, 8] [15, 8] [1, 11, 15, 2] [1, 11, 2] -------------- = ---------- [15, 15, 8] [15, 8] [1, 13, 15, 1] [1, 13, 1] -------------- = ---------- [15, 15, 8] [15, 8] denominator=, [15, 15, 10] [7, 15, 13] [7, 13] ------------ = -------- [15, 15, 10] [15, 10] [1, 7, 15, 7] [1, 7, 7] ------------- = --------- [15, 15, 10] [15, 10] [2, 7, 15, 1] [2, 7, 1] ------------- = --------- [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [3, 15, 15] [3, 15] ------------ = -------- [15, 15, 12] [15, 12] [7, 15, 14] [7, 14] ------------ = -------- [15, 15, 12] [15, 12] [11, 15, 13] [11, 13] ------------ = -------- [15, 15, 12] [15, 12] [1, 3, 15, 11] [1, 3, 11] -------------- = ---------- [15, 15, 12] [15, 12] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [15, 15, 12] [15, 12] [1, 11, 15, 9] [1, 11, 9] -------------- = ---------- [15, 15, 12] [15, 12] [2, 3, 15, 7] [2, 3, 7] ------------- = --------- [15, 15, 12] [15, 12] [2, 7, 15, 6] [2, 7, 6] ------------- = --------- [15, 15, 12] [15, 12] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [15, 15, 12] [15, 12] [3, 3, 15, 3] [3, 3, 3] ------------- = --------- [15, 15, 12] [15, 12] [3, 7, 15, 2] [3, 7, 2] ------------- = --------- [15, 15, 12] [15, 12] [3, 11, 15, 1] [3, 11, 1] -------------- = ---------- [15, 15, 12] [15, 12] denominator=, [15, 15, 14] [7, 15, 15] [7, 15] ------------ = -------- [15, 15, 14] [15, 14] [1, 7, 15, 13] [1, 7, 13] -------------- = ---------- [15, 15, 14] [15, 14] [2, 7, 15, 11] [2, 7, 11] -------------- = ---------- [15, 15, 14] [15, 14] [3, 7, 15, 9] [3, 7, 9] ------------- = --------- [15, 15, 14] [15, 14] [4, 7, 15, 7] [4, 7, 7] ------------- = --------- [15, 15, 14] [15, 14] [5, 7, 15, 5] [5, 7, 5] ------------- = --------- [15, 15, 14] [15, 14] [6, 7, 15, 3] [6, 7, 3] ------------- = --------- [15, 15, 14] [15, 14] [7, 7, 15, 1] [7, 7, 1] ------------- = --------- [15, 15, 14] [15, 14] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 16, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [4, 3, 8] [1, 4, 0, 10] [1, 0, 10] ------------- = ---------- [4, 3, 8] [3, 8] denominator=, [4, 3, 12] [1, 4, 1, 13] [1, 1, 13] ------------- = ---------- [4, 3, 12] [3, 12] denominator=, [4, 3, 14] [2, 4, 0, 15] [2, 0, 15] ------------- = ---------- [4, 3, 14] [3, 14] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 15] [6, 0, 15] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [6, 4, 10] [1, 6, 0, 3] [1, 0, 3] ------------ = --------- [6, 4, 10] [4, 10] denominator=, [6, 4, 12] [1, 6, 0, 10] [1, 0, 10] ------------- = ---------- [6, 4, 12] [4, 12] denominator=, [6, 4, 14] [1, 6, 1, 1] [1, 1, 1] ------------ = --------- [6, 4, 14] [4, 14] denominator=, [6, 5, 0] [1, 6, 1, 8] [1, 1, 8] ------------ = --------- [6, 5, 0] [5, 0] denominator=, [6, 5, 2] [1, 6, 1, 15] [1, 1, 15] ------------- = ---------- [6, 5, 2] [5, 2] denominator=, [6, 5, 4] [1, 6, 2, 6] [1, 2, 6] ------------ = --------- [6, 5, 4] [5, 4] denominator=, [6, 5, 6] [1, 6, 2, 13] [1, 2, 13] ------------- = ---------- [6, 5, 6] [5, 6] denominator=, [6, 5, 8] [1, 6, 3, 4] [1, 3, 4] ------------ = --------- [6, 5, 8] [5, 8] denominator=, [6, 5, 10] [1, 6, 3, 11] [1, 3, 11] ------------- = ---------- [6, 5, 10] [5, 10] denominator=, [6, 5, 12] [1, 6, 4, 2] [1, 4, 2] ------------ = --------- [6, 5, 12] [5, 12] [3, 6, 0, 14] [3, 0, 14] ------------- = ---------- [6, 5, 12] [5, 12] denominator=, [6, 5, 14] [1, 6, 4, 9] [1, 4, 9] ------------ = --------- [6, 5, 14] [5, 14] [3, 6, 1, 15] [3, 1, 15] ------------- = ---------- [6, 5, 14] [5, 14] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [1, 6, 5, 7] [1, 5, 7] ------------ = --------- [6, 6, 2] [6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] [5, 6, 2, 11] [5, 2, 11] ------------- = ---------- [6, 6, 2] [6, 2] [7, 6, 1, 5] [7, 1, 5] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 4] [1, 6, 5, 14] [1, 5, 14] ------------- = ---------- [6, 6, 4] [6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [5, 6, 4, 6] [5, 4, 6] ------------ = --------- [6, 6, 4] [6, 4] [7, 6, 3, 10] [7, 3, 10] ------------- = ---------- [6, 6, 4] [6, 4] [9, 6, 2, 14] [9, 2, 14] ------------- = ---------- [6, 6, 4] [6, 4] [11, 6, 2, 2] [11, 2, 2] ------------- = ---------- [6, 6, 4] [6, 4] [13, 6, 1, 6] [13, 1, 6] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 10] [15, 0, 10] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [7, 5, 4] [1, 7, 0, 8] [1, 0, 8] ------------ = --------- [7, 5, 4] [5, 4] denominator=, [7, 5, 11] [1, 7, 1, 14] [1, 1, 14] ------------- = ---------- [7, 5, 11] [5, 11] denominator=, [7, 6, 2] [1, 7, 3, 4] [1, 3, 4] ------------ = --------- [7, 6, 2] [6, 2] [2, 7, 0, 6] [2, 0, 6] ------------ = --------- [7, 6, 2] [6, 2] denominator=, [7, 6, 9] [1, 7, 4, 10] [1, 4, 10] ------------- = ---------- [7, 6, 9] [6, 9] [2, 7, 2, 11] [2, 2, 11] ------------- = ---------- [7, 6, 9] [6, 9] [3, 7, 0, 12] [3, 0, 12] ------------- = ---------- [7, 6, 9] [6, 9] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 6, 0] [1, 8, 1, 4] [1, 1, 4] ------------ = --------- [8, 6, 0] [6, 0] denominator=, [8, 6, 8] [1, 8, 2, 11] [1, 2, 11] ------------- = ---------- [8, 6, 8] [6, 8] denominator=, [8, 6, 12] [2, 8, 0, 1] [2, 0, 1] ------------ = --------- [8, 6, 12] [6, 12] denominator=, [8, 7, 0] [1, 8, 4, 2] [1, 4, 2] ------------ = --------- [8, 7, 0] [7, 0] [2, 8, 1, 4] [2, 1, 4] ------------ = --------- [8, 7, 0] [7, 0] denominator=, [8, 7, 4] [2, 8, 2, 7] [2, 2, 7] ------------ = --------- [8, 7, 4] [7, 4] denominator=, [8, 7, 8] [1, 8, 5, 9] [1, 5, 9] ------------ = --------- [8, 7, 8] [7, 8] [2, 8, 3, 10] [2, 3, 10] ------------- = ---------- [8, 7, 8] [7, 8] [3, 8, 1, 11] [3, 1, 11] ------------- = ---------- [8, 7, 8] [7, 8] denominator=, [8, 7, 10] [4, 8, 0, 13] [4, 0, 13] ------------- = ---------- [8, 7, 10] [7, 10] denominator=, [8, 7, 12] [2, 8, 4, 13] [2, 4, 13] ------------- = ---------- [8, 7, 12] [7, 12] [4, 8, 1, 14] [4, 1, 14] ------------- = ---------- [8, 7, 12] [7, 12] denominator=, [8, 7, 14] [4, 8, 2, 15] [4, 2, 15] ------------- = ---------- [8, 7, 14] [7, 14] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 15] [10, 2, 15] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 14] [12, 1, 14] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 13] [14, 0, 13] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 13] [12, 4, 13] -------------- = ----------- [8, 8, 6] [8, 6] [1, 4, 8, 2, 7] [1, 4, 2, 7] --------------- = ------------ [8, 8, 6] [8, 6] [1, 12, 8, 0, 1] [1, 12, 0, 1] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [9, 6, 0] [1, 9, 0, 0] [1, 0, 0] ------------ = --------- [9, 6, 0] [6, 0] denominator=, [9, 6, 3] [1, 9, 0, 8] [1, 0, 8] ------------ = --------- [9, 6, 3] [6, 3] denominator=, [9, 6, 6] [1, 9, 1, 0] [1, 1, 0] ------------ = --------- [9, 6, 6] [6, 6] denominator=, [9, 6, 9] [1, 9, 1, 8] [1, 1, 8] ------------ = --------- [9, 6, 9] [6, 9] denominator=, [9, 6, 12] [1, 9, 2, 0] [1, 2, 0] ------------ = --------- [9, 6, 12] [6, 12] denominator=, [9, 6, 15] [1, 9, 2, 8] [1, 2, 8] ------------ = --------- [9, 6, 15] [6, 15] denominator=, [9, 7, 2] [1, 9, 3, 0] [1, 3, 0] ------------ = --------- [9, 7, 2] [7, 2] denominator=, [9, 7, 5] [1, 9, 3, 8] [1, 3, 8] ------------ = --------- [9, 7, 5] [7, 5] denominator=, [9, 7, 8] [1, 9, 4, 0] [1, 4, 0] ------------ = --------- [9, 7, 8] [7, 8] [2, 9, 0, 8] [2, 0, 8] ------------ = --------- [9, 7, 8] [7, 8] denominator=, [9, 7, 11] [1, 9, 4, 8] [1, 4, 8] ------------ = --------- [9, 7, 11] [7, 11] [2, 9, 1, 5] [2, 1, 5] ------------ = --------- [9, 7, 11] [7, 11] denominator=, [9, 7, 14] [1, 9, 5, 0] [1, 5, 0] ------------ = --------- [9, 7, 14] [7, 14] [2, 9, 2, 2] [2, 2, 2] ------------ = --------- [9, 7, 14] [7, 14] denominator=, [9, 8, 1] [1, 9, 5, 8] [1, 5, 8] ------------ = --------- [9, 8, 1] [8, 1] [2, 9, 2, 15] [2, 2, 15] ------------- = ---------- [9, 8, 1] [8, 1] denominator=, [9, 8, 4] [1, 9, 6, 0] [1, 6, 0] ------------ = --------- [9, 8, 4] [8, 4] [2, 9, 3, 12] [2, 3, 12] ------------- = ---------- [9, 8, 4] [8, 4] denominator=, [9, 8, 7] [1, 9, 6, 8] [1, 6, 8] ------------ = --------- [9, 8, 7] [8, 7] [2, 9, 4, 9] [2, 4, 9] ------------ = --------- [9, 8, 7] [8, 7] [4, 9, 0, 11] [4, 0, 11] ------------- = ---------- [9, 8, 7] [8, 7] denominator=, [9, 8, 10] [1, 9, 7, 0] [1, 7, 0] ------------ = --------- [9, 8, 10] [8, 10] [2, 9, 5, 6] [2, 5, 6] ------------ = --------- [9, 8, 10] [8, 10] [4, 9, 2, 2] [4, 2, 2] ------------ = --------- [9, 8, 10] [8, 10] [5, 9, 0, 8] [5, 0, 8] ------------ = --------- [9, 8, 10] [8, 10] denominator=, [9, 8, 13] [1, 9, 7, 8] [1, 7, 8] ------------ = --------- [9, 8, 13] [8, 13] [2, 9, 6, 3] [2, 6, 3] ------------ = --------- [9, 8, 13] [8, 13] [4, 9, 3, 9] [4, 3, 9] ------------ = --------- [9, 8, 13] [8, 13] [5, 9, 2, 4] [5, 2, 4] ------------ = --------- [9, 8, 13] [8, 13] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [1, 9, 8, 8] [1, 8, 8] ------------ = --------- [9, 9, 3] [9, 3] [2, 9, 7, 13] [2, 7, 13] ------------- = ---------- [9, 9, 3] [9, 3] [4, 9, 6, 7] [4, 6, 7] ------------ = --------- [9, 9, 3] [9, 3] [5, 9, 5, 12] [5, 5, 12] ------------- = ---------- [9, 9, 3] [9, 3] [7, 9, 4, 6] [7, 4, 6] ------------ = --------- [9, 9, 3] [9, 3] [8, 9, 3, 11] [8, 3, 11] ------------- = ---------- [9, 9, 3] [9, 3] [10, 9, 2, 5] [10, 2, 5] ------------- = ---------- [9, 9, 3] [9, 3] [11, 9, 1, 10] [11, 1, 10] -------------- = ----------- [9, 9, 3] [9, 3] [13, 9, 0, 4] [13, 0, 4] ------------- = ---------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [9, 9, 6] [9, 6] [2, 9, 8, 10] [2, 8, 10] ------------- = ---------- [9, 9, 6] [9, 6] [4, 9, 7, 14] [4, 7, 14] ------------- = ---------- [9, 9, 6] [9, 6] [5, 9, 7, 8] [5, 7, 8] ------------ = --------- [9, 9, 6] [9, 6] [7, 9, 6, 12] [7, 6, 12] ------------- = ---------- [9, 9, 6] [9, 6] [8, 9, 6, 6] [8, 6, 6] ------------ = --------- [9, 9, 6] [9, 6] [10, 9, 5, 10] [10, 5, 10] -------------- = ----------- [9, 9, 6] [9, 6] [11, 9, 5, 4] [11, 5, 4] ------------- = ---------- [9, 9, 6] [9, 6] [13, 9, 4, 8] [13, 4, 8] ------------- = ---------- [9, 9, 6] [9, 6] [14, 9, 4, 2] [14, 4, 2] ------------- = ---------- [9, 9, 6] [9, 6] [1, 0, 9, 3, 6] [1, 0, 3, 6] --------------- = ------------ [9, 9, 6] [9, 6] [1, 1, 9, 3, 0] [1, 1, 3, 0] --------------- = ------------ [9, 9, 6] [9, 6] [1, 3, 9, 2, 4] [1, 3, 2, 4] --------------- = ------------ [9, 9, 6] [9, 6] [1, 4, 9, 1, 14] [1, 4, 1, 14] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 1, 2] [1, 6, 1, 2] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 0, 12] [1, 7, 0, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [10, 6, 8] [1, 10, 0, 4] [1, 0, 4] ------------- = --------- [10, 6, 8] [6, 8] denominator=, [10, 6, 10] [1, 10, 0, 9] [1, 0, 9] ------------- = --------- [10, 6, 10] [6, 10] denominator=, [10, 6, 12] [1, 10, 0, 14] [1, 0, 14] -------------- = ---------- [10, 6, 12] [6, 12] denominator=, [10, 6, 14] [1, 10, 1, 3] [1, 1, 3] ------------- = --------- [10, 6, 14] [6, 14] denominator=, [10, 7, 0] [1, 10, 1, 8] [1, 1, 8] ------------- = --------- [10, 7, 0] [7, 0] denominator=, [10, 7, 2] [1, 10, 1, 13] [1, 1, 13] -------------- = ---------- [10, 7, 2] [7, 2] denominator=, [10, 7, 4] [1, 10, 2, 2] [1, 2, 2] ------------- = --------- [10, 7, 4] [7, 4] denominator=, [10, 7, 6] [1, 10, 2, 7] [1, 2, 7] ------------- = --------- [10, 7, 6] [7, 6] denominator=, [10, 7, 8] [1, 10, 2, 12] [1, 2, 12] -------------- = ---------- [10, 7, 8] [7, 8] denominator=, [10, 7, 10] [1, 10, 3, 1] [1, 3, 1] ------------- = --------- [10, 7, 10] [7, 10] denominator=, [10, 7, 12] [1, 10, 3, 6] [1, 3, 6] ------------- = --------- [10, 7, 12] [7, 12] denominator=, [10, 7, 14] [1, 10, 3, 11] [1, 3, 11] -------------- = ---------- [10, 7, 14] [7, 14] denominator=, [10, 8, 0] [1, 10, 4, 0] [1, 4, 0] ------------- = --------- [10, 8, 0] [8, 0] denominator=, [10, 8, 2] [1, 10, 4, 5] [1, 4, 5] ------------- = --------- [10, 8, 2] [8, 2] denominator=, [10, 8, 4] [1, 10, 4, 10] [1, 4, 10] -------------- = ---------- [10, 8, 4] [8, 4] denominator=, [10, 8, 6] [1, 10, 4, 15] [1, 4, 15] -------------- = ---------- [10, 8, 6] [8, 6] denominator=, [10, 8, 8] [1, 10, 5, 4] [1, 5, 4] ------------- = --------- [10, 8, 8] [8, 8] denominator=, [10, 8, 10] [1, 10, 5, 9] [1, 5, 9] ------------- = --------- [10, 8, 10] [8, 10] denominator=, [10, 8, 12] [1, 10, 5, 14] [1, 5, 14] -------------- = ---------- [10, 8, 12] [8, 12] [3, 10, 0, 2] [3, 0, 2] ------------- = --------- [10, 8, 12] [8, 12] denominator=, [10, 8, 14] [1, 10, 6, 3] [1, 6, 3] ------------- = --------- [10, 8, 14] [8, 14] [3, 10, 0, 13] [3, 0, 13] -------------- = ---------- [10, 8, 14] [8, 14] denominator=, [10, 9, 0] [1, 10, 6, 8] [1, 6, 8] ------------- = --------- [10, 9, 0] [9, 0] [3, 10, 1, 8] [3, 1, 8] ------------- = --------- [10, 9, 0] [9, 0] denominator=, [10, 9, 2] [1, 10, 6, 13] [1, 6, 13] -------------- = ---------- [10, 9, 2] [9, 2] [3, 10, 2, 3] [3, 2, 3] ------------- = --------- [10, 9, 2] [9, 2] denominator=, [10, 9, 4] [1, 10, 7, 2] [1, 7, 2] ------------- = --------- [10, 9, 4] [9, 4] [3, 10, 2, 14] [3, 2, 14] -------------- = ---------- [10, 9, 4] [9, 4] denominator=, [10, 9, 6] [1, 10, 7, 7] [1, 7, 7] ------------- = --------- [10, 9, 6] [9, 6] [3, 10, 3, 9] [3, 3, 9] ------------- = --------- [10, 9, 6] [9, 6] denominator=, [10, 9, 8] [1, 10, 7, 12] [1, 7, 12] -------------- = ---------- [10, 9, 8] [9, 8] [3, 10, 4, 4] [3, 4, 4] ------------- = --------- [10, 9, 8] [9, 8] [5, 10, 0, 12] [5, 0, 12] -------------- = ---------- [10, 9, 8] [9, 8] denominator=, [10, 9, 10] [1, 10, 8, 1] [1, 8, 1] ------------- = --------- [10, 9, 10] [9, 10] [3, 10, 4, 15] [3, 4, 15] -------------- = ---------- [10, 9, 10] [9, 10] [5, 10, 1, 13] [5, 1, 13] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 9, 12] [1, 10, 8, 6] [1, 8, 6] ------------- = --------- [10, 9, 12] [9, 12] [3, 10, 5, 10] [3, 5, 10] -------------- = ---------- [10, 9, 12] [9, 12] [5, 10, 2, 14] [5, 2, 14] -------------- = ---------- [10, 9, 12] [9, 12] [7, 10, 0, 2] [7, 0, 2] ------------- = --------- [10, 9, 12] [9, 12] denominator=, [10, 9, 14] [1, 10, 8, 11] [1, 8, 11] -------------- = ---------- [10, 9, 14] [9, 14] [3, 10, 6, 5] [3, 6, 5] ------------- = --------- [10, 9, 14] [9, 14] [5, 10, 3, 15] [5, 3, 15] -------------- = ---------- [10, 9, 14] [9, 14] [7, 10, 1, 9] [7, 1, 9] ------------- = --------- [10, 9, 14] [9, 14] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [1, 10, 9, 5] [1, 9, 5] ------------- = --------- [10, 10, 2] [10, 2] [3, 10, 7, 11] [3, 7, 11] -------------- = ---------- [10, 10, 2] [10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] [7, 10, 4, 7] [7, 4, 7] ------------- = --------- [10, 10, 2] [10, 2] [9, 10, 2, 13] [9, 2, 13] -------------- = ---------- [10, 10, 2] [10, 2] [11, 10, 1, 3] [11, 1, 3] -------------- = ---------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [1, 10, 9, 10] [1, 9, 10] -------------- = ---------- [10, 10, 4] [10, 4] [3, 10, 8, 6] [3, 8, 6] ------------- = --------- [10, 10, 4] [10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [7, 10, 5, 14] [7, 5, 14] -------------- = ---------- [10, 10, 4] [10, 4] [9, 10, 4, 10] [9, 4, 10] -------------- = ---------- [10, 10, 4] [10, 4] [11, 10, 3, 6] [11, 3, 6] -------------- = ---------- [10, 10, 4] [10, 4] [13, 10, 2, 2] [13, 2, 2] -------------- = ---------- [10, 10, 4] [10, 4] [15, 10, 0, 14] [15, 0, 14] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 6] [1, 10, 9, 15] [1, 9, 15] -------------- = ---------- [10, 10, 6] [10, 6] [3, 10, 9, 1] [3, 9, 1] ------------- = --------- [10, 10, 6] [10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [7, 10, 7, 5] [7, 7, 5] ------------- = --------- [10, 10, 6] [10, 6] [9, 10, 6, 7] [9, 6, 7] ------------- = --------- [10, 10, 6] [10, 6] [11, 10, 5, 9] [11, 5, 9] -------------- = ---------- [10, 10, 6] [10, 6] [13, 10, 4, 11] [13, 4, 11] --------------- = ----------- [10, 10, 6] [10, 6] [15, 10, 3, 13] [15, 3, 13] --------------- = ----------- [10, 10, 6] [10, 6] [1, 1, 10, 2, 15] [1, 1, 2, 15] ----------------- = ------------- [10, 10, 6] [10, 6] [1, 3, 10, 2, 1] [1, 3, 2, 1] ---------------- = ------------ [10, 10, 6] [10, 6] [1, 5, 10, 1, 3] [1, 5, 1, 3] ---------------- = ------------ [10, 10, 6] [10, 6] [1, 7, 10, 0, 5] [1, 7, 0, 5] ---------------- = ------------ [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [1, 10, 10, 4] [1, 10, 4] -------------- = ---------- [10, 10, 8] [10, 8] [3, 10, 9, 12] [3, 9, 12] -------------- = ---------- [10, 10, 8] [10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [7, 10, 8, 12] [7, 8, 12] -------------- = ---------- [10, 10, 8] [10, 8] [9, 10, 8, 4] [9, 8, 4] ------------- = --------- [10, 10, 8] [10, 8] [11, 10, 7, 12] [11, 7, 12] --------------- = ----------- [10, 10, 8] [10, 8] [13, 10, 7, 4] [13, 7, 4] -------------- = ---------- [10, 10, 8] [10, 8] [15, 10, 6, 12] [15, 6, 12] --------------- = ----------- [10, 10, 8] [10, 8] [1, 1, 10, 6, 4] [1, 1, 6, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 3, 10, 5, 12] [1, 3, 5, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 5, 10, 5, 4] [1, 5, 5, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 7, 10, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 9, 10, 4, 4] [1, 9, 4, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 11, 10, 3, 12] [1, 11, 3, 12] ------------------ = -------------- [10, 10, 8] [10, 8] [1, 13, 10, 3, 4] [1, 13, 3, 4] ----------------- = ------------- [10, 10, 8] [10, 8] [1, 15, 10, 2, 12] [1, 15, 2, 12] ------------------ = -------------- [10, 10, 8] [10, 8] [2, 1, 10, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 3, 10, 1, 12] [2, 3, 1, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 5, 10, 1, 4] [2, 5, 1, 4] ---------------- = ------------ [10, 10, 8] [10, 8] [2, 7, 10, 0, 12] [2, 7, 0, 12] ----------------- = ------------- [10, 10, 8] [10, 8] [2, 9, 10, 0, 4] [2, 9, 0, 4] ---------------- = ------------ [10, 10, 8] [10, 8] denominator=, [11, 6, 14] [1, 11, 0, 4] [1, 0, 4] ------------- = --------- [11, 6, 14] [6, 14] denominator=, [11, 7, 9] [1, 11, 1, 14] [1, 1, 14] -------------- = ---------- [11, 7, 9] [7, 9] denominator=, [11, 8, 4] [1, 11, 3, 8] [1, 3, 8] ------------- = --------- [11, 8, 4] [8, 4] denominator=, [11, 8, 15] [1, 11, 5, 2] [1, 5, 2] ------------- = --------- [11, 8, 15] [8, 15] [2, 11, 1, 5] [2, 1, 5] ------------- = --------- [11, 8, 15] [8, 15] denominator=, [11, 9, 10] [1, 11, 6, 12] [1, 6, 12] -------------- = ---------- [11, 9, 10] [9, 10] [2, 11, 3, 14] [2, 3, 14] -------------- = ---------- [11, 9, 10] [9, 10] [3, 11, 1, 0] [3, 1, 0] ------------- = --------- [11, 9, 10] [9, 10] denominator=, [11, 10, 5] [1, 11, 8, 6] [1, 8, 6] ------------- = --------- [11, 10, 5] [10, 5] [2, 11, 6, 7] [2, 6, 7] ------------- = --------- [11, 10, 5] [10, 5] [3, 11, 4, 8] [3, 4, 8] ------------- = --------- [11, 10, 5] [10, 5] [4, 11, 2, 9] [4, 2, 9] ------------- = --------- [11, 10, 5] [10, 5] [5, 11, 0, 10] [5, 0, 10] -------------- = ---------- [11, 10, 5] [10, 5] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 7, 4] [1, 12, 0, 5] [1, 0, 5] ------------- = --------- [12, 7, 4] [7, 4] denominator=, [12, 7, 8] [1, 12, 0, 14] [1, 0, 14] -------------- = ---------- [12, 7, 8] [7, 8] denominator=, [12, 7, 12] [1, 12, 1, 7] [1, 1, 7] ------------- = --------- [12, 7, 12] [7, 12] denominator=, [12, 8, 0] [1, 12, 2, 0] [1, 2, 0] ------------- = --------- [12, 8, 0] [8, 0] denominator=, [12, 8, 4] [1, 12, 2, 9] [1, 2, 9] ------------- = --------- [12, 8, 4] [8, 4] denominator=, [12, 8, 8] [1, 12, 3, 2] [1, 3, 2] ------------- = --------- [12, 8, 8] [8, 8] denominator=, [12, 8, 12] [1, 12, 3, 11] [1, 3, 11] -------------- = ---------- [12, 8, 12] [8, 12] denominator=, [12, 9, 0] [1, 12, 4, 4] [1, 4, 4] ------------- = --------- [12, 9, 0] [9, 0] denominator=, [12, 9, 4] [1, 12, 4, 13] [1, 4, 13] -------------- = ---------- [12, 9, 4] [9, 4] [2, 12, 0, 6] [2, 0, 6] ------------- = --------- [12, 9, 4] [9, 4] denominator=, [12, 9, 6] [2, 12, 0, 13] [2, 0, 13] -------------- = ---------- [12, 9, 6] [9, 6] denominator=, [12, 9, 8] [1, 12, 5, 6] [1, 5, 6] ------------- = --------- [12, 9, 8] [9, 8] [2, 12, 1, 4] [2, 1, 4] ------------- = --------- [12, 9, 8] [9, 8] denominator=, [12, 9, 10] [2, 12, 1, 11] [2, 1, 11] -------------- = ---------- [12, 9, 10] [9, 10] denominator=, [12, 9, 12] [1, 12, 5, 15] [1, 5, 15] -------------- = ---------- [12, 9, 12] [9, 12] [2, 12, 2, 2] [2, 2, 2] ------------- = --------- [12, 9, 12] [9, 12] denominator=, [12, 9, 14] [2, 12, 2, 9] [2, 2, 9] ------------- = --------- [12, 9, 14] [9, 14] denominator=, [12, 10, 0] [1, 12, 6, 8] [1, 6, 8] ------------- = --------- [12, 10, 0] [10, 0] [2, 12, 3, 0] [2, 3, 0] ------------- = --------- [12, 10, 0] [10, 0] denominator=, [12, 10, 2] [2, 12, 3, 7] [2, 3, 7] ------------- = --------- [12, 10, 2] [10, 2] denominator=, [12, 10, 4] [1, 12, 7, 1] [1, 7, 1] ------------- = --------- [12, 10, 4] [10, 4] [2, 12, 3, 14] [2, 3, 14] -------------- = ---------- [12, 10, 4] [10, 4] [3, 12, 0, 11] [3, 0, 11] -------------- = ---------- [12, 10, 4] [10, 4] denominator=, [12, 10, 6] [2, 12, 4, 5] [2, 4, 5] ------------- = --------- [12, 10, 6] [10, 6] denominator=, [12, 10, 8] [1, 12, 7, 10] [1, 7, 10] -------------- = ---------- [12, 10, 8] [10, 8] [2, 12, 4, 12] [2, 4, 12] -------------- = ---------- [12, 10, 8] [10, 8] [3, 12, 1, 14] [3, 1, 14] -------------- = ---------- [12, 10, 8] [10, 8] denominator=, [12, 10, 10] [2, 12, 5, 3] [2, 5, 3] ------------- = --------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [1, 12, 8, 3] [1, 8, 3] ------------- = --------- [12, 10, 12] [10, 12] [2, 12, 5, 10] [2, 5, 10] -------------- = ---------- [12, 10, 12] [10, 12] [3, 12, 3, 1] [3, 3, 1] ------------- = --------- [12, 10, 12] [10, 12] denominator=, [12, 10, 14] [2, 12, 6, 1] [2, 6, 1] ------------- = --------- [12, 10, 14] [10, 14] denominator=, [12, 11, 0] [1, 12, 8, 12] [1, 8, 12] -------------- = ---------- [12, 11, 0] [11, 0] [2, 12, 6, 8] [2, 6, 8] ------------- = --------- [12, 11, 0] [11, 0] [3, 12, 4, 4] [3, 4, 4] ------------- = --------- [12, 11, 0] [11, 0] denominator=, [12, 11, 2] [2, 12, 6, 15] [2, 6, 15] -------------- = ---------- [12, 11, 2] [11, 2] denominator=, [12, 11, 4] [1, 12, 9, 5] [1, 9, 5] ------------- = --------- [12, 11, 4] [11, 4] [2, 12, 7, 6] [2, 7, 6] ------------- = --------- [12, 11, 4] [11, 4] [3, 12, 5, 7] [3, 5, 7] ------------- = --------- [12, 11, 4] [11, 4] [5, 12, 1, 9] [5, 1, 9] ------------- = --------- [12, 11, 4] [11, 4] denominator=, [12, 11, 6] [2, 12, 7, 13] [2, 7, 13] -------------- = ---------- [12, 11, 6] [11, 6] [6, 12, 0, 11] [6, 0, 11] -------------- = ---------- [12, 11, 6] [11, 6] denominator=, [12, 11, 8] [1, 12, 9, 14] [1, 9, 14] -------------- = ---------- [12, 11, 8] [11, 8] [2, 12, 8, 4] [2, 8, 4] ------------- = --------- [12, 11, 8] [11, 8] [3, 12, 6, 10] [3, 6, 10] -------------- = ---------- [12, 11, 8] [11, 8] [5, 12, 3, 6] [5, 3, 6] ------------- = --------- [12, 11, 8] [11, 8] [6, 12, 1, 12] [6, 1, 12] -------------- = ---------- [12, 11, 8] [11, 8] [7, 12, 0, 2] [7, 0, 2] ------------- = --------- [12, 11, 8] [11, 8] denominator=, [12, 11, 10] [2, 12, 8, 11] [2, 8, 11] -------------- = ---------- [12, 11, 10] [11, 10] [6, 12, 2, 13] [6, 2, 13] -------------- = ---------- [12, 11, 10] [11, 10] denominator=, [12, 11, 12] [1, 12, 10, 7] [1, 10, 7] -------------- = ---------- [12, 11, 12] [11, 12] [2, 12, 9, 2] [2, 9, 2] ------------- = --------- [12, 11, 12] [11, 12] [3, 12, 7, 13] [3, 7, 13] -------------- = ---------- [12, 11, 12] [11, 12] [5, 12, 5, 3] [5, 5, 3] ------------- = --------- [12, 11, 12] [11, 12] [6, 12, 3, 14] [6, 3, 14] -------------- = ---------- [12, 11, 12] [11, 12] [7, 12, 2, 9] [7, 2, 9] ------------- = --------- [12, 11, 12] [11, 12] denominator=, [12, 11, 14] [2, 12, 9, 9] [2, 9, 9] ------------- = --------- [12, 11, 14] [11, 14] [6, 12, 4, 15] [6, 4, 15] -------------- = ---------- [12, 11, 14] [11, 14] [10, 12, 0, 5] [10, 0, 5] -------------- = ---------- [12, 11, 14] [11, 14] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [2, 12, 10, 7] [2, 10, 7] -------------- = ---------- [12, 12, 2] [12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] [10, 12, 3, 11] [10, 3, 11] --------------- = ----------- [12, 12, 2] [12, 2] [14, 12, 0, 5] [14, 0, 5] -------------- = ---------- [12, 12, 2] [12, 2] denominator=, [12, 12, 4] [1, 12, 11, 9] [1, 11, 9] -------------- = ---------- [12, 12, 4] [12, 4] [2, 12, 10, 14] [2, 10, 14] --------------- = ----------- [12, 12, 4] [12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [5, 12, 8, 13] [5, 8, 13] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [7, 12, 7, 7] [7, 7, 7] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [10, 12, 5, 6] [10, 5, 6] -------------- = ---------- [12, 12, 4] [12, 4] [11, 12, 4, 11] [11, 4, 11] --------------- = ----------- [12, 12, 4] [12, 4] [13, 12, 3, 5] [13, 3, 5] -------------- = ---------- [12, 12, 4] [12, 4] [14, 12, 2, 10] [14, 2, 10] --------------- = ----------- [12, 12, 4] [12, 4] [15, 12, 1, 15] [15, 1, 15] --------------- = ----------- [12, 12, 4] [12, 4] [1, 1, 12, 0, 9] [1, 1, 0, 9] ---------------- = ------------ [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 15] [14, 4, 15] --------------- = ----------- [12, 12, 6] [12, 6] [1, 2, 12, 2, 13] [1, 2, 2, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 0, 11] [1, 6, 0, 11] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [1, 12, 12, 2] [1, 12, 2] -------------- = ---------- [12, 12, 8] [12, 8] [2, 12, 11, 12] [2, 11, 12] --------------- = ----------- [12, 12, 8] [12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [5, 12, 10, 10] [5, 10, 10] --------------- = ----------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [7, 12, 9, 14] [7, 9, 14] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [10, 12, 8, 12] [10, 8, 12] --------------- = ----------- [12, 12, 8] [12, 8] [11, 12, 8, 6] [11, 8, 6] -------------- = ---------- [12, 12, 8] [12, 8] [13, 12, 7, 10] [13, 7, 10] --------------- = ----------- [12, 12, 8] [12, 8] [14, 12, 7, 4] [14, 7, 4] -------------- = ---------- [12, 12, 8] [12, 8] [15, 12, 6, 14] [15, 6, 14] --------------- = ----------- [12, 12, 8] [12, 8] [1, 1, 12, 6, 2] [1, 1, 6, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 2, 12, 5, 12] [1, 2, 5, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 3, 12, 5, 6] [1, 3, 5, 6] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 5, 12, 4, 10] [1, 5, 4, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 4, 4] [1, 6, 4, 4] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 7, 12, 3, 14] [1, 7, 3, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 9, 12, 3, 2] [1, 9, 3, 2] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 10, 12, 2, 12] [1, 10, 2, 12] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 11, 12, 2, 6] [1, 11, 2, 6] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 13, 12, 1, 10] [1, 13, 1, 10] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 14, 12, 1, 4] [1, 14, 1, 4] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 15, 12, 0, 14] [1, 15, 0, 14] ------------------ = -------------- [12, 12, 8] [12, 8] [2, 1, 12, 0, 2] [2, 1, 0, 2] ---------------- = ------------ [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [2, 12, 12, 3] [2, 12, 3] -------------- = ---------- [12, 12, 10] [12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [10, 12, 10, 7] [10, 10, 7] --------------- = ----------- [12, 12, 10] [12, 10] [14, 12, 9, 9] [14, 9, 9] -------------- = ---------- [12, 12, 10] [12, 10] [1, 2, 12, 8, 11] [1, 2, 8, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 6, 12, 7, 13] [1, 6, 7, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 15] [1, 10, 6, 15] ------------------ = -------------- [12, 12, 10] [12, 10] [1, 14, 12, 6, 1] [1, 14, 6, 1] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 2, 12, 5, 3] [2, 2, 5, 3] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 6, 12, 4, 5] [2, 6, 4, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 10, 12, 3, 7] [2, 10, 3, 7] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 14, 12, 2, 9] [2, 14, 2, 9] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 2, 12, 1, 11] [3, 2, 1, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 6, 12, 0, 13] [3, 6, 0, 13] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [13, 8, 2] [1, 13, 1, 8] [1, 1, 8] ------------- = --------- [13, 8, 2] [8, 2] denominator=, [13, 8, 15] [1, 13, 3, 4] [1, 3, 4] ------------- = --------- [13, 8, 15] [8, 15] denominator=, [13, 9, 12] [1, 13, 5, 0] [1, 5, 0] ------------- = --------- [13, 9, 12] [9, 12] [2, 13, 0, 4] [2, 0, 4] ------------- = --------- [13, 9, 12] [9, 12] denominator=, [13, 10, 9] [1, 13, 6, 12] [1, 6, 12] -------------- = ---------- [13, 10, 9] [10, 9] [2, 13, 2, 15] [2, 2, 15] -------------- = ---------- [13, 10, 9] [10, 9] denominator=, [13, 11, 6] [1, 13, 8, 8] [1, 8, 8] ------------- = --------- [13, 11, 6] [11, 6] [2, 13, 5, 10] [2, 5, 10] -------------- = ---------- [13, 11, 6] [11, 6] [3, 13, 2, 12] [3, 2, 12] -------------- = ---------- [13, 11, 6] [11, 6] denominator=, [13, 12, 3] [1, 13, 10, 4] [1, 10, 4] -------------- = ---------- [13, 12, 3] [12, 3] [2, 13, 8, 5] [2, 8, 5] ------------- = --------- [13, 12, 3] [12, 3] [3, 13, 6, 6] [3, 6, 6] ------------- = --------- [13, 12, 3] [12, 3] [4, 13, 4, 7] [4, 4, 7] ------------- = --------- [13, 12, 3] [12, 3] [5, 13, 2, 8] [5, 2, 8] ------------- = --------- [13, 12, 3] [12, 3] [6, 13, 0, 9] [6, 0, 9] ------------- = --------- [13, 12, 3] [12, 3] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [14, 7, 14] [1, 14, 0, 5] [1, 0, 5] ------------- = --------- [14, 7, 14] [7, 14] denominator=, [14, 8, 12] [1, 14, 2, 2] [1, 2, 2] ------------- = --------- [14, 8, 12] [8, 12] denominator=, [14, 9, 10] [1, 14, 3, 15] [1, 3, 15] -------------- = ---------- [14, 9, 10] [9, 10] denominator=, [14, 10, 8] [1, 14, 5, 12] [1, 5, 12] -------------- = ---------- [14, 10, 8] [10, 8] [2, 14, 1, 0] [2, 1, 0] ------------- = --------- [14, 10, 8] [10, 8] denominator=, [14, 10, 15] [2, 14, 2, 6] [2, 2, 6] ------------- = --------- [14, 10, 15] [10, 15] denominator=, [14, 11, 6] [1, 14, 7, 9] [1, 7, 9] ------------- = --------- [14, 11, 6] [11, 6] [2, 14, 3, 12] [2, 3, 12] -------------- = ---------- [14, 11, 6] [11, 6] denominator=, [14, 11, 13] [2, 14, 5, 2] [2, 5, 2] ------------- = --------- [14, 11, 13] [11, 13] denominator=, [14, 12, 4] [1, 14, 9, 6] [1, 9, 6] ------------- = --------- [14, 12, 4] [12, 4] [2, 14, 6, 8] [2, 6, 8] ------------- = --------- [14, 12, 4] [12, 4] [3, 14, 3, 10] [3, 3, 10] -------------- = ---------- [14, 12, 4] [12, 4] [4, 14, 0, 12] [4, 0, 12] -------------- = ---------- [14, 12, 4] [12, 4] denominator=, [14, 12, 11] [2, 14, 7, 14] [2, 7, 14] -------------- = ---------- [14, 12, 11] [12, 11] [4, 14, 3, 1] [4, 3, 1] ------------- = --------- [14, 12, 11] [12, 11] denominator=, [14, 13, 2] [1, 14, 11, 3] [1, 11, 3] -------------- = ---------- [14, 13, 2] [13, 2] [2, 14, 9, 4] [2, 9, 4] ------------- = --------- [14, 13, 2] [13, 2] [3, 14, 7, 5] [3, 7, 5] ------------- = --------- [14, 13, 2] [13, 2] [4, 14, 5, 6] [4, 5, 6] ------------- = --------- [14, 13, 2] [13, 2] [5, 14, 3, 7] [5, 3, 7] ------------- = --------- [14, 13, 2] [13, 2] [6, 14, 1, 8] [6, 1, 8] ------------- = --------- [14, 13, 2] [13, 2] denominator=, [14, 13, 4] [7, 14, 0, 10] [7, 0, 10] -------------- = ---------- [14, 13, 4] [13, 4] denominator=, [14, 13, 6] [7, 14, 1, 11] [7, 1, 11] -------------- = ---------- [14, 13, 6] [13, 6] denominator=, [14, 13, 8] [7, 14, 2, 12] [7, 2, 12] -------------- = ---------- [14, 13, 8] [13, 8] denominator=, [14, 13, 9] [2, 14, 10, 10] [2, 10, 10] --------------- = ----------- [14, 13, 9] [13, 9] [4, 14, 7, 11] [4, 7, 11] -------------- = ---------- [14, 13, 9] [13, 9] [6, 14, 4, 12] [6, 4, 12] -------------- = ---------- [14, 13, 9] [13, 9] [8, 14, 1, 13] [8, 1, 13] -------------- = ---------- [14, 13, 9] [13, 9] denominator=, [14, 13, 10] [7, 14, 3, 13] [7, 3, 13] -------------- = ---------- [14, 13, 10] [13, 10] denominator=, [14, 13, 12] [7, 14, 4, 14] [7, 4, 14] -------------- = ---------- [14, 13, 12] [13, 12] denominator=, [14, 13, 14] [7, 14, 5, 15] [7, 5, 15] -------------- = ---------- [14, 13, 14] [13, 14] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 5, 14, 1, 13] [1, 5, 1, 13] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [1, 0, 14, 5, 15] [1, 0, 5, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 4, 14] [1, 2, 4, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 3, 13] [1, 4, 3, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 2, 12] [1, 6, 2, 12] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 1, 11] [1, 8, 1, 11] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 10, 14, 0, 10] [1, 10, 0, 10] ------------------ = -------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 5, 14, 4, 12] [1, 5, 4, 12] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 5, 14, 7, 11] [1, 5, 7, 11] ----------------- = ------------- [14, 14, 10] [14, 10] [2, 3, 14, 3, 1] [2, 3, 3, 1] ---------------- = ------------ [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 5, 14, 10, 10] [1, 5, 10, 10] ------------------ = -------------- [14, 14, 12] [14, 12] [2, 3, 14, 7, 14] [2, 3, 7, 14] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 1, 14, 5, 2] [3, 1, 5, 2] ---------------- = ------------ [14, 14, 12] [14, 12] [3, 15, 14, 2, 6] [3, 15, 2, 6] ----------------- = ------------- [14, 14, 12] [14, 12] ------------------------------------------------------------------------- This ends this book that took, 159.041, seconds to generate. ---------------------------------------------- Base , 17 Lots and Lots of Anomalous Cancellations in base, 17 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 17, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 17, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [12, 9] [1, 12, 4] [1, 4] ---------- = ------ [12, 9] [9] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [12, 6, 5] [12, 5] ---------- = ------- [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [2, 14, 6, 1] [2, 14, 1] ------------- = ---------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [8, 12, 11] [8, 11] ----------- = ------- [3, 12, 12] [3, 12] [13, 12, 10] [13, 10] ------------ = -------- [3, 12, 12] [3, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [1, 11, 12, 7] [1, 11, 7] -------------- = ---------- [3, 12, 12] [3, 12] [2, 4, 12, 5] [2, 4, 5] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] [3, 2, 12, 2] [3, 2, 2] ------------- = --------- [3, 12, 12] [3, 12] [3, 7, 12, 1] [3, 7, 1] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 10] [14, 10, 9] [14, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 15, 10, 7] [1, 15, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 0, 10, 3] [4, 0, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 1, 10, 1] [5, 1, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 12, 12] [15, 12, 11] [15, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 0, 12, 7] [3, 0, 7] ------------- = --------- [6, 12, 12] [6, 12] [4, 1, 12, 5] [4, 1, 5] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] [6, 3, 12, 1] [6, 3, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 14] [16, 14, 13] [16, 13] ------------ = -------- [7, 14, 14] [7, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 0, 14, 11] [2, 0, 11] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 1, 14, 9] [3, 1, 9] ------------- = --------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 3, 14, 5] [5, 3, 5] ------------- = --------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 4, 14, 3] [6, 4, 3] ------------- = --------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] [7, 5, 14, 1] [7, 5, 1] ------------- = --------- [7, 14, 14] [7, 14] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 0, 6, 5] [2, 0, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [7, 15, 6, 1] [7, 15, 1] ------------- = ---------- [9, 6, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 12, 12] [1, 5, 12, 11] [1, 5, 11] -------------- = ---------- [9, 12, 12] [9, 12] [2, 1, 12, 10] [2, 1, 10] -------------- = ---------- [9, 12, 12] [9, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [4, 6, 12, 7] [4, 6, 7] ------------- = --------- [9, 12, 12] [9, 12] [5, 15, 12, 5] [5, 15, 5] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] [8, 3, 12, 2] [8, 3, 2] ------------- = --------- [9, 12, 12] [9, 12] [8, 16, 12, 1] [8, 16, 1] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [3, 5, 6, 5] [3, 5, 5] ------------ = --------- [15, 6, 6] [15, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] [12, 16, 6, 1] [12, 16, 1] -------------- = ----------- [15, 6, 6] [15, 6] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [2, 6, 10, 9] [2, 6, 9] ------------- = --------- [15, 10, 10] [15, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [5, 5, 10, 7] [5, 5, 7] ------------- = --------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [11, 3, 10, 3] [11, 3, 3] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] [14, 2, 10, 1] [14, 2, 1] -------------- = ---------- [15, 10, 10] [15, 10] denominator=, [15, 12, 12] [2, 2, 12, 11] [2, 2, 11] -------------- = ---------- [15, 12, 12] [15, 12] [3, 6, 12, 10] [3, 6, 10] -------------- = ---------- [15, 12, 12] [15, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [7, 1, 12, 7] [7, 1, 7] ------------- = --------- [15, 12, 12] [15, 12] [9, 9, 12, 5] [9, 9, 5] ------------- = --------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] [13, 4, 12, 2] [13, 4, 2] -------------- = ---------- [15, 12, 12] [15, 12] [14, 8, 12, 1] [14, 8, 1] -------------- = ---------- [15, 12, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [3, 6, 6] [12, 6, 5, 0] [12, 5, 0] ------------- = ---------- [3, 6, 6] [3, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 14, 6, 1, 0] [2, 14, 1, 0] ---------------- = ------------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [8, 12, 11, 0] [8, 11, 0] -------------- = ---------- [3, 12, 12] [3, 12] [13, 12, 10, 0] [13, 10, 0] --------------- = ----------- [3, 12, 12] [3, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 11, 12, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [3, 12, 12] [3, 12] [2, 4, 12, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 2, 12, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 7, 12, 1, 0] [3, 7, 1, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [2, 11, 15, 5, 0] [2, 11, 5, 0] ----------------- = ------------- [3, 15, 15] [3, 15] denominator=, [5, 10, 10] [14, 10, 9, 0] [14, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [1, 15, 10, 7, 0] [1, 15, 7, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 0, 10, 3, 0] [4, 0, 3, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 1, 10, 1, 0] [5, 1, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 15, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 12, 12] [15, 12, 11, 0] [15, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [3, 0, 12, 7, 0] [3, 0, 7, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 1, 12, 5, 0] [4, 1, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [6, 3, 12, 1, 0] [6, 3, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 15, 15] [2, 9, 15, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [6, 15, 15] [6, 15] [4, 12, 15, 5, 0] [4, 12, 5, 0] ----------------- = ------------- [6, 15, 15] [6, 15] denominator=, [7, 14, 14] [16, 14, 13, 0] [16, 13, 0] --------------- = ----------- [7, 14, 14] [7, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 0, 14, 11, 0] [2, 0, 11, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 1, 14, 9, 0] [3, 1, 9, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 3, 14, 5, 0] [5, 3, 5, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 4, 14, 3, 0] [6, 4, 3, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [7, 5, 14, 1, 0] [7, 5, 1, 0] ---------------- = ------------ [7, 14, 14] [7, 14] denominator=, [9, 3, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 0, 6, 5, 0] [2, 0, 5, 0] --------------- = ------------ [9, 6, 6] [9, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] [7, 15, 6, 1, 0] [7, 15, 1, 0] ---------------- = ------------- [9, 6, 6] [9, 6] denominator=, [9, 12, 12] [1, 5, 12, 11, 0] [1, 5, 11, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [2, 1, 12, 10, 0] [2, 1, 10, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [4, 6, 12, 7, 0] [4, 6, 7, 0] ---------------- = ------------ [9, 12, 12] [9, 12] [5, 15, 12, 5, 0] [5, 15, 5, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [8, 3, 12, 2, 0] [8, 3, 2, 0] ---------------- = ------------ [9, 12, 12] [9, 12] [8, 16, 12, 1, 0] [8, 16, 1, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [9, 15, 15] [3, 11, 15, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [9, 15, 15] [9, 15] [6, 13, 15, 5, 0] [6, 13, 5, 0] ----------------- = ------------- [9, 15, 15] [9, 15] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 15, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 15, 15] [4, 13, 15, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [12, 15, 15] [12, 15] [8, 14, 15, 5, 0] [8, 14, 5, 0] ----------------- = ------------- [12, 15, 15] [12, 15] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [15, 3, 3] [5, 11, 3, 2, 0] [5, 11, 2, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [10, 7, 3, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [15, 3, 3] [15, 3] denominator=, [15, 5, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [3, 5, 6, 5, 0] [3, 5, 5, 0] --------------- = ------------ [15, 6, 6] [15, 6] [5, 12, 6, 4, 0] [5, 12, 4, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [10, 9, 6, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [12, 16, 6, 1, 0] [12, 16, 1, 0] ----------------- = -------------- [15, 6, 6] [15, 6] denominator=, [15, 9, 9] [5, 13, 9, 6, 0] [5, 13, 6, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [10, 11, 9, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [2, 6, 10, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [5, 5, 10, 7, 0] [5, 5, 7, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [11, 3, 10, 3, 0] [11, 3, 3, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] [14, 2, 10, 1, 0] [14, 2, 1, 0] ----------------- = ------------- [15, 10, 10] [15, 10] denominator=, [15, 12, 12] [2, 2, 12, 11, 0] [2, 2, 11, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [3, 6, 12, 10, 0] [3, 6, 10, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [5, 14, 12, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [7, 1, 12, 7, 0] [7, 1, 7, 0] ---------------- = ------------ [15, 12, 12] [15, 12] [9, 9, 12, 5, 0] [9, 9, 5, 0] ---------------- = ------------ [15, 12, 12] [15, 12] [10, 13, 12, 4, 0] [10, 13, 4, 0] ------------------ = -------------- [15, 12, 12] [15, 12] [13, 4, 12, 2, 0] [13, 4, 2, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [14, 8, 12, 1, 0] [14, 8, 1, 0] ----------------- = ------------- [15, 12, 12] [15, 12] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [1, 15, 0] [1, 15] [1] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 14] [15, 15] [15] ----------- = ------- [1, 15, 14] [1, 14] denominator=, [1, 16, 0] [1, 16] [1] ---------- = ------ [1, 16, 0] [1, 0] denominator=, [1, 16, 15] [16, 16] [16] ----------- = ------- [1, 16, 15] [1, 15] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [2, 15, 0] [2, 15] [2] ---------- = ------ [2, 15, 0] [2, 0] denominator=, [2, 15, 13] [15, 15] [15] ----------- = ------- [2, 15, 13] [2, 13] denominator=, [2, 16, 0] [2, 16] [2] ---------- = ------ [2, 16, 0] [2, 0] denominator=, [2, 16, 14] [16, 16] [16] ----------- = ------- [2, 16, 14] [2, 14] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [3, 15] [3] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 12] [15, 15] [15] ----------- = ------- [3, 15, 12] [3, 12] denominator=, [3, 16, 0] [3, 16] [3] ---------- = ------ [3, 16, 0] [3, 0] denominator=, [3, 16, 13] [16, 16] [16] ----------- = ------- [3, 16, 13] [3, 13] denominator=, [3, 16, 15] [1, 16, 16] [1, 16] ----------- = ------- [3, 16, 15] [3, 15] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [1, 8, 8] [1, 8] --------- = ------ [4, 8, 7] [4, 7] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 15, 0] [4, 15] [4] ---------- = ------ [4, 15, 0] [4, 0] denominator=, [4, 15, 11] [15, 15] [15] ----------- = ------- [4, 15, 11] [4, 11] denominator=, [4, 16, 0] [4, 16] [4] ---------- = ------ [4, 16, 0] [4, 0] denominator=, [4, 16, 12] [16, 16] [16] ----------- = ------- [4, 16, 12] [4, 12] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [5, 15] [5] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 10] [15, 15] [15] ----------- = ------- [5, 15, 10] [5, 10] denominator=, [5, 16, 0] [5, 16] [5] ---------- = ------ [5, 16, 0] [5, 0] denominator=, [5, 16, 11] [16, 16] [16] ----------- = ------- [5, 16, 11] [5, 11] denominator=, [5, 16, 14] [1, 16, 16] [1, 16] ----------- = ------- [5, 16, 14] [5, 14] denominator=, [5, 16, 15] [2, 16, 16] [2, 16] ----------- = ------- [5, 16, 15] [5, 15] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [6, 4, 3] [6, 3] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 15, 0] [6, 15] [6] ---------- = ------ [6, 15, 0] [6, 0] denominator=, [6, 15, 9] [15, 15] [15] ---------- = ------ [6, 15, 9] [6, 9] denominator=, [6, 16, 0] [6, 16] [6] ---------- = ------ [6, 16, 0] [6, 0] denominator=, [6, 16, 10] [16, 16] [16] ----------- = ------- [6, 16, 10] [6, 10] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [7, 8, 6] [7, 6] denominator=, [7, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [7, 8, 7] [7, 7] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 15, 0] [7, 15] [7] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 8] [15, 15] [15] ---------- = ------ [7, 15, 8] [7, 8] denominator=, [7, 16, 0] [7, 16] [7] ---------- = ------ [7, 16, 0] [7, 0] denominator=, [7, 16, 9] [16, 16] [16] ---------- = ------ [7, 16, 9] [7, 9] denominator=, [7, 16, 13] [1, 16, 16] [1, 16] ----------- = ------- [7, 16, 13] [7, 13] denominator=, [7, 16, 15] [3, 16, 16] [3, 16] ----------- = ------- [7, 16, 15] [7, 15] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 12, 9] [1, 12, 12] [1, 12] ----------- = ------- [8, 12, 9] [8, 9] denominator=, [8, 12, 11] [3, 12, 12] [3, 12] ----------- = ------- [8, 12, 11] [8, 11] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 15, 0] [8, 15] [8] ---------- = ------ [8, 15, 0] [8, 0] denominator=, [8, 15, 7] [15, 15] [15] ---------- = ------ [8, 15, 7] [8, 7] denominator=, [8, 16, 0] [8, 16] [8] ---------- = ------ [8, 16, 0] [8, 0] denominator=, [8, 16, 8] [16, 16] [16] ---------- = ------ [8, 16, 8] [8, 8] denominator=, [8, 16, 14] [2, 16, 16] [2, 16] ----------- = ------- [8, 16, 14] [8, 14] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 15, 0] [9, 15] [9] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 6] [15, 15] [15] ---------- = ------ [9, 15, 6] [9, 6] denominator=, [9, 16, 0] [9, 16] [9] ---------- = ------ [9, 16, 0] [9, 0] denominator=, [9, 16, 7] [16, 16] [16] ---------- = ------ [9, 16, 7] [9, 7] denominator=, [9, 16, 12] [1, 16, 16] [1, 16] ----------- = ------- [9, 16, 12] [9, 12] denominator=, [9, 16, 15] [4, 16, 16] [4, 16] ----------- = ------- [9, 16, 15] [9, 15] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 2, 1] [1, 2, 2] [1, 2] ---------- = ------- [10, 2, 1] [10, 1] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 8, 5] [1, 8, 8] [1, 8] ---------- = ------- [10, 8, 5] [10, 5] denominator=, [10, 8, 7] [3, 8, 8] [3, 8] ---------- = ------- [10, 8, 7] [10, 7] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 15, 0] [10, 15] [10] ----------- = ------- [10, 15, 0] [10, 0] denominator=, [10, 15, 5] [15, 15] [15] ----------- = ------- [10, 15, 5] [10, 5] denominator=, [10, 16, 0] [10, 16] [10] ----------- = ------- [10, 16, 0] [10, 0] denominator=, [10, 16, 6] [16, 16] [16] ----------- = ------- [10, 16, 6] [10, 6] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [11, 4, 2] [11, 2] denominator=, [11, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [11, 4, 3] [11, 3] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 15, 0] [11, 15] [11] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 4] [15, 15] [15] ----------- = ------- [11, 15, 4] [11, 4] denominator=, [11, 16, 0] [11, 16] [11] ----------- = ------- [11, 16, 0] [11, 0] denominator=, [11, 16, 5] [16, 16] [16] ----------- = ------- [11, 16, 5] [11, 5] denominator=, [11, 16, 11] [1, 16, 16] [1, 16] ------------ = -------- [11, 16, 11] [11, 11] denominator=, [11, 16, 13] [2, 16, 16] [2, 16] ------------ = -------- [11, 16, 13] [11, 13] denominator=, [11, 16, 14] [3, 16, 16] [3, 16] ------------ = -------- [11, 16, 14] [11, 14] denominator=, [11, 16, 15] [5, 16, 16] [5, 16] ------------ = -------- [11, 16, 15] [11, 15] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [12, 6, 3] [12, 3] denominator=, [12, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [12, 6, 5] [12, 5] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [12, 8, 6] [12, 6] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 15, 0] [12, 15] [12] ----------- = ------- [12, 15, 0] [12, 0] denominator=, [12, 15, 3] [15, 15] [15] ----------- = ------- [12, 15, 3] [12, 3] denominator=, [12, 16, 0] [12, 16] [12] ----------- = ------- [12, 16, 0] [12, 0] denominator=, [12, 16, 4] [16, 16] [16] ----------- = ------- [12, 16, 4] [12, 4] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [13, 8, 4] [13, 4] denominator=, [13, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [13, 8, 7] [13, 7] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [13, 12, 9] [13, 9] denominator=, [13, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [13, 12, 10] [13, 10] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 15, 0] [13, 15] [13] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 2] [15, 15] [15] ----------- = ------- [13, 15, 2] [13, 2] denominator=, [13, 16, 0] [13, 16] [13] ----------- = ------- [13, 16, 0] [13, 0] denominator=, [13, 16, 3] [16, 16] [16] ----------- = ------- [13, 16, 3] [13, 3] denominator=, [13, 16, 10] [1, 16, 16] [1, 16] ------------ = -------- [13, 16, 10] [13, 10] denominator=, [13, 16, 15] [6, 16, 16] [6, 16] ------------ = -------- [13, 16, 15] [13, 15] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [14, 10, 5] [14, 5] denominator=, [14, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [14, 10, 9] [14, 9] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 15, 0] [14, 15] [14] ----------- = ------- [14, 15, 0] [14, 0] denominator=, [14, 15, 1] [15, 15] [15] ----------- = ------- [14, 15, 1] [14, 1] denominator=, [14, 16, 0] [14, 16] [14] ----------- = ------- [14, 16, 0] [14, 0] denominator=, [14, 16, 2] [16, 16] [16] ----------- = ------- [14, 16, 2] [14, 2] denominator=, [14, 16, 12] [2, 16, 16] [2, 16] ------------ = -------- [14, 16, 12] [14, 12] denominator=, [14, 16, 14] [4, 16, 16] [4, 16] ------------ = -------- [14, 16, 14] [14, 14] denominator=, [15, 1, 0] [15, 1] [15] ---------- = ------- [15, 1, 0] [15, 0] denominator=, [15, 2, 0] [15, 2] [15] ---------- = ------- [15, 2, 0] [15, 0] denominator=, [15, 3, 0] [15, 3] [15] ---------- = ------- [15, 3, 0] [15, 0] denominator=, [15, 4, 0] [15, 4] [15] ---------- = ------- [15, 4, 0] [15, 0] denominator=, [15, 5, 0] [15, 5] [15] ---------- = ------- [15, 5, 0] [15, 0] denominator=, [15, 6, 0] [15, 6] [15] ---------- = ------- [15, 6, 0] [15, 0] denominator=, [15, 7, 0] [15, 7] [15] ---------- = ------- [15, 7, 0] [15, 0] denominator=, [15, 8, 0] [15, 8] [15] ---------- = ------- [15, 8, 0] [15, 0] denominator=, [15, 9, 0] [15, 9] [15] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 10, 0] [15, 10] [15] ----------- = ------- [15, 10, 0] [15, 0] denominator=, [15, 11, 0] [15, 11] [15] ----------- = ------- [15, 11, 0] [15, 0] denominator=, [15, 12, 0] [15, 12] [15] ----------- = ------- [15, 12, 0] [15, 0] denominator=, [15, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [15, 12, 6] [15, 6] denominator=, [15, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [15, 12, 11] [15, 11] denominator=, [15, 13, 0] [15, 13] [15] ----------- = ------- [15, 13, 0] [15, 0] denominator=, [15, 14, 0] [15, 14] [15] ----------- = ------- [15, 14, 0] [15, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 16, 0] [15, 16] [15] ----------- = ------- [15, 16, 0] [15, 0] denominator=, [15, 16, 1] [16, 16] [16] ----------- = ------- [15, 16, 1] [15, 1] denominator=, [15, 16, 9] [1, 16, 16] [1, 16] ----------- = ------- [15, 16, 9] [15, 9] denominator=, [15, 16, 13] [3, 16, 16] [3, 16] ------------ = -------- [15, 16, 13] [15, 13] denominator=, [15, 16, 15] [7, 16, 16] [7, 16] ------------ = -------- [15, 16, 15] [15, 15] denominator=, [16, 1, 0] [16, 1] [16] ---------- = ------- [16, 1, 0] [16, 0] denominator=, [16, 2, 0] [16, 2] [16] ---------- = ------- [16, 2, 0] [16, 0] denominator=, [16, 3, 0] [16, 3] [16] ---------- = ------- [16, 3, 0] [16, 0] denominator=, [16, 4, 0] [16, 4] [16] ---------- = ------- [16, 4, 0] [16, 0] denominator=, [16, 4, 1] [1, 4, 4] [1, 4] ---------- = ------- [16, 4, 1] [16, 1] denominator=, [16, 4, 3] [3, 4, 4] [3, 4] ---------- = ------- [16, 4, 3] [16, 3] denominator=, [16, 5, 0] [16, 5] [16] ---------- = ------- [16, 5, 0] [16, 0] denominator=, [16, 6, 0] [16, 6] [16] ---------- = ------- [16, 6, 0] [16, 0] denominator=, [16, 7, 0] [16, 7] [16] ---------- = ------- [16, 7, 0] [16, 0] denominator=, [16, 8, 0] [16, 8] [16] ---------- = ------- [16, 8, 0] [16, 0] denominator=, [16, 8, 3] [1, 8, 8] [1, 8] ---------- = ------- [16, 8, 3] [16, 3] denominator=, [16, 8, 7] [5, 8, 8] [5, 8] ---------- = ------- [16, 8, 7] [16, 7] denominator=, [16, 9, 0] [16, 9] [16] ---------- = ------- [16, 9, 0] [16, 0] denominator=, [16, 10, 0] [16, 10] [16] ----------- = ------- [16, 10, 0] [16, 0] denominator=, [16, 11, 0] [16, 11] [16] ----------- = ------- [16, 11, 0] [16, 0] denominator=, [16, 12, 0] [16, 12] [16] ----------- = ------- [16, 12, 0] [16, 0] denominator=, [16, 13, 0] [16, 13] [16] ----------- = ------- [16, 13, 0] [16, 0] denominator=, [16, 14, 0] [16, 14] [16] ----------- = ------- [16, 14, 0] [16, 0] denominator=, [16, 14, 7] [1, 14, 14] [1, 14] ----------- = ------- [16, 14, 7] [16, 7] denominator=, [16, 14, 13] [7, 14, 14] [7, 14] ------------ = -------- [16, 14, 13] [16, 13] denominator=, [16, 15, 0] [16, 15] [16] ----------- = ------- [16, 15, 0] [16, 0] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 8, 1] [8, 6] [6] --------- = ------ [1, 8, 1] [1, 1] denominator=, [1, 8, 4] [8, 7] [7] --------- = ------ [1, 8, 4] [1, 4] [2, 8, 1] [2, 1] --------- = ------ [1, 8, 4] [1, 4] denominator=, [1, 12, 4] [12, 9] [9] ---------- = ------ [1, 12, 4] [1, 4] denominator=, [1, 16, 1] [16, 9] [9] ---------- = ------ [1, 16, 1] [1, 1] denominator=, [1, 16, 3] [16, 10] [10] ---------- = ------ [1, 16, 3] [1, 3] denominator=, [1, 16, 5] [16, 11] [11] ---------- = ------ [1, 16, 5] [1, 5] denominator=, [1, 16, 7] [16, 12] [12] ---------- = ------ [1, 16, 7] [1, 7] [2, 16, 2] [2, 2] ---------- = ------ [1, 16, 7] [1, 7] denominator=, [1, 16, 9] [16, 13] [13] ---------- = ------ [1, 16, 9] [1, 9] [2, 16, 5] [2, 5] ---------- = ------ [1, 16, 9] [1, 9] denominator=, [1, 16, 11] [16, 14] [14] ----------- = ------- [1, 16, 11] [1, 11] [2, 16, 8] [2, 8] ----------- = ------- [1, 16, 11] [1, 11] [4, 16, 2] [4, 2] ----------- = ------- [1, 16, 11] [1, 11] denominator=, [1, 16, 13] [16, 15] [15] ----------- = ------- [1, 16, 13] [1, 13] [2, 16, 11] [2, 11] ----------- = ------- [1, 16, 13] [1, 13] [4, 16, 7] [4, 7] ----------- = ------- [1, 16, 13] [1, 13] [6, 16, 3] [6, 3] ----------- = ------- [1, 16, 13] [1, 13] denominator=, [2, 8, 1] [8, 7] [7] --------- = ------ [2, 8, 1] [2, 1] [1, 8, 4] [1, 4] --------- = ------ [2, 8, 1] [2, 1] denominator=, [2, 16, 2] [16, 12] [12] ---------- = ------ [2, 16, 2] [2, 2] [1, 16, 7] [1, 7] ---------- = ------ [2, 16, 2] [2, 2] denominator=, [2, 16, 5] [16, 13] [13] ---------- = ------ [2, 16, 5] [2, 5] [1, 16, 9] [1, 9] ---------- = ------ [2, 16, 5] [2, 5] [3, 16, 1] [3, 1] ---------- = ------ [2, 16, 5] [2, 5] denominator=, [2, 16, 8] [16, 14] [14] ---------- = ------ [2, 16, 8] [2, 8] [1, 16, 11] [1, 11] ----------- = ------- [2, 16, 8] [2, 8] [3, 16, 5] [3, 5] ---------- = ------ [2, 16, 8] [2, 8] [4, 16, 2] [4, 2] ---------- = ------ [2, 16, 8] [2, 8] denominator=, [2, 16, 11] [16, 15] [15] ----------- = ------- [2, 16, 11] [2, 11] [1, 16, 13] [1, 13] ----------- = ------- [2, 16, 11] [2, 11] [3, 16, 9] [3, 9] ----------- = ------- [2, 16, 11] [2, 11] [4, 16, 7] [4, 7] ----------- = ------- [2, 16, 11] [2, 11] [6, 16, 3] [6, 3] ----------- = ------- [2, 16, 11] [2, 11] [7, 16, 1] [7, 1] ----------- = ------- [2, 16, 11] [2, 11] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [12, 6, 5] [12, 5] ---------- = ------- [3, 6, 6] [3, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] [2, 14, 6, 1] [2, 14, 1] ------------- = ---------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 4] [12, 11] [11] ---------- = ------ [3, 12, 4] [3, 4] denominator=, [3, 12, 12] [8, 12, 11] [8, 11] ----------- = ------- [3, 12, 12] [3, 12] [13, 12, 10] [13, 10] ------------ = -------- [3, 12, 12] [3, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [1, 11, 12, 7] [1, 11, 7] -------------- = ---------- [3, 12, 12] [3, 12] [2, 4, 12, 5] [2, 4, 5] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] [3, 2, 12, 2] [3, 2, 2] ------------- = --------- [3, 12, 12] [3, 12] [3, 7, 12, 1] [3, 7, 1] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [3, 16, 1] [16, 13] [13] ---------- = ------ [3, 16, 1] [3, 1] [1, 16, 9] [1, 9] ---------- = ------ [3, 16, 1] [3, 1] [2, 16, 5] [2, 5] ---------- = ------ [3, 16, 1] [3, 1] denominator=, [3, 16, 3] [1, 16, 10] [1, 10] ----------- = ------- [3, 16, 3] [3, 3] denominator=, [3, 16, 5] [16, 14] [14] ---------- = ------ [3, 16, 5] [3, 5] [1, 16, 11] [1, 11] ----------- = ------- [3, 16, 5] [3, 5] [2, 16, 8] [2, 8] ---------- = ------ [3, 16, 5] [3, 5] [4, 16, 2] [4, 2] ---------- = ------ [3, 16, 5] [3, 5] denominator=, [3, 16, 7] [1, 16, 12] [1, 12] ----------- = ------- [3, 16, 7] [3, 7] [5, 16, 2] [5, 2] ---------- = ------ [3, 16, 7] [3, 7] denominator=, [3, 16, 9] [16, 15] [15] ---------- = ------ [3, 16, 9] [3, 9] [1, 16, 13] [1, 13] ----------- = ------- [3, 16, 9] [3, 9] [2, 16, 11] [2, 11] ----------- = ------- [3, 16, 9] [3, 9] [4, 16, 7] [4, 7] ---------- = ------ [3, 16, 9] [3, 9] [5, 16, 5] [5, 5] ---------- = ------ [3, 16, 9] [3, 9] [6, 16, 3] [6, 3] ---------- = ------ [3, 16, 9] [3, 9] denominator=, [3, 16, 11] [1, 16, 14] [1, 14] ----------- = ------- [3, 16, 11] [3, 11] [5, 16, 8] [5, 8] ----------- = ------- [3, 16, 11] [3, 11] [9, 16, 2] [9, 2] ----------- = ------- [3, 16, 11] [3, 11] denominator=, [3, 16, 15] [1, 16, 16] [1, 16] ----------- = ------- [3, 16, 15] [3, 15] [5, 16, 14] [5, 14] ----------- = ------- [3, 16, 15] [3, 15] [9, 16, 12] [9, 12] ----------- = ------- [3, 16, 15] [3, 15] [13, 16, 10] [13, 10] ------------ = -------- [3, 16, 15] [3, 15] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [3, 16, 15] [3, 15] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [3, 16, 15] [3, 15] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [3, 16, 15] [3, 15] [1, 12, 16, 2] [1, 12, 2] -------------- = ---------- [3, 16, 15] [3, 15] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [3, 16, 15] [3, 15] denominator=, [4, 8, 1] [1, 8, 6] [1, 6] --------- = ------ [4, 8, 1] [4, 1] denominator=, [4, 8, 7] [1, 8, 8] [1, 8] --------- = ------ [4, 8, 7] [4, 7] [7, 8, 6] [7, 6] --------- = ------ [4, 8, 7] [4, 7] [10, 8, 5] [10, 5] ---------- = ------- [4, 8, 7] [4, 7] [16, 8, 3] [16, 3] ---------- = ------- [4, 8, 7] [4, 7] [1, 2, 8, 2] [1, 2, 2] ------------ = --------- [4, 8, 7] [4, 7] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [4, 8, 7] [4, 7] denominator=, [4, 11, 10] [1, 12, 11, 1] [1, 12, 1] -------------- = ---------- [4, 11, 10] [4, 10] denominator=, [4, 14, 13] [1, 0, 14, 8] [1, 0, 8] ------------- = --------- [4, 14, 13] [4, 13] [1, 13, 14, 3] [1, 13, 3] -------------- = ---------- [4, 14, 13] [4, 13] denominator=, [4, 16, 2] [16, 14] [14] ---------- = ------ [4, 16, 2] [4, 2] [1, 16, 11] [1, 11] ----------- = ------- [4, 16, 2] [4, 2] [2, 16, 8] [2, 8] ---------- = ------ [4, 16, 2] [4, 2] [3, 16, 5] [3, 5] ---------- = ------ [4, 16, 2] [4, 2] denominator=, [4, 16, 7] [16, 15] [15] ---------- = ------ [4, 16, 7] [4, 7] [1, 16, 13] [1, 13] ----------- = ------- [4, 16, 7] [4, 7] [2, 16, 11] [2, 11] ----------- = ------- [4, 16, 7] [4, 7] [3, 16, 9] [3, 9] ---------- = ------ [4, 16, 7] [4, 7] [5, 16, 5] [5, 5] ---------- = ------ [4, 16, 7] [4, 7] [6, 16, 3] [6, 3] ---------- = ------ [4, 16, 7] [4, 7] [7, 16, 1] [7, 1] ---------- = ------ [4, 16, 7] [4, 7] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 8] [1, 3, 10, 1] [1, 3, 1] ------------- = --------- [5, 10, 8] [5, 8] denominator=, [5, 10, 10] [14, 10, 9] [14, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 15, 10, 7] [1, 15, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 0, 10, 3] [4, 0, 3] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 1, 10, 1] [5, 1, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [5, 16, 1] [2, 16, 9] [2, 9] ---------- = ------ [5, 16, 1] [5, 1] denominator=, [5, 16, 2] [1, 16, 12] [1, 12] ----------- = ------- [5, 16, 2] [5, 2] [3, 16, 7] [3, 7] ---------- = ------ [5, 16, 2] [5, 2] denominator=, [5, 16, 3] [2, 16, 10] [2, 10] ----------- = ------- [5, 16, 3] [5, 3] denominator=, [5, 16, 5] [16, 15] [15] ---------- = ------ [5, 16, 5] [5, 5] [1, 16, 13] [1, 13] ----------- = ------- [5, 16, 5] [5, 5] [2, 16, 11] [2, 11] ----------- = ------- [5, 16, 5] [5, 5] [3, 16, 9] [3, 9] ---------- = ------ [5, 16, 5] [5, 5] [4, 16, 7] [4, 7] ---------- = ------ [5, 16, 5] [5, 5] [6, 16, 3] [6, 3] ---------- = ------ [5, 16, 5] [5, 5] [7, 16, 1] [7, 1] ---------- = ------ [5, 16, 5] [5, 5] denominator=, [5, 16, 7] [2, 16, 12] [2, 12] ----------- = ------- [5, 16, 7] [5, 7] [8, 16, 2] [8, 2] ---------- = ------ [5, 16, 7] [5, 7] denominator=, [5, 16, 8] [1, 16, 14] [1, 14] ----------- = ------- [5, 16, 8] [5, 8] [3, 16, 11] [3, 11] ----------- = ------- [5, 16, 8] [5, 8] [7, 16, 5] [7, 5] ---------- = ------ [5, 16, 8] [5, 8] [9, 16, 2] [9, 2] ---------- = ------ [5, 16, 8] [5, 8] denominator=, [5, 16, 9] [2, 16, 13] [2, 13] ----------- = ------- [5, 16, 9] [5, 9] [8, 16, 5] [8, 5] ---------- = ------ [5, 16, 9] [5, 9] denominator=, [5, 16, 13] [2, 16, 15] [2, 15] ----------- = ------- [5, 16, 13] [5, 13] [8, 16, 11] [8, 11] ----------- = ------- [5, 16, 13] [5, 13] [14, 16, 7] [14, 7] ----------- = ------- [5, 16, 13] [5, 13] [1, 3, 16, 3] [1, 3, 3] ------------- = --------- [5, 16, 13] [5, 13] denominator=, [5, 16, 14] [1, 16, 16] [1, 16] ----------- = ------- [5, 16, 14] [5, 14] [3, 16, 15] [3, 15] ----------- = ------- [5, 16, 14] [5, 14] [7, 16, 13] [7, 13] ----------- = ------- [5, 16, 14] [5, 14] [9, 16, 12] [9, 12] ----------- = ------- [5, 16, 14] [5, 14] [13, 16, 10] [13, 10] ------------ = -------- [5, 16, 14] [5, 14] [15, 16, 9] [15, 9] ----------- = ------- [5, 16, 14] [5, 14] [1, 2, 16, 7] [1, 2, 7] ------------- = --------- [5, 16, 14] [5, 14] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [5, 16, 14] [5, 14] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [5, 16, 14] [5, 14] [1, 10, 16, 3] [1, 10, 3] -------------- = ---------- [5, 16, 14] [5, 14] [1, 14, 16, 1] [1, 14, 1] -------------- = ---------- [5, 16, 14] [5, 14] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [5, 16, 14] [5, 14] denominator=, [5, 16, 15] [2, 16, 16] [2, 16] ----------- = ------- [5, 16, 15] [5, 15] [8, 16, 14] [8, 14] ----------- = ------- [5, 16, 15] [5, 15] [14, 16, 12] [14, 12] ------------ = -------- [5, 16, 15] [5, 15] [1, 3, 16, 10] [1, 3, 10] -------------- = ---------- [5, 16, 15] [5, 15] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [5, 16, 15] [5, 15] [1, 15, 16, 6] [1, 15, 6] -------------- = ---------- [5, 16, 15] [5, 15] [2, 4, 16, 4] [2, 4, 4] ------------- = --------- [5, 16, 15] [5, 15] [2, 10, 16, 2] [2, 10, 2] -------------- = ---------- [5, 16, 15] [5, 15] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [5, 16, 15] [5, 15] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 3] [1, 4, 4] [1, 4] --------- = ------ [6, 4, 3] [6, 3] [11, 4, 2] [11, 2] ---------- = ------- [6, 4, 3] [6, 3] [16, 4, 1] [16, 1] ---------- = ------- [6, 4, 3] [6, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [6, 4, 3] [6, 3] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 9, 8] [1, 10, 9, 3] [1, 10, 3] ------------- = ---------- [6, 9, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 12, 9] [15, 12, 4] [15, 4] ----------- = ------- [6, 12, 9] [6, 9] denominator=, [6, 12, 12] [15, 12, 11] [15, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 0, 12, 7] [3, 0, 7] ------------- = --------- [6, 12, 12] [6, 12] [4, 1, 12, 5] [4, 1, 5] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] [6, 3, 12, 1] [6, 3, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 14, 13] [1, 0, 14, 10] [1, 0, 10] -------------- = ---------- [6, 14, 13] [6, 13] [1, 11, 14, 7] [1, 11, 7] -------------- = ---------- [6, 14, 13] [6, 13] [2, 5, 14, 4] [2, 5, 4] ------------- = --------- [6, 14, 13] [6, 13] [2, 16, 14, 1] [2, 16, 1] -------------- = ---------- [6, 14, 13] [6, 13] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [6, 16, 3] [16, 15] [15] ---------- = ------ [6, 16, 3] [6, 3] [1, 16, 13] [1, 13] ----------- = ------- [6, 16, 3] [6, 3] [2, 16, 11] [2, 11] ----------- = ------- [6, 16, 3] [6, 3] [3, 16, 9] [3, 9] ---------- = ------ [6, 16, 3] [6, 3] [4, 16, 7] [4, 7] ---------- = ------ [6, 16, 3] [6, 3] [5, 16, 5] [5, 5] ---------- = ------ [6, 16, 3] [6, 3] [7, 16, 1] [7, 1] ---------- = ------ [6, 16, 3] [6, 3] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 8, 4] [2, 8, 7] [2, 7] --------- = ------ [7, 8, 4] [7, 4] [12, 8, 1] [12, 1] ---------- = ------- [7, 8, 4] [7, 4] denominator=, [7, 8, 6] [1, 8, 8] [1, 8] --------- = ------ [7, 8, 6] [7, 6] [4, 8, 7] [4, 7] --------- = ------ [7, 8, 6] [7, 6] [10, 8, 5] [10, 5] ---------- = ------- [7, 8, 6] [7, 6] [13, 8, 4] [13, 4] ---------- = ------- [7, 8, 6] [7, 6] [16, 8, 3] [16, 3] ---------- = ------- [7, 8, 6] [7, 6] [1, 2, 8, 2] [1, 2, 2] ------------ = --------- [7, 8, 6] [7, 6] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [7, 8, 6] [7, 6] denominator=, [7, 8, 7] [2, 8, 8] [2, 8] --------- = ------ [7, 8, 7] [7, 7] [12, 8, 6] [12, 6] ---------- = ------- [7, 8, 7] [7, 7] [1, 0, 8, 5] [1, 0, 5] ------------ = --------- [7, 8, 7] [7, 7] [1, 10, 8, 3] [1, 10, 3] ------------- = ---------- [7, 8, 7] [7, 7] [1, 15, 8, 2] [1, 15, 2] ------------- = ---------- [7, 8, 7] [7, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [7, 8, 7] [7, 7] denominator=, [7, 11, 10] [2, 14, 11, 1] [2, 14, 1] -------------- = ---------- [7, 11, 10] [7, 10] denominator=, [7, 13, 11] [1, 15, 13, 2] [1, 15, 2] -------------- = ---------- [7, 13, 11] [7, 11] denominator=, [7, 14, 13] [1, 11, 14, 8] [1, 11, 8] -------------- = ---------- [7, 14, 13] [7, 13] [2, 15, 14, 3] [2, 15, 3] -------------- = ---------- [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [16, 14, 13] [16, 13] ------------ = -------- [7, 14, 14] [7, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 0, 14, 11] [2, 0, 11] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 1, 14, 9] [3, 1, 9] ------------- = --------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 3, 14, 5] [5, 3, 5] ------------- = --------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 4, 14, 3] [6, 4, 3] ------------- = --------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] [7, 5, 14, 1] [7, 5, 1] ------------- = --------- [7, 14, 14] [7, 14] denominator=, [7, 16, 1] [16, 15] [15] ---------- = ------ [7, 16, 1] [7, 1] [1, 16, 13] [1, 13] ----------- = ------- [7, 16, 1] [7, 1] [2, 16, 11] [2, 11] ----------- = ------- [7, 16, 1] [7, 1] [3, 16, 9] [3, 9] ---------- = ------ [7, 16, 1] [7, 1] [4, 16, 7] [4, 7] ---------- = ------ [7, 16, 1] [7, 1] [5, 16, 5] [5, 5] ---------- = ------ [7, 16, 1] [7, 1] [6, 16, 3] [6, 3] ---------- = ------ [7, 16, 1] [7, 1] denominator=, [7, 16, 3] [3, 16, 10] [3, 10] ----------- = ------- [7, 16, 3] [7, 3] denominator=, [7, 16, 5] [1, 16, 14] [1, 14] ----------- = ------- [7, 16, 5] [7, 5] [3, 16, 11] [3, 11] ----------- = ------- [7, 16, 5] [7, 5] [5, 16, 8] [5, 8] ---------- = ------ [7, 16, 5] [7, 5] [9, 16, 2] [9, 2] ---------- = ------ [7, 16, 5] [7, 5] denominator=, [7, 16, 7] [3, 16, 12] [3, 12] ----------- = ------- [7, 16, 7] [7, 7] [11, 16, 2] [11, 2] ----------- = ------- [7, 16, 7] [7, 7] denominator=, [7, 16, 11] [3, 16, 14] [3, 14] ----------- = ------- [7, 16, 11] [7, 11] [11, 16, 8] [11, 8] ----------- = ------- [7, 16, 11] [7, 11] [1, 2, 16, 2] [1, 2, 2] ------------- = --------- [7, 16, 11] [7, 11] denominator=, [7, 16, 13] [1, 16, 16] [1, 16] ----------- = ------- [7, 16, 13] [7, 13] [3, 16, 15] [3, 15] ----------- = ------- [7, 16, 13] [7, 13] [5, 16, 14] [5, 14] ----------- = ------- [7, 16, 13] [7, 13] [9, 16, 12] [9, 12] ----------- = ------- [7, 16, 13] [7, 13] [11, 16, 11] [11, 11] ------------ = -------- [7, 16, 13] [7, 13] [13, 16, 10] [13, 10] ------------ = -------- [7, 16, 13] [7, 13] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [7, 16, 13] [7, 13] [1, 2, 16, 7] [1, 2, 7] ------------- = --------- [7, 16, 13] [7, 13] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [7, 16, 13] [7, 13] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [7, 16, 13] [7, 13] [1, 10, 16, 3] [1, 10, 3] -------------- = ---------- [7, 16, 13] [7, 13] [1, 12, 16, 2] [1, 12, 2] -------------- = ---------- [7, 16, 13] [7, 13] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [7, 16, 13] [7, 13] denominator=, [7, 16, 15] [3, 16, 16] [3, 16] ----------- = ------- [7, 16, 15] [7, 15] [11, 16, 14] [11, 14] ------------ = -------- [7, 16, 15] [7, 15] [1, 2, 16, 12] [1, 2, 12] -------------- = ---------- [7, 16, 15] [7, 15] [1, 10, 16, 10] [1, 10, 10] --------------- = ----------- [7, 16, 15] [7, 15] [2, 1, 16, 8] [2, 1, 8] ------------- = --------- [7, 16, 15] [7, 15] [2, 9, 16, 6] [2, 9, 6] ------------- = --------- [7, 16, 15] [7, 15] [3, 0, 16, 4] [3, 0, 4] ------------- = --------- [7, 16, 15] [7, 15] [3, 8, 16, 2] [3, 8, 2] ------------- = --------- [7, 16, 15] [7, 15] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [7, 16, 15] [7, 15] denominator=, [8, 5, 4] [1, 10, 5, 1] [1, 10, 1] ------------- = ---------- [8, 5, 4] [8, 4] denominator=, [8, 10, 8] [1, 14, 10, 1] [1, 14, 1] -------------- = ---------- [8, 10, 8] [8, 8] denominator=, [8, 12, 9] [1, 12, 12] [1, 12] ----------- = ------- [8, 12, 9] [8, 9] [15, 12, 6] [15, 6] ----------- = ------- [8, 12, 9] [8, 9] [1, 5, 12, 3] [1, 5, 3] ------------- = --------- [8, 12, 9] [8, 9] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [8, 12, 9] [8, 9] denominator=, [8, 12, 11] [3, 12, 12] [3, 12] ----------- = ------- [8, 12, 11] [8, 11] [13, 12, 10] [13, 10] ------------ = -------- [8, 12, 11] [8, 11] [1, 1, 12, 9] [1, 1, 9] ------------- = --------- [8, 12, 11] [8, 11] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [8, 12, 11] [8, 11] [1, 11, 12, 7] [1, 11, 7] -------------- = ---------- [8, 12, 11] [8, 11] [1, 16, 12, 6] [1, 16, 6] -------------- = ---------- [8, 12, 11] [8, 11] [2, 4, 12, 5] [2, 4, 5] ------------- = --------- [8, 12, 11] [8, 11] [2, 14, 12, 3] [2, 14, 3] -------------- = ---------- [8, 12, 11] [8, 11] [3, 2, 12, 2] [3, 2, 2] ------------- = --------- [8, 12, 11] [8, 11] [3, 7, 12, 1] [3, 7, 1] ------------- = --------- [8, 12, 11] [8, 11] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [8, 12, 11] [8, 11] denominator=, [8, 16, 2] [2, 16, 12] [2, 12] ----------- = ------- [8, 16, 2] [8, 2] [5, 16, 7] [5, 7] ---------- = ------ [8, 16, 2] [8, 2] denominator=, [8, 16, 5] [2, 16, 13] [2, 13] ----------- = ------- [8, 16, 5] [8, 5] [5, 16, 9] [5, 9] ---------- = ------ [8, 16, 5] [8, 5] [11, 16, 1] [11, 1] ----------- = ------- [8, 16, 5] [8, 5] denominator=, [8, 16, 11] [2, 16, 15] [2, 15] ----------- = ------- [8, 16, 11] [8, 11] [5, 16, 13] [5, 13] ----------- = ------- [8, 16, 11] [8, 11] [11, 16, 9] [11, 9] ----------- = ------- [8, 16, 11] [8, 11] [14, 16, 7] [14, 7] ----------- = ------- [8, 16, 11] [8, 11] [1, 3, 16, 3] [1, 3, 3] ------------- = --------- [8, 16, 11] [8, 11] [1, 6, 16, 1] [1, 6, 1] ------------- = --------- [8, 16, 11] [8, 11] denominator=, [8, 16, 14] [2, 16, 16] [2, 16] ----------- = ------- [8, 16, 14] [8, 14] [5, 16, 15] [5, 15] ----------- = ------- [8, 16, 14] [8, 14] [11, 16, 13] [11, 13] ------------ = -------- [8, 16, 14] [8, 14] [14, 16, 12] [14, 12] ------------ = -------- [8, 16, 14] [8, 14] [1, 3, 16, 10] [1, 3, 10] -------------- = ---------- [8, 16, 14] [8, 14] [1, 6, 16, 9] [1, 6, 9] ------------- = --------- [8, 16, 14] [8, 14] [1, 12, 16, 7] [1, 12, 7] -------------- = ---------- [8, 16, 14] [8, 14] [1, 15, 16, 6] [1, 15, 6] -------------- = ---------- [8, 16, 14] [8, 14] [2, 4, 16, 4] [2, 4, 4] ------------- = --------- [8, 16, 14] [8, 14] [2, 7, 16, 3] [2, 7, 3] ------------- = --------- [8, 16, 14] [8, 14] [2, 13, 16, 1] [2, 13, 1] -------------- = ---------- [8, 16, 14] [8, 14] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [8, 16, 14] [8, 14] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 0, 6, 5] [2, 0, 5] ------------ = --------- [9, 6, 6] [9, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] [7, 15, 6, 1] [7, 15, 1] ------------- = ---------- [9, 6, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 8] [1, 3, 10, 5] [1, 3, 5] ------------- = --------- [9, 10, 8] [9, 8] [1, 14, 10, 2] [1, 14, 2] -------------- = ---------- [9, 10, 8] [9, 8] denominator=, [9, 12, 9] [1, 5, 12, 4] [1, 5, 4] ------------- = --------- [9, 12, 9] [9, 9] denominator=, [9, 12, 12] [1, 5, 12, 11] [1, 5, 11] -------------- = ---------- [9, 12, 12] [9, 12] [2, 1, 12, 10] [2, 1, 10] -------------- = ---------- [9, 12, 12] [9, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [4, 6, 12, 7] [4, 6, 7] ------------- = --------- [9, 12, 12] [9, 12] [5, 15, 12, 5] [5, 15, 5] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] [8, 3, 12, 2] [8, 3, 2] ------------- = --------- [9, 12, 12] [9, 12] [8, 16, 12, 1] [8, 16, 1] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [9, 16, 1] [4, 16, 9] [4, 9] ---------- = ------ [9, 16, 1] [9, 1] denominator=, [9, 16, 2] [1, 16, 14] [1, 14] ----------- = ------- [9, 16, 2] [9, 2] [3, 16, 11] [3, 11] ----------- = ------- [9, 16, 2] [9, 2] [5, 16, 8] [5, 8] ---------- = ------ [9, 16, 2] [9, 2] [7, 16, 5] [7, 5] ---------- = ------ [9, 16, 2] [9, 2] denominator=, [9, 16, 3] [4, 16, 10] [4, 10] ----------- = ------- [9, 16, 3] [9, 3] denominator=, [9, 16, 5] [4, 16, 11] [4, 11] ----------- = ------- [9, 16, 5] [9, 5] denominator=, [9, 16, 9] [4, 16, 13] [4, 13] ----------- = ------- [9, 16, 9] [9, 9] [14, 16, 5] [14, 5] ----------- = ------- [9, 16, 9] [9, 9] denominator=, [9, 16, 11] [4, 16, 14] [4, 14] ----------- = ------- [9, 16, 11] [9, 11] [14, 16, 8] [14, 8] ----------- = ------- [9, 16, 11] [9, 11] [1, 7, 16, 2] [1, 7, 2] ------------- = --------- [9, 16, 11] [9, 11] denominator=, [9, 16, 12] [1, 16, 16] [1, 16] ----------- = ------- [9, 16, 12] [9, 12] [3, 16, 15] [3, 15] ----------- = ------- [9, 16, 12] [9, 12] [5, 16, 14] [5, 14] ----------- = ------- [9, 16, 12] [9, 12] [7, 16, 13] [7, 13] ----------- = ------- [9, 16, 12] [9, 12] [11, 16, 11] [11, 11] ------------ = -------- [9, 16, 12] [9, 12] [13, 16, 10] [13, 10] ------------ = -------- [9, 16, 12] [9, 12] [15, 16, 9] [15, 9] ----------- = ------- [9, 16, 12] [9, 12] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [9, 16, 12] [9, 12] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [9, 16, 12] [9, 12] [1, 6, 16, 5] [1, 6, 5] ------------- = --------- [9, 16, 12] [9, 12] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [9, 16, 12] [9, 12] [1, 10, 16, 3] [1, 10, 3] -------------- = ---------- [9, 16, 12] [9, 12] [1, 14, 16, 1] [1, 14, 1] -------------- = ---------- [9, 16, 12] [9, 12] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [9, 16, 12] [9, 12] denominator=, [9, 16, 13] [4, 16, 15] [4, 15] ----------- = ------- [9, 16, 13] [9, 13] [14, 16, 11] [14, 11] ------------ = -------- [9, 16, 13] [9, 13] [1, 7, 16, 7] [1, 7, 7] ------------- = --------- [9, 16, 13] [9, 13] [2, 0, 16, 3] [2, 0, 3] ------------- = --------- [9, 16, 13] [9, 13] denominator=, [9, 16, 15] [4, 16, 16] [4, 16] ----------- = ------- [9, 16, 15] [9, 15] [14, 16, 14] [14, 14] ------------ = -------- [9, 16, 15] [9, 15] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [9, 16, 15] [9, 15] [2, 0, 16, 10] [2, 0, 10] -------------- = ---------- [9, 16, 15] [9, 15] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [9, 16, 15] [9, 15] [3, 3, 16, 6] [3, 3, 6] ------------- = --------- [9, 16, 15] [9, 15] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [9, 16, 15] [9, 15] [4, 6, 16, 2] [4, 6, 2] ------------- = --------- [9, 16, 15] [9, 15] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [9, 16, 15] [9, 15] denominator=, [10, 2, 1] [1, 2, 2] [1, 2] ---------- = ------- [10, 2, 1] [10, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [10, 2, 1] [10, 1] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 8, 1] [3, 8, 6] [3, 6] ---------- = ------- [10, 8, 1] [10, 1] denominator=, [10, 8, 4] [3, 8, 7] [3, 7] ---------- = ------- [10, 8, 4] [10, 4] [1, 0, 8, 1] [1, 0, 1] ------------ = --------- [10, 8, 4] [10, 4] denominator=, [10, 8, 5] [1, 8, 8] [1, 8] ---------- = ------- [10, 8, 5] [10, 5] [4, 8, 7] [4, 7] ---------- = ------- [10, 8, 5] [10, 5] [7, 8, 6] [7, 6] ---------- = ------- [10, 8, 5] [10, 5] [13, 8, 4] [13, 4] ---------- = ------- [10, 8, 5] [10, 5] [16, 8, 3] [16, 3] ---------- = ------- [10, 8, 5] [10, 5] [1, 2, 8, 2] [1, 2, 2] ------------ = --------- [10, 8, 5] [10, 5] [1, 5, 8, 1] [1, 5, 1] ------------ = --------- [10, 8, 5] [10, 5] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [10, 8, 5] [10, 5] denominator=, [10, 8, 7] [3, 8, 8] [3, 8] ---------- = ------- [10, 8, 7] [10, 7] [1, 0, 8, 6] [1, 0, 6] ------------ = --------- [10, 8, 7] [10, 7] [1, 7, 8, 5] [1, 7, 5] ------------ = --------- [10, 8, 7] [10, 7] [2, 4, 8, 3] [2, 4, 3] ------------ = --------- [10, 8, 7] [10, 7] [2, 11, 8, 2] [2, 11, 2] ------------- = ---------- [10, 8, 7] [10, 7] [3, 8, 8, 0] [3, 8, 0] ------------ = --------- [10, 8, 7] [10, 7] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 11, 10] [1, 12, 11, 7] [1, 12, 7] -------------- = ---------- [10, 11, 10] [10, 10] [2, 14, 11, 4] [2, 14, 4] -------------- = ---------- [10, 11, 10] [10, 10] [3, 16, 11, 1] [3, 16, 1] -------------- = ---------- [10, 11, 10] [10, 10] denominator=, [10, 14, 13] [2, 5, 14, 8] [2, 5, 8] ------------- = --------- [10, 14, 13] [10, 13] [4, 0, 14, 3] [4, 0, 3] ------------- = --------- [10, 14, 13] [10, 13] denominator=, [10, 15, 12] [2, 1, 15, 3] [2, 1, 3] ------------- = --------- [10, 15, 12] [10, 12] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [11, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [11, 4, 2] [11, 2] [6, 4, 3] [6, 3] ---------- = ------- [11, 4, 2] [11, 2] [16, 4, 1] [16, 1] ---------- = ------- [11, 4, 2] [11, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [11, 4, 2] [11, 2] denominator=, [11, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [11, 4, 3] [11, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [11, 4, 3] [11, 3] [1, 12, 4, 1] [1, 12, 1] ------------- = ---------- [11, 4, 3] [11, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [11, 4, 3] [11, 3] denominator=, [11, 9, 8] [2, 14, 9, 3] [2, 14, 3] ------------- = ---------- [11, 9, 8] [11, 8] denominator=, [11, 10, 8] [2, 8, 10, 1] [2, 8, 1] ------------- = --------- [11, 10, 8] [11, 8] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 13, 11] [1, 15, 13, 6] [1, 15, 6] -------------- = ---------- [11, 13, 11] [11, 11] [3, 2, 13, 1] [3, 2, 1] ------------- = --------- [11, 13, 11] [11, 11] denominator=, [11, 14, 13] [1, 13, 14, 10] [1, 13, 10] --------------- = ----------- [11, 14, 13] [11, 13] [2, 15, 14, 7] [2, 15, 7] -------------- = ---------- [11, 14, 13] [11, 13] [4, 0, 14, 4] [4, 0, 4] ------------- = --------- [11, 14, 13] [11, 13] [5, 2, 14, 1] [5, 2, 1] ------------- = --------- [11, 14, 13] [11, 13] denominator=, [11, 16, 1] [2, 16, 13] [2, 13] ----------- = ------- [11, 16, 1] [11, 1] [5, 16, 9] [5, 9] ----------- = ------- [11, 16, 1] [11, 1] [8, 16, 5] [8, 5] ----------- = ------- [11, 16, 1] [11, 1] denominator=, [11, 16, 2] [3, 16, 12] [3, 12] ----------- = ------- [11, 16, 2] [11, 2] [7, 16, 7] [7, 7] ----------- = ------- [11, 16, 2] [11, 2] denominator=, [11, 16, 3] [5, 16, 10] [5, 10] ----------- = ------- [11, 16, 3] [11, 3] denominator=, [11, 16, 7] [5, 16, 12] [5, 12] ----------- = ------- [11, 16, 7] [11, 7] [1, 0, 16, 2] [1, 0, 2] ------------- = --------- [11, 16, 7] [11, 7] denominator=, [11, 16, 8] [3, 16, 14] [3, 14] ----------- = ------- [11, 16, 8] [11, 8] [7, 16, 11] [7, 11] ----------- = ------- [11, 16, 8] [11, 8] [15, 16, 5] [15, 5] ----------- = ------- [11, 16, 8] [11, 8] [1, 2, 16, 2] [1, 2, 2] ------------- = --------- [11, 16, 8] [11, 8] denominator=, [11, 16, 9] [2, 16, 15] [2, 15] ----------- = ------- [11, 16, 9] [11, 9] [5, 16, 13] [5, 13] ----------- = ------- [11, 16, 9] [11, 9] [8, 16, 11] [8, 11] ----------- = ------- [11, 16, 9] [11, 9] [14, 16, 7] [14, 7] ----------- = ------- [11, 16, 9] [11, 9] [1, 0, 16, 5] [1, 0, 5] ------------- = --------- [11, 16, 9] [11, 9] [1, 3, 16, 3] [1, 3, 3] ------------- = --------- [11, 16, 9] [11, 9] denominator=, [11, 16, 11] [1, 16, 16] [1, 16] ------------ = -------- [11, 16, 11] [11, 11] [3, 16, 15] [3, 15] ------------ = -------- [11, 16, 11] [11, 11] [5, 16, 14] [5, 14] ------------ = -------- [11, 16, 11] [11, 11] [7, 16, 13] [7, 13] ------------ = -------- [11, 16, 11] [11, 11] [9, 16, 12] [9, 12] ------------ = -------- [11, 16, 11] [11, 11] [13, 16, 10] [13, 10] ------------ = -------- [11, 16, 11] [11, 11] [15, 16, 9] [15, 9] ------------ = -------- [11, 16, 11] [11, 11] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [11, 16, 11] [11, 11] [1, 2, 16, 7] [1, 2, 7] ------------- = --------- [11, 16, 11] [11, 11] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [11, 16, 11] [11, 11] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [11, 16, 11] [11, 11] [1, 10, 16, 3] [1, 10, 3] -------------- = ---------- [11, 16, 11] [11, 11] [1, 12, 16, 2] [1, 12, 2] -------------- = ---------- [11, 16, 11] [11, 11] [1, 14, 16, 1] [1, 14, 1] -------------- = ---------- [11, 16, 11] [11, 11] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [11, 16, 11] [11, 11] denominator=, [11, 16, 13] [2, 16, 16] [2, 16] ------------ = -------- [11, 16, 13] [11, 13] [5, 16, 15] [5, 15] ------------ = -------- [11, 16, 13] [11, 13] [8, 16, 14] [8, 14] ------------ = -------- [11, 16, 13] [11, 13] [14, 16, 12] [14, 12] ------------ = -------- [11, 16, 13] [11, 13] [1, 0, 16, 11] [1, 0, 11] -------------- = ---------- [11, 16, 13] [11, 13] [1, 3, 16, 10] [1, 3, 10] -------------- = ---------- [11, 16, 13] [11, 13] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [11, 16, 13] [11, 13] [1, 12, 16, 7] [1, 12, 7] -------------- = ---------- [11, 16, 13] [11, 13] [1, 15, 16, 6] [1, 15, 6] -------------- = ---------- [11, 16, 13] [11, 13] [2, 4, 16, 4] [2, 4, 4] ------------- = --------- [11, 16, 13] [11, 13] [2, 7, 16, 3] [2, 7, 3] ------------- = --------- [11, 16, 13] [11, 13] [2, 10, 16, 2] [2, 10, 2] -------------- = ---------- [11, 16, 13] [11, 13] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [11, 16, 13] [11, 13] denominator=, [11, 16, 14] [3, 16, 16] [3, 16] ------------ = -------- [11, 16, 14] [11, 14] [7, 16, 15] [7, 15] ------------ = -------- [11, 16, 14] [11, 14] [15, 16, 13] [15, 13] ------------ = -------- [11, 16, 14] [11, 14] [1, 2, 16, 12] [1, 2, 12] -------------- = ---------- [11, 16, 14] [11, 14] [1, 10, 16, 10] [1, 10, 10] --------------- = ----------- [11, 16, 14] [11, 14] [1, 14, 16, 9] [1, 14, 9] -------------- = ---------- [11, 16, 14] [11, 14] [2, 5, 16, 7] [2, 5, 7] ------------- = --------- [11, 16, 14] [11, 14] [2, 9, 16, 6] [2, 9, 6] ------------- = --------- [11, 16, 14] [11, 14] [3, 0, 16, 4] [3, 0, 4] ------------- = --------- [11, 16, 14] [11, 14] [3, 4, 16, 3] [3, 4, 3] ------------- = --------- [11, 16, 14] [11, 14] [3, 12, 16, 1] [3, 12, 1] -------------- = ---------- [11, 16, 14] [11, 14] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [11, 16, 14] [11, 14] denominator=, [11, 16, 15] [5, 16, 16] [5, 16] ------------ = -------- [11, 16, 15] [11, 15] [1, 0, 16, 14] [1, 0, 14] -------------- = ---------- [11, 16, 15] [11, 15] [1, 12, 16, 12] [1, 12, 12] --------------- = ----------- [11, 16, 15] [11, 15] [2, 7, 16, 10] [2, 7, 10] -------------- = ---------- [11, 16, 15] [11, 15] [3, 2, 16, 8] [3, 2, 8] ------------- = --------- [11, 16, 15] [11, 15] [3, 14, 16, 6] [3, 14, 6] -------------- = ---------- [11, 16, 15] [11, 15] [4, 9, 16, 4] [4, 9, 4] ------------- = --------- [11, 16, 15] [11, 15] [5, 4, 16, 2] [5, 4, 2] ------------- = --------- [11, 16, 15] [11, 15] [5, 16, 16, 0] [5, 16, 0] -------------- = ---------- [11, 16, 15] [11, 15] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [12, 6, 3] [12, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [12, 6, 3] [12, 3] denominator=, [12, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [12, 6, 5] [12, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [12, 6, 5] [12, 5] [1, 13, 6, 3] [1, 13, 3] ------------- = ---------- [12, 6, 5] [12, 5] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [12, 6, 5] [12, 5] [2, 14, 6, 1] [2, 14, 1] ------------- = ---------- [12, 6, 5] [12, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [12, 6, 5] [12, 5] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 1] [2, 8, 7] [2, 7] ---------- = ------- [12, 8, 1] [12, 1] [7, 8, 4] [7, 4] ---------- = ------- [12, 8, 1] [12, 1] denominator=, [12, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [12, 8, 6] [12, 6] [7, 8, 7] [7, 7] ---------- = ------- [12, 8, 6] [12, 6] [1, 0, 8, 5] [1, 0, 5] ------------ = --------- [12, 8, 6] [12, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [12, 8, 6] [12, 6] [1, 10, 8, 3] [1, 10, 3] ------------- = ---------- [12, 8, 6] [12, 6] [1, 15, 8, 2] [1, 15, 2] ------------- = ---------- [12, 8, 6] [12, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [12, 8, 6] [12, 6] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 12, 9] [1, 12, 12, 4] [1, 12, 4] -------------- = ---------- [12, 12, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 13, 11] [3, 2, 13, 2] [3, 2, 2] ------------- = --------- [12, 13, 11] [12, 11] denominator=, [12, 15, 12] [2, 1, 15, 5] [2, 1, 5] ------------- = --------- [12, 15, 12] [12, 12] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [13, 8, 1] [4, 8, 6] [4, 6] ---------- = ------- [13, 8, 1] [13, 1] denominator=, [13, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [13, 8, 4] [13, 4] [4, 8, 7] [4, 7] ---------- = ------- [13, 8, 4] [13, 4] [7, 8, 6] [7, 6] ---------- = ------- [13, 8, 4] [13, 4] [10, 8, 5] [10, 5] ---------- = ------- [13, 8, 4] [13, 4] [16, 8, 3] [16, 3] ---------- = ------- [13, 8, 4] [13, 4] [1, 2, 8, 2] [1, 2, 2] ------------ = --------- [13, 8, 4] [13, 4] [1, 5, 8, 1] [1, 5, 1] ------------ = --------- [13, 8, 4] [13, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [13, 8, 4] [13, 4] denominator=, [13, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [13, 8, 7] [13, 7] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [13, 8, 7] [13, 7] [1, 14, 8, 5] [1, 14, 5] ------------- = ---------- [13, 8, 7] [13, 7] [2, 15, 8, 3] [2, 15, 3] ------------- = ---------- [13, 8, 7] [13, 7] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [13, 8, 7] [13, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [13, 8, 7] [13, 7] denominator=, [13, 11, 10] [5, 1, 11, 1] [5, 1, 1] ------------- = --------- [13, 11, 10] [13, 10] denominator=, [13, 12, 4] [2, 12, 11] [2, 11] ----------- = ------- [13, 12, 4] [13, 4] denominator=, [13, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [13, 12, 9] [13, 9] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [13, 12, 9] [13, 9] [2, 1, 12, 3] [2, 1, 3] ------------- = --------- [13, 12, 9] [13, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [13, 12, 9] [13, 9] denominator=, [13, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [13, 12, 10] [13, 10] [8, 12, 11] [8, 11] ------------ = -------- [13, 12, 10] [13, 10] [1, 1, 12, 9] [1, 1, 9] ------------- = --------- [13, 12, 10] [13, 10] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [13, 12, 10] [13, 10] [1, 11, 12, 7] [1, 11, 7] -------------- = ---------- [13, 12, 10] [13, 10] [1, 16, 12, 6] [1, 16, 6] -------------- = ---------- [13, 12, 10] [13, 10] [2, 4, 12, 5] [2, 4, 5] ------------- = --------- [13, 12, 10] [13, 10] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [13, 12, 10] [13, 10] [2, 14, 12, 3] [2, 14, 3] -------------- = ---------- [13, 12, 10] [13, 10] [3, 2, 12, 2] [3, 2, 2] ------------- = --------- [13, 12, 10] [13, 10] [3, 7, 12, 1] [3, 7, 1] ------------- = --------- [13, 12, 10] [13, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [13, 12, 10] [13, 10] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 13] [2, 16, 14, 8] [2, 16, 8] -------------- = ---------- [13, 14, 13] [13, 13] [5, 2, 14, 3] [5, 2, 3] ------------- = --------- [13, 14, 13] [13, 13] denominator=, [13, 16, 1] [6, 16, 9] [6, 9] ----------- = ------- [13, 16, 1] [13, 1] denominator=, [13, 16, 5] [6, 16, 11] [6, 11] ----------- = ------- [13, 16, 5] [13, 5] denominator=, [13, 16, 7] [6, 16, 12] [6, 12] ----------- = ------- [13, 16, 7] [13, 7] [1, 3, 16, 2] [1, 3, 2] ------------- = --------- [13, 16, 7] [13, 7] denominator=, [13, 16, 9] [6, 16, 13] [6, 13] ----------- = ------- [13, 16, 9] [13, 9] [1, 3, 16, 5] [1, 3, 5] ------------- = --------- [13, 16, 9] [13, 9] denominator=, [13, 16, 10] [1, 16, 16] [1, 16] ------------ = -------- [13, 16, 10] [13, 10] [3, 16, 15] [3, 15] ------------ = -------- [13, 16, 10] [13, 10] [5, 16, 14] [5, 14] ------------ = -------- [13, 16, 10] [13, 10] [7, 16, 13] [7, 13] ------------ = -------- [13, 16, 10] [13, 10] [9, 16, 12] [9, 12] ------------ = -------- [13, 16, 10] [13, 10] [11, 16, 11] [11, 11] ------------ = -------- [13, 16, 10] [13, 10] [15, 16, 9] [15, 9] ------------ = -------- [13, 16, 10] [13, 10] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [13, 16, 10] [13, 10] [1, 2, 16, 7] [1, 2, 7] ------------- = --------- [13, 16, 10] [13, 10] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [13, 16, 10] [13, 10] [1, 6, 16, 5] [1, 6, 5] ------------- = --------- [13, 16, 10] [13, 10] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [13, 16, 10] [13, 10] [1, 12, 16, 2] [1, 12, 2] -------------- = ---------- [13, 16, 10] [13, 10] [1, 14, 16, 1] [1, 14, 1] -------------- = ---------- [13, 16, 10] [13, 10] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [13, 16, 10] [13, 10] denominator=, [13, 16, 11] [6, 16, 14] [6, 14] ------------ = -------- [13, 16, 11] [13, 11] [1, 3, 16, 8] [1, 3, 8] ------------- = --------- [13, 16, 11] [13, 11] [2, 0, 16, 2] [2, 0, 2] ------------- = --------- [13, 16, 11] [13, 11] denominator=, [13, 16, 13] [6, 16, 15] [6, 15] ------------ = -------- [13, 16, 13] [13, 13] [1, 3, 16, 11] [1, 3, 11] -------------- = ---------- [13, 16, 13] [13, 13] [2, 0, 16, 7] [2, 0, 7] ------------- = --------- [13, 16, 13] [13, 13] [2, 14, 16, 3] [2, 14, 3] -------------- = ---------- [13, 16, 13] [13, 13] denominator=, [13, 16, 15] [6, 16, 16] [6, 16] ------------ = -------- [13, 16, 15] [13, 15] [1, 3, 16, 14] [1, 3, 14] -------------- = ---------- [13, 16, 15] [13, 15] [2, 0, 16, 12] [2, 0, 12] -------------- = ---------- [13, 16, 15] [13, 15] [2, 14, 16, 10] [2, 14, 10] --------------- = ----------- [13, 16, 15] [13, 15] [3, 11, 16, 8] [3, 11, 8] -------------- = ---------- [13, 16, 15] [13, 15] [4, 8, 16, 6] [4, 8, 6] ------------- = --------- [13, 16, 15] [13, 15] [5, 5, 16, 4] [5, 5, 4] ------------- = --------- [13, 16, 15] [13, 15] [6, 2, 16, 2] [6, 2, 2] ------------- = --------- [13, 16, 15] [13, 15] [6, 16, 16, 0] [6, 16, 0] -------------- = ---------- [13, 16, 15] [13, 15] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [14, 10, 5] [14, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [14, 10, 5] [14, 5] denominator=, [14, 10, 8] [3, 2, 10, 1] [3, 2, 1] ------------- = --------- [14, 10, 8] [14, 8] denominator=, [14, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [14, 10, 9] [14, 9] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [14, 10, 9] [14, 9] [1, 15, 10, 7] [1, 15, 7] -------------- = ---------- [14, 10, 9] [14, 9] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [14, 10, 9] [14, 9] [2, 16, 10, 5] [2, 16, 5] -------------- = ---------- [14, 10, 9] [14, 9] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [14, 10, 9] [14, 9] [4, 0, 10, 3] [4, 0, 3] ------------- = --------- [14, 10, 9] [14, 9] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [14, 10, 9] [14, 9] [5, 1, 10, 1] [5, 1, 1] ------------- = --------- [14, 10, 9] [14, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [14, 10, 9] [14, 9] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 5] [4, 16, 13] [4, 13] ----------- = ------- [14, 16, 5] [14, 5] [9, 16, 9] [9, 9] ----------- = ------- [14, 16, 5] [14, 5] [1, 2, 16, 1] [1, 2, 1] ------------- = --------- [14, 16, 5] [14, 5] denominator=, [14, 16, 7] [2, 16, 15] [2, 15] ----------- = ------- [14, 16, 7] [14, 7] [5, 16, 13] [5, 13] ----------- = ------- [14, 16, 7] [14, 7] [8, 16, 11] [8, 11] ----------- = ------- [14, 16, 7] [14, 7] [11, 16, 9] [11, 9] ----------- = ------- [14, 16, 7] [14, 7] [1, 0, 16, 5] [1, 0, 5] ------------- = --------- [14, 16, 7] [14, 7] [1, 3, 16, 3] [1, 3, 3] ------------- = --------- [14, 16, 7] [14, 7] [1, 6, 16, 1] [1, 6, 1] ------------- = --------- [14, 16, 7] [14, 7] denominator=, [14, 16, 8] [4, 16, 14] [4, 14] ----------- = ------- [14, 16, 8] [14, 8] [9, 16, 11] [9, 11] ----------- = ------- [14, 16, 8] [14, 8] [1, 2, 16, 5] [1, 2, 5] ------------- = --------- [14, 16, 8] [14, 8] [1, 7, 16, 2] [1, 7, 2] ------------- = --------- [14, 16, 8] [14, 8] denominator=, [14, 16, 11] [4, 16, 15] [4, 15] ------------ = -------- [14, 16, 11] [14, 11] [9, 16, 13] [9, 13] ------------ = -------- [14, 16, 11] [14, 11] [1, 2, 16, 9] [1, 2, 9] ------------- = --------- [14, 16, 11] [14, 11] [1, 7, 16, 7] [1, 7, 7] ------------- = --------- [14, 16, 11] [14, 11] [2, 0, 16, 3] [2, 0, 3] ------------- = --------- [14, 16, 11] [14, 11] [2, 5, 16, 1] [2, 5, 1] ------------- = --------- [14, 16, 11] [14, 11] denominator=, [14, 16, 12] [2, 16, 16] [2, 16] ------------ = -------- [14, 16, 12] [14, 12] [5, 16, 15] [5, 15] ------------ = -------- [14, 16, 12] [14, 12] [8, 16, 14] [8, 14] ------------ = -------- [14, 16, 12] [14, 12] [11, 16, 13] [11, 13] ------------ = -------- [14, 16, 12] [14, 12] [1, 0, 16, 11] [1, 0, 11] -------------- = ---------- [14, 16, 12] [14, 12] [1, 3, 16, 10] [1, 3, 10] -------------- = ---------- [14, 16, 12] [14, 12] [1, 6, 16, 9] [1, 6, 9] ------------- = --------- [14, 16, 12] [14, 12] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [14, 16, 12] [14, 12] [1, 15, 16, 6] [1, 15, 6] -------------- = ---------- [14, 16, 12] [14, 12] [2, 1, 16, 5] [2, 1, 5] ------------- = --------- [14, 16, 12] [14, 12] [2, 4, 16, 4] [2, 4, 4] ------------- = --------- [14, 16, 12] [14, 12] [2, 7, 16, 3] [2, 7, 3] ------------- = --------- [14, 16, 12] [14, 12] [2, 13, 16, 1] [2, 13, 1] -------------- = ---------- [14, 16, 12] [14, 12] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [14, 16, 12] [14, 12] denominator=, [14, 16, 14] [4, 16, 16] [4, 16] ------------ = -------- [14, 16, 14] [14, 14] [9, 16, 15] [9, 15] ------------ = -------- [14, 16, 14] [14, 14] [1, 2, 16, 13] [1, 2, 13] -------------- = ---------- [14, 16, 14] [14, 14] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [14, 16, 14] [14, 14] [2, 0, 16, 10] [2, 0, 10] -------------- = ---------- [14, 16, 14] [14, 14] [2, 5, 16, 9] [2, 5, 9] ------------- = --------- [14, 16, 14] [14, 14] [2, 15, 16, 7] [2, 15, 7] -------------- = ---------- [14, 16, 14] [14, 14] [3, 3, 16, 6] [3, 3, 6] ------------- = --------- [14, 16, 14] [14, 14] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [14, 16, 14] [14, 14] [4, 1, 16, 3] [4, 1, 3] ------------- = --------- [14, 16, 14] [14, 14] [4, 11, 16, 1] [4, 11, 1] -------------- = ---------- [14, 16, 14] [14, 14] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [14, 16, 14] [14, 14] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 5, 4] [2, 16, 5, 1] [2, 16, 1] ------------- = ---------- [15, 5, 4] [15, 4] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [3, 5, 6, 5] [3, 5, 5] ------------ = --------- [15, 6, 6] [15, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] [12, 16, 6, 1] [12, 16, 1] -------------- = ----------- [15, 6, 6] [15, 6] denominator=, [15, 7, 5] [2, 0, 7, 2] [2, 0, 2] ------------ = --------- [15, 7, 5] [15, 5] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [2, 6, 10, 9] [2, 6, 9] ------------- = --------- [15, 10, 10] [15, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [5, 5, 10, 7] [5, 5, 7] ------------- = --------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [11, 3, 10, 3] [11, 3, 3] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] [14, 2, 10, 1] [14, 2, 1] -------------- = ---------- [15, 10, 10] [15, 10] denominator=, [15, 12, 4] [6, 12, 9] [6, 9] ----------- = ------- [15, 12, 4] [15, 4] denominator=, [15, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [15, 12, 6] [15, 6] [8, 12, 9] [8, 9] ----------- = ------- [15, 12, 6] [15, 6] [1, 5, 12, 3] [1, 5, 3] ------------- = --------- [15, 12, 6] [15, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [15, 12, 6] [15, 6] denominator=, [15, 12, 9] [2, 2, 12, 4] [2, 2, 4] ------------- = --------- [15, 12, 9] [15, 9] denominator=, [15, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [15, 12, 11] [15, 11] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [15, 12, 11] [15, 11] [1, 16, 12, 9] [1, 16, 9] -------------- = ---------- [15, 12, 11] [15, 11] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [15, 12, 11] [15, 11] [3, 0, 12, 7] [3, 0, 7] ------------- = --------- [15, 12, 11] [15, 11] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [15, 12, 11] [15, 11] [4, 1, 12, 5] [4, 1, 5] ------------- = --------- [15, 12, 11] [15, 11] [5, 2, 12, 3] [5, 2, 3] ------------- = --------- [15, 12, 11] [15, 11] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [15, 12, 11] [15, 11] [6, 3, 12, 1] [6, 3, 1] ------------- = --------- [15, 12, 11] [15, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [15, 12, 11] [15, 11] denominator=, [15, 12, 12] [2, 2, 12, 11] [2, 2, 11] -------------- = ---------- [15, 12, 12] [15, 12] [3, 6, 12, 10] [3, 6, 10] -------------- = ---------- [15, 12, 12] [15, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [7, 1, 12, 7] [7, 1, 7] ------------- = --------- [15, 12, 12] [15, 12] [9, 9, 12, 5] [9, 9, 5] ------------- = --------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] [13, 4, 12, 2] [13, 4, 2] -------------- = ---------- [15, 12, 12] [15, 12] [14, 8, 12, 1] [14, 8, 1] -------------- = ---------- [15, 12, 12] [15, 12] denominator=, [15, 13, 9] [2, 4, 13, 2] [2, 4, 2] ------------- = --------- [15, 13, 9] [15, 9] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 16, 3] [7, 16, 10] [7, 10] ----------- = ------- [15, 16, 3] [15, 3] denominator=, [15, 16, 5] [3, 16, 14] [3, 14] ----------- = ------- [15, 16, 5] [15, 5] [7, 16, 11] [7, 11] ----------- = ------- [15, 16, 5] [15, 5] [11, 16, 8] [11, 8] ----------- = ------- [15, 16, 5] [15, 5] [1, 2, 16, 2] [1, 2, 2] ------------- = --------- [15, 16, 5] [15, 5] denominator=, [15, 16, 7] [7, 16, 12] [7, 12] ----------- = ------- [15, 16, 7] [15, 7] [1, 6, 16, 2] [1, 6, 2] ------------- = --------- [15, 16, 7] [15, 7] denominator=, [15, 16, 9] [1, 16, 16] [1, 16] ----------- = ------- [15, 16, 9] [15, 9] [3, 16, 15] [3, 15] ----------- = ------- [15, 16, 9] [15, 9] [5, 16, 14] [5, 14] ----------- = ------- [15, 16, 9] [15, 9] [7, 16, 13] [7, 13] ----------- = ------- [15, 16, 9] [15, 9] [9, 16, 12] [9, 12] ----------- = ------- [15, 16, 9] [15, 9] [11, 16, 11] [11, 11] ------------ = -------- [15, 16, 9] [15, 9] [13, 16, 10] [13, 10] ------------ = -------- [15, 16, 9] [15, 9] [1, 0, 16, 8] [1, 0, 8] ------------- = --------- [15, 16, 9] [15, 9] [1, 2, 16, 7] [1, 2, 7] ------------- = --------- [15, 16, 9] [15, 9] [1, 4, 16, 6] [1, 4, 6] ------------- = --------- [15, 16, 9] [15, 9] [1, 6, 16, 5] [1, 6, 5] ------------- = --------- [15, 16, 9] [15, 9] [1, 8, 16, 4] [1, 8, 4] ------------- = --------- [15, 16, 9] [15, 9] [1, 10, 16, 3] [1, 10, 3] -------------- = ---------- [15, 16, 9] [15, 9] [1, 12, 16, 2] [1, 12, 2] -------------- = ---------- [15, 16, 9] [15, 9] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [15, 16, 9] [15, 9] denominator=, [15, 16, 11] [7, 16, 14] [7, 14] ------------ = -------- [15, 16, 11] [15, 11] [1, 6, 16, 8] [1, 6, 8] ------------- = --------- [15, 16, 11] [15, 11] [2, 5, 16, 2] [2, 5, 2] ------------- = --------- [15, 16, 11] [15, 11] denominator=, [15, 16, 13] [3, 16, 16] [3, 16] ------------ = -------- [15, 16, 13] [15, 13] [7, 16, 15] [7, 15] ------------ = -------- [15, 16, 13] [15, 13] [11, 16, 14] [11, 14] ------------ = -------- [15, 16, 13] [15, 13] [1, 2, 16, 12] [1, 2, 12] -------------- = ---------- [15, 16, 13] [15, 13] [1, 6, 16, 11] [1, 6, 11] -------------- = ---------- [15, 16, 13] [15, 13] [1, 10, 16, 10] [1, 10, 10] --------------- = ----------- [15, 16, 13] [15, 13] [2, 1, 16, 8] [2, 1, 8] ------------- = --------- [15, 16, 13] [15, 13] [2, 5, 16, 7] [2, 5, 7] ------------- = --------- [15, 16, 13] [15, 13] [2, 9, 16, 6] [2, 9, 6] ------------- = --------- [15, 16, 13] [15, 13] [3, 0, 16, 4] [3, 0, 4] ------------- = --------- [15, 16, 13] [15, 13] [3, 4, 16, 3] [3, 4, 3] ------------- = --------- [15, 16, 13] [15, 13] [3, 8, 16, 2] [3, 8, 2] ------------- = --------- [15, 16, 13] [15, 13] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [15, 16, 13] [15, 13] denominator=, [15, 16, 15] [7, 16, 16] [7, 16] ------------ = -------- [15, 16, 15] [15, 15] [1, 6, 16, 14] [1, 6, 14] -------------- = ---------- [15, 16, 15] [15, 15] [2, 5, 16, 12] [2, 5, 12] -------------- = ---------- [15, 16, 15] [15, 15] [3, 4, 16, 10] [3, 4, 10] -------------- = ---------- [15, 16, 15] [15, 15] [4, 3, 16, 8] [4, 3, 8] ------------- = --------- [15, 16, 15] [15, 15] [5, 2, 16, 6] [5, 2, 6] ------------- = --------- [15, 16, 15] [15, 15] [6, 1, 16, 4] [6, 1, 4] ------------- = --------- [15, 16, 15] [15, 15] [7, 0, 16, 2] [7, 0, 2] ------------- = --------- [15, 16, 15] [15, 15] [7, 16, 16, 0] [7, 16, 0] -------------- = ---------- [15, 16, 15] [15, 15] denominator=, [16, 4, 1] [1, 4, 4] [1, 4] ---------- = ------- [16, 4, 1] [16, 1] [6, 4, 3] [6, 3] ---------- = ------- [16, 4, 1] [16, 1] [11, 4, 2] [11, 2] ---------- = ------- [16, 4, 1] [16, 1] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [16, 4, 1] [16, 1] denominator=, [16, 4, 3] [3, 4, 4] [3, 4] ---------- = ------- [16, 4, 3] [16, 3] [1, 12, 4, 2] [1, 12, 2] ------------- = ---------- [16, 4, 3] [16, 3] [2, 8, 4, 1] [2, 8, 1] ------------ = --------- [16, 4, 3] [16, 3] [3, 4, 4, 0] [3, 4, 0] ------------ = --------- [16, 4, 3] [16, 3] denominator=, [16, 8, 1] [5, 8, 6] [5, 6] ---------- = ------- [16, 8, 1] [16, 1] denominator=, [16, 8, 3] [1, 8, 8] [1, 8] ---------- = ------- [16, 8, 3] [16, 3] [4, 8, 7] [4, 7] ---------- = ------- [16, 8, 3] [16, 3] [7, 8, 6] [7, 6] ---------- = ------- [16, 8, 3] [16, 3] [10, 8, 5] [10, 5] ---------- = ------- [16, 8, 3] [16, 3] [13, 8, 4] [13, 4] ---------- = ------- [16, 8, 3] [16, 3] [1, 2, 8, 2] [1, 2, 2] ------------ = --------- [16, 8, 3] [16, 3] [1, 5, 8, 1] [1, 5, 1] ------------ = --------- [16, 8, 3] [16, 3] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [16, 8, 3] [16, 3] denominator=, [16, 8, 4] [5, 8, 7] [5, 7] ---------- = ------- [16, 8, 4] [16, 4] [1, 10, 8, 1] [1, 10, 1] ------------- = ---------- [16, 8, 4] [16, 4] denominator=, [16, 8, 7] [5, 8, 8] [5, 8] ---------- = ------- [16, 8, 7] [16, 7] [1, 10, 8, 6] [1, 10, 6] ------------- = ---------- [16, 8, 7] [16, 7] [2, 4, 8, 5] [2, 4, 5] ------------ = --------- [16, 8, 7] [16, 7] [3, 9, 8, 3] [3, 9, 3] ------------ = --------- [16, 8, 7] [16, 7] [4, 3, 8, 2] [4, 3, 2] ------------ = --------- [16, 8, 7] [16, 7] [5, 8, 8, 0] [5, 8, 0] ------------ = --------- [16, 8, 7] [16, 7] denominator=, [16, 9, 8] [4, 1, 9, 3] [4, 1, 3] ------------ = --------- [16, 9, 8] [16, 8] denominator=, [16, 10, 8] [2, 1, 10, 5] [2, 1, 5] ------------- = --------- [16, 10, 8] [16, 8] [3, 3, 10, 2] [3, 3, 2] ------------- = --------- [16, 10, 8] [16, 8] denominator=, [16, 11, 10] [6, 3, 11, 1] [6, 3, 1] ------------- = --------- [16, 11, 10] [16, 10] denominator=, [16, 14, 7] [1, 14, 14] [1, 14] ----------- = ------- [16, 14, 7] [16, 7] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [16, 14, 7] [16, 7] denominator=, [16, 14, 13] [7, 14, 14] [7, 14] ------------ = -------- [16, 14, 13] [16, 13] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [16, 14, 13] [16, 13] [2, 0, 14, 11] [2, 0, 11] -------------- = ---------- [16, 14, 13] [16, 13] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [16, 14, 13] [16, 13] [3, 1, 14, 9] [3, 1, 9] ------------- = --------- [16, 14, 13] [16, 13] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [16, 14, 13] [16, 13] [4, 2, 14, 7] [4, 2, 7] ------------- = --------- [16, 14, 13] [16, 13] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [16, 14, 13] [16, 13] [5, 3, 14, 5] [5, 3, 5] ------------- = --------- [16, 14, 13] [16, 13] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [16, 14, 13] [16, 13] [6, 4, 14, 3] [6, 4, 3] ------------- = --------- [16, 14, 13] [16, 13] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [16, 14, 13] [16, 13] [7, 5, 14, 1] [7, 5, 1] ------------- = --------- [16, 14, 13] [16, 13] [7, 14, 14, 0] [7, 14, 0] -------------- = ---------- [16, 14, 13] [16, 13] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 1] [8, 6, 0] [6, 0] --------- = ------ [1, 8, 1] [1, 1] denominator=, [1, 8, 4] [8, 7, 0] [7, 0] --------- = ------ [1, 8, 4] [1, 4] [2, 8, 1, 0] [2, 1, 0] ------------ = --------- [1, 8, 4] [1, 4] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 4] [12, 9, 0] [9, 0] ---------- = ------ [1, 12, 4] [1, 4] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [1, 13, 12] [1, 12] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [1, 13, 12] [1, 12] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [1, 13, 12] [1, 12] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [1, 15, 14] [15, 15, 0] [15, 0] ----------- = ------- [1, 15, 14] [1, 14] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [1, 15, 14] [1, 14] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [1, 15, 14] [1, 14] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [1, 15, 14] [1, 14] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [1, 15, 14] [1, 14] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [1, 15, 14] [1, 14] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [1, 15, 14] [1, 14] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [1, 15, 14] [1, 14] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [1, 15, 14] [1, 14] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [1, 15, 14] [1, 14] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [1, 15, 14] [1, 14] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [1, 15, 14] [1, 14] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [1, 15, 14] [1, 14] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [1, 15, 14] [1, 14] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [1, 15, 14] [1, 14] denominator=, [1, 16, 1] [16, 9, 0] [9, 0] ---------- = ------ [1, 16, 1] [1, 1] denominator=, [1, 16, 3] [16, 10, 0] [10, 0] ----------- = ------- [1, 16, 3] [1, 3] denominator=, [1, 16, 5] [16, 11, 0] [11, 0] ----------- = ------- [1, 16, 5] [1, 5] denominator=, [1, 16, 7] [16, 12, 0] [12, 0] ----------- = ------- [1, 16, 7] [1, 7] [2, 16, 2, 0] [2, 2, 0] ------------- = --------- [1, 16, 7] [1, 7] denominator=, [1, 16, 9] [16, 13, 0] [13, 0] ----------- = ------- [1, 16, 9] [1, 9] [2, 16, 5, 0] [2, 5, 0] ------------- = --------- [1, 16, 9] [1, 9] denominator=, [1, 16, 11] [16, 14, 0] [14, 0] ----------- = ------- [1, 16, 11] [1, 11] [2, 16, 8, 0] [2, 8, 0] ------------- = --------- [1, 16, 11] [1, 11] [4, 16, 2, 0] [4, 2, 0] ------------- = --------- [1, 16, 11] [1, 11] denominator=, [1, 16, 13] [16, 15, 0] [15, 0] ----------- = ------- [1, 16, 13] [1, 13] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [1, 16, 13] [1, 13] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [1, 16, 13] [1, 13] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [1, 16, 13] [1, 13] denominator=, [1, 16, 15] [16, 16, 0] [16, 0] ----------- = ------- [1, 16, 15] [1, 15] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [1, 16, 15] [1, 15] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [1, 16, 15] [1, 15] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [1, 16, 15] [1, 15] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [1, 16, 15] [1, 15] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [1, 16, 15] [1, 15] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [1, 16, 15] [1, 15] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [1, 16, 15] [1, 15] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [1, 16, 15] [1, 15] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 1] [8, 7, 0] [7, 0] --------- = ------ [2, 8, 1] [2, 1] [1, 8, 4, 0] [1, 4, 0] ------------ = --------- [2, 8, 1] [2, 1] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [2, 14, 12] [14, 14, 0] [14, 0] ----------- = ------- [2, 14, 12] [2, 12] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [2, 14, 12] [2, 12] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [2, 14, 12] [2, 12] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [2, 14, 12] [2, 12] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [2, 14, 12] [2, 12] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [2, 14, 12] [2, 12] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [2, 14, 12] [2, 12] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [2, 14, 12] [2, 12] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [2, 14, 12] [2, 12] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [2, 14, 12] [2, 12] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [2, 14, 12] [2, 12] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [2, 14, 12] [2, 12] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [2, 14, 12] [2, 12] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [2, 14, 12] [2, 12] denominator=, [2, 15, 13] [15, 15, 0] [15, 0] ----------- = ------- [2, 15, 13] [2, 13] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [2, 15, 13] [2, 13] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [2, 15, 13] [2, 13] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [2, 15, 13] [2, 13] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [2, 15, 13] [2, 13] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [2, 15, 13] [2, 13] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [2, 15, 13] [2, 13] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [2, 15, 13] [2, 13] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [2, 15, 13] [2, 13] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [2, 15, 13] [2, 13] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [2, 15, 13] [2, 13] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [2, 15, 13] [2, 13] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [2, 15, 13] [2, 13] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [2, 15, 13] [2, 13] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [2, 15, 13] [2, 13] denominator=, [2, 16, 2] [16, 12, 0] [12, 0] ----------- = ------- [2, 16, 2] [2, 2] [1, 16, 7, 0] [1, 7, 0] ------------- = --------- [2, 16, 2] [2, 2] denominator=, [2, 16, 5] [16, 13, 0] [13, 0] ----------- = ------- [2, 16, 5] [2, 5] [1, 16, 9, 0] [1, 9, 0] ------------- = --------- [2, 16, 5] [2, 5] [3, 16, 1, 0] [3, 1, 0] ------------- = --------- [2, 16, 5] [2, 5] denominator=, [2, 16, 8] [16, 14, 0] [14, 0] ----------- = ------- [2, 16, 8] [2, 8] [1, 16, 11, 0] [1, 11, 0] -------------- = ---------- [2, 16, 8] [2, 8] [3, 16, 5, 0] [3, 5, 0] ------------- = --------- [2, 16, 8] [2, 8] [4, 16, 2, 0] [4, 2, 0] ------------- = --------- [2, 16, 8] [2, 8] denominator=, [2, 16, 11] [16, 15, 0] [15, 0] ----------- = ------- [2, 16, 11] [2, 11] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [2, 16, 11] [2, 11] [3, 16, 9, 0] [3, 9, 0] ------------- = --------- [2, 16, 11] [2, 11] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [2, 16, 11] [2, 11] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [2, 16, 11] [2, 11] [7, 16, 1, 0] [7, 1, 0] ------------- = --------- [2, 16, 11] [2, 11] denominator=, [2, 16, 14] [16, 16, 0] [16, 0] ----------- = ------- [2, 16, 14] [2, 14] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [2, 16, 14] [2, 14] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [2, 16, 14] [2, 14] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [2, 16, 14] [2, 14] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [2, 16, 14] [2, 14] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [2, 16, 14] [2, 14] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [2, 16, 14] [2, 14] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [2, 16, 14] [2, 14] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [2, 16, 14] [2, 14] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [2, 16, 14] [2, 14] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [2, 16, 14] [2, 14] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [2, 16, 14] [2, 14] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 6] [12, 6, 5, 0] [12, 5, 0] ------------- = ---------- [3, 6, 6] [3, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 14, 6, 1, 0] [2, 14, 1, 0] ---------------- = ------------- [3, 6, 6] [3, 6] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 4] [12, 11, 0] [11, 0] ----------- = ------- [3, 12, 4] [3, 4] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 12, 12] [8, 12, 11, 0] [8, 11, 0] -------------- = ---------- [3, 12, 12] [3, 12] [13, 12, 10, 0] [13, 10, 0] --------------- = ----------- [3, 12, 12] [3, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [1, 11, 12, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [3, 12, 12] [3, 12] [2, 4, 12, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 2, 12, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [3, 7, 12, 1, 0] [3, 7, 1, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [3, 15, 12] [15, 15, 0] [15, 0] ----------- = ------- [3, 15, 12] [3, 12] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [3, 15, 12] [3, 12] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [3, 15, 12] [3, 12] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [3, 15, 12] [3, 12] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [3, 15, 12] [3, 12] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [3, 15, 12] [3, 12] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [3, 15, 12] [3, 12] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [3, 15, 12] [3, 12] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [3, 15, 12] [3, 12] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [3, 15, 12] [3, 12] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [3, 15, 12] [3, 12] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [3, 15, 12] [3, 12] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [3, 15, 12] [3, 12] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [3, 15, 12] [3, 12] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [3, 15, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [2, 11, 15, 5, 0] [2, 11, 5, 0] ----------------- = ------------- [3, 15, 15] [3, 15] denominator=, [3, 16, 1] [16, 13, 0] [13, 0] ----------- = ------- [3, 16, 1] [3, 1] [1, 16, 9, 0] [1, 9, 0] ------------- = --------- [3, 16, 1] [3, 1] [2, 16, 5, 0] [2, 5, 0] ------------- = --------- [3, 16, 1] [3, 1] denominator=, [3, 16, 3] [1, 16, 10, 0] [1, 10, 0] -------------- = ---------- [3, 16, 3] [3, 3] denominator=, [3, 16, 5] [16, 14, 0] [14, 0] ----------- = ------- [3, 16, 5] [3, 5] [1, 16, 11, 0] [1, 11, 0] -------------- = ---------- [3, 16, 5] [3, 5] [2, 16, 8, 0] [2, 8, 0] ------------- = --------- [3, 16, 5] [3, 5] [4, 16, 2, 0] [4, 2, 0] ------------- = --------- [3, 16, 5] [3, 5] denominator=, [3, 16, 7] [1, 16, 12, 0] [1, 12, 0] -------------- = ---------- [3, 16, 7] [3, 7] [5, 16, 2, 0] [5, 2, 0] ------------- = --------- [3, 16, 7] [3, 7] denominator=, [3, 16, 9] [16, 15, 0] [15, 0] ----------- = ------- [3, 16, 9] [3, 9] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [3, 16, 9] [3, 9] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [3, 16, 9] [3, 9] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [3, 16, 9] [3, 9] [5, 16, 5, 0] [5, 5, 0] ------------- = --------- [3, 16, 9] [3, 9] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [3, 16, 9] [3, 9] denominator=, [3, 16, 11] [1, 16, 14, 0] [1, 14, 0] -------------- = ---------- [3, 16, 11] [3, 11] [5, 16, 8, 0] [5, 8, 0] ------------- = --------- [3, 16, 11] [3, 11] [9, 16, 2, 0] [9, 2, 0] ------------- = --------- [3, 16, 11] [3, 11] denominator=, [3, 16, 13] [16, 16, 0] [16, 0] ----------- = ------- [3, 16, 13] [3, 13] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [3, 16, 13] [3, 13] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [3, 16, 13] [3, 13] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [3, 16, 13] [3, 13] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [3, 16, 13] [3, 13] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [3, 16, 13] [3, 13] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [3, 16, 13] [3, 13] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [3, 16, 13] [3, 13] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [3, 16, 13] [3, 13] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [3, 16, 13] [3, 13] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [3, 16, 13] [3, 13] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [3, 16, 13] [3, 13] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [3, 16, 13] [3, 13] denominator=, [3, 16, 15] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [3, 16, 15] [3, 15] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [3, 16, 15] [3, 15] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [3, 16, 15] [3, 15] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [3, 16, 15] [3, 15] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [3, 16, 15] [3, 15] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [3, 16, 15] [3, 15] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [3, 16, 15] [3, 15] [1, 12, 16, 2, 0] [1, 12, 2, 0] ----------------- = ------------- [3, 16, 15] [3, 15] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [3, 16, 15] [3, 15] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 1] [1, 8, 6, 0] [1, 6, 0] ------------ = --------- [4, 8, 1] [4, 1] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [4, 8, 7] [4, 7] [7, 8, 6, 0] [7, 6, 0] ------------ = --------- [4, 8, 7] [4, 7] [10, 8, 5, 0] [10, 5, 0] ------------- = ---------- [4, 8, 7] [4, 7] [16, 8, 3, 0] [16, 3, 0] ------------- = ---------- [4, 8, 7] [4, 7] [1, 2, 8, 2, 0] [1, 2, 2, 0] --------------- = ------------ [4, 8, 7] [4, 7] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [4, 8, 7] [4, 7] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 11, 10] [1, 12, 11, 1, 0] [1, 12, 1, 0] ----------------- = ------------- [4, 11, 10] [4, 10] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [4, 14, 10] [14, 14, 0] [14, 0] ----------- = ------- [4, 14, 10] [4, 10] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [4, 14, 10] [4, 10] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [4, 14, 10] [4, 10] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [4, 14, 10] [4, 10] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [4, 14, 10] [4, 10] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [4, 14, 10] [4, 10] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [4, 14, 10] [4, 10] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [4, 14, 10] [4, 10] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [4, 14, 10] [4, 10] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [4, 14, 10] [4, 10] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [4, 14, 10] [4, 10] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [4, 14, 10] [4, 10] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [4, 14, 10] [4, 10] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [4, 14, 10] [4, 10] denominator=, [4, 14, 13] [1, 0, 14, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [4, 14, 13] [4, 13] [1, 13, 14, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [4, 14, 13] [4, 13] denominator=, [4, 15, 11] [15, 15, 0] [15, 0] ----------- = ------- [4, 15, 11] [4, 11] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [4, 15, 11] [4, 11] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [4, 15, 11] [4, 11] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [4, 15, 11] [4, 11] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [4, 15, 11] [4, 11] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [4, 15, 11] [4, 11] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [4, 15, 11] [4, 11] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [4, 15, 11] [4, 11] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [4, 15, 11] [4, 11] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [4, 15, 11] [4, 11] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [4, 15, 11] [4, 11] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [4, 15, 11] [4, 11] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [4, 15, 11] [4, 11] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [4, 15, 11] [4, 11] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [4, 15, 11] [4, 11] denominator=, [4, 16, 2] [16, 14, 0] [14, 0] ----------- = ------- [4, 16, 2] [4, 2] [1, 16, 11, 0] [1, 11, 0] -------------- = ---------- [4, 16, 2] [4, 2] [2, 16, 8, 0] [2, 8, 0] ------------- = --------- [4, 16, 2] [4, 2] [3, 16, 5, 0] [3, 5, 0] ------------- = --------- [4, 16, 2] [4, 2] denominator=, [4, 16, 7] [16, 15, 0] [15, 0] ----------- = ------- [4, 16, 7] [4, 7] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [4, 16, 7] [4, 7] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [4, 16, 7] [4, 7] [3, 16, 9, 0] [3, 9, 0] ------------- = --------- [4, 16, 7] [4, 7] [5, 16, 5, 0] [5, 5, 0] ------------- = --------- [4, 16, 7] [4, 7] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [4, 16, 7] [4, 7] [7, 16, 1, 0] [7, 1, 0] ------------- = --------- [4, 16, 7] [4, 7] denominator=, [4, 16, 12] [16, 16, 0] [16, 0] ----------- = ------- [4, 16, 12] [4, 12] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [4, 16, 12] [4, 12] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [4, 16, 12] [4, 12] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [4, 16, 12] [4, 12] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [4, 16, 12] [4, 12] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [4, 16, 12] [4, 12] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [4, 16, 12] [4, 12] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [4, 16, 12] [4, 12] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [4, 16, 12] [4, 12] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [4, 16, 12] [4, 12] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [4, 16, 12] [4, 12] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [4, 16, 12] [4, 12] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [4, 16, 12] [4, 12] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [4, 16, 12] [4, 12] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 8] [1, 3, 10, 1, 0] [1, 3, 1, 0] ---------------- = ------------ [5, 10, 8] [5, 8] denominator=, [5, 10, 10] [14, 10, 9, 0] [14, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [1, 15, 10, 7, 0] [1, 15, 7, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 0, 10, 3, 0] [4, 0, 3, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 1, 10, 1, 0] [5, 1, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 15, 10] [15, 15, 0] [15, 0] ----------- = ------- [5, 15, 10] [5, 10] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [5, 15, 10] [5, 10] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [5, 15, 10] [5, 10] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [5, 15, 10] [5, 10] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [5, 15, 10] [5, 10] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [5, 15, 10] [5, 10] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [5, 15, 10] [5, 10] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [5, 15, 10] [5, 10] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [5, 15, 10] [5, 10] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [5, 15, 10] [5, 10] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [5, 15, 10] [5, 10] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [5, 15, 10] [5, 10] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [5, 15, 10] [5, 10] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [5, 15, 10] [5, 10] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [5, 15, 10] [5, 10] denominator=, [5, 15, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] denominator=, [5, 16, 1] [2, 16, 9, 0] [2, 9, 0] ------------- = --------- [5, 16, 1] [5, 1] denominator=, [5, 16, 2] [1, 16, 12, 0] [1, 12, 0] -------------- = ---------- [5, 16, 2] [5, 2] [3, 16, 7, 0] [3, 7, 0] ------------- = --------- [5, 16, 2] [5, 2] denominator=, [5, 16, 3] [2, 16, 10, 0] [2, 10, 0] -------------- = ---------- [5, 16, 3] [5, 3] denominator=, [5, 16, 5] [16, 15, 0] [15, 0] ----------- = ------- [5, 16, 5] [5, 5] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [5, 16, 5] [5, 5] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [5, 16, 5] [5, 5] [3, 16, 9, 0] [3, 9, 0] ------------- = --------- [5, 16, 5] [5, 5] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [5, 16, 5] [5, 5] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [5, 16, 5] [5, 5] [7, 16, 1, 0] [7, 1, 0] ------------- = --------- [5, 16, 5] [5, 5] denominator=, [5, 16, 7] [2, 16, 12, 0] [2, 12, 0] -------------- = ---------- [5, 16, 7] [5, 7] [8, 16, 2, 0] [8, 2, 0] ------------- = --------- [5, 16, 7] [5, 7] denominator=, [5, 16, 8] [1, 16, 14, 0] [1, 14, 0] -------------- = ---------- [5, 16, 8] [5, 8] [3, 16, 11, 0] [3, 11, 0] -------------- = ---------- [5, 16, 8] [5, 8] [7, 16, 5, 0] [7, 5, 0] ------------- = --------- [5, 16, 8] [5, 8] [9, 16, 2, 0] [9, 2, 0] ------------- = --------- [5, 16, 8] [5, 8] denominator=, [5, 16, 9] [2, 16, 13, 0] [2, 13, 0] -------------- = ---------- [5, 16, 9] [5, 9] [8, 16, 5, 0] [8, 5, 0] ------------- = --------- [5, 16, 9] [5, 9] denominator=, [5, 16, 11] [16, 16, 0] [16, 0] ----------- = ------- [5, 16, 11] [5, 11] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [5, 16, 11] [5, 11] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [5, 16, 11] [5, 11] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [5, 16, 11] [5, 11] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [5, 16, 11] [5, 11] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [5, 16, 11] [5, 11] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [5, 16, 11] [5, 11] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [5, 16, 11] [5, 11] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [5, 16, 11] [5, 11] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [5, 16, 11] [5, 11] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [5, 16, 11] [5, 11] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [5, 16, 11] [5, 11] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [5, 16, 11] [5, 11] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [5, 16, 11] [5, 11] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [5, 16, 11] [5, 11] denominator=, [5, 16, 13] [2, 16, 15, 0] [2, 15, 0] -------------- = ---------- [5, 16, 13] [5, 13] [8, 16, 11, 0] [8, 11, 0] -------------- = ---------- [5, 16, 13] [5, 13] [14, 16, 7, 0] [14, 7, 0] -------------- = ---------- [5, 16, 13] [5, 13] [1, 3, 16, 3, 0] [1, 3, 3, 0] ---------------- = ------------ [5, 16, 13] [5, 13] denominator=, [5, 16, 14] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [5, 16, 14] [5, 14] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [5, 16, 14] [5, 14] [7, 16, 13, 0] [7, 13, 0] -------------- = ---------- [5, 16, 14] [5, 14] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [5, 16, 14] [5, 14] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [5, 16, 14] [5, 14] [15, 16, 9, 0] [15, 9, 0] -------------- = ---------- [5, 16, 14] [5, 14] [1, 2, 16, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [5, 16, 14] [5, 14] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [5, 16, 14] [5, 14] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [5, 16, 14] [5, 14] [1, 10, 16, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [5, 16, 14] [5, 14] [1, 14, 16, 1, 0] [1, 14, 1, 0] ----------------- = ------------- [5, 16, 14] [5, 14] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [5, 16, 14] [5, 14] denominator=, [5, 16, 15] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [5, 16, 15] [5, 15] [8, 16, 14, 0] [8, 14, 0] -------------- = ---------- [5, 16, 15] [5, 15] [14, 16, 12, 0] [14, 12, 0] --------------- = ----------- [5, 16, 15] [5, 15] [1, 3, 16, 10, 0] [1, 3, 10, 0] ----------------- = ------------- [5, 16, 15] [5, 15] [1, 9, 16, 8, 0] [1, 9, 8, 0] ---------------- = ------------ [5, 16, 15] [5, 15] [1, 15, 16, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [5, 16, 15] [5, 15] [2, 4, 16, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [5, 16, 15] [5, 15] [2, 10, 16, 2, 0] [2, 10, 2, 0] ----------------- = ------------- [5, 16, 15] [5, 15] [2, 16, 16, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [5, 16, 15] [5, 15] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 4, 3] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [6, 4, 3] [6, 3] [11, 4, 2, 0] [11, 2, 0] ------------- = ---------- [6, 4, 3] [6, 3] [16, 4, 1, 0] [16, 1, 0] ------------- = ---------- [6, 4, 3] [6, 3] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [6, 4, 3] [6, 3] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 11] [1, 5, 11] ------------- = ---------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 9] [5, 3, 9] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 8] [7, 2, 8] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 16] [8, 1, 16] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 15] [10, 0, 15] -------------- = ----------- [6, 6, 3] [6, 3] [11, 6, 0, 6] [11, 0, 6] ------------- = ---------- [6, 6, 3] [6, 3] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 8] [1, 10, 9, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [6, 9, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 12, 9] [15, 12, 4, 0] [15, 4, 0] -------------- = ---------- [6, 12, 9] [6, 9] denominator=, [6, 12, 12] [15, 12, 11, 0] [15, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [3, 0, 12, 7, 0] [3, 0, 7, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 1, 12, 5, 0] [4, 1, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [6, 3, 12, 1, 0] [6, 3, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [6, 14, 13] [1, 0, 14, 10, 0] [1, 0, 10, 0] ----------------- = ------------- [6, 14, 13] [6, 13] [1, 11, 14, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [6, 14, 13] [6, 13] [2, 5, 14, 4, 0] [2, 5, 4, 0] ---------------- = ------------ [6, 14, 13] [6, 13] [2, 16, 14, 1, 0] [2, 16, 1, 0] ----------------- = ------------- [6, 14, 13] [6, 13] denominator=, [6, 15, 9] [15, 15, 0] [15, 0] ----------- = ------- [6, 15, 9] [6, 9] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [6, 15, 9] [6, 9] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [6, 15, 9] [6, 9] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [6, 15, 9] [6, 9] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [6, 15, 9] [6, 9] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [6, 15, 9] [6, 9] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [6, 15, 9] [6, 9] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [6, 15, 9] [6, 9] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [6, 15, 9] [6, 9] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [6, 15, 9] [6, 9] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [6, 15, 9] [6, 9] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [6, 15, 9] [6, 9] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [6, 15, 9] [6, 9] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [6, 15, 9] [6, 9] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [6, 15, 9] [6, 9] denominator=, [6, 15, 15] [2, 9, 15, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [6, 15, 15] [6, 15] [4, 12, 15, 5, 0] [4, 12, 5, 0] ----------------- = ------------- [6, 15, 15] [6, 15] denominator=, [6, 16, 3] [16, 15, 0] [15, 0] ----------- = ------- [6, 16, 3] [6, 3] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [6, 16, 3] [6, 3] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [6, 16, 3] [6, 3] [3, 16, 9, 0] [3, 9, 0] ------------- = --------- [6, 16, 3] [6, 3] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [6, 16, 3] [6, 3] [5, 16, 5, 0] [5, 5, 0] ------------- = --------- [6, 16, 3] [6, 3] [7, 16, 1, 0] [7, 1, 0] ------------- = --------- [6, 16, 3] [6, 3] denominator=, [6, 16, 10] [16, 16, 0] [16, 0] ----------- = ------- [6, 16, 10] [6, 10] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [6, 16, 10] [6, 10] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [6, 16, 10] [6, 10] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [6, 16, 10] [6, 10] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [6, 16, 10] [6, 10] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [6, 16, 10] [6, 10] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [6, 16, 10] [6, 10] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [6, 16, 10] [6, 10] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [6, 16, 10] [6, 10] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [6, 16, 10] [6, 10] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [6, 16, 10] [6, 10] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [6, 16, 10] [6, 10] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [6, 16, 10] [6, 10] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [6, 16, 10] [6, 10] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [6, 16, 10] [6, 10] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 8, 4] [2, 8, 7, 0] [2, 7, 0] ------------ = --------- [7, 8, 4] [7, 4] [12, 8, 1, 0] [12, 1, 0] ------------- = ---------- [7, 8, 4] [7, 4] denominator=, [7, 8, 6] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [7, 8, 6] [7, 6] [4, 8, 7, 0] [4, 7, 0] ------------ = --------- [7, 8, 6] [7, 6] [10, 8, 5, 0] [10, 5, 0] ------------- = ---------- [7, 8, 6] [7, 6] [13, 8, 4, 0] [13, 4, 0] ------------- = ---------- [7, 8, 6] [7, 6] [16, 8, 3, 0] [16, 3, 0] ------------- = ---------- [7, 8, 6] [7, 6] [1, 2, 8, 2, 0] [1, 2, 2, 0] --------------- = ------------ [7, 8, 6] [7, 6] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [7, 8, 6] [7, 6] denominator=, [7, 8, 7] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [7, 8, 7] [7, 7] [12, 8, 6, 0] [12, 6, 0] ------------- = ---------- [7, 8, 7] [7, 7] [1, 0, 8, 5, 0] [1, 0, 5, 0] --------------- = ------------ [7, 8, 7] [7, 7] [1, 10, 8, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [7, 8, 7] [7, 7] [1, 15, 8, 2, 0] [1, 15, 2, 0] ---------------- = ------------- [7, 8, 7] [7, 7] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [7, 8, 7] [7, 7] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 10] [2, 14, 11, 1, 0] [2, 14, 1, 0] ----------------- = ------------- [7, 11, 10] [7, 10] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 13, 11] [1, 15, 13, 2, 0] [1, 15, 2, 0] ----------------- = ------------- [7, 13, 11] [7, 11] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 13] [1, 11, 14, 8, 0] [1, 11, 8, 0] ----------------- = ------------- [7, 14, 13] [7, 13] [2, 15, 14, 3, 0] [2, 15, 3, 0] ----------------- = ------------- [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [16, 14, 13, 0] [16, 13, 0] --------------- = ----------- [7, 14, 14] [7, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 0, 14, 11, 0] [2, 0, 11, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 1, 14, 9, 0] [3, 1, 9, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 3, 14, 5, 0] [5, 3, 5, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 4, 14, 3, 0] [6, 4, 3, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [7, 5, 14, 1, 0] [7, 5, 1, 0] ---------------- = ------------ [7, 14, 14] [7, 14] denominator=, [7, 15, 8] [15, 15, 0] [15, 0] ----------- = ------- [7, 15, 8] [7, 8] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [7, 15, 8] [7, 8] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [7, 15, 8] [7, 8] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [7, 15, 8] [7, 8] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [7, 15, 8] [7, 8] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [7, 15, 8] [7, 8] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [7, 15, 8] [7, 8] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [7, 15, 8] [7, 8] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [7, 15, 8] [7, 8] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [7, 15, 8] [7, 8] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [7, 15, 8] [7, 8] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [7, 15, 8] [7, 8] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [7, 15, 8] [7, 8] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [7, 15, 8] [7, 8] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [7, 15, 8] [7, 8] denominator=, [7, 16, 1] [16, 15, 0] [15, 0] ----------- = ------- [7, 16, 1] [7, 1] [1, 16, 13, 0] [1, 13, 0] -------------- = ---------- [7, 16, 1] [7, 1] [2, 16, 11, 0] [2, 11, 0] -------------- = ---------- [7, 16, 1] [7, 1] [3, 16, 9, 0] [3, 9, 0] ------------- = --------- [7, 16, 1] [7, 1] [4, 16, 7, 0] [4, 7, 0] ------------- = --------- [7, 16, 1] [7, 1] [5, 16, 5, 0] [5, 5, 0] ------------- = --------- [7, 16, 1] [7, 1] [6, 16, 3, 0] [6, 3, 0] ------------- = --------- [7, 16, 1] [7, 1] denominator=, [7, 16, 3] [3, 16, 10, 0] [3, 10, 0] -------------- = ---------- [7, 16, 3] [7, 3] denominator=, [7, 16, 5] [1, 16, 14, 0] [1, 14, 0] -------------- = ---------- [7, 16, 5] [7, 5] [3, 16, 11, 0] [3, 11, 0] -------------- = ---------- [7, 16, 5] [7, 5] [5, 16, 8, 0] [5, 8, 0] ------------- = --------- [7, 16, 5] [7, 5] [9, 16, 2, 0] [9, 2, 0] ------------- = --------- [7, 16, 5] [7, 5] denominator=, [7, 16, 7] [3, 16, 12, 0] [3, 12, 0] -------------- = ---------- [7, 16, 7] [7, 7] [11, 16, 2, 0] [11, 2, 0] -------------- = ---------- [7, 16, 7] [7, 7] denominator=, [7, 16, 9] [16, 16, 0] [16, 0] ----------- = ------- [7, 16, 9] [7, 9] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [7, 16, 9] [7, 9] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [7, 16, 9] [7, 9] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [7, 16, 9] [7, 9] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [7, 16, 9] [7, 9] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [7, 16, 9] [7, 9] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [7, 16, 9] [7, 9] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [7, 16, 9] [7, 9] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [7, 16, 9] [7, 9] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [7, 16, 9] [7, 9] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [7, 16, 9] [7, 9] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [7, 16, 9] [7, 9] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [7, 16, 9] [7, 9] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [7, 16, 9] [7, 9] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [7, 16, 9] [7, 9] denominator=, [7, 16, 11] [3, 16, 14, 0] [3, 14, 0] -------------- = ---------- [7, 16, 11] [7, 11] [11, 16, 8, 0] [11, 8, 0] -------------- = ---------- [7, 16, 11] [7, 11] [1, 2, 16, 2, 0] [1, 2, 2, 0] ---------------- = ------------ [7, 16, 11] [7, 11] denominator=, [7, 16, 13] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [7, 16, 13] [7, 13] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [7, 16, 13] [7, 13] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [7, 16, 13] [7, 13] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [7, 16, 13] [7, 13] [11, 16, 11, 0] [11, 11, 0] --------------- = ----------- [7, 16, 13] [7, 13] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [7, 16, 13] [7, 13] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [7, 16, 13] [7, 13] [1, 2, 16, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [7, 16, 13] [7, 13] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [7, 16, 13] [7, 13] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [7, 16, 13] [7, 13] [1, 10, 16, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [7, 16, 13] [7, 13] [1, 12, 16, 2, 0] [1, 12, 2, 0] ----------------- = ------------- [7, 16, 13] [7, 13] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [7, 16, 13] [7, 13] denominator=, [7, 16, 15] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [7, 16, 15] [7, 15] [11, 16, 14, 0] [11, 14, 0] --------------- = ----------- [7, 16, 15] [7, 15] [1, 2, 16, 12, 0] [1, 2, 12, 0] ----------------- = ------------- [7, 16, 15] [7, 15] [1, 10, 16, 10, 0] [1, 10, 10, 0] ------------------ = -------------- [7, 16, 15] [7, 15] [2, 1, 16, 8, 0] [2, 1, 8, 0] ---------------- = ------------ [7, 16, 15] [7, 15] [2, 9, 16, 6, 0] [2, 9, 6, 0] ---------------- = ------------ [7, 16, 15] [7, 15] [3, 0, 16, 4, 0] [3, 0, 4, 0] ---------------- = ------------ [7, 16, 15] [7, 15] [3, 8, 16, 2, 0] [3, 8, 2, 0] ---------------- = ------------ [7, 16, 15] [7, 15] [3, 16, 16, 0, 0] [3, 16, 0, 0] ----------------- = ------------- [7, 16, 15] [7, 15] denominator=, [8, 5, 4] [1, 10, 5, 1, 0] [1, 10, 1, 0] ---------------- = ------------- [8, 5, 4] [8, 4] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [1, 14, 10, 1, 0] [1, 14, 1, 0] ----------------- = ------------- [8, 10, 8] [8, 8] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 9] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [8, 12, 9] [8, 9] [15, 12, 6, 0] [15, 6, 0] -------------- = ---------- [8, 12, 9] [8, 9] [1, 5, 12, 3, 0] [1, 5, 3, 0] ---------------- = ------------ [8, 12, 9] [8, 9] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [8, 12, 9] [8, 9] denominator=, [8, 12, 11] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [8, 12, 11] [8, 11] [13, 12, 10, 0] [13, 10, 0] --------------- = ----------- [8, 12, 11] [8, 11] [1, 1, 12, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [8, 12, 11] [8, 11] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [8, 12, 11] [8, 11] [1, 11, 12, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [8, 12, 11] [8, 11] [1, 16, 12, 6, 0] [1, 16, 6, 0] ----------------- = ------------- [8, 12, 11] [8, 11] [2, 4, 12, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [8, 12, 11] [8, 11] [2, 14, 12, 3, 0] [2, 14, 3, 0] ----------------- = ------------- [8, 12, 11] [8, 11] [3, 2, 12, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [8, 12, 11] [8, 11] [3, 7, 12, 1, 0] [3, 7, 1, 0] ---------------- = ------------ [8, 12, 11] [8, 11] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [8, 12, 11] [8, 11] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 15, 7] [15, 15, 0] [15, 0] ----------- = ------- [8, 15, 7] [8, 7] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [8, 15, 7] [8, 7] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [8, 15, 7] [8, 7] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [8, 15, 7] [8, 7] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [8, 15, 7] [8, 7] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [8, 15, 7] [8, 7] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [8, 15, 7] [8, 7] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [8, 15, 7] [8, 7] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [8, 15, 7] [8, 7] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [8, 15, 7] [8, 7] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [8, 15, 7] [8, 7] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [8, 15, 7] [8, 7] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [8, 15, 7] [8, 7] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [8, 15, 7] [8, 7] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [8, 15, 7] [8, 7] denominator=, [8, 16, 2] [2, 16, 12, 0] [2, 12, 0] -------------- = ---------- [8, 16, 2] [8, 2] [5, 16, 7, 0] [5, 7, 0] ------------- = --------- [8, 16, 2] [8, 2] denominator=, [8, 16, 5] [2, 16, 13, 0] [2, 13, 0] -------------- = ---------- [8, 16, 5] [8, 5] [5, 16, 9, 0] [5, 9, 0] ------------- = --------- [8, 16, 5] [8, 5] [11, 16, 1, 0] [11, 1, 0] -------------- = ---------- [8, 16, 5] [8, 5] denominator=, [8, 16, 8] [16, 16, 0] [16, 0] ----------- = ------- [8, 16, 8] [8, 8] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [8, 16, 8] [8, 8] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [8, 16, 8] [8, 8] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [8, 16, 8] [8, 8] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [8, 16, 8] [8, 8] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [8, 16, 8] [8, 8] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [8, 16, 8] [8, 8] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [8, 16, 8] [8, 8] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [8, 16, 8] [8, 8] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [8, 16, 8] [8, 8] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [8, 16, 8] [8, 8] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [8, 16, 8] [8, 8] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [8, 16, 8] [8, 8] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [8, 16, 8] [8, 8] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [8, 16, 8] [8, 8] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [8, 16, 8] [8, 8] denominator=, [8, 16, 11] [2, 16, 15, 0] [2, 15, 0] -------------- = ---------- [8, 16, 11] [8, 11] [5, 16, 13, 0] [5, 13, 0] -------------- = ---------- [8, 16, 11] [8, 11] [11, 16, 9, 0] [11, 9, 0] -------------- = ---------- [8, 16, 11] [8, 11] [14, 16, 7, 0] [14, 7, 0] -------------- = ---------- [8, 16, 11] [8, 11] [1, 3, 16, 3, 0] [1, 3, 3, 0] ---------------- = ------------ [8, 16, 11] [8, 11] [1, 6, 16, 1, 0] [1, 6, 1, 0] ---------------- = ------------ [8, 16, 11] [8, 11] denominator=, [8, 16, 14] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [8, 16, 14] [8, 14] [5, 16, 15, 0] [5, 15, 0] -------------- = ---------- [8, 16, 14] [8, 14] [11, 16, 13, 0] [11, 13, 0] --------------- = ----------- [8, 16, 14] [8, 14] [14, 16, 12, 0] [14, 12, 0] --------------- = ----------- [8, 16, 14] [8, 14] [1, 3, 16, 10, 0] [1, 3, 10, 0] ----------------- = ------------- [8, 16, 14] [8, 14] [1, 6, 16, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [8, 16, 14] [8, 14] [1, 12, 16, 7, 0] [1, 12, 7, 0] ----------------- = ------------- [8, 16, 14] [8, 14] [1, 15, 16, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [8, 16, 14] [8, 14] [2, 4, 16, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [8, 16, 14] [8, 14] [2, 7, 16, 3, 0] [2, 7, 3, 0] ---------------- = ------------ [8, 16, 14] [8, 14] [2, 13, 16, 1, 0] [2, 13, 1, 0] ----------------- = ------------- [8, 16, 14] [8, 14] [2, 16, 16, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [8, 16, 14] [8, 14] denominator=, [9, 3, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [2, 0, 6, 5, 0] [2, 0, 5, 0] --------------- = ------------ [9, 6, 6] [9, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] [7, 15, 6, 1, 0] [7, 15, 1, 0] ---------------- = ------------- [9, 6, 6] [9, 6] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 16] [12, 0, 16] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 15] [12, 4, 15] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 13] [15, 3, 13] -------------- = ----------- [9, 9, 6] [9, 6] [1, 4, 9, 1, 9] [1, 4, 1, 9] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 0, 7] [1, 7, 0, 7] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 10, 8] [1, 3, 10, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [9, 10, 8] [9, 8] [1, 14, 10, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [9, 10, 8] [9, 8] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 9] [1, 5, 12, 4, 0] [1, 5, 4, 0] ---------------- = ------------ [9, 12, 9] [9, 9] denominator=, [9, 12, 12] [1, 5, 12, 11, 0] [1, 5, 11, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [2, 1, 12, 10, 0] [2, 1, 10, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [4, 6, 12, 7, 0] [4, 6, 7, 0] ---------------- = ------------ [9, 12, 12] [9, 12] [5, 15, 12, 5, 0] [5, 15, 5, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [8, 3, 12, 2, 0] [8, 3, 2, 0] ---------------- = ------------ [9, 12, 12] [9, 12] [8, 16, 12, 1, 0] [8, 16, 1, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 15, 6] [15, 15, 0] [15, 0] ----------- = ------- [9, 15, 6] [9, 6] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [9, 15, 6] [9, 6] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [9, 15, 6] [9, 6] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [9, 15, 6] [9, 6] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [9, 15, 6] [9, 6] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [9, 15, 6] [9, 6] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [9, 15, 6] [9, 6] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [9, 15, 6] [9, 6] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [9, 15, 6] [9, 6] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [9, 15, 6] [9, 6] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [9, 15, 6] [9, 6] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [9, 15, 6] [9, 6] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [9, 15, 6] [9, 6] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [9, 15, 6] [9, 6] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [9, 15, 6] [9, 6] denominator=, [9, 15, 15] [3, 11, 15, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [9, 15, 15] [9, 15] [6, 13, 15, 5, 0] [6, 13, 5, 0] ----------------- = ------------- [9, 15, 15] [9, 15] denominator=, [9, 16, 1] [4, 16, 9, 0] [4, 9, 0] ------------- = --------- [9, 16, 1] [9, 1] denominator=, [9, 16, 2] [1, 16, 14, 0] [1, 14, 0] -------------- = ---------- [9, 16, 2] [9, 2] [3, 16, 11, 0] [3, 11, 0] -------------- = ---------- [9, 16, 2] [9, 2] [5, 16, 8, 0] [5, 8, 0] ------------- = --------- [9, 16, 2] [9, 2] [7, 16, 5, 0] [7, 5, 0] ------------- = --------- [9, 16, 2] [9, 2] denominator=, [9, 16, 3] [4, 16, 10, 0] [4, 10, 0] -------------- = ---------- [9, 16, 3] [9, 3] denominator=, [9, 16, 5] [4, 16, 11, 0] [4, 11, 0] -------------- = ---------- [9, 16, 5] [9, 5] denominator=, [9, 16, 7] [16, 16, 0] [16, 0] ----------- = ------- [9, 16, 7] [9, 7] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [9, 16, 7] [9, 7] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [9, 16, 7] [9, 7] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [9, 16, 7] [9, 7] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [9, 16, 7] [9, 7] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [9, 16, 7] [9, 7] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [9, 16, 7] [9, 7] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [9, 16, 7] [9, 7] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [9, 16, 7] [9, 7] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [9, 16, 7] [9, 7] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [9, 16, 7] [9, 7] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [9, 16, 7] [9, 7] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [9, 16, 7] [9, 7] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [9, 16, 7] [9, 7] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [9, 16, 7] [9, 7] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [9, 16, 7] [9, 7] denominator=, [9, 16, 9] [4, 16, 13, 0] [4, 13, 0] -------------- = ---------- [9, 16, 9] [9, 9] [14, 16, 5, 0] [14, 5, 0] -------------- = ---------- [9, 16, 9] [9, 9] denominator=, [9, 16, 11] [4, 16, 14, 0] [4, 14, 0] -------------- = ---------- [9, 16, 11] [9, 11] [14, 16, 8, 0] [14, 8, 0] -------------- = ---------- [9, 16, 11] [9, 11] [1, 7, 16, 2, 0] [1, 7, 2, 0] ---------------- = ------------ [9, 16, 11] [9, 11] denominator=, [9, 16, 12] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [9, 16, 12] [9, 12] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [9, 16, 12] [9, 12] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [9, 16, 12] [9, 12] [7, 16, 13, 0] [7, 13, 0] -------------- = ---------- [9, 16, 12] [9, 12] [11, 16, 11, 0] [11, 11, 0] --------------- = ----------- [9, 16, 12] [9, 12] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [9, 16, 12] [9, 12] [15, 16, 9, 0] [15, 9, 0] -------------- = ---------- [9, 16, 12] [9, 12] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [9, 16, 12] [9, 12] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [9, 16, 12] [9, 12] [1, 6, 16, 5, 0] [1, 6, 5, 0] ---------------- = ------------ [9, 16, 12] [9, 12] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [9, 16, 12] [9, 12] [1, 10, 16, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [9, 16, 12] [9, 12] [1, 14, 16, 1, 0] [1, 14, 1, 0] ----------------- = ------------- [9, 16, 12] [9, 12] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [9, 16, 12] [9, 12] denominator=, [9, 16, 13] [4, 16, 15, 0] [4, 15, 0] -------------- = ---------- [9, 16, 13] [9, 13] [14, 16, 11, 0] [14, 11, 0] --------------- = ----------- [9, 16, 13] [9, 13] [1, 7, 16, 7, 0] [1, 7, 7, 0] ---------------- = ------------ [9, 16, 13] [9, 13] [2, 0, 16, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [9, 16, 13] [9, 13] denominator=, [9, 16, 15] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [9, 16, 15] [9, 15] [14, 16, 14, 0] [14, 14, 0] --------------- = ----------- [9, 16, 15] [9, 15] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [9, 16, 15] [9, 15] [2, 0, 16, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [9, 16, 15] [9, 15] [2, 10, 16, 8, 0] [2, 10, 8, 0] ----------------- = ------------- [9, 16, 15] [9, 15] [3, 3, 16, 6, 0] [3, 3, 6, 0] ---------------- = ------------ [9, 16, 15] [9, 15] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [9, 16, 15] [9, 15] [4, 6, 16, 2, 0] [4, 6, 2, 0] ---------------- = ------------ [9, 16, 15] [9, 15] [4, 16, 16, 0, 0] [4, 16, 0, 0] ----------------- = ------------- [9, 16, 15] [9, 15] denominator=, [10, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [10, 2, 1] [10, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [10, 2, 1] [10, 1] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 8, 1] [3, 8, 6, 0] [3, 6, 0] ------------ = --------- [10, 8, 1] [10, 1] denominator=, [10, 8, 4] [3, 8, 7, 0] [3, 7, 0] ------------ = --------- [10, 8, 4] [10, 4] [1, 0, 8, 1, 0] [1, 0, 1, 0] --------------- = ------------ [10, 8, 4] [10, 4] denominator=, [10, 8, 5] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [10, 8, 5] [10, 5] [4, 8, 7, 0] [4, 7, 0] ------------ = --------- [10, 8, 5] [10, 5] [7, 8, 6, 0] [7, 6, 0] ------------ = --------- [10, 8, 5] [10, 5] [13, 8, 4, 0] [13, 4, 0] ------------- = ---------- [10, 8, 5] [10, 5] [16, 8, 3, 0] [16, 3, 0] ------------- = ---------- [10, 8, 5] [10, 5] [1, 2, 8, 2, 0] [1, 2, 2, 0] --------------- = ------------ [10, 8, 5] [10, 5] [1, 5, 8, 1, 0] [1, 5, 1, 0] --------------- = ------------ [10, 8, 5] [10, 5] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [10, 8, 5] [10, 5] denominator=, [10, 8, 7] [3, 8, 8, 0] [3, 8, 0] ------------ = --------- [10, 8, 7] [10, 7] [1, 0, 8, 6, 0] [1, 0, 6, 0] --------------- = ------------ [10, 8, 7] [10, 7] [1, 7, 8, 5, 0] [1, 7, 5, 0] --------------- = ------------ [10, 8, 7] [10, 7] [2, 4, 8, 3, 0] [2, 4, 3, 0] --------------- = ------------ [10, 8, 7] [10, 7] [2, 11, 8, 2, 0] [2, 11, 2, 0] ---------------- = ------------- [10, 8, 7] [10, 7] [3, 8, 8, 0, 0] [3, 8, 0, 0] --------------- = ------------ [10, 8, 7] [10, 7] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 13] [1, 9, 13] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 12] [3, 8, 12] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 10] [7, 6, 10] -------------- = ---------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 9] [9, 5, 9] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 8] [11, 4, 8] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 16] [12, 3, 16] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 7] [13, 3, 7] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 15] [14, 2, 15] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 14] [16, 1, 14] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 1, 5] [1, 0, 1, 5] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 1, 10, 0, 13] [1, 1, 0, 13] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 0, 4] [1, 2, 0, 4] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 11, 10] [1, 12, 11, 7, 0] [1, 12, 7, 0] ----------------- = ------------- [10, 11, 10] [10, 10] [2, 14, 11, 4, 0] [2, 14, 4, 0] ----------------- = ------------- [10, 11, 10] [10, 10] [3, 16, 11, 1, 0] [3, 16, 1, 0] ----------------- = ------------- [10, 11, 10] [10, 10] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [10, 14, 13] [2, 5, 14, 8, 0] [2, 5, 8, 0] ---------------- = ------------ [10, 14, 13] [10, 13] [4, 0, 14, 3, 0] [4, 0, 3, 0] ---------------- = ------------ [10, 14, 13] [10, 13] denominator=, [10, 15, 5] [15, 15, 0] [15, 0] ----------- = ------- [10, 15, 5] [10, 5] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [10, 15, 5] [10, 5] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [10, 15, 5] [10, 5] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [10, 15, 5] [10, 5] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [10, 15, 5] [10, 5] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [10, 15, 5] [10, 5] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [10, 15, 5] [10, 5] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [10, 15, 5] [10, 5] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [10, 15, 5] [10, 5] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [10, 15, 5] [10, 5] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [10, 15, 5] [10, 5] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [10, 15, 5] [10, 5] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [10, 15, 5] [10, 5] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [10, 15, 5] [10, 5] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [10, 15, 5] [10, 5] denominator=, [10, 15, 12] [2, 1, 15, 3, 0] [2, 1, 3, 0] ---------------- = ------------ [10, 15, 12] [10, 12] denominator=, [10, 15, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [10, 16, 6] [16, 16, 0] [16, 0] ----------- = ------- [10, 16, 6] [10, 6] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [10, 16, 6] [10, 6] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [10, 16, 6] [10, 6] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [10, 16, 6] [10, 6] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [10, 16, 6] [10, 6] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [10, 16, 6] [10, 6] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [10, 16, 6] [10, 6] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [10, 16, 6] [10, 6] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [10, 16, 6] [10, 6] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [10, 16, 6] [10, 6] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [10, 16, 6] [10, 6] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [10, 16, 6] [10, 6] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [10, 16, 6] [10, 6] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [10, 16, 6] [10, 6] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [10, 16, 6] [10, 6] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [10, 16, 6] [10, 6] denominator=, [11, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [11, 4, 2] [11, 2] [6, 4, 3, 0] [6, 3, 0] ------------ = --------- [11, 4, 2] [11, 2] [16, 4, 1, 0] [16, 1, 0] ------------- = ---------- [11, 4, 2] [11, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [11, 4, 2] [11, 2] denominator=, [11, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [11, 4, 3] [11, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [11, 4, 3] [11, 3] [1, 12, 4, 1, 0] [1, 12, 1, 0] ---------------- = ------------- [11, 4, 3] [11, 3] [2, 4, 4, 0, 0] [2, 4, 0, 0] --------------- = ------------ [11, 4, 3] [11, 3] denominator=, [11, 9, 8] [2, 14, 9, 3, 0] [2, 14, 3, 0] ---------------- = ------------- [11, 9, 8] [11, 8] denominator=, [11, 10, 8] [2, 8, 10, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [11, 10, 8] [11, 8] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 13, 11] [1, 15, 13, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [11, 13, 11] [11, 11] [3, 2, 13, 1, 0] [3, 2, 1, 0] ---------------- = ------------ [11, 13, 11] [11, 11] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 14, 13] [1, 13, 14, 10, 0] [1, 13, 10, 0] ------------------ = -------------- [11, 14, 13] [11, 13] [2, 15, 14, 7, 0] [2, 15, 7, 0] ----------------- = ------------- [11, 14, 13] [11, 13] [4, 0, 14, 4, 0] [4, 0, 4, 0] ---------------- = ------------ [11, 14, 13] [11, 13] [5, 2, 14, 1, 0] [5, 2, 1, 0] ---------------- = ------------ [11, 14, 13] [11, 13] denominator=, [11, 15, 4] [15, 15, 0] [15, 0] ----------- = ------- [11, 15, 4] [11, 4] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [11, 15, 4] [11, 4] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [11, 15, 4] [11, 4] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [11, 15, 4] [11, 4] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [11, 15, 4] [11, 4] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [11, 15, 4] [11, 4] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [11, 15, 4] [11, 4] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [11, 15, 4] [11, 4] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [11, 15, 4] [11, 4] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [11, 15, 4] [11, 4] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [11, 15, 4] [11, 4] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [11, 15, 4] [11, 4] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [11, 15, 4] [11, 4] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [11, 15, 4] [11, 4] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [11, 15, 4] [11, 4] denominator=, [11, 16, 1] [2, 16, 13, 0] [2, 13, 0] -------------- = ---------- [11, 16, 1] [11, 1] [5, 16, 9, 0] [5, 9, 0] ------------- = --------- [11, 16, 1] [11, 1] [8, 16, 5, 0] [8, 5, 0] ------------- = --------- [11, 16, 1] [11, 1] denominator=, [11, 16, 2] [3, 16, 12, 0] [3, 12, 0] -------------- = ---------- [11, 16, 2] [11, 2] [7, 16, 7, 0] [7, 7, 0] ------------- = --------- [11, 16, 2] [11, 2] denominator=, [11, 16, 3] [5, 16, 10, 0] [5, 10, 0] -------------- = ---------- [11, 16, 3] [11, 3] denominator=, [11, 16, 5] [16, 16, 0] [16, 0] ----------- = ------- [11, 16, 5] [11, 5] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [11, 16, 5] [11, 5] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [11, 16, 5] [11, 5] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [11, 16, 5] [11, 5] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [11, 16, 5] [11, 5] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [11, 16, 5] [11, 5] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [11, 16, 5] [11, 5] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [11, 16, 5] [11, 5] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [11, 16, 5] [11, 5] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [11, 16, 5] [11, 5] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [11, 16, 5] [11, 5] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [11, 16, 5] [11, 5] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [11, 16, 5] [11, 5] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [11, 16, 5] [11, 5] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [11, 16, 5] [11, 5] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [11, 16, 5] [11, 5] denominator=, [11, 16, 7] [5, 16, 12, 0] [5, 12, 0] -------------- = ---------- [11, 16, 7] [11, 7] [1, 0, 16, 2, 0] [1, 0, 2, 0] ---------------- = ------------ [11, 16, 7] [11, 7] denominator=, [11, 16, 8] [3, 16, 14, 0] [3, 14, 0] -------------- = ---------- [11, 16, 8] [11, 8] [7, 16, 11, 0] [7, 11, 0] -------------- = ---------- [11, 16, 8] [11, 8] [15, 16, 5, 0] [15, 5, 0] -------------- = ---------- [11, 16, 8] [11, 8] [1, 2, 16, 2, 0] [1, 2, 2, 0] ---------------- = ------------ [11, 16, 8] [11, 8] denominator=, [11, 16, 9] [2, 16, 15, 0] [2, 15, 0] -------------- = ---------- [11, 16, 9] [11, 9] [5, 16, 13, 0] [5, 13, 0] -------------- = ---------- [11, 16, 9] [11, 9] [8, 16, 11, 0] [8, 11, 0] -------------- = ---------- [11, 16, 9] [11, 9] [14, 16, 7, 0] [14, 7, 0] -------------- = ---------- [11, 16, 9] [11, 9] [1, 0, 16, 5, 0] [1, 0, 5, 0] ---------------- = ------------ [11, 16, 9] [11, 9] [1, 3, 16, 3, 0] [1, 3, 3, 0] ---------------- = ------------ [11, 16, 9] [11, 9] denominator=, [11, 16, 11] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [11, 16, 11] [11, 11] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [11, 16, 11] [11, 11] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [11, 16, 11] [11, 11] [7, 16, 13, 0] [7, 13, 0] -------------- = ---------- [11, 16, 11] [11, 11] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [11, 16, 11] [11, 11] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [11, 16, 11] [11, 11] [15, 16, 9, 0] [15, 9, 0] -------------- = ---------- [11, 16, 11] [11, 11] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [11, 16, 11] [11, 11] [1, 2, 16, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [11, 16, 11] [11, 11] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [11, 16, 11] [11, 11] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [11, 16, 11] [11, 11] [1, 10, 16, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [11, 16, 11] [11, 11] [1, 12, 16, 2, 0] [1, 12, 2, 0] ----------------- = ------------- [11, 16, 11] [11, 11] [1, 14, 16, 1, 0] [1, 14, 1, 0] ----------------- = ------------- [11, 16, 11] [11, 11] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [11, 16, 11] [11, 11] denominator=, [11, 16, 13] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [11, 16, 13] [11, 13] [5, 16, 15, 0] [5, 15, 0] -------------- = ---------- [11, 16, 13] [11, 13] [8, 16, 14, 0] [8, 14, 0] -------------- = ---------- [11, 16, 13] [11, 13] [14, 16, 12, 0] [14, 12, 0] --------------- = ----------- [11, 16, 13] [11, 13] [1, 0, 16, 11, 0] [1, 0, 11, 0] ----------------- = ------------- [11, 16, 13] [11, 13] [1, 3, 16, 10, 0] [1, 3, 10, 0] ----------------- = ------------- [11, 16, 13] [11, 13] [1, 9, 16, 8, 0] [1, 9, 8, 0] ---------------- = ------------ [11, 16, 13] [11, 13] [1, 12, 16, 7, 0] [1, 12, 7, 0] ----------------- = ------------- [11, 16, 13] [11, 13] [1, 15, 16, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [11, 16, 13] [11, 13] [2, 4, 16, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [11, 16, 13] [11, 13] [2, 7, 16, 3, 0] [2, 7, 3, 0] ---------------- = ------------ [11, 16, 13] [11, 13] [2, 10, 16, 2, 0] [2, 10, 2, 0] ----------------- = ------------- [11, 16, 13] [11, 13] [2, 16, 16, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [11, 16, 13] [11, 13] denominator=, [11, 16, 14] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [11, 16, 14] [11, 14] [7, 16, 15, 0] [7, 15, 0] -------------- = ---------- [11, 16, 14] [11, 14] [15, 16, 13, 0] [15, 13, 0] --------------- = ----------- [11, 16, 14] [11, 14] [1, 2, 16, 12, 0] [1, 2, 12, 0] ----------------- = ------------- [11, 16, 14] [11, 14] [1, 10, 16, 10, 0] [1, 10, 10, 0] ------------------ = -------------- [11, 16, 14] [11, 14] [1, 14, 16, 9, 0] [1, 14, 9, 0] ----------------- = ------------- [11, 16, 14] [11, 14] [2, 5, 16, 7, 0] [2, 5, 7, 0] ---------------- = ------------ [11, 16, 14] [11, 14] [2, 9, 16, 6, 0] [2, 9, 6, 0] ---------------- = ------------ [11, 16, 14] [11, 14] [3, 0, 16, 4, 0] [3, 0, 4, 0] ---------------- = ------------ [11, 16, 14] [11, 14] [3, 4, 16, 3, 0] [3, 4, 3, 0] ---------------- = ------------ [11, 16, 14] [11, 14] [3, 12, 16, 1, 0] [3, 12, 1, 0] ----------------- = ------------- [11, 16, 14] [11, 14] [3, 16, 16, 0, 0] [3, 16, 0, 0] ----------------- = ------------- [11, 16, 14] [11, 14] denominator=, [11, 16, 15] [5, 16, 16, 0] [5, 16, 0] -------------- = ---------- [11, 16, 15] [11, 15] [1, 0, 16, 14, 0] [1, 0, 14, 0] ----------------- = ------------- [11, 16, 15] [11, 15] [1, 12, 16, 12, 0] [1, 12, 12, 0] ------------------ = -------------- [11, 16, 15] [11, 15] [2, 7, 16, 10, 0] [2, 7, 10, 0] ----------------- = ------------- [11, 16, 15] [11, 15] [3, 2, 16, 8, 0] [3, 2, 8, 0] ---------------- = ------------ [11, 16, 15] [11, 15] [3, 14, 16, 6, 0] [3, 14, 6, 0] ----------------- = ------------- [11, 16, 15] [11, 15] [4, 9, 16, 4, 0] [4, 9, 4, 0] ---------------- = ------------ [11, 16, 15] [11, 15] [5, 4, 16, 2, 0] [5, 4, 2, 0] ---------------- = ------------ [11, 16, 15] [11, 15] [5, 16, 16, 0, 0] [5, 16, 0, 0] ----------------- = ------------- [11, 16, 15] [11, 15] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [12, 6, 3] [12, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [12, 6, 3] [12, 3] denominator=, [12, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [12, 6, 5] [12, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [12, 6, 5] [12, 5] [1, 13, 6, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [12, 6, 5] [12, 5] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [12, 6, 5] [12, 5] [2, 14, 6, 1, 0] [2, 14, 1, 0] ---------------- = ------------- [12, 6, 5] [12, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [12, 6, 5] [12, 5] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 8, 1] [2, 8, 7, 0] [2, 7, 0] ------------ = --------- [12, 8, 1] [12, 1] [7, 8, 4, 0] [7, 4, 0] ------------ = --------- [12, 8, 1] [12, 1] denominator=, [12, 8, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [12, 8, 6] [12, 6] [7, 8, 7, 0] [7, 7, 0] ------------ = --------- [12, 8, 6] [12, 6] [1, 0, 8, 5, 0] [1, 0, 5, 0] --------------- = ------------ [12, 8, 6] [12, 6] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [12, 8, 6] [12, 6] [1, 10, 8, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [12, 8, 6] [12, 6] [1, 15, 8, 2, 0] [1, 15, 2, 0] ---------------- = ------------- [12, 8, 6] [12, 6] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [12, 8, 6] [12, 6] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 3] [1, 12, 11, 7] [1, 11, 7] -------------- = ---------- [12, 12, 3] [12, 3] [2, 12, 10, 11] [2, 10, 11] --------------- = ----------- [12, 12, 3] [12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [5, 12, 8, 6] [5, 8, 6] ------------- = --------- [12, 12, 3] [12, 3] [7, 12, 6, 14] [7, 6, 14] -------------- = ---------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] [10, 12, 4, 9] [10, 4, 9] -------------- = ---------- [12, 12, 3] [12, 3] [11, 12, 3, 13] [11, 3, 13] --------------- = ----------- [12, 12, 3] [12, 3] [13, 12, 2, 4] [13, 2, 4] -------------- = ---------- [12, 12, 3] [12, 3] [14, 12, 1, 8] [14, 1, 8] -------------- = ---------- [12, 12, 3] [12, 3] denominator=, [12, 12, 6] [1, 12, 11, 14] [1, 11, 14] --------------- = ----------- [12, 12, 6] [12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [5, 12, 9, 12] [5, 9, 12] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 11] [7, 8, 11] -------------- = ---------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 9] [11, 6, 9] -------------- = ---------- [12, 12, 6] [12, 6] [13, 12, 5, 8] [13, 5, 8] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 16] [14, 4, 16] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 15] [16, 3, 15] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 3, 6] [1, 0, 3, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 2, 12, 2, 5] [1, 2, 2, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 3, 12, 1, 13] [1, 3, 1, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 5, 12, 0, 12] [1, 5, 0, 12] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 0, 3] [1, 6, 0, 3] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 9] [1, 12, 12, 4] [1, 12, 4] -------------- = ---------- [12, 12, 9] [12, 9] [2, 12, 11, 16] [2, 11, 16] --------------- = ----------- [12, 12, 9] [12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [5, 12, 11, 1] [5, 11, 1] -------------- = ---------- [12, 12, 9] [12, 9] [7, 12, 10, 8] [7, 10, 8] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [10, 12, 9, 10] [10, 9, 10] --------------- = ----------- [12, 12, 9] [12, 9] [11, 12, 9, 5] [11, 9, 5] -------------- = ---------- [12, 12, 9] [12, 9] [13, 12, 8, 12] [13, 8, 12] --------------- = ----------- [12, 12, 9] [12, 9] [14, 12, 8, 7] [14, 8, 7] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 14] [16, 7, 14] --------------- = ----------- [12, 12, 9] [12, 9] [1, 0, 12, 7, 9] [1, 0, 7, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 2, 12, 6, 16] [1, 2, 6, 16] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 3, 12, 6, 11] [1, 3, 6, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 5, 12, 6, 1] [1, 5, 6, 1] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 6, 12, 5, 13] [1, 6, 5, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 8, 12, 5, 3] [1, 8, 5, 3] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 9, 12, 4, 15] [1, 9, 4, 15] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 11, 12, 4, 5] [1, 11, 4, 5] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 12, 12, 4, 0] [1, 12, 4, 0] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 14, 12, 3, 7] [1, 14, 3, 7] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 15, 12, 3, 2] [1, 15, 3, 2] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 0, 12, 2, 9] [2, 0, 2, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 1, 12, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 3, 12, 1, 11] [2, 3, 1, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 4, 12, 1, 6] [2, 4, 1, 6] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 6, 12, 0, 13] [2, 6, 0, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 7, 12, 0, 8] [2, 7, 0, 8] ---------------- = ------------ [12, 12, 9] [12, 9] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 13, 11] [3, 2, 13, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [12, 13, 11] [12, 11] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [12, 15, 3] [15, 15, 0] [15, 0] ----------- = ------- [12, 15, 3] [12, 3] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [12, 15, 3] [12, 3] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [12, 15, 3] [12, 3] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [12, 15, 3] [12, 3] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [12, 15, 3] [12, 3] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [12, 15, 3] [12, 3] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [12, 15, 3] [12, 3] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [12, 15, 3] [12, 3] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [12, 15, 3] [12, 3] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [12, 15, 3] [12, 3] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [12, 15, 3] [12, 3] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [12, 15, 3] [12, 3] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [12, 15, 3] [12, 3] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [12, 15, 3] [12, 3] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [12, 15, 3] [12, 3] denominator=, [12, 15, 12] [2, 1, 15, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [12, 15, 12] [12, 12] denominator=, [12, 15, 15] [4, 13, 15, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [12, 15, 15] [12, 15] [8, 14, 15, 5, 0] [8, 14, 5, 0] ----------------- = ------------- [12, 15, 15] [12, 15] denominator=, [12, 16, 4] [16, 16, 0] [16, 0] ----------- = ------- [12, 16, 4] [12, 4] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [12, 16, 4] [12, 4] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [12, 16, 4] [12, 4] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [12, 16, 4] [12, 4] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [12, 16, 4] [12, 4] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [12, 16, 4] [12, 4] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [12, 16, 4] [12, 4] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [12, 16, 4] [12, 4] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [12, 16, 4] [12, 4] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [12, 16, 4] [12, 4] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [12, 16, 4] [12, 4] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [12, 16, 4] [12, 4] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [12, 16, 4] [12, 4] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [12, 16, 4] [12, 4] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [12, 16, 4] [12, 4] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [12, 16, 4] [12, 4] denominator=, [13, 8, 1] [4, 8, 6, 0] [4, 6, 0] ------------ = --------- [13, 8, 1] [13, 1] denominator=, [13, 8, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [13, 8, 4] [13, 4] [4, 8, 7, 0] [4, 7, 0] ------------ = --------- [13, 8, 4] [13, 4] [7, 8, 6, 0] [7, 6, 0] ------------ = --------- [13, 8, 4] [13, 4] [10, 8, 5, 0] [10, 5, 0] ------------- = ---------- [13, 8, 4] [13, 4] [16, 8, 3, 0] [16, 3, 0] ------------- = ---------- [13, 8, 4] [13, 4] [1, 2, 8, 2, 0] [1, 2, 2, 0] --------------- = ------------ [13, 8, 4] [13, 4] [1, 5, 8, 1, 0] [1, 5, 1, 0] --------------- = ------------ [13, 8, 4] [13, 4] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [13, 8, 4] [13, 4] denominator=, [13, 8, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [13, 8, 7] [13, 7] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [13, 8, 7] [13, 7] [1, 14, 8, 5, 0] [1, 14, 5, 0] ---------------- = ------------- [13, 8, 7] [13, 7] [2, 15, 8, 3, 0] [2, 15, 3, 0] ---------------- = ------------- [13, 8, 7] [13, 7] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [13, 8, 7] [13, 7] [4, 8, 8, 0, 0] [4, 8, 0, 0] --------------- = ------------ [13, 8, 7] [13, 7] denominator=, [13, 11, 10] [5, 1, 11, 1, 0] [5, 1, 1, 0] ---------------- = ------------ [13, 11, 10] [13, 10] denominator=, [13, 12, 4] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [13, 12, 4] [13, 4] denominator=, [13, 12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [13, 12, 9] [13, 9] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [13, 12, 9] [13, 9] [2, 1, 12, 3, 0] [2, 1, 3, 0] ---------------- = ------------ [13, 12, 9] [13, 9] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [13, 12, 9] [13, 9] denominator=, [13, 12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [13, 12, 10] [13, 10] [8, 12, 11, 0] [8, 11, 0] -------------- = ---------- [13, 12, 10] [13, 10] [1, 1, 12, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [1, 11, 12, 7, 0] [1, 11, 7, 0] ----------------- = ------------- [13, 12, 10] [13, 10] [1, 16, 12, 6, 0] [1, 16, 6, 0] ----------------- = ------------- [13, 12, 10] [13, 10] [2, 4, 12, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [2, 14, 12, 3, 0] [2, 14, 3, 0] ----------------- = ------------- [13, 12, 10] [13, 10] [3, 2, 12, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [3, 7, 12, 1, 0] [3, 7, 1, 0] ---------------- = ------------ [13, 12, 10] [13, 10] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [13, 12, 10] [13, 10] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 14, 13] [2, 16, 14, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [13, 14, 13] [13, 13] [5, 2, 14, 3, 0] [5, 2, 3, 0] ---------------- = ------------ [13, 14, 13] [13, 13] denominator=, [13, 15, 2] [15, 15, 0] [15, 0] ----------- = ------- [13, 15, 2] [13, 2] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [13, 15, 2] [13, 2] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [13, 15, 2] [13, 2] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [13, 15, 2] [13, 2] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [13, 15, 2] [13, 2] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [13, 15, 2] [13, 2] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [13, 15, 2] [13, 2] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [13, 15, 2] [13, 2] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [13, 15, 2] [13, 2] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [13, 15, 2] [13, 2] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [13, 15, 2] [13, 2] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [13, 15, 2] [13, 2] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [13, 15, 2] [13, 2] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [13, 15, 2] [13, 2] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [13, 15, 2] [13, 2] denominator=, [13, 16, 1] [6, 16, 9, 0] [6, 9, 0] ------------- = --------- [13, 16, 1] [13, 1] denominator=, [13, 16, 3] [16, 16, 0] [16, 0] ----------- = ------- [13, 16, 3] [13, 3] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [13, 16, 3] [13, 3] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [13, 16, 3] [13, 3] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [13, 16, 3] [13, 3] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [13, 16, 3] [13, 3] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [13, 16, 3] [13, 3] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [13, 16, 3] [13, 3] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [13, 16, 3] [13, 3] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [13, 16, 3] [13, 3] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [13, 16, 3] [13, 3] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [13, 16, 3] [13, 3] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [13, 16, 3] [13, 3] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [13, 16, 3] [13, 3] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [13, 16, 3] [13, 3] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [13, 16, 3] [13, 3] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [13, 16, 3] [13, 3] denominator=, [13, 16, 5] [6, 16, 11, 0] [6, 11, 0] -------------- = ---------- [13, 16, 5] [13, 5] denominator=, [13, 16, 7] [6, 16, 12, 0] [6, 12, 0] -------------- = ---------- [13, 16, 7] [13, 7] [1, 3, 16, 2, 0] [1, 3, 2, 0] ---------------- = ------------ [13, 16, 7] [13, 7] denominator=, [13, 16, 9] [6, 16, 13, 0] [6, 13, 0] -------------- = ---------- [13, 16, 9] [13, 9] [1, 3, 16, 5, 0] [1, 3, 5, 0] ---------------- = ------------ [13, 16, 9] [13, 9] denominator=, [13, 16, 10] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [13, 16, 10] [13, 10] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [13, 16, 10] [13, 10] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [13, 16, 10] [13, 10] [7, 16, 13, 0] [7, 13, 0] -------------- = ---------- [13, 16, 10] [13, 10] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [13, 16, 10] [13, 10] [11, 16, 11, 0] [11, 11, 0] --------------- = ----------- [13, 16, 10] [13, 10] [15, 16, 9, 0] [15, 9, 0] -------------- = ---------- [13, 16, 10] [13, 10] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [13, 16, 10] [13, 10] [1, 2, 16, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [13, 16, 10] [13, 10] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [13, 16, 10] [13, 10] [1, 6, 16, 5, 0] [1, 6, 5, 0] ---------------- = ------------ [13, 16, 10] [13, 10] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [13, 16, 10] [13, 10] [1, 12, 16, 2, 0] [1, 12, 2, 0] ----------------- = ------------- [13, 16, 10] [13, 10] [1, 14, 16, 1, 0] [1, 14, 1, 0] ----------------- = ------------- [13, 16, 10] [13, 10] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [13, 16, 10] [13, 10] denominator=, [13, 16, 11] [6, 16, 14, 0] [6, 14, 0] -------------- = ---------- [13, 16, 11] [13, 11] [1, 3, 16, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [13, 16, 11] [13, 11] [2, 0, 16, 2, 0] [2, 0, 2, 0] ---------------- = ------------ [13, 16, 11] [13, 11] denominator=, [13, 16, 13] [6, 16, 15, 0] [6, 15, 0] -------------- = ---------- [13, 16, 13] [13, 13] [1, 3, 16, 11, 0] [1, 3, 11, 0] ----------------- = ------------- [13, 16, 13] [13, 13] [2, 0, 16, 7, 0] [2, 0, 7, 0] ---------------- = ------------ [13, 16, 13] [13, 13] [2, 14, 16, 3, 0] [2, 14, 3, 0] ----------------- = ------------- [13, 16, 13] [13, 13] denominator=, [13, 16, 15] [6, 16, 16, 0] [6, 16, 0] -------------- = ---------- [13, 16, 15] [13, 15] [1, 3, 16, 14, 0] [1, 3, 14, 0] ----------------- = ------------- [13, 16, 15] [13, 15] [2, 0, 16, 12, 0] [2, 0, 12, 0] ----------------- = ------------- [13, 16, 15] [13, 15] [2, 14, 16, 10, 0] [2, 14, 10, 0] ------------------ = -------------- [13, 16, 15] [13, 15] [3, 11, 16, 8, 0] [3, 11, 8, 0] ----------------- = ------------- [13, 16, 15] [13, 15] [4, 8, 16, 6, 0] [4, 8, 6, 0] ---------------- = ------------ [13, 16, 15] [13, 15] [5, 5, 16, 4, 0] [5, 5, 4, 0] ---------------- = ------------ [13, 16, 15] [13, 15] [6, 2, 16, 2, 0] [6, 2, 2, 0] ---------------- = ------------ [13, 16, 15] [13, 15] [6, 16, 16, 0, 0] [6, 16, 0, 0] ----------------- = ------------- [13, 16, 15] [13, 15] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 10, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [14, 10, 5] [14, 5] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [14, 10, 5] [14, 5] denominator=, [14, 10, 8] [3, 2, 10, 1, 0] [3, 2, 1, 0] ---------------- = ------------ [14, 10, 8] [14, 8] denominator=, [14, 10, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [14, 10, 9] [14, 9] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [1, 15, 10, 7, 0] [1, 15, 7, 0] ----------------- = ------------- [14, 10, 9] [14, 9] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [2, 16, 10, 5, 0] [2, 16, 5, 0] ----------------- = ------------- [14, 10, 9] [14, 9] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [4, 0, 10, 3, 0] [4, 0, 3, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [5, 1, 10, 1, 0] [5, 1, 1, 0] ---------------- = ------------ [14, 10, 9] [14, 9] [5, 10, 10, 0, 0] [5, 10, 0, 0] ----------------- = ------------- [14, 10, 9] [14, 9] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 7] [1, 14, 13, 15] [1, 13, 15] --------------- = ----------- [14, 14, 7] [14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [3, 14, 12, 14] [3, 12, 14] --------------- = ----------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [5, 14, 11, 13] [5, 11, 13] --------------- = ----------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [9, 14, 9, 11] [9, 9, 11] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [11, 14, 8, 10] [11, 8, 10] --------------- = ----------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [13, 14, 7, 9] [13, 7, 9] -------------- = ---------- [14, 14, 7] [14, 7] [15, 14, 6, 8] [15, 6, 8] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 16] [16, 5, 16] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 5, 7] [1, 0, 5, 7] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 1, 14, 4, 15] [1, 1, 4, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 4, 6] [1, 2, 4, 6] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 3, 14, 3, 14] [1, 3, 3, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 5, 14, 2, 13] [1, 5, 2, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 2, 4] [1, 6, 2, 4] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 7, 14, 1, 12] [1, 7, 1, 12] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 1, 3] [1, 8, 1, 3] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 9, 14, 0, 11] [1, 9, 0, 11] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 10, 14, 0, 2] [1, 10, 0, 2] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [14, 15, 1] [15, 15, 0] [15, 0] ----------- = ------- [14, 15, 1] [14, 1] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [14, 15, 1] [14, 1] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [14, 15, 1] [14, 1] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [14, 15, 1] [14, 1] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [14, 15, 1] [14, 1] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [14, 15, 1] [14, 1] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [14, 15, 1] [14, 1] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [14, 15, 1] [14, 1] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [14, 15, 1] [14, 1] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [14, 15, 1] [14, 1] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [14, 15, 1] [14, 1] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [14, 15, 1] [14, 1] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [14, 15, 1] [14, 1] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [14, 15, 1] [14, 1] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [14, 15, 1] [14, 1] denominator=, [14, 16, 2] [16, 16, 0] [16, 0] ----------- = ------- [14, 16, 2] [14, 2] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [14, 16, 2] [14, 2] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [14, 16, 2] [14, 2] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [14, 16, 2] [14, 2] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [14, 16, 2] [14, 2] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [14, 16, 2] [14, 2] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [14, 16, 2] [14, 2] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [14, 16, 2] [14, 2] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [14, 16, 2] [14, 2] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [14, 16, 2] [14, 2] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [14, 16, 2] [14, 2] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [14, 16, 2] [14, 2] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [14, 16, 2] [14, 2] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [14, 16, 2] [14, 2] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [14, 16, 2] [14, 2] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [14, 16, 2] [14, 2] denominator=, [14, 16, 5] [4, 16, 13, 0] [4, 13, 0] -------------- = ---------- [14, 16, 5] [14, 5] [9, 16, 9, 0] [9, 9, 0] ------------- = --------- [14, 16, 5] [14, 5] [1, 2, 16, 1, 0] [1, 2, 1, 0] ---------------- = ------------ [14, 16, 5] [14, 5] denominator=, [14, 16, 7] [2, 16, 15, 0] [2, 15, 0] -------------- = ---------- [14, 16, 7] [14, 7] [5, 16, 13, 0] [5, 13, 0] -------------- = ---------- [14, 16, 7] [14, 7] [8, 16, 11, 0] [8, 11, 0] -------------- = ---------- [14, 16, 7] [14, 7] [11, 16, 9, 0] [11, 9, 0] -------------- = ---------- [14, 16, 7] [14, 7] [1, 0, 16, 5, 0] [1, 0, 5, 0] ---------------- = ------------ [14, 16, 7] [14, 7] [1, 3, 16, 3, 0] [1, 3, 3, 0] ---------------- = ------------ [14, 16, 7] [14, 7] [1, 6, 16, 1, 0] [1, 6, 1, 0] ---------------- = ------------ [14, 16, 7] [14, 7] denominator=, [14, 16, 8] [4, 16, 14, 0] [4, 14, 0] -------------- = ---------- [14, 16, 8] [14, 8] [9, 16, 11, 0] [9, 11, 0] -------------- = ---------- [14, 16, 8] [14, 8] [1, 2, 16, 5, 0] [1, 2, 5, 0] ---------------- = ------------ [14, 16, 8] [14, 8] [1, 7, 16, 2, 0] [1, 7, 2, 0] ---------------- = ------------ [14, 16, 8] [14, 8] denominator=, [14, 16, 11] [4, 16, 15, 0] [4, 15, 0] -------------- = ---------- [14, 16, 11] [14, 11] [9, 16, 13, 0] [9, 13, 0] -------------- = ---------- [14, 16, 11] [14, 11] [1, 2, 16, 9, 0] [1, 2, 9, 0] ---------------- = ------------ [14, 16, 11] [14, 11] [1, 7, 16, 7, 0] [1, 7, 7, 0] ---------------- = ------------ [14, 16, 11] [14, 11] [2, 0, 16, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [14, 16, 11] [14, 11] [2, 5, 16, 1, 0] [2, 5, 1, 0] ---------------- = ------------ [14, 16, 11] [14, 11] denominator=, [14, 16, 12] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [14, 16, 12] [14, 12] [5, 16, 15, 0] [5, 15, 0] -------------- = ---------- [14, 16, 12] [14, 12] [8, 16, 14, 0] [8, 14, 0] -------------- = ---------- [14, 16, 12] [14, 12] [11, 16, 13, 0] [11, 13, 0] --------------- = ----------- [14, 16, 12] [14, 12] [1, 0, 16, 11, 0] [1, 0, 11, 0] ----------------- = ------------- [14, 16, 12] [14, 12] [1, 3, 16, 10, 0] [1, 3, 10, 0] ----------------- = ------------- [14, 16, 12] [14, 12] [1, 6, 16, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [14, 16, 12] [14, 12] [1, 9, 16, 8, 0] [1, 9, 8, 0] ---------------- = ------------ [14, 16, 12] [14, 12] [1, 15, 16, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [14, 16, 12] [14, 12] [2, 1, 16, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [14, 16, 12] [14, 12] [2, 4, 16, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [14, 16, 12] [14, 12] [2, 7, 16, 3, 0] [2, 7, 3, 0] ---------------- = ------------ [14, 16, 12] [14, 12] [2, 13, 16, 1, 0] [2, 13, 1, 0] ----------------- = ------------- [14, 16, 12] [14, 12] [2, 16, 16, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [14, 16, 12] [14, 12] denominator=, [14, 16, 14] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [14, 16, 14] [14, 14] [9, 16, 15, 0] [9, 15, 0] -------------- = ---------- [14, 16, 14] [14, 14] [1, 2, 16, 13, 0] [1, 2, 13, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [2, 0, 16, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [2, 5, 16, 9, 0] [2, 5, 9, 0] ---------------- = ------------ [14, 16, 14] [14, 14] [2, 15, 16, 7, 0] [2, 15, 7, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [3, 3, 16, 6, 0] [3, 3, 6, 0] ---------------- = ------------ [14, 16, 14] [14, 14] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [4, 1, 16, 3, 0] [4, 1, 3, 0] ---------------- = ------------ [14, 16, 14] [14, 14] [4, 11, 16, 1, 0] [4, 11, 1, 0] ----------------- = ------------- [14, 16, 14] [14, 14] [4, 16, 16, 0, 0] [4, 16, 0, 0] ----------------- = ------------- [14, 16, 14] [14, 14] denominator=, [15, 3, 3] [5, 11, 3, 2, 0] [5, 11, 2, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [10, 7, 3, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [15, 3, 3] [15, 3] denominator=, [15, 5, 4] [2, 16, 5, 1, 0] [2, 16, 1, 0] ---------------- = ------------- [15, 5, 4] [15, 4] denominator=, [15, 5, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [3, 5, 6, 5, 0] [3, 5, 5, 0] --------------- = ------------ [15, 6, 6] [15, 6] [5, 12, 6, 4, 0] [5, 12, 4, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [10, 9, 6, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [12, 16, 6, 1, 0] [12, 16, 1, 0] ----------------- = -------------- [15, 6, 6] [15, 6] denominator=, [15, 7, 5] [2, 0, 7, 2, 0] [2, 0, 2, 0] --------------- = ------------ [15, 7, 5] [15, 5] denominator=, [15, 9, 9] [5, 13, 9, 6, 0] [5, 13, 6, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [10, 11, 9, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [2, 6, 10, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [5, 5, 10, 7, 0] [5, 5, 7, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [11, 3, 10, 3, 0] [11, 3, 3, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] [14, 2, 10, 1, 0] [14, 2, 1, 0] ----------------- = ------------- [15, 10, 10] [15, 10] denominator=, [15, 12, 4] [6, 12, 9, 0] [6, 9, 0] ------------- = --------- [15, 12, 4] [15, 4] denominator=, [15, 12, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [15, 12, 6] [15, 6] [8, 12, 9, 0] [8, 9, 0] ------------- = --------- [15, 12, 6] [15, 6] [1, 5, 12, 3, 0] [1, 5, 3, 0] ---------------- = ------------ [15, 12, 6] [15, 6] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [15, 12, 6] [15, 6] denominator=, [15, 12, 9] [2, 2, 12, 4, 0] [2, 2, 4, 0] ---------------- = ------------ [15, 12, 9] [15, 9] denominator=, [15, 12, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [15, 12, 11] [15, 11] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [15, 12, 11] [15, 11] [1, 16, 12, 9, 0] [1, 16, 9, 0] ----------------- = ------------- [15, 12, 11] [15, 11] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [3, 0, 12, 7, 0] [3, 0, 7, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [3, 9, 12, 6, 0] [3, 9, 6, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [4, 1, 12, 5, 0] [4, 1, 5, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [5, 2, 12, 3, 0] [5, 2, 3, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [15, 12, 11] [15, 11] [6, 3, 12, 1, 0] [6, 3, 1, 0] ---------------- = ------------ [15, 12, 11] [15, 11] [6, 12, 12, 0, 0] [6, 12, 0, 0] ----------------- = ------------- [15, 12, 11] [15, 11] denominator=, [15, 12, 12] [2, 2, 12, 11, 0] [2, 2, 11, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [3, 6, 12, 10, 0] [3, 6, 10, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [5, 14, 12, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [7, 1, 12, 7, 0] [7, 1, 7, 0] ---------------- = ------------ [15, 12, 12] [15, 12] [9, 9, 12, 5, 0] [9, 9, 5, 0] ---------------- = ------------ [15, 12, 12] [15, 12] [10, 13, 12, 4, 0] [10, 13, 4, 0] ------------------ = -------------- [15, 12, 12] [15, 12] [13, 4, 12, 2, 0] [13, 4, 2, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [14, 8, 12, 1, 0] [14, 8, 1, 0] ----------------- = ------------- [15, 12, 12] [15, 12] denominator=, [15, 13, 9] [2, 4, 13, 2, 0] [2, 4, 2, 0] ---------------- = ------------ [15, 13, 9] [15, 9] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [1, 1, 15, 2, 16] [1, 1, 2, 16] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 4, 15, 0, 15] [1, 4, 0, 15] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 3, 15, 2, 15] [1, 3, 2, 15] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 3, 15, 6, 14] [1, 3, 6, 14] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 8, 15, 4, 11] [1, 8, 4, 11] ----------------- = ------------- [15, 15, 9] [15, 9] [2, 1, 15, 0, 5] [2, 1, 0, 5] ---------------- = ------------ [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [1, 1, 15, 8, 15] [1, 1, 8, 15] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 4, 15, 7, 13] [1, 4, 7, 13] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 6, 11] [1, 7, 6, 11] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 10, 15, 5, 9] [1, 10, 5, 9] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 16, 15, 3, 5] [1, 16, 3, 5] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 2, 15, 2, 3] [2, 2, 2, 3] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 5, 15, 1, 1] [2, 5, 1, 1] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 3, 15, 10, 13] [1, 3, 10, 13] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 8, 15, 9, 9] [1, 8, 9, 9] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 1, 15, 7, 1] [2, 1, 7, 1] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 6, 15, 5, 14] [2, 6, 5, 14] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 16, 15, 3, 6] [2, 16, 3, 6] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 4, 15, 2, 2] [3, 4, 2, 2] ---------------- = ------------ [15, 15, 12] [15, 12] denominator=, [15, 16, 1] [16, 16, 0] [16, 0] ----------- = ------- [15, 16, 1] [15, 1] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [15, 16, 1] [15, 1] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [15, 16, 1] [15, 1] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [15, 16, 1] [15, 1] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [15, 16, 1] [15, 1] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [15, 16, 1] [15, 1] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [15, 16, 1] [15, 1] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [15, 16, 1] [15, 1] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [15, 16, 1] [15, 1] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [15, 16, 1] [15, 1] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [15, 16, 1] [15, 1] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [15, 16, 1] [15, 1] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [15, 16, 1] [15, 1] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [15, 16, 1] [15, 1] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [15, 16, 1] [15, 1] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [15, 16, 1] [15, 1] denominator=, [15, 16, 3] [7, 16, 10, 0] [7, 10, 0] -------------- = ---------- [15, 16, 3] [15, 3] denominator=, [15, 16, 5] [3, 16, 14, 0] [3, 14, 0] -------------- = ---------- [15, 16, 5] [15, 5] [7, 16, 11, 0] [7, 11, 0] -------------- = ---------- [15, 16, 5] [15, 5] [11, 16, 8, 0] [11, 8, 0] -------------- = ---------- [15, 16, 5] [15, 5] [1, 2, 16, 2, 0] [1, 2, 2, 0] ---------------- = ------------ [15, 16, 5] [15, 5] denominator=, [15, 16, 7] [7, 16, 12, 0] [7, 12, 0] -------------- = ---------- [15, 16, 7] [15, 7] [1, 6, 16, 2, 0] [1, 6, 2, 0] ---------------- = ------------ [15, 16, 7] [15, 7] denominator=, [15, 16, 9] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [15, 16, 9] [15, 9] [3, 16, 15, 0] [3, 15, 0] -------------- = ---------- [15, 16, 9] [15, 9] [5, 16, 14, 0] [5, 14, 0] -------------- = ---------- [15, 16, 9] [15, 9] [7, 16, 13, 0] [7, 13, 0] -------------- = ---------- [15, 16, 9] [15, 9] [9, 16, 12, 0] [9, 12, 0] -------------- = ---------- [15, 16, 9] [15, 9] [11, 16, 11, 0] [11, 11, 0] --------------- = ----------- [15, 16, 9] [15, 9] [13, 16, 10, 0] [13, 10, 0] --------------- = ----------- [15, 16, 9] [15, 9] [1, 0, 16, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [15, 16, 9] [15, 9] [1, 2, 16, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [15, 16, 9] [15, 9] [1, 4, 16, 6, 0] [1, 4, 6, 0] ---------------- = ------------ [15, 16, 9] [15, 9] [1, 6, 16, 5, 0] [1, 6, 5, 0] ---------------- = ------------ [15, 16, 9] [15, 9] [1, 8, 16, 4, 0] [1, 8, 4, 0] ---------------- = ------------ [15, 16, 9] [15, 9] [1, 10, 16, 3, 0] [1, 10, 3, 0] ----------------- = ------------- [15, 16, 9] [15, 9] [1, 12, 16, 2, 0] [1, 12, 2, 0] ----------------- = ------------- [15, 16, 9] [15, 9] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [15, 16, 9] [15, 9] denominator=, [15, 16, 11] [7, 16, 14, 0] [7, 14, 0] -------------- = ---------- [15, 16, 11] [15, 11] [1, 6, 16, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [15, 16, 11] [15, 11] [2, 5, 16, 2, 0] [2, 5, 2, 0] ---------------- = ------------ [15, 16, 11] [15, 11] denominator=, [15, 16, 13] [3, 16, 16, 0] [3, 16, 0] -------------- = ---------- [15, 16, 13] [15, 13] [7, 16, 15, 0] [7, 15, 0] -------------- = ---------- [15, 16, 13] [15, 13] [11, 16, 14, 0] [11, 14, 0] --------------- = ----------- [15, 16, 13] [15, 13] [1, 2, 16, 12, 0] [1, 2, 12, 0] ----------------- = ------------- [15, 16, 13] [15, 13] [1, 6, 16, 11, 0] [1, 6, 11, 0] ----------------- = ------------- [15, 16, 13] [15, 13] [1, 10, 16, 10, 0] [1, 10, 10, 0] ------------------ = -------------- [15, 16, 13] [15, 13] [2, 1, 16, 8, 0] [2, 1, 8, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [2, 5, 16, 7, 0] [2, 5, 7, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [2, 9, 16, 6, 0] [2, 9, 6, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [3, 0, 16, 4, 0] [3, 0, 4, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [3, 4, 16, 3, 0] [3, 4, 3, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [3, 8, 16, 2, 0] [3, 8, 2, 0] ---------------- = ------------ [15, 16, 13] [15, 13] [3, 16, 16, 0, 0] [3, 16, 0, 0] ----------------- = ------------- [15, 16, 13] [15, 13] denominator=, [15, 16, 15] [7, 16, 16, 0] [7, 16, 0] -------------- = ---------- [15, 16, 15] [15, 15] [1, 6, 16, 14, 0] [1, 6, 14, 0] ----------------- = ------------- [15, 16, 15] [15, 15] [2, 5, 16, 12, 0] [2, 5, 12, 0] ----------------- = ------------- [15, 16, 15] [15, 15] [3, 4, 16, 10, 0] [3, 4, 10, 0] ----------------- = ------------- [15, 16, 15] [15, 15] [4, 3, 16, 8, 0] [4, 3, 8, 0] ---------------- = ------------ [15, 16, 15] [15, 15] [5, 2, 16, 6, 0] [5, 2, 6, 0] ---------------- = ------------ [15, 16, 15] [15, 15] [6, 1, 16, 4, 0] [6, 1, 4, 0] ---------------- = ------------ [15, 16, 15] [15, 15] [7, 0, 16, 2, 0] [7, 0, 2, 0] ---------------- = ------------ [15, 16, 15] [15, 15] [7, 16, 16, 0, 0] [7, 16, 0, 0] ----------------- = ------------- [15, 16, 15] [15, 15] denominator=, [16, 4, 1] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [16, 4, 1] [16, 1] [6, 4, 3, 0] [6, 3, 0] ------------ = --------- [16, 4, 1] [16, 1] [11, 4, 2, 0] [11, 2, 0] ------------- = ---------- [16, 4, 1] [16, 1] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [16, 4, 1] [16, 1] denominator=, [16, 4, 3] [3, 4, 4, 0] [3, 4, 0] ------------ = --------- [16, 4, 3] [16, 3] [1, 12, 4, 2, 0] [1, 12, 2, 0] ---------------- = ------------- [16, 4, 3] [16, 3] [2, 8, 4, 1, 0] [2, 8, 1, 0] --------------- = ------------ [16, 4, 3] [16, 3] [3, 4, 4, 0, 0] [3, 4, 0, 0] --------------- = ------------ [16, 4, 3] [16, 3] denominator=, [16, 8, 1] [5, 8, 6, 0] [5, 6, 0] ------------ = --------- [16, 8, 1] [16, 1] denominator=, [16, 8, 3] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [16, 8, 3] [16, 3] [4, 8, 7, 0] [4, 7, 0] ------------ = --------- [16, 8, 3] [16, 3] [7, 8, 6, 0] [7, 6, 0] ------------ = --------- [16, 8, 3] [16, 3] [10, 8, 5, 0] [10, 5, 0] ------------- = ---------- [16, 8, 3] [16, 3] [13, 8, 4, 0] [13, 4, 0] ------------- = ---------- [16, 8, 3] [16, 3] [1, 2, 8, 2, 0] [1, 2, 2, 0] --------------- = ------------ [16, 8, 3] [16, 3] [1, 5, 8, 1, 0] [1, 5, 1, 0] --------------- = ------------ [16, 8, 3] [16, 3] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [16, 8, 3] [16, 3] denominator=, [16, 8, 4] [5, 8, 7, 0] [5, 7, 0] ------------ = --------- [16, 8, 4] [16, 4] [1, 10, 8, 1, 0] [1, 10, 1, 0] ---------------- = ------------- [16, 8, 4] [16, 4] denominator=, [16, 8, 7] [5, 8, 8, 0] [5, 8, 0] ------------ = --------- [16, 8, 7] [16, 7] [1, 10, 8, 6, 0] [1, 10, 6, 0] ---------------- = ------------- [16, 8, 7] [16, 7] [2, 4, 8, 5, 0] [2, 4, 5, 0] --------------- = ------------ [16, 8, 7] [16, 7] [3, 9, 8, 3, 0] [3, 9, 3, 0] --------------- = ------------ [16, 8, 7] [16, 7] [4, 3, 8, 2, 0] [4, 3, 2, 0] --------------- = ------------ [16, 8, 7] [16, 7] [5, 8, 8, 0, 0] [5, 8, 0, 0] --------------- = ------------ [16, 8, 7] [16, 7] denominator=, [16, 9, 8] [4, 1, 9, 3, 0] [4, 1, 3, 0] --------------- = ------------ [16, 9, 8] [16, 8] denominator=, [16, 10, 8] [2, 1, 10, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [16, 10, 8] [16, 8] [3, 3, 10, 2, 0] [3, 3, 2, 0] ---------------- = ------------ [16, 10, 8] [16, 8] denominator=, [16, 11, 10] [6, 3, 11, 1, 0] [6, 3, 1, 0] ---------------- = ------------ [16, 11, 10] [16, 10] denominator=, [16, 14, 7] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [16, 14, 7] [16, 7] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [16, 14, 7] [16, 7] denominator=, [16, 14, 13] [7, 14, 14, 0] [7, 14, 0] -------------- = ---------- [16, 14, 13] [16, 13] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [2, 0, 14, 11, 0] [2, 0, 11, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [3, 1, 14, 9, 0] [3, 1, 9, 0] ---------------- = ------------ [16, 14, 13] [16, 13] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [4, 2, 14, 7, 0] [4, 2, 7, 0] ---------------- = ------------ [16, 14, 13] [16, 13] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [5, 3, 14, 5, 0] [5, 3, 5, 0] ---------------- = ------------ [16, 14, 13] [16, 13] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [6, 4, 14, 3, 0] [6, 4, 3, 0] ---------------- = ------------ [16, 14, 13] [16, 13] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [16, 14, 13] [16, 13] [7, 5, 14, 1, 0] [7, 5, 1, 0] ---------------- = ------------ [16, 14, 13] [16, 13] [7, 14, 14, 0, 0] [7, 14, 0, 0] ----------------- = ------------- [16, 14, 13] [16, 13] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [1, 15, 0] [1, 15] [15] ---------- = ------- [1, 15, 0] [15, 0] denominator=, [1, 16, 0] [1, 16] [16] ---------- = ------- [1, 16, 0] [16, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 9, 0] [2, 9] [9] --------- = ------ [2, 9, 0] [9, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 11, 0] [2, 11] [11] ---------- = ------- [2, 11, 0] [11, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 13, 0] [2, 13] [13] ---------- = ------- [2, 13, 0] [13, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [2, 15, 0] [2, 15] [15] ---------- = ------- [2, 15, 0] [15, 0] denominator=, [2, 16, 0] [2, 16] [16] ---------- = ------- [2, 16, 0] [16, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [3, 15, 0] [3, 15] [15] ---------- = ------- [3, 15, 0] [15, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 7, 0] [4, 7] [7] --------- = ------ [4, 7, 0] [7, 0] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 9, 0] [4, 9] [9] --------- = ------ [4, 9, 0] [9, 0] denominator=, [4, 10, 0] [4, 10] [10] ---------- = ------- [4, 10, 0] [10, 0] denominator=, [4, 11, 0] [4, 11] [11] ---------- = ------- [4, 11, 0] [11, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [4, 13, 0] [4, 13] [13] ---------- = ------- [4, 13, 0] [13, 0] denominator=, [4, 14, 0] [4, 14] [14] ---------- = ------- [4, 14, 0] [14, 0] denominator=, [4, 15, 0] [4, 15] [15] ---------- = ------- [4, 15, 0] [15, 0] denominator=, [4, 16, 0] [4, 16] [16] ---------- = ------- [4, 16, 0] [16, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 15, 0] [5, 15] [15] ---------- = ------- [5, 15, 0] [15, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [6, 15, 0] [6, 15] [15] ---------- = ------- [6, 15, 0] [15, 0] denominator=, [6, 16, 0] [6, 16] [16] ---------- = ------- [6, 16, 0] [16, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 0] [7, 14] [14] ---------- = ------- [7, 14, 0] [14, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] [1, 8, 1] [1, 1] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] [1, 8, 4] [1, 4] --------- = ------ [8, 7, 0] [7, 0] [2, 8, 1] [2, 1] --------- = ------ [8, 7, 0] [7, 0] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 16, 0] [9, 16] [16] ---------- = ------- [9, 16, 0] [16, 0] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] [1, 12, 4] [1, 4] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] [3, 12, 4] [3, 4] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 12, 9] [1, 12, 12, 4] [1, 12, 4] -------------- = ---------- [12, 12, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [15, 1, 0] [15, 1] [1] ---------- = ------ [15, 1, 0] [1, 0] denominator=, [15, 2, 0] [15, 2] [2] ---------- = ------ [15, 2, 0] [2, 0] denominator=, [15, 3, 0] [15, 3] [3] ---------- = ------ [15, 3, 0] [3, 0] denominator=, [15, 4, 0] [15, 4] [4] ---------- = ------ [15, 4, 0] [4, 0] denominator=, [15, 5, 0] [15, 5] [5] ---------- = ------ [15, 5, 0] [5, 0] denominator=, [15, 6, 0] [15, 6] [6] ---------- = ------ [15, 6, 0] [6, 0] denominator=, [15, 7, 0] [15, 7] [7] ---------- = ------ [15, 7, 0] [7, 0] denominator=, [15, 8, 0] [15, 8] [8] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 9, 0] [15, 9] [9] ---------- = ------ [15, 9, 0] [9, 0] denominator=, [15, 10, 0] [15, 10] [10] ----------- = ------- [15, 10, 0] [10, 0] denominator=, [15, 11, 0] [15, 11] [11] ----------- = ------- [15, 11, 0] [11, 0] denominator=, [15, 12, 0] [15, 12] [12] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 13, 0] [15, 13] [13] ----------- = ------- [15, 13, 0] [13, 0] denominator=, [15, 14, 0] [15, 14] [14] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [16, 1, 0] [16, 1] [1] ---------- = ------ [16, 1, 0] [1, 0] denominator=, [16, 2, 0] [16, 2] [2] ---------- = ------ [16, 2, 0] [2, 0] denominator=, [16, 3, 0] [16, 3] [3] ---------- = ------ [16, 3, 0] [3, 0] denominator=, [16, 4, 0] [16, 4] [4] ---------- = ------ [16, 4, 0] [4, 0] denominator=, [16, 5, 0] [16, 5] [5] ---------- = ------ [16, 5, 0] [5, 0] denominator=, [16, 6, 0] [16, 6] [6] ---------- = ------ [16, 6, 0] [6, 0] denominator=, [16, 7, 0] [16, 7] [7] ---------- = ------ [16, 7, 0] [7, 0] denominator=, [16, 8, 0] [16, 8] [8] ---------- = ------ [16, 8, 0] [8, 0] denominator=, [16, 9, 0] [16, 9] [9] ---------- = ------ [16, 9, 0] [9, 0] [1, 16, 1] [1, 1] ---------- = ------ [16, 9, 0] [9, 0] denominator=, [16, 10, 0] [16, 10] [10] ----------- = ------- [16, 10, 0] [10, 0] [1, 16, 3] [1, 3] ----------- = ------- [16, 10, 0] [10, 0] denominator=, [16, 11, 0] [16, 11] [11] ----------- = ------- [16, 11, 0] [11, 0] [1, 16, 5] [1, 5] ----------- = ------- [16, 11, 0] [11, 0] denominator=, [16, 12, 0] [16, 12] [12] ----------- = ------- [16, 12, 0] [12, 0] [1, 16, 7] [1, 7] ----------- = ------- [16, 12, 0] [12, 0] [2, 16, 2] [2, 2] ----------- = ------- [16, 12, 0] [12, 0] denominator=, [16, 13, 0] [16, 13] [13] ----------- = ------- [16, 13, 0] [13, 0] [1, 16, 9] [1, 9] ----------- = ------- [16, 13, 0] [13, 0] [2, 16, 5] [2, 5] ----------- = ------- [16, 13, 0] [13, 0] [3, 16, 1] [3, 1] ----------- = ------- [16, 13, 0] [13, 0] denominator=, [16, 14, 0] [16, 14] [14] ----------- = ------- [16, 14, 0] [14, 0] [1, 16, 11] [1, 11] ----------- = ------- [16, 14, 0] [14, 0] [2, 16, 8] [2, 8] ----------- = ------- [16, 14, 0] [14, 0] [3, 16, 5] [3, 5] ----------- = ------- [16, 14, 0] [14, 0] [4, 16, 2] [4, 2] ----------- = ------- [16, 14, 0] [14, 0] denominator=, [16, 15, 0] [16, 15] [15] ----------- = ------- [16, 15, 0] [15, 0] [1, 16, 13] [1, 13] ----------- = ------- [16, 15, 0] [15, 0] [2, 16, 11] [2, 11] ----------- = ------- [16, 15, 0] [15, 0] [3, 16, 9] [3, 9] ----------- = ------- [16, 15, 0] [15, 0] [4, 16, 7] [4, 7] ----------- = ------- [16, 15, 0] [15, 0] [5, 16, 5] [5, 5] ----------- = ------- [16, 15, 0] [15, 0] [6, 16, 3] [6, 3] ----------- = ------- [16, 15, 0] [15, 0] [7, 16, 1] [7, 1] ----------- = ------- [16, 15, 0] [15, 0] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 17, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [3, 2, 14] [1, 3, 0, 15] [1, 0, 15] ------------- = ---------- [3, 2, 14] [2, 14] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [5, 4, 2] [1, 5, 0, 5] [1, 0, 5] ------------ = --------- [5, 4, 2] [4, 2] denominator=, [5, 4, 7] [1, 5, 1, 9] [1, 1, 9] ------------ = --------- [5, 4, 7] [4, 7] denominator=, [5, 4, 12] [1, 5, 2, 13] [1, 2, 13] ------------- = ---------- [5, 4, 12] [4, 12] [2, 5, 0, 14] [2, 0, 14] ------------- = ---------- [5, 4, 12] [4, 12] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 13] [1, 6, 0, 8] [1, 0, 8] ------------ = --------- [6, 4, 13] [4, 13] denominator=, [6, 4, 16] [1, 6, 1, 2] [1, 1, 2] ------------ = --------- [6, 4, 16] [4, 16] denominator=, [6, 5, 2] [1, 6, 1, 13] [1, 1, 13] ------------- = ---------- [6, 5, 2] [5, 2] denominator=, [6, 5, 5] [1, 6, 2, 7] [1, 2, 7] ------------ = --------- [6, 5, 5] [5, 5] denominator=, [6, 5, 8] [1, 6, 3, 1] [1, 3, 1] ------------ = --------- [6, 5, 8] [5, 8] [2, 6, 0, 11] [2, 0, 11] ------------- = ---------- [6, 5, 8] [5, 8] denominator=, [6, 5, 11] [1, 6, 3, 12] [1, 3, 12] ------------- = ---------- [6, 5, 11] [5, 11] [2, 6, 1, 13] [2, 1, 13] ------------- = ---------- [6, 5, 11] [5, 11] denominator=, [6, 5, 14] [1, 6, 4, 6] [1, 4, 6] ------------ = --------- [6, 5, 14] [5, 14] [2, 6, 2, 15] [2, 2, 15] ------------- = ---------- [6, 5, 14] [5, 14] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 3] [1, 6, 5, 11] [1, 5, 11] ------------- = ---------- [6, 6, 3] [6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [5, 6, 3, 9] [5, 3, 9] ------------ = --------- [6, 6, 3] [6, 3] [7, 6, 2, 8] [7, 2, 8] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 16] [8, 1, 16] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 15] [10, 0, 15] -------------- = ----------- [6, 6, 3] [6, 3] [11, 6, 0, 6] [11, 0, 6] ------------- = ---------- [6, 6, 3] [6, 3] denominator=, [7, 5, 6] [1, 7, 0, 10] [1, 0, 10] ------------- = ---------- [7, 5, 6] [5, 6] denominator=, [7, 5, 13] [1, 7, 1, 16] [1, 1, 16] ------------- = ---------- [7, 5, 13] [5, 13] denominator=, [7, 6, 3] [1, 7, 3, 5] [1, 3, 5] ------------ = --------- [7, 6, 3] [6, 3] [2, 7, 0, 7] [2, 0, 7] ------------ = --------- [7, 6, 3] [6, 3] denominator=, [7, 6, 10] [1, 7, 4, 11] [1, 4, 11] ------------- = ---------- [7, 6, 10] [6, 10] [2, 7, 2, 12] [2, 2, 12] ------------- = ---------- [7, 6, 10] [6, 10] [3, 7, 0, 13] [3, 0, 13] ------------- = ---------- [7, 6, 10] [6, 10] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [9, 6, 6] [1, 9, 0, 11] [1, 0, 11] ------------- = ---------- [9, 6, 6] [6, 6] denominator=, [9, 6, 15] [1, 9, 2, 2] [1, 2, 2] ------------ = --------- [9, 6, 15] [6, 15] denominator=, [9, 7, 7] [1, 9, 3, 10] [1, 3, 10] ------------- = ---------- [9, 7, 7] [7, 7] denominator=, [9, 7, 16] [1, 9, 5, 1] [1, 5, 1] ------------ = --------- [9, 7, 16] [7, 16] [2, 9, 2, 3] [2, 2, 3] ------------ = --------- [9, 7, 16] [7, 16] denominator=, [9, 8, 2] [3, 9, 0, 7] [3, 0, 7] ------------ = --------- [9, 8, 2] [8, 2] denominator=, [9, 8, 5] [3, 9, 1, 9] [3, 1, 9] ------------ = --------- [9, 8, 5] [8, 5] denominator=, [9, 8, 8] [1, 9, 6, 9] [1, 6, 9] ------------ = --------- [9, 8, 8] [8, 8] [2, 9, 4, 10] [2, 4, 10] ------------- = ---------- [9, 8, 8] [8, 8] [3, 9, 2, 11] [3, 2, 11] ------------- = ---------- [9, 8, 8] [8, 8] [4, 9, 0, 12] [4, 0, 12] ------------- = ---------- [9, 8, 8] [8, 8] denominator=, [9, 8, 11] [3, 9, 3, 13] [3, 3, 13] ------------- = ---------- [9, 8, 11] [8, 11] denominator=, [9, 8, 14] [3, 9, 4, 15] [3, 4, 15] ------------- = ---------- [9, 8, 14] [8, 14] [6, 9, 0, 16] [6, 0, 16] ------------- = ---------- [9, 8, 14] [8, 14] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 16] [12, 0, 16] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 15] [12, 4, 15] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 13] [15, 3, 13] -------------- = ----------- [9, 9, 6] [9, 6] [1, 4, 9, 1, 9] [1, 4, 1, 9] --------------- = ------------ [9, 9, 6] [9, 6] [1, 7, 9, 0, 7] [1, 7, 0, 7] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [10, 6, 13] [1, 10, 0, 10] [1, 0, 10] -------------- = ---------- [10, 6, 13] [6, 13] denominator=, [10, 7, 1] [1, 10, 1, 6] [1, 1, 6] ------------- = --------- [10, 7, 1] [7, 1] denominator=, [10, 7, 6] [1, 10, 2, 2] [1, 2, 2] ------------- = --------- [10, 7, 6] [7, 6] denominator=, [10, 7, 11] [1, 10, 2, 15] [1, 2, 15] -------------- = ---------- [10, 7, 11] [7, 11] denominator=, [10, 7, 16] [1, 10, 3, 11] [1, 3, 11] -------------- = ---------- [10, 7, 16] [7, 16] denominator=, [10, 8, 4] [1, 10, 4, 7] [1, 4, 7] ------------- = --------- [10, 8, 4] [8, 4] [2, 10, 0, 10] [2, 0, 10] -------------- = ---------- [10, 8, 4] [8, 4] denominator=, [10, 8, 9] [1, 10, 5, 3] [1, 5, 3] ------------- = --------- [10, 8, 9] [8, 9] [2, 10, 1, 14] [2, 1, 14] -------------- = ---------- [10, 8, 9] [8, 9] denominator=, [10, 8, 14] [1, 10, 5, 16] [1, 5, 16] -------------- = ---------- [10, 8, 14] [8, 14] [2, 10, 3, 1] [2, 3, 1] ------------- = --------- [10, 8, 14] [8, 14] [3, 10, 0, 3] [3, 0, 3] ------------- = --------- [10, 8, 14] [8, 14] denominator=, [10, 9, 2] [1, 10, 6, 12] [1, 6, 12] -------------- = ---------- [10, 9, 2] [9, 2] [2, 10, 4, 5] [2, 4, 5] ------------- = --------- [10, 9, 2] [9, 2] [3, 10, 1, 15] [3, 1, 15] -------------- = ---------- [10, 9, 2] [9, 2] denominator=, [10, 9, 7] [1, 10, 7, 8] [1, 7, 8] ------------- = --------- [10, 9, 7] [9, 7] [2, 10, 5, 9] [2, 5, 9] ------------- = --------- [10, 9, 7] [9, 7] [3, 10, 3, 10] [3, 3, 10] -------------- = ---------- [10, 9, 7] [9, 7] [4, 10, 1, 11] [4, 1, 11] -------------- = ---------- [10, 9, 7] [9, 7] denominator=, [10, 9, 12] [1, 10, 8, 4] [1, 8, 4] ------------- = --------- [10, 9, 12] [9, 12] [2, 10, 6, 13] [2, 6, 13] -------------- = ---------- [10, 9, 12] [9, 12] [3, 10, 5, 5] [3, 5, 5] ------------- = --------- [10, 9, 12] [9, 12] [4, 10, 3, 14] [4, 3, 14] -------------- = ---------- [10, 9, 12] [9, 12] [6, 10, 0, 15] [6, 0, 15] -------------- = ---------- [10, 9, 12] [9, 12] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 13] [1, 9, 13] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 12] [3, 8, 12] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 10] [7, 6, 10] -------------- = ---------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 9] [9, 5, 9] ------------- = --------- [10, 10, 5] [10, 5] [11, 10, 4, 8] [11, 4, 8] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 16] [12, 3, 16] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 7] [13, 3, 7] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 15] [14, 2, 15] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 14] [16, 1, 14] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 1, 5] [1, 0, 1, 5] ---------------- = ------------ [10, 10, 5] [10, 5] [1, 1, 10, 0, 13] [1, 1, 0, 13] ----------------- = ------------- [10, 10, 5] [10, 5] [1, 2, 10, 0, 4] [1, 2, 0, 4] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [11, 7, 2] [1, 11, 0, 8] [1, 0, 8] ------------- = --------- [11, 7, 2] [7, 2] denominator=, [11, 7, 13] [1, 11, 2, 1] [1, 2, 1] ------------- = --------- [11, 7, 13] [7, 13] denominator=, [11, 8, 7] [1, 11, 3, 11] [1, 3, 11] -------------- = ---------- [11, 8, 7] [8, 7] denominator=, [11, 9, 1] [1, 11, 5, 4] [1, 5, 4] ------------- = --------- [11, 9, 1] [9, 1] [2, 11, 1, 7] [2, 1, 7] ------------- = --------- [11, 9, 1] [9, 1] denominator=, [11, 9, 12] [1, 11, 6, 14] [1, 6, 14] -------------- = ---------- [11, 9, 12] [9, 12] [2, 11, 3, 16] [2, 3, 16] -------------- = ---------- [11, 9, 12] [9, 12] [3, 11, 1, 1] [3, 1, 1] ------------- = --------- [11, 9, 12] [9, 12] denominator=, [11, 10, 6] [1, 11, 8, 7] [1, 8, 7] ------------- = --------- [11, 10, 6] [10, 6] [2, 11, 6, 8] [2, 6, 8] ------------- = --------- [11, 10, 6] [10, 6] [3, 11, 4, 9] [3, 4, 9] ------------- = --------- [11, 10, 6] [10, 6] [4, 11, 2, 10] [4, 2, 10] -------------- = ---------- [11, 10, 6] [10, 6] [5, 11, 0, 11] [5, 0, 11] -------------- = ---------- [11, 10, 6] [10, 6] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 7, 7] [1, 12, 0, 5] [1, 0, 5] ------------- = --------- [12, 7, 7] [7, 7] denominator=, [12, 7, 10] [1, 12, 0, 12] [1, 0, 12] -------------- = ---------- [12, 7, 10] [7, 10] denominator=, [12, 7, 13] [1, 12, 1, 2] [1, 1, 2] ------------- = --------- [12, 7, 13] [7, 13] denominator=, [12, 7, 16] [1, 12, 1, 9] [1, 1, 9] ------------- = --------- [12, 7, 16] [7, 16] denominator=, [12, 8, 2] [1, 12, 1, 16] [1, 1, 16] -------------- = ---------- [12, 8, 2] [8, 2] denominator=, [12, 8, 5] [1, 12, 2, 6] [1, 2, 6] ------------- = --------- [12, 8, 5] [8, 5] denominator=, [12, 8, 8] [1, 12, 2, 13] [1, 2, 13] -------------- = ---------- [12, 8, 8] [8, 8] denominator=, [12, 8, 11] [1, 12, 3, 3] [1, 3, 3] ------------- = --------- [12, 8, 11] [8, 11] denominator=, [12, 8, 14] [1, 12, 3, 10] [1, 3, 10] -------------- = ---------- [12, 8, 14] [8, 14] denominator=, [12, 9, 0] [1, 12, 4, 0] [1, 4, 0] ------------- = --------- [12, 9, 0] [9, 0] denominator=, [12, 9, 3] [1, 12, 4, 7] [1, 4, 7] ------------- = --------- [12, 9, 3] [9, 3] denominator=, [12, 9, 6] [1, 12, 4, 14] [1, 4, 14] -------------- = ---------- [12, 9, 6] [9, 6] [2, 12, 0, 5] [2, 0, 5] ------------- = --------- [12, 9, 6] [9, 6] denominator=, [12, 9, 9] [1, 12, 5, 4] [1, 5, 4] ------------- = --------- [12, 9, 9] [9, 9] [2, 12, 0, 16] [2, 0, 16] -------------- = ---------- [12, 9, 9] [9, 9] denominator=, [12, 9, 12] [1, 12, 5, 11] [1, 5, 11] -------------- = ---------- [12, 9, 12] [9, 12] [2, 12, 1, 10] [2, 1, 10] -------------- = ---------- [12, 9, 12] [9, 12] denominator=, [12, 9, 15] [1, 12, 6, 1] [1, 6, 1] ------------- = --------- [12, 9, 15] [9, 15] [2, 12, 2, 4] [2, 2, 4] ------------- = --------- [12, 9, 15] [9, 15] denominator=, [12, 10, 1] [1, 12, 6, 8] [1, 6, 8] ------------- = --------- [12, 10, 1] [10, 1] [2, 12, 2, 15] [2, 2, 15] -------------- = ---------- [12, 10, 1] [10, 1] denominator=, [12, 10, 4] [1, 12, 6, 15] [1, 6, 15] -------------- = ---------- [12, 10, 4] [10, 4] [2, 12, 3, 9] [2, 3, 9] ------------- = --------- [12, 10, 4] [10, 4] denominator=, [12, 10, 7] [1, 12, 7, 5] [1, 7, 5] ------------- = --------- [12, 10, 7] [10, 7] [2, 12, 4, 3] [2, 4, 3] ------------- = --------- [12, 10, 7] [10, 7] denominator=, [12, 10, 10] [1, 12, 7, 12] [1, 7, 12] -------------- = ---------- [12, 10, 10] [10, 10] [2, 12, 4, 14] [2, 4, 14] -------------- = ---------- [12, 10, 10] [10, 10] denominator=, [12, 10, 13] [1, 12, 8, 2] [1, 8, 2] ------------- = --------- [12, 10, 13] [10, 13] [2, 12, 5, 8] [2, 5, 8] ------------- = --------- [12, 10, 13] [10, 13] [4, 12, 0, 3] [4, 0, 3] ------------- = --------- [12, 10, 13] [10, 13] denominator=, [12, 10, 16] [1, 12, 8, 9] [1, 8, 9] ------------- = --------- [12, 10, 16] [10, 16] [2, 12, 6, 2] [2, 6, 2] ------------- = --------- [12, 10, 16] [10, 16] [4, 12, 1, 5] [4, 1, 5] ------------- = --------- [12, 10, 16] [10, 16] denominator=, [12, 11, 2] [1, 12, 8, 16] [1, 8, 16] -------------- = ---------- [12, 11, 2] [11, 2] [2, 12, 6, 13] [2, 6, 13] -------------- = ---------- [12, 11, 2] [11, 2] [4, 12, 2, 7] [4, 2, 7] ------------- = --------- [12, 11, 2] [11, 2] [5, 12, 0, 4] [5, 0, 4] ------------- = --------- [12, 11, 2] [11, 2] denominator=, [12, 11, 5] [1, 12, 9, 6] [1, 9, 6] ------------- = --------- [12, 11, 5] [11, 5] [2, 12, 7, 7] [2, 7, 7] ------------- = --------- [12, 11, 5] [11, 5] [4, 12, 3, 9] [4, 3, 9] ------------- = --------- [12, 11, 5] [11, 5] [5, 12, 1, 10] [5, 1, 10] -------------- = ---------- [12, 11, 5] [11, 5] denominator=, [12, 11, 8] [1, 12, 9, 13] [1, 9, 13] -------------- = ---------- [12, 11, 8] [11, 8] [2, 12, 8, 1] [2, 8, 1] ------------- = --------- [12, 11, 8] [11, 8] [4, 12, 4, 11] [4, 4, 11] -------------- = ---------- [12, 11, 8] [11, 8] [5, 12, 2, 16] [5, 2, 16] -------------- = ---------- [12, 11, 8] [11, 8] denominator=, [12, 11, 11] [1, 12, 10, 3] [1, 10, 3] -------------- = ---------- [12, 11, 11] [11, 11] [2, 12, 8, 12] [2, 8, 12] -------------- = ---------- [12, 11, 11] [11, 11] [4, 12, 5, 13] [4, 5, 13] -------------- = ---------- [12, 11, 11] [11, 11] [5, 12, 4, 5] [5, 4, 5] ------------- = --------- [12, 11, 11] [11, 11] [7, 12, 1, 6] [7, 1, 6] ------------- = --------- [12, 11, 11] [11, 11] denominator=, [12, 11, 14] [1, 12, 10, 10] [1, 10, 10] --------------- = ----------- [12, 11, 14] [11, 14] [2, 12, 9, 6] [2, 9, 6] ------------- = --------- [12, 11, 14] [11, 14] [4, 12, 6, 15] [4, 6, 15] -------------- = ---------- [12, 11, 14] [11, 14] [5, 12, 5, 11] [5, 5, 11] -------------- = ---------- [12, 11, 14] [11, 14] [7, 12, 3, 3] [7, 3, 3] ------------- = --------- [12, 11, 14] [11, 14] [8, 12, 1, 16] [8, 1, 16] -------------- = ---------- [12, 11, 14] [11, 14] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 3] [1, 12, 11, 7] [1, 11, 7] -------------- = ---------- [12, 12, 3] [12, 3] [2, 12, 10, 11] [2, 10, 11] --------------- = ----------- [12, 12, 3] [12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [5, 12, 8, 6] [5, 8, 6] ------------- = --------- [12, 12, 3] [12, 3] [7, 12, 6, 14] [7, 6, 14] -------------- = ---------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] [10, 12, 4, 9] [10, 4, 9] -------------- = ---------- [12, 12, 3] [12, 3] [11, 12, 3, 13] [11, 3, 13] --------------- = ----------- [12, 12, 3] [12, 3] [13, 12, 2, 4] [13, 2, 4] -------------- = ---------- [12, 12, 3] [12, 3] [14, 12, 1, 8] [14, 1, 8] -------------- = ---------- [12, 12, 3] [12, 3] denominator=, [12, 12, 6] [1, 12, 11, 14] [1, 11, 14] --------------- = ----------- [12, 12, 6] [12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [5, 12, 9, 12] [5, 9, 12] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 11] [7, 8, 11] -------------- = ---------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 9] [11, 6, 9] -------------- = ---------- [12, 12, 6] [12, 6] [13, 12, 5, 8] [13, 5, 8] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 16] [14, 4, 16] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 15] [16, 3, 15] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 3, 6] [1, 0, 3, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 2, 12, 2, 5] [1, 2, 2, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 3, 12, 1, 13] [1, 3, 1, 13] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 5, 12, 0, 12] [1, 5, 0, 12] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 6, 12, 0, 3] [1, 6, 0, 3] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 9] [1, 12, 12, 4] [1, 12, 4] -------------- = ---------- [12, 12, 9] [12, 9] [2, 12, 11, 16] [2, 11, 16] --------------- = ----------- [12, 12, 9] [12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [5, 12, 11, 1] [5, 11, 1] -------------- = ---------- [12, 12, 9] [12, 9] [7, 12, 10, 8] [7, 10, 8] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [10, 12, 9, 10] [10, 9, 10] --------------- = ----------- [12, 12, 9] [12, 9] [11, 12, 9, 5] [11, 9, 5] -------------- = ---------- [12, 12, 9] [12, 9] [13, 12, 8, 12] [13, 8, 12] --------------- = ----------- [12, 12, 9] [12, 9] [14, 12, 8, 7] [14, 8, 7] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 14] [16, 7, 14] --------------- = ----------- [12, 12, 9] [12, 9] [1, 0, 12, 7, 9] [1, 0, 7, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 2, 12, 6, 16] [1, 2, 6, 16] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 3, 12, 6, 11] [1, 3, 6, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 5, 12, 6, 1] [1, 5, 6, 1] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 6, 12, 5, 13] [1, 6, 5, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 8, 12, 5, 3] [1, 8, 5, 3] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 9, 12, 4, 15] [1, 9, 4, 15] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 11, 12, 4, 5] [1, 11, 4, 5] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 12, 12, 4, 0] [1, 12, 4, 0] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 14, 12, 3, 7] [1, 14, 3, 7] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 15, 12, 3, 2] [1, 15, 3, 2] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 0, 12, 2, 9] [2, 0, 2, 9] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 1, 12, 2, 4] [2, 1, 2, 4] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 3, 12, 1, 11] [2, 3, 1, 11] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 4, 12, 1, 6] [2, 4, 1, 6] ---------------- = ------------ [12, 12, 9] [12, 9] [2, 6, 12, 0, 13] [2, 6, 0, 13] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 7, 12, 0, 8] [2, 7, 0, 8] ---------------- = ------------ [12, 12, 9] [12, 9] denominator=, [13, 7, 11] [1, 13, 0, 1] [1, 0, 1] ------------- = --------- [13, 7, 11] [7, 11] denominator=, [13, 8, 7] [1, 13, 1, 13] [1, 1, 13] -------------- = ---------- [13, 8, 7] [8, 7] denominator=, [13, 9, 3] [1, 13, 3, 8] [1, 3, 8] ------------- = --------- [13, 9, 3] [9, 3] denominator=, [13, 9, 16] [1, 13, 5, 3] [1, 5, 3] ------------- = --------- [13, 9, 16] [9, 16] [2, 13, 0, 7] [2, 0, 7] ------------- = --------- [13, 9, 16] [9, 16] denominator=, [13, 10, 12] [1, 13, 6, 15] [1, 6, 15] -------------- = ---------- [13, 10, 12] [10, 12] [2, 13, 3, 1] [2, 3, 1] ------------- = --------- [13, 10, 12] [10, 12] denominator=, [13, 11, 8] [1, 13, 8, 10] [1, 8, 10] -------------- = ---------- [13, 11, 8] [11, 8] [2, 13, 5, 12] [2, 5, 12] -------------- = ---------- [13, 11, 8] [11, 8] [3, 13, 2, 14] [3, 2, 14] -------------- = ---------- [13, 11, 8] [11, 8] denominator=, [13, 12, 4] [1, 13, 10, 5] [1, 10, 5] -------------- = ---------- [13, 12, 4] [12, 4] [2, 13, 8, 6] [2, 8, 6] ------------- = --------- [13, 12, 4] [12, 4] [3, 13, 6, 7] [3, 6, 7] ------------- = --------- [13, 12, 4] [12, 4] [4, 13, 4, 8] [4, 4, 8] ------------- = --------- [13, 12, 4] [12, 4] [5, 13, 2, 9] [5, 2, 9] ------------- = --------- [13, 12, 4] [12, 4] [6, 13, 0, 10] [6, 0, 10] -------------- = ---------- [13, 12, 4] [12, 4] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [14, 8, 4] [1, 14, 0, 11] [1, 0, 11] -------------- = ---------- [14, 8, 4] [8, 4] denominator=, [14, 8, 11] [1, 14, 1, 9] [1, 1, 9] ------------- = --------- [14, 8, 11] [8, 11] denominator=, [14, 9, 1] [1, 14, 2, 7] [1, 2, 7] ------------- = --------- [14, 9, 1] [9, 1] denominator=, [14, 9, 8] [1, 14, 3, 5] [1, 3, 5] ------------- = --------- [14, 9, 8] [9, 8] denominator=, [14, 9, 15] [1, 14, 4, 3] [1, 4, 3] ------------- = --------- [14, 9, 15] [9, 15] denominator=, [14, 10, 5] [1, 14, 5, 1] [1, 5, 1] ------------- = --------- [14, 10, 5] [10, 5] denominator=, [14, 10, 12] [1, 14, 5, 16] [1, 5, 16] -------------- = ---------- [14, 10, 12] [10, 12] [2, 14, 1, 3] [2, 1, 3] ------------- = --------- [14, 10, 12] [10, 12] denominator=, [14, 11, 2] [1, 14, 6, 14] [1, 6, 14] -------------- = ---------- [14, 11, 2] [11, 2] [2, 14, 2, 9] [2, 2, 9] ------------- = --------- [14, 11, 2] [11, 2] denominator=, [14, 11, 9] [1, 14, 7, 12] [1, 7, 12] -------------- = ---------- [14, 11, 9] [11, 9] [2, 14, 3, 15] [2, 3, 15] -------------- = ---------- [14, 11, 9] [11, 9] [3, 14, 0, 1] [3, 0, 1] ------------- = --------- [14, 11, 9] [11, 9] denominator=, [14, 11, 16] [1, 14, 8, 10] [1, 8, 10] -------------- = ---------- [14, 11, 16] [11, 16] [2, 14, 5, 4] [2, 5, 4] ------------- = --------- [14, 11, 16] [11, 16] [3, 14, 1, 15] [3, 1, 15] -------------- = ---------- [14, 11, 16] [11, 16] denominator=, [14, 12, 6] [1, 14, 9, 8] [1, 9, 8] ------------- = --------- [14, 12, 6] [12, 6] [2, 14, 6, 10] [2, 6, 10] -------------- = ---------- [14, 12, 6] [12, 6] [3, 14, 3, 12] [3, 3, 12] -------------- = ---------- [14, 12, 6] [12, 6] [4, 14, 0, 14] [4, 0, 14] -------------- = ---------- [14, 12, 6] [12, 6] denominator=, [14, 12, 13] [1, 14, 10, 6] [1, 10, 6] -------------- = ---------- [14, 12, 13] [12, 13] [2, 14, 7, 16] [2, 7, 16] -------------- = ---------- [14, 12, 13] [12, 13] [3, 14, 5, 9] [3, 5, 9] ------------- = --------- [14, 12, 13] [12, 13] [4, 14, 3, 2] [4, 3, 2] ------------- = --------- [14, 12, 13] [12, 13] [5, 14, 0, 12] [5, 0, 12] -------------- = ---------- [14, 12, 13] [12, 13] denominator=, [14, 13, 3] [1, 14, 11, 4] [1, 11, 4] -------------- = ---------- [14, 13, 3] [13, 3] [2, 14, 9, 5] [2, 9, 5] ------------- = --------- [14, 13, 3] [13, 3] [3, 14, 7, 6] [3, 7, 6] ------------- = --------- [14, 13, 3] [13, 3] [4, 14, 5, 7] [4, 5, 7] ------------- = --------- [14, 13, 3] [13, 3] [5, 14, 3, 8] [5, 3, 8] ------------- = --------- [14, 13, 3] [13, 3] [6, 14, 1, 9] [6, 1, 9] ------------- = --------- [14, 13, 3] [13, 3] denominator=, [14, 13, 10] [1, 14, 12, 2] [1, 12, 2] -------------- = ---------- [14, 13, 10] [13, 10] [2, 14, 10, 11] [2, 10, 11] --------------- = ----------- [14, 13, 10] [13, 10] [3, 14, 9, 3] [3, 9, 3] ------------- = --------- [14, 13, 10] [13, 10] [4, 14, 7, 12] [4, 7, 12] -------------- = ---------- [14, 13, 10] [13, 10] [5, 14, 6, 4] [5, 6, 4] ------------- = --------- [14, 13, 10] [13, 10] [6, 14, 4, 13] [6, 4, 13] -------------- = ---------- [14, 13, 10] [13, 10] [8, 14, 1, 14] [8, 1, 14] -------------- = ---------- [14, 13, 10] [13, 10] [9, 14, 0, 6] [9, 0, 6] ------------- = --------- [14, 13, 10] [13, 10] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 7] [1, 14, 13, 15] [1, 13, 15] --------------- = ----------- [14, 14, 7] [14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [3, 14, 12, 14] [3, 12, 14] --------------- = ----------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [5, 14, 11, 13] [5, 11, 13] --------------- = ----------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [9, 14, 9, 11] [9, 9, 11] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [11, 14, 8, 10] [11, 8, 10] --------------- = ----------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [13, 14, 7, 9] [13, 7, 9] -------------- = ---------- [14, 14, 7] [14, 7] [15, 14, 6, 8] [15, 6, 8] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 16] [16, 5, 16] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 5, 7] [1, 0, 5, 7] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 1, 14, 4, 15] [1, 1, 4, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 4, 6] [1, 2, 4, 6] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 3, 14, 3, 14] [1, 3, 3, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 5, 14, 2, 13] [1, 5, 2, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 2, 4] [1, 6, 2, 4] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 7, 14, 1, 12] [1, 7, 1, 12] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 1, 3] [1, 8, 1, 3] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 9, 14, 0, 11] [1, 9, 0, 11] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 10, 14, 0, 2] [1, 10, 0, 2] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [15, 8, 14] [1, 15, 1, 4] [1, 1, 4] ------------- = --------- [15, 8, 14] [8, 14] denominator=, [15, 9, 12] [1, 15, 3, 1] [1, 3, 1] ------------- = --------- [15, 9, 12] [9, 12] denominator=, [15, 10, 10] [1, 15, 4, 15] [1, 4, 15] -------------- = ---------- [15, 10, 10] [10, 10] denominator=, [15, 11, 8] [1, 15, 6, 12] [1, 6, 12] -------------- = ---------- [15, 11, 8] [11, 8] [2, 15, 1, 16] [2, 1, 16] -------------- = ---------- [15, 11, 8] [11, 8] denominator=, [15, 12, 6] [1, 15, 8, 9] [1, 8, 9] ------------- = --------- [15, 12, 6] [12, 6] [2, 15, 4, 12] [2, 4, 12] -------------- = ---------- [15, 12, 6] [12, 6] [3, 15, 0, 15] [3, 0, 15] -------------- = ---------- [15, 12, 6] [12, 6] denominator=, [15, 12, 11] [3, 15, 2, 2] [3, 2, 2] ------------- = --------- [15, 12, 11] [12, 11] denominator=, [15, 12, 16] [3, 15, 3, 6] [3, 3, 6] ------------- = --------- [15, 12, 16] [12, 16] denominator=, [15, 13, 4] [1, 15, 10, 6] [1, 10, 6] -------------- = ---------- [15, 13, 4] [13, 4] [2, 15, 7, 8] [2, 7, 8] ------------- = --------- [15, 13, 4] [13, 4] [3, 15, 4, 10] [3, 4, 10] -------------- = ---------- [15, 13, 4] [13, 4] [4, 15, 1, 12] [4, 1, 12] -------------- = ---------- [15, 13, 4] [13, 4] denominator=, [15, 13, 9] [3, 15, 5, 14] [3, 5, 14] -------------- = ---------- [15, 13, 9] [13, 9] denominator=, [15, 13, 10] [5, 15, 1, 1] [5, 1, 1] ------------- = --------- [15, 13, 10] [13, 10] denominator=, [15, 13, 13] [5, 15, 2, 3] [5, 2, 3] ------------- = --------- [15, 13, 13] [13, 13] denominator=, [15, 13, 14] [3, 15, 7, 1] [3, 7, 1] ------------- = --------- [15, 13, 14] [13, 14] [6, 15, 0, 5] [6, 0, 5] ------------- = --------- [15, 13, 14] [13, 14] denominator=, [15, 13, 16] [5, 15, 3, 5] [5, 3, 5] ------------- = --------- [15, 13, 16] [13, 16] denominator=, [15, 14, 2] [1, 15, 12, 3] [1, 12, 3] -------------- = ---------- [15, 14, 2] [14, 2] [2, 15, 10, 4] [2, 10, 4] -------------- = ---------- [15, 14, 2] [14, 2] [3, 15, 8, 5] [3, 8, 5] ------------- = --------- [15, 14, 2] [14, 2] [4, 15, 6, 6] [4, 6, 6] ------------- = --------- [15, 14, 2] [14, 2] [5, 15, 4, 7] [5, 4, 7] ------------- = --------- [15, 14, 2] [14, 2] [6, 15, 2, 8] [6, 2, 8] ------------- = --------- [15, 14, 2] [14, 2] [7, 15, 0, 9] [7, 0, 9] ------------- = --------- [15, 14, 2] [14, 2] denominator=, [15, 14, 5] [5, 15, 5, 9] [5, 5, 9] ------------- = --------- [15, 14, 5] [14, 5] denominator=, [15, 14, 7] [3, 15, 9, 9] [3, 9, 9] ------------- = --------- [15, 14, 7] [14, 7] [6, 15, 4, 11] [6, 4, 11] -------------- = ---------- [15, 14, 7] [14, 7] denominator=, [15, 14, 8] [5, 15, 6, 11] [5, 6, 11] -------------- = ---------- [15, 14, 8] [14, 8] denominator=, [15, 14, 11] [5, 15, 7, 13] [5, 7, 13] -------------- = ---------- [15, 14, 11] [14, 11] [10, 15, 0, 15] [10, 0, 15] --------------- = ----------- [15, 14, 11] [14, 11] denominator=, [15, 14, 12] [3, 15, 10, 13] [3, 10, 13] --------------- = ----------- [15, 14, 12] [14, 12] [6, 15, 6, 14] [6, 6, 14] -------------- = ---------- [15, 14, 12] [14, 12] [9, 15, 2, 15] [9, 2, 15] -------------- = ---------- [15, 14, 12] [14, 12] denominator=, [15, 14, 14] [5, 15, 8, 15] [5, 8, 15] -------------- = ---------- [15, 14, 14] [14, 14] [10, 15, 2, 16] [10, 2, 16] --------------- = ----------- [15, 14, 14] [14, 14] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [1, 1, 15, 2, 16] [1, 1, 2, 16] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 4, 15, 0, 15] [1, 4, 0, 15] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 3, 15, 2, 15] [1, 3, 2, 15] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 3, 15, 6, 14] [1, 3, 6, 14] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 8, 15, 4, 11] [1, 8, 4, 11] ----------------- = ------------- [15, 15, 9] [15, 9] [2, 1, 15, 0, 5] [2, 1, 0, 5] ---------------- = ------------ [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [1, 1, 15, 8, 15] [1, 1, 8, 15] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 4, 15, 7, 13] [1, 4, 7, 13] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 6, 11] [1, 7, 6, 11] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 10, 15, 5, 9] [1, 10, 5, 9] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 16, 15, 3, 5] [1, 16, 3, 5] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 2, 15, 2, 3] [2, 2, 2, 3] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 5, 15, 1, 1] [2, 5, 1, 1] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 3, 15, 10, 13] [1, 3, 10, 13] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 8, 15, 9, 9] [1, 8, 9, 9] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 1, 15, 7, 1] [2, 1, 7, 1] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 6, 15, 5, 14] [2, 6, 5, 14] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 16, 15, 3, 6] [2, 16, 3, 6] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 4, 15, 2, 2] [3, 4, 2, 2] ---------------- = ------------ [15, 15, 12] [15, 12] ------------------------------------------------------------------------- This ends this book that took, 190.306, seconds to generate. ---------------------------------------------- Base , 18 Lots and Lots of Anomalous Cancellations in base, 18 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 18, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 18, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [17, 9] [1, 17] [1] ------- = --- [17, 9] [9] denominator=, [17, 12] [2, 17] [2] -------- = ---- [17, 12] [12] denominator=, [17, 15] [5, 17] [5] -------- = ---- [17, 15] [15] denominator=, [17, 16] [8, 17] [8] -------- = ---- [17, 16] [16] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 10, 4] [8, 4, 3] [8, 3] ---------- = ------- [1, 10, 4] [1, 10] denominator=, [1, 10, 7] [5, 7, 6] [5, 6] ---------- = ------- [1, 10, 7] [1, 10] denominator=, [1, 12, 3] [11, 3, 2] [11, 2] ---------- = ------- [1, 12, 3] [1, 12] denominator=, [1, 12, 10] [4, 10, 9] [4, 9] ----------- = ------- [1, 12, 10] [1, 12] denominator=, [1, 14, 8] [9, 8, 6] [9, 6] ---------- = ------- [1, 14, 8] [1, 14] denominator=, [1, 15, 6] [12, 6, 4] [12, 4] ---------- = ------- [1, 15, 6] [1, 15] denominator=, [1, 15, 11] [7, 11, 9] [7, 9] ----------- = ------- [1, 15, 11] [1, 15] denominator=, [1, 17, 5] [15, 5, 3] [15, 3] ---------- = ------- [1, 17, 5] [1, 17] denominator=, [1, 17, 14] [6, 14, 12] [6, 12] ----------- = ------- [1, 17, 14] [1, 17] denominator=, [2, 0, 9] [13, 9, 6] [13, 6] ---------- = ------- [2, 0, 9] [2, 0] denominator=, [2, 0, 12] [10, 12, 9] [10, 9] ----------- = ------- [2, 0, 12] [2, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 3, 12] [14, 12, 8] [14, 8] ----------- = ------- [2, 3, 12] [2, 3] denominator=, [2, 3, 13] [13, 13, 9] [13, 9] ----------- = ------- [2, 3, 13] [2, 3] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 4, 10] [17, 10, 6] [17, 6] ----------- = ------- [2, 4, 10] [2, 4] denominator=, [2, 4, 16] [11, 16, 12] [11, 12] ------------ = -------- [2, 4, 16] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 6, 14] [16, 14, 9] [16, 9] ----------- = ------- [2, 6, 14] [2, 6] denominator=, [2, 6, 15] [15, 15, 10] [15, 10] ------------ = -------- [2, 6, 15] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 8, 11] [1, 3, 11, 6] [1, 3, 6] ------------- = --------- [2, 8, 11] [2, 8] denominator=, [2, 9, 15] [1, 1, 15, 9] [1, 1, 9] ------------- = --------- [2, 9, 15] [2, 9] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 12, 16] [1, 4, 16, 9] [1, 4, 9] ------------- = --------- [2, 12, 16] [2, 12] denominator=, [2, 13, 7] [9, 7, 6] [9, 6] ---------- = ------- [2, 13, 7] [2, 13] [1, 11, 7, 3] [1, 11, 3] ------------- = ---------- [2, 13, 7] [2, 13] denominator=, [2, 14, 5] [12, 5, 4] [12, 4] ---------- = ------- [2, 14, 5] [2, 14] [1, 13, 5, 2] [1, 13, 2] ------------- = ---------- [2, 14, 5] [2, 14] denominator=, [2, 14, 10] [7, 10, 9] [7, 9] ----------- = ------- [2, 14, 10] [2, 14] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [2, 16, 4] [15, 4, 3] [15, 3] ---------- = ------- [2, 16, 4] [2, 16] denominator=, [2, 16, 13] [6, 13, 12] [6, 12] ----------- = ------- [2, 16, 13] [2, 16] [1, 11, 13, 6] [1, 11, 6] -------------- = ---------- [2, 16, 13] [2, 16] denominator=, [2, 16, 16] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [3, 1, 10] [13, 10, 8] [13, 8] ----------- = ------- [3, 1, 10] [3, 1] [1, 16, 10, 4] [1, 16, 4] -------------- = ---------- [3, 1, 10] [3, 1] denominator=, [3, 1, 11] [12, 11, 9] [12, 9] ----------- = ------- [3, 1, 11] [3, 1] denominator=, [3, 2, 8] [16, 8, 6] [16, 6] ---------- = ------- [3, 2, 8] [3, 2] [2, 0, 8, 3] [2, 0, 3] ------------ = --------- [3, 2, 8] [3, 2] denominator=, [3, 2, 14] [10, 14, 12] [10, 12] ------------ = -------- [3, 2, 14] [3, 2] [1, 15, 14, 6] [1, 15, 6] -------------- = ---------- [3, 2, 14] [3, 2] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 6, 12] [17, 12, 9] [17, 9] ----------- = ------- [3, 6, 12] [3, 6] denominator=, [3, 6, 15] [14, 15, 12] [14, 12] ------------ = -------- [3, 6, 15] [3, 6] [2, 1, 15, 6] [2, 1, 6] ------------- = --------- [3, 6, 15] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 10, 16] [1, 0, 16, 12] [1, 0, 12] -------------- = ---------- [3, 10, 16] [3, 10] [2, 5, 16, 6] [2, 5, 6] ------------- = --------- [3, 10, 16] [3, 10] denominator=, [3, 11, 5] [1, 10, 5, 3] [1, 10, 3] ------------- = ---------- [3, 11, 5] [3, 11] denominator=, [3, 11, 13] [1, 4, 13, 9] [1, 4, 9] ------------- = --------- [3, 11, 13] [3, 11] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [3, 16, 7] [13, 7, 6] [13, 6] ---------- = ------- [3, 16, 7] [3, 16] [1, 14, 7, 4] [1, 14, 4] ------------- = ---------- [3, 16, 7] [3, 16] [2, 15, 7, 2] [2, 15, 2] ------------- = ---------- [3, 16, 7] [3, 16] denominator=, [3, 16, 10] [10, 10, 9] [10, 9] ----------- = ------- [3, 16, 10] [3, 16] [1, 12, 10, 6] [1, 12, 6] -------------- = ---------- [3, 16, 10] [3, 16] [2, 14, 10, 3] [2, 14, 3] -------------- = ---------- [3, 16, 10] [3, 16] denominator=, [3, 16, 14] [1, 9, 14, 9] [1, 9, 9] ------------- = --------- [3, 16, 14] [3, 16] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 3, 15] [1, 14, 15, 9] [1, 14, 9] -------------- = ---------- [4, 3, 15] [4, 3] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 5, 11] [17, 11, 9] [17, 9] ----------- = ------- [4, 5, 11] [4, 5] [2, 1, 11, 6] [2, 1, 6] ------------- = --------- [4, 5, 11] [4, 5] [3, 3, 11, 3] [3, 3, 3] ------------- = --------- [4, 5, 11] [4, 5] denominator=, [4, 5, 14] [14, 14, 12] [14, 12] ------------ = -------- [4, 5, 14] [4, 5] [1, 17, 14, 8] [1, 17, 8] -------------- = ---------- [4, 5, 14] [4, 5] [3, 2, 14, 4] [3, 2, 4] ------------- = --------- [4, 5, 14] [4, 5] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 8, 16] [2, 1, 16, 9] [2, 1, 9] ------------- = --------- [4, 8, 16] [4, 8] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 12, 3] [1, 13, 3, 2] [1, 13, 2] ------------- = ---------- [4, 12, 3] [4, 12] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [4, 15, 6] [1, 14, 6, 4] [1, 14, 4] ------------- = ---------- [4, 15, 6] [4, 15] denominator=, [4, 16, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] denominator=, [5, 0, 9] [14, 9, 8] [14, 8] ---------- = ------- [5, 0, 9] [5, 0] [1, 15, 9, 6] [1, 15, 6] ------------- = ---------- [5, 0, 9] [5, 0] [2, 16, 9, 4] [2, 16, 4] ------------- = ---------- [5, 0, 9] [5, 0] [3, 17, 9, 2] [3, 17, 2] ------------- = ---------- [5, 0, 9] [5, 0] denominator=, [5, 0, 10] [13, 10, 9] [13, 9] ----------- = ------- [5, 0, 10] [5, 0] denominator=, [5, 1, 7] [17, 7, 6] [17, 6] ---------- = ------- [5, 1, 7] [5, 1] [3, 0, 7, 3] [3, 0, 3] ------------ = --------- [5, 1, 7] [5, 1] denominator=, [5, 1, 13] [11, 13, 12] [11, 12] ------------ = -------- [5, 1, 13] [5, 1] [1, 13, 13, 9] [1, 13, 9] -------------- = ---------- [5, 1, 13] [5, 1] [2, 15, 13, 6] [2, 15, 6] -------------- = ---------- [5, 1, 13] [5, 1] [3, 17, 13, 3] [3, 17, 3] -------------- = ---------- [5, 1, 13] [5, 1] denominator=, [5, 3, 12] [1, 16, 12, 8] [1, 16, 8] -------------- = ---------- [5, 3, 12] [5, 3] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 6, 15] [1, 17, 15, 10] [1, 17, 10] --------------- = ----------- [5, 6, 15] [5, 6] denominator=, [5, 8, 14] [1, 0, 14, 12] [1, 0, 12] -------------- = ---------- [5, 8, 14] [5, 8] [2, 2, 14, 9] [2, 2, 9] ------------- = --------- [5, 8, 14] [5, 8] [3, 4, 14, 6] [3, 4, 6] ------------- = --------- [5, 8, 14] [5, 8] [4, 6, 14, 3] [4, 6, 3] ------------- = --------- [5, 8, 14] [5, 8] denominator=, [5, 9, 11] [1, 4, 11, 9] [1, 4, 9] ------------- = --------- [5, 9, 11] [5, 9] denominator=, [5, 10, 4] [1, 11, 4, 3] [1, 11, 3] ------------- = ---------- [5, 10, 4] [5, 10] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 14, 8] [1, 12, 8, 6] [1, 12, 6] ------------- = ---------- [5, 14, 8] [5, 14] [3, 13, 8, 3] [3, 13, 3] ------------- = ---------- [5, 14, 8] [5, 14] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [6, 0, 12] [1, 13, 12, 9] [1, 13, 9] -------------- = ---------- [6, 0, 12] [6, 0] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 2, 10] [16, 10, 9] [16, 9] ----------- = ------- [6, 2, 10] [6, 2] denominator=, [6, 2, 11] [15, 11, 10] [15, 10] ------------ = -------- [6, 2, 11] [6, 2] [1, 16, 11, 8] [1, 16, 8] -------------- = ---------- [6, 2, 11] [6, 2] [2, 17, 11, 6] [2, 17, 6] -------------- = ---------- [6, 2, 11] [6, 2] [4, 0, 11, 4] [4, 0, 4] ------------- = --------- [6, 2, 11] [6, 2] [5, 1, 11, 2] [5, 1, 2] ------------- = --------- [6, 2, 11] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 4, 7] [1, 3, 7, 6] [1, 3, 6] ------------ = --------- [6, 4, 7] [6, 4] denominator=, [6, 4, 16] [12, 16, 15] [12, 15] ------------ = -------- [6, 4, 16] [6, 4] [1, 14, 16, 12] [1, 14, 12] --------------- = ----------- [6, 4, 16] [6, 4] [2, 16, 16, 9] [2, 16, 9] -------------- = ---------- [6, 4, 16] [6, 4] [4, 0, 16, 6] [4, 0, 6] ------------- = --------- [6, 4, 16] [6, 4] [5, 2, 16, 3] [5, 2, 3] ------------- = --------- [6, 4, 16] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 9, 13] [2, 4, 13, 9] [2, 4, 9] ------------- = --------- [6, 9, 13] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 11, 14] [1, 4, 14, 12] [1, 4, 12] -------------- = ---------- [6, 11, 14] [6, 11] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 13, 11] [1, 9, 11, 9] [1, 9, 9] ------------- = --------- [6, 13, 11] [6, 13] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [6, 16, 4] [2, 0, 4, 3] [2, 0, 3] ------------ = --------- [6, 16, 4] [6, 16] denominator=, [6, 16, 16] [3, 11, 16, 8] [3, 11, 8] -------------- = ---------- [6, 16, 16] [6, 16] denominator=, [6, 17, 5] [3, 0, 5, 3] [3, 0, 3] ------------ = --------- [6, 17, 5] [6, 17] denominator=, [7, 0, 14] [2, 13, 14, 9] [2, 13, 9] -------------- = ---------- [7, 0, 14] [7, 0] denominator=, [7, 2, 8] [2, 1, 8, 6] [2, 1, 6] ------------ = --------- [7, 2, 8] [7, 2] denominator=, [7, 4, 10] [1, 1, 10, 9] [1, 1, 9] ------------- = --------- [7, 4, 10] [7, 4] [3, 2, 10, 6] [3, 2, 6] ------------- = --------- [7, 4, 10] [7, 4] [5, 3, 10, 3] [5, 3, 3] ------------- = --------- [7, 4, 10] [7, 4] denominator=, [7, 4, 13] [16, 13, 12] [16, 12] ------------ = -------- [7, 4, 13] [7, 4] [1, 17, 13, 10] [1, 17, 10] --------------- = ----------- [7, 4, 13] [7, 4] [3, 0, 13, 8] [3, 0, 8] ------------- = --------- [7, 4, 13] [7, 4] [4, 1, 13, 6] [4, 1, 6] ------------- = --------- [7, 4, 13] [7, 4] [5, 2, 13, 4] [5, 2, 4] ------------- = --------- [7, 4, 13] [7, 4] [6, 3, 13, 2] [6, 3, 2] ------------- = --------- [7, 4, 13] [7, 4] denominator=, [7, 6, 12] [2, 2, 12, 9] [2, 2, 9] ------------- = --------- [7, 6, 12] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 9, 15] [3, 4, 15, 9] [3, 4, 9] ------------- = --------- [7, 9, 15] [7, 9] denominator=, [7, 10, 16] [2, 3, 16, 12] [2, 3, 12] -------------- = ---------- [7, 10, 16] [7, 10] denominator=, [7, 12, 3] [2, 15, 3, 2] [2, 15, 2] ------------- = ---------- [7, 12, 3] [7, 12] denominator=, [7, 14, 5] [1, 16, 5, 4] [1, 16, 4] ------------- = ---------- [7, 14, 5] [7, 14] [4, 15, 5, 2] [4, 15, 2] ------------- = ---------- [7, 14, 5] [7, 14] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [7, 15, 6] [2, 16, 6, 4] [2, 16, 4] ------------- = ---------- [7, 15, 6] [7, 15] denominator=, [7, 17, 11] [1, 14, 11, 9] [1, 14, 9] -------------- = ---------- [7, 17, 11] [7, 17] [3, 15, 11, 6] [3, 15, 6] -------------- = ---------- [7, 17, 11] [7, 17] [5, 16, 11, 3] [5, 16, 3] -------------- = ---------- [7, 17, 11] [7, 17] denominator=, [7, 17, 13] [2, 13, 13, 9] [2, 13, 9] -------------- = ---------- [7, 17, 13] [7, 17] denominator=, [8, 0, 9] [2, 17, 9, 6] [2, 17, 6] ------------- = ---------- [8, 0, 9] [8, 0] denominator=, [8, 0, 16] [3, 13, 16, 9] [3, 13, 9] -------------- = ---------- [8, 0, 16] [8, 0] denominator=, [8, 1, 10] [1, 17, 10, 8] [1, 17, 8] -------------- = ---------- [8, 1, 10] [8, 1] [5, 0, 10, 4] [5, 0, 4] ------------- = --------- [8, 1, 10] [8, 1] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 3, 12] [3, 0, 12, 8] [3, 0, 8] ------------- = --------- [8, 3, 12] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 6, 10] [1, 4, 10, 9] [1, 4, 9] ------------- = --------- [8, 6, 10] [8, 6] denominator=, [8, 6, 15] [17, 15, 14] [17, 14] ------------ = -------- [8, 6, 15] [8, 6] [2, 0, 15, 12] [2, 0, 12] -------------- = ---------- [8, 6, 15] [8, 6] [3, 1, 15, 10] [3, 1, 10] -------------- = ---------- [8, 6, 15] [8, 6] [4, 2, 15, 8] [4, 2, 8] ------------- = --------- [8, 6, 15] [8, 6] [5, 3, 15, 6] [5, 3, 6] ------------- = --------- [8, 6, 15] [8, 6] [6, 4, 15, 4] [6, 4, 4] ------------- = --------- [8, 6, 15] [8, 6] [7, 5, 15, 2] [7, 5, 2] ------------- = --------- [8, 6, 15] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 7] [1, 11, 7, 6] [1, 11, 6] ------------- = ---------- [8, 10, 7] [8, 10] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 10, 14] [3, 6, 14, 9] [3, 6, 9] ------------- = --------- [8, 10, 14] [8, 10] denominator=, [8, 11, 5] [3, 13, 5, 3] [3, 13, 3] ------------- = ---------- [8, 11, 5] [8, 11] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 16, 10] [3, 15, 10, 6] [3, 15, 6] -------------- = ---------- [8, 16, 10] [8, 16] denominator=, [8, 16, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 12, 16, 8] [4, 12, 8] -------------- = ---------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] denominator=, [8, 17, 14] [1, 12, 14, 12] [1, 12, 12] --------------- = ----------- [8, 17, 14] [8, 17] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 3, 11] [2, 1, 11, 9] [2, 1, 9] ------------- = --------- [9, 3, 11] [9, 3] denominator=, [9, 3, 15] [3, 17, 15, 9] [3, 17, 9] -------------- = ---------- [9, 3, 15] [9, 3] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 7, 13] [1, 3, 13, 12] [1, 3, 12] -------------- = ---------- [9, 7, 13] [9, 7] [3, 4, 13, 9] [3, 4, 9] ------------- = --------- [9, 7, 13] [9, 7] [5, 5, 13, 6] [5, 5, 6] ------------- = --------- [9, 7, 13] [9, 7] [7, 6, 13, 3] [7, 6, 3] ------------- = --------- [9, 7, 13] [9, 7] denominator=, [9, 8, 10] [1, 7, 10, 9] [1, 7, 9] ------------- = --------- [9, 8, 10] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 10, 4] [2, 14, 4, 3] [2, 14, 3] ------------- = ---------- [9, 10, 4] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 13, 7] [1, 15, 7, 6] [1, 15, 6] ------------- = ---------- [9, 13, 7] [9, 13] [5, 14, 7, 3] [5, 14, 3] ------------- = ---------- [9, 13, 7] [9, 13] denominator=, [9, 14, 8] [2, 15, 8, 6] [2, 15, 6] ------------- = ---------- [9, 14, 8] [9, 14] denominator=, [9, 14, 11] [4, 13, 11, 6] [4, 13, 6] -------------- = ---------- [9, 14, 11] [9, 14] denominator=, [9, 14, 16] [4, 10, 16, 9] [4, 10, 9] -------------- = ---------- [9, 14, 16] [9, 14] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [10, 0, 12] [2, 16, 12, 9] [2, 16, 9] -------------- = ---------- [10, 0, 12] [10, 0] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 2, 14] [1, 16, 14, 12] [1, 16, 12] --------------- = ----------- [10, 2, 14] [10, 2] [3, 17, 14, 9] [3, 17, 9] -------------- = ---------- [10, 2, 14] [10, 2] [6, 0, 14, 6] [6, 0, 6] ------------- = --------- [10, 2, 14] [10, 2] [8, 1, 14, 3] [8, 1, 3] ------------- = --------- [10, 2, 14] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 4, 16] [2, 17, 16, 12] [2, 17, 12] --------------- = ----------- [10, 4, 16] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 7, 11] [2, 6, 11, 9] [2, 6, 9] ------------- = --------- [10, 7, 11] [10, 7] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 3] [3, 17, 3, 2] [3, 17, 2] ------------- = ---------- [10, 12, 3] [10, 12] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [10, 15, 6] [4, 0, 6, 4] [4, 0, 4] ------------ = --------- [10, 15, 6] [10, 15] denominator=, [10, 15, 13] [3, 13, 13, 9] [3, 13, 9] -------------- = ---------- [10, 15, 13] [10, 15] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 4] [3, 3, 4, 3] [3, 3, 3] ------------ = --------- [10, 16, 4] [10, 16] denominator=, [10, 16, 7] [2, 1, 7, 6] [2, 1, 6] ------------ = --------- [10, 16, 7] [10, 16] [5, 0, 7, 4] [5, 0, 4] ------------ = --------- [10, 16, 7] [10, 16] [7, 17, 7, 2] [7, 17, 2] ------------- = ---------- [10, 16, 7] [10, 16] denominator=, [10, 16, 16] [5, 13, 16, 8] [5, 13, 8] -------------- = ---------- [10, 16, 16] [10, 16] denominator=, [11, 0, 9] [4, 1, 9, 6] [4, 1, 6] ------------ = --------- [11, 0, 9] [11, 0] denominator=, [11, 2, 8] [3, 4, 8, 6] [3, 4, 6] ------------ = --------- [11, 2, 8] [11, 2] [7, 3, 8, 3] [7, 3, 3] ------------ = --------- [11, 2, 8] [11, 2] denominator=, [11, 3, 12] [4, 2, 12, 8] [4, 2, 8] ------------- = --------- [11, 3, 12] [11, 3] denominator=, [11, 5, 14] [2, 2, 14, 12] [2, 2, 12] -------------- = ---------- [11, 5, 14] [11, 5] [5, 3, 14, 8] [5, 3, 8] ------------- = --------- [11, 5, 14] [11, 5] [8, 4, 14, 4] [8, 4, 4] ------------- = --------- [11, 5, 14] [11, 5] denominator=, [11, 6, 12] [3, 5, 12, 9] [3, 5, 9] ------------- = --------- [11, 6, 12] [11, 6] denominator=, [11, 6, 15] [4, 3, 15, 10] [4, 3, 10] -------------- = ---------- [11, 6, 15] [11, 6] denominator=, [11, 10, 13] [1, 8, 13, 12] [1, 8, 12] -------------- = ---------- [11, 10, 13] [11, 10] [6, 9, 13, 6] [6, 9, 6] ------------- = --------- [11, 10, 13] [11, 10] denominator=, [11, 10, 16] [1, 5, 16, 15] [1, 5, 15] -------------- = ---------- [11, 10, 16] [11, 10] [3, 6, 16, 12] [3, 6, 12] -------------- = ---------- [11, 10, 16] [11, 10] [5, 7, 16, 9] [5, 7, 9] ------------- = --------- [11, 10, 16] [11, 10] [7, 8, 16, 6] [7, 8, 6] ------------- = --------- [11, 10, 16] [11, 10] [9, 9, 16, 3] [9, 9, 3] ------------- = --------- [11, 10, 16] [11, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 10] [1, 13, 10, 9] [1, 13, 9] -------------- = ---------- [11, 12, 10] [11, 12] denominator=, [11, 12, 14] [4, 10, 14, 9] [4, 10, 9] -------------- = ---------- [11, 12, 14] [11, 12] denominator=, [11, 17, 5] [5, 3, 5, 3] [5, 3, 3] ------------ = --------- [11, 17, 5] [11, 17] denominator=, [12, 1, 7] [2, 5, 7, 6] [2, 5, 6] ------------ = --------- [12, 1, 7] [12, 1] [7, 3, 7, 3] [7, 3, 3] ------------ = --------- [12, 1, 7] [12, 1] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 4, 10] [5, 5, 10, 6] [5, 5, 6] ------------- = --------- [12, 4, 10] [12, 4] denominator=, [12, 5, 13] [4, 4, 13, 9] [4, 4, 9] ------------- = --------- [12, 5, 13] [12, 5] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 8, 14] [2, 6, 14, 12] [2, 6, 12] -------------- = ---------- [12, 8, 14] [12, 8] [7, 7, 14, 6] [7, 7, 6] ------------- = --------- [12, 8, 14] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 9, 15] [5, 7, 15, 9] [5, 7, 9] ------------- = --------- [12, 9, 15] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 5] [3, 2, 5, 4] [3, 2, 4] ------------ = --------- [12, 14, 5] [12, 14] [7, 17, 5, 2] [7, 17, 2] ------------- = ---------- [12, 14, 5] [12, 14] denominator=, [12, 14, 10] [1, 16, 10, 9] [1, 16, 9] -------------- = ---------- [12, 14, 10] [12, 14] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [12, 15, 11] [2, 16, 11, 9] [2, 16, 9] -------------- = ---------- [12, 15, 11] [12, 15] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [6, 14, 16, 8] [6, 14, 8] -------------- = ---------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [13, 1, 10] [3, 3, 10, 8] [3, 3, 8] ------------- = --------- [13, 1, 10] [13, 1] [8, 2, 10, 4] [8, 2, 4] ------------- = --------- [13, 1, 10] [13, 1] denominator=, [13, 4, 7] [2, 9, 7, 6] [2, 9, 6] ------------ = --------- [13, 4, 7] [13, 4] denominator=, [13, 4, 14] [5, 3, 14, 9] [5, 3, 9] ------------- = --------- [13, 4, 14] [13, 4] denominator=, [13, 6, 15] [3, 4, 15, 12] [3, 4, 12] -------------- = ---------- [13, 6, 15] [13, 6] [8, 5, 15, 6] [8, 5, 6] ------------- = --------- [13, 6, 15] [13, 6] denominator=, [13, 6, 16] [6, 4, 16, 9] [6, 4, 9] ------------- = --------- [13, 6, 16] [13, 6] denominator=, [13, 8, 11] [6, 9, 11, 6] [6, 9, 6] ------------- = --------- [13, 8, 11] [13, 8] denominator=, [13, 10, 4] [3, 17, 4, 3] [3, 17, 3] ------------- = ---------- [13, 10, 4] [13, 10] denominator=, [13, 11, 5] [5, 16, 5, 3] [5, 16, 3] ------------- = ---------- [13, 11, 5] [13, 11] denominator=, [13, 11, 14] [2, 10, 14, 12] [2, 10, 12] --------------- = ----------- [13, 11, 14] [13, 11] denominator=, [13, 12, 3] [5, 1, 3, 2] [5, 1, 2] ------------ = --------- [13, 12, 3] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 8] [4, 0, 8, 6] [4, 0, 6] ------------ = --------- [13, 14, 8] [13, 14] [8, 16, 8, 3] [8, 16, 3] ------------- = ---------- [13, 14, 8] [13, 14] denominator=, [13, 15, 6] [5, 2, 6, 4] [5, 2, 4] ------------ = --------- [13, 15, 6] [13, 15] denominator=, [13, 16, 10] [2, 1, 10, 9] [2, 1, 9] ------------- = --------- [13, 16, 10] [13, 16] [6, 0, 10, 6] [6, 0, 6] ------------- = --------- [13, 16, 10] [13, 16] [9, 17, 10, 3] [9, 17, 3] -------------- = ---------- [13, 16, 10] [13, 16] denominator=, [14, 0, 9] [2, 4, 9, 8] [2, 4, 8] ------------ = --------- [14, 0, 9] [14, 0] [5, 3, 9, 6] [5, 3, 6] ------------ = --------- [14, 0, 9] [14, 0] [8, 2, 9, 4] [8, 2, 4] ------------ = --------- [14, 0, 9] [14, 0] [11, 1, 9, 2] [11, 1, 2] ------------- = ---------- [14, 0, 9] [14, 0] denominator=, [14, 0, 12] [4, 1, 12, 9] [4, 1, 9] ------------- = --------- [14, 0, 12] [14, 0] denominator=, [14, 1, 11] [3, 3, 11, 9] [3, 3, 9] ------------- = --------- [14, 1, 11] [14, 1] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 3, 12] [5, 4, 12, 8] [5, 4, 8] ------------- = --------- [14, 3, 12] [14, 3] denominator=, [14, 3, 15] [6, 2, 15, 9] [6, 2, 9] ------------- = --------- [14, 3, 15] [14, 3] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 4, 16] [4, 2, 16, 12] [4, 2, 12] -------------- = ---------- [14, 4, 16] [14, 4] [9, 3, 16, 6] [9, 3, 6] ------------- = --------- [14, 4, 16] [14, 4] denominator=, [14, 6, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 6, 15] [5, 5, 15, 10] [5, 5, 10] -------------- = ---------- [14, 6, 15] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 10, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 12, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 4] [4, 6, 4, 3] [4, 6, 3] ------------ = --------- [14, 16, 4] [14, 16] denominator=, [14, 16, 16] [7, 15, 16, 8] [7, 15, 8] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [15, 0, 10] [2, 4, 10, 9] [2, 4, 9] ------------- = --------- [15, 0, 10] [15, 0] denominator=, [15, 2, 8] [4, 7, 8, 6] [4, 7, 6] ------------ = --------- [15, 2, 8] [15, 2] denominator=, [15, 2, 16] [7, 1, 16, 9] [7, 1, 9] ------------- = --------- [15, 2, 16] [15, 2] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 3, 13] [5, 4, 13, 9] [5, 4, 9] ------------- = --------- [15, 3, 13] [15, 3] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 5, 11] [3, 8, 11, 9] [3, 8, 9] ------------- = --------- [15, 5, 11] [15, 5] [7, 7, 11, 6] [7, 7, 6] ------------- = --------- [15, 5, 11] [15, 5] [11, 6, 11, 3] [11, 6, 3] -------------- = ---------- [15, 5, 11] [15, 5] denominator=, [15, 6, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] denominator=, [15, 6, 12] [4, 8, 12, 9] [4, 8, 9] ------------- = --------- [15, 6, 12] [15, 6] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 7] [2, 17, 7, 6] [2, 17, 6] ------------- = ---------- [15, 10, 7] [15, 10] denominator=, [15, 10, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] denominator=, [15, 10, 16] [4, 9, 16, 12] [4, 9, 12] -------------- = ---------- [15, 10, 16] [15, 10] denominator=, [15, 12, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 16, 13] [2, 0, 13, 12] [2, 0, 12] -------------- = ---------- [15, 16, 13] [15, 16] [8, 17, 13, 6] [8, 17, 6] -------------- = ---------- [15, 16, 13] [15, 16] denominator=, [15, 17, 14] [3, 0, 14, 12] [3, 0, 12] -------------- = ---------- [15, 17, 14] [15, 17] denominator=, [16, 2, 2] [8, 9, 2, 1] [8, 9, 1] ------------ = --------- [16, 2, 2] [16, 2] denominator=, [16, 2, 10] [2, 7, 10, 9] [2, 7, 9] ------------- = --------- [16, 2, 10] [16, 2] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [8, 10, 4, 2] [8, 10, 2] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 6, 6] [8, 11, 6, 3] [8, 11, 3] ------------- = ---------- [16, 6, 6] [16, 6] denominator=, [16, 6, 14] [6, 7, 14, 9] [6, 7, 9] ------------- = --------- [16, 6, 14] [16, 6] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [8, 12, 8, 4] [8, 12, 4] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 9, 11] [3, 13, 11, 9] [3, 13, 9] -------------- = ---------- [16, 9, 11] [16, 9] denominator=, [16, 10, 10] [8, 13, 10, 5] [8, 13, 5] -------------- = ---------- [16, 10, 10] [16, 10] denominator=, [16, 11, 13] [5, 13, 13, 9] [5, 13, 9] -------------- = ---------- [16, 11, 13] [16, 11] denominator=, [16, 12, 3] [6, 3, 3, 2] [6, 3, 2] ------------ = --------- [16, 12, 3] [16, 12] denominator=, [16, 12, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [8, 14, 12, 6] [8, 14, 6] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] denominator=, [16, 13, 7] [3, 3, 7, 6] [3, 3, 6] ------------ = --------- [16, 13, 7] [16, 13] [9, 17, 7, 3] [9, 17, 3] ------------- = ---------- [16, 13, 7] [16, 13] denominator=, [16, 14, 14] [8, 15, 14, 7] [8, 15, 7] -------------- = ---------- [16, 14, 14] [16, 14] denominator=, [16, 15, 6] [6, 4, 6, 4] [6, 4, 4] ------------ = --------- [16, 15, 6] [16, 15] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [16, 17, 5] [7, 6, 5, 3] [7, 6, 3] ------------ = --------- [16, 17, 5] [16, 17] denominator=, [17, 0, 9] [6, 5, 9, 6] [6, 5, 6] ------------ = --------- [17, 0, 9] [17, 0] denominator=, [17, 2, 11] [2, 7, 11, 10] [2, 7, 10] -------------- = ---------- [17, 2, 11] [17, 2] [5, 6, 11, 8] [5, 6, 8] ------------- = --------- [17, 2, 11] [17, 2] [8, 5, 11, 6] [8, 5, 6] ------------- = --------- [17, 2, 11] [17, 2] [11, 4, 11, 4] [11, 4, 4] -------------- = ---------- [17, 2, 11] [17, 2] [14, 3, 11, 2] [14, 3, 2] -------------- = ---------- [17, 2, 11] [17, 2] denominator=, [17, 2, 14] [3, 4, 14, 12] [3, 4, 12] -------------- = ---------- [17, 2, 14] [17, 2] [10, 3, 14, 6] [10, 3, 6] -------------- = ---------- [17, 2, 14] [17, 2] denominator=, [17, 3, 12] [6, 6, 12, 8] [6, 6, 8] ------------- = --------- [17, 3, 12] [17, 3] denominator=, [17, 4, 10] [2, 10, 10, 9] [2, 10, 9] -------------- = ---------- [17, 4, 10] [17, 4] [7, 8, 10, 6] [7, 8, 6] ------------- = --------- [17, 4, 10] [17, 4] [12, 6, 10, 3] [12, 6, 3] -------------- = ---------- [17, 4, 10] [17, 4] denominator=, [17, 6, 15] [6, 7, 15, 10] [6, 7, 10] -------------- = ---------- [17, 6, 15] [17, 6] denominator=, [17, 9, 15] [7, 10, 15, 9] [7, 10, 9] -------------- = ---------- [17, 9, 15] [17, 9] denominator=, [17, 10, 4] [5, 2, 4, 3] [5, 2, 3] ------------ = --------- [17, 10, 4] [17, 10] denominator=, [17, 13, 11] [4, 0, 11, 9] [4, 0, 9] ------------- = --------- [17, 13, 11] [17, 13] denominator=, [17, 14, 5] [4, 6, 5, 4] [4, 6, 4] ------------ = --------- [17, 14, 5] [17, 14] [11, 1, 5, 2] [11, 1, 2] ------------- = ---------- [17, 14, 5] [17, 14] denominator=, [17, 14, 8] [5, 3, 8, 6] [5, 3, 6] ------------ = --------- [17, 14, 8] [17, 14] denominator=, [17, 16, 7] [3, 7, 7, 6] [3, 7, 6] ------------ = --------- [17, 16, 7] [17, 16] [8, 4, 7, 4] [8, 4, 4] ------------ = --------- [17, 16, 7] [17, 16] [13, 1, 7, 2] [13, 1, 2] ------------- = ---------- [17, 16, 7] [17, 16] denominator=, [17, 16, 14] [7, 0, 14, 9] [7, 0, 9] ------------- = --------- [17, 16, 14] [17, 16] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 6] [5, 6, 4, 9] [5, 4, 9] ------------ = --------- [1, 0, 6] [1, 0] denominator=, [1, 3, 7] [8, 7, 4, 9] [8, 4, 9] ------------ = --------- [1, 3, 7] [1, 3] denominator=, [1, 4, 10] [6, 10, 7, 9] [6, 7, 9] ------------- = --------- [1, 4, 10] [1, 4] denominator=, [1, 6, 8] [11, 8, 4, 9] [11, 4, 9] ------------- = ---------- [1, 6, 8] [1, 6] denominator=, [1, 7, 15] [3, 15, 13, 9] [3, 13, 9] -------------- = ---------- [1, 7, 15] [1, 7] denominator=, [1, 8, 14] [7, 14, 10, 9] [7, 10, 9] -------------- = ---------- [1, 8, 14] [1, 8] denominator=, [1, 10, 4] [8, 4, 3, 0] [8, 3, 0] ------------ = --------- [1, 10, 4] [1, 10] [1, 0, 4, 1, 9] [1, 0, 1, 9] --------------- = ------------ [1, 10, 4] [1, 10] denominator=, [1, 10, 7] [5, 7, 6, 0] [5, 6, 0] ------------ = --------- [1, 10, 7] [1, 10] denominator=, [1, 12, 10] [4, 10, 9, 0] [4, 9, 0] ------------- = --------- [1, 12, 10] [1, 12] [17, 10, 4, 9] [17, 4, 9] -------------- = ---------- [1, 12, 10] [1, 12] denominator=, [1, 14, 8] [9, 8, 6, 0] [9, 6, 0] ------------ = --------- [1, 14, 8] [1, 14] denominator=, [1, 15, 11] [7, 11, 9, 0] [7, 9, 0] ------------- = --------- [1, 15, 11] [1, 15] [1, 2, 11, 4, 9] [1, 2, 4, 9] ---------------- = ------------ [1, 15, 11] [1, 15] denominator=, [1, 17, 5] [5, 5, 4, 9] [5, 4, 9] ------------ = --------- [1, 17, 5] [1, 17] [15, 5, 3, 0] [15, 3, 0] ------------- = ---------- [1, 17, 5] [1, 17] [1, 7, 5, 1, 9] [1, 7, 1, 9] --------------- = ------------ [1, 17, 5] [1, 17] denominator=, [1, 17, 14] [6, 14, 12, 0] [6, 12, 0] -------------- = ---------- [1, 17, 14] [1, 17] denominator=, [2, 0, 12] [10, 12, 9, 0] [10, 9, 0] -------------- = ---------- [2, 0, 12] [2, 0] [1, 5, 12, 4, 9] [1, 5, 4, 9] ---------------- = ------------ [2, 0, 12] [2, 0] denominator=, [2, 3, 13] [13, 13, 9] [13, 9] ----------- = ------- [2, 3, 13] [2, 3] [13, 13, 9, 0] [13, 9, 0] -------------- = ---------- [2, 3, 13] [2, 3] [1, 8, 13, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [2, 3, 13] [2, 3] denominator=, [2, 4, 10] [17, 10, 6, 0] [17, 6, 0] -------------- = ---------- [2, 4, 10] [2, 4] denominator=, [2, 4, 16] [11, 16, 12, 0] [11, 12, 0] --------------- = ----------- [2, 4, 16] [2, 4] denominator=, [2, 6, 6] [12, 6, 4, 9] [12, 4, 9] ------------- = ---------- [2, 6, 6] [2, 6] [1, 14, 6, 1, 9] [1, 14, 1, 9] ---------------- = ------------- [2, 6, 6] [2, 6] denominator=, [2, 6, 14] [3, 14, 13, 9] [3, 13, 9] -------------- = ---------- [2, 6, 14] [2, 6] [16, 14, 9, 0] [16, 9, 0] -------------- = ---------- [2, 6, 14] [2, 6] [1, 11, 14, 4, 9] [1, 11, 4, 9] ----------------- = ------------- [2, 6, 14] [2, 6] denominator=, [2, 6, 15] [15, 15, 10] [15, 10] ------------ = -------- [2, 6, 15] [2, 6] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [2, 6, 15] [2, 6] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [2, 6, 15] [2, 6] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [2, 6, 15] [2, 6] [1, 0, 15, 8, 16] [1, 0, 8, 16] ----------------- = ------------- [2, 6, 15] [2, 6] [1, 3, 15, 7, 14] [1, 3, 7, 14] ----------------- = ------------- [2, 6, 15] [2, 6] [1, 9, 15, 5, 10] [1, 9, 5, 10] ----------------- = ------------- [2, 6, 15] [2, 6] [1, 12, 15, 4, 8] [1, 12, 4, 8] ----------------- = ------------- [2, 6, 15] [2, 6] [2, 0, 15, 2, 4] [2, 0, 2, 4] ---------------- = ------------ [2, 6, 15] [2, 6] [2, 3, 15, 1, 2] [2, 3, 1, 2] ---------------- = ------------ [2, 6, 15] [2, 6] denominator=, [2, 8, 11] [1, 3, 11, 6, 0] [1, 3, 6, 0] ---------------- = ------------ [2, 8, 11] [2, 8] denominator=, [2, 9, 15] [6, 15, 13, 9] [6, 13, 9] -------------- = ---------- [2, 9, 15] [2, 9] [1, 1, 15, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [2, 9, 15] [2, 9] [1, 14, 15, 4, 9] [1, 14, 4, 9] ----------------- = ------------- [2, 9, 15] [2, 9] denominator=, [2, 10, 10] [13, 10, 7, 9] [13, 7, 9] -------------- = ---------- [2, 10, 10] [2, 10] [1, 17, 10, 2, 9] [1, 17, 2, 9] ----------------- = ------------- [2, 10, 10] [2, 10] denominator=, [2, 12, 16] [9, 16, 13, 9] [9, 13, 9] -------------- = ---------- [2, 12, 16] [2, 12] [1, 4, 16, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [2, 12, 16] [2, 12] [1, 17, 16, 4, 9] [1, 17, 4, 9] ----------------- = ------------- [2, 12, 16] [2, 12] denominator=, [2, 13, 7] [9, 7, 6, 0] [9, 6, 0] ------------ = --------- [2, 13, 7] [2, 13] [1, 1, 7, 4, 9] [1, 1, 4, 9] --------------- = ------------ [2, 13, 7] [2, 13] [1, 11, 7, 3, 0] [1, 11, 3, 0] ---------------- = ------------- [2, 13, 7] [2, 13] [2, 3, 7, 1, 9] [2, 3, 1, 9] --------------- = ------------ [2, 13, 7] [2, 13] denominator=, [2, 14, 5] [12, 5, 4, 0] [12, 4, 0] ------------- = ---------- [2, 14, 5] [2, 14] [1, 13, 5, 2, 0] [1, 13, 2, 0] ---------------- = ------------- [2, 14, 5] [2, 14] denominator=, [2, 14, 10] [7, 10, 9, 0] [7, 9, 0] ------------- = --------- [2, 14, 10] [2, 14] denominator=, [2, 14, 14] [6, 14, 12, 15] [6, 12, 15] --------------- = ----------- [2, 14, 14] [2, 14] [14, 14, 10, 9] [14, 10, 9] --------------- = ----------- [2, 14, 14] [2, 14] [1, 4, 14, 8, 3] [1, 4, 8, 3] ---------------- = ------------ [2, 14, 14] [2, 14] [1, 12, 14, 5, 15] [1, 12, 5, 15] ------------------ = -------------- [2, 14, 14] [2, 14] [2, 2, 14, 3, 9] [2, 2, 3, 9] ---------------- = ------------ [2, 14, 14] [2, 14] [2, 10, 14, 1, 3] [2, 10, 1, 3] ----------------- = ------------- [2, 14, 14] [2, 14] denominator=, [2, 16, 4] [15, 4, 3, 0] [15, 3, 0] ------------- = ---------- [2, 16, 4] [2, 16] denominator=, [2, 16, 13] [6, 13, 12, 0] [6, 12, 0] -------------- = ---------- [2, 16, 13] [2, 16] [1, 11, 13, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [2, 16, 13] [2, 16] denominator=, [3, 1, 5] [8, 5, 4, 9] [8, 4, 9] ------------ = --------- [3, 1, 5] [3, 1] denominator=, [3, 1, 10] [6, 10, 9, 6] [6, 9, 6] ------------- = --------- [3, 1, 10] [3, 1] [13, 10, 8, 0] [13, 8, 0] -------------- = ---------- [3, 1, 10] [3, 1] [1, 9, 10, 5, 6] [1, 9, 5, 6] ---------------- = ------------ [3, 1, 10] [3, 1] [1, 16, 10, 4, 0] [1, 16, 4, 0] ----------------- = ------------- [3, 1, 10] [3, 1] [2, 5, 10, 2, 12] [2, 5, 2, 12] ----------------- = ------------- [3, 1, 10] [3, 1] [2, 12, 10, 1, 6] [2, 12, 1, 6] ----------------- = ------------- [3, 1, 10] [3, 1] denominator=, [3, 1, 11] [12, 11, 9, 0] [12, 9, 0] -------------- = ---------- [3, 1, 11] [3, 1] denominator=, [3, 2, 8] [6, 8, 7, 9] [6, 7, 9] ------------ = --------- [3, 2, 8] [3, 2] [16, 8, 6, 0] [16, 6, 0] ------------- = ---------- [3, 2, 8] [3, 2] [1, 8, 8, 4, 9] [1, 8, 4, 9] --------------- = ------------ [3, 2, 8] [3, 2] [2, 0, 8, 3, 0] [2, 0, 3, 0] --------------- = ------------ [3, 2, 8] [3, 2] [2, 10, 8, 1, 9] [2, 10, 1, 9] ---------------- = ------------- [3, 2, 8] [3, 2] denominator=, [3, 2, 14] [10, 14, 12, 0] [10, 12, 0] --------------- = ----------- [3, 2, 14] [3, 2] [1, 15, 14, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [3, 2, 14] [3, 2] denominator=, [3, 6, 12] [17, 12, 9, 0] [17, 9, 0] -------------- = ---------- [3, 6, 12] [3, 6] denominator=, [3, 6, 15] [14, 15, 12, 0] [14, 12, 0] --------------- = ----------- [3, 6, 15] [3, 6] [2, 1, 15, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [3, 6, 15] [3, 6] denominator=, [3, 8, 2] [1, 0, 2, 1, 9] [1, 0, 1, 9] --------------- = ------------ [3, 8, 2] [3, 8] denominator=, [3, 10, 16] [1, 0, 16, 12, 0] [1, 0, 12, 0] ----------------- = ------------- [3, 10, 16] [3, 10] [2, 5, 16, 6, 0] [2, 5, 6, 0] ---------------- = ------------ [3, 10, 16] [3, 10] denominator=, [3, 11, 5] [1, 10, 5, 3, 0] [1, 10, 3, 0] ---------------- = ------------- [3, 11, 5] [3, 11] denominator=, [3, 11, 13] [1, 4, 13, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [3, 11, 13] [3, 11] denominator=, [3, 11, 15] [9, 15, 13, 9] [9, 13, 9] -------------- = ---------- [3, 11, 15] [3, 11] denominator=, [3, 12, 6] [1, 1, 6, 4, 9] [1, 1, 4, 9] --------------- = ------------ [3, 12, 6] [3, 12] denominator=, [3, 16, 7] [13, 7, 6, 0] [13, 6, 0] ------------- = ---------- [3, 16, 7] [3, 16] [1, 14, 7, 4, 0] [1, 14, 4, 0] ---------------- = ------------- [3, 16, 7] [3, 16] [2, 15, 7, 2, 0] [2, 15, 2, 0] ---------------- = ------------- [3, 16, 7] [3, 16] denominator=, [3, 16, 10] [10, 10, 9] [10, 9] ----------- = ------- [3, 16, 10] [3, 16] [10, 10, 9, 0] [10, 9, 0] -------------- = ---------- [3, 16, 10] [3, 16] [1, 2, 10, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [3, 16, 10] [3, 16] [1, 12, 10, 6, 0] [1, 12, 6, 0] ----------------- = ------------- [3, 16, 10] [3, 16] [2, 4, 10, 4, 9] [2, 4, 4, 9] ---------------- = ------------ [3, 16, 10] [3, 16] [2, 14, 10, 3, 0] [2, 14, 3, 0] ----------------- = ------------- [3, 16, 10] [3, 16] [3, 6, 10, 1, 9] [3, 6, 1, 9] ---------------- = ------------ [3, 16, 10] [3, 16] denominator=, [3, 16, 14] [1, 9, 14, 9, 0] [1, 9, 9, 0] ---------------- = ------------ [3, 16, 14] [3, 16] denominator=, [4, 2, 14] [1, 3, 14, 10, 9] [1, 3, 10, 9] ----------------- = ------------- [4, 2, 14] [4, 2] denominator=, [4, 3, 5] [11, 5, 4, 9] [11, 4, 9] ------------- = ---------- [4, 3, 5] [4, 3] denominator=, [4, 3, 15] [1, 14, 15, 9, 0] [1, 14, 9, 0] ----------------- = ------------- [4, 3, 15] [4, 3] denominator=, [4, 5, 7] [1, 12, 7, 4, 9] [1, 12, 4, 9] ---------------- = ------------- [4, 5, 7] [4, 5] denominator=, [4, 5, 11] [7, 11, 10, 9] [7, 10, 9] -------------- = ---------- [4, 5, 11] [4, 5] [17, 11, 9, 0] [17, 9, 0] -------------- = ---------- [4, 5, 11] [4, 5] [1, 9, 11, 7, 9] [1, 9, 7, 9] ---------------- = ------------ [4, 5, 11] [4, 5] [2, 1, 11, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [4, 5, 11] [4, 5] [2, 11, 11, 4, 9] [2, 11, 4, 9] ----------------- = ------------- [4, 5, 11] [4, 5] [3, 3, 11, 3, 0] [3, 3, 3, 0] ---------------- = ------------ [4, 5, 11] [4, 5] [3, 13, 11, 1, 9] [3, 13, 1, 9] ----------------- = ------------- [4, 5, 11] [4, 5] denominator=, [4, 5, 14] [14, 14, 12] [14, 12] ------------ = -------- [4, 5, 14] [4, 5] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [4, 5, 14] [4, 5] [14, 14, 12, 0] [14, 12, 0] --------------- = ----------- [4, 5, 14] [4, 5] [1, 3, 14, 10, 12] [1, 3, 10, 12] ------------------ = -------------- [4, 5, 14] [4, 5] [1, 17, 14, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [4, 5, 14] [4, 5] [2, 6, 14, 6, 12] [2, 6, 6, 12] ----------------- = ------------- [4, 5, 14] [4, 5] [2, 13, 14, 5, 6] [2, 13, 5, 6] ----------------- = ------------- [4, 5, 14] [4, 5] [3, 2, 14, 4, 0] [3, 2, 4, 0] ---------------- = ------------ [4, 5, 14] [4, 5] [3, 9, 14, 2, 12] [3, 9, 2, 12] ----------------- = ------------- [4, 5, 14] [4, 5] [3, 16, 14, 1, 6] [3, 16, 1, 6] ----------------- = ------------- [4, 5, 14] [4, 5] denominator=, [4, 8, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 8, 16] [2, 1, 16, 9, 0] [2, 1, 9, 0] ---------------- = ------------ [4, 8, 16] [4, 8] denominator=, [4, 12, 12] [14, 12, 10, 9] [14, 10, 9] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [1, 16, 12, 7, 9] [1, 16, 7, 9] ----------------- = ------------- [4, 12, 12] [4, 12] [3, 0, 12, 4, 9] [3, 0, 4, 9] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 2, 12, 1, 9] [4, 2, 1, 9] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 13, 15] [12, 15, 13, 9] [12, 13, 9] --------------- = ----------- [4, 13, 15] [4, 13] denominator=, [4, 14, 2] [1, 7, 2, 1, 9] [1, 7, 1, 9] --------------- = ------------ [4, 14, 2] [4, 14] denominator=, [4, 16, 8] [2, 5, 8, 4, 9] [2, 5, 4, 9] --------------- = ------------ [4, 16, 8] [4, 16] denominator=, [4, 16, 16] [11, 16, 14, 12] [11, 14, 12] ---------------- = ------------ [4, 16, 16] [4, 16] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [2, 3, 16, 9, 6] [2, 3, 9, 6] ---------------- = ------------ [4, 16, 16] [4, 16] [2, 17, 16, 6, 12] [2, 17, 6, 12] ------------------ = -------------- [4, 16, 16] [4, 16] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [4, 9, 16, 1, 6] [4, 9, 1, 6] ---------------- = ------------ [4, 16, 16] [4, 16] denominator=, [5, 0, 6] [1, 8, 6, 4, 9] [1, 8, 4, 9] --------------- = ------------ [5, 0, 6] [5, 0] denominator=, [5, 0, 10] [13, 10, 9, 0] [13, 9, 0] -------------- = ---------- [5, 0, 10] [5, 0] denominator=, [5, 1, 7] [17, 7, 6, 0] [17, 6, 0] ------------- = ---------- [5, 1, 7] [5, 1] [3, 0, 7, 3, 0] [3, 0, 3, 0] --------------- = ------------ [5, 1, 7] [5, 1] denominator=, [5, 1, 13] [1, 13, 13, 9] [1, 13, 9] -------------- = ---------- [5, 1, 13] [5, 1] [11, 13, 12, 0] [11, 12, 0] --------------- = ----------- [5, 1, 13] [5, 1] [1, 3, 13, 10, 9] [1, 3, 10, 9] ----------------- = ------------- [5, 1, 13] [5, 1] [1, 13, 13, 9, 0] [1, 13, 9, 0] ----------------- = ------------- [5, 1, 13] [5, 1] [2, 5, 13, 7, 9] [2, 5, 7, 9] ---------------- = ------------ [5, 1, 13] [5, 1] [2, 15, 13, 6, 0] [2, 15, 6, 0] ----------------- = ------------- [5, 1, 13] [5, 1] [3, 7, 13, 4, 9] [3, 7, 4, 9] ---------------- = ------------ [5, 1, 13] [5, 1] [3, 17, 13, 3, 0] [3, 17, 3, 0] ----------------- = ------------- [5, 1, 13] [5, 1] [4, 9, 13, 1, 9] [4, 9, 1, 9] ---------------- = ------------ [5, 1, 13] [5, 1] denominator=, [5, 4, 10] [1, 9, 10, 7, 9] [1, 9, 7, 9] ---------------- = ------------ [5, 4, 10] [5, 4] denominator=, [5, 8, 14] [8, 14, 13, 9] [8, 13, 9] -------------- = ---------- [5, 8, 14] [5, 8] [1, 0, 14, 12, 0] [1, 0, 12, 0] ----------------- = ------------- [5, 8, 14] [5, 8] [1, 10, 14, 10, 9] [1, 10, 10, 9] ------------------ = -------------- [5, 8, 14] [5, 8] [2, 2, 14, 9, 0] [2, 2, 9, 0] ---------------- = ------------ [5, 8, 14] [5, 8] [2, 12, 14, 7, 9] [2, 12, 7, 9] ----------------- = ------------- [5, 8, 14] [5, 8] [3, 4, 14, 6, 0] [3, 4, 6, 0] ---------------- = ------------ [5, 8, 14] [5, 8] [3, 14, 14, 4, 9] [3, 14, 4, 9] ----------------- = ------------- [5, 8, 14] [5, 8] [4, 6, 14, 3, 0] [4, 6, 3, 0] ---------------- = ------------ [5, 8, 14] [5, 8] [4, 16, 14, 1, 9] [4, 16, 1, 9] ----------------- = ------------- [5, 8, 14] [5, 8] denominator=, [5, 9, 11] [1, 4, 11, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [5, 9, 11] [5, 9] denominator=, [5, 10, 4] [1, 11, 4, 3, 0] [1, 11, 3, 0] ---------------- = ------------- [5, 10, 4] [5, 10] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 14, 8] [1, 12, 8, 6, 0] [1, 12, 6, 0] ---------------- = ------------- [5, 14, 8] [5, 14] [3, 13, 8, 3, 0] [3, 13, 3, 0] ---------------- = ------------- [5, 14, 8] [5, 14] denominator=, [5, 15, 7] [2, 5, 7, 4, 9] [2, 5, 4, 9] --------------- = ------------ [5, 15, 7] [5, 15] denominator=, [5, 15, 15] [15, 15, 13, 9] [15, 13, 9] --------------- = ----------- [5, 15, 15] [5, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 17, 15, 10, 9] [1, 17, 10, 9] ------------------ = -------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 3, 15, 4, 9] [4, 3, 4, 9] ---------------- = ------------ [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [5, 5, 15, 1, 9] [5, 5, 1, 9] ---------------- = ------------ [5, 15, 15] [5, 15] denominator=, [6, 0, 12] [1, 13, 12, 9, 0] [1, 13, 9, 0] ----------------- = ------------- [6, 0, 12] [6, 0] denominator=, [6, 2, 2] [1, 14, 2, 1, 9] [1, 14, 1, 9] ---------------- = ------------- [6, 2, 2] [6, 2] [4, 12, 2, 0, 9] [4, 12, 0, 9] ---------------- = ------------- [6, 2, 2] [6, 2] denominator=, [6, 2, 10] [16, 10, 9, 0] [16, 9, 0] -------------- = ---------- [6, 2, 10] [6, 2] [3, 9, 10, 4, 9] [3, 9, 4, 9] ---------------- = ------------ [6, 2, 10] [6, 2] denominator=, [6, 2, 11] [15, 11, 10, 0] [15, 10, 0] --------------- = ----------- [6, 2, 11] [6, 2] [1, 16, 11, 8, 0] [1, 16, 8, 0] ----------------- = ------------- [6, 2, 11] [6, 2] [2, 17, 11, 6, 0] [2, 17, 6, 0] ----------------- = ------------- [6, 2, 11] [6, 2] [4, 0, 11, 4, 0] [4, 0, 4, 0] ---------------- = ------------ [6, 2, 11] [6, 2] [5, 1, 11, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [6, 2, 11] [6, 2] denominator=, [6, 4, 7] [1, 3, 7, 6, 0] [1, 3, 6, 0] --------------- = ------------ [6, 4, 7] [6, 4] denominator=, [6, 4, 16] [2, 16, 16, 9] [2, 16, 9] -------------- = ---------- [6, 4, 16] [6, 4] [12, 16, 15, 0] [12, 15, 0] --------------- = ----------- [6, 4, 16] [6, 4] [1, 4, 16, 13, 9] [1, 4, 13, 9] ----------------- = ------------- [6, 4, 16] [6, 4] [1, 14, 16, 12, 0] [1, 14, 12, 0] ------------------ = -------------- [6, 4, 16] [6, 4] [2, 6, 16, 10, 9] [2, 6, 10, 9] ----------------- = ------------- [6, 4, 16] [6, 4] [2, 16, 16, 9, 0] [2, 16, 9, 0] ----------------- = ------------- [6, 4, 16] [6, 4] [3, 8, 16, 7, 9] [3, 8, 7, 9] ---------------- = ------------ [6, 4, 16] [6, 4] [4, 0, 16, 6, 0] [4, 0, 6, 0] ---------------- = ------------ [6, 4, 16] [6, 4] [4, 10, 16, 4, 9] [4, 10, 4, 9] ----------------- = ------------- [6, 4, 16] [6, 4] [5, 2, 16, 3, 0] [5, 2, 3, 0] ---------------- = ------------ [6, 4, 16] [6, 4] [5, 12, 16, 1, 9] [5, 12, 1, 9] ----------------- = ------------- [6, 4, 16] [6, 4] denominator=, [6, 7, 5] [17, 5, 4, 9] [17, 4, 9] ------------- = ---------- [6, 7, 5] [6, 7] denominator=, [6, 9, 13] [2, 4, 13, 9, 0] [2, 4, 9, 0] ---------------- = ------------ [6, 9, 13] [6, 9] denominator=, [6, 10, 10] [1, 16, 10, 7, 9] [1, 16, 7, 9] ----------------- = ------------- [6, 10, 10] [6, 10] [5, 0, 10, 2, 9] [5, 0, 2, 9] ---------------- = ------------ [6, 10, 10] [6, 10] denominator=, [6, 11, 14] [1, 4, 14, 12, 0] [1, 4, 12, 0] ----------------- = ------------- [6, 11, 14] [6, 11] denominator=, [6, 12, 8] [3, 2, 8, 4, 9] [3, 2, 4, 9] --------------- = ------------ [6, 12, 8] [6, 12] denominator=, [6, 13, 11] [1, 9, 11, 9, 0] [1, 9, 9, 0] ---------------- = ------------ [6, 13, 11] [6, 13] [4, 2, 11, 4, 9] [4, 2, 4, 9] ---------------- = ------------ [6, 13, 11] [6, 13] denominator=, [6, 14, 14] [1, 17, 14, 10, 9] [1, 17, 10, 9] ------------------ = -------------- [6, 14, 14] [6, 14] [5, 3, 14, 3, 9] [5, 3, 3, 9] ---------------- = ------------ [6, 14, 14] [6, 14] denominator=, [6, 16, 4] [2, 0, 4, 3, 0] [2, 0, 3, 0] --------------- = ------------ [6, 16, 4] [6, 16] [4, 8, 4, 1, 9] [4, 8, 1, 9] --------------- = ------------ [6, 16, 4] [6, 16] denominator=, [6, 17, 5] [3, 0, 5, 3, 0] [3, 0, 3, 0] --------------- = ------------ [6, 17, 5] [6, 17] denominator=, [6, 17, 15] [1, 0, 15, 13, 9] [1, 0, 13, 9] ----------------- = ------------- [6, 17, 15] [6, 17] denominator=, [7, 0, 14] [2, 13, 14, 9, 0] [2, 13, 9, 0] ----------------- = ------------- [7, 0, 14] [7, 0] denominator=, [7, 2, 8] [2, 1, 8, 6, 0] [2, 1, 6, 0] --------------- = ------------ [7, 2, 8] [7, 2] denominator=, [7, 4, 10] [1, 1, 10, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [7, 4, 10] [7, 4] [3, 2, 10, 6, 0] [3, 2, 6, 0] ---------------- = ------------ [7, 4, 10] [7, 4] [5, 3, 10, 3, 0] [5, 3, 3, 0] ---------------- = ------------ [7, 4, 10] [7, 4] denominator=, [7, 4, 13] [16, 13, 12, 0] [16, 12, 0] --------------- = ----------- [7, 4, 13] [7, 4] [1, 17, 13, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [7, 4, 13] [7, 4] [3, 0, 13, 8, 0] [3, 0, 8, 0] ---------------- = ------------ [7, 4, 13] [7, 4] [4, 1, 13, 6, 0] [4, 1, 6, 0] ---------------- = ------------ [7, 4, 13] [7, 4] [5, 2, 13, 4, 0] [5, 2, 4, 0] ---------------- = ------------ [7, 4, 13] [7, 4] [6, 3, 13, 2, 0] [6, 3, 2, 0] ---------------- = ------------ [7, 4, 13] [7, 4] denominator=, [7, 6, 12] [2, 2, 12, 9, 0] [2, 2, 9, 0] ---------------- = ------------ [7, 6, 12] [7, 6] [4, 13, 12, 4, 9] [4, 13, 4, 9] ----------------- = ------------- [7, 6, 12] [7, 6] denominator=, [7, 8, 2] [2, 3, 2, 1, 9] [2, 3, 1, 9] --------------- = ------------ [7, 8, 2] [7, 8] denominator=, [7, 9, 5] [1, 2, 5, 4, 9] [1, 2, 4, 9] --------------- = ------------ [7, 9, 5] [7, 9] denominator=, [7, 9, 15] [3, 4, 15, 9, 0] [3, 4, 9, 0] ---------------- = ------------ [7, 9, 15] [7, 9] denominator=, [7, 10, 16] [2, 3, 16, 12, 0] [2, 3, 12, 0] ----------------- = ------------- [7, 10, 16] [7, 10] denominator=, [7, 12, 6] [2, 4, 6, 4, 9] [2, 4, 4, 9] --------------- = ------------ [7, 12, 6] [7, 12] denominator=, [7, 14, 5] [1, 16, 5, 4, 0] [1, 16, 4, 0] ---------------- = ------------- [7, 14, 5] [7, 14] [4, 15, 5, 2, 0] [4, 15, 2, 0] ---------------- = ------------- [7, 14, 5] [7, 14] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [7, 16, 10] [2, 5, 10, 7, 9] [2, 5, 7, 9] ---------------- = ------------ [7, 16, 10] [7, 16] denominator=, [7, 17, 11] [1, 14, 11, 9, 0] [1, 14, 9, 0] ----------------- = ------------- [7, 17, 11] [7, 17] [3, 15, 11, 6, 0] [3, 15, 6, 0] ----------------- = ------------- [7, 17, 11] [7, 17] [5, 16, 11, 3, 0] [5, 16, 3, 0] ----------------- = ------------- [7, 17, 11] [7, 17] denominator=, [7, 17, 13] [2, 13, 13, 9] [2, 13, 9] -------------- = ---------- [7, 17, 13] [7, 17] [2, 13, 13, 9, 0] [2, 13, 9, 0] ----------------- = ------------- [7, 17, 13] [7, 17] [5, 6, 13, 4, 9] [5, 6, 4, 9] ---------------- = ------------ [7, 17, 13] [7, 17] denominator=, [8, 0, 16] [3, 13, 16, 9, 0] [3, 13, 9, 0] ----------------- = ------------- [8, 0, 16] [8, 0] denominator=, [8, 1, 10] [1, 17, 10, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [8, 1, 10] [8, 1] [5, 0, 10, 4, 0] [5, 0, 4, 0] ---------------- = ------------ [8, 1, 10] [8, 1] denominator=, [8, 1, 15] [1, 3, 15, 13, 9] [1, 3, 13, 9] ----------------- = ------------- [8, 1, 15] [8, 1] denominator=, [8, 2, 14] [2, 6, 14, 10, 9] [2, 6, 10, 9] ----------------- = ------------- [8, 2, 14] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 6, 10] [1, 4, 10, 9, 0] [1, 4, 9, 0] ---------------- = ------------ [8, 6, 10] [8, 6] [4, 14, 10, 4, 9] [4, 14, 4, 9] ----------------- = ------------- [8, 6, 10] [8, 6] denominator=, [8, 6, 15] [17, 15, 14, 0] [17, 14, 0] --------------- = ----------- [8, 6, 15] [8, 6] [2, 0, 15, 12, 0] [2, 0, 12, 0] ----------------- = ------------- [8, 6, 15] [8, 6] [4, 2, 15, 8, 0] [4, 2, 8, 0] ---------------- = ------------ [8, 6, 15] [8, 6] [5, 3, 15, 6, 0] [5, 3, 6, 0] ---------------- = ------------ [8, 6, 15] [8, 6] [6, 4, 15, 4, 0] [6, 4, 4, 0] ---------------- = ------------ [8, 6, 15] [8, 6] [7, 5, 15, 2, 0] [7, 5, 2, 0] ---------------- = ------------ [8, 6, 15] [8, 6] denominator=, [8, 10, 7] [1, 11, 7, 6, 0] [1, 11, 6, 0] ---------------- = ------------- [8, 10, 7] [8, 10] denominator=, [8, 10, 14] [13, 14, 13, 9] [13, 13, 9] --------------- = ----------- [8, 10, 14] [8, 10] [3, 6, 14, 9, 0] [3, 6, 9, 0] ---------------- = ------------ [8, 10, 14] [8, 10] [5, 17, 14, 4, 9] [5, 17, 4, 9] ----------------- = ------------- [8, 10, 14] [8, 10] denominator=, [8, 11, 5] [1, 5, 5, 4, 9] [1, 5, 4, 9] --------------- = ------------ [8, 11, 5] [8, 11] [3, 13, 5, 3, 0] [3, 13, 3, 0] ---------------- = ------------- [8, 11, 5] [8, 11] [6, 3, 5, 1, 9] [6, 3, 1, 9] --------------- = ------------ [8, 11, 5] [8, 11] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 14, 2] [2, 10, 2, 1, 9] [2, 10, 1, 9] ---------------- = ------------- [8, 14, 2] [8, 14] denominator=, [8, 16, 10] [3, 15, 10, 6, 0] [3, 15, 6, 0] ----------------- = ------------- [8, 16, 10] [8, 16] denominator=, [8, 16, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 10, 16, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [6, 14, 16, 4, 0] [6, 14, 4, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] denominator=, [8, 17, 7] [3, 9, 7, 4, 9] [3, 9, 4, 9] --------------- = ------------ [8, 17, 7] [8, 17] denominator=, [8, 17, 14] [1, 12, 14, 12, 0] [1, 12, 12, 0] ------------------ = -------------- [8, 17, 14] [8, 17] denominator=, [9, 0, 6] [2, 11, 6, 4, 9] [2, 11, 4, 9] ---------------- = ------------- [9, 0, 6] [9, 0] denominator=, [9, 3, 11] [2, 1, 11, 9, 0] [2, 1, 9, 0] ---------------- = ------------ [9, 3, 11] [9, 3] [5, 11, 11, 4, 9] [5, 11, 4, 9] ----------------- = ------------- [9, 3, 11] [9, 3] denominator=, [9, 3, 15] [1, 6, 15, 13, 9] [1, 6, 13, 9] ----------------- = ------------- [9, 3, 15] [9, 3] [3, 17, 15, 9, 0] [3, 17, 9, 0] ----------------- = ------------- [9, 3, 15] [9, 3] [6, 10, 15, 4, 9] [6, 10, 4, 9] ----------------- = ------------- [9, 3, 15] [9, 3] denominator=, [9, 4, 10] [2, 12, 10, 7, 9] [2, 12, 7, 9] ----------------- = ------------- [9, 4, 10] [9, 4] denominator=, [9, 7, 13] [1, 3, 13, 12, 0] [1, 3, 12, 0] ----------------- = ------------- [9, 7, 13] [9, 7] [3, 4, 13, 9, 0] [3, 4, 9, 0] ---------------- = ------------ [9, 7, 13] [9, 7] [5, 5, 13, 6, 0] [5, 5, 6, 0] ---------------- = ------------ [9, 7, 13] [9, 7] [7, 6, 13, 3, 0] [7, 6, 3, 0] ---------------- = ------------ [9, 7, 13] [9, 7] denominator=, [9, 8, 10] [1, 7, 10, 9, 0] [1, 7, 9, 0] ---------------- = ------------ [9, 8, 10] [9, 8] denominator=, [9, 8, 14] [2, 13, 14, 10, 9] [2, 13, 10, 9] ------------------ = -------------- [9, 8, 14] [9, 8] denominator=, [9, 10, 4] [2, 14, 4, 3, 0] [2, 14, 3, 0] ---------------- = ------------- [9, 10, 4] [9, 10] [6, 3, 4, 1, 9] [6, 3, 1, 9] --------------- = ------------ [9, 10, 4] [9, 10] denominator=, [9, 13, 5] [1, 8, 5, 4, 9] [1, 8, 4, 9] --------------- = ------------ [9, 13, 5] [9, 13] denominator=, [9, 13, 7] [1, 15, 7, 6, 0] [1, 15, 6, 0] ---------------- = ------------- [9, 13, 7] [9, 13] [5, 14, 7, 3, 0] [5, 14, 3, 0] ---------------- = ------------- [9, 13, 7] [9, 13] denominator=, [9, 14, 8] [2, 15, 8, 6, 0] [2, 15, 6, 0] ---------------- = ------------- [9, 14, 8] [9, 14] denominator=, [9, 14, 11] [4, 13, 11, 6, 0] [4, 13, 6, 0] ----------------- = ------------- [9, 14, 11] [9, 14] denominator=, [9, 14, 16] [1, 17, 16, 13, 9] [1, 17, 13, 9] ------------------ = -------------- [9, 14, 16] [9, 14] [4, 10, 16, 9, 0] [4, 10, 9, 0] ----------------- = ------------- [9, 14, 16] [9, 14] [7, 3, 16, 4, 9] [7, 3, 4, 9] ---------------- = ------------ [9, 14, 16] [9, 14] denominator=, [10, 0, 12] [2, 16, 12, 9, 0] [2, 16, 9, 0] ----------------- = ------------- [10, 0, 12] [10, 0] [6, 8, 12, 4, 9] [6, 8, 4, 9] ---------------- = ------------ [10, 0, 12] [10, 0] denominator=, [10, 2, 2] [2, 17, 2, 1, 9] [2, 17, 1, 9] ---------------- = ------------- [10, 2, 2] [10, 2] [7, 13, 2, 0, 9] [7, 13, 0, 9] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 2, 14] [1, 16, 14, 12, 0] [1, 16, 12, 0] ------------------ = -------------- [10, 2, 14] [10, 2] [3, 17, 14, 9, 0] [3, 17, 9, 0] ----------------- = ------------- [10, 2, 14] [10, 2] [6, 0, 14, 6, 0] [6, 0, 6, 0] ---------------- = ------------ [10, 2, 14] [10, 2] [8, 1, 14, 3, 0] [8, 1, 3, 0] ---------------- = ------------ [10, 2, 14] [10, 2] denominator=, [10, 4, 8] [4, 14, 8, 4, 9] [4, 14, 4, 9] ---------------- = ------------- [10, 4, 8] [10, 4] denominator=, [10, 4, 16] [2, 17, 16, 12, 0] [2, 17, 12, 0] ------------------ = -------------- [10, 4, 16] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 5, 15] [1, 9, 15, 13, 9] [1, 9, 13, 9] ----------------- = ------------- [10, 5, 15] [10, 5] denominator=, [10, 6, 6] [3, 0, 6, 4, 9] [3, 0, 4, 9] --------------- = ------------ [10, 6, 6] [10, 6] [7, 16, 6, 1, 9] [7, 16, 1, 9] ---------------- = ------------- [10, 6, 6] [10, 6] denominator=, [10, 7, 11] [2, 6, 11, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [10, 7, 11] [10, 7] denominator=, [10, 9, 7] [4, 2, 7, 4, 9] [4, 2, 4, 9] --------------- = ------------ [10, 9, 7] [10, 9] denominator=, [10, 14, 14] [3, 2, 14, 10, 9] [3, 2, 10, 9] ----------------- = ------------- [10, 14, 14] [10, 14] [8, 4, 14, 3, 9] [8, 4, 3, 9] ---------------- = ------------ [10, 14, 14] [10, 14] denominator=, [10, 15, 5] [1, 11, 5, 4, 9] [1, 11, 4, 9] ---------------- = ------------- [10, 15, 5] [10, 15] denominator=, [10, 15, 13] [3, 13, 13, 9] [3, 13, 9] -------------- = ---------- [10, 15, 13] [10, 15] [3, 13, 13, 9, 0] [3, 13, 9, 0] ----------------- = ------------- [10, 15, 13] [10, 15] [7, 5, 13, 4, 9] [7, 5, 4, 9] ---------------- = ------------ [10, 15, 13] [10, 15] denominator=, [10, 15, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [10, 16, 4] [3, 3, 4, 3, 0] [3, 3, 3, 0] --------------- = ------------ [10, 16, 4] [10, 16] denominator=, [10, 16, 7] [2, 1, 7, 6, 0] [2, 1, 6, 0] --------------- = ------------ [10, 16, 7] [10, 16] [5, 0, 7, 4, 0] [5, 0, 4, 0] --------------- = ------------ [10, 16, 7] [10, 16] [7, 17, 7, 2, 0] [7, 17, 2, 0] ---------------- = ------------- [10, 16, 7] [10, 16] denominator=, [11, 2, 8] [3, 4, 8, 6, 0] [3, 4, 6, 0] --------------- = ------------ [11, 2, 8] [11, 2] [7, 3, 8, 3, 0] [7, 3, 3, 0] --------------- = ------------ [11, 2, 8] [11, 2] denominator=, [11, 5, 14] [2, 2, 14, 12, 0] [2, 2, 12, 0] ----------------- = ------------- [11, 5, 14] [11, 5] [5, 3, 14, 8, 0] [5, 3, 8, 0] ---------------- = ------------ [11, 5, 14] [11, 5] [8, 4, 14, 4, 0] [8, 4, 4, 0] ---------------- = ------------ [11, 5, 14] [11, 5] denominator=, [11, 6, 12] [3, 5, 12, 9, 0] [3, 5, 9, 0] ---------------- = ------------ [11, 6, 12] [11, 6] denominator=, [11, 7, 15] [1, 12, 15, 13, 9] [1, 12, 13, 9] ------------------ = -------------- [11, 7, 15] [11, 7] denominator=, [11, 8, 2] [3, 6, 2, 1, 9] [3, 6, 1, 9] --------------- = ------------ [11, 8, 2] [11, 8] denominator=, [11, 10, 13] [1, 8, 13, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [11, 10, 13] [11, 10] [6, 9, 13, 6, 0] [6, 9, 6, 0] ---------------- = ------------ [11, 10, 13] [11, 10] denominator=, [11, 10, 16] [1, 5, 16, 15, 0] [1, 5, 15, 0] ----------------- = ------------- [11, 10, 16] [11, 10] [3, 6, 16, 12, 0] [3, 6, 12, 0] ----------------- = ------------- [11, 10, 16] [11, 10] [5, 7, 16, 9, 0] [5, 7, 9, 0] ---------------- = ------------ [11, 10, 16] [11, 10] [7, 8, 16, 6, 0] [7, 8, 6, 0] ---------------- = ------------ [11, 10, 16] [11, 10] [9, 9, 16, 3, 0] [9, 9, 3, 0] ---------------- = ------------ [11, 10, 16] [11, 10] denominator=, [11, 12, 6] [3, 7, 6, 4, 9] [3, 7, 4, 9] --------------- = ------------ [11, 12, 6] [11, 12] denominator=, [11, 12, 10] [1, 13, 10, 9, 0] [1, 13, 9, 0] ----------------- = ------------- [11, 12, 10] [11, 12] denominator=, [11, 12, 14] [1, 0, 14, 13, 9] [1, 0, 13, 9] ----------------- = ------------- [11, 12, 14] [11, 12] [4, 10, 14, 9, 0] [4, 10, 9, 0] ----------------- = ------------- [11, 12, 14] [11, 12] [8, 2, 14, 4, 9] [8, 2, 4, 9] ---------------- = ------------ [11, 12, 14] [11, 12] denominator=, [11, 16, 10] [3, 8, 10, 7, 9] [3, 8, 7, 9] ---------------- = ------------ [11, 16, 10] [11, 16] denominator=, [11, 17, 5] [1, 14, 5, 4, 9] [1, 14, 4, 9] ---------------- = ------------- [11, 17, 5] [11, 17] [5, 3, 5, 3, 0] [5, 3, 3, 0] --------------- = ------------ [11, 17, 5] [11, 17] [8, 10, 5, 1, 9] [8, 10, 1, 9] ---------------- = ------------- [11, 17, 5] [11, 17] denominator=, [12, 0, 8] [5, 11, 8, 4, 9] [5, 11, 4, 9] ---------------- = ------------- [12, 0, 8] [12, 0] denominator=, [12, 1, 7] [2, 5, 7, 6, 0] [2, 5, 6, 0] --------------- = ------------ [12, 1, 7] [12, 1] [4, 13, 7, 4, 9] [4, 13, 4, 9] ---------------- = ------------- [12, 1, 7] [12, 1] [7, 3, 7, 3, 0] [7, 3, 3, 0] --------------- = ------------ [12, 1, 7] [12, 1] [9, 11, 7, 1, 9] [9, 11, 1, 9] ---------------- = ------------- [12, 1, 7] [12, 1] denominator=, [12, 2, 14] [3, 9, 14, 10, 9] [3, 9, 10, 9] ----------------- = ------------- [12, 2, 14] [12, 2] denominator=, [12, 4, 4] [2, 2, 4, 3, 9] [2, 2, 3, 9] --------------- = ------------ [12, 4, 4] [12, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [5, 0, 4, 2, 9] [5, 0, 2, 9] --------------- = ------------ [12, 4, 4] [12, 4] [7, 16, 4, 1, 9] [7, 16, 1, 9] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] [10, 14, 4, 0, 9] [10, 14, 0, 9] ----------------- = -------------- [12, 4, 4] [12, 4] denominator=, [12, 4, 10] [5, 5, 10, 6, 0] [5, 5, 6, 0] ---------------- = ------------ [12, 4, 10] [12, 4] denominator=, [12, 5, 13] [4, 4, 13, 9, 0] [4, 4, 9, 0] ---------------- = ------------ [12, 5, 13] [12, 5] denominator=, [12, 8, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] denominator=, [12, 8, 14] [2, 6, 14, 12, 0] [2, 6, 12, 0] ----------------- = ------------- [12, 8, 14] [12, 8] [7, 7, 14, 6, 0] [7, 7, 6, 0] ---------------- = ------------ [12, 8, 14] [12, 8] denominator=, [12, 9, 15] [1, 15, 15, 13, 9] [1, 15, 13, 9] ------------------ = -------------- [12, 9, 15] [12, 9] [5, 7, 15, 9, 0] [5, 7, 9, 0] ---------------- = ------------ [12, 9, 15] [12, 9] [8, 17, 15, 4, 9] [8, 17, 4, 9] ----------------- = ------------- [12, 9, 15] [12, 9] denominator=, [12, 14, 2] [3, 13, 2, 1, 9] [3, 13, 1, 9] ---------------- = ------------- [12, 14, 2] [12, 14] denominator=, [12, 14, 5] [1, 9, 5, 4, 12] [1, 9, 4, 12] ---------------- = ------------- [12, 14, 5] [12, 14] [3, 2, 5, 4, 0] [3, 2, 4, 0] --------------- = ------------ [12, 14, 5] [12, 14] [6, 6, 5, 2, 12] [6, 6, 2, 12] ---------------- = ------------- [12, 14, 5] [12, 14] [7, 17, 5, 2, 0] [7, 17, 2, 0] ---------------- = ------------- [12, 14, 5] [12, 14] [9, 10, 5, 1, 6] [9, 10, 1, 6] ---------------- = ------------- [12, 14, 5] [12, 14] [11, 3, 5, 0, 12] [11, 3, 0, 12] ----------------- = -------------- [12, 14, 5] [12, 14] denominator=, [12, 14, 10] [1, 16, 10, 9, 0] [1, 16, 9, 0] ----------------- = ------------- [12, 14, 10] [12, 14] [7, 6, 10, 4, 9] [7, 6, 4, 9] ---------------- = ------------ [12, 14, 10] [12, 14] denominator=, [12, 15, 11] [2, 16, 11, 9, 0] [2, 16, 9, 0] ----------------- = ------------- [12, 15, 11] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12, 0] [3, 13, 12, 0] ------------------ = -------------- [12, 16, 16] [12, 16] [9, 15, 16, 4, 0] [9, 15, 4, 0] ----------------- = ------------- [12, 16, 16] [12, 16] denominator=, [13, 0, 6] [3, 14, 6, 4, 9] [3, 14, 4, 9] ---------------- = ------------- [13, 0, 6] [13, 0] denominator=, [13, 1, 5] [1, 17, 5, 4, 9] [1, 17, 4, 9] ---------------- = ------------- [13, 1, 5] [13, 1] denominator=, [13, 1, 10] [3, 3, 10, 8, 0] [3, 3, 8, 0] ---------------- = ------------ [13, 1, 10] [13, 1] [8, 2, 10, 4, 0] [8, 2, 4, 0] ---------------- = ------------ [13, 1, 10] [13, 1] denominator=, [13, 4, 7] [2, 9, 7, 6, 0] [2, 9, 6, 0] --------------- = ------------ [13, 4, 7] [13, 4] denominator=, [13, 4, 10] [3, 15, 10, 7, 9] [3, 15, 7, 9] ----------------- = ------------- [13, 4, 10] [13, 4] denominator=, [13, 4, 14] [5, 3, 14, 9, 0] [5, 3, 9, 0] ---------------- = ------------ [13, 4, 14] [13, 4] denominator=, [13, 6, 15] [3, 4, 15, 12, 0] [3, 4, 12, 0] ----------------- = ------------- [13, 6, 15] [13, 6] [8, 5, 15, 6, 0] [8, 5, 6, 0] ---------------- = ------------ [13, 6, 15] [13, 6] denominator=, [13, 6, 16] [2, 12, 16, 13, 9] [2, 12, 13, 9] ------------------ = -------------- [13, 6, 16] [13, 6] [6, 4, 16, 9, 0] [6, 4, 9, 0] ---------------- = ------------ [13, 6, 16] [13, 6] [9, 14, 16, 4, 9] [9, 14, 4, 9] ----------------- = ------------- [13, 6, 16] [13, 6] denominator=, [13, 8, 11] [6, 9, 11, 6, 0] [6, 9, 6, 0] ---------------- = ------------ [13, 8, 11] [13, 8] denominator=, [13, 8, 14] [3, 16, 14, 10, 9] [3, 16, 10, 9] ------------------ = -------------- [13, 8, 14] [13, 8] denominator=, [13, 10, 4] [3, 17, 4, 3, 0] [3, 17, 3, 0] ---------------- = ------------- [13, 10, 4] [13, 10] denominator=, [13, 11, 5] [5, 16, 5, 3, 0] [5, 16, 3, 0] ---------------- = ------------- [13, 11, 5] [13, 11] denominator=, [13, 11, 7] [5, 6, 7, 4, 9] [5, 6, 4, 9] --------------- = ------------ [13, 11, 7] [13, 11] denominator=, [13, 11, 14] [2, 10, 14, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [13, 11, 14] [13, 11] denominator=, [13, 11, 15] [2, 0, 15, 13, 9] [2, 0, 13, 9] ----------------- = ------------- [13, 11, 15] [13, 11] denominator=, [13, 14, 8] [1, 10, 8, 7, 9] [1, 10, 7, 9] ---------------- = ------------- [13, 14, 8] [13, 14] [4, 0, 8, 6, 0] [4, 0, 6, 0] --------------- = ------------ [13, 14, 8] [13, 14] [6, 8, 8, 4, 9] [6, 8, 4, 9] --------------- = ------------ [13, 14, 8] [13, 14] [8, 16, 8, 3, 0] [8, 16, 3, 0] ---------------- = ------------- [13, 14, 8] [13, 14] [11, 6, 8, 1, 9] [11, 6, 1, 9] ---------------- = ------------- [13, 14, 8] [13, 14] denominator=, [13, 16, 10] [2, 1, 10, 9, 0] [2, 1, 9, 0] ---------------- = ------------ [13, 16, 10] [13, 16] [6, 0, 10, 6, 0] [6, 0, 6, 0] ---------------- = ------------ [13, 16, 10] [13, 16] [9, 17, 10, 3, 0] [9, 17, 3, 0] ----------------- = ------------- [13, 16, 10] [13, 16] denominator=, [14, 0, 12] [4, 1, 12, 9, 0] [4, 1, 9, 0] ---------------- = ------------ [14, 0, 12] [14, 0] denominator=, [14, 1, 11] [3, 3, 11, 9, 0] [3, 3, 9, 0] ---------------- = ------------ [14, 1, 11] [14, 1] [8, 11, 11, 4, 9] [8, 11, 4, 9] ----------------- = ------------- [14, 1, 11] [14, 1] denominator=, [14, 2, 2] [1, 16, 2, 1, 15] [1, 16, 1, 15] ----------------- = -------------- [14, 2, 2] [14, 2] [4, 2, 2, 1, 9] [4, 2, 1, 9] --------------- = ------------ [14, 2, 2] [14, 2] [6, 6, 2, 1, 3] [6, 6, 1, 3] --------------- = ------------ [14, 2, 2] [14, 2] [8, 10, 2, 0, 15] [8, 10, 0, 15] ----------------- = -------------- [14, 2, 2] [14, 2] [10, 14, 2, 0, 9] [10, 14, 0, 9] ----------------- = -------------- [14, 2, 2] [14, 2] [13, 0, 2, 0, 3] [13, 0, 0, 3] ---------------- = ------------- [14, 2, 2] [14, 2] denominator=, [14, 3, 5] [2, 2, 5, 4, 9] [2, 2, 4, 9] --------------- = ------------ [14, 3, 5] [14, 3] denominator=, [14, 3, 15] [6, 2, 15, 9, 0] [6, 2, 9, 0] ---------------- = ------------ [14, 3, 15] [14, 3] denominator=, [14, 4, 16] [4, 2, 16, 12, 0] [4, 2, 12, 0] ----------------- = ------------- [14, 4, 16] [14, 4] [9, 3, 16, 6, 0] [9, 3, 6, 0] ---------------- = ------------ [14, 4, 16] [14, 4] denominator=, [14, 6, 6] [4, 3, 6, 4, 9] [4, 3, 4, 9] --------------- = ------------ [14, 6, 6] [14, 6] [10, 17, 6, 1, 9] [10, 17, 1, 9] ----------------- = -------------- [14, 6, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 10, 10] [4, 4, 10, 7, 9] [4, 4, 7, 9] ---------------- = ------------ [14, 10, 10] [14, 10] [11, 2, 10, 2, 9] [11, 2, 2, 9] ----------------- = ------------- [14, 10, 10] [14, 10] denominator=, [14, 13, 15] [2, 3, 15, 13, 9] [2, 3, 13, 9] ----------------- = ------------- [14, 13, 15] [14, 13] denominator=, [14, 16, 4] [4, 6, 4, 3, 0] [4, 6, 3, 0] --------------- = ------------ [14, 16, 4] [14, 16] [9, 11, 4, 1, 9] [9, 11, 1, 9] ---------------- = ------------- [14, 16, 4] [14, 16] denominator=, [15, 0, 10] [2, 4, 10, 9, 0] [2, 4, 9, 0] ---------------- = ------------ [15, 0, 10] [15, 0] [8, 11, 10, 4, 9] [8, 11, 4, 9] ----------------- = ------------- [15, 0, 10] [15, 0] denominator=, [15, 2, 8] [4, 7, 8, 6, 0] [4, 7, 6, 0] --------------- = ------------ [15, 2, 8] [15, 2] denominator=, [15, 2, 16] [7, 1, 16, 9, 0] [7, 1, 9, 0] ---------------- = ------------ [15, 2, 16] [15, 2] denominator=, [15, 3, 7] [5, 17, 7, 4, 9] [5, 17, 4, 9] ---------------- = ------------- [15, 3, 7] [15, 3] denominator=, [15, 3, 13] [5, 4, 13, 9, 0] [5, 4, 9, 0] ---------------- = ------------ [15, 3, 13] [15, 3] denominator=, [15, 5, 5] [2, 5, 5, 4, 9] [2, 5, 4, 9] --------------- = ------------ [15, 5, 5] [15, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [5, 3, 5, 3, 9] [5, 3, 3, 9] --------------- = ------------ [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [10, 17, 5, 1, 9] [10, 17, 1, 9] ----------------- = -------------- [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [13, 15, 5, 0, 9] [13, 15, 0, 9] ----------------- = -------------- [15, 5, 5] [15, 5] denominator=, [15, 5, 11] [3, 8, 11, 9, 0] [3, 8, 9, 0] ---------------- = ------------ [15, 5, 11] [15, 5] [7, 7, 11, 6, 0] [7, 7, 6, 0] ---------------- = ------------ [15, 5, 11] [15, 5] [11, 6, 11, 3, 0] [11, 6, 3, 0] ----------------- = ------------- [15, 5, 11] [15, 5] denominator=, [15, 6, 12] [4, 8, 12, 9, 0] [4, 8, 9, 0] ---------------- = ------------ [15, 6, 12] [15, 6] [9, 16, 12, 4, 9] [9, 16, 4, 9] ----------------- = ------------- [15, 6, 12] [15, 6] denominator=, [15, 8, 2] [4, 9, 2, 1, 9] [4, 9, 1, 9] --------------- = ------------ [15, 8, 2] [15, 8] denominator=, [15, 10, 7] [2, 17, 7, 6, 0] [2, 17, 6, 0] ---------------- = ------------- [15, 10, 7] [15, 10] denominator=, [15, 10, 8] [7, 5, 8, 4, 9] [7, 5, 4, 9] --------------- = ------------ [15, 10, 8] [15, 10] denominator=, [15, 10, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] denominator=, [15, 10, 16] [4, 9, 16, 12, 0] [4, 9, 12, 0] ----------------- = ------------- [15, 10, 16] [15, 10] denominator=, [15, 12, 6] [4, 10, 6, 4, 9] [4, 10, 4, 9] ---------------- = ------------- [15, 12, 6] [15, 12] denominator=, [15, 16, 10] [4, 11, 10, 7, 9] [4, 11, 7, 9] ----------------- = ------------- [15, 16, 10] [15, 16] denominator=, [15, 16, 13] [2, 0, 13, 12, 0] [2, 0, 12, 0] ----------------- = ------------- [15, 16, 13] [15, 16] [8, 17, 13, 6, 0] [8, 17, 6, 0] ----------------- = ------------- [15, 16, 13] [15, 16] denominator=, [15, 17, 14] [3, 0, 14, 12, 0] [3, 0, 12, 0] ----------------- = ------------- [15, 17, 14] [15, 17] denominator=, [16, 2, 10] [2, 7, 10, 9, 0] [2, 7, 9, 0] ---------------- = ------------ [16, 2, 10] [16, 2] denominator=, [16, 2, 14] [4, 12, 14, 10, 9] [4, 12, 10, 9] ------------------ = -------------- [16, 2, 14] [16, 2] denominator=, [16, 4, 4] [2, 3, 4, 3, 12] [2, 3, 3, 12] ---------------- = ------------- [16, 4, 4] [16, 4] [4, 13, 4, 3, 0] [4, 13, 3, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [7, 5, 4, 2, 6] [7, 5, 2, 6] --------------- = ------------ [16, 4, 4] [16, 4] [9, 15, 4, 1, 12] [9, 15, 1, 12] ----------------- = -------------- [16, 4, 4] [16, 4] [12, 7, 4, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [14, 17, 4, 0, 6] [14, 17, 0, 6] ----------------- = -------------- [16, 4, 4] [16, 4] denominator=, [16, 6, 14] [6, 7, 14, 9, 0] [6, 7, 9, 0] ---------------- = ------------ [16, 6, 14] [16, 6] denominator=, [16, 7, 5] [2, 8, 5, 4, 9] [2, 8, 4, 9] --------------- = ------------ [16, 7, 5] [16, 7] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [4, 14, 8, 6, 0] [4, 14, 6, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [12, 10, 8, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 9, 11] [3, 13, 11, 9, 0] [3, 13, 9, 0] ----------------- = ------------- [16, 9, 11] [16, 9] [10, 2, 11, 4, 9] [10, 2, 4, 9] ----------------- = ------------- [16, 9, 11] [16, 9] denominator=, [16, 11, 13] [5, 13, 13, 9] [5, 13, 9] -------------- = ---------- [16, 11, 13] [16, 11] [5, 13, 13, 9, 0] [5, 13, 9, 0] ----------------- = ------------- [16, 11, 13] [16, 11] [11, 3, 13, 4, 9] [11, 3, 4, 9] ----------------- = ------------- [16, 11, 13] [16, 11] denominator=, [16, 12, 3] [6, 3, 3, 2] [6, 3, 2] ------------ = --------- [16, 12, 3] [16, 12] [1, 9, 3, 2, 16] [1, 9, 2, 16] ---------------- = ------------- [16, 12, 3] [16, 12] [3, 15, 3, 2, 8] [3, 15, 2, 8] ---------------- = ------------- [16, 12, 3] [16, 12] [5, 0, 3, 2, 4] [5, 0, 2, 4] --------------- = ------------ [16, 12, 3] [16, 12] [7, 6, 3, 1, 14] [7, 6, 1, 14] ---------------- = ------------- [16, 12, 3] [16, 12] [8, 9, 3, 1, 10] [8, 9, 1, 10] ---------------- = ------------- [16, 12, 3] [16, 12] [10, 15, 3, 1, 2] [10, 15, 1, 2] ----------------- = -------------- [16, 12, 3] [16, 12] [12, 0, 3, 0, 16] [12, 0, 0, 16] ----------------- = -------------- [16, 12, 3] [16, 12] [14, 6, 3, 0, 8] [14, 6, 0, 8] ---------------- = ------------- [16, 12, 3] [16, 12] [15, 9, 3, 0, 4] [15, 9, 0, 4] ---------------- = ------------- [16, 12, 3] [16, 12] denominator=, [16, 12, 12] [4, 15, 12, 9, 0] [4, 15, 9, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [12, 13, 12, 3, 0] [12, 13, 3, 0] ------------------ = -------------- [16, 12, 12] [16, 12] denominator=, [16, 13, 7] [3, 3, 7, 6, 0] [3, 3, 6, 0] --------------- = ------------ [16, 13, 7] [16, 13] [6, 10, 7, 4, 9] [6, 10, 4, 9] ---------------- = ------------- [16, 13, 7] [16, 13] [9, 17, 7, 3, 0] [9, 17, 3, 0] ---------------- = ------------- [16, 13, 7] [16, 13] [13, 6, 7, 1, 9] [13, 6, 1, 9] ---------------- = ------------- [16, 13, 7] [16, 13] denominator=, [16, 14, 2] [4, 16, 2, 1, 9] [4, 16, 1, 9] ---------------- = ------------- [16, 14, 2] [16, 14] denominator=, [16, 17, 5] [7, 6, 5, 3, 0] [7, 6, 3, 0] --------------- = ------------ [16, 17, 5] [16, 17] denominator=, [16, 17, 15] [2, 9, 15, 13, 9] [2, 9, 13, 9] ----------------- = ------------- [16, 17, 15] [16, 17] denominator=, [17, 0, 6] [4, 17, 6, 4, 9] [4, 17, 4, 9] ---------------- = ------------- [17, 0, 6] [17, 0] denominator=, [17, 2, 11] [2, 7, 11, 10, 0] [2, 7, 10, 0] ----------------- = ------------- [17, 2, 11] [17, 2] [5, 6, 11, 8, 0] [5, 6, 8, 0] ---------------- = ------------ [17, 2, 11] [17, 2] [8, 5, 11, 6, 0] [8, 5, 6, 0] ---------------- = ------------ [17, 2, 11] [17, 2] [11, 4, 11, 4, 0] [11, 4, 4, 0] ----------------- = ------------- [17, 2, 11] [17, 2] [14, 3, 11, 2, 0] [14, 3, 2, 0] ----------------- = ------------- [17, 2, 11] [17, 2] denominator=, [17, 2, 14] [3, 4, 14, 12, 0] [3, 4, 12, 0] ----------------- = ------------- [17, 2, 14] [17, 2] [10, 3, 14, 6, 0] [10, 3, 6, 0] ----------------- = ------------- [17, 2, 14] [17, 2] denominator=, [17, 4, 10] [2, 10, 10, 9] [2, 10, 9] -------------- = ---------- [17, 4, 10] [17, 4] [2, 10, 10, 9, 0] [2, 10, 9, 0] ----------------- = ------------- [17, 4, 10] [17, 4] [5, 0, 10, 7, 9] [5, 0, 7, 9] ---------------- = ------------ [17, 4, 10] [17, 4] [7, 8, 10, 6, 0] [7, 8, 6, 0] ---------------- = ------------ [17, 4, 10] [17, 4] [9, 16, 10, 4, 9] [9, 16, 4, 9] ----------------- = ------------- [17, 4, 10] [17, 4] [12, 6, 10, 3, 0] [12, 6, 3, 0] ----------------- = ------------- [17, 4, 10] [17, 4] [14, 14, 10, 1, 9] [14, 14, 1, 9] ------------------ = -------------- [17, 4, 10] [17, 4] denominator=, [17, 6, 8] [8, 2, 8, 4, 9] [8, 2, 4, 9] --------------- = ------------ [17, 6, 8] [17, 6] denominator=, [17, 8, 14] [5, 1, 14, 10, 9] [5, 1, 10, 9] ----------------- = ------------- [17, 8, 14] [17, 8] denominator=, [17, 9, 5] [2, 11, 5, 4, 9] [2, 11, 4, 9] ---------------- = ------------- [17, 9, 5] [17, 9] denominator=, [17, 9, 15] [7, 10, 15, 9, 0] [7, 10, 9, 0] ----------------- = ------------- [17, 9, 15] [17, 9] denominator=, [17, 10, 4] [5, 2, 4, 3, 0] [5, 2, 3, 0] --------------- = ------------ [17, 10, 4] [17, 10] [11, 6, 4, 1, 9] [11, 6, 1, 9] ---------------- = ------------- [17, 10, 4] [17, 10] denominator=, [17, 13, 11] [4, 0, 11, 9, 0] [4, 0, 9, 0] ---------------- = ------------ [17, 13, 11] [17, 13] denominator=, [17, 14, 5] [4, 6, 5, 4, 0] [4, 6, 4, 0] --------------- = ------------ [17, 14, 5] [17, 14] [11, 1, 5, 2, 0] [11, 1, 2, 0] ---------------- = ------------- [17, 14, 5] [17, 14] denominator=, [17, 14, 8] [5, 3, 8, 6, 0] [5, 3, 6, 0] --------------- = ------------ [17, 14, 8] [17, 14] denominator=, [17, 16, 7] [3, 7, 7, 6] [3, 7, 6] ------------ = --------- [17, 16, 7] [17, 16] [1, 14, 7, 6, 12] [1, 14, 6, 12] ----------------- = -------------- [17, 16, 7] [17, 16] [3, 7, 7, 6, 0] [3, 7, 6, 0] --------------- = ------------ [17, 16, 7] [17, 16] [5, 0, 7, 5, 6] [5, 0, 5, 6] --------------- = ------------ [17, 16, 7] [17, 16] [8, 4, 7, 4, 0] [8, 4, 4, 0] --------------- = ------------ [17, 16, 7] [17, 16] [9, 15, 7, 3, 6] [9, 15, 3, 6] ---------------- = ------------- [17, 16, 7] [17, 16] [11, 8, 7, 2, 12] [11, 8, 2, 12] ----------------- = -------------- [17, 16, 7] [17, 16] [13, 1, 7, 2, 0] [13, 1, 2, 0] ---------------- = ------------- [17, 16, 7] [17, 16] [14, 12, 7, 1, 6] [14, 12, 1, 6] ----------------- = -------------- [17, 16, 7] [17, 16] [16, 5, 7, 0, 12] [16, 5, 0, 12] ----------------- = -------------- [17, 16, 7] [17, 16] denominator=, [17, 16, 14] [1, 10, 14, 13, 9] [1, 10, 13, 9] ------------------ = -------------- [17, 16, 14] [17, 16] [7, 0, 14, 9, 0] [7, 0, 9, 0] ---------------- = ------------ [17, 16, 14] [17, 16] [12, 8, 14, 4, 9] [12, 8, 4, 9] ----------------- = ------------- [17, 16, 14] [17, 16] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [1, 15, 0] [1, 15] [1] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 14] [15, 15] [15] ----------- = ------- [1, 15, 14] [1, 14] denominator=, [1, 16, 0] [1, 16] [1] ---------- = ------ [1, 16, 0] [1, 0] denominator=, [1, 16, 15] [16, 16] [16] ----------- = ------- [1, 16, 15] [1, 15] denominator=, [1, 17, 0] [1, 17] [1] ---------- = ------ [1, 17, 0] [1, 0] denominator=, [1, 17, 6] [2, 17] [2] ---------- = ------ [1, 17, 6] [1, 6] denominator=, [1, 17, 9] [3, 17] [3] ---------- = ------ [1, 17, 9] [1, 9] denominator=, [1, 17, 12] [5, 17] [5] ----------- = ------- [1, 17, 12] [1, 12] denominator=, [1, 17, 14] [8, 17] [8] ----------- = ------- [1, 17, 14] [1, 14] denominator=, [1, 17, 15] [11, 17] [11] ----------- = ------- [1, 17, 15] [1, 15] denominator=, [1, 17, 16] [17, 17] [17] ----------- = ------- [1, 17, 16] [1, 16] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [2, 15, 0] [2, 15] [2] ---------- = ------ [2, 15, 0] [2, 0] denominator=, [2, 15, 13] [15, 15] [15] ----------- = ------- [2, 15, 13] [2, 13] denominator=, [2, 16, 0] [2, 16] [2] ---------- = ------ [2, 16, 0] [2, 0] denominator=, [2, 16, 14] [16, 16] [16] ----------- = ------- [2, 16, 14] [2, 14] denominator=, [2, 17, 0] [2, 17] [2] ---------- = ------ [2, 17, 0] [2, 0] denominator=, [2, 17, 9] [5, 17] [5] ---------- = ------ [2, 17, 9] [2, 9] denominator=, [2, 17, 12] [8, 17] [8] ----------- = ------- [2, 17, 12] [2, 12] denominator=, [2, 17, 15] [17, 17] [17] ----------- = ------- [2, 17, 15] [2, 15] denominator=, [2, 17, 16] [1, 8, 17] [1, 8] ----------- = ------- [2, 17, 16] [2, 16] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [3, 15] [3] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 12] [15, 15] [15] ----------- = ------- [3, 15, 12] [3, 12] denominator=, [3, 16, 0] [3, 16] [3] ---------- = ------ [3, 16, 0] [3, 0] denominator=, [3, 16, 13] [16, 16] [16] ----------- = ------- [3, 16, 13] [3, 13] denominator=, [3, 17, 0] [3, 17] [3] ---------- = ------ [3, 17, 0] [3, 0] denominator=, [3, 17, 6] [5, 17] [5] ---------- = ------ [3, 17, 6] [3, 6] denominator=, [3, 17, 9] [7, 17] [7] ---------- = ------ [3, 17, 9] [3, 9] denominator=, [3, 17, 10] [8, 17] [8] ----------- = ------- [3, 17, 10] [3, 10] denominator=, [3, 17, 12] [11, 17] [11] ----------- = ------- [3, 17, 12] [3, 12] denominator=, [3, 17, 14] [17, 17] [17] ----------- = ------- [3, 17, 14] [3, 14] denominator=, [3, 17, 15] [1, 5, 17] [1, 5] ----------- = ------- [3, 17, 15] [3, 15] denominator=, [3, 17, 16] [1, 17, 17] [1, 17] ----------- = ------- [3, 17, 16] [3, 16] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 10, 9] [1, 12, 10] [1, 12] ----------- = ------- [4, 10, 9] [4, 9] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 15, 0] [4, 15] [4] ---------- = ------ [4, 15, 0] [4, 0] denominator=, [4, 15, 11] [15, 15] [15] ----------- = ------- [4, 15, 11] [4, 11] denominator=, [4, 16, 0] [4, 16] [4] ---------- = ------ [4, 16, 0] [4, 0] denominator=, [4, 16, 12] [16, 16] [16] ----------- = ------- [4, 16, 12] [4, 12] denominator=, [4, 17, 0] [4, 17] [4] ---------- = ------ [4, 17, 0] [4, 0] denominator=, [4, 17, 3] [5, 17] [5] ---------- = ------ [4, 17, 3] [4, 3] denominator=, [4, 17, 8] [8, 17] [8] ---------- = ------ [4, 17, 8] [4, 8] denominator=, [4, 17, 9] [9, 17] [9] ---------- = ------ [4, 17, 9] [4, 9] denominator=, [4, 17, 12] [14, 17] [14] ----------- = ------- [4, 17, 12] [4, 12] denominator=, [4, 17, 13] [17, 17] [17] ----------- = ------- [4, 17, 13] [4, 13] denominator=, [4, 17, 15] [1, 11, 17] [1, 11] ----------- = ------- [4, 17, 15] [4, 15] denominator=, [4, 17, 16] [2, 8, 17] [2, 8] ----------- = ------- [4, 17, 16] [4, 16] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 7, 6] [1, 10, 7] [1, 10] ---------- = ------- [5, 7, 6] [5, 6] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [5, 15] [5] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 10] [15, 15] [15] ----------- = ------- [5, 15, 10] [5, 10] denominator=, [5, 16, 0] [5, 16] [5] ---------- = ------ [5, 16, 0] [5, 0] denominator=, [5, 16, 11] [16, 16] [16] ----------- = ------- [5, 16, 11] [5, 11] denominator=, [5, 17, 0] [5, 17] [5] ---------- = ------ [5, 17, 0] [5, 0] denominator=, [5, 17, 6] [8, 17] [8] ---------- = ------ [5, 17, 6] [5, 6] denominator=, [5, 17, 9] [11, 17] [11] ---------- = ------ [5, 17, 9] [5, 9] denominator=, [5, 17, 12] [17, 17] [17] ----------- = ------- [5, 17, 12] [5, 12] denominator=, [5, 17, 14] [1, 8, 17] [1, 8] ----------- = ------- [5, 17, 14] [5, 14] denominator=, [5, 17, 15] [1, 17, 17] [1, 17] ----------- = ------- [5, 17, 15] [5, 15] denominator=, [5, 17, 16] [2, 17, 17] [2, 17] ----------- = ------- [5, 17, 16] [5, 16] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 13, 12] [2, 16, 13] [2, 16] ----------- = ------- [6, 13, 12] [6, 12] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 14, 12] [1, 17, 14] [1, 17] ----------- = ------- [6, 14, 12] [6, 12] denominator=, [6, 15, 0] [6, 15] [6] ---------- = ------ [6, 15, 0] [6, 0] denominator=, [6, 15, 9] [15, 15] [15] ---------- = ------ [6, 15, 9] [6, 9] denominator=, [6, 16, 0] [6, 16] [6] ---------- = ------ [6, 16, 0] [6, 0] denominator=, [6, 16, 10] [16, 16] [16] ----------- = ------- [6, 16, 10] [6, 10] denominator=, [6, 17, 0] [6, 17] [6] ---------- = ------ [6, 17, 0] [6, 0] denominator=, [6, 17, 4] [8, 17] [8] ---------- = ------ [6, 17, 4] [6, 4] denominator=, [6, 17, 9] [13, 17] [13] ---------- = ------ [6, 17, 9] [6, 9] denominator=, [6, 17, 11] [17, 17] [17] ----------- = ------- [6, 17, 11] [6, 11] denominator=, [6, 17, 12] [1, 2, 17] [1, 2] ----------- = ------- [6, 17, 12] [6, 12] denominator=, [6, 17, 15] [2, 5, 17] [2, 5] ----------- = ------- [6, 17, 15] [6, 15] denominator=, [6, 17, 16] [3, 8, 17] [3, 8] ----------- = ------- [6, 17, 16] [6, 16] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 10, 9] [2, 14, 10] [2, 14] ----------- = ------- [7, 10, 9] [7, 9] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 11, 9] [1, 15, 11] [1, 15] ----------- = ------- [7, 11, 9] [7, 9] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 15, 0] [7, 15] [7] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 8] [15, 15] [15] ---------- = ------ [7, 15, 8] [7, 8] denominator=, [7, 16, 0] [7, 16] [7] ---------- = ------ [7, 16, 0] [7, 0] denominator=, [7, 16, 9] [16, 16] [16] ---------- = ------ [7, 16, 9] [7, 9] denominator=, [7, 17, 0] [7, 17] [7] ---------- = ------ [7, 17, 0] [7, 0] denominator=, [7, 17, 2] [8, 17] [8] ---------- = ------ [7, 17, 2] [7, 2] denominator=, [7, 17, 6] [11, 17] [11] ---------- = ------ [7, 17, 6] [7, 6] denominator=, [7, 17, 9] [15, 17] [15] ---------- = ------ [7, 17, 9] [7, 9] denominator=, [7, 17, 10] [17, 17] [17] ----------- = ------- [7, 17, 10] [7, 10] denominator=, [7, 17, 12] [1, 5, 17] [1, 5] ----------- = ------- [7, 17, 12] [7, 12] denominator=, [7, 17, 14] [1, 17, 17] [1, 17] ----------- = ------- [7, 17, 14] [7, 14] denominator=, [7, 17, 15] [2, 11, 17] [2, 11] ----------- = ------- [7, 17, 15] [7, 15] denominator=, [7, 17, 16] [3, 17, 17] [3, 17] ----------- = ------- [7, 17, 16] [7, 16] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 4, 3] [1, 10, 4] [1, 10] ---------- = ------- [8, 4, 3] [8, 3] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 15, 0] [8, 15] [8] ---------- = ------ [8, 15, 0] [8, 0] denominator=, [8, 15, 7] [15, 15] [15] ---------- = ------ [8, 15, 7] [8, 7] denominator=, [8, 16, 0] [8, 16] [8] ---------- = ------ [8, 16, 0] [8, 0] denominator=, [8, 16, 8] [16, 16] [16] ---------- = ------ [8, 16, 8] [8, 8] denominator=, [8, 17, 0] [8, 17] [8] ---------- = ------ [8, 17, 0] [8, 0] denominator=, [8, 17, 9] [17, 17] [17] ---------- = ------ [8, 17, 9] [8, 9] denominator=, [8, 17, 12] [1, 8, 17] [1, 8] ----------- = ------- [8, 17, 12] [8, 12] denominator=, [8, 17, 15] [2, 17, 17] [2, 17] ----------- = ------- [8, 17, 15] [8, 15] denominator=, [8, 17, 16] [4, 8, 17] [4, 8] ----------- = ------- [8, 17, 16] [8, 16] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 7, 6] [2, 13, 7] [2, 13] ---------- = ------- [9, 7, 6] [9, 6] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 8, 6] [1, 14, 8] [1, 14] ---------- = ------- [9, 8, 6] [9, 6] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 15, 0] [9, 15] [9] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 6] [15, 15] [15] ---------- = ------ [9, 15, 6] [9, 6] denominator=, [9, 16, 0] [9, 16] [9] ---------- = ------ [9, 16, 0] [9, 0] denominator=, [9, 16, 7] [16, 16] [16] ---------- = ------ [9, 16, 7] [9, 7] denominator=, [9, 17, 0] [9, 17] [9] ---------- = ------ [9, 17, 0] [9, 0] denominator=, [9, 17, 3] [11, 17] [11] ---------- = ------ [9, 17, 3] [9, 3] denominator=, [9, 17, 6] [14, 17] [14] ---------- = ------ [9, 17, 6] [9, 6] denominator=, [9, 17, 8] [17, 17] [17] ---------- = ------ [9, 17, 8] [9, 8] denominator=, [9, 17, 9] [1, 1, 17] [1, 1] ---------- = ------ [9, 17, 9] [9, 9] denominator=, [9, 17, 12] [1, 11, 17] [1, 11] ----------- = ------- [9, 17, 12] [9, 12] denominator=, [9, 17, 13] [1, 17, 17] [1, 17] ----------- = ------- [9, 17, 13] [9, 13] denominator=, [9, 17, 14] [2, 8, 17] [2, 8] ----------- = ------- [9, 17, 14] [9, 14] denominator=, [9, 17, 15] [3, 5, 17] [3, 5] ----------- = ------- [9, 17, 15] [9, 15] denominator=, [9, 17, 16] [4, 17, 17] [4, 17] ----------- = ------- [9, 17, 16] [9, 16] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 9] [3, 16, 10] [3, 16] ----------- = ------- [10, 10, 9] [10, 9] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 12, 9] [2, 0, 12] [2, 0] ----------- = ------- [10, 12, 9] [10, 9] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 14, 12] [3, 2, 14] [3, 2] ------------ = -------- [10, 14, 12] [10, 12] denominator=, [10, 15, 0] [10, 15] [10] ----------- = ------- [10, 15, 0] [10, 0] denominator=, [10, 15, 5] [15, 15] [15] ----------- = ------- [10, 15, 5] [10, 5] denominator=, [10, 16, 0] [10, 16] [10] ----------- = ------- [10, 16, 0] [10, 0] denominator=, [10, 16, 6] [16, 16] [16] ----------- = ------- [10, 16, 6] [10, 6] denominator=, [10, 17, 0] [10, 17] [10] ----------- = ------- [10, 17, 0] [10, 0] denominator=, [10, 17, 7] [17, 17] [17] ----------- = ------- [10, 17, 7] [10, 7] denominator=, [10, 17, 9] [1, 3, 17] [1, 3] ----------- = ------- [10, 17, 9] [10, 9] denominator=, [10, 17, 12] [1, 14, 17] [1, 14] ------------ = -------- [10, 17, 12] [10, 12] denominator=, [10, 17, 15] [3, 11, 17] [3, 11] ------------ = -------- [10, 17, 15] [10, 15] denominator=, [10, 17, 16] [5, 8, 17] [5, 8] ------------ = -------- [10, 17, 16] [10, 16] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 3, 2] [1, 12, 3] [1, 12] ---------- = ------- [11, 3, 2] [11, 2] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 13, 12] [5, 1, 13] [5, 1] ------------ = -------- [11, 13, 12] [11, 12] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 15, 0] [11, 15] [11] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 4] [15, 15] [15] ----------- = ------- [11, 15, 4] [11, 4] denominator=, [11, 16, 0] [11, 16] [11] ----------- = ------- [11, 16, 0] [11, 0] denominator=, [11, 16, 5] [16, 16] [16] ----------- = ------- [11, 16, 5] [11, 5] denominator=, [11, 16, 12] [2, 4, 16] [2, 4] ------------ = -------- [11, 16, 12] [11, 12] denominator=, [11, 17, 0] [11, 17] [11] ----------- = ------- [11, 17, 0] [11, 0] denominator=, [11, 17, 6] [17, 17] [17] ----------- = ------- [11, 17, 6] [11, 6] denominator=, [11, 17, 9] [1, 5, 17] [1, 5] ----------- = ------- [11, 17, 9] [11, 9] denominator=, [11, 17, 10] [1, 8, 17] [1, 8] ------------ = -------- [11, 17, 10] [11, 10] denominator=, [11, 17, 12] [1, 17, 17] [1, 17] ------------ = -------- [11, 17, 12] [11, 12] denominator=, [11, 17, 14] [2, 17, 17] [2, 17] ------------ = -------- [11, 17, 14] [11, 14] denominator=, [11, 17, 15] [3, 17, 17] [3, 17] ------------ = -------- [11, 17, 15] [11, 15] denominator=, [11, 17, 16] [5, 17, 17] [5, 17] ------------ = -------- [11, 17, 16] [11, 16] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 5, 4] [2, 14, 5] [2, 14] ---------- = ------- [12, 5, 4] [12, 4] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 6, 4] [1, 15, 6] [1, 15] ---------- = ------- [12, 6, 4] [12, 4] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 11, 9] [3, 1, 11] [3, 1] ----------- = ------- [12, 11, 9] [12, 9] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 15, 0] [12, 15] [12] ----------- = ------- [12, 15, 0] [12, 0] denominator=, [12, 15, 3] [15, 15] [15] ----------- = ------- [12, 15, 3] [12, 3] denominator=, [12, 16, 0] [12, 16] [12] ----------- = ------- [12, 16, 0] [12, 0] denominator=, [12, 16, 4] [16, 16] [16] ----------- = ------- [12, 16, 4] [12, 4] denominator=, [12, 16, 15] [6, 4, 16] [6, 4] ------------ = -------- [12, 16, 15] [12, 15] denominator=, [12, 17, 0] [12, 17] [12] ----------- = ------- [12, 17, 0] [12, 0] denominator=, [12, 17, 5] [17, 17] [17] ----------- = ------- [12, 17, 5] [12, 5] denominator=, [12, 17, 9] [1, 7, 17] [1, 7] ----------- = ------- [12, 17, 9] [12, 9] denominator=, [12, 17, 12] [2, 2, 17] [2, 2] ------------ = -------- [12, 17, 12] [12, 12] denominator=, [12, 17, 15] [4, 5, 17] [4, 5] ------------ = -------- [12, 17, 15] [12, 15] denominator=, [12, 17, 16] [6, 8, 17] [6, 8] ------------ = -------- [12, 17, 16] [12, 16] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 7, 6] [3, 16, 7] [3, 16] ---------- = ------- [13, 7, 6] [13, 6] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 9, 6] [2, 0, 9] [2, 0] ---------- = ------- [13, 9, 6] [13, 6] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 10, 8] [3, 1, 10] [3, 1] ----------- = ------- [13, 10, 8] [13, 8] denominator=, [13, 10, 9] [5, 0, 10] [5, 0] ----------- = ------- [13, 10, 9] [13, 9] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 13, 9] [2, 3, 13] [2, 3] ----------- = ------- [13, 13, 9] [13, 9] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 15, 0] [13, 15] [13] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 2] [15, 15] [15] ----------- = ------- [13, 15, 2] [13, 2] denominator=, [13, 16, 0] [13, 16] [13] ----------- = ------- [13, 16, 0] [13, 0] denominator=, [13, 16, 3] [16, 16] [16] ----------- = ------- [13, 16, 3] [13, 3] denominator=, [13, 17, 0] [13, 17] [13] ----------- = ------- [13, 17, 0] [13, 0] denominator=, [13, 17, 4] [17, 17] [17] ----------- = ------- [13, 17, 4] [13, 4] denominator=, [13, 17, 6] [1, 2, 17] [1, 2] ----------- = ------- [13, 17, 6] [13, 6] denominator=, [13, 17, 9] [1, 9, 17] [1, 9] ----------- = ------- [13, 17, 9] [13, 9] denominator=, [13, 17, 11] [1, 17, 17] [1, 17] ------------ = -------- [13, 17, 11] [13, 11] denominator=, [13, 17, 12] [2, 5, 17] [2, 5] ------------ = -------- [13, 17, 12] [13, 12] denominator=, [13, 17, 14] [3, 8, 17] [3, 8] ------------ = -------- [13, 17, 14] [13, 14] denominator=, [13, 17, 15] [4, 11, 17] [4, 11] ------------ = -------- [13, 17, 15] [13, 15] denominator=, [13, 17, 16] [6, 17, 17] [6, 17] ------------ = -------- [13, 17, 16] [13, 16] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 9, 8] [5, 0, 9] [5, 0] ---------- = ------- [14, 9, 8] [14, 8] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 12, 8] [2, 3, 12] [2, 3] ----------- = ------- [14, 12, 8] [14, 8] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 14, 12] [4, 5, 14] [4, 5] ------------ = -------- [14, 14, 12] [14, 12] denominator=, [14, 15, 0] [14, 15] [14] ----------- = ------- [14, 15, 0] [14, 0] denominator=, [14, 15, 1] [15, 15] [15] ----------- = ------- [14, 15, 1] [14, 1] denominator=, [14, 15, 12] [3, 6, 15] [3, 6] ------------ = -------- [14, 15, 12] [14, 12] denominator=, [14, 16, 0] [14, 16] [14] ----------- = ------- [14, 16, 0] [14, 0] denominator=, [14, 16, 2] [16, 16] [16] ----------- = ------- [14, 16, 2] [14, 2] denominator=, [14, 17, 0] [14, 17] [14] ----------- = ------- [14, 17, 0] [14, 0] denominator=, [14, 17, 3] [17, 17] [17] ----------- = ------- [14, 17, 3] [14, 3] denominator=, [14, 17, 8] [1, 8, 17] [1, 8] ----------- = ------- [14, 17, 8] [14, 8] denominator=, [14, 17, 9] [1, 11, 17] [1, 11] ----------- = ------- [14, 17, 9] [14, 9] denominator=, [14, 17, 12] [2, 8, 17] [2, 8] ------------ = -------- [14, 17, 12] [14, 12] denominator=, [14, 17, 13] [2, 17, 17] [2, 17] ------------ = -------- [14, 17, 13] [14, 13] denominator=, [14, 17, 15] [4, 17, 17] [4, 17] ------------ = -------- [14, 17, 15] [14, 15] denominator=, [14, 17, 16] [7, 8, 17] [7, 8] ------------ = -------- [14, 17, 16] [14, 16] denominator=, [15, 1, 0] [15, 1] [15] ---------- = ------- [15, 1, 0] [15, 0] denominator=, [15, 2, 0] [15, 2] [15] ---------- = ------- [15, 2, 0] [15, 0] denominator=, [15, 3, 0] [15, 3] [15] ---------- = ------- [15, 3, 0] [15, 0] denominator=, [15, 4, 0] [15, 4] [15] ---------- = ------- [15, 4, 0] [15, 0] denominator=, [15, 4, 3] [2, 16, 4] [2, 16] ---------- = ------- [15, 4, 3] [15, 3] denominator=, [15, 5, 0] [15, 5] [15] ---------- = ------- [15, 5, 0] [15, 0] denominator=, [15, 5, 3] [1, 17, 5] [1, 17] ---------- = ------- [15, 5, 3] [15, 3] denominator=, [15, 6, 0] [15, 6] [15] ---------- = ------- [15, 6, 0] [15, 0] denominator=, [15, 7, 0] [15, 7] [15] ---------- = ------- [15, 7, 0] [15, 0] denominator=, [15, 8, 0] [15, 8] [15] ---------- = ------- [15, 8, 0] [15, 0] denominator=, [15, 9, 0] [15, 9] [15] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 10, 0] [15, 10] [15] ----------- = ------- [15, 10, 0] [15, 0] denominator=, [15, 11, 0] [15, 11] [15] ----------- = ------- [15, 11, 0] [15, 0] denominator=, [15, 11, 10] [6, 2, 11] [6, 2] ------------ = -------- [15, 11, 10] [15, 10] denominator=, [15, 12, 0] [15, 12] [15] ----------- = ------- [15, 12, 0] [15, 0] denominator=, [15, 13, 0] [15, 13] [15] ----------- = ------- [15, 13, 0] [15, 0] denominator=, [15, 14, 0] [15, 14] [15] ----------- = ------- [15, 14, 0] [15, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 10] [2, 6, 15] [2, 6] ------------ = -------- [15, 15, 10] [15, 10] denominator=, [15, 16, 0] [15, 16] [15] ----------- = ------- [15, 16, 0] [15, 0] denominator=, [15, 16, 1] [16, 16] [16] ----------- = ------- [15, 16, 1] [15, 1] denominator=, [15, 17, 0] [15, 17] [15] ----------- = ------- [15, 17, 0] [15, 0] denominator=, [15, 17, 2] [17, 17] [17] ----------- = ------- [15, 17, 2] [15, 2] denominator=, [15, 17, 6] [1, 5, 17] [1, 5] ----------- = ------- [15, 17, 6] [15, 6] denominator=, [15, 17, 9] [1, 13, 17] [1, 13] ----------- = ------- [15, 17, 9] [15, 9] denominator=, [15, 17, 10] [1, 17, 17] [1, 17] ------------ = -------- [15, 17, 10] [15, 10] denominator=, [15, 17, 12] [2, 11, 17] [2, 11] ------------ = -------- [15, 17, 12] [15, 12] denominator=, [15, 17, 14] [3, 17, 17] [3, 17] ------------ = -------- [15, 17, 14] [15, 14] denominator=, [15, 17, 15] [5, 5, 17] [5, 5] ------------ = -------- [15, 17, 15] [15, 15] denominator=, [15, 17, 16] [7, 17, 17] [7, 17] ------------ = -------- [15, 17, 16] [15, 16] denominator=, [16, 1, 0] [16, 1] [16] ---------- = ------- [16, 1, 0] [16, 0] denominator=, [16, 2, 0] [16, 2] [16] ---------- = ------- [16, 2, 0] [16, 0] denominator=, [16, 3, 0] [16, 3] [16] ---------- = ------- [16, 3, 0] [16, 0] denominator=, [16, 4, 0] [16, 4] [16] ---------- = ------- [16, 4, 0] [16, 0] denominator=, [16, 5, 0] [16, 5] [16] ---------- = ------- [16, 5, 0] [16, 0] denominator=, [16, 6, 0] [16, 6] [16] ---------- = ------- [16, 6, 0] [16, 0] denominator=, [16, 7, 0] [16, 7] [16] ---------- = ------- [16, 7, 0] [16, 0] denominator=, [16, 8, 0] [16, 8] [16] ---------- = ------- [16, 8, 0] [16, 0] denominator=, [16, 8, 6] [3, 2, 8] [3, 2] ---------- = ------- [16, 8, 6] [16, 6] denominator=, [16, 9, 0] [16, 9] [16] ---------- = ------- [16, 9, 0] [16, 0] denominator=, [16, 10, 0] [16, 10] [16] ----------- = ------- [16, 10, 0] [16, 0] denominator=, [16, 10, 9] [6, 2, 10] [6, 2] ----------- = ------- [16, 10, 9] [16, 9] denominator=, [16, 11, 0] [16, 11] [16] ----------- = ------- [16, 11, 0] [16, 0] denominator=, [16, 12, 0] [16, 12] [16] ----------- = ------- [16, 12, 0] [16, 0] denominator=, [16, 13, 0] [16, 13] [16] ----------- = ------- [16, 13, 0] [16, 0] denominator=, [16, 13, 12] [7, 4, 13] [7, 4] ------------ = -------- [16, 13, 12] [16, 12] denominator=, [16, 14, 0] [16, 14] [16] ----------- = ------- [16, 14, 0] [16, 0] denominator=, [16, 14, 9] [2, 6, 14] [2, 6] ----------- = ------- [16, 14, 9] [16, 9] denominator=, [16, 15, 0] [16, 15] [16] ----------- = ------- [16, 15, 0] [16, 0] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [16, 17, 0] [16, 17] [16] ----------- = ------- [16, 17, 0] [16, 0] denominator=, [16, 17, 1] [17, 17] [17] ----------- = ------- [16, 17, 1] [16, 1] denominator=, [16, 17, 9] [1, 15, 17] [1, 15] ----------- = ------- [16, 17, 9] [16, 9] denominator=, [16, 17, 12] [2, 14, 17] [2, 14] ------------ = -------- [16, 17, 12] [16, 12] denominator=, [16, 17, 15] [5, 11, 17] [5, 11] ------------ = -------- [16, 17, 15] [16, 15] denominator=, [16, 17, 16] [8, 8, 17] [8, 8] ------------ = -------- [16, 17, 16] [16, 16] denominator=, [17, 1, 0] [17, 1] [17] ---------- = ------- [17, 1, 0] [17, 0] denominator=, [17, 2, 0] [17, 2] [17] ---------- = ------- [17, 2, 0] [17, 0] denominator=, [17, 3, 0] [17, 3] [17] ---------- = ------- [17, 3, 0] [17, 0] denominator=, [17, 4, 0] [17, 4] [17] ---------- = ------- [17, 4, 0] [17, 0] denominator=, [17, 5, 0] [17, 5] [17] ---------- = ------- [17, 5, 0] [17, 0] denominator=, [17, 6, 0] [17, 6] [17] ---------- = ------- [17, 6, 0] [17, 0] denominator=, [17, 7, 0] [17, 7] [17] ---------- = ------- [17, 7, 0] [17, 0] denominator=, [17, 7, 6] [5, 1, 7] [5, 1] ---------- = ------- [17, 7, 6] [17, 6] denominator=, [17, 8, 0] [17, 8] [17] ---------- = ------- [17, 8, 0] [17, 0] denominator=, [17, 9, 0] [17, 9] [17] ---------- = ------- [17, 9, 0] [17, 0] denominator=, [17, 10, 0] [17, 10] [17] ----------- = ------- [17, 10, 0] [17, 0] denominator=, [17, 10, 6] [2, 4, 10] [2, 4] ----------- = ------- [17, 10, 6] [17, 6] denominator=, [17, 11, 0] [17, 11] [17] ----------- = ------- [17, 11, 0] [17, 0] denominator=, [17, 11, 9] [4, 5, 11] [4, 5] ----------- = ------- [17, 11, 9] [17, 9] denominator=, [17, 12, 0] [17, 12] [17] ----------- = ------- [17, 12, 0] [17, 0] denominator=, [17, 12, 9] [3, 6, 12] [3, 6] ----------- = ------- [17, 12, 9] [17, 9] denominator=, [17, 13, 0] [17, 13] [17] ----------- = ------- [17, 13, 0] [17, 0] denominator=, [17, 14, 0] [17, 14] [17] ----------- = ------- [17, 14, 0] [17, 0] denominator=, [17, 15, 0] [17, 15] [17] ----------- = ------- [17, 15, 0] [17, 0] denominator=, [17, 15, 14] [8, 6, 15] [8, 6] ------------ = -------- [17, 15, 14] [17, 14] denominator=, [17, 16, 0] [17, 16] [17] ----------- = ------- [17, 16, 0] [17, 0] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [17, 17, 6] [1, 8, 17] [1, 8] ----------- = ------- [17, 17, 6] [17, 6] denominator=, [17, 17, 9] [1, 17, 17] [1, 17] ----------- = ------- [17, 17, 9] [17, 9] denominator=, [17, 17, 12] [2, 17, 17] [2, 17] ------------ = -------- [17, 17, 12] [17, 12] denominator=, [17, 17, 14] [4, 8, 17] [4, 8] ------------ = -------- [17, 17, 14] [17, 14] denominator=, [17, 17, 15] [5, 17, 17] [5, 17] ------------ = -------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [8, 17, 17] [8, 17] ------------ = -------- [17, 17, 16] [17, 16] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 17, 0] [17, 9] [9] ---------- = ------ [1, 17, 0] [1, 0] denominator=, [1, 17, 2] [17, 10] [10] ---------- = ------ [1, 17, 2] [1, 2] denominator=, [1, 17, 4] [17, 11] [11] ---------- = ------ [1, 17, 4] [1, 4] denominator=, [1, 17, 6] [17, 12] [12] ---------- = ------ [1, 17, 6] [1, 6] [2, 17, 0] [2, 0] ---------- = ------ [1, 17, 6] [1, 6] denominator=, [1, 17, 8] [17, 13] [13] ---------- = ------ [1, 17, 8] [1, 8] [2, 17, 3] [2, 3] ---------- = ------ [1, 17, 8] [1, 8] denominator=, [1, 17, 10] [17, 14] [14] ----------- = ------- [1, 17, 10] [1, 10] [2, 17, 6] [2, 6] ----------- = ------- [1, 17, 10] [1, 10] denominator=, [1, 17, 12] [17, 15] [15] ----------- = ------- [1, 17, 12] [1, 12] [2, 17, 9] [2, 9] ----------- = ------- [1, 17, 12] [1, 12] [4, 17, 3] [4, 3] ----------- = ------- [1, 17, 12] [1, 12] denominator=, [1, 17, 14] [17, 16] [16] ----------- = ------- [1, 17, 14] [1, 14] [2, 17, 12] [2, 12] ----------- = ------- [1, 17, 14] [1, 14] [4, 17, 8] [4, 8] ----------- = ------- [1, 17, 14] [1, 14] [6, 17, 4] [6, 4] ----------- = ------- [1, 17, 14] [1, 14] [8, 17, 0] [8, 0] ----------- = ------- [1, 17, 14] [1, 14] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [2, 16, 16] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [2, 17, 0] [17, 12] [12] ---------- = ------ [2, 17, 0] [2, 0] [1, 17, 6] [1, 6] ---------- = ------ [2, 17, 0] [2, 0] denominator=, [2, 17, 3] [17, 13] [13] ---------- = ------ [2, 17, 3] [2, 3] [1, 17, 8] [1, 8] ---------- = ------ [2, 17, 3] [2, 3] denominator=, [2, 17, 6] [17, 14] [14] ---------- = ------ [2, 17, 6] [2, 6] [1, 17, 10] [1, 10] ----------- = ------- [2, 17, 6] [2, 6] [3, 17, 2] [3, 2] ---------- = ------ [2, 17, 6] [2, 6] denominator=, [2, 17, 9] [17, 15] [15] ---------- = ------ [2, 17, 9] [2, 9] [1, 17, 12] [1, 12] ----------- = ------- [2, 17, 9] [2, 9] [3, 17, 6] [3, 6] ---------- = ------ [2, 17, 9] [2, 9] [4, 17, 3] [4, 3] ---------- = ------ [2, 17, 9] [2, 9] denominator=, [2, 17, 12] [17, 16] [16] ----------- = ------- [2, 17, 12] [2, 12] [1, 17, 14] [1, 14] ----------- = ------- [2, 17, 12] [2, 12] [3, 17, 10] [3, 10] ----------- = ------- [2, 17, 12] [2, 12] [4, 17, 8] [4, 8] ----------- = ------- [2, 17, 12] [2, 12] [6, 17, 4] [6, 4] ----------- = ------- [2, 17, 12] [2, 12] [7, 17, 2] [7, 2] ----------- = ------- [2, 17, 12] [2, 12] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [3, 17, 0] [1, 17, 9] [1, 9] ---------- = ------ [3, 17, 0] [3, 0] denominator=, [3, 17, 2] [17, 14] [14] ---------- = ------ [3, 17, 2] [3, 2] [1, 17, 10] [1, 10] ----------- = ------- [3, 17, 2] [3, 2] [2, 17, 6] [2, 6] ---------- = ------ [3, 17, 2] [3, 2] denominator=, [3, 17, 4] [1, 17, 11] [1, 11] ----------- = ------- [3, 17, 4] [3, 4] denominator=, [3, 17, 6] [17, 15] [15] ---------- = ------ [3, 17, 6] [3, 6] [1, 17, 12] [1, 12] ----------- = ------- [3, 17, 6] [3, 6] [2, 17, 9] [2, 9] ---------- = ------ [3, 17, 6] [3, 6] [4, 17, 3] [4, 3] ---------- = ------ [3, 17, 6] [3, 6] [5, 17, 0] [5, 0] ---------- = ------ [3, 17, 6] [3, 6] denominator=, [3, 17, 8] [1, 17, 13] [1, 13] ----------- = ------- [3, 17, 8] [3, 8] [5, 17, 3] [5, 3] ---------- = ------ [3, 17, 8] [3, 8] denominator=, [3, 17, 10] [17, 16] [16] ----------- = ------- [3, 17, 10] [3, 10] [1, 17, 14] [1, 14] ----------- = ------- [3, 17, 10] [3, 10] [2, 17, 12] [2, 12] ----------- = ------- [3, 17, 10] [3, 10] [4, 17, 8] [4, 8] ----------- = ------- [3, 17, 10] [3, 10] [5, 17, 6] [5, 6] ----------- = ------- [3, 17, 10] [3, 10] [6, 17, 4] [6, 4] ----------- = ------- [3, 17, 10] [3, 10] [8, 17, 0] [8, 0] ----------- = ------- [3, 17, 10] [3, 10] denominator=, [3, 17, 12] [1, 17, 15] [1, 15] ----------- = ------- [3, 17, 12] [3, 12] [5, 17, 9] [5, 9] ----------- = ------- [3, 17, 12] [3, 12] [9, 17, 3] [9, 3] ----------- = ------- [3, 17, 12] [3, 12] denominator=, [3, 17, 16] [1, 17, 17] [1, 17] ----------- = ------- [3, 17, 16] [3, 16] [5, 17, 15] [5, 15] ----------- = ------- [3, 17, 16] [3, 16] [9, 17, 13] [9, 13] ----------- = ------- [3, 17, 16] [3, 16] [13, 17, 11] [13, 11] ------------ = -------- [3, 17, 16] [3, 16] [17, 17, 9] [17, 9] ----------- = ------- [3, 17, 16] [3, 16] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [3, 17, 16] [3, 16] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [3, 17, 16] [3, 16] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [3, 17, 16] [3, 16] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [3, 17, 16] [3, 16] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 9] [1, 12, 10, 0] [1, 12, 0] -------------- = ---------- [4, 10, 9] [4, 9] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 13, 12] [1, 13, 13, 2] [1, 13, 2] -------------- = ---------- [4, 13, 12] [4, 12] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [4, 16, 15] [1, 14, 16, 4] [1, 14, 4] -------------- = ---------- [4, 16, 15] [4, 15] denominator=, [4, 16, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] denominator=, [4, 17, 3] [17, 15] [15] ---------- = ------ [4, 17, 3] [4, 3] [1, 17, 12] [1, 12] ----------- = ------- [4, 17, 3] [4, 3] [2, 17, 9] [2, 9] ---------- = ------ [4, 17, 3] [4, 3] [3, 17, 6] [3, 6] ---------- = ------ [4, 17, 3] [4, 3] [5, 17, 0] [5, 0] ---------- = ------ [4, 17, 3] [4, 3] denominator=, [4, 17, 8] [17, 16] [16] ---------- = ------ [4, 17, 8] [4, 8] [1, 17, 14] [1, 14] ----------- = ------- [4, 17, 8] [4, 8] [2, 17, 12] [2, 12] ----------- = ------- [4, 17, 8] [4, 8] [3, 17, 10] [3, 10] ----------- = ------- [4, 17, 8] [4, 8] [5, 17, 6] [5, 6] ---------- = ------ [4, 17, 8] [4, 8] [6, 17, 4] [6, 4] ---------- = ------ [4, 17, 8] [4, 8] [7, 17, 2] [7, 2] ---------- = ------ [4, 17, 8] [4, 8] [8, 17, 0] [8, 0] ---------- = ------ [4, 17, 8] [4, 8] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 7, 6] [1, 10, 7, 0] [1, 10, 0] ------------- = ---------- [5, 7, 6] [5, 6] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 11, 10] [1, 11, 11, 3] [1, 11, 3] -------------- = ---------- [5, 11, 10] [5, 10] denominator=, [5, 15, 14] [1, 12, 15, 6] [1, 12, 6] -------------- = ---------- [5, 15, 14] [5, 14] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [5, 17, 0] [17, 15] [15] ---------- = ------ [5, 17, 0] [5, 0] [1, 17, 12] [1, 12] ----------- = ------- [5, 17, 0] [5, 0] [2, 17, 9] [2, 9] ---------- = ------ [5, 17, 0] [5, 0] [3, 17, 6] [3, 6] ---------- = ------ [5, 17, 0] [5, 0] [4, 17, 3] [4, 3] ---------- = ------ [5, 17, 0] [5, 0] denominator=, [5, 17, 2] [2, 17, 10] [2, 10] ----------- = ------- [5, 17, 2] [5, 2] denominator=, [5, 17, 3] [1, 17, 13] [1, 13] ----------- = ------- [5, 17, 3] [5, 3] [3, 17, 8] [3, 8] ---------- = ------ [5, 17, 3] [5, 3] denominator=, [5, 17, 4] [2, 17, 11] [2, 11] ----------- = ------- [5, 17, 4] [5, 4] denominator=, [5, 17, 6] [17, 16] [16] ---------- = ------ [5, 17, 6] [5, 6] [1, 17, 14] [1, 14] ----------- = ------- [5, 17, 6] [5, 6] [2, 17, 12] [2, 12] ----------- = ------- [5, 17, 6] [5, 6] [3, 17, 10] [3, 10] ----------- = ------- [5, 17, 6] [5, 6] [4, 17, 8] [4, 8] ---------- = ------ [5, 17, 6] [5, 6] [6, 17, 4] [6, 4] ---------- = ------ [5, 17, 6] [5, 6] [7, 17, 2] [7, 2] ---------- = ------ [5, 17, 6] [5, 6] [8, 17, 0] [8, 0] ---------- = ------ [5, 17, 6] [5, 6] denominator=, [5, 17, 8] [2, 17, 13] [2, 13] ----------- = ------- [5, 17, 8] [5, 8] [8, 17, 3] [8, 3] ---------- = ------ [5, 17, 8] [5, 8] denominator=, [5, 17, 9] [1, 17, 15] [1, 15] ----------- = ------- [5, 17, 9] [5, 9] [3, 17, 12] [3, 12] ----------- = ------- [5, 17, 9] [5, 9] [7, 17, 6] [7, 6] ---------- = ------ [5, 17, 9] [5, 9] [9, 17, 3] [9, 3] ---------- = ------ [5, 17, 9] [5, 9] denominator=, [5, 17, 10] [2, 17, 14] [2, 14] ----------- = ------- [5, 17, 10] [5, 10] [8, 17, 6] [8, 6] ----------- = ------- [5, 17, 10] [5, 10] denominator=, [5, 17, 14] [2, 17, 16] [2, 16] ----------- = ------- [5, 17, 14] [5, 14] [8, 17, 12] [8, 12] ----------- = ------- [5, 17, 14] [5, 14] [14, 17, 8] [14, 8] ----------- = ------- [5, 17, 14] [5, 14] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [5, 17, 14] [5, 14] [1, 8, 17, 0] [1, 8, 0] ------------- = --------- [5, 17, 14] [5, 14] denominator=, [5, 17, 15] [1, 17, 17] [1, 17] ----------- = ------- [5, 17, 15] [5, 15] [3, 17, 16] [3, 16] ----------- = ------- [5, 17, 15] [5, 15] [7, 17, 14] [7, 14] ----------- = ------- [5, 17, 15] [5, 15] [9, 17, 13] [9, 13] ----------- = ------- [5, 17, 15] [5, 15] [13, 17, 11] [13, 11] ------------ = -------- [5, 17, 15] [5, 15] [15, 17, 10] [15, 10] ------------ = -------- [5, 17, 15] [5, 15] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [5, 17, 15] [5, 15] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [5, 17, 15] [5, 15] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [5, 17, 15] [5, 15] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [5, 17, 15] [5, 15] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [5, 17, 15] [5, 15] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [5, 17, 15] [5, 15] denominator=, [5, 17, 16] [2, 17, 17] [2, 17] ----------- = ------- [5, 17, 16] [5, 16] [8, 17, 15] [8, 15] ----------- = ------- [5, 17, 16] [5, 16] [14, 17, 13] [14, 13] ------------ = -------- [5, 17, 16] [5, 16] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [5, 17, 16] [5, 16] [1, 8, 17, 9] [1, 8, 9] ------------- = --------- [5, 17, 16] [5, 16] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [5, 17, 16] [5, 16] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [5, 17, 16] [5, 16] [2, 8, 17, 3] [2, 8, 3] ------------- = --------- [5, 17, 16] [5, 16] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [5, 17, 16] [5, 16] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 7] [1, 10, 8, 2] [1, 10, 2] ------------- = ---------- [6, 8, 7] [6, 7] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 13, 12] [1, 11, 13, 6] [1, 11, 6] -------------- = ---------- [6, 13, 12] [6, 12] [2, 16, 13, 0] [2, 16, 0] -------------- = ---------- [6, 13, 12] [6, 12] denominator=, [6, 14, 12] [1, 17, 14, 0] [1, 17, 0] -------------- = ---------- [6, 14, 12] [6, 12] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [6, 16, 16] [3, 11, 16, 8] [3, 11, 8] -------------- = ---------- [6, 16, 16] [6, 16] denominator=, [6, 17, 4] [17, 16] [16] ---------- = ------ [6, 17, 4] [6, 4] [1, 17, 14] [1, 14] ----------- = ------- [6, 17, 4] [6, 4] [2, 17, 12] [2, 12] ----------- = ------- [6, 17, 4] [6, 4] [3, 17, 10] [3, 10] ----------- = ------- [6, 17, 4] [6, 4] [4, 17, 8] [4, 8] ---------- = ------ [6, 17, 4] [6, 4] [5, 17, 6] [5, 6] ---------- = ------ [6, 17, 4] [6, 4] [7, 17, 2] [7, 2] ---------- = ------ [6, 17, 4] [6, 4] [8, 17, 0] [8, 0] ---------- = ------ [6, 17, 4] [6, 4] denominator=, [7, 7, 6] [1, 10, 7, 2] [1, 10, 2] ------------- = ---------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 10, 9] [2, 14, 10, 0] [2, 14, 0] -------------- = ---------- [7, 10, 9] [7, 9] denominator=, [7, 11, 9] [1, 15, 11, 0] [1, 15, 0] -------------- = ---------- [7, 11, 9] [7, 9] denominator=, [7, 13, 12] [1, 11, 13, 7] [1, 11, 7] -------------- = ---------- [7, 13, 12] [7, 12] [2, 15, 13, 2] [2, 15, 2] -------------- = ---------- [7, 13, 12] [7, 12] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [7, 16, 14] [1, 16, 16, 4] [1, 16, 4] -------------- = ---------- [7, 16, 14] [7, 14] denominator=, [7, 16, 15] [2, 16, 16, 4] [2, 16, 4] -------------- = ---------- [7, 16, 15] [7, 15] denominator=, [7, 17, 0] [3, 17, 9] [3, 9] ---------- = ------ [7, 17, 0] [7, 0] denominator=, [7, 17, 2] [17, 16] [16] ---------- = ------ [7, 17, 2] [7, 2] [1, 17, 14] [1, 14] ----------- = ------- [7, 17, 2] [7, 2] [2, 17, 12] [2, 12] ----------- = ------- [7, 17, 2] [7, 2] [3, 17, 10] [3, 10] ----------- = ------- [7, 17, 2] [7, 2] [4, 17, 8] [4, 8] ---------- = ------ [7, 17, 2] [7, 2] [5, 17, 6] [5, 6] ---------- = ------ [7, 17, 2] [7, 2] [6, 17, 4] [6, 4] ---------- = ------ [7, 17, 2] [7, 2] [8, 17, 0] [8, 0] ---------- = ------ [7, 17, 2] [7, 2] denominator=, [7, 17, 4] [3, 17, 11] [3, 11] ----------- = ------- [7, 17, 4] [7, 4] denominator=, [7, 17, 6] [1, 17, 15] [1, 15] ----------- = ------- [7, 17, 6] [7, 6] [3, 17, 12] [3, 12] ----------- = ------- [7, 17, 6] [7, 6] [5, 17, 9] [5, 9] ---------- = ------ [7, 17, 6] [7, 6] [9, 17, 3] [9, 3] ---------- = ------ [7, 17, 6] [7, 6] [11, 17, 0] [11, 0] ----------- = ------- [7, 17, 6] [7, 6] denominator=, [7, 17, 8] [3, 17, 13] [3, 13] ----------- = ------- [7, 17, 8] [7, 8] [11, 17, 3] [11, 3] ----------- = ------- [7, 17, 8] [7, 8] denominator=, [7, 17, 12] [3, 17, 15] [3, 15] ----------- = ------- [7, 17, 12] [7, 12] [11, 17, 9] [11, 9] ----------- = ------- [7, 17, 12] [7, 12] [1, 1, 17, 3] [1, 1, 3] ------------- = --------- [7, 17, 12] [7, 12] denominator=, [7, 17, 14] [1, 17, 17] [1, 17] ----------- = ------- [7, 17, 14] [7, 14] [3, 17, 16] [3, 16] ----------- = ------- [7, 17, 14] [7, 14] [5, 17, 15] [5, 15] ----------- = ------- [7, 17, 14] [7, 14] [9, 17, 13] [9, 13] ----------- = ------- [7, 17, 14] [7, 14] [11, 17, 12] [11, 12] ------------ = -------- [7, 17, 14] [7, 14] [13, 17, 11] [13, 11] ------------ = -------- [7, 17, 14] [7, 14] [17, 17, 9] [17, 9] ----------- = ------- [7, 17, 14] [7, 14] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [7, 17, 14] [7, 14] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [7, 17, 14] [7, 14] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [7, 17, 14] [7, 14] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [7, 17, 14] [7, 14] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [7, 17, 14] [7, 14] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [7, 17, 14] [7, 14] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [7, 17, 14] [7, 14] denominator=, [7, 17, 16] [3, 17, 17] [3, 17] ----------- = ------- [7, 17, 16] [7, 16] [11, 17, 15] [11, 15] ------------ = -------- [7, 17, 16] [7, 16] [1, 1, 17, 13] [1, 1, 13] -------------- = ---------- [7, 17, 16] [7, 16] [1, 9, 17, 11] [1, 9, 11] -------------- = ---------- [7, 17, 16] [7, 16] [1, 17, 17, 9] [1, 17, 9] -------------- = ---------- [7, 17, 16] [7, 16] [2, 7, 17, 7] [2, 7, 7] ------------- = --------- [7, 17, 16] [7, 16] [2, 15, 17, 5] [2, 15, 5] -------------- = ---------- [7, 17, 16] [7, 16] [3, 5, 17, 3] [3, 5, 3] ------------- = --------- [7, 17, 16] [7, 16] [3, 13, 17, 1] [3, 13, 1] -------------- = ---------- [7, 17, 16] [7, 16] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 4, 3] [1, 10, 4, 0] [1, 10, 0] ------------- = ---------- [8, 4, 3] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 11, 10] [1, 11, 11, 6] [1, 11, 6] -------------- = ---------- [8, 11, 10] [8, 10] [2, 14, 11, 2] [2, 14, 2] -------------- = ---------- [8, 11, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 12] [1, 15, 14, 4] [1, 15, 4] -------------- = ---------- [8, 14, 12] [8, 12] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 16, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 12, 16, 8] [4, 12, 8] -------------- = ---------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] denominator=, [8, 17, 0] [17, 16] [16] ---------- = ------ [8, 17, 0] [8, 0] [1, 17, 14] [1, 14] ----------- = ------- [8, 17, 0] [8, 0] [2, 17, 12] [2, 12] ----------- = ------- [8, 17, 0] [8, 0] [3, 17, 10] [3, 10] ----------- = ------- [8, 17, 0] [8, 0] [4, 17, 8] [4, 8] ---------- = ------ [8, 17, 0] [8, 0] [5, 17, 6] [5, 6] ---------- = ------ [8, 17, 0] [8, 0] [6, 17, 4] [6, 4] ---------- = ------ [8, 17, 0] [8, 0] [7, 17, 2] [7, 2] ---------- = ------ [8, 17, 0] [8, 0] denominator=, [8, 17, 3] [2, 17, 13] [2, 13] ----------- = ------- [8, 17, 3] [8, 3] [5, 17, 8] [5, 8] ---------- = ------ [8, 17, 3] [8, 3] denominator=, [8, 17, 6] [2, 17, 14] [2, 14] ----------- = ------- [8, 17, 6] [8, 6] [5, 17, 10] [5, 10] ----------- = ------- [8, 17, 6] [8, 6] [11, 17, 2] [11, 2] ----------- = ------- [8, 17, 6] [8, 6] denominator=, [8, 17, 12] [2, 17, 16] [2, 16] ----------- = ------- [8, 17, 12] [8, 12] [5, 17, 14] [5, 14] ----------- = ------- [8, 17, 12] [8, 12] [11, 17, 10] [11, 10] ------------ = -------- [8, 17, 12] [8, 12] [14, 17, 8] [14, 8] ----------- = ------- [8, 17, 12] [8, 12] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [8, 17, 12] [8, 12] [1, 5, 17, 2] [1, 5, 2] ------------- = --------- [8, 17, 12] [8, 12] denominator=, [8, 17, 15] [2, 17, 17] [2, 17] ----------- = ------- [8, 17, 15] [8, 15] [5, 17, 16] [5, 16] ----------- = ------- [8, 17, 15] [8, 15] [11, 17, 14] [11, 14] ------------ = -------- [8, 17, 15] [8, 15] [14, 17, 13] [14, 13] ------------ = -------- [8, 17, 15] [8, 15] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [8, 17, 15] [8, 15] [1, 5, 17, 10] [1, 5, 10] -------------- = ---------- [8, 17, 15] [8, 15] [1, 11, 17, 8] [1, 11, 8] -------------- = ---------- [8, 17, 15] [8, 15] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [8, 17, 15] [8, 15] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [8, 17, 15] [8, 15] [2, 5, 17, 4] [2, 5, 4] ------------- = --------- [8, 17, 15] [8, 15] [2, 11, 17, 2] [2, 11, 2] -------------- = ---------- [8, 17, 15] [8, 15] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [8, 17, 15] [8, 15] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 7, 6] [1, 11, 7, 3] [1, 11, 3] ------------- = ---------- [9, 7, 6] [9, 6] [2, 13, 7, 0] [2, 13, 0] ------------- = ---------- [9, 7, 6] [9, 6] denominator=, [9, 8, 6] [1, 14, 8, 0] [1, 14, 0] ------------- = ---------- [9, 8, 6] [9, 6] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 10] [2, 14, 11, 3] [2, 14, 3] -------------- = ---------- [9, 11, 10] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 15, 12] [2, 1, 15, 1] [2, 1, 1] ------------- = --------- [9, 15, 12] [9, 12] denominator=, [9, 15, 13] [1, 15, 15, 6] [1, 15, 6] -------------- = ---------- [9, 15, 13] [9, 13] denominator=, [9, 15, 14] [1, 12, 15, 10] [1, 12, 10] --------------- = ----------- [9, 15, 14] [9, 14] [2, 15, 15, 6] [2, 15, 6] -------------- = ---------- [9, 15, 14] [9, 14] [4, 0, 15, 2] [4, 0, 2] ------------- = --------- [9, 15, 14] [9, 14] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [9, 17, 0] [4, 17, 9] [4, 9] ---------- = ------ [9, 17, 0] [9, 0] denominator=, [9, 17, 2] [4, 17, 10] [4, 10] ----------- = ------- [9, 17, 2] [9, 2] denominator=, [9, 17, 3] [1, 17, 15] [1, 15] ----------- = ------- [9, 17, 3] [9, 3] [3, 17, 12] [3, 12] ----------- = ------- [9, 17, 3] [9, 3] [5, 17, 9] [5, 9] ---------- = ------ [9, 17, 3] [9, 3] [7, 17, 6] [7, 6] ---------- = ------ [9, 17, 3] [9, 3] [11, 17, 0] [11, 0] ----------- = ------- [9, 17, 3] [9, 3] denominator=, [9, 17, 4] [4, 17, 11] [4, 11] ----------- = ------- [9, 17, 4] [9, 4] denominator=, [9, 17, 6] [4, 17, 12] [4, 12] ----------- = ------- [9, 17, 6] [9, 6] [14, 17, 0] [14, 0] ----------- = ------- [9, 17, 6] [9, 6] denominator=, [9, 17, 10] [4, 17, 14] [4, 14] ----------- = ------- [9, 17, 10] [9, 10] [14, 17, 6] [14, 6] ----------- = ------- [9, 17, 10] [9, 10] denominator=, [9, 17, 12] [4, 17, 15] [4, 15] ----------- = ------- [9, 17, 12] [9, 12] [14, 17, 9] [14, 9] ----------- = ------- [9, 17, 12] [9, 12] [1, 6, 17, 3] [1, 6, 3] ------------- = --------- [9, 17, 12] [9, 12] denominator=, [9, 17, 13] [1, 17, 17] [1, 17] ----------- = ------- [9, 17, 13] [9, 13] [3, 17, 16] [3, 16] ----------- = ------- [9, 17, 13] [9, 13] [5, 17, 15] [5, 15] ----------- = ------- [9, 17, 13] [9, 13] [7, 17, 14] [7, 14] ----------- = ------- [9, 17, 13] [9, 13] [11, 17, 12] [11, 12] ------------ = -------- [9, 17, 13] [9, 13] [13, 17, 11] [13, 11] ------------ = -------- [9, 17, 13] [9, 13] [15, 17, 10] [15, 10] ------------ = -------- [9, 17, 13] [9, 13] [17, 17, 9] [17, 9] ----------- = ------- [9, 17, 13] [9, 13] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [9, 17, 13] [9, 13] [1, 5, 17, 6] [1, 5, 6] ------------- = --------- [9, 17, 13] [9, 13] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [9, 17, 13] [9, 13] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [9, 17, 13] [9, 13] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [9, 17, 13] [9, 13] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [9, 17, 13] [9, 13] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [9, 17, 13] [9, 13] denominator=, [9, 17, 14] [4, 17, 16] [4, 16] ----------- = ------- [9, 17, 14] [9, 14] [14, 17, 12] [14, 12] ------------ = -------- [9, 17, 14] [9, 14] [1, 6, 17, 8] [1, 6, 8] ------------- = --------- [9, 17, 14] [9, 14] [1, 16, 17, 4] [1, 16, 4] -------------- = ---------- [9, 17, 14] [9, 14] [2, 8, 17, 0] [2, 8, 0] ------------- = --------- [9, 17, 14] [9, 14] denominator=, [9, 17, 16] [4, 17, 17] [4, 17] ----------- = ------- [9, 17, 16] [9, 16] [14, 17, 15] [14, 15] ------------ = -------- [9, 17, 16] [9, 16] [1, 6, 17, 13] [1, 6, 13] -------------- = ---------- [9, 17, 16] [9, 16] [1, 16, 17, 11] [1, 16, 11] --------------- = ----------- [9, 17, 16] [9, 16] [2, 8, 17, 9] [2, 8, 9] ------------- = --------- [9, 17, 16] [9, 16] [3, 0, 17, 7] [3, 0, 7] ------------- = --------- [9, 17, 16] [9, 16] [3, 10, 17, 5] [3, 10, 5] -------------- = ---------- [9, 17, 16] [9, 16] [4, 2, 17, 3] [4, 2, 3] ------------- = --------- [9, 17, 16] [9, 16] [4, 12, 17, 1] [4, 12, 1] -------------- = ---------- [9, 17, 16] [9, 16] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 9] [1, 12, 10, 6] [1, 12, 6] -------------- = ---------- [10, 10, 9] [10, 9] [2, 14, 10, 3] [2, 14, 3] -------------- = ---------- [10, 10, 9] [10, 9] [3, 16, 10, 0] [3, 16, 0] -------------- = ---------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 9] [2, 0, 12, 0] [2, 0, 0] ------------- = --------- [10, 12, 9] [10, 9] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 13, 12] [3, 17, 13, 2] [3, 17, 2] -------------- = ---------- [10, 13, 12] [10, 12] denominator=, [10, 14, 12] [1, 15, 14, 6] [1, 15, 6] -------------- = ---------- [10, 14, 12] [10, 12] [3, 2, 14, 0] [3, 2, 0] ------------- = --------- [10, 14, 12] [10, 12] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 15] [4, 0, 16, 4] [4, 0, 4] ------------- = --------- [10, 16, 15] [10, 15] denominator=, [10, 16, 16] [5, 13, 16, 8] [5, 13, 8] -------------- = ---------- [10, 16, 16] [10, 16] denominator=, [11, 3, 2] [1, 12, 3, 0] [1, 12, 0] ------------- = ---------- [11, 3, 2] [11, 2] denominator=, [11, 8, 7] [2, 14, 8, 2] [2, 14, 2] ------------- = ---------- [11, 8, 7] [11, 7] denominator=, [11, 11, 9] [1, 15, 11, 4] [1, 15, 4] -------------- = ---------- [11, 11, 9] [11, 9] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 13, 10] [2, 0, 13, 2] [2, 0, 2] ------------- = --------- [11, 13, 10] [11, 10] denominator=, [11, 13, 12] [1, 13, 13, 9] [1, 13, 9] -------------- = ---------- [11, 13, 12] [11, 12] [2, 15, 13, 6] [2, 15, 6] -------------- = ---------- [11, 13, 12] [11, 12] [3, 17, 13, 3] [3, 17, 3] -------------- = ---------- [11, 13, 12] [11, 12] [5, 1, 13, 0] [5, 1, 0] ------------- = --------- [11, 13, 12] [11, 12] denominator=, [11, 16, 12] [2, 4, 16, 0] [2, 4, 0] ------------- = --------- [11, 16, 12] [11, 12] denominator=, [11, 17, 0] [1, 17, 15] [1, 15] ----------- = ------- [11, 17, 0] [11, 0] [3, 17, 12] [3, 12] ----------- = ------- [11, 17, 0] [11, 0] [5, 17, 9] [5, 9] ----------- = ------- [11, 17, 0] [11, 0] [7, 17, 6] [7, 6] ----------- = ------- [11, 17, 0] [11, 0] [9, 17, 3] [9, 3] ----------- = ------- [11, 17, 0] [11, 0] denominator=, [11, 17, 2] [2, 17, 14] [2, 14] ----------- = ------- [11, 17, 2] [11, 2] [5, 17, 10] [5, 10] ----------- = ------- [11, 17, 2] [11, 2] [8, 17, 6] [8, 6] ----------- = ------- [11, 17, 2] [11, 2] denominator=, [11, 17, 3] [3, 17, 13] [3, 13] ----------- = ------- [11, 17, 3] [11, 3] [7, 17, 8] [7, 8] ----------- = ------- [11, 17, 3] [11, 3] denominator=, [11, 17, 4] [5, 17, 11] [5, 11] ----------- = ------- [11, 17, 4] [11, 4] denominator=, [11, 17, 8] [5, 17, 13] [5, 13] ----------- = ------- [11, 17, 8] [11, 8] [17, 17, 3] [17, 3] ----------- = ------- [11, 17, 8] [11, 8] denominator=, [11, 17, 9] [3, 17, 15] [3, 15] ----------- = ------- [11, 17, 9] [11, 9] [7, 17, 12] [7, 12] ----------- = ------- [11, 17, 9] [11, 9] [15, 17, 6] [15, 6] ----------- = ------- [11, 17, 9] [11, 9] [1, 1, 17, 3] [1, 1, 3] ------------- = --------- [11, 17, 9] [11, 9] denominator=, [11, 17, 10] [2, 17, 16] [2, 16] ------------ = -------- [11, 17, 10] [11, 10] [5, 17, 14] [5, 14] ------------ = -------- [11, 17, 10] [11, 10] [8, 17, 12] [8, 12] ------------ = -------- [11, 17, 10] [11, 10] [14, 17, 8] [14, 8] ------------ = -------- [11, 17, 10] [11, 10] [17, 17, 6] [17, 6] ------------ = -------- [11, 17, 10] [11, 10] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [11, 17, 10] [11, 10] [1, 8, 17, 0] [1, 8, 0] ------------- = --------- [11, 17, 10] [11, 10] denominator=, [11, 17, 12] [1, 17, 17] [1, 17] ------------ = -------- [11, 17, 12] [11, 12] [3, 17, 16] [3, 16] ------------ = -------- [11, 17, 12] [11, 12] [5, 17, 15] [5, 15] ------------ = -------- [11, 17, 12] [11, 12] [7, 17, 14] [7, 14] ------------ = -------- [11, 17, 12] [11, 12] [9, 17, 13] [9, 13] ------------ = -------- [11, 17, 12] [11, 12] [13, 17, 11] [13, 11] ------------ = -------- [11, 17, 12] [11, 12] [15, 17, 10] [15, 10] ------------ = -------- [11, 17, 12] [11, 12] [17, 17, 9] [17, 9] ------------ = -------- [11, 17, 12] [11, 12] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [11, 17, 12] [11, 12] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [11, 17, 12] [11, 12] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [11, 17, 12] [11, 12] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [11, 17, 12] [11, 12] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [11, 17, 12] [11, 12] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [11, 17, 12] [11, 12] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [11, 17, 12] [11, 12] denominator=, [11, 17, 14] [2, 17, 17] [2, 17] ------------ = -------- [11, 17, 14] [11, 14] [5, 17, 16] [5, 16] ------------ = -------- [11, 17, 14] [11, 14] [8, 17, 15] [8, 15] ------------ = -------- [11, 17, 14] [11, 14] [14, 17, 13] [14, 13] ------------ = -------- [11, 17, 14] [11, 14] [17, 17, 12] [17, 12] ------------ = -------- [11, 17, 14] [11, 14] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [11, 17, 14] [11, 14] [1, 8, 17, 9] [1, 8, 9] ------------- = --------- [11, 17, 14] [11, 14] [1, 11, 17, 8] [1, 11, 8] -------------- = ---------- [11, 17, 14] [11, 14] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [11, 17, 14] [11, 14] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [11, 17, 14] [11, 14] [2, 5, 17, 4] [2, 5, 4] ------------- = --------- [11, 17, 14] [11, 14] [2, 8, 17, 3] [2, 8, 3] ------------- = --------- [11, 17, 14] [11, 14] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [11, 17, 14] [11, 14] [2, 17, 17, 0] [2, 17, 0] -------------- = ---------- [11, 17, 14] [11, 14] denominator=, [11, 17, 15] [3, 17, 17] [3, 17] ------------ = -------- [11, 17, 15] [11, 15] [7, 17, 16] [7, 16] ------------ = -------- [11, 17, 15] [11, 15] [15, 17, 14] [15, 14] ------------ = -------- [11, 17, 15] [11, 15] [1, 1, 17, 13] [1, 1, 13] -------------- = ---------- [11, 17, 15] [11, 15] [1, 9, 17, 11] [1, 9, 11] -------------- = ---------- [11, 17, 15] [11, 15] [1, 13, 17, 10] [1, 13, 10] --------------- = ----------- [11, 17, 15] [11, 15] [2, 3, 17, 8] [2, 3, 8] ------------- = --------- [11, 17, 15] [11, 15] [2, 7, 17, 7] [2, 7, 7] ------------- = --------- [11, 17, 15] [11, 15] [2, 15, 17, 5] [2, 15, 5] -------------- = ---------- [11, 17, 15] [11, 15] [3, 1, 17, 4] [3, 1, 4] ------------- = --------- [11, 17, 15] [11, 15] [3, 9, 17, 2] [3, 9, 2] ------------- = --------- [11, 17, 15] [11, 15] [3, 13, 17, 1] [3, 13, 1] -------------- = ---------- [11, 17, 15] [11, 15] denominator=, [11, 17, 16] [5, 17, 17] [5, 17] ------------ = -------- [11, 17, 16] [11, 16] [17, 17, 15] [17, 15] ------------ = -------- [11, 17, 16] [11, 16] [1, 11, 17, 13] [1, 11, 13] --------------- = ----------- [11, 17, 16] [11, 16] [2, 5, 17, 11] [2, 5, 11] -------------- = ---------- [11, 17, 16] [11, 16] [2, 17, 17, 9] [2, 17, 9] -------------- = ---------- [11, 17, 16] [11, 16] [3, 11, 17, 7] [3, 11, 7] -------------- = ---------- [11, 17, 16] [11, 16] [4, 5, 17, 5] [4, 5, 5] ------------- = --------- [11, 17, 16] [11, 16] [4, 17, 17, 3] [4, 17, 3] -------------- = ---------- [11, 17, 16] [11, 16] [5, 11, 17, 1] [5, 11, 1] -------------- = ---------- [11, 17, 16] [11, 16] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 5, 4] [1, 13, 5, 2] [1, 13, 2] ------------- = ---------- [12, 5, 4] [12, 4] [2, 14, 5, 0] [2, 14, 0] ------------- = ---------- [12, 5, 4] [12, 4] denominator=, [12, 6, 4] [1, 15, 6, 0] [1, 15, 0] ------------- = ---------- [12, 6, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 11, 9] [3, 1, 11, 0] [3, 1, 0] ------------- = --------- [12, 11, 9] [12, 9] denominator=, [12, 12, 9] [2, 0, 12, 2] [2, 0, 2] ------------- = --------- [12, 12, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [12, 16, 14] [1, 16, 16, 9] [1, 16, 9] -------------- = ---------- [12, 16, 14] [12, 14] [3, 2, 16, 4] [3, 2, 4] ------------- = --------- [12, 16, 14] [12, 14] denominator=, [12, 16, 15] [1, 14, 16, 12] [1, 14, 12] --------------- = ----------- [12, 16, 15] [12, 15] [2, 16, 16, 9] [2, 16, 9] -------------- = ---------- [12, 16, 15] [12, 15] [4, 0, 16, 6] [4, 0, 6] ------------- = --------- [12, 16, 15] [12, 15] [5, 2, 16, 3] [5, 2, 3] ------------- = --------- [12, 16, 15] [12, 15] [6, 4, 16, 0] [6, 4, 0] ------------- = --------- [12, 16, 15] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [6, 14, 16, 8] [6, 14, 8] -------------- = ---------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [13, 7, 6] [1, 14, 7, 4] [1, 14, 4] ------------- = ---------- [13, 7, 6] [13, 6] [2, 15, 7, 2] [2, 15, 2] ------------- = ---------- [13, 7, 6] [13, 6] [3, 16, 7, 0] [3, 16, 0] ------------- = ---------- [13, 7, 6] [13, 6] denominator=, [13, 9, 6] [2, 0, 9, 0] [2, 0, 0] ------------ = --------- [13, 9, 6] [13, 6] denominator=, [13, 10, 8] [1, 16, 10, 4] [1, 16, 4] -------------- = ---------- [13, 10, 8] [13, 8] [3, 1, 10, 0] [3, 1, 0] ------------- = --------- [13, 10, 8] [13, 8] denominator=, [13, 10, 9] [5, 0, 10, 0] [5, 0, 0] ------------- = --------- [13, 10, 9] [13, 9] denominator=, [13, 11, 10] [3, 17, 11, 3] [3, 17, 3] -------------- = ---------- [13, 11, 10] [13, 10] denominator=, [13, 13, 9] [2, 3, 13, 0] [2, 3, 0] ------------- = --------- [13, 13, 9] [13, 9] denominator=, [13, 13, 12] [2, 16, 13, 7] [2, 16, 7] -------------- = ---------- [13, 13, 12] [13, 12] [5, 1, 13, 2] [5, 1, 2] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 15, 14] [4, 0, 15, 6] [4, 0, 6] ------------- = --------- [13, 15, 14] [13, 14] denominator=, [13, 16, 15] [5, 2, 16, 4] [5, 2, 4] ------------- = --------- [13, 16, 15] [13, 15] denominator=, [13, 17, 0] [6, 17, 9] [6, 9] ----------- = ------- [13, 17, 0] [13, 0] denominator=, [13, 17, 2] [6, 17, 10] [6, 10] ----------- = ------- [13, 17, 2] [13, 2] denominator=, [13, 17, 6] [6, 17, 12] [6, 12] ----------- = ------- [13, 17, 6] [13, 6] [1, 2, 17, 0] [1, 2, 0] ------------- = --------- [13, 17, 6] [13, 6] denominator=, [13, 17, 8] [6, 17, 13] [6, 13] ----------- = ------- [13, 17, 8] [13, 8] [1, 2, 17, 3] [1, 2, 3] ------------- = --------- [13, 17, 8] [13, 8] denominator=, [13, 17, 10] [6, 17, 14] [6, 14] ------------ = -------- [13, 17, 10] [13, 10] [1, 2, 17, 6] [1, 2, 6] ------------- = --------- [13, 17, 10] [13, 10] denominator=, [13, 17, 11] [1, 17, 17] [1, 17] ------------ = -------- [13, 17, 11] [13, 11] [3, 17, 16] [3, 16] ------------ = -------- [13, 17, 11] [13, 11] [5, 17, 15] [5, 15] ------------ = -------- [13, 17, 11] [13, 11] [7, 17, 14] [7, 14] ------------ = -------- [13, 17, 11] [13, 11] [9, 17, 13] [9, 13] ------------ = -------- [13, 17, 11] [13, 11] [11, 17, 12] [11, 12] ------------ = -------- [13, 17, 11] [13, 11] [15, 17, 10] [15, 10] ------------ = -------- [13, 17, 11] [13, 11] [17, 17, 9] [17, 9] ------------ = -------- [13, 17, 11] [13, 11] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [13, 17, 11] [13, 11] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [13, 17, 11] [13, 11] [1, 5, 17, 6] [1, 5, 6] ------------- = --------- [13, 17, 11] [13, 11] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [13, 17, 11] [13, 11] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [13, 17, 11] [13, 11] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [13, 17, 11] [13, 11] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [13, 17, 11] [13, 11] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [13, 17, 11] [13, 11] denominator=, [13, 17, 12] [6, 17, 15] [6, 15] ------------ = -------- [13, 17, 12] [13, 12] [1, 2, 17, 9] [1, 2, 9] ------------- = --------- [13, 17, 12] [13, 12] [1, 16, 17, 3] [1, 16, 3] -------------- = ---------- [13, 17, 12] [13, 12] denominator=, [13, 17, 14] [6, 17, 16] [6, 16] ------------ = -------- [13, 17, 14] [13, 14] [1, 2, 17, 12] [1, 2, 12] -------------- = ---------- [13, 17, 14] [13, 14] [1, 16, 17, 8] [1, 16, 8] -------------- = ---------- [13, 17, 14] [13, 14] [2, 12, 17, 4] [2, 12, 4] -------------- = ---------- [13, 17, 14] [13, 14] [3, 8, 17, 0] [3, 8, 0] ------------- = --------- [13, 17, 14] [13, 14] denominator=, [13, 17, 16] [6, 17, 17] [6, 17] ------------ = -------- [13, 17, 16] [13, 16] [1, 2, 17, 15] [1, 2, 15] -------------- = ---------- [13, 17, 16] [13, 16] [1, 16, 17, 13] [1, 16, 13] --------------- = ----------- [13, 17, 16] [13, 16] [2, 12, 17, 11] [2, 12, 11] --------------- = ----------- [13, 17, 16] [13, 16] [3, 8, 17, 9] [3, 8, 9] ------------- = --------- [13, 17, 16] [13, 16] [4, 4, 17, 7] [4, 4, 7] ------------- = --------- [13, 17, 16] [13, 16] [5, 0, 17, 5] [5, 0, 5] ------------- = --------- [13, 17, 16] [13, 16] [5, 14, 17, 3] [5, 14, 3] -------------- = ---------- [13, 17, 16] [13, 16] [6, 10, 17, 1] [6, 10, 1] -------------- = ---------- [13, 17, 16] [13, 16] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 6, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 9, 8] [1, 15, 9, 6] [1, 15, 6] ------------- = ---------- [14, 9, 8] [14, 8] [2, 16, 9, 4] [2, 16, 4] ------------- = ---------- [14, 9, 8] [14, 8] [3, 17, 9, 2] [3, 17, 2] ------------- = ---------- [14, 9, 8] [14, 8] [5, 0, 9, 0] [5, 0, 0] ------------ = --------- [14, 9, 8] [14, 8] denominator=, [14, 10, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 12, 8] [2, 3, 12, 0] [2, 3, 0] ------------- = --------- [14, 12, 8] [14, 8] denominator=, [14, 12, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 12] [1, 17, 14, 8] [1, 17, 8] -------------- = ---------- [14, 14, 12] [14, 12] [3, 2, 14, 4] [3, 2, 4] ------------- = --------- [14, 14, 12] [14, 12] [4, 5, 14, 0] [4, 5, 0] ------------- = --------- [14, 14, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 15, 12] [2, 1, 15, 6] [2, 1, 6] ------------- = --------- [14, 15, 12] [14, 12] [3, 6, 15, 0] [3, 6, 0] ------------- = --------- [14, 15, 12] [14, 12] denominator=, [14, 16, 16] [7, 15, 16, 8] [7, 15, 8] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [14, 17, 0] [4, 17, 12] [4, 12] ----------- = ------- [14, 17, 0] [14, 0] [9, 17, 6] [9, 6] ----------- = ------- [14, 17, 0] [14, 0] denominator=, [14, 17, 6] [4, 17, 14] [4, 14] ----------- = ------- [14, 17, 6] [14, 6] [9, 17, 10] [9, 10] ----------- = ------- [14, 17, 6] [14, 6] [1, 1, 17, 2] [1, 1, 2] ------------- = --------- [14, 17, 6] [14, 6] denominator=, [14, 17, 8] [2, 17, 16] [2, 16] ----------- = ------- [14, 17, 8] [14, 8] [5, 17, 14] [5, 14] ----------- = ------- [14, 17, 8] [14, 8] [8, 17, 12] [8, 12] ----------- = ------- [14, 17, 8] [14, 8] [11, 17, 10] [11, 10] ------------ = -------- [14, 17, 8] [14, 8] [17, 17, 6] [17, 6] ----------- = ------- [14, 17, 8] [14, 8] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [14, 17, 8] [14, 8] [1, 5, 17, 2] [1, 5, 2] ------------- = --------- [14, 17, 8] [14, 8] [1, 8, 17, 0] [1, 8, 0] ------------- = --------- [14, 17, 8] [14, 8] denominator=, [14, 17, 9] [4, 17, 15] [4, 15] ----------- = ------- [14, 17, 9] [14, 9] [9, 17, 12] [9, 12] ----------- = ------- [14, 17, 9] [14, 9] [1, 1, 17, 6] [1, 1, 6] ------------- = --------- [14, 17, 9] [14, 9] [1, 6, 17, 3] [1, 6, 3] ------------- = --------- [14, 17, 9] [14, 9] denominator=, [14, 17, 12] [4, 17, 16] [4, 16] ------------ = -------- [14, 17, 12] [14, 12] [9, 17, 14] [9, 14] ------------ = -------- [14, 17, 12] [14, 12] [1, 1, 17, 10] [1, 1, 10] -------------- = ---------- [14, 17, 12] [14, 12] [1, 6, 17, 8] [1, 6, 8] ------------- = --------- [14, 17, 12] [14, 12] [1, 16, 17, 4] [1, 16, 4] -------------- = ---------- [14, 17, 12] [14, 12] [2, 3, 17, 2] [2, 3, 2] ------------- = --------- [14, 17, 12] [14, 12] denominator=, [14, 17, 13] [2, 17, 17] [2, 17] ------------ = -------- [14, 17, 13] [14, 13] [5, 17, 16] [5, 16] ------------ = -------- [14, 17, 13] [14, 13] [8, 17, 15] [8, 15] ------------ = -------- [14, 17, 13] [14, 13] [11, 17, 14] [11, 14] ------------ = -------- [14, 17, 13] [14, 13] [17, 17, 12] [17, 12] ------------ = -------- [14, 17, 13] [14, 13] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [14, 17, 13] [14, 13] [1, 5, 17, 10] [1, 5, 10] -------------- = ---------- [14, 17, 13] [14, 13] [1, 8, 17, 9] [1, 8, 9] ------------- = --------- [14, 17, 13] [14, 13] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [14, 17, 13] [14, 13] [1, 17, 17, 6] [1, 17, 6] -------------- = ---------- [14, 17, 13] [14, 13] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [14, 17, 13] [14, 13] [2, 5, 17, 4] [2, 5, 4] ------------- = --------- [14, 17, 13] [14, 13] [2, 11, 17, 2] [2, 11, 2] -------------- = ---------- [14, 17, 13] [14, 13] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [14, 17, 13] [14, 13] [2, 17, 17, 0] [2, 17, 0] -------------- = ---------- [14, 17, 13] [14, 13] denominator=, [14, 17, 15] [4, 17, 17] [4, 17] ------------ = -------- [14, 17, 15] [14, 15] [9, 17, 16] [9, 16] ------------ = -------- [14, 17, 15] [14, 15] [1, 1, 17, 14] [1, 1, 14] -------------- = ---------- [14, 17, 15] [14, 15] [1, 6, 17, 13] [1, 6, 13] -------------- = ---------- [14, 17, 15] [14, 15] [1, 16, 17, 11] [1, 16, 11] --------------- = ----------- [14, 17, 15] [14, 15] [2, 3, 17, 10] [2, 3, 10] -------------- = ---------- [14, 17, 15] [14, 15] [2, 13, 17, 8] [2, 13, 8] -------------- = ---------- [14, 17, 15] [14, 15] [3, 0, 17, 7] [3, 0, 7] ------------- = --------- [14, 17, 15] [14, 15] [3, 10, 17, 5] [3, 10, 5] -------------- = ---------- [14, 17, 15] [14, 15] [3, 15, 17, 4] [3, 15, 4] -------------- = ---------- [14, 17, 15] [14, 15] [4, 7, 17, 2] [4, 7, 2] ------------- = --------- [14, 17, 15] [14, 15] [4, 12, 17, 1] [4, 12, 1] -------------- = ---------- [14, 17, 15] [14, 15] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 4, 3] [2, 16, 4, 0] [2, 16, 0] ------------- = ---------- [15, 4, 3] [15, 3] denominator=, [15, 5, 3] [1, 17, 5, 0] [1, 17, 0] ------------- = ---------- [15, 5, 3] [15, 3] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] denominator=, [15, 9, 6] [2, 1, 9, 1] [2, 1, 1] ------------ = --------- [15, 9, 6] [15, 6] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] denominator=, [15, 11, 10] [1, 16, 11, 8] [1, 16, 8] -------------- = ---------- [15, 11, 10] [15, 10] [2, 17, 11, 6] [2, 17, 6] -------------- = ---------- [15, 11, 10] [15, 10] [4, 0, 11, 4] [4, 0, 4] ------------- = --------- [15, 11, 10] [15, 10] [5, 1, 11, 2] [5, 1, 2] ------------- = --------- [15, 11, 10] [15, 10] [6, 2, 11, 0] [6, 2, 0] ------------- = --------- [15, 11, 10] [15, 10] denominator=, [15, 12, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] denominator=, [15, 15, 10] [2, 6, 15, 0] [2, 6, 0] ------------- = --------- [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [3, 6, 15, 1] [3, 6, 1] ------------- = --------- [15, 15, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 17, 0] [7, 17, 9] [7, 9] ----------- = ------- [15, 17, 0] [15, 0] denominator=, [15, 17, 4] [7, 17, 11] [7, 11] ----------- = ------- [15, 17, 4] [15, 4] denominator=, [15, 17, 6] [3, 17, 15] [3, 15] ----------- = ------- [15, 17, 6] [15, 6] [7, 17, 12] [7, 12] ----------- = ------- [15, 17, 6] [15, 6] [11, 17, 9] [11, 9] ----------- = ------- [15, 17, 6] [15, 6] [1, 1, 17, 3] [1, 1, 3] ------------- = --------- [15, 17, 6] [15, 6] [1, 5, 17, 0] [1, 5, 0] ------------- = --------- [15, 17, 6] [15, 6] denominator=, [15, 17, 8] [7, 17, 13] [7, 13] ----------- = ------- [15, 17, 8] [15, 8] [1, 5, 17, 3] [1, 5, 3] ------------- = --------- [15, 17, 8] [15, 8] denominator=, [15, 17, 10] [1, 17, 17] [1, 17] ------------ = -------- [15, 17, 10] [15, 10] [3, 17, 16] [3, 16] ------------ = -------- [15, 17, 10] [15, 10] [5, 17, 15] [5, 15] ------------ = -------- [15, 17, 10] [15, 10] [7, 17, 14] [7, 14] ------------ = -------- [15, 17, 10] [15, 10] [9, 17, 13] [9, 13] ------------ = -------- [15, 17, 10] [15, 10] [11, 17, 12] [11, 12] ------------ = -------- [15, 17, 10] [15, 10] [13, 17, 11] [13, 11] ------------ = -------- [15, 17, 10] [15, 10] [17, 17, 9] [17, 9] ------------ = -------- [15, 17, 10] [15, 10] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [15, 17, 10] [15, 10] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [15, 17, 10] [15, 10] [1, 5, 17, 6] [1, 5, 6] ------------- = --------- [15, 17, 10] [15, 10] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [15, 17, 10] [15, 10] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [15, 17, 10] [15, 10] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [15, 17, 10] [15, 10] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [15, 17, 10] [15, 10] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [15, 17, 10] [15, 10] denominator=, [15, 17, 12] [7, 17, 15] [7, 15] ------------ = -------- [15, 17, 12] [15, 12] [1, 5, 17, 9] [1, 5, 9] ------------- = --------- [15, 17, 12] [15, 12] [2, 3, 17, 3] [2, 3, 3] ------------- = --------- [15, 17, 12] [15, 12] denominator=, [15, 17, 14] [3, 17, 17] [3, 17] ------------ = -------- [15, 17, 14] [15, 14] [7, 17, 16] [7, 16] ------------ = -------- [15, 17, 14] [15, 14] [11, 17, 15] [11, 15] ------------ = -------- [15, 17, 14] [15, 14] [1, 1, 17, 13] [1, 1, 13] -------------- = ---------- [15, 17, 14] [15, 14] [1, 5, 17, 12] [1, 5, 12] -------------- = ---------- [15, 17, 14] [15, 14] [1, 9, 17, 11] [1, 9, 11] -------------- = ---------- [15, 17, 14] [15, 14] [1, 17, 17, 9] [1, 17, 9] -------------- = ---------- [15, 17, 14] [15, 14] [2, 3, 17, 8] [2, 3, 8] ------------- = --------- [15, 17, 14] [15, 14] [2, 7, 17, 7] [2, 7, 7] ------------- = --------- [15, 17, 14] [15, 14] [2, 15, 17, 5] [2, 15, 5] -------------- = ---------- [15, 17, 14] [15, 14] [3, 1, 17, 4] [3, 1, 4] ------------- = --------- [15, 17, 14] [15, 14] [3, 5, 17, 3] [3, 5, 3] ------------- = --------- [15, 17, 14] [15, 14] [3, 13, 17, 1] [3, 13, 1] -------------- = ---------- [15, 17, 14] [15, 14] [3, 17, 17, 0] [3, 17, 0] -------------- = ---------- [15, 17, 14] [15, 14] denominator=, [15, 17, 16] [7, 17, 17] [7, 17] ------------ = -------- [15, 17, 16] [15, 16] [1, 5, 17, 15] [1, 5, 15] -------------- = ---------- [15, 17, 16] [15, 16] [2, 3, 17, 13] [2, 3, 13] -------------- = ---------- [15, 17, 16] [15, 16] [3, 1, 17, 11] [3, 1, 11] -------------- = ---------- [15, 17, 16] [15, 16] [3, 17, 17, 9] [3, 17, 9] -------------- = ---------- [15, 17, 16] [15, 16] [4, 15, 17, 7] [4, 15, 7] -------------- = ---------- [15, 17, 16] [15, 16] [5, 13, 17, 5] [5, 13, 5] -------------- = ---------- [15, 17, 16] [15, 16] [6, 11, 17, 3] [6, 11, 3] -------------- = ---------- [15, 17, 16] [15, 16] [7, 9, 17, 1] [7, 9, 1] ------------- = --------- [15, 17, 16] [15, 16] denominator=, [16, 2, 2] [8, 9, 2, 1] [8, 9, 1] ------------ = --------- [16, 2, 2] [16, 2] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [8, 10, 4, 2] [8, 10, 2] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 6, 6] [8, 11, 6, 3] [8, 11, 3] ------------- = ---------- [16, 6, 6] [16, 6] denominator=, [16, 8, 6] [2, 0, 8, 3] [2, 0, 3] ------------ = --------- [16, 8, 6] [16, 6] [3, 2, 8, 0] [3, 2, 0] ------------ = --------- [16, 8, 6] [16, 6] denominator=, [16, 8, 7] [4, 0, 8, 2] [4, 0, 2] ------------ = --------- [16, 8, 7] [16, 7] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [8, 12, 8, 4] [8, 12, 4] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 10, 9] [6, 2, 10, 0] [6, 2, 0] ------------- = --------- [16, 10, 9] [16, 9] denominator=, [16, 10, 10] [8, 13, 10, 5] [8, 13, 5] -------------- = ---------- [16, 10, 10] [16, 10] denominator=, [16, 12, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [8, 14, 12, 6] [8, 14, 6] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] denominator=, [16, 13, 12] [1, 17, 13, 10] [1, 17, 10] --------------- = ----------- [16, 13, 12] [16, 12] [3, 0, 13, 8] [3, 0, 8] ------------- = --------- [16, 13, 12] [16, 12] [4, 1, 13, 6] [4, 1, 6] ------------- = --------- [16, 13, 12] [16, 12] [5, 2, 13, 4] [5, 2, 4] ------------- = --------- [16, 13, 12] [16, 12] [6, 3, 13, 2] [6, 3, 2] ------------- = --------- [16, 13, 12] [16, 12] [7, 4, 13, 0] [7, 4, 0] ------------- = --------- [16, 13, 12] [16, 12] denominator=, [16, 14, 9] [2, 6, 14, 0] [2, 6, 0] ------------- = --------- [16, 14, 9] [16, 9] denominator=, [16, 14, 11] [2, 2, 14, 6] [2, 2, 6] ------------- = --------- [16, 14, 11] [16, 11] [3, 6, 14, 1] [3, 6, 1] ------------- = --------- [16, 14, 11] [16, 11] denominator=, [16, 14, 14] [8, 15, 14, 7] [8, 15, 7] -------------- = ---------- [16, 14, 14] [16, 14] denominator=, [16, 15, 13] [3, 3, 15, 6] [3, 3, 6] ------------- = --------- [16, 15, 13] [16, 13] denominator=, [16, 16, 12] [2, 4, 16, 5] [2, 4, 5] ------------- = --------- [16, 16, 12] [16, 12] denominator=, [16, 16, 15] [6, 4, 16, 4] [6, 4, 4] ------------- = --------- [16, 16, 15] [16, 15] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [17, 7, 6] [3, 0, 7, 3] [3, 0, 3] ------------ = --------- [17, 7, 6] [17, 6] [5, 1, 7, 0] [5, 1, 0] ------------ = --------- [17, 7, 6] [17, 6] denominator=, [17, 10, 6] [2, 4, 10, 0] [2, 4, 0] ------------- = --------- [17, 10, 6] [17, 6] denominator=, [17, 11, 9] [2, 1, 11, 6] [2, 1, 6] ------------- = --------- [17, 11, 9] [17, 9] [3, 3, 11, 3] [3, 3, 3] ------------- = --------- [17, 11, 9] [17, 9] [4, 5, 11, 0] [4, 5, 0] ------------- = --------- [17, 11, 9] [17, 9] denominator=, [17, 11, 10] [5, 2, 11, 3] [5, 2, 3] ------------- = --------- [17, 11, 10] [17, 10] denominator=, [17, 12, 9] [3, 6, 12, 0] [3, 6, 0] ------------- = --------- [17, 12, 9] [17, 9] denominator=, [17, 15, 14] [2, 0, 15, 12] [2, 0, 12] -------------- = ---------- [17, 15, 14] [17, 14] [3, 1, 15, 10] [3, 1, 10] -------------- = ---------- [17, 15, 14] [17, 14] [4, 2, 15, 8] [4, 2, 8] ------------- = --------- [17, 15, 14] [17, 14] [5, 3, 15, 6] [5, 3, 6] ------------- = --------- [17, 15, 14] [17, 14] [6, 4, 15, 4] [6, 4, 4] ------------- = --------- [17, 15, 14] [17, 14] [7, 5, 15, 2] [7, 5, 2] ------------- = --------- [17, 15, 14] [17, 14] [8, 6, 15, 0] [8, 6, 0] ------------- = --------- [17, 15, 14] [17, 14] denominator=, [17, 16, 14] [4, 6, 16, 4] [4, 6, 4] ------------- = --------- [17, 16, 14] [17, 14] denominator=, [17, 17, 2] [8, 17, 10] [8, 10] ----------- = ------- [17, 17, 2] [17, 2] denominator=, [17, 17, 3] [5, 17, 13] [5, 13] ----------- = ------- [17, 17, 3] [17, 3] [11, 17, 8] [11, 8] ----------- = ------- [17, 17, 3] [17, 3] denominator=, [17, 17, 4] [8, 17, 11] [8, 11] ----------- = ------- [17, 17, 4] [17, 4] denominator=, [17, 17, 6] [2, 17, 16] [2, 16] ----------- = ------- [17, 17, 6] [17, 6] [5, 17, 14] [5, 14] ----------- = ------- [17, 17, 6] [17, 6] [8, 17, 12] [8, 12] ----------- = ------- [17, 17, 6] [17, 6] [11, 17, 10] [11, 10] ------------ = -------- [17, 17, 6] [17, 6] [14, 17, 8] [14, 8] ----------- = ------- [17, 17, 6] [17, 6] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [17, 17, 6] [17, 6] [1, 5, 17, 2] [1, 5, 2] ------------- = --------- [17, 17, 6] [17, 6] [1, 8, 17, 0] [1, 8, 0] ------------- = --------- [17, 17, 6] [17, 6] denominator=, [17, 17, 8] [8, 17, 13] [8, 13] ----------- = ------- [17, 17, 8] [17, 8] [1, 8, 17, 3] [1, 8, 3] ------------- = --------- [17, 17, 8] [17, 8] denominator=, [17, 17, 9] [1, 17, 17] [1, 17] ----------- = ------- [17, 17, 9] [17, 9] [3, 17, 16] [3, 16] ----------- = ------- [17, 17, 9] [17, 9] [5, 17, 15] [5, 15] ----------- = ------- [17, 17, 9] [17, 9] [7, 17, 14] [7, 14] ----------- = ------- [17, 17, 9] [17, 9] [9, 17, 13] [9, 13] ----------- = ------- [17, 17, 9] [17, 9] [11, 17, 12] [11, 12] ------------ = -------- [17, 17, 9] [17, 9] [13, 17, 11] [13, 11] ------------ = -------- [17, 17, 9] [17, 9] [15, 17, 10] [15, 10] ------------ = -------- [17, 17, 9] [17, 9] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [17, 17, 9] [17, 9] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [17, 17, 9] [17, 9] [1, 5, 17, 6] [1, 5, 6] ------------- = --------- [17, 17, 9] [17, 9] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [17, 17, 9] [17, 9] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [17, 17, 9] [17, 9] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [17, 17, 9] [17, 9] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [17, 17, 9] [17, 9] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [17, 17, 9] [17, 9] denominator=, [17, 17, 10] [8, 17, 14] [8, 14] ------------ = -------- [17, 17, 10] [17, 10] [1, 8, 17, 6] [1, 8, 6] ------------- = --------- [17, 17, 10] [17, 10] denominator=, [17, 17, 12] [2, 17, 17] [2, 17] ------------ = -------- [17, 17, 12] [17, 12] [5, 17, 16] [5, 16] ------------ = -------- [17, 17, 12] [17, 12] [8, 17, 15] [8, 15] ------------ = -------- [17, 17, 12] [17, 12] [11, 17, 14] [11, 14] ------------ = -------- [17, 17, 12] [17, 12] [14, 17, 13] [14, 13] ------------ = -------- [17, 17, 12] [17, 12] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [17, 17, 12] [17, 12] [1, 5, 17, 10] [1, 5, 10] -------------- = ---------- [17, 17, 12] [17, 12] [1, 8, 17, 9] [1, 8, 9] ------------- = --------- [17, 17, 12] [17, 12] [1, 11, 17, 8] [1, 11, 8] -------------- = ---------- [17, 17, 12] [17, 12] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [17, 17, 12] [17, 12] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [17, 17, 12] [17, 12] [2, 5, 17, 4] [2, 5, 4] ------------- = --------- [17, 17, 12] [17, 12] [2, 8, 17, 3] [2, 8, 3] ------------- = --------- [17, 17, 12] [17, 12] [2, 11, 17, 2] [2, 11, 2] -------------- = ---------- [17, 17, 12] [17, 12] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [17, 17, 12] [17, 12] denominator=, [17, 17, 14] [8, 17, 16] [8, 16] ------------ = -------- [17, 17, 14] [17, 14] [1, 8, 17, 12] [1, 8, 12] -------------- = ---------- [17, 17, 14] [17, 14] [2, 8, 17, 8] [2, 8, 8] ------------- = --------- [17, 17, 14] [17, 14] [3, 8, 17, 4] [3, 8, 4] ------------- = --------- [17, 17, 14] [17, 14] [4, 8, 17, 0] [4, 8, 0] ------------- = --------- [17, 17, 14] [17, 14] denominator=, [17, 17, 15] [5, 17, 17] [5, 17] ------------ = -------- [17, 17, 15] [17, 15] [11, 17, 16] [11, 16] ------------ = -------- [17, 17, 15] [17, 15] [1, 5, 17, 14] [1, 5, 14] -------------- = ---------- [17, 17, 15] [17, 15] [1, 11, 17, 13] [1, 11, 13] --------------- = ----------- [17, 17, 15] [17, 15] [2, 5, 17, 11] [2, 5, 11] -------------- = ---------- [17, 17, 15] [17, 15] [2, 11, 17, 10] [2, 11, 10] --------------- = ----------- [17, 17, 15] [17, 15] [3, 5, 17, 8] [3, 5, 8] ------------- = --------- [17, 17, 15] [17, 15] [3, 11, 17, 7] [3, 11, 7] -------------- = ---------- [17, 17, 15] [17, 15] [4, 5, 17, 5] [4, 5, 5] ------------- = --------- [17, 17, 15] [17, 15] [4, 11, 17, 4] [4, 11, 4] -------------- = ---------- [17, 17, 15] [17, 15] [5, 5, 17, 2] [5, 5, 2] ------------- = --------- [17, 17, 15] [17, 15] [5, 11, 17, 1] [5, 11, 1] -------------- = ---------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [8, 17, 17] [8, 17] ------------ = -------- [17, 17, 16] [17, 16] [1, 8, 17, 15] [1, 8, 15] -------------- = ---------- [17, 17, 16] [17, 16] [2, 8, 17, 13] [2, 8, 13] -------------- = ---------- [17, 17, 16] [17, 16] [3, 8, 17, 11] [3, 8, 11] -------------- = ---------- [17, 17, 16] [17, 16] [4, 8, 17, 9] [4, 8, 9] ------------- = --------- [17, 17, 16] [17, 16] [5, 8, 17, 7] [5, 8, 7] ------------- = --------- [17, 17, 16] [17, 16] [6, 8, 17, 5] [6, 8, 5] ------------- = --------- [17, 17, 16] [17, 16] [7, 8, 17, 3] [7, 8, 3] ------------- = --------- [17, 17, 16] [17, 16] [8, 8, 17, 1] [8, 8, 1] ------------- = --------- [17, 17, 16] [17, 16] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 2] [7, 5, 15] [5, 15] ---------- = ------- [1, 7, 2] [1, 2] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [10, 6, 12] [6, 12] ----------- = ------- [1, 10, 0] [1, 0] denominator=, [1, 10, 3] [10, 7, 14] [7, 14] ----------- = ------- [1, 10, 3] [1, 3] denominator=, [1, 10, 6] [10, 8, 16] [8, 16] ----------- = ------- [1, 10, 6] [1, 6] [2, 10, 3, 2] [2, 3, 2] ------------- = --------- [1, 10, 6] [1, 6] [3, 10, 0, 4] [3, 0, 4] ------------- = --------- [1, 10, 6] [1, 6] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 2] [13, 8, 12] [8, 12] ----------- = ------- [1, 13, 2] [1, 2] denominator=, [1, 13, 7] [13, 10, 15] [10, 15] ------------ = -------- [1, 13, 7] [1, 7] [2, 13, 3, 3] [2, 3, 3] ------------- = --------- [1, 13, 7] [1, 7] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [1, 13, 12] [1, 12] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [1, 13, 12] [1, 12] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [1, 15, 14] [15, 15, 0] [15, 0] ----------- = ------- [1, 15, 14] [1, 14] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [1, 15, 14] [1, 14] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [1, 15, 14] [1, 14] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [1, 15, 14] [1, 14] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [1, 15, 14] [1, 14] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [1, 15, 14] [1, 14] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [1, 15, 14] [1, 14] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [1, 15, 14] [1, 14] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [1, 15, 14] [1, 14] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [1, 15, 14] [1, 14] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [1, 15, 14] [1, 14] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [1, 15, 14] [1, 14] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [1, 15, 14] [1, 14] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [1, 15, 14] [1, 14] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [1, 15, 14] [1, 14] denominator=, [1, 16, 4] [16, 10, 12] [10, 12] ------------ = -------- [1, 16, 4] [1, 4] denominator=, [1, 16, 15] [16, 16, 0] [16, 0] ----------- = ------- [1, 16, 15] [1, 15] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [1, 16, 15] [1, 15] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [1, 16, 15] [1, 15] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [1, 16, 15] [1, 15] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [1, 16, 15] [1, 15] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [1, 16, 15] [1, 15] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [1, 16, 15] [1, 15] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [1, 16, 15] [1, 15] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [1, 16, 15] [1, 15] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [1, 16, 15] [1, 15] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [1, 16, 15] [1, 15] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [1, 16, 15] [1, 15] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [1, 16, 15] [1, 15] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [1, 16, 15] [1, 15] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [1, 16, 15] [1, 15] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 6, 6] [12, 6, 4, 9] [12, 4, 9] ------------- = ---------- [2, 6, 6] [2, 6] [1, 14, 6, 1, 9] [1, 14, 1, 9] ---------------- = ------------- [2, 6, 6] [2, 6] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 10, 10] [13, 10, 7, 9] [13, 7, 9] -------------- = ---------- [2, 10, 10] [2, 10] [1, 17, 10, 2, 9] [1, 17, 2, 9] ----------------- = ------------- [2, 10, 10] [2, 10] denominator=, [2, 11, 4] [11, 9, 14] [9, 14] ----------- = ------- [2, 11, 4] [2, 4] [1, 11, 6, 16] [1, 6, 16] -------------- = ---------- [2, 11, 4] [2, 4] [3, 11, 1, 2] [3, 1, 2] ------------- = --------- [2, 11, 4] [2, 4] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [14, 10, 9] [10, 9] ----------- = ------- [2, 14, 0] [2, 0] denominator=, [2, 14, 4] [14, 11, 12] [11, 12] ------------ = -------- [2, 14, 4] [2, 4] [1, 14, 7, 15] [1, 7, 15] -------------- = ---------- [2, 14, 4] [2, 4] [3, 14, 0, 3] [3, 0, 3] ------------- = --------- [2, 14, 4] [2, 4] denominator=, [2, 14, 8] [14, 12, 15] [12, 15] ------------ = -------- [2, 14, 8] [2, 8] [4, 14, 3, 3] [4, 3, 3] ------------- = --------- [2, 14, 8] [2, 8] denominator=, [2, 14, 10] [6, 14, 3, 3] [6, 3, 3] ------------- = --------- [2, 14, 10] [2, 10] denominator=, [2, 14, 12] [14, 14, 0] [14, 0] ----------- = ------- [2, 14, 12] [2, 12] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [2, 14, 12] [2, 12] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [2, 14, 12] [2, 12] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [2, 14, 12] [2, 12] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [2, 14, 12] [2, 12] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [2, 14, 12] [2, 12] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [2, 14, 12] [2, 12] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [2, 14, 12] [2, 12] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [2, 14, 12] [2, 12] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [2, 14, 12] [2, 12] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [2, 14, 12] [2, 12] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [2, 14, 12] [2, 12] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [2, 14, 12] [2, 12] denominator=, [2, 14, 14] [6, 14, 12, 15] [6, 12, 15] --------------- = ----------- [2, 14, 14] [2, 14] [14, 14, 10, 9] [14, 10, 9] --------------- = ----------- [2, 14, 14] [2, 14] [1, 4, 14, 8, 3] [1, 4, 8, 3] ---------------- = ------------ [2, 14, 14] [2, 14] [1, 12, 14, 5, 15] [1, 12, 5, 15] ------------------ = -------------- [2, 14, 14] [2, 14] [2, 2, 14, 3, 9] [2, 2, 3, 9] ---------------- = ------------ [2, 14, 14] [2, 14] [2, 10, 14, 1, 3] [2, 10, 1, 3] ----------------- = ------------- [2, 14, 14] [2, 14] denominator=, [2, 15, 13] [15, 15, 0] [15, 0] ----------- = ------- [2, 15, 13] [2, 13] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [2, 15, 13] [2, 13] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [2, 15, 13] [2, 13] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [2, 15, 13] [2, 13] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [2, 15, 13] [2, 13] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [2, 15, 13] [2, 13] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [2, 15, 13] [2, 13] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [2, 15, 13] [2, 13] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [2, 15, 13] [2, 13] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [2, 15, 13] [2, 13] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [2, 15, 13] [2, 13] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [2, 15, 13] [2, 13] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [2, 15, 13] [2, 13] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [2, 15, 13] [2, 13] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [2, 15, 13] [2, 13] denominator=, [2, 16, 14] [16, 16, 0] [16, 0] ----------- = ------- [2, 16, 14] [2, 14] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [2, 16, 14] [2, 14] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [2, 16, 14] [2, 14] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [2, 16, 14] [2, 14] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [2, 16, 14] [2, 14] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [2, 16, 14] [2, 14] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [2, 16, 14] [2, 14] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [2, 16, 14] [2, 14] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [2, 16, 14] [2, 14] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [2, 16, 14] [2, 14] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [2, 16, 14] [2, 14] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [2, 16, 14] [2, 14] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [2, 16, 14] [2, 14] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [2, 16, 14] [2, 14] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [2, 16, 14] [2, 14] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [2, 16, 14] [2, 14] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 1] [1, 9, 5, 15] [1, 5, 15] ------------- = ---------- [3, 9, 1] [3, 1] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 8] [8, 9, 5, 15] [8, 5, 15] ------------- = ---------- [3, 9, 8] [3, 8] [1, 0, 9, 1, 9] [1, 0, 1, 9] --------------- = ------------ [3, 9, 8] [3, 8] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 2] [12, 10, 12] [10, 12] ------------ = -------- [3, 12, 2] [3, 2] [1, 12, 7, 14] [1, 7, 14] -------------- = ---------- [3, 12, 2] [3, 2] [2, 12, 4, 16] [2, 4, 16] -------------- = ---------- [3, 12, 2] [3, 2] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 13, 12] [1, 1, 13, 4, 9] [1, 1, 4, 9] ---------------- = ------------ [3, 13, 12] [3, 12] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [3, 15, 1] [15, 12, 9] [12, 9] ----------- = ------- [3, 15, 1] [3, 1] [1, 15, 8, 12] [1, 8, 12] -------------- = ---------- [3, 15, 1] [3, 1] [2, 15, 4, 15] [2, 4, 15] -------------- = ---------- [3, 15, 1] [3, 1] denominator=, [3, 15, 12] [15, 15, 0] [15, 0] ----------- = ------- [3, 15, 12] [3, 12] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [3, 15, 12] [3, 12] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [3, 15, 12] [3, 12] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [3, 15, 12] [3, 12] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [3, 15, 12] [3, 12] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [3, 15, 12] [3, 12] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [3, 15, 12] [3, 12] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [3, 15, 12] [3, 12] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [3, 15, 12] [3, 12] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [3, 15, 12] [3, 12] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [3, 15, 12] [3, 12] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [3, 15, 12] [3, 12] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [3, 15, 12] [3, 12] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [3, 15, 12] [3, 12] denominator=, [3, 16, 13] [16, 16, 0] [16, 0] ----------- = ------- [3, 16, 13] [3, 13] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [3, 16, 13] [3, 13] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [3, 16, 13] [3, 13] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [3, 16, 13] [3, 13] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [3, 16, 13] [3, 13] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [3, 16, 13] [3, 13] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [3, 16, 13] [3, 13] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [3, 16, 13] [3, 13] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [3, 16, 13] [3, 13] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [3, 16, 13] [3, 13] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [3, 16, 13] [3, 13] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [3, 16, 13] [3, 13] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [3, 16, 13] [3, 13] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [3, 16, 13] [3, 13] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [3, 16, 13] [3, 13] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [3, 16, 13] [3, 13] denominator=, [3, 17, 0] [17, 13, 9] [13, 9] ----------- = ------- [3, 17, 0] [3, 0] [2, 17, 4, 9] [2, 4, 9] ------------- = --------- [3, 17, 0] [3, 0] denominator=, [3, 17, 2] [17, 14, 0] [14, 0] ----------- = ------- [3, 17, 2] [3, 2] [2, 17, 6, 0] [2, 6, 0] ------------- = --------- [3, 17, 2] [3, 2] denominator=, [3, 17, 4] [17, 14, 9] [14, 9] ----------- = ------- [3, 17, 4] [3, 4] [2, 17, 7, 9] [2, 7, 9] ------------- = --------- [3, 17, 4] [3, 4] [4, 17, 0, 9] [4, 0, 9] ------------- = --------- [3, 17, 4] [3, 4] denominator=, [3, 17, 6] [17, 15, 0] [15, 0] ----------- = ------- [3, 17, 6] [3, 6] [2, 17, 9, 0] [2, 9, 0] ------------- = --------- [3, 17, 6] [3, 6] [4, 17, 3, 0] [4, 3, 0] ------------- = --------- [3, 17, 6] [3, 6] denominator=, [3, 17, 8] [17, 15, 9] [15, 9] ----------- = ------- [3, 17, 8] [3, 8] [2, 17, 10, 9] [2, 10, 9] -------------- = ---------- [3, 17, 8] [3, 8] [4, 17, 5, 9] [4, 5, 9] ------------- = --------- [3, 17, 8] [3, 8] [6, 17, 0, 9] [6, 0, 9] ------------- = --------- [3, 17, 8] [3, 8] denominator=, [3, 17, 10] [17, 16, 0] [16, 0] ----------- = ------- [3, 17, 10] [3, 10] [2, 17, 12, 0] [2, 12, 0] -------------- = ---------- [3, 17, 10] [3, 10] [4, 17, 8, 0] [4, 8, 0] ------------- = --------- [3, 17, 10] [3, 10] [6, 17, 4, 0] [6, 4, 0] ------------- = --------- [3, 17, 10] [3, 10] [8, 17, 0, 0] [8, 0, 0] ------------- = --------- [3, 17, 10] [3, 10] denominator=, [3, 17, 12] [17, 16, 9] [16, 9] ----------- = ------- [3, 17, 12] [3, 12] [2, 17, 13, 9] [2, 13, 9] -------------- = ---------- [3, 17, 12] [3, 12] [4, 17, 10, 9] [4, 10, 9] -------------- = ---------- [3, 17, 12] [3, 12] [6, 17, 7, 9] [6, 7, 9] ------------- = --------- [3, 17, 12] [3, 12] [8, 17, 4, 9] [8, 4, 9] ------------- = --------- [3, 17, 12] [3, 12] [10, 17, 1, 9] [10, 1, 9] -------------- = ---------- [3, 17, 12] [3, 12] denominator=, [3, 17, 14] [17, 17, 0] [17, 0] ----------- = ------- [3, 17, 14] [3, 14] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [3, 17, 14] [3, 14] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [3, 17, 14] [3, 14] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [3, 17, 14] [3, 14] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [3, 17, 14] [3, 14] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [3, 17, 14] [3, 14] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [3, 17, 14] [3, 14] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [3, 17, 14] [3, 14] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [3, 17, 14] [3, 14] denominator=, [3, 17, 16] [17, 17, 9] [17, 9] ----------- = ------- [3, 17, 16] [3, 16] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [3, 17, 16] [3, 16] [4, 17, 15, 9] [4, 15, 9] -------------- = ---------- [3, 17, 16] [3, 16] [6, 17, 14, 9] [6, 14, 9] -------------- = ---------- [3, 17, 16] [3, 16] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [3, 17, 16] [3, 16] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [3, 17, 16] [3, 16] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [3, 17, 16] [3, 16] [14, 17, 10, 9] [14, 10, 9] --------------- = ----------- [3, 17, 16] [3, 16] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [3, 17, 16] [3, 16] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [3, 17, 16] [3, 16] [1, 2, 17, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [3, 17, 16] [3, 16] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [3, 17, 16] [3, 16] [1, 6, 17, 5, 9] [1, 6, 5, 9] ---------------- = ------------ [3, 17, 16] [3, 16] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [3, 17, 16] [3, 16] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [3, 17, 16] [3, 16] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [3, 17, 16] [3, 16] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [3, 17, 16] [3, 16] [1, 16, 17, 0, 9] [1, 16, 0, 9] ----------------- = ------------- [3, 17, 16] [3, 16] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 17] [6, 0, 17] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 12] [14, 12, 10, 9] [14, 10, 9] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [1, 16, 12, 7, 9] [1, 16, 7, 9] ----------------- = ------------- [4, 12, 12] [4, 12] [3, 0, 12, 4, 9] [3, 0, 4, 9] ---------------- = ------------ [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 2, 12, 1, 9] [4, 2, 1, 9] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 13, 0] [13, 11, 10] [11, 10] ------------ = -------- [4, 13, 0] [4, 0] [1, 13, 8, 12] [1, 8, 12] -------------- = ---------- [4, 13, 0] [4, 0] [2, 13, 5, 14] [2, 5, 14] -------------- = ---------- [4, 13, 0] [4, 0] [3, 13, 2, 16] [3, 2, 16] -------------- = ---------- [4, 13, 0] [4, 0] denominator=, [4, 13, 3] [1, 13, 9, 14] [1, 9, 14] -------------- = ---------- [4, 13, 3] [4, 3] denominator=, [4, 13, 6] [1, 13, 10, 16] [1, 10, 16] --------------- = ----------- [4, 13, 6] [4, 6] [7, 13, 1, 2] [7, 1, 2] ------------- = --------- [4, 13, 6] [4, 6] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [4, 13, 12] [1, 13, 13, 2] [1, 13, 2] -------------- = ---------- [4, 13, 12] [4, 12] [7, 13, 10, 16] [7, 10, 16] --------------- = ----------- [4, 13, 12] [4, 12] [10, 13, 9, 14] [10, 9, 14] --------------- = ----------- [4, 13, 12] [4, 12] [16, 13, 7, 10] [16, 7, 10] --------------- = ----------- [4, 13, 12] [4, 12] [1, 1, 13, 6, 8] [1, 1, 6, 8] ---------------- = ------------ [4, 13, 12] [4, 12] [1, 7, 13, 4, 4] [1, 7, 4, 4] ---------------- = ------------ [4, 13, 12] [4, 12] [1, 10, 13, 3, 2] [1, 10, 3, 2] ----------------- = ------------- [4, 13, 12] [4, 12] [1, 16, 13, 0, 16] [1, 16, 0, 16] ------------------ = -------------- [4, 13, 12] [4, 12] denominator=, [4, 14, 10] [14, 14, 0] [14, 0] ----------- = ------- [4, 14, 10] [4, 10] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [4, 14, 10] [4, 10] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [4, 14, 10] [4, 10] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [4, 14, 10] [4, 10] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [4, 14, 10] [4, 10] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [4, 14, 10] [4, 10] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [4, 14, 10] [4, 10] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [4, 14, 10] [4, 10] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [4, 14, 10] [4, 10] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [4, 14, 10] [4, 10] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [4, 14, 10] [4, 10] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [4, 14, 10] [4, 10] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [4, 14, 10] [4, 10] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [4, 14, 10] [4, 10] denominator=, [4, 15, 11] [15, 15, 0] [15, 0] ----------- = ------- [4, 15, 11] [4, 11] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [4, 15, 11] [4, 11] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [4, 15, 11] [4, 11] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [4, 15, 11] [4, 11] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [4, 15, 11] [4, 11] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [4, 15, 11] [4, 11] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [4, 15, 11] [4, 11] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [4, 15, 11] [4, 11] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [4, 15, 11] [4, 11] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [4, 15, 11] [4, 11] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [4, 15, 11] [4, 11] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [4, 15, 11] [4, 11] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [4, 15, 11] [4, 11] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [4, 15, 11] [4, 11] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [4, 15, 11] [4, 11] denominator=, [4, 16, 5] [16, 14, 12] [14, 12] ------------ = -------- [4, 16, 5] [4, 5] [2, 16, 9, 15] [2, 9, 15] -------------- = ---------- [4, 16, 5] [4, 5] [6, 16, 0, 3] [6, 0, 3] ------------- = --------- [4, 16, 5] [4, 5] denominator=, [4, 16, 10] [11, 16, 0, 3] [11, 0, 3] -------------- = ---------- [4, 16, 10] [4, 10] denominator=, [4, 16, 12] [16, 16, 0] [16, 0] ----------- = ------- [4, 16, 12] [4, 12] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [4, 16, 12] [4, 12] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [4, 16, 12] [4, 12] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [4, 16, 12] [4, 12] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [4, 16, 12] [4, 12] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [4, 16, 12] [4, 12] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [4, 16, 12] [4, 12] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [4, 16, 12] [4, 12] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [4, 16, 12] [4, 12] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [4, 16, 12] [4, 12] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [4, 16, 12] [4, 12] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [4, 16, 12] [4, 12] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [4, 16, 12] [4, 12] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [4, 16, 12] [4, 12] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [4, 16, 12] [4, 12] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [4, 16, 12] [4, 12] denominator=, [4, 16, 14] [11, 16, 9, 15] [11, 9, 15] --------------- = ----------- [4, 16, 14] [4, 14] [1, 7, 16, 1, 9] [1, 7, 1, 9] ---------------- = ------------ [4, 16, 14] [4, 14] denominator=, [4, 16, 16] [11, 16, 14, 12] [11, 14, 12] ---------------- = ------------ [4, 16, 16] [4, 16] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [2, 3, 16, 9, 6] [2, 3, 9, 6] ---------------- = ------------ [4, 16, 16] [4, 16] [2, 17, 16, 6, 12] [2, 17, 6, 12] ------------------ = -------------- [4, 16, 16] [4, 16] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [4, 9, 16, 1, 6] [4, 9, 1, 6] ---------------- = ------------ [4, 16, 16] [4, 16] denominator=, [4, 17, 3] [17, 15, 0] [15, 0] ----------- = ------- [4, 17, 3] [4, 3] [1, 17, 12, 0] [1, 12, 0] -------------- = ---------- [4, 17, 3] [4, 3] [2, 17, 9, 0] [2, 9, 0] ------------- = --------- [4, 17, 3] [4, 3] [3, 17, 6, 0] [3, 6, 0] ------------- = --------- [4, 17, 3] [4, 3] [5, 17, 0, 0] [5, 0, 0] ------------- = --------- [4, 17, 3] [4, 3] denominator=, [4, 17, 8] [17, 16, 0] [16, 0] ----------- = ------- [4, 17, 8] [4, 8] [1, 17, 14, 0] [1, 14, 0] -------------- = ---------- [4, 17, 8] [4, 8] [2, 17, 12, 0] [2, 12, 0] -------------- = ---------- [4, 17, 8] [4, 8] [3, 17, 10, 0] [3, 10, 0] -------------- = ---------- [4, 17, 8] [4, 8] [5, 17, 6, 0] [5, 6, 0] ------------- = --------- [4, 17, 8] [4, 8] [6, 17, 4, 0] [6, 4, 0] ------------- = --------- [4, 17, 8] [4, 8] [7, 17, 2, 0] [7, 2, 0] ------------- = --------- [4, 17, 8] [4, 8] [8, 17, 0, 0] [8, 0, 0] ------------- = --------- [4, 17, 8] [4, 8] denominator=, [4, 17, 13] [17, 17, 0] [17, 0] ----------- = ------- [4, 17, 13] [4, 13] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [4, 17, 13] [4, 13] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [4, 17, 13] [4, 13] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [4, 17, 13] [4, 13] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [4, 17, 13] [4, 13] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [4, 17, 13] [4, 13] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [4, 17, 13] [4, 13] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [4, 17, 13] [4, 13] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [4, 17, 13] [4, 13] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [4, 17, 13] [4, 13] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [4, 17, 13] [4, 13] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [4, 17, 13] [4, 13] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [4, 17, 13] [4, 13] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [4, 17, 13] [4, 13] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [4, 17, 13] [4, 13] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 7, 6] [1, 10, 7, 0, 0] [1, 10, 0, 0] ---------------- = ------------- [5, 7, 6] [5, 6] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 2] [1, 11, 8, 15] [1, 8, 15] -------------- = ---------- [5, 11, 2] [5, 2] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 11, 8] [13, 11, 2, 15] [13, 2, 15] --------------- = ----------- [5, 11, 8] [5, 8] denominator=, [5, 11, 10] [1, 11, 11, 3] [1, 11, 3] -------------- = ---------- [5, 11, 10] [5, 10] [9, 11, 8, 15] [9, 8, 15] -------------- = ---------- [5, 11, 10] [5, 10] [13, 11, 7, 12] [13, 7, 12] --------------- = ----------- [5, 11, 10] [5, 10] [17, 11, 6, 9] [17, 6, 9] -------------- = ---------- [5, 11, 10] [5, 10] [1, 7, 11, 4, 3] [1, 7, 4, 3] ---------------- = ------------ [5, 11, 10] [5, 10] [1, 11, 11, 3, 0] [1, 11, 3, 0] ----------------- = ------------- [5, 11, 10] [5, 10] [1, 15, 11, 1, 15] [1, 15, 1, 15] ------------------ = -------------- [5, 11, 10] [5, 10] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [15, 13, 9] [13, 9] ----------- = ------- [5, 15, 0] [5, 0] denominator=, [5, 15, 10] [15, 15, 0] [15, 0] ----------- = ------- [5, 15, 10] [5, 10] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [5, 15, 10] [5, 10] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [5, 15, 10] [5, 10] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [5, 15, 10] [5, 10] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [5, 15, 10] [5, 10] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [5, 15, 10] [5, 10] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [5, 15, 10] [5, 10] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [5, 15, 10] [5, 10] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [5, 15, 10] [5, 10] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [5, 15, 10] [5, 10] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [5, 15, 10] [5, 10] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [5, 15, 10] [5, 10] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [5, 15, 10] [5, 10] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [5, 15, 10] [5, 10] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [5, 15, 10] [5, 10] denominator=, [5, 15, 14] [1, 12, 15, 6, 0] [1, 12, 6, 0] ----------------- = ------------- [5, 15, 14] [5, 14] denominator=, [5, 15, 15] [15, 15, 13, 9] [15, 13, 9] --------------- = ----------- [5, 15, 15] [5, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 17, 15, 10, 9] [1, 17, 10, 9] ------------------ = -------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 3, 15, 4, 9] [4, 3, 4, 9] ---------------- = ------------ [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [5, 5, 15, 1, 9] [5, 5, 1, 9] ---------------- = ------------ [5, 15, 15] [5, 15] denominator=, [5, 16, 11] [16, 16, 0] [16, 0] ----------- = ------- [5, 16, 11] [5, 11] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [5, 16, 11] [5, 11] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [5, 16, 11] [5, 11] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [5, 16, 11] [5, 11] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [5, 16, 11] [5, 11] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [5, 16, 11] [5, 11] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [5, 16, 11] [5, 11] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [5, 16, 11] [5, 11] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [5, 16, 11] [5, 11] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [5, 16, 11] [5, 11] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [5, 16, 11] [5, 11] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [5, 16, 11] [5, 11] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [5, 16, 11] [5, 11] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [5, 16, 11] [5, 11] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [5, 16, 11] [5, 11] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [5, 16, 11] [5, 11] denominator=, [6, 2, 2] [1, 14, 2, 1, 9] [1, 14, 1, 9] ---------------- = ------------- [6, 2, 2] [6, 2] [4, 12, 2, 0, 9] [4, 12, 0, 9] ---------------- = ------------- [6, 2, 2] [6, 2] denominator=, [6, 3, 2] [13, 3, 0, 12] [13, 0, 12] -------------- = ----------- [6, 3, 2] [6, 2] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 17] [8, 1, 17] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 16] [10, 0, 16] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 16] [9, 2, 16] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 12] [15, 0, 12] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 8, 7] [17, 8, 4, 9] [17, 4, 9] ------------- = ---------- [6, 8, 7] [6, 7] [1, 10, 8, 2, 0] [1, 10, 2, 0] ---------------- = ------------- [6, 8, 7] [6, 7] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 10, 8] [1, 2, 10, 2, 9] [1, 2, 2, 9] ---------------- = ------------ [6, 10, 8] [6, 8] denominator=, [6, 10, 10] [1, 16, 10, 7, 9] [1, 16, 7, 9] ----------------- = ------------- [6, 10, 10] [6, 10] [5, 0, 10, 2, 9] [5, 0, 2, 9] ---------------- = ------------ [6, 10, 10] [6, 10] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 13, 12] [1, 11, 13, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [6, 13, 12] [6, 12] [2, 16, 13, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [6, 13, 12] [6, 12] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [6, 14, 12] [1, 17, 14, 0, 0] [1, 17, 0, 0] ----------------- = ------------- [6, 14, 12] [6, 12] denominator=, [6, 14, 14] [1, 17, 14, 10, 9] [1, 17, 10, 9] ------------------ = -------------- [6, 14, 14] [6, 14] [5, 3, 14, 3, 9] [5, 3, 3, 9] ---------------- = ------------ [6, 14, 14] [6, 14] denominator=, [6, 15, 9] [15, 15, 0] [15, 0] ----------- = ------- [6, 15, 9] [6, 9] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [6, 15, 9] [6, 9] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [6, 15, 9] [6, 9] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [6, 15, 9] [6, 9] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [6, 15, 9] [6, 9] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [6, 15, 9] [6, 9] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [6, 15, 9] [6, 9] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [6, 15, 9] [6, 9] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [6, 15, 9] [6, 9] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [6, 15, 9] [6, 9] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [6, 15, 9] [6, 9] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [6, 15, 9] [6, 9] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [6, 15, 9] [6, 9] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [6, 15, 9] [6, 9] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [6, 15, 9] [6, 9] denominator=, [6, 16, 10] [16, 16, 0] [16, 0] ----------- = ------- [6, 16, 10] [6, 10] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [6, 16, 10] [6, 10] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [6, 16, 10] [6, 10] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [6, 16, 10] [6, 10] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [6, 16, 10] [6, 10] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [6, 16, 10] [6, 10] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [6, 16, 10] [6, 10] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [6, 16, 10] [6, 10] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [6, 16, 10] [6, 10] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [6, 16, 10] [6, 10] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [6, 16, 10] [6, 10] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [6, 16, 10] [6, 10] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [6, 16, 10] [6, 10] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [6, 16, 10] [6, 10] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [6, 16, 10] [6, 10] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [6, 16, 10] [6, 10] denominator=, [6, 17, 4] [17, 16, 0] [16, 0] ----------- = ------- [6, 17, 4] [6, 4] [1, 17, 14, 0] [1, 14, 0] -------------- = ---------- [6, 17, 4] [6, 4] [2, 17, 12, 0] [2, 12, 0] -------------- = ---------- [6, 17, 4] [6, 4] [3, 17, 10, 0] [3, 10, 0] -------------- = ---------- [6, 17, 4] [6, 4] [4, 17, 8, 0] [4, 8, 0] ------------- = --------- [6, 17, 4] [6, 4] [5, 17, 6, 0] [5, 6, 0] ------------- = --------- [6, 17, 4] [6, 4] [7, 17, 2, 0] [7, 2, 0] ------------- = --------- [6, 17, 4] [6, 4] [8, 17, 0, 0] [8, 0, 0] ------------- = --------- [6, 17, 4] [6, 4] denominator=, [6, 17, 11] [17, 17, 0] [17, 0] ----------- = ------- [6, 17, 11] [6, 11] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [6, 17, 11] [6, 11] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [6, 17, 11] [6, 11] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [6, 17, 11] [6, 11] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [6, 17, 11] [6, 11] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [6, 17, 11] [6, 11] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [6, 17, 11] [6, 11] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [6, 17, 11] [6, 11] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [6, 17, 11] [6, 11] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [6, 17, 11] [6, 11] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [6, 17, 11] [6, 11] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [6, 17, 11] [6, 11] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [6, 17, 11] [6, 11] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [6, 17, 11] [6, 11] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [6, 17, 11] [6, 11] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [6, 17, 11] [6, 11] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 9, 8] [2, 3, 9, 1, 9] [2, 3, 1, 9] --------------- = ------------ [7, 9, 8] [7, 8] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 9] [1, 2, 11, 4, 9] [1, 2, 4, 9] ---------------- = ------------ [7, 11, 9] [7, 9] [1, 15, 11, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [7, 11, 9] [7, 9] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 13, 10] [1, 0, 13, 4, 12] [1, 0, 4, 12] ----------------- = ------------- [7, 13, 10] [7, 10] denominator=, [7, 13, 12] [1, 0, 13, 9, 9] [1, 0, 9, 9] ---------------- = ------------ [7, 13, 12] [7, 12] [2, 4, 13, 4, 9] [2, 4, 4, 9] ---------------- = ------------ [7, 13, 12] [7, 12] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [7, 15, 8] [15, 15, 0] [15, 0] ----------- = ------- [7, 15, 8] [7, 8] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [7, 15, 8] [7, 8] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [7, 15, 8] [7, 8] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [7, 15, 8] [7, 8] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [7, 15, 8] [7, 8] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [7, 15, 8] [7, 8] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [7, 15, 8] [7, 8] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [7, 15, 8] [7, 8] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [7, 15, 8] [7, 8] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [7, 15, 8] [7, 8] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [7, 15, 8] [7, 8] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [7, 15, 8] [7, 8] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [7, 15, 8] [7, 8] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [7, 15, 8] [7, 8] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [7, 15, 8] [7, 8] denominator=, [7, 16, 0] [2, 16, 10, 12] [2, 10, 12] --------------- = ----------- [7, 16, 0] [7, 0] denominator=, [7, 16, 3] [2, 16, 11, 14] [2, 11, 14] --------------- = ----------- [7, 16, 3] [7, 3] denominator=, [7, 16, 4] [1, 16, 13, 14] [1, 13, 14] --------------- = ----------- [7, 16, 4] [7, 4] [4, 16, 8, 16] [4, 8, 16] -------------- = ---------- [7, 16, 4] [7, 4] denominator=, [7, 16, 6] [2, 16, 12, 16] [2, 12, 16] --------------- = ----------- [7, 16, 6] [7, 6] denominator=, [7, 16, 9] [16, 16, 0] [16, 0] ----------- = ------- [7, 16, 9] [7, 9] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [7, 16, 9] [7, 9] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [7, 16, 9] [7, 9] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [7, 16, 9] [7, 9] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [7, 16, 9] [7, 9] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [7, 16, 9] [7, 9] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [7, 16, 9] [7, 9] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [7, 16, 9] [7, 9] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [7, 16, 9] [7, 9] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [7, 16, 9] [7, 9] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [7, 16, 9] [7, 9] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [7, 16, 9] [7, 9] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [7, 16, 9] [7, 9] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [7, 16, 9] [7, 9] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [7, 16, 9] [7, 9] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [7, 16, 9] [7, 9] denominator=, [7, 16, 12] [2, 16, 15, 2] [2, 15, 2] -------------- = ---------- [7, 16, 12] [7, 12] [12, 16, 8, 16] [12, 8, 16] --------------- = ----------- [7, 16, 12] [7, 12] [17, 16, 5, 14] [17, 5, 14] --------------- = ----------- [7, 16, 12] [7, 12] denominator=, [7, 16, 14] [1, 16, 16, 4] [1, 16, 4] -------------- = ---------- [7, 16, 14] [7, 14] [4, 16, 15, 2] [4, 15, 2] -------------- = ---------- [7, 16, 14] [7, 14] [10, 16, 12, 16] [10, 12, 16] ---------------- = ------------ [7, 16, 14] [7, 14] [13, 16, 11, 14] [13, 11, 14] ---------------- = ------------ [7, 16, 14] [7, 14] [16, 16, 10, 12] [16, 10, 12] ---------------- = ------------ [7, 16, 14] [7, 14] [1, 1, 16, 9, 10] [1, 1, 9, 10] ----------------- = ------------- [7, 16, 14] [7, 14] [1, 7, 16, 7, 6] [1, 7, 7, 6] ---------------- = ------------ [7, 16, 14] [7, 14] [1, 10, 16, 6, 4] [1, 10, 6, 4] ----------------- = ------------- [7, 16, 14] [7, 14] [1, 13, 16, 5, 2] [1, 13, 5, 2] ----------------- = ------------- [7, 16, 14] [7, 14] [1, 16, 16, 4, 0] [1, 16, 4, 0] ----------------- = ------------- [7, 16, 14] [7, 14] [2, 4, 16, 1, 14] [2, 4, 1, 14] ----------------- = ------------- [7, 16, 14] [7, 14] [2, 7, 16, 0, 12] [2, 7, 0, 12] ----------------- = ------------- [7, 16, 14] [7, 14] denominator=, [7, 16, 15] [2, 16, 16, 4] [2, 16, 4] -------------- = ---------- [7, 16, 15] [7, 15] [12, 16, 13, 14] [12, 13, 14] ---------------- = ------------ [7, 16, 15] [7, 15] [17, 16, 12, 10] [17, 12, 10] ---------------- = ------------ [7, 16, 15] [7, 15] [1, 9, 16, 10, 2] [1, 9, 10, 2] ----------------- = ------------- [7, 16, 15] [7, 15] [1, 14, 16, 8, 16] [1, 14, 8, 16] ------------------ = -------------- [7, 16, 15] [7, 15] [2, 6, 16, 6, 8] [2, 6, 6, 8] ---------------- = ------------ [7, 16, 15] [7, 15] [2, 11, 16, 5, 4] [2, 11, 5, 4] ----------------- = ------------- [7, 16, 15] [7, 15] [3, 3, 16, 2, 14] [3, 3, 2, 14] ----------------- = ------------- [7, 16, 15] [7, 15] [3, 8, 16, 1, 10] [3, 8, 1, 10] ----------------- = ------------- [7, 16, 15] [7, 15] denominator=, [7, 17, 0] [1, 17, 13, 9] [1, 13, 9] -------------- = ---------- [7, 17, 0] [7, 0] [5, 17, 4, 9] [5, 4, 9] ------------- = --------- [7, 17, 0] [7, 0] denominator=, [7, 17, 2] [17, 16, 0] [16, 0] ----------- = ------- [7, 17, 2] [7, 2] [1, 17, 14, 0] [1, 14, 0] -------------- = ---------- [7, 17, 2] [7, 2] [2, 17, 12, 0] [2, 12, 0] -------------- = ---------- [7, 17, 2] [7, 2] [4, 17, 8, 0] [4, 8, 0] ------------- = --------- [7, 17, 2] [7, 2] [5, 17, 6, 0] [5, 6, 0] ------------- = --------- [7, 17, 2] [7, 2] [6, 17, 4, 0] [6, 4, 0] ------------- = --------- [7, 17, 2] [7, 2] [8, 17, 0, 0] [8, 0, 0] ------------- = --------- [7, 17, 2] [7, 2] denominator=, [7, 17, 4] [1, 17, 14, 9] [1, 14, 9] -------------- = ---------- [7, 17, 4] [7, 4] [5, 17, 7, 9] [5, 7, 9] ------------- = --------- [7, 17, 4] [7, 4] [9, 17, 0, 9] [9, 0, 9] ------------- = --------- [7, 17, 4] [7, 4] denominator=, [7, 17, 6] [17, 16, 9] [16, 9] ----------- = ------- [7, 17, 6] [7, 6] [1, 17, 15, 0] [1, 15, 0] -------------- = ---------- [7, 17, 6] [7, 6] [2, 17, 13, 9] [2, 13, 9] -------------- = ---------- [7, 17, 6] [7, 6] [4, 17, 10, 9] [4, 10, 9] -------------- = ---------- [7, 17, 6] [7, 6] [5, 17, 9, 0] [5, 9, 0] ------------- = --------- [7, 17, 6] [7, 6] [6, 17, 7, 9] [6, 7, 9] ------------- = --------- [7, 17, 6] [7, 6] [8, 17, 4, 9] [8, 4, 9] ------------- = --------- [7, 17, 6] [7, 6] [9, 17, 3, 0] [9, 3, 0] ------------- = --------- [7, 17, 6] [7, 6] [10, 17, 1, 9] [10, 1, 9] -------------- = ---------- [7, 17, 6] [7, 6] denominator=, [7, 17, 8] [1, 17, 15, 9] [1, 15, 9] -------------- = ---------- [7, 17, 8] [7, 8] [5, 17, 10, 9] [5, 10, 9] -------------- = ---------- [7, 17, 8] [7, 8] [9, 17, 5, 9] [9, 5, 9] ------------- = --------- [7, 17, 8] [7, 8] [13, 17, 0, 9] [13, 0, 9] -------------- = ---------- [7, 17, 8] [7, 8] denominator=, [7, 17, 10] [17, 17, 0] [17, 0] ----------- = ------- [7, 17, 10] [7, 10] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [7, 17, 10] [7, 10] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [7, 17, 10] [7, 10] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [7, 17, 10] [7, 10] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [7, 17, 10] [7, 10] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [7, 17, 10] [7, 10] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [7, 17, 10] [7, 10] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [7, 17, 10] [7, 10] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [7, 17, 10] [7, 10] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [7, 17, 10] [7, 10] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [7, 17, 10] [7, 10] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [7, 17, 10] [7, 10] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [7, 17, 10] [7, 10] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [7, 17, 10] [7, 10] denominator=, [7, 17, 12] [1, 17, 16, 9] [1, 16, 9] -------------- = ---------- [7, 17, 12] [7, 12] [5, 17, 13, 9] [5, 13, 9] -------------- = ---------- [7, 17, 12] [7, 12] [9, 17, 10, 9] [9, 10, 9] -------------- = ---------- [7, 17, 12] [7, 12] [13, 17, 7, 9] [13, 7, 9] -------------- = ---------- [7, 17, 12] [7, 12] [17, 17, 4, 9] [17, 4, 9] -------------- = ---------- [7, 17, 12] [7, 12] [1, 3, 17, 1, 9] [1, 3, 1, 9] ---------------- = ------------ [7, 17, 12] [7, 12] denominator=, [7, 17, 14] [17, 17, 9] [17, 9] ----------- = ------- [7, 17, 14] [7, 14] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [7, 17, 14] [7, 14] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [7, 17, 14] [7, 14] [4, 17, 15, 9] [4, 15, 9] -------------- = ---------- [7, 17, 14] [7, 14] [5, 17, 15, 0] [5, 15, 0] -------------- = ---------- [7, 17, 14] [7, 14] [6, 17, 14, 9] [6, 14, 9] -------------- = ---------- [7, 17, 14] [7, 14] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [7, 17, 14] [7, 14] [9, 17, 13, 0] [9, 13, 0] -------------- = ---------- [7, 17, 14] [7, 14] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [7, 17, 14] [7, 14] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [7, 17, 14] [7, 14] [13, 17, 11, 0] [13, 11, 0] --------------- = ----------- [7, 17, 14] [7, 14] [14, 17, 10, 9] [14, 10, 9] --------------- = ----------- [7, 17, 14] [7, 14] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [7, 17, 14] [7, 14] [17, 17, 9, 0] [17, 9, 0] -------------- = ---------- [7, 17, 14] [7, 14] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 2, 17, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 3, 17, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 6, 17, 5, 9] [1, 6, 5, 9] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 7, 17, 5, 0] [1, 7, 5, 0] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [7, 17, 14] [7, 14] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [7, 17, 14] [7, 14] [1, 11, 17, 3, 0] [1, 11, 3, 0] ----------------- = ------------- [7, 17, 14] [7, 14] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [7, 17, 14] [7, 14] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [7, 17, 14] [7, 14] [1, 15, 17, 1, 0] [1, 15, 1, 0] ----------------- = ------------- [7, 17, 14] [7, 14] [1, 16, 17, 0, 9] [1, 16, 0, 9] ----------------- = ------------- [7, 17, 14] [7, 14] denominator=, [7, 17, 16] [1, 17, 17, 9] [1, 17, 9] -------------- = ---------- [7, 17, 16] [7, 16] [5, 17, 16, 9] [5, 16, 9] -------------- = ---------- [7, 17, 16] [7, 16] [9, 17, 15, 9] [9, 15, 9] -------------- = ---------- [7, 17, 16] [7, 16] [13, 17, 14, 9] [13, 14, 9] --------------- = ----------- [7, 17, 16] [7, 16] [17, 17, 13, 9] [17, 13, 9] --------------- = ----------- [7, 17, 16] [7, 16] [1, 3, 17, 12, 9] [1, 3, 12, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [1, 7, 17, 11, 9] [1, 7, 11, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [1, 11, 17, 10, 9] [1, 11, 10, 9] ------------------ = -------------- [7, 17, 16] [7, 16] [1, 15, 17, 9, 9] [1, 15, 9, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [2, 1, 17, 8, 9] [2, 1, 8, 9] ---------------- = ------------ [7, 17, 16] [7, 16] [2, 5, 17, 7, 9] [2, 5, 7, 9] ---------------- = ------------ [7, 17, 16] [7, 16] [2, 9, 17, 6, 9] [2, 9, 6, 9] ---------------- = ------------ [7, 17, 16] [7, 16] [2, 13, 17, 5, 9] [2, 13, 5, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [2, 17, 17, 4, 9] [2, 17, 4, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [3, 3, 17, 3, 9] [3, 3, 3, 9] ---------------- = ------------ [7, 17, 16] [7, 16] [3, 7, 17, 2, 9] [3, 7, 2, 9] ---------------- = ------------ [7, 17, 16] [7, 16] [3, 11, 17, 1, 9] [3, 11, 1, 9] ----------------- = ------------- [7, 17, 16] [7, 16] [3, 15, 17, 0, 9] [3, 15, 0, 9] ----------------- = ------------- [7, 17, 16] [7, 16] denominator=, [8, 4, 3] [1, 0, 4, 1, 9] [1, 0, 1, 9] --------------- = ------------ [8, 4, 3] [8, 3] [1, 10, 4, 0, 0] [1, 10, 0, 0] ---------------- = ------------- [8, 4, 3] [8, 3] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 17] [10, 2, 17] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 16] [12, 1, 16] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 15] [14, 0, 15] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 15] [12, 4, 15] -------------- = ----------- [8, 8, 6] [8, 6] [1, 2, 8, 2, 9] [1, 2, 2, 9] --------------- = ------------ [8, 8, 6] [8, 6] [1, 10, 8, 0, 3] [1, 10, 0, 3] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 11, 10] [1, 11, 11, 6] [1, 11, 6] -------------- = ---------- [8, 11, 10] [8, 10] [15, 11, 8, 12] [15, 8, 12] --------------- = ----------- [8, 11, 10] [8, 10] [1, 4, 11, 7, 6] [1, 4, 7, 6] ---------------- = ------------ [8, 11, 10] [8, 10] [1, 11, 11, 6, 0] [1, 11, 6, 0] ----------------- = ------------- [8, 11, 10] [8, 10] [2, 0, 11, 4, 12] [2, 0, 4, 12] ----------------- = ------------- [8, 11, 10] [8, 10] [2, 7, 11, 3, 6] [2, 7, 3, 6] ---------------- = ------------ [8, 11, 10] [8, 10] [2, 14, 11, 2, 0] [2, 14, 2, 0] ----------------- = ------------- [8, 11, 10] [8, 10] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 14, 1] [3, 14, 8, 15] [3, 8, 15] -------------- = ---------- [8, 14, 1] [8, 1] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 14, 11] [3, 14, 13, 3] [3, 13, 3] -------------- = ---------- [8, 14, 11] [8, 11] [13, 14, 8, 15] [13, 8, 15] --------------- = ----------- [8, 14, 11] [8, 11] [1, 0, 14, 6, 12] [1, 0, 6, 12] ----------------- = ------------- [8, 14, 11] [8, 11] [1, 5, 14, 4, 9] [1, 5, 4, 9] ---------------- = ------------ [8, 14, 11] [8, 11] [1, 10, 14, 2, 6] [1, 10, 2, 6] ----------------- = ------------- [8, 14, 11] [8, 11] denominator=, [8, 15, 7] [15, 15, 0] [15, 0] ----------- = ------- [8, 15, 7] [8, 7] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [8, 15, 7] [8, 7] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [8, 15, 7] [8, 7] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [8, 15, 7] [8, 7] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [8, 15, 7] [8, 7] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [8, 15, 7] [8, 7] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [8, 15, 7] [8, 7] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [8, 15, 7] [8, 7] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [8, 15, 7] [8, 7] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [8, 15, 7] [8, 7] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [8, 15, 7] [8, 7] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [8, 15, 7] [8, 7] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [8, 15, 7] [8, 7] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [8, 15, 7] [8, 7] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [8, 15, 7] [8, 7] denominator=, [8, 16, 8] [16, 16, 0] [16, 0] ----------- = ------- [8, 16, 8] [8, 8] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [8, 16, 8] [8, 8] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [8, 16, 8] [8, 8] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [8, 16, 8] [8, 8] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [8, 16, 8] [8, 8] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [8, 16, 8] [8, 8] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [8, 16, 8] [8, 8] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [8, 16, 8] [8, 8] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [8, 16, 8] [8, 8] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [8, 16, 8] [8, 8] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [8, 16, 8] [8, 8] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [8, 16, 8] [8, 8] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [8, 16, 8] [8, 8] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [8, 16, 8] [8, 8] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [8, 16, 8] [8, 8] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [8, 16, 8] [8, 8] denominator=, [8, 16, 12] [1, 9, 16, 1, 9] [1, 9, 1, 9] ---------------- = ------------ [8, 16, 12] [8, 12] denominator=, [8, 16, 14] [2, 10, 16, 1, 9] [2, 10, 1, 9] ----------------- = ------------- [8, 16, 14] [8, 14] denominator=, [8, 16, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 10, 16, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [6, 14, 16, 4, 0] [6, 14, 4, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] denominator=, [9, 3, 2] [1, 4, 3, 0, 6] [1, 4, 0, 6] --------------- = ------------ [9, 3, 2] [9, 2] denominator=, [9, 7, 6] [1, 1, 7, 4, 9] [1, 1, 4, 9] --------------- = ------------ [9, 7, 6] [9, 6] [1, 11, 7, 3, 0] [1, 11, 3, 0] ---------------- = ------------- [9, 7, 6] [9, 6] [2, 3, 7, 1, 9] [2, 3, 1, 9] --------------- = ------------ [9, 7, 6] [9, 6] [2, 13, 7, 0, 0] [2, 13, 0, 0] ---------------- = ------------- [9, 7, 6] [9, 6] denominator=, [9, 8, 6] [1, 14, 8, 0, 0] [1, 14, 0, 0] ---------------- = ------------- [9, 8, 6] [9, 6] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 17] [12, 0, 17] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 16] [12, 4, 16] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 14] [15, 3, 14] -------------- = ----------- [9, 9, 6] [9, 6] [1, 3, 9, 1, 10] [1, 3, 1, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 0, 8] [1, 6, 0, 8] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 11, 10] [2, 14, 11, 3, 0] [2, 14, 3, 0] ----------------- = ------------- [9, 11, 10] [9, 10] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 8] [1, 2, 12, 2, 12] [1, 2, 2, 12] ----------------- = ------------- [9, 12, 8] [9, 8] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 15, 2] [2, 15, 11, 15] [2, 11, 15] --------------- = ----------- [9, 15, 2] [9, 2] denominator=, [9, 15, 6] [15, 15, 0] [15, 0] ----------- = ------- [9, 15, 6] [9, 6] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [9, 15, 6] [9, 6] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [9, 15, 6] [9, 6] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [9, 15, 6] [9, 6] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [9, 15, 6] [9, 6] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [9, 15, 6] [9, 6] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [9, 15, 6] [9, 6] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [9, 15, 6] [9, 6] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [9, 15, 6] [9, 6] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [9, 15, 6] [9, 6] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [9, 15, 6] [9, 6] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [9, 15, 6] [9, 6] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [9, 15, 6] [9, 6] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [9, 15, 6] [9, 6] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [9, 15, 6] [9, 6] denominator=, [9, 15, 10] [2, 15, 14, 3] [2, 14, 3] -------------- = ---------- [9, 15, 10] [9, 10] [16, 15, 5, 15] [16, 5, 15] --------------- = ----------- [9, 15, 10] [9, 10] [1, 5, 15, 1, 12] [1, 5, 1, 12] ----------------- = ------------- [9, 15, 10] [9, 10] denominator=, [9, 15, 12] [1, 5, 15, 6, 9] [1, 5, 6, 9] ---------------- = ------------ [9, 15, 12] [9, 12] denominator=, [9, 15, 13] [1, 15, 15, 6] [1, 15, 6] -------------- = ---------- [9, 15, 13] [9, 13] [5, 15, 14, 3] [5, 14, 3] -------------- = ---------- [9, 15, 13] [9, 13] [13, 15, 11, 15] [13, 11, 15] ---------------- = ------------ [9, 15, 13] [9, 13] [17, 15, 10, 12] [17, 10, 12] ---------------- = ------------ [9, 15, 13] [9, 13] [1, 3, 15, 9, 9] [1, 3, 9, 9] ---------------- = ------------ [9, 15, 13] [9, 13] [1, 7, 15, 8, 6] [1, 7, 8, 6] ---------------- = ------------ [9, 15, 13] [9, 13] [1, 11, 15, 7, 3] [1, 11, 7, 3] ----------------- = ------------- [9, 15, 13] [9, 13] [1, 15, 15, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [9, 15, 13] [9, 13] [2, 5, 15, 3, 12] [2, 5, 3, 12] ----------------- = ------------- [9, 15, 13] [9, 13] [2, 9, 15, 2, 9] [2, 9, 2, 9] ---------------- = ------------ [9, 15, 13] [9, 13] [2, 13, 15, 1, 6] [2, 13, 1, 6] ----------------- = ------------- [9, 15, 13] [9, 13] [2, 17, 15, 0, 3] [2, 17, 0, 3] ----------------- = ------------- [9, 15, 13] [9, 13] denominator=, [9, 15, 14] [2, 15, 15, 6] [2, 15, 6] -------------- = ---------- [9, 15, 14] [9, 14] [16, 15, 12, 12] [16, 12, 12] ---------------- = ------------ [9, 15, 14] [9, 14] [1, 5, 15, 11, 6] [1, 5, 11, 6] ----------------- = ------------- [9, 15, 14] [9, 14] [1, 12, 15, 10, 0] [1, 12, 10, 0] ------------------ = -------------- [9, 15, 14] [9, 14] [2, 8, 15, 7, 6] [2, 8, 7, 6] ---------------- = ------------ [9, 15, 14] [9, 14] [2, 15, 15, 6, 0] [2, 15, 6, 0] ----------------- = ------------- [9, 15, 14] [9, 14] [3, 4, 15, 4, 12] [3, 4, 4, 12] ----------------- = ------------- [9, 15, 14] [9, 14] [4, 0, 15, 2, 0] [4, 0, 2, 0] ---------------- = ------------ [9, 15, 14] [9, 14] [4, 7, 15, 0, 12] [4, 7, 0, 12] ----------------- = ------------- [9, 15, 14] [9, 14] denominator=, [9, 16, 7] [16, 16, 0] [16, 0] ----------- = ------- [9, 16, 7] [9, 7] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [9, 16, 7] [9, 7] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [9, 16, 7] [9, 7] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [9, 16, 7] [9, 7] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [9, 16, 7] [9, 7] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [9, 16, 7] [9, 7] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [9, 16, 7] [9, 7] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [9, 16, 7] [9, 7] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [9, 16, 7] [9, 7] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [9, 16, 7] [9, 7] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [9, 16, 7] [9, 7] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [9, 16, 7] [9, 7] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [9, 16, 7] [9, 7] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [9, 16, 7] [9, 7] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [9, 16, 7] [9, 7] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [9, 16, 7] [9, 7] denominator=, [9, 17, 3] [17, 16, 9] [16, 9] ----------- = ------- [9, 17, 3] [9, 3] [1, 17, 15, 0] [1, 15, 0] -------------- = ---------- [9, 17, 3] [9, 3] [2, 17, 13, 9] [2, 13, 9] -------------- = ---------- [9, 17, 3] [9, 3] [3, 17, 12, 0] [3, 12, 0] -------------- = ---------- [9, 17, 3] [9, 3] [5, 17, 9, 0] [5, 9, 0] ------------- = --------- [9, 17, 3] [9, 3] [6, 17, 7, 9] [6, 7, 9] ------------- = --------- [9, 17, 3] [9, 3] [7, 17, 6, 0] [7, 6, 0] ------------- = --------- [9, 17, 3] [9, 3] [8, 17, 4, 9] [8, 4, 9] ------------- = --------- [9, 17, 3] [9, 3] [10, 17, 1, 9] [10, 1, 9] -------------- = ---------- [9, 17, 3] [9, 3] [11, 17, 0, 0] [11, 0, 0] -------------- = ---------- [9, 17, 3] [9, 3] denominator=, [9, 17, 8] [17, 17, 0] [17, 0] ----------- = ------- [9, 17, 8] [9, 8] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [9, 17, 8] [9, 8] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [9, 17, 8] [9, 8] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [9, 17, 8] [9, 8] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [9, 17, 8] [9, 8] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [9, 17, 8] [9, 8] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [9, 17, 8] [9, 8] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [9, 17, 8] [9, 8] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [9, 17, 8] [9, 8] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [9, 17, 8] [9, 8] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [9, 17, 8] [9, 8] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [9, 17, 8] [9, 8] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [9, 17, 8] [9, 8] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [9, 17, 8] [9, 8] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [9, 17, 8] [9, 8] denominator=, [9, 17, 13] [17, 17, 9] [17, 9] ----------- = ------- [9, 17, 13] [9, 13] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [9, 17, 13] [9, 13] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [9, 17, 13] [9, 13] [3, 17, 16, 0] [3, 16, 0] -------------- = ---------- [9, 17, 13] [9, 13] [5, 17, 15, 0] [5, 15, 0] -------------- = ---------- [9, 17, 13] [9, 13] [6, 17, 14, 9] [6, 14, 9] -------------- = ---------- [9, 17, 13] [9, 13] [7, 17, 14, 0] [7, 14, 0] -------------- = ---------- [9, 17, 13] [9, 13] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [9, 17, 13] [9, 13] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [9, 17, 13] [9, 13] [11, 17, 12, 0] [11, 12, 0] --------------- = ----------- [9, 17, 13] [9, 13] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [9, 17, 13] [9, 13] [13, 17, 11, 0] [13, 11, 0] --------------- = ----------- [9, 17, 13] [9, 13] [15, 17, 10, 0] [15, 10, 0] --------------- = ----------- [9, 17, 13] [9, 13] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [9, 17, 13] [9, 13] [17, 17, 9, 0] [17, 9, 0] -------------- = ---------- [9, 17, 13] [9, 13] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 2, 17, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 3, 17, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 5, 17, 6, 0] [1, 5, 6, 0] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 7, 17, 5, 0] [1, 7, 5, 0] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 9, 17, 4, 0] [1, 9, 4, 0] ---------------- = ------------ [9, 17, 13] [9, 13] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [9, 17, 13] [9, 13] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [9, 17, 13] [9, 13] [1, 13, 17, 2, 0] [1, 13, 2, 0] ----------------- = ------------- [9, 17, 13] [9, 13] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [9, 17, 13] [9, 13] [1, 15, 17, 1, 0] [1, 15, 1, 0] ----------------- = ------------- [9, 17, 13] [9, 13] [1, 17, 17, 0, 0] [1, 17, 0, 0] ----------------- = ------------- [9, 17, 13] [9, 13] denominator=, [10, 2, 2] [2, 17, 2, 1, 9] [2, 17, 1, 9] ---------------- = ------------- [10, 2, 2] [10, 2] [7, 13, 2, 0, 9] [7, 13, 0, 9] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 6, 4] [1, 3, 6, 1, 9] [1, 3, 1, 9] --------------- = ------------ [10, 6, 4] [10, 4] denominator=, [10, 6, 6] [3, 0, 6, 4, 9] [3, 0, 4, 9] --------------- = ------------ [10, 6, 6] [10, 6] [7, 16, 6, 1, 9] [7, 16, 1, 9] ---------------- = ------------- [10, 6, 6] [10, 6] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [15, 10, 0, 16] [15, 0, 16] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 17] [12, 3, 17] --------------- = ----------- [10, 10, 5] [10, 5] [14, 10, 2, 16] [14, 2, 16] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 15] [16, 1, 15] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 0, 14] [1, 0, 0, 14] ----------------- = ------------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [15, 10, 3, 15] [15, 3, 15] --------------- = ----------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [15, 10, 6, 14] [15, 6, 14] --------------- = ----------- [10, 10, 8] [10, 8] [1, 7, 10, 4, 6] [1, 7, 4, 6] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 17, 10, 1, 16] [1, 17, 1, 16] ------------------ = -------------- [10, 10, 8] [10, 8] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 12, 9] [1, 5, 12, 4, 9] [1, 5, 4, 9] ---------------- = ------------ [10, 12, 9] [10, 9] [2, 0, 12, 0, 0] [2, 0, 0, 0] ---------------- = ------------ [10, 12, 9] [10, 9] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [10, 14, 12] [1, 15, 14, 6, 0] [1, 15, 6, 0] ----------------- = ------------- [10, 14, 12] [10, 12] [3, 2, 14, 0, 0] [3, 2, 0, 0] ---------------- = ------------ [10, 14, 12] [10, 12] denominator=, [10, 14, 14] [3, 2, 14, 10, 9] [3, 2, 10, 9] ----------------- = ------------- [10, 14, 14] [10, 14] [8, 4, 14, 3, 9] [8, 4, 3, 9] ---------------- = ------------ [10, 14, 14] [10, 14] denominator=, [10, 15, 5] [15, 15, 0] [15, 0] ----------- = ------- [10, 15, 5] [10, 5] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [10, 15, 5] [10, 5] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [10, 15, 5] [10, 5] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [10, 15, 5] [10, 5] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [10, 15, 5] [10, 5] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [10, 15, 5] [10, 5] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [10, 15, 5] [10, 5] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [10, 15, 5] [10, 5] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [10, 15, 5] [10, 5] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [10, 15, 5] [10, 5] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [10, 15, 5] [10, 5] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [10, 15, 5] [10, 5] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [10, 15, 5] [10, 5] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [10, 15, 5] [10, 5] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [10, 15, 5] [10, 5] denominator=, [10, 15, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [10, 16, 6] [16, 16, 0] [16, 0] ----------- = ------- [10, 16, 6] [10, 6] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [10, 16, 6] [10, 6] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [10, 16, 6] [10, 6] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [10, 16, 6] [10, 6] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [10, 16, 6] [10, 6] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [10, 16, 6] [10, 6] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [10, 16, 6] [10, 6] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [10, 16, 6] [10, 6] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [10, 16, 6] [10, 6] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [10, 16, 6] [10, 6] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [10, 16, 6] [10, 6] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [10, 16, 6] [10, 6] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [10, 16, 6] [10, 6] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [10, 16, 6] [10, 6] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [10, 16, 6] [10, 6] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [10, 16, 6] [10, 6] denominator=, [10, 17, 7] [17, 17, 0] [17, 0] ----------- = ------- [10, 17, 7] [10, 7] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [10, 17, 7] [10, 7] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [10, 17, 7] [10, 7] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [10, 17, 7] [10, 7] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [10, 17, 7] [10, 7] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [10, 17, 7] [10, 7] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [10, 17, 7] [10, 7] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [10, 17, 7] [10, 7] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [10, 17, 7] [10, 7] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [10, 17, 7] [10, 7] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [10, 17, 7] [10, 7] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [10, 17, 7] [10, 7] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [10, 17, 7] [10, 7] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [10, 17, 7] [10, 7] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [10, 17, 7] [10, 7] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [10, 17, 7] [10, 7] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [10, 17, 7] [10, 7] denominator=, [11, 2, 0] [4, 2, 1, 6] [4, 1, 6] ------------ = --------- [11, 2, 0] [11, 0] denominator=, [11, 3, 2] [1, 12, 3, 0, 0] [1, 12, 0, 0] ---------------- = ------------- [11, 3, 2] [11, 2] denominator=, [11, 5, 2] [3, 5, 4, 6] [3, 4, 6] ------------ = --------- [11, 5, 2] [11, 2] [7, 5, 3, 3] [7, 3, 3] ------------ = --------- [11, 5, 2] [11, 2] [15, 5, 0, 15] [15, 0, 15] -------------- = ----------- [11, 5, 2] [11, 2] denominator=, [11, 5, 4] [1, 9, 5, 2, 3] [1, 9, 2, 3] --------------- = ------------ [11, 5, 4] [11, 4] denominator=, [11, 8, 7] [1, 6, 8, 5, 6] [1, 6, 5, 6] --------------- = ------------ [11, 8, 7] [11, 7] [2, 1, 8, 3, 12] [2, 1, 3, 12] ---------------- = ------------- [11, 8, 7] [11, 7] [2, 14, 8, 2, 0] [2, 14, 2, 0] ---------------- = ------------- [11, 8, 7] [11, 7] [3, 9, 8, 0, 6] [3, 9, 0, 6] --------------- = ------------ [11, 8, 7] [11, 7] denominator=, [11, 9, 8] [3, 6, 9, 1, 9] [3, 6, 1, 9] --------------- = ------------ [11, 9, 8] [11, 8] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 13, 10] [2, 0, 13, 2, 0] [2, 0, 2, 0] ---------------- = ------------ [11, 13, 10] [11, 10] denominator=, [11, 13, 12] [1, 13, 13, 9] [1, 13, 9] -------------- = ---------- [11, 13, 12] [11, 12] [1, 3, 13, 10, 9] [1, 3, 10, 9] ----------------- = ------------- [11, 13, 12] [11, 12] [1, 13, 13, 9, 0] [1, 13, 9, 0] ----------------- = ------------- [11, 13, 12] [11, 12] [2, 5, 13, 7, 9] [2, 5, 7, 9] ---------------- = ------------ [11, 13, 12] [11, 12] [2, 15, 13, 6, 0] [2, 15, 6, 0] ----------------- = ------------- [11, 13, 12] [11, 12] [3, 7, 13, 4, 9] [3, 7, 4, 9] ---------------- = ------------ [11, 13, 12] [11, 12] [3, 17, 13, 3, 0] [3, 17, 3, 0] ----------------- = ------------- [11, 13, 12] [11, 12] [4, 9, 13, 1, 9] [4, 9, 1, 9] ---------------- = ------------ [11, 13, 12] [11, 12] [5, 1, 13, 0, 0] [5, 1, 0, 0] ---------------- = ------------ [11, 13, 12] [11, 12] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 15, 4] [15, 15, 0] [15, 0] ----------- = ------- [11, 15, 4] [11, 4] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [11, 15, 4] [11, 4] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [11, 15, 4] [11, 4] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [11, 15, 4] [11, 4] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [11, 15, 4] [11, 4] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [11, 15, 4] [11, 4] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [11, 15, 4] [11, 4] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [11, 15, 4] [11, 4] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [11, 15, 4] [11, 4] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [11, 15, 4] [11, 4] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [11, 15, 4] [11, 4] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [11, 15, 4] [11, 4] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [11, 15, 4] [11, 4] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [11, 15, 4] [11, 4] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [11, 15, 4] [11, 4] denominator=, [11, 16, 5] [16, 16, 0] [16, 0] ----------- = ------- [11, 16, 5] [11, 5] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [11, 16, 5] [11, 5] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [11, 16, 5] [11, 5] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [11, 16, 5] [11, 5] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [11, 16, 5] [11, 5] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [11, 16, 5] [11, 5] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [11, 16, 5] [11, 5] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [11, 16, 5] [11, 5] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [11, 16, 5] [11, 5] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [11, 16, 5] [11, 5] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [11, 16, 5] [11, 5] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [11, 16, 5] [11, 5] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [11, 16, 5] [11, 5] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [11, 16, 5] [11, 5] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [11, 16, 5] [11, 5] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [11, 16, 5] [11, 5] denominator=, [11, 16, 12] [2, 4, 16, 0, 0] [2, 4, 0, 0] ---------------- = ------------ [11, 16, 12] [11, 12] denominator=, [11, 17, 0] [17, 16, 9] [16, 9] ----------- = ------- [11, 17, 0] [11, 0] [2, 17, 13, 9] [2, 13, 9] -------------- = ---------- [11, 17, 0] [11, 0] [4, 17, 10, 9] [4, 10, 9] -------------- = ---------- [11, 17, 0] [11, 0] [6, 17, 7, 9] [6, 7, 9] ------------- = --------- [11, 17, 0] [11, 0] [8, 17, 4, 9] [8, 4, 9] ------------- = --------- [11, 17, 0] [11, 0] [10, 17, 1, 9] [10, 1, 9] -------------- = ---------- [11, 17, 0] [11, 0] denominator=, [11, 17, 2] [17, 16, 12] [16, 12] ------------ = -------- [11, 17, 2] [11, 2] [2, 17, 14, 0] [2, 14, 0] -------------- = ---------- [11, 17, 2] [11, 2] [4, 17, 11, 6] [4, 11, 6] -------------- = ---------- [11, 17, 2] [11, 2] [6, 17, 8, 12] [6, 8, 12] -------------- = ---------- [11, 17, 2] [11, 2] [8, 17, 6, 0] [8, 6, 0] ------------- = --------- [11, 17, 2] [11, 2] [10, 17, 3, 6] [10, 3, 6] -------------- = ---------- [11, 17, 2] [11, 2] [12, 17, 0, 12] [12, 0, 12] --------------- = ----------- [11, 17, 2] [11, 2] denominator=, [11, 17, 4] [17, 16, 15] [16, 15] ------------ = -------- [11, 17, 4] [11, 4] [2, 17, 14, 9] [2, 14, 9] -------------- = ---------- [11, 17, 4] [11, 4] [4, 17, 12, 3] [4, 12, 3] -------------- = ---------- [11, 17, 4] [11, 4] [6, 17, 9, 15] [6, 9, 15] -------------- = ---------- [11, 17, 4] [11, 4] [8, 17, 7, 9] [8, 7, 9] ------------- = --------- [11, 17, 4] [11, 4] [10, 17, 5, 3] [10, 5, 3] -------------- = ---------- [11, 17, 4] [11, 4] [12, 17, 2, 15] [12, 2, 15] --------------- = ----------- [11, 17, 4] [11, 4] [14, 17, 0, 9] [14, 0, 9] -------------- = ---------- [11, 17, 4] [11, 4] denominator=, [11, 17, 6] [17, 17, 0] [17, 0] ----------- = ------- [11, 17, 6] [11, 6] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [11, 17, 6] [11, 6] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [11, 17, 6] [11, 6] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [11, 17, 6] [11, 6] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [11, 17, 6] [11, 6] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [11, 17, 6] [11, 6] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [11, 17, 6] [11, 6] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [11, 17, 6] [11, 6] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [11, 17, 6] [11, 6] denominator=, [11, 17, 8] [17, 17, 3] [17, 3] ----------- = ------- [11, 17, 8] [11, 8] [2, 17, 15, 9] [2, 15, 9] -------------- = ---------- [11, 17, 8] [11, 8] [4, 17, 13, 15] [4, 13, 15] --------------- = ----------- [11, 17, 8] [11, 8] [6, 17, 12, 3] [6, 12, 3] -------------- = ---------- [11, 17, 8] [11, 8] [8, 17, 10, 9] [8, 10, 9] -------------- = ---------- [11, 17, 8] [11, 8] [10, 17, 8, 15] [10, 8, 15] --------------- = ----------- [11, 17, 8] [11, 8] [12, 17, 7, 3] [12, 7, 3] -------------- = ---------- [11, 17, 8] [11, 8] [14, 17, 5, 9] [14, 5, 9] -------------- = ---------- [11, 17, 8] [11, 8] [16, 17, 3, 15] [16, 3, 15] --------------- = ----------- [11, 17, 8] [11, 8] [1, 0, 17, 2, 3] [1, 0, 2, 3] ---------------- = ------------ [11, 17, 8] [11, 8] [1, 2, 17, 0, 9] [1, 2, 0, 9] ---------------- = ------------ [11, 17, 8] [11, 8] denominator=, [11, 17, 10] [17, 17, 6] [17, 6] ------------ = -------- [11, 17, 10] [11, 10] [2, 17, 16, 0] [2, 16, 0] -------------- = ---------- [11, 17, 10] [11, 10] [4, 17, 14, 12] [4, 14, 12] --------------- = ----------- [11, 17, 10] [11, 10] [6, 17, 13, 6] [6, 13, 6] -------------- = ---------- [11, 17, 10] [11, 10] [8, 17, 12, 0] [8, 12, 0] -------------- = ---------- [11, 17, 10] [11, 10] [10, 17, 10, 12] [10, 10, 12] ---------------- = ------------ [11, 17, 10] [11, 10] [12, 17, 9, 6] [12, 9, 6] -------------- = ---------- [11, 17, 10] [11, 10] [14, 17, 8, 0] [14, 8, 0] -------------- = ---------- [11, 17, 10] [11, 10] [16, 17, 6, 12] [16, 6, 12] --------------- = ----------- [11, 17, 10] [11, 10] [1, 0, 17, 5, 6] [1, 0, 5, 6] ---------------- = ------------ [11, 17, 10] [11, 10] [1, 2, 17, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [11, 17, 10] [11, 10] [1, 4, 17, 2, 12] [1, 4, 2, 12] ----------------- = ------------- [11, 17, 10] [11, 10] [1, 6, 17, 1, 6] [1, 6, 1, 6] ---------------- = ------------ [11, 17, 10] [11, 10] [1, 8, 17, 0, 0] [1, 8, 0, 0] ---------------- = ------------ [11, 17, 10] [11, 10] denominator=, [11, 17, 12] [17, 17, 9] [17, 9] ------------ = -------- [11, 17, 12] [11, 12] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [11, 17, 12] [11, 12] [4, 17, 15, 9] [4, 15, 9] -------------- = ---------- [11, 17, 12] [11, 12] [6, 17, 14, 9] [6, 14, 9] -------------- = ---------- [11, 17, 12] [11, 12] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [11, 17, 12] [11, 12] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [11, 17, 12] [11, 12] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [11, 17, 12] [11, 12] [14, 17, 10, 9] [14, 10, 9] --------------- = ----------- [11, 17, 12] [11, 12] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [11, 17, 12] [11, 12] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [11, 17, 12] [11, 12] [1, 2, 17, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [11, 17, 12] [11, 12] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [11, 17, 12] [11, 12] [1, 6, 17, 5, 9] [1, 6, 5, 9] ---------------- = ------------ [11, 17, 12] [11, 12] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [11, 17, 12] [11, 12] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [11, 17, 12] [11, 12] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [11, 17, 12] [11, 12] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [11, 17, 12] [11, 12] [1, 16, 17, 0, 9] [1, 16, 0, 9] ----------------- = ------------- [11, 17, 12] [11, 12] denominator=, [11, 17, 14] [17, 17, 12] [17, 12] ------------ = -------- [11, 17, 14] [11, 14] [2, 17, 17, 0] [2, 17, 0] -------------- = ---------- [11, 17, 14] [11, 14] [4, 17, 16, 6] [4, 16, 6] -------------- = ---------- [11, 17, 14] [11, 14] [6, 17, 15, 12] [6, 15, 12] --------------- = ----------- [11, 17, 14] [11, 14] [8, 17, 15, 0] [8, 15, 0] -------------- = ---------- [11, 17, 14] [11, 14] [10, 17, 14, 6] [10, 14, 6] --------------- = ----------- [11, 17, 14] [11, 14] [12, 17, 13, 12] [12, 13, 12] ---------------- = ------------ [11, 17, 14] [11, 14] [14, 17, 13, 0] [14, 13, 0] --------------- = ----------- [11, 17, 14] [11, 14] [16, 17, 12, 6] [16, 12, 6] --------------- = ----------- [11, 17, 14] [11, 14] [1, 0, 17, 11, 12] [1, 0, 11, 12] ------------------ = -------------- [11, 17, 14] [11, 14] [1, 2, 17, 11, 0] [1, 2, 11, 0] ----------------- = ------------- [11, 17, 14] [11, 14] [1, 4, 17, 10, 6] [1, 4, 10, 6] ----------------- = ------------- [11, 17, 14] [11, 14] [1, 6, 17, 9, 12] [1, 6, 9, 12] ----------------- = ------------- [11, 17, 14] [11, 14] [1, 8, 17, 9, 0] [1, 8, 9, 0] ---------------- = ------------ [11, 17, 14] [11, 14] [1, 10, 17, 8, 6] [1, 10, 8, 6] ----------------- = ------------- [11, 17, 14] [11, 14] [1, 12, 17, 7, 12] [1, 12, 7, 12] ------------------ = -------------- [11, 17, 14] [11, 14] [1, 14, 17, 7, 0] [1, 14, 7, 0] ----------------- = ------------- [11, 17, 14] [11, 14] [1, 16, 17, 6, 6] [1, 16, 6, 6] ----------------- = ------------- [11, 17, 14] [11, 14] [2, 0, 17, 5, 12] [2, 0, 5, 12] ----------------- = ------------- [11, 17, 14] [11, 14] [2, 2, 17, 5, 0] [2, 2, 5, 0] ---------------- = ------------ [11, 17, 14] [11, 14] [2, 4, 17, 4, 6] [2, 4, 4, 6] ---------------- = ------------ [11, 17, 14] [11, 14] [2, 6, 17, 3, 12] [2, 6, 3, 12] ----------------- = ------------- [11, 17, 14] [11, 14] [2, 8, 17, 3, 0] [2, 8, 3, 0] ---------------- = ------------ [11, 17, 14] [11, 14] [2, 10, 17, 2, 6] [2, 10, 2, 6] ----------------- = ------------- [11, 17, 14] [11, 14] [2, 12, 17, 1, 12] [2, 12, 1, 12] ------------------ = -------------- [11, 17, 14] [11, 14] [2, 14, 17, 1, 0] [2, 14, 1, 0] ----------------- = ------------- [11, 17, 14] [11, 14] [2, 16, 17, 0, 6] [2, 16, 0, 6] ----------------- = ------------- [11, 17, 14] [11, 14] denominator=, [11, 17, 16] [17, 17, 15] [17, 15] ------------ = -------- [11, 17, 16] [11, 16] [2, 17, 17, 9] [2, 17, 9] -------------- = ---------- [11, 17, 16] [11, 16] [4, 17, 17, 3] [4, 17, 3] -------------- = ---------- [11, 17, 16] [11, 16] [6, 17, 16, 15] [6, 16, 15] --------------- = ----------- [11, 17, 16] [11, 16] [8, 17, 16, 9] [8, 16, 9] -------------- = ---------- [11, 17, 16] [11, 16] [10, 17, 16, 3] [10, 16, 3] --------------- = ----------- [11, 17, 16] [11, 16] [12, 17, 15, 15] [12, 15, 15] ---------------- = ------------ [11, 17, 16] [11, 16] [14, 17, 15, 9] [14, 15, 9] --------------- = ----------- [11, 17, 16] [11, 16] [16, 17, 15, 3] [16, 15, 3] --------------- = ----------- [11, 17, 16] [11, 16] [1, 0, 17, 14, 15] [1, 0, 14, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [1, 2, 17, 14, 9] [1, 2, 14, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [1, 4, 17, 14, 3] [1, 4, 14, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [1, 6, 17, 13, 15] [1, 6, 13, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [1, 8, 17, 13, 9] [1, 8, 13, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [1, 10, 17, 13, 3] [1, 10, 13, 3] ------------------ = -------------- [11, 17, 16] [11, 16] [1, 12, 17, 12, 15] [1, 12, 12, 15] ------------------- = --------------- [11, 17, 16] [11, 16] [1, 14, 17, 12, 9] [1, 14, 12, 9] ------------------ = -------------- [11, 17, 16] [11, 16] [1, 16, 17, 12, 3] [1, 16, 12, 3] ------------------ = -------------- [11, 17, 16] [11, 16] [2, 0, 17, 11, 15] [2, 0, 11, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [2, 2, 17, 11, 9] [2, 2, 11, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [2, 4, 17, 11, 3] [2, 4, 11, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [2, 6, 17, 10, 15] [2, 6, 10, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [2, 8, 17, 10, 9] [2, 8, 10, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [2, 10, 17, 10, 3] [2, 10, 10, 3] ------------------ = -------------- [11, 17, 16] [11, 16] [2, 12, 17, 9, 15] [2, 12, 9, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [2, 14, 17, 9, 9] [2, 14, 9, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [2, 16, 17, 9, 3] [2, 16, 9, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [3, 0, 17, 8, 15] [3, 0, 8, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [3, 2, 17, 8, 9] [3, 2, 8, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [3, 4, 17, 8, 3] [3, 4, 8, 3] ---------------- = ------------ [11, 17, 16] [11, 16] [3, 6, 17, 7, 15] [3, 6, 7, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [3, 8, 17, 7, 9] [3, 8, 7, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [3, 10, 17, 7, 3] [3, 10, 7, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [3, 12, 17, 6, 15] [3, 12, 6, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [3, 14, 17, 6, 9] [3, 14, 6, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [3, 16, 17, 6, 3] [3, 16, 6, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [4, 0, 17, 5, 15] [4, 0, 5, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [4, 2, 17, 5, 9] [4, 2, 5, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [4, 4, 17, 5, 3] [4, 4, 5, 3] ---------------- = ------------ [11, 17, 16] [11, 16] [4, 6, 17, 4, 15] [4, 6, 4, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [4, 8, 17, 4, 9] [4, 8, 4, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [4, 10, 17, 4, 3] [4, 10, 4, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [4, 12, 17, 3, 15] [4, 12, 3, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [4, 14, 17, 3, 9] [4, 14, 3, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [4, 16, 17, 3, 3] [4, 16, 3, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 0, 17, 2, 15] [5, 0, 2, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 2, 17, 2, 9] [5, 2, 2, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [5, 4, 17, 2, 3] [5, 4, 2, 3] ---------------- = ------------ [11, 17, 16] [11, 16] [5, 6, 17, 1, 15] [5, 6, 1, 15] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 8, 17, 1, 9] [5, 8, 1, 9] ---------------- = ------------ [11, 17, 16] [11, 16] [5, 10, 17, 1, 3] [5, 10, 1, 3] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 12, 17, 0, 15] [5, 12, 0, 15] ------------------ = -------------- [11, 17, 16] [11, 16] [5, 14, 17, 0, 9] [5, 14, 0, 9] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 16, 17, 0, 3] [5, 16, 0, 3] ----------------- = ------------- [11, 17, 16] [11, 16] denominator=, [12, 4, 4] [2, 2, 4, 3, 9] [2, 2, 3, 9] --------------- = ------------ [12, 4, 4] [12, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [5, 0, 4, 2, 9] [5, 0, 2, 9] --------------- = ------------ [12, 4, 4] [12, 4] [7, 16, 4, 1, 9] [7, 16, 1, 9] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] [10, 14, 4, 0, 9] [10, 14, 0, 9] ----------------- = -------------- [12, 4, 4] [12, 4] denominator=, [12, 5, 4] [1, 13, 5, 2, 0] [1, 13, 2, 0] ---------------- = ------------- [12, 5, 4] [12, 4] [2, 14, 5, 0, 0] [2, 14, 0, 0] ---------------- = ------------- [12, 5, 4] [12, 4] denominator=, [12, 6, 1] [2, 6, 5, 6] [2, 5, 6] ------------ = --------- [12, 6, 1] [12, 1] [7, 6, 3, 3] [7, 3, 3] ------------ = --------- [12, 6, 1] [12, 1] denominator=, [12, 6, 4] [5, 6, 5, 6] [5, 5, 6] ------------ = --------- [12, 6, 4] [12, 4] [1, 1, 6, 2, 12] [1, 1, 2, 12] ---------------- = ------------- [12, 6, 4] [12, 4] [1, 8, 6, 1, 6] [1, 8, 1, 6] --------------- = ------------ [12, 6, 4] [12, 4] [1, 15, 6, 0, 0] [1, 15, 0, 0] ---------------- = ------------- [12, 6, 4] [12, 4] denominator=, [12, 8, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] denominator=, [12, 11, 9] [3, 1, 11, 0, 0] [3, 1, 0, 0] ---------------- = ------------ [12, 11, 9] [12, 9] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [15, 12, 1, 17] [15, 1, 17] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 17] [14, 4, 17] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 16] [16, 3, 16] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 2, 15] [1, 0, 2, 15] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 1, 14] [1, 2, 1, 14] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 4, 12, 0, 13] [1, 4, 0, 13] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [15, 12, 6, 16] [15, 6, 16] --------------- = ----------- [12, 12, 8] [12, 8] [1, 0, 12, 5, 14] [1, 0, 5, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 3, 12, 4, 12] [1, 3, 4, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 9, 12, 2, 8] [1, 9, 2, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 12, 12, 1, 6] [1, 12, 1, 6] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 15, 12, 0, 4] [1, 15, 0, 4] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 15] [16, 7, 15] --------------- = ----------- [12, 12, 9] [12, 9] [1, 2, 12, 6, 12] [1, 2, 6, 12] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 10, 12, 4, 6] [1, 10, 4, 6] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 14, 12, 3, 3] [1, 14, 3, 3] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 4, 12, 0, 15] [2, 4, 0, 15] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [1, 0, 12, 8, 13] [1, 0, 8, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 12, 12, 6, 3] [1, 12, 6, 3] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 6, 12, 3, 11] [2, 6, 3, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 0, 12, 1, 1] [3, 0, 1, 1] ---------------- = ------------ [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [12, 15, 3] [15, 15, 0] [15, 0] ----------- = ------- [12, 15, 3] [12, 3] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [12, 15, 3] [12, 3] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [12, 15, 3] [12, 3] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [12, 15, 3] [12, 3] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [12, 15, 3] [12, 3] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [12, 15, 3] [12, 3] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [12, 15, 3] [12, 3] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [12, 15, 3] [12, 3] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [12, 15, 3] [12, 3] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [12, 15, 3] [12, 3] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [12, 15, 3] [12, 3] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [12, 15, 3] [12, 3] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [12, 15, 3] [12, 3] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [12, 15, 3] [12, 3] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [12, 15, 3] [12, 3] denominator=, [12, 16, 4] [16, 16, 0] [16, 0] ----------- = ------- [12, 16, 4] [12, 4] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [12, 16, 4] [12, 4] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [12, 16, 4] [12, 4] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [12, 16, 4] [12, 4] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [12, 16, 4] [12, 4] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [12, 16, 4] [12, 4] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [12, 16, 4] [12, 4] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [12, 16, 4] [12, 4] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [12, 16, 4] [12, 4] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [12, 16, 4] [12, 4] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [12, 16, 4] [12, 4] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [12, 16, 4] [12, 4] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [12, 16, 4] [12, 4] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [12, 16, 4] [12, 4] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [12, 16, 4] [12, 4] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [12, 16, 4] [12, 4] denominator=, [12, 16, 14] [1, 16, 16, 9] [1, 16, 9] -------------- = ---------- [12, 16, 14] [12, 14] [1, 5, 16, 11, 9] [1, 5, 11, 9] ----------------- = ------------- [12, 16, 14] [12, 14] [1, 16, 16, 9, 0] [1, 16, 9, 0] ----------------- = ------------- [12, 16, 14] [12, 14] [2, 9, 16, 6, 9] [2, 9, 6, 9] ---------------- = ------------ [12, 16, 14] [12, 14] [3, 2, 16, 4, 0] [3, 2, 4, 0] ---------------- = ------------ [12, 16, 14] [12, 14] [3, 13, 16, 1, 9] [3, 13, 1, 9] ----------------- = ------------- [12, 16, 14] [12, 14] denominator=, [12, 16, 15] [2, 16, 16, 9] [2, 16, 9] -------------- = ---------- [12, 16, 15] [12, 15] [1, 4, 16, 13, 9] [1, 4, 13, 9] ----------------- = ------------- [12, 16, 15] [12, 15] [1, 14, 16, 12, 0] [1, 14, 12, 0] ------------------ = -------------- [12, 16, 15] [12, 15] [2, 6, 16, 10, 9] [2, 6, 10, 9] ----------------- = ------------- [12, 16, 15] [12, 15] [2, 16, 16, 9, 0] [2, 16, 9, 0] ----------------- = ------------- [12, 16, 15] [12, 15] [3, 8, 16, 7, 9] [3, 8, 7, 9] ---------------- = ------------ [12, 16, 15] [12, 15] [4, 0, 16, 6, 0] [4, 0, 6, 0] ---------------- = ------------ [12, 16, 15] [12, 15] [4, 10, 16, 4, 9] [4, 10, 4, 9] ----------------- = ------------- [12, 16, 15] [12, 15] [5, 2, 16, 3, 0] [5, 2, 3, 0] ---------------- = ------------ [12, 16, 15] [12, 15] [5, 12, 16, 1, 9] [5, 12, 1, 9] ----------------- = ------------- [12, 16, 15] [12, 15] [6, 4, 16, 0, 0] [6, 4, 0, 0] ---------------- = ------------ [12, 16, 15] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12, 0] [3, 13, 12, 0] ------------------ = -------------- [12, 16, 16] [12, 16] [9, 15, 16, 4, 0] [9, 15, 4, 0] ----------------- = ------------- [12, 16, 16] [12, 16] denominator=, [12, 17, 5] [17, 17, 0] [17, 0] ----------- = ------- [12, 17, 5] [12, 5] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [12, 17, 5] [12, 5] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [12, 17, 5] [12, 5] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [12, 17, 5] [12, 5] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [12, 17, 5] [12, 5] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [12, 17, 5] [12, 5] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [12, 17, 5] [12, 5] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [12, 17, 5] [12, 5] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [12, 17, 5] [12, 5] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [12, 17, 5] [12, 5] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [12, 17, 5] [12, 5] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [12, 17, 5] [12, 5] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [12, 17, 5] [12, 5] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [12, 17, 5] [12, 5] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [12, 17, 5] [12, 5] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [12, 17, 5] [12, 5] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [12, 17, 5] [12, 5] denominator=, [13, 4, 1] [3, 4, 3, 8] [3, 3, 8] ------------ = --------- [13, 4, 1] [13, 1] [8, 4, 2, 4] [8, 2, 4] ------------ = --------- [13, 4, 1] [13, 1] denominator=, [13, 7, 6] [1, 14, 7, 4, 0] [1, 14, 4, 0] ---------------- = ------------- [13, 7, 6] [13, 6] [3, 16, 7, 0, 0] [3, 16, 0, 0] ---------------- = ------------- [13, 7, 6] [13, 6] denominator=, [13, 9, 6] [2, 0, 9, 0, 0] [2, 0, 0, 0] --------------- = ------------ [13, 9, 6] [13, 6] denominator=, [13, 10, 4] [2, 10, 9, 6] [2, 9, 6] ------------- = --------- [13, 10, 4] [13, 4] denominator=, [13, 10, 8] [6, 10, 9, 6] [6, 9, 6] ------------- = --------- [13, 10, 8] [13, 8] [1, 2, 10, 6, 12] [1, 2, 6, 12] ----------------- = ------------- [13, 10, 8] [13, 8] [1, 9, 10, 5, 6] [1, 9, 5, 6] ---------------- = ------------ [13, 10, 8] [13, 8] [1, 16, 10, 4, 0] [1, 16, 4, 0] ----------------- = ------------- [13, 10, 8] [13, 8] [2, 5, 10, 2, 12] [2, 5, 2, 12] ----------------- = ------------- [13, 10, 8] [13, 8] [2, 12, 10, 1, 6] [2, 12, 1, 6] ----------------- = ------------- [13, 10, 8] [13, 8] [3, 1, 10, 0, 0] [3, 1, 0, 0] ---------------- = ------------ [13, 10, 8] [13, 8] denominator=, [13, 11, 10] [2, 6, 11, 6, 9] [2, 6, 6, 9] ---------------- = ------------ [13, 11, 10] [13, 10] [3, 17, 11, 3, 0] [3, 17, 3, 0] ----------------- = ------------- [13, 11, 10] [13, 10] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 15, 2] [15, 15, 0] [15, 0] ----------- = ------- [13, 15, 2] [13, 2] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [13, 15, 2] [13, 2] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [13, 15, 2] [13, 2] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [13, 15, 2] [13, 2] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [13, 15, 2] [13, 2] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [13, 15, 2] [13, 2] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [13, 15, 2] [13, 2] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [13, 15, 2] [13, 2] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [13, 15, 2] [13, 2] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [13, 15, 2] [13, 2] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [13, 15, 2] [13, 2] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [13, 15, 2] [13, 2] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [13, 15, 2] [13, 2] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [13, 15, 2] [13, 2] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [13, 15, 2] [13, 2] denominator=, [13, 15, 14] [4, 0, 15, 6, 0] [4, 0, 6, 0] ---------------- = ------------ [13, 15, 14] [13, 14] denominator=, [13, 16, 3] [16, 16, 0] [16, 0] ----------- = ------- [13, 16, 3] [13, 3] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [13, 16, 3] [13, 3] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [13, 16, 3] [13, 3] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [13, 16, 3] [13, 3] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [13, 16, 3] [13, 3] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [13, 16, 3] [13, 3] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [13, 16, 3] [13, 3] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [13, 16, 3] [13, 3] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [13, 16, 3] [13, 3] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [13, 16, 3] [13, 3] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [13, 16, 3] [13, 3] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [13, 16, 3] [13, 3] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [13, 16, 3] [13, 3] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [13, 16, 3] [13, 3] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [13, 16, 3] [13, 3] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [13, 16, 3] [13, 3] denominator=, [13, 17, 4] [17, 17, 0] [17, 0] ----------- = ------- [13, 17, 4] [13, 4] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [13, 17, 4] [13, 4] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [13, 17, 4] [13, 4] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [13, 17, 4] [13, 4] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [13, 17, 4] [13, 4] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [13, 17, 4] [13, 4] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [13, 17, 4] [13, 4] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [13, 17, 4] [13, 4] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [13, 17, 4] [13, 4] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [13, 17, 4] [13, 4] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [13, 17, 4] [13, 4] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [13, 17, 4] [13, 4] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [13, 17, 4] [13, 4] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [13, 17, 4] [13, 4] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [13, 17, 4] [13, 4] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [13, 17, 4] [13, 4] denominator=, [13, 17, 11] [17, 17, 9] [17, 9] ------------ = -------- [13, 17, 11] [13, 11] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [13, 17, 11] [13, 11] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [13, 17, 11] [13, 11] [3, 17, 16, 0] [3, 16, 0] -------------- = ---------- [13, 17, 11] [13, 11] [4, 17, 15, 9] [4, 15, 9] -------------- = ---------- [13, 17, 11] [13, 11] [5, 17, 15, 0] [5, 15, 0] -------------- = ---------- [13, 17, 11] [13, 11] [7, 17, 14, 0] [7, 14, 0] -------------- = ---------- [13, 17, 11] [13, 11] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [13, 17, 11] [13, 11] [9, 17, 13, 0] [9, 13, 0] -------------- = ---------- [13, 17, 11] [13, 11] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [13, 17, 11] [13, 11] [11, 17, 12, 0] [11, 12, 0] --------------- = ----------- [13, 17, 11] [13, 11] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [13, 17, 11] [13, 11] [14, 17, 10, 9] [14, 10, 9] --------------- = ----------- [13, 17, 11] [13, 11] [15, 17, 10, 0] [15, 10, 0] --------------- = ----------- [13, 17, 11] [13, 11] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [13, 17, 11] [13, 11] [17, 17, 9, 0] [17, 9, 0] -------------- = ---------- [13, 17, 11] [13, 11] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 1, 17, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 3, 17, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 5, 17, 6, 0] [1, 5, 6, 0] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 6, 17, 5, 9] [1, 6, 5, 9] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 7, 17, 5, 0] [1, 7, 5, 0] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [13, 17, 11] [13, 11] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 11, 17, 3, 0] [1, 11, 3, 0] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 13, 17, 2, 0] [1, 13, 2, 0] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 15, 17, 1, 0] [1, 15, 1, 0] ----------------- = ------------- [13, 17, 11] [13, 11] [1, 17, 17, 0, 0] [1, 17, 0, 0] ----------------- = ------------- [13, 17, 11] [13, 11] denominator=, [14, 2, 0] [4, 2, 1, 9] [4, 1, 9] ------------ = --------- [14, 2, 0] [14, 0] denominator=, [14, 2, 2] [1, 16, 2, 1, 15] [1, 16, 1, 15] ----------------- = -------------- [14, 2, 2] [14, 2] [4, 2, 2, 1, 9] [4, 2, 1, 9] --------------- = ------------ [14, 2, 2] [14, 2] [6, 6, 2, 1, 3] [6, 6, 1, 3] --------------- = ------------ [14, 2, 2] [14, 2] [8, 10, 2, 0, 15] [8, 10, 0, 15] ----------------- = -------------- [14, 2, 2] [14, 2] [10, 14, 2, 0, 9] [10, 14, 0, 9] ----------------- = -------------- [14, 2, 2] [14, 2] [13, 0, 2, 0, 3] [13, 0, 0, 3] ---------------- = ------------- [14, 2, 2] [14, 2] denominator=, [14, 4, 1] [3, 4, 3, 9] [3, 3, 9] ------------ = --------- [14, 4, 1] [14, 1] denominator=, [14, 5, 0] [2, 5, 4, 8] [2, 4, 8] ------------ = --------- [14, 5, 0] [14, 0] [5, 5, 3, 6] [5, 3, 6] ------------ = --------- [14, 5, 0] [14, 0] [8, 5, 2, 4] [8, 2, 4] ------------ = --------- [14, 5, 0] [14, 0] [11, 5, 1, 2] [11, 1, 2] ------------- = ---------- [14, 5, 0] [14, 0] denominator=, [14, 5, 3] [5, 5, 4, 8] [5, 4, 8] ------------ = --------- [14, 5, 3] [14, 3] [1, 5, 5, 1, 10] [1, 5, 1, 10] ---------------- = ------------- [14, 5, 3] [14, 3] [1, 14, 5, 0, 2] [1, 14, 0, 2] ---------------- = ------------- [14, 5, 3] [14, 3] denominator=, [14, 6, 6] [4, 3, 6, 4, 9] [4, 3, 4, 9] --------------- = ------------ [14, 6, 6] [14, 6] [10, 17, 6, 1, 9] [10, 17, 1, 9] ----------------- = -------------- [14, 6, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 9, 8] [1, 15, 9, 6, 0] [1, 15, 6, 0] ---------------- = ------------- [14, 9, 8] [14, 8] [2, 16, 9, 4, 0] [2, 16, 4, 0] ---------------- = ------------- [14, 9, 8] [14, 8] [3, 17, 9, 2, 0] [3, 17, 2, 0] ---------------- = ------------- [14, 9, 8] [14, 8] [5, 0, 9, 0, 0] [5, 0, 0, 0] --------------- = ------------ [14, 9, 8] [14, 8] denominator=, [14, 10, 8] [2, 9, 10, 2, 9] [2, 9, 2, 9] ---------------- = ------------ [14, 10, 8] [14, 8] denominator=, [14, 10, 10] [4, 4, 10, 7, 9] [4, 4, 7, 9] ---------------- = ------------ [14, 10, 10] [14, 10] [11, 2, 10, 2, 9] [11, 2, 2, 9] ----------------- = ------------- [14, 10, 10] [14, 10] denominator=, [14, 12, 8] [2, 3, 12, 0, 0] [2, 3, 0, 0] ---------------- = ------------ [14, 12, 8] [14, 8] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 3, 14, 1, 15] [1, 3, 1, 15] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 17] [16, 5, 17] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 4, 16] [1, 0, 4, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 3, 15] [1, 2, 3, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 2, 14] [1, 4, 2, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 1, 13] [1, 6, 1, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 0, 12] [1, 8, 0, 12] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 3, 14, 4, 14] [1, 3, 4, 14] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 3, 14, 7, 13] [1, 3, 7, 13] ----------------- = ------------- [14, 14, 10] [14, 10] [1, 17, 14, 3, 3] [1, 17, 3, 3] ----------------- = ------------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 3, 14, 10, 12] [1, 3, 10, 12] ------------------ = -------------- [14, 14, 12] [14, 12] [1, 17, 14, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [14, 14, 12] [14, 12] [2, 13, 14, 5, 6] [2, 13, 5, 6] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 9, 14, 2, 12] [3, 9, 2, 12] ----------------- = ------------- [14, 14, 12] [14, 12] [4, 5, 14, 0, 0] [4, 5, 0, 0] ---------------- = ------------ [14, 14, 12] [14, 12] denominator=, [14, 15, 1] [15, 15, 0] [15, 0] ----------- = ------- [14, 15, 1] [14, 1] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [14, 15, 1] [14, 1] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [14, 15, 1] [14, 1] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [14, 15, 1] [14, 1] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [14, 15, 1] [14, 1] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [14, 15, 1] [14, 1] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [14, 15, 1] [14, 1] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [14, 15, 1] [14, 1] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [14, 15, 1] [14, 1] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [14, 15, 1] [14, 1] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [14, 15, 1] [14, 1] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [14, 15, 1] [14, 1] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [14, 15, 1] [14, 1] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [14, 15, 1] [14, 1] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [14, 15, 1] [14, 1] denominator=, [14, 15, 12] [2, 1, 15, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [14, 15, 12] [14, 12] [3, 6, 15, 0, 0] [3, 6, 0, 0] ---------------- = ------------ [14, 15, 12] [14, 12] denominator=, [14, 16, 2] [16, 16, 0] [16, 0] ----------- = ------- [14, 16, 2] [14, 2] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [14, 16, 2] [14, 2] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [14, 16, 2] [14, 2] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [14, 16, 2] [14, 2] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [14, 16, 2] [14, 2] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [14, 16, 2] [14, 2] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [14, 16, 2] [14, 2] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [14, 16, 2] [14, 2] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [14, 16, 2] [14, 2] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [14, 16, 2] [14, 2] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [14, 16, 2] [14, 2] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [14, 16, 2] [14, 2] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [14, 16, 2] [14, 2] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [14, 16, 2] [14, 2] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [14, 16, 2] [14, 2] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [14, 16, 2] [14, 2] denominator=, [14, 17, 3] [17, 17, 0] [17, 0] ----------- = ------- [14, 17, 3] [14, 3] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [14, 17, 3] [14, 3] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [14, 17, 3] [14, 3] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [14, 17, 3] [14, 3] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [14, 17, 3] [14, 3] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [14, 17, 3] [14, 3] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [14, 17, 3] [14, 3] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [14, 17, 3] [14, 3] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [14, 17, 3] [14, 3] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [14, 17, 3] [14, 3] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [14, 17, 3] [14, 3] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [14, 17, 3] [14, 3] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [14, 17, 3] [14, 3] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [14, 17, 3] [14, 3] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [14, 17, 3] [14, 3] denominator=, [14, 17, 8] [17, 17, 6] [17, 6] ----------- = ------- [14, 17, 8] [14, 8] [1, 17, 16, 12] [1, 16, 12] --------------- = ----------- [14, 17, 8] [14, 8] [2, 17, 16, 0] [2, 16, 0] -------------- = ---------- [14, 17, 8] [14, 8] [3, 17, 15, 6] [3, 15, 6] -------------- = ---------- [14, 17, 8] [14, 8] [5, 17, 14, 0] [5, 14, 0] -------------- = ---------- [14, 17, 8] [14, 8] [6, 17, 13, 6] [6, 13, 6] -------------- = ---------- [14, 17, 8] [14, 8] [7, 17, 12, 12] [7, 12, 12] --------------- = ----------- [14, 17, 8] [14, 8] [8, 17, 12, 0] [8, 12, 0] -------------- = ---------- [14, 17, 8] [14, 8] [10, 17, 10, 12] [10, 10, 12] ---------------- = ------------ [14, 17, 8] [14, 8] [11, 17, 10, 0] [11, 10, 0] --------------- = ----------- [14, 17, 8] [14, 8] [12, 17, 9, 6] [12, 9, 6] -------------- = ---------- [14, 17, 8] [14, 8] [13, 17, 8, 12] [13, 8, 12] --------------- = ----------- [14, 17, 8] [14, 8] [15, 17, 7, 6] [15, 7, 6] -------------- = ---------- [14, 17, 8] [14, 8] [16, 17, 6, 12] [16, 6, 12] --------------- = ----------- [14, 17, 8] [14, 8] [17, 17, 6, 0] [17, 6, 0] -------------- = ---------- [14, 17, 8] [14, 8] [1, 0, 17, 5, 6] [1, 0, 5, 6] ---------------- = ------------ [14, 17, 8] [14, 8] [1, 2, 17, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [14, 17, 8] [14, 8] [1, 3, 17, 3, 6] [1, 3, 3, 6] ---------------- = ------------ [14, 17, 8] [14, 8] [1, 4, 17, 2, 12] [1, 4, 2, 12] ----------------- = ------------- [14, 17, 8] [14, 8] [1, 5, 17, 2, 0] [1, 5, 2, 0] ---------------- = ------------ [14, 17, 8] [14, 8] [1, 7, 17, 0, 12] [1, 7, 0, 12] ----------------- = ------------- [14, 17, 8] [14, 8] [1, 8, 17, 0, 0] [1, 8, 0, 0] ---------------- = ------------ [14, 17, 8] [14, 8] denominator=, [14, 17, 13] [17, 17, 12] [17, 12] ------------ = -------- [14, 17, 13] [14, 13] [1, 17, 17, 6] [1, 17, 6] -------------- = ---------- [14, 17, 13] [14, 13] [2, 17, 17, 0] [2, 17, 0] -------------- = ---------- [14, 17, 13] [14, 13] [3, 17, 16, 12] [3, 16, 12] --------------- = ----------- [14, 17, 13] [14, 13] [5, 17, 16, 0] [5, 16, 0] -------------- = ---------- [14, 17, 13] [14, 13] [6, 17, 15, 12] [6, 15, 12] --------------- = ----------- [14, 17, 13] [14, 13] [7, 17, 15, 6] [7, 15, 6] -------------- = ---------- [14, 17, 13] [14, 13] [8, 17, 15, 0] [8, 15, 0] -------------- = ---------- [14, 17, 13] [14, 13] [10, 17, 14, 6] [10, 14, 6] --------------- = ----------- [14, 17, 13] [14, 13] [11, 17, 14, 0] [11, 14, 0] --------------- = ----------- [14, 17, 13] [14, 13] [12, 17, 13, 12] [12, 13, 12] ---------------- = ------------ [14, 17, 13] [14, 13] [13, 17, 13, 6] [13, 13, 6] --------------- = ----------- [14, 17, 13] [14, 13] [15, 17, 12, 12] [15, 12, 12] ---------------- = ------------ [14, 17, 13] [14, 13] [16, 17, 12, 6] [16, 12, 6] --------------- = ----------- [14, 17, 13] [14, 13] [17, 17, 12, 0] [17, 12, 0] --------------- = ----------- [14, 17, 13] [14, 13] [1, 0, 17, 11, 12] [1, 0, 11, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [1, 2, 17, 11, 0] [1, 2, 11, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 3, 17, 10, 12] [1, 3, 10, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [1, 4, 17, 10, 6] [1, 4, 10, 6] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 5, 17, 10, 0] [1, 5, 10, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 7, 17, 9, 6] [1, 7, 9, 6] ---------------- = ------------ [14, 17, 13] [14, 13] [1, 8, 17, 9, 0] [1, 8, 9, 0] ---------------- = ------------ [14, 17, 13] [14, 13] [1, 9, 17, 8, 12] [1, 9, 8, 12] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 10, 17, 8, 6] [1, 10, 8, 6] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 12, 17, 7, 12] [1, 12, 7, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [1, 13, 17, 7, 6] [1, 13, 7, 6] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 14, 17, 7, 0] [1, 14, 7, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [1, 15, 17, 6, 12] [1, 15, 6, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [1, 17, 17, 6, 0] [1, 17, 6, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 0, 17, 5, 12] [2, 0, 5, 12] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 1, 17, 5, 6] [2, 1, 5, 6] ---------------- = ------------ [14, 17, 13] [14, 13] [2, 2, 17, 5, 0] [2, 2, 5, 0] ---------------- = ------------ [14, 17, 13] [14, 13] [2, 4, 17, 4, 6] [2, 4, 4, 6] ---------------- = ------------ [14, 17, 13] [14, 13] [2, 5, 17, 4, 0] [2, 5, 4, 0] ---------------- = ------------ [14, 17, 13] [14, 13] [2, 6, 17, 3, 12] [2, 6, 3, 12] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 7, 17, 3, 6] [2, 7, 3, 6] ---------------- = ------------ [14, 17, 13] [14, 13] [2, 9, 17, 2, 12] [2, 9, 2, 12] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 10, 17, 2, 6] [2, 10, 2, 6] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 11, 17, 2, 0] [2, 11, 2, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 12, 17, 1, 12] [2, 12, 1, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [2, 14, 17, 1, 0] [2, 14, 1, 0] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 15, 17, 0, 12] [2, 15, 0, 12] ------------------ = -------------- [14, 17, 13] [14, 13] [2, 16, 17, 0, 6] [2, 16, 0, 6] ----------------- = ------------- [14, 17, 13] [14, 13] [2, 17, 17, 0, 0] [2, 17, 0, 0] ----------------- = ------------- [14, 17, 13] [14, 13] denominator=, [15, 4, 3] [2, 16, 4, 0, 0] [2, 16, 0, 0] ---------------- = ------------- [15, 4, 3] [15, 3] denominator=, [15, 5, 0] [2, 5, 4, 9] [2, 4, 9] ------------ = --------- [15, 5, 0] [15, 0] denominator=, [15, 5, 3] [5, 5, 4, 9] [5, 4, 9] ------------ = --------- [15, 5, 3] [15, 3] [1, 7, 5, 1, 9] [1, 7, 1, 9] --------------- = ------------ [15, 5, 3] [15, 3] [1, 17, 5, 0, 0] [1, 17, 0, 0] ---------------- = ------------- [15, 5, 3] [15, 3] denominator=, [15, 5, 5] [2, 5, 5, 4, 9] [2, 5, 4, 9] --------------- = ------------ [15, 5, 5] [15, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [5, 3, 5, 3, 9] [5, 3, 3, 9] --------------- = ------------ [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [10, 17, 5, 1, 9] [10, 17, 1, 9] ----------------- = -------------- [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [13, 15, 5, 0, 9] [13, 15, 0, 9] ----------------- = -------------- [15, 5, 5] [15, 5] denominator=, [15, 9, 2] [4, 9, 7, 6] [4, 7, 6] ------------ = --------- [15, 9, 2] [15, 2] denominator=, [15, 9, 5] [3, 9, 8, 9] [3, 8, 9] ------------ = --------- [15, 9, 5] [15, 5] [7, 9, 7, 6] [7, 7, 6] ------------ = --------- [15, 9, 5] [15, 5] [11, 9, 6, 3] [11, 6, 3] ------------- = ---------- [15, 9, 5] [15, 5] [1, 1, 9, 3, 15] [1, 1, 3, 15] ---------------- = ------------- [15, 9, 5] [15, 5] [1, 5, 9, 2, 12] [1, 5, 2, 12] ---------------- = ------------- [15, 9, 5] [15, 5] [1, 9, 9, 1, 9] [1, 9, 1, 9] --------------- = ------------ [15, 9, 5] [15, 5] [1, 13, 9, 0, 6] [1, 13, 0, 6] ---------------- = ------------- [15, 9, 5] [15, 5] denominator=, [15, 9, 6] [4, 9, 8, 9] [4, 8, 9] ------------ = --------- [15, 9, 6] [15, 6] [1, 8, 9, 3, 9] [1, 8, 3, 9] --------------- = ------------ [15, 9, 6] [15, 6] [2, 1, 9, 1, 0] [2, 1, 1, 0] --------------- = ------------ [15, 9, 6] [15, 6] denominator=, [15, 9, 8] [2, 1, 9, 5, 15] [2, 1, 5, 15] ---------------- = ------------- [15, 9, 8] [15, 8] [4, 9, 9, 1, 9] [4, 9, 1, 9] --------------- = ------------ [15, 9, 8] [15, 8] denominator=, [15, 10, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] denominator=, [15, 11, 10] [1, 16, 11, 8, 0] [1, 16, 8, 0] ----------------- = ------------- [15, 11, 10] [15, 10] [2, 17, 11, 6, 0] [2, 17, 6, 0] ----------------- = ------------- [15, 11, 10] [15, 10] [4, 0, 11, 4, 0] [4, 0, 4, 0] ---------------- = ------------ [15, 11, 10] [15, 10] [5, 1, 11, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [15, 11, 10] [15, 10] [6, 2, 11, 0, 0] [6, 2, 0, 0] ---------------- = ------------ [15, 11, 10] [15, 10] denominator=, [15, 13, 12] [4, 10, 13, 4, 9] [4, 10, 4, 9] ----------------- = ------------- [15, 13, 12] [15, 12] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [1, 0, 15, 2, 17] [1, 0, 2, 17] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 3, 15, 0, 16] [1, 3, 0, 16] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 2, 15, 2, 16] [1, 2, 2, 16] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 2, 15, 6, 15] [1, 2, 6, 15] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 7, 15, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 17, 15, 0, 6] [1, 17, 0, 6] ----------------- = ------------- [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [1, 0, 15, 8, 16] [1, 0, 8, 16] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 3, 15, 7, 14] [1, 3, 7, 14] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 6, 15, 6, 12] [1, 6, 6, 12] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 9, 15, 5, 10] [1, 9, 5, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 15, 15, 3, 6] [1, 15, 3, 6] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 0, 15, 2, 4] [2, 0, 2, 4] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 3, 15, 1, 2] [2, 3, 1, 2] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 6, 15, 0, 0] [2, 6, 0, 0] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 2, 15, 10, 14] [1, 2, 10, 14] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 7, 15, 9, 10] [1, 7, 9, 10] ----------------- = ------------- [15, 15, 12] [15, 12] [1, 17, 15, 7, 2] [1, 17, 7, 2] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 4, 15, 5, 16] [2, 4, 5, 16] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 14, 15, 3, 8] [2, 14, 3, 8] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 1, 15, 2, 4] [3, 1, 2, 4] ---------------- = ------------ [15, 15, 12] [15, 12] denominator=, [15, 16, 1] [16, 16, 0] [16, 0] ----------- = ------- [15, 16, 1] [15, 1] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [15, 16, 1] [15, 1] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [15, 16, 1] [15, 1] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [15, 16, 1] [15, 1] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [15, 16, 1] [15, 1] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [15, 16, 1] [15, 1] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [15, 16, 1] [15, 1] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [15, 16, 1] [15, 1] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [15, 16, 1] [15, 1] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [15, 16, 1] [15, 1] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [15, 16, 1] [15, 1] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [15, 16, 1] [15, 1] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [15, 16, 1] [15, 1] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [15, 16, 1] [15, 1] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [15, 16, 1] [15, 1] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [15, 16, 1] [15, 1] denominator=, [15, 17, 0] [3, 17, 13, 9] [3, 13, 9] -------------- = ---------- [15, 17, 0] [15, 0] [11, 17, 4, 9] [11, 4, 9] -------------- = ---------- [15, 17, 0] [15, 0] denominator=, [15, 17, 2] [17, 17, 0] [17, 0] ----------- = ------- [15, 17, 2] [15, 2] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [15, 17, 2] [15, 2] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [15, 17, 2] [15, 2] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [15, 17, 2] [15, 2] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [15, 17, 2] [15, 2] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [15, 17, 2] [15, 2] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [15, 17, 2] [15, 2] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [15, 17, 2] [15, 2] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [15, 17, 2] [15, 2] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [15, 17, 2] [15, 2] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [15, 17, 2] [15, 2] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [15, 17, 2] [15, 2] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [15, 17, 2] [15, 2] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [15, 17, 2] [15, 2] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [15, 17, 2] [15, 2] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [15, 17, 2] [15, 2] denominator=, [15, 17, 4] [3, 17, 14, 9] [3, 14, 9] -------------- = ---------- [15, 17, 4] [15, 4] [11, 17, 7, 9] [11, 7, 9] -------------- = ---------- [15, 17, 4] [15, 4] [1, 1, 17, 0, 9] [1, 1, 0, 9] ---------------- = ------------ [15, 17, 4] [15, 4] denominator=, [15, 17, 6] [1, 17, 16, 9] [1, 16, 9] -------------- = ---------- [15, 17, 6] [15, 6] [3, 17, 15, 0] [3, 15, 0] -------------- = ---------- [15, 17, 6] [15, 6] [5, 17, 13, 9] [5, 13, 9] -------------- = ---------- [15, 17, 6] [15, 6] [9, 17, 10, 9] [9, 10, 9] -------------- = ---------- [15, 17, 6] [15, 6] [11, 17, 9, 0] [11, 9, 0] -------------- = ---------- [15, 17, 6] [15, 6] [13, 17, 7, 9] [13, 7, 9] -------------- = ---------- [15, 17, 6] [15, 6] [17, 17, 4, 9] [17, 4, 9] -------------- = ---------- [15, 17, 6] [15, 6] [1, 1, 17, 3, 0] [1, 1, 3, 0] ---------------- = ------------ [15, 17, 6] [15, 6] [1, 3, 17, 1, 9] [1, 3, 1, 9] ---------------- = ------------ [15, 17, 6] [15, 6] denominator=, [15, 17, 8] [3, 17, 15, 9] [3, 15, 9] -------------- = ---------- [15, 17, 8] [15, 8] [11, 17, 10, 9] [11, 10, 9] --------------- = ----------- [15, 17, 8] [15, 8] [1, 1, 17, 5, 9] [1, 1, 5, 9] ---------------- = ------------ [15, 17, 8] [15, 8] [1, 9, 17, 0, 9] [1, 9, 0, 9] ---------------- = ------------ [15, 17, 8] [15, 8] denominator=, [15, 17, 10] [17, 17, 9] [17, 9] ------------ = -------- [15, 17, 10] [15, 10] [1, 17, 17, 0] [1, 17, 0] -------------- = ---------- [15, 17, 10] [15, 10] [2, 17, 16, 9] [2, 16, 9] -------------- = ---------- [15, 17, 10] [15, 10] [3, 17, 16, 0] [3, 16, 0] -------------- = ---------- [15, 17, 10] [15, 10] [4, 17, 15, 9] [4, 15, 9] -------------- = ---------- [15, 17, 10] [15, 10] [5, 17, 15, 0] [5, 15, 0] -------------- = ---------- [15, 17, 10] [15, 10] [6, 17, 14, 9] [6, 14, 9] -------------- = ---------- [15, 17, 10] [15, 10] [8, 17, 13, 9] [8, 13, 9] -------------- = ---------- [15, 17, 10] [15, 10] [9, 17, 13, 0] [9, 13, 0] -------------- = ---------- [15, 17, 10] [15, 10] [10, 17, 12, 9] [10, 12, 9] --------------- = ----------- [15, 17, 10] [15, 10] [11, 17, 12, 0] [11, 12, 0] --------------- = ----------- [15, 17, 10] [15, 10] [12, 17, 11, 9] [12, 11, 9] --------------- = ----------- [15, 17, 10] [15, 10] [13, 17, 11, 0] [13, 11, 0] --------------- = ----------- [15, 17, 10] [15, 10] [14, 17, 10, 9] [14, 10, 9] --------------- = ----------- [15, 17, 10] [15, 10] [16, 17, 9, 9] [16, 9, 9] -------------- = ---------- [15, 17, 10] [15, 10] [17, 17, 9, 0] [17, 9, 0] -------------- = ---------- [15, 17, 10] [15, 10] [1, 0, 17, 8, 9] [1, 0, 8, 9] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 1, 17, 8, 0] [1, 1, 8, 0] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 2, 17, 7, 9] [1, 2, 7, 9] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 3, 17, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 4, 17, 6, 9] [1, 4, 6, 9] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 6, 17, 5, 9] [1, 6, 5, 9] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 7, 17, 5, 0] [1, 7, 5, 0] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 8, 17, 4, 9] [1, 8, 4, 9] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 9, 17, 4, 0] [1, 9, 4, 0] ---------------- = ------------ [15, 17, 10] [15, 10] [1, 10, 17, 3, 9] [1, 10, 3, 9] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 11, 17, 3, 0] [1, 11, 3, 0] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 12, 17, 2, 9] [1, 12, 2, 9] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 14, 17, 1, 9] [1, 14, 1, 9] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 15, 17, 1, 0] [1, 15, 1, 0] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 16, 17, 0, 9] [1, 16, 0, 9] ----------------- = ------------- [15, 17, 10] [15, 10] [1, 17, 17, 0, 0] [1, 17, 0, 0] ----------------- = ------------- [15, 17, 10] [15, 10] denominator=, [15, 17, 12] [3, 17, 16, 9] [3, 16, 9] -------------- = ---------- [15, 17, 12] [15, 12] [11, 17, 13, 9] [11, 13, 9] --------------- = ----------- [15, 17, 12] [15, 12] [1, 1, 17, 10, 9] [1, 1, 10, 9] ----------------- = ------------- [15, 17, 12] [15, 12] [1, 9, 17, 7, 9] [1, 9, 7, 9] ---------------- = ------------ [15, 17, 12] [15, 12] [1, 17, 17, 4, 9] [1, 17, 4, 9] ----------------- = ------------- [15, 17, 12] [15, 12] [2, 7, 17, 1, 9] [2, 7, 1, 9] ---------------- = ------------ [15, 17, 12] [15, 12] denominator=, [15, 17, 14] [1, 17, 17, 9] [1, 17, 9] -------------- = ---------- [15, 17, 14] [15, 14] [3, 17, 17, 0] [3, 17, 0] -------------- = ---------- [15, 17, 14] [15, 14] [5, 17, 16, 9] [5, 16, 9] -------------- = ---------- [15, 17, 14] [15, 14] [9, 17, 15, 9] [9, 15, 9] -------------- = ---------- [15, 17, 14] [15, 14] [11, 17, 15, 0] [11, 15, 0] --------------- = ----------- [15, 17, 14] [15, 14] [13, 17, 14, 9] [13, 14, 9] --------------- = ----------- [15, 17, 14] [15, 14] [17, 17, 13, 9] [17, 13, 9] --------------- = ----------- [15, 17, 14] [15, 14] [1, 1, 17, 13, 0] [1, 1, 13, 0] ----------------- = ------------- [15, 17, 14] [15, 14] [1, 3, 17, 12, 9] [1, 3, 12, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [1, 7, 17, 11, 9] [1, 7, 11, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [1, 9, 17, 11, 0] [1, 9, 11, 0] ----------------- = ------------- [15, 17, 14] [15, 14] [1, 11, 17, 10, 9] [1, 11, 10, 9] ------------------ = -------------- [15, 17, 14] [15, 14] [1, 15, 17, 9, 9] [1, 15, 9, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [1, 17, 17, 9, 0] [1, 17, 9, 0] ----------------- = ------------- [15, 17, 14] [15, 14] [2, 1, 17, 8, 9] [2, 1, 8, 9] ---------------- = ------------ [15, 17, 14] [15, 14] [2, 5, 17, 7, 9] [2, 5, 7, 9] ---------------- = ------------ [15, 17, 14] [15, 14] [2, 7, 17, 7, 0] [2, 7, 7, 0] ---------------- = ------------ [15, 17, 14] [15, 14] [2, 9, 17, 6, 9] [2, 9, 6, 9] ---------------- = ------------ [15, 17, 14] [15, 14] [2, 13, 17, 5, 9] [2, 13, 5, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [2, 15, 17, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [15, 17, 14] [15, 14] [2, 17, 17, 4, 9] [2, 17, 4, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [3, 3, 17, 3, 9] [3, 3, 3, 9] ---------------- = ------------ [15, 17, 14] [15, 14] [3, 5, 17, 3, 0] [3, 5, 3, 0] ---------------- = ------------ [15, 17, 14] [15, 14] [3, 7, 17, 2, 9] [3, 7, 2, 9] ---------------- = ------------ [15, 17, 14] [15, 14] [3, 11, 17, 1, 9] [3, 11, 1, 9] ----------------- = ------------- [15, 17, 14] [15, 14] [3, 13, 17, 1, 0] [3, 13, 1, 0] ----------------- = ------------- [15, 17, 14] [15, 14] [3, 15, 17, 0, 9] [3, 15, 0, 9] ----------------- = ------------- [15, 17, 14] [15, 14] denominator=, [15, 17, 16] [3, 17, 17, 9] [3, 17, 9] -------------- = ---------- [15, 17, 16] [15, 16] [11, 17, 16, 9] [11, 16, 9] --------------- = ----------- [15, 17, 16] [15, 16] [1, 1, 17, 15, 9] [1, 1, 15, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [1, 9, 17, 14, 9] [1, 9, 14, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [1, 17, 17, 13, 9] [1, 17, 13, 9] ------------------ = -------------- [15, 17, 16] [15, 16] [2, 7, 17, 12, 9] [2, 7, 12, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [2, 15, 17, 11, 9] [2, 15, 11, 9] ------------------ = -------------- [15, 17, 16] [15, 16] [3, 5, 17, 10, 9] [3, 5, 10, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [3, 13, 17, 9, 9] [3, 13, 9, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [4, 3, 17, 8, 9] [4, 3, 8, 9] ---------------- = ------------ [15, 17, 16] [15, 16] [4, 11, 17, 7, 9] [4, 11, 7, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [5, 1, 17, 6, 9] [5, 1, 6, 9] ---------------- = ------------ [15, 17, 16] [15, 16] [5, 9, 17, 5, 9] [5, 9, 5, 9] ---------------- = ------------ [15, 17, 16] [15, 16] [5, 17, 17, 4, 9] [5, 17, 4, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [6, 7, 17, 3, 9] [6, 7, 3, 9] ---------------- = ------------ [15, 17, 16] [15, 16] [6, 15, 17, 2, 9] [6, 15, 2, 9] ----------------- = ------------- [15, 17, 16] [15, 16] [7, 5, 17, 1, 9] [7, 5, 1, 9] ---------------- = ------------ [15, 17, 16] [15, 16] [7, 13, 17, 0, 9] [7, 13, 0, 9] ----------------- = ------------- [15, 17, 16] [15, 16] denominator=, [16, 4, 4] [2, 3, 4, 3, 12] [2, 3, 3, 12] ---------------- = ------------- [16, 4, 4] [16, 4] [4, 13, 4, 3, 0] [4, 13, 3, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [7, 5, 4, 2, 6] [7, 5, 2, 6] --------------- = ------------ [16, 4, 4] [16, 4] [9, 15, 4, 1, 12] [9, 15, 1, 12] ----------------- = -------------- [16, 4, 4] [16, 4] [12, 7, 4, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [14, 17, 4, 0, 6] [14, 17, 0, 6] ----------------- = -------------- [16, 4, 4] [16, 4] denominator=, [16, 8, 2] [2, 8, 7, 9] [2, 7, 9] ------------ = --------- [16, 8, 2] [16, 2] denominator=, [16, 8, 6] [6, 8, 7, 9] [6, 7, 9] ------------ = --------- [16, 8, 6] [16, 6] [1, 8, 8, 4, 9] [1, 8, 4, 9] --------------- = ------------ [16, 8, 6] [16, 6] [2, 0, 8, 3, 0] [2, 0, 3, 0] --------------- = ------------ [16, 8, 6] [16, 6] [2, 10, 8, 1, 9] [2, 10, 1, 9] ---------------- = ------------- [16, 8, 6] [16, 6] [3, 2, 8, 0, 0] [3, 2, 0, 0] --------------- = ------------ [16, 8, 6] [16, 6] denominator=, [16, 8, 7] [2, 8, 8, 4, 9] [2, 8, 4, 9] --------------- = ------------ [16, 8, 7] [16, 7] [4, 0, 8, 2, 0] [4, 0, 2, 0] --------------- = ------------ [16, 8, 7] [16, 7] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [4, 14, 8, 6, 0] [4, 14, 6, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [12, 10, 8, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 12, 12] [4, 15, 12, 9, 0] [4, 15, 9, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [12, 13, 12, 3, 0] [12, 13, 3, 0] ------------------ = -------------- [16, 12, 12] [16, 12] denominator=, [16, 13, 12] [1, 17, 13, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [16, 13, 12] [16, 12] [3, 0, 13, 8, 0] [3, 0, 8, 0] ---------------- = ------------ [16, 13, 12] [16, 12] [4, 1, 13, 6, 0] [4, 1, 6, 0] ---------------- = ------------ [16, 13, 12] [16, 12] [5, 2, 13, 4, 0] [5, 2, 4, 0] ---------------- = ------------ [16, 13, 12] [16, 12] [7, 4, 13, 0, 0] [7, 4, 0, 0] ---------------- = ------------ [16, 13, 12] [16, 12] denominator=, [16, 14, 9] [3, 14, 13, 9] [3, 13, 9] -------------- = ---------- [16, 14, 9] [16, 9] [1, 11, 14, 4, 9] [1, 11, 4, 9] ----------------- = ------------- [16, 14, 9] [16, 9] [2, 6, 14, 0, 0] [2, 6, 0, 0] ---------------- = ------------ [16, 14, 9] [16, 9] denominator=, [16, 14, 11] [5, 14, 13, 9] [5, 13, 9] -------------- = ---------- [16, 14, 11] [16, 11] [1, 9, 14, 8, 9] [1, 9, 8, 9] ---------------- = ------------ [16, 14, 11] [16, 11] [2, 2, 14, 6, 0] [2, 2, 6, 0] ---------------- = ------------ [16, 14, 11] [16, 11] [2, 13, 14, 3, 9] [2, 13, 3, 9] ----------------- = ------------- [16, 14, 11] [16, 11] [3, 6, 14, 1, 0] [3, 6, 1, 0] ---------------- = ------------ [16, 14, 11] [16, 11] denominator=, [16, 15, 13] [3, 3, 15, 6, 0] [3, 3, 6, 0] ---------------- = ------------ [16, 15, 13] [16, 13] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [8, 16, 9, 1] [8, 9, 1] ------------- = --------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [8, 16, 10, 2] [8, 10, 2] -------------- = ---------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [1, 2, 16, 0, 17] [1, 2, 0, 17] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [8, 16, 11, 3] [8, 11, 3] -------------- = ---------- [16, 16, 6] [16, 6] [1, 6, 16, 0, 15] [1, 6, 0, 15] ----------------- = ------------- [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [8, 16, 12, 4] [8, 12, 4] -------------- = ---------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [1, 0, 16, 6, 17] [1, 0, 6, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 5, 16] [1, 2, 5, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 4, 15] [1, 4, 4, 15] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 6, 16, 3, 14] [1, 6, 3, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 2, 13] [1, 8, 2, 13] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 1, 12] [1, 10, 1, 12] ------------------ = -------------- [16, 16, 8] [16, 8] [1, 12, 16, 0, 11] [1, 12, 0, 11] ------------------ = -------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [8, 16, 13, 5] [8, 13, 5] -------------- = ---------- [16, 16, 10] [16, 10] [1, 6, 16, 6, 13] [1, 6, 6, 13] ----------------- = ------------- [16, 16, 10] [16, 10] [2, 4, 16, 0, 3] [2, 4, 0, 3] ---------------- = ------------ [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [8, 16, 14, 6] [8, 14, 6] -------------- = ---------- [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [1, 2, 16, 10, 15] [1, 2, 10, 15] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 6, 16, 9, 12] [1, 6, 9, 12] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 10, 16, 8, 9] [1, 10, 8, 9] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 6, 3] [2, 0, 6, 3] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 4, 16, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 8, 16, 3, 15] [2, 8, 3, 15] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 16, 16, 1, 9] [2, 16, 1, 9] ----------------- = ------------- [16, 16, 12] [16, 12] [3, 2, 16, 0, 6] [3, 2, 0, 6] ---------------- = ------------ [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [8, 16, 15, 7] [8, 15, 7] -------------- = ---------- [16, 16, 14] [16, 14] [1, 6, 16, 12, 11] [1, 6, 12, 11] ------------------ = -------------- [16, 16, 14] [16, 14] [2, 4, 16, 9, 15] [2, 4, 9, 15] ----------------- = ------------- [16, 16, 14] [16, 14] [3, 2, 16, 7, 1] [3, 2, 7, 1] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 0, 16, 4, 5] [4, 0, 4, 5] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 16, 16, 1, 9] [4, 16, 1, 9] ----------------- = ------------- [16, 16, 14] [16, 14] denominator=, [16, 17, 1] [17, 17, 0] [17, 0] ----------- = ------- [16, 17, 1] [16, 1] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [16, 17, 1] [16, 1] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [16, 17, 1] [16, 1] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [16, 17, 1] [16, 1] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [16, 17, 1] [16, 1] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [16, 17, 1] [16, 1] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [16, 17, 1] [16, 1] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [16, 17, 1] [16, 1] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [16, 17, 1] [16, 1] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [16, 17, 1] [16, 1] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [16, 17, 1] [16, 1] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [16, 17, 1] [16, 1] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [16, 17, 1] [16, 1] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [16, 17, 1] [16, 1] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [16, 17, 1] [16, 1] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [16, 17, 1] [16, 1] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [16, 17, 1] [16, 1] denominator=, [17, 5, 2] [3, 5, 4, 12] [3, 4, 12] ------------- = ---------- [17, 5, 2] [17, 2] [10, 5, 3, 6] [10, 3, 6] ------------- = ---------- [17, 5, 2] [17, 2] [1, 6, 5, 0, 12] [1, 6, 0, 12] ---------------- = ------------- [17, 5, 2] [17, 2] denominator=, [17, 7, 6] [3, 0, 7, 3, 0] [3, 0, 3, 0] --------------- = ------------ [17, 7, 6] [17, 6] [5, 1, 7, 0, 0] [5, 1, 0, 0] --------------- = ------------ [17, 7, 6] [17, 6] denominator=, [17, 8, 0] [6, 8, 5, 6] [6, 5, 6] ------------ = --------- [17, 8, 0] [17, 0] denominator=, [17, 8, 2] [2, 8, 7, 10] [2, 7, 10] ------------- = ---------- [17, 8, 2] [17, 2] [5, 8, 6, 8] [5, 6, 8] ------------ = --------- [17, 8, 2] [17, 2] [8, 8, 5, 6] [8, 5, 6] ------------ = --------- [17, 8, 2] [17, 2] [11, 8, 4, 4] [11, 4, 4] ------------- = ---------- [17, 8, 2] [17, 2] [14, 8, 3, 2] [14, 3, 2] ------------- = ---------- [17, 8, 2] [17, 2] [1, 2, 8, 0, 16] [1, 2, 0, 16] ---------------- = ------------- [17, 8, 2] [17, 2] denominator=, [17, 8, 3] [6, 8, 6, 8] [6, 6, 8] ------------ = --------- [17, 8, 3] [17, 3] denominator=, [17, 8, 6] [6, 8, 7, 10] [6, 7, 10] ------------- = ---------- [17, 8, 6] [17, 6] [1, 10, 8, 4, 8] [1, 10, 4, 8] ---------------- = ------------- [17, 8, 6] [17, 6] [2, 3, 8, 2, 16] [2, 3, 2, 16] ---------------- = ------------- [17, 8, 6] [17, 6] denominator=, [17, 10, 6] [2, 4, 10, 0, 0] [2, 4, 0, 0] ---------------- = ------------ [17, 10, 6] [17, 6] denominator=, [17, 11, 4] [2, 11, 10, 9] [2, 10, 9] -------------- = ---------- [17, 11, 4] [17, 4] [7, 11, 8, 6] [7, 8, 6] ------------- = --------- [17, 11, 4] [17, 4] [12, 11, 6, 3] [12, 6, 3] -------------- = ---------- [17, 11, 4] [17, 4] [1, 4, 11, 1, 15] [1, 4, 1, 15] ----------------- = ------------- [17, 11, 4] [17, 4] denominator=, [17, 11, 8] [2, 6, 11, 2, 15] [2, 6, 2, 15] ----------------- = ------------- [17, 11, 8] [17, 8] denominator=, [17, 11, 9] [7, 11, 10, 9] [7, 10, 9] -------------- = ---------- [17, 11, 9] [17, 9] [1, 9, 11, 7, 9] [1, 9, 7, 9] ---------------- = ------------ [17, 11, 9] [17, 9] [2, 1, 11, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [17, 11, 9] [17, 9] [2, 11, 11, 4, 9] [2, 11, 4, 9] ----------------- = ------------- [17, 11, 9] [17, 9] [3, 3, 11, 3, 0] [3, 3, 3, 0] ---------------- = ------------ [17, 11, 9] [17, 9] [4, 5, 11, 0, 0] [4, 5, 0, 0] ---------------- = ------------ [17, 11, 9] [17, 9] denominator=, [17, 11, 10] [2, 6, 11, 7, 12] [2, 6, 7, 12] ----------------- = ------------- [17, 11, 10] [17, 10] [5, 2, 11, 3, 0] [5, 2, 3, 0] ---------------- = ------------ [17, 11, 10] [17, 10] denominator=, [17, 12, 9] [3, 6, 12, 0, 0] [3, 6, 0, 0] ---------------- = ------------ [17, 12, 9] [17, 9] denominator=, [17, 15, 14] [2, 0, 15, 12, 0] [2, 0, 12, 0] ----------------- = ------------- [17, 15, 14] [17, 14] [3, 1, 15, 10, 0] [3, 1, 10, 0] ----------------- = ------------- [17, 15, 14] [17, 14] [4, 2, 15, 8, 0] [4, 2, 8, 0] ---------------- = ------------ [17, 15, 14] [17, 14] [5, 3, 15, 6, 0] [5, 3, 6, 0] ---------------- = ------------ [17, 15, 14] [17, 14] [6, 4, 15, 4, 0] [6, 4, 4, 0] ---------------- = ------------ [17, 15, 14] [17, 14] [7, 5, 15, 2, 0] [7, 5, 2, 0] ---------------- = ------------ [17, 15, 14] [17, 14] [8, 6, 15, 0, 0] [8, 6, 0, 0] ---------------- = ------------ [17, 15, 14] [17, 14] denominator=, [17, 16, 14] [4, 6, 16, 4, 0] [4, 6, 4, 0] ---------------- = ------------ [17, 16, 14] [17, 14] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 6, 12] [1, 10] [1] ----------- = ------- [10, 6, 12] [6, 12] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 10, 9] [3, 16, 10] [3, 16] ----------- = ------- [10, 10, 9] [10, 9] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [13, 11, 10] [4, 13] [4] ------------ = -------- [13, 11, 10] [11, 10] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 13, 9] [2, 3, 13] [2, 3] ----------- = ------- [13, 13, 9] [13, 9] denominator=, [14, 10, 9] [2, 14] [2] ----------- = ------- [14, 10, 9] [10, 9] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 14, 12] [4, 5, 14] [4, 5] ------------ = -------- [14, 14, 12] [14, 12] denominator=, [15, 13, 9] [5, 15] [5] ----------- = ------- [15, 13, 9] [13, 9] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 10] [2, 6, 15] [2, 6] ------------ = -------- [15, 15, 10] [15, 10] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [17, 9, 0] [1, 17] [1] ---------- = ------ [17, 9, 0] [9, 0] denominator=, [17, 12, 0] [2, 17] [2] ----------- = ------- [17, 12, 0] [12, 0] denominator=, [17, 13, 9] [3, 17] [3] ----------- = ------- [17, 13, 9] [13, 9] denominator=, [17, 15, 0] [5, 17] [5] ----------- = ------- [17, 15, 0] [15, 0] denominator=, [17, 16, 0] [8, 17] [8] ----------- = ------- [17, 16, 0] [16, 0] denominator=, [17, 16, 9] [11, 17] [11] ----------- = ------- [17, 16, 9] [16, 9] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [17, 17, 6] [1, 8, 17] [1, 8] ----------- = ------- [17, 17, 6] [17, 6] denominator=, [17, 17, 9] [1, 17, 17] [1, 17] ----------- = ------- [17, 17, 9] [17, 9] denominator=, [17, 17, 12] [2, 17, 17] [2, 17] ------------ = -------- [17, 17, 12] [17, 12] denominator=, [17, 17, 14] [4, 8, 17] [4, 8] ------------ = -------- [17, 17, 14] [17, 14] denominator=, [17, 17, 15] [5, 17, 17] [5, 17] ------------ = -------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [8, 17, 17] [8, 17] ------------ = -------- [17, 17, 16] [17, 16] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [1, 15, 0] [1, 15] [15] ---------- = ------- [1, 15, 0] [15, 0] denominator=, [1, 16, 0] [1, 16] [16] ---------- = ------- [1, 16, 0] [16, 0] denominator=, [1, 17, 0] [1, 17] [17] ---------- = ------- [1, 17, 0] [17, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [2, 16, 0] [2, 16] [16] ---------- = ------- [2, 16, 0] [16, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [3, 15, 0] [3, 15] [15] ---------- = ------- [3, 15, 0] [15, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [4, 16, 0] [4, 16] [16] ---------- = ------- [4, 16, 0] [16, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 15, 0] [5, 15] [15] ---------- = ------- [5, 15, 0] [15, 0] denominator=, [5, 17, 0] [5, 17] [17] ---------- = ------- [5, 17, 0] [17, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 5, 15] [1, 7, 2] [1, 2] ---------- = ------- [7, 5, 15] [5, 15] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 6] [1, 10, 7, 2] [1, 10, 2] ------------- = ---------- [7, 7, 6] [7, 6] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 0] [7, 14] [14] ---------- = ------- [7, 14, 0] [14, 0] denominator=, [7, 17, 0] [7, 17] [17] ---------- = ------- [7, 17, 0] [17, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 6, 12] [1, 10, 0] [1, 0] ----------- = ------- [10, 6, 12] [6, 12] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 7, 14] [1, 10, 3] [1, 3] ----------- = ------- [10, 7, 14] [7, 14] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 16] [1, 10, 6] [1, 6] ----------- = ------- [10, 8, 16] [8, 16] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 9] [1, 12, 10, 6] [1, 12, 6] -------------- = ---------- [10, 10, 9] [10, 9] [2, 14, 10, 3] [2, 14, 3] -------------- = ---------- [10, 10, 9] [10, 9] [3, 16, 10, 0] [3, 16, 0] -------------- = ---------- [10, 10, 9] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 17, 0] [10, 17] [17] ----------- = ------- [10, 17, 0] [17, 0] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 9, 14] [2, 11, 4] [2, 4] ----------- = ------- [11, 9, 14] [9, 14] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 9] [1, 15, 11, 4] [1, 15, 4] -------------- = ---------- [11, 11, 9] [11, 9] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 10, 12] [3, 12, 2] [3, 2] ------------ = -------- [12, 10, 12] [10, 12] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 12, 9] [2, 0, 12, 2] [2, 0, 2] ------------- = --------- [12, 12, 9] [12, 9] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 8, 12] [1, 13, 2] [1, 2] ----------- = ------- [13, 8, 12] [8, 12] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 10, 15] [1, 13, 7] [1, 7] ------------ = -------- [13, 10, 15] [10, 15] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 11, 10] [4, 13, 0] [4, 0] ------------ = -------- [13, 11, 10] [11, 10] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 9] [2, 3, 13, 0] [2, 3, 0] ------------- = --------- [13, 13, 9] [13, 9] denominator=, [13, 13, 12] [2, 16, 13, 7] [2, 16, 7] -------------- = ---------- [13, 13, 12] [13, 12] [5, 1, 13, 2] [5, 1, 2] ------------- = --------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 17, 0] [13, 17] [17] ----------- = ------- [13, 17, 0] [17, 0] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 10, 9] [2, 14, 0] [2, 0] ----------- = ------- [14, 10, 9] [10, 9] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 11, 12] [2, 14, 4] [2, 4] ------------ = -------- [14, 11, 12] [11, 12] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 12, 15] [2, 14, 8] [2, 8] ------------ = -------- [14, 12, 15] [12, 15] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 14, 12] [1, 17, 14, 8] [1, 17, 8] -------------- = ---------- [14, 14, 12] [14, 12] [3, 2, 14, 4] [3, 2, 4] ------------- = --------- [14, 14, 12] [14, 12] [4, 5, 14, 0] [4, 5, 0] ------------- = --------- [14, 14, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 17, 0] [14, 17] [17] ----------- = ------- [14, 17, 0] [17, 0] denominator=, [15, 1, 0] [15, 1] [1] ---------- = ------ [15, 1, 0] [1, 0] denominator=, [15, 2, 0] [15, 2] [2] ---------- = ------ [15, 2, 0] [2, 0] denominator=, [15, 3, 0] [15, 3] [3] ---------- = ------ [15, 3, 0] [3, 0] denominator=, [15, 4, 0] [15, 4] [4] ---------- = ------ [15, 4, 0] [4, 0] denominator=, [15, 5, 0] [15, 5] [5] ---------- = ------ [15, 5, 0] [5, 0] denominator=, [15, 6, 0] [15, 6] [6] ---------- = ------ [15, 6, 0] [6, 0] denominator=, [15, 7, 0] [15, 7] [7] ---------- = ------ [15, 7, 0] [7, 0] denominator=, [15, 8, 0] [15, 8] [8] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 9, 0] [15, 9] [9] ---------- = ------ [15, 9, 0] [9, 0] denominator=, [15, 10, 0] [15, 10] [10] ----------- = ------- [15, 10, 0] [10, 0] denominator=, [15, 11, 0] [15, 11] [11] ----------- = ------- [15, 11, 0] [11, 0] denominator=, [15, 12, 0] [15, 12] [12] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 12, 9] [3, 15, 1] [3, 1] ----------- = ------- [15, 12, 9] [12, 9] denominator=, [15, 13, 0] [15, 13] [13] ----------- = ------- [15, 13, 0] [13, 0] denominator=, [15, 13, 9] [5, 15, 0] [5, 0] ----------- = ------- [15, 13, 9] [13, 9] denominator=, [15, 14, 0] [15, 14] [14] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 15, 10] [2, 6, 15, 0] [2, 6, 0] ------------- = --------- [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [3, 6, 15, 1] [3, 6, 1] ------------- = --------- [15, 15, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [16, 1, 0] [16, 1] [1] ---------- = ------ [16, 1, 0] [1, 0] denominator=, [16, 2, 0] [16, 2] [2] ---------- = ------ [16, 2, 0] [2, 0] denominator=, [16, 3, 0] [16, 3] [3] ---------- = ------ [16, 3, 0] [3, 0] denominator=, [16, 4, 0] [16, 4] [4] ---------- = ------ [16, 4, 0] [4, 0] denominator=, [16, 5, 0] [16, 5] [5] ---------- = ------ [16, 5, 0] [5, 0] denominator=, [16, 6, 0] [16, 6] [6] ---------- = ------ [16, 6, 0] [6, 0] denominator=, [16, 7, 0] [16, 7] [7] ---------- = ------ [16, 7, 0] [7, 0] denominator=, [16, 8, 0] [16, 8] [8] ---------- = ------ [16, 8, 0] [8, 0] denominator=, [16, 9, 0] [16, 9] [9] ---------- = ------ [16, 9, 0] [9, 0] denominator=, [16, 10, 0] [16, 10] [10] ----------- = ------- [16, 10, 0] [10, 0] denominator=, [16, 10, 12] [1, 16, 4] [1, 4] ------------ = -------- [16, 10, 12] [10, 12] denominator=, [16, 11, 0] [16, 11] [11] ----------- = ------- [16, 11, 0] [11, 0] denominator=, [16, 12, 0] [16, 12] [12] ----------- = ------- [16, 12, 0] [12, 0] denominator=, [16, 13, 0] [16, 13] [13] ----------- = ------- [16, 13, 0] [13, 0] denominator=, [16, 14, 0] [16, 14] [14] ----------- = ------- [16, 14, 0] [14, 0] denominator=, [16, 14, 12] [4, 16, 5] [4, 5] ------------ = -------- [16, 14, 12] [14, 12] denominator=, [16, 15, 0] [16, 15] [15] ----------- = ------- [16, 15, 0] [15, 0] denominator=, [16, 16, 12] [2, 4, 16, 5] [2, 4, 5] ------------- = --------- [16, 16, 12] [16, 12] denominator=, [16, 16, 15] [6, 4, 16, 4] [6, 4, 4] ------------- = --------- [16, 16, 15] [16, 15] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [17, 1, 0] [17, 1] [1] ---------- = ------ [17, 1, 0] [1, 0] denominator=, [17, 2, 0] [17, 2] [2] ---------- = ------ [17, 2, 0] [2, 0] denominator=, [17, 3, 0] [17, 3] [3] ---------- = ------ [17, 3, 0] [3, 0] denominator=, [17, 4, 0] [17, 4] [4] ---------- = ------ [17, 4, 0] [4, 0] denominator=, [17, 5, 0] [17, 5] [5] ---------- = ------ [17, 5, 0] [5, 0] denominator=, [17, 6, 0] [17, 6] [6] ---------- = ------ [17, 6, 0] [6, 0] denominator=, [17, 7, 0] [17, 7] [7] ---------- = ------ [17, 7, 0] [7, 0] denominator=, [17, 8, 0] [17, 8] [8] ---------- = ------ [17, 8, 0] [8, 0] denominator=, [17, 9, 0] [17, 9] [9] ---------- = ------ [17, 9, 0] [9, 0] [1, 17, 0] [1, 0] ---------- = ------ [17, 9, 0] [9, 0] denominator=, [17, 9, 9] [1, 17, 1] [1, 1] ---------- = ------ [17, 9, 9] [9, 9] denominator=, [17, 10, 0] [17, 10] [10] ----------- = ------- [17, 10, 0] [10, 0] [1, 17, 2] [1, 2] ----------- = ------- [17, 10, 0] [10, 0] denominator=, [17, 10, 9] [1, 17, 3] [1, 3] ----------- = ------- [17, 10, 9] [10, 9] denominator=, [17, 11, 0] [17, 11] [11] ----------- = ------- [17, 11, 0] [11, 0] [1, 17, 4] [1, 4] ----------- = ------- [17, 11, 0] [11, 0] denominator=, [17, 11, 9] [1, 17, 5] [1, 5] ----------- = ------- [17, 11, 9] [11, 9] denominator=, [17, 12, 0] [17, 12] [12] ----------- = ------- [17, 12, 0] [12, 0] [1, 17, 6] [1, 6] ----------- = ------- [17, 12, 0] [12, 0] [2, 17, 0] [2, 0] ----------- = ------- [17, 12, 0] [12, 0] denominator=, [17, 12, 6] [2, 17, 1] [2, 1] ----------- = ------- [17, 12, 6] [12, 6] denominator=, [17, 12, 9] [1, 17, 7] [1, 7] ----------- = ------- [17, 12, 9] [12, 9] denominator=, [17, 12, 12] [2, 17, 2] [2, 2] ------------ = -------- [17, 12, 12] [12, 12] denominator=, [17, 13, 0] [17, 13] [13] ----------- = ------- [17, 13, 0] [13, 0] [1, 17, 8] [1, 8] ----------- = ------- [17, 13, 0] [13, 0] [2, 17, 3] [2, 3] ----------- = ------- [17, 13, 0] [13, 0] denominator=, [17, 13, 6] [2, 17, 4] [2, 4] ----------- = ------- [17, 13, 6] [13, 6] denominator=, [17, 13, 9] [1, 17, 9] [1, 9] ----------- = ------- [17, 13, 9] [13, 9] [3, 17, 0] [3, 0] ----------- = ------- [17, 13, 9] [13, 9] denominator=, [17, 13, 12] [2, 17, 5] [2, 5] ------------ = -------- [17, 13, 12] [13, 12] denominator=, [17, 14, 0] [17, 14] [14] ----------- = ------- [17, 14, 0] [14, 0] [1, 17, 10] [1, 10] ----------- = ------- [17, 14, 0] [14, 0] [2, 17, 6] [2, 6] ----------- = ------- [17, 14, 0] [14, 0] [3, 17, 2] [3, 2] ----------- = ------- [17, 14, 0] [14, 0] denominator=, [17, 14, 6] [2, 17, 7] [2, 7] ----------- = ------- [17, 14, 6] [14, 6] denominator=, [17, 14, 9] [1, 17, 11] [1, 11] ----------- = ------- [17, 14, 9] [14, 9] [3, 17, 4] [3, 4] ----------- = ------- [17, 14, 9] [14, 9] denominator=, [17, 14, 12] [2, 17, 8] [2, 8] ------------ = -------- [17, 14, 12] [14, 12] denominator=, [17, 15, 0] [17, 15] [15] ----------- = ------- [17, 15, 0] [15, 0] [1, 17, 12] [1, 12] ----------- = ------- [17, 15, 0] [15, 0] [2, 17, 9] [2, 9] ----------- = ------- [17, 15, 0] [15, 0] [3, 17, 6] [3, 6] ----------- = ------- [17, 15, 0] [15, 0] [4, 17, 3] [4, 3] ----------- = ------- [17, 15, 0] [15, 0] [5, 17, 0] [5, 0] ----------- = ------- [17, 15, 0] [15, 0] denominator=, [17, 15, 3] [5, 17, 1] [5, 1] ----------- = ------- [17, 15, 3] [15, 3] denominator=, [17, 15, 6] [2, 17, 10] [2, 10] ----------- = ------- [17, 15, 6] [15, 6] [5, 17, 2] [5, 2] ----------- = ------- [17, 15, 6] [15, 6] denominator=, [17, 15, 9] [1, 17, 13] [1, 13] ----------- = ------- [17, 15, 9] [15, 9] [3, 17, 8] [3, 8] ----------- = ------- [17, 15, 9] [15, 9] [5, 17, 3] [5, 3] ----------- = ------- [17, 15, 9] [15, 9] denominator=, [17, 15, 12] [2, 17, 11] [2, 11] ------------ = -------- [17, 15, 12] [15, 12] [5, 17, 4] [5, 4] ------------ = -------- [17, 15, 12] [15, 12] denominator=, [17, 15, 15] [5, 17, 5] [5, 5] ------------ = -------- [17, 15, 15] [15, 15] denominator=, [17, 16, 0] [17, 16] [16] ----------- = ------- [17, 16, 0] [16, 0] [1, 17, 14] [1, 14] ----------- = ------- [17, 16, 0] [16, 0] [2, 17, 12] [2, 12] ----------- = ------- [17, 16, 0] [16, 0] [3, 17, 10] [3, 10] ----------- = ------- [17, 16, 0] [16, 0] [4, 17, 8] [4, 8] ----------- = ------- [17, 16, 0] [16, 0] [5, 17, 6] [5, 6] ----------- = ------- [17, 16, 0] [16, 0] [6, 17, 4] [6, 4] ----------- = ------- [17, 16, 0] [16, 0] [7, 17, 2] [7, 2] ----------- = ------- [17, 16, 0] [16, 0] [8, 17, 0] [8, 0] ----------- = ------- [17, 16, 0] [16, 0] denominator=, [17, 16, 2] [8, 17, 1] [8, 1] ----------- = ------- [17, 16, 2] [16, 2] denominator=, [17, 16, 3] [5, 17, 7] [5, 7] ----------- = ------- [17, 16, 3] [16, 3] denominator=, [17, 16, 4] [8, 17, 2] [8, 2] ----------- = ------- [17, 16, 4] [16, 4] denominator=, [17, 16, 6] [2, 17, 13] [2, 13] ----------- = ------- [17, 16, 6] [16, 6] [5, 17, 8] [5, 8] ----------- = ------- [17, 16, 6] [16, 6] [8, 17, 3] [8, 3] ----------- = ------- [17, 16, 6] [16, 6] denominator=, [17, 16, 8] [8, 17, 4] [8, 4] ----------- = ------- [17, 16, 8] [16, 8] denominator=, [17, 16, 9] [1, 17, 15] [1, 15] ----------- = ------- [17, 16, 9] [16, 9] [3, 17, 12] [3, 12] ----------- = ------- [17, 16, 9] [16, 9] [5, 17, 9] [5, 9] ----------- = ------- [17, 16, 9] [16, 9] [7, 17, 6] [7, 6] ----------- = ------- [17, 16, 9] [16, 9] [9, 17, 3] [9, 3] ----------- = ------- [17, 16, 9] [16, 9] [11, 17, 0] [11, 0] ----------- = ------- [17, 16, 9] [16, 9] denominator=, [17, 16, 10] [8, 17, 5] [8, 5] ------------ = -------- [17, 16, 10] [16, 10] denominator=, [17, 16, 12] [2, 17, 14] [2, 14] ------------ = -------- [17, 16, 12] [16, 12] [5, 17, 10] [5, 10] ------------ = -------- [17, 16, 12] [16, 12] [8, 17, 6] [8, 6] ------------ = -------- [17, 16, 12] [16, 12] [11, 17, 2] [11, 2] ------------ = -------- [17, 16, 12] [16, 12] denominator=, [17, 16, 14] [8, 17, 7] [8, 7] ------------ = -------- [17, 16, 14] [16, 14] denominator=, [17, 16, 15] [5, 17, 11] [5, 11] ------------ = -------- [17, 16, 15] [16, 15] [11, 17, 4] [11, 4] ------------ = -------- [17, 16, 15] [16, 15] denominator=, [17, 16, 16] [8, 17, 8] [8, 8] ------------ = -------- [17, 16, 16] [16, 16] denominator=, [17, 17, 2] [8, 17, 10] [8, 10] ----------- = ------- [17, 17, 2] [17, 2] denominator=, [17, 17, 3] [5, 17, 13] [5, 13] ----------- = ------- [17, 17, 3] [17, 3] [11, 17, 8] [11, 8] ----------- = ------- [17, 17, 3] [17, 3] denominator=, [17, 17, 4] [8, 17, 11] [8, 11] ----------- = ------- [17, 17, 4] [17, 4] denominator=, [17, 17, 6] [2, 17, 16] [2, 16] ----------- = ------- [17, 17, 6] [17, 6] [5, 17, 14] [5, 14] ----------- = ------- [17, 17, 6] [17, 6] [8, 17, 12] [8, 12] ----------- = ------- [17, 17, 6] [17, 6] [11, 17, 10] [11, 10] ------------ = -------- [17, 17, 6] [17, 6] [14, 17, 8] [14, 8] ----------- = ------- [17, 17, 6] [17, 6] [1, 2, 17, 4] [1, 2, 4] ------------- = --------- [17, 17, 6] [17, 6] [1, 5, 17, 2] [1, 5, 2] ------------- = --------- [17, 17, 6] [17, 6] [1, 8, 17, 0] [1, 8, 0] ------------- = --------- [17, 17, 6] [17, 6] denominator=, [17, 17, 8] [8, 17, 13] [8, 13] ----------- = ------- [17, 17, 8] [17, 8] [1, 8, 17, 3] [1, 8, 3] ------------- = --------- [17, 17, 8] [17, 8] denominator=, [17, 17, 9] [1, 17, 17] [1, 17] ----------- = ------- [17, 17, 9] [17, 9] [3, 17, 16] [3, 16] ----------- = ------- [17, 17, 9] [17, 9] [5, 17, 15] [5, 15] ----------- = ------- [17, 17, 9] [17, 9] [7, 17, 14] [7, 14] ----------- = ------- [17, 17, 9] [17, 9] [9, 17, 13] [9, 13] ----------- = ------- [17, 17, 9] [17, 9] [11, 17, 12] [11, 12] ------------ = -------- [17, 17, 9] [17, 9] [13, 17, 11] [13, 11] ------------ = -------- [17, 17, 9] [17, 9] [15, 17, 10] [15, 10] ------------ = -------- [17, 17, 9] [17, 9] [1, 1, 17, 8] [1, 1, 8] ------------- = --------- [17, 17, 9] [17, 9] [1, 3, 17, 7] [1, 3, 7] ------------- = --------- [17, 17, 9] [17, 9] [1, 5, 17, 6] [1, 5, 6] ------------- = --------- [17, 17, 9] [17, 9] [1, 7, 17, 5] [1, 7, 5] ------------- = --------- [17, 17, 9] [17, 9] [1, 9, 17, 4] [1, 9, 4] ------------- = --------- [17, 17, 9] [17, 9] [1, 11, 17, 3] [1, 11, 3] -------------- = ---------- [17, 17, 9] [17, 9] [1, 13, 17, 2] [1, 13, 2] -------------- = ---------- [17, 17, 9] [17, 9] [1, 15, 17, 1] [1, 15, 1] -------------- = ---------- [17, 17, 9] [17, 9] denominator=, [17, 17, 10] [8, 17, 14] [8, 14] ------------ = -------- [17, 17, 10] [17, 10] [1, 8, 17, 6] [1, 8, 6] ------------- = --------- [17, 17, 10] [17, 10] denominator=, [17, 17, 12] [2, 17, 17] [2, 17] ------------ = -------- [17, 17, 12] [17, 12] [5, 17, 16] [5, 16] ------------ = -------- [17, 17, 12] [17, 12] [8, 17, 15] [8, 15] ------------ = -------- [17, 17, 12] [17, 12] [11, 17, 14] [11, 14] ------------ = -------- [17, 17, 12] [17, 12] [14, 17, 13] [14, 13] ------------ = -------- [17, 17, 12] [17, 12] [1, 2, 17, 11] [1, 2, 11] -------------- = ---------- [17, 17, 12] [17, 12] [1, 5, 17, 10] [1, 5, 10] -------------- = ---------- [17, 17, 12] [17, 12] [1, 8, 17, 9] [1, 8, 9] ------------- = --------- [17, 17, 12] [17, 12] [1, 11, 17, 8] [1, 11, 8] -------------- = ---------- [17, 17, 12] [17, 12] [1, 14, 17, 7] [1, 14, 7] -------------- = ---------- [17, 17, 12] [17, 12] [2, 2, 17, 5] [2, 2, 5] ------------- = --------- [17, 17, 12] [17, 12] [2, 5, 17, 4] [2, 5, 4] ------------- = --------- [17, 17, 12] [17, 12] [2, 8, 17, 3] [2, 8, 3] ------------- = --------- [17, 17, 12] [17, 12] [2, 11, 17, 2] [2, 11, 2] -------------- = ---------- [17, 17, 12] [17, 12] [2, 14, 17, 1] [2, 14, 1] -------------- = ---------- [17, 17, 12] [17, 12] denominator=, [17, 17, 14] [8, 17, 16] [8, 16] ------------ = -------- [17, 17, 14] [17, 14] [1, 8, 17, 12] [1, 8, 12] -------------- = ---------- [17, 17, 14] [17, 14] [2, 8, 17, 8] [2, 8, 8] ------------- = --------- [17, 17, 14] [17, 14] [3, 8, 17, 4] [3, 8, 4] ------------- = --------- [17, 17, 14] [17, 14] [4, 8, 17, 0] [4, 8, 0] ------------- = --------- [17, 17, 14] [17, 14] denominator=, [17, 17, 15] [5, 17, 17] [5, 17] ------------ = -------- [17, 17, 15] [17, 15] [11, 17, 16] [11, 16] ------------ = -------- [17, 17, 15] [17, 15] [1, 5, 17, 14] [1, 5, 14] -------------- = ---------- [17, 17, 15] [17, 15] [1, 11, 17, 13] [1, 11, 13] --------------- = ----------- [17, 17, 15] [17, 15] [2, 5, 17, 11] [2, 5, 11] -------------- = ---------- [17, 17, 15] [17, 15] [2, 11, 17, 10] [2, 11, 10] --------------- = ----------- [17, 17, 15] [17, 15] [3, 5, 17, 8] [3, 5, 8] ------------- = --------- [17, 17, 15] [17, 15] [3, 11, 17, 7] [3, 11, 7] -------------- = ---------- [17, 17, 15] [17, 15] [4, 5, 17, 5] [4, 5, 5] ------------- = --------- [17, 17, 15] [17, 15] [4, 11, 17, 4] [4, 11, 4] -------------- = ---------- [17, 17, 15] [17, 15] [5, 5, 17, 2] [5, 5, 2] ------------- = --------- [17, 17, 15] [17, 15] [5, 11, 17, 1] [5, 11, 1] -------------- = ---------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [8, 17, 17] [8, 17] ------------ = -------- [17, 17, 16] [17, 16] [1, 8, 17, 15] [1, 8, 15] -------------- = ---------- [17, 17, 16] [17, 16] [2, 8, 17, 13] [2, 8, 13] -------------- = ---------- [17, 17, 16] [17, 16] [3, 8, 17, 11] [3, 8, 11] -------------- = ---------- [17, 17, 16] [17, 16] [4, 8, 17, 9] [4, 8, 9] ------------- = --------- [17, 17, 16] [17, 16] [5, 8, 17, 7] [5, 8, 7] ------------- = --------- [17, 17, 16] [17, 16] [6, 8, 17, 5] [6, 8, 5] ------------- = --------- [17, 17, 16] [17, 16] [7, 8, 17, 3] [7, 8, 3] ------------- = --------- [17, 17, 16] [17, 16] [8, 8, 17, 1] [8, 8, 1] ------------- = --------- [17, 17, 16] [17, 16] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 18, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 15] [1, 3, 0, 16] [1, 0, 16] ------------- = ---------- [3, 2, 15] [2, 15] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 10] [1, 4, 0, 12] [1, 0, 12] ------------- = ---------- [4, 3, 10] [3, 10] denominator=, [4, 3, 14] [1, 4, 1, 15] [1, 1, 15] ------------- = ---------- [4, 3, 14] [3, 14] denominator=, [4, 3, 16] [2, 4, 0, 17] [2, 0, 17] ------------- = ---------- [4, 3, 16] [3, 16] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 17] [6, 0, 17] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [5, 4, 3] [1, 5, 0, 6] [1, 0, 6] ------------ = --------- [5, 4, 3] [4, 3] denominator=, [5, 4, 8] [1, 5, 1, 10] [1, 1, 10] ------------- = ---------- [5, 4, 8] [4, 8] denominator=, [5, 4, 13] [1, 5, 2, 14] [1, 2, 14] ------------- = ---------- [5, 4, 13] [4, 13] [2, 5, 0, 15] [2, 0, 15] ------------- = ---------- [5, 4, 13] [4, 13] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 5, 0] [1, 6, 1, 3] [1, 1, 3] ------------ = --------- [6, 5, 0] [5, 0] denominator=, [6, 5, 6] [1, 6, 2, 8] [1, 2, 8] ------------ = --------- [6, 5, 6] [5, 6] denominator=, [6, 5, 9] [2, 6, 0, 12] [2, 0, 12] ------------- = ---------- [6, 5, 9] [5, 9] denominator=, [6, 5, 12] [1, 6, 3, 13] [1, 3, 13] ------------- = ---------- [6, 5, 12] [5, 12] [2, 6, 1, 14] [2, 1, 14] ------------- = ---------- [6, 5, 12] [5, 12] denominator=, [6, 5, 14] [3, 6, 0, 16] [3, 0, 16] ------------- = ---------- [6, 5, 14] [5, 14] denominator=, [6, 5, 15] [2, 6, 2, 16] [2, 2, 16] ------------- = ---------- [6, 5, 15] [5, 15] denominator=, [6, 5, 16] [3, 6, 1, 17] [3, 1, 17] ------------- = ---------- [6, 5, 16] [5, 16] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 17] [8, 1, 17] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 16] [10, 0, 16] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 16] [9, 2, 16] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 12] [15, 0, 12] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [7, 5, 8] [1, 7, 0, 12] [1, 0, 12] ------------- = ---------- [7, 5, 8] [5, 8] denominator=, [7, 5, 15] [1, 7, 2, 0] [1, 2, 0] ------------ = --------- [7, 5, 15] [5, 15] denominator=, [7, 6, 4] [1, 7, 3, 6] [1, 3, 6] ------------ = --------- [7, 6, 4] [6, 4] [2, 7, 0, 8] [2, 0, 8] ------------ = --------- [7, 6, 4] [6, 4] denominator=, [7, 6, 11] [1, 7, 4, 12] [1, 4, 12] ------------- = ---------- [7, 6, 11] [6, 11] [2, 7, 2, 13] [2, 2, 13] ------------- = ---------- [7, 6, 11] [6, 11] [3, 7, 0, 14] [3, 0, 14] ------------- = ---------- [7, 6, 11] [6, 11] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 14] [1, 8, 0, 1] [1, 0, 1] ------------ = --------- [8, 5, 14] [5, 14] denominator=, [8, 6, 4] [1, 8, 1, 8] [1, 1, 8] ------------ = --------- [8, 6, 4] [6, 4] denominator=, [8, 6, 12] [1, 8, 2, 15] [1, 2, 15] ------------- = ---------- [8, 6, 12] [6, 12] denominator=, [8, 6, 16] [2, 8, 0, 3] [2, 0, 3] ------------ = --------- [8, 6, 16] [6, 16] denominator=, [8, 7, 2] [1, 8, 4, 4] [1, 4, 4] ------------ = --------- [8, 7, 2] [7, 2] [2, 8, 1, 6] [2, 1, 6] ------------ = --------- [8, 7, 2] [7, 2] denominator=, [8, 7, 6] [2, 8, 2, 9] [2, 2, 9] ------------ = --------- [8, 7, 6] [7, 6] denominator=, [8, 7, 10] [1, 8, 5, 11] [1, 5, 11] ------------- = ---------- [8, 7, 10] [7, 10] [2, 8, 3, 12] [2, 3, 12] ------------- = ---------- [8, 7, 10] [7, 10] [3, 8, 1, 13] [3, 1, 13] ------------- = ---------- [8, 7, 10] [7, 10] denominator=, [8, 7, 12] [4, 8, 0, 15] [4, 0, 15] ------------- = ---------- [8, 7, 12] [7, 12] denominator=, [8, 7, 14] [2, 8, 4, 15] [2, 4, 15] ------------- = ---------- [8, 7, 14] [7, 14] [4, 8, 1, 16] [4, 1, 16] ------------- = ---------- [8, 7, 14] [7, 14] denominator=, [8, 7, 16] [4, 8, 2, 17] [4, 2, 17] ------------- = ---------- [8, 7, 16] [7, 16] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 17] [10, 2, 17] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 16] [12, 1, 16] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 15] [14, 0, 15] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 15] [12, 4, 15] -------------- = ----------- [8, 8, 6] [8, 6] [1, 2, 8, 2, 9] [1, 2, 2, 9] --------------- = ------------ [8, 8, 6] [8, 6] [1, 10, 8, 0, 3] [1, 10, 0, 3] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [9, 6, 9] [1, 9, 0, 14] [1, 0, 14] ------------- = ---------- [9, 6, 9] [6, 9] denominator=, [9, 7, 0] [1, 9, 2, 4] [1, 2, 4] ------------ = --------- [9, 7, 0] [7, 0] denominator=, [9, 7, 9] [1, 9, 3, 12] [1, 3, 12] ------------- = ---------- [9, 7, 9] [7, 9] denominator=, [9, 8, 0] [1, 9, 5, 2] [1, 5, 2] ------------ = --------- [9, 8, 0] [8, 0] [2, 9, 2, 4] [2, 2, 4] ------------ = --------- [9, 8, 0] [8, 0] denominator=, [9, 8, 3] [3, 9, 0, 8] [3, 0, 8] ------------ = --------- [9, 8, 3] [8, 3] denominator=, [9, 8, 6] [3, 9, 1, 10] [3, 1, 10] ------------- = ---------- [9, 8, 6] [8, 6] denominator=, [9, 8, 9] [1, 9, 6, 10] [1, 6, 10] ------------- = ---------- [9, 8, 9] [8, 9] [2, 9, 4, 11] [2, 4, 11] ------------- = ---------- [9, 8, 9] [8, 9] [3, 9, 2, 12] [3, 2, 12] ------------- = ---------- [9, 8, 9] [8, 9] [4, 9, 0, 13] [4, 0, 13] ------------- = ---------- [9, 8, 9] [8, 9] denominator=, [9, 8, 12] [3, 9, 3, 14] [3, 3, 14] ------------- = ---------- [9, 8, 12] [8, 12] denominator=, [9, 8, 15] [3, 9, 4, 16] [3, 4, 16] ------------- = ---------- [9, 8, 15] [8, 15] [6, 9, 0, 17] [6, 0, 17] ------------- = ---------- [9, 8, 15] [8, 15] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 17] [12, 0, 17] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 16] [12, 4, 16] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 14] [15, 3, 14] -------------- = ----------- [9, 9, 6] [9, 6] [1, 3, 9, 1, 10] [1, 3, 1, 10] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 6, 9, 0, 8] [1, 6, 0, 8] --------------- = ------------ [9, 9, 6] [9, 6] denominator=, [10, 6, 12] [1, 10, 0, 0] [1, 0, 0] ------------- = --------- [10, 6, 12] [6, 12] denominator=, [10, 7, 4] [1, 10, 1, 9] [1, 1, 9] ------------- = --------- [10, 7, 4] [7, 4] denominator=, [10, 7, 14] [1, 10, 3, 0] [1, 3, 0] ------------- = --------- [10, 7, 14] [7, 14] denominator=, [10, 8, 6] [1, 10, 4, 9] [1, 4, 9] ------------- = --------- [10, 8, 6] [8, 6] [2, 10, 0, 12] [2, 0, 12] -------------- = ---------- [10, 8, 6] [8, 6] denominator=, [10, 8, 11] [2, 10, 1, 16] [2, 1, 16] -------------- = ---------- [10, 8, 11] [8, 11] denominator=, [10, 8, 16] [1, 10, 6, 0] [1, 6, 0] ------------- = --------- [10, 8, 16] [8, 16] [2, 10, 3, 2] [2, 3, 2] ------------- = --------- [10, 8, 16] [8, 16] [3, 10, 0, 4] [3, 0, 4] ------------- = --------- [10, 8, 16] [8, 16] denominator=, [10, 9, 3] [2, 10, 4, 6] [2, 4, 6] ------------- = --------- [10, 9, 3] [9, 3] denominator=, [10, 9, 8] [1, 10, 7, 9] [1, 7, 9] ------------- = --------- [10, 9, 8] [9, 8] [2, 10, 5, 10] [2, 5, 10] -------------- = ---------- [10, 9, 8] [9, 8] [3, 10, 3, 11] [3, 3, 11] -------------- = ---------- [10, 9, 8] [9, 8] [4, 10, 1, 12] [4, 1, 12] -------------- = ---------- [10, 9, 8] [9, 8] denominator=, [10, 9, 10] [5, 10, 0, 14] [5, 0, 14] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 9, 12] [5, 10, 1, 15] [5, 1, 15] -------------- = ---------- [10, 9, 12] [9, 12] denominator=, [10, 9, 13] [2, 10, 6, 14] [2, 6, 14] -------------- = ---------- [10, 9, 13] [9, 13] [4, 10, 3, 15] [4, 3, 15] -------------- = ---------- [10, 9, 13] [9, 13] [6, 10, 0, 16] [6, 0, 16] -------------- = ---------- [10, 9, 13] [9, 13] denominator=, [10, 9, 14] [5, 10, 2, 16] [5, 2, 16] -------------- = ---------- [10, 9, 14] [9, 14] denominator=, [10, 9, 16] [5, 10, 3, 17] [5, 3, 17] -------------- = ---------- [10, 9, 16] [9, 16] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [15, 10, 0, 16] [15, 0, 16] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 17] [12, 3, 17] --------------- = ----------- [10, 10, 5] [10, 5] [14, 10, 2, 16] [14, 2, 16] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 15] [16, 1, 15] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 0, 14] [1, 0, 0, 14] ----------------- = ------------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [15, 10, 3, 15] [15, 3, 15] --------------- = ----------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [15, 10, 6, 14] [15, 6, 14] --------------- = ----------- [10, 10, 8] [10, 8] [1, 7, 10, 4, 6] [1, 7, 4, 6] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 17, 10, 1, 16] [1, 17, 1, 16] ------------------ = -------------- [10, 10, 8] [10, 8] denominator=, [11, 7, 6] [1, 11, 0, 12] [1, 0, 12] -------------- = ---------- [11, 7, 6] [7, 6] denominator=, [11, 7, 17] [1, 11, 2, 4] [1, 2, 4] ------------- = --------- [11, 7, 17] [7, 17] denominator=, [11, 8, 10] [1, 11, 3, 14] [1, 3, 14] -------------- = ---------- [11, 8, 10] [8, 10] denominator=, [11, 9, 3] [1, 11, 5, 6] [1, 5, 6] ------------- = --------- [11, 9, 3] [9, 3] [2, 11, 1, 9] [2, 1, 9] ------------- = --------- [11, 9, 3] [9, 3] denominator=, [11, 9, 14] [1, 11, 6, 16] [1, 6, 16] -------------- = ---------- [11, 9, 14] [9, 14] [2, 11, 4, 0] [2, 4, 0] ------------- = --------- [11, 9, 14] [9, 14] [3, 11, 1, 2] [3, 1, 2] ------------- = --------- [11, 9, 14] [9, 14] denominator=, [11, 10, 7] [1, 11, 8, 8] [1, 8, 8] ------------- = --------- [11, 10, 7] [10, 7] [2, 11, 6, 9] [2, 6, 9] ------------- = --------- [11, 10, 7] [10, 7] [3, 11, 4, 10] [3, 4, 10] -------------- = ---------- [11, 10, 7] [10, 7] [4, 11, 2, 11] [4, 2, 11] -------------- = ---------- [11, 10, 7] [10, 7] [5, 11, 0, 12] [5, 0, 12] -------------- = ---------- [11, 10, 7] [10, 7] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 8, 0] [1, 12, 1, 6] [1, 1, 6] ------------- = --------- [12, 8, 0] [8, 0] denominator=, [12, 8, 12] [1, 12, 2, 17] [1, 2, 17] -------------- = ---------- [12, 8, 12] [8, 12] denominator=, [12, 9, 6] [1, 12, 4, 10] [1, 4, 10] -------------- = ---------- [12, 9, 6] [9, 6] denominator=, [12, 9, 12] [2, 12, 1, 1] [2, 1, 1] ------------- = --------- [12, 9, 12] [9, 12] denominator=, [12, 10, 0] [1, 12, 6, 3] [1, 6, 3] ------------- = --------- [12, 10, 0] [10, 0] [2, 12, 2, 6] [2, 2, 6] ------------- = --------- [12, 10, 0] [10, 0] denominator=, [12, 10, 6] [2, 12, 3, 11] [2, 3, 11] -------------- = ---------- [12, 10, 6] [10, 6] denominator=, [12, 10, 8] [3, 12, 0, 15] [3, 0, 15] -------------- = ---------- [12, 10, 8] [10, 8] denominator=, [12, 10, 12] [1, 12, 7, 14] [1, 7, 14] -------------- = ---------- [12, 10, 12] [10, 12] [2, 12, 4, 16] [2, 4, 16] -------------- = ---------- [12, 10, 12] [10, 12] [3, 12, 2, 0] [3, 2, 0] ------------- = --------- [12, 10, 12] [10, 12] denominator=, [12, 10, 15] [4, 12, 0, 4] [4, 0, 4] ------------- = --------- [12, 10, 15] [10, 15] denominator=, [12, 10, 16] [3, 12, 3, 3] [3, 3, 3] ------------- = --------- [12, 10, 16] [10, 16] denominator=, [12, 11, 0] [2, 12, 6, 3] [2, 6, 3] ------------- = --------- [12, 11, 0] [11, 0] [4, 12, 1, 6] [4, 1, 6] ------------- = --------- [12, 11, 0] [11, 0] denominator=, [12, 11, 2] [3, 12, 4, 6] [3, 4, 6] ------------- = --------- [12, 11, 2] [11, 2] denominator=, [12, 11, 3] [4, 12, 2, 8] [4, 2, 8] ------------- = --------- [12, 11, 3] [11, 3] denominator=, [12, 11, 6] [1, 12, 9, 7] [1, 9, 7] ------------- = --------- [12, 11, 6] [11, 6] [2, 12, 7, 8] [2, 7, 8] ------------- = --------- [12, 11, 6] [11, 6] [3, 12, 5, 9] [3, 5, 9] ------------- = --------- [12, 11, 6] [11, 6] [4, 12, 3, 10] [4, 3, 10] -------------- = ---------- [12, 11, 6] [11, 6] [5, 12, 1, 11] [5, 1, 11] -------------- = ---------- [12, 11, 6] [11, 6] denominator=, [12, 11, 8] [6, 12, 0, 13] [6, 0, 13] -------------- = ---------- [12, 11, 8] [11, 8] denominator=, [12, 11, 9] [4, 12, 4, 12] [4, 4, 12] -------------- = ---------- [12, 11, 9] [11, 9] denominator=, [12, 11, 10] [3, 12, 6, 12] [3, 6, 12] -------------- = ---------- [12, 11, 10] [11, 10] [6, 12, 1, 14] [6, 1, 14] -------------- = ---------- [12, 11, 10] [11, 10] denominator=, [12, 11, 12] [2, 12, 8, 13] [2, 8, 13] -------------- = ---------- [12, 11, 12] [11, 12] [4, 12, 5, 14] [4, 5, 14] -------------- = ---------- [12, 11, 12] [11, 12] [6, 12, 2, 15] [6, 2, 15] -------------- = ---------- [12, 11, 12] [11, 12] denominator=, [12, 11, 14] [3, 12, 7, 15] [3, 7, 15] -------------- = ---------- [12, 11, 14] [11, 14] [6, 12, 3, 16] [6, 3, 16] -------------- = ---------- [12, 11, 14] [11, 14] denominator=, [12, 11, 15] [4, 12, 6, 16] [4, 6, 16] -------------- = ---------- [12, 11, 15] [11, 15] [8, 12, 1, 17] [8, 1, 17] -------------- = ---------- [12, 11, 15] [11, 15] denominator=, [12, 11, 16] [6, 12, 4, 17] [6, 4, 17] -------------- = ---------- [12, 11, 16] [11, 16] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [15, 12, 1, 17] [15, 1, 17] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 17] [14, 4, 17] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 16] [16, 3, 16] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 2, 15] [1, 0, 2, 15] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 1, 14] [1, 2, 1, 14] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 4, 12, 0, 13] [1, 4, 0, 13] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [15, 12, 6, 16] [15, 6, 16] --------------- = ----------- [12, 12, 8] [12, 8] [1, 0, 12, 5, 14] [1, 0, 5, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 3, 12, 4, 12] [1, 3, 4, 12] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 9, 12, 2, 8] [1, 9, 2, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 12, 12, 1, 6] [1, 12, 1, 6] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 15, 12, 0, 4] [1, 15, 0, 4] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 15] [16, 7, 15] --------------- = ----------- [12, 12, 9] [12, 9] [1, 2, 12, 6, 12] [1, 2, 6, 12] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 10, 12, 4, 6] [1, 10, 4, 6] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 14, 12, 3, 3] [1, 14, 3, 3] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 4, 12, 0, 15] [2, 4, 0, 15] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [1, 0, 12, 8, 13] [1, 0, 8, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 12, 12, 6, 3] [1, 12, 6, 3] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 6, 12, 3, 11] [2, 6, 3, 11] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 0, 12, 1, 1] [3, 0, 1, 1] ---------------- = ------------ [12, 12, 10] [12, 10] denominator=, [13, 7, 17] [1, 13, 0, 6] [1, 0, 6] ------------- = --------- [13, 7, 17] [7, 17] denominator=, [13, 8, 12] [1, 13, 2, 0] [1, 2, 0] ------------- = --------- [13, 8, 12] [8, 12] denominator=, [13, 9, 7] [1, 13, 3, 12] [1, 3, 12] -------------- = ---------- [13, 9, 7] [9, 7] denominator=, [13, 10, 2] [1, 13, 5, 6] [1, 5, 6] ------------- = --------- [13, 10, 2] [10, 2] [2, 13, 0, 10] [2, 0, 10] -------------- = ---------- [13, 10, 2] [10, 2] denominator=, [13, 10, 15] [1, 13, 7, 0] [1, 7, 0] ------------- = --------- [13, 10, 15] [10, 15] [2, 13, 3, 3] [2, 3, 3] ------------- = --------- [13, 10, 15] [10, 15] denominator=, [13, 11, 10] [1, 13, 8, 12] [1, 8, 12] -------------- = ---------- [13, 11, 10] [11, 10] [2, 13, 5, 14] [2, 5, 14] -------------- = ---------- [13, 11, 10] [11, 10] [3, 13, 2, 16] [3, 2, 16] -------------- = ---------- [13, 11, 10] [11, 10] [4, 13, 0, 0] [4, 0, 0] ------------- = --------- [13, 11, 10] [11, 10] denominator=, [13, 12, 5] [1, 13, 10, 6] [1, 10, 6] -------------- = ---------- [13, 12, 5] [12, 5] [2, 13, 8, 7] [2, 8, 7] ------------- = --------- [13, 12, 5] [12, 5] [3, 13, 6, 8] [3, 6, 8] ------------- = --------- [13, 12, 5] [12, 5] [4, 13, 4, 9] [4, 4, 9] ------------- = --------- [13, 12, 5] [12, 5] [5, 13, 2, 10] [5, 2, 10] -------------- = ---------- [13, 12, 5] [12, 5] [6, 13, 0, 11] [6, 0, 11] -------------- = ---------- [13, 12, 5] [12, 5] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [14, 8, 10] [1, 14, 0, 17] [1, 0, 17] -------------- = ---------- [14, 8, 10] [8, 10] denominator=, [14, 9, 6] [1, 14, 2, 12] [1, 2, 12] -------------- = ---------- [14, 9, 6] [9, 6] denominator=, [14, 10, 2] [1, 14, 4, 7] [1, 4, 7] ------------- = --------- [14, 10, 2] [10, 2] denominator=, [14, 10, 9] [2, 14, 0, 0] [2, 0, 0] ------------- = --------- [14, 10, 9] [10, 9] denominator=, [14, 10, 16] [1, 14, 6, 2] [1, 6, 2] ------------- = --------- [14, 10, 16] [10, 16] [2, 14, 1, 6] [2, 1, 6] ------------- = --------- [14, 10, 16] [10, 16] denominator=, [14, 11, 5] [2, 14, 2, 12] [2, 2, 12] -------------- = ---------- [14, 11, 5] [11, 5] denominator=, [14, 11, 12] [1, 14, 7, 15] [1, 7, 15] -------------- = ---------- [14, 11, 12] [11, 12] [2, 14, 4, 0] [2, 4, 0] ------------- = --------- [14, 11, 12] [11, 12] [3, 14, 0, 3] [3, 0, 3] ------------- = --------- [14, 11, 12] [11, 12] denominator=, [14, 12, 1] [2, 14, 5, 6] [2, 5, 6] ------------- = --------- [14, 12, 1] [12, 1] denominator=, [14, 12, 8] [1, 14, 9, 10] [1, 9, 10] -------------- = ---------- [14, 12, 8] [12, 8] [2, 14, 6, 12] [2, 6, 12] -------------- = ---------- [14, 12, 8] [12, 8] [3, 14, 3, 14] [3, 3, 14] -------------- = ---------- [14, 12, 8] [12, 8] [4, 14, 0, 16] [4, 0, 16] -------------- = ---------- [14, 12, 8] [12, 8] denominator=, [14, 12, 15] [2, 14, 8, 0] [2, 8, 0] ------------- = --------- [14, 12, 15] [12, 15] [4, 14, 3, 3] [4, 3, 3] ------------- = --------- [14, 12, 15] [12, 15] denominator=, [14, 13, 4] [1, 14, 11, 5] [1, 11, 5] -------------- = ---------- [14, 13, 4] [13, 4] [2, 14, 9, 6] [2, 9, 6] ------------- = --------- [14, 13, 4] [13, 4] [3, 14, 7, 7] [3, 7, 7] ------------- = --------- [14, 13, 4] [13, 4] [4, 14, 5, 8] [4, 5, 8] ------------- = --------- [14, 13, 4] [13, 4] [5, 14, 3, 9] [5, 3, 9] ------------- = --------- [14, 13, 4] [13, 4] [6, 14, 1, 10] [6, 1, 10] -------------- = ---------- [14, 13, 4] [13, 4] denominator=, [14, 13, 6] [7, 14, 0, 12] [7, 0, 12] -------------- = ---------- [14, 13, 6] [13, 6] denominator=, [14, 13, 8] [7, 14, 1, 13] [7, 1, 13] -------------- = ---------- [14, 13, 8] [13, 8] denominator=, [14, 13, 10] [7, 14, 2, 14] [7, 2, 14] -------------- = ---------- [14, 13, 10] [13, 10] denominator=, [14, 13, 11] [2, 14, 10, 12] [2, 10, 12] --------------- = ----------- [14, 13, 11] [13, 11] [4, 14, 7, 13] [4, 7, 13] -------------- = ---------- [14, 13, 11] [13, 11] [6, 14, 4, 14] [6, 4, 14] -------------- = ---------- [14, 13, 11] [13, 11] [8, 14, 1, 15] [8, 1, 15] -------------- = ---------- [14, 13, 11] [13, 11] denominator=, [14, 13, 12] [7, 14, 3, 15] [7, 3, 15] -------------- = ---------- [14, 13, 12] [13, 12] denominator=, [14, 13, 14] [7, 14, 4, 16] [7, 4, 16] -------------- = ---------- [14, 13, 14] [13, 14] denominator=, [14, 13, 16] [7, 14, 5, 17] [7, 5, 17] -------------- = ---------- [14, 13, 16] [13, 16] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 3, 14, 1, 15] [1, 3, 1, 15] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 17] [16, 5, 17] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 4, 16] [1, 0, 4, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 3, 15] [1, 2, 3, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 2, 14] [1, 4, 2, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 1, 13] [1, 6, 1, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 0, 12] [1, 8, 0, 12] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 3, 14, 4, 14] [1, 3, 4, 14] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 3, 14, 7, 13] [1, 3, 7, 13] ----------------- = ------------- [14, 14, 10] [14, 10] [1, 17, 14, 3, 3] [1, 17, 3, 3] ----------------- = ------------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 3, 14, 10, 12] [1, 3, 10, 12] ------------------ = -------------- [14, 14, 12] [14, 12] [1, 17, 14, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [14, 14, 12] [14, 12] [2, 13, 14, 5, 6] [2, 13, 5, 6] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 9, 14, 2, 12] [3, 9, 2, 12] ----------------- = ------------- [14, 14, 12] [14, 12] [4, 5, 14, 0, 0] [4, 5, 0, 0] ---------------- = ------------ [14, 14, 12] [14, 12] denominator=, [15, 9, 3] [1, 15, 1, 10] [1, 1, 10] -------------- = ---------- [15, 9, 3] [9, 3] denominator=, [15, 10, 0] [1, 15, 3, 6] [1, 3, 6] ------------- = --------- [15, 10, 0] [10, 0] denominator=, [15, 10, 15] [1, 15, 5, 2] [1, 5, 2] ------------- = --------- [15, 10, 15] [10, 15] denominator=, [15, 11, 12] [1, 15, 6, 16] [1, 6, 16] -------------- = ---------- [15, 11, 12] [11, 12] [2, 15, 2, 2] [2, 2, 2] ------------- = --------- [15, 11, 12] [11, 12] denominator=, [15, 12, 9] [1, 15, 8, 12] [1, 8, 12] -------------- = ---------- [15, 12, 9] [12, 9] [2, 15, 4, 15] [2, 4, 15] -------------- = ---------- [15, 12, 9] [12, 9] [3, 15, 1, 0] [3, 1, 0] ------------- = --------- [15, 12, 9] [12, 9] denominator=, [15, 12, 14] [3, 15, 2, 4] [3, 2, 4] ------------- = --------- [15, 12, 14] [12, 14] denominator=, [15, 13, 1] [3, 15, 3, 8] [3, 3, 8] ------------- = --------- [15, 13, 1] [13, 1] denominator=, [15, 13, 6] [1, 15, 10, 8] [1, 10, 8] -------------- = ---------- [15, 13, 6] [13, 6] [2, 15, 7, 10] [2, 7, 10] -------------- = ---------- [15, 13, 6] [13, 6] [3, 15, 4, 12] [3, 4, 12] -------------- = ---------- [15, 13, 6] [13, 6] [4, 15, 1, 14] [4, 1, 14] -------------- = ---------- [15, 13, 6] [13, 6] denominator=, [15, 13, 9] [5, 15, 0, 0] [5, 0, 0] ------------- = --------- [15, 13, 9] [13, 9] denominator=, [15, 13, 11] [3, 15, 5, 16] [3, 5, 16] -------------- = ---------- [15, 13, 11] [13, 11] denominator=, [15, 13, 12] [5, 15, 1, 2] [5, 1, 2] ------------- = --------- [15, 13, 12] [13, 12] denominator=, [15, 13, 15] [5, 15, 2, 4] [5, 2, 4] ------------- = --------- [15, 13, 15] [13, 15] denominator=, [15, 13, 16] [3, 15, 7, 2] [3, 7, 2] ------------- = --------- [15, 13, 16] [13, 16] [6, 15, 0, 6] [6, 0, 6] ------------- = --------- [15, 13, 16] [13, 16] denominator=, [15, 14, 0] [5, 15, 3, 6] [5, 3, 6] ------------- = --------- [15, 14, 0] [14, 0] denominator=, [15, 14, 3] [1, 15, 12, 4] [1, 12, 4] -------------- = ---------- [15, 14, 3] [14, 3] [2, 15, 10, 5] [2, 10, 5] -------------- = ---------- [15, 14, 3] [14, 3] [3, 15, 8, 6] [3, 8, 6] ------------- = --------- [15, 14, 3] [14, 3] [4, 15, 6, 7] [4, 6, 7] ------------- = --------- [15, 14, 3] [14, 3] [5, 15, 4, 8] [5, 4, 8] ------------- = --------- [15, 14, 3] [14, 3] [6, 15, 2, 9] [6, 2, 9] ------------- = --------- [15, 14, 3] [14, 3] [7, 15, 0, 10] [7, 0, 10] -------------- = ---------- [15, 14, 3] [14, 3] denominator=, [15, 14, 6] [5, 15, 5, 10] [5, 5, 10] -------------- = ---------- [15, 14, 6] [14, 6] denominator=, [15, 14, 8] [3, 15, 9, 10] [3, 9, 10] -------------- = ---------- [15, 14, 8] [14, 8] [6, 15, 4, 12] [6, 4, 12] -------------- = ---------- [15, 14, 8] [14, 8] denominator=, [15, 14, 9] [5, 15, 6, 12] [5, 6, 12] -------------- = ---------- [15, 14, 9] [14, 9] denominator=, [15, 14, 12] [5, 15, 7, 14] [5, 7, 14] -------------- = ---------- [15, 14, 12] [14, 12] [10, 15, 0, 16] [10, 0, 16] --------------- = ----------- [15, 14, 12] [14, 12] denominator=, [15, 14, 13] [3, 15, 10, 14] [3, 10, 14] --------------- = ----------- [15, 14, 13] [14, 13] [6, 15, 6, 15] [6, 6, 15] -------------- = ---------- [15, 14, 13] [14, 13] [9, 15, 2, 16] [9, 2, 16] -------------- = ---------- [15, 14, 13] [14, 13] denominator=, [15, 14, 15] [5, 15, 8, 16] [5, 8, 16] -------------- = ---------- [15, 14, 15] [14, 15] [10, 15, 2, 17] [10, 2, 17] --------------- = ----------- [15, 14, 15] [14, 15] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [1, 0, 15, 2, 17] [1, 0, 2, 17] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 3, 15, 0, 16] [1, 3, 0, 16] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 2, 15, 2, 16] [1, 2, 2, 16] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 2, 15, 6, 15] [1, 2, 6, 15] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 7, 15, 4, 12] [1, 7, 4, 12] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 17, 15, 0, 6] [1, 17, 0, 6] ----------------- = ------------- [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [1, 0, 15, 8, 16] [1, 0, 8, 16] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 3, 15, 7, 14] [1, 3, 7, 14] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 6, 15, 6, 12] [1, 6, 6, 12] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 9, 15, 5, 10] [1, 9, 5, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 15, 15, 3, 6] [1, 15, 3, 6] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 0, 15, 2, 4] [2, 0, 2, 4] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 3, 15, 1, 2] [2, 3, 1, 2] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 6, 15, 0, 0] [2, 6, 0, 0] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 2, 15, 10, 14] [1, 2, 10, 14] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 7, 15, 9, 10] [1, 7, 9, 10] ----------------- = ------------- [15, 15, 12] [15, 12] [1, 17, 15, 7, 2] [1, 17, 7, 2] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 4, 15, 5, 16] [2, 4, 5, 16] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 14, 15, 3, 8] [2, 14, 3, 8] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 1, 15, 2, 4] [3, 1, 2, 4] ---------------- = ------------ [15, 15, 12] [15, 12] denominator=, [16, 8, 16] [1, 16, 0, 6] [1, 0, 6] ------------- = --------- [16, 8, 16] [8, 16] denominator=, [16, 9, 14] [1, 16, 2, 3] [1, 2, 3] ------------- = --------- [16, 9, 14] [9, 14] denominator=, [16, 10, 12] [1, 16, 4, 0] [1, 4, 0] ------------- = --------- [16, 10, 12] [10, 12] denominator=, [16, 11, 10] [1, 16, 5, 15] [1, 5, 15] -------------- = ---------- [16, 11, 10] [11, 10] [2, 16, 0, 2] [2, 0, 2] ------------- = --------- [16, 11, 10] [11, 10] denominator=, [16, 12, 0] [2, 16, 1, 9] [2, 1, 9] ------------- = --------- [16, 12, 0] [12, 0] denominator=, [16, 12, 8] [1, 16, 7, 12] [1, 7, 12] -------------- = ---------- [16, 12, 8] [12, 8] [2, 16, 2, 16] [2, 2, 16] -------------- = ---------- [16, 12, 8] [12, 8] denominator=, [16, 12, 16] [2, 16, 4, 5] [2, 4, 5] ------------- = --------- [16, 12, 16] [12, 16] denominator=, [16, 13, 6] [1, 16, 9, 9] [1, 9, 9] ------------- = --------- [16, 13, 6] [13, 6] [2, 16, 5, 12] [2, 5, 12] -------------- = ---------- [16, 13, 6] [13, 6] [3, 16, 1, 15] [3, 1, 15] -------------- = ---------- [16, 13, 6] [13, 6] denominator=, [16, 13, 14] [2, 16, 7, 1] [2, 7, 1] ------------- = --------- [16, 13, 14] [13, 14] [4, 16, 0, 6] [4, 0, 6] ------------- = --------- [16, 13, 14] [13, 14] denominator=, [16, 14, 0] [4, 16, 1, 9] [4, 1, 9] ------------- = --------- [16, 14, 0] [14, 0] denominator=, [16, 14, 4] [1, 16, 11, 6] [1, 11, 6] -------------- = ---------- [16, 14, 4] [14, 4] [2, 16, 8, 8] [2, 8, 8] ------------- = --------- [16, 14, 4] [14, 4] [3, 16, 5, 10] [3, 5, 10] -------------- = ---------- [16, 14, 4] [14, 4] [4, 16, 2, 12] [4, 2, 12] -------------- = ---------- [16, 14, 4] [14, 4] denominator=, [16, 14, 8] [4, 16, 3, 15] [4, 3, 15] -------------- = ---------- [16, 14, 8] [14, 8] denominator=, [16, 14, 12] [2, 16, 9, 15] [2, 9, 15] -------------- = ---------- [16, 14, 12] [14, 12] [4, 16, 5, 0] [4, 5, 0] ------------- = --------- [16, 14, 12] [14, 12] [6, 16, 0, 3] [6, 0, 3] ------------- = --------- [16, 14, 12] [14, 12] denominator=, [16, 14, 16] [4, 16, 6, 3] [4, 6, 3] ------------- = --------- [16, 14, 16] [14, 16] denominator=, [16, 15, 2] [1, 16, 13, 3] [1, 13, 3] -------------- = ---------- [16, 15, 2] [15, 2] [2, 16, 11, 4] [2, 11, 4] -------------- = ---------- [16, 15, 2] [15, 2] [3, 16, 9, 5] [3, 9, 5] ------------- = --------- [16, 15, 2] [15, 2] [4, 16, 7, 6] [4, 7, 6] ------------- = --------- [16, 15, 2] [15, 2] [5, 16, 5, 7] [5, 5, 7] ------------- = --------- [16, 15, 2] [15, 2] [6, 16, 3, 8] [6, 3, 8] ------------- = --------- [16, 15, 2] [15, 2] [7, 16, 1, 9] [7, 1, 9] ------------- = --------- [16, 15, 2] [15, 2] denominator=, [16, 15, 4] [8, 16, 0, 11] [8, 0, 11] -------------- = ---------- [16, 15, 4] [15, 4] denominator=, [16, 15, 6] [4, 16, 8, 9] [4, 8, 9] ------------- = --------- [16, 15, 6] [15, 6] [8, 16, 1, 12] [8, 1, 12] -------------- = ---------- [16, 15, 6] [15, 6] denominator=, [16, 15, 8] [8, 16, 2, 13] [8, 2, 13] -------------- = ---------- [16, 15, 8] [15, 8] denominator=, [16, 15, 10] [2, 16, 12, 11] [2, 12, 11] --------------- = ----------- [16, 15, 10] [15, 10] [4, 16, 9, 12] [4, 9, 12] -------------- = ---------- [16, 15, 10] [15, 10] [6, 16, 6, 13] [6, 6, 13] -------------- = ---------- [16, 15, 10] [15, 10] [8, 16, 3, 14] [8, 3, 14] -------------- = ---------- [16, 15, 10] [15, 10] [10, 16, 0, 15] [10, 0, 15] --------------- = ----------- [16, 15, 10] [15, 10] denominator=, [16, 15, 12] [8, 16, 4, 15] [8, 4, 15] -------------- = ---------- [16, 15, 12] [15, 12] denominator=, [16, 15, 14] [4, 16, 10, 15] [4, 10, 15] --------------- = ----------- [16, 15, 14] [15, 14] [8, 16, 5, 16] [8, 5, 16] -------------- = ---------- [16, 15, 14] [15, 14] [12, 16, 0, 17] [12, 0, 17] --------------- = ----------- [16, 15, 14] [15, 14] denominator=, [16, 15, 16] [8, 16, 6, 17] [8, 6, 17] -------------- = ---------- [16, 15, 16] [15, 16] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [8, 16, 9, 1] [8, 9, 1] ------------- = --------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [8, 16, 10, 2] [8, 10, 2] -------------- = ---------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [1, 2, 16, 0, 17] [1, 2, 0, 17] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [8, 16, 11, 3] [8, 11, 3] -------------- = ---------- [16, 16, 6] [16, 6] [1, 6, 16, 0, 15] [1, 6, 0, 15] ----------------- = ------------- [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [8, 16, 12, 4] [8, 12, 4] -------------- = ---------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [1, 0, 16, 6, 17] [1, 0, 6, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 5, 16] [1, 2, 5, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 4, 15] [1, 4, 4, 15] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 6, 16, 3, 14] [1, 6, 3, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 2, 13] [1, 8, 2, 13] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 1, 12] [1, 10, 1, 12] ------------------ = -------------- [16, 16, 8] [16, 8] [1, 12, 16, 0, 11] [1, 12, 0, 11] ------------------ = -------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [8, 16, 13, 5] [8, 13, 5] -------------- = ---------- [16, 16, 10] [16, 10] [1, 6, 16, 6, 13] [1, 6, 6, 13] ----------------- = ------------- [16, 16, 10] [16, 10] [2, 4, 16, 0, 3] [2, 4, 0, 3] ---------------- = ------------ [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [8, 16, 14, 6] [8, 14, 6] -------------- = ---------- [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [1, 2, 16, 10, 15] [1, 2, 10, 15] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 6, 16, 9, 12] [1, 6, 9, 12] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 10, 16, 8, 9] [1, 10, 8, 9] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 6, 3] [2, 0, 6, 3] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 4, 16, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 8, 16, 3, 15] [2, 8, 3, 15] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 16, 16, 1, 9] [2, 16, 1, 9] ----------------- = ------------- [16, 16, 12] [16, 12] [3, 2, 16, 0, 6] [3, 2, 0, 6] ---------------- = ------------ [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [8, 16, 15, 7] [8, 15, 7] -------------- = ---------- [16, 16, 14] [16, 14] [1, 6, 16, 12, 11] [1, 6, 12, 11] ------------------ = -------------- [16, 16, 14] [16, 14] [2, 4, 16, 9, 15] [2, 4, 9, 15] ----------------- = ------------- [16, 16, 14] [16, 14] [3, 2, 16, 7, 1] [3, 2, 7, 1] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 0, 16, 4, 5] [4, 0, 4, 5] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 16, 16, 1, 9] [4, 16, 1, 9] ----------------- = ------------- [16, 16, 14] [16, 14] ------------------------------------------------------------------------- This ends this book that took, 227.645, seconds to generate. ---------------------------------------------- Base , 19 Lots and Lots of Anomalous Cancellations in base, 19 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 19, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 19, with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [12, 8] [1, 12, 1] [1, 1] ---------- = ------ [12, 8] [8] denominator=, [12, 10] [1, 12, 6] [1, 6] ---------- = ------ [12, 10] [10] denominator=, [15, 10] [1, 15, 3] [1, 3] ---------- = ------ [15, 10] [10] denominator=, [16, 12] [2, 16, 1] [2, 1] ---------- = ------ [16, 12] [12] denominator=, [16, 14] [4, 16, 1] [4, 1] ---------- = ------ [16, 14] [14] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [12, 4, 3] [12, 3] ---------- = ------- [2, 4, 4] [2, 4] [1, 13, 4, 1] [1, 13, 1] ------------- = ---------- [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [13, 8, 6] [13, 6] ---------- = ------- [2, 8, 8] [2, 8] [1, 16, 8, 2] [1, 16, 2] ------------- = ---------- [2, 8, 8] [2, 8] denominator=, [2, 12, 12] [6, 12, 11] [6, 11] ----------- = ------- [2, 12, 12] [2, 12] [14, 12, 9] [14, 9] ----------- = ------- [2, 12, 12] [2, 12] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [2, 12, 12] [2, 12] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [2, 12, 12] [2, 12] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [2, 12, 12] [2, 12] [2, 8, 12, 1] [2, 8, 1] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 16, 16] [15, 16, 12] [15, 12] ------------ = -------- [2, 16, 16] [2, 16] [2, 3, 16, 4] [2, 3, 4] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 8] [14, 8, 7] [14, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [1, 15, 8, 5] [1, 15, 5] ------------- = ---------- [4, 8, 8] [4, 8] [2, 16, 8, 3] [2, 16, 3] ------------- = ---------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [3, 17, 8, 1] [3, 17, 1] ------------- = ---------- [4, 8, 8] [4, 8] denominator=, [4, 12, 12] [11, 12, 11] [11, 11] ------------ = -------- [4, 12, 12] [4, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 1, 12, 7] [2, 1, 7] ------------- = --------- [4, 12, 12] [4, 12] [2, 15, 12, 5] [2, 15, 5] -------------- = ---------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] [4, 5, 12, 1] [4, 5, 1] ------------- = --------- [4, 12, 12] [4, 12] denominator=, [4, 16, 16] [15, 16, 14] [15, 14] ------------ = -------- [4, 16, 16] [4, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [1, 18, 16, 10] [1, 18, 10] --------------- = ----------- [4, 16, 16] [4, 16] [3, 2, 16, 6] [3, 2, 6] ------------- = --------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] [4, 5, 16, 2] [4, 5, 2] ------------- = --------- [4, 16, 16] [4, 16] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 10] [15, 10, 9] [15, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 16, 10, 7] [1, 16, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [3, 18, 10, 3] [3, 18, 3] -------------- = ---------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 0, 10, 1] [5, 0, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 15, 15] [12, 15, 14] [12, 14] ------------ = -------- [5, 15, 15] [5, 15] [1, 0, 15, 13] [1, 0, 13] -------------- = ---------- [5, 15, 15] [5, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [1, 14, 15, 11] [1, 14, 11] --------------- = ----------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [2, 16, 15, 8] [2, 16, 8] -------------- = ---------- [5, 15, 15] [5, 15] [3, 4, 15, 7] [3, 4, 7] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 6, 15, 4] [4, 6, 4] ------------- = --------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] [5, 1, 15, 2] [5, 1, 2] ------------- = --------- [5, 15, 15] [5, 15] [5, 8, 15, 1] [5, 8, 1] ------------- = --------- [5, 15, 15] [5, 15] denominator=, [6, 4, 4] [1, 15, 4, 3] [1, 15, 3] ------------- = ---------- [6, 4, 4] [6, 4] [4, 14, 4, 1] [4, 14, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 8, 8] [1, 16, 8, 6] [1, 16, 6] ------------- = ---------- [6, 8, 8] [6, 8] [4, 17, 8, 2] [4, 17, 2] ------------- = ---------- [6, 8, 8] [6, 8] denominator=, [6, 12, 12] [16, 12, 11] [16, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 17, 12, 9] [1, 17, 9] -------------- = ---------- [6, 12, 12] [6, 12] [2, 18, 12, 7] [2, 18, 7] -------------- = ---------- [6, 12, 12] [6, 12] [4, 0, 12, 5] [4, 0, 5] ------------- = --------- [6, 12, 12] [6, 12] [5, 1, 12, 3] [5, 1, 3] ------------- = --------- [6, 12, 12] [6, 12] [6, 2, 12, 1] [6, 2, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 16, 16] [1, 18, 16, 12] [1, 18, 12] --------------- = ----------- [6, 16, 16] [6, 16] [5, 4, 16, 4] [5, 4, 4] ------------- = --------- [6, 16, 16] [6, 16] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 14] [17, 14, 13] [17, 13] ------------ = -------- [7, 14, 14] [7, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [1, 18, 14, 11] [1, 18, 11] --------------- = ----------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 0, 14, 9] [3, 0, 9] ------------- = --------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 2, 14, 5] [5, 2, 5] ------------- = --------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 3, 14, 3] [6, 3, 3] ------------- = --------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] [7, 4, 14, 1] [7, 4, 1] ------------- = --------- [7, 14, 14] [7, 14] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 12, 12] [1, 2, 12, 11] [1, 2, 11] -------------- = ---------- [8, 12, 12] [8, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [3, 16, 12, 7] [3, 16, 7] -------------- = ---------- [8, 12, 12] [8, 12] [5, 4, 12, 5] [5, 4, 5] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] [7, 18, 12, 1] [7, 18, 1] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 16, 16] [18, 16, 15] [18, 15] ------------ = -------- [8, 16, 16] [8, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 0, 16, 13] [2, 0, 13] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 1, 16, 11] [3, 1, 11] -------------- = ---------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 2, 16, 9] [4, 2, 9] ------------- = --------- [8, 16, 16] [8, 16] [5, 3, 16, 7] [5, 3, 7] ------------- = --------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 4, 16, 5] [6, 4, 5] ------------- = --------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 5, 16, 3] [7, 5, 3] ------------- = --------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] [8, 6, 16, 1] [8, 6, 1] ------------- = --------- [8, 16, 16] [8, 16] denominator=, [10, 4, 4] [2, 18, 4, 3] [2, 18, 3] ------------- = ---------- [10, 4, 4] [10, 4] [7, 15, 4, 1] [7, 15, 1] ------------- = ---------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [3, 0, 8, 6] [3, 0, 6] ------------ = --------- [10, 8, 8] [10, 8] [7, 18, 8, 2] [7, 18, 2] ------------- = ---------- [10, 8, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 12] [1, 7, 12, 11] [1, 7, 11] -------------- = ---------- [10, 12, 12] [10, 12] [3, 1, 12, 9] [3, 1, 9] ------------- = --------- [10, 12, 12] [10, 12] [4, 14, 12, 7] [4, 14, 7] -------------- = ---------- [10, 12, 12] [10, 12] [6, 8, 12, 5] [6, 8, 5] ------------- = --------- [10, 12, 12] [10, 12] [8, 2, 12, 3] [8, 2, 3] ------------- = --------- [10, 12, 12] [10, 12] [9, 15, 12, 1] [9, 15, 1] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 15, 15] [1, 4, 15, 14] [1, 4, 14] -------------- = ---------- [10, 15, 15] [10, 15] [1, 17, 15, 13] [1, 17, 13] --------------- = ----------- [10, 15, 15] [10, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [3, 5, 15, 11] [3, 5, 11] -------------- = ---------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [5, 6, 15, 8] [5, 6, 8] ------------- = --------- [10, 15, 15] [10, 15] [6, 0, 15, 7] [6, 0, 7] ------------- = --------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 1, 15, 4] [8, 1, 4] ------------- = --------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] [9, 8, 15, 2] [9, 8, 2] ------------- = --------- [10, 15, 15] [10, 15] [10, 2, 15, 1] [10, 2, 1] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 16] [3, 2, 16, 12] [3, 2, 12] -------------- = ---------- [10, 16, 16] [10, 16] [8, 5, 16, 4] [8, 5, 4] ------------- = --------- [10, 16, 16] [10, 16] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 8, 8] [2, 2, 8, 7] [2, 2, 7] ------------ = --------- [12, 8, 8] [12, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [5, 1, 8, 5] [5, 1, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 0, 8, 3] [8, 0, 3] ------------ = --------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] [10, 18, 8, 1] [10, 18, 1] -------------- = ----------- [12, 8, 8] [12, 8] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 16, 16] [2, 3, 16, 14] [2, 3, 14] -------------- = ---------- [12, 16, 16] [12, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [5, 4, 16, 10] [5, 4, 10] -------------- = ---------- [12, 16, 16] [12, 16] [8, 5, 16, 6] [8, 5, 6] ------------- = --------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] [11, 6, 16, 2] [11, 6, 2] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 4, 4] [4, 2, 4, 3] [4, 2, 3] ------------ = --------- [14, 4, 4] [14, 4] [10, 16, 4, 1] [10, 16, 1] -------------- = ----------- [14, 4, 4] [14, 4] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [4, 3, 8, 6] [4, 3, 6] ------------ = --------- [14, 8, 8] [14, 8] [11, 0, 8, 2] [11, 0, 2] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 12, 12] [1, 17, 12, 11] [1, 17, 11] --------------- = ----------- [14, 12, 12] [14, 12] [4, 4, 12, 9] [4, 4, 9] ------------- = --------- [14, 12, 12] [14, 12] [6, 10, 12, 7] [6, 10, 7] -------------- = ---------- [14, 12, 12] [14, 12] [8, 16, 12, 5] [8, 16, 5] -------------- = ---------- [14, 12, 12] [14, 12] [11, 3, 12, 3] [11, 3, 3] -------------- = ---------- [14, 12, 12] [14, 12] [13, 9, 12, 1] [13, 9, 1] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 16] [4, 5, 16, 12] [4, 5, 12] -------------- = ---------- [14, 16, 16] [14, 16] [11, 6, 16, 4] [11, 6, 4] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 10, 10] [2, 5, 10, 9] [2, 5, 9] ------------- = --------- [15, 10, 10] [15, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [5, 4, 10, 7] [5, 4, 7] ------------- = --------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [11, 2, 10, 3] [11, 2, 3] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] [14, 1, 10, 1] [14, 1, 1] -------------- = ---------- [15, 10, 10] [15, 10] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 12, 12] [2, 3, 12, 11] [2, 3, 11] -------------- = ---------- [16, 12, 12] [16, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [7, 8, 12, 7] [7, 8, 7] ------------- = --------- [16, 12, 12] [16, 12] [10, 1, 12, 5] [10, 1, 5] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] [15, 6, 12, 1] [15, 6, 1] -------------- = ---------- [16, 12, 12] [16, 12] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [18, 4, 4] [5, 5, 4, 3] [5, 5, 3] ------------ = --------- [18, 4, 4] [18, 4] [13, 17, 4, 1] [13, 17, 1] -------------- = ----------- [18, 4, 4] [18, 4] denominator=, [18, 8, 8] [5, 6, 8, 6] [5, 6, 6] ------------ = --------- [18, 8, 8] [18, 8] [14, 1, 8, 2] [14, 1, 2] ------------- = ---------- [18, 8, 8] [18, 8] denominator=, [18, 12, 12] [2, 8, 12, 11] [2, 8, 11] -------------- = ---------- [18, 12, 12] [18, 12] [5, 7, 12, 9] [5, 7, 9] ------------- = --------- [18, 12, 12] [18, 12] [8, 6, 12, 7] [8, 6, 7] ------------- = --------- [18, 12, 12] [18, 12] [11, 5, 12, 5] [11, 5, 5] -------------- = ---------- [18, 12, 12] [18, 12] [14, 4, 12, 3] [14, 4, 3] -------------- = ---------- [18, 12, 12] [18, 12] [17, 3, 12, 1] [17, 3, 1] -------------- = ---------- [18, 12, 12] [18, 12] denominator=, [18, 16, 16] [5, 8, 16, 12] [5, 8, 12] -------------- = ---------- [18, 16, 16] [18, 16] [14, 7, 16, 4] [14, 7, 4] -------------- = ---------- [18, 16, 16] [18, 16] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [2, 4, 4] [12, 4, 3, 0] [12, 3, 0] ------------- = ---------- [2, 4, 4] [2, 4] [1, 13, 4, 1, 0] [1, 13, 1, 0] ---------------- = ------------- [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [13, 8, 6, 0] [13, 6, 0] ------------- = ---------- [2, 8, 8] [2, 8] [1, 16, 8, 2, 0] [1, 16, 2, 0] ---------------- = ------------- [2, 8, 8] [2, 8] denominator=, [2, 12, 12] [6, 12, 11, 0] [6, 11, 0] -------------- = ---------- [2, 12, 12] [2, 12] [14, 12, 9, 0] [14, 9, 0] -------------- = ---------- [2, 12, 12] [2, 12] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [2, 8, 12, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [2, 12, 12] [2, 12] denominator=, [2, 16, 16] [15, 16, 12, 0] [15, 12, 0] --------------- = ----------- [2, 16, 16] [2, 16] [2, 3, 16, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [2, 16, 16] [2, 16] denominator=, [4, 8, 8] [14, 8, 7, 0] [14, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [1, 15, 8, 5, 0] [1, 15, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [2, 16, 8, 3, 0] [2, 16, 3, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 17, 8, 1, 0] [3, 17, 1, 0] ---------------- = ------------- [4, 8, 8] [4, 8] denominator=, [4, 12, 12] [11, 12, 11, 0] [11, 11, 0] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 1, 12, 7, 0] [2, 1, 7, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 15, 12, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 5, 12, 1, 0] [4, 5, 1, 0] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 16, 16] [15, 16, 14, 0] [15, 14, 0] --------------- = ----------- [4, 16, 16] [4, 16] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [1, 18, 16, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [4, 16, 16] [4, 16] [3, 2, 16, 6, 0] [3, 2, 6, 0] ---------------- = ------------ [4, 16, 16] [4, 16] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [4, 5, 16, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [4, 16, 16] [4, 16] denominator=, [5, 10, 10] [15, 10, 9, 0] [15, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [1, 16, 10, 7, 0] [1, 16, 7, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 18, 10, 3, 0] [3, 18, 3, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 0, 10, 1, 0] [5, 0, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 15, 15] [12, 15, 14, 0] [12, 14, 0] --------------- = ----------- [5, 15, 15] [5, 15] [1, 0, 15, 13, 0] [1, 0, 13, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 14, 15, 11, 0] [1, 14, 11, 0] ------------------ = -------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [2, 16, 15, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [3, 4, 15, 7, 0] [3, 4, 7, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 6, 15, 4, 0] [4, 6, 4, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [5, 1, 15, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [5, 8, 15, 1, 0] [5, 8, 1, 0] ---------------- = ------------ [5, 15, 15] [5, 15] denominator=, [6, 4, 4] [1, 15, 4, 3, 0] [1, 15, 3, 0] ---------------- = ------------- [6, 4, 4] [6, 4] [4, 14, 4, 1, 0] [4, 14, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 8, 8] [1, 16, 8, 6, 0] [1, 16, 6, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [4, 17, 8, 2, 0] [4, 17, 2, 0] ---------------- = ------------- [6, 8, 8] [6, 8] denominator=, [6, 12, 12] [16, 12, 11, 0] [16, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [1, 17, 12, 9, 0] [1, 17, 9, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 18, 12, 7, 0] [2, 18, 7, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [4, 0, 12, 5, 0] [4, 0, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [5, 1, 12, 3, 0] [5, 1, 3, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [6, 2, 12, 1, 0] [6, 2, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 16, 16] [1, 18, 16, 12, 0] [1, 18, 12, 0] ------------------ = -------------- [6, 16, 16] [6, 16] [5, 4, 16, 4, 0] [5, 4, 4, 0] ---------------- = ------------ [6, 16, 16] [6, 16] denominator=, [7, 14, 14] [17, 14, 13, 0] [17, 13, 0] --------------- = ----------- [7, 14, 14] [7, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [1, 18, 14, 11, 0] [1, 18, 11, 0] ------------------ = -------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 0, 14, 9, 0] [3, 0, 9, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 2, 14, 5, 0] [5, 2, 5, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 3, 14, 3, 0] [6, 3, 3, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [7, 4, 14, 1, 0] [7, 4, 1, 0] ---------------- = ------------ [7, 14, 14] [7, 14] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 12, 12] [1, 2, 12, 11, 0] [1, 2, 11, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [3, 16, 12, 7, 0] [3, 16, 7, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [5, 4, 12, 5, 0] [5, 4, 5, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [7, 18, 12, 1, 0] [7, 18, 1, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 16, 16] [18, 16, 15, 0] [18, 15, 0] --------------- = ----------- [8, 16, 16] [8, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 0, 16, 13, 0] [2, 0, 13, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 10, 16, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [3, 1, 16, 11, 0] [3, 1, 11, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [4, 2, 16, 9, 0] [4, 2, 9, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [5, 3, 16, 7, 0] [5, 3, 7, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [6, 4, 16, 5, 0] [6, 4, 5, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [6, 14, 16, 4, 0] [6, 14, 4, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 5, 16, 3, 0] [7, 5, 3, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [8, 6, 16, 1, 0] [8, 6, 1, 0] ---------------- = ------------ [8, 16, 16] [8, 16] denominator=, [10, 4, 4] [2, 18, 4, 3, 0] [2, 18, 3, 0] ---------------- = ------------- [10, 4, 4] [10, 4] [7, 15, 4, 1, 0] [7, 15, 1, 0] ---------------- = ------------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [3, 0, 8, 6, 0] [3, 0, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [7, 18, 8, 2, 0] [7, 18, 2, 0] ---------------- = ------------- [10, 8, 8] [10, 8] denominator=, [10, 12, 12] [1, 7, 12, 11, 0] [1, 7, 11, 0] ----------------- = ------------- [10, 12, 12] [10, 12] [3, 1, 12, 9, 0] [3, 1, 9, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [4, 14, 12, 7, 0] [4, 14, 7, 0] ----------------- = ------------- [10, 12, 12] [10, 12] [6, 8, 12, 5, 0] [6, 8, 5, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [8, 2, 12, 3, 0] [8, 2, 3, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [9, 15, 12, 1, 0] [9, 15, 1, 0] ----------------- = ------------- [10, 12, 12] [10, 12] denominator=, [10, 15, 15] [1, 4, 15, 14, 0] [1, 4, 14, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [1, 17, 15, 13, 0] [1, 17, 13, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [3, 5, 15, 11, 0] [3, 5, 11, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [5, 6, 15, 8, 0] [5, 6, 8, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [6, 0, 15, 7, 0] [6, 0, 7, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 1, 15, 4, 0] [8, 1, 4, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [9, 8, 15, 2, 0] [9, 8, 2, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [10, 2, 15, 1, 0] [10, 2, 1, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [10, 16, 16] [3, 2, 16, 12, 0] [3, 2, 12, 0] ----------------- = ------------- [10, 16, 16] [10, 16] [8, 5, 16, 4, 0] [8, 5, 4, 0] ---------------- = ------------ [10, 16, 16] [10, 16] denominator=, [12, 4, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] denominator=, [12, 8, 8] [2, 2, 8, 7, 0] [2, 2, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [5, 1, 8, 5, 0] [5, 1, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 0, 8, 3, 0] [8, 0, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] [10, 18, 8, 1, 0] [10, 18, 1, 0] ----------------- = -------------- [12, 8, 8] [12, 8] denominator=, [12, 16, 16] [2, 3, 16, 14, 0] [2, 3, 14, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [3, 13, 16, 12, 0] [3, 13, 12, 0] ------------------ = -------------- [12, 16, 16] [12, 16] [5, 4, 16, 10, 0] [5, 4, 10, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [8, 5, 16, 6, 0] [8, 5, 6, 0] ---------------- = ------------ [12, 16, 16] [12, 16] [9, 15, 16, 4, 0] [9, 15, 4, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [11, 6, 16, 2, 0] [11, 6, 2, 0] ----------------- = ------------- [12, 16, 16] [12, 16] denominator=, [14, 4, 4] [4, 2, 4, 3, 0] [4, 2, 3, 0] --------------- = ------------ [14, 4, 4] [14, 4] [10, 16, 4, 1, 0] [10, 16, 1, 0] ----------------- = -------------- [14, 4, 4] [14, 4] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [4, 3, 8, 6, 0] [4, 3, 6, 0] --------------- = ------------ [14, 8, 8] [14, 8] [11, 0, 8, 2, 0] [11, 0, 2, 0] ---------------- = ------------- [14, 8, 8] [14, 8] denominator=, [14, 12, 12] [1, 17, 12, 11, 0] [1, 17, 11, 0] ------------------ = -------------- [14, 12, 12] [14, 12] [4, 4, 12, 9, 0] [4, 4, 9, 0] ---------------- = ------------ [14, 12, 12] [14, 12] [6, 10, 12, 7, 0] [6, 10, 7, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [8, 16, 12, 5, 0] [8, 16, 5, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [11, 3, 12, 3, 0] [11, 3, 3, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [13, 9, 12, 1, 0] [13, 9, 1, 0] ----------------- = ------------- [14, 12, 12] [14, 12] denominator=, [14, 16, 16] [4, 5, 16, 12, 0] [4, 5, 12, 0] ----------------- = ------------- [14, 16, 16] [14, 16] [11, 6, 16, 4, 0] [11, 6, 4, 0] ----------------- = ------------- [14, 16, 16] [14, 16] denominator=, [15, 5, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] denominator=, [15, 10, 10] [2, 5, 10, 9, 0] [2, 5, 9, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [5, 4, 10, 7, 0] [5, 4, 7, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [11, 2, 10, 3, 0] [11, 2, 3, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] [14, 1, 10, 1, 0] [14, 1, 1, 0] ----------------- = ------------- [15, 10, 10] [15, 10] denominator=, [16, 4, 4] [4, 13, 4, 3, 0] [4, 13, 3, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [12, 7, 4, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [16, 4, 4] [16, 4] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [4, 14, 8, 6, 0] [4, 14, 6, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [12, 10, 8, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 12, 12] [2, 3, 12, 11, 0] [2, 3, 11, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [4, 15, 12, 9, 0] [4, 15, 9, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [7, 8, 12, 7, 0] [7, 8, 7, 0] ---------------- = ------------ [16, 12, 12] [16, 12] [10, 1, 12, 5, 0] [10, 1, 5, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [12, 13, 12, 3, 0] [12, 13, 3, 0] ------------------ = -------------- [16, 12, 12] [16, 12] [15, 6, 12, 1, 0] [15, 6, 1, 0] ----------------- = ------------- [16, 12, 12] [16, 12] denominator=, [18, 4, 4] [5, 5, 4, 3, 0] [5, 5, 3, 0] --------------- = ------------ [18, 4, 4] [18, 4] [13, 17, 4, 1, 0] [13, 17, 1, 0] ----------------- = -------------- [18, 4, 4] [18, 4] denominator=, [18, 8, 8] [5, 6, 8, 6, 0] [5, 6, 6, 0] --------------- = ------------ [18, 8, 8] [18, 8] [14, 1, 8, 2, 0] [14, 1, 2, 0] ---------------- = ------------- [18, 8, 8] [18, 8] denominator=, [18, 12, 12] [2, 8, 12, 11, 0] [2, 8, 11, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [5, 7, 12, 9, 0] [5, 7, 9, 0] ---------------- = ------------ [18, 12, 12] [18, 12] [8, 6, 12, 7, 0] [8, 6, 7, 0] ---------------- = ------------ [18, 12, 12] [18, 12] [11, 5, 12, 5, 0] [11, 5, 5, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [14, 4, 12, 3, 0] [14, 4, 3, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [17, 3, 12, 1, 0] [17, 3, 1, 0] ----------------- = ------------- [18, 12, 12] [18, 12] denominator=, [18, 16, 16] [5, 8, 16, 12, 0] [5, 8, 12, 0] ----------------- = ------------- [18, 16, 16] [18, 16] [14, 7, 16, 4, 0] [14, 7, 4, 0] ----------------- = ------------- [18, 16, 16] [18, 16] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [1, 15, 0] [1, 15] [1] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 14] [15, 15] [15] ----------- = ------- [1, 15, 14] [1, 14] denominator=, [1, 16, 0] [1, 16] [1] ---------- = ------ [1, 16, 0] [1, 0] denominator=, [1, 16, 15] [16, 16] [16] ----------- = ------- [1, 16, 15] [1, 15] denominator=, [1, 17, 0] [1, 17] [1] ---------- = ------ [1, 17, 0] [1, 0] denominator=, [1, 17, 16] [17, 17] [17] ----------- = ------- [1, 17, 16] [1, 16] denominator=, [1, 18, 0] [1, 18] [1] ---------- = ------ [1, 18, 0] [1, 0] denominator=, [1, 18, 17] [18, 18] [18] ----------- = ------- [1, 18, 17] [1, 17] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [2, 15, 0] [2, 15] [2] ---------- = ------ [2, 15, 0] [2, 0] denominator=, [2, 15, 13] [15, 15] [15] ----------- = ------- [2, 15, 13] [2, 13] denominator=, [2, 16, 0] [2, 16] [2] ---------- = ------ [2, 16, 0] [2, 0] denominator=, [2, 16, 14] [16, 16] [16] ----------- = ------- [2, 16, 14] [2, 14] denominator=, [2, 17, 0] [2, 17] [2] ---------- = ------ [2, 17, 0] [2, 0] denominator=, [2, 17, 15] [17, 17] [17] ----------- = ------- [2, 17, 15] [2, 15] denominator=, [2, 18, 0] [2, 18] [2] ---------- = ------ [2, 18, 0] [2, 0] denominator=, [2, 18, 16] [18, 18] [18] ----------- = ------- [2, 18, 16] [2, 16] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [3, 15] [3] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 12] [15, 15] [15] ----------- = ------- [3, 15, 12] [3, 12] denominator=, [3, 16, 0] [3, 16] [3] ---------- = ------ [3, 16, 0] [3, 0] denominator=, [3, 16, 13] [16, 16] [16] ----------- = ------- [3, 16, 13] [3, 13] denominator=, [3, 17, 0] [3, 17] [3] ---------- = ------ [3, 17, 0] [3, 0] denominator=, [3, 17, 14] [17, 17] [17] ----------- = ------- [3, 17, 14] [3, 14] denominator=, [3, 18, 0] [3, 18] [3] ---------- = ------ [3, 18, 0] [3, 0] denominator=, [3, 18, 15] [18, 18] [18] ----------- = ------- [3, 18, 15] [3, 15] denominator=, [3, 18, 17] [1, 18, 18] [1, 18] ----------- = ------- [3, 18, 17] [3, 17] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 9, 8] [1, 9, 9] [1, 9] --------- = ------ [4, 9, 8] [4, 8] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 15, 0] [4, 15] [4] ---------- = ------ [4, 15, 0] [4, 0] denominator=, [4, 15, 11] [15, 15] [15] ----------- = ------- [4, 15, 11] [4, 11] denominator=, [4, 16, 0] [4, 16] [4] ---------- = ------ [4, 16, 0] [4, 0] denominator=, [4, 16, 12] [16, 16] [16] ----------- = ------- [4, 16, 12] [4, 12] denominator=, [4, 17, 0] [4, 17] [4] ---------- = ------ [4, 17, 0] [4, 0] denominator=, [4, 17, 13] [17, 17] [17] ----------- = ------- [4, 17, 13] [4, 13] denominator=, [4, 18, 0] [4, 18] [4] ---------- = ------ [4, 18, 0] [4, 0] denominator=, [4, 18, 14] [18, 18] [18] ----------- = ------- [4, 18, 14] [4, 14] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [5, 6, 5] [5, 5] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [5, 15] [5] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 10] [15, 15] [15] ----------- = ------- [5, 15, 10] [5, 10] denominator=, [5, 16, 0] [5, 16] [5] ---------- = ------ [5, 16, 0] [5, 0] denominator=, [5, 16, 11] [16, 16] [16] ----------- = ------- [5, 16, 11] [5, 11] denominator=, [5, 17, 0] [5, 17] [5] ---------- = ------ [5, 17, 0] [5, 0] denominator=, [5, 17, 12] [17, 17] [17] ----------- = ------- [5, 17, 12] [5, 12] denominator=, [5, 18, 0] [5, 18] [5] ---------- = ------ [5, 18, 0] [5, 0] denominator=, [5, 18, 13] [18, 18] [18] ----------- = ------- [5, 18, 13] [5, 13] denominator=, [5, 18, 16] [1, 18, 18] [1, 18] ----------- = ------- [5, 18, 16] [5, 16] denominator=, [5, 18, 17] [2, 18, 18] [2, 18] ----------- = ------- [5, 18, 17] [5, 17] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 12, 10] [1, 12, 12] [1, 12] ----------- = ------- [6, 12, 10] [6, 10] denominator=, [6, 12, 11] [2, 12, 12] [2, 12] ----------- = ------- [6, 12, 11] [6, 11] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 15, 0] [6, 15] [6] ---------- = ------ [6, 15, 0] [6, 0] denominator=, [6, 15, 9] [15, 15] [15] ---------- = ------ [6, 15, 9] [6, 9] denominator=, [6, 16, 0] [6, 16] [6] ---------- = ------ [6, 16, 0] [6, 0] denominator=, [6, 16, 10] [16, 16] [16] ----------- = ------- [6, 16, 10] [6, 10] denominator=, [6, 17, 0] [6, 17] [6] ---------- = ------ [6, 17, 0] [6, 0] denominator=, [6, 17, 11] [17, 17] [17] ----------- = ------- [6, 17, 11] [6, 11] denominator=, [6, 18, 0] [6, 18] [6] ---------- = ------ [6, 18, 0] [6, 0] denominator=, [6, 18, 12] [18, 18] [18] ----------- = ------- [6, 18, 12] [6, 12] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 9, 7] [1, 9, 9] [1, 9] --------- = ------ [7, 9, 7] [7, 7] denominator=, [7, 9, 8] [2, 9, 9] [2, 9] --------- = ------ [7, 9, 8] [7, 8] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 15, 0] [7, 15] [7] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 8] [15, 15] [15] ---------- = ------ [7, 15, 8] [7, 8] denominator=, [7, 16, 0] [7, 16] [7] ---------- = ------ [7, 16, 0] [7, 0] denominator=, [7, 16, 9] [16, 16] [16] ---------- = ------ [7, 16, 9] [7, 9] denominator=, [7, 17, 0] [7, 17] [7] ---------- = ------ [7, 17, 0] [7, 0] denominator=, [7, 17, 10] [17, 17] [17] ----------- = ------- [7, 17, 10] [7, 10] denominator=, [7, 18, 0] [7, 18] [7] ---------- = ------ [7, 18, 0] [7, 0] denominator=, [7, 18, 11] [18, 18] [18] ----------- = ------- [7, 18, 11] [7, 11] denominator=, [7, 18, 15] [1, 18, 18] [1, 18] ----------- = ------- [7, 18, 15] [7, 15] denominator=, [7, 18, 17] [3, 18, 18] [3, 18] ----------- = ------- [7, 18, 17] [7, 17] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [8, 3, 2] [8, 2] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 15, 0] [8, 15] [8] ---------- = ------ [8, 15, 0] [8, 0] denominator=, [8, 15, 7] [15, 15] [15] ---------- = ------ [8, 15, 7] [8, 7] denominator=, [8, 16, 0] [8, 16] [8] ---------- = ------ [8, 16, 0] [8, 0] denominator=, [8, 16, 8] [16, 16] [16] ---------- = ------ [8, 16, 8] [8, 8] denominator=, [8, 17, 0] [8, 17] [8] ---------- = ------ [8, 17, 0] [8, 0] denominator=, [8, 17, 9] [17, 17] [17] ---------- = ------ [8, 17, 9] [8, 9] denominator=, [8, 18, 0] [8, 18] [8] ---------- = ------ [8, 18, 0] [8, 0] denominator=, [8, 18, 10] [18, 18] [18] ----------- = ------- [8, 18, 10] [8, 10] denominator=, [8, 18, 16] [2, 18, 18] [2, 18] ----------- = ------- [8, 18, 16] [8, 16] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [9, 6, 4] [9, 4] denominator=, [9, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [9, 6, 5] [9, 5] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 15, 0] [9, 15] [9] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 6] [15, 15] [15] ---------- = ------ [9, 15, 6] [9, 6] denominator=, [9, 16, 0] [9, 16] [9] ---------- = ------ [9, 16, 0] [9, 0] denominator=, [9, 16, 7] [16, 16] [16] ---------- = ------ [9, 16, 7] [9, 7] denominator=, [9, 17, 0] [9, 17] [9] ---------- = ------ [9, 17, 0] [9, 0] denominator=, [9, 17, 8] [17, 17] [17] ---------- = ------ [9, 17, 8] [9, 8] denominator=, [9, 18, 0] [9, 18] [9] ---------- = ------ [9, 18, 0] [9, 0] denominator=, [9, 18, 9] [18, 18] [18] ---------- = ------ [9, 18, 9] [9, 9] denominator=, [9, 18, 14] [1, 18, 18] [1, 18] ----------- = ------- [9, 18, 14] [9, 14] denominator=, [9, 18, 17] [4, 18, 18] [4, 18] ----------- = ------- [9, 18, 17] [9, 17] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 9, 6] [1, 9, 9] [1, 9] ---------- = ------- [10, 9, 6] [10, 6] denominator=, [10, 9, 8] [3, 9, 9] [3, 9] ---------- = ------- [10, 9, 8] [10, 8] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 12, 10] [2, 12, 12] [2, 12] ------------ = -------- [10, 12, 10] [10, 10] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 15, 0] [10, 15] [10] ----------- = ------- [10, 15, 0] [10, 0] denominator=, [10, 15, 5] [15, 15] [15] ----------- = ------- [10, 15, 5] [10, 5] denominator=, [10, 16, 0] [10, 16] [10] ----------- = ------- [10, 16, 0] [10, 0] denominator=, [10, 16, 6] [16, 16] [16] ----------- = ------- [10, 16, 6] [10, 6] denominator=, [10, 17, 0] [10, 17] [10] ----------- = ------- [10, 17, 0] [10, 0] denominator=, [10, 17, 7] [17, 17] [17] ----------- = ------- [10, 17, 7] [10, 7] denominator=, [10, 18, 0] [10, 18] [10] ----------- = ------- [10, 18, 0] [10, 0] denominator=, [10, 18, 8] [18, 18] [18] ----------- = ------- [10, 18, 8] [10, 8] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 2, 1] [1, 2, 2] [1, 2] ---------- = ------- [11, 2, 1] [11, 1] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [11, 12, 8] [11, 8] denominator=, [11, 12, 11] [4, 12, 12] [4, 12] ------------ = -------- [11, 12, 11] [11, 11] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 15, 0] [11, 15] [11] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 4] [15, 15] [15] ----------- = ------- [11, 15, 4] [11, 4] denominator=, [11, 16, 0] [11, 16] [11] ----------- = ------- [11, 16, 0] [11, 0] denominator=, [11, 16, 5] [16, 16] [16] ----------- = ------- [11, 16, 5] [11, 5] denominator=, [11, 17, 0] [11, 17] [11] ----------- = ------- [11, 17, 0] [11, 0] denominator=, [11, 17, 6] [17, 17] [17] ----------- = ------- [11, 17, 6] [11, 6] denominator=, [11, 18, 0] [11, 18] [11] ----------- = ------- [11, 18, 0] [11, 0] denominator=, [11, 18, 7] [18, 18] [18] ----------- = ------- [11, 18, 7] [11, 7] denominator=, [11, 18, 13] [1, 18, 18] [1, 18] ------------ = -------- [11, 18, 13] [11, 13] denominator=, [11, 18, 15] [2, 18, 18] [2, 18] ------------ = -------- [11, 18, 15] [11, 15] denominator=, [11, 18, 16] [3, 18, 18] [3, 18] ------------ = -------- [11, 18, 16] [11, 16] denominator=, [11, 18, 17] [5, 18, 18] [5, 18] ------------ = -------- [11, 18, 17] [11, 17] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [12, 4, 2] [12, 2] denominator=, [12, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [12, 4, 3] [12, 3] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 9, 7] [2, 9, 9] [2, 9] ---------- = ------- [12, 9, 7] [12, 7] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 15, 0] [12, 15] [12] ----------- = ------- [12, 15, 0] [12, 0] denominator=, [12, 15, 3] [15, 15] [15] ----------- = ------- [12, 15, 3] [12, 3] denominator=, [12, 15, 10] [1, 15, 15] [1, 15] ------------ = -------- [12, 15, 10] [12, 10] denominator=, [12, 15, 14] [5, 15, 15] [5, 15] ------------ = -------- [12, 15, 14] [12, 14] denominator=, [12, 16, 0] [12, 16] [12] ----------- = ------- [12, 16, 0] [12, 0] denominator=, [12, 16, 4] [16, 16] [16] ----------- = ------- [12, 16, 4] [12, 4] denominator=, [12, 17, 0] [12, 17] [12] ----------- = ------- [12, 17, 0] [12, 0] denominator=, [12, 17, 5] [17, 17] [17] ----------- = ------- [12, 17, 5] [12, 5] denominator=, [12, 18, 0] [12, 18] [12] ----------- = ------- [12, 18, 0] [12, 0] denominator=, [12, 18, 6] [18, 18] [18] ----------- = ------- [12, 18, 6] [12, 6] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [13, 6, 3] [13, 3] denominator=, [13, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [13, 6, 5] [13, 5] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [13, 8, 6] [13, 6] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 9, 5] [1, 9, 9] [1, 9] ---------- = ------- [13, 9, 5] [13, 5] denominator=, [13, 9, 8] [4, 9, 9] [4, 9] ---------- = ------- [13, 9, 8] [13, 8] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 15, 0] [13, 15] [13] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 2] [15, 15] [15] ----------- = ------- [13, 15, 2] [13, 2] denominator=, [13, 16, 0] [13, 16] [13] ----------- = ------- [13, 16, 0] [13, 0] denominator=, [13, 16, 3] [16, 16] [16] ----------- = ------- [13, 16, 3] [13, 3] denominator=, [13, 17, 0] [13, 17] [13] ----------- = ------- [13, 17, 0] [13, 0] denominator=, [13, 17, 4] [17, 17] [17] ----------- = ------- [13, 17, 4] [13, 4] denominator=, [13, 18, 0] [13, 18] [13] ----------- = ------- [13, 18, 0] [13, 0] denominator=, [13, 18, 5] [18, 18] [18] ----------- = ------- [13, 18, 5] [13, 5] denominator=, [13, 18, 12] [1, 18, 18] [1, 18] ------------ = -------- [13, 18, 12] [13, 12] denominator=, [13, 18, 17] [6, 18, 18] [6, 18] ------------ = -------- [13, 18, 17] [13, 17] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [14, 8, 4] [14, 4] denominator=, [14, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [14, 8, 7] [14, 7] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [14, 12, 9] [14, 9] denominator=, [14, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [14, 12, 10] [14, 10] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 15, 0] [14, 15] [14] ----------- = ------- [14, 15, 0] [14, 0] denominator=, [14, 15, 1] [15, 15] [15] ----------- = ------- [14, 15, 1] [14, 1] denominator=, [14, 16, 0] [14, 16] [14] ----------- = ------- [14, 16, 0] [14, 0] denominator=, [14, 16, 2] [16, 16] [16] ----------- = ------- [14, 16, 2] [14, 2] denominator=, [14, 17, 0] [14, 17] [14] ----------- = ------- [14, 17, 0] [14, 0] denominator=, [14, 17, 3] [17, 17] [17] ----------- = ------- [14, 17, 3] [14, 3] denominator=, [14, 18, 0] [14, 18] [14] ----------- = ------- [14, 18, 0] [14, 0] denominator=, [14, 18, 4] [18, 18] [18] ----------- = ------- [14, 18, 4] [14, 4] denominator=, [14, 18, 14] [2, 18, 18] [2, 18] ------------ = -------- [14, 18, 14] [14, 14] denominator=, [14, 18, 16] [4, 18, 18] [4, 18] ------------ = -------- [14, 18, 16] [14, 16] denominator=, [15, 1, 0] [15, 1] [15] ---------- = ------- [15, 1, 0] [15, 0] denominator=, [15, 2, 0] [15, 2] [15] ---------- = ------- [15, 2, 0] [15, 0] denominator=, [15, 3, 0] [15, 3] [15] ---------- = ------- [15, 3, 0] [15, 0] denominator=, [15, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [15, 3, 1] [15, 1] denominator=, [15, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [15, 3, 2] [15, 2] denominator=, [15, 4, 0] [15, 4] [15] ---------- = ------- [15, 4, 0] [15, 0] denominator=, [15, 5, 0] [15, 5] [15] ---------- = ------- [15, 5, 0] [15, 0] denominator=, [15, 6, 0] [15, 6] [15] ---------- = ------- [15, 6, 0] [15, 0] denominator=, [15, 7, 0] [15, 7] [15] ---------- = ------- [15, 7, 0] [15, 0] denominator=, [15, 8, 0] [15, 8] [15] ---------- = ------- [15, 8, 0] [15, 0] denominator=, [15, 9, 0] [15, 9] [15] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 10, 0] [15, 10] [15] ----------- = ------- [15, 10, 0] [15, 0] denominator=, [15, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [15, 10, 5] [15, 5] denominator=, [15, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [15, 10, 9] [15, 9] denominator=, [15, 11, 0] [15, 11] [15] ----------- = ------- [15, 11, 0] [15, 0] denominator=, [15, 12, 0] [15, 12] [15] ----------- = ------- [15, 12, 0] [15, 0] denominator=, [15, 13, 0] [15, 13] [15] ----------- = ------- [15, 13, 0] [15, 0] denominator=, [15, 14, 0] [15, 14] [15] ----------- = ------- [15, 14, 0] [15, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 16, 0] [15, 16] [15] ----------- = ------- [15, 16, 0] [15, 0] denominator=, [15, 16, 1] [16, 16] [16] ----------- = ------- [15, 16, 1] [15, 1] denominator=, [15, 16, 12] [2, 16, 16] [2, 16] ------------ = -------- [15, 16, 12] [15, 12] denominator=, [15, 16, 14] [4, 16, 16] [4, 16] ------------ = -------- [15, 16, 14] [15, 14] denominator=, [15, 17, 0] [15, 17] [15] ----------- = ------- [15, 17, 0] [15, 0] denominator=, [15, 17, 2] [17, 17] [17] ----------- = ------- [15, 17, 2] [15, 2] denominator=, [15, 18, 0] [15, 18] [15] ----------- = ------- [15, 18, 0] [15, 0] denominator=, [15, 18, 3] [18, 18] [18] ----------- = ------- [15, 18, 3] [15, 3] denominator=, [15, 18, 11] [1, 18, 18] [1, 18] ------------ = -------- [15, 18, 11] [15, 11] denominator=, [15, 18, 15] [3, 18, 18] [3, 18] ------------ = -------- [15, 18, 15] [15, 15] denominator=, [15, 18, 17] [7, 18, 18] [7, 18] ------------ = -------- [15, 18, 17] [15, 17] denominator=, [16, 1, 0] [16, 1] [16] ---------- = ------- [16, 1, 0] [16, 0] denominator=, [16, 2, 0] [16, 2] [16] ---------- = ------- [16, 2, 0] [16, 0] denominator=, [16, 3, 0] [16, 3] [16] ---------- = ------- [16, 3, 0] [16, 0] denominator=, [16, 4, 0] [16, 4] [16] ---------- = ------- [16, 4, 0] [16, 0] denominator=, [16, 5, 0] [16, 5] [16] ---------- = ------- [16, 5, 0] [16, 0] denominator=, [16, 6, 0] [16, 6] [16] ---------- = ------- [16, 6, 0] [16, 0] denominator=, [16, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [16, 6, 4] [16, 4] denominator=, [16, 7, 0] [16, 7] [16] ---------- = ------- [16, 7, 0] [16, 0] denominator=, [16, 8, 0] [16, 8] [16] ---------- = ------- [16, 8, 0] [16, 0] denominator=, [16, 9, 0] [16, 9] [16] ---------- = ------- [16, 9, 0] [16, 0] denominator=, [16, 9, 4] [1, 9, 9] [1, 9] ---------- = ------- [16, 9, 4] [16, 4] denominator=, [16, 9, 8] [5, 9, 9] [5, 9] ---------- = ------- [16, 9, 8] [16, 8] denominator=, [16, 10, 0] [16, 10] [16] ----------- = ------- [16, 10, 0] [16, 0] denominator=, [16, 11, 0] [16, 11] [16] ----------- = ------- [16, 11, 0] [16, 0] denominator=, [16, 12, 0] [16, 12] [16] ----------- = ------- [16, 12, 0] [16, 0] denominator=, [16, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [16, 12, 6] [16, 6] denominator=, [16, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [16, 12, 11] [16, 11] denominator=, [16, 13, 0] [16, 13] [16] ----------- = ------- [16, 13, 0] [16, 0] denominator=, [16, 14, 0] [16, 14] [16] ----------- = ------- [16, 14, 0] [16, 0] denominator=, [16, 15, 0] [16, 15] [16] ----------- = ------- [16, 15, 0] [16, 0] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [16, 17, 0] [16, 17] [16] ----------- = ------- [16, 17, 0] [16, 0] denominator=, [16, 17, 1] [17, 17] [17] ----------- = ------- [16, 17, 1] [16, 1] denominator=, [16, 18, 0] [16, 18] [16] ----------- = ------- [16, 18, 0] [16, 0] denominator=, [16, 18, 2] [18, 18] [18] ----------- = ------- [16, 18, 2] [16, 2] denominator=, [17, 1, 0] [17, 1] [17] ---------- = ------- [17, 1, 0] [17, 0] denominator=, [17, 2, 0] [17, 2] [17] ---------- = ------- [17, 2, 0] [17, 0] denominator=, [17, 3, 0] [17, 3] [17] ---------- = ------- [17, 3, 0] [17, 0] denominator=, [17, 4, 0] [17, 4] [17] ---------- = ------- [17, 4, 0] [17, 0] denominator=, [17, 5, 0] [17, 5] [17] ---------- = ------- [17, 5, 0] [17, 0] denominator=, [17, 6, 0] [17, 6] [17] ---------- = ------- [17, 6, 0] [17, 0] denominator=, [17, 6, 2] [1, 6, 6] [1, 6] ---------- = ------- [17, 6, 2] [17, 2] denominator=, [17, 6, 5] [4, 6, 6] [4, 6] ---------- = ------- [17, 6, 5] [17, 5] denominator=, [17, 7, 0] [17, 7] [17] ---------- = ------- [17, 7, 0] [17, 0] denominator=, [17, 8, 0] [17, 8] [17] ---------- = ------- [17, 8, 0] [17, 0] denominator=, [17, 9, 0] [17, 9] [17] ---------- = ------- [17, 9, 0] [17, 0] denominator=, [17, 9, 6] [2, 9, 9] [2, 9] ---------- = ------- [17, 9, 6] [17, 6] denominator=, [17, 9, 7] [3, 9, 9] [3, 9] ---------- = ------- [17, 9, 7] [17, 7] denominator=, [17, 10, 0] [17, 10] [17] ----------- = ------- [17, 10, 0] [17, 0] denominator=, [17, 11, 0] [17, 11] [17] ----------- = ------- [17, 11, 0] [17, 0] denominator=, [17, 12, 0] [17, 12] [17] ----------- = ------- [17, 12, 0] [17, 0] denominator=, [17, 13, 0] [17, 13] [17] ----------- = ------- [17, 13, 0] [17, 0] denominator=, [17, 14, 0] [17, 14] [17] ----------- = ------- [17, 14, 0] [17, 0] denominator=, [17, 14, 7] [1, 14, 14] [1, 14] ----------- = ------- [17, 14, 7] [17, 7] denominator=, [17, 14, 13] [7, 14, 14] [7, 14] ------------ = -------- [17, 14, 13] [17, 13] denominator=, [17, 15, 0] [17, 15] [17] ----------- = ------- [17, 15, 0] [17, 0] denominator=, [17, 16, 0] [17, 16] [17] ----------- = ------- [17, 16, 0] [17, 0] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [17, 18, 0] [17, 18] [17] ----------- = ------- [17, 18, 0] [17, 0] denominator=, [17, 18, 1] [18, 18] [18] ----------- = ------- [17, 18, 1] [17, 1] denominator=, [17, 18, 10] [1, 18, 18] [1, 18] ------------ = -------- [17, 18, 10] [17, 10] denominator=, [17, 18, 13] [2, 18, 18] [2, 18] ------------ = -------- [17, 18, 13] [17, 13] denominator=, [17, 18, 16] [5, 18, 18] [5, 18] ------------ = -------- [17, 18, 16] [17, 16] denominator=, [17, 18, 17] [8, 18, 18] [8, 18] ------------ = -------- [17, 18, 17] [17, 17] denominator=, [18, 1, 0] [18, 1] [18] ---------- = ------- [18, 1, 0] [18, 0] denominator=, [18, 2, 0] [18, 2] [18] ---------- = ------- [18, 2, 0] [18, 0] denominator=, [18, 3, 0] [18, 3] [18] ---------- = ------- [18, 3, 0] [18, 0] denominator=, [18, 4, 0] [18, 4] [18] ---------- = ------- [18, 4, 0] [18, 0] denominator=, [18, 5, 0] [18, 5] [18] ---------- = ------- [18, 5, 0] [18, 0] denominator=, [18, 6, 0] [18, 6] [18] ---------- = ------- [18, 6, 0] [18, 0] denominator=, [18, 7, 0] [18, 7] [18] ---------- = ------- [18, 7, 0] [18, 0] denominator=, [18, 8, 0] [18, 8] [18] ---------- = ------- [18, 8, 0] [18, 0] denominator=, [18, 9, 0] [18, 9] [18] ---------- = ------- [18, 9, 0] [18, 0] denominator=, [18, 10, 0] [18, 10] [18] ----------- = ------- [18, 10, 0] [18, 0] denominator=, [18, 11, 0] [18, 11] [18] ----------- = ------- [18, 11, 0] [18, 0] denominator=, [18, 12, 0] [18, 12] [18] ----------- = ------- [18, 12, 0] [18, 0] denominator=, [18, 12, 8] [2, 12, 12] [2, 12] ----------- = ------- [18, 12, 8] [18, 8] denominator=, [18, 12, 10] [4, 12, 12] [4, 12] ------------ = -------- [18, 12, 10] [18, 10] denominator=, [18, 13, 0] [18, 13] [18] ----------- = ------- [18, 13, 0] [18, 0] denominator=, [18, 14, 0] [18, 14] [18] ----------- = ------- [18, 14, 0] [18, 0] denominator=, [18, 15, 0] [18, 15] [18] ----------- = ------- [18, 15, 0] [18, 0] denominator=, [18, 16, 0] [18, 16] [18] ----------- = ------- [18, 16, 0] [18, 0] denominator=, [18, 16, 8] [1, 16, 16] [1, 16] ----------- = ------- [18, 16, 8] [18, 8] denominator=, [18, 16, 15] [8, 16, 16] [8, 16] ------------ = -------- [18, 16, 15] [18, 15] denominator=, [18, 17, 0] [18, 17] [18] ----------- = ------- [18, 17, 0] [18, 0] denominator=, [18, 18, 0] [18, 18] [18] ----------- = ------- [18, 18, 0] [18, 0] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 6, 1] [6, 5] [5] --------- = ------ [1, 6, 1] [1, 1] denominator=, [1, 9, 2] [9, 7] [7] --------- = ------ [1, 9, 2] [1, 2] denominator=, [1, 9, 5] [9, 8] [8] --------- = ------ [1, 9, 5] [1, 5] [2, 9, 2] [2, 2] --------- = ------ [1, 9, 5] [1, 5] denominator=, [1, 12, 1] [12, 8] [8] ---------- = ------ [1, 12, 1] [1, 1] denominator=, [1, 12, 6] [12, 10] [10] ---------- = ------ [1, 12, 6] [1, 6] [2, 12, 2] [2, 2] ---------- = ------ [1, 12, 6] [1, 6] denominator=, [1, 15, 3] [15, 10] [10] ---------- = ------ [1, 15, 3] [1, 3] denominator=, [1, 18, 1] [18, 10] [10] ---------- = ------ [1, 18, 1] [1, 1] denominator=, [1, 18, 3] [18, 11] [11] ---------- = ------ [1, 18, 3] [1, 3] denominator=, [1, 18, 5] [18, 12] [12] ---------- = ------ [1, 18, 5] [1, 5] denominator=, [1, 18, 7] [18, 13] [13] ---------- = ------ [1, 18, 7] [1, 7] [2, 18, 1] [2, 1] ---------- = ------ [1, 18, 7] [1, 7] denominator=, [1, 18, 9] [18, 14] [14] ---------- = ------ [1, 18, 9] [1, 9] [2, 18, 4] [2, 4] ---------- = ------ [1, 18, 9] [1, 9] denominator=, [1, 18, 11] [18, 15] [15] ----------- = ------- [1, 18, 11] [1, 11] [2, 18, 7] [2, 7] ----------- = ------- [1, 18, 11] [1, 11] denominator=, [1, 18, 13] [18, 16] [16] ----------- = ------- [1, 18, 13] [1, 13] [2, 18, 10] [2, 10] ----------- = ------- [1, 18, 13] [1, 13] [4, 18, 4] [4, 4] ----------- = ------- [1, 18, 13] [1, 13] denominator=, [1, 18, 15] [18, 17] [17] ----------- = ------- [1, 18, 15] [1, 15] [2, 18, 13] [2, 13] ----------- = ------- [1, 18, 15] [1, 15] [4, 18, 9] [4, 9] ----------- = ------- [1, 18, 15] [1, 15] [6, 18, 5] [6, 5] ----------- = ------- [1, 18, 15] [1, 15] [8, 18, 1] [8, 1] ----------- = ------- [1, 18, 15] [1, 15] denominator=, [2, 4, 4] [12, 4, 3] [12, 3] ---------- = ------- [2, 4, 4] [2, 4] [1, 13, 4, 1] [1, 13, 1] ------------- = ---------- [2, 4, 4] [2, 4] denominator=, [2, 8, 8] [13, 8, 6] [13, 6] ---------- = ------- [2, 8, 8] [2, 8] [1, 16, 8, 2] [1, 16, 2] ------------- = ---------- [2, 8, 8] [2, 8] denominator=, [2, 9, 2] [9, 8] [8] --------- = ------ [2, 9, 2] [2, 2] [1, 9, 5] [1, 5] --------- = ------ [2, 9, 2] [2, 2] denominator=, [2, 12, 2] [12, 10] [10] ---------- = ------ [2, 12, 2] [2, 2] [1, 12, 6] [1, 6] ---------- = ------ [2, 12, 2] [2, 2] denominator=, [2, 12, 6] [12, 11] [11] ---------- = ------ [2, 12, 6] [2, 6] [4, 12, 1] [4, 1] ---------- = ------ [2, 12, 6] [2, 6] denominator=, [2, 12, 8] [6, 12, 1] [6, 1] ---------- = ------ [2, 12, 8] [2, 8] denominator=, [2, 12, 12] [6, 12, 11] [6, 11] ----------- = ------- [2, 12, 12] [2, 12] [14, 12, 9] [14, 9] ----------- = ------- [2, 12, 12] [2, 12] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [2, 12, 12] [2, 12] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [2, 12, 12] [2, 12] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [2, 12, 12] [2, 12] [2, 8, 12, 1] [2, 8, 1] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 16, 1] [16, 12] [12] ---------- = ------ [2, 16, 1] [2, 1] denominator=, [2, 16, 16] [15, 16, 12] [15, 12] ------------ = -------- [2, 16, 16] [2, 16] [2, 3, 16, 4] [2, 3, 4] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [2, 18, 1] [18, 13] [13] ---------- = ------ [2, 18, 1] [2, 1] [1, 18, 7] [1, 7] ---------- = ------ [2, 18, 1] [2, 1] denominator=, [2, 18, 4] [18, 14] [14] ---------- = ------ [2, 18, 4] [2, 4] [1, 18, 9] [1, 9] ---------- = ------ [2, 18, 4] [2, 4] denominator=, [2, 18, 7] [18, 15] [15] ---------- = ------ [2, 18, 7] [2, 7] [1, 18, 11] [1, 11] ----------- = ------- [2, 18, 7] [2, 7] [3, 18, 3] [3, 3] ---------- = ------ [2, 18, 7] [2, 7] denominator=, [2, 18, 10] [18, 16] [16] ----------- = ------- [2, 18, 10] [2, 10] [1, 18, 13] [1, 13] ----------- = ------- [2, 18, 10] [2, 10] [3, 18, 7] [3, 7] ----------- = ------- [2, 18, 10] [2, 10] [4, 18, 4] [4, 4] ----------- = ------- [2, 18, 10] [2, 10] denominator=, [2, 18, 13] [18, 17] [17] ----------- = ------- [2, 18, 13] [2, 13] [1, 18, 15] [1, 15] ----------- = ------- [2, 18, 13] [2, 13] [3, 18, 11] [3, 11] ----------- = ------- [2, 18, 13] [2, 13] [4, 18, 9] [4, 9] ----------- = ------- [2, 18, 13] [2, 13] [6, 18, 5] [6, 5] ----------- = ------- [2, 18, 13] [2, 13] [7, 18, 3] [7, 3] ----------- = ------- [2, 18, 13] [2, 13] denominator=, [3, 6, 5] [8, 6, 3] [8, 3] --------- = ------ [3, 6, 5] [3, 5] denominator=, [3, 10, 9] [1, 0, 10, 2] [1, 0, 2] ------------- = --------- [3, 10, 9] [3, 9] denominator=, [3, 14, 13] [1, 1, 14, 5] [1, 1, 5] ------------- = --------- [3, 14, 13] [3, 13] denominator=, [3, 18, 1] [1, 18, 10] [1, 10] ----------- = ------- [3, 18, 1] [3, 1] denominator=, [3, 18, 3] [18, 15] [15] ---------- = ------ [3, 18, 3] [3, 3] [1, 18, 11] [1, 11] ----------- = ------- [3, 18, 3] [3, 3] [2, 18, 7] [2, 7] ---------- = ------ [3, 18, 3] [3, 3] denominator=, [3, 18, 5] [1, 18, 12] [1, 12] ----------- = ------- [3, 18, 5] [3, 5] denominator=, [3, 18, 7] [18, 16] [16] ---------- = ------ [3, 18, 7] [3, 7] [1, 18, 13] [1, 13] ----------- = ------- [3, 18, 7] [3, 7] [2, 18, 10] [2, 10] ----------- = ------- [3, 18, 7] [3, 7] [4, 18, 4] [4, 4] ---------- = ------ [3, 18, 7] [3, 7] [5, 18, 1] [5, 1] ---------- = ------ [3, 18, 7] [3, 7] denominator=, [3, 18, 9] [1, 18, 14] [1, 14] ----------- = ------- [3, 18, 9] [3, 9] [5, 18, 4] [5, 4] ---------- = ------ [3, 18, 9] [3, 9] denominator=, [3, 18, 11] [18, 17] [17] ----------- = ------- [3, 18, 11] [3, 11] [1, 18, 15] [1, 15] ----------- = ------- [3, 18, 11] [3, 11] [2, 18, 13] [2, 13] ----------- = ------- [3, 18, 11] [3, 11] [4, 18, 9] [4, 9] ----------- = ------- [3, 18, 11] [3, 11] [5, 18, 7] [5, 7] ----------- = ------- [3, 18, 11] [3, 11] [6, 18, 5] [6, 5] ----------- = ------- [3, 18, 11] [3, 11] [8, 18, 1] [8, 1] ----------- = ------- [3, 18, 11] [3, 11] denominator=, [3, 18, 13] [1, 18, 16] [1, 16] ----------- = ------- [3, 18, 13] [3, 13] [5, 18, 10] [5, 10] ----------- = ------- [3, 18, 13] [3, 13] [9, 18, 4] [9, 4] ----------- = ------- [3, 18, 13] [3, 13] denominator=, [3, 18, 17] [1, 18, 18] [1, 18] ----------- = ------- [3, 18, 17] [3, 17] [5, 18, 16] [5, 16] ----------- = ------- [3, 18, 17] [3, 17] [9, 18, 14] [9, 14] ----------- = ------- [3, 18, 17] [3, 17] [13, 18, 12] [13, 12] ------------ = -------- [3, 18, 17] [3, 17] [17, 18, 10] [17, 10] ------------ = -------- [3, 18, 17] [3, 17] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [3, 18, 17] [3, 17] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [3, 18, 17] [3, 17] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [3, 18, 17] [3, 17] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [3, 18, 17] [3, 17] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [3, 18, 17] [3, 17] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 8] [14, 8, 7] [14, 7] ---------- = ------- [4, 8, 8] [4, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [1, 15, 8, 5] [1, 15, 5] ------------- = ---------- [4, 8, 8] [4, 8] [2, 16, 8, 3] [2, 16, 3] ------------- = ---------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] [3, 17, 8, 1] [3, 17, 1] ------------- = ---------- [4, 8, 8] [4, 8] denominator=, [4, 9, 2] [1, 9, 7] [1, 7] --------- = ------ [4, 9, 2] [4, 2] denominator=, [4, 9, 8] [1, 9, 9] [1, 9] --------- = ------ [4, 9, 8] [4, 8] [7, 9, 7] [7, 7] --------- = ------ [4, 9, 8] [4, 8] [10, 9, 6] [10, 6] ---------- = ------- [4, 9, 8] [4, 8] [16, 9, 4] [16, 4] ---------- = ------- [4, 9, 8] [4, 8] [1, 0, 9, 3] [1, 0, 3] ------------ = --------- [4, 9, 8] [4, 8] [1, 6, 9, 1] [1, 6, 1] ------------ = --------- [4, 9, 8] [4, 8] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [4, 9, 8] [4, 8] denominator=, [4, 12, 1] [12, 11] [11] ---------- = ------ [4, 12, 1] [4, 1] [2, 12, 6] [2, 6] ---------- = ------ [4, 12, 1] [4, 1] denominator=, [4, 12, 10] [11, 12, 6] [11, 6] ----------- = ------- [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [11, 12, 11] [11, 11] ------------ = -------- [4, 12, 12] [4, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 1, 12, 7] [2, 1, 7] ------------- = --------- [4, 12, 12] [4, 12] [2, 15, 12, 5] [2, 15, 5] -------------- = ---------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] [4, 5, 12, 1] [4, 5, 1] ------------- = --------- [4, 12, 12] [4, 12] denominator=, [4, 16, 1] [16, 14] [14] ---------- = ------ [4, 16, 1] [4, 1] denominator=, [4, 16, 14] [1, 7, 16, 1] [1, 7, 1] ------------- = --------- [4, 16, 14] [4, 14] denominator=, [4, 16, 16] [15, 16, 14] [15, 14] ------------ = -------- [4, 16, 16] [4, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [1, 18, 16, 10] [1, 18, 10] --------------- = ----------- [4, 16, 16] [4, 16] [3, 2, 16, 6] [3, 2, 6] ------------- = --------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] [4, 5, 16, 2] [4, 5, 2] ------------- = --------- [4, 16, 16] [4, 16] denominator=, [4, 18, 4] [18, 16] [16] ---------- = ------ [4, 18, 4] [4, 4] [1, 18, 13] [1, 13] ----------- = ------- [4, 18, 4] [4, 4] [2, 18, 10] [2, 10] ----------- = ------- [4, 18, 4] [4, 4] [3, 18, 7] [3, 7] ---------- = ------ [4, 18, 4] [4, 4] [5, 18, 1] [5, 1] ---------- = ------ [4, 18, 4] [4, 4] denominator=, [4, 18, 9] [18, 17] [17] ---------- = ------ [4, 18, 9] [4, 9] [1, 18, 15] [1, 15] ----------- = ------- [4, 18, 9] [4, 9] [2, 18, 13] [2, 13] ----------- = ------- [4, 18, 9] [4, 9] [3, 18, 11] [3, 11] ----------- = ------- [4, 18, 9] [4, 9] [5, 18, 7] [5, 7] ---------- = ------ [4, 18, 9] [4, 9] [6, 18, 5] [6, 5] ---------- = ------ [4, 18, 9] [4, 9] [7, 18, 3] [7, 3] ---------- = ------ [4, 18, 9] [4, 9] [8, 18, 1] [8, 1] ---------- = ------ [4, 18, 9] [4, 9] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 6, 5] [1, 6, 6] [1, 6] --------- = ------ [5, 6, 5] [5, 5] [9, 6, 4] [9, 4] --------- = ------ [5, 6, 5] [5, 5] [13, 6, 3] [13, 3] ---------- = ------- [5, 6, 5] [5, 5] [17, 6, 2] [17, 2] ---------- = ------- [5, 6, 5] [5, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [5, 6, 5] [5, 5] denominator=, [5, 10, 9] [1, 11, 10, 2] [1, 11, 2] -------------- = ---------- [5, 10, 9] [5, 9] denominator=, [5, 10, 10] [15, 10, 9] [15, 9] ----------- = ------- [5, 10, 10] [5, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [1, 16, 10, 7] [1, 16, 7] -------------- = ---------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [3, 18, 10, 3] [3, 18, 3] -------------- = ---------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] [5, 0, 10, 1] [5, 0, 1] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 14, 13] [18, 14, 9] [18, 9] ----------- = ------- [5, 14, 13] [5, 13] [1, 12, 14, 5] [1, 12, 5] -------------- = ---------- [5, 14, 13] [5, 13] [2, 6, 14, 1] [2, 6, 1] ------------- = --------- [5, 14, 13] [5, 13] denominator=, [5, 15, 3] [15, 14] [14] ---------- = ------ [5, 15, 3] [5, 3] denominator=, [5, 15, 15] [12, 15, 14] [12, 14] ------------ = -------- [5, 15, 15] [5, 15] [1, 0, 15, 13] [1, 0, 13] -------------- = ---------- [5, 15, 15] [5, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [1, 14, 15, 11] [1, 14, 11] --------------- = ----------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [2, 16, 15, 8] [2, 16, 8] -------------- = ---------- [5, 15, 15] [5, 15] [3, 4, 15, 7] [3, 4, 7] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 6, 15, 4] [4, 6, 4] ------------- = --------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] [5, 1, 15, 2] [5, 1, 2] ------------- = --------- [5, 15, 15] [5, 15] [5, 8, 15, 1] [5, 8, 1] ------------- = --------- [5, 15, 15] [5, 15] denominator=, [5, 18, 1] [18, 16] [16] ---------- = ------ [5, 18, 1] [5, 1] [1, 18, 13] [1, 13] ----------- = ------- [5, 18, 1] [5, 1] [2, 18, 10] [2, 10] ----------- = ------- [5, 18, 1] [5, 1] [3, 18, 7] [3, 7] ---------- = ------ [5, 18, 1] [5, 1] [4, 18, 4] [4, 4] ---------- = ------ [5, 18, 1] [5, 1] denominator=, [5, 18, 3] [2, 18, 11] [2, 11] ----------- = ------- [5, 18, 3] [5, 3] denominator=, [5, 18, 4] [1, 18, 14] [1, 14] ----------- = ------- [5, 18, 4] [5, 4] [3, 18, 9] [3, 9] ---------- = ------ [5, 18, 4] [5, 4] denominator=, [5, 18, 5] [2, 18, 12] [2, 12] ----------- = ------- [5, 18, 5] [5, 5] denominator=, [5, 18, 7] [18, 17] [17] ---------- = ------ [5, 18, 7] [5, 7] [1, 18, 15] [1, 15] ----------- = ------- [5, 18, 7] [5, 7] [2, 18, 13] [2, 13] ----------- = ------- [5, 18, 7] [5, 7] [3, 18, 11] [3, 11] ----------- = ------- [5, 18, 7] [5, 7] [4, 18, 9] [4, 9] ---------- = ------ [5, 18, 7] [5, 7] [6, 18, 5] [6, 5] ---------- = ------ [5, 18, 7] [5, 7] [7, 18, 3] [7, 3] ---------- = ------ [5, 18, 7] [5, 7] [8, 18, 1] [8, 1] ---------- = ------ [5, 18, 7] [5, 7] denominator=, [5, 18, 9] [2, 18, 14] [2, 14] ----------- = ------- [5, 18, 9] [5, 9] [8, 18, 4] [8, 4] ---------- = ------ [5, 18, 9] [5, 9] denominator=, [5, 18, 10] [1, 18, 16] [1, 16] ----------- = ------- [5, 18, 10] [5, 10] [3, 18, 13] [3, 13] ----------- = ------- [5, 18, 10] [5, 10] [7, 18, 7] [7, 7] ----------- = ------- [5, 18, 10] [5, 10] [9, 18, 4] [9, 4] ----------- = ------- [5, 18, 10] [5, 10] denominator=, [5, 18, 11] [2, 18, 15] [2, 15] ----------- = ------- [5, 18, 11] [5, 11] [8, 18, 7] [8, 7] ----------- = ------- [5, 18, 11] [5, 11] denominator=, [5, 18, 15] [2, 18, 17] [2, 17] ----------- = ------- [5, 18, 15] [5, 15] [8, 18, 13] [8, 13] ----------- = ------- [5, 18, 15] [5, 15] [14, 18, 9] [14, 9] ----------- = ------- [5, 18, 15] [5, 15] [1, 1, 18, 5] [1, 1, 5] ------------- = --------- [5, 18, 15] [5, 15] [1, 7, 18, 1] [1, 7, 1] ------------- = --------- [5, 18, 15] [5, 15] denominator=, [5, 18, 16] [1, 18, 18] [1, 18] ----------- = ------- [5, 18, 16] [5, 16] [3, 18, 17] [3, 17] ----------- = ------- [5, 18, 16] [5, 16] [7, 18, 15] [7, 15] ----------- = ------- [5, 18, 16] [5, 16] [9, 18, 14] [9, 14] ----------- = ------- [5, 18, 16] [5, 16] [13, 18, 12] [13, 12] ------------ = -------- [5, 18, 16] [5, 16] [15, 18, 11] [15, 11] ------------ = -------- [5, 18, 16] [5, 16] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [5, 18, 16] [5, 16] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [5, 18, 16] [5, 16] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [5, 18, 16] [5, 16] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [5, 18, 16] [5, 16] [1, 12, 18, 3] [1, 12, 3] -------------- = ---------- [5, 18, 16] [5, 16] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [5, 18, 16] [5, 16] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [5, 18, 16] [5, 16] denominator=, [5, 18, 17] [2, 18, 18] [2, 18] ----------- = ------- [5, 18, 17] [5, 17] [8, 18, 16] [8, 16] ----------- = ------- [5, 18, 17] [5, 17] [14, 18, 14] [14, 14] ------------ = -------- [5, 18, 17] [5, 17] [1, 1, 18, 12] [1, 1, 12] -------------- = ---------- [5, 18, 17] [5, 17] [1, 7, 18, 10] [1, 7, 10] -------------- = ---------- [5, 18, 17] [5, 17] [1, 13, 18, 8] [1, 13, 8] -------------- = ---------- [5, 18, 17] [5, 17] [2, 0, 18, 6] [2, 0, 6] ------------- = --------- [5, 18, 17] [5, 17] [2, 6, 18, 4] [2, 6, 4] ------------- = --------- [5, 18, 17] [5, 17] [2, 12, 18, 2] [2, 12, 2] -------------- = ---------- [5, 18, 17] [5, 17] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [5, 18, 17] [5, 17] denominator=, [6, 4, 4] [1, 15, 4, 3] [1, 15, 3] ------------- = ---------- [6, 4, 4] [6, 4] [4, 14, 4, 1] [4, 14, 1] ------------- = ---------- [6, 4, 4] [6, 4] denominator=, [6, 7, 6] [1, 10, 7, 1] [1, 10, 1] ------------- = ---------- [6, 7, 6] [6, 6] denominator=, [6, 8, 8] [1, 16, 8, 6] [1, 16, 6] ------------- = ---------- [6, 8, 8] [6, 8] [4, 17, 8, 2] [4, 17, 2] ------------- = ---------- [6, 8, 8] [6, 8] denominator=, [6, 12, 1] [2, 12, 8] [2, 8] ---------- = ------ [6, 12, 1] [6, 1] denominator=, [6, 12, 2] [1, 12, 10] [1, 10] ----------- = ------- [6, 12, 2] [6, 2] denominator=, [6, 12, 8] [16, 12, 1] [16, 1] ----------- = ------- [6, 12, 8] [6, 8] denominator=, [6, 12, 10] [1, 12, 12] [1, 12] ----------- = ------- [6, 12, 10] [6, 10] [11, 12, 8] [11, 8] ----------- = ------- [6, 12, 10] [6, 10] [16, 12, 6] [16, 6] ----------- = ------- [6, 12, 10] [6, 10] [1, 2, 12, 4] [1, 2, 4] ------------- = --------- [6, 12, 10] [6, 10] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [6, 12, 10] [6, 10] denominator=, [6, 12, 11] [2, 12, 12] [2, 12] ----------- = ------- [6, 12, 11] [6, 11] [10, 12, 10] [10, 10] ------------ = -------- [6, 12, 11] [6, 11] [14, 12, 9] [14, 9] ----------- = ------- [6, 12, 11] [6, 11] [18, 12, 8] [18, 8] ----------- = ------- [6, 12, 11] [6, 11] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [6, 12, 11] [6, 11] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [6, 12, 11] [6, 11] [1, 15, 12, 4] [1, 15, 4] -------------- = ---------- [6, 12, 11] [6, 11] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [6, 12, 11] [6, 11] [2, 4, 12, 2] [2, 4, 2] ------------- = --------- [6, 12, 11] [6, 11] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [6, 12, 11] [6, 11] denominator=, [6, 12, 12] [16, 12, 11] [16, 11] ------------ = -------- [6, 12, 12] [6, 12] [1, 17, 12, 9] [1, 17, 9] -------------- = ---------- [6, 12, 12] [6, 12] [2, 18, 12, 7] [2, 18, 7] -------------- = ---------- [6, 12, 12] [6, 12] [4, 0, 12, 5] [4, 0, 5] ------------- = --------- [6, 12, 12] [6, 12] [5, 1, 12, 3] [5, 1, 3] ------------- = --------- [6, 12, 12] [6, 12] [6, 2, 12, 1] [6, 2, 1] ------------- = --------- [6, 12, 12] [6, 12] denominator=, [6, 16, 14] [1, 18, 16, 1] [1, 18, 1] -------------- = ---------- [6, 16, 14] [6, 14] denominator=, [6, 16, 16] [1, 18, 16, 12] [1, 18, 12] --------------- = ----------- [6, 16, 16] [6, 16] [5, 4, 16, 4] [5, 4, 4] ------------- = --------- [6, 16, 16] [6, 16] denominator=, [6, 17, 16] [1, 12, 17, 9] [1, 12, 9] -------------- = ---------- [6, 17, 16] [6, 16] [2, 18, 17, 2] [2, 18, 2] -------------- = ---------- [6, 17, 16] [6, 16] denominator=, [6, 18, 5] [18, 17] [17] ---------- = ------ [6, 18, 5] [6, 5] [1, 18, 15] [1, 15] ----------- = ------- [6, 18, 5] [6, 5] [2, 18, 13] [2, 13] ----------- = ------- [6, 18, 5] [6, 5] [3, 18, 11] [3, 11] ----------- = ------- [6, 18, 5] [6, 5] [4, 18, 9] [4, 9] ---------- = ------ [6, 18, 5] [6, 5] [5, 18, 7] [5, 7] ---------- = ------ [6, 18, 5] [6, 5] [7, 18, 3] [7, 3] ---------- = ------ [6, 18, 5] [6, 5] [8, 18, 1] [8, 1] ---------- = ------ [6, 18, 5] [6, 5] denominator=, [7, 6, 5] [18, 6, 3] [18, 3] ---------- = ------- [7, 6, 5] [7, 5] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 9, 5] [2, 9, 8] [2, 8] --------- = ------ [7, 9, 5] [7, 5] [12, 9, 2] [12, 2] ---------- = ------- [7, 9, 5] [7, 5] denominator=, [7, 9, 7] [1, 9, 9] [1, 9] --------- = ------ [7, 9, 7] [7, 7] [4, 9, 8] [4, 8] --------- = ------ [7, 9, 7] [7, 7] [10, 9, 6] [10, 6] ---------- = ------- [7, 9, 7] [7, 7] [13, 9, 5] [13, 5] ---------- = ------- [7, 9, 7] [7, 7] [16, 9, 4] [16, 4] ---------- = ------- [7, 9, 7] [7, 7] [1, 0, 9, 3] [1, 0, 3] ------------ = --------- [7, 9, 7] [7, 7] [1, 6, 9, 1] [1, 6, 1] ------------ = --------- [7, 9, 7] [7, 7] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [7, 9, 7] [7, 7] denominator=, [7, 9, 8] [2, 9, 9] [2, 9] --------- = ------ [7, 9, 8] [7, 8] [12, 9, 7] [12, 7] ---------- = ------- [7, 9, 8] [7, 8] [17, 9, 6] [17, 6] ---------- = ------- [7, 9, 8] [7, 8] [1, 8, 9, 4] [1, 8, 4] ------------ = --------- [7, 9, 8] [7, 8] [1, 13, 9, 3] [1, 13, 3] ------------- = ---------- [7, 9, 8] [7, 8] [2, 4, 9, 1] [2, 4, 1] ------------ = --------- [7, 9, 8] [7, 8] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [7, 9, 8] [7, 8] denominator=, [7, 10, 9] [2, 3, 10, 2] [2, 3, 2] ------------- = --------- [7, 10, 9] [7, 9] denominator=, [7, 14, 12] [1, 2, 14, 7] [1, 2, 7] ------------- = --------- [7, 14, 12] [7, 12] [1, 16, 14, 2] [1, 16, 2] -------------- = ---------- [7, 14, 12] [7, 12] denominator=, [7, 14, 13] [2, 4, 14, 5] [2, 4, 5] ------------- = --------- [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [17, 14, 13] [17, 13] ------------ = -------- [7, 14, 14] [7, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [1, 18, 14, 11] [1, 18, 11] --------------- = ----------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 0, 14, 9] [3, 0, 9] ------------- = --------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 2, 14, 5] [5, 2, 5] ------------- = --------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 3, 14, 3] [6, 3, 3] ------------- = --------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] [7, 4, 14, 1] [7, 4, 1] ------------- = --------- [7, 14, 14] [7, 14] denominator=, [7, 18, 1] [3, 18, 10] [3, 10] ----------- = ------- [7, 18, 1] [7, 1] denominator=, [7, 18, 3] [18, 17] [17] ---------- = ------ [7, 18, 3] [7, 3] [1, 18, 15] [1, 15] ----------- = ------- [7, 18, 3] [7, 3] [2, 18, 13] [2, 13] ----------- = ------- [7, 18, 3] [7, 3] [3, 18, 11] [3, 11] ----------- = ------- [7, 18, 3] [7, 3] [4, 18, 9] [4, 9] ---------- = ------ [7, 18, 3] [7, 3] [5, 18, 7] [5, 7] ---------- = ------ [7, 18, 3] [7, 3] [6, 18, 5] [6, 5] ---------- = ------ [7, 18, 3] [7, 3] [8, 18, 1] [8, 1] ---------- = ------ [7, 18, 3] [7, 3] denominator=, [7, 18, 5] [3, 18, 12] [3, 12] ----------- = ------- [7, 18, 5] [7, 5] denominator=, [7, 18, 7] [1, 18, 16] [1, 16] ----------- = ------- [7, 18, 7] [7, 7] [3, 18, 13] [3, 13] ----------- = ------- [7, 18, 7] [7, 7] [5, 18, 10] [5, 10] ----------- = ------- [7, 18, 7] [7, 7] [9, 18, 4] [9, 4] ---------- = ------ [7, 18, 7] [7, 7] [11, 18, 1] [11, 1] ----------- = ------- [7, 18, 7] [7, 7] denominator=, [7, 18, 9] [3, 18, 14] [3, 14] ----------- = ------- [7, 18, 9] [7, 9] [11, 18, 4] [11, 4] ----------- = ------- [7, 18, 9] [7, 9] denominator=, [7, 18, 13] [3, 18, 16] [3, 16] ----------- = ------- [7, 18, 13] [7, 13] [11, 18, 10] [11, 10] ------------ = -------- [7, 18, 13] [7, 13] [1, 0, 18, 4] [1, 0, 4] ------------- = --------- [7, 18, 13] [7, 13] denominator=, [7, 18, 15] [1, 18, 18] [1, 18] ----------- = ------- [7, 18, 15] [7, 15] [3, 18, 17] [3, 17] ----------- = ------- [7, 18, 15] [7, 15] [5, 18, 16] [5, 16] ----------- = ------- [7, 18, 15] [7, 15] [9, 18, 14] [9, 14] ----------- = ------- [7, 18, 15] [7, 15] [11, 18, 13] [11, 13] ------------ = -------- [7, 18, 15] [7, 15] [13, 18, 12] [13, 12] ------------ = -------- [7, 18, 15] [7, 15] [17, 18, 10] [17, 10] ------------ = -------- [7, 18, 15] [7, 15] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [7, 18, 15] [7, 15] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [7, 18, 15] [7, 15] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [7, 18, 15] [7, 15] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [7, 18, 15] [7, 15] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [7, 18, 15] [7, 15] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [7, 18, 15] [7, 15] [1, 16, 18, 1] [1, 16, 1] -------------- = ---------- [7, 18, 15] [7, 15] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [7, 18, 15] [7, 15] denominator=, [7, 18, 17] [3, 18, 18] [3, 18] ----------- = ------- [7, 18, 17] [7, 17] [11, 18, 16] [11, 16] ------------ = -------- [7, 18, 17] [7, 17] [1, 0, 18, 14] [1, 0, 14] -------------- = ---------- [7, 18, 17] [7, 17] [1, 8, 18, 12] [1, 8, 12] -------------- = ---------- [7, 18, 17] [7, 17] [1, 16, 18, 10] [1, 16, 10] --------------- = ----------- [7, 18, 17] [7, 17] [2, 5, 18, 8] [2, 5, 8] ------------- = --------- [7, 18, 17] [7, 17] [2, 13, 18, 6] [2, 13, 6] -------------- = ---------- [7, 18, 17] [7, 17] [3, 2, 18, 4] [3, 2, 4] ------------- = --------- [7, 18, 17] [7, 17] [3, 10, 18, 2] [3, 10, 2] -------------- = ---------- [7, 18, 17] [7, 17] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [7, 18, 17] [7, 17] denominator=, [8, 3, 2] [1, 3, 3] [1, 3] --------- = ------ [8, 3, 2] [8, 2] [15, 3, 1] [15, 1] ---------- = ------- [8, 3, 2] [8, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [8, 3, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 3] [3, 6, 5] [3, 5] --------- = ------ [8, 6, 3] [8, 3] [13, 6, 1] [13, 1] ---------- = ------- [8, 6, 3] [8, 3] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 10, 9] [1, 0, 10, 7] [1, 0, 7] ------------- = --------- [8, 10, 9] [8, 9] [1, 11, 10, 5] [1, 11, 5] -------------- = ---------- [8, 10, 9] [8, 9] [2, 3, 10, 3] [2, 3, 3] ------------- = --------- [8, 10, 9] [8, 9] [2, 14, 10, 1] [2, 14, 1] -------------- = ---------- [8, 10, 9] [8, 9] denominator=, [8, 12, 8] [1, 2, 12, 1] [1, 2, 1] ------------- = --------- [8, 12, 8] [8, 8] denominator=, [8, 12, 10] [1, 2, 12, 6] [1, 2, 6] ------------- = --------- [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [1, 2, 12, 11] [1, 2, 11] -------------- = ---------- [8, 12, 12] [8, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [3, 16, 12, 7] [3, 16, 7] -------------- = ---------- [8, 12, 12] [8, 12] [5, 4, 12, 5] [5, 4, 5] ------------- = --------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] [7, 18, 12, 1] [7, 18, 1] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 16, 12] [1, 9, 16, 1] [1, 9, 1] ------------- = --------- [8, 16, 12] [8, 12] denominator=, [8, 16, 13] [1, 5, 16, 6] [1, 5, 6] ------------- = --------- [8, 16, 13] [8, 13] denominator=, [8, 16, 14] [2, 10, 16, 1] [2, 10, 1] -------------- = ---------- [8, 16, 14] [8, 14] denominator=, [8, 16, 16] [18, 16, 15] [18, 15] ------------ = -------- [8, 16, 16] [8, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 0, 16, 13] [2, 0, 13] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 1, 16, 11] [3, 1, 11] -------------- = ---------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 2, 16, 9] [4, 2, 9] ------------- = --------- [8, 16, 16] [8, 16] [5, 3, 16, 7] [5, 3, 7] ------------- = --------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 4, 16, 5] [6, 4, 5] ------------- = --------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 5, 16, 3] [7, 5, 3] ------------- = --------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] [8, 6, 16, 1] [8, 6, 1] ------------- = --------- [8, 16, 16] [8, 16] denominator=, [8, 17, 16] [1, 12, 17, 11] [1, 12, 11] --------------- = ----------- [8, 17, 16] [8, 16] [2, 16, 17, 6] [2, 16, 6] -------------- = ---------- [8, 17, 16] [8, 16] [4, 1, 17, 1] [4, 1, 1] ------------- = --------- [8, 17, 16] [8, 16] denominator=, [8, 18, 1] [18, 17] [17] ---------- = ------ [8, 18, 1] [8, 1] [1, 18, 15] [1, 15] ----------- = ------- [8, 18, 1] [8, 1] [2, 18, 13] [2, 13] ----------- = ------- [8, 18, 1] [8, 1] [3, 18, 11] [3, 11] ----------- = ------- [8, 18, 1] [8, 1] [4, 18, 9] [4, 9] ---------- = ------ [8, 18, 1] [8, 1] [5, 18, 7] [5, 7] ---------- = ------ [8, 18, 1] [8, 1] [6, 18, 5] [6, 5] ---------- = ------ [8, 18, 1] [8, 1] [7, 18, 3] [7, 3] ---------- = ------ [8, 18, 1] [8, 1] denominator=, [8, 18, 4] [2, 18, 14] [2, 14] ----------- = ------- [8, 18, 4] [8, 4] [5, 18, 9] [5, 9] ---------- = ------ [8, 18, 4] [8, 4] denominator=, [8, 18, 7] [2, 18, 15] [2, 15] ----------- = ------- [8, 18, 7] [8, 7] [5, 18, 11] [5, 11] ----------- = ------- [8, 18, 7] [8, 7] [11, 18, 3] [11, 3] ----------- = ------- [8, 18, 7] [8, 7] denominator=, [8, 18, 13] [2, 18, 17] [2, 17] ----------- = ------- [8, 18, 13] [8, 13] [5, 18, 15] [5, 15] ----------- = ------- [8, 18, 13] [8, 13] [11, 18, 11] [11, 11] ------------ = -------- [8, 18, 13] [8, 13] [14, 18, 9] [14, 9] ----------- = ------- [8, 18, 13] [8, 13] [1, 1, 18, 5] [1, 1, 5] ------------- = --------- [8, 18, 13] [8, 13] [1, 4, 18, 3] [1, 4, 3] ------------- = --------- [8, 18, 13] [8, 13] denominator=, [8, 18, 16] [2, 18, 18] [2, 18] ----------- = ------- [8, 18, 16] [8, 16] [5, 18, 17] [5, 17] ----------- = ------- [8, 18, 16] [8, 16] [11, 18, 15] [11, 15] ------------ = -------- [8, 18, 16] [8, 16] [14, 18, 14] [14, 14] ------------ = -------- [8, 18, 16] [8, 16] [1, 1, 18, 12] [1, 1, 12] -------------- = ---------- [8, 18, 16] [8, 16] [1, 4, 18, 11] [1, 4, 11] -------------- = ---------- [8, 18, 16] [8, 16] [1, 10, 18, 9] [1, 10, 9] -------------- = ---------- [8, 18, 16] [8, 16] [1, 13, 18, 8] [1, 13, 8] -------------- = ---------- [8, 18, 16] [8, 16] [2, 0, 18, 6] [2, 0, 6] ------------- = --------- [8, 18, 16] [8, 16] [2, 3, 18, 5] [2, 3, 5] ------------- = --------- [8, 18, 16] [8, 16] [2, 9, 18, 3] [2, 9, 3] ------------- = --------- [8, 18, 16] [8, 16] [2, 12, 18, 2] [2, 12, 2] -------------- = ---------- [8, 18, 16] [8, 16] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [8, 18, 16] [8, 16] denominator=, [9, 6, 1] [2, 6, 5] [2, 5] --------- = ------ [9, 6, 1] [9, 1] denominator=, [9, 6, 4] [1, 6, 6] [1, 6] --------- = ------ [9, 6, 4] [9, 4] [5, 6, 5] [5, 5] --------- = ------ [9, 6, 4] [9, 4] [13, 6, 3] [13, 3] ---------- = ------- [9, 6, 4] [9, 4] [17, 6, 2] [17, 2] ---------- = ------- [9, 6, 4] [9, 4] [1, 2, 6, 1] [1, 2, 1] ------------ = --------- [9, 6, 4] [9, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [9, 6, 4] [9, 4] denominator=, [9, 6, 5] [2, 6, 6] [2, 6] --------- = ------ [9, 6, 5] [9, 5] [16, 6, 4] [16, 4] ---------- = ------- [9, 6, 5] [9, 5] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [9, 6, 5] [9, 5] [1, 11, 6, 2] [1, 11, 2] ------------- = ---------- [9, 6, 5] [9, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [9, 6, 5] [9, 5] denominator=, [9, 10, 9] [2, 14, 10, 2] [2, 14, 2] -------------- = ---------- [9, 10, 9] [9, 9] denominator=, [9, 13, 11] [1, 15, 13, 4] [1, 15, 4] -------------- = ---------- [9, 13, 11] [9, 11] denominator=, [9, 14, 13] [1, 1, 14, 11] [1, 1, 11] -------------- = ---------- [9, 14, 13] [9, 13] [1, 12, 14, 9] [1, 12, 9] -------------- = ---------- [9, 14, 13] [9, 13] [2, 4, 14, 7] [2, 4, 7] ------------- = --------- [9, 14, 13] [9, 13] [2, 15, 14, 5] [2, 15, 5] -------------- = ---------- [9, 14, 13] [9, 13] [3, 7, 14, 3] [3, 7, 3] ------------- = --------- [9, 14, 13] [9, 13] [3, 18, 14, 1] [3, 18, 1] -------------- = ---------- [9, 14, 13] [9, 13] denominator=, [9, 18, 1] [4, 18, 10] [4, 10] ----------- = ------- [9, 18, 1] [9, 1] denominator=, [9, 18, 3] [4, 18, 11] [4, 11] ----------- = ------- [9, 18, 3] [9, 3] denominator=, [9, 18, 4] [1, 18, 16] [1, 16] ----------- = ------- [9, 18, 4] [9, 4] [3, 18, 13] [3, 13] ----------- = ------- [9, 18, 4] [9, 4] [5, 18, 10] [5, 10] ----------- = ------- [9, 18, 4] [9, 4] [7, 18, 7] [7, 7] ---------- = ------ [9, 18, 4] [9, 4] [11, 18, 1] [11, 1] ----------- = ------- [9, 18, 4] [9, 4] denominator=, [9, 18, 5] [4, 18, 12] [4, 12] ----------- = ------- [9, 18, 5] [9, 5] denominator=, [9, 18, 7] [4, 18, 13] [4, 13] ----------- = ------- [9, 18, 7] [9, 7] [14, 18, 1] [14, 1] ----------- = ------- [9, 18, 7] [9, 7] denominator=, [9, 18, 11] [4, 18, 15] [4, 15] ----------- = ------- [9, 18, 11] [9, 11] [14, 18, 7] [14, 7] ----------- = ------- [9, 18, 11] [9, 11] denominator=, [9, 18, 13] [4, 18, 16] [4, 16] ----------- = ------- [9, 18, 13] [9, 13] [14, 18, 10] [14, 10] ------------ = -------- [9, 18, 13] [9, 13] [1, 5, 18, 4] [1, 5, 4] ------------- = --------- [9, 18, 13] [9, 13] denominator=, [9, 18, 14] [1, 18, 18] [1, 18] ----------- = ------- [9, 18, 14] [9, 14] [3, 18, 17] [3, 17] ----------- = ------- [9, 18, 14] [9, 14] [5, 18, 16] [5, 16] ----------- = ------- [9, 18, 14] [9, 14] [7, 18, 15] [7, 15] ----------- = ------- [9, 18, 14] [9, 14] [11, 18, 13] [11, 13] ------------ = -------- [9, 18, 14] [9, 14] [13, 18, 12] [13, 12] ------------ = -------- [9, 18, 14] [9, 14] [15, 18, 11] [15, 11] ------------ = -------- [9, 18, 14] [9, 14] [17, 18, 10] [17, 10] ------------ = -------- [9, 18, 14] [9, 14] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [9, 18, 14] [9, 14] [1, 4, 18, 7] [1, 4, 7] ------------- = --------- [9, 18, 14] [9, 14] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [9, 18, 14] [9, 14] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [9, 18, 14] [9, 14] [1, 12, 18, 3] [1, 12, 3] -------------- = ---------- [9, 18, 14] [9, 14] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [9, 18, 14] [9, 14] [1, 16, 18, 1] [1, 16, 1] -------------- = ---------- [9, 18, 14] [9, 14] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [9, 18, 14] [9, 14] denominator=, [9, 18, 15] [4, 18, 17] [4, 17] ----------- = ------- [9, 18, 15] [9, 15] [14, 18, 13] [14, 13] ------------ = -------- [9, 18, 15] [9, 15] [1, 5, 18, 9] [1, 5, 9] ------------- = --------- [9, 18, 15] [9, 15] [1, 15, 18, 5] [1, 15, 5] -------------- = ---------- [9, 18, 15] [9, 15] [2, 6, 18, 1] [2, 6, 1] ------------- = --------- [9, 18, 15] [9, 15] denominator=, [9, 18, 17] [4, 18, 18] [4, 18] ----------- = ------- [9, 18, 17] [9, 17] [14, 18, 16] [14, 16] ------------ = -------- [9, 18, 17] [9, 17] [1, 5, 18, 14] [1, 5, 14] -------------- = ---------- [9, 18, 17] [9, 17] [1, 15, 18, 12] [1, 15, 12] --------------- = ----------- [9, 18, 17] [9, 17] [2, 6, 18, 10] [2, 6, 10] -------------- = ---------- [9, 18, 17] [9, 17] [2, 16, 18, 8] [2, 16, 8] -------------- = ---------- [9, 18, 17] [9, 17] [3, 7, 18, 6] [3, 7, 6] ------------- = --------- [9, 18, 17] [9, 17] [3, 17, 18, 4] [3, 17, 4] -------------- = ---------- [9, 18, 17] [9, 17] [4, 8, 18, 2] [4, 8, 2] ------------- = --------- [9, 18, 17] [9, 17] [4, 18, 18, 0] [4, 18, 0] -------------- = ---------- [9, 18, 17] [9, 17] denominator=, [10, 4, 4] [2, 18, 4, 3] [2, 18, 3] ------------- = ---------- [10, 4, 4] [10, 4] [7, 15, 4, 1] [7, 15, 1] ------------- = ---------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [3, 0, 8, 6] [3, 0, 6] ------------ = --------- [10, 8, 8] [10, 8] [7, 18, 8, 2] [7, 18, 2] ------------- = ---------- [10, 8, 8] [10, 8] denominator=, [10, 9, 2] [3, 9, 7] [3, 7] ---------- = ------- [10, 9, 2] [10, 2] denominator=, [10, 9, 5] [3, 9, 8] [3, 8] ---------- = ------- [10, 9, 5] [10, 5] [17, 9, 2] [17, 2] ---------- = ------- [10, 9, 5] [10, 5] denominator=, [10, 9, 6] [1, 9, 9] [1, 9] ---------- = ------- [10, 9, 6] [10, 6] [4, 9, 8] [4, 8] ---------- = ------- [10, 9, 6] [10, 6] [7, 9, 7] [7, 7] ---------- = ------- [10, 9, 6] [10, 6] [13, 9, 5] [13, 5] ---------- = ------- [10, 9, 6] [10, 6] [16, 9, 4] [16, 4] ---------- = ------- [10, 9, 6] [10, 6] [1, 0, 9, 3] [1, 0, 3] ------------ = --------- [10, 9, 6] [10, 6] [1, 3, 9, 2] [1, 3, 2] ------------ = --------- [10, 9, 6] [10, 6] [1, 6, 9, 1] [1, 6, 1] ------------ = --------- [10, 9, 6] [10, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [10, 9, 6] [10, 6] denominator=, [10, 9, 8] [3, 9, 9] [3, 9] ---------- = ------- [10, 9, 8] [10, 8] [17, 9, 7] [17, 7] ---------- = ------- [10, 9, 8] [10, 8] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [10, 9, 8] [10, 8] [2, 0, 9, 4] [2, 0, 4] ------------ = --------- [10, 9, 8] [10, 8] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [10, 9, 8] [10, 8] [3, 2, 9, 1] [3, 2, 1] ------------ = --------- [10, 9, 8] [10, 8] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [10, 9, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 12, 6] [2, 12, 11] [2, 11] ----------- = ------- [10, 12, 6] [10, 6] [18, 12, 1] [18, 1] ----------- = ------- [10, 12, 6] [10, 6] denominator=, [10, 12, 8] [1, 7, 12, 1] [1, 7, 1] ------------- = --------- [10, 12, 8] [10, 8] denominator=, [10, 12, 10] [2, 12, 12] [2, 12] ------------ = -------- [10, 12, 10] [10, 10] [6, 12, 11] [6, 11] ------------ = -------- [10, 12, 10] [10, 10] [14, 12, 9] [14, 9] ------------ = -------- [10, 12, 10] [10, 10] [18, 12, 8] [18, 8] ------------ = -------- [10, 12, 10] [10, 10] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [10, 12, 10] [10, 10] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [10, 12, 10] [10, 10] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [10, 12, 10] [10, 10] [1, 15, 12, 4] [1, 15, 4] -------------- = ---------- [10, 12, 10] [10, 10] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [10, 12, 10] [10, 10] [2, 8, 12, 1] [2, 8, 1] ------------- = --------- [10, 12, 10] [10, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [10, 12, 10] [10, 10] denominator=, [10, 12, 12] [1, 7, 12, 11] [1, 7, 11] -------------- = ---------- [10, 12, 12] [10, 12] [3, 1, 12, 9] [3, 1, 9] ------------- = --------- [10, 12, 12] [10, 12] [4, 14, 12, 7] [4, 14, 7] -------------- = ---------- [10, 12, 12] [10, 12] [6, 8, 12, 5] [6, 8, 5] ------------- = --------- [10, 12, 12] [10, 12] [8, 2, 12, 3] [8, 2, 3] ------------- = --------- [10, 12, 12] [10, 12] [9, 15, 12, 1] [9, 15, 1] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 15, 10] [1, 4, 15, 3] [1, 4, 3] ------------- = --------- [10, 15, 10] [10, 10] denominator=, [10, 15, 15] [1, 4, 15, 14] [1, 4, 14] -------------- = ---------- [10, 15, 15] [10, 15] [1, 17, 15, 13] [1, 17, 13] --------------- = ----------- [10, 15, 15] [10, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [3, 5, 15, 11] [3, 5, 11] -------------- = ---------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [5, 6, 15, 8] [5, 6, 8] ------------- = --------- [10, 15, 15] [10, 15] [6, 0, 15, 7] [6, 0, 7] ------------- = --------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 1, 15, 4] [8, 1, 4] ------------- = --------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] [9, 8, 15, 2] [9, 8, 2] ------------- = --------- [10, 15, 15] [10, 15] [10, 2, 15, 1] [10, 2, 1] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 13] [1, 5, 16, 8] [1, 5, 8] ------------- = --------- [10, 16, 13] [10, 13] [2, 0, 16, 3] [2, 0, 3] ------------- = --------- [10, 16, 13] [10, 13] denominator=, [10, 16, 14] [3, 2, 16, 1] [3, 2, 1] ------------- = --------- [10, 16, 14] [10, 14] denominator=, [10, 16, 16] [3, 2, 16, 12] [3, 2, 12] -------------- = ---------- [10, 16, 16] [10, 16] [8, 5, 16, 4] [8, 5, 4] ------------- = --------- [10, 16, 16] [10, 16] denominator=, [11, 2, 1] [1, 2, 2] [1, 2] ---------- = ------- [11, 2, 1] [11, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [11, 2, 1] [11, 1] denominator=, [11, 6, 5] [1, 9, 6, 3] [1, 9, 3] ------------ = --------- [11, 6, 5] [11, 5] denominator=, [11, 7, 6] [2, 14, 7, 1] [2, 14, 1] ------------- = ---------- [11, 7, 6] [11, 6] denominator=, [11, 10, 7] [1, 5, 10, 3] [1, 5, 3] ------------- = --------- [11, 10, 7] [11, 7] denominator=, [11, 10, 9] [3, 6, 10, 2] [3, 6, 2] ------------- = --------- [11, 10, 9] [11, 9] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 6] [4, 12, 10] [4, 10] ----------- = ------- [11, 12, 6] [11, 6] [18, 12, 2] [18, 2] ----------- = ------- [11, 12, 6] [11, 6] denominator=, [11, 12, 8] [1, 12, 12] [1, 12] ----------- = ------- [11, 12, 8] [11, 8] [6, 12, 10] [6, 10] ----------- = ------- [11, 12, 8] [11, 8] [16, 12, 6] [16, 6] ----------- = ------- [11, 12, 8] [11, 8] [1, 2, 12, 4] [1, 2, 4] ------------- = --------- [11, 12, 8] [11, 8] [1, 7, 12, 2] [1, 7, 2] ------------- = --------- [11, 12, 8] [11, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [11, 12, 8] [11, 8] denominator=, [11, 12, 11] [4, 12, 12] [4, 12] ------------ = -------- [11, 12, 11] [11, 11] [18, 12, 10] [18, 10] ------------ = -------- [11, 12, 11] [11, 11] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [11, 12, 11] [11, 11] [1, 13, 12, 8] [1, 13, 8] -------------- = ---------- [11, 12, 11] [11, 11] [2, 1, 12, 7] [2, 1, 7] ------------- = --------- [11, 12, 11] [11, 11] [2, 15, 12, 5] [2, 15, 5] -------------- = ---------- [11, 12, 11] [11, 11] [3, 3, 12, 4] [3, 3, 4] ------------- = --------- [11, 12, 11] [11, 11] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [11, 12, 11] [11, 11] [3, 17, 12, 2] [3, 17, 2] -------------- = ---------- [11, 12, 11] [11, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [11, 12, 11] [11, 11] denominator=, [11, 14, 13] [3, 7, 14, 5] [3, 7, 5] ------------- = --------- [11, 14, 13] [11, 13] denominator=, [11, 17, 16] [2, 16, 17, 9] [2, 16, 9] -------------- = ---------- [11, 17, 16] [11, 16] [5, 2, 17, 2] [5, 2, 2] ------------- = --------- [11, 17, 16] [11, 16] denominator=, [11, 18, 1] [1, 18, 16] [1, 16] ----------- = ------- [11, 18, 1] [11, 1] [3, 18, 13] [3, 13] ----------- = ------- [11, 18, 1] [11, 1] [5, 18, 10] [5, 10] ----------- = ------- [11, 18, 1] [11, 1] [7, 18, 7] [7, 7] ----------- = ------- [11, 18, 1] [11, 1] [9, 18, 4] [9, 4] ----------- = ------- [11, 18, 1] [11, 1] denominator=, [11, 18, 3] [2, 18, 15] [2, 15] ----------- = ------- [11, 18, 3] [11, 3] [5, 18, 11] [5, 11] ----------- = ------- [11, 18, 3] [11, 3] [8, 18, 7] [8, 7] ----------- = ------- [11, 18, 3] [11, 3] denominator=, [11, 18, 4] [3, 18, 14] [3, 14] ----------- = ------- [11, 18, 4] [11, 4] [7, 18, 9] [7, 9] ----------- = ------- [11, 18, 4] [11, 4] denominator=, [11, 18, 5] [5, 18, 12] [5, 12] ----------- = ------- [11, 18, 5] [11, 5] denominator=, [11, 18, 9] [5, 18, 14] [5, 14] ----------- = ------- [11, 18, 9] [11, 9] [17, 18, 4] [17, 4] ----------- = ------- [11, 18, 9] [11, 9] denominator=, [11, 18, 10] [3, 18, 16] [3, 16] ------------ = -------- [11, 18, 10] [11, 10] [7, 18, 13] [7, 13] ------------ = -------- [11, 18, 10] [11, 10] [15, 18, 7] [15, 7] ------------ = -------- [11, 18, 10] [11, 10] [1, 0, 18, 4] [1, 0, 4] ------------- = --------- [11, 18, 10] [11, 10] denominator=, [11, 18, 11] [2, 18, 17] [2, 17] ------------ = -------- [11, 18, 11] [11, 11] [5, 18, 15] [5, 15] ------------ = -------- [11, 18, 11] [11, 11] [8, 18, 13] [8, 13] ------------ = -------- [11, 18, 11] [11, 11] [14, 18, 9] [14, 9] ------------ = -------- [11, 18, 11] [11, 11] [17, 18, 7] [17, 7] ------------ = -------- [11, 18, 11] [11, 11] [1, 1, 18, 5] [1, 1, 5] ------------- = --------- [11, 18, 11] [11, 11] [1, 7, 18, 1] [1, 7, 1] ------------- = --------- [11, 18, 11] [11, 11] denominator=, [11, 18, 13] [1, 18, 18] [1, 18] ------------ = -------- [11, 18, 13] [11, 13] [3, 18, 17] [3, 17] ------------ = -------- [11, 18, 13] [11, 13] [5, 18, 16] [5, 16] ------------ = -------- [11, 18, 13] [11, 13] [7, 18, 15] [7, 15] ------------ = -------- [11, 18, 13] [11, 13] [9, 18, 14] [9, 14] ------------ = -------- [11, 18, 13] [11, 13] [13, 18, 12] [13, 12] ------------ = -------- [11, 18, 13] [11, 13] [15, 18, 11] [15, 11] ------------ = -------- [11, 18, 13] [11, 13] [17, 18, 10] [17, 10] ------------ = -------- [11, 18, 13] [11, 13] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [11, 18, 13] [11, 13] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [11, 18, 13] [11, 13] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [11, 18, 13] [11, 13] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [11, 18, 13] [11, 13] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [11, 18, 13] [11, 13] [1, 12, 18, 3] [1, 12, 3] -------------- = ---------- [11, 18, 13] [11, 13] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [11, 18, 13] [11, 13] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [11, 18, 13] [11, 13] denominator=, [11, 18, 15] [2, 18, 18] [2, 18] ------------ = -------- [11, 18, 15] [11, 15] [5, 18, 17] [5, 17] ------------ = -------- [11, 18, 15] [11, 15] [8, 18, 16] [8, 16] ------------ = -------- [11, 18, 15] [11, 15] [14, 18, 14] [14, 14] ------------ = -------- [11, 18, 15] [11, 15] [17, 18, 13] [17, 13] ------------ = -------- [11, 18, 15] [11, 15] [1, 1, 18, 12] [1, 1, 12] -------------- = ---------- [11, 18, 15] [11, 15] [1, 7, 18, 10] [1, 7, 10] -------------- = ---------- [11, 18, 15] [11, 15] [1, 10, 18, 9] [1, 10, 9] -------------- = ---------- [11, 18, 15] [11, 15] [1, 13, 18, 8] [1, 13, 8] -------------- = ---------- [11, 18, 15] [11, 15] [2, 0, 18, 6] [2, 0, 6] ------------- = --------- [11, 18, 15] [11, 15] [2, 3, 18, 5] [2, 3, 5] ------------- = --------- [11, 18, 15] [11, 15] [2, 6, 18, 4] [2, 6, 4] ------------- = --------- [11, 18, 15] [11, 15] [2, 12, 18, 2] [2, 12, 2] -------------- = ---------- [11, 18, 15] [11, 15] [2, 15, 18, 1] [2, 15, 1] -------------- = ---------- [11, 18, 15] [11, 15] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [11, 18, 15] [11, 15] denominator=, [11, 18, 16] [3, 18, 18] [3, 18] ------------ = -------- [11, 18, 16] [11, 16] [7, 18, 17] [7, 17] ------------ = -------- [11, 18, 16] [11, 16] [15, 18, 15] [15, 15] ------------ = -------- [11, 18, 16] [11, 16] [1, 0, 18, 14] [1, 0, 14] -------------- = ---------- [11, 18, 16] [11, 16] [1, 8, 18, 12] [1, 8, 12] -------------- = ---------- [11, 18, 16] [11, 16] [1, 12, 18, 11] [1, 12, 11] --------------- = ----------- [11, 18, 16] [11, 16] [2, 1, 18, 9] [2, 1, 9] ------------- = --------- [11, 18, 16] [11, 16] [2, 5, 18, 8] [2, 5, 8] ------------- = --------- [11, 18, 16] [11, 16] [2, 13, 18, 6] [2, 13, 6] -------------- = ---------- [11, 18, 16] [11, 16] [2, 17, 18, 5] [2, 17, 5] -------------- = ---------- [11, 18, 16] [11, 16] [3, 6, 18, 3] [3, 6, 3] ------------- = --------- [11, 18, 16] [11, 16] [3, 10, 18, 2] [3, 10, 2] -------------- = ---------- [11, 18, 16] [11, 16] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [11, 18, 16] [11, 16] denominator=, [11, 18, 17] [5, 18, 18] [5, 18] ------------ = -------- [11, 18, 17] [11, 17] [17, 18, 16] [17, 16] ------------ = -------- [11, 18, 17] [11, 17] [1, 10, 18, 14] [1, 10, 14] --------------- = ----------- [11, 18, 17] [11, 17] [2, 3, 18, 12] [2, 3, 12] -------------- = ---------- [11, 18, 17] [11, 17] [2, 15, 18, 10] [2, 15, 10] --------------- = ----------- [11, 18, 17] [11, 17] [3, 8, 18, 8] [3, 8, 8] ------------- = --------- [11, 18, 17] [11, 17] [4, 1, 18, 6] [4, 1, 6] ------------- = --------- [11, 18, 17] [11, 17] [4, 13, 18, 4] [4, 13, 4] -------------- = ---------- [11, 18, 17] [11, 17] [5, 6, 18, 2] [5, 6, 2] ------------- = --------- [11, 18, 17] [11, 17] [5, 18, 18, 0] [5, 18, 0] -------------- = ---------- [11, 18, 17] [11, 17] denominator=, [12, 4, 2] [1, 4, 4] [1, 4] ---------- = ------- [12, 4, 2] [12, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [12, 4, 2] [12, 2] denominator=, [12, 4, 3] [2, 4, 4] [2, 4] ---------- = ------- [12, 4, 3] [12, 3] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [12, 4, 3] [12, 3] [1, 13, 4, 1] [1, 13, 1] ------------- = ---------- [12, 4, 3] [12, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [12, 4, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 8, 8] [2, 2, 8, 7] [2, 2, 7] ------------ = --------- [12, 8, 8] [12, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [5, 1, 8, 5] [5, 1, 5] ------------ = --------- [12, 8, 8] [12, 8] [8, 0, 8, 3] [8, 0, 3] ------------ = --------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] [10, 18, 8, 1] [10, 18, 1] -------------- = ----------- [12, 8, 8] [12, 8] denominator=, [12, 9, 2] [2, 9, 8] [2, 8] ---------- = ------- [12, 9, 2] [12, 2] [7, 9, 5] [7, 5] ---------- = ------- [12, 9, 2] [12, 2] denominator=, [12, 9, 7] [2, 9, 9] [2, 9] ---------- = ------- [12, 9, 7] [12, 7] [7, 9, 8] [7, 8] ---------- = ------- [12, 9, 7] [12, 7] [17, 9, 6] [17, 6] ---------- = ------- [12, 9, 7] [12, 7] [1, 3, 9, 5] [1, 3, 5] ------------ = --------- [12, 9, 7] [12, 7] [1, 8, 9, 4] [1, 8, 4] ------------ = --------- [12, 9, 7] [12, 7] [1, 13, 9, 3] [1, 13, 3] ------------- = ---------- [12, 9, 7] [12, 7] [2, 4, 9, 1] [2, 4, 1] ------------ = --------- [12, 9, 7] [12, 7] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [12, 9, 7] [12, 7] denominator=, [12, 12, 8] [1, 12, 12, 1] [1, 12, 1] -------------- = ---------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [1, 12, 12, 6] [1, 12, 6] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 12] [1, 16, 14, 7] [1, 16, 7] -------------- = ---------- [12, 14, 12] [12, 12] [3, 1, 14, 2] [3, 1, 2] ------------- = --------- [12, 14, 12] [12, 12] denominator=, [12, 15, 10] [1, 15, 15] [1, 15] ------------ = -------- [12, 15, 10] [12, 10] [1, 4, 15, 5] [1, 4, 5] ------------- = --------- [12, 15, 10] [12, 10] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [12, 15, 10] [12, 10] denominator=, [12, 15, 14] [5, 15, 15] [5, 15] ------------ = -------- [12, 15, 14] [12, 14] [1, 0, 15, 13] [1, 0, 13] -------------- = ---------- [12, 15, 14] [12, 14] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [12, 15, 14] [12, 14] [1, 14, 15, 11] [1, 14, 11] --------------- = ----------- [12, 15, 14] [12, 14] [2, 2, 15, 10] [2, 2, 10] -------------- = ---------- [12, 15, 14] [12, 14] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [12, 15, 14] [12, 14] [2, 16, 15, 8] [2, 16, 8] -------------- = ---------- [12, 15, 14] [12, 14] [3, 4, 15, 7] [3, 4, 7] ------------- = --------- [12, 15, 14] [12, 14] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [12, 15, 14] [12, 14] [3, 18, 15, 5] [3, 18, 5] -------------- = ---------- [12, 15, 14] [12, 14] [4, 6, 15, 4] [4, 6, 4] ------------- = --------- [12, 15, 14] [12, 14] [5, 1, 15, 2] [5, 1, 2] ------------- = --------- [12, 15, 14] [12, 14] [5, 8, 15, 1] [5, 8, 1] ------------- = --------- [12, 15, 14] [12, 14] [5, 15, 15, 0] [5, 15, 0] -------------- = ---------- [12, 15, 14] [12, 14] denominator=, [12, 16, 12] [2, 3, 16, 1] [2, 3, 1] ------------- = --------- [12, 16, 12] [12, 12] denominator=, [12, 16, 14] [3, 13, 16, 1] [3, 13, 1] -------------- = ---------- [12, 16, 14] [12, 14] denominator=, [12, 16, 16] [2, 3, 16, 14] [2, 3, 14] -------------- = ---------- [12, 16, 16] [12, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [5, 4, 16, 10] [5, 4, 10] -------------- = ---------- [12, 16, 16] [12, 16] [8, 5, 16, 6] [8, 5, 6] ------------- = --------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] [11, 6, 16, 2] [11, 6, 2] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [13, 6, 1] [3, 6, 5] [3, 5] ---------- = ------- [13, 6, 1] [13, 1] [8, 6, 3] [8, 3] ---------- = ------- [13, 6, 1] [13, 1] denominator=, [13, 6, 3] [1, 6, 6] [1, 6] ---------- = ------- [13, 6, 3] [13, 3] [5, 6, 5] [5, 5] ---------- = ------- [13, 6, 3] [13, 3] [9, 6, 4] [9, 4] ---------- = ------- [13, 6, 3] [13, 3] [17, 6, 2] [17, 2] ---------- = ------- [13, 6, 3] [13, 3] [1, 2, 6, 1] [1, 2, 1] ------------ = --------- [13, 6, 3] [13, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [13, 6, 3] [13, 3] denominator=, [13, 6, 5] [3, 6, 6] [3, 6] ---------- = ------- [13, 6, 5] [13, 5] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [13, 6, 5] [13, 5] [1, 14, 6, 3] [1, 14, 3] ------------- = ---------- [13, 6, 5] [13, 5] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [13, 6, 5] [13, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [13, 6, 5] [13, 5] denominator=, [13, 8, 6] [2, 8, 8] [2, 8] ---------- = ------- [13, 8, 6] [13, 6] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [13, 8, 6] [13, 6] [1, 16, 8, 2] [1, 16, 2] ------------- = ---------- [13, 8, 6] [13, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [13, 8, 6] [13, 6] denominator=, [13, 9, 2] [4, 9, 7] [4, 7] ---------- = ------- [13, 9, 2] [13, 2] denominator=, [13, 9, 5] [1, 9, 9] [1, 9] ---------- = ------- [13, 9, 5] [13, 5] [4, 9, 8] [4, 8] ---------- = ------- [13, 9, 5] [13, 5] [7, 9, 7] [7, 7] ---------- = ------- [13, 9, 5] [13, 5] [10, 9, 6] [10, 6] ---------- = ------- [13, 9, 5] [13, 5] [16, 9, 4] [16, 4] ---------- = ------- [13, 9, 5] [13, 5] [1, 0, 9, 3] [1, 0, 3] ------------ = --------- [13, 9, 5] [13, 5] [1, 3, 9, 2] [1, 3, 2] ------------ = --------- [13, 9, 5] [13, 5] [1, 6, 9, 1] [1, 6, 1] ------------ = --------- [13, 9, 5] [13, 5] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [13, 9, 5] [13, 5] denominator=, [13, 9, 8] [4, 9, 9] [4, 9] ---------- = ------- [13, 9, 8] [13, 8] [1, 3, 9, 7] [1, 3, 7] ------------ = --------- [13, 9, 8] [13, 8] [1, 12, 9, 6] [1, 12, 6] ------------- = ---------- [13, 9, 8] [13, 8] [2, 11, 9, 4] [2, 11, 4] ------------- = ---------- [13, 9, 8] [13, 8] [3, 1, 9, 3] [3, 1, 3] ------------ = --------- [13, 9, 8] [13, 8] [4, 0, 9, 1] [4, 0, 1] ------------ = --------- [13, 9, 8] [13, 8] [4, 9, 9, 0] [4, 9, 0] ------------ = --------- [13, 9, 8] [13, 8] denominator=, [13, 10, 9] [3, 17, 10, 2] [3, 17, 2] -------------- = ---------- [13, 10, 9] [13, 9] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 13] [2, 6, 14, 9] [2, 6, 9] ------------- = --------- [13, 14, 13] [13, 13] [3, 18, 14, 5] [3, 18, 5] -------------- = ---------- [13, 14, 13] [13, 13] [5, 11, 14, 1] [5, 11, 1] -------------- = ---------- [13, 14, 13] [13, 13] denominator=, [13, 16, 13] [2, 0, 16, 6] [2, 0, 6] ------------- = --------- [13, 16, 13] [13, 13] denominator=, [13, 18, 1] [6, 18, 10] [6, 10] ----------- = ------- [13, 18, 1] [13, 1] denominator=, [13, 18, 3] [6, 18, 11] [6, 11] ----------- = ------- [13, 18, 3] [13, 3] denominator=, [13, 18, 7] [6, 18, 13] [6, 13] ----------- = ------- [13, 18, 7] [13, 7] [1, 1, 18, 1] [1, 1, 1] ------------- = --------- [13, 18, 7] [13, 7] denominator=, [13, 18, 9] [6, 18, 14] [6, 14] ----------- = ------- [13, 18, 9] [13, 9] [1, 1, 18, 4] [1, 1, 4] ------------- = --------- [13, 18, 9] [13, 9] denominator=, [13, 18, 11] [6, 18, 15] [6, 15] ------------ = -------- [13, 18, 11] [13, 11] [1, 1, 18, 7] [1, 1, 7] ------------- = --------- [13, 18, 11] [13, 11] denominator=, [13, 18, 12] [1, 18, 18] [1, 18] ------------ = -------- [13, 18, 12] [13, 12] [3, 18, 17] [3, 17] ------------ = -------- [13, 18, 12] [13, 12] [5, 18, 16] [5, 16] ------------ = -------- [13, 18, 12] [13, 12] [7, 18, 15] [7, 15] ------------ = -------- [13, 18, 12] [13, 12] [9, 18, 14] [9, 14] ------------ = -------- [13, 18, 12] [13, 12] [11, 18, 13] [11, 13] ------------ = -------- [13, 18, 12] [13, 12] [15, 18, 11] [15, 11] ------------ = -------- [13, 18, 12] [13, 12] [17, 18, 10] [17, 10] ------------ = -------- [13, 18, 12] [13, 12] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [13, 18, 12] [13, 12] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [13, 18, 12] [13, 12] [1, 4, 18, 7] [1, 4, 7] ------------- = --------- [13, 18, 12] [13, 12] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [13, 18, 12] [13, 12] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [13, 18, 12] [13, 12] [1, 12, 18, 3] [1, 12, 3] -------------- = ---------- [13, 18, 12] [13, 12] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [13, 18, 12] [13, 12] [1, 16, 18, 1] [1, 16, 1] -------------- = ---------- [13, 18, 12] [13, 12] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [13, 18, 12] [13, 12] denominator=, [13, 18, 13] [6, 18, 16] [6, 16] ------------ = -------- [13, 18, 13] [13, 13] [1, 1, 18, 10] [1, 1, 10] -------------- = ---------- [13, 18, 13] [13, 13] [1, 15, 18, 4] [1, 15, 4] -------------- = ---------- [13, 18, 13] [13, 13] denominator=, [13, 18, 15] [6, 18, 17] [6, 17] ------------ = -------- [13, 18, 15] [13, 15] [1, 1, 18, 13] [1, 1, 13] -------------- = ---------- [13, 18, 15] [13, 15] [1, 15, 18, 9] [1, 15, 9] -------------- = ---------- [13, 18, 15] [13, 15] [2, 10, 18, 5] [2, 10, 5] -------------- = ---------- [13, 18, 15] [13, 15] [3, 5, 18, 1] [3, 5, 1] ------------- = --------- [13, 18, 15] [13, 15] denominator=, [13, 18, 17] [6, 18, 18] [6, 18] ------------ = -------- [13, 18, 17] [13, 17] [1, 1, 18, 16] [1, 1, 16] -------------- = ---------- [13, 18, 17] [13, 17] [1, 15, 18, 14] [1, 15, 14] --------------- = ----------- [13, 18, 17] [13, 17] [2, 10, 18, 12] [2, 10, 12] --------------- = ----------- [13, 18, 17] [13, 17] [3, 5, 18, 10] [3, 5, 10] -------------- = ---------- [13, 18, 17] [13, 17] [4, 0, 18, 8] [4, 0, 8] ------------- = --------- [13, 18, 17] [13, 17] [4, 14, 18, 6] [4, 14, 6] -------------- = ---------- [13, 18, 17] [13, 17] [5, 9, 18, 4] [5, 9, 4] ------------- = --------- [13, 18, 17] [13, 17] [6, 4, 18, 2] [6, 4, 2] ------------- = --------- [13, 18, 17] [13, 17] [6, 18, 18, 0] [6, 18, 0] -------------- = ---------- [13, 18, 17] [13, 17] denominator=, [14, 4, 4] [4, 2, 4, 3] [4, 2, 3] ------------ = --------- [14, 4, 4] [14, 4] [10, 16, 4, 1] [10, 16, 1] -------------- = ----------- [14, 4, 4] [14, 4] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 4] [1, 8, 8] [1, 8] ---------- = ------- [14, 8, 4] [14, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [14, 8, 4] [14, 4] denominator=, [14, 8, 7] [4, 8, 8] [4, 8] ---------- = ------- [14, 8, 7] [14, 7] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [14, 8, 7] [14, 7] [1, 15, 8, 5] [1, 15, 5] ------------- = ---------- [14, 8, 7] [14, 7] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [14, 8, 7] [14, 7] [2, 16, 8, 3] [2, 16, 3] ------------- = ---------- [14, 8, 7] [14, 7] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [14, 8, 7] [14, 7] [3, 17, 8, 1] [3, 17, 1] ------------- = ---------- [14, 8, 7] [14, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [14, 8, 7] [14, 7] denominator=, [14, 8, 8] [4, 3, 8, 6] [4, 3, 6] ------------ = --------- [14, 8, 8] [14, 8] [11, 0, 8, 2] [11, 0, 2] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 12, 2] [3, 12, 10] [3, 10] ----------- = ------- [14, 12, 2] [14, 2] denominator=, [14, 12, 6] [3, 12, 11] [3, 11] ----------- = ------- [14, 12, 6] [14, 6] [1, 6, 12, 1] [1, 6, 1] ------------- = --------- [14, 12, 6] [14, 6] denominator=, [14, 12, 8] [1, 17, 12, 1] [1, 17, 1] -------------- = ---------- [14, 12, 8] [14, 8] denominator=, [14, 12, 9] [2, 12, 12] [2, 12] ----------- = ------- [14, 12, 9] [14, 9] [6, 12, 11] [6, 11] ----------- = ------- [14, 12, 9] [14, 9] [10, 12, 10] [10, 10] ------------ = -------- [14, 12, 9] [14, 9] [18, 12, 8] [18, 8] ----------- = ------- [14, 12, 9] [14, 9] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [14, 12, 9] [14, 9] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [14, 12, 9] [14, 9] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [14, 12, 9] [14, 9] [1, 15, 12, 4] [1, 15, 4] -------------- = ---------- [14, 12, 9] [14, 9] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [14, 12, 9] [14, 9] [2, 4, 12, 2] [2, 4, 2] ------------- = --------- [14, 12, 9] [14, 9] [2, 8, 12, 1] [2, 8, 1] ------------- = --------- [14, 12, 9] [14, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [14, 12, 9] [14, 9] denominator=, [14, 12, 10] [3, 12, 12] [3, 12] ------------ = -------- [14, 12, 10] [14, 10] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [14, 12, 10] [14, 10] [1, 17, 12, 6] [1, 17, 6] -------------- = ---------- [14, 12, 10] [14, 10] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [14, 12, 10] [14, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [14, 12, 10] [14, 10] denominator=, [14, 12, 12] [1, 17, 12, 11] [1, 17, 11] --------------- = ----------- [14, 12, 12] [14, 12] [4, 4, 12, 9] [4, 4, 9] ------------- = --------- [14, 12, 12] [14, 12] [6, 10, 12, 7] [6, 10, 7] -------------- = ---------- [14, 12, 12] [14, 12] [8, 16, 12, 5] [8, 16, 5] -------------- = ---------- [14, 12, 12] [14, 12] [11, 3, 12, 3] [11, 3, 3] -------------- = ---------- [14, 12, 12] [14, 12] [13, 9, 12, 1] [13, 9, 1] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 14] [4, 5, 16, 1] [4, 5, 1] ------------- = --------- [14, 16, 14] [14, 14] denominator=, [14, 16, 16] [4, 5, 16, 12] [4, 5, 12] -------------- = ---------- [14, 16, 16] [14, 16] [11, 6, 16, 4] [11, 6, 4] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [14, 18, 1] [4, 18, 13] [4, 13] ----------- = ------- [14, 18, 1] [14, 1] [9, 18, 7] [9, 7] ----------- = ------- [14, 18, 1] [14, 1] denominator=, [14, 18, 7] [4, 18, 15] [4, 15] ----------- = ------- [14, 18, 7] [14, 7] [9, 18, 11] [9, 11] ----------- = ------- [14, 18, 7] [14, 7] [1, 0, 18, 3] [1, 0, 3] ------------- = --------- [14, 18, 7] [14, 7] denominator=, [14, 18, 9] [2, 18, 17] [2, 17] ----------- = ------- [14, 18, 9] [14, 9] [5, 18, 15] [5, 15] ----------- = ------- [14, 18, 9] [14, 9] [8, 18, 13] [8, 13] ----------- = ------- [14, 18, 9] [14, 9] [11, 18, 11] [11, 11] ------------ = -------- [14, 18, 9] [14, 9] [17, 18, 7] [17, 7] ----------- = ------- [14, 18, 9] [14, 9] [1, 1, 18, 5] [1, 1, 5] ------------- = --------- [14, 18, 9] [14, 9] [1, 4, 18, 3] [1, 4, 3] ------------- = --------- [14, 18, 9] [14, 9] [1, 7, 18, 1] [1, 7, 1] ------------- = --------- [14, 18, 9] [14, 9] denominator=, [14, 18, 10] [4, 18, 16] [4, 16] ------------ = -------- [14, 18, 10] [14, 10] [9, 18, 13] [9, 13] ------------ = -------- [14, 18, 10] [14, 10] [1, 0, 18, 7] [1, 0, 7] ------------- = --------- [14, 18, 10] [14, 10] [1, 5, 18, 4] [1, 5, 4] ------------- = --------- [14, 18, 10] [14, 10] denominator=, [14, 18, 13] [4, 18, 17] [4, 17] ------------ = -------- [14, 18, 13] [14, 13] [9, 18, 15] [9, 15] ------------ = -------- [14, 18, 13] [14, 13] [1, 0, 18, 11] [1, 0, 11] -------------- = ---------- [14, 18, 13] [14, 13] [1, 5, 18, 9] [1, 5, 9] ------------- = --------- [14, 18, 13] [14, 13] [1, 15, 18, 5] [1, 15, 5] -------------- = ---------- [14, 18, 13] [14, 13] [2, 1, 18, 3] [2, 1, 3] ------------- = --------- [14, 18, 13] [14, 13] denominator=, [14, 18, 14] [2, 18, 18] [2, 18] ------------ = -------- [14, 18, 14] [14, 14] [5, 18, 17] [5, 17] ------------ = -------- [14, 18, 14] [14, 14] [8, 18, 16] [8, 16] ------------ = -------- [14, 18, 14] [14, 14] [11, 18, 15] [11, 15] ------------ = -------- [14, 18, 14] [14, 14] [17, 18, 13] [17, 13] ------------ = -------- [14, 18, 14] [14, 14] [1, 1, 18, 12] [1, 1, 12] -------------- = ---------- [14, 18, 14] [14, 14] [1, 4, 18, 11] [1, 4, 11] -------------- = ---------- [14, 18, 14] [14, 14] [1, 7, 18, 10] [1, 7, 10] -------------- = ---------- [14, 18, 14] [14, 14] [1, 13, 18, 8] [1, 13, 8] -------------- = ---------- [14, 18, 14] [14, 14] [1, 16, 18, 7] [1, 16, 7] -------------- = ---------- [14, 18, 14] [14, 14] [2, 0, 18, 6] [2, 0, 6] ------------- = --------- [14, 18, 14] [14, 14] [2, 3, 18, 5] [2, 3, 5] ------------- = --------- [14, 18, 14] [14, 14] [2, 9, 18, 3] [2, 9, 3] ------------- = --------- [14, 18, 14] [14, 14] [2, 12, 18, 2] [2, 12, 2] -------------- = ---------- [14, 18, 14] [14, 14] [2, 15, 18, 1] [2, 15, 1] -------------- = ---------- [14, 18, 14] [14, 14] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [14, 18, 14] [14, 14] denominator=, [14, 18, 16] [4, 18, 18] [4, 18] ------------ = -------- [14, 18, 16] [14, 16] [9, 18, 17] [9, 17] ------------ = -------- [14, 18, 16] [14, 16] [1, 0, 18, 15] [1, 0, 15] -------------- = ---------- [14, 18, 16] [14, 16] [1, 5, 18, 14] [1, 5, 14] -------------- = ---------- [14, 18, 16] [14, 16] [1, 15, 18, 12] [1, 15, 12] --------------- = ----------- [14, 18, 16] [14, 16] [2, 1, 18, 11] [2, 1, 11] -------------- = ---------- [14, 18, 16] [14, 16] [2, 11, 18, 9] [2, 11, 9] -------------- = ---------- [14, 18, 16] [14, 16] [2, 16, 18, 8] [2, 16, 8] -------------- = ---------- [14, 18, 16] [14, 16] [3, 7, 18, 6] [3, 7, 6] ------------- = --------- [14, 18, 16] [14, 16] [3, 12, 18, 5] [3, 12, 5] -------------- = ---------- [14, 18, 16] [14, 16] [4, 3, 18, 3] [4, 3, 3] ------------- = --------- [14, 18, 16] [14, 16] [4, 8, 18, 2] [4, 8, 2] ------------- = --------- [14, 18, 16] [14, 16] [4, 18, 18, 0] [4, 18, 0] -------------- = ---------- [14, 18, 16] [14, 16] denominator=, [15, 3, 1] [1, 3, 3] [1, 3] ---------- = ------- [15, 3, 1] [15, 1] [8, 3, 2] [8, 2] ---------- = ------- [15, 3, 1] [15, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [15, 3, 1] [15, 1] denominator=, [15, 3, 2] [2, 3, 3] [2, 3] ---------- = ------- [15, 3, 2] [15, 2] [1, 9, 3, 1] [1, 9, 1] ------------ = --------- [15, 3, 2] [15, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [15, 3, 2] [15, 2] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 5] [2, 0, 6, 3] [2, 0, 3] ------------ = --------- [15, 6, 5] [15, 5] denominator=, [15, 10, 5] [1, 10, 10] [1, 10] ----------- = ------- [15, 10, 5] [15, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [15, 10, 5] [15, 5] denominator=, [15, 10, 9] [5, 10, 10] [5, 10] ----------- = ------- [15, 10, 9] [15, 9] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [15, 10, 9] [15, 9] [1, 16, 10, 7] [1, 16, 7] -------------- = ---------- [15, 10, 9] [15, 9] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [15, 10, 9] [15, 9] [2, 17, 10, 5] [2, 17, 5] -------------- = ---------- [15, 10, 9] [15, 9] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [15, 10, 9] [15, 9] [3, 18, 10, 3] [3, 18, 3] -------------- = ---------- [15, 10, 9] [15, 9] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [15, 10, 9] [15, 9] [5, 0, 10, 1] [5, 0, 1] ------------- = --------- [15, 10, 9] [15, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [15, 10, 9] [15, 9] denominator=, [15, 10, 10] [2, 5, 10, 9] [2, 5, 9] ------------- = --------- [15, 10, 10] [15, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [5, 4, 10, 7] [5, 4, 7] ------------- = --------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [11, 2, 10, 3] [11, 2, 3] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] [14, 1, 10, 1] [14, 1, 1] -------------- = ---------- [15, 10, 10] [15, 10] denominator=, [15, 14, 13] [4, 10, 14, 5] [4, 10, 5] -------------- = ---------- [15, 14, 13] [15, 13] denominator=, [15, 15, 10] [1, 15, 15, 3] [1, 15, 3] -------------- = ---------- [15, 15, 10] [15, 10] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 16, 12] [2, 16, 16] [2, 16] ------------ = -------- [15, 16, 12] [15, 12] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [15, 16, 12] [15, 12] [2, 3, 16, 4] [2, 3, 4] ------------- = --------- [15, 16, 12] [15, 12] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [15, 16, 12] [15, 12] denominator=, [15, 16, 14] [4, 16, 16] [4, 16] ------------ = -------- [15, 16, 14] [15, 14] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [15, 16, 14] [15, 14] [1, 18, 16, 10] [1, 18, 10] --------------- = ----------- [15, 16, 14] [15, 14] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [15, 16, 14] [15, 14] [3, 2, 16, 6] [3, 2, 6] ------------- = --------- [15, 16, 14] [15, 14] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [15, 16, 14] [15, 14] [4, 5, 16, 2] [4, 5, 2] ------------- = --------- [15, 16, 14] [15, 14] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [15, 16, 14] [15, 14] denominator=, [15, 17, 16] [2, 18, 17, 11] [2, 18, 11] --------------- = ----------- [15, 17, 16] [15, 16] [5, 2, 17, 6] [5, 2, 6] ------------- = --------- [15, 17, 16] [15, 16] [7, 5, 17, 1] [7, 5, 1] ------------- = --------- [15, 17, 16] [15, 16] denominator=, [15, 18, 1] [7, 18, 10] [7, 10] ----------- = ------- [15, 18, 1] [15, 1] denominator=, [15, 18, 5] [7, 18, 12] [7, 12] ----------- = ------- [15, 18, 5] [15, 5] denominator=, [15, 18, 7] [3, 18, 16] [3, 16] ----------- = ------- [15, 18, 7] [15, 7] [7, 18, 13] [7, 13] ----------- = ------- [15, 18, 7] [15, 7] [11, 18, 10] [11, 10] ------------ = -------- [15, 18, 7] [15, 7] [1, 0, 18, 4] [1, 0, 4] ------------- = --------- [15, 18, 7] [15, 7] [1, 4, 18, 1] [1, 4, 1] ------------- = --------- [15, 18, 7] [15, 7] denominator=, [15, 18, 9] [7, 18, 14] [7, 14] ----------- = ------- [15, 18, 9] [15, 9] [1, 4, 18, 4] [1, 4, 4] ------------- = --------- [15, 18, 9] [15, 9] denominator=, [15, 18, 11] [1, 18, 18] [1, 18] ------------ = -------- [15, 18, 11] [15, 11] [3, 18, 17] [3, 17] ------------ = -------- [15, 18, 11] [15, 11] [5, 18, 16] [5, 16] ------------ = -------- [15, 18, 11] [15, 11] [7, 18, 15] [7, 15] ------------ = -------- [15, 18, 11] [15, 11] [9, 18, 14] [9, 14] ------------ = -------- [15, 18, 11] [15, 11] [11, 18, 13] [11, 13] ------------ = -------- [15, 18, 11] [15, 11] [13, 18, 12] [13, 12] ------------ = -------- [15, 18, 11] [15, 11] [17, 18, 10] [17, 10] ------------ = -------- [15, 18, 11] [15, 11] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [15, 18, 11] [15, 11] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [15, 18, 11] [15, 11] [1, 4, 18, 7] [1, 4, 7] ------------- = --------- [15, 18, 11] [15, 11] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [15, 18, 11] [15, 11] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [15, 18, 11] [15, 11] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [15, 18, 11] [15, 11] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [15, 18, 11] [15, 11] [1, 16, 18, 1] [1, 16, 1] -------------- = ---------- [15, 18, 11] [15, 11] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [15, 18, 11] [15, 11] denominator=, [15, 18, 13] [7, 18, 16] [7, 16] ------------ = -------- [15, 18, 13] [15, 13] [1, 4, 18, 10] [1, 4, 10] -------------- = ---------- [15, 18, 13] [15, 13] [2, 1, 18, 4] [2, 1, 4] ------------- = --------- [15, 18, 13] [15, 13] denominator=, [15, 18, 15] [3, 18, 18] [3, 18] ------------ = -------- [15, 18, 15] [15, 15] [7, 18, 17] [7, 17] ------------ = -------- [15, 18, 15] [15, 15] [11, 18, 16] [11, 16] ------------ = -------- [15, 18, 15] [15, 15] [1, 0, 18, 14] [1, 0, 14] -------------- = ---------- [15, 18, 15] [15, 15] [1, 4, 18, 13] [1, 4, 13] -------------- = ---------- [15, 18, 15] [15, 15] [1, 8, 18, 12] [1, 8, 12] -------------- = ---------- [15, 18, 15] [15, 15] [1, 16, 18, 10] [1, 16, 10] --------------- = ----------- [15, 18, 15] [15, 15] [2, 1, 18, 9] [2, 1, 9] ------------- = --------- [15, 18, 15] [15, 15] [2, 5, 18, 8] [2, 5, 8] ------------- = --------- [15, 18, 15] [15, 15] [2, 13, 18, 6] [2, 13, 6] -------------- = ---------- [15, 18, 15] [15, 15] [2, 17, 18, 5] [2, 17, 5] -------------- = ---------- [15, 18, 15] [15, 15] [3, 2, 18, 4] [3, 2, 4] ------------- = --------- [15, 18, 15] [15, 15] [3, 10, 18, 2] [3, 10, 2] -------------- = ---------- [15, 18, 15] [15, 15] [3, 14, 18, 1] [3, 14, 1] -------------- = ---------- [15, 18, 15] [15, 15] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [15, 18, 15] [15, 15] denominator=, [15, 18, 17] [7, 18, 18] [7, 18] ------------ = -------- [15, 18, 17] [15, 17] [1, 4, 18, 16] [1, 4, 16] -------------- = ---------- [15, 18, 17] [15, 17] [2, 1, 18, 14] [2, 1, 14] -------------- = ---------- [15, 18, 17] [15, 17] [2, 17, 18, 12] [2, 17, 12] --------------- = ----------- [15, 18, 17] [15, 17] [3, 14, 18, 10] [3, 14, 10] --------------- = ----------- [15, 18, 17] [15, 17] [4, 11, 18, 8] [4, 11, 8] -------------- = ---------- [15, 18, 17] [15, 17] [5, 8, 18, 6] [5, 8, 6] ------------- = --------- [15, 18, 17] [15, 17] [6, 5, 18, 4] [6, 5, 4] ------------- = --------- [15, 18, 17] [15, 17] [7, 2, 18, 2] [7, 2, 2] ------------- = --------- [15, 18, 17] [15, 17] [7, 18, 18, 0] [7, 18, 0] -------------- = ---------- [15, 18, 17] [15, 17] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 6, 4] [2, 6, 6] [2, 6] ---------- = ------- [16, 6, 4] [16, 4] [9, 6, 5] [9, 5] ---------- = ------- [16, 6, 4] [16, 4] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [16, 6, 4] [16, 4] [1, 11, 6, 2] [1, 11, 2] ------------- = ---------- [16, 6, 4] [16, 4] [1, 18, 6, 1] [1, 18, 1] ------------- = ---------- [16, 6, 4] [16, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [16, 6, 4] [16, 4] denominator=, [16, 7, 6] [3, 18, 7, 1] [3, 18, 1] ------------- = ---------- [16, 7, 6] [16, 6] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 9, 2] [5, 9, 7] [5, 7] ---------- = ------- [16, 9, 2] [16, 2] denominator=, [16, 9, 4] [1, 9, 9] [1, 9] ---------- = ------- [16, 9, 4] [16, 4] [4, 9, 8] [4, 8] ---------- = ------- [16, 9, 4] [16, 4] [7, 9, 7] [7, 7] ---------- = ------- [16, 9, 4] [16, 4] [10, 9, 6] [10, 6] ---------- = ------- [16, 9, 4] [16, 4] [13, 9, 5] [13, 5] ---------- = ------- [16, 9, 4] [16, 4] [1, 0, 9, 3] [1, 0, 3] ------------ = --------- [16, 9, 4] [16, 4] [1, 3, 9, 2] [1, 3, 2] ------------ = --------- [16, 9, 4] [16, 4] [1, 6, 9, 1] [1, 6, 1] ------------ = --------- [16, 9, 4] [16, 4] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [16, 9, 4] [16, 4] denominator=, [16, 9, 5] [5, 9, 8] [5, 8] ---------- = ------- [16, 9, 5] [16, 5] [1, 8, 9, 2] [1, 8, 2] ------------ = --------- [16, 9, 5] [16, 5] denominator=, [16, 9, 8] [5, 9, 9] [5, 9] ---------- = ------- [16, 9, 8] [16, 8] [1, 8, 9, 7] [1, 8, 7] ------------ = --------- [16, 9, 8] [16, 8] [2, 0, 9, 6] [2, 0, 6] ------------ = --------- [16, 9, 8] [16, 8] [3, 3, 9, 4] [3, 3, 4] ------------ = --------- [16, 9, 8] [16, 8] [3, 14, 9, 3] [3, 14, 3] ------------- = ---------- [16, 9, 8] [16, 8] [4, 17, 9, 1] [4, 17, 1] ------------- = ---------- [16, 9, 8] [16, 8] [5, 9, 9, 0] [5, 9, 0] ------------ = --------- [16, 9, 8] [16, 8] denominator=, [16, 11, 8] [2, 1, 11, 3] [2, 1, 3] ------------- = --------- [16, 11, 8] [16, 8] denominator=, [16, 12, 1] [6, 12, 8] [6, 8] ----------- = ------- [16, 12, 1] [16, 1] denominator=, [16, 12, 6] [1, 12, 12] [1, 12] ----------- = ------- [16, 12, 6] [16, 6] [6, 12, 10] [6, 10] ----------- = ------- [16, 12, 6] [16, 6] [11, 12, 8] [11, 8] ----------- = ------- [16, 12, 6] [16, 6] [1, 2, 12, 4] [1, 2, 4] ------------- = --------- [16, 12, 6] [16, 6] [1, 7, 12, 2] [1, 7, 2] ------------- = --------- [16, 12, 6] [16, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [16, 12, 6] [16, 6] denominator=, [16, 12, 8] [2, 3, 12, 1] [2, 3, 1] ------------- = --------- [16, 12, 8] [16, 8] denominator=, [16, 12, 10] [2, 3, 12, 6] [2, 3, 6] ------------- = --------- [16, 12, 10] [16, 10] denominator=, [16, 12, 11] [6, 12, 12] [6, 12] ------------ = -------- [16, 12, 11] [16, 11] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [16, 12, 11] [16, 11] [1, 17, 12, 9] [1, 17, 9] -------------- = ---------- [16, 12, 11] [16, 11] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [16, 12, 11] [16, 11] [2, 18, 12, 7] [2, 18, 7] -------------- = ---------- [16, 12, 11] [16, 11] [4, 0, 12, 5] [4, 0, 5] ------------- = --------- [16, 12, 11] [16, 11] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [16, 12, 11] [16, 11] [5, 1, 12, 3] [5, 1, 3] ------------- = --------- [16, 12, 11] [16, 11] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [16, 12, 11] [16, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [16, 12, 11] [16, 11] denominator=, [16, 12, 12] [2, 3, 12, 11] [2, 3, 11] -------------- = ---------- [16, 12, 12] [16, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [7, 8, 12, 7] [7, 8, 7] ------------- = --------- [16, 12, 12] [16, 12] [10, 1, 12, 5] [10, 1, 5] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] [15, 6, 12, 1] [15, 6, 1] -------------- = ---------- [16, 12, 12] [16, 12] denominator=, [16, 13, 11] [3, 2, 13, 4] [3, 2, 4] ------------- = --------- [16, 13, 11] [16, 11] denominator=, [16, 16, 12] [2, 16, 16, 1] [2, 16, 1] -------------- = ---------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [4, 16, 16, 1] [4, 16, 1] -------------- = ---------- [16, 16, 14] [16, 14] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [16, 17, 16] [4, 1, 17, 9] [4, 1, 9] ------------- = --------- [16, 17, 16] [16, 16] [7, 5, 17, 2] [7, 5, 2] ------------- = --------- [16, 17, 16] [16, 16] denominator=, [17, 6, 1] [4, 6, 5] [4, 5] ---------- = ------- [17, 6, 1] [17, 1] denominator=, [17, 6, 2] [1, 6, 6] [1, 6] ---------- = ------- [17, 6, 2] [17, 2] [5, 6, 5] [5, 5] ---------- = ------- [17, 6, 2] [17, 2] [9, 6, 4] [9, 4] ---------- = ------- [17, 6, 2] [17, 2] [13, 6, 3] [13, 3] ---------- = ------- [17, 6, 2] [17, 2] [1, 2, 6, 1] [1, 2, 1] ------------ = --------- [17, 6, 2] [17, 2] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [17, 6, 2] [17, 2] denominator=, [17, 6, 5] [4, 6, 6] [4, 6] ---------- = ------- [17, 6, 5] [17, 5] [1, 11, 6, 4] [1, 11, 4] ------------- = ---------- [17, 6, 5] [17, 5] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [17, 6, 5] [17, 5] [2, 18, 6, 2] [2, 18, 2] ------------- = ---------- [17, 6, 5] [17, 5] [4, 6, 6, 0] [4, 6, 0] ------------ = --------- [17, 6, 5] [17, 5] denominator=, [17, 9, 2] [3, 9, 8] [3, 8] ---------- = ------- [17, 9, 2] [17, 2] [10, 9, 5] [10, 5] ---------- = ------- [17, 9, 2] [17, 2] denominator=, [17, 9, 6] [2, 9, 9] [2, 9] ---------- = ------- [17, 9, 6] [17, 6] [7, 9, 8] [7, 8] ---------- = ------- [17, 9, 6] [17, 6] [12, 9, 7] [12, 7] ---------- = ------- [17, 9, 6] [17, 6] [1, 3, 9, 5] [1, 3, 5] ------------ = --------- [17, 9, 6] [17, 6] [1, 8, 9, 4] [1, 8, 4] ------------ = --------- [17, 9, 6] [17, 6] [1, 13, 9, 3] [1, 13, 3] ------------- = ---------- [17, 9, 6] [17, 6] [1, 18, 9, 2] [1, 18, 2] ------------- = ---------- [17, 9, 6] [17, 6] [2, 4, 9, 1] [2, 4, 1] ------------ = --------- [17, 9, 6] [17, 6] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [17, 9, 6] [17, 6] denominator=, [17, 9, 7] [3, 9, 9] [3, 9] ---------- = ------- [17, 9, 7] [17, 7] [10, 9, 8] [10, 8] ---------- = ------- [17, 9, 7] [17, 7] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [17, 9, 7] [17, 7] [1, 12, 9, 5] [1, 12, 5] ------------- = ---------- [17, 9, 7] [17, 7] [2, 0, 9, 4] [2, 0, 4] ------------ = --------- [17, 9, 7] [17, 7] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [17, 9, 7] [17, 7] [3, 2, 9, 1] [3, 2, 1] ------------ = --------- [17, 9, 7] [17, 7] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [17, 9, 7] [17, 7] denominator=, [17, 10, 9] [5, 1, 10, 2] [5, 1, 2] ------------- = --------- [17, 10, 9] [17, 9] denominator=, [17, 14, 7] [1, 14, 14] [1, 14] ----------- = ------- [17, 14, 7] [17, 7] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [17, 14, 7] [17, 7] denominator=, [17, 14, 12] [2, 11, 14, 7] [2, 11, 7] -------------- = ---------- [17, 14, 12] [17, 12] [4, 5, 14, 2] [4, 5, 2] ------------- = --------- [17, 14, 12] [17, 12] denominator=, [17, 14, 13] [7, 14, 14] [7, 14] ------------ = -------- [17, 14, 13] [17, 13] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [17, 14, 13] [17, 13] [1, 18, 14, 11] [1, 18, 11] --------------- = ----------- [17, 14, 13] [17, 13] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [17, 14, 13] [17, 13] [3, 0, 14, 9] [3, 0, 9] ------------- = --------- [17, 14, 13] [17, 13] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [17, 14, 13] [17, 13] [4, 1, 14, 7] [4, 1, 7] ------------- = --------- [17, 14, 13] [17, 13] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [17, 14, 13] [17, 13] [5, 2, 14, 5] [5, 2, 5] ------------- = --------- [17, 14, 13] [17, 13] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [17, 14, 13] [17, 13] [6, 3, 14, 3] [6, 3, 3] ------------- = --------- [17, 14, 13] [17, 13] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [17, 14, 13] [17, 13] [7, 4, 14, 1] [7, 4, 1] ------------- = --------- [17, 14, 13] [17, 13] [7, 14, 14, 0] [7, 14, 0] -------------- = ---------- [17, 14, 13] [17, 13] denominator=, [17, 16, 13] [2, 2, 16, 8] [2, 2, 8] ------------- = --------- [17, 16, 13] [17, 13] [3, 6, 16, 3] [3, 6, 3] ------------- = --------- [17, 16, 13] [17, 13] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [17, 18, 3] [8, 18, 11] [8, 11] ----------- = ------- [17, 18, 3] [17, 3] denominator=, [17, 18, 4] [5, 18, 14] [5, 14] ----------- = ------- [17, 18, 4] [17, 4] [11, 18, 9] [11, 9] ----------- = ------- [17, 18, 4] [17, 4] denominator=, [17, 18, 5] [8, 18, 12] [8, 12] ----------- = ------- [17, 18, 5] [17, 5] denominator=, [17, 18, 7] [2, 18, 17] [2, 17] ----------- = ------- [17, 18, 7] [17, 7] [5, 18, 15] [5, 15] ----------- = ------- [17, 18, 7] [17, 7] [8, 18, 13] [8, 13] ----------- = ------- [17, 18, 7] [17, 7] [11, 18, 11] [11, 11] ------------ = -------- [17, 18, 7] [17, 7] [14, 18, 9] [14, 9] ----------- = ------- [17, 18, 7] [17, 7] [1, 1, 18, 5] [1, 1, 5] ------------- = --------- [17, 18, 7] [17, 7] [1, 4, 18, 3] [1, 4, 3] ------------- = --------- [17, 18, 7] [17, 7] [1, 7, 18, 1] [1, 7, 1] ------------- = --------- [17, 18, 7] [17, 7] denominator=, [17, 18, 9] [8, 18, 14] [8, 14] ----------- = ------- [17, 18, 9] [17, 9] [1, 7, 18, 4] [1, 7, 4] ------------- = --------- [17, 18, 9] [17, 9] denominator=, [17, 18, 10] [1, 18, 18] [1, 18] ------------ = -------- [17, 18, 10] [17, 10] [3, 18, 17] [3, 17] ------------ = -------- [17, 18, 10] [17, 10] [5, 18, 16] [5, 16] ------------ = -------- [17, 18, 10] [17, 10] [7, 18, 15] [7, 15] ------------ = -------- [17, 18, 10] [17, 10] [9, 18, 14] [9, 14] ------------ = -------- [17, 18, 10] [17, 10] [11, 18, 13] [11, 13] ------------ = -------- [17, 18, 10] [17, 10] [13, 18, 12] [13, 12] ------------ = -------- [17, 18, 10] [17, 10] [15, 18, 11] [15, 11] ------------ = -------- [17, 18, 10] [17, 10] [1, 0, 18, 9] [1, 0, 9] ------------- = --------- [17, 18, 10] [17, 10] [1, 2, 18, 8] [1, 2, 8] ------------- = --------- [17, 18, 10] [17, 10] [1, 4, 18, 7] [1, 4, 7] ------------- = --------- [17, 18, 10] [17, 10] [1, 6, 18, 6] [1, 6, 6] ------------- = --------- [17, 18, 10] [17, 10] [1, 8, 18, 5] [1, 8, 5] ------------- = --------- [17, 18, 10] [17, 10] [1, 10, 18, 4] [1, 10, 4] -------------- = ---------- [17, 18, 10] [17, 10] [1, 12, 18, 3] [1, 12, 3] -------------- = ---------- [17, 18, 10] [17, 10] [1, 14, 18, 2] [1, 14, 2] -------------- = ---------- [17, 18, 10] [17, 10] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [17, 18, 10] [17, 10] denominator=, [17, 18, 11] [8, 18, 15] [8, 15] ------------ = -------- [17, 18, 11] [17, 11] [1, 7, 18, 7] [1, 7, 7] ------------- = --------- [17, 18, 11] [17, 11] denominator=, [17, 18, 13] [2, 18, 18] [2, 18] ------------ = -------- [17, 18, 13] [17, 13] [5, 18, 17] [5, 17] ------------ = -------- [17, 18, 13] [17, 13] [8, 18, 16] [8, 16] ------------ = -------- [17, 18, 13] [17, 13] [11, 18, 15] [11, 15] ------------ = -------- [17, 18, 13] [17, 13] [14, 18, 14] [14, 14] ------------ = -------- [17, 18, 13] [17, 13] [1, 1, 18, 12] [1, 1, 12] -------------- = ---------- [17, 18, 13] [17, 13] [1, 4, 18, 11] [1, 4, 11] -------------- = ---------- [17, 18, 13] [17, 13] [1, 7, 18, 10] [1, 7, 10] -------------- = ---------- [17, 18, 13] [17, 13] [1, 10, 18, 9] [1, 10, 9] -------------- = ---------- [17, 18, 13] [17, 13] [1, 13, 18, 8] [1, 13, 8] -------------- = ---------- [17, 18, 13] [17, 13] [2, 0, 18, 6] [2, 0, 6] ------------- = --------- [17, 18, 13] [17, 13] [2, 3, 18, 5] [2, 3, 5] ------------- = --------- [17, 18, 13] [17, 13] [2, 6, 18, 4] [2, 6, 4] ------------- = --------- [17, 18, 13] [17, 13] [2, 9, 18, 3] [2, 9, 3] ------------- = --------- [17, 18, 13] [17, 13] [2, 12, 18, 2] [2, 12, 2] -------------- = ---------- [17, 18, 13] [17, 13] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [17, 18, 13] [17, 13] denominator=, [17, 18, 15] [8, 18, 17] [8, 17] ------------ = -------- [17, 18, 15] [17, 15] [1, 7, 18, 13] [1, 7, 13] -------------- = ---------- [17, 18, 15] [17, 15] [2, 6, 18, 9] [2, 6, 9] ------------- = --------- [17, 18, 15] [17, 15] [3, 5, 18, 5] [3, 5, 5] ------------- = --------- [17, 18, 15] [17, 15] [4, 4, 18, 1] [4, 4, 1] ------------- = --------- [17, 18, 15] [17, 15] denominator=, [17, 18, 16] [5, 18, 18] [5, 18] ------------ = -------- [17, 18, 16] [17, 16] [11, 18, 17] [11, 17] ------------ = -------- [17, 18, 16] [17, 16] [1, 4, 18, 15] [1, 4, 15] -------------- = ---------- [17, 18, 16] [17, 16] [1, 10, 18, 14] [1, 10, 14] --------------- = ----------- [17, 18, 16] [17, 16] [2, 3, 18, 12] [2, 3, 12] -------------- = ---------- [17, 18, 16] [17, 16] [2, 9, 18, 11] [2, 9, 11] -------------- = ---------- [17, 18, 16] [17, 16] [3, 2, 18, 9] [3, 2, 9] ------------- = --------- [17, 18, 16] [17, 16] [3, 8, 18, 8] [3, 8, 8] ------------- = --------- [17, 18, 16] [17, 16] [4, 1, 18, 6] [4, 1, 6] ------------- = --------- [17, 18, 16] [17, 16] [4, 7, 18, 5] [4, 7, 5] ------------- = --------- [17, 18, 16] [17, 16] [5, 0, 18, 3] [5, 0, 3] ------------- = --------- [17, 18, 16] [17, 16] [5, 6, 18, 2] [5, 6, 2] ------------- = --------- [17, 18, 16] [17, 16] [5, 18, 18, 0] [5, 18, 0] -------------- = ---------- [17, 18, 16] [17, 16] denominator=, [17, 18, 17] [8, 18, 18] [8, 18] ------------ = -------- [17, 18, 17] [17, 17] [1, 7, 18, 16] [1, 7, 16] -------------- = ---------- [17, 18, 17] [17, 17] [2, 6, 18, 14] [2, 6, 14] -------------- = ---------- [17, 18, 17] [17, 17] [3, 5, 18, 12] [3, 5, 12] -------------- = ---------- [17, 18, 17] [17, 17] [4, 4, 18, 10] [4, 4, 10] -------------- = ---------- [17, 18, 17] [17, 17] [5, 3, 18, 8] [5, 3, 8] ------------- = --------- [17, 18, 17] [17, 17] [6, 2, 18, 6] [6, 2, 6] ------------- = --------- [17, 18, 17] [17, 17] [7, 1, 18, 4] [7, 1, 4] ------------- = --------- [17, 18, 17] [17, 17] [8, 0, 18, 2] [8, 0, 2] ------------- = --------- [17, 18, 17] [17, 17] [8, 18, 18, 0] [8, 18, 0] -------------- = ---------- [17, 18, 17] [17, 17] denominator=, [18, 4, 4] [5, 5, 4, 3] [5, 5, 3] ------------ = --------- [18, 4, 4] [18, 4] [13, 17, 4, 1] [13, 17, 1] -------------- = ----------- [18, 4, 4] [18, 4] denominator=, [18, 6, 3] [7, 6, 5] [7, 5] ---------- = ------- [18, 6, 3] [18, 3] [1, 10, 6, 1] [1, 10, 1] ------------- = ---------- [18, 6, 3] [18, 3] denominator=, [18, 8, 8] [5, 6, 8, 6] [5, 6, 6] ------------ = --------- [18, 8, 8] [18, 8] [14, 1, 8, 2] [14, 1, 2] ------------- = ---------- [18, 8, 8] [18, 8] denominator=, [18, 12, 1] [2, 12, 11] [2, 11] ----------- = ------- [18, 12, 1] [18, 1] [10, 12, 6] [10, 6] ----------- = ------- [18, 12, 1] [18, 1] denominator=, [18, 12, 2] [4, 12, 10] [4, 10] ----------- = ------- [18, 12, 2] [18, 2] [11, 12, 6] [11, 6] ----------- = ------- [18, 12, 2] [18, 2] denominator=, [18, 12, 6] [4, 12, 11] [4, 11] ----------- = ------- [18, 12, 6] [18, 6] [1, 13, 12, 1] [1, 13, 1] -------------- = ---------- [18, 12, 6] [18, 6] denominator=, [18, 12, 8] [2, 12, 12] [2, 12] ----------- = ------- [18, 12, 8] [18, 8] [6, 12, 11] [6, 11] ----------- = ------- [18, 12, 8] [18, 8] [10, 12, 10] [10, 10] ------------ = -------- [18, 12, 8] [18, 8] [14, 12, 9] [14, 9] ----------- = ------- [18, 12, 8] [18, 8] [1, 3, 12, 7] [1, 3, 7] ------------- = --------- [18, 12, 8] [18, 8] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [18, 12, 8] [18, 8] [1, 11, 12, 5] [1, 11, 5] -------------- = ---------- [18, 12, 8] [18, 8] [1, 15, 12, 4] [1, 15, 4] -------------- = ---------- [18, 12, 8] [18, 8] [2, 0, 12, 3] [2, 0, 3] ------------- = --------- [18, 12, 8] [18, 8] [2, 4, 12, 2] [2, 4, 2] ------------- = --------- [18, 12, 8] [18, 8] [2, 8, 12, 1] [2, 8, 1] ------------- = --------- [18, 12, 8] [18, 8] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [18, 12, 8] [18, 8] denominator=, [18, 12, 10] [4, 12, 12] [4, 12] ------------ = -------- [18, 12, 10] [18, 10] [11, 12, 11] [11, 11] ------------ = -------- [18, 12, 10] [18, 10] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [18, 12, 10] [18, 10] [1, 13, 12, 8] [1, 13, 8] -------------- = ---------- [18, 12, 10] [18, 10] [2, 1, 12, 7] [2, 1, 7] ------------- = --------- [18, 12, 10] [18, 10] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [18, 12, 10] [18, 10] [2, 15, 12, 5] [2, 15, 5] -------------- = ---------- [18, 12, 10] [18, 10] [3, 3, 12, 4] [3, 3, 4] ------------- = --------- [18, 12, 10] [18, 10] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [18, 12, 10] [18, 10] [4, 5, 12, 1] [4, 5, 1] ------------- = --------- [18, 12, 10] [18, 10] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [18, 12, 10] [18, 10] denominator=, [18, 12, 12] [2, 8, 12, 11] [2, 8, 11] -------------- = ---------- [18, 12, 12] [18, 12] [5, 7, 12, 9] [5, 7, 9] ------------- = --------- [18, 12, 12] [18, 12] [8, 6, 12, 7] [8, 6, 7] ------------- = --------- [18, 12, 12] [18, 12] [11, 5, 12, 5] [11, 5, 5] -------------- = ---------- [18, 12, 12] [18, 12] [14, 4, 12, 3] [14, 4, 3] -------------- = ---------- [18, 12, 12] [18, 12] [17, 3, 12, 1] [17, 3, 1] -------------- = ---------- [18, 12, 12] [18, 12] denominator=, [18, 14, 9] [5, 14, 13] [5, 13] ----------- = ------- [18, 14, 9] [18, 9] [1, 12, 14, 5] [1, 12, 5] -------------- = ---------- [18, 14, 9] [18, 9] [2, 6, 14, 1] [2, 6, 1] ------------- = --------- [18, 14, 9] [18, 9] denominator=, [18, 16, 8] [1, 16, 16] [1, 16] ----------- = ------- [18, 16, 8] [18, 8] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [18, 16, 8] [18, 8] denominator=, [18, 16, 13] [2, 14, 16, 6] [2, 14, 6] -------------- = ---------- [18, 16, 13] [18, 13] denominator=, [18, 16, 14] [5, 8, 16, 1] [5, 8, 1] ------------- = --------- [18, 16, 14] [18, 14] denominator=, [18, 16, 15] [8, 16, 16] [8, 16] ------------ = -------- [18, 16, 15] [18, 15] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [18, 16, 15] [18, 15] [2, 0, 16, 13] [2, 0, 13] -------------- = ---------- [18, 16, 15] [18, 15] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [18, 16, 15] [18, 15] [3, 1, 16, 11] [3, 1, 11] -------------- = ---------- [18, 16, 15] [18, 15] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [18, 16, 15] [18, 15] [4, 2, 16, 9] [4, 2, 9] ------------- = --------- [18, 16, 15] [18, 15] [4, 12, 16, 8] [4, 12, 8] -------------- = ---------- [18, 16, 15] [18, 15] [5, 3, 16, 7] [5, 3, 7] ------------- = --------- [18, 16, 15] [18, 15] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [18, 16, 15] [18, 15] [6, 4, 16, 5] [6, 4, 5] ------------- = --------- [18, 16, 15] [18, 15] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [18, 16, 15] [18, 15] [7, 5, 16, 3] [7, 5, 3] ------------- = --------- [18, 16, 15] [18, 15] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [18, 16, 15] [18, 15] [8, 6, 16, 1] [8, 6, 1] ------------- = --------- [18, 16, 15] [18, 15] [8, 16, 16, 0] [8, 16, 0] -------------- = ---------- [18, 16, 15] [18, 15] denominator=, [18, 16, 16] [5, 8, 16, 12] [5, 8, 12] -------------- = ---------- [18, 16, 16] [18, 16] [14, 7, 16, 4] [14, 7, 4] -------------- = ---------- [18, 16, 16] [18, 16] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 1] [6, 5, 0] [5, 0] --------- = ------ [1, 6, 1] [1, 1] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 2] [9, 7, 0] [7, 0] --------- = ------ [1, 9, 2] [1, 2] denominator=, [1, 9, 5] [9, 8, 0] [8, 0] --------- = ------ [1, 9, 5] [1, 5] [2, 9, 2, 0] [2, 2, 0] ------------ = --------- [1, 9, 5] [1, 5] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 1] [12, 8, 0] [8, 0] ---------- = ------ [1, 12, 1] [1, 1] denominator=, [1, 12, 6] [12, 10, 0] [10, 0] ----------- = ------- [1, 12, 6] [1, 6] [2, 12, 2, 0] [2, 2, 0] ------------- = --------- [1, 12, 6] [1, 6] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [1, 13, 12] [1, 12] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [1, 13, 12] [1, 12] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [1, 13, 12] [1, 12] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [1, 15, 3] [15, 10, 0] [10, 0] ----------- = ------- [1, 15, 3] [1, 3] denominator=, [1, 15, 14] [15, 15, 0] [15, 0] ----------- = ------- [1, 15, 14] [1, 14] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [1, 15, 14] [1, 14] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [1, 15, 14] [1, 14] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [1, 15, 14] [1, 14] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [1, 15, 14] [1, 14] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [1, 15, 14] [1, 14] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [1, 15, 14] [1, 14] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [1, 15, 14] [1, 14] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [1, 15, 14] [1, 14] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [1, 15, 14] [1, 14] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [1, 15, 14] [1, 14] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [1, 15, 14] [1, 14] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [1, 15, 14] [1, 14] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [1, 15, 14] [1, 14] denominator=, [1, 16, 15] [16, 16, 0] [16, 0] ----------- = ------- [1, 16, 15] [1, 15] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [1, 16, 15] [1, 15] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [1, 16, 15] [1, 15] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [1, 16, 15] [1, 15] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [1, 16, 15] [1, 15] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [1, 16, 15] [1, 15] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [1, 16, 15] [1, 15] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [1, 16, 15] [1, 15] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [1, 16, 15] [1, 15] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [1, 16, 15] [1, 15] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [1, 16, 15] [1, 15] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [1, 16, 15] [1, 15] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [1, 16, 15] [1, 15] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [1, 16, 15] [1, 15] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [1, 16, 15] [1, 15] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [1, 16, 15] [1, 15] denominator=, [1, 17, 16] [17, 17, 0] [17, 0] ----------- = ------- [1, 17, 16] [1, 16] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [1, 17, 16] [1, 16] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [1, 17, 16] [1, 16] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [1, 17, 16] [1, 16] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [1, 17, 16] [1, 16] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [1, 17, 16] [1, 16] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [1, 17, 16] [1, 16] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [1, 17, 16] [1, 16] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [1, 17, 16] [1, 16] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [1, 17, 16] [1, 16] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [1, 17, 16] [1, 16] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [1, 17, 16] [1, 16] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [1, 17, 16] [1, 16] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [1, 17, 16] [1, 16] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [1, 17, 16] [1, 16] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [1, 17, 16] [1, 16] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [1, 17, 16] [1, 16] denominator=, [1, 18, 1] [18, 10, 0] [10, 0] ----------- = ------- [1, 18, 1] [1, 1] denominator=, [1, 18, 3] [18, 11, 0] [11, 0] ----------- = ------- [1, 18, 3] [1, 3] denominator=, [1, 18, 5] [18, 12, 0] [12, 0] ----------- = ------- [1, 18, 5] [1, 5] denominator=, [1, 18, 7] [18, 13, 0] [13, 0] ----------- = ------- [1, 18, 7] [1, 7] [2, 18, 1, 0] [2, 1, 0] ------------- = --------- [1, 18, 7] [1, 7] denominator=, [1, 18, 9] [18, 14, 0] [14, 0] ----------- = ------- [1, 18, 9] [1, 9] [2, 18, 4, 0] [2, 4, 0] ------------- = --------- [1, 18, 9] [1, 9] denominator=, [1, 18, 11] [18, 15, 0] [15, 0] ----------- = ------- [1, 18, 11] [1, 11] [2, 18, 7, 0] [2, 7, 0] ------------- = --------- [1, 18, 11] [1, 11] denominator=, [1, 18, 13] [18, 16, 0] [16, 0] ----------- = ------- [1, 18, 13] [1, 13] [2, 18, 10, 0] [2, 10, 0] -------------- = ---------- [1, 18, 13] [1, 13] [4, 18, 4, 0] [4, 4, 0] ------------- = --------- [1, 18, 13] [1, 13] denominator=, [1, 18, 15] [18, 17, 0] [17, 0] ----------- = ------- [1, 18, 15] [1, 15] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [1, 18, 15] [1, 15] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [1, 18, 15] [1, 15] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [1, 18, 15] [1, 15] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [1, 18, 15] [1, 15] denominator=, [1, 18, 17] [18, 18, 0] [18, 0] ----------- = ------- [1, 18, 17] [1, 17] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [1, 18, 17] [1, 17] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [1, 18, 17] [1, 17] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [1, 18, 17] [1, 17] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [1, 18, 17] [1, 17] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [1, 18, 17] [1, 17] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [1, 18, 17] [1, 17] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [1, 18, 17] [1, 17] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [1, 18, 17] [1, 17] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [1, 18, 17] [1, 17] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 4, 4] [12, 4, 3, 0] [12, 3, 0] ------------- = ---------- [2, 4, 4] [2, 4] [1, 13, 4, 1, 0] [1, 13, 1, 0] ---------------- = ------------- [2, 4, 4] [2, 4] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 8, 8] [13, 8, 6, 0] [13, 6, 0] ------------- = ---------- [2, 8, 8] [2, 8] [1, 16, 8, 2, 0] [1, 16, 2, 0] ---------------- = ------------- [2, 8, 8] [2, 8] denominator=, [2, 9, 2] [9, 8, 0] [8, 0] --------- = ------ [2, 9, 2] [2, 2] [1, 9, 5, 0] [1, 5, 0] ------------ = --------- [2, 9, 2] [2, 2] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 2] [12, 10, 0] [10, 0] ----------- = ------- [2, 12, 2] [2, 2] [1, 12, 6, 0] [1, 6, 0] ------------- = --------- [2, 12, 2] [2, 2] denominator=, [2, 12, 6] [12, 11, 0] [11, 0] ----------- = ------- [2, 12, 6] [2, 6] [4, 12, 1, 0] [4, 1, 0] ------------- = --------- [2, 12, 6] [2, 6] denominator=, [2, 12, 8] [6, 12, 1, 0] [6, 1, 0] ------------- = --------- [2, 12, 8] [2, 8] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 12, 12] [6, 12, 11, 0] [6, 11, 0] -------------- = ---------- [2, 12, 12] [2, 12] [14, 12, 9, 0] [14, 9, 0] -------------- = ---------- [2, 12, 12] [2, 12] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [2, 12, 12] [2, 12] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [2, 12, 12] [2, 12] [2, 8, 12, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [2, 12, 12] [2, 12] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [2, 14, 12] [14, 14, 0] [14, 0] ----------- = ------- [2, 14, 12] [2, 12] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [2, 14, 12] [2, 12] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [2, 14, 12] [2, 12] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [2, 14, 12] [2, 12] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [2, 14, 12] [2, 12] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [2, 14, 12] [2, 12] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [2, 14, 12] [2, 12] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [2, 14, 12] [2, 12] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [2, 14, 12] [2, 12] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [2, 14, 12] [2, 12] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [2, 14, 12] [2, 12] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [2, 14, 12] [2, 12] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [2, 14, 12] [2, 12] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [2, 14, 12] [2, 12] denominator=, [2, 15, 13] [15, 15, 0] [15, 0] ----------- = ------- [2, 15, 13] [2, 13] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [2, 15, 13] [2, 13] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [2, 15, 13] [2, 13] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [2, 15, 13] [2, 13] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [2, 15, 13] [2, 13] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [2, 15, 13] [2, 13] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [2, 15, 13] [2, 13] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [2, 15, 13] [2, 13] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [2, 15, 13] [2, 13] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [2, 15, 13] [2, 13] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [2, 15, 13] [2, 13] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [2, 15, 13] [2, 13] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [2, 15, 13] [2, 13] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [2, 15, 13] [2, 13] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [2, 15, 13] [2, 13] denominator=, [2, 16, 1] [16, 12, 0] [12, 0] ----------- = ------- [2, 16, 1] [2, 1] denominator=, [2, 16, 14] [16, 16, 0] [16, 0] ----------- = ------- [2, 16, 14] [2, 14] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [2, 16, 14] [2, 14] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [2, 16, 14] [2, 14] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [2, 16, 14] [2, 14] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [2, 16, 14] [2, 14] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [2, 16, 14] [2, 14] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [2, 16, 14] [2, 14] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [2, 16, 14] [2, 14] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [2, 16, 14] [2, 14] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [2, 16, 14] [2, 14] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [2, 16, 14] [2, 14] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [2, 16, 14] [2, 14] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [2, 16, 14] [2, 14] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [2, 16, 14] [2, 14] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [2, 16, 14] [2, 14] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [2, 16, 14] [2, 14] denominator=, [2, 16, 16] [15, 16, 12, 0] [15, 12, 0] --------------- = ----------- [2, 16, 16] [2, 16] [2, 3, 16, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [2, 16, 16] [2, 16] denominator=, [2, 17, 15] [17, 17, 0] [17, 0] ----------- = ------- [2, 17, 15] [2, 15] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [2, 17, 15] [2, 15] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [2, 17, 15] [2, 15] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [2, 17, 15] [2, 15] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [2, 17, 15] [2, 15] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [2, 17, 15] [2, 15] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [2, 17, 15] [2, 15] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [2, 17, 15] [2, 15] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [2, 17, 15] [2, 15] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [2, 17, 15] [2, 15] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [2, 17, 15] [2, 15] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [2, 17, 15] [2, 15] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [2, 17, 15] [2, 15] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [2, 17, 15] [2, 15] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [2, 17, 15] [2, 15] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [2, 17, 15] [2, 15] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [2, 17, 15] [2, 15] denominator=, [2, 18, 1] [18, 13, 0] [13, 0] ----------- = ------- [2, 18, 1] [2, 1] [1, 18, 7, 0] [1, 7, 0] ------------- = --------- [2, 18, 1] [2, 1] denominator=, [2, 18, 4] [18, 14, 0] [14, 0] ----------- = ------- [2, 18, 4] [2, 4] [1, 18, 9, 0] [1, 9, 0] ------------- = --------- [2, 18, 4] [2, 4] denominator=, [2, 18, 7] [18, 15, 0] [15, 0] ----------- = ------- [2, 18, 7] [2, 7] [1, 18, 11, 0] [1, 11, 0] -------------- = ---------- [2, 18, 7] [2, 7] [3, 18, 3, 0] [3, 3, 0] ------------- = --------- [2, 18, 7] [2, 7] denominator=, [2, 18, 10] [18, 16, 0] [16, 0] ----------- = ------- [2, 18, 10] [2, 10] [1, 18, 13, 0] [1, 13, 0] -------------- = ---------- [2, 18, 10] [2, 10] [3, 18, 7, 0] [3, 7, 0] ------------- = --------- [2, 18, 10] [2, 10] [4, 18, 4, 0] [4, 4, 0] ------------- = --------- [2, 18, 10] [2, 10] denominator=, [2, 18, 13] [18, 17, 0] [17, 0] ----------- = ------- [2, 18, 13] [2, 13] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [2, 18, 13] [2, 13] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [2, 18, 13] [2, 13] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [2, 18, 13] [2, 13] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [2, 18, 13] [2, 13] [7, 18, 3, 0] [7, 3, 0] ------------- = --------- [2, 18, 13] [2, 13] denominator=, [2, 18, 16] [18, 18, 0] [18, 0] ----------- = ------- [2, 18, 16] [2, 16] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [2, 18, 16] [2, 16] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [2, 18, 16] [2, 16] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [2, 18, 16] [2, 16] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [2, 18, 16] [2, 16] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [2, 18, 16] [2, 16] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [2, 18, 16] [2, 16] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [2, 18, 16] [2, 16] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [2, 18, 16] [2, 16] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [2, 18, 16] [2, 16] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [2, 18, 16] [2, 16] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [2, 18, 16] [2, 16] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [2, 18, 16] [2, 16] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 5] [8, 6, 3, 0] [8, 3, 0] ------------ = --------- [3, 6, 5] [3, 5] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 10, 9] [1, 0, 10, 2, 0] [1, 0, 2, 0] ---------------- = ------------ [3, 10, 9] [3, 9] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [3, 14, 13] [1, 1, 14, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [3, 14, 13] [3, 13] denominator=, [3, 15, 12] [15, 15, 0] [15, 0] ----------- = ------- [3, 15, 12] [3, 12] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [3, 15, 12] [3, 12] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [3, 15, 12] [3, 12] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [3, 15, 12] [3, 12] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [3, 15, 12] [3, 12] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [3, 15, 12] [3, 12] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [3, 15, 12] [3, 12] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [3, 15, 12] [3, 12] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [3, 15, 12] [3, 12] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [3, 15, 12] [3, 12] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [3, 15, 12] [3, 12] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [3, 15, 12] [3, 12] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [3, 15, 12] [3, 12] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [3, 15, 12] [3, 12] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [3, 15, 12] [3, 12] denominator=, [3, 16, 13] [16, 16, 0] [16, 0] ----------- = ------- [3, 16, 13] [3, 13] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [3, 16, 13] [3, 13] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [3, 16, 13] [3, 13] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [3, 16, 13] [3, 13] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [3, 16, 13] [3, 13] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [3, 16, 13] [3, 13] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [3, 16, 13] [3, 13] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [3, 16, 13] [3, 13] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [3, 16, 13] [3, 13] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [3, 16, 13] [3, 13] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [3, 16, 13] [3, 13] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [3, 16, 13] [3, 13] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [3, 16, 13] [3, 13] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [3, 16, 13] [3, 13] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [3, 16, 13] [3, 13] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [3, 16, 13] [3, 13] denominator=, [3, 17, 14] [17, 17, 0] [17, 0] ----------- = ------- [3, 17, 14] [3, 14] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [3, 17, 14] [3, 14] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [3, 17, 14] [3, 14] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [3, 17, 14] [3, 14] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [3, 17, 14] [3, 14] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [3, 17, 14] [3, 14] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [3, 17, 14] [3, 14] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [3, 17, 14] [3, 14] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [3, 17, 14] [3, 14] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [3, 17, 14] [3, 14] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [3, 17, 14] [3, 14] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [3, 17, 14] [3, 14] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [3, 17, 14] [3, 14] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [3, 17, 14] [3, 14] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [3, 17, 14] [3, 14] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [3, 17, 14] [3, 14] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [3, 17, 14] [3, 14] denominator=, [3, 18, 1] [1, 18, 10, 0] [1, 10, 0] -------------- = ---------- [3, 18, 1] [3, 1] denominator=, [3, 18, 3] [18, 15, 0] [15, 0] ----------- = ------- [3, 18, 3] [3, 3] [1, 18, 11, 0] [1, 11, 0] -------------- = ---------- [3, 18, 3] [3, 3] [2, 18, 7, 0] [2, 7, 0] ------------- = --------- [3, 18, 3] [3, 3] denominator=, [3, 18, 5] [1, 18, 12, 0] [1, 12, 0] -------------- = ---------- [3, 18, 5] [3, 5] denominator=, [3, 18, 7] [18, 16, 0] [16, 0] ----------- = ------- [3, 18, 7] [3, 7] [1, 18, 13, 0] [1, 13, 0] -------------- = ---------- [3, 18, 7] [3, 7] [2, 18, 10, 0] [2, 10, 0] -------------- = ---------- [3, 18, 7] [3, 7] [4, 18, 4, 0] [4, 4, 0] ------------- = --------- [3, 18, 7] [3, 7] [5, 18, 1, 0] [5, 1, 0] ------------- = --------- [3, 18, 7] [3, 7] denominator=, [3, 18, 9] [1, 18, 14, 0] [1, 14, 0] -------------- = ---------- [3, 18, 9] [3, 9] [5, 18, 4, 0] [5, 4, 0] ------------- = --------- [3, 18, 9] [3, 9] denominator=, [3, 18, 11] [18, 17, 0] [17, 0] ----------- = ------- [3, 18, 11] [3, 11] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [3, 18, 11] [3, 11] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [3, 18, 11] [3, 11] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [3, 18, 11] [3, 11] [5, 18, 7, 0] [5, 7, 0] ------------- = --------- [3, 18, 11] [3, 11] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [3, 18, 11] [3, 11] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [3, 18, 11] [3, 11] denominator=, [3, 18, 13] [1, 18, 16, 0] [1, 16, 0] -------------- = ---------- [3, 18, 13] [3, 13] [5, 18, 10, 0] [5, 10, 0] -------------- = ---------- [3, 18, 13] [3, 13] [9, 18, 4, 0] [9, 4, 0] ------------- = --------- [3, 18, 13] [3, 13] denominator=, [3, 18, 15] [18, 18, 0] [18, 0] ----------- = ------- [3, 18, 15] [3, 15] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [3, 18, 15] [3, 15] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [3, 18, 15] [3, 15] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [3, 18, 15] [3, 15] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [3, 18, 15] [3, 15] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [3, 18, 15] [3, 15] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [3, 18, 15] [3, 15] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [3, 18, 15] [3, 15] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [3, 18, 15] [3, 15] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [3, 18, 15] [3, 15] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [3, 18, 15] [3, 15] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [3, 18, 15] [3, 15] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [3, 18, 15] [3, 15] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [3, 18, 15] [3, 15] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [3, 18, 15] [3, 15] denominator=, [3, 18, 17] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [3, 18, 17] [3, 17] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [3, 18, 17] [3, 17] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [3, 18, 17] [3, 17] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [3, 18, 17] [3, 17] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [3, 18, 17] [3, 17] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [3, 18, 17] [3, 17] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [3, 18, 17] [3, 17] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [3, 18, 17] [3, 17] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [3, 18, 17] [3, 17] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [3, 18, 17] [3, 17] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 11] [1, 3, 11] ------------- = ---------- [4, 4, 2] [4, 2] [3, 4, 2, 10] [3, 2, 10] ------------- = ---------- [4, 4, 2] [4, 2] [5, 4, 1, 9] [5, 1, 9] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 8] [7, 0, 8] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 8] [14, 8, 7, 0] [14, 7, 0] ------------- = ---------- [4, 8, 8] [4, 8] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [4, 8, 8] [4, 8] [1, 15, 8, 5, 0] [1, 15, 5, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [2, 16, 8, 3, 0] [2, 16, 3, 0] ---------------- = ------------- [4, 8, 8] [4, 8] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [4, 8, 8] [4, 8] [3, 17, 8, 1, 0] [3, 17, 1, 0] ---------------- = ------------- [4, 8, 8] [4, 8] denominator=, [4, 9, 2] [1, 9, 7, 0] [1, 7, 0] ------------ = --------- [4, 9, 2] [4, 2] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 9, 8] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [4, 9, 8] [4, 8] [7, 9, 7, 0] [7, 7, 0] ------------ = --------- [4, 9, 8] [4, 8] [10, 9, 6, 0] [10, 6, 0] ------------- = ---------- [4, 9, 8] [4, 8] [16, 9, 4, 0] [16, 4, 0] ------------- = ---------- [4, 9, 8] [4, 8] [1, 0, 9, 3, 0] [1, 0, 3, 0] --------------- = ------------ [4, 9, 8] [4, 8] [1, 6, 9, 1, 0] [1, 6, 1, 0] --------------- = ------------ [4, 9, 8] [4, 8] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [4, 9, 8] [4, 8] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 12, 1] [12, 11, 0] [11, 0] ----------- = ------- [4, 12, 1] [4, 1] [2, 12, 6, 0] [2, 6, 0] ------------- = --------- [4, 12, 1] [4, 1] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 10] [11, 12, 6, 0] [11, 6, 0] -------------- = ---------- [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [11, 12, 11, 0] [11, 11, 0] --------------- = ----------- [4, 12, 12] [4, 12] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 1, 12, 7, 0] [2, 1, 7, 0] ---------------- = ------------ [4, 12, 12] [4, 12] [2, 15, 12, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [4, 12, 12] [4, 12] [4, 5, 12, 1, 0] [4, 5, 1, 0] ---------------- = ------------ [4, 12, 12] [4, 12] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [4, 14, 10] [14, 14, 0] [14, 0] ----------- = ------- [4, 14, 10] [4, 10] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [4, 14, 10] [4, 10] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [4, 14, 10] [4, 10] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [4, 14, 10] [4, 10] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [4, 14, 10] [4, 10] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [4, 14, 10] [4, 10] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [4, 14, 10] [4, 10] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [4, 14, 10] [4, 10] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [4, 14, 10] [4, 10] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [4, 14, 10] [4, 10] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [4, 14, 10] [4, 10] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [4, 14, 10] [4, 10] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [4, 14, 10] [4, 10] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [4, 14, 10] [4, 10] denominator=, [4, 15, 11] [15, 15, 0] [15, 0] ----------- = ------- [4, 15, 11] [4, 11] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [4, 15, 11] [4, 11] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [4, 15, 11] [4, 11] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [4, 15, 11] [4, 11] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [4, 15, 11] [4, 11] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [4, 15, 11] [4, 11] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [4, 15, 11] [4, 11] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [4, 15, 11] [4, 11] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [4, 15, 11] [4, 11] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [4, 15, 11] [4, 11] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [4, 15, 11] [4, 11] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [4, 15, 11] [4, 11] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [4, 15, 11] [4, 11] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [4, 15, 11] [4, 11] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [4, 15, 11] [4, 11] denominator=, [4, 16, 1] [16, 14, 0] [14, 0] ----------- = ------- [4, 16, 1] [4, 1] denominator=, [4, 16, 12] [16, 16, 0] [16, 0] ----------- = ------- [4, 16, 12] [4, 12] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [4, 16, 12] [4, 12] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [4, 16, 12] [4, 12] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [4, 16, 12] [4, 12] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [4, 16, 12] [4, 12] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [4, 16, 12] [4, 12] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [4, 16, 12] [4, 12] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [4, 16, 12] [4, 12] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [4, 16, 12] [4, 12] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [4, 16, 12] [4, 12] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [4, 16, 12] [4, 12] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [4, 16, 12] [4, 12] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [4, 16, 12] [4, 12] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [4, 16, 12] [4, 12] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [4, 16, 12] [4, 12] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [4, 16, 12] [4, 12] denominator=, [4, 16, 14] [1, 7, 16, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [4, 16, 14] [4, 14] denominator=, [4, 16, 16] [15, 16, 14, 0] [15, 14, 0] --------------- = ----------- [4, 16, 16] [4, 16] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [1, 18, 16, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [4, 16, 16] [4, 16] [3, 2, 16, 6, 0] [3, 2, 6, 0] ---------------- = ------------ [4, 16, 16] [4, 16] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [4, 16, 16] [4, 16] [4, 5, 16, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [4, 16, 16] [4, 16] denominator=, [4, 17, 13] [17, 17, 0] [17, 0] ----------- = ------- [4, 17, 13] [4, 13] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [4, 17, 13] [4, 13] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [4, 17, 13] [4, 13] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [4, 17, 13] [4, 13] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [4, 17, 13] [4, 13] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [4, 17, 13] [4, 13] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [4, 17, 13] [4, 13] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [4, 17, 13] [4, 13] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [4, 17, 13] [4, 13] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [4, 17, 13] [4, 13] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [4, 17, 13] [4, 13] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [4, 17, 13] [4, 13] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [4, 17, 13] [4, 13] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [4, 17, 13] [4, 13] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [4, 17, 13] [4, 13] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [4, 17, 13] [4, 13] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [4, 17, 13] [4, 13] denominator=, [4, 18, 4] [18, 16, 0] [16, 0] ----------- = ------- [4, 18, 4] [4, 4] [1, 18, 13, 0] [1, 13, 0] -------------- = ---------- [4, 18, 4] [4, 4] [2, 18, 10, 0] [2, 10, 0] -------------- = ---------- [4, 18, 4] [4, 4] [3, 18, 7, 0] [3, 7, 0] ------------- = --------- [4, 18, 4] [4, 4] [5, 18, 1, 0] [5, 1, 0] ------------- = --------- [4, 18, 4] [4, 4] denominator=, [4, 18, 9] [18, 17, 0] [17, 0] ----------- = ------- [4, 18, 9] [4, 9] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [4, 18, 9] [4, 9] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [4, 18, 9] [4, 9] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [4, 18, 9] [4, 9] [5, 18, 7, 0] [5, 7, 0] ------------- = --------- [4, 18, 9] [4, 9] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [4, 18, 9] [4, 9] [7, 18, 3, 0] [7, 3, 0] ------------- = --------- [4, 18, 9] [4, 9] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [4, 18, 9] [4, 9] denominator=, [4, 18, 14] [18, 18, 0] [18, 0] ----------- = ------- [4, 18, 14] [4, 14] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [4, 18, 14] [4, 14] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [4, 18, 14] [4, 14] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [4, 18, 14] [4, 14] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [4, 18, 14] [4, 14] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [4, 18, 14] [4, 14] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [4, 18, 14] [4, 14] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [4, 18, 14] [4, 14] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [4, 18, 14] [4, 14] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [4, 18, 14] [4, 14] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [4, 18, 14] [4, 14] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [4, 18, 14] [4, 14] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [4, 18, 14] [4, 14] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [4, 18, 14] [4, 14] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [4, 18, 14] [4, 14] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [4, 18, 14] [4, 14] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 6, 5] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [5, 6, 5] [5, 5] [9, 6, 4, 0] [9, 4, 0] ------------ = --------- [5, 6, 5] [5, 5] [13, 6, 3, 0] [13, 3, 0] ------------- = ---------- [5, 6, 5] [5, 5] [17, 6, 2, 0] [17, 2, 0] ------------- = ---------- [5, 6, 5] [5, 5] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [5, 6, 5] [5, 5] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 9] [1, 11, 10, 2, 0] [1, 11, 2, 0] ----------------- = ------------- [5, 10, 9] [5, 9] denominator=, [5, 10, 10] [15, 10, 9, 0] [15, 9, 0] -------------- = ---------- [5, 10, 10] [5, 10] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [1, 16, 10, 7, 0] [1, 16, 7, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [3, 18, 10, 3, 0] [3, 18, 3, 0] ----------------- = ------------- [5, 10, 10] [5, 10] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [5, 10, 10] [5, 10] [5, 0, 10, 1, 0] [5, 0, 1, 0] ---------------- = ------------ [5, 10, 10] [5, 10] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 14, 13] [18, 14, 9, 0] [18, 9, 0] -------------- = ---------- [5, 14, 13] [5, 13] [1, 12, 14, 5, 0] [1, 12, 5, 0] ----------------- = ------------- [5, 14, 13] [5, 13] [2, 6, 14, 1, 0] [2, 6, 1, 0] ---------------- = ------------ [5, 14, 13] [5, 13] denominator=, [5, 15, 3] [15, 14, 0] [14, 0] ----------- = ------- [5, 15, 3] [5, 3] denominator=, [5, 15, 10] [15, 15, 0] [15, 0] ----------- = ------- [5, 15, 10] [5, 10] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [5, 15, 10] [5, 10] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [5, 15, 10] [5, 10] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [5, 15, 10] [5, 10] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [5, 15, 10] [5, 10] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [5, 15, 10] [5, 10] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [5, 15, 10] [5, 10] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [5, 15, 10] [5, 10] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [5, 15, 10] [5, 10] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [5, 15, 10] [5, 10] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [5, 15, 10] [5, 10] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [5, 15, 10] [5, 10] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [5, 15, 10] [5, 10] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [5, 15, 10] [5, 10] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [5, 15, 10] [5, 10] denominator=, [5, 15, 15] [12, 15, 14, 0] [12, 14, 0] --------------- = ----------- [5, 15, 15] [5, 15] [1, 0, 15, 13, 0] [1, 0, 13, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [1, 14, 15, 11, 0] [1, 14, 11, 0] ------------------ = -------------- [5, 15, 15] [5, 15] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [2, 16, 15, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [3, 4, 15, 7, 0] [3, 4, 7, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [4, 6, 15, 4, 0] [4, 6, 4, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [4, 13, 15, 3, 0] [4, 13, 3, 0] ----------------- = ------------- [5, 15, 15] [5, 15] [5, 1, 15, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [5, 15, 15] [5, 15] [5, 8, 15, 1, 0] [5, 8, 1, 0] ---------------- = ------------ [5, 15, 15] [5, 15] denominator=, [5, 16, 11] [16, 16, 0] [16, 0] ----------- = ------- [5, 16, 11] [5, 11] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [5, 16, 11] [5, 11] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [5, 16, 11] [5, 11] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [5, 16, 11] [5, 11] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [5, 16, 11] [5, 11] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [5, 16, 11] [5, 11] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [5, 16, 11] [5, 11] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [5, 16, 11] [5, 11] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [5, 16, 11] [5, 11] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [5, 16, 11] [5, 11] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [5, 16, 11] [5, 11] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [5, 16, 11] [5, 11] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [5, 16, 11] [5, 11] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [5, 16, 11] [5, 11] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [5, 16, 11] [5, 11] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [5, 16, 11] [5, 11] denominator=, [5, 17, 12] [17, 17, 0] [17, 0] ----------- = ------- [5, 17, 12] [5, 12] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [5, 17, 12] [5, 12] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [5, 17, 12] [5, 12] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [5, 17, 12] [5, 12] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [5, 17, 12] [5, 12] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [5, 17, 12] [5, 12] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [5, 17, 12] [5, 12] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [5, 17, 12] [5, 12] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [5, 17, 12] [5, 12] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [5, 17, 12] [5, 12] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [5, 17, 12] [5, 12] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [5, 17, 12] [5, 12] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [5, 17, 12] [5, 12] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [5, 17, 12] [5, 12] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [5, 17, 12] [5, 12] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [5, 17, 12] [5, 12] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [5, 17, 12] [5, 12] denominator=, [5, 18, 1] [18, 16, 0] [16, 0] ----------- = ------- [5, 18, 1] [5, 1] [1, 18, 13, 0] [1, 13, 0] -------------- = ---------- [5, 18, 1] [5, 1] [2, 18, 10, 0] [2, 10, 0] -------------- = ---------- [5, 18, 1] [5, 1] [3, 18, 7, 0] [3, 7, 0] ------------- = --------- [5, 18, 1] [5, 1] [4, 18, 4, 0] [4, 4, 0] ------------- = --------- [5, 18, 1] [5, 1] denominator=, [5, 18, 3] [2, 18, 11, 0] [2, 11, 0] -------------- = ---------- [5, 18, 3] [5, 3] denominator=, [5, 18, 4] [1, 18, 14, 0] [1, 14, 0] -------------- = ---------- [5, 18, 4] [5, 4] [3, 18, 9, 0] [3, 9, 0] ------------- = --------- [5, 18, 4] [5, 4] denominator=, [5, 18, 5] [2, 18, 12, 0] [2, 12, 0] -------------- = ---------- [5, 18, 5] [5, 5] denominator=, [5, 18, 7] [18, 17, 0] [17, 0] ----------- = ------- [5, 18, 7] [5, 7] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [5, 18, 7] [5, 7] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [5, 18, 7] [5, 7] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [5, 18, 7] [5, 7] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [5, 18, 7] [5, 7] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [5, 18, 7] [5, 7] [7, 18, 3, 0] [7, 3, 0] ------------- = --------- [5, 18, 7] [5, 7] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [5, 18, 7] [5, 7] denominator=, [5, 18, 9] [2, 18, 14, 0] [2, 14, 0] -------------- = ---------- [5, 18, 9] [5, 9] [8, 18, 4, 0] [8, 4, 0] ------------- = --------- [5, 18, 9] [5, 9] denominator=, [5, 18, 10] [1, 18, 16, 0] [1, 16, 0] -------------- = ---------- [5, 18, 10] [5, 10] [3, 18, 13, 0] [3, 13, 0] -------------- = ---------- [5, 18, 10] [5, 10] [7, 18, 7, 0] [7, 7, 0] ------------- = --------- [5, 18, 10] [5, 10] [9, 18, 4, 0] [9, 4, 0] ------------- = --------- [5, 18, 10] [5, 10] denominator=, [5, 18, 11] [2, 18, 15, 0] [2, 15, 0] -------------- = ---------- [5, 18, 11] [5, 11] [8, 18, 7, 0] [8, 7, 0] ------------- = --------- [5, 18, 11] [5, 11] denominator=, [5, 18, 13] [18, 18, 0] [18, 0] ----------- = ------- [5, 18, 13] [5, 13] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [5, 18, 13] [5, 13] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [5, 18, 13] [5, 13] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [5, 18, 13] [5, 13] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [5, 18, 13] [5, 13] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [5, 18, 13] [5, 13] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [5, 18, 13] [5, 13] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [5, 18, 13] [5, 13] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [5, 18, 13] [5, 13] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [5, 18, 13] [5, 13] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [5, 18, 13] [5, 13] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [5, 18, 13] [5, 13] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [5, 18, 13] [5, 13] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [5, 18, 13] [5, 13] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [5, 18, 13] [5, 13] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [5, 18, 13] [5, 13] denominator=, [5, 18, 15] [2, 18, 17, 0] [2, 17, 0] -------------- = ---------- [5, 18, 15] [5, 15] [8, 18, 13, 0] [8, 13, 0] -------------- = ---------- [5, 18, 15] [5, 15] [14, 18, 9, 0] [14, 9, 0] -------------- = ---------- [5, 18, 15] [5, 15] [1, 1, 18, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [5, 18, 15] [5, 15] [1, 7, 18, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [5, 18, 15] [5, 15] denominator=, [5, 18, 16] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [5, 18, 16] [5, 16] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [5, 18, 16] [5, 16] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [5, 18, 16] [5, 16] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [5, 18, 16] [5, 16] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [5, 18, 16] [5, 16] [15, 18, 11, 0] [15, 11, 0] --------------- = ----------- [5, 18, 16] [5, 16] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [5, 18, 16] [5, 16] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [5, 18, 16] [5, 16] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [5, 18, 16] [5, 16] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [5, 18, 16] [5, 16] [1, 12, 18, 3, 0] [1, 12, 3, 0] ----------------- = ------------- [5, 18, 16] [5, 16] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [5, 18, 16] [5, 16] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [5, 18, 16] [5, 16] denominator=, [5, 18, 17] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [5, 18, 17] [5, 17] [8, 18, 16, 0] [8, 16, 0] -------------- = ---------- [5, 18, 17] [5, 17] [14, 18, 14, 0] [14, 14, 0] --------------- = ----------- [5, 18, 17] [5, 17] [1, 1, 18, 12, 0] [1, 1, 12, 0] ----------------- = ------------- [5, 18, 17] [5, 17] [1, 7, 18, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [5, 18, 17] [5, 17] [1, 13, 18, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [5, 18, 17] [5, 17] [2, 0, 18, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [5, 18, 17] [5, 17] [2, 6, 18, 4, 0] [2, 6, 4, 0] ---------------- = ------------ [5, 18, 17] [5, 17] [2, 12, 18, 2, 0] [2, 12, 2, 0] ----------------- = ------------- [5, 18, 17] [5, 17] [2, 18, 18, 0, 0] [2, 18, 0, 0] ----------------- = ------------- [5, 18, 17] [5, 17] denominator=, [6, 4, 4] [1, 15, 4, 3, 0] [1, 15, 3, 0] ---------------- = ------------- [6, 4, 4] [6, 4] [4, 14, 4, 1, 0] [4, 14, 1, 0] ---------------- = ------------- [6, 4, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 7, 6] [1, 10, 7, 1, 0] [1, 10, 1, 0] ---------------- = ------------- [6, 7, 6] [6, 6] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 8, 8] [1, 16, 8, 6, 0] [1, 16, 6, 0] ---------------- = ------------- [6, 8, 8] [6, 8] [4, 17, 8, 2, 0] [4, 17, 2, 0] ---------------- = ------------- [6, 8, 8] [6, 8] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 12, 1] [2, 12, 8, 0] [2, 8, 0] ------------- = --------- [6, 12, 1] [6, 1] denominator=, [6, 12, 2] [1, 12, 10, 0] [1, 10, 0] -------------- = ---------- [6, 12, 2] [6, 2] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 12, 8] [16, 12, 1, 0] [16, 1, 0] -------------- = ---------- [6, 12, 8] [6, 8] denominator=, [6, 12, 10] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [6, 12, 10] [6, 10] [11, 12, 8, 0] [11, 8, 0] -------------- = ---------- [6, 12, 10] [6, 10] [16, 12, 6, 0] [16, 6, 0] -------------- = ---------- [6, 12, 10] [6, 10] [1, 2, 12, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [6, 12, 10] [6, 10] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [6, 12, 10] [6, 10] denominator=, [6, 12, 11] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [6, 12, 11] [6, 11] [10, 12, 10, 0] [10, 10, 0] --------------- = ----------- [6, 12, 11] [6, 11] [14, 12, 9, 0] [14, 9, 0] -------------- = ---------- [6, 12, 11] [6, 11] [18, 12, 8, 0] [18, 8, 0] -------------- = ---------- [6, 12, 11] [6, 11] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [6, 12, 11] [6, 11] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [6, 12, 11] [6, 11] [1, 15, 12, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [6, 12, 11] [6, 11] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [6, 12, 11] [6, 11] [2, 4, 12, 2, 0] [2, 4, 2, 0] ---------------- = ------------ [6, 12, 11] [6, 11] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [6, 12, 11] [6, 11] denominator=, [6, 12, 12] [16, 12, 11, 0] [16, 11, 0] --------------- = ----------- [6, 12, 12] [6, 12] [1, 17, 12, 9, 0] [1, 17, 9, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 18, 12, 7, 0] [2, 18, 7, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [4, 0, 12, 5, 0] [4, 0, 5, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [5, 1, 12, 3, 0] [5, 1, 3, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [6, 2, 12, 1, 0] [6, 2, 1, 0] ---------------- = ------------ [6, 12, 12] [6, 12] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [6, 15, 9] [15, 15, 0] [15, 0] ----------- = ------- [6, 15, 9] [6, 9] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [6, 15, 9] [6, 9] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [6, 15, 9] [6, 9] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [6, 15, 9] [6, 9] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [6, 15, 9] [6, 9] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [6, 15, 9] [6, 9] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [6, 15, 9] [6, 9] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [6, 15, 9] [6, 9] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [6, 15, 9] [6, 9] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [6, 15, 9] [6, 9] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [6, 15, 9] [6, 9] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [6, 15, 9] [6, 9] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [6, 15, 9] [6, 9] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [6, 15, 9] [6, 9] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [6, 15, 9] [6, 9] denominator=, [6, 16, 10] [16, 16, 0] [16, 0] ----------- = ------- [6, 16, 10] [6, 10] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [6, 16, 10] [6, 10] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [6, 16, 10] [6, 10] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [6, 16, 10] [6, 10] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [6, 16, 10] [6, 10] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [6, 16, 10] [6, 10] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [6, 16, 10] [6, 10] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [6, 16, 10] [6, 10] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [6, 16, 10] [6, 10] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [6, 16, 10] [6, 10] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [6, 16, 10] [6, 10] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [6, 16, 10] [6, 10] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [6, 16, 10] [6, 10] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [6, 16, 10] [6, 10] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [6, 16, 10] [6, 10] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [6, 16, 10] [6, 10] denominator=, [6, 16, 14] [1, 18, 16, 1, 0] [1, 18, 1, 0] ----------------- = ------------- [6, 16, 14] [6, 14] denominator=, [6, 16, 16] [1, 18, 16, 12, 0] [1, 18, 12, 0] ------------------ = -------------- [6, 16, 16] [6, 16] [5, 4, 16, 4, 0] [5, 4, 4, 0] ---------------- = ------------ [6, 16, 16] [6, 16] denominator=, [6, 17, 11] [17, 17, 0] [17, 0] ----------- = ------- [6, 17, 11] [6, 11] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [6, 17, 11] [6, 11] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [6, 17, 11] [6, 11] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [6, 17, 11] [6, 11] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [6, 17, 11] [6, 11] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [6, 17, 11] [6, 11] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [6, 17, 11] [6, 11] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [6, 17, 11] [6, 11] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [6, 17, 11] [6, 11] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [6, 17, 11] [6, 11] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [6, 17, 11] [6, 11] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [6, 17, 11] [6, 11] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [6, 17, 11] [6, 11] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [6, 17, 11] [6, 11] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [6, 17, 11] [6, 11] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [6, 17, 11] [6, 11] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [6, 17, 11] [6, 11] denominator=, [6, 17, 16] [1, 12, 17, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [6, 17, 16] [6, 16] [2, 18, 17, 2, 0] [2, 18, 2, 0] ----------------- = ------------- [6, 17, 16] [6, 16] denominator=, [6, 18, 5] [18, 17, 0] [17, 0] ----------- = ------- [6, 18, 5] [6, 5] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [6, 18, 5] [6, 5] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [6, 18, 5] [6, 5] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [6, 18, 5] [6, 5] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [6, 18, 5] [6, 5] [5, 18, 7, 0] [5, 7, 0] ------------- = --------- [6, 18, 5] [6, 5] [7, 18, 3, 0] [7, 3, 0] ------------- = --------- [6, 18, 5] [6, 5] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [6, 18, 5] [6, 5] denominator=, [6, 18, 12] [18, 18, 0] [18, 0] ----------- = ------- [6, 18, 12] [6, 12] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [6, 18, 12] [6, 12] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [6, 18, 12] [6, 12] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [6, 18, 12] [6, 12] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [6, 18, 12] [6, 12] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [6, 18, 12] [6, 12] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [6, 18, 12] [6, 12] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [6, 18, 12] [6, 12] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [6, 18, 12] [6, 12] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [6, 18, 12] [6, 12] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [6, 18, 12] [6, 12] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [6, 18, 12] [6, 12] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [6, 18, 12] [6, 12] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [6, 18, 12] [6, 12] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [6, 18, 12] [6, 12] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [6, 18, 12] [6, 12] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [6, 18, 12] [6, 12] denominator=, [7, 6, 5] [18, 6, 3, 0] [18, 3, 0] ------------- = ---------- [7, 6, 5] [7, 5] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 9, 5] [2, 9, 8, 0] [2, 8, 0] ------------ = --------- [7, 9, 5] [7, 5] [12, 9, 2, 0] [12, 2, 0] ------------- = ---------- [7, 9, 5] [7, 5] denominator=, [7, 9, 7] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [7, 9, 7] [7, 7] [4, 9, 8, 0] [4, 8, 0] ------------ = --------- [7, 9, 7] [7, 7] [10, 9, 6, 0] [10, 6, 0] ------------- = ---------- [7, 9, 7] [7, 7] [13, 9, 5, 0] [13, 5, 0] ------------- = ---------- [7, 9, 7] [7, 7] [16, 9, 4, 0] [16, 4, 0] ------------- = ---------- [7, 9, 7] [7, 7] [1, 0, 9, 3, 0] [1, 0, 3, 0] --------------- = ------------ [7, 9, 7] [7, 7] [1, 6, 9, 1, 0] [1, 6, 1, 0] --------------- = ------------ [7, 9, 7] [7, 7] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [7, 9, 7] [7, 7] denominator=, [7, 9, 8] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [7, 9, 8] [7, 8] [12, 9, 7, 0] [12, 7, 0] ------------- = ---------- [7, 9, 8] [7, 8] [17, 9, 6, 0] [17, 6, 0] ------------- = ---------- [7, 9, 8] [7, 8] [1, 8, 9, 4, 0] [1, 8, 4, 0] --------------- = ------------ [7, 9, 8] [7, 8] [1, 13, 9, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [7, 9, 8] [7, 8] [2, 4, 9, 1, 0] [2, 4, 1, 0] --------------- = ------------ [7, 9, 8] [7, 8] [2, 9, 9, 0, 0] [2, 9, 0, 0] --------------- = ------------ [7, 9, 8] [7, 8] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 10, 9] [2, 3, 10, 2, 0] [2, 3, 2, 0] ---------------- = ------------ [7, 10, 9] [7, 9] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 12] [1, 2, 14, 7, 0] [1, 2, 7, 0] ---------------- = ------------ [7, 14, 12] [7, 12] [1, 16, 14, 2, 0] [1, 16, 2, 0] ----------------- = ------------- [7, 14, 12] [7, 12] denominator=, [7, 14, 13] [2, 4, 14, 5, 0] [2, 4, 5, 0] ---------------- = ------------ [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [17, 14, 13, 0] [17, 13, 0] --------------- = ----------- [7, 14, 14] [7, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [1, 18, 14, 11, 0] [1, 18, 11, 0] ------------------ = -------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 0, 14, 9, 0] [3, 0, 9, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 2, 14, 5, 0] [5, 2, 5, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 3, 14, 3, 0] [6, 3, 3, 0] ---------------- = ------------ [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [7, 4, 14, 1, 0] [7, 4, 1, 0] ---------------- = ------------ [7, 14, 14] [7, 14] denominator=, [7, 15, 8] [15, 15, 0] [15, 0] ----------- = ------- [7, 15, 8] [7, 8] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [7, 15, 8] [7, 8] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [7, 15, 8] [7, 8] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [7, 15, 8] [7, 8] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [7, 15, 8] [7, 8] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [7, 15, 8] [7, 8] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [7, 15, 8] [7, 8] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [7, 15, 8] [7, 8] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [7, 15, 8] [7, 8] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [7, 15, 8] [7, 8] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [7, 15, 8] [7, 8] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [7, 15, 8] [7, 8] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [7, 15, 8] [7, 8] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [7, 15, 8] [7, 8] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [7, 15, 8] [7, 8] denominator=, [7, 16, 9] [16, 16, 0] [16, 0] ----------- = ------- [7, 16, 9] [7, 9] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [7, 16, 9] [7, 9] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [7, 16, 9] [7, 9] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [7, 16, 9] [7, 9] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [7, 16, 9] [7, 9] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [7, 16, 9] [7, 9] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [7, 16, 9] [7, 9] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [7, 16, 9] [7, 9] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [7, 16, 9] [7, 9] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [7, 16, 9] [7, 9] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [7, 16, 9] [7, 9] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [7, 16, 9] [7, 9] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [7, 16, 9] [7, 9] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [7, 16, 9] [7, 9] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [7, 16, 9] [7, 9] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [7, 16, 9] [7, 9] denominator=, [7, 17, 10] [17, 17, 0] [17, 0] ----------- = ------- [7, 17, 10] [7, 10] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [7, 17, 10] [7, 10] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [7, 17, 10] [7, 10] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [7, 17, 10] [7, 10] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [7, 17, 10] [7, 10] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [7, 17, 10] [7, 10] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [7, 17, 10] [7, 10] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [7, 17, 10] [7, 10] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [7, 17, 10] [7, 10] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [7, 17, 10] [7, 10] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [7, 17, 10] [7, 10] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [7, 17, 10] [7, 10] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [7, 17, 10] [7, 10] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [7, 17, 10] [7, 10] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [7, 17, 10] [7, 10] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [7, 17, 10] [7, 10] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [7, 17, 10] [7, 10] denominator=, [7, 18, 1] [3, 18, 10, 0] [3, 10, 0] -------------- = ---------- [7, 18, 1] [7, 1] denominator=, [7, 18, 3] [18, 17, 0] [17, 0] ----------- = ------- [7, 18, 3] [7, 3] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [7, 18, 3] [7, 3] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [7, 18, 3] [7, 3] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [7, 18, 3] [7, 3] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [7, 18, 3] [7, 3] [5, 18, 7, 0] [5, 7, 0] ------------- = --------- [7, 18, 3] [7, 3] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [7, 18, 3] [7, 3] [8, 18, 1, 0] [8, 1, 0] ------------- = --------- [7, 18, 3] [7, 3] denominator=, [7, 18, 5] [3, 18, 12, 0] [3, 12, 0] -------------- = ---------- [7, 18, 5] [7, 5] denominator=, [7, 18, 7] [1, 18, 16, 0] [1, 16, 0] -------------- = ---------- [7, 18, 7] [7, 7] [3, 18, 13, 0] [3, 13, 0] -------------- = ---------- [7, 18, 7] [7, 7] [5, 18, 10, 0] [5, 10, 0] -------------- = ---------- [7, 18, 7] [7, 7] [9, 18, 4, 0] [9, 4, 0] ------------- = --------- [7, 18, 7] [7, 7] [11, 18, 1, 0] [11, 1, 0] -------------- = ---------- [7, 18, 7] [7, 7] denominator=, [7, 18, 9] [3, 18, 14, 0] [3, 14, 0] -------------- = ---------- [7, 18, 9] [7, 9] [11, 18, 4, 0] [11, 4, 0] -------------- = ---------- [7, 18, 9] [7, 9] denominator=, [7, 18, 11] [18, 18, 0] [18, 0] ----------- = ------- [7, 18, 11] [7, 11] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [7, 18, 11] [7, 11] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [7, 18, 11] [7, 11] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [7, 18, 11] [7, 11] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [7, 18, 11] [7, 11] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [7, 18, 11] [7, 11] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [7, 18, 11] [7, 11] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [7, 18, 11] [7, 11] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [7, 18, 11] [7, 11] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [7, 18, 11] [7, 11] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [7, 18, 11] [7, 11] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [7, 18, 11] [7, 11] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [7, 18, 11] [7, 11] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [7, 18, 11] [7, 11] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [7, 18, 11] [7, 11] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [7, 18, 11] [7, 11] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [7, 18, 11] [7, 11] denominator=, [7, 18, 13] [3, 18, 16, 0] [3, 16, 0] -------------- = ---------- [7, 18, 13] [7, 13] [11, 18, 10, 0] [11, 10, 0] --------------- = ----------- [7, 18, 13] [7, 13] [1, 0, 18, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [7, 18, 13] [7, 13] denominator=, [7, 18, 15] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [7, 18, 15] [7, 15] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [7, 18, 15] [7, 15] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [7, 18, 15] [7, 15] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [7, 18, 15] [7, 15] [11, 18, 13, 0] [11, 13, 0] --------------- = ----------- [7, 18, 15] [7, 15] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [7, 18, 15] [7, 15] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [7, 18, 15] [7, 15] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [7, 18, 15] [7, 15] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [7, 18, 15] [7, 15] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [7, 18, 15] [7, 15] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [7, 18, 15] [7, 15] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [7, 18, 15] [7, 15] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [7, 18, 15] [7, 15] [1, 16, 18, 1, 0] [1, 16, 1, 0] ----------------- = ------------- [7, 18, 15] [7, 15] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [7, 18, 15] [7, 15] denominator=, [7, 18, 17] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [7, 18, 17] [7, 17] [11, 18, 16, 0] [11, 16, 0] --------------- = ----------- [7, 18, 17] [7, 17] [1, 0, 18, 14, 0] [1, 0, 14, 0] ----------------- = ------------- [7, 18, 17] [7, 17] [1, 8, 18, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 18, 17] [7, 17] [1, 16, 18, 10, 0] [1, 16, 10, 0] ------------------ = -------------- [7, 18, 17] [7, 17] [2, 5, 18, 8, 0] [2, 5, 8, 0] ---------------- = ------------ [7, 18, 17] [7, 17] [2, 13, 18, 6, 0] [2, 13, 6, 0] ----------------- = ------------- [7, 18, 17] [7, 17] [3, 2, 18, 4, 0] [3, 2, 4, 0] ---------------- = ------------ [7, 18, 17] [7, 17] [3, 10, 18, 2, 0] [3, 10, 2, 0] ----------------- = ------------- [7, 18, 17] [7, 17] [3, 18, 18, 0, 0] [3, 18, 0, 0] ----------------- = ------------- [7, 18, 17] [7, 17] denominator=, [8, 3, 2] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [8, 3, 2] [8, 2] [15, 3, 1, 0] [15, 1, 0] ------------- = ---------- [8, 3, 2] [8, 2] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [8, 3, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3, 0] [2, 7, 3, 0] --------------- = ------------ [8, 4, 4] [8, 4] [6, 5, 4, 1, 0] [6, 5, 1, 0] --------------- = ------------ [8, 4, 4] [8, 4] denominator=, [8, 6, 3] [3, 6, 5, 0] [3, 5, 0] ------------ = --------- [8, 6, 3] [8, 3] [13, 6, 1, 0] [13, 1, 0] ------------- = ---------- [8, 6, 3] [8, 3] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 11] [2, 6, 11] ------------- = ---------- [8, 8, 2] [8, 2] [6, 8, 3, 10] [6, 3, 10] ------------- = ---------- [8, 8, 2] [8, 2] [10, 8, 0, 9] [10, 0, 9] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 13] [1, 7, 13] ------------- = ---------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 12] [3, 6, 12] ------------- = ---------- [8, 8, 4] [8, 4] [5, 8, 5, 11] [5, 5, 11] ------------- = ---------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 10] [7, 4, 10] ------------- = ---------- [8, 8, 4] [8, 4] [9, 8, 3, 9] [9, 3, 9] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 18] [10, 2, 18] -------------- = ----------- [8, 8, 4] [8, 4] [11, 8, 2, 8] [11, 2, 8] ------------- = ---------- [8, 8, 4] [8, 4] [13, 8, 1, 7] [13, 1, 7] ------------- = ---------- [8, 8, 4] [8, 4] [14, 8, 0, 16] [14, 0, 16] -------------- = ----------- [8, 8, 4] [8, 4] [15, 8, 0, 6] [15, 0, 6] ------------- = ---------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 14] [2, 7, 14] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 11] [6, 6, 11] ------------- = ---------- [8, 8, 6] [8, 6] [10, 8, 5, 8] [10, 5, 8] ------------- = ---------- [8, 8, 6] [8, 6] [14, 8, 4, 5] [14, 4, 5] ------------- = ---------- [8, 8, 6] [8, 6] [18, 8, 3, 2] [18, 3, 2] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 1, 18] [1, 3, 1, 18] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 7, 8, 0, 15] [1, 7, 0, 15] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 9] [1, 0, 10, 7, 0] [1, 0, 7, 0] ---------------- = ------------ [8, 10, 9] [8, 9] [1, 11, 10, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [8, 10, 9] [8, 9] [2, 3, 10, 3, 0] [2, 3, 3, 0] ---------------- = ------------ [8, 10, 9] [8, 9] [2, 14, 10, 1, 0] [2, 14, 1, 0] ----------------- = ------------- [8, 10, 9] [8, 9] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 12, 8] [1, 2, 12, 1, 0] [1, 2, 1, 0] ---------------- = ------------ [8, 12, 8] [8, 8] denominator=, [8, 12, 10] [1, 2, 12, 6, 0] [1, 2, 6, 0] ---------------- = ------------ [8, 12, 10] [8, 10] denominator=, [8, 12, 12] [1, 2, 12, 11, 0] [1, 2, 11, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [2, 9, 12, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [3, 16, 12, 7, 0] [3, 16, 7, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [5, 4, 12, 5, 0] [5, 4, 5, 0] ---------------- = ------------ [8, 12, 12] [8, 12] [6, 11, 12, 3, 0] [6, 11, 3, 0] ----------------- = ------------- [8, 12, 12] [8, 12] [7, 18, 12, 1, 0] [7, 18, 1, 0] ----------------- = ------------- [8, 12, 12] [8, 12] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 15, 7] [15, 15, 0] [15, 0] ----------- = ------- [8, 15, 7] [8, 7] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [8, 15, 7] [8, 7] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [8, 15, 7] [8, 7] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [8, 15, 7] [8, 7] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [8, 15, 7] [8, 7] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [8, 15, 7] [8, 7] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [8, 15, 7] [8, 7] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [8, 15, 7] [8, 7] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [8, 15, 7] [8, 7] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [8, 15, 7] [8, 7] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [8, 15, 7] [8, 7] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [8, 15, 7] [8, 7] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [8, 15, 7] [8, 7] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [8, 15, 7] [8, 7] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [8, 15, 7] [8, 7] denominator=, [8, 16, 8] [16, 16, 0] [16, 0] ----------- = ------- [8, 16, 8] [8, 8] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [8, 16, 8] [8, 8] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [8, 16, 8] [8, 8] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [8, 16, 8] [8, 8] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [8, 16, 8] [8, 8] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [8, 16, 8] [8, 8] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [8, 16, 8] [8, 8] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [8, 16, 8] [8, 8] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [8, 16, 8] [8, 8] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [8, 16, 8] [8, 8] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [8, 16, 8] [8, 8] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [8, 16, 8] [8, 8] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [8, 16, 8] [8, 8] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [8, 16, 8] [8, 8] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [8, 16, 8] [8, 8] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [8, 16, 8] [8, 8] denominator=, [8, 16, 12] [1, 9, 16, 1, 0] [1, 9, 1, 0] ---------------- = ------------ [8, 16, 12] [8, 12] denominator=, [8, 16, 13] [1, 5, 16, 6, 0] [1, 5, 6, 0] ---------------- = ------------ [8, 16, 13] [8, 13] denominator=, [8, 16, 14] [2, 10, 16, 1, 0] [2, 10, 1, 0] ----------------- = ------------- [8, 16, 14] [8, 14] denominator=, [8, 16, 16] [18, 16, 15, 0] [18, 15, 0] --------------- = ----------- [8, 16, 16] [8, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 0, 16, 13, 0] [2, 0, 13, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [2, 10, 16, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [3, 1, 16, 11, 0] [3, 1, 11, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [4, 2, 16, 9, 0] [4, 2, 9, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [5, 3, 16, 7, 0] [5, 3, 7, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [6, 4, 16, 5, 0] [6, 4, 5, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [6, 14, 16, 4, 0] [6, 14, 4, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 5, 16, 3, 0] [7, 5, 3, 0] ---------------- = ------------ [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [8, 6, 16, 1, 0] [8, 6, 1, 0] ---------------- = ------------ [8, 16, 16] [8, 16] denominator=, [8, 17, 9] [17, 17, 0] [17, 0] ----------- = ------- [8, 17, 9] [8, 9] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [8, 17, 9] [8, 9] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [8, 17, 9] [8, 9] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [8, 17, 9] [8, 9] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [8, 17, 9] [8, 9] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [8, 17, 9] [8, 9] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [8, 17, 9] [8, 9] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [8, 17, 9] [8, 9] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [8, 17, 9] [8, 9] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [8, 17, 9] [8, 9] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [8, 17, 9] [8, 9] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [8, 17, 9] [8, 9] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [8, 17, 9] [8, 9] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [8, 17, 9] [8, 9] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [8, 17, 9] [8, 9] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [8, 17, 9] [8, 9] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [8, 17, 9] [8, 9] denominator=, [8, 17, 16] [1, 12, 17, 11, 0] [1, 12, 11, 0] ------------------ = -------------- [8, 17, 16] [8, 16] [2, 16, 17, 6, 0] [2, 16, 6, 0] ----------------- = ------------- [8, 17, 16] [8, 16] [4, 1, 17, 1, 0] [4, 1, 1, 0] ---------------- = ------------ [8, 17, 16] [8, 16] denominator=, [8, 18, 1] [18, 17, 0] [17, 0] ----------- = ------- [8, 18, 1] [8, 1] [1, 18, 15, 0] [1, 15, 0] -------------- = ---------- [8, 18, 1] [8, 1] [2, 18, 13, 0] [2, 13, 0] -------------- = ---------- [8, 18, 1] [8, 1] [3, 18, 11, 0] [3, 11, 0] -------------- = ---------- [8, 18, 1] [8, 1] [4, 18, 9, 0] [4, 9, 0] ------------- = --------- [8, 18, 1] [8, 1] [5, 18, 7, 0] [5, 7, 0] ------------- = --------- [8, 18, 1] [8, 1] [6, 18, 5, 0] [6, 5, 0] ------------- = --------- [8, 18, 1] [8, 1] [7, 18, 3, 0] [7, 3, 0] ------------- = --------- [8, 18, 1] [8, 1] denominator=, [8, 18, 4] [2, 18, 14, 0] [2, 14, 0] -------------- = ---------- [8, 18, 4] [8, 4] [5, 18, 9, 0] [5, 9, 0] ------------- = --------- [8, 18, 4] [8, 4] denominator=, [8, 18, 7] [2, 18, 15, 0] [2, 15, 0] -------------- = ---------- [8, 18, 7] [8, 7] [5, 18, 11, 0] [5, 11, 0] -------------- = ---------- [8, 18, 7] [8, 7] [11, 18, 3, 0] [11, 3, 0] -------------- = ---------- [8, 18, 7] [8, 7] denominator=, [8, 18, 10] [18, 18, 0] [18, 0] ----------- = ------- [8, 18, 10] [8, 10] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [8, 18, 10] [8, 10] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [8, 18, 10] [8, 10] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [8, 18, 10] [8, 10] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [8, 18, 10] [8, 10] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [8, 18, 10] [8, 10] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [8, 18, 10] [8, 10] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [8, 18, 10] [8, 10] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [8, 18, 10] [8, 10] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [8, 18, 10] [8, 10] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [8, 18, 10] [8, 10] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [8, 18, 10] [8, 10] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [8, 18, 10] [8, 10] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [8, 18, 10] [8, 10] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [8, 18, 10] [8, 10] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [8, 18, 10] [8, 10] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [8, 18, 10] [8, 10] denominator=, [8, 18, 13] [2, 18, 17, 0] [2, 17, 0] -------------- = ---------- [8, 18, 13] [8, 13] [5, 18, 15, 0] [5, 15, 0] -------------- = ---------- [8, 18, 13] [8, 13] [11, 18, 11, 0] [11, 11, 0] --------------- = ----------- [8, 18, 13] [8, 13] [14, 18, 9, 0] [14, 9, 0] -------------- = ---------- [8, 18, 13] [8, 13] [1, 1, 18, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [8, 18, 13] [8, 13] [1, 4, 18, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [8, 18, 13] [8, 13] denominator=, [8, 18, 16] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [8, 18, 16] [8, 16] [5, 18, 17, 0] [5, 17, 0] -------------- = ---------- [8, 18, 16] [8, 16] [11, 18, 15, 0] [11, 15, 0] --------------- = ----------- [8, 18, 16] [8, 16] [14, 18, 14, 0] [14, 14, 0] --------------- = ----------- [8, 18, 16] [8, 16] [1, 1, 18, 12, 0] [1, 1, 12, 0] ----------------- = ------------- [8, 18, 16] [8, 16] [1, 4, 18, 11, 0] [1, 4, 11, 0] ----------------- = ------------- [8, 18, 16] [8, 16] [1, 10, 18, 9, 0] [1, 10, 9, 0] ----------------- = ------------- [8, 18, 16] [8, 16] [1, 13, 18, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [8, 18, 16] [8, 16] [2, 0, 18, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [8, 18, 16] [8, 16] [2, 3, 18, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [8, 18, 16] [8, 16] [2, 9, 18, 3, 0] [2, 9, 3, 0] ---------------- = ------------ [8, 18, 16] [8, 16] [2, 12, 18, 2, 0] [2, 12, 2, 0] ----------------- = ------------- [8, 18, 16] [8, 16] [2, 18, 18, 0, 0] [2, 18, 0, 0] ----------------- = ------------- [8, 18, 16] [8, 16] denominator=, [9, 6, 1] [2, 6, 5, 0] [2, 5, 0] ------------ = --------- [9, 6, 1] [9, 1] denominator=, [9, 6, 4] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [9, 6, 4] [9, 4] [5, 6, 5, 0] [5, 5, 0] ------------ = --------- [9, 6, 4] [9, 4] [13, 6, 3, 0] [13, 3, 0] ------------- = ---------- [9, 6, 4] [9, 4] [17, 6, 2, 0] [17, 2, 0] ------------- = ---------- [9, 6, 4] [9, 4] [1, 2, 6, 1, 0] [1, 2, 1, 0] --------------- = ------------ [9, 6, 4] [9, 4] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [9, 6, 4] [9, 4] denominator=, [9, 6, 5] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [9, 6, 5] [9, 5] [16, 6, 4, 0] [16, 4, 0] ------------- = ---------- [9, 6, 5] [9, 5] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [9, 6, 5] [9, 5] [1, 11, 6, 2, 0] [1, 11, 2, 0] ---------------- = ------------- [9, 6, 5] [9, 5] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [9, 6, 5] [9, 5] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 10, 9] [2, 14, 10, 2, 0] [2, 14, 2, 0] ----------------- = ------------- [9, 10, 9] [9, 9] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 13, 11] [1, 15, 13, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [9, 13, 11] [9, 11] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 14, 13] [1, 1, 14, 11, 0] [1, 1, 11, 0] ----------------- = ------------- [9, 14, 13] [9, 13] [1, 12, 14, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [9, 14, 13] [9, 13] [2, 4, 14, 7, 0] [2, 4, 7, 0] ---------------- = ------------ [9, 14, 13] [9, 13] [2, 15, 14, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [9, 14, 13] [9, 13] [3, 7, 14, 3, 0] [3, 7, 3, 0] ---------------- = ------------ [9, 14, 13] [9, 13] [3, 18, 14, 1, 0] [3, 18, 1, 0] ----------------- = ------------- [9, 14, 13] [9, 13] denominator=, [9, 15, 6] [15, 15, 0] [15, 0] ----------- = ------- [9, 15, 6] [9, 6] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [9, 15, 6] [9, 6] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [9, 15, 6] [9, 6] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [9, 15, 6] [9, 6] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [9, 15, 6] [9, 6] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [9, 15, 6] [9, 6] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [9, 15, 6] [9, 6] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [9, 15, 6] [9, 6] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [9, 15, 6] [9, 6] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [9, 15, 6] [9, 6] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [9, 15, 6] [9, 6] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [9, 15, 6] [9, 6] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [9, 15, 6] [9, 6] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [9, 15, 6] [9, 6] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [9, 15, 6] [9, 6] denominator=, [9, 16, 7] [16, 16, 0] [16, 0] ----------- = ------- [9, 16, 7] [9, 7] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [9, 16, 7] [9, 7] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [9, 16, 7] [9, 7] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [9, 16, 7] [9, 7] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [9, 16, 7] [9, 7] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [9, 16, 7] [9, 7] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [9, 16, 7] [9, 7] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [9, 16, 7] [9, 7] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [9, 16, 7] [9, 7] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [9, 16, 7] [9, 7] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [9, 16, 7] [9, 7] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [9, 16, 7] [9, 7] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [9, 16, 7] [9, 7] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [9, 16, 7] [9, 7] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [9, 16, 7] [9, 7] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [9, 16, 7] [9, 7] denominator=, [9, 17, 8] [17, 17, 0] [17, 0] ----------- = ------- [9, 17, 8] [9, 8] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [9, 17, 8] [9, 8] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [9, 17, 8] [9, 8] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [9, 17, 8] [9, 8] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [9, 17, 8] [9, 8] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [9, 17, 8] [9, 8] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [9, 17, 8] [9, 8] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [9, 17, 8] [9, 8] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [9, 17, 8] [9, 8] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [9, 17, 8] [9, 8] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [9, 17, 8] [9, 8] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [9, 17, 8] [9, 8] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [9, 17, 8] [9, 8] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [9, 17, 8] [9, 8] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [9, 17, 8] [9, 8] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [9, 17, 8] [9, 8] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [9, 17, 8] [9, 8] denominator=, [9, 18, 1] [4, 18, 10, 0] [4, 10, 0] -------------- = ---------- [9, 18, 1] [9, 1] denominator=, [9, 18, 3] [4, 18, 11, 0] [4, 11, 0] -------------- = ---------- [9, 18, 3] [9, 3] denominator=, [9, 18, 4] [1, 18, 16, 0] [1, 16, 0] -------------- = ---------- [9, 18, 4] [9, 4] [3, 18, 13, 0] [3, 13, 0] -------------- = ---------- [9, 18, 4] [9, 4] [5, 18, 10, 0] [5, 10, 0] -------------- = ---------- [9, 18, 4] [9, 4] [7, 18, 7, 0] [7, 7, 0] ------------- = --------- [9, 18, 4] [9, 4] [11, 18, 1, 0] [11, 1, 0] -------------- = ---------- [9, 18, 4] [9, 4] denominator=, [9, 18, 5] [4, 18, 12, 0] [4, 12, 0] -------------- = ---------- [9, 18, 5] [9, 5] denominator=, [9, 18, 7] [4, 18, 13, 0] [4, 13, 0] -------------- = ---------- [9, 18, 7] [9, 7] [14, 18, 1, 0] [14, 1, 0] -------------- = ---------- [9, 18, 7] [9, 7] denominator=, [9, 18, 9] [18, 18, 0] [18, 0] ----------- = ------- [9, 18, 9] [9, 9] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [9, 18, 9] [9, 9] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [9, 18, 9] [9, 9] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [9, 18, 9] [9, 9] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [9, 18, 9] [9, 9] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [9, 18, 9] [9, 9] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [9, 18, 9] [9, 9] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [9, 18, 9] [9, 9] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [9, 18, 9] [9, 9] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [9, 18, 9] [9, 9] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [9, 18, 9] [9, 9] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [9, 18, 9] [9, 9] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [9, 18, 9] [9, 9] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [9, 18, 9] [9, 9] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [9, 18, 9] [9, 9] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [9, 18, 9] [9, 9] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [9, 18, 9] [9, 9] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [9, 18, 9] [9, 9] denominator=, [9, 18, 11] [4, 18, 15, 0] [4, 15, 0] -------------- = ---------- [9, 18, 11] [9, 11] [14, 18, 7, 0] [14, 7, 0] -------------- = ---------- [9, 18, 11] [9, 11] denominator=, [9, 18, 13] [4, 18, 16, 0] [4, 16, 0] -------------- = ---------- [9, 18, 13] [9, 13] [14, 18, 10, 0] [14, 10, 0] --------------- = ----------- [9, 18, 13] [9, 13] [1, 5, 18, 4, 0] [1, 5, 4, 0] ---------------- = ------------ [9, 18, 13] [9, 13] denominator=, [9, 18, 14] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [9, 18, 14] [9, 14] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [9, 18, 14] [9, 14] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [9, 18, 14] [9, 14] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [9, 18, 14] [9, 14] [11, 18, 13, 0] [11, 13, 0] --------------- = ----------- [9, 18, 14] [9, 14] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [9, 18, 14] [9, 14] [15, 18, 11, 0] [15, 11, 0] --------------- = ----------- [9, 18, 14] [9, 14] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [9, 18, 14] [9, 14] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [9, 18, 14] [9, 14] [1, 4, 18, 7, 0] [1, 4, 7, 0] ---------------- = ------------ [9, 18, 14] [9, 14] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [9, 18, 14] [9, 14] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [9, 18, 14] [9, 14] [1, 12, 18, 3, 0] [1, 12, 3, 0] ----------------- = ------------- [9, 18, 14] [9, 14] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [9, 18, 14] [9, 14] [1, 16, 18, 1, 0] [1, 16, 1, 0] ----------------- = ------------- [9, 18, 14] [9, 14] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [9, 18, 14] [9, 14] denominator=, [9, 18, 15] [4, 18, 17, 0] [4, 17, 0] -------------- = ---------- [9, 18, 15] [9, 15] [14, 18, 13, 0] [14, 13, 0] --------------- = ----------- [9, 18, 15] [9, 15] [1, 5, 18, 9, 0] [1, 5, 9, 0] ---------------- = ------------ [9, 18, 15] [9, 15] [1, 15, 18, 5, 0] [1, 15, 5, 0] ----------------- = ------------- [9, 18, 15] [9, 15] [2, 6, 18, 1, 0] [2, 6, 1, 0] ---------------- = ------------ [9, 18, 15] [9, 15] denominator=, [9, 18, 17] [4, 18, 18, 0] [4, 18, 0] -------------- = ---------- [9, 18, 17] [9, 17] [14, 18, 16, 0] [14, 16, 0] --------------- = ----------- [9, 18, 17] [9, 17] [1, 5, 18, 14, 0] [1, 5, 14, 0] ----------------- = ------------- [9, 18, 17] [9, 17] [1, 15, 18, 12, 0] [1, 15, 12, 0] ------------------ = -------------- [9, 18, 17] [9, 17] [2, 6, 18, 10, 0] [2, 6, 10, 0] ----------------- = ------------- [9, 18, 17] [9, 17] [2, 16, 18, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [9, 18, 17] [9, 17] [3, 7, 18, 6, 0] [3, 7, 6, 0] ---------------- = ------------ [9, 18, 17] [9, 17] [3, 17, 18, 4, 0] [3, 17, 4, 0] ----------------- = ------------- [9, 18, 17] [9, 17] [4, 8, 18, 2, 0] [4, 8, 2, 0] ---------------- = ------------ [9, 18, 17] [9, 17] [4, 18, 18, 0, 0] [4, 18, 0, 0] ----------------- = ------------- [9, 18, 17] [9, 17] denominator=, [10, 4, 4] [2, 18, 4, 3, 0] [2, 18, 3, 0] ---------------- = ------------- [10, 4, 4] [10, 4] [7, 15, 4, 1, 0] [7, 15, 1, 0] ---------------- = ------------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4, 0] [2, 9, 4, 0] --------------- = ------------ [10, 5, 5] [10, 5] [4, 8, 5, 3, 0] [4, 8, 3, 0] --------------- = ------------ [10, 5, 5] [10, 5] [6, 7, 5, 2, 0] [6, 7, 2, 0] --------------- = ------------ [10, 5, 5] [10, 5] [8, 6, 5, 1, 0] [8, 6, 1, 0] --------------- = ------------ [10, 5, 5] [10, 5] denominator=, [10, 8, 8] [3, 0, 8, 6, 0] [3, 0, 6, 0] --------------- = ------------ [10, 8, 8] [10, 8] [7, 18, 8, 2, 0] [7, 18, 2, 0] ---------------- = ------------- [10, 8, 8] [10, 8] denominator=, [10, 9, 2] [3, 9, 7, 0] [3, 7, 0] ------------ = --------- [10, 9, 2] [10, 2] denominator=, [10, 9, 5] [3, 9, 8, 0] [3, 8, 0] ------------ = --------- [10, 9, 5] [10, 5] [17, 9, 2, 0] [17, 2, 0] ------------- = ---------- [10, 9, 5] [10, 5] denominator=, [10, 9, 6] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [10, 9, 6] [10, 6] [4, 9, 8, 0] [4, 8, 0] ------------ = --------- [10, 9, 6] [10, 6] [7, 9, 7, 0] [7, 7, 0] ------------ = --------- [10, 9, 6] [10, 6] [13, 9, 5, 0] [13, 5, 0] ------------- = ---------- [10, 9, 6] [10, 6] [16, 9, 4, 0] [16, 4, 0] ------------- = ---------- [10, 9, 6] [10, 6] [1, 0, 9, 3, 0] [1, 0, 3, 0] --------------- = ------------ [10, 9, 6] [10, 6] [1, 3, 9, 2, 0] [1, 3, 2, 0] --------------- = ------------ [10, 9, 6] [10, 6] [1, 6, 9, 1, 0] [1, 6, 1, 0] --------------- = ------------ [10, 9, 6] [10, 6] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [10, 9, 6] [10, 6] denominator=, [10, 9, 8] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [10, 9, 8] [10, 8] [17, 9, 7, 0] [17, 7, 0] ------------- = ---------- [10, 9, 8] [10, 8] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [10, 9, 8] [10, 8] [2, 0, 9, 4, 0] [2, 0, 4, 0] --------------- = ------------ [10, 9, 8] [10, 8] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [10, 9, 8] [10, 8] [3, 2, 9, 1, 0] [3, 2, 1, 0] --------------- = ------------ [10, 9, 8] [10, 8] [3, 9, 9, 0, 0] [3, 9, 0, 0] --------------- = ------------ [10, 9, 8] [10, 8] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 14] [1, 9, 14] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 13] [3, 8, 13] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 11] [7, 6, 11] -------------- = ---------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 10] [9, 5, 10] -------------- = ---------- [10, 10, 5] [10, 5] [11, 10, 4, 9] [11, 4, 9] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 18] [12, 3, 18] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 8] [13, 3, 8] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 17] [14, 2, 17] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 16] [16, 1, 16] --------------- = ----------- [10, 10, 5] [10, 5] [17, 10, 1, 6] [17, 1, 6] -------------- = ---------- [10, 10, 5] [10, 5] [18, 10, 0, 15] [18, 0, 15] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 0, 5] [1, 0, 0, 5] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 12, 6] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [10, 12, 6] [10, 6] [18, 12, 1, 0] [18, 1, 0] -------------- = ---------- [10, 12, 6] [10, 6] denominator=, [10, 12, 8] [1, 7, 12, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [10, 12, 8] [10, 8] denominator=, [10, 12, 10] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [10, 12, 10] [10, 10] [6, 12, 11, 0] [6, 11, 0] -------------- = ---------- [10, 12, 10] [10, 10] [14, 12, 9, 0] [14, 9, 0] -------------- = ---------- [10, 12, 10] [10, 10] [18, 12, 8, 0] [18, 8, 0] -------------- = ---------- [10, 12, 10] [10, 10] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [10, 12, 10] [10, 10] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [10, 12, 10] [10, 10] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [10, 12, 10] [10, 10] [1, 15, 12, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [10, 12, 10] [10, 10] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [10, 12, 10] [10, 10] [2, 8, 12, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [10, 12, 10] [10, 10] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [10, 12, 10] [10, 10] denominator=, [10, 12, 12] [1, 7, 12, 11, 0] [1, 7, 11, 0] ----------------- = ------------- [10, 12, 12] [10, 12] [3, 1, 12, 9, 0] [3, 1, 9, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [4, 14, 12, 7, 0] [4, 14, 7, 0] ----------------- = ------------- [10, 12, 12] [10, 12] [6, 8, 12, 5, 0] [6, 8, 5, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [8, 2, 12, 3, 0] [8, 2, 3, 0] ---------------- = ------------ [10, 12, 12] [10, 12] [9, 15, 12, 1, 0] [9, 15, 1, 0] ----------------- = ------------- [10, 12, 12] [10, 12] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [10, 15, 5] [15, 15, 0] [15, 0] ----------- = ------- [10, 15, 5] [10, 5] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [10, 15, 5] [10, 5] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [10, 15, 5] [10, 5] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [10, 15, 5] [10, 5] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [10, 15, 5] [10, 5] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [10, 15, 5] [10, 5] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [10, 15, 5] [10, 5] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [10, 15, 5] [10, 5] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [10, 15, 5] [10, 5] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [10, 15, 5] [10, 5] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [10, 15, 5] [10, 5] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [10, 15, 5] [10, 5] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [10, 15, 5] [10, 5] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [10, 15, 5] [10, 5] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [10, 15, 5] [10, 5] denominator=, [10, 15, 10] [1, 4, 15, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [10, 15, 10] [10, 10] denominator=, [10, 15, 15] [1, 4, 15, 14, 0] [1, 4, 14, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [1, 17, 15, 13, 0] [1, 17, 13, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [2, 11, 15, 12, 0] [2, 11, 12, 0] ------------------ = -------------- [10, 15, 15] [10, 15] [3, 5, 15, 11, 0] [3, 5, 11, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [4, 12, 15, 9, 0] [4, 12, 9, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [5, 6, 15, 8, 0] [5, 6, 8, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [6, 0, 15, 7, 0] [6, 0, 7, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [6, 13, 15, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [8, 1, 15, 4, 0] [8, 1, 4, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [8, 14, 15, 3, 0] [8, 14, 3, 0] ----------------- = ------------- [10, 15, 15] [10, 15] [9, 8, 15, 2, 0] [9, 8, 2, 0] ---------------- = ------------ [10, 15, 15] [10, 15] [10, 2, 15, 1, 0] [10, 2, 1, 0] ----------------- = ------------- [10, 15, 15] [10, 15] denominator=, [10, 16, 6] [16, 16, 0] [16, 0] ----------- = ------- [10, 16, 6] [10, 6] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [10, 16, 6] [10, 6] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [10, 16, 6] [10, 6] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [10, 16, 6] [10, 6] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [10, 16, 6] [10, 6] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [10, 16, 6] [10, 6] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [10, 16, 6] [10, 6] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [10, 16, 6] [10, 6] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [10, 16, 6] [10, 6] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [10, 16, 6] [10, 6] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [10, 16, 6] [10, 6] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [10, 16, 6] [10, 6] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [10, 16, 6] [10, 6] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [10, 16, 6] [10, 6] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [10, 16, 6] [10, 6] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [10, 16, 6] [10, 6] denominator=, [10, 16, 13] [1, 5, 16, 8, 0] [1, 5, 8, 0] ---------------- = ------------ [10, 16, 13] [10, 13] [2, 0, 16, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [10, 16, 13] [10, 13] denominator=, [10, 16, 14] [3, 2, 16, 1, 0] [3, 2, 1, 0] ---------------- = ------------ [10, 16, 14] [10, 14] denominator=, [10, 16, 16] [3, 2, 16, 12, 0] [3, 2, 12, 0] ----------------- = ------------- [10, 16, 16] [10, 16] [8, 5, 16, 4, 0] [8, 5, 4, 0] ---------------- = ------------ [10, 16, 16] [10, 16] denominator=, [10, 17, 7] [17, 17, 0] [17, 0] ----------- = ------- [10, 17, 7] [10, 7] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [10, 17, 7] [10, 7] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [10, 17, 7] [10, 7] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [10, 17, 7] [10, 7] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [10, 17, 7] [10, 7] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [10, 17, 7] [10, 7] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [10, 17, 7] [10, 7] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [10, 17, 7] [10, 7] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [10, 17, 7] [10, 7] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [10, 17, 7] [10, 7] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [10, 17, 7] [10, 7] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [10, 17, 7] [10, 7] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [10, 17, 7] [10, 7] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [10, 17, 7] [10, 7] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [10, 17, 7] [10, 7] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [10, 17, 7] [10, 7] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [10, 17, 7] [10, 7] denominator=, [10, 18, 8] [18, 18, 0] [18, 0] ----------- = ------- [10, 18, 8] [10, 8] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [10, 18, 8] [10, 8] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [10, 18, 8] [10, 8] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [10, 18, 8] [10, 8] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [10, 18, 8] [10, 8] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [10, 18, 8] [10, 8] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [10, 18, 8] [10, 8] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [10, 18, 8] [10, 8] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [10, 18, 8] [10, 8] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [10, 18, 8] [10, 8] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [10, 18, 8] [10, 8] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [10, 18, 8] [10, 8] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [10, 18, 8] [10, 8] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [10, 18, 8] [10, 8] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [10, 18, 8] [10, 8] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [10, 18, 8] [10, 8] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [10, 18, 8] [10, 8] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [10, 18, 8] [10, 8] denominator=, [11, 2, 1] [1, 2, 2, 0] [1, 2, 0] ------------ = --------- [11, 2, 1] [11, 1] [1, 2, 2, 0, 0] [1, 2, 0, 0] --------------- = ------------ [11, 2, 1] [11, 1] denominator=, [11, 6, 5] [1, 9, 6, 3, 0] [1, 9, 3, 0] --------------- = ------------ [11, 6, 5] [11, 5] denominator=, [11, 7, 6] [2, 14, 7, 1, 0] [2, 14, 1, 0] ---------------- = ------------- [11, 7, 6] [11, 6] denominator=, [11, 10, 7] [1, 5, 10, 3, 0] [1, 5, 3, 0] ---------------- = ------------ [11, 10, 7] [11, 7] denominator=, [11, 10, 9] [3, 6, 10, 2, 0] [3, 6, 2, 0] ---------------- = ------------ [11, 10, 9] [11, 9] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 12, 6] [4, 12, 10, 0] [4, 10, 0] -------------- = ---------- [11, 12, 6] [11, 6] [18, 12, 2, 0] [18, 2, 0] -------------- = ---------- [11, 12, 6] [11, 6] denominator=, [11, 12, 8] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [11, 12, 8] [11, 8] [6, 12, 10, 0] [6, 10, 0] -------------- = ---------- [11, 12, 8] [11, 8] [16, 12, 6, 0] [16, 6, 0] -------------- = ---------- [11, 12, 8] [11, 8] [1, 2, 12, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [11, 12, 8] [11, 8] [1, 7, 12, 2, 0] [1, 7, 2, 0] ---------------- = ------------ [11, 12, 8] [11, 8] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [11, 12, 8] [11, 8] denominator=, [11, 12, 11] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [11, 12, 11] [11, 11] [18, 12, 10, 0] [18, 10, 0] --------------- = ----------- [11, 12, 11] [11, 11] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [1, 13, 12, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [11, 12, 11] [11, 11] [2, 1, 12, 7, 0] [2, 1, 7, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [2, 15, 12, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [11, 12, 11] [11, 11] [3, 3, 12, 4, 0] [3, 3, 4, 0] ---------------- = ------------ [11, 12, 11] [11, 11] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [11, 12, 11] [11, 11] [3, 17, 12, 2, 0] [3, 17, 2, 0] ----------------- = ------------- [11, 12, 11] [11, 11] [4, 12, 12, 0, 0] [4, 12, 0, 0] ----------------- = ------------- [11, 12, 11] [11, 11] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 14, 13] [3, 7, 14, 5, 0] [3, 7, 5, 0] ---------------- = ------------ [11, 14, 13] [11, 13] denominator=, [11, 15, 4] [15, 15, 0] [15, 0] ----------- = ------- [11, 15, 4] [11, 4] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [11, 15, 4] [11, 4] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [11, 15, 4] [11, 4] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [11, 15, 4] [11, 4] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [11, 15, 4] [11, 4] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [11, 15, 4] [11, 4] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [11, 15, 4] [11, 4] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [11, 15, 4] [11, 4] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [11, 15, 4] [11, 4] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [11, 15, 4] [11, 4] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [11, 15, 4] [11, 4] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [11, 15, 4] [11, 4] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [11, 15, 4] [11, 4] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [11, 15, 4] [11, 4] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [11, 15, 4] [11, 4] denominator=, [11, 16, 5] [16, 16, 0] [16, 0] ----------- = ------- [11, 16, 5] [11, 5] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [11, 16, 5] [11, 5] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [11, 16, 5] [11, 5] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [11, 16, 5] [11, 5] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [11, 16, 5] [11, 5] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [11, 16, 5] [11, 5] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [11, 16, 5] [11, 5] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [11, 16, 5] [11, 5] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [11, 16, 5] [11, 5] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [11, 16, 5] [11, 5] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [11, 16, 5] [11, 5] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [11, 16, 5] [11, 5] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [11, 16, 5] [11, 5] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [11, 16, 5] [11, 5] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [11, 16, 5] [11, 5] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [11, 16, 5] [11, 5] denominator=, [11, 17, 6] [17, 17, 0] [17, 0] ----------- = ------- [11, 17, 6] [11, 6] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [11, 17, 6] [11, 6] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [11, 17, 6] [11, 6] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [11, 17, 6] [11, 6] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [11, 17, 6] [11, 6] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [11, 17, 6] [11, 6] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [11, 17, 6] [11, 6] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [11, 17, 6] [11, 6] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [11, 17, 6] [11, 6] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [11, 17, 6] [11, 6] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [11, 17, 6] [11, 6] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [11, 17, 6] [11, 6] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [11, 17, 6] [11, 6] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [11, 17, 6] [11, 6] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [11, 17, 6] [11, 6] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [11, 17, 6] [11, 6] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [11, 17, 6] [11, 6] denominator=, [11, 17, 16] [2, 16, 17, 9, 0] [2, 16, 9, 0] ----------------- = ------------- [11, 17, 16] [11, 16] [5, 2, 17, 2, 0] [5, 2, 2, 0] ---------------- = ------------ [11, 17, 16] [11, 16] denominator=, [11, 18, 1] [1, 18, 16, 0] [1, 16, 0] -------------- = ---------- [11, 18, 1] [11, 1] [3, 18, 13, 0] [3, 13, 0] -------------- = ---------- [11, 18, 1] [11, 1] [5, 18, 10, 0] [5, 10, 0] -------------- = ---------- [11, 18, 1] [11, 1] [7, 18, 7, 0] [7, 7, 0] ------------- = --------- [11, 18, 1] [11, 1] [9, 18, 4, 0] [9, 4, 0] ------------- = --------- [11, 18, 1] [11, 1] denominator=, [11, 18, 3] [2, 18, 15, 0] [2, 15, 0] -------------- = ---------- [11, 18, 3] [11, 3] [5, 18, 11, 0] [5, 11, 0] -------------- = ---------- [11, 18, 3] [11, 3] [8, 18, 7, 0] [8, 7, 0] ------------- = --------- [11, 18, 3] [11, 3] denominator=, [11, 18, 4] [3, 18, 14, 0] [3, 14, 0] -------------- = ---------- [11, 18, 4] [11, 4] [7, 18, 9, 0] [7, 9, 0] ------------- = --------- [11, 18, 4] [11, 4] denominator=, [11, 18, 5] [5, 18, 12, 0] [5, 12, 0] -------------- = ---------- [11, 18, 5] [11, 5] denominator=, [11, 18, 7] [18, 18, 0] [18, 0] ----------- = ------- [11, 18, 7] [11, 7] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [11, 18, 7] [11, 7] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [11, 18, 7] [11, 7] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [11, 18, 7] [11, 7] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [11, 18, 7] [11, 7] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [11, 18, 7] [11, 7] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [11, 18, 7] [11, 7] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [11, 18, 7] [11, 7] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [11, 18, 7] [11, 7] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [11, 18, 7] [11, 7] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [11, 18, 7] [11, 7] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [11, 18, 7] [11, 7] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [11, 18, 7] [11, 7] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [11, 18, 7] [11, 7] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [11, 18, 7] [11, 7] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [11, 18, 7] [11, 7] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [11, 18, 7] [11, 7] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [11, 18, 7] [11, 7] denominator=, [11, 18, 9] [5, 18, 14, 0] [5, 14, 0] -------------- = ---------- [11, 18, 9] [11, 9] [17, 18, 4, 0] [17, 4, 0] -------------- = ---------- [11, 18, 9] [11, 9] denominator=, [11, 18, 10] [3, 18, 16, 0] [3, 16, 0] -------------- = ---------- [11, 18, 10] [11, 10] [7, 18, 13, 0] [7, 13, 0] -------------- = ---------- [11, 18, 10] [11, 10] [15, 18, 7, 0] [15, 7, 0] -------------- = ---------- [11, 18, 10] [11, 10] [1, 0, 18, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [11, 18, 10] [11, 10] denominator=, [11, 18, 11] [2, 18, 17, 0] [2, 17, 0] -------------- = ---------- [11, 18, 11] [11, 11] [5, 18, 15, 0] [5, 15, 0] -------------- = ---------- [11, 18, 11] [11, 11] [8, 18, 13, 0] [8, 13, 0] -------------- = ---------- [11, 18, 11] [11, 11] [14, 18, 9, 0] [14, 9, 0] -------------- = ---------- [11, 18, 11] [11, 11] [17, 18, 7, 0] [17, 7, 0] -------------- = ---------- [11, 18, 11] [11, 11] [1, 1, 18, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [11, 18, 11] [11, 11] [1, 7, 18, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [11, 18, 11] [11, 11] denominator=, [11, 18, 13] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [11, 18, 13] [11, 13] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [11, 18, 13] [11, 13] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [11, 18, 13] [11, 13] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [11, 18, 13] [11, 13] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [11, 18, 13] [11, 13] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [11, 18, 13] [11, 13] [15, 18, 11, 0] [15, 11, 0] --------------- = ----------- [11, 18, 13] [11, 13] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [11, 18, 13] [11, 13] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [11, 18, 13] [11, 13] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [11, 18, 13] [11, 13] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [11, 18, 13] [11, 13] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [11, 18, 13] [11, 13] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [11, 18, 13] [11, 13] [1, 12, 18, 3, 0] [1, 12, 3, 0] ----------------- = ------------- [11, 18, 13] [11, 13] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [11, 18, 13] [11, 13] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [11, 18, 13] [11, 13] denominator=, [11, 18, 15] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [11, 18, 15] [11, 15] [5, 18, 17, 0] [5, 17, 0] -------------- = ---------- [11, 18, 15] [11, 15] [8, 18, 16, 0] [8, 16, 0] -------------- = ---------- [11, 18, 15] [11, 15] [14, 18, 14, 0] [14, 14, 0] --------------- = ----------- [11, 18, 15] [11, 15] [17, 18, 13, 0] [17, 13, 0] --------------- = ----------- [11, 18, 15] [11, 15] [1, 1, 18, 12, 0] [1, 1, 12, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [1, 7, 18, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [1, 10, 18, 9, 0] [1, 10, 9, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [1, 13, 18, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [2, 0, 18, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [11, 18, 15] [11, 15] [2, 3, 18, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [11, 18, 15] [11, 15] [2, 6, 18, 4, 0] [2, 6, 4, 0] ---------------- = ------------ [11, 18, 15] [11, 15] [2, 12, 18, 2, 0] [2, 12, 2, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [2, 15, 18, 1, 0] [2, 15, 1, 0] ----------------- = ------------- [11, 18, 15] [11, 15] [2, 18, 18, 0, 0] [2, 18, 0, 0] ----------------- = ------------- [11, 18, 15] [11, 15] denominator=, [11, 18, 16] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [11, 18, 16] [11, 16] [7, 18, 17, 0] [7, 17, 0] -------------- = ---------- [11, 18, 16] [11, 16] [15, 18, 15, 0] [15, 15, 0] --------------- = ----------- [11, 18, 16] [11, 16] [1, 0, 18, 14, 0] [1, 0, 14, 0] ----------------- = ------------- [11, 18, 16] [11, 16] [1, 8, 18, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [11, 18, 16] [11, 16] [1, 12, 18, 11, 0] [1, 12, 11, 0] ------------------ = -------------- [11, 18, 16] [11, 16] [2, 1, 18, 9, 0] [2, 1, 9, 0] ---------------- = ------------ [11, 18, 16] [11, 16] [2, 5, 18, 8, 0] [2, 5, 8, 0] ---------------- = ------------ [11, 18, 16] [11, 16] [2, 13, 18, 6, 0] [2, 13, 6, 0] ----------------- = ------------- [11, 18, 16] [11, 16] [2, 17, 18, 5, 0] [2, 17, 5, 0] ----------------- = ------------- [11, 18, 16] [11, 16] [3, 6, 18, 3, 0] [3, 6, 3, 0] ---------------- = ------------ [11, 18, 16] [11, 16] [3, 10, 18, 2, 0] [3, 10, 2, 0] ----------------- = ------------- [11, 18, 16] [11, 16] [3, 18, 18, 0, 0] [3, 18, 0, 0] ----------------- = ------------- [11, 18, 16] [11, 16] denominator=, [11, 18, 17] [5, 18, 18, 0] [5, 18, 0] -------------- = ---------- [11, 18, 17] [11, 17] [17, 18, 16, 0] [17, 16, 0] --------------- = ----------- [11, 18, 17] [11, 17] [1, 10, 18, 14, 0] [1, 10, 14, 0] ------------------ = -------------- [11, 18, 17] [11, 17] [2, 3, 18, 12, 0] [2, 3, 12, 0] ----------------- = ------------- [11, 18, 17] [11, 17] [2, 15, 18, 10, 0] [2, 15, 10, 0] ------------------ = -------------- [11, 18, 17] [11, 17] [3, 8, 18, 8, 0] [3, 8, 8, 0] ---------------- = ------------ [11, 18, 17] [11, 17] [4, 1, 18, 6, 0] [4, 1, 6, 0] ---------------- = ------------ [11, 18, 17] [11, 17] [4, 13, 18, 4, 0] [4, 13, 4, 0] ----------------- = ------------- [11, 18, 17] [11, 17] [5, 6, 18, 2, 0] [5, 6, 2, 0] ---------------- = ------------ [11, 18, 17] [11, 17] [5, 18, 18, 0, 0] [5, 18, 0, 0] ----------------- = ------------- [11, 18, 17] [11, 17] denominator=, [12, 4, 2] [1, 4, 4, 0] [1, 4, 0] ------------ = --------- [12, 4, 2] [12, 2] [1, 4, 4, 0, 0] [1, 4, 0, 0] --------------- = ------------ [12, 4, 2] [12, 2] denominator=, [12, 4, 3] [2, 4, 4, 0] [2, 4, 0] ------------ = --------- [12, 4, 3] [12, 3] [1, 3, 4, 2, 0] [1, 3, 2, 0] --------------- = ------------ [12, 4, 3] [12, 3] [1, 13, 4, 1, 0] [1, 13, 1, 0] ---------------- = ------------- [12, 4, 3] [12, 3] [2, 4, 4, 0, 0] [2, 4, 0, 0] --------------- = ------------ [12, 4, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3, 0] [3, 10, 3, 0] ---------------- = ------------- [12, 4, 4] [12, 4] [9, 6, 4, 1, 0] [9, 6, 1, 0] --------------- = ------------ [12, 4, 4] [12, 4] denominator=, [12, 8, 8] [2, 2, 8, 7, 0] [2, 2, 7, 0] --------------- = ------------ [12, 8, 8] [12, 8] [3, 11, 8, 6, 0] [3, 11, 6, 0] ---------------- = ------------- [12, 8, 8] [12, 8] [5, 1, 8, 5, 0] [5, 1, 5, 0] --------------- = ------------ [12, 8, 8] [12, 8] [8, 0, 8, 3, 0] [8, 0, 3, 0] --------------- = ------------ [12, 8, 8] [12, 8] [9, 9, 8, 2, 0] [9, 9, 2, 0] --------------- = ------------ [12, 8, 8] [12, 8] [10, 18, 8, 1, 0] [10, 18, 1, 0] ----------------- = -------------- [12, 8, 8] [12, 8] denominator=, [12, 9, 2] [2, 9, 8, 0] [2, 8, 0] ------------ = --------- [12, 9, 2] [12, 2] [7, 9, 5, 0] [7, 5, 0] ------------ = --------- [12, 9, 2] [12, 2] denominator=, [12, 9, 7] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [12, 9, 7] [12, 7] [7, 9, 8, 0] [7, 8, 0] ------------ = --------- [12, 9, 7] [12, 7] [17, 9, 6, 0] [17, 6, 0] ------------- = ---------- [12, 9, 7] [12, 7] [1, 3, 9, 5, 0] [1, 3, 5, 0] --------------- = ------------ [12, 9, 7] [12, 7] [1, 8, 9, 4, 0] [1, 8, 4, 0] --------------- = ------------ [12, 9, 7] [12, 7] [1, 13, 9, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [12, 9, 7] [12, 7] [2, 4, 9, 1, 0] [2, 4, 1, 0] --------------- = ------------ [12, 9, 7] [12, 7] [2, 9, 9, 0, 0] [2, 9, 0, 0] --------------- = ------------ [12, 9, 7] [12, 7] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [1, 12, 11, 5] [1, 11, 5] -------------- = ---------- [12, 12, 2] [12, 2] [3, 12, 9, 11] [3, 9, 11] -------------- = ---------- [12, 12, 2] [12, 2] [5, 12, 7, 17] [5, 7, 17] -------------- = ---------- [12, 12, 2] [12, 2] [7, 12, 6, 4] [7, 6, 4] ------------- = --------- [12, 12, 2] [12, 2] [9, 12, 4, 10] [9, 4, 10] -------------- = ---------- [12, 12, 2] [12, 2] [11, 12, 2, 16] [11, 2, 16] --------------- = ----------- [12, 12, 2] [12, 2] [13, 12, 1, 3] [13, 1, 3] -------------- = ---------- [12, 12, 2] [12, 2] denominator=, [12, 12, 4] [1, 12, 11, 10] [1, 11, 10] --------------- = ----------- [12, 12, 4] [12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [5, 12, 8, 15] [5, 8, 15] -------------- = ---------- [12, 12, 4] [12, 4] [7, 12, 7, 8] [7, 7, 8] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [11, 12, 4, 13] [11, 4, 13] --------------- = ----------- [12, 12, 4] [12, 4] [13, 12, 3, 6] [13, 3, 6] -------------- = ---------- [12, 12, 4] [12, 4] [15, 12, 1, 18] [15, 1, 18] --------------- = ----------- [12, 12, 4] [12, 4] [17, 12, 0, 11] [17, 0, 11] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [1, 12, 11, 15] [1, 11, 15] --------------- = ----------- [12, 12, 6] [12, 6] [3, 12, 10, 14] [3, 10, 14] --------------- = ----------- [12, 12, 6] [12, 6] [5, 12, 9, 13] [5, 9, 13] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 12] [7, 8, 12] -------------- = ---------- [12, 12, 6] [12, 6] [9, 12, 7, 11] [9, 7, 11] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 10] [11, 6, 10] --------------- = ----------- [12, 12, 6] [12, 6] [13, 12, 5, 9] [13, 5, 9] -------------- = ---------- [12, 12, 6] [12, 6] [15, 12, 4, 8] [15, 4, 8] -------------- = ---------- [12, 12, 6] [12, 6] [17, 12, 3, 7] [17, 3, 7] -------------- = ---------- [12, 12, 6] [12, 6] [1, 0, 12, 2, 6] [1, 0, 2, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 2, 12, 1, 5] [1, 2, 1, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 4, 12, 0, 4] [1, 4, 0, 4] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [1, 12, 12, 1] [1, 12, 1] -------------- = ---------- [12, 12, 8] [12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [5, 12, 10, 11] [5, 10, 11] --------------- = ----------- [12, 12, 8] [12, 8] [7, 12, 9, 16] [7, 9, 16] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [11, 12, 8, 7] [11, 8, 7] -------------- = ---------- [12, 12, 8] [12, 8] [13, 12, 7, 12] [13, 7, 12] --------------- = ----------- [12, 12, 8] [12, 8] [15, 12, 6, 17] [15, 6, 17] --------------- = ----------- [12, 12, 8] [12, 8] [17, 12, 6, 3] [17, 6, 3] -------------- = ---------- [12, 12, 8] [12, 8] [1, 0, 12, 5, 8] [1, 0, 5, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 2, 12, 4, 13] [1, 2, 4, 13] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 4, 12, 3, 18] [1, 4, 3, 18] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 3, 4] [1, 6, 3, 4] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 8, 12, 2, 9] [1, 8, 2, 9] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 10, 12, 1, 14] [1, 10, 1, 14] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 12, 12, 1, 0] [1, 12, 1, 0] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 14, 12, 0, 5] [1, 14, 0, 5] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [1, 12, 12, 6] [1, 12, 6] -------------- = ---------- [12, 12, 10] [12, 10] [3, 12, 11, 17] [3, 11, 17] --------------- = ----------- [12, 12, 10] [12, 10] [5, 12, 11, 9] [5, 11, 9] -------------- = ---------- [12, 12, 10] [12, 10] [7, 12, 11, 1] [7, 11, 1] -------------- = ---------- [12, 12, 10] [12, 10] [9, 12, 10, 12] [9, 10, 12] --------------- = ----------- [12, 12, 10] [12, 10] [11, 12, 10, 4] [11, 10, 4] --------------- = ----------- [12, 12, 10] [12, 10] [13, 12, 9, 15] [13, 9, 15] --------------- = ----------- [12, 12, 10] [12, 10] [15, 12, 9, 7] [15, 9, 7] -------------- = ---------- [12, 12, 10] [12, 10] [17, 12, 8, 18] [17, 8, 18] --------------- = ----------- [12, 12, 10] [12, 10] [1, 0, 12, 8, 10] [1, 0, 8, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 2, 12, 8, 2] [1, 2, 8, 2] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 4, 12, 7, 13] [1, 4, 7, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 6, 12, 7, 5] [1, 6, 7, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 8, 12, 6, 16] [1, 8, 6, 16] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 8] [1, 10, 6, 8] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 12, 12, 6, 0] [1, 12, 6, 0] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 14, 12, 5, 11] [1, 14, 5, 11] ------------------ = -------------- [12, 12, 10] [12, 10] [1, 16, 12, 5, 3] [1, 16, 5, 3] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 18, 12, 4, 14] [1, 18, 4, 14] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 1, 12, 4, 6] [2, 1, 4, 6] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 3, 12, 3, 17] [2, 3, 3, 17] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 5, 12, 3, 9] [2, 5, 3, 9] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 7, 12, 3, 1] [2, 7, 3, 1] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 9, 12, 2, 12] [2, 9, 2, 12] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 11, 12, 2, 4] [2, 11, 2, 4] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 13, 12, 1, 15] [2, 13, 1, 15] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 15, 12, 1, 7] [2, 15, 1, 7] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 17, 12, 0, 18] [2, 17, 0, 18] ------------------ = -------------- [12, 12, 10] [12, 10] [3, 0, 12, 0, 10] [3, 0, 0, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 2, 12, 0, 2] [3, 2, 0, 2] ---------------- = ------------ [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [12, 14, 12] [1, 16, 14, 7, 0] [1, 16, 7, 0] ----------------- = ------------- [12, 14, 12] [12, 12] [3, 1, 14, 2, 0] [3, 1, 2, 0] ---------------- = ------------ [12, 14, 12] [12, 12] denominator=, [12, 15, 3] [15, 15, 0] [15, 0] ----------- = ------- [12, 15, 3] [12, 3] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [12, 15, 3] [12, 3] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [12, 15, 3] [12, 3] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [12, 15, 3] [12, 3] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [12, 15, 3] [12, 3] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [12, 15, 3] [12, 3] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [12, 15, 3] [12, 3] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [12, 15, 3] [12, 3] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [12, 15, 3] [12, 3] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [12, 15, 3] [12, 3] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [12, 15, 3] [12, 3] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [12, 15, 3] [12, 3] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [12, 15, 3] [12, 3] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [12, 15, 3] [12, 3] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [12, 15, 3] [12, 3] denominator=, [12, 15, 10] [1, 15, 15, 0] [1, 15, 0] -------------- = ---------- [12, 15, 10] [12, 10] [1, 4, 15, 5, 0] [1, 4, 5, 0] ---------------- = ------------ [12, 15, 10] [12, 10] [1, 15, 15, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [12, 15, 10] [12, 10] denominator=, [12, 15, 14] [5, 15, 15, 0] [5, 15, 0] -------------- = ---------- [12, 15, 14] [12, 14] [1, 0, 15, 13, 0] [1, 0, 13, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [1, 7, 15, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [1, 14, 15, 11, 0] [1, 14, 11, 0] ------------------ = -------------- [12, 15, 14] [12, 14] [2, 2, 15, 10, 0] [2, 2, 10, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [2, 9, 15, 9, 0] [2, 9, 9, 0] ---------------- = ------------ [12, 15, 14] [12, 14] [2, 16, 15, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [3, 4, 15, 7, 0] [3, 4, 7, 0] ---------------- = ------------ [12, 15, 14] [12, 14] [3, 11, 15, 6, 0] [3, 11, 6, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [3, 18, 15, 5, 0] [3, 18, 5, 0] ----------------- = ------------- [12, 15, 14] [12, 14] [4, 6, 15, 4, 0] [4, 6, 4, 0] ---------------- = ------------ [12, 15, 14] [12, 14] [5, 1, 15, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [12, 15, 14] [12, 14] [5, 8, 15, 1, 0] [5, 8, 1, 0] ---------------- = ------------ [12, 15, 14] [12, 14] [5, 15, 15, 0, 0] [5, 15, 0, 0] ----------------- = ------------- [12, 15, 14] [12, 14] denominator=, [12, 16, 4] [16, 16, 0] [16, 0] ----------- = ------- [12, 16, 4] [12, 4] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [12, 16, 4] [12, 4] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [12, 16, 4] [12, 4] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [12, 16, 4] [12, 4] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [12, 16, 4] [12, 4] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [12, 16, 4] [12, 4] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [12, 16, 4] [12, 4] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [12, 16, 4] [12, 4] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [12, 16, 4] [12, 4] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [12, 16, 4] [12, 4] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [12, 16, 4] [12, 4] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [12, 16, 4] [12, 4] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [12, 16, 4] [12, 4] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [12, 16, 4] [12, 4] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [12, 16, 4] [12, 4] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [12, 16, 4] [12, 4] denominator=, [12, 16, 12] [2, 3, 16, 1, 0] [2, 3, 1, 0] ---------------- = ------------ [12, 16, 12] [12, 12] denominator=, [12, 16, 14] [3, 13, 16, 1, 0] [3, 13, 1, 0] ----------------- = ------------- [12, 16, 14] [12, 14] denominator=, [12, 16, 16] [2, 3, 16, 14, 0] [2, 3, 14, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [3, 13, 16, 12, 0] [3, 13, 12, 0] ------------------ = -------------- [12, 16, 16] [12, 16] [5, 4, 16, 10, 0] [5, 4, 10, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [8, 5, 16, 6, 0] [8, 5, 6, 0] ---------------- = ------------ [12, 16, 16] [12, 16] [9, 15, 16, 4, 0] [9, 15, 4, 0] ----------------- = ------------- [12, 16, 16] [12, 16] [11, 6, 16, 2, 0] [11, 6, 2, 0] ----------------- = ------------- [12, 16, 16] [12, 16] denominator=, [12, 17, 5] [17, 17, 0] [17, 0] ----------- = ------- [12, 17, 5] [12, 5] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [12, 17, 5] [12, 5] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [12, 17, 5] [12, 5] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [12, 17, 5] [12, 5] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [12, 17, 5] [12, 5] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [12, 17, 5] [12, 5] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [12, 17, 5] [12, 5] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [12, 17, 5] [12, 5] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [12, 17, 5] [12, 5] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [12, 17, 5] [12, 5] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [12, 17, 5] [12, 5] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [12, 17, 5] [12, 5] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [12, 17, 5] [12, 5] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [12, 17, 5] [12, 5] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [12, 17, 5] [12, 5] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [12, 17, 5] [12, 5] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [12, 17, 5] [12, 5] denominator=, [12, 18, 6] [18, 18, 0] [18, 0] ----------- = ------- [12, 18, 6] [12, 6] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [12, 18, 6] [12, 6] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [12, 18, 6] [12, 6] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [12, 18, 6] [12, 6] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [12, 18, 6] [12, 6] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [12, 18, 6] [12, 6] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [12, 18, 6] [12, 6] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [12, 18, 6] [12, 6] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [12, 18, 6] [12, 6] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [12, 18, 6] [12, 6] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [12, 18, 6] [12, 6] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [12, 18, 6] [12, 6] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [12, 18, 6] [12, 6] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [12, 18, 6] [12, 6] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [12, 18, 6] [12, 6] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [12, 18, 6] [12, 6] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [12, 18, 6] [12, 6] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [12, 18, 6] [12, 6] denominator=, [13, 6, 1] [3, 6, 5, 0] [3, 5, 0] ------------ = --------- [13, 6, 1] [13, 1] [8, 6, 3, 0] [8, 3, 0] ------------ = --------- [13, 6, 1] [13, 1] denominator=, [13, 6, 3] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [13, 6, 3] [13, 3] [5, 6, 5, 0] [5, 5, 0] ------------ = --------- [13, 6, 3] [13, 3] [9, 6, 4, 0] [9, 4, 0] ------------ = --------- [13, 6, 3] [13, 3] [17, 6, 2, 0] [17, 2, 0] ------------- = ---------- [13, 6, 3] [13, 3] [1, 2, 6, 1, 0] [1, 2, 1, 0] --------------- = ------------ [13, 6, 3] [13, 3] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [13, 6, 3] [13, 3] denominator=, [13, 6, 5] [3, 6, 6, 0] [3, 6, 0] ------------ = --------- [13, 6, 5] [13, 5] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [13, 6, 5] [13, 5] [1, 14, 6, 3, 0] [1, 14, 3, 0] ---------------- = ------------- [13, 6, 5] [13, 5] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [13, 6, 5] [13, 5] [3, 6, 6, 0, 0] [3, 6, 0, 0] --------------- = ------------ [13, 6, 5] [13, 5] denominator=, [13, 8, 6] [2, 8, 8, 0] [2, 8, 0] ------------ = --------- [13, 8, 6] [13, 6] [1, 5, 8, 4, 0] [1, 5, 4, 0] --------------- = ------------ [13, 8, 6] [13, 6] [1, 16, 8, 2, 0] [1, 16, 2, 0] ---------------- = ------------- [13, 8, 6] [13, 6] [2, 8, 8, 0, 0] [2, 8, 0, 0] --------------- = ------------ [13, 8, 6] [13, 6] denominator=, [13, 9, 2] [4, 9, 7, 0] [4, 7, 0] ------------ = --------- [13, 9, 2] [13, 2] denominator=, [13, 9, 5] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [13, 9, 5] [13, 5] [4, 9, 8, 0] [4, 8, 0] ------------ = --------- [13, 9, 5] [13, 5] [7, 9, 7, 0] [7, 7, 0] ------------ = --------- [13, 9, 5] [13, 5] [10, 9, 6, 0] [10, 6, 0] ------------- = ---------- [13, 9, 5] [13, 5] [16, 9, 4, 0] [16, 4, 0] ------------- = ---------- [13, 9, 5] [13, 5] [1, 0, 9, 3, 0] [1, 0, 3, 0] --------------- = ------------ [13, 9, 5] [13, 5] [1, 3, 9, 2, 0] [1, 3, 2, 0] --------------- = ------------ [13, 9, 5] [13, 5] [1, 6, 9, 1, 0] [1, 6, 1, 0] --------------- = ------------ [13, 9, 5] [13, 5] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [13, 9, 5] [13, 5] denominator=, [13, 9, 8] [4, 9, 9, 0] [4, 9, 0] ------------ = --------- [13, 9, 8] [13, 8] [1, 3, 9, 7, 0] [1, 3, 7, 0] --------------- = ------------ [13, 9, 8] [13, 8] [1, 12, 9, 6, 0] [1, 12, 6, 0] ---------------- = ------------- [13, 9, 8] [13, 8] [2, 11, 9, 4, 0] [2, 11, 4, 0] ---------------- = ------------- [13, 9, 8] [13, 8] [3, 1, 9, 3, 0] [3, 1, 3, 0] --------------- = ------------ [13, 9, 8] [13, 8] [4, 0, 9, 1, 0] [4, 0, 1, 0] --------------- = ------------ [13, 9, 8] [13, 8] [4, 9, 9, 0, 0] [4, 9, 0, 0] --------------- = ------------ [13, 9, 8] [13, 8] denominator=, [13, 10, 9] [3, 17, 10, 2, 0] [3, 17, 2, 0] ----------------- = ------------- [13, 10, 9] [13, 9] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 14, 13] [2, 6, 14, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [13, 14, 13] [13, 13] [3, 18, 14, 5, 0] [3, 18, 5, 0] ----------------- = ------------- [13, 14, 13] [13, 13] [5, 11, 14, 1, 0] [5, 11, 1, 0] ----------------- = ------------- [13, 14, 13] [13, 13] denominator=, [13, 15, 2] [15, 15, 0] [15, 0] ----------- = ------- [13, 15, 2] [13, 2] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [13, 15, 2] [13, 2] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [13, 15, 2] [13, 2] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [13, 15, 2] [13, 2] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [13, 15, 2] [13, 2] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [13, 15, 2] [13, 2] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [13, 15, 2] [13, 2] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [13, 15, 2] [13, 2] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [13, 15, 2] [13, 2] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [13, 15, 2] [13, 2] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [13, 15, 2] [13, 2] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [13, 15, 2] [13, 2] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [13, 15, 2] [13, 2] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [13, 15, 2] [13, 2] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [13, 15, 2] [13, 2] denominator=, [13, 16, 3] [16, 16, 0] [16, 0] ----------- = ------- [13, 16, 3] [13, 3] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [13, 16, 3] [13, 3] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [13, 16, 3] [13, 3] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [13, 16, 3] [13, 3] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [13, 16, 3] [13, 3] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [13, 16, 3] [13, 3] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [13, 16, 3] [13, 3] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [13, 16, 3] [13, 3] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [13, 16, 3] [13, 3] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [13, 16, 3] [13, 3] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [13, 16, 3] [13, 3] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [13, 16, 3] [13, 3] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [13, 16, 3] [13, 3] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [13, 16, 3] [13, 3] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [13, 16, 3] [13, 3] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [13, 16, 3] [13, 3] denominator=, [13, 16, 13] [2, 0, 16, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [13, 16, 13] [13, 13] denominator=, [13, 17, 4] [17, 17, 0] [17, 0] ----------- = ------- [13, 17, 4] [13, 4] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [13, 17, 4] [13, 4] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [13, 17, 4] [13, 4] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [13, 17, 4] [13, 4] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [13, 17, 4] [13, 4] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [13, 17, 4] [13, 4] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [13, 17, 4] [13, 4] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [13, 17, 4] [13, 4] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [13, 17, 4] [13, 4] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [13, 17, 4] [13, 4] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [13, 17, 4] [13, 4] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [13, 17, 4] [13, 4] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [13, 17, 4] [13, 4] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [13, 17, 4] [13, 4] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [13, 17, 4] [13, 4] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [13, 17, 4] [13, 4] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [13, 17, 4] [13, 4] denominator=, [13, 18, 1] [6, 18, 10, 0] [6, 10, 0] -------------- = ---------- [13, 18, 1] [13, 1] denominator=, [13, 18, 3] [6, 18, 11, 0] [6, 11, 0] -------------- = ---------- [13, 18, 3] [13, 3] denominator=, [13, 18, 5] [18, 18, 0] [18, 0] ----------- = ------- [13, 18, 5] [13, 5] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [13, 18, 5] [13, 5] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [13, 18, 5] [13, 5] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [13, 18, 5] [13, 5] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [13, 18, 5] [13, 5] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [13, 18, 5] [13, 5] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [13, 18, 5] [13, 5] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [13, 18, 5] [13, 5] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [13, 18, 5] [13, 5] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [13, 18, 5] [13, 5] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [13, 18, 5] [13, 5] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [13, 18, 5] [13, 5] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [13, 18, 5] [13, 5] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [13, 18, 5] [13, 5] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [13, 18, 5] [13, 5] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [13, 18, 5] [13, 5] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [13, 18, 5] [13, 5] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [13, 18, 5] [13, 5] denominator=, [13, 18, 7] [6, 18, 13, 0] [6, 13, 0] -------------- = ---------- [13, 18, 7] [13, 7] [1, 1, 18, 1, 0] [1, 1, 1, 0] ---------------- = ------------ [13, 18, 7] [13, 7] denominator=, [13, 18, 9] [6, 18, 14, 0] [6, 14, 0] -------------- = ---------- [13, 18, 9] [13, 9] [1, 1, 18, 4, 0] [1, 1, 4, 0] ---------------- = ------------ [13, 18, 9] [13, 9] denominator=, [13, 18, 11] [6, 18, 15, 0] [6, 15, 0] -------------- = ---------- [13, 18, 11] [13, 11] [1, 1, 18, 7, 0] [1, 1, 7, 0] ---------------- = ------------ [13, 18, 11] [13, 11] denominator=, [13, 18, 12] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [13, 18, 12] [13, 12] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [13, 18, 12] [13, 12] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [13, 18, 12] [13, 12] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [13, 18, 12] [13, 12] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [13, 18, 12] [13, 12] [11, 18, 13, 0] [11, 13, 0] --------------- = ----------- [13, 18, 12] [13, 12] [15, 18, 11, 0] [15, 11, 0] --------------- = ----------- [13, 18, 12] [13, 12] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [13, 18, 12] [13, 12] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [13, 18, 12] [13, 12] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [13, 18, 12] [13, 12] [1, 4, 18, 7, 0] [1, 4, 7, 0] ---------------- = ------------ [13, 18, 12] [13, 12] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [13, 18, 12] [13, 12] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [13, 18, 12] [13, 12] [1, 12, 18, 3, 0] [1, 12, 3, 0] ----------------- = ------------- [13, 18, 12] [13, 12] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [13, 18, 12] [13, 12] [1, 16, 18, 1, 0] [1, 16, 1, 0] ----------------- = ------------- [13, 18, 12] [13, 12] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [13, 18, 12] [13, 12] denominator=, [13, 18, 13] [6, 18, 16, 0] [6, 16, 0] -------------- = ---------- [13, 18, 13] [13, 13] [1, 1, 18, 10, 0] [1, 1, 10, 0] ----------------- = ------------- [13, 18, 13] [13, 13] [1, 15, 18, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [13, 18, 13] [13, 13] denominator=, [13, 18, 15] [6, 18, 17, 0] [6, 17, 0] -------------- = ---------- [13, 18, 15] [13, 15] [1, 1, 18, 13, 0] [1, 1, 13, 0] ----------------- = ------------- [13, 18, 15] [13, 15] [1, 15, 18, 9, 0] [1, 15, 9, 0] ----------------- = ------------- [13, 18, 15] [13, 15] [2, 10, 18, 5, 0] [2, 10, 5, 0] ----------------- = ------------- [13, 18, 15] [13, 15] [3, 5, 18, 1, 0] [3, 5, 1, 0] ---------------- = ------------ [13, 18, 15] [13, 15] denominator=, [13, 18, 17] [6, 18, 18, 0] [6, 18, 0] -------------- = ---------- [13, 18, 17] [13, 17] [1, 1, 18, 16, 0] [1, 1, 16, 0] ----------------- = ------------- [13, 18, 17] [13, 17] [1, 15, 18, 14, 0] [1, 15, 14, 0] ------------------ = -------------- [13, 18, 17] [13, 17] [2, 10, 18, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [13, 18, 17] [13, 17] [3, 5, 18, 10, 0] [3, 5, 10, 0] ----------------- = ------------- [13, 18, 17] [13, 17] [4, 0, 18, 8, 0] [4, 0, 8, 0] ---------------- = ------------ [13, 18, 17] [13, 17] [4, 14, 18, 6, 0] [4, 14, 6, 0] ----------------- = ------------- [13, 18, 17] [13, 17] [5, 9, 18, 4, 0] [5, 9, 4, 0] ---------------- = ------------ [13, 18, 17] [13, 17] [6, 4, 18, 2, 0] [6, 4, 2, 0] ---------------- = ------------ [13, 18, 17] [13, 17] [6, 18, 18, 0, 0] [6, 18, 0, 0] ----------------- = ------------- [13, 18, 17] [13, 17] denominator=, [14, 4, 4] [4, 2, 4, 3, 0] [4, 2, 3, 0] --------------- = ------------ [14, 4, 4] [14, 4] [10, 16, 4, 1, 0] [10, 16, 1, 0] ----------------- = -------------- [14, 4, 4] [14, 4] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 8, 4] [1, 8, 8, 0] [1, 8, 0] ------------ = --------- [14, 8, 4] [14, 4] [1, 8, 8, 0, 0] [1, 8, 0, 0] --------------- = ------------ [14, 8, 4] [14, 4] denominator=, [14, 8, 7] [4, 8, 8, 0] [4, 8, 0] ------------ = --------- [14, 8, 7] [14, 7] [1, 5, 8, 6, 0] [1, 5, 6, 0] --------------- = ------------ [14, 8, 7] [14, 7] [1, 15, 8, 5, 0] [1, 15, 5, 0] ---------------- = ------------- [14, 8, 7] [14, 7] [2, 6, 8, 4, 0] [2, 6, 4, 0] --------------- = ------------ [14, 8, 7] [14, 7] [2, 16, 8, 3, 0] [2, 16, 3, 0] ---------------- = ------------- [14, 8, 7] [14, 7] [3, 7, 8, 2, 0] [3, 7, 2, 0] --------------- = ------------ [14, 8, 7] [14, 7] [3, 17, 8, 1, 0] [3, 17, 1, 0] ---------------- = ------------- [14, 8, 7] [14, 7] [4, 8, 8, 0, 0] [4, 8, 0, 0] --------------- = ------------ [14, 8, 7] [14, 7] denominator=, [14, 8, 8] [4, 3, 8, 6, 0] [4, 3, 6, 0] --------------- = ------------ [14, 8, 8] [14, 8] [11, 0, 8, 2, 0] [11, 0, 2, 0] ---------------- = ------------- [14, 8, 8] [14, 8] denominator=, [14, 12, 2] [3, 12, 10, 0] [3, 10, 0] -------------- = ---------- [14, 12, 2] [14, 2] denominator=, [14, 12, 6] [3, 12, 11, 0] [3, 11, 0] -------------- = ---------- [14, 12, 6] [14, 6] [1, 6, 12, 1, 0] [1, 6, 1, 0] ---------------- = ------------ [14, 12, 6] [14, 6] denominator=, [14, 12, 8] [1, 17, 12, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [14, 12, 8] [14, 8] denominator=, [14, 12, 9] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [14, 12, 9] [14, 9] [6, 12, 11, 0] [6, 11, 0] -------------- = ---------- [14, 12, 9] [14, 9] [10, 12, 10, 0] [10, 10, 0] --------------- = ----------- [14, 12, 9] [14, 9] [18, 12, 8, 0] [18, 8, 0] -------------- = ---------- [14, 12, 9] [14, 9] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [14, 12, 9] [14, 9] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [14, 12, 9] [14, 9] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [14, 12, 9] [14, 9] [1, 15, 12, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [14, 12, 9] [14, 9] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [14, 12, 9] [14, 9] [2, 4, 12, 2, 0] [2, 4, 2, 0] ---------------- = ------------ [14, 12, 9] [14, 9] [2, 8, 12, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [14, 12, 9] [14, 9] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [14, 12, 9] [14, 9] denominator=, [14, 12, 10] [3, 12, 12, 0] [3, 12, 0] -------------- = ---------- [14, 12, 10] [14, 10] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [14, 12, 10] [14, 10] [1, 17, 12, 6, 0] [1, 17, 6, 0] ----------------- = ------------- [14, 12, 10] [14, 10] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [14, 12, 10] [14, 10] [3, 12, 12, 0, 0] [3, 12, 0, 0] ----------------- = ------------- [14, 12, 10] [14, 10] denominator=, [14, 12, 12] [1, 17, 12, 11, 0] [1, 17, 11, 0] ------------------ = -------------- [14, 12, 12] [14, 12] [4, 4, 12, 9, 0] [4, 4, 9, 0] ---------------- = ------------ [14, 12, 12] [14, 12] [6, 10, 12, 7, 0] [6, 10, 7, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [8, 16, 12, 5, 0] [8, 16, 5, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [11, 3, 12, 3, 0] [11, 3, 3, 0] ----------------- = ------------- [14, 12, 12] [14, 12] [13, 9, 12, 1, 0] [13, 9, 1, 0] ----------------- = ------------- [14, 12, 12] [14, 12] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 7] [1, 14, 13, 16] [1, 13, 16] --------------- = ----------- [14, 14, 7] [14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [3, 14, 12, 15] [3, 12, 15] --------------- = ----------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [5, 14, 11, 14] [5, 11, 14] --------------- = ----------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [9, 14, 9, 12] [9, 9, 12] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [11, 14, 8, 11] [11, 8, 11] --------------- = ----------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [13, 14, 7, 10] [13, 7, 10] --------------- = ----------- [14, 14, 7] [14, 7] [15, 14, 6, 9] [15, 6, 9] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 18] [16, 5, 18] --------------- = ----------- [14, 14, 7] [14, 7] [17, 14, 5, 8] [17, 5, 8] -------------- = ---------- [14, 14, 7] [14, 7] [18, 14, 4, 17] [18, 4, 17] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 4, 7] [1, 0, 4, 7] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 1, 14, 3, 16] [1, 1, 3, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 3, 14, 2, 15] [1, 3, 2, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 2, 5] [1, 4, 2, 5] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 5, 14, 1, 14] [1, 5, 1, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 1, 4] [1, 6, 1, 4] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 7, 14, 0, 13] [1, 7, 0, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 0, 3] [1, 8, 0, 3] ---------------- = ------------ [14, 14, 7] [14, 7] denominator=, [14, 15, 1] [15, 15, 0] [15, 0] ----------- = ------- [14, 15, 1] [14, 1] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [14, 15, 1] [14, 1] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [14, 15, 1] [14, 1] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [14, 15, 1] [14, 1] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [14, 15, 1] [14, 1] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [14, 15, 1] [14, 1] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [14, 15, 1] [14, 1] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [14, 15, 1] [14, 1] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [14, 15, 1] [14, 1] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [14, 15, 1] [14, 1] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [14, 15, 1] [14, 1] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [14, 15, 1] [14, 1] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [14, 15, 1] [14, 1] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [14, 15, 1] [14, 1] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [14, 15, 1] [14, 1] denominator=, [14, 16, 2] [16, 16, 0] [16, 0] ----------- = ------- [14, 16, 2] [14, 2] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [14, 16, 2] [14, 2] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [14, 16, 2] [14, 2] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [14, 16, 2] [14, 2] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [14, 16, 2] [14, 2] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [14, 16, 2] [14, 2] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [14, 16, 2] [14, 2] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [14, 16, 2] [14, 2] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [14, 16, 2] [14, 2] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [14, 16, 2] [14, 2] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [14, 16, 2] [14, 2] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [14, 16, 2] [14, 2] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [14, 16, 2] [14, 2] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [14, 16, 2] [14, 2] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [14, 16, 2] [14, 2] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [14, 16, 2] [14, 2] denominator=, [14, 16, 14] [4, 5, 16, 1, 0] [4, 5, 1, 0] ---------------- = ------------ [14, 16, 14] [14, 14] denominator=, [14, 16, 16] [4, 5, 16, 12, 0] [4, 5, 12, 0] ----------------- = ------------- [14, 16, 16] [14, 16] [11, 6, 16, 4, 0] [11, 6, 4, 0] ----------------- = ------------- [14, 16, 16] [14, 16] denominator=, [14, 17, 3] [17, 17, 0] [17, 0] ----------- = ------- [14, 17, 3] [14, 3] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [14, 17, 3] [14, 3] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [14, 17, 3] [14, 3] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [14, 17, 3] [14, 3] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [14, 17, 3] [14, 3] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [14, 17, 3] [14, 3] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [14, 17, 3] [14, 3] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [14, 17, 3] [14, 3] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [14, 17, 3] [14, 3] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [14, 17, 3] [14, 3] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [14, 17, 3] [14, 3] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [14, 17, 3] [14, 3] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [14, 17, 3] [14, 3] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [14, 17, 3] [14, 3] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [14, 17, 3] [14, 3] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [14, 17, 3] [14, 3] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [14, 17, 3] [14, 3] denominator=, [14, 18, 1] [4, 18, 13, 0] [4, 13, 0] -------------- = ---------- [14, 18, 1] [14, 1] [9, 18, 7, 0] [9, 7, 0] ------------- = --------- [14, 18, 1] [14, 1] denominator=, [14, 18, 4] [18, 18, 0] [18, 0] ----------- = ------- [14, 18, 4] [14, 4] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [14, 18, 4] [14, 4] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [14, 18, 4] [14, 4] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [14, 18, 4] [14, 4] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [14, 18, 4] [14, 4] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [14, 18, 4] [14, 4] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [14, 18, 4] [14, 4] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [14, 18, 4] [14, 4] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [14, 18, 4] [14, 4] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [14, 18, 4] [14, 4] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [14, 18, 4] [14, 4] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [14, 18, 4] [14, 4] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [14, 18, 4] [14, 4] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [14, 18, 4] [14, 4] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [14, 18, 4] [14, 4] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [14, 18, 4] [14, 4] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [14, 18, 4] [14, 4] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [14, 18, 4] [14, 4] denominator=, [14, 18, 7] [4, 18, 15, 0] [4, 15, 0] -------------- = ---------- [14, 18, 7] [14, 7] [9, 18, 11, 0] [9, 11, 0] -------------- = ---------- [14, 18, 7] [14, 7] [1, 0, 18, 3, 0] [1, 0, 3, 0] ---------------- = ------------ [14, 18, 7] [14, 7] denominator=, [14, 18, 9] [2, 18, 17, 0] [2, 17, 0] -------------- = ---------- [14, 18, 9] [14, 9] [5, 18, 15, 0] [5, 15, 0] -------------- = ---------- [14, 18, 9] [14, 9] [8, 18, 13, 0] [8, 13, 0] -------------- = ---------- [14, 18, 9] [14, 9] [11, 18, 11, 0] [11, 11, 0] --------------- = ----------- [14, 18, 9] [14, 9] [17, 18, 7, 0] [17, 7, 0] -------------- = ---------- [14, 18, 9] [14, 9] [1, 1, 18, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [14, 18, 9] [14, 9] [1, 4, 18, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [14, 18, 9] [14, 9] [1, 7, 18, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [14, 18, 9] [14, 9] denominator=, [14, 18, 10] [4, 18, 16, 0] [4, 16, 0] -------------- = ---------- [14, 18, 10] [14, 10] [9, 18, 13, 0] [9, 13, 0] -------------- = ---------- [14, 18, 10] [14, 10] [1, 0, 18, 7, 0] [1, 0, 7, 0] ---------------- = ------------ [14, 18, 10] [14, 10] [1, 5, 18, 4, 0] [1, 5, 4, 0] ---------------- = ------------ [14, 18, 10] [14, 10] denominator=, [14, 18, 13] [4, 18, 17, 0] [4, 17, 0] -------------- = ---------- [14, 18, 13] [14, 13] [9, 18, 15, 0] [9, 15, 0] -------------- = ---------- [14, 18, 13] [14, 13] [1, 0, 18, 11, 0] [1, 0, 11, 0] ----------------- = ------------- [14, 18, 13] [14, 13] [1, 5, 18, 9, 0] [1, 5, 9, 0] ---------------- = ------------ [14, 18, 13] [14, 13] [1, 15, 18, 5, 0] [1, 15, 5, 0] ----------------- = ------------- [14, 18, 13] [14, 13] [2, 1, 18, 3, 0] [2, 1, 3, 0] ---------------- = ------------ [14, 18, 13] [14, 13] denominator=, [14, 18, 14] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [14, 18, 14] [14, 14] [5, 18, 17, 0] [5, 17, 0] -------------- = ---------- [14, 18, 14] [14, 14] [8, 18, 16, 0] [8, 16, 0] -------------- = ---------- [14, 18, 14] [14, 14] [11, 18, 15, 0] [11, 15, 0] --------------- = ----------- [14, 18, 14] [14, 14] [17, 18, 13, 0] [17, 13, 0] --------------- = ----------- [14, 18, 14] [14, 14] [1, 1, 18, 12, 0] [1, 1, 12, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [1, 4, 18, 11, 0] [1, 4, 11, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [1, 7, 18, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [1, 13, 18, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [1, 16, 18, 7, 0] [1, 16, 7, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [2, 0, 18, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [14, 18, 14] [14, 14] [2, 3, 18, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [14, 18, 14] [14, 14] [2, 9, 18, 3, 0] [2, 9, 3, 0] ---------------- = ------------ [14, 18, 14] [14, 14] [2, 12, 18, 2, 0] [2, 12, 2, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [2, 15, 18, 1, 0] [2, 15, 1, 0] ----------------- = ------------- [14, 18, 14] [14, 14] [2, 18, 18, 0, 0] [2, 18, 0, 0] ----------------- = ------------- [14, 18, 14] [14, 14] denominator=, [14, 18, 16] [4, 18, 18, 0] [4, 18, 0] -------------- = ---------- [14, 18, 16] [14, 16] [9, 18, 17, 0] [9, 17, 0] -------------- = ---------- [14, 18, 16] [14, 16] [1, 0, 18, 15, 0] [1, 0, 15, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [1, 5, 18, 14, 0] [1, 5, 14, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [1, 15, 18, 12, 0] [1, 15, 12, 0] ------------------ = -------------- [14, 18, 16] [14, 16] [2, 1, 18, 11, 0] [2, 1, 11, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [2, 11, 18, 9, 0] [2, 11, 9, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [2, 16, 18, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [3, 7, 18, 6, 0] [3, 7, 6, 0] ---------------- = ------------ [14, 18, 16] [14, 16] [3, 12, 18, 5, 0] [3, 12, 5, 0] ----------------- = ------------- [14, 18, 16] [14, 16] [4, 3, 18, 3, 0] [4, 3, 3, 0] ---------------- = ------------ [14, 18, 16] [14, 16] [4, 8, 18, 2, 0] [4, 8, 2, 0] ---------------- = ------------ [14, 18, 16] [14, 16] [4, 18, 18, 0, 0] [4, 18, 0, 0] ----------------- = ------------- [14, 18, 16] [14, 16] denominator=, [15, 3, 1] [1, 3, 3, 0] [1, 3, 0] ------------ = --------- [15, 3, 1] [15, 1] [8, 3, 2, 0] [8, 2, 0] ------------ = --------- [15, 3, 1] [15, 1] [1, 3, 3, 0, 0] [1, 3, 0, 0] --------------- = ------------ [15, 3, 1] [15, 1] denominator=, [15, 3, 2] [2, 3, 3, 0] [2, 3, 0] ------------ = --------- [15, 3, 2] [15, 2] [1, 9, 3, 1, 0] [1, 9, 1, 0] --------------- = ------------ [15, 3, 2] [15, 2] [2, 3, 3, 0, 0] [2, 3, 0, 0] --------------- = ------------ [15, 3, 2] [15, 2] denominator=, [15, 5, 5] [3, 13, 5, 4, 0] [3, 13, 4, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [6, 11, 5, 3, 0] [6, 11, 3, 0] ---------------- = ------------- [15, 5, 5] [15, 5] [9, 9, 5, 2, 0] [9, 9, 2, 0] --------------- = ------------ [15, 5, 5] [15, 5] [12, 7, 5, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [15, 5, 5] [15, 5] denominator=, [15, 6, 5] [2, 0, 6, 3, 0] [2, 0, 3, 0] --------------- = ------------ [15, 6, 5] [15, 5] denominator=, [15, 10, 5] [1, 10, 10, 0] [1, 10, 0] -------------- = ---------- [15, 10, 5] [15, 5] [1, 10, 10, 0, 0] [1, 10, 0, 0] ----------------- = ------------- [15, 10, 5] [15, 5] denominator=, [15, 10, 9] [5, 10, 10, 0] [5, 10, 0] -------------- = ---------- [15, 10, 9] [15, 9] [1, 6, 10, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [15, 10, 9] [15, 9] [1, 16, 10, 7, 0] [1, 16, 7, 0] ----------------- = ------------- [15, 10, 9] [15, 9] [2, 7, 10, 6, 0] [2, 7, 6, 0] ---------------- = ------------ [15, 10, 9] [15, 9] [2, 17, 10, 5, 0] [2, 17, 5, 0] ----------------- = ------------- [15, 10, 9] [15, 9] [3, 8, 10, 4, 0] [3, 8, 4, 0] ---------------- = ------------ [15, 10, 9] [15, 9] [3, 18, 10, 3, 0] [3, 18, 3, 0] ----------------- = ------------- [15, 10, 9] [15, 9] [4, 9, 10, 2, 0] [4, 9, 2, 0] ---------------- = ------------ [15, 10, 9] [15, 9] [5, 0, 10, 1, 0] [5, 0, 1, 0] ---------------- = ------------ [15, 10, 9] [15, 9] [5, 10, 10, 0, 0] [5, 10, 0, 0] ----------------- = ------------- [15, 10, 9] [15, 9] denominator=, [15, 10, 10] [2, 5, 10, 9, 0] [2, 5, 9, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [3, 14, 10, 8, 0] [3, 14, 8, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [5, 4, 10, 7, 0] [5, 4, 7, 0] ---------------- = ------------ [15, 10, 10] [15, 10] [6, 13, 10, 6, 0] [6, 13, 6, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [9, 12, 10, 4, 0] [9, 12, 4, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [11, 2, 10, 3, 0] [11, 2, 3, 0] ----------------- = ------------- [15, 10, 10] [15, 10] [12, 11, 10, 2, 0] [12, 11, 2, 0] ------------------ = -------------- [15, 10, 10] [15, 10] [14, 1, 10, 1, 0] [14, 1, 1, 0] ----------------- = ------------- [15, 10, 10] [15, 10] denominator=, [15, 14, 13] [4, 10, 14, 5, 0] [4, 10, 5, 0] ----------------- = ------------- [15, 14, 13] [15, 13] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 5] [1, 15, 14, 11] [1, 14, 11] --------------- = ----------- [15, 15, 5] [15, 5] [2, 15, 13, 17] [2, 13, 17] --------------- = ----------- [15, 15, 5] [15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [4, 15, 12, 10] [4, 12, 10] --------------- = ----------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [7, 15, 10, 9] [7, 10, 9] -------------- = ---------- [15, 15, 5] [15, 5] [8, 15, 9, 15] [8, 9, 15] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [11, 15, 7, 14] [11, 7, 14] --------------- = ----------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [13, 15, 6, 7] [13, 6, 7] -------------- = ---------- [15, 15, 5] [15, 5] [14, 15, 5, 13] [14, 5, 13] --------------- = ----------- [15, 15, 5] [15, 5] [16, 15, 4, 6] [16, 4, 6] -------------- = ---------- [15, 15, 5] [15, 5] [17, 15, 3, 12] [17, 3, 12] --------------- = ----------- [15, 15, 5] [15, 5] [18, 15, 2, 18] [18, 2, 18] --------------- = ----------- [15, 15, 5] [15, 5] [1, 0, 15, 2, 5] [1, 0, 2, 5] ---------------- = ------------ [15, 15, 5] [15, 5] [1, 2, 15, 0, 17] [1, 2, 0, 17] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 3, 15, 0, 4] [1, 3, 0, 4] ---------------- = ------------ [15, 15, 5] [15, 5] denominator=, [15, 15, 10] [1, 15, 15, 3] [1, 15, 3] -------------- = ---------- [15, 15, 10] [15, 10] [2, 15, 14, 15] [2, 14, 15] --------------- = ----------- [15, 15, 10] [15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [4, 15, 14, 1] [4, 14, 1] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [7, 15, 12, 18] [7, 12, 18] --------------- = ----------- [15, 15, 10] [15, 10] [8, 15, 12, 11] [8, 12, 11] --------------- = ----------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [11, 15, 11, 9] [11, 11, 9] --------------- = ----------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [13, 15, 10, 14] [13, 10, 14] ---------------- = ------------ [15, 15, 10] [15, 10] [14, 15, 10, 7] [14, 10, 7] --------------- = ----------- [15, 15, 10] [15, 10] [16, 15, 9, 12] [16, 9, 12] --------------- = ----------- [15, 15, 10] [15, 10] [17, 15, 9, 5] [17, 9, 5] -------------- = ---------- [15, 15, 10] [15, 10] [18, 15, 8, 17] [18, 8, 17] --------------- = ----------- [15, 15, 10] [15, 10] [1, 0, 15, 8, 10] [1, 0, 8, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 2, 15, 7, 15] [1, 2, 7, 15] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 3, 15, 7, 8] [1, 3, 7, 8] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 4, 15, 7, 1] [1, 4, 7, 1] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 5, 15, 6, 13] [1, 5, 6, 13] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 5, 18] [1, 7, 5, 18] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 8, 15, 5, 11] [1, 8, 5, 11] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 9, 15, 5, 4] [1, 9, 5, 4] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 10, 15, 4, 16] [1, 10, 4, 16] ------------------ = -------------- [15, 15, 10] [15, 10] [1, 12, 15, 4, 2] [1, 12, 4, 2] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 13, 15, 3, 14] [1, 13, 3, 14] ------------------ = -------------- [15, 15, 10] [15, 10] [1, 14, 15, 3, 7] [1, 14, 3, 7] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 15, 15, 3, 0] [1, 15, 3, 0] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 17, 15, 2, 5] [1, 17, 2, 5] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 18, 15, 1, 17] [1, 18, 1, 17] ------------------ = -------------- [15, 15, 10] [15, 10] [2, 0, 15, 1, 10] [2, 0, 1, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 1, 15, 1, 3] [2, 1, 1, 3] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 3, 15, 0, 8] [2, 3, 0, 8] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 4, 15, 0, 1] [2, 4, 0, 1] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 16, 1] [16, 16, 0] [16, 0] ----------- = ------- [15, 16, 1] [15, 1] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [15, 16, 1] [15, 1] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [15, 16, 1] [15, 1] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [15, 16, 1] [15, 1] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [15, 16, 1] [15, 1] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [15, 16, 1] [15, 1] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [15, 16, 1] [15, 1] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [15, 16, 1] [15, 1] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [15, 16, 1] [15, 1] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [15, 16, 1] [15, 1] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [15, 16, 1] [15, 1] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [15, 16, 1] [15, 1] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [15, 16, 1] [15, 1] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [15, 16, 1] [15, 1] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [15, 16, 1] [15, 1] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [15, 16, 1] [15, 1] denominator=, [15, 16, 12] [2, 16, 16, 0] [2, 16, 0] -------------- = ---------- [15, 16, 12] [15, 12] [1, 9, 16, 8, 0] [1, 9, 8, 0] ---------------- = ------------ [15, 16, 12] [15, 12] [2, 3, 16, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [15, 16, 12] [15, 12] [2, 16, 16, 0, 0] [2, 16, 0, 0] ----------------- = ------------- [15, 16, 12] [15, 12] denominator=, [15, 16, 14] [4, 16, 16, 0] [4, 16, 0] -------------- = ---------- [15, 16, 14] [15, 14] [1, 7, 16, 12, 0] [1, 7, 12, 0] ----------------- = ------------- [15, 16, 14] [15, 14] [1, 18, 16, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [15, 16, 14] [15, 14] [2, 10, 16, 8, 0] [2, 10, 8, 0] ----------------- = ------------- [15, 16, 14] [15, 14] [3, 2, 16, 6, 0] [3, 2, 6, 0] ---------------- = ------------ [15, 16, 14] [15, 14] [3, 13, 16, 4, 0] [3, 13, 4, 0] ----------------- = ------------- [15, 16, 14] [15, 14] [4, 5, 16, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [15, 16, 14] [15, 14] [4, 16, 16, 0, 0] [4, 16, 0, 0] ----------------- = ------------- [15, 16, 14] [15, 14] denominator=, [15, 17, 2] [17, 17, 0] [17, 0] ----------- = ------- [15, 17, 2] [15, 2] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [15, 17, 2] [15, 2] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [15, 17, 2] [15, 2] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [15, 17, 2] [15, 2] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [15, 17, 2] [15, 2] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [15, 17, 2] [15, 2] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [15, 17, 2] [15, 2] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [15, 17, 2] [15, 2] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [15, 17, 2] [15, 2] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [15, 17, 2] [15, 2] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [15, 17, 2] [15, 2] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [15, 17, 2] [15, 2] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [15, 17, 2] [15, 2] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [15, 17, 2] [15, 2] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [15, 17, 2] [15, 2] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [15, 17, 2] [15, 2] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [15, 17, 2] [15, 2] denominator=, [15, 17, 16] [2, 18, 17, 11, 0] [2, 18, 11, 0] ------------------ = -------------- [15, 17, 16] [15, 16] [5, 2, 17, 6, 0] [5, 2, 6, 0] ---------------- = ------------ [15, 17, 16] [15, 16] [7, 5, 17, 1, 0] [7, 5, 1, 0] ---------------- = ------------ [15, 17, 16] [15, 16] denominator=, [15, 18, 1] [7, 18, 10, 0] [7, 10, 0] -------------- = ---------- [15, 18, 1] [15, 1] denominator=, [15, 18, 3] [18, 18, 0] [18, 0] ----------- = ------- [15, 18, 3] [15, 3] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [15, 18, 3] [15, 3] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [15, 18, 3] [15, 3] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [15, 18, 3] [15, 3] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [15, 18, 3] [15, 3] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [15, 18, 3] [15, 3] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [15, 18, 3] [15, 3] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [15, 18, 3] [15, 3] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [15, 18, 3] [15, 3] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [15, 18, 3] [15, 3] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [15, 18, 3] [15, 3] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [15, 18, 3] [15, 3] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [15, 18, 3] [15, 3] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [15, 18, 3] [15, 3] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [15, 18, 3] [15, 3] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [15, 18, 3] [15, 3] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [15, 18, 3] [15, 3] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [15, 18, 3] [15, 3] denominator=, [15, 18, 5] [7, 18, 12, 0] [7, 12, 0] -------------- = ---------- [15, 18, 5] [15, 5] denominator=, [15, 18, 7] [3, 18, 16, 0] [3, 16, 0] -------------- = ---------- [15, 18, 7] [15, 7] [7, 18, 13, 0] [7, 13, 0] -------------- = ---------- [15, 18, 7] [15, 7] [11, 18, 10, 0] [11, 10, 0] --------------- = ----------- [15, 18, 7] [15, 7] [1, 0, 18, 4, 0] [1, 0, 4, 0] ---------------- = ------------ [15, 18, 7] [15, 7] [1, 4, 18, 1, 0] [1, 4, 1, 0] ---------------- = ------------ [15, 18, 7] [15, 7] denominator=, [15, 18, 9] [7, 18, 14, 0] [7, 14, 0] -------------- = ---------- [15, 18, 9] [15, 9] [1, 4, 18, 4, 0] [1, 4, 4, 0] ---------------- = ------------ [15, 18, 9] [15, 9] denominator=, [15, 18, 11] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [15, 18, 11] [15, 11] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [15, 18, 11] [15, 11] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [15, 18, 11] [15, 11] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [15, 18, 11] [15, 11] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [15, 18, 11] [15, 11] [11, 18, 13, 0] [11, 13, 0] --------------- = ----------- [15, 18, 11] [15, 11] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [15, 18, 11] [15, 11] [17, 18, 10, 0] [17, 10, 0] --------------- = ----------- [15, 18, 11] [15, 11] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [15, 18, 11] [15, 11] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [15, 18, 11] [15, 11] [1, 4, 18, 7, 0] [1, 4, 7, 0] ---------------- = ------------ [15, 18, 11] [15, 11] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [15, 18, 11] [15, 11] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [15, 18, 11] [15, 11] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [15, 18, 11] [15, 11] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [15, 18, 11] [15, 11] [1, 16, 18, 1, 0] [1, 16, 1, 0] ----------------- = ------------- [15, 18, 11] [15, 11] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [15, 18, 11] [15, 11] denominator=, [15, 18, 13] [7, 18, 16, 0] [7, 16, 0] -------------- = ---------- [15, 18, 13] [15, 13] [1, 4, 18, 10, 0] [1, 4, 10, 0] ----------------- = ------------- [15, 18, 13] [15, 13] [2, 1, 18, 4, 0] [2, 1, 4, 0] ---------------- = ------------ [15, 18, 13] [15, 13] denominator=, [15, 18, 15] [3, 18, 18, 0] [3, 18, 0] -------------- = ---------- [15, 18, 15] [15, 15] [7, 18, 17, 0] [7, 17, 0] -------------- = ---------- [15, 18, 15] [15, 15] [11, 18, 16, 0] [11, 16, 0] --------------- = ----------- [15, 18, 15] [15, 15] [1, 0, 18, 14, 0] [1, 0, 14, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [1, 4, 18, 13, 0] [1, 4, 13, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [1, 8, 18, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [1, 16, 18, 10, 0] [1, 16, 10, 0] ------------------ = -------------- [15, 18, 15] [15, 15] [2, 1, 18, 9, 0] [2, 1, 9, 0] ---------------- = ------------ [15, 18, 15] [15, 15] [2, 5, 18, 8, 0] [2, 5, 8, 0] ---------------- = ------------ [15, 18, 15] [15, 15] [2, 13, 18, 6, 0] [2, 13, 6, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [2, 17, 18, 5, 0] [2, 17, 5, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [3, 2, 18, 4, 0] [3, 2, 4, 0] ---------------- = ------------ [15, 18, 15] [15, 15] [3, 10, 18, 2, 0] [3, 10, 2, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [3, 14, 18, 1, 0] [3, 14, 1, 0] ----------------- = ------------- [15, 18, 15] [15, 15] [3, 18, 18, 0, 0] [3, 18, 0, 0] ----------------- = ------------- [15, 18, 15] [15, 15] denominator=, [15, 18, 17] [7, 18, 18, 0] [7, 18, 0] -------------- = ---------- [15, 18, 17] [15, 17] [1, 4, 18, 16, 0] [1, 4, 16, 0] ----------------- = ------------- [15, 18, 17] [15, 17] [2, 1, 18, 14, 0] [2, 1, 14, 0] ----------------- = ------------- [15, 18, 17] [15, 17] [2, 17, 18, 12, 0] [2, 17, 12, 0] ------------------ = -------------- [15, 18, 17] [15, 17] [3, 14, 18, 10, 0] [3, 14, 10, 0] ------------------ = -------------- [15, 18, 17] [15, 17] [4, 11, 18, 8, 0] [4, 11, 8, 0] ----------------- = ------------- [15, 18, 17] [15, 17] [5, 8, 18, 6, 0] [5, 8, 6, 0] ---------------- = ------------ [15, 18, 17] [15, 17] [6, 5, 18, 4, 0] [6, 5, 4, 0] ---------------- = ------------ [15, 18, 17] [15, 17] [7, 2, 18, 2, 0] [7, 2, 2, 0] ---------------- = ------------ [15, 18, 17] [15, 17] [7, 18, 18, 0, 0] [7, 18, 0, 0] ----------------- = ------------- [15, 18, 17] [15, 17] denominator=, [16, 4, 4] [4, 13, 4, 3, 0] [4, 13, 3, 0] ---------------- = ------------- [16, 4, 4] [16, 4] [12, 7, 4, 1, 0] [12, 7, 1, 0] ---------------- = ------------- [16, 4, 4] [16, 4] denominator=, [16, 6, 4] [2, 6, 6, 0] [2, 6, 0] ------------ = --------- [16, 6, 4] [16, 4] [9, 6, 5, 0] [9, 5, 0] ------------ = --------- [16, 6, 4] [16, 4] [1, 4, 6, 3, 0] [1, 4, 3, 0] --------------- = ------------ [16, 6, 4] [16, 4] [1, 11, 6, 2, 0] [1, 11, 2, 0] ---------------- = ------------- [16, 6, 4] [16, 4] [1, 18, 6, 1, 0] [1, 18, 1, 0] ---------------- = ------------- [16, 6, 4] [16, 4] [2, 6, 6, 0, 0] [2, 6, 0, 0] --------------- = ------------ [16, 6, 4] [16, 4] denominator=, [16, 7, 6] [3, 18, 7, 1, 0] [3, 18, 1, 0] ---------------- = ------------- [16, 7, 6] [16, 6] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [4, 14, 8, 6, 0] [4, 14, 6, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [12, 10, 8, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 9, 2] [5, 9, 7, 0] [5, 7, 0] ------------ = --------- [16, 9, 2] [16, 2] denominator=, [16, 9, 4] [1, 9, 9, 0] [1, 9, 0] ------------ = --------- [16, 9, 4] [16, 4] [4, 9, 8, 0] [4, 8, 0] ------------ = --------- [16, 9, 4] [16, 4] [7, 9, 7, 0] [7, 7, 0] ------------ = --------- [16, 9, 4] [16, 4] [10, 9, 6, 0] [10, 6, 0] ------------- = ---------- [16, 9, 4] [16, 4] [13, 9, 5, 0] [13, 5, 0] ------------- = ---------- [16, 9, 4] [16, 4] [1, 0, 9, 3, 0] [1, 0, 3, 0] --------------- = ------------ [16, 9, 4] [16, 4] [1, 3, 9, 2, 0] [1, 3, 2, 0] --------------- = ------------ [16, 9, 4] [16, 4] [1, 6, 9, 1, 0] [1, 6, 1, 0] --------------- = ------------ [16, 9, 4] [16, 4] [1, 9, 9, 0, 0] [1, 9, 0, 0] --------------- = ------------ [16, 9, 4] [16, 4] denominator=, [16, 9, 5] [5, 9, 8, 0] [5, 8, 0] ------------ = --------- [16, 9, 5] [16, 5] [1, 8, 9, 2, 0] [1, 8, 2, 0] --------------- = ------------ [16, 9, 5] [16, 5] denominator=, [16, 9, 8] [5, 9, 9, 0] [5, 9, 0] ------------ = --------- [16, 9, 8] [16, 8] [1, 8, 9, 7, 0] [1, 8, 7, 0] --------------- = ------------ [16, 9, 8] [16, 8] [2, 0, 9, 6, 0] [2, 0, 6, 0] --------------- = ------------ [16, 9, 8] [16, 8] [3, 3, 9, 4, 0] [3, 3, 4, 0] --------------- = ------------ [16, 9, 8] [16, 8] [3, 14, 9, 3, 0] [3, 14, 3, 0] ---------------- = ------------- [16, 9, 8] [16, 8] [4, 17, 9, 1, 0] [4, 17, 1, 0] ---------------- = ------------- [16, 9, 8] [16, 8] [5, 9, 9, 0, 0] [5, 9, 0, 0] --------------- = ------------ [16, 9, 8] [16, 8] denominator=, [16, 11, 8] [2, 1, 11, 3, 0] [2, 1, 3, 0] ---------------- = ------------ [16, 11, 8] [16, 8] denominator=, [16, 12, 1] [6, 12, 8, 0] [6, 8, 0] ------------- = --------- [16, 12, 1] [16, 1] denominator=, [16, 12, 6] [1, 12, 12, 0] [1, 12, 0] -------------- = ---------- [16, 12, 6] [16, 6] [6, 12, 10, 0] [6, 10, 0] -------------- = ---------- [16, 12, 6] [16, 6] [11, 12, 8, 0] [11, 8, 0] -------------- = ---------- [16, 12, 6] [16, 6] [1, 2, 12, 4, 0] [1, 2, 4, 0] ---------------- = ------------ [16, 12, 6] [16, 6] [1, 7, 12, 2, 0] [1, 7, 2, 0] ---------------- = ------------ [16, 12, 6] [16, 6] [1, 12, 12, 0, 0] [1, 12, 0, 0] ----------------- = ------------- [16, 12, 6] [16, 6] denominator=, [16, 12, 8] [2, 3, 12, 1, 0] [2, 3, 1, 0] ---------------- = ------------ [16, 12, 8] [16, 8] denominator=, [16, 12, 10] [2, 3, 12, 6, 0] [2, 3, 6, 0] ---------------- = ------------ [16, 12, 10] [16, 10] denominator=, [16, 12, 11] [6, 12, 12, 0] [6, 12, 0] -------------- = ---------- [16, 12, 11] [16, 11] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [16, 12, 11] [16, 11] [1, 17, 12, 9, 0] [1, 17, 9, 0] ----------------- = ------------- [16, 12, 11] [16, 11] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [16, 12, 11] [16, 11] [2, 18, 12, 7, 0] [2, 18, 7, 0] ----------------- = ------------- [16, 12, 11] [16, 11] [4, 0, 12, 5, 0] [4, 0, 5, 0] ---------------- = ------------ [16, 12, 11] [16, 11] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [16, 12, 11] [16, 11] [5, 1, 12, 3, 0] [5, 1, 3, 0] ---------------- = ------------ [16, 12, 11] [16, 11] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [16, 12, 11] [16, 11] [6, 12, 12, 0, 0] [6, 12, 0, 0] ----------------- = ------------- [16, 12, 11] [16, 11] denominator=, [16, 12, 12] [2, 3, 12, 11, 0] [2, 3, 11, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [4, 15, 12, 9, 0] [4, 15, 9, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [7, 8, 12, 7, 0] [7, 8, 7, 0] ---------------- = ------------ [16, 12, 12] [16, 12] [10, 1, 12, 5, 0] [10, 1, 5, 0] ----------------- = ------------- [16, 12, 12] [16, 12] [12, 13, 12, 3, 0] [12, 13, 3, 0] ------------------ = -------------- [16, 12, 12] [16, 12] [15, 6, 12, 1, 0] [15, 6, 1, 0] ----------------- = ------------- [16, 12, 12] [16, 12] denominator=, [16, 13, 11] [3, 2, 13, 4, 0] [3, 2, 4, 0] ---------------- = ------------ [16, 13, 11] [16, 11] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [4, 16, 12, 11] [4, 12, 11] --------------- = ----------- [16, 16, 2] [16, 2] [12, 16, 5, 10] [12, 5, 10] --------------- = ----------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [2, 16, 14, 13] [2, 14, 13] --------------- = ----------- [16, 16, 4] [16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [6, 16, 11, 12] [6, 11, 12] --------------- = ----------- [16, 16, 4] [16, 4] [10, 16, 8, 11] [10, 8, 11] --------------- = ----------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [14, 16, 5, 10] [14, 5, 10] --------------- = ----------- [16, 16, 4] [16, 4] [18, 16, 2, 9] [18, 2, 9] -------------- = ---------- [16, 16, 4] [16, 4] [1, 1, 16, 0, 18] [1, 1, 0, 18] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [4, 16, 13, 14] [4, 13, 14] --------------- = ----------- [16, 16, 6] [16, 6] [12, 16, 8, 11] [12, 8, 11] --------------- = ----------- [16, 16, 6] [16, 6] [1, 1, 16, 3, 8] [1, 1, 3, 8] ---------------- = ------------ [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [1, 16, 15, 17] [1, 15, 17] --------------- = ----------- [16, 16, 8] [16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [3, 16, 14, 16] [3, 14, 16] --------------- = ----------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [5, 16, 13, 15] [5, 13, 15] --------------- = ----------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [7, 16, 12, 14] [7, 12, 14] --------------- = ----------- [16, 16, 8] [16, 8] [9, 16, 11, 13] [9, 11, 13] --------------- = ----------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [11, 16, 10, 12] [11, 10, 12] ---------------- = ------------ [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [13, 16, 9, 11] [13, 9, 11] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [15, 16, 8, 10] [15, 8, 10] --------------- = ----------- [16, 16, 8] [16, 8] [17, 16, 7, 9] [17, 7, 9] -------------- = ---------- [16, 16, 8] [16, 8] [18, 16, 6, 18] [18, 6, 18] --------------- = ----------- [16, 16, 8] [16, 8] [1, 0, 16, 6, 8] [1, 0, 6, 8] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 1, 16, 5, 17] [1, 1, 5, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 3, 16, 4, 16] [1, 3, 4, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 4, 6] [1, 4, 4, 6] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 6, 16, 3, 5] [1, 6, 3, 5] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 7, 16, 2, 14] [1, 7, 2, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 2, 4] [1, 8, 2, 4] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 9, 16, 1, 13] [1, 9, 1, 13] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 1, 3] [1, 10, 1, 3] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 11, 16, 0, 12] [1, 11, 0, 12] ------------------ = -------------- [16, 16, 8] [16, 8] [1, 12, 16, 0, 2] [1, 12, 0, 2] ----------------- = ------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [4, 16, 14, 17] [4, 14, 17] --------------- = ----------- [16, 16, 10] [16, 10] [12, 16, 11, 12] [12, 11, 12] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 1, 16, 8, 7] [1, 1, 8, 7] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 9, 16, 5, 2] [1, 9, 5, 2] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 17, 16, 1, 16] [1, 17, 1, 16] ------------------ = -------------- [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [2, 16, 16, 1] [2, 16, 1] -------------- = ---------- [16, 16, 12] [16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [6, 16, 14, 17] [6, 14, 17] --------------- = ----------- [16, 16, 12] [16, 12] [10, 16, 13, 14] [10, 13, 14] ---------------- = ------------ [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [14, 16, 12, 11] [14, 12, 11] ---------------- = ------------ [16, 16, 12] [16, 12] [18, 16, 11, 8] [18, 11, 8] --------------- = ----------- [16, 16, 12] [16, 12] [1, 1, 16, 10, 16] [1, 1, 10, 16] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 3, 16, 10, 5] [1, 3, 10, 5] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 7, 16, 9, 2] [1, 7, 9, 2] ---------------- = ------------ [16, 16, 12] [16, 12] [1, 9, 16, 8, 10] [1, 9, 8, 10] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 11, 16, 7, 18] [1, 11, 7, 18] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 15, 16, 6, 15] [1, 15, 6, 15] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 17, 16, 6, 4] [1, 17, 6, 4] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 5, 12] [2, 0, 5, 12] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 4, 16, 4, 9] [2, 4, 4, 9] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 6, 16, 3, 17] [2, 6, 3, 17] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 8, 16, 3, 6] [2, 8, 3, 6] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 12, 16, 2, 3] [2, 12, 2, 3] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 14, 16, 1, 11] [2, 14, 1, 11] ------------------ = -------------- [16, 16, 12] [16, 12] [2, 16, 16, 1, 0] [2, 16, 1, 0] ----------------- = ------------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [4, 16, 16, 1] [4, 16, 1] -------------- = ---------- [16, 16, 14] [16, 14] [12, 16, 14, 13] [12, 14, 13] ---------------- = ------------ [16, 16, 14] [16, 14] [1, 1, 16, 13, 6] [1, 1, 13, 6] ----------------- = ------------- [16, 16, 14] [16, 14] [1, 9, 16, 11, 18] [1, 9, 11, 18] ------------------ = -------------- [16, 16, 14] [16, 14] [1, 17, 16, 10, 11] [1, 17, 10, 11] ------------------- = --------------- [16, 16, 14] [16, 14] [2, 6, 16, 9, 4] [2, 6, 9, 4] ---------------- = ------------ [16, 16, 14] [16, 14] [2, 14, 16, 7, 16] [2, 14, 7, 16] ------------------ = -------------- [16, 16, 14] [16, 14] [3, 3, 16, 6, 9] [3, 3, 6, 9] ---------------- = ------------ [16, 16, 14] [16, 14] [3, 11, 16, 5, 2] [3, 11, 5, 2] ----------------- = ------------- [16, 16, 14] [16, 14] [4, 0, 16, 3, 14] [4, 0, 3, 14] ----------------- = ------------- [16, 16, 14] [16, 14] [4, 8, 16, 2, 7] [4, 8, 2, 7] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 16, 16, 1, 0] [4, 16, 1, 0] ----------------- = ------------- [16, 16, 14] [16, 14] denominator=, [16, 17, 1] [17, 17, 0] [17, 0] ----------- = ------- [16, 17, 1] [16, 1] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [16, 17, 1] [16, 1] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [16, 17, 1] [16, 1] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [16, 17, 1] [16, 1] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [16, 17, 1] [16, 1] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [16, 17, 1] [16, 1] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [16, 17, 1] [16, 1] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [16, 17, 1] [16, 1] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [16, 17, 1] [16, 1] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [16, 17, 1] [16, 1] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [16, 17, 1] [16, 1] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [16, 17, 1] [16, 1] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [16, 17, 1] [16, 1] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [16, 17, 1] [16, 1] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [16, 17, 1] [16, 1] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [16, 17, 1] [16, 1] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [16, 17, 1] [16, 1] denominator=, [16, 17, 16] [4, 1, 17, 9, 0] [4, 1, 9, 0] ---------------- = ------------ [16, 17, 16] [16, 16] [7, 5, 17, 2, 0] [7, 5, 2, 0] ---------------- = ------------ [16, 17, 16] [16, 16] denominator=, [16, 18, 2] [18, 18, 0] [18, 0] ----------- = ------- [16, 18, 2] [16, 2] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [16, 18, 2] [16, 2] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [16, 18, 2] [16, 2] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [16, 18, 2] [16, 2] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [16, 18, 2] [16, 2] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [16, 18, 2] [16, 2] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [16, 18, 2] [16, 2] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [16, 18, 2] [16, 2] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [16, 18, 2] [16, 2] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [16, 18, 2] [16, 2] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [16, 18, 2] [16, 2] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [16, 18, 2] [16, 2] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [16, 18, 2] [16, 2] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [16, 18, 2] [16, 2] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [16, 18, 2] [16, 2] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [16, 18, 2] [16, 2] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [16, 18, 2] [16, 2] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [16, 18, 2] [16, 2] denominator=, [17, 6, 1] [4, 6, 5, 0] [4, 5, 0] ------------ = --------- [17, 6, 1] [17, 1] denominator=, [17, 6, 2] [1, 6, 6, 0] [1, 6, 0] ------------ = --------- [17, 6, 2] [17, 2] [5, 6, 5, 0] [5, 5, 0] ------------ = --------- [17, 6, 2] [17, 2] [9, 6, 4, 0] [9, 4, 0] ------------ = --------- [17, 6, 2] [17, 2] [13, 6, 3, 0] [13, 3, 0] ------------- = ---------- [17, 6, 2] [17, 2] [1, 2, 6, 1, 0] [1, 2, 1, 0] --------------- = ------------ [17, 6, 2] [17, 2] [1, 6, 6, 0, 0] [1, 6, 0, 0] --------------- = ------------ [17, 6, 2] [17, 2] denominator=, [17, 6, 5] [4, 6, 6, 0] [4, 6, 0] ------------ = --------- [17, 6, 5] [17, 5] [1, 11, 6, 4, 0] [1, 11, 4, 0] ---------------- = ------------- [17, 6, 5] [17, 5] [2, 5, 6, 3, 0] [2, 5, 3, 0] --------------- = ------------ [17, 6, 5] [17, 5] [2, 18, 6, 2, 0] [2, 18, 2, 0] ---------------- = ------------- [17, 6, 5] [17, 5] [4, 6, 6, 0, 0] [4, 6, 0, 0] --------------- = ------------ [17, 6, 5] [17, 5] denominator=, [17, 9, 2] [3, 9, 8, 0] [3, 8, 0] ------------ = --------- [17, 9, 2] [17, 2] [10, 9, 5, 0] [10, 5, 0] ------------- = ---------- [17, 9, 2] [17, 2] denominator=, [17, 9, 6] [2, 9, 9, 0] [2, 9, 0] ------------ = --------- [17, 9, 6] [17, 6] [7, 9, 8, 0] [7, 8, 0] ------------ = --------- [17, 9, 6] [17, 6] [12, 9, 7, 0] [12, 7, 0] ------------- = ---------- [17, 9, 6] [17, 6] [1, 3, 9, 5, 0] [1, 3, 5, 0] --------------- = ------------ [17, 9, 6] [17, 6] [1, 8, 9, 4, 0] [1, 8, 4, 0] --------------- = ------------ [17, 9, 6] [17, 6] [1, 13, 9, 3, 0] [1, 13, 3, 0] ---------------- = ------------- [17, 9, 6] [17, 6] [1, 18, 9, 2, 0] [1, 18, 2, 0] ---------------- = ------------- [17, 9, 6] [17, 6] [2, 4, 9, 1, 0] [2, 4, 1, 0] --------------- = ------------ [17, 9, 6] [17, 6] [2, 9, 9, 0, 0] [2, 9, 0, 0] --------------- = ------------ [17, 9, 6] [17, 6] denominator=, [17, 9, 7] [3, 9, 9, 0] [3, 9, 0] ------------ = --------- [17, 9, 7] [17, 7] [10, 9, 8, 0] [10, 8, 0] ------------- = ---------- [17, 9, 7] [17, 7] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [17, 9, 7] [17, 7] [1, 12, 9, 5, 0] [1, 12, 5, 0] ---------------- = ------------- [17, 9, 7] [17, 7] [2, 0, 9, 4, 0] [2, 0, 4, 0] --------------- = ------------ [17, 9, 7] [17, 7] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [17, 9, 7] [17, 7] [3, 2, 9, 1, 0] [3, 2, 1, 0] --------------- = ------------ [17, 9, 7] [17, 7] [3, 9, 9, 0, 0] [3, 9, 0, 0] --------------- = ------------ [17, 9, 7] [17, 7] denominator=, [17, 10, 9] [5, 1, 10, 2, 0] [5, 1, 2, 0] ---------------- = ------------ [17, 10, 9] [17, 9] denominator=, [17, 14, 7] [1, 14, 14, 0] [1, 14, 0] -------------- = ---------- [17, 14, 7] [17, 7] [1, 14, 14, 0, 0] [1, 14, 0, 0] ----------------- = ------------- [17, 14, 7] [17, 7] denominator=, [17, 14, 12] [2, 11, 14, 7, 0] [2, 11, 7, 0] ----------------- = ------------- [17, 14, 12] [17, 12] [4, 5, 14, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [17, 14, 12] [17, 12] denominator=, [17, 14, 13] [7, 14, 14, 0] [7, 14, 0] -------------- = ---------- [17, 14, 13] [17, 13] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [1, 18, 14, 11, 0] [1, 18, 11, 0] ------------------ = -------------- [17, 14, 13] [17, 13] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [3, 0, 14, 9, 0] [3, 0, 9, 0] ---------------- = ------------ [17, 14, 13] [17, 13] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [4, 1, 14, 7, 0] [4, 1, 7, 0] ---------------- = ------------ [17, 14, 13] [17, 13] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [5, 2, 14, 5, 0] [5, 2, 5, 0] ---------------- = ------------ [17, 14, 13] [17, 13] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [6, 3, 14, 3, 0] [6, 3, 3, 0] ---------------- = ------------ [17, 14, 13] [17, 13] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [17, 14, 13] [17, 13] [7, 4, 14, 1, 0] [7, 4, 1, 0] ---------------- = ------------ [17, 14, 13] [17, 13] [7, 14, 14, 0, 0] [7, 14, 0, 0] ----------------- = ------------- [17, 14, 13] [17, 13] denominator=, [17, 16, 13] [2, 2, 16, 8, 0] [2, 2, 8, 0] ---------------- = ------------ [17, 16, 13] [17, 13] [3, 6, 16, 3, 0] [3, 6, 3, 0] ---------------- = ------------ [17, 16, 13] [17, 13] denominator=, [17, 17, 0] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [17, 17, 0] [17, 0] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [17, 17, 0] [17, 0] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [17, 17, 0] [17, 0] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [17, 17, 0] [17, 0] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [17, 17, 0] [17, 0] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [17, 17, 0] [17, 0] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [17, 17, 0] [17, 0] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [17, 17, 0] [17, 0] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [17, 17, 0] [17, 0] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [17, 17, 0] [17, 0] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [17, 17, 0] [17, 0] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [17, 17, 0] [17, 0] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [17, 17, 0] [17, 0] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [17, 17, 0] [17, 0] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [17, 17, 0] [17, 0] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [17, 17, 0] [17, 0] denominator=, [17, 18, 1] [18, 18, 0] [18, 0] ----------- = ------- [17, 18, 1] [17, 1] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [17, 18, 1] [17, 1] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [17, 18, 1] [17, 1] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [17, 18, 1] [17, 1] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [17, 18, 1] [17, 1] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [17, 18, 1] [17, 1] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [17, 18, 1] [17, 1] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [17, 18, 1] [17, 1] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [17, 18, 1] [17, 1] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [17, 18, 1] [17, 1] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [17, 18, 1] [17, 1] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [17, 18, 1] [17, 1] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [17, 18, 1] [17, 1] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [17, 18, 1] [17, 1] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [17, 18, 1] [17, 1] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [17, 18, 1] [17, 1] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [17, 18, 1] [17, 1] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [17, 18, 1] [17, 1] denominator=, [17, 18, 3] [8, 18, 11, 0] [8, 11, 0] -------------- = ---------- [17, 18, 3] [17, 3] denominator=, [17, 18, 4] [5, 18, 14, 0] [5, 14, 0] -------------- = ---------- [17, 18, 4] [17, 4] [11, 18, 9, 0] [11, 9, 0] -------------- = ---------- [17, 18, 4] [17, 4] denominator=, [17, 18, 5] [8, 18, 12, 0] [8, 12, 0] -------------- = ---------- [17, 18, 5] [17, 5] denominator=, [17, 18, 7] [2, 18, 17, 0] [2, 17, 0] -------------- = ---------- [17, 18, 7] [17, 7] [5, 18, 15, 0] [5, 15, 0] -------------- = ---------- [17, 18, 7] [17, 7] [8, 18, 13, 0] [8, 13, 0] -------------- = ---------- [17, 18, 7] [17, 7] [11, 18, 11, 0] [11, 11, 0] --------------- = ----------- [17, 18, 7] [17, 7] [14, 18, 9, 0] [14, 9, 0] -------------- = ---------- [17, 18, 7] [17, 7] [1, 1, 18, 5, 0] [1, 1, 5, 0] ---------------- = ------------ [17, 18, 7] [17, 7] [1, 4, 18, 3, 0] [1, 4, 3, 0] ---------------- = ------------ [17, 18, 7] [17, 7] [1, 7, 18, 1, 0] [1, 7, 1, 0] ---------------- = ------------ [17, 18, 7] [17, 7] denominator=, [17, 18, 9] [8, 18, 14, 0] [8, 14, 0] -------------- = ---------- [17, 18, 9] [17, 9] [1, 7, 18, 4, 0] [1, 7, 4, 0] ---------------- = ------------ [17, 18, 9] [17, 9] denominator=, [17, 18, 10] [1, 18, 18, 0] [1, 18, 0] -------------- = ---------- [17, 18, 10] [17, 10] [3, 18, 17, 0] [3, 17, 0] -------------- = ---------- [17, 18, 10] [17, 10] [5, 18, 16, 0] [5, 16, 0] -------------- = ---------- [17, 18, 10] [17, 10] [7, 18, 15, 0] [7, 15, 0] -------------- = ---------- [17, 18, 10] [17, 10] [9, 18, 14, 0] [9, 14, 0] -------------- = ---------- [17, 18, 10] [17, 10] [11, 18, 13, 0] [11, 13, 0] --------------- = ----------- [17, 18, 10] [17, 10] [13, 18, 12, 0] [13, 12, 0] --------------- = ----------- [17, 18, 10] [17, 10] [15, 18, 11, 0] [15, 11, 0] --------------- = ----------- [17, 18, 10] [17, 10] [1, 0, 18, 9, 0] [1, 0, 9, 0] ---------------- = ------------ [17, 18, 10] [17, 10] [1, 2, 18, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [17, 18, 10] [17, 10] [1, 4, 18, 7, 0] [1, 4, 7, 0] ---------------- = ------------ [17, 18, 10] [17, 10] [1, 6, 18, 6, 0] [1, 6, 6, 0] ---------------- = ------------ [17, 18, 10] [17, 10] [1, 8, 18, 5, 0] [1, 8, 5, 0] ---------------- = ------------ [17, 18, 10] [17, 10] [1, 10, 18, 4, 0] [1, 10, 4, 0] ----------------- = ------------- [17, 18, 10] [17, 10] [1, 12, 18, 3, 0] [1, 12, 3, 0] ----------------- = ------------- [17, 18, 10] [17, 10] [1, 14, 18, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [17, 18, 10] [17, 10] [1, 18, 18, 0, 0] [1, 18, 0, 0] ----------------- = ------------- [17, 18, 10] [17, 10] denominator=, [17, 18, 11] [8, 18, 15, 0] [8, 15, 0] -------------- = ---------- [17, 18, 11] [17, 11] [1, 7, 18, 7, 0] [1, 7, 7, 0] ---------------- = ------------ [17, 18, 11] [17, 11] denominator=, [17, 18, 13] [2, 18, 18, 0] [2, 18, 0] -------------- = ---------- [17, 18, 13] [17, 13] [5, 18, 17, 0] [5, 17, 0] -------------- = ---------- [17, 18, 13] [17, 13] [8, 18, 16, 0] [8, 16, 0] -------------- = ---------- [17, 18, 13] [17, 13] [11, 18, 15, 0] [11, 15, 0] --------------- = ----------- [17, 18, 13] [17, 13] [14, 18, 14, 0] [14, 14, 0] --------------- = ----------- [17, 18, 13] [17, 13] [1, 1, 18, 12, 0] [1, 1, 12, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [1, 4, 18, 11, 0] [1, 4, 11, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [1, 7, 18, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [1, 10, 18, 9, 0] [1, 10, 9, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [1, 13, 18, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [2, 0, 18, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [17, 18, 13] [17, 13] [2, 3, 18, 5, 0] [2, 3, 5, 0] ---------------- = ------------ [17, 18, 13] [17, 13] [2, 6, 18, 4, 0] [2, 6, 4, 0] ---------------- = ------------ [17, 18, 13] [17, 13] [2, 9, 18, 3, 0] [2, 9, 3, 0] ---------------- = ------------ [17, 18, 13] [17, 13] [2, 12, 18, 2, 0] [2, 12, 2, 0] ----------------- = ------------- [17, 18, 13] [17, 13] [2, 18, 18, 0, 0] [2, 18, 0, 0] ----------------- = ------------- [17, 18, 13] [17, 13] denominator=, [17, 18, 15] [8, 18, 17, 0] [8, 17, 0] -------------- = ---------- [17, 18, 15] [17, 15] [1, 7, 18, 13, 0] [1, 7, 13, 0] ----------------- = ------------- [17, 18, 15] [17, 15] [2, 6, 18, 9, 0] [2, 6, 9, 0] ---------------- = ------------ [17, 18, 15] [17, 15] [3, 5, 18, 5, 0] [3, 5, 5, 0] ---------------- = ------------ [17, 18, 15] [17, 15] [4, 4, 18, 1, 0] [4, 4, 1, 0] ---------------- = ------------ [17, 18, 15] [17, 15] denominator=, [17, 18, 16] [5, 18, 18, 0] [5, 18, 0] -------------- = ---------- [17, 18, 16] [17, 16] [11, 18, 17, 0] [11, 17, 0] --------------- = ----------- [17, 18, 16] [17, 16] [1, 4, 18, 15, 0] [1, 4, 15, 0] ----------------- = ------------- [17, 18, 16] [17, 16] [1, 10, 18, 14, 0] [1, 10, 14, 0] ------------------ = -------------- [17, 18, 16] [17, 16] [2, 3, 18, 12, 0] [2, 3, 12, 0] ----------------- = ------------- [17, 18, 16] [17, 16] [2, 9, 18, 11, 0] [2, 9, 11, 0] ----------------- = ------------- [17, 18, 16] [17, 16] [3, 2, 18, 9, 0] [3, 2, 9, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [3, 8, 18, 8, 0] [3, 8, 8, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [4, 1, 18, 6, 0] [4, 1, 6, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [4, 7, 18, 5, 0] [4, 7, 5, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [5, 0, 18, 3, 0] [5, 0, 3, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [5, 6, 18, 2, 0] [5, 6, 2, 0] ---------------- = ------------ [17, 18, 16] [17, 16] [5, 18, 18, 0, 0] [5, 18, 0, 0] ----------------- = ------------- [17, 18, 16] [17, 16] denominator=, [17, 18, 17] [8, 18, 18, 0] [8, 18, 0] -------------- = ---------- [17, 18, 17] [17, 17] [1, 7, 18, 16, 0] [1, 7, 16, 0] ----------------- = ------------- [17, 18, 17] [17, 17] [2, 6, 18, 14, 0] [2, 6, 14, 0] ----------------- = ------------- [17, 18, 17] [17, 17] [3, 5, 18, 12, 0] [3, 5, 12, 0] ----------------- = ------------- [17, 18, 17] [17, 17] [4, 4, 18, 10, 0] [4, 4, 10, 0] ----------------- = ------------- [17, 18, 17] [17, 17] [5, 3, 18, 8, 0] [5, 3, 8, 0] ---------------- = ------------ [17, 18, 17] [17, 17] [6, 2, 18, 6, 0] [6, 2, 6, 0] ---------------- = ------------ [17, 18, 17] [17, 17] [7, 1, 18, 4, 0] [7, 1, 4, 0] ---------------- = ------------ [17, 18, 17] [17, 17] [8, 0, 18, 2, 0] [8, 0, 2, 0] ---------------- = ------------ [17, 18, 17] [17, 17] [8, 18, 18, 0, 0] [8, 18, 0, 0] ----------------- = ------------- [17, 18, 17] [17, 17] denominator=, [18, 4, 4] [5, 5, 4, 3, 0] [5, 5, 3, 0] --------------- = ------------ [18, 4, 4] [18, 4] [13, 17, 4, 1, 0] [13, 17, 1, 0] ----------------- = -------------- [18, 4, 4] [18, 4] denominator=, [18, 6, 3] [7, 6, 5, 0] [7, 5, 0] ------------ = --------- [18, 6, 3] [18, 3] [1, 10, 6, 1, 0] [1, 10, 1, 0] ---------------- = ------------- [18, 6, 3] [18, 3] denominator=, [18, 8, 8] [5, 6, 8, 6, 0] [5, 6, 6, 0] --------------- = ------------ [18, 8, 8] [18, 8] [14, 1, 8, 2, 0] [14, 1, 2, 0] ---------------- = ------------- [18, 8, 8] [18, 8] denominator=, [18, 12, 1] [2, 12, 11, 0] [2, 11, 0] -------------- = ---------- [18, 12, 1] [18, 1] [10, 12, 6, 0] [10, 6, 0] -------------- = ---------- [18, 12, 1] [18, 1] denominator=, [18, 12, 2] [4, 12, 10, 0] [4, 10, 0] -------------- = ---------- [18, 12, 2] [18, 2] [11, 12, 6, 0] [11, 6, 0] -------------- = ---------- [18, 12, 2] [18, 2] denominator=, [18, 12, 6] [4, 12, 11, 0] [4, 11, 0] -------------- = ---------- [18, 12, 6] [18, 6] [1, 13, 12, 1, 0] [1, 13, 1, 0] ----------------- = ------------- [18, 12, 6] [18, 6] denominator=, [18, 12, 8] [2, 12, 12, 0] [2, 12, 0] -------------- = ---------- [18, 12, 8] [18, 8] [6, 12, 11, 0] [6, 11, 0] -------------- = ---------- [18, 12, 8] [18, 8] [10, 12, 10, 0] [10, 10, 0] --------------- = ----------- [18, 12, 8] [18, 8] [14, 12, 9, 0] [14, 9, 0] -------------- = ---------- [18, 12, 8] [18, 8] [1, 3, 12, 7, 0] [1, 3, 7, 0] ---------------- = ------------ [18, 12, 8] [18, 8] [1, 7, 12, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [18, 12, 8] [18, 8] [1, 11, 12, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [18, 12, 8] [18, 8] [1, 15, 12, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [18, 12, 8] [18, 8] [2, 0, 12, 3, 0] [2, 0, 3, 0] ---------------- = ------------ [18, 12, 8] [18, 8] [2, 4, 12, 2, 0] [2, 4, 2, 0] ---------------- = ------------ [18, 12, 8] [18, 8] [2, 8, 12, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [18, 12, 8] [18, 8] [2, 12, 12, 0, 0] [2, 12, 0, 0] ----------------- = ------------- [18, 12, 8] [18, 8] denominator=, [18, 12, 10] [4, 12, 12, 0] [4, 12, 0] -------------- = ---------- [18, 12, 10] [18, 10] [11, 12, 11, 0] [11, 11, 0] --------------- = ----------- [18, 12, 10] [18, 10] [1, 6, 12, 9, 0] [1, 6, 9, 0] ---------------- = ------------ [18, 12, 10] [18, 10] [1, 13, 12, 8, 0] [1, 13, 8, 0] ----------------- = ------------- [18, 12, 10] [18, 10] [2, 1, 12, 7, 0] [2, 1, 7, 0] ---------------- = ------------ [18, 12, 10] [18, 10] [2, 8, 12, 6, 0] [2, 8, 6, 0] ---------------- = ------------ [18, 12, 10] [18, 10] [2, 15, 12, 5, 0] [2, 15, 5, 0] ----------------- = ------------- [18, 12, 10] [18, 10] [3, 3, 12, 4, 0] [3, 3, 4, 0] ---------------- = ------------ [18, 12, 10] [18, 10] [3, 10, 12, 3, 0] [3, 10, 3, 0] ----------------- = ------------- [18, 12, 10] [18, 10] [4, 5, 12, 1, 0] [4, 5, 1, 0] ---------------- = ------------ [18, 12, 10] [18, 10] [4, 12, 12, 0, 0] [4, 12, 0, 0] ----------------- = ------------- [18, 12, 10] [18, 10] denominator=, [18, 12, 12] [2, 8, 12, 11, 0] [2, 8, 11, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [5, 7, 12, 9, 0] [5, 7, 9, 0] ---------------- = ------------ [18, 12, 12] [18, 12] [8, 6, 12, 7, 0] [8, 6, 7, 0] ---------------- = ------------ [18, 12, 12] [18, 12] [11, 5, 12, 5, 0] [11, 5, 5, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [14, 4, 12, 3, 0] [14, 4, 3, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [17, 3, 12, 1, 0] [17, 3, 1, 0] ----------------- = ------------- [18, 12, 12] [18, 12] denominator=, [18, 14, 9] [5, 14, 13, 0] [5, 13, 0] -------------- = ---------- [18, 14, 9] [18, 9] [1, 12, 14, 5, 0] [1, 12, 5, 0] ----------------- = ------------- [18, 14, 9] [18, 9] [2, 6, 14, 1, 0] [2, 6, 1, 0] ---------------- = ------------ [18, 14, 9] [18, 9] denominator=, [18, 16, 8] [1, 16, 16, 0] [1, 16, 0] -------------- = ---------- [18, 16, 8] [18, 8] [1, 16, 16, 0, 0] [1, 16, 0, 0] ----------------- = ------------- [18, 16, 8] [18, 8] denominator=, [18, 16, 13] [2, 14, 16, 6, 0] [2, 14, 6, 0] ----------------- = ------------- [18, 16, 13] [18, 13] denominator=, [18, 16, 14] [5, 8, 16, 1, 0] [5, 8, 1, 0] ---------------- = ------------ [18, 16, 14] [18, 14] denominator=, [18, 16, 15] [8, 16, 16, 0] [8, 16, 0] -------------- = ---------- [18, 16, 15] [18, 15] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [2, 0, 16, 13, 0] [2, 0, 13, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [2, 10, 16, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [18, 16, 15] [18, 15] [3, 1, 16, 11, 0] [3, 1, 11, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [18, 16, 15] [18, 15] [4, 2, 16, 9, 0] [4, 2, 9, 0] ---------------- = ------------ [18, 16, 15] [18, 15] [4, 12, 16, 8, 0] [4, 12, 8, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [5, 3, 16, 7, 0] [5, 3, 7, 0] ---------------- = ------------ [18, 16, 15] [18, 15] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [6, 4, 16, 5, 0] [6, 4, 5, 0] ---------------- = ------------ [18, 16, 15] [18, 15] [6, 14, 16, 4, 0] [6, 14, 4, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [7, 5, 16, 3, 0] [7, 5, 3, 0] ---------------- = ------------ [18, 16, 15] [18, 15] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [18, 16, 15] [18, 15] [8, 6, 16, 1, 0] [8, 6, 1, 0] ---------------- = ------------ [18, 16, 15] [18, 15] [8, 16, 16, 0, 0] [8, 16, 0, 0] ----------------- = ------------- [18, 16, 15] [18, 15] denominator=, [18, 16, 16] [5, 8, 16, 12, 0] [5, 8, 12, 0] ----------------- = ------------- [18, 16, 16] [18, 16] [14, 7, 16, 4, 0] [14, 7, 4, 0] ----------------- = ------------- [18, 16, 16] [18, 16] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [18, 18, 0] [18, 18] [18] ----------- = ------- [18, 18, 0] [18, 0] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [1, 15, 0] [1, 15] [15] ---------- = ------- [1, 15, 0] [15, 0] denominator=, [1, 16, 0] [1, 16] [16] ---------- = ------- [1, 16, 0] [16, 0] denominator=, [1, 17, 0] [1, 17] [17] ---------- = ------- [1, 17, 0] [17, 0] denominator=, [1, 18, 0] [1, 18] [18] ---------- = ------- [1, 18, 0] [18, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 5, 0] [2, 5] [5] --------- = ------ [2, 5, 0] [5, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 7, 0] [2, 7] [7] --------- = ------ [2, 7, 0] [7, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 9, 0] [2, 9] [9] --------- = ------ [2, 9, 0] [9, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 11, 0] [2, 11] [11] ---------- = ------- [2, 11, 0] [11, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 13, 0] [2, 13] [13] ---------- = ------- [2, 13, 0] [13, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [2, 15, 0] [2, 15] [15] ---------- = ------- [2, 15, 0] [15, 0] denominator=, [2, 16, 0] [2, 16] [16] ---------- = ------- [2, 16, 0] [16, 0] denominator=, [2, 17, 0] [2, 17] [17] ---------- = ------- [2, 17, 0] [17, 0] denominator=, [2, 18, 0] [2, 18] [18] ---------- = ------- [2, 18, 0] [18, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 7, 0] [3, 7] [7] --------- = ------ [3, 7, 0] [7, 0] denominator=, [3, 8, 0] [3, 8] [8] --------- = ------ [3, 8, 0] [8, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 10, 0] [3, 10] [10] ---------- = ------- [3, 10, 0] [10, 0] denominator=, [3, 11, 0] [3, 11] [11] ---------- = ------- [3, 11, 0] [11, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [3, 13, 0] [3, 13] [13] ---------- = ------- [3, 13, 0] [13, 0] denominator=, [3, 14, 0] [3, 14] [14] ---------- = ------- [3, 14, 0] [14, 0] denominator=, [3, 15, 0] [3, 15] [15] ---------- = ------- [3, 15, 0] [15, 0] denominator=, [3, 16, 0] [3, 16] [16] ---------- = ------- [3, 16, 0] [16, 0] denominator=, [3, 17, 0] [3, 17] [17] ---------- = ------- [3, 17, 0] [17, 0] denominator=, [3, 18, 0] [3, 18] [18] ---------- = ------- [3, 18, 0] [18, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 10, 0] [4, 10] [10] ---------- = ------- [4, 10, 0] [10, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [4, 14, 0] [4, 14] [14] ---------- = ------- [4, 14, 0] [14, 0] denominator=, [4, 16, 0] [4, 16] [16] ---------- = ------- [4, 16, 0] [16, 0] denominator=, [4, 18, 0] [4, 18] [18] ---------- = ------- [4, 18, 0] [18, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 15, 0] [5, 15] [15] ---------- = ------- [5, 15, 0] [15, 0] denominator=, [5, 18, 0] [5, 18] [18] ---------- = ------- [5, 18, 0] [18, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] [1, 6, 1] [1, 1] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 10, 0] [6, 10] [10] ---------- = ------- [6, 10, 0] [10, 0] denominator=, [6, 11, 0] [6, 11] [11] ---------- = ------- [6, 11, 0] [11, 0] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [6, 13, 0] [6, 13] [13] ---------- = ------- [6, 13, 0] [13, 0] denominator=, [6, 14, 0] [6, 14] [14] ---------- = ------- [6, 14, 0] [14, 0] denominator=, [6, 15, 0] [6, 15] [15] ---------- = ------- [6, 15, 0] [15, 0] denominator=, [6, 16, 0] [6, 16] [16] ---------- = ------- [6, 16, 0] [16, 0] denominator=, [6, 17, 0] [6, 17] [17] ---------- = ------- [6, 17, 0] [17, 0] denominator=, [6, 18, 0] [6, 18] [18] ---------- = ------- [6, 18, 0] [18, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 0] [7, 14] [14] ---------- = ------- [7, 14, 0] [14, 0] denominator=, [7, 18, 0] [7, 18] [18] ---------- = ------- [7, 18, 0] [18, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 16, 0] [8, 16] [16] ---------- = ------- [8, 16, 0] [16, 0] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] [1, 9, 2] [1, 2] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] [1, 9, 5] [1, 5] --------- = ------ [9, 8, 0] [8, 0] [2, 9, 2] [2, 2] --------- = ------ [9, 8, 0] [8, 0] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 18, 0] [10, 18] [18] ----------- = ------- [10, 18, 0] [18, 0] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 18, 0] [11, 18] [18] ----------- = ------- [11, 18, 0] [18, 0] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] [1, 12, 1] [1, 1] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] [1, 12, 6] [1, 6] ----------- = ------- [12, 10, 0] [10, 0] [2, 12, 2] [2, 2] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] [2, 12, 6] [2, 6] ----------- = ------- [12, 11, 0] [11, 0] [4, 12, 1] [4, 1] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 12, 8] [1, 12, 12, 1] [1, 12, 1] -------------- = ---------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [1, 12, 12, 6] [1, 12, 6] -------------- = ---------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 18, 0] [13, 18] [18] ----------- = ------- [13, 18, 0] [18, 0] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [15, 1, 0] [15, 1] [1] ---------- = ------ [15, 1, 0] [1, 0] denominator=, [15, 2, 0] [15, 2] [2] ---------- = ------ [15, 2, 0] [2, 0] denominator=, [15, 3, 0] [15, 3] [3] ---------- = ------ [15, 3, 0] [3, 0] denominator=, [15, 4, 0] [15, 4] [4] ---------- = ------ [15, 4, 0] [4, 0] denominator=, [15, 5, 0] [15, 5] [5] ---------- = ------ [15, 5, 0] [5, 0] denominator=, [15, 6, 0] [15, 6] [6] ---------- = ------ [15, 6, 0] [6, 0] denominator=, [15, 7, 0] [15, 7] [7] ---------- = ------ [15, 7, 0] [7, 0] denominator=, [15, 8, 0] [15, 8] [8] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 9, 0] [15, 9] [9] ---------- = ------ [15, 9, 0] [9, 0] denominator=, [15, 10, 0] [15, 10] [10] ----------- = ------- [15, 10, 0] [10, 0] [1, 15, 3] [1, 3] ----------- = ------- [15, 10, 0] [10, 0] denominator=, [15, 11, 0] [15, 11] [11] ----------- = ------- [15, 11, 0] [11, 0] denominator=, [15, 12, 0] [15, 12] [12] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 13, 0] [15, 13] [13] ----------- = ------- [15, 13, 0] [13, 0] denominator=, [15, 14, 0] [15, 14] [14] ----------- = ------- [15, 14, 0] [14, 0] [5, 15, 3] [5, 3] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 15, 10] [1, 15, 15, 3] [1, 15, 3] -------------- = ---------- [15, 15, 10] [15, 10] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [16, 1, 0] [16, 1] [1] ---------- = ------ [16, 1, 0] [1, 0] denominator=, [16, 2, 0] [16, 2] [2] ---------- = ------ [16, 2, 0] [2, 0] denominator=, [16, 3, 0] [16, 3] [3] ---------- = ------ [16, 3, 0] [3, 0] denominator=, [16, 4, 0] [16, 4] [4] ---------- = ------ [16, 4, 0] [4, 0] denominator=, [16, 5, 0] [16, 5] [5] ---------- = ------ [16, 5, 0] [5, 0] denominator=, [16, 6, 0] [16, 6] [6] ---------- = ------ [16, 6, 0] [6, 0] denominator=, [16, 7, 0] [16, 7] [7] ---------- = ------ [16, 7, 0] [7, 0] denominator=, [16, 8, 0] [16, 8] [8] ---------- = ------ [16, 8, 0] [8, 0] denominator=, [16, 9, 0] [16, 9] [9] ---------- = ------ [16, 9, 0] [9, 0] denominator=, [16, 10, 0] [16, 10] [10] ----------- = ------- [16, 10, 0] [10, 0] denominator=, [16, 11, 0] [16, 11] [11] ----------- = ------- [16, 11, 0] [11, 0] denominator=, [16, 12, 0] [16, 12] [12] ----------- = ------- [16, 12, 0] [12, 0] [2, 16, 1] [2, 1] ----------- = ------- [16, 12, 0] [12, 0] denominator=, [16, 13, 0] [16, 13] [13] ----------- = ------- [16, 13, 0] [13, 0] denominator=, [16, 14, 0] [16, 14] [14] ----------- = ------- [16, 14, 0] [14, 0] [4, 16, 1] [4, 1] ----------- = ------- [16, 14, 0] [14, 0] denominator=, [16, 15, 0] [16, 15] [15] ----------- = ------- [16, 15, 0] [15, 0] denominator=, [16, 16, 12] [2, 16, 16, 1] [2, 16, 1] -------------- = ---------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [4, 16, 16, 1] [4, 16, 1] -------------- = ---------- [16, 16, 14] [16, 14] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [17, 1, 0] [17, 1] [1] ---------- = ------ [17, 1, 0] [1, 0] denominator=, [17, 2, 0] [17, 2] [2] ---------- = ------ [17, 2, 0] [2, 0] denominator=, [17, 3, 0] [17, 3] [3] ---------- = ------ [17, 3, 0] [3, 0] denominator=, [17, 4, 0] [17, 4] [4] ---------- = ------ [17, 4, 0] [4, 0] denominator=, [17, 5, 0] [17, 5] [5] ---------- = ------ [17, 5, 0] [5, 0] denominator=, [17, 6, 0] [17, 6] [6] ---------- = ------ [17, 6, 0] [6, 0] denominator=, [17, 7, 0] [17, 7] [7] ---------- = ------ [17, 7, 0] [7, 0] denominator=, [17, 8, 0] [17, 8] [8] ---------- = ------ [17, 8, 0] [8, 0] denominator=, [17, 9, 0] [17, 9] [9] ---------- = ------ [17, 9, 0] [9, 0] denominator=, [17, 10, 0] [17, 10] [10] ----------- = ------- [17, 10, 0] [10, 0] denominator=, [17, 11, 0] [17, 11] [11] ----------- = ------- [17, 11, 0] [11, 0] denominator=, [17, 12, 0] [17, 12] [12] ----------- = ------- [17, 12, 0] [12, 0] denominator=, [17, 13, 0] [17, 13] [13] ----------- = ------- [17, 13, 0] [13, 0] denominator=, [17, 14, 0] [17, 14] [14] ----------- = ------- [17, 14, 0] [14, 0] denominator=, [17, 15, 0] [17, 15] [15] ----------- = ------- [17, 15, 0] [15, 0] denominator=, [17, 16, 0] [17, 16] [16] ----------- = ------- [17, 16, 0] [16, 0] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [18, 1, 0] [18, 1] [1] ---------- = ------ [18, 1, 0] [1, 0] denominator=, [18, 2, 0] [18, 2] [2] ---------- = ------ [18, 2, 0] [2, 0] denominator=, [18, 3, 0] [18, 3] [3] ---------- = ------ [18, 3, 0] [3, 0] denominator=, [18, 4, 0] [18, 4] [4] ---------- = ------ [18, 4, 0] [4, 0] denominator=, [18, 5, 0] [18, 5] [5] ---------- = ------ [18, 5, 0] [5, 0] denominator=, [18, 6, 0] [18, 6] [6] ---------- = ------ [18, 6, 0] [6, 0] denominator=, [18, 7, 0] [18, 7] [7] ---------- = ------ [18, 7, 0] [7, 0] denominator=, [18, 8, 0] [18, 8] [8] ---------- = ------ [18, 8, 0] [8, 0] denominator=, [18, 9, 0] [18, 9] [9] ---------- = ------ [18, 9, 0] [9, 0] denominator=, [18, 10, 0] [18, 10] [10] ----------- = ------- [18, 10, 0] [10, 0] [1, 18, 1] [1, 1] ----------- = ------- [18, 10, 0] [10, 0] denominator=, [18, 11, 0] [18, 11] [11] ----------- = ------- [18, 11, 0] [11, 0] [1, 18, 3] [1, 3] ----------- = ------- [18, 11, 0] [11, 0] denominator=, [18, 12, 0] [18, 12] [12] ----------- = ------- [18, 12, 0] [12, 0] [1, 18, 5] [1, 5] ----------- = ------- [18, 12, 0] [12, 0] denominator=, [18, 13, 0] [18, 13] [13] ----------- = ------- [18, 13, 0] [13, 0] [1, 18, 7] [1, 7] ----------- = ------- [18, 13, 0] [13, 0] [2, 18, 1] [2, 1] ----------- = ------- [18, 13, 0] [13, 0] denominator=, [18, 14, 0] [18, 14] [14] ----------- = ------- [18, 14, 0] [14, 0] [1, 18, 9] [1, 9] ----------- = ------- [18, 14, 0] [14, 0] [2, 18, 4] [2, 4] ----------- = ------- [18, 14, 0] [14, 0] denominator=, [18, 15, 0] [18, 15] [15] ----------- = ------- [18, 15, 0] [15, 0] [1, 18, 11] [1, 11] ----------- = ------- [18, 15, 0] [15, 0] [2, 18, 7] [2, 7] ----------- = ------- [18, 15, 0] [15, 0] [3, 18, 3] [3, 3] ----------- = ------- [18, 15, 0] [15, 0] denominator=, [18, 16, 0] [18, 16] [16] ----------- = ------- [18, 16, 0] [16, 0] [1, 18, 13] [1, 13] ----------- = ------- [18, 16, 0] [16, 0] [2, 18, 10] [2, 10] ----------- = ------- [18, 16, 0] [16, 0] [3, 18, 7] [3, 7] ----------- = ------- [18, 16, 0] [16, 0] [4, 18, 4] [4, 4] ----------- = ------- [18, 16, 0] [16, 0] [5, 18, 1] [5, 1] ----------- = ------- [18, 16, 0] [16, 0] denominator=, [18, 17, 0] [18, 17] [17] ----------- = ------- [18, 17, 0] [17, 0] [1, 18, 15] [1, 15] ----------- = ------- [18, 17, 0] [17, 0] [2, 18, 13] [2, 13] ----------- = ------- [18, 17, 0] [17, 0] [3, 18, 11] [3, 11] ----------- = ------- [18, 17, 0] [17, 0] [4, 18, 9] [4, 9] ----------- = ------- [18, 17, 0] [17, 0] [5, 18, 7] [5, 7] ----------- = ------- [18, 17, 0] [17, 0] [6, 18, 5] [6, 5] ----------- = ------- [18, 17, 0] [17, 0] [7, 18, 3] [7, 3] ----------- = ------- [18, 17, 0] [17, 0] [8, 18, 1] [8, 1] ----------- = ------- [18, 17, 0] [17, 0] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 19, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [4, 3, 9] [1, 4, 0, 2] [1, 0, 2] ------------ = --------- [4, 3, 9] [3, 9] denominator=, [4, 3, 11] [1, 4, 0, 13] [1, 0, 13] ------------- = ---------- [4, 3, 11] [3, 11] denominator=, [4, 3, 13] [1, 4, 1, 5] [1, 1, 5] ------------ = --------- [4, 3, 13] [3, 13] denominator=, [4, 3, 15] [1, 4, 1, 16] [1, 1, 16] ------------- = ---------- [4, 3, 15] [3, 15] denominator=, [4, 3, 17] [1, 4, 2, 8] [1, 2, 8] ------------ = --------- [4, 3, 17] [3, 17] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [1, 4, 3, 11] [1, 3, 11] ------------- = ---------- [4, 4, 2] [4, 2] [3, 4, 2, 10] [3, 2, 10] ------------- = ---------- [4, 4, 2] [4, 2] [5, 4, 1, 9] [5, 1, 9] ------------ = --------- [4, 4, 2] [4, 2] [7, 4, 0, 8] [7, 0, 8] ------------ = --------- [4, 4, 2] [4, 2] denominator=, [5, 4, 4] [1, 5, 0, 7] [1, 0, 7] ------------ = --------- [5, 4, 4] [4, 4] denominator=, [5, 4, 9] [1, 5, 1, 11] [1, 1, 11] ------------- = ---------- [5, 4, 9] [4, 9] denominator=, [5, 4, 14] [1, 5, 2, 15] [1, 2, 15] ------------- = ---------- [5, 4, 14] [4, 14] [2, 5, 0, 16] [2, 0, 16] ------------- = ---------- [5, 4, 14] [4, 14] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [7, 5, 10] [1, 7, 0, 14] [1, 0, 14] ------------- = ---------- [7, 5, 10] [5, 10] denominator=, [7, 5, 17] [1, 7, 2, 1] [1, 2, 1] ------------ = --------- [7, 5, 17] [5, 17] denominator=, [7, 6, 5] [1, 7, 3, 7] [1, 3, 7] ------------ = --------- [7, 6, 5] [6, 5] [2, 7, 0, 9] [2, 0, 9] ------------ = --------- [7, 6, 5] [6, 5] denominator=, [7, 6, 12] [1, 7, 4, 13] [1, 4, 13] ------------- = ---------- [7, 6, 12] [6, 12] [2, 7, 2, 14] [2, 2, 14] ------------- = ---------- [7, 6, 12] [6, 12] [3, 7, 0, 15] [3, 0, 15] ------------- = ---------- [7, 6, 12] [6, 12] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 5, 17] [1, 8, 0, 3] [1, 0, 3] ------------ = --------- [8, 5, 17] [5, 17] denominator=, [8, 6, 2] [1, 8, 0, 16] [1, 0, 16] ------------- = ---------- [8, 6, 2] [6, 2] denominator=, [8, 6, 6] [1, 8, 1, 10] [1, 1, 10] ------------- = ---------- [8, 6, 6] [6, 6] denominator=, [8, 6, 10] [1, 8, 2, 4] [1, 2, 4] ------------ = --------- [8, 6, 10] [6, 10] denominator=, [8, 6, 14] [1, 8, 2, 17] [1, 2, 17] ------------- = ---------- [8, 6, 14] [6, 14] denominator=, [8, 6, 18] [1, 8, 3, 11] [1, 3, 11] ------------- = ---------- [8, 6, 18] [6, 18] [2, 8, 0, 4] [2, 0, 4] ------------ = --------- [8, 6, 18] [6, 18] denominator=, [8, 7, 1] [2, 8, 0, 15] [2, 0, 15] ------------- = ---------- [8, 7, 1] [7, 1] denominator=, [8, 7, 3] [1, 8, 4, 5] [1, 4, 5] ------------ = --------- [8, 7, 3] [7, 3] [2, 8, 1, 7] [2, 1, 7] ------------ = --------- [8, 7, 3] [7, 3] denominator=, [8, 7, 5] [2, 8, 1, 18] [2, 1, 18] ------------- = ---------- [8, 7, 5] [7, 5] denominator=, [8, 7, 7] [1, 8, 4, 18] [1, 4, 18] ------------- = ---------- [8, 7, 7] [7, 7] [2, 8, 2, 10] [2, 2, 10] ------------- = ---------- [8, 7, 7] [7, 7] [3, 8, 0, 2] [3, 0, 2] ------------ = --------- [8, 7, 7] [7, 7] denominator=, [8, 7, 9] [2, 8, 3, 2] [2, 3, 2] ------------ = --------- [8, 7, 9] [7, 9] denominator=, [8, 7, 11] [1, 8, 5, 12] [1, 5, 12] ------------- = ---------- [8, 7, 11] [7, 11] [2, 8, 3, 13] [2, 3, 13] ------------- = ---------- [8, 7, 11] [7, 11] [3, 8, 1, 14] [3, 1, 14] ------------- = ---------- [8, 7, 11] [7, 11] denominator=, [8, 7, 13] [2, 8, 4, 5] [2, 4, 5] ------------ = --------- [8, 7, 13] [7, 13] denominator=, [8, 7, 15] [1, 8, 6, 6] [1, 6, 6] ------------ = --------- [8, 7, 15] [7, 15] [2, 8, 4, 16] [2, 4, 16] ------------- = ---------- [8, 7, 15] [7, 15] [3, 8, 3, 7] [3, 3, 7] ------------ = --------- [8, 7, 15] [7, 15] [5, 8, 0, 8] [5, 0, 8] ------------ = --------- [8, 7, 15] [7, 15] denominator=, [8, 7, 17] [2, 8, 5, 8] [2, 5, 8] ------------ = --------- [8, 7, 17] [7, 17] [6, 8, 0, 9] [6, 0, 9] ------------ = --------- [8, 7, 17] [7, 17] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [2, 8, 6, 11] [2, 6, 11] ------------- = ---------- [8, 8, 2] [8, 2] [6, 8, 3, 10] [6, 3, 10] ------------- = ---------- [8, 8, 2] [8, 2] [10, 8, 0, 9] [10, 0, 9] ------------- = ---------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [1, 8, 7, 13] [1, 7, 13] ------------- = ---------- [8, 8, 4] [8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [3, 8, 6, 12] [3, 6, 12] ------------- = ---------- [8, 8, 4] [8, 4] [5, 8, 5, 11] [5, 5, 11] ------------- = ---------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [7, 8, 4, 10] [7, 4, 10] ------------- = ---------- [8, 8, 4] [8, 4] [9, 8, 3, 9] [9, 3, 9] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 18] [10, 2, 18] -------------- = ----------- [8, 8, 4] [8, 4] [11, 8, 2, 8] [11, 2, 8] ------------- = ---------- [8, 8, 4] [8, 4] [13, 8, 1, 7] [13, 1, 7] ------------- = ---------- [8, 8, 4] [8, 4] [14, 8, 0, 16] [14, 0, 16] -------------- = ----------- [8, 8, 4] [8, 4] [15, 8, 0, 6] [15, 0, 6] ------------- = ---------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [2, 8, 7, 14] [2, 7, 14] ------------- = ---------- [8, 8, 6] [8, 6] [6, 8, 6, 11] [6, 6, 11] ------------- = ---------- [8, 8, 6] [8, 6] [10, 8, 5, 8] [10, 5, 8] ------------- = ---------- [8, 8, 6] [8, 6] [14, 8, 4, 5] [14, 4, 5] ------------- = ---------- [8, 8, 6] [8, 6] [18, 8, 3, 2] [18, 3, 2] ------------- = ---------- [8, 8, 6] [8, 6] [1, 3, 8, 1, 18] [1, 3, 1, 18] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 7, 8, 0, 15] [1, 7, 0, 15] ---------------- = ------------- [8, 8, 6] [8, 6] denominator=, [10, 6, 16] [1, 10, 0, 3] [1, 0, 3] ------------- = --------- [10, 6, 16] [6, 16] denominator=, [10, 7, 2] [1, 10, 0, 17] [1, 0, 17] -------------- = ---------- [10, 7, 2] [7, 2] denominator=, [10, 7, 7] [1, 10, 1, 12] [1, 1, 12] -------------- = ---------- [10, 7, 7] [7, 7] denominator=, [10, 7, 12] [1, 10, 2, 7] [1, 2, 7] ------------- = --------- [10, 7, 12] [7, 12] denominator=, [10, 7, 17] [1, 10, 3, 2] [1, 3, 2] ------------- = --------- [10, 7, 17] [7, 17] denominator=, [10, 8, 3] [1, 10, 3, 16] [1, 3, 16] -------------- = ---------- [10, 8, 3] [8, 3] denominator=, [10, 8, 8] [1, 10, 4, 11] [1, 4, 11] -------------- = ---------- [10, 8, 8] [8, 8] [2, 10, 0, 14] [2, 0, 14] -------------- = ---------- [10, 8, 8] [8, 8] denominator=, [10, 8, 13] [1, 10, 5, 6] [1, 5, 6] ------------- = --------- [10, 8, 13] [8, 13] [2, 10, 1, 18] [2, 1, 18] -------------- = ---------- [10, 8, 13] [8, 13] denominator=, [10, 8, 18] [1, 10, 6, 1] [1, 6, 1] ------------- = --------- [10, 8, 18] [8, 18] [2, 10, 3, 3] [2, 3, 3] ------------- = --------- [10, 8, 18] [8, 18] [3, 10, 0, 5] [3, 0, 5] ------------- = --------- [10, 8, 18] [8, 18] denominator=, [10, 9, 4] [1, 10, 6, 15] [1, 6, 15] -------------- = ---------- [10, 9, 4] [9, 4] [2, 10, 4, 7] [2, 4, 7] ------------- = --------- [10, 9, 4] [9, 4] [3, 10, 1, 18] [3, 1, 18] -------------- = ---------- [10, 9, 4] [9, 4] denominator=, [10, 9, 9] [1, 10, 7, 10] [1, 7, 10] -------------- = ---------- [10, 9, 9] [9, 9] [2, 10, 5, 11] [2, 5, 11] -------------- = ---------- [10, 9, 9] [9, 9] [3, 10, 3, 12] [3, 3, 12] -------------- = ---------- [10, 9, 9] [9, 9] [4, 10, 1, 13] [4, 1, 13] -------------- = ---------- [10, 9, 9] [9, 9] denominator=, [10, 9, 14] [1, 10, 8, 5] [1, 8, 5] ------------- = --------- [10, 9, 14] [9, 14] [2, 10, 6, 15] [2, 6, 15] -------------- = ---------- [10, 9, 14] [9, 14] [3, 10, 5, 6] [3, 5, 6] ------------- = --------- [10, 9, 14] [9, 14] [4, 10, 3, 16] [4, 3, 16] -------------- = ---------- [10, 9, 14] [9, 14] [6, 10, 0, 17] [6, 0, 17] -------------- = ---------- [10, 9, 14] [9, 14] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 5] [1, 10, 9, 14] [1, 9, 14] -------------- = ---------- [10, 10, 5] [10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [3, 10, 8, 13] [3, 8, 13] -------------- = ---------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [7, 10, 6, 11] [7, 6, 11] -------------- = ---------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [9, 10, 5, 10] [9, 5, 10] -------------- = ---------- [10, 10, 5] [10, 5] [11, 10, 4, 9] [11, 4, 9] -------------- = ---------- [10, 10, 5] [10, 5] [12, 10, 3, 18] [12, 3, 18] --------------- = ----------- [10, 10, 5] [10, 5] [13, 10, 3, 8] [13, 3, 8] -------------- = ---------- [10, 10, 5] [10, 5] [14, 10, 2, 17] [14, 2, 17] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 16] [16, 1, 16] --------------- = ----------- [10, 10, 5] [10, 5] [17, 10, 1, 6] [17, 1, 6] -------------- = ---------- [10, 10, 5] [10, 5] [18, 10, 0, 15] [18, 0, 15] --------------- = ----------- [10, 10, 5] [10, 5] [1, 0, 10, 0, 5] [1, 0, 0, 5] ---------------- = ------------ [10, 10, 5] [10, 5] denominator=, [11, 7, 10] [1, 11, 0, 16] [1, 0, 16] -------------- = ---------- [11, 7, 10] [7, 10] denominator=, [11, 8, 2] [1, 11, 2, 7] [1, 2, 7] ------------- = --------- [11, 8, 2] [8, 2] denominator=, [11, 8, 13] [1, 11, 3, 17] [1, 3, 17] -------------- = ---------- [11, 8, 13] [8, 13] denominator=, [11, 9, 5] [1, 11, 5, 8] [1, 5, 8] ------------- = --------- [11, 9, 5] [9, 5] [2, 11, 1, 11] [2, 1, 11] -------------- = ---------- [11, 9, 5] [9, 5] denominator=, [11, 9, 16] [1, 11, 6, 18] [1, 6, 18] -------------- = ---------- [11, 9, 16] [9, 16] [2, 11, 4, 1] [2, 4, 1] ------------- = --------- [11, 9, 16] [9, 16] [3, 11, 1, 3] [3, 1, 3] ------------- = --------- [11, 9, 16] [9, 16] denominator=, [11, 10, 8] [1, 11, 8, 9] [1, 8, 9] ------------- = --------- [11, 10, 8] [10, 8] [2, 11, 6, 10] [2, 6, 10] -------------- = ---------- [11, 10, 8] [10, 8] [3, 11, 4, 11] [3, 4, 11] -------------- = ---------- [11, 10, 8] [10, 8] [4, 11, 2, 12] [4, 2, 12] -------------- = ---------- [11, 10, 8] [10, 8] [5, 11, 0, 13] [5, 0, 13] -------------- = ---------- [11, 10, 8] [10, 8] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 7, 13] [1, 12, 0, 4] [1, 0, 4] ------------- = --------- [12, 7, 13] [7, 13] denominator=, [12, 7, 15] [1, 12, 0, 9] [1, 0, 9] ------------- = --------- [12, 7, 15] [7, 15] denominator=, [12, 7, 17] [1, 12, 0, 14] [1, 0, 14] -------------- = ---------- [12, 7, 17] [7, 17] denominator=, [12, 8, 0] [1, 12, 1, 0] [1, 1, 0] ------------- = --------- [12, 8, 0] [8, 0] denominator=, [12, 8, 2] [1, 12, 1, 5] [1, 1, 5] ------------- = --------- [12, 8, 2] [8, 2] denominator=, [12, 8, 4] [1, 12, 1, 10] [1, 1, 10] -------------- = ---------- [12, 8, 4] [8, 4] denominator=, [12, 8, 6] [1, 12, 1, 15] [1, 1, 15] -------------- = ---------- [12, 8, 6] [8, 6] denominator=, [12, 8, 8] [1, 12, 2, 1] [1, 2, 1] ------------- = --------- [12, 8, 8] [8, 8] denominator=, [12, 8, 10] [1, 12, 2, 6] [1, 2, 6] ------------- = --------- [12, 8, 10] [8, 10] denominator=, [12, 8, 12] [1, 12, 2, 11] [1, 2, 11] -------------- = ---------- [12, 8, 12] [8, 12] denominator=, [12, 8, 14] [1, 12, 2, 16] [1, 2, 16] -------------- = ---------- [12, 8, 14] [8, 14] denominator=, [12, 8, 16] [1, 12, 3, 2] [1, 3, 2] ------------- = --------- [12, 8, 16] [8, 16] denominator=, [12, 8, 18] [1, 12, 3, 7] [1, 3, 7] ------------- = --------- [12, 8, 18] [8, 18] denominator=, [12, 9, 1] [1, 12, 3, 12] [1, 3, 12] -------------- = ---------- [12, 9, 1] [9, 1] denominator=, [12, 9, 3] [1, 12, 3, 17] [1, 3, 17] -------------- = ---------- [12, 9, 3] [9, 3] denominator=, [12, 9, 5] [1, 12, 4, 3] [1, 4, 3] ------------- = --------- [12, 9, 5] [9, 5] denominator=, [12, 9, 7] [1, 12, 4, 8] [1, 4, 8] ------------- = --------- [12, 9, 7] [9, 7] denominator=, [12, 9, 9] [1, 12, 4, 13] [1, 4, 13] -------------- = ---------- [12, 9, 9] [9, 9] denominator=, [12, 9, 11] [1, 12, 4, 18] [1, 4, 18] -------------- = ---------- [12, 9, 11] [9, 11] denominator=, [12, 9, 13] [1, 12, 5, 4] [1, 5, 4] ------------- = --------- [12, 9, 13] [9, 13] denominator=, [12, 9, 15] [1, 12, 5, 9] [1, 5, 9] ------------- = --------- [12, 9, 15] [9, 15] denominator=, [12, 9, 17] [1, 12, 5, 14] [1, 5, 14] -------------- = ---------- [12, 9, 17] [9, 17] denominator=, [12, 10, 0] [1, 12, 6, 0] [1, 6, 0] ------------- = --------- [12, 10, 0] [10, 0] denominator=, [12, 10, 2] [1, 12, 6, 5] [1, 6, 5] ------------- = --------- [12, 10, 2] [10, 2] denominator=, [12, 10, 4] [1, 12, 6, 10] [1, 6, 10] -------------- = ---------- [12, 10, 4] [10, 4] denominator=, [12, 10, 6] [1, 12, 6, 15] [1, 6, 15] -------------- = ---------- [12, 10, 6] [10, 6] denominator=, [12, 10, 8] [1, 12, 7, 1] [1, 7, 1] ------------- = --------- [12, 10, 8] [10, 8] [3, 12, 0, 6] [3, 0, 6] ------------- = --------- [12, 10, 8] [10, 8] denominator=, [12, 10, 10] [1, 12, 7, 6] [1, 7, 6] ------------- = --------- [12, 10, 10] [10, 10] [3, 12, 0, 17] [3, 0, 17] -------------- = ---------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [1, 12, 7, 11] [1, 7, 11] -------------- = ---------- [12, 10, 12] [10, 12] [3, 12, 1, 9] [3, 1, 9] ------------- = --------- [12, 10, 12] [10, 12] denominator=, [12, 10, 14] [1, 12, 7, 16] [1, 7, 16] -------------- = ---------- [12, 10, 14] [10, 14] [3, 12, 2, 1] [3, 2, 1] ------------- = --------- [12, 10, 14] [10, 14] denominator=, [12, 10, 16] [1, 12, 8, 2] [1, 8, 2] ------------- = --------- [12, 10, 16] [10, 16] [3, 12, 2, 12] [3, 2, 12] -------------- = ---------- [12, 10, 16] [10, 16] denominator=, [12, 10, 18] [1, 12, 8, 7] [1, 8, 7] ------------- = --------- [12, 10, 18] [10, 18] [3, 12, 3, 4] [3, 3, 4] ------------- = --------- [12, 10, 18] [10, 18] denominator=, [12, 11, 1] [1, 12, 8, 12] [1, 8, 12] -------------- = ---------- [12, 11, 1] [11, 1] [3, 12, 3, 15] [3, 3, 15] -------------- = ---------- [12, 11, 1] [11, 1] denominator=, [12, 11, 3] [1, 12, 8, 17] [1, 8, 17] -------------- = ---------- [12, 11, 3] [11, 3] [3, 12, 4, 7] [3, 4, 7] ------------- = --------- [12, 11, 3] [11, 3] denominator=, [12, 11, 5] [1, 12, 9, 3] [1, 9, 3] ------------- = --------- [12, 11, 5] [11, 5] [3, 12, 4, 18] [3, 4, 18] -------------- = ---------- [12, 11, 5] [11, 5] [5, 12, 0, 14] [5, 0, 14] -------------- = ---------- [12, 11, 5] [11, 5] denominator=, [12, 11, 7] [1, 12, 9, 8] [1, 9, 8] ------------- = --------- [12, 11, 7] [11, 7] [3, 12, 5, 10] [3, 5, 10] -------------- = ---------- [12, 11, 7] [11, 7] [5, 12, 1, 12] [5, 1, 12] -------------- = ---------- [12, 11, 7] [11, 7] denominator=, [12, 11, 9] [1, 12, 9, 13] [1, 9, 13] -------------- = ---------- [12, 11, 9] [11, 9] [3, 12, 6, 2] [3, 6, 2] ------------- = --------- [12, 11, 9] [11, 9] [5, 12, 2, 10] [5, 2, 10] -------------- = ---------- [12, 11, 9] [11, 9] denominator=, [12, 11, 11] [1, 12, 9, 18] [1, 9, 18] -------------- = ---------- [12, 11, 11] [11, 11] [3, 12, 6, 13] [3, 6, 13] -------------- = ---------- [12, 11, 11] [11, 11] [5, 12, 3, 8] [5, 3, 8] ------------- = --------- [12, 11, 11] [11, 11] [7, 12, 0, 3] [7, 0, 3] ------------- = --------- [12, 11, 11] [11, 11] denominator=, [12, 11, 13] [1, 12, 10, 4] [1, 10, 4] -------------- = ---------- [12, 11, 13] [11, 13] [3, 12, 7, 5] [3, 7, 5] ------------- = --------- [12, 11, 13] [11, 13] [5, 12, 4, 6] [5, 4, 6] ------------- = --------- [12, 11, 13] [11, 13] [7, 12, 1, 7] [7, 1, 7] ------------- = --------- [12, 11, 13] [11, 13] denominator=, [12, 11, 15] [1, 12, 10, 9] [1, 10, 9] -------------- = ---------- [12, 11, 15] [11, 15] [3, 12, 7, 16] [3, 7, 16] -------------- = ---------- [12, 11, 15] [11, 15] [5, 12, 5, 4] [5, 5, 4] ------------- = --------- [12, 11, 15] [11, 15] [7, 12, 2, 11] [7, 2, 11] -------------- = ---------- [12, 11, 15] [11, 15] denominator=, [12, 11, 17] [1, 12, 10, 14] [1, 10, 14] --------------- = ----------- [12, 11, 17] [11, 17] [3, 12, 8, 8] [3, 8, 8] ------------- = --------- [12, 11, 17] [11, 17] [5, 12, 6, 2] [5, 6, 2] ------------- = --------- [12, 11, 17] [11, 17] [7, 12, 3, 15] [7, 3, 15] -------------- = ---------- [12, 11, 17] [11, 17] [9, 12, 1, 9] [9, 1, 9] ------------- = --------- [12, 11, 17] [11, 17] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [1, 12, 11, 5] [1, 11, 5] -------------- = ---------- [12, 12, 2] [12, 2] [3, 12, 9, 11] [3, 9, 11] -------------- = ---------- [12, 12, 2] [12, 2] [5, 12, 7, 17] [5, 7, 17] -------------- = ---------- [12, 12, 2] [12, 2] [7, 12, 6, 4] [7, 6, 4] ------------- = --------- [12, 12, 2] [12, 2] [9, 12, 4, 10] [9, 4, 10] -------------- = ---------- [12, 12, 2] [12, 2] [11, 12, 2, 16] [11, 2, 16] --------------- = ----------- [12, 12, 2] [12, 2] [13, 12, 1, 3] [13, 1, 3] -------------- = ---------- [12, 12, 2] [12, 2] denominator=, [12, 12, 4] [1, 12, 11, 10] [1, 11, 10] --------------- = ----------- [12, 12, 4] [12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [5, 12, 8, 15] [5, 8, 15] -------------- = ---------- [12, 12, 4] [12, 4] [7, 12, 7, 8] [7, 7, 8] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [11, 12, 4, 13] [11, 4, 13] --------------- = ----------- [12, 12, 4] [12, 4] [13, 12, 3, 6] [13, 3, 6] -------------- = ---------- [12, 12, 4] [12, 4] [15, 12, 1, 18] [15, 1, 18] --------------- = ----------- [12, 12, 4] [12, 4] [17, 12, 0, 11] [17, 0, 11] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [1, 12, 11, 15] [1, 11, 15] --------------- = ----------- [12, 12, 6] [12, 6] [3, 12, 10, 14] [3, 10, 14] --------------- = ----------- [12, 12, 6] [12, 6] [5, 12, 9, 13] [5, 9, 13] -------------- = ---------- [12, 12, 6] [12, 6] [7, 12, 8, 12] [7, 8, 12] -------------- = ---------- [12, 12, 6] [12, 6] [9, 12, 7, 11] [9, 7, 11] -------------- = ---------- [12, 12, 6] [12, 6] [11, 12, 6, 10] [11, 6, 10] --------------- = ----------- [12, 12, 6] [12, 6] [13, 12, 5, 9] [13, 5, 9] -------------- = ---------- [12, 12, 6] [12, 6] [15, 12, 4, 8] [15, 4, 8] -------------- = ---------- [12, 12, 6] [12, 6] [17, 12, 3, 7] [17, 3, 7] -------------- = ---------- [12, 12, 6] [12, 6] [1, 0, 12, 2, 6] [1, 0, 2, 6] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 2, 12, 1, 5] [1, 2, 1, 5] ---------------- = ------------ [12, 12, 6] [12, 6] [1, 4, 12, 0, 4] [1, 4, 0, 4] ---------------- = ------------ [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [1, 12, 12, 1] [1, 12, 1] -------------- = ---------- [12, 12, 8] [12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [5, 12, 10, 11] [5, 10, 11] --------------- = ----------- [12, 12, 8] [12, 8] [7, 12, 9, 16] [7, 9, 16] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [11, 12, 8, 7] [11, 8, 7] -------------- = ---------- [12, 12, 8] [12, 8] [13, 12, 7, 12] [13, 7, 12] --------------- = ----------- [12, 12, 8] [12, 8] [15, 12, 6, 17] [15, 6, 17] --------------- = ----------- [12, 12, 8] [12, 8] [17, 12, 6, 3] [17, 6, 3] -------------- = ---------- [12, 12, 8] [12, 8] [1, 0, 12, 5, 8] [1, 0, 5, 8] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 2, 12, 4, 13] [1, 2, 4, 13] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 4, 12, 3, 18] [1, 4, 3, 18] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 6, 12, 3, 4] [1, 6, 3, 4] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 8, 12, 2, 9] [1, 8, 2, 9] ---------------- = ------------ [12, 12, 8] [12, 8] [1, 10, 12, 1, 14] [1, 10, 1, 14] ------------------ = -------------- [12, 12, 8] [12, 8] [1, 12, 12, 1, 0] [1, 12, 1, 0] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 14, 12, 0, 5] [1, 14, 0, 5] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 10] [1, 12, 12, 6] [1, 12, 6] -------------- = ---------- [12, 12, 10] [12, 10] [3, 12, 11, 17] [3, 11, 17] --------------- = ----------- [12, 12, 10] [12, 10] [5, 12, 11, 9] [5, 11, 9] -------------- = ---------- [12, 12, 10] [12, 10] [7, 12, 11, 1] [7, 11, 1] -------------- = ---------- [12, 12, 10] [12, 10] [9, 12, 10, 12] [9, 10, 12] --------------- = ----------- [12, 12, 10] [12, 10] [11, 12, 10, 4] [11, 10, 4] --------------- = ----------- [12, 12, 10] [12, 10] [13, 12, 9, 15] [13, 9, 15] --------------- = ----------- [12, 12, 10] [12, 10] [15, 12, 9, 7] [15, 9, 7] -------------- = ---------- [12, 12, 10] [12, 10] [17, 12, 8, 18] [17, 8, 18] --------------- = ----------- [12, 12, 10] [12, 10] [1, 0, 12, 8, 10] [1, 0, 8, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 2, 12, 8, 2] [1, 2, 8, 2] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 4, 12, 7, 13] [1, 4, 7, 13] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 6, 12, 7, 5] [1, 6, 7, 5] ---------------- = ------------ [12, 12, 10] [12, 10] [1, 8, 12, 6, 16] [1, 8, 6, 16] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 8] [1, 10, 6, 8] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 12, 12, 6, 0] [1, 12, 6, 0] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 14, 12, 5, 11] [1, 14, 5, 11] ------------------ = -------------- [12, 12, 10] [12, 10] [1, 16, 12, 5, 3] [1, 16, 5, 3] ----------------- = ------------- [12, 12, 10] [12, 10] [1, 18, 12, 4, 14] [1, 18, 4, 14] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 1, 12, 4, 6] [2, 1, 4, 6] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 3, 12, 3, 17] [2, 3, 3, 17] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 5, 12, 3, 9] [2, 5, 3, 9] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 7, 12, 3, 1] [2, 7, 3, 1] ---------------- = ------------ [12, 12, 10] [12, 10] [2, 9, 12, 2, 12] [2, 9, 2, 12] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 11, 12, 2, 4] [2, 11, 2, 4] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 13, 12, 1, 15] [2, 13, 1, 15] ------------------ = -------------- [12, 12, 10] [12, 10] [2, 15, 12, 1, 7] [2, 15, 1, 7] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 17, 12, 0, 18] [2, 17, 0, 18] ------------------ = -------------- [12, 12, 10] [12, 10] [3, 0, 12, 0, 10] [3, 0, 0, 10] ----------------- = ------------- [12, 12, 10] [12, 10] [3, 2, 12, 0, 2] [3, 2, 0, 2] ---------------- = ------------ [12, 12, 10] [12, 10] denominator=, [13, 8, 4] [1, 13, 0, 11] [1, 0, 11] -------------- = ---------- [13, 8, 4] [8, 4] denominator=, [13, 8, 17] [1, 13, 2, 4] [1, 2, 4] ------------- = --------- [13, 8, 17] [8, 17] denominator=, [13, 9, 11] [1, 13, 3, 16] [1, 3, 16] -------------- = ---------- [13, 9, 11] [9, 11] denominator=, [13, 10, 5] [1, 13, 5, 9] [1, 5, 9] ------------- = --------- [13, 10, 5] [10, 5] [2, 13, 0, 13] [2, 0, 13] -------------- = ---------- [13, 10, 5] [10, 5] denominator=, [13, 10, 18] [1, 13, 7, 2] [1, 7, 2] ------------- = --------- [13, 10, 18] [10, 18] [2, 13, 3, 5] [2, 3, 5] ------------- = --------- [13, 10, 18] [10, 18] denominator=, [13, 11, 12] [1, 13, 8, 14] [1, 8, 14] -------------- = ---------- [13, 11, 12] [11, 12] [2, 13, 5, 16] [2, 5, 16] -------------- = ---------- [13, 11, 12] [11, 12] [3, 13, 2, 18] [3, 2, 18] -------------- = ---------- [13, 11, 12] [11, 12] [4, 13, 0, 1] [4, 0, 1] ------------- = --------- [13, 11, 12] [11, 12] denominator=, [13, 12, 6] [1, 13, 10, 7] [1, 10, 7] -------------- = ---------- [13, 12, 6] [12, 6] [2, 13, 8, 8] [2, 8, 8] ------------- = --------- [13, 12, 6] [12, 6] [3, 13, 6, 9] [3, 6, 9] ------------- = --------- [13, 12, 6] [12, 6] [4, 13, 4, 10] [4, 4, 10] -------------- = ---------- [13, 12, 6] [12, 6] [5, 13, 2, 11] [5, 2, 11] -------------- = ---------- [13, 12, 6] [12, 6] [6, 13, 0, 12] [6, 0, 12] -------------- = ---------- [13, 12, 6] [12, 6] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [14, 8, 9] [1, 14, 0, 7] [1, 0, 7] ------------- = --------- [14, 8, 9] [8, 9] denominator=, [14, 8, 16] [1, 14, 1, 4] [1, 1, 4] ------------- = --------- [14, 8, 16] [8, 16] denominator=, [14, 9, 4] [1, 14, 2, 1] [1, 2, 1] ------------- = --------- [14, 9, 4] [9, 4] denominator=, [14, 9, 11] [1, 14, 2, 17] [1, 2, 17] -------------- = ---------- [14, 9, 11] [9, 11] denominator=, [14, 9, 18] [1, 14, 3, 14] [1, 3, 14] -------------- = ---------- [14, 9, 18] [9, 18] denominator=, [14, 10, 6] [1, 14, 4, 11] [1, 4, 11] -------------- = ---------- [14, 10, 6] [10, 6] denominator=, [14, 10, 13] [1, 14, 5, 8] [1, 5, 8] ------------- = --------- [14, 10, 13] [10, 13] [2, 14, 0, 3] [2, 0, 3] ------------- = --------- [14, 10, 13] [10, 13] denominator=, [14, 11, 1] [1, 14, 6, 5] [1, 6, 5] ------------- = --------- [14, 11, 1] [11, 1] [2, 14, 1, 9] [2, 1, 9] ------------- = --------- [14, 11, 1] [11, 1] denominator=, [14, 11, 8] [1, 14, 7, 2] [1, 7, 2] ------------- = --------- [14, 11, 8] [11, 8] [2, 14, 2, 15] [2, 2, 15] -------------- = ---------- [14, 11, 8] [11, 8] denominator=, [14, 11, 15] [1, 14, 7, 18] [1, 7, 18] -------------- = ---------- [14, 11, 15] [11, 15] [2, 14, 4, 2] [2, 4, 2] ------------- = --------- [14, 11, 15] [11, 15] [3, 14, 0, 5] [3, 0, 5] ------------- = --------- [14, 11, 15] [11, 15] denominator=, [14, 12, 3] [1, 14, 8, 15] [1, 8, 15] -------------- = ---------- [14, 12, 3] [12, 3] [2, 14, 5, 8] [2, 5, 8] ------------- = --------- [14, 12, 3] [12, 3] [3, 14, 2, 1] [3, 2, 1] ------------- = --------- [14, 12, 3] [12, 3] denominator=, [14, 12, 10] [1, 14, 9, 12] [1, 9, 12] -------------- = ---------- [14, 12, 10] [12, 10] [2, 14, 6, 14] [2, 6, 14] -------------- = ---------- [14, 12, 10] [12, 10] [3, 14, 3, 16] [3, 3, 16] -------------- = ---------- [14, 12, 10] [12, 10] [4, 14, 0, 18] [4, 0, 18] -------------- = ---------- [14, 12, 10] [12, 10] denominator=, [14, 12, 17] [1, 14, 10, 9] [1, 10, 9] -------------- = ---------- [14, 12, 17] [12, 17] [2, 14, 8, 1] [2, 8, 1] ------------- = --------- [14, 12, 17] [12, 17] [3, 14, 5, 12] [3, 5, 12] -------------- = ---------- [14, 12, 17] [12, 17] [4, 14, 3, 4] [4, 3, 4] ------------- = --------- [14, 12, 17] [12, 17] [5, 14, 0, 15] [5, 0, 15] -------------- = ---------- [14, 12, 17] [12, 17] denominator=, [14, 13, 5] [1, 14, 11, 6] [1, 11, 6] -------------- = ---------- [14, 13, 5] [13, 5] [2, 14, 9, 7] [2, 9, 7] ------------- = --------- [14, 13, 5] [13, 5] [3, 14, 7, 8] [3, 7, 8] ------------- = --------- [14, 13, 5] [13, 5] [4, 14, 5, 9] [4, 5, 9] ------------- = --------- [14, 13, 5] [13, 5] [5, 14, 3, 10] [5, 3, 10] -------------- = ---------- [14, 13, 5] [13, 5] [6, 14, 1, 11] [6, 1, 11] -------------- = ---------- [14, 13, 5] [13, 5] denominator=, [14, 13, 12] [1, 14, 12, 3] [1, 12, 3] -------------- = ---------- [14, 13, 12] [13, 12] [2, 14, 10, 13] [2, 10, 13] --------------- = ----------- [14, 13, 12] [13, 12] [3, 14, 9, 4] [3, 9, 4] ------------- = --------- [14, 13, 12] [13, 12] [4, 14, 7, 14] [4, 7, 14] -------------- = ---------- [14, 13, 12] [13, 12] [5, 14, 6, 5] [5, 6, 5] ------------- = --------- [14, 13, 12] [13, 12] [6, 14, 4, 15] [6, 4, 15] -------------- = ---------- [14, 13, 12] [13, 12] [8, 14, 1, 16] [8, 1, 16] -------------- = ---------- [14, 13, 12] [13, 12] [9, 14, 0, 7] [9, 0, 7] ------------- = --------- [14, 13, 12] [13, 12] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 7] [1, 14, 13, 16] [1, 13, 16] --------------- = ----------- [14, 14, 7] [14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [3, 14, 12, 15] [3, 12, 15] --------------- = ----------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [5, 14, 11, 14] [5, 11, 14] --------------- = ----------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [9, 14, 9, 12] [9, 9, 12] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [11, 14, 8, 11] [11, 8, 11] --------------- = ----------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [13, 14, 7, 10] [13, 7, 10] --------------- = ----------- [14, 14, 7] [14, 7] [15, 14, 6, 9] [15, 6, 9] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 18] [16, 5, 18] --------------- = ----------- [14, 14, 7] [14, 7] [17, 14, 5, 8] [17, 5, 8] -------------- = ---------- [14, 14, 7] [14, 7] [18, 14, 4, 17] [18, 4, 17] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 4, 7] [1, 0, 4, 7] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 1, 14, 3, 16] [1, 1, 3, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 3, 14, 2, 15] [1, 3, 2, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 2, 5] [1, 4, 2, 5] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 5, 14, 1, 14] [1, 5, 1, 14] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 1, 4] [1, 6, 1, 4] ---------------- = ------------ [14, 14, 7] [14, 7] [1, 7, 14, 0, 13] [1, 7, 0, 13] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 8, 14, 0, 3] [1, 8, 0, 3] ---------------- = ------------ [14, 14, 7] [14, 7] denominator=, [15, 8, 13] [1, 15, 0, 2] [1, 0, 2] ------------- = --------- [15, 8, 13] [8, 13] denominator=, [15, 8, 18] [1, 15, 0, 13] [1, 0, 13] -------------- = ---------- [15, 8, 18] [8, 18] denominator=, [15, 9, 4] [1, 15, 1, 5] [1, 1, 5] ------------- = --------- [15, 9, 4] [9, 4] denominator=, [15, 9, 9] [1, 15, 1, 16] [1, 1, 16] -------------- = ---------- [15, 9, 9] [9, 9] denominator=, [15, 9, 14] [1, 15, 2, 8] [1, 2, 8] ------------- = --------- [15, 9, 14] [9, 14] denominator=, [15, 10, 0] [1, 15, 3, 0] [1, 3, 0] ------------- = --------- [15, 10, 0] [10, 0] denominator=, [15, 10, 5] [1, 15, 3, 11] [1, 3, 11] -------------- = ---------- [15, 10, 5] [10, 5] denominator=, [15, 10, 10] [1, 15, 4, 3] [1, 4, 3] ------------- = --------- [15, 10, 10] [10, 10] denominator=, [15, 10, 15] [1, 15, 4, 14] [1, 4, 14] -------------- = ---------- [15, 10, 15] [10, 15] denominator=, [15, 11, 1] [1, 15, 5, 6] [1, 5, 6] ------------- = --------- [15, 11, 1] [11, 1] denominator=, [15, 11, 6] [1, 15, 5, 17] [1, 5, 17] -------------- = ---------- [15, 11, 6] [11, 6] [2, 15, 0, 9] [2, 0, 9] ------------- = --------- [15, 11, 6] [11, 6] denominator=, [15, 11, 11] [1, 15, 6, 9] [1, 6, 9] ------------- = --------- [15, 11, 11] [11, 11] [2, 15, 1, 7] [2, 1, 7] ------------- = --------- [15, 11, 11] [11, 11] denominator=, [15, 11, 16] [1, 15, 7, 1] [1, 7, 1] ------------- = --------- [15, 11, 16] [11, 16] [2, 15, 2, 5] [2, 2, 5] ------------- = --------- [15, 11, 16] [11, 16] denominator=, [15, 12, 2] [1, 15, 7, 12] [1, 7, 12] -------------- = ---------- [15, 12, 2] [12, 2] [2, 15, 3, 3] [2, 3, 3] ------------- = --------- [15, 12, 2] [12, 2] denominator=, [15, 12, 7] [1, 15, 8, 4] [1, 8, 4] ------------- = --------- [15, 12, 7] [12, 7] [2, 15, 4, 1] [2, 4, 1] ------------- = --------- [15, 12, 7] [12, 7] denominator=, [15, 12, 12] [1, 15, 8, 15] [1, 8, 15] -------------- = ---------- [15, 12, 12] [12, 12] [2, 15, 4, 18] [2, 4, 18] -------------- = ---------- [15, 12, 12] [12, 12] [3, 15, 1, 2] [3, 1, 2] ------------- = --------- [15, 12, 12] [12, 12] denominator=, [15, 12, 17] [1, 15, 9, 7] [1, 9, 7] ------------- = --------- [15, 12, 17] [12, 17] [2, 15, 5, 16] [2, 5, 16] -------------- = ---------- [15, 12, 17] [12, 17] [3, 15, 2, 6] [3, 2, 6] ------------- = --------- [15, 12, 17] [12, 17] denominator=, [15, 13, 3] [1, 15, 9, 18] [1, 9, 18] -------------- = ---------- [15, 13, 3] [13, 3] [2, 15, 6, 14] [2, 6, 14] -------------- = ---------- [15, 13, 3] [13, 3] [3, 15, 3, 10] [3, 3, 10] -------------- = ---------- [15, 13, 3] [13, 3] [4, 15, 0, 6] [4, 0, 6] ------------- = --------- [15, 13, 3] [13, 3] denominator=, [15, 13, 8] [1, 15, 10, 10] [1, 10, 10] --------------- = ----------- [15, 13, 8] [13, 8] [2, 15, 7, 12] [2, 7, 12] -------------- = ---------- [15, 13, 8] [13, 8] [3, 15, 4, 14] [3, 4, 14] -------------- = ---------- [15, 13, 8] [13, 8] [4, 15, 1, 16] [4, 1, 16] -------------- = ---------- [15, 13, 8] [13, 8] denominator=, [15, 13, 13] [1, 15, 11, 2] [1, 11, 2] -------------- = ---------- [15, 13, 13] [13, 13] [2, 15, 8, 10] [2, 8, 10] -------------- = ---------- [15, 13, 13] [13, 13] [3, 15, 5, 18] [3, 5, 18] -------------- = ---------- [15, 13, 13] [13, 13] [4, 15, 3, 7] [4, 3, 7] ------------- = --------- [15, 13, 13] [13, 13] denominator=, [15, 13, 18] [1, 15, 11, 13] [1, 11, 13] --------------- = ----------- [15, 13, 18] [13, 18] [2, 15, 9, 8] [2, 9, 8] ------------- = --------- [15, 13, 18] [13, 18] [3, 15, 7, 3] [3, 7, 3] ------------- = --------- [15, 13, 18] [13, 18] [4, 15, 4, 17] [4, 4, 17] -------------- = ---------- [15, 13, 18] [13, 18] [6, 15, 0, 7] [6, 0, 7] ------------- = --------- [15, 13, 18] [13, 18] denominator=, [15, 14, 4] [1, 15, 12, 5] [1, 12, 5] -------------- = ---------- [15, 14, 4] [14, 4] [2, 15, 10, 6] [2, 10, 6] -------------- = ---------- [15, 14, 4] [14, 4] [3, 15, 8, 7] [3, 8, 7] ------------- = --------- [15, 14, 4] [14, 4] [4, 15, 6, 8] [4, 6, 8] ------------- = --------- [15, 14, 4] [14, 4] [6, 15, 2, 10] [6, 2, 10] -------------- = ---------- [15, 14, 4] [14, 4] [7, 15, 0, 11] [7, 0, 11] -------------- = ---------- [15, 14, 4] [14, 4] denominator=, [15, 14, 9] [1, 15, 12, 16] [1, 12, 16] --------------- = ----------- [15, 14, 9] [14, 9] [2, 15, 11, 4] [2, 11, 4] -------------- = ---------- [15, 14, 9] [14, 9] [3, 15, 9, 11] [3, 9, 11] -------------- = ---------- [15, 14, 9] [14, 9] [4, 15, 7, 18] [4, 7, 18] -------------- = ---------- [15, 14, 9] [14, 9] [6, 15, 4, 13] [6, 4, 13] -------------- = ---------- [15, 14, 9] [14, 9] [7, 15, 3, 1] [7, 3, 1] ------------- = --------- [15, 14, 9] [14, 9] [8, 15, 1, 8] [8, 1, 8] ------------- = --------- [15, 14, 9] [14, 9] denominator=, [15, 14, 14] [1, 15, 13, 8] [1, 13, 8] -------------- = ---------- [15, 14, 14] [14, 14] [2, 15, 12, 2] [2, 12, 2] -------------- = ---------- [15, 14, 14] [14, 14] [3, 15, 10, 15] [3, 10, 15] --------------- = ----------- [15, 14, 14] [14, 14] [4, 15, 9, 9] [4, 9, 9] ------------- = --------- [15, 14, 14] [14, 14] [6, 15, 6, 16] [6, 6, 16] -------------- = ---------- [15, 14, 14] [14, 14] [7, 15, 5, 10] [7, 5, 10] -------------- = ---------- [15, 14, 14] [14, 14] [8, 15, 4, 4] [8, 4, 4] ------------- = --------- [15, 14, 14] [14, 14] [9, 15, 2, 17] [9, 2, 17] -------------- = ---------- [15, 14, 14] [14, 14] [11, 15, 0, 5] [11, 0, 5] -------------- = ---------- [15, 14, 14] [14, 14] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 5] [1, 15, 14, 11] [1, 14, 11] --------------- = ----------- [15, 15, 5] [15, 5] [2, 15, 13, 17] [2, 13, 17] --------------- = ----------- [15, 15, 5] [15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [4, 15, 12, 10] [4, 12, 10] --------------- = ----------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [7, 15, 10, 9] [7, 10, 9] -------------- = ---------- [15, 15, 5] [15, 5] [8, 15, 9, 15] [8, 9, 15] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [11, 15, 7, 14] [11, 7, 14] --------------- = ----------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [13, 15, 6, 7] [13, 6, 7] -------------- = ---------- [15, 15, 5] [15, 5] [14, 15, 5, 13] [14, 5, 13] --------------- = ----------- [15, 15, 5] [15, 5] [16, 15, 4, 6] [16, 4, 6] -------------- = ---------- [15, 15, 5] [15, 5] [17, 15, 3, 12] [17, 3, 12] --------------- = ----------- [15, 15, 5] [15, 5] [18, 15, 2, 18] [18, 2, 18] --------------- = ----------- [15, 15, 5] [15, 5] [1, 0, 15, 2, 5] [1, 0, 2, 5] ---------------- = ------------ [15, 15, 5] [15, 5] [1, 2, 15, 0, 17] [1, 2, 0, 17] ----------------- = ------------- [15, 15, 5] [15, 5] [1, 3, 15, 0, 4] [1, 3, 0, 4] ---------------- = ------------ [15, 15, 5] [15, 5] denominator=, [15, 15, 10] [1, 15, 15, 3] [1, 15, 3] -------------- = ---------- [15, 15, 10] [15, 10] [2, 15, 14, 15] [2, 14, 15] --------------- = ----------- [15, 15, 10] [15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [4, 15, 14, 1] [4, 14, 1] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [7, 15, 12, 18] [7, 12, 18] --------------- = ----------- [15, 15, 10] [15, 10] [8, 15, 12, 11] [8, 12, 11] --------------- = ----------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [11, 15, 11, 9] [11, 11, 9] --------------- = ----------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [13, 15, 10, 14] [13, 10, 14] ---------------- = ------------ [15, 15, 10] [15, 10] [14, 15, 10, 7] [14, 10, 7] --------------- = ----------- [15, 15, 10] [15, 10] [16, 15, 9, 12] [16, 9, 12] --------------- = ----------- [15, 15, 10] [15, 10] [17, 15, 9, 5] [17, 9, 5] -------------- = ---------- [15, 15, 10] [15, 10] [18, 15, 8, 17] [18, 8, 17] --------------- = ----------- [15, 15, 10] [15, 10] [1, 0, 15, 8, 10] [1, 0, 8, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 2, 15, 7, 15] [1, 2, 7, 15] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 3, 15, 7, 8] [1, 3, 7, 8] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 4, 15, 7, 1] [1, 4, 7, 1] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 5, 15, 6, 13] [1, 5, 6, 13] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 5, 18] [1, 7, 5, 18] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 8, 15, 5, 11] [1, 8, 5, 11] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 9, 15, 5, 4] [1, 9, 5, 4] ---------------- = ------------ [15, 15, 10] [15, 10] [1, 10, 15, 4, 16] [1, 10, 4, 16] ------------------ = -------------- [15, 15, 10] [15, 10] [1, 12, 15, 4, 2] [1, 12, 4, 2] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 13, 15, 3, 14] [1, 13, 3, 14] ------------------ = -------------- [15, 15, 10] [15, 10] [1, 14, 15, 3, 7] [1, 14, 3, 7] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 15, 15, 3, 0] [1, 15, 3, 0] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 17, 15, 2, 5] [1, 17, 2, 5] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 18, 15, 1, 17] [1, 18, 1, 17] ------------------ = -------------- [15, 15, 10] [15, 10] [2, 0, 15, 1, 10] [2, 0, 1, 10] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 1, 15, 1, 3] [2, 1, 1, 3] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 3, 15, 0, 8] [2, 3, 0, 8] ---------------- = ------------ [15, 15, 10] [15, 10] [2, 4, 15, 0, 1] [2, 4, 0, 1] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [16, 9, 5] [1, 16, 0, 13] [1, 0, 13] -------------- = ---------- [16, 9, 5] [9, 5] denominator=, [16, 9, 13] [1, 16, 1, 11] [1, 1, 11] -------------- = ---------- [16, 9, 13] [9, 13] denominator=, [16, 10, 2] [1, 16, 2, 9] [1, 2, 9] ------------- = --------- [16, 10, 2] [10, 2] denominator=, [16, 10, 10] [1, 16, 3, 7] [1, 3, 7] ------------- = --------- [16, 10, 10] [10, 10] denominator=, [16, 10, 18] [1, 16, 4, 5] [1, 4, 5] ------------- = --------- [16, 10, 18] [10, 18] denominator=, [16, 11, 7] [1, 16, 5, 3] [1, 5, 3] ------------- = --------- [16, 11, 7] [11, 7] denominator=, [16, 11, 15] [1, 16, 6, 1] [1, 6, 1] ------------- = --------- [16, 11, 15] [11, 15] [2, 16, 0, 6] [2, 0, 6] ------------- = --------- [16, 11, 15] [11, 15] denominator=, [16, 12, 0] [2, 16, 1, 0] [2, 1, 0] ------------- = --------- [16, 12, 0] [12, 0] denominator=, [16, 12, 4] [1, 16, 6, 18] [1, 6, 18] -------------- = ---------- [16, 12, 4] [12, 4] [2, 16, 1, 13] [2, 1, 13] -------------- = ---------- [16, 12, 4] [12, 4] denominator=, [16, 12, 8] [2, 16, 2, 7] [2, 2, 7] ------------- = --------- [16, 12, 8] [12, 8] denominator=, [16, 12, 12] [1, 16, 7, 16] [1, 7, 16] -------------- = ---------- [16, 12, 12] [12, 12] [2, 16, 3, 1] [2, 3, 1] ------------- = --------- [16, 12, 12] [12, 12] denominator=, [16, 12, 16] [2, 16, 3, 14] [2, 3, 14] -------------- = ---------- [16, 12, 16] [12, 16] denominator=, [16, 13, 1] [1, 16, 8, 14] [1, 8, 14] -------------- = ---------- [16, 13, 1] [13, 1] [2, 16, 4, 8] [2, 4, 8] ------------- = --------- [16, 13, 1] [13, 1] [3, 16, 0, 2] [3, 0, 2] ------------- = --------- [16, 13, 1] [13, 1] denominator=, [16, 13, 5] [2, 16, 5, 2] [2, 5, 2] ------------- = --------- [16, 13, 5] [13, 5] denominator=, [16, 13, 9] [1, 16, 9, 12] [1, 9, 12] -------------- = ---------- [16, 13, 9] [13, 9] [2, 16, 5, 15] [2, 5, 15] -------------- = ---------- [16, 13, 9] [13, 9] [3, 16, 1, 18] [3, 1, 18] -------------- = ---------- [16, 13, 9] [13, 9] denominator=, [16, 13, 13] [2, 16, 6, 9] [2, 6, 9] ------------- = --------- [16, 13, 13] [13, 13] denominator=, [16, 13, 17] [1, 16, 10, 10] [1, 10, 10] --------------- = ----------- [16, 13, 17] [13, 17] [2, 16, 7, 3] [2, 7, 3] ------------- = --------- [16, 13, 17] [13, 17] [3, 16, 3, 15] [3, 3, 15] -------------- = ---------- [16, 13, 17] [13, 17] [4, 16, 0, 8] [4, 0, 8] ------------- = --------- [16, 13, 17] [13, 17] denominator=, [16, 14, 0] [4, 16, 1, 0] [4, 1, 0] ------------- = --------- [16, 14, 0] [14, 0] denominator=, [16, 14, 2] [2, 16, 7, 16] [2, 7, 16] -------------- = ---------- [16, 14, 2] [14, 2] [4, 16, 1, 11] [4, 1, 11] -------------- = ---------- [16, 14, 2] [14, 2] denominator=, [16, 14, 4] [4, 16, 2, 3] [4, 2, 3] ------------- = --------- [16, 14, 4] [14, 4] denominator=, [16, 14, 6] [1, 16, 11, 8] [1, 11, 8] -------------- = ---------- [16, 14, 6] [14, 6] [2, 16, 8, 10] [2, 8, 10] -------------- = ---------- [16, 14, 6] [14, 6] [3, 16, 5, 12] [3, 5, 12] -------------- = ---------- [16, 14, 6] [14, 6] [4, 16, 2, 14] [4, 2, 14] -------------- = ---------- [16, 14, 6] [14, 6] denominator=, [16, 14, 8] [4, 16, 3, 6] [4, 3, 6] ------------- = --------- [16, 14, 8] [14, 8] denominator=, [16, 14, 10] [2, 16, 9, 4] [2, 9, 4] ------------- = --------- [16, 14, 10] [14, 10] [4, 16, 3, 17] [4, 3, 17] -------------- = ---------- [16, 14, 10] [14, 10] denominator=, [16, 14, 12] [4, 16, 4, 9] [4, 4, 9] ------------- = --------- [16, 14, 12] [14, 12] denominator=, [16, 14, 14] [1, 16, 12, 6] [1, 12, 6] -------------- = ---------- [16, 14, 14] [14, 14] [2, 16, 9, 17] [2, 9, 17] -------------- = ---------- [16, 14, 14] [14, 14] [3, 16, 7, 9] [3, 7, 9] ------------- = --------- [16, 14, 14] [14, 14] [4, 16, 5, 1] [4, 5, 1] ------------- = --------- [16, 14, 14] [14, 14] [5, 16, 2, 12] [5, 2, 12] -------------- = ---------- [16, 14, 14] [14, 14] [6, 16, 0, 4] [6, 0, 4] ------------- = --------- [16, 14, 14] [14, 14] denominator=, [16, 14, 16] [4, 16, 5, 12] [4, 5, 12] -------------- = ---------- [16, 14, 16] [14, 16] denominator=, [16, 14, 18] [2, 16, 10, 11] [2, 10, 11] --------------- = ----------- [16, 14, 18] [14, 18] [4, 16, 6, 4] [4, 6, 4] ------------- = --------- [16, 14, 18] [14, 18] [6, 16, 1, 16] [6, 1, 16] -------------- = ---------- [16, 14, 18] [14, 18] denominator=, [16, 15, 1] [4, 16, 6, 15] [4, 6, 15] -------------- = ---------- [16, 15, 1] [15, 1] denominator=, [16, 15, 3] [1, 16, 13, 4] [1, 13, 4] -------------- = ---------- [16, 15, 3] [15, 3] [2, 16, 11, 5] [2, 11, 5] -------------- = ---------- [16, 15, 3] [15, 3] [3, 16, 9, 6] [3, 9, 6] ------------- = --------- [16, 15, 3] [15, 3] [4, 16, 7, 7] [4, 7, 7] ------------- = --------- [16, 15, 3] [15, 3] [5, 16, 5, 8] [5, 5, 8] ------------- = --------- [16, 15, 3] [15, 3] [6, 16, 3, 9] [6, 3, 9] ------------- = --------- [16, 15, 3] [15, 3] [7, 16, 1, 10] [7, 1, 10] -------------- = ---------- [16, 15, 3] [15, 3] denominator=, [16, 15, 5] [4, 16, 7, 18] [4, 7, 18] -------------- = ---------- [16, 15, 5] [15, 5] denominator=, [16, 15, 7] [2, 16, 11, 18] [2, 11, 18] --------------- = ----------- [16, 15, 7] [15, 7] [4, 16, 8, 10] [4, 8, 10] -------------- = ---------- [16, 15, 7] [15, 7] [6, 16, 5, 2] [6, 5, 2] ------------- = --------- [16, 15, 7] [15, 7] denominator=, [16, 15, 9] [4, 16, 9, 2] [4, 9, 2] ------------- = --------- [16, 15, 9] [15, 9] denominator=, [16, 15, 11] [1, 16, 14, 2] [1, 14, 2] -------------- = ---------- [16, 15, 11] [15, 11] [2, 16, 12, 12] [2, 12, 12] --------------- = ----------- [16, 15, 11] [15, 11] [3, 16, 11, 3] [3, 11, 3] -------------- = ---------- [16, 15, 11] [15, 11] [4, 16, 9, 13] [4, 9, 13] -------------- = ---------- [16, 15, 11] [15, 11] [5, 16, 8, 4] [5, 8, 4] ------------- = --------- [16, 15, 11] [15, 11] [6, 16, 6, 14] [6, 6, 14] -------------- = ---------- [16, 15, 11] [15, 11] [7, 16, 5, 5] [7, 5, 5] ------------- = --------- [16, 15, 11] [15, 11] [9, 16, 2, 6] [9, 2, 6] ------------- = --------- [16, 15, 11] [15, 11] [10, 16, 0, 16] [10, 0, 16] --------------- = ----------- [16, 15, 11] [15, 11] denominator=, [16, 15, 13] [4, 16, 10, 5] [4, 10, 5] -------------- = ---------- [16, 15, 13] [15, 13] denominator=, [16, 15, 15] [2, 16, 13, 6] [2, 13, 6] -------------- = ---------- [16, 15, 15] [15, 15] [4, 16, 10, 16] [4, 10, 16] --------------- = ----------- [16, 15, 15] [15, 15] [6, 16, 8, 7] [6, 8, 7] ------------- = --------- [16, 15, 15] [15, 15] [10, 16, 3, 8] [10, 3, 8] -------------- = ---------- [16, 15, 15] [15, 15] [12, 16, 0, 18] [12, 0, 18] --------------- = ----------- [16, 15, 15] [15, 15] denominator=, [16, 15, 17] [4, 16, 11, 8] [4, 11, 8] -------------- = ---------- [16, 15, 17] [15, 17] [12, 16, 2, 9] [12, 2, 9] -------------- = ---------- [16, 15, 17] [15, 17] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [4, 16, 12, 11] [4, 12, 11] --------------- = ----------- [16, 16, 2] [16, 2] [12, 16, 5, 10] [12, 5, 10] --------------- = ----------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [2, 16, 14, 13] [2, 14, 13] --------------- = ----------- [16, 16, 4] [16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [6, 16, 11, 12] [6, 11, 12] --------------- = ----------- [16, 16, 4] [16, 4] [10, 16, 8, 11] [10, 8, 11] --------------- = ----------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [14, 16, 5, 10] [14, 5, 10] --------------- = ----------- [16, 16, 4] [16, 4] [18, 16, 2, 9] [18, 2, 9] -------------- = ---------- [16, 16, 4] [16, 4] [1, 1, 16, 0, 18] [1, 1, 0, 18] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [4, 16, 13, 14] [4, 13, 14] --------------- = ----------- [16, 16, 6] [16, 6] [12, 16, 8, 11] [12, 8, 11] --------------- = ----------- [16, 16, 6] [16, 6] [1, 1, 16, 3, 8] [1, 1, 3, 8] ---------------- = ------------ [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [1, 16, 15, 17] [1, 15, 17] --------------- = ----------- [16, 16, 8] [16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [3, 16, 14, 16] [3, 14, 16] --------------- = ----------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [5, 16, 13, 15] [5, 13, 15] --------------- = ----------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [7, 16, 12, 14] [7, 12, 14] --------------- = ----------- [16, 16, 8] [16, 8] [9, 16, 11, 13] [9, 11, 13] --------------- = ----------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [11, 16, 10, 12] [11, 10, 12] ---------------- = ------------ [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [13, 16, 9, 11] [13, 9, 11] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [15, 16, 8, 10] [15, 8, 10] --------------- = ----------- [16, 16, 8] [16, 8] [17, 16, 7, 9] [17, 7, 9] -------------- = ---------- [16, 16, 8] [16, 8] [18, 16, 6, 18] [18, 6, 18] --------------- = ----------- [16, 16, 8] [16, 8] [1, 0, 16, 6, 8] [1, 0, 6, 8] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 1, 16, 5, 17] [1, 1, 5, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 5, 7] [1, 2, 5, 7] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 3, 16, 4, 16] [1, 3, 4, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 4, 6] [1, 4, 4, 6] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 6, 16, 3, 5] [1, 6, 3, 5] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 7, 16, 2, 14] [1, 7, 2, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 2, 4] [1, 8, 2, 4] ---------------- = ------------ [16, 16, 8] [16, 8] [1, 9, 16, 1, 13] [1, 9, 1, 13] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 1, 3] [1, 10, 1, 3] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 11, 16, 0, 12] [1, 11, 0, 12] ------------------ = -------------- [16, 16, 8] [16, 8] [1, 12, 16, 0, 2] [1, 12, 0, 2] ----------------- = ------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [4, 16, 14, 17] [4, 14, 17] --------------- = ----------- [16, 16, 10] [16, 10] [12, 16, 11, 12] [12, 11, 12] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 1, 16, 8, 7] [1, 1, 8, 7] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 9, 16, 5, 2] [1, 9, 5, 2] ---------------- = ------------ [16, 16, 10] [16, 10] [1, 17, 16, 1, 16] [1, 17, 1, 16] ------------------ = -------------- [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [2, 16, 16, 1] [2, 16, 1] -------------- = ---------- [16, 16, 12] [16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [6, 16, 14, 17] [6, 14, 17] --------------- = ----------- [16, 16, 12] [16, 12] [10, 16, 13, 14] [10, 13, 14] ---------------- = ------------ [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [14, 16, 12, 11] [14, 12, 11] ---------------- = ------------ [16, 16, 12] [16, 12] [18, 16, 11, 8] [18, 11, 8] --------------- = ----------- [16, 16, 12] [16, 12] [1, 1, 16, 10, 16] [1, 1, 10, 16] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 3, 16, 10, 5] [1, 3, 10, 5] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 7, 16, 9, 2] [1, 7, 9, 2] ---------------- = ------------ [16, 16, 12] [16, 12] [1, 9, 16, 8, 10] [1, 9, 8, 10] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 11, 16, 7, 18] [1, 11, 7, 18] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 15, 16, 6, 15] [1, 15, 6, 15] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 17, 16, 6, 4] [1, 17, 6, 4] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 5, 12] [2, 0, 5, 12] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 4, 16, 4, 9] [2, 4, 4, 9] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 6, 16, 3, 17] [2, 6, 3, 17] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 8, 16, 3, 6] [2, 8, 3, 6] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 12, 16, 2, 3] [2, 12, 2, 3] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 14, 16, 1, 11] [2, 14, 1, 11] ------------------ = -------------- [16, 16, 12] [16, 12] [2, 16, 16, 1, 0] [2, 16, 1, 0] ----------------- = ------------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [4, 16, 16, 1] [4, 16, 1] -------------- = ---------- [16, 16, 14] [16, 14] [12, 16, 14, 13] [12, 14, 13] ---------------- = ------------ [16, 16, 14] [16, 14] [1, 1, 16, 13, 6] [1, 1, 13, 6] ----------------- = ------------- [16, 16, 14] [16, 14] [1, 9, 16, 11, 18] [1, 9, 11, 18] ------------------ = -------------- [16, 16, 14] [16, 14] [1, 17, 16, 10, 11] [1, 17, 10, 11] ------------------- = --------------- [16, 16, 14] [16, 14] [2, 6, 16, 9, 4] [2, 6, 9, 4] ---------------- = ------------ [16, 16, 14] [16, 14] [2, 14, 16, 7, 16] [2, 14, 7, 16] ------------------ = -------------- [16, 16, 14] [16, 14] [3, 3, 16, 6, 9] [3, 3, 6, 9] ---------------- = ------------ [16, 16, 14] [16, 14] [3, 11, 16, 5, 2] [3, 11, 5, 2] ----------------- = ------------- [16, 16, 14] [16, 14] [4, 0, 16, 3, 14] [4, 0, 3, 14] ----------------- = ------------- [16, 16, 14] [16, 14] [4, 8, 16, 2, 7] [4, 8, 2, 7] ---------------- = ------------ [16, 16, 14] [16, 14] [4, 16, 16, 1, 0] [4, 16, 1, 0] ----------------- = ------------- [16, 16, 14] [16, 14] denominator=, [17, 9, 16] [1, 17, 1, 5] [1, 1, 5] ------------- = --------- [17, 9, 16] [9, 16] denominator=, [17, 10, 14] [1, 17, 3, 2] [1, 3, 2] ------------- = --------- [17, 10, 14] [10, 14] denominator=, [17, 11, 12] [1, 17, 4, 18] [1, 4, 18] -------------- = ---------- [17, 11, 12] [11, 12] denominator=, [17, 12, 10] [1, 17, 6, 15] [1, 6, 15] -------------- = ---------- [17, 12, 10] [12, 10] [2, 17, 1, 1] [2, 1, 1] ------------- = --------- [17, 12, 10] [12, 10] denominator=, [17, 13, 8] [1, 17, 8, 12] [1, 8, 12] -------------- = ---------- [17, 13, 8] [13, 8] [2, 17, 3, 16] [2, 3, 16] -------------- = ---------- [17, 13, 8] [13, 8] denominator=, [17, 14, 6] [1, 17, 10, 9] [1, 10, 9] -------------- = ---------- [17, 14, 6] [14, 6] [2, 17, 6, 12] [2, 6, 12] -------------- = ---------- [17, 14, 6] [14, 6] [3, 17, 2, 15] [3, 2, 15] -------------- = ---------- [17, 14, 6] [14, 6] denominator=, [17, 15, 4] [1, 17, 12, 6] [1, 12, 6] -------------- = ---------- [17, 15, 4] [15, 4] [2, 17, 9, 8] [2, 9, 8] ------------- = --------- [17, 15, 4] [15, 4] [3, 17, 6, 10] [3, 6, 10] -------------- = ---------- [17, 15, 4] [15, 4] [4, 17, 3, 12] [4, 3, 12] -------------- = ---------- [17, 15, 4] [15, 4] [5, 17, 0, 14] [5, 0, 14] -------------- = ---------- [17, 15, 4] [15, 4] denominator=, [17, 16, 2] [1, 17, 14, 3] [1, 14, 3] -------------- = ---------- [17, 16, 2] [16, 2] [2, 17, 12, 4] [2, 12, 4] -------------- = ---------- [17, 16, 2] [16, 2] [3, 17, 10, 5] [3, 10, 5] -------------- = ---------- [17, 16, 2] [16, 2] [4, 17, 8, 6] [4, 8, 6] ------------- = --------- [17, 16, 2] [16, 2] [5, 17, 6, 7] [5, 6, 7] ------------- = --------- [17, 16, 2] [16, 2] [6, 17, 4, 8] [6, 4, 8] ------------- = --------- [17, 16, 2] [16, 2] [7, 17, 2, 9] [7, 2, 9] ------------- = --------- [17, 16, 2] [16, 2] [8, 17, 0, 10] [8, 0, 10] -------------- = ---------- [17, 16, 2] [16, 2] denominator=, [17, 17, 0] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [17, 17, 0] [17, 0] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [17, 17, 0] [17, 0] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [17, 17, 0] [17, 0] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [17, 17, 0] [17, 0] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [17, 17, 0] [17, 0] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [17, 17, 0] [17, 0] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [17, 17, 0] [17, 0] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [17, 17, 0] [17, 0] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [17, 17, 0] [17, 0] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [17, 17, 0] [17, 0] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [17, 17, 0] [17, 0] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [17, 17, 0] [17, 0] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [17, 17, 0] [17, 0] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [17, 17, 0] [17, 0] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [17, 17, 0] [17, 0] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [17, 17, 0] [17, 0] ------------------------------------------------------------------------- This ends this book that took, 268.382, seconds to generate. ---------------------------------------------- Base , 20 Lots and Lots of Anomalous Cancellations in base, 20 By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellations in base, 20, where the denominator has up to , 3, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct! Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations in base, 20, with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [19, 10] [1, 19] [1] -------- = ---- [19, 10] [10] denominator=, [19, 15] [3, 19] [3] -------- = ---- [19, 15] [15] denominator=, [19, 16] [4, 19] [4] -------- = ---- [19, 16] [16] denominator=, [19, 18] [9, 19] [9] -------- = ---- [19, 18] [18] ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 10, 5] [7, 5, 4] [7, 4] ---------- = ------- [1, 10, 5] [1, 10] denominator=, [1, 10, 6] [6, 6, 5] [6, 5] ---------- = ------- [1, 10, 6] [1, 10] denominator=, [1, 13, 3] [12, 3, 2] [12, 2] ---------- = ------- [1, 13, 3] [1, 13] denominator=, [1, 13, 11] [4, 11, 10] [4, 10] ----------- = ------- [1, 13, 11] [1, 13] denominator=, [1, 15, 7] [11, 7, 5] [11, 5] ---------- = ------- [1, 15, 7] [1, 15] denominator=, [1, 15, 10] [8, 10, 8] [8, 8] ----------- = ------- [1, 15, 10] [1, 15] denominator=, [1, 16, 6] [13, 6, 4] [13, 4] ---------- = ------- [1, 16, 6] [1, 16] denominator=, [1, 16, 12] [7, 12, 10] [7, 10] ----------- = ------- [1, 16, 12] [1, 16] denominator=, [1, 19, 9] [14, 9, 6] [14, 6] ---------- = ------- [1, 19, 9] [1, 19] denominator=, [1, 19, 13] [10, 13, 10] [10, 10] ------------ = -------- [1, 19, 13] [1, 19] denominator=, [2, 0, 8] [16, 8, 5] [16, 5] ---------- = ------- [2, 0, 8] [2, 0] denominator=, [2, 0, 15] [9, 15, 12] [9, 12] ----------- = ------- [2, 0, 15] [2, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 2, 7] [19, 7, 4] [19, 4] ---------- = ------- [2, 2, 7] [2, 2] denominator=, [2, 2, 12] [15, 12, 8] [15, 8] ----------- = ------- [2, 2, 12] [2, 2] denominator=, [2, 2, 14] [13, 14, 10] [13, 10] ------------ = -------- [2, 2, 14] [2, 2] denominator=, [2, 2, 18] [8, 18, 15] [8, 15] ----------- = ------- [2, 2, 18] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 5, 9] [1, 1, 9, 5] [1, 1, 5] ------------ = --------- [2, 5, 9] [2, 5] denominator=, [2, 5, 15] [16, 15, 10] [16, 10] ------------ = -------- [2, 5, 15] [2, 5] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 8, 16] [19, 16, 10] [19, 10] ------------ = -------- [2, 8, 16] [2, 8] denominator=, [2, 8, 18] [17, 18, 12] [17, 12] ------------ = -------- [2, 8, 18] [2, 8] denominator=, [2, 9, 14] [1, 2, 14, 8] [1, 2, 8] ------------- = --------- [2, 9, 14] [2, 9] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 11, 17] [1, 2, 17, 10] [1, 2, 10] -------------- = ---------- [2, 11, 17] [2, 11] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 6] [11, 6, 5] [11, 5] ---------- = ------- [2, 14, 6] [2, 14] denominator=, [2, 14, 9] [8, 9, 8] [8, 8] ---------- = ------- [2, 14, 9] [2, 14] [1, 11, 9, 4] [1, 11, 4] ------------- = ---------- [2, 14, 9] [2, 14] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [2, 14, 18] [1, 5, 18, 10] [1, 5, 10] -------------- = ---------- [2, 14, 18] [2, 14] denominator=, [2, 15, 5] [13, 5, 4] [13, 4] ---------- = ------- [2, 15, 5] [2, 15] [1, 14, 5, 2] [1, 14, 2] ------------- = ---------- [2, 15, 5] [2, 15] denominator=, [2, 15, 11] [7, 11, 10] [7, 10] ----------- = ------- [2, 15, 11] [2, 15] [1, 11, 11, 5] [1, 11, 5] -------------- = ---------- [2, 15, 11] [2, 15] denominator=, [2, 16, 16] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [2, 18, 18] [1, 10, 18, 9] [1, 10, 9] -------------- = ---------- [2, 18, 18] [2, 18] denominator=, [3, 0, 10] [14, 10, 8] [14, 8] ----------- = ------- [3, 0, 10] [3, 0] [1, 17, 10, 4] [1, 17, 4] -------------- = ---------- [3, 0, 10] [3, 0] denominator=, [3, 0, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 0, 12] [3, 0] [1, 16, 12, 5] [1, 16, 5] -------------- = ---------- [3, 0, 12] [3, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 3, 7] [1, 0, 7, 5] [1, 0, 5] ------------ = --------- [3, 3, 7] [3, 3] denominator=, [3, 3, 18] [9, 18, 16] [9, 16] ----------- = ------- [3, 3, 18] [3, 3] [1, 16, 18, 8] [1, 16, 8] -------------- = ---------- [3, 3, 18] [3, 3] denominator=, [3, 5, 13] [17, 13, 10] [17, 10] ------------ = -------- [3, 5, 13] [3, 5] [2, 1, 13, 5] [2, 1, 5] ------------- = --------- [3, 5, 13] [3, 5] denominator=, [3, 5, 15] [15, 15, 12] [15, 12] ------------ = -------- [3, 5, 15] [3, 5] [2, 0, 15, 6] [2, 0, 6] ------------- = --------- [3, 5, 15] [3, 5] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 6, 11] [1, 0, 11, 8] [1, 0, 8] ------------- = --------- [3, 6, 11] [3, 6] [2, 3, 11, 4] [2, 3, 4] ------------- = --------- [3, 6, 11] [3, 6] denominator=, [3, 6, 18] [13, 18, 15] [13, 15] ------------ = -------- [3, 6, 18] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 10, 14] [1, 2, 14, 10] [1, 2, 10] -------------- = ---------- [3, 10, 14] [3, 10] [2, 6, 14, 5] [2, 6, 5] ------------- = --------- [3, 10, 14] [3, 10] denominator=, [3, 12, 8] [1, 9, 8, 5] [1, 9, 5] ------------ = --------- [3, 12, 8] [3, 12] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [3, 17, 7] [14, 7, 6] [14, 6] ---------- = ------- [3, 17, 7] [3, 17] [1, 15, 7, 4] [1, 15, 4] ------------- = ---------- [3, 17, 7] [3, 17] [2, 16, 7, 2] [2, 16, 2] ------------- = ---------- [3, 17, 7] [3, 17] denominator=, [3, 17, 11] [10, 11, 10] [10, 10] ------------ = -------- [3, 17, 11] [3, 17] denominator=, [3, 18, 6] [16, 6, 5] [16, 5] ---------- = ------- [3, 18, 6] [3, 18] denominator=, [3, 18, 13] [9, 13, 12] [9, 12] ----------- = ------- [3, 18, 13] [3, 18] [1, 12, 13, 8] [1, 12, 8] -------------- = ---------- [3, 18, 13] [3, 18] [2, 15, 13, 4] [2, 15, 4] -------------- = ---------- [3, 18, 13] [3, 18] denominator=, [3, 18, 18] [1, 8, 18, 12] [1, 8, 12] -------------- = ---------- [3, 18, 18] [3, 18] [2, 13, 18, 6] [2, 13, 6] -------------- = ---------- [3, 18, 18] [3, 18] denominator=, [4, 0, 5] [19, 5, 4] [19, 4] ---------- = ------- [4, 0, 5] [4, 0] denominator=, [4, 0, 16] [8, 16, 15] [8, 15] ----------- = ------- [4, 0, 16] [4, 0] [1, 12, 16, 10] [1, 12, 10] --------------- = ----------- [4, 0, 16] [4, 0] [2, 16, 16, 5] [2, 16, 5] -------------- = ---------- [4, 0, 16] [4, 0] denominator=, [4, 1, 9] [1, 18, 9, 5] [1, 18, 5] ------------- = ---------- [4, 1, 9] [4, 1] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 4, 12] [17, 12, 10] [17, 10] ------------ = -------- [4, 4, 12] [4, 4] denominator=, [4, 4, 14] [15, 14, 12] [15, 12] ------------ = -------- [4, 4, 14] [4, 4] [1, 18, 14, 8] [1, 18, 8] -------------- = ---------- [4, 4, 14] [4, 4] [3, 1, 14, 4] [3, 1, 4] ------------- = --------- [4, 4, 14] [4, 4] denominator=, [4, 5, 10] [1, 0, 10, 8] [1, 0, 8] ------------- = --------- [4, 5, 10] [4, 5] denominator=, [4, 5, 17] [13, 17, 15] [13, 15] ------------ = -------- [4, 5, 17] [4, 5] [1, 17, 17, 10] [1, 17, 10] --------------- = ----------- [4, 5, 17] [4, 5] [3, 1, 17, 5] [3, 1, 5] ------------- = --------- [4, 5, 17] [4, 5] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 10, 15] [1, 1, 15, 12] [1, 1, 12] -------------- = ---------- [4, 10, 15] [4, 10] [2, 4, 15, 8] [2, 4, 8] ------------- = --------- [4, 10, 15] [4, 10] [3, 7, 15, 4] [3, 7, 4] ------------- = --------- [4, 10, 15] [4, 10] denominator=, [4, 10, 18] [18, 18, 15] [18, 15] ------------ = -------- [4, 10, 18] [4, 10] [2, 2, 18, 10] [2, 2, 10] -------------- = ---------- [4, 10, 18] [4, 10] [3, 6, 18, 5] [3, 6, 5] ------------- = --------- [4, 10, 18] [4, 10] denominator=, [4, 11, 7] [1, 9, 7, 5] [1, 9, 5] ------------ = --------- [4, 11, 7] [4, 11] denominator=, [4, 11, 13] [1, 4, 13, 10] [1, 4, 10] -------------- = ---------- [4, 11, 13] [4, 11] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 13, 3] [1, 14, 3, 2] [1, 14, 2] ------------- = ---------- [4, 13, 3] [4, 13] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [4, 16, 6] [1, 15, 6, 4] [1, 15, 4] ------------- = ---------- [4, 16, 6] [4, 16] denominator=, [4, 16, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] denominator=, [4, 18, 14] [1, 11, 14, 10] [1, 11, 10] --------------- = ----------- [4, 18, 14] [4, 18] denominator=, [4, 18, 18] [2, 11, 18, 9] [2, 11, 9] -------------- = ---------- [4, 18, 18] [4, 18] denominator=, [4, 19, 9] [15, 9, 8] [15, 8] ---------- = ------- [4, 19, 9] [4, 19] [1, 16, 9, 6] [1, 16, 6] ------------- = ---------- [4, 19, 9] [4, 19] [2, 17, 9, 4] [2, 17, 4] ------------- = ---------- [4, 19, 9] [4, 19] [3, 18, 9, 2] [3, 18, 2] ------------- = ---------- [4, 19, 9] [4, 19] denominator=, [4, 19, 11] [13, 11, 10] [13, 10] ------------ = -------- [4, 19, 11] [4, 19] [2, 16, 11, 5] [2, 16, 5] -------------- = ---------- [4, 19, 11] [4, 19] denominator=, [5, 2, 6] [1, 1, 6, 5] [1, 1, 5] ------------ = --------- [5, 2, 6] [5, 2] denominator=, [5, 2, 12] [1, 17, 12, 8] [1, 17, 8] -------------- = ---------- [5, 2, 12] [5, 2] denominator=, [5, 2, 17] [10, 17, 16] [10, 16] ------------ = -------- [5, 2, 17] [5, 2] [1, 13, 17, 12] [1, 13, 12] --------------- = ----------- [5, 2, 17] [5, 2] [2, 16, 17, 8] [2, 16, 8] -------------- = ---------- [5, 2, 17] [5, 2] [3, 19, 17, 4] [3, 19, 4] -------------- = ---------- [5, 2, 17] [5, 2] denominator=, [5, 4, 8] [2, 2, 8, 5] [2, 2, 5] ------------ = --------- [5, 4, 8] [5, 4] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 5, 15] [1, 18, 15, 10] [1, 18, 10] --------------- = ----------- [5, 5, 15] [5, 5] denominator=, [5, 8, 12] [1, 2, 12, 10] [1, 2, 10] -------------- = ---------- [5, 8, 12] [5, 8] [3, 5, 12, 5] [3, 5, 5] ------------- = --------- [5, 8, 12] [5, 8] denominator=, [5, 8, 18] [16, 18, 16] [16, 16] ------------ = -------- [5, 8, 18] [5, 8] [1, 19, 18, 12] [1, 19, 12] --------------- = ----------- [5, 8, 18] [5, 8] [3, 2, 18, 8] [3, 2, 8] ------------- = --------- [5, 8, 18] [5, 8] [4, 5, 18, 4] [4, 5, 4] ------------- = --------- [5, 8, 18] [5, 8] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 12, 7] [2, 11, 7, 4] [2, 11, 4] ------------- = ---------- [5, 12, 7] [5, 12] denominator=, [5, 12, 16] [2, 5, 16, 10] [2, 5, 10] -------------- = ---------- [5, 12, 16] [5, 12] denominator=, [5, 14, 18] [1, 3, 18, 15] [1, 3, 15] -------------- = ---------- [5, 14, 18] [5, 14] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [5, 17, 9] [2, 15, 9, 5] [2, 15, 5] ------------- = ---------- [5, 17, 9] [5, 17] denominator=, [5, 17, 13] [1, 11, 13, 10] [1, 11, 10] --------------- = ----------- [5, 17, 13] [5, 17] [3, 14, 13, 5] [3, 14, 5] -------------- = ---------- [5, 17, 13] [5, 17] denominator=, [5, 19, 7] [1, 18, 7, 5] [1, 18, 5] ------------- = ---------- [5, 19, 7] [5, 19] denominator=, [5, 19, 14] [2, 14, 14, 8] [2, 14, 8] -------------- = ---------- [5, 19, 14] [5, 19] denominator=, [5, 19, 17] [2, 12, 17, 10] [2, 12, 10] --------------- = ----------- [5, 19, 17] [5, 19] denominator=, [6, 1, 11] [16, 11, 10] [16, 10] ------------ = -------- [6, 1, 11] [6, 1] [1, 17, 11, 8] [1, 17, 8] -------------- = ---------- [6, 1, 11] [6, 1] [2, 18, 11, 6] [2, 18, 6] -------------- = ---------- [6, 1, 11] [6, 1] [3, 19, 11, 4] [3, 19, 4] -------------- = ---------- [6, 1, 11] [6, 1] [5, 0, 11, 2] [5, 0, 2] ------------- = --------- [6, 1, 11] [6, 1] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 6, 14] [2, 0, 14, 10] [2, 0, 10] -------------- = ---------- [6, 6, 14] [6, 6] [4, 3, 14, 5] [4, 3, 5] ------------- = --------- [6, 6, 14] [6, 6] denominator=, [6, 6, 18] [2, 19, 18, 10] [2, 19, 10] --------------- = ----------- [6, 6, 18] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 5] [1, 11, 5, 4] [1, 11, 4] ------------- = ---------- [6, 10, 5] [6, 10] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 10] [1, 12, 10, 8] [1, 12, 8] -------------- = ---------- [6, 15, 10] [6, 15] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [6, 16, 8] [2, 15, 8, 5] [2, 15, 5] ------------- = ---------- [6, 16, 8] [6, 16] denominator=, [6, 16, 16] [3, 11, 16, 8] [3, 11, 8] -------------- = ---------- [6, 16, 16] [6, 16] denominator=, [6, 18, 18] [1, 8, 18, 15] [1, 8, 15] -------------- = ---------- [6, 18, 18] [6, 18] [2, 10, 18, 12] [2, 10, 12] --------------- = ----------- [6, 18, 18] [6, 18] [3, 12, 18, 9] [3, 12, 9] -------------- = ---------- [6, 18, 18] [6, 18] [4, 14, 18, 6] [4, 14, 6] -------------- = ---------- [6, 18, 18] [6, 18] [5, 16, 18, 3] [5, 16, 3] -------------- = ---------- [6, 18, 18] [6, 18] denominator=, [7, 0, 15] [1, 13, 15, 12] [1, 13, 12] --------------- = ----------- [7, 0, 15] [7, 0] denominator=, [7, 3, 11] [19, 11, 10] [19, 10] ------------ = -------- [7, 3, 11] [7, 3] [4, 1, 11, 5] [4, 1, 5] ------------- = --------- [7, 3, 11] [7, 3] denominator=, [7, 3, 13] [17, 13, 12] [17, 12] ------------ = -------- [7, 3, 13] [7, 3] [1, 18, 13, 10] [1, 18, 10] --------------- = ----------- [7, 3, 13] [7, 3] [2, 19, 13, 8] [2, 19, 8] -------------- = ---------- [7, 3, 13] [7, 3] [4, 0, 13, 6] [4, 0, 6] ------------- = --------- [7, 3, 13] [7, 3] [5, 1, 13, 4] [5, 1, 4] ------------- = --------- [7, 3, 13] [7, 3] [6, 2, 13, 2] [6, 2, 2] ------------- = --------- [7, 3, 13] [7, 3] denominator=, [7, 4, 9] [1, 2, 9, 8] [1, 2, 8] ------------ = --------- [7, 4, 9] [7, 4] [4, 3, 9, 4] [4, 3, 4] ------------ = --------- [7, 4, 9] [7, 4] denominator=, [7, 4, 16] [15, 16, 15] [15, 15] ------------ = -------- [7, 4, 16] [7, 4] [2, 18, 16, 10] [2, 18, 10] --------------- = ----------- [7, 4, 16] [7, 4] [5, 1, 16, 5] [5, 1, 5] ------------- = --------- [7, 4, 16] [7, 4] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 10, 6] [1, 11, 6, 5] [1, 11, 5] ------------- = ---------- [7, 10, 6] [7, 10] denominator=, [7, 13, 3] [2, 16, 3, 2] [2, 16, 2] ------------- = ---------- [7, 13, 3] [7, 13] denominator=, [7, 13, 9] [3, 12, 9, 5] [3, 12, 5] ------------- = ---------- [7, 13, 9] [7, 13] denominator=, [7, 13, 17] [1, 4, 17, 15] [1, 4, 15] -------------- = ---------- [7, 13, 17] [7, 13] [3, 7, 17, 10] [3, 7, 10] -------------- = ---------- [7, 13, 17] [7, 13] [5, 10, 17, 5] [5, 10, 5] -------------- = ---------- [7, 13, 17] [7, 13] denominator=, [7, 13, 18] [1, 3, 18, 16] [1, 3, 16] -------------- = ---------- [7, 13, 18] [7, 13] [4, 8, 18, 8] [4, 8, 8] ------------- = --------- [7, 13, 18] [7, 13] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [7, 15, 5] [1, 17, 5, 4] [1, 17, 4] ------------- = ---------- [7, 15, 5] [7, 15] [4, 16, 5, 2] [4, 16, 2] ------------- = ---------- [7, 15, 5] [7, 15] denominator=, [7, 16, 6] [2, 17, 6, 4] [2, 17, 4] ------------- = ---------- [7, 16, 6] [7, 16] denominator=, [7, 16, 12] [1, 12, 12, 10] [1, 12, 10] --------------- = ----------- [7, 16, 12] [7, 16] [4, 14, 12, 5] [4, 14, 5] -------------- = ---------- [7, 16, 12] [7, 16] denominator=, [7, 19, 9] [2, 18, 9, 6] [2, 18, 6] ------------- = ---------- [7, 19, 9] [7, 19] denominator=, [8, 0, 10] [1, 18, 10, 8] [1, 18, 8] -------------- = ---------- [8, 0, 10] [8, 0] [4, 19, 10, 4] [4, 19, 4] -------------- = ---------- [8, 0, 10] [8, 0] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 2, 12] [2, 19, 12, 8] [2, 19, 8] -------------- = ---------- [8, 2, 12] [8, 2] denominator=, [8, 2, 18] [1, 13, 18, 15] [1, 13, 15] --------------- = ----------- [8, 2, 18] [8, 2] [3, 16, 18, 10] [3, 16, 10] --------------- = ----------- [8, 2, 18] [8, 2] [5, 19, 18, 5] [5, 19, 5] -------------- = ---------- [8, 2, 18] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 5, 11] [1, 2, 11, 10] [1, 2, 10] -------------- = ---------- [8, 5, 11] [8, 5] denominator=, [8, 5, 15] [18, 15, 14] [18, 14] ------------ = -------- [8, 5, 15] [8, 5] [1, 19, 15, 12] [1, 19, 12] --------------- = ----------- [8, 5, 15] [8, 5] [3, 0, 15, 10] [3, 0, 10] -------------- = ---------- [8, 5, 15] [8, 5] [4, 1, 15, 8] [4, 1, 8] ------------- = --------- [8, 5, 15] [8, 5] [5, 2, 15, 6] [5, 2, 6] ------------- = --------- [8, 5, 15] [8, 5] [6, 3, 15, 4] [6, 3, 4] ------------- = --------- [8, 5, 15] [8, 5] [7, 4, 15, 2] [7, 4, 2] ------------- = --------- [8, 5, 15] [8, 5] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 8, 18] [3, 1, 18, 12] [3, 1, 12] -------------- = ---------- [8, 8, 18] [8, 8] denominator=, [8, 9, 13] [2, 5, 13, 10] [2, 5, 10] -------------- = ---------- [8, 9, 13] [8, 9] [5, 7, 13, 5] [5, 7, 5] ------------- = --------- [8, 9, 13] [8, 9] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 6] [1, 16, 6, 5] [1, 16, 5] ------------- = ---------- [8, 14, 6] [8, 14] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 15, 7] [2, 16, 7, 5] [2, 16, 5] ------------- = ---------- [8, 15, 7] [8, 15] denominator=, [8, 16, 11] [2, 14, 11, 8] [2, 14, 8] -------------- = ---------- [8, 16, 11] [8, 16] [5, 15, 11, 4] [5, 15, 4] -------------- = ---------- [8, 16, 11] [8, 16] denominator=, [8, 16, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 12, 16, 8] [4, 12, 8] -------------- = ---------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] denominator=, [8, 18, 18] [4, 13, 18, 9] [4, 13, 9] -------------- = ---------- [8, 18, 18] [8, 18] denominator=, [9, 0, 5] [2, 3, 5, 4] [2, 3, 4] ------------ = --------- [9, 0, 5] [9, 0] denominator=, [9, 0, 12] [1, 17, 12, 10] [1, 17, 10] --------------- = ----------- [9, 0, 12] [9, 0] denominator=, [9, 2, 7] [4, 3, 7, 4] [4, 3, 4] ------------ = --------- [9, 2, 7] [9, 2] denominator=, [9, 2, 14] [2, 18, 14, 10] [2, 18, 10] --------------- = ----------- [9, 2, 14] [9, 2] [6, 0, 14, 5] [6, 0, 5] ------------- = --------- [9, 2, 14] [9, 2] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 5, 10] [2, 4, 10, 8] [2, 4, 8] ------------- = --------- [9, 5, 10] [9, 5] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 6, 18] [1, 18, 18, 15] [1, 18, 15] --------------- = ----------- [9, 6, 18] [9, 6] denominator=, [9, 7, 11] [1, 5, 11, 10] [1, 5, 10] -------------- = ---------- [9, 7, 11] [9, 7] [5, 6, 11, 5] [5, 6, 5] ------------- = --------- [9, 7, 11] [9, 7] denominator=, [9, 7, 17] [19, 17, 16] [19, 16] ------------ = -------- [9, 7, 17] [9, 7] [2, 0, 17, 14] [2, 0, 14] -------------- = ---------- [9, 7, 17] [9, 7] [3, 1, 17, 12] [3, 1, 12] -------------- = ---------- [9, 7, 17] [9, 7] [4, 2, 17, 10] [4, 2, 10] -------------- = ---------- [9, 7, 17] [9, 7] [5, 3, 17, 8] [5, 3, 8] ------------- = --------- [9, 7, 17] [9, 7] [6, 4, 17, 6] [6, 4, 6] ------------- = --------- [9, 7, 17] [9, 7] [7, 5, 17, 4] [7, 5, 4] ------------- = --------- [9, 7, 17] [9, 7] [8, 6, 17, 2] [8, 6, 2] ------------- = --------- [9, 7, 17] [9, 7] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 9, 14] [4, 6, 14, 8] [4, 6, 8] ------------- = --------- [9, 9, 14] [9, 9] denominator=, [9, 10, 15] [2, 5, 15, 12] [2, 5, 12] -------------- = ---------- [9, 10, 15] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 15, 13] [2, 12, 13, 10] [2, 12, 10] --------------- = ----------- [9, 15, 13] [9, 15] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [9, 18, 6] [2, 1, 6, 5] [2, 1, 5] ------------ = --------- [9, 18, 6] [9, 18] denominator=, [9, 18, 18] [1, 10, 18, 16] [1, 10, 16] --------------- = ----------- [9, 18, 18] [9, 18] [2, 11, 18, 14] [2, 11, 14] --------------- = ----------- [9, 18, 18] [9, 18] [3, 12, 18, 12] [3, 12, 12] --------------- = ----------- [9, 18, 18] [9, 18] [4, 13, 18, 10] [4, 13, 10] --------------- = ----------- [9, 18, 18] [9, 18] [5, 14, 18, 8] [5, 14, 8] -------------- = ---------- [9, 18, 18] [9, 18] [6, 15, 18, 6] [6, 15, 6] -------------- = ---------- [9, 18, 18] [9, 18] [7, 16, 18, 4] [7, 16, 4] -------------- = ---------- [9, 18, 18] [9, 18] [8, 17, 18, 2] [8, 17, 2] -------------- = ---------- [9, 18, 18] [9, 18] denominator=, [10, 0, 8] [4, 1, 8, 5] [4, 1, 5] ------------ = --------- [10, 0, 8] [10, 0] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 3, 7] [3, 5, 7, 5] [3, 5, 5] ------------ = --------- [10, 3, 7] [10, 3] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 4, 12] [2, 2, 12, 10] [2, 2, 10] -------------- = ---------- [10, 4, 12] [10, 4] [6, 3, 12, 5] [6, 3, 5] ------------- = --------- [10, 4, 12] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 8, 13] [1, 5, 13, 12] [1, 5, 12] -------------- = ---------- [10, 8, 13] [10, 8] [4, 6, 13, 8] [4, 6, 8] ------------- = --------- [10, 8, 13] [10, 8] [7, 7, 13, 4] [7, 7, 4] ------------- = --------- [10, 8, 13] [10, 8] denominator=, [10, 8, 16] [1, 2, 16, 15] [1, 2, 15] -------------- = ---------- [10, 8, 16] [10, 8] [4, 4, 16, 10] [4, 4, 10] -------------- = ---------- [10, 8, 16] [10, 8] [7, 6, 16, 5] [7, 6, 5] ------------- = --------- [10, 8, 16] [10, 8] denominator=, [10, 9, 11] [1, 8, 11, 10] [1, 8, 10] -------------- = ---------- [10, 9, 11] [10, 9] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 10, 14] [3, 7, 14, 10] [3, 7, 10] -------------- = ---------- [10, 10, 14] [10, 10] denominator=, [10, 10, 18] [2, 3, 18, 15] [2, 3, 15] -------------- = ---------- [10, 10, 18] [10, 10] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 13, 3] [3, 18, 3, 2] [3, 18, 2] ------------- = ---------- [10, 13, 3] [10, 13] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 6] [3, 19, 6, 4] [3, 19, 4] ------------- = ---------- [10, 16, 6] [10, 16] denominator=, [10, 16, 16] [5, 13, 16, 8] [5, 13, 8] -------------- = ---------- [10, 16, 16] [10, 16] denominator=, [10, 17, 7] [2, 0, 7, 6] [2, 0, 6] ------------ = --------- [10, 17, 7] [10, 17] [4, 19, 7, 4] [4, 19, 4] ------------- = ---------- [10, 17, 7] [10, 17] [7, 18, 7, 2] [7, 18, 2] ------------- = ---------- [10, 17, 7] [10, 17] denominator=, [10, 18, 18] [5, 14, 18, 9] [5, 14, 9] -------------- = ---------- [10, 18, 18] [10, 18] denominator=, [10, 19, 9] [4, 0, 9, 6] [4, 0, 6] ------------ = --------- [10, 19, 9] [10, 19] denominator=, [11, 1, 13] [2, 19, 13, 10] [2, 19, 10] --------------- = ----------- [11, 1, 13] [11, 1] [7, 0, 13, 5] [7, 0, 5] ------------- = --------- [11, 1, 13] [11, 1] denominator=, [11, 1, 17] [1, 15, 17, 15] [1, 15, 15] --------------- = ----------- [11, 1, 17] [11, 1] [4, 17, 17, 10] [4, 17, 10] --------------- = ----------- [11, 1, 17] [11, 1] [7, 19, 17, 5] [7, 19, 5] -------------- = ---------- [11, 1, 17] [11, 1] denominator=, [11, 2, 6] [2, 6, 6, 5] [2, 6, 5] ------------ = --------- [11, 2, 6] [11, 2] denominator=, [11, 2, 12] [4, 1, 12, 8] [4, 1, 8] ------------- = --------- [11, 2, 12] [11, 2] denominator=, [11, 4, 14] [2, 1, 14, 12] [2, 1, 12] -------------- = ---------- [11, 4, 14] [11, 4] [5, 2, 14, 8] [5, 2, 8] ------------- = --------- [11, 4, 14] [11, 4] [8, 3, 14, 4] [8, 3, 4] ------------- = --------- [11, 4, 14] [11, 4] denominator=, [11, 5, 9] [5, 6, 9, 5] [5, 6, 5] ------------ = --------- [11, 5, 9] [11, 5] denominator=, [11, 5, 15] [4, 2, 15, 10] [4, 2, 10] -------------- = ---------- [11, 5, 15] [11, 5] denominator=, [11, 8, 12] [2, 7, 12, 10] [2, 7, 10] -------------- = ---------- [11, 8, 12] [11, 8] denominator=, [11, 8, 18] [4, 3, 18, 12] [4, 3, 12] -------------- = ---------- [11, 8, 18] [11, 8] denominator=, [11, 10, 5] [2, 15, 5, 4] [2, 15, 4] ------------- = ---------- [11, 10, 5] [11, 10] denominator=, [11, 11, 7] [3, 14, 7, 5] [3, 14, 5] ------------- = ---------- [11, 11, 7] [11, 11] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 12, 8] [4, 14, 8, 5] [4, 14, 5] ------------- = ---------- [11, 12, 8] [11, 12] denominator=, [11, 14, 9] [1, 16, 9, 8] [1, 16, 8] ------------- = ---------- [11, 14, 9] [11, 14] [6, 15, 9, 4] [6, 15, 4] ------------- = ---------- [11, 14, 9] [11, 14] denominator=, [11, 14, 18] [2, 8, 18, 15] [2, 8, 15] -------------- = ---------- [11, 14, 18] [11, 14] [5, 10, 18, 10] [5, 10, 10] --------------- = ----------- [11, 14, 18] [11, 14] [8, 12, 18, 5] [8, 12, 5] -------------- = ---------- [11, 14, 18] [11, 14] denominator=, [11, 15, 10] [2, 16, 10, 8] [2, 16, 8] -------------- = ---------- [11, 15, 10] [11, 15] denominator=, [11, 18, 14] [3, 16, 14, 10] [3, 16, 10] --------------- = ----------- [11, 18, 14] [11, 18] [7, 17, 14, 5] [7, 17, 5] -------------- = ---------- [11, 18, 14] [11, 18] denominator=, [12, 0, 15] [2, 17, 15, 12] [2, 17, 12] --------------- = ----------- [12, 0, 15] [12, 0] [5, 18, 15, 8] [5, 18, 8] -------------- = ---------- [12, 0, 15] [12, 0] [8, 19, 15, 4] [8, 19, 4] -------------- = ---------- [12, 0, 15] [12, 0] denominator=, [12, 0, 16] [4, 17, 16, 10] [4, 17, 10] --------------- = ----------- [12, 0, 16] [12, 0] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 3, 18] [1, 17, 18, 16] [1, 17, 16] --------------- = ----------- [12, 3, 18] [12, 3] [7, 0, 18, 8] [7, 0, 8] ------------- = --------- [12, 3, 18] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 7, 13] [3, 6, 13, 10] [3, 6, 10] -------------- = ---------- [12, 7, 13] [12, 7] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 7] [5, 15, 7, 4] [5, 15, 4] ------------- = ---------- [12, 12, 7] [12, 12] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 13, 11] [1, 14, 11, 10] [1, 14, 10] --------------- = ----------- [12, 13, 11] [12, 13] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [12, 15, 5] [3, 1, 5, 4] [3, 1, 4] ------------ = --------- [12, 15, 5] [12, 15] [7, 18, 5, 2] [7, 18, 2] ------------- = ---------- [12, 15, 5] [12, 15] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [12, 15, 17] [5, 12, 17, 10] [5, 12, 10] --------------- = ----------- [12, 15, 17] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [6, 14, 16, 8] [6, 14, 8] -------------- = ---------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [12, 18, 18] [2, 13, 18, 15] [2, 13, 15] --------------- = ----------- [12, 18, 18] [12, 18] [4, 14, 18, 12] [4, 14, 12] --------------- = ----------- [12, 18, 18] [12, 18] [6, 15, 18, 9] [6, 15, 9] -------------- = ---------- [12, 18, 18] [12, 18] [8, 16, 18, 6] [8, 16, 6] -------------- = ---------- [12, 18, 18] [12, 18] [10, 17, 18, 3] [10, 17, 3] --------------- = ----------- [12, 18, 18] [12, 18] denominator=, [12, 19, 7] [4, 3, 7, 5] [4, 3, 5] ------------ = --------- [12, 19, 7] [12, 19] denominator=, [12, 19, 14] [5, 18, 14, 8] [5, 18, 8] -------------- = ---------- [12, 19, 14] [12, 19] denominator=, [13, 0, 10] [3, 2, 10, 8] [3, 2, 8] ------------- = --------- [13, 0, 10] [13, 0] [8, 1, 10, 4] [8, 1, 4] ------------- = --------- [13, 0, 10] [13, 0] denominator=, [13, 1, 9] [6, 3, 9, 5] [6, 3, 5] ------------ = --------- [13, 1, 9] [13, 1] denominator=, [13, 4, 8] [5, 7, 8, 5] [5, 7, 5] ------------ = --------- [13, 4, 8] [13, 4] denominator=, [13, 5, 15] [3, 3, 15, 12] [3, 3, 12] -------------- = ---------- [13, 5, 15] [13, 5] [8, 4, 15, 6] [8, 4, 6] ------------- = --------- [13, 5, 15] [13, 5] denominator=, [13, 6, 14] [4, 5, 14, 10] [4, 5, 10] -------------- = ---------- [13, 6, 14] [13, 6] denominator=, [13, 10, 6] [2, 16, 6, 5] [2, 16, 5] ------------- = ---------- [13, 10, 6] [13, 10] denominator=, [13, 10, 18] [6, 7, 18, 10] [6, 7, 10] -------------- = ---------- [13, 10, 18] [13, 10] denominator=, [13, 12, 16] [1, 9, 16, 15] [1, 9, 15] -------------- = ---------- [13, 12, 16] [13, 12] [5, 10, 16, 10] [5, 10, 10] --------------- = ----------- [13, 12, 16] [13, 12] [9, 11, 16, 5] [9, 11, 5] -------------- = ---------- [13, 12, 16] [13, 12] denominator=, [13, 12, 17] [1, 8, 17, 16] [1, 8, 16] -------------- = ---------- [13, 12, 17] [13, 12] [4, 9, 17, 12] [4, 9, 12] -------------- = ---------- [13, 12, 17] [13, 12] [7, 10, 17, 8] [7, 10, 8] -------------- = ---------- [13, 12, 17] [13, 12] [10, 11, 17, 4] [10, 11, 4] --------------- = ----------- [13, 12, 17] [13, 12] denominator=, [13, 13, 3] [5, 0, 3, 2] [5, 0, 2] ------------ = --------- [13, 13, 3] [13, 13] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 15, 11] [1, 17, 11, 10] [1, 17, 10] --------------- = ----------- [13, 15, 11] [13, 15] [7, 16, 11, 5] [7, 16, 5] -------------- = ---------- [13, 15, 11] [13, 15] denominator=, [13, 16, 6] [5, 1, 6, 4] [5, 1, 4] ------------ = --------- [13, 16, 6] [13, 16] denominator=, [13, 16, 12] [2, 17, 12, 10] [2, 17, 10] --------------- = ----------- [13, 16, 12] [13, 16] denominator=, [13, 19, 9] [2, 3, 9, 8] [2, 3, 8] ------------ = --------- [13, 19, 9] [13, 19] [5, 2, 9, 6] [5, 2, 6] ------------ = --------- [13, 19, 9] [13, 19] [8, 1, 9, 4] [8, 1, 4] ------------ = --------- [13, 19, 9] [13, 19] [11, 0, 9, 2] [11, 0, 2] ------------- = ---------- [13, 19, 9] [13, 19] denominator=, [14, 0, 5] [3, 7, 5, 4] [3, 7, 4] ------------ = --------- [14, 0, 5] [14, 0] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 2, 12] [5, 3, 12, 8] [5, 3, 8] ------------- = --------- [14, 2, 12] [14, 2] denominator=, [14, 2, 18] [2, 18, 18, 15] [2, 18, 15] --------------- = ----------- [14, 2, 18] [14, 2] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 5, 10] [3, 8, 10, 8] [3, 8, 8] ------------- = --------- [14, 5, 10] [14, 5] denominator=, [14, 5, 15] [5, 4, 15, 10] [5, 4, 10] -------------- = ---------- [14, 5, 15] [14, 5] denominator=, [14, 6, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 6, 11] [4, 8, 11, 8] [4, 8, 8] ------------- = --------- [14, 6, 11] [14, 6] [9, 7, 11, 4] [9, 7, 4] ------------- = --------- [14, 6, 11] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 8, 18] [2, 4, 18, 16] [2, 4, 16] -------------- = ---------- [14, 8, 18] [14, 8] [5, 5, 18, 12] [5, 5, 12] -------------- = ---------- [14, 8, 18] [14, 8] [8, 6, 18, 8] [8, 6, 8] ------------- = --------- [14, 8, 18] [14, 8] [11, 7, 18, 4] [11, 7, 4] -------------- = ---------- [14, 8, 18] [14, 8] denominator=, [14, 9, 17] [2, 6, 17, 15] [2, 6, 15] -------------- = ---------- [14, 9, 17] [14, 9] [6, 7, 17, 10] [6, 7, 10] -------------- = ---------- [14, 9, 17] [14, 9] [10, 8, 17, 5] [10, 8, 5] -------------- = ---------- [14, 9, 17] [14, 9] denominator=, [14, 10, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 10, 15] [3, 9, 15, 12] [3, 9, 12] -------------- = ---------- [14, 10, 15] [14, 10] denominator=, [14, 12, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 6] [3, 1, 6, 5] [3, 1, 5] ------------ = --------- [14, 14, 6] [14, 14] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 8] [6, 0, 8, 5] [6, 0, 5] ------------ = --------- [14, 16, 8] [14, 16] denominator=, [14, 16, 16] [7, 15, 16, 8] [7, 15, 8] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [14, 17, 9] [7, 0, 9, 5] [7, 0, 5] ------------ = --------- [14, 17, 9] [14, 17] denominator=, [14, 17, 11] [2, 0, 11, 10] [2, 0, 10] -------------- = ---------- [14, 17, 11] [14, 17] denominator=, [14, 18, 18] [7, 16, 18, 9] [7, 16, 9] -------------- = ---------- [14, 18, 18] [14, 18] denominator=, [14, 19, 13] [4, 0, 13, 10] [4, 0, 10] -------------- = ---------- [14, 19, 13] [14, 19] denominator=, [15, 0, 12] [3, 2, 12, 10] [3, 2, 10] -------------- = ---------- [15, 0, 12] [15, 0] [9, 1, 12, 5] [9, 1, 5] ------------- = --------- [15, 0, 12] [15, 0] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 4, 16] [6, 3, 16, 10] [6, 3, 10] -------------- = ---------- [15, 4, 16] [15, 4] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] denominator=, [15, 6, 18] [3, 3, 18, 15] [3, 3, 15] -------------- = ---------- [15, 6, 18] [15, 6] [7, 4, 18, 10] [7, 4, 10] -------------- = ---------- [15, 6, 18] [15, 6] [11, 5, 18, 5] [11, 5, 5] -------------- = ---------- [15, 6, 18] [15, 6] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] denominator=, [15, 12, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] denominator=, [15, 15, 7] [5, 1, 7, 5] [5, 1, 5] ------------ = --------- [15, 15, 7] [15, 15] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 18, 6] [3, 6, 6, 5] [3, 6, 5] ------------ = --------- [15, 18, 6] [15, 18] denominator=, [15, 18, 18] [5, 16, 18, 12] [5, 16, 12] --------------- = ----------- [15, 18, 18] [15, 18] [10, 17, 18, 6] [10, 17, 6] --------------- = ----------- [15, 18, 18] [15, 18] denominator=, [15, 19, 11] [2, 3, 11, 10] [2, 3, 10] -------------- = ---------- [15, 19, 11] [15, 19] [9, 1, 11, 5] [9, 1, 5] ------------- = --------- [15, 19, 11] [15, 19] denominator=, [16, 2, 2] [8, 9, 2, 1] [8, 9, 1] ------------ = --------- [16, 2, 2] [16, 2] denominator=, [16, 2, 7] [7, 7, 7, 4] [7, 7, 4] ------------ = --------- [16, 2, 7] [16, 2] denominator=, [16, 2, 14] [5, 3, 14, 10] [5, 3, 10] -------------- = ---------- [16, 2, 14] [16, 2] denominator=, [16, 3, 17] [7, 2, 17, 10] [7, 2, 10] -------------- = ---------- [16, 3, 17] [16, 3] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [8, 10, 4, 2] [8, 10, 2] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 4, 9] [2, 10, 9, 8] [2, 10, 8] ------------- = ---------- [16, 4, 9] [16, 4] [9, 7, 9, 4] [9, 7, 4] ------------ = --------- [16, 4, 9] [16, 4] denominator=, [16, 4, 12] [3, 7, 12, 10] [3, 7, 10] -------------- = ---------- [16, 4, 12] [16, 4] denominator=, [16, 5, 13] [4, 7, 13, 10] [4, 7, 10] -------------- = ---------- [16, 5, 13] [16, 5] [10, 6, 13, 5] [10, 6, 5] -------------- = ---------- [16, 5, 13] [16, 5] denominator=, [16, 6, 6] [8, 11, 6, 3] [8, 11, 3] ------------- = ---------- [16, 6, 6] [16, 6] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [8, 12, 8, 4] [8, 12, 4] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 9, 14] [7, 10, 14, 8] [7, 10, 8] -------------- = ---------- [16, 9, 14] [16, 9] denominator=, [16, 10, 5] [3, 19, 5, 4] [3, 19, 4] ------------- = ---------- [16, 10, 5] [16, 10] denominator=, [16, 10, 10] [8, 13, 10, 5] [8, 13, 5] -------------- = ---------- [16, 10, 10] [16, 10] denominator=, [16, 10, 18] [3, 8, 18, 15] [3, 8, 15] -------------- = ---------- [16, 10, 18] [16, 10] denominator=, [16, 12, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [8, 14, 12, 6] [8, 14, 6] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] denominator=, [16, 13, 3] [6, 2, 3, 2] [6, 2, 2] ------------ = --------- [16, 13, 3] [16, 13] denominator=, [16, 13, 9] [7, 17, 9, 5] [7, 17, 5] ------------- = ---------- [16, 13, 9] [16, 13] denominator=, [16, 13, 18] [2, 11, 18, 16] [2, 11, 16] --------------- = ----------- [16, 13, 18] [16, 13] [9, 12, 18, 8] [9, 12, 8] -------------- = ---------- [16, 13, 18] [16, 13] denominator=, [16, 14, 14] [8, 15, 14, 7] [8, 15, 7] -------------- = ---------- [16, 14, 14] [16, 14] denominator=, [16, 15, 10] [4, 0, 10, 8] [4, 0, 8] ------------- = --------- [16, 15, 10] [16, 15] denominator=, [16, 16, 6] [6, 3, 6, 4] [6, 3, 4] ------------ = --------- [16, 16, 6] [16, 16] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [16, 18, 13] [2, 1, 13, 12] [2, 1, 12] -------------- = ---------- [16, 18, 13] [16, 18] [7, 0, 13, 8] [7, 0, 8] ------------- = --------- [16, 18, 13] [16, 18] [11, 19, 13, 4] [11, 19, 4] --------------- = ----------- [16, 18, 13] [16, 18] denominator=, [16, 18, 18] [8, 17, 18, 9] [8, 17, 9] -------------- = ---------- [16, 18, 18] [16, 18] denominator=, [16, 19, 9] [6, 4, 9, 6] [6, 4, 6] ------------ = --------- [16, 19, 9] [16, 19] denominator=, [17, 0, 15] [4, 1, 15, 12] [4, 1, 12] -------------- = ---------- [17, 0, 15] [17, 0] denominator=, [17, 1, 11] [2, 6, 11, 10] [2, 6, 10] -------------- = ---------- [17, 1, 11] [17, 1] [5, 5, 11, 8] [5, 5, 8] ------------- = --------- [17, 1, 11] [17, 1] [8, 4, 11, 6] [8, 4, 6] ------------- = --------- [17, 1, 11] [17, 1] [11, 3, 11, 4] [11, 3, 4] -------------- = ---------- [17, 1, 11] [17, 1] [14, 2, 11, 2] [14, 2, 2] -------------- = ---------- [17, 1, 11] [17, 1] denominator=, [17, 2, 6] [3, 11, 6, 5] [3, 11, 5] ------------- = ---------- [17, 2, 6] [17, 2] denominator=, [17, 2, 12] [6, 5, 12, 8] [6, 5, 8] ------------- = --------- [17, 2, 12] [17, 2] denominator=, [17, 2, 18] [8, 1, 18, 10] [8, 1, 10] -------------- = ---------- [17, 2, 18] [17, 2] denominator=, [17, 3, 7] [5, 10, 7, 5] [5, 10, 5] ------------- = ---------- [17, 3, 7] [17, 3] denominator=, [17, 5, 15] [6, 6, 15, 10] [6, 6, 10] -------------- = ---------- [17, 5, 15] [17, 5] denominator=, [17, 8, 12] [3, 12, 12, 10] [3, 12, 10] --------------- = ----------- [17, 8, 12] [17, 8] [10, 10, 12, 5] [10, 10, 5] --------------- = ----------- [17, 8, 12] [17, 8] denominator=, [17, 8, 18] [6, 7, 18, 12] [6, 7, 12] -------------- = ---------- [17, 8, 18] [17, 8] denominator=, [17, 10, 14] [5, 12, 14, 10] [5, 12, 10] --------------- = ----------- [17, 10, 14] [17, 10] [11, 11, 14, 5] [11, 11, 5] --------------- = ----------- [17, 10, 14] [17, 10] denominator=, [17, 11, 13] [4, 14, 13, 10] [4, 14, 10] --------------- = ----------- [17, 11, 13] [17, 11] denominator=, [17, 14, 18] [3, 13, 18, 15] [3, 13, 15] --------------- = ----------- [17, 14, 18] [17, 14] denominator=, [17, 15, 5] [4, 5, 5, 4] [4, 5, 4] ------------ = --------- [17, 15, 5] [17, 15] [11, 0, 5, 2] [11, 0, 2] ------------- = ---------- [17, 15, 5] [17, 15] denominator=, [17, 17, 7] [3, 6, 7, 6] [3, 6, 6] ------------ = --------- [17, 17, 7] [17, 17] [8, 3, 7, 4] [8, 3, 4] ------------ = --------- [17, 17, 7] [17, 17] [13, 0, 7, 2] [13, 0, 2] ------------- = ---------- [17, 17, 7] [17, 17] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [18, 0, 8] [7, 6, 8, 5] [7, 6, 5] ------------ = --------- [18, 0, 8] [18, 0] denominator=, [18, 0, 10] [4, 6, 10, 8] [4, 6, 8] ------------- = --------- [18, 0, 10] [18, 0] [11, 3, 10, 4] [11, 3, 4] -------------- = ---------- [18, 0, 10] [18, 0] denominator=, [18, 2, 2] [9, 10, 2, 1] [9, 10, 1] ------------- = ---------- [18, 2, 2] [18, 2] denominator=, [18, 3, 3] [6, 13, 3, 2] [6, 13, 2] ------------- = ---------- [18, 3, 3] [18, 3] [12, 8, 3, 1] [12, 8, 1] ------------- = ---------- [18, 3, 3] [18, 3] denominator=, [18, 3, 11] [2, 9, 11, 10] [2, 9, 10] -------------- = ---------- [18, 3, 11] [18, 3] [10, 6, 11, 5] [10, 6, 5] -------------- = ---------- [18, 3, 11] [18, 3] denominator=, [18, 4, 4] [9, 11, 4, 2] [9, 11, 2] ------------- = ---------- [18, 4, 4] [18, 4] denominator=, [18, 4, 14] [3, 7, 14, 12] [3, 7, 12] -------------- = ---------- [18, 4, 14] [18, 4] [8, 6, 14, 8] [8, 6, 8] ------------- = --------- [18, 4, 14] [18, 4] [13, 5, 14, 4] [13, 5, 4] -------------- = ---------- [18, 4, 14] [18, 4] denominator=, [18, 5, 15] [4, 7, 15, 12] [4, 7, 12] -------------- = ---------- [18, 5, 15] [18, 5] [11, 6, 15, 6] [11, 6, 6] -------------- = ---------- [18, 5, 15] [18, 5] denominator=, [18, 6, 6] [3, 16, 6, 5] [3, 16, 5] ------------- = ---------- [18, 6, 6] [18, 6] [6, 14, 6, 4] [6, 14, 4] ------------- = ---------- [18, 6, 6] [18, 6] [9, 12, 6, 3] [9, 12, 3] ------------- = ---------- [18, 6, 6] [18, 6] [12, 10, 6, 2] [12, 10, 2] -------------- = ----------- [18, 6, 6] [18, 6] [15, 8, 6, 1] [15, 8, 1] ------------- = ---------- [18, 6, 6] [18, 6] denominator=, [18, 8, 8] [9, 13, 8, 4] [9, 13, 4] ------------- = ---------- [18, 8, 8] [18, 8] denominator=, [18, 8, 16] [7, 9, 16, 10] [7, 9, 10] -------------- = ---------- [18, 8, 16] [18, 8] denominator=, [18, 9, 9] [2, 17, 9, 8] [2, 17, 8] ------------- = ---------- [18, 9, 9] [18, 9] [4, 16, 9, 7] [4, 16, 7] ------------- = ---------- [18, 9, 9] [18, 9] [6, 15, 9, 6] [6, 15, 6] ------------- = ---------- [18, 9, 9] [18, 9] [8, 14, 9, 5] [8, 14, 5] ------------- = ---------- [18, 9, 9] [18, 9] [10, 13, 9, 4] [10, 13, 4] -------------- = ----------- [18, 9, 9] [18, 9] [12, 12, 9, 3] [12, 12, 3] -------------- = ----------- [18, 9, 9] [18, 9] [14, 11, 9, 2] [14, 11, 2] -------------- = ----------- [18, 9, 9] [18, 9] [16, 10, 9, 1] [16, 10, 1] -------------- = ----------- [18, 9, 9] [18, 9] denominator=, [18, 10, 10] [9, 14, 10, 5] [9, 14, 5] -------------- = ---------- [18, 10, 10] [18, 10] denominator=, [18, 11, 7] [5, 19, 7, 5] [5, 19, 5] ------------- = ---------- [18, 11, 7] [18, 11] denominator=, [18, 12, 12] [3, 17, 12, 10] [3, 17, 10] --------------- = ----------- [18, 12, 12] [18, 12] [6, 16, 12, 8] [6, 16, 8] -------------- = ---------- [18, 12, 12] [18, 12] [9, 15, 12, 6] [9, 15, 6] -------------- = ---------- [18, 12, 12] [18, 12] [12, 14, 12, 4] [12, 14, 4] --------------- = ----------- [18, 12, 12] [18, 12] [15, 13, 12, 2] [15, 13, 2] --------------- = ----------- [18, 12, 12] [18, 12] denominator=, [18, 14, 14] [9, 16, 14, 7] [9, 16, 7] -------------- = ---------- [18, 14, 14] [18, 14] denominator=, [18, 15, 15] [6, 17, 15, 10] [6, 17, 10] --------------- = ----------- [18, 15, 15] [18, 15] [12, 16, 15, 5] [12, 16, 5] --------------- = ----------- [18, 15, 15] [18, 15] denominator=, [18, 16, 16] [9, 17, 16, 8] [9, 17, 8] -------------- = ---------- [18, 16, 16] [18, 16] denominator=, [18, 17, 13] [5, 1, 13, 10] [5, 1, 10] -------------- = ---------- [18, 17, 13] [18, 17] [11, 19, 13, 5] [11, 19, 5] --------------- = ----------- [18, 17, 13] [18, 17] denominator=, [18, 18, 14] [6, 1, 14, 10] [6, 1, 10] -------------- = ---------- [18, 18, 14] [18, 18] denominator=, [18, 18, 18] [1, 18, 18, 17] [1, 18, 17] --------------- = ----------- [18, 18, 18] [18, 18] [2, 18, 18, 16] [2, 18, 16] --------------- = ----------- [18, 18, 18] [18, 18] [3, 18, 18, 15] [3, 18, 15] --------------- = ----------- [18, 18, 18] [18, 18] [4, 18, 18, 14] [4, 18, 14] --------------- = ----------- [18, 18, 18] [18, 18] [5, 18, 18, 13] [5, 18, 13] --------------- = ----------- [18, 18, 18] [18, 18] [6, 18, 18, 12] [6, 18, 12] --------------- = ----------- [18, 18, 18] [18, 18] [7, 18, 18, 11] [7, 18, 11] --------------- = ----------- [18, 18, 18] [18, 18] [8, 18, 18, 10] [8, 18, 10] --------------- = ----------- [18, 18, 18] [18, 18] [9, 18, 18, 9] [9, 18, 9] -------------- = ---------- [18, 18, 18] [18, 18] [10, 18, 18, 8] [10, 18, 8] --------------- = ----------- [18, 18, 18] [18, 18] [11, 18, 18, 7] [11, 18, 7] --------------- = ----------- [18, 18, 18] [18, 18] [12, 18, 18, 6] [12, 18, 6] --------------- = ----------- [18, 18, 18] [18, 18] [13, 18, 18, 5] [13, 18, 5] --------------- = ----------- [18, 18, 18] [18, 18] [14, 18, 18, 4] [14, 18, 4] --------------- = ----------- [18, 18, 18] [18, 18] [15, 18, 18, 3] [15, 18, 3] --------------- = ----------- [18, 18, 18] [18, 18] [16, 18, 18, 2] [16, 18, 2] --------------- = ----------- [18, 18, 18] [18, 18] [17, 18, 18, 1] [17, 18, 1] --------------- = ----------- [18, 18, 18] [18, 18] denominator=, [19, 0, 5] [4, 11, 5, 4] [4, 11, 4] ------------- = ---------- [19, 0, 5] [19, 0] denominator=, [19, 5, 10] [4, 12, 10, 8] [4, 12, 8] -------------- = ---------- [19, 5, 10] [19, 5] denominator=, [19, 5, 11] [2, 12, 11, 10] [2, 12, 10] --------------- = ----------- [19, 5, 11] [19, 5] denominator=, [19, 10, 6] [4, 1, 6, 5] [4, 1, 5] ------------ = --------- [19, 10, 6] [19, 10] denominator=, [19, 10, 15] [4, 13, 15, 12] [4, 13, 12] --------------- = ----------- [19, 10, 15] [19, 10] [9, 12, 15, 8] [9, 12, 8] -------------- = ---------- [19, 10, 15] [19, 10] [14, 11, 15, 4] [14, 11, 4] --------------- = ----------- [19, 10, 15] [19, 10] denominator=, [19, 11, 17] [8, 12, 17, 10] [8, 12, 10] --------------- = ----------- [19, 11, 17] [19, 11] denominator=, [19, 12, 7] [8, 19, 7, 4] [8, 19, 4] ------------- = ---------- [19, 12, 7] [19, 12] denominator=, [19, 12, 8] [7, 19, 8, 5] [7, 19, 5] ------------- = ---------- [19, 12, 8] [19, 12] denominator=, [19, 13, 3] [7, 4, 3, 2] [7, 4, 2] ------------ = --------- [19, 13, 3] [19, 13] denominator=, [19, 16, 6] [7, 5, 6, 4] [7, 5, 4] ------------ = --------- [19, 16, 6] [19, 16] denominator=, [19, 16, 11] [6, 2, 11, 8] [6, 2, 8] ------------- = --------- [19, 16, 11] [19, 16] [12, 19, 11, 4] [12, 19, 4] --------------- = ----------- [19, 16, 11] [19, 16] denominator=, [19, 16, 12] [4, 2, 12, 10] [4, 2, 10] -------------- = ---------- [19, 16, 12] [19, 16] [11, 19, 12, 5] [11, 19, 5] --------------- = ----------- [19, 16, 12] [19, 16] denominator=, [19, 19, 7] [6, 8, 7, 5] [6, 8, 5] ------------ = --------- [19, 19, 7] [19, 19] denominator=, [19, 19, 9] [7, 6, 9, 6] [7, 6, 6] ------------ = --------- [19, 19, 9] [19, 19] denominator=, [19, 19, 14] [9, 2, 14, 8] [9, 2, 8] ------------- = --------- [19, 19, 14] [19, 19] ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator=, [1, 0, 4] [2, 4, 3, 15] [2, 3, 15] ------------- = ---------- [1, 0, 4] [1, 0] [8, 4, 2, 10] [8, 2, 10] ------------- = ---------- [1, 0, 4] [1, 0] [14, 4, 1, 5] [14, 1, 5] ------------- = ---------- [1, 0, 4] [1, 0] denominator=, [1, 1, 9] [4, 9, 7, 10] [4, 7, 10] ------------- = ---------- [1, 1, 9] [1, 1] denominator=, [1, 6, 18] [10, 18, 11, 5] [10, 11, 5] --------------- = ----------- [1, 6, 18] [1, 6] denominator=, [1, 7, 12] [13, 12, 6, 8] [13, 6, 8] -------------- = ---------- [1, 7, 12] [1, 7] [1, 0, 12, 3, 4] [1, 0, 3, 4] ---------------- = ------------ [1, 7, 12] [1, 7] denominator=, [1, 7, 15] [5, 15, 12, 10] [5, 12, 10] --------------- = ----------- [1, 7, 15] [1, 7] [16, 15, 6, 5] [16, 6, 5] -------------- = ---------- [1, 7, 15] [1, 7] denominator=, [1, 8, 12] [11, 12, 7, 10] [11, 7, 10] --------------- = ----------- [1, 8, 12] [1, 8] denominator=, [1, 10, 6] [6, 6, 5] [6, 5] ---------- = ------- [1, 10, 6] [1, 10] [6, 6, 5, 0] [6, 5, 0] ------------ = --------- [1, 10, 6] [1, 10] [12, 6, 3, 15] [12, 3, 15] -------------- = ----------- [1, 10, 6] [1, 10] [18, 6, 2, 10] [18, 2, 10] -------------- = ----------- [1, 10, 6] [1, 10] [1, 4, 6, 1, 5] [1, 4, 1, 5] --------------- = ------------ [1, 10, 6] [1, 10] denominator=, [1, 13, 3] [12, 3, 2, 0] [12, 2, 0] ------------- = ---------- [1, 13, 3] [1, 13] denominator=, [1, 13, 11] [4, 11, 10, 0] [4, 10, 0] -------------- = ---------- [1, 13, 11] [1, 13] denominator=, [1, 15, 7] [5, 7, 6, 5] [5, 6, 5] ------------ = --------- [1, 15, 7] [1, 15] [11, 7, 5, 0] [11, 5, 0] ------------- = ---------- [1, 15, 7] [1, 15] [17, 7, 3, 15] [17, 3, 15] -------------- = ----------- [1, 15, 7] [1, 15] [1, 3, 7, 2, 10] [1, 3, 2, 10] ---------------- = ------------- [1, 15, 7] [1, 15] [1, 9, 7, 1, 5] [1, 9, 1, 5] --------------- = ------------ [1, 15, 7] [1, 15] denominator=, [1, 16, 6] [13, 6, 4, 0] [13, 4, 0] ------------- = ---------- [1, 16, 6] [1, 16] denominator=, [1, 16, 12] [7, 12, 10, 0] [7, 10, 0] -------------- = ---------- [1, 16, 12] [1, 16] denominator=, [1, 18, 14] [15, 14, 8, 15] [15, 8, 15] --------------- = ----------- [1, 18, 14] [1, 18] denominator=, [1, 19, 3] [8, 3, 2, 10] [8, 2, 10] ------------- = ---------- [1, 19, 3] [1, 19] denominator=, [1, 19, 9] [4, 9, 8, 8] [4, 8, 8] ------------ = --------- [1, 19, 9] [1, 19] [14, 9, 6, 0] [14, 6, 0] ------------- = ---------- [1, 19, 9] [1, 19] [19, 9, 4, 16] [19, 4, 16] -------------- = ----------- [1, 19, 9] [1, 19] [1, 9, 9, 2, 8] [1, 9, 2, 8] --------------- = ------------ [1, 19, 9] [1, 19] [1, 14, 9, 1, 4] [1, 14, 1, 4] ---------------- = ------------- [1, 19, 9] [1, 19] denominator=, [1, 19, 13] [10, 13, 10, 0] [10, 10, 0] --------------- = ----------- [1, 19, 13] [1, 19] denominator=, [2, 0, 8] [4, 8, 7, 10] [4, 7, 10] ------------- = ---------- [2, 0, 8] [2, 0] [10, 8, 6, 5] [10, 6, 5] ------------- = ---------- [2, 0, 8] [2, 0] [16, 8, 5, 0] [16, 5, 0] ------------- = ---------- [2, 0, 8] [2, 0] [1, 2, 8, 3, 15] [1, 2, 3, 15] ---------------- = ------------- [2, 0, 8] [2, 0] [1, 8, 8, 2, 10] [1, 8, 2, 10] ---------------- = ------------- [2, 0, 8] [2, 0] [1, 14, 8, 1, 5] [1, 14, 1, 5] ---------------- = ------------- [2, 0, 8] [2, 0] denominator=, [2, 2, 7] [19, 7, 4, 0] [19, 4, 0] ------------- = ---------- [2, 2, 7] [2, 2] denominator=, [2, 2, 12] [15, 12, 8, 0] [15, 8, 0] -------------- = ---------- [2, 2, 12] [2, 2] denominator=, [2, 2, 14] [13, 14, 10, 0] [13, 10, 0] --------------- = ----------- [2, 2, 14] [2, 2] denominator=, [2, 2, 18] [8, 18, 15, 0] [8, 15, 0] -------------- = ---------- [2, 2, 18] [2, 2] [1, 5, 18, 7, 10] [1, 5, 7, 10] ----------------- = ------------- [2, 2, 18] [2, 2] denominator=, [2, 5, 9] [3, 9, 8, 15] [3, 8, 15] ------------- = ---------- [2, 5, 9] [2, 5] [9, 9, 7, 10] [9, 7, 10] ------------- = ---------- [2, 5, 9] [2, 5] [15, 9, 6, 5] [15, 6, 5] ------------- = ---------- [2, 5, 9] [2, 5] [1, 1, 9, 5, 0] [1, 1, 5, 0] --------------- = ------------ [2, 5, 9] [2, 5] [1, 7, 9, 3, 15] [1, 7, 3, 15] ---------------- = ------------- [2, 5, 9] [2, 5] [1, 13, 9, 2, 10] [1, 13, 2, 10] ----------------- = -------------- [2, 5, 9] [2, 5] [1, 19, 9, 1, 5] [1, 19, 1, 5] ---------------- = ------------- [2, 5, 9] [2, 5] denominator=, [2, 5, 15] [16, 15, 10, 0] [16, 10, 0] --------------- = ----------- [2, 5, 15] [2, 5] denominator=, [2, 8, 16] [19, 16, 10, 0] [19, 10, 0] --------------- = ----------- [2, 8, 16] [2, 8] denominator=, [2, 8, 18] [17, 18, 12, 0] [17, 12, 0] --------------- = ----------- [2, 8, 18] [2, 8] denominator=, [2, 9, 14] [1, 2, 14, 8, 0] [1, 2, 8, 0] ---------------- = ------------ [2, 9, 14] [2, 9] denominator=, [2, 10, 10] [8, 10, 8, 15] [8, 8, 15] -------------- = ---------- [2, 10, 10] [2, 10] [1, 0, 10, 6, 5] [1, 0, 6, 5] ---------------- = ------------ [2, 10, 10] [2, 10] [1, 12, 10, 3, 15] [1, 12, 3, 15] ------------------ = -------------- [2, 10, 10] [2, 10] [2, 4, 10, 1, 5] [2, 4, 1, 5] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [2, 11, 6] [1, 5, 6, 3, 4] [1, 5, 3, 4] --------------- = ------------ [2, 11, 6] [2, 11] [1, 18, 6, 1, 12] [1, 18, 1, 12] ----------------- = -------------- [2, 11, 6] [2, 11] denominator=, [2, 11, 15] [10, 15, 12, 10] [10, 12, 10] ---------------- = ------------ [2, 11, 15] [2, 11] denominator=, [2, 11, 17] [1, 2, 17, 10, 0] [1, 2, 10, 0] ----------------- = ------------- [2, 11, 17] [2, 11] denominator=, [2, 12, 4] [1, 1, 4, 2, 10] [1, 1, 2, 10] ---------------- = ------------- [2, 12, 4] [2, 12] denominator=, [2, 14, 6] [11, 6, 5, 0] [11, 5, 0] ------------- = ---------- [2, 14, 6] [2, 14] denominator=, [2, 14, 9] [8, 9, 8, 0] [8, 8, 0] ------------ = --------- [2, 14, 9] [2, 14] [1, 11, 9, 4, 0] [1, 11, 4, 0] ---------------- = ------------- [2, 14, 9] [2, 14] denominator=, [2, 14, 18] [1, 5, 18, 10, 0] [1, 5, 10, 0] ----------------- = ------------- [2, 14, 18] [2, 14] denominator=, [2, 15, 11] [1, 11, 11, 5] [1, 11, 5] -------------- = ---------- [2, 15, 11] [2, 15] [7, 11, 10, 0] [7, 10, 0] -------------- = ---------- [2, 15, 11] [2, 15] [13, 11, 8, 15] [13, 8, 15] --------------- = ----------- [2, 15, 11] [2, 15] [19, 11, 7, 10] [19, 7, 10] --------------- = ----------- [2, 15, 11] [2, 15] [1, 5, 11, 6, 5] [1, 5, 6, 5] ---------------- = ------------ [2, 15, 11] [2, 15] [1, 11, 11, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [2, 15, 11] [2, 15] [1, 17, 11, 3, 15] [1, 17, 3, 15] ------------------ = -------------- [2, 15, 11] [2, 15] [2, 3, 11, 2, 10] [2, 3, 2, 10] ----------------- = ------------- [2, 15, 11] [2, 15] [2, 9, 11, 1, 5] [2, 9, 1, 5] ---------------- = ------------ [2, 15, 11] [2, 15] denominator=, [2, 18, 18] [9, 18, 15, 15] [9, 15, 15] --------------- = ----------- [2, 18, 18] [2, 18] [1, 3, 18, 11, 5] [1, 3, 11, 5] ----------------- = ------------- [2, 18, 18] [2, 18] [1, 17, 18, 6, 15] [1, 17, 6, 15] ------------------ = -------------- [2, 18, 18] [2, 18] [2, 11, 18, 2, 5] [2, 11, 2, 5] ----------------- = ------------- [2, 18, 18] [2, 18] denominator=, [3, 0, 12] [12, 12, 10] [12, 10] ------------ = -------- [3, 0, 12] [3, 0] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [3, 0, 12] [3, 0] [12, 12, 10, 0] [12, 10, 0] --------------- = ----------- [3, 0, 12] [3, 0] [18, 12, 8, 15] [18, 8, 15] --------------- = ----------- [3, 0, 12] [3, 0] [1, 4, 12, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [3, 0, 12] [3, 0] [1, 10, 12, 6, 5] [1, 10, 6, 5] ----------------- = ------------- [3, 0, 12] [3, 0] [1, 16, 12, 5, 0] [1, 16, 5, 0] ----------------- = ------------- [3, 0, 12] [3, 0] [2, 2, 12, 3, 15] [2, 2, 3, 15] ----------------- = ------------- [3, 0, 12] [3, 0] [2, 8, 12, 2, 10] [2, 8, 2, 10] ----------------- = ------------- [3, 0, 12] [3, 0] [2, 14, 12, 1, 5] [2, 14, 1, 5] ----------------- = ------------- [3, 0, 12] [3, 0] denominator=, [3, 2, 6] [1, 5, 6, 3, 15] [1, 5, 3, 15] ---------------- = ------------- [3, 2, 6] [3, 2] denominator=, [3, 3, 7] [1, 0, 7, 5, 0] [1, 0, 5, 0] --------------- = ------------ [3, 3, 7] [3, 3] denominator=, [3, 3, 18] [9, 18, 16, 0] [9, 16, 0] -------------- = ---------- [3, 3, 18] [3, 3] [1, 16, 18, 8, 0] [1, 16, 8, 0] ----------------- = ------------- [3, 3, 18] [3, 3] denominator=, [3, 5, 13] [5, 13, 12, 10] [5, 12, 10] --------------- = ----------- [3, 5, 13] [3, 5] [11, 13, 11, 5] [11, 11, 5] --------------- = ----------- [3, 5, 13] [3, 5] [17, 13, 10, 0] [17, 10, 0] --------------- = ----------- [3, 5, 13] [3, 5] [1, 3, 13, 8, 15] [1, 3, 8, 15] ----------------- = ------------- [3, 5, 13] [3, 5] [1, 9, 13, 7, 10] [1, 9, 7, 10] ----------------- = ------------- [3, 5, 13] [3, 5] [1, 15, 13, 6, 5] [1, 15, 6, 5] ----------------- = ------------- [3, 5, 13] [3, 5] [2, 1, 13, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [3, 5, 13] [3, 5] [2, 7, 13, 3, 15] [2, 7, 3, 15] ----------------- = ------------- [3, 5, 13] [3, 5] [2, 13, 13, 2, 10] [2, 13, 2, 10] ------------------ = -------------- [3, 5, 13] [3, 5] [2, 19, 13, 1, 5] [2, 19, 1, 5] ----------------- = ------------- [3, 5, 13] [3, 5] denominator=, [3, 5, 15] [15, 15, 12] [15, 12] ------------ = -------- [3, 5, 15] [3, 5] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [3, 5, 15] [3, 5] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [3, 5, 15] [3, 5] [1, 0, 15, 10, 16] [1, 0, 10, 16] ------------------ = -------------- [3, 5, 15] [3, 5] [1, 5, 15, 9, 12] [1, 5, 9, 12] ----------------- = ------------- [3, 5, 15] [3, 5] [1, 10, 15, 8, 8] [1, 10, 8, 8] ----------------- = ------------- [3, 5, 15] [3, 5] [1, 15, 15, 7, 4] [1, 15, 7, 4] ----------------- = ------------- [3, 5, 15] [3, 5] [2, 5, 15, 4, 16] [2, 5, 4, 16] ----------------- = ------------- [3, 5, 15] [3, 5] [2, 10, 15, 3, 12] [2, 10, 3, 12] ------------------ = -------------- [3, 5, 15] [3, 5] [2, 15, 15, 2, 8] [2, 15, 2, 8] ----------------- = ------------- [3, 5, 15] [3, 5] [3, 0, 15, 1, 4] [3, 0, 1, 4] ---------------- = ------------ [3, 5, 15] [3, 5] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 6, 11] [1, 0, 11, 8, 0] [1, 0, 8, 0] ---------------- = ------------ [3, 6, 11] [3, 6] [2, 3, 11, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [3, 6, 11] [3, 6] denominator=, [3, 6, 18] [13, 18, 15, 0] [13, 15, 0] --------------- = ----------- [3, 6, 18] [3, 6] denominator=, [3, 9, 9] [14, 9, 7, 10] [14, 7, 10] -------------- = ----------- [3, 9, 9] [3, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 18, 9, 1, 10] [2, 18, 1, 10] ----------------- = -------------- [3, 9, 9] [3, 9] denominator=, [3, 10, 14] [4, 14, 13, 15] [4, 13, 15] --------------- = ----------- [3, 10, 14] [3, 10] [10, 14, 12, 10] [10, 12, 10] ---------------- = ------------ [3, 10, 14] [3, 10] [16, 14, 11, 5] [16, 11, 5] --------------- = ----------- [3, 10, 14] [3, 10] [1, 2, 14, 10, 0] [1, 2, 10, 0] ----------------- = ------------- [3, 10, 14] [3, 10] [1, 8, 14, 8, 15] [1, 8, 8, 15] ----------------- = ------------- [3, 10, 14] [3, 10] [1, 14, 14, 7, 10] [1, 14, 7, 10] ------------------ = -------------- [3, 10, 14] [3, 10] [2, 0, 14, 6, 5] [2, 0, 6, 5] ---------------- = ------------ [3, 10, 14] [3, 10] [2, 6, 14, 5, 0] [2, 6, 5, 0] ---------------- = ------------ [3, 10, 14] [3, 10] [2, 12, 14, 3, 15] [2, 12, 3, 15] ------------------ = -------------- [3, 10, 14] [3, 10] [2, 18, 14, 2, 10] [2, 18, 2, 10] ------------------ = -------------- [3, 10, 14] [3, 10] [3, 4, 14, 1, 5] [3, 4, 1, 5] ---------------- = ------------ [3, 10, 14] [3, 10] denominator=, [3, 12, 8] [1, 9, 8, 5, 0] [1, 9, 5, 0] --------------- = ------------ [3, 12, 8] [3, 12] denominator=, [3, 12, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 14, 2] [1, 10, 2, 1, 5] [1, 10, 1, 5] ---------------- = ------------- [3, 14, 2] [3, 14] denominator=, [3, 15, 15] [9, 15, 13, 15] [9, 13, 15] --------------- = ----------- [3, 15, 15] [3, 15] [15, 15, 12, 10] [15, 12, 10] ---------------- = ------------ [3, 15, 15] [3, 15] [1, 7, 15, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [1, 13, 15, 8, 15] [1, 13, 8, 15] ------------------ = -------------- [3, 15, 15] [3, 15] [2, 5, 15, 6, 5] [2, 5, 6, 5] ---------------- = ------------ [3, 15, 15] [3, 15] [2, 11, 15, 5, 0] [2, 11, 5, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [3, 3, 15, 2, 10] [3, 3, 2, 10] ----------------- = ------------- [3, 15, 15] [3, 15] [3, 9, 15, 1, 5] [3, 9, 1, 5] ---------------- = ------------ [3, 15, 15] [3, 15] denominator=, [3, 17, 7] [14, 7, 6, 0] [14, 6, 0] ------------- = ---------- [3, 17, 7] [3, 17] [1, 15, 7, 4, 0] [1, 15, 4, 0] ---------------- = ------------- [3, 17, 7] [3, 17] [2, 16, 7, 2, 0] [2, 16, 2, 0] ---------------- = ------------- [3, 17, 7] [3, 17] denominator=, [3, 17, 11] [10, 11, 10, 0] [10, 10, 0] --------------- = ----------- [3, 17, 11] [3, 17] denominator=, [3, 18, 6] [16, 6, 5, 0] [16, 5, 0] ------------- = ---------- [3, 18, 6] [3, 18] [2, 7, 6, 2, 10] [2, 7, 2, 10] ---------------- = ------------- [3, 18, 6] [3, 18] denominator=, [3, 18, 13] [9, 13, 12, 0] [9, 12, 0] -------------- = ---------- [3, 18, 13] [3, 18] [1, 12, 13, 8, 0] [1, 12, 8, 0] ----------------- = ------------- [3, 18, 13] [3, 18] [2, 15, 13, 4, 0] [2, 15, 4, 0] ----------------- = ------------- [3, 18, 13] [3, 18] denominator=, [3, 18, 18] [8, 18, 16, 16] [8, 16, 16] --------------- = ----------- [3, 18, 18] [3, 18] [13, 18, 15, 12] [13, 15, 12] ---------------- = ------------ [3, 18, 18] [3, 18] [1, 3, 18, 13, 4] [1, 3, 13, 4] ----------------- = ------------- [3, 18, 18] [3, 18] [1, 8, 18, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [3, 18, 18] [3, 18] [1, 18, 18, 9, 12] [1, 18, 9, 12] ------------------ = -------------- [3, 18, 18] [3, 18] [2, 3, 18, 8, 8] [2, 3, 8, 8] ---------------- = ------------ [3, 18, 18] [3, 18] [2, 13, 18, 6, 0] [2, 13, 6, 0] ----------------- = ------------- [3, 18, 18] [3, 18] [2, 18, 18, 4, 16] [2, 18, 4, 16] ------------------ = -------------- [3, 18, 18] [3, 18] [3, 8, 18, 2, 8] [3, 8, 2, 8] ---------------- = ------------ [3, 18, 18] [3, 18] [3, 13, 18, 1, 4] [3, 13, 1, 4] ----------------- = ------------- [3, 18, 18] [3, 18] denominator=, [4, 0, 16] [2, 16, 16, 5] [2, 16, 5] -------------- = ---------- [4, 0, 16] [4, 0] [8, 16, 15, 0] [8, 15, 0] -------------- = ---------- [4, 0, 16] [4, 0] [14, 16, 13, 15] [14, 13, 15] ---------------- = ------------ [4, 0, 16] [4, 0] [1, 0, 16, 12, 10] [1, 0, 12, 10] ------------------ = -------------- [4, 0, 16] [4, 0] [1, 6, 16, 11, 5] [1, 6, 11, 5] ----------------- = ------------- [4, 0, 16] [4, 0] [1, 12, 16, 10, 0] [1, 12, 10, 0] ------------------ = -------------- [4, 0, 16] [4, 0] [1, 18, 16, 8, 15] [1, 18, 8, 15] ------------------ = -------------- [4, 0, 16] [4, 0] [2, 4, 16, 7, 10] [2, 4, 7, 10] ----------------- = ------------- [4, 0, 16] [4, 0] [2, 10, 16, 6, 5] [2, 10, 6, 5] ----------------- = ------------- [4, 0, 16] [4, 0] [2, 16, 16, 5, 0] [2, 16, 5, 0] ----------------- = ------------- [4, 0, 16] [4, 0] [3, 2, 16, 3, 15] [3, 2, 3, 15] ----------------- = ------------- [4, 0, 16] [4, 0] [3, 8, 16, 2, 10] [3, 8, 2, 10] ----------------- = ------------- [4, 0, 16] [4, 0] [3, 14, 16, 1, 5] [3, 14, 1, 5] ----------------- = ------------- [4, 0, 16] [4, 0] denominator=, [4, 1, 9] [1, 18, 9, 5, 0] [1, 18, 5, 0] ---------------- = ------------- [4, 1, 9] [4, 1] denominator=, [4, 2, 10] [1, 13, 10, 6, 5] [1, 13, 6, 5] ----------------- = ------------- [4, 2, 10] [4, 2] denominator=, [4, 4, 12] [17, 12, 10, 0] [17, 10, 0] --------------- = ----------- [4, 4, 12] [4, 4] denominator=, [4, 4, 14] [15, 14, 12, 0] [15, 12, 0] --------------- = ----------- [4, 4, 14] [4, 4] [1, 18, 14, 8, 0] [1, 18, 8, 0] ----------------- = ------------- [4, 4, 14] [4, 4] [3, 1, 14, 4, 0] [3, 1, 4, 0] ---------------- = ------------ [4, 4, 14] [4, 4] denominator=, [4, 5, 10] [7, 10, 9, 12] [7, 9, 12] -------------- = ---------- [4, 5, 10] [4, 5] [1, 13, 10, 6, 8] [1, 13, 6, 8] ----------------- = ------------- [4, 5, 10] [4, 5] [2, 6, 10, 4, 16] [2, 6, 4, 16] ----------------- = ------------- [4, 5, 10] [4, 5] [2, 19, 10, 3, 4] [2, 19, 3, 4] ----------------- = ------------- [4, 5, 10] [4, 5] [3, 12, 10, 1, 12] [3, 12, 1, 12] ------------------ = -------------- [4, 5, 10] [4, 5] denominator=, [4, 5, 17] [1, 17, 17, 10] [1, 17, 10] --------------- = ----------- [4, 5, 17] [4, 5] [7, 17, 16, 5] [7, 16, 5] -------------- = ---------- [4, 5, 17] [4, 5] [13, 17, 15, 0] [13, 15, 0] --------------- = ----------- [4, 5, 17] [4, 5] [19, 17, 13, 15] [19, 13, 15] ---------------- = ------------ [4, 5, 17] [4, 5] [1, 5, 17, 12, 10] [1, 5, 12, 10] ------------------ = -------------- [4, 5, 17] [4, 5] [1, 11, 17, 11, 5] [1, 11, 11, 5] ------------------ = -------------- [4, 5, 17] [4, 5] [1, 17, 17, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [4, 5, 17] [4, 5] [2, 3, 17, 8, 15] [2, 3, 8, 15] ----------------- = ------------- [4, 5, 17] [4, 5] [2, 9, 17, 7, 10] [2, 9, 7, 10] ----------------- = ------------- [4, 5, 17] [4, 5] [2, 15, 17, 6, 5] [2, 15, 6, 5] ----------------- = ------------- [4, 5, 17] [4, 5] [3, 1, 17, 5, 0] [3, 1, 5, 0] ---------------- = ------------ [4, 5, 17] [4, 5] [3, 7, 17, 3, 15] [3, 7, 3, 15] ----------------- = ------------- [4, 5, 17] [4, 5] [3, 13, 17, 2, 10] [3, 13, 2, 10] ------------------ = -------------- [4, 5, 17] [4, 5] [3, 19, 17, 1, 5] [3, 19, 1, 5] ----------------- = ------------- [4, 5, 17] [4, 5] denominator=, [4, 7, 3] [18, 3, 2, 10] [18, 2, 10] -------------- = ----------- [4, 7, 3] [4, 7] denominator=, [4, 10, 15] [2, 4, 15, 8, 0] [2, 4, 8, 0] ---------------- = ------------ [4, 10, 15] [4, 10] [3, 7, 15, 4, 0] [3, 7, 4, 0] ---------------- = ------------ [4, 10, 15] [4, 10] denominator=, [4, 10, 18] [18, 18, 15] [18, 15] ------------ = -------- [4, 10, 18] [4, 10] [6, 18, 17, 10] [6, 17, 10] --------------- = ----------- [4, 10, 18] [4, 10] [12, 18, 16, 5] [12, 16, 5] --------------- = ----------- [4, 10, 18] [4, 10] [18, 18, 15, 0] [18, 15, 0] --------------- = ----------- [4, 10, 18] [4, 10] [1, 4, 18, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [4, 10, 18] [4, 10] [1, 10, 18, 12, 10] [1, 10, 12, 10] ------------------- = --------------- [4, 10, 18] [4, 10] [1, 16, 18, 11, 5] [1, 16, 11, 5] ------------------ = -------------- [4, 10, 18] [4, 10] [2, 2, 18, 10, 0] [2, 2, 10, 0] ----------------- = ------------- [4, 10, 18] [4, 10] [2, 8, 18, 8, 15] [2, 8, 8, 15] ----------------- = ------------- [4, 10, 18] [4, 10] [2, 14, 18, 7, 10] [2, 14, 7, 10] ------------------ = -------------- [4, 10, 18] [4, 10] [3, 0, 18, 6, 5] [3, 0, 6, 5] ---------------- = ------------ [4, 10, 18] [4, 10] [3, 6, 18, 5, 0] [3, 6, 5, 0] ---------------- = ------------ [4, 10, 18] [4, 10] [3, 12, 18, 3, 15] [3, 12, 3, 15] ------------------ = -------------- [4, 10, 18] [4, 10] [3, 18, 18, 2, 10] [3, 18, 2, 10] ------------------ = -------------- [4, 10, 18] [4, 10] [4, 4, 18, 1, 5] [4, 4, 1, 5] ---------------- = ------------ [4, 10, 18] [4, 10] denominator=, [4, 11, 7] [1, 9, 7, 5, 0] [1, 9, 5, 0] --------------- = ------------ [4, 11, 7] [4, 11] [3, 0, 7, 2, 10] [3, 0, 2, 10] ---------------- = ------------- [4, 11, 7] [4, 11] denominator=, [4, 11, 13] [1, 4, 13, 10, 0] [1, 4, 10, 0] ----------------- = ------------- [4, 11, 13] [4, 11] denominator=, [4, 12, 12] [15, 12, 10, 10] [15, 10, 10] ---------------- = ------------ [4, 12, 12] [4, 12] [1, 17, 12, 7, 10] [1, 17, 7, 10] ------------------ = -------------- [4, 12, 12] [4, 12] [2, 19, 12, 4, 10] [2, 19, 4, 10] ------------------ = -------------- [4, 12, 12] [4, 12] [4, 1, 12, 1, 10] [4, 1, 1, 10] ----------------- = ------------- [4, 12, 12] [4, 12] denominator=, [4, 13, 3] [1, 14, 3, 2, 0] [1, 14, 2, 0] ---------------- = ------------- [4, 13, 3] [4, 13] denominator=, [4, 13, 9] [19, 9, 7, 10] [19, 7, 10] -------------- = ----------- [4, 13, 9] [4, 13] [2, 16, 9, 3, 15] [2, 16, 3, 15] ----------------- = -------------- [4, 13, 9] [4, 13] denominator=, [4, 14, 6] [1, 18, 6, 3, 15] [1, 18, 3, 15] ----------------- = -------------- [4, 14, 6] [4, 14] denominator=, [4, 16, 6] [1, 15, 6, 4, 0] [1, 15, 4, 0] ---------------- = ------------- [4, 16, 6] [4, 16] denominator=, [4, 18, 14] [1, 11, 14, 10, 0] [1, 11, 10, 0] ------------------ = -------------- [4, 18, 14] [4, 18] denominator=, [4, 19, 9] [15, 9, 8, 0] [15, 8, 0] ------------- = ---------- [4, 19, 9] [4, 19] [1, 16, 9, 6, 0] [1, 16, 6, 0] ---------------- = ------------- [4, 19, 9] [4, 19] [2, 17, 9, 4, 0] [2, 17, 4, 0] ---------------- = ------------- [4, 19, 9] [4, 19] [3, 18, 9, 2, 0] [3, 18, 2, 0] ---------------- = ------------- [4, 19, 9] [4, 19] denominator=, [4, 19, 11] [13, 11, 10, 0] [13, 10, 0] --------------- = ----------- [4, 19, 11] [4, 19] [2, 16, 11, 5, 0] [2, 16, 5, 0] ----------------- = ------------- [4, 19, 11] [4, 19] denominator=, [4, 19, 15] [1, 0, 15, 12, 10] [1, 0, 12, 10] ------------------ = -------------- [4, 19, 15] [4, 19] denominator=, [5, 2, 6] [1, 1, 6, 5, 0] [1, 1, 5, 0] --------------- = ------------ [5, 2, 6] [5, 2] denominator=, [5, 2, 12] [11, 12, 11, 4] [11, 11, 4] --------------- = ----------- [5, 2, 12] [5, 2] [1, 17, 12, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [5, 2, 12] [5, 2] [2, 10, 12, 6, 8] [2, 10, 6, 8] ----------------- = ------------- [5, 2, 12] [5, 2] [3, 16, 12, 3, 4] [3, 16, 3, 4] ----------------- = ------------- [5, 2, 12] [5, 2] [4, 9, 12, 1, 12] [4, 9, 1, 12] ----------------- = ------------- [5, 2, 12] [5, 2] denominator=, [5, 2, 14] [2, 1, 14, 8, 15] [2, 1, 8, 15] ----------------- = ------------- [5, 2, 14] [5, 2] denominator=, [5, 2, 17] [10, 17, 16, 0] [10, 16, 0] --------------- = ----------- [5, 2, 17] [5, 2] [1, 13, 17, 12, 0] [1, 13, 12, 0] ------------------ = -------------- [5, 2, 17] [5, 2] [2, 16, 17, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [5, 2, 17] [5, 2] [3, 19, 17, 4, 0] [3, 19, 4, 0] ----------------- = ------------- [5, 2, 17] [5, 2] denominator=, [5, 4, 8] [11, 8, 7, 10] [11, 7, 10] -------------- = ----------- [5, 4, 8] [5, 4] [2, 2, 8, 5, 0] [2, 2, 5, 0] --------------- = ------------ [5, 4, 8] [5, 4] [3, 13, 8, 2, 10] [3, 13, 2, 10] ----------------- = -------------- [5, 4, 8] [5, 4] denominator=, [5, 5, 15] [1, 18, 15, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [5, 5, 15] [5, 5] denominator=, [5, 6, 2] [2, 3, 2, 1, 5] [2, 3, 1, 5] --------------- = ------------ [5, 6, 2] [5, 6] denominator=, [5, 8, 12] [1, 2, 12, 10, 0] [1, 2, 10, 0] ----------------- = ------------- [5, 8, 12] [5, 8] [3, 5, 12, 5, 0] [3, 5, 5, 0] ---------------- = ------------ [5, 8, 12] [5, 8] denominator=, [5, 8, 18] [16, 18, 16, 0] [16, 16, 0] --------------- = ----------- [5, 8, 18] [5, 8] [1, 19, 18, 12, 0] [1, 19, 12, 0] ------------------ = -------------- [5, 8, 18] [5, 8] [3, 2, 18, 8, 0] [3, 2, 8, 0] ---------------- = ------------ [5, 8, 18] [5, 8] [4, 5, 18, 4, 0] [4, 5, 4, 0] ---------------- = ------------ [5, 8, 18] [5, 8] denominator=, [5, 11, 3] [1, 3, 3, 2, 10] [1, 3, 2, 10] ---------------- = ------------- [5, 11, 3] [5, 11] [3, 7, 3, 1, 5] [3, 7, 1, 5] --------------- = ------------ [5, 11, 3] [5, 11] denominator=, [5, 12, 7] [2, 11, 7, 4, 0] [2, 11, 4, 0] ---------------- = ------------- [5, 12, 7] [5, 12] denominator=, [5, 12, 16] [2, 5, 16, 10, 0] [2, 5, 10, 0] ----------------- = ------------- [5, 12, 16] [5, 12] denominator=, [5, 14, 9] [2, 16, 9, 4, 16] [2, 16, 4, 16] ----------------- = -------------- [5, 14, 9] [5, 14] [4, 5, 9, 2, 8] [4, 5, 2, 8] --------------- = ------------ [5, 14, 9] [5, 14] denominator=, [5, 14, 10] [2, 6, 10, 6, 5] [2, 6, 6, 5] ---------------- = ------------ [5, 14, 10] [5, 14] denominator=, [5, 14, 18] [1, 3, 18, 15, 0] [1, 3, 15, 0] ----------------- = ------------- [5, 14, 18] [5, 14] denominator=, [5, 16, 4] [2, 7, 4, 2, 10] [2, 7, 2, 10] ---------------- = ------------- [5, 16, 4] [5, 16] denominator=, [5, 17, 9] [1, 4, 9, 7, 10] [1, 4, 7, 10] ---------------- = ------------- [5, 17, 9] [5, 17] [2, 15, 9, 5, 0] [2, 15, 5, 0] ---------------- = ------------- [5, 17, 9] [5, 17] [4, 6, 9, 2, 10] [4, 6, 2, 10] ---------------- = ------------- [5, 17, 9] [5, 17] denominator=, [5, 17, 13] [1, 11, 13, 10, 0] [1, 11, 10, 0] ------------------ = -------------- [5, 17, 13] [5, 17] [3, 14, 13, 5, 0] [3, 14, 5, 0] ----------------- = ------------- [5, 17, 13] [5, 17] denominator=, [5, 19, 7] [1, 18, 7, 5, 0] [1, 18, 5, 0] ---------------- = ------------- [5, 19, 7] [5, 19] denominator=, [5, 19, 14] [2, 14, 14, 8] [2, 14, 8] -------------- = ---------- [5, 19, 14] [5, 19] [15, 14, 12, 16] [15, 12, 16] ---------------- = ------------ [5, 19, 14] [5, 19] [2, 1, 14, 9, 12] [2, 1, 9, 12] ----------------- = ------------- [5, 19, 14] [5, 19] [2, 14, 14, 8, 0] [2, 14, 8, 0] ----------------- = ------------- [5, 19, 14] [5, 19] [3, 7, 14, 6, 8] [3, 7, 6, 8] ---------------- = ------------ [5, 19, 14] [5, 19] [4, 0, 14, 4, 16] [4, 0, 4, 16] ----------------- = ------------- [5, 19, 14] [5, 19] [4, 13, 14, 3, 4] [4, 13, 3, 4] ----------------- = ------------- [5, 19, 14] [5, 19] [5, 6, 14, 1, 12] [5, 6, 1, 12] ----------------- = ------------- [5, 19, 14] [5, 19] denominator=, [5, 19, 17] [2, 12, 17, 10, 0] [2, 12, 10, 0] ------------------ = -------------- [5, 19, 17] [5, 19] denominator=, [6, 1, 11] [16, 11, 10, 0] [16, 10, 0] --------------- = ----------- [6, 1, 11] [6, 1] [1, 17, 11, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [6, 1, 11] [6, 1] [2, 18, 11, 6, 0] [2, 18, 6, 0] ----------------- = ------------- [6, 1, 11] [6, 1] [3, 19, 11, 4, 0] [3, 19, 4, 0] ----------------- = ------------- [6, 1, 11] [6, 1] [5, 0, 11, 2, 0] [5, 0, 2, 0] ---------------- = ------------ [6, 1, 11] [6, 1] denominator=, [6, 2, 18] [2, 9, 18, 11, 5] [2, 9, 11, 5] ----------------- = ------------- [6, 2, 18] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 3, 15] [1, 5, 15, 12, 10] [1, 5, 12, 10] ------------------ = -------------- [6, 3, 15] [6, 3] [3, 14, 15, 6, 5] [3, 14, 6, 5] ----------------- = ------------- [6, 3, 15] [6, 3] denominator=, [6, 4, 12] [13, 12, 11, 5] [13, 11, 5] --------------- = ----------- [6, 4, 12] [6, 4] [2, 10, 12, 7, 10] [2, 10, 7, 10] ------------------ = -------------- [6, 4, 12] [6, 4] [4, 7, 12, 3, 15] [4, 7, 3, 15] ----------------- = ------------- [6, 4, 12] [6, 4] denominator=, [6, 6, 14] [2, 0, 14, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [6, 6, 14] [6, 6] [4, 3, 14, 5, 0] [4, 3, 5, 0] ---------------- = ------------ [6, 6, 14] [6, 6] denominator=, [6, 6, 18] [2, 19, 18, 10, 0] [2, 19, 10, 0] ------------------ = -------------- [6, 6, 18] [6, 6] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 12, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] denominator=, [6, 14, 14] [1, 2, 14, 12, 5] [1, 2, 12, 5] ----------------- = ------------- [6, 14, 14] [6, 14] [2, 14, 14, 8, 15] [2, 14, 8, 15] ------------------ = -------------- [6, 14, 14] [6, 14] [4, 6, 14, 5, 5] [4, 6, 5, 5] ---------------- = ------------ [6, 14, 14] [6, 14] [5, 18, 14, 1, 15] [5, 18, 1, 15] ------------------ = -------------- [6, 14, 14] [6, 14] denominator=, [6, 15, 3] [1, 8, 3, 2, 10] [1, 8, 2, 10] ---------------- = ------------- [6, 15, 3] [6, 15] denominator=, [6, 15, 15] [2, 9, 15, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [6, 15, 15] [6, 15] [4, 12, 15, 5, 0] [4, 12, 5, 0] ----------------- = ------------- [6, 15, 15] [6, 15] denominator=, [6, 16, 8] [2, 15, 8, 5, 0] [2, 15, 5, 0] ---------------- = ------------- [6, 16, 8] [6, 16] denominator=, [6, 18, 2] [2, 16, 2, 1, 5] [2, 16, 1, 5] ---------------- = ------------- [6, 18, 2] [6, 18] denominator=, [6, 18, 3] [3, 8, 3, 1, 12] [3, 8, 1, 12] ---------------- = ------------- [6, 18, 3] [6, 18] [5, 3, 3, 0, 16] [5, 3, 0, 16] ---------------- = ------------- [6, 18, 3] [6, 18] denominator=, [6, 18, 18] [17, 18, 16, 10] [17, 16, 10] ---------------- = ------------ [6, 18, 18] [6, 18] [1, 8, 18, 15, 0] [1, 8, 15, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [2, 10, 18, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [6, 18, 18] [6, 18] [3, 1, 18, 10, 10] [3, 1, 10, 10] ------------------ = -------------- [6, 18, 18] [6, 18] [4, 3, 18, 7, 10] [4, 3, 7, 10] ----------------- = ------------- [6, 18, 18] [6, 18] [4, 14, 18, 6, 0] [4, 14, 6, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [5, 16, 18, 3, 0] [5, 16, 3, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [6, 7, 18, 1, 10] [6, 7, 1, 10] ----------------- = ------------- [6, 18, 18] [6, 18] denominator=, [7, 1, 9] [1, 9, 9, 7, 10] [1, 9, 7, 10] ---------------- = ------------- [7, 1, 9] [7, 1] [4, 5, 9, 3, 15] [4, 5, 3, 15] ---------------- = ------------- [7, 1, 9] [7, 1] denominator=, [7, 3, 11] [19, 11, 10, 0] [19, 10, 0] --------------- = ----------- [7, 3, 11] [7, 3] [2, 10, 11, 7, 10] [2, 10, 7, 10] ------------------ = -------------- [7, 3, 11] [7, 3] [4, 1, 11, 5, 0] [4, 1, 5, 0] ---------------- = ------------ [7, 3, 11] [7, 3] [5, 12, 11, 2, 10] [5, 12, 2, 10] ------------------ = -------------- [7, 3, 11] [7, 3] denominator=, [7, 3, 13] [17, 13, 12, 0] [17, 12, 0] --------------- = ----------- [7, 3, 13] [7, 3] [1, 18, 13, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [7, 3, 13] [7, 3] [2, 19, 13, 8, 0] [2, 19, 8, 0] ----------------- = ------------- [7, 3, 13] [7, 3] [4, 0, 13, 6, 0] [4, 0, 6, 0] ---------------- = ------------ [7, 3, 13] [7, 3] [5, 1, 13, 4, 0] [5, 1, 4, 0] ---------------- = ------------ [7, 3, 13] [7, 3] [6, 2, 13, 2, 0] [6, 2, 2, 0] ---------------- = ------------ [7, 3, 13] [7, 3] denominator=, [7, 4, 9] [1, 2, 9, 8, 0] [1, 2, 8, 0] --------------- = ------------ [7, 4, 9] [7, 4] [4, 3, 9, 4, 0] [4, 3, 4, 0] --------------- = ------------ [7, 4, 9] [7, 4] denominator=, [7, 4, 16] [15, 16, 15, 0] [15, 15, 0] --------------- = ----------- [7, 4, 16] [7, 4] [2, 18, 16, 10, 0] [2, 18, 10, 0] ------------------ = -------------- [7, 4, 16] [7, 4] [5, 1, 16, 5, 0] [5, 1, 5, 0] ---------------- = ------------ [7, 4, 16] [7, 4] denominator=, [7, 6, 10] [2, 19, 10, 6, 5] [2, 19, 6, 5] ----------------- = ------------- [7, 6, 10] [7, 6] denominator=, [7, 7, 15] [1, 10, 15, 12, 10] [1, 10, 12, 10] ------------------- = --------------- [7, 7, 15] [7, 7] denominator=, [7, 8, 4] [16, 4, 3, 15] [16, 3, 15] -------------- = ----------- [7, 8, 4] [7, 8] [3, 0, 4, 2, 10] [3, 0, 2, 10] ---------------- = ------------- [7, 8, 4] [7, 8] [5, 4, 4, 1, 5] [5, 4, 1, 5] --------------- = ------------ [7, 8, 4] [7, 8] denominator=, [7, 10, 6] [1, 11, 6, 5, 0] [1, 11, 5, 0] ---------------- = ------------- [7, 10, 6] [7, 10] denominator=, [7, 13, 3] [2, 16, 3, 2, 0] [2, 16, 2, 0] ---------------- = ------------- [7, 13, 3] [7, 13] denominator=, [7, 13, 9] [3, 12, 9, 5, 0] [3, 12, 5, 0] ---------------- = ------------- [7, 13, 9] [7, 13] denominator=, [7, 13, 17] [1, 4, 17, 15, 0] [1, 4, 15, 0] ----------------- = ------------- [7, 13, 17] [7, 13] [3, 7, 17, 10, 0] [3, 7, 10, 0] ----------------- = ------------- [7, 13, 17] [7, 13] [5, 10, 17, 5, 0] [5, 10, 5, 0] ----------------- = ------------- [7, 13, 17] [7, 13] denominator=, [7, 13, 18] [10, 18, 17, 12] [10, 17, 12] ---------------- = ------------ [7, 13, 18] [7, 13] [1, 3, 18, 16, 0] [1, 3, 16, 0] ----------------- = ------------- [7, 13, 18] [7, 13] [2, 9, 18, 12, 16] [2, 9, 12, 16] ------------------ = -------------- [7, 13, 18] [7, 13] [3, 2, 18, 11, 4] [3, 2, 11, 4] ----------------- = ------------- [7, 13, 18] [7, 13] [3, 15, 18, 9, 12] [3, 15, 9, 12] ------------------ = -------------- [7, 13, 18] [7, 13] [4, 8, 18, 8, 0] [4, 8, 8, 0] ---------------- = ------------ [7, 13, 18] [7, 13] [5, 1, 18, 6, 8] [5, 1, 6, 8] ---------------- = ------------ [7, 13, 18] [7, 13] [5, 14, 18, 4, 16] [5, 14, 4, 16] ------------------ = -------------- [7, 13, 18] [7, 13] [6, 7, 18, 3, 4] [6, 7, 3, 4] ---------------- = ------------ [7, 13, 18] [7, 13] [7, 0, 18, 1, 12] [7, 0, 1, 12] ----------------- = ------------- [7, 13, 18] [7, 13] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [7, 14, 18] [3, 2, 18, 11, 5] [3, 2, 11, 5] ----------------- = ------------- [7, 14, 18] [7, 14] denominator=, [7, 16, 6] [2, 17, 6, 4, 0] [2, 17, 4, 0] ---------------- = ------------- [7, 16, 6] [7, 16] denominator=, [7, 16, 12] [1, 12, 12, 10] [1, 12, 10] --------------- = ----------- [7, 16, 12] [7, 16] [1, 12, 12, 10, 0] [1, 12, 10, 0] ------------------ = -------------- [7, 16, 12] [7, 16] [3, 3, 12, 7, 10] [3, 3, 7, 10] ----------------- = ------------- [7, 16, 12] [7, 16] [4, 14, 12, 5, 0] [4, 14, 5, 0] ----------------- = ------------- [7, 16, 12] [7, 16] [6, 5, 12, 2, 10] [6, 5, 2, 10] ----------------- = ------------- [7, 16, 12] [7, 16] denominator=, [7, 18, 6] [3, 4, 6, 3, 15] [3, 4, 3, 15] ---------------- = ------------- [7, 18, 6] [7, 18] denominator=, [7, 19, 3] [1, 13, 3, 2, 10] [1, 13, 2, 10] ----------------- = -------------- [7, 19, 3] [7, 19] [4, 16, 3, 1, 5] [4, 16, 1, 5] ---------------- = ------------- [7, 19, 3] [7, 19] denominator=, [7, 19, 9] [2, 18, 9, 6, 0] [2, 18, 6, 0] ---------------- = ------------- [7, 19, 9] [7, 19] denominator=, [8, 2, 12] [2, 19, 12, 8, 0] [2, 19, 8, 0] ----------------- = ------------- [8, 2, 12] [8, 2] denominator=, [8, 2, 18] [1, 13, 18, 15, 0] [1, 13, 15, 0] ------------------ = -------------- [8, 2, 18] [8, 2] [3, 16, 18, 10, 0] [3, 16, 10, 0] ------------------ = -------------- [8, 2, 18] [8, 2] [5, 19, 18, 5, 0] [5, 19, 5, 0] ----------------- = ------------- [8, 2, 18] [8, 2] denominator=, [8, 5, 9] [1, 14, 9, 7, 10] [1, 14, 7, 10] ----------------- = -------------- [8, 5, 9] [8, 5] denominator=, [8, 5, 11] [1, 2, 11, 10, 0] [1, 2, 10, 0] ----------------- = ------------- [8, 5, 11] [8, 5] denominator=, [8, 5, 15] [18, 15, 14, 0] [18, 14, 0] --------------- = ----------- [8, 5, 15] [8, 5] [3, 0, 15, 10, 0] [3, 0, 10, 0] ----------------- = ------------- [8, 5, 15] [8, 5] [4, 1, 15, 8, 0] [4, 1, 8, 0] ---------------- = ------------ [8, 5, 15] [8, 5] [6, 3, 15, 4, 0] [6, 3, 4, 0] ---------------- = ------------ [8, 5, 15] [8, 5] [7, 4, 15, 2, 0] [7, 4, 2, 0] ---------------- = ------------ [8, 5, 15] [8, 5] denominator=, [8, 6, 14] [3, 7, 14, 8, 15] [3, 7, 8, 15] ----------------- = ------------- [8, 6, 14] [8, 6] denominator=, [8, 8, 18] [3, 1, 18, 12, 0] [3, 1, 12, 0] ----------------- = ------------- [8, 8, 18] [8, 8] denominator=, [8, 9, 13] [14, 13, 12, 10] [14, 12, 10] ---------------- = ------------ [8, 9, 13] [8, 9] [2, 5, 13, 10, 0] [2, 5, 10, 0] ----------------- = ------------- [8, 9, 13] [8, 9] [3, 16, 13, 7, 10] [3, 16, 7, 10] ------------------ = -------------- [8, 9, 13] [8, 9] [5, 7, 13, 5, 0] [5, 7, 5, 0] ---------------- = ------------ [8, 9, 13] [8, 9] [6, 18, 13, 2, 10] [6, 18, 2, 10] ------------------ = -------------- [8, 9, 13] [8, 9] denominator=, [8, 10, 2] [3, 9, 2, 1, 5] [3, 9, 1, 5] --------------- = ------------ [8, 10, 2] [8, 10] denominator=, [8, 11, 15] [1, 15, 15, 12, 10] [1, 15, 12, 10] ------------------- = --------------- [8, 11, 15] [8, 11] [5, 3, 15, 6, 5] [5, 3, 6, 5] ---------------- = ------------ [8, 11, 15] [8, 11] denominator=, [8, 14, 6] [1, 16, 6, 5, 0] [1, 16, 5, 0] ---------------- = ------------- [8, 14, 6] [8, 14] [5, 5, 6, 2, 10] [5, 5, 2, 10] ---------------- = ------------- [8, 14, 6] [8, 14] denominator=, [8, 15, 7] [2, 16, 7, 5, 0] [2, 16, 5, 0] ---------------- = ------------- [8, 15, 7] [8, 15] denominator=, [8, 16, 11] [2, 14, 11, 8, 0] [2, 14, 8, 0] ----------------- = ------------- [8, 16, 11] [8, 16] [5, 15, 11, 4, 0] [5, 15, 4, 0] ----------------- = ------------- [8, 16, 11] [8, 16] denominator=, [8, 16, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] denominator=, [8, 17, 12] [4, 7, 12, 6, 8] [4, 7, 6, 8] ---------------- = ------------ [8, 17, 12] [8, 17] [6, 12, 12, 3, 4] [6, 12, 3, 4] ----------------- = ------------- [8, 17, 12] [8, 17] denominator=, [8, 18, 10] [3, 12, 10, 6, 5] [3, 12, 6, 5] ----------------- = ------------- [8, 18, 10] [8, 18] denominator=, [9, 0, 4] [3, 13, 4, 2, 10] [3, 13, 2, 10] ----------------- = -------------- [9, 0, 4] [9, 0] denominator=, [9, 0, 12] [1, 17, 12, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [9, 0, 12] [9, 0] denominator=, [9, 2, 7] [4, 3, 7, 4, 0] [4, 3, 4, 0] --------------- = ------------ [9, 2, 7] [9, 2] denominator=, [9, 2, 14] [1, 7, 14, 12, 10] [1, 7, 12, 10] ------------------ = -------------- [9, 2, 14] [9, 2] [2, 18, 14, 10, 0] [2, 18, 10, 0] ------------------ = -------------- [9, 2, 14] [9, 2] [4, 9, 14, 7, 10] [4, 9, 7, 10] ----------------- = ------------- [9, 2, 14] [9, 2] [6, 0, 14, 5, 0] [6, 0, 5, 0] ---------------- = ------------ [9, 2, 14] [9, 2] [7, 11, 14, 2, 10] [7, 11, 2, 10] ------------------ = -------------- [9, 2, 14] [9, 2] denominator=, [9, 3, 3] [1, 18, 3, 2, 10] [1, 18, 2, 10] ----------------- = -------------- [9, 3, 3] [9, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] [7, 14, 3, 0, 10] [7, 14, 0, 10] ----------------- = -------------- [9, 3, 3] [9, 3] denominator=, [9, 6, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [9, 6, 18] [1, 18, 18, 15] [1, 18, 15] --------------- = ----------- [9, 6, 18] [9, 6] [1, 18, 18, 15, 0] [1, 18, 15, 0] ------------------ = -------------- [9, 6, 18] [9, 6] [3, 15, 18, 11, 5] [3, 15, 11, 5] ------------------ = -------------- [9, 6, 18] [9, 6] [5, 12, 18, 7, 10] [5, 12, 7, 10] ------------------ = -------------- [9, 6, 18] [9, 6] [7, 9, 18, 3, 15] [7, 9, 3, 15] ----------------- = ------------- [9, 6, 18] [9, 6] denominator=, [9, 7, 11] [1, 5, 11, 10, 0] [1, 5, 10, 0] ----------------- = ------------- [9, 7, 11] [9, 7] [5, 6, 11, 5, 0] [5, 6, 5, 0] ---------------- = ------------ [9, 7, 11] [9, 7] denominator=, [9, 7, 17] [19, 17, 16, 0] [19, 16, 0] --------------- = ----------- [9, 7, 17] [9, 7] [2, 0, 17, 14, 0] [2, 0, 14, 0] ----------------- = ------------- [9, 7, 17] [9, 7] [3, 1, 17, 12, 0] [3, 1, 12, 0] ----------------- = ------------- [9, 7, 17] [9, 7] [4, 2, 17, 10, 0] [4, 2, 10, 0] ----------------- = ------------- [9, 7, 17] [9, 7] [5, 3, 17, 8, 0] [5, 3, 8, 0] ---------------- = ------------ [9, 7, 17] [9, 7] [6, 4, 17, 6, 0] [6, 4, 6, 0] ---------------- = ------------ [9, 7, 17] [9, 7] [7, 5, 17, 4, 0] [7, 5, 4, 0] ---------------- = ------------ [9, 7, 17] [9, 7] [8, 6, 17, 2, 0] [8, 6, 2, 0] ---------------- = ------------ [9, 7, 17] [9, 7] denominator=, [9, 8, 12] [1, 0, 12, 11, 5] [1, 0, 11, 5] ----------------- = ------------- [9, 8, 12] [9, 8] [3, 16, 12, 7, 10] [3, 16, 7, 10] ------------------ = -------------- [9, 8, 12] [9, 8] [6, 12, 12, 3, 15] [6, 12, 3, 15] ------------------ = -------------- [9, 8, 12] [9, 8] denominator=, [9, 9, 14] [4, 6, 14, 8, 0] [4, 6, 8, 0] ---------------- = ------------ [9, 9, 14] [9, 9] denominator=, [9, 10, 6] [3, 17, 6, 3, 15] [3, 17, 3, 15] ----------------- = -------------- [9, 10, 6] [9, 10] denominator=, [9, 10, 15] [16, 15, 14, 8] [16, 14, 8] --------------- = ----------- [9, 10, 15] [9, 10] [3, 14, 15, 9, 12] [3, 14, 9, 12] ------------------ = -------------- [9, 10, 15] [9, 10] [5, 3, 15, 7, 4] [5, 3, 7, 4] ---------------- = ------------ [9, 10, 15] [9, 10] [6, 12, 15, 4, 16] [6, 12, 4, 16] ------------------ = -------------- [9, 10, 15] [9, 10] [8, 1, 15, 2, 8] [8, 1, 2, 8] ---------------- = ------------ [9, 10, 15] [9, 10] denominator=, [9, 12, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [9, 15, 13] [2, 12, 13, 10, 0] [2, 12, 10, 0] ------------------ = -------------- [9, 15, 13] [9, 15] denominator=, [9, 15, 15] [2, 0, 15, 12, 10] [2, 0, 12, 10] ------------------ = -------------- [9, 15, 15] [9, 15] [3, 11, 15, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [9, 15, 15] [9, 15] [6, 13, 15, 5, 0] [6, 13, 5, 0] ----------------- = ------------- [9, 15, 15] [9, 15] [8, 4, 15, 2, 10] [8, 4, 2, 10] ----------------- = ------------- [9, 15, 15] [9, 15] denominator=, [9, 18, 6] [2, 1, 6, 5, 0] [2, 1, 5, 0] --------------- = ------------ [9, 18, 6] [9, 18] denominator=, [9, 18, 14] [4, 0, 14, 8, 15] [4, 0, 8, 15] ----------------- = ------------- [9, 18, 14] [9, 18] denominator=, [9, 18, 18] [1, 10, 18, 16, 0] [1, 10, 16, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [2, 11, 18, 14, 0] [2, 11, 14, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [3, 12, 18, 12, 0] [3, 12, 12, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [4, 13, 18, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [5, 14, 18, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [6, 15, 18, 6, 0] [6, 15, 6, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [7, 16, 18, 4, 0] [7, 16, 4, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [8, 17, 18, 2, 0] [8, 17, 2, 0] ----------------- = ------------- [9, 18, 18] [9, 18] denominator=, [10, 0, 8] [4, 1, 8, 5, 0] [4, 1, 5, 0] --------------- = ------------ [10, 0, 8] [10, 0] denominator=, [10, 1, 6] [4, 19, 6, 3, 4] [4, 19, 3, 4] ---------------- = ------------- [10, 1, 6] [10, 1] [7, 10, 6, 1, 12] [7, 10, 1, 12] ----------------- = -------------- [10, 1, 6] [10, 1] denominator=, [10, 2, 2] [1, 14, 2, 1, 15] [1, 14, 1, 15] ----------------- = -------------- [10, 2, 2] [10, 2] [4, 2, 2, 1, 5] [4, 2, 1, 5] --------------- = ------------ [10, 2, 2] [10, 2] [6, 10, 2, 0, 15] [6, 10, 0, 15] ----------------- = -------------- [10, 2, 2] [10, 2] [8, 18, 2, 0, 5] [8, 18, 0, 5] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 3, 7] [3, 5, 7, 5, 0] [3, 5, 5, 0] --------------- = ------------ [10, 3, 7] [10, 3] [6, 14, 7, 2, 10] [6, 14, 2, 10] ----------------- = -------------- [10, 3, 7] [10, 3] denominator=, [10, 4, 12] [2, 2, 12, 10, 0] [2, 2, 10, 0] ----------------- = ------------- [10, 4, 12] [10, 4] [6, 3, 12, 5, 0] [6, 3, 5, 0] ---------------- = ------------ [10, 4, 12] [10, 4] denominator=, [10, 7, 3] [2, 3, 3, 2, 10] [2, 3, 2, 10] ---------------- = ------------- [10, 7, 3] [10, 7] [6, 5, 3, 1, 5] [6, 5, 1, 5] --------------- = ------------ [10, 7, 3] [10, 7] denominator=, [10, 8, 13] [1, 5, 13, 12, 0] [1, 5, 12, 0] ----------------- = ------------- [10, 8, 13] [10, 8] [4, 6, 13, 8, 0] [4, 6, 8, 0] ---------------- = ------------ [10, 8, 13] [10, 8] [7, 7, 13, 4, 0] [7, 7, 4, 0] ---------------- = ------------ [10, 8, 13] [10, 8] denominator=, [10, 8, 16] [1, 2, 16, 15, 0] [1, 2, 15, 0] ----------------- = ------------- [10, 8, 16] [10, 8] [2, 13, 16, 12, 10] [2, 13, 12, 10] ------------------- = --------------- [10, 8, 16] [10, 8] [4, 4, 16, 10, 0] [4, 4, 10, 0] ----------------- = ------------- [10, 8, 16] [10, 8] [5, 15, 16, 7, 10] [5, 15, 7, 10] ------------------ = -------------- [10, 8, 16] [10, 8] [7, 6, 16, 5, 0] [7, 6, 5, 0] ---------------- = ------------ [10, 8, 16] [10, 8] [8, 17, 16, 2, 10] [8, 17, 2, 10] ------------------ = -------------- [10, 8, 16] [10, 8] denominator=, [10, 9, 11] [1, 8, 11, 10, 0] [1, 8, 10, 0] ----------------- = ------------- [10, 9, 11] [10, 9] denominator=, [10, 10, 14] [3, 7, 14, 10, 0] [3, 7, 10, 0] ----------------- = ------------- [10, 10, 14] [10, 10] denominator=, [10, 10, 18] [2, 3, 18, 15, 0] [2, 3, 15, 0] ----------------- = ------------- [10, 10, 18] [10, 10] denominator=, [10, 12, 4] [1, 3, 4, 3, 15] [1, 3, 3, 15] ---------------- = ------------- [10, 12, 4] [10, 12] [4, 6, 4, 2, 10] [4, 6, 2, 10] ---------------- = ------------- [10, 12, 4] [10, 12] [7, 9, 4, 1, 5] [7, 9, 1, 5] --------------- = ------------ [10, 12, 4] [10, 12] denominator=, [10, 13, 3] [1, 4, 3, 2, 16] [1, 4, 2, 16] ---------------- = ------------- [10, 13, 3] [10, 13] [3, 18, 3, 2, 0] [3, 18, 2, 0] ---------------- = ------------- [10, 13, 3] [10, 13] [5, 5, 3, 1, 12] [5, 5, 1, 12] ---------------- = ------------- [10, 13, 3] [10, 13] [7, 19, 3, 0, 16] [7, 19, 0, 16] ----------------- = -------------- [10, 13, 3] [10, 13] [9, 6, 3, 0, 8] [9, 6, 0, 8] --------------- = ------------ [10, 13, 3] [10, 13] denominator=, [10, 13, 9] [2, 4, 9, 7, 10] [2, 4, 7, 10] ---------------- = ------------- [10, 13, 9] [10, 13] denominator=, [10, 16, 6] [3, 19, 6, 4, 0] [3, 19, 4, 0] ---------------- = ------------- [10, 16, 6] [10, 16] denominator=, [10, 17, 7] [2, 0, 7, 6, 0] [2, 0, 6, 0] --------------- = ------------ [10, 17, 7] [10, 17] [4, 19, 7, 4, 0] [4, 19, 4, 0] ---------------- = ------------- [10, 17, 7] [10, 17] [7, 18, 7, 2, 0] [7, 18, 2, 0] ---------------- = ------------- [10, 17, 7] [10, 17] denominator=, [10, 18, 18] [1, 16, 18, 15, 15] [1, 16, 15, 15] ------------------- = --------------- [10, 18, 18] [10, 18] [4, 8, 18, 11, 5] [4, 8, 11, 5] ----------------- = ------------- [10, 18, 18] [10, 18] [7, 0, 18, 6, 15] [7, 0, 6, 15] ----------------- = ------------- [10, 18, 18] [10, 18] [9, 12, 18, 2, 5] [9, 12, 2, 5] ----------------- = ------------- [10, 18, 18] [10, 18] denominator=, [10, 19, 9] [4, 0, 9, 6, 0] [4, 0, 6, 0] --------------- = ------------ [10, 19, 9] [10, 19] denominator=, [10, 19, 15] [2, 5, 15, 12, 10] [2, 5, 12, 10] ------------------ = -------------- [10, 19, 15] [10, 19] [6, 12, 15, 6, 5] [6, 12, 6, 5] ----------------- = ------------- [10, 19, 15] [10, 19] denominator=, [11, 0, 12] [4, 9, 12, 7, 10] [4, 9, 7, 10] ----------------- = ------------- [11, 0, 12] [11, 0] denominator=, [11, 1, 13] [2, 19, 13, 10, 0] [2, 19, 10, 0] ------------------ = -------------- [11, 1, 13] [11, 1] [7, 0, 13, 5, 0] [7, 0, 5, 0] ---------------- = ------------ [11, 1, 13] [11, 1] denominator=, [11, 1, 17] [4, 17, 17, 10] [4, 17, 10] --------------- = ----------- [11, 1, 17] [11, 1] [1, 15, 17, 15, 0] [1, 15, 15, 0] ------------------ = -------------- [11, 1, 17] [11, 1] [3, 6, 17, 12, 10] [3, 6, 12, 10] ------------------ = -------------- [11, 1, 17] [11, 1] [4, 17, 17, 10, 0] [4, 17, 10, 0] ------------------ = -------------- [11, 1, 17] [11, 1] [6, 8, 17, 7, 10] [6, 8, 7, 10] ----------------- = ------------- [11, 1, 17] [11, 1] [7, 19, 17, 5, 0] [7, 19, 5, 0] ----------------- = ------------- [11, 1, 17] [11, 1] [9, 10, 17, 2, 10] [9, 10, 2, 10] ------------------ = -------------- [11, 1, 17] [11, 1] denominator=, [11, 2, 6] [2, 6, 6, 5] [2, 6, 5] ------------ = --------- [11, 2, 6] [11, 2] [2, 6, 6, 5, 0] [2, 6, 5, 0] --------------- = ------------ [11, 2, 6] [11, 2] [4, 10, 6, 3, 15] [4, 10, 3, 15] ----------------- = -------------- [11, 2, 6] [11, 2] [6, 14, 6, 2, 10] [6, 14, 2, 10] ----------------- = -------------- [11, 2, 6] [11, 2] [8, 18, 6, 1, 5] [8, 18, 1, 5] ---------------- = ------------- [11, 2, 6] [11, 2] denominator=, [11, 2, 12] [4, 1, 12, 8, 0] [4, 1, 8, 0] ---------------- = ------------ [11, 2, 12] [11, 2] denominator=, [11, 4, 14] [2, 1, 14, 12, 0] [2, 1, 12, 0] ----------------- = ------------- [11, 4, 14] [11, 4] [5, 2, 14, 8, 0] [5, 2, 8, 0] ---------------- = ------------ [11, 4, 14] [11, 4] [8, 3, 14, 4, 0] [8, 3, 4, 0] ---------------- = ------------ [11, 4, 14] [11, 4] denominator=, [11, 5, 9] [5, 6, 9, 5, 0] [5, 6, 5, 0] --------------- = ------------ [11, 5, 9] [11, 5] denominator=, [11, 5, 15] [4, 2, 15, 10, 0] [4, 2, 10, 0] ----------------- = ------------- [11, 5, 15] [11, 5] denominator=, [11, 8, 12] [2, 7, 12, 10, 0] [2, 7, 10, 0] ----------------- = ------------- [11, 8, 12] [11, 8] denominator=, [11, 8, 18] [1, 5, 18, 16, 16] [1, 5, 16, 16] ------------------ = -------------- [11, 8, 18] [11, 8] [4, 3, 18, 12, 0] [4, 3, 12, 0] ----------------- = ------------- [11, 8, 18] [11, 8] [5, 12, 18, 9, 12] [5, 12, 9, 12] ------------------ = -------------- [11, 8, 18] [11, 8] [8, 10, 18, 4, 16] [8, 10, 4, 16] ------------------ = -------------- [11, 8, 18] [11, 8] [9, 19, 18, 2, 8] [9, 19, 2, 8] ----------------- = ------------- [11, 8, 18] [11, 8] denominator=, [11, 10, 5] [1, 0, 5, 4, 16] [1, 0, 4, 16] ---------------- = ------------- [11, 10, 5] [11, 10] [4, 10, 5, 3, 4] [4, 10, 3, 4] ---------------- = ------------- [11, 10, 5] [11, 10] [6, 5, 5, 2, 8] [6, 5, 2, 8] --------------- = ------------ [11, 10, 5] [11, 10] [8, 0, 5, 1, 12] [8, 0, 1, 12] ---------------- = ------------- [11, 10, 5] [11, 10] [9, 15, 5, 0, 16] [9, 15, 0, 16] ----------------- = -------------- [11, 10, 5] [11, 10] denominator=, [11, 10, 14] [4, 13, 14, 8, 15] [4, 13, 8, 15] ------------------ = -------------- [11, 10, 14] [11, 10] denominator=, [11, 11, 3] [2, 8, 3, 2, 10] [2, 8, 2, 10] ---------------- = ------------- [11, 11, 3] [11, 11] denominator=, [11, 11, 7] [3, 14, 7, 5, 0] [3, 14, 5, 0] ---------------- = ------------- [11, 11, 7] [11, 11] denominator=, [11, 12, 8] [1, 5, 8, 7, 10] [1, 5, 7, 10] ---------------- = ------------- [11, 12, 8] [11, 12] [4, 14, 8, 5, 0] [4, 14, 5, 0] ---------------- = ------------- [11, 12, 8] [11, 12] [8, 3, 8, 2, 10] [8, 3, 2, 10] ---------------- = ------------- [11, 12, 8] [11, 12] denominator=, [11, 14, 2] [4, 15, 2, 1, 5] [4, 15, 1, 5] ---------------- = ------------- [11, 14, 2] [11, 14] denominator=, [11, 14, 9] [1, 16, 9, 8, 0] [1, 16, 8, 0] ---------------- = ------------- [11, 14, 9] [11, 14] [6, 15, 9, 4, 0] [6, 15, 4, 0] ---------------- = ------------- [11, 14, 9] [11, 14] denominator=, [11, 14, 18] [17, 18, 17, 10] [17, 17, 10] ---------------- = ------------ [11, 14, 18] [11, 14] [2, 8, 18, 15, 0] [2, 8, 15, 0] ----------------- = ------------- [11, 14, 18] [11, 14] [3, 19, 18, 12, 10] [3, 19, 12, 10] ------------------- = --------------- [11, 14, 18] [11, 14] [5, 10, 18, 10, 0] [5, 10, 10, 0] ------------------ = -------------- [11, 14, 18] [11, 14] [7, 1, 18, 7, 10] [7, 1, 7, 10] ----------------- = ------------- [11, 14, 18] [11, 14] [8, 12, 18, 5, 0] [8, 12, 5, 0] ----------------- = ------------- [11, 14, 18] [11, 14] [10, 3, 18, 2, 10] [10, 3, 2, 10] ------------------ = -------------- [11, 14, 18] [11, 14] denominator=, [11, 17, 9] [2, 9, 9, 7, 10] [2, 9, 7, 10] ---------------- = ------------- [11, 17, 9] [11, 17] [7, 3, 9, 3, 15] [7, 3, 3, 15] ---------------- = ------------- [11, 17, 9] [11, 17] denominator=, [11, 18, 14] [3, 16, 14, 10, 0] [3, 16, 10, 0] ------------------ = -------------- [11, 18, 14] [11, 18] [7, 17, 14, 5, 0] [7, 17, 5, 0] ----------------- = ------------- [11, 18, 14] [11, 18] denominator=, [12, 0, 15] [5, 18, 15, 8, 0] [5, 18, 8, 0] ----------------- = ------------- [12, 0, 15] [12, 0] [8, 19, 15, 4, 0] [8, 19, 4, 0] ----------------- = ------------- [12, 0, 15] [12, 0] denominator=, [12, 0, 16] [4, 17, 16, 10, 0] [4, 17, 10, 0] ------------------ = -------------- [12, 0, 16] [12, 0] denominator=, [12, 2, 10] [4, 18, 10, 6, 5] [4, 18, 6, 5] ----------------- = ------------- [12, 2, 10] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 3, 15] [2, 10, 15, 12, 10] [2, 10, 12, 10] ------------------- = --------------- [12, 3, 15] [12, 3] denominator=, [12, 3, 18] [1, 17, 18, 16, 0] [1, 17, 16, 0] ------------------ = -------------- [12, 3, 18] [12, 3] [7, 0, 18, 8, 0] [7, 0, 8, 0] ---------------- = ------------ [12, 3, 18] [12, 3] denominator=, [12, 4, 4] [2, 1, 4, 3, 10] [2, 1, 3, 10] ---------------- = ------------- [12, 4, 4] [12, 4] [4, 19, 4, 2, 10] [4, 19, 2, 10] ----------------- = -------------- [12, 4, 4] [12, 4] [7, 17, 4, 1, 10] [7, 17, 1, 10] ----------------- = -------------- [12, 4, 4] [12, 4] [10, 15, 4, 0, 10] [10, 15, 0, 10] ------------------ = --------------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 7, 13] [3, 6, 13, 10, 0] [3, 6, 10, 0] ----------------- = ------------- [12, 7, 13] [12, 7] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 10, 18] [5, 1, 18, 11, 5] [5, 1, 11, 5] ----------------- = ------------- [12, 10, 18] [12, 10] denominator=, [12, 12, 7] [5, 15, 7, 4, 0] [5, 15, 4, 0] ---------------- = ------------- [12, 12, 7] [12, 12] denominator=, [12, 13, 11] [1, 14, 11, 10, 0] [1, 14, 10, 0] ------------------ = -------------- [12, 13, 11] [12, 13] denominator=, [12, 14, 6] [5, 3, 6, 3, 15] [5, 3, 3, 15] ---------------- = ------------- [12, 14, 6] [12, 14] denominator=, [12, 15, 3] [2, 13, 3, 2, 10] [2, 13, 2, 10] ----------------- = -------------- [12, 15, 3] [12, 15] [7, 14, 3, 1, 5] [7, 14, 1, 5] ---------------- = ------------- [12, 15, 3] [12, 15] denominator=, [12, 15, 15] [4, 13, 15, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [12, 15, 15] [12, 15] [8, 14, 15, 5, 0] [8, 14, 5, 0] ----------------- = ------------- [12, 15, 15] [12, 15] denominator=, [12, 15, 17] [5, 12, 17, 10, 0] [5, 12, 10, 0] ------------------ = -------------- [12, 15, 17] [12, 15] denominator=, [12, 18, 18] [2, 13, 18, 15, 0] [2, 13, 15, 0] ------------------ = -------------- [12, 18, 18] [12, 18] [4, 14, 18, 12, 0] [4, 14, 12, 0] ------------------ = -------------- [12, 18, 18] [12, 18] [8, 16, 18, 6, 0] [8, 16, 6, 0] ----------------- = ------------- [12, 18, 18] [12, 18] [10, 17, 18, 3, 0] [10, 17, 3, 0] ------------------ = -------------- [12, 18, 18] [12, 18] denominator=, [12, 19, 7] [1, 19, 7, 6, 5] [1, 19, 6, 5] ---------------- = ------------- [12, 19, 7] [12, 19] [4, 3, 7, 5, 0] [4, 3, 5, 0] --------------- = ------------ [12, 19, 7] [12, 19] [6, 7, 7, 3, 15] [6, 7, 3, 15] ---------------- = ------------- [12, 19, 7] [12, 19] [8, 11, 7, 2, 10] [8, 11, 2, 10] ----------------- = -------------- [12, 19, 7] [12, 19] [10, 15, 7, 1, 5] [10, 15, 1, 5] ----------------- = -------------- [12, 19, 7] [12, 19] denominator=, [12, 19, 14] [5, 18, 14, 8, 0] [5, 18, 8, 0] ----------------- = ------------- [12, 19, 14] [12, 19] denominator=, [13, 1, 9] [2, 14, 9, 7, 10] [2, 14, 7, 10] ----------------- = -------------- [13, 1, 9] [13, 1] [6, 3, 9, 5, 0] [6, 3, 5, 0] --------------- = ------------ [13, 1, 9] [13, 1] [9, 12, 9, 2, 10] [9, 12, 2, 10] ----------------- = -------------- [13, 1, 9] [13, 1] denominator=, [13, 2, 14] [5, 6, 14, 8, 15] [5, 6, 8, 15] ----------------- = ------------- [13, 2, 14] [13, 2] denominator=, [13, 4, 8] [5, 7, 8, 5, 0] [5, 7, 5, 0] --------------- = ------------ [13, 4, 8] [13, 4] denominator=, [13, 4, 9] [6, 10, 9, 4, 16] [6, 10, 4, 16] ----------------- = -------------- [13, 4, 9] [13, 4] [9, 17, 9, 2, 8] [9, 17, 2, 8] ---------------- = ------------- [13, 4, 9] [13, 4] denominator=, [13, 6, 2] [5, 8, 2, 1, 5] [5, 8, 1, 5] --------------- = ------------ [13, 6, 2] [13, 6] denominator=, [13, 6, 14] [4, 5, 14, 10, 0] [4, 5, 10, 0] ----------------- = ------------- [13, 6, 14] [13, 6] denominator=, [13, 7, 15] [2, 15, 15, 12, 10] [2, 15, 12, 10] ------------------- = --------------- [13, 7, 15] [13, 7] [8, 1, 15, 6, 5] [8, 1, 6, 5] ---------------- = ------------ [13, 7, 15] [13, 7] denominator=, [13, 10, 6] [2, 16, 6, 5, 0] [2, 16, 5, 0] ---------------- = ------------- [13, 10, 6] [13, 10] [8, 3, 6, 2, 10] [8, 3, 2, 10] ---------------- = ------------- [13, 10, 6] [13, 10] denominator=, [13, 10, 18] [6, 7, 18, 10, 0] [6, 7, 10, 0] ----------------- = ------------- [13, 10, 18] [13, 10] denominator=, [13, 12, 16] [1, 9, 16, 15, 0] [1, 9, 15, 0] ----------------- = ------------- [13, 12, 16] [13, 12] [5, 10, 16, 10, 0] [5, 10, 10, 0] ------------------ = -------------- [13, 12, 16] [13, 12] [9, 11, 16, 5, 0] [9, 11, 5, 0] ----------------- = ------------- [13, 12, 16] [13, 12] denominator=, [13, 12, 17] [1, 8, 17, 16, 0] [1, 8, 16, 0] ----------------- = ------------- [13, 12, 17] [13, 12] [4, 9, 17, 12, 0] [4, 9, 12, 0] ----------------- = ------------- [13, 12, 17] [13, 12] [7, 10, 17, 8, 0] [7, 10, 8, 0] ----------------- = ------------- [13, 12, 17] [13, 12] [10, 11, 17, 4, 0] [10, 11, 4, 0] ------------------ = -------------- [13, 12, 17] [13, 12] denominator=, [13, 13, 3] [5, 0, 3, 2, 0] [5, 0, 2, 0] --------------- = ------------ [13, 13, 3] [13, 13] denominator=, [13, 14, 10] [5, 11, 10, 6, 5] [5, 11, 6, 5] ----------------- = ------------- [13, 14, 10] [13, 14] denominator=, [13, 15, 11] [1, 17, 11, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [13, 15, 11] [13, 15] [7, 16, 11, 5, 0] [7, 16, 5, 0] ----------------- = ------------- [13, 15, 11] [13, 15] denominator=, [13, 16, 4] [1, 10, 4, 3, 15] [1, 10, 3, 15] ----------------- = -------------- [13, 16, 4] [13, 16] [5, 12, 4, 2, 10] [5, 12, 2, 10] ----------------- = -------------- [13, 16, 4] [13, 16] [9, 14, 4, 1, 5] [9, 14, 1, 5] ---------------- = ------------- [13, 16, 4] [13, 16] denominator=, [13, 16, 6] [1, 11, 6, 5, 12] [1, 11, 5, 12] ----------------- = -------------- [13, 16, 6] [13, 16] [5, 1, 6, 4, 0] [5, 1, 4, 0] --------------- = ------------ [13, 16, 6] [13, 16] [6, 16, 6, 3, 4] [6, 16, 3, 4] ---------------- = ------------- [13, 16, 6] [13, 16] [10, 6, 6, 1, 12] [10, 6, 1, 12] ----------------- = -------------- [13, 16, 6] [13, 16] [12, 1, 6, 0, 16] [12, 1, 0, 16] ----------------- = -------------- [13, 16, 6] [13, 16] denominator=, [13, 16, 12] [2, 17, 12, 10, 0] [2, 17, 10, 0] ------------------ = -------------- [13, 16, 12] [13, 16] denominator=, [13, 19, 3] [2, 18, 3, 2, 10] [2, 18, 2, 10] ----------------- = -------------- [13, 19, 3] [13, 19] denominator=, [13, 19, 9] [2, 3, 9, 8, 0] [2, 3, 8, 0] --------------- = ------------ [13, 19, 9] [13, 19] [5, 2, 9, 6, 0] [5, 2, 6, 0] --------------- = ------------ [13, 19, 9] [13, 19] [8, 1, 9, 4, 0] [8, 1, 4, 0] --------------- = ------------ [13, 19, 9] [13, 19] [11, 0, 9, 2, 0] [11, 0, 2, 0] ---------------- = ------------- [13, 19, 9] [13, 19] denominator=, [14, 2, 12] [5, 3, 12, 8, 0] [5, 3, 8, 0] ---------------- = ------------ [14, 2, 12] [14, 2] denominator=, [14, 2, 18] [2, 18, 18, 15] [2, 18, 15] --------------- = ----------- [14, 2, 18] [14, 2] [2, 18, 18, 15, 0] [2, 18, 15, 0] ------------------ = -------------- [14, 2, 18] [14, 2] [5, 14, 18, 11, 5] [5, 14, 11, 5] ------------------ = -------------- [14, 2, 18] [14, 2] [8, 10, 18, 7, 10] [8, 10, 7, 10] ------------------ = -------------- [14, 2, 18] [14, 2] [11, 6, 18, 3, 15] [11, 6, 3, 15] ------------------ = -------------- [14, 2, 18] [14, 2] denominator=, [14, 4, 12] [5, 15, 12, 7, 10] [5, 15, 7, 10] ------------------ = -------------- [14, 4, 12] [14, 4] denominator=, [14, 5, 9] [2, 19, 9, 7, 10] [2, 19, 7, 10] ----------------- = -------------- [14, 5, 9] [14, 5] [8, 12, 9, 3, 15] [8, 12, 3, 15] ----------------- = -------------- [14, 5, 9] [14, 5] denominator=, [14, 5, 15] [5, 4, 15, 10, 0] [5, 4, 10, 0] ----------------- = ------------- [14, 5, 15] [14, 5] denominator=, [14, 6, 6] [2, 8, 6, 5, 5] [2, 8, 5, 5] --------------- = ------------ [14, 6, 6] [14, 6] [5, 16, 6, 3, 15] [5, 16, 3, 15] ----------------- = -------------- [14, 6, 6] [14, 6] [9, 4, 6, 2, 5] [9, 4, 2, 5] --------------- = ------------ [14, 6, 6] [14, 6] [12, 12, 6, 0, 15] [12, 12, 0, 15] ------------------ = --------------- [14, 6, 6] [14, 6] denominator=, [14, 6, 11] [4, 8, 11, 8, 0] [4, 8, 8, 0] ---------------- = ------------ [14, 6, 11] [14, 6] [9, 7, 11, 4, 0] [9, 7, 4, 0] ---------------- = ------------ [14, 6, 11] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 8, 3] [7, 2, 3, 1, 12] [7, 2, 1, 12] ---------------- = ------------- [14, 8, 3] [14, 8] [10, 15, 3, 0, 16] [10, 15, 0, 16] ------------------ = --------------- [14, 8, 3] [14, 8] denominator=, [14, 8, 18] [2, 4, 18, 16, 0] [2, 4, 16, 0] ----------------- = ------------- [14, 8, 18] [14, 8] [5, 5, 18, 12, 0] [5, 5, 12, 0] ----------------- = ------------- [14, 8, 18] [14, 8] [8, 6, 18, 8, 0] [8, 6, 8, 0] ---------------- = ------------ [14, 8, 18] [14, 8] [11, 7, 18, 4, 0] [11, 7, 4, 0] ----------------- = ------------- [14, 8, 18] [14, 8] denominator=, [14, 9, 17] [2, 6, 17, 15, 0] [2, 6, 15, 0] ----------------- = ------------- [14, 9, 17] [14, 9] [6, 7, 17, 10, 0] [6, 7, 10, 0] ----------------- = ------------- [14, 9, 17] [14, 9] [10, 8, 17, 5, 0] [10, 8, 5, 0] ----------------- = ------------- [14, 9, 17] [14, 9] denominator=, [14, 11, 15] [3, 0, 15, 12, 10] [3, 0, 12, 10] ------------------ = -------------- [14, 11, 15] [14, 11] denominator=, [14, 14, 6] [3, 1, 6, 5, 0] [3, 1, 5, 0] --------------- = ------------ [14, 14, 6] [14, 14] denominator=, [14, 16, 8] [1, 12, 8, 7, 10] [1, 12, 7, 10] ----------------- = -------------- [14, 16, 8] [14, 16] [3, 16, 8, 6, 5] [3, 16, 6, 5] ---------------- = ------------- [14, 16, 8] [14, 16] [6, 0, 8, 5, 0] [6, 0, 5, 0] --------------- = ------------ [14, 16, 8] [14, 16] [8, 4, 8, 3, 15] [8, 4, 3, 15] ---------------- = ------------- [14, 16, 8] [14, 16] [10, 8, 8, 2, 10] [10, 8, 2, 10] ----------------- = -------------- [14, 16, 8] [14, 16] [12, 12, 8, 1, 5] [12, 12, 1, 5] ----------------- = -------------- [14, 16, 8] [14, 16] denominator=, [14, 17, 9] [7, 0, 9, 5, 0] [7, 0, 5, 0] --------------- = ------------ [14, 17, 9] [14, 17] denominator=, [14, 17, 11] [2, 0, 11, 10, 0] [2, 0, 10, 0] ----------------- = ------------- [14, 17, 11] [14, 17] denominator=, [14, 18, 2] [6, 1, 2, 1, 5] [6, 1, 1, 5] --------------- = ------------ [14, 18, 2] [14, 18] denominator=, [14, 19, 13] [4, 0, 13, 10, 0] [4, 0, 10, 0] ----------------- = ------------- [14, 19, 13] [14, 19] denominator=, [15, 0, 12] [3, 2, 12, 10, 0] [3, 2, 10, 0] ----------------- = ------------- [15, 0, 12] [15, 0] [9, 1, 12, 5, 0] [9, 1, 5, 0] ---------------- = ------------ [15, 0, 12] [15, 0] denominator=, [15, 3, 3] [1, 19, 3, 2, 15] [1, 19, 2, 15] ----------------- = -------------- [15, 3, 3] [15, 3] [3, 3, 3, 2, 10] [3, 3, 2, 10] ---------------- = ------------- [15, 3, 3] [15, 3] [5, 11, 3, 2, 0] [5, 11, 2, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [6, 15, 3, 1, 15] [6, 15, 1, 15] ----------------- = -------------- [15, 3, 3] [15, 3] [9, 3, 3, 1, 5] [9, 3, 1, 5] --------------- = ------------ [15, 3, 3] [15, 3] [10, 7, 3, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [12, 15, 3, 0, 10] [12, 15, 0, 10] ------------------ = --------------- [15, 3, 3] [15, 3] [13, 19, 3, 0, 5] [13, 19, 0, 5] ----------------- = -------------- [15, 3, 3] [15, 3] denominator=, [15, 3, 18] [7, 9, 18, 9, 12] [7, 9, 9, 12] ----------------- = ------------- [15, 3, 18] [15, 3] [11, 6, 18, 4, 16] [11, 6, 4, 16] ------------------ = -------------- [15, 3, 18] [15, 3] denominator=, [15, 4, 16] [6, 3, 16, 10, 0] [6, 3, 10, 0] ----------------- = ------------- [15, 4, 16] [15, 4] denominator=, [15, 6, 6] [5, 12, 6, 4, 0] [5, 12, 4, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [10, 9, 6, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [15, 6, 6] [15, 6] denominator=, [15, 6, 10] [6, 4, 10, 6, 5] [6, 4, 6, 5] ---------------- = ------------ [15, 6, 10] [15, 6] denominator=, [15, 6, 18] [3, 3, 18, 15, 0] [3, 3, 15, 0] ----------------- = ------------- [15, 6, 18] [15, 6] [7, 4, 18, 10, 0] [7, 4, 10, 0] ----------------- = ------------- [15, 6, 18] [15, 6] [11, 5, 18, 5, 0] [11, 5, 5, 0] ----------------- = ------------- [15, 6, 18] [15, 6] denominator=, [15, 8, 4] [6, 5, 4, 2, 10] [6, 5, 2, 10] ---------------- = ------------- [15, 8, 4] [15, 8] denominator=, [15, 9, 9] [3, 4, 9, 7, 10] [3, 4, 7, 10] ---------------- = ------------- [15, 9, 9] [15, 9] [5, 13, 9, 6, 0] [5, 13, 6, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [10, 11, 9, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [15, 9, 9] [15, 9] [13, 0, 9, 1, 10] [13, 0, 1, 10] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 12, 12] [5, 14, 12, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [10, 13, 12, 4, 0] [10, 13, 4, 0] ------------------ = -------------- [15, 12, 12] [15, 12] denominator=, [15, 14, 18] [6, 7, 18, 11, 5] [6, 7, 11, 5] ----------------- = ------------- [15, 14, 18] [15, 14] denominator=, [15, 15, 7] [5, 1, 7, 5, 0] [5, 1, 5, 0] --------------- = ------------ [15, 15, 7] [15, 15] [10, 8, 7, 2, 10] [10, 8, 2, 10] ----------------- = -------------- [15, 15, 7] [15, 15] denominator=, [15, 16, 12] [1, 14, 12, 11, 5] [1, 14, 11, 5] ------------------ = -------------- [15, 16, 12] [15, 16] [6, 8, 12, 7, 10] [6, 8, 7, 10] ----------------- = ------------- [15, 16, 12] [15, 16] [11, 2, 12, 3, 15] [11, 2, 3, 15] ------------------ = -------------- [15, 16, 12] [15, 16] denominator=, [15, 18, 6] [3, 6, 6, 5] [3, 6, 5] ------------ = --------- [15, 18, 6] [15, 18] [3, 6, 6, 5, 0] [3, 6, 5, 0] --------------- = ------------ [15, 18, 6] [15, 18] [6, 9, 6, 3, 15] [6, 9, 3, 15] ---------------- = ------------- [15, 18, 6] [15, 18] [9, 12, 6, 2, 10] [9, 12, 2, 10] ----------------- = -------------- [15, 18, 6] [15, 18] [12, 15, 6, 1, 5] [12, 15, 1, 5] ----------------- = -------------- [15, 18, 6] [15, 18] denominator=, [15, 18, 18] [5, 16, 18, 12, 0] [5, 16, 12, 0] ------------------ = -------------- [15, 18, 18] [15, 18] [10, 17, 18, 6, 0] [10, 17, 6, 0] ------------------ = -------------- [15, 18, 18] [15, 18] denominator=, [15, 19, 11] [2, 3, 11, 10, 0] [2, 3, 10, 0] ----------------- = ------------- [15, 19, 11] [15, 19] [5, 12, 11, 7, 10] [5, 12, 7, 10] ------------------ = -------------- [15, 19, 11] [15, 19] [9, 1, 11, 5, 0] [9, 1, 5, 0] ---------------- = ------------ [15, 19, 11] [15, 19] [12, 10, 11, 2, 10] [12, 10, 2, 10] ------------------- = --------------- [15, 19, 11] [15, 19] denominator=, [16, 2, 7] [7, 7, 7, 4] [7, 7, 4] ------------ = --------- [16, 2, 7] [16, 2] [2, 2, 7, 6, 8] [2, 2, 6, 8] --------------- = ------------ [16, 2, 7] [16, 2] [5, 12, 7, 4, 16] [5, 12, 4, 16] ----------------- = -------------- [16, 2, 7] [16, 2] [7, 7, 7, 4, 0] [7, 7, 4, 0] --------------- = ------------ [16, 2, 7] [16, 2] [9, 2, 7, 3, 4] [9, 2, 3, 4] --------------- = ------------ [16, 2, 7] [16, 2] [10, 17, 7, 2, 8] [10, 17, 2, 8] ----------------- = -------------- [16, 2, 7] [16, 2] [12, 12, 7, 1, 12] [12, 12, 1, 12] ------------------ = --------------- [16, 2, 7] [16, 2] [14, 7, 7, 0, 16] [14, 7, 0, 16] ----------------- = -------------- [16, 2, 7] [16, 2] denominator=, [16, 2, 14] [5, 3, 14, 10, 0] [5, 3, 10, 0] ----------------- = ------------- [16, 2, 14] [16, 2] denominator=, [16, 3, 17] [7, 2, 17, 10, 0] [7, 2, 10, 0] ----------------- = ------------- [16, 3, 17] [16, 3] denominator=, [16, 4, 9] [2, 10, 9, 8, 0] [2, 10, 8, 0] ---------------- = ------------- [16, 4, 9] [16, 4] [9, 7, 9, 4, 0] [9, 7, 4, 0] --------------- = ------------ [16, 4, 9] [16, 4] denominator=, [16, 4, 12] [3, 7, 12, 10, 0] [3, 7, 10, 0] ----------------- = ------------- [16, 4, 12] [16, 4] denominator=, [16, 5, 13] [4, 7, 13, 10, 0] [4, 7, 10, 0] ----------------- = ------------- [16, 5, 13] [16, 5] [10, 6, 13, 5, 0] [10, 6, 5, 0] ----------------- = ------------- [16, 5, 13] [16, 5] denominator=, [16, 6, 14] [6, 12, 14, 8, 15] [6, 12, 8, 15] ------------------ = -------------- [16, 6, 14] [16, 6] denominator=, [16, 7, 3] [3, 8, 3, 2, 10] [3, 8, 2, 10] ---------------- = ------------- [16, 7, 3] [16, 7] denominator=, [16, 7, 12] [8, 1, 12, 6, 8] [8, 1, 6, 8] ---------------- = ------------ [16, 7, 12] [16, 7] [12, 4, 12, 3, 4] [12, 4, 3, 4] ----------------- = ------------- [16, 7, 12] [16, 7] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 9, 14] [7, 10, 14, 8, 0] [7, 10, 8, 0] ----------------- = ------------- [16, 9, 14] [16, 9] denominator=, [16, 10, 2] [6, 14, 2, 1, 5] [6, 14, 1, 5] ---------------- = ------------- [16, 10, 2] [16, 10] denominator=, [16, 10, 18] [3, 8, 18, 15, 0] [3, 8, 15, 0] ----------------- = ------------- [16, 10, 18] [16, 10] [9, 19, 18, 7, 10] [9, 19, 7, 10] ------------------ = -------------- [16, 10, 18] [16, 10] denominator=, [16, 13, 3] [6, 2, 3, 2, 0] [6, 2, 2, 0] --------------- = ------------ [16, 13, 3] [16, 13] denominator=, [16, 13, 9] [1, 5, 9, 8, 15] [1, 5, 8, 15] ---------------- = ------------- [16, 13, 9] [16, 13] [3, 9, 9, 7, 10] [3, 9, 7, 10] ---------------- = ------------- [16, 13, 9] [16, 13] [5, 13, 9, 6, 5] [5, 13, 6, 5] ---------------- = ------------- [16, 13, 9] [16, 13] [7, 17, 9, 5, 0] [7, 17, 5, 0] ---------------- = ------------- [16, 13, 9] [16, 13] [10, 1, 9, 3, 15] [10, 1, 3, 15] ----------------- = -------------- [16, 13, 9] [16, 13] [12, 5, 9, 2, 10] [12, 5, 2, 10] ----------------- = -------------- [16, 13, 9] [16, 13] [14, 9, 9, 1, 5] [14, 9, 1, 5] ---------------- = ------------- [16, 13, 9] [16, 13] denominator=, [16, 13, 18] [2, 11, 18, 16, 0] [2, 11, 16, 0] ------------------ = -------------- [16, 13, 18] [16, 13] [9, 12, 18, 8, 0] [9, 12, 8, 0] ----------------- = ------------- [16, 13, 18] [16, 13] denominator=, [16, 15, 10] [1, 9, 10, 9, 12] [1, 9, 9, 12] ----------------- = ------------- [16, 15, 10] [16, 15] [6, 11, 10, 6, 8] [6, 11, 6, 8] ----------------- = ------------- [16, 15, 10] [16, 15] [9, 2, 10, 4, 16] [9, 2, 4, 16] ----------------- = ------------- [16, 15, 10] [16, 15] [11, 13, 10, 3, 4] [11, 13, 3, 4] ------------------ = -------------- [16, 15, 10] [16, 15] [14, 4, 10, 1, 12] [14, 4, 1, 12] ------------------ = -------------- [16, 15, 10] [16, 15] denominator=, [16, 16, 6] [6, 3, 6, 4, 0] [6, 3, 4, 0] --------------- = ------------ [16, 16, 6] [16, 16] denominator=, [16, 18, 10] [6, 17, 10, 6, 5] [6, 17, 6, 5] ----------------- = ------------- [16, 18, 10] [16, 18] denominator=, [16, 18, 13] [2, 1, 13, 12, 0] [2, 1, 12, 0] ----------------- = ------------- [16, 18, 13] [16, 18] [7, 0, 13, 8, 0] [7, 0, 8, 0] ---------------- = ------------ [16, 18, 13] [16, 18] [11, 19, 13, 4, 0] [11, 19, 4, 0] ------------------ = -------------- [16, 18, 13] [16, 18] denominator=, [16, 19, 9] [1, 18, 9, 8, 8] [1, 18, 8, 8] ---------------- = ------------- [16, 19, 9] [16, 19] [6, 4, 9, 6, 0] [6, 4, 6, 0] --------------- = ------------ [16, 19, 9] [16, 19] [8, 7, 9, 4, 16] [8, 7, 4, 16] ---------------- = ------------- [16, 19, 9] [16, 19] [12, 13, 9, 2, 8] [12, 13, 2, 8] ----------------- = -------------- [16, 19, 9] [16, 19] [14, 16, 9, 1, 4] [14, 16, 1, 4] ----------------- = -------------- [16, 19, 9] [16, 19] denominator=, [16, 19, 15] [3, 10, 15, 12, 10] [3, 10, 12, 10] ------------------- = --------------- [16, 19, 15] [16, 19] denominator=, [17, 0, 4] [1, 17, 4, 3, 15] [1, 17, 3, 15] ----------------- = -------------- [17, 0, 4] [17, 0] [6, 18, 4, 2, 10] [6, 18, 2, 10] ----------------- = -------------- [17, 0, 4] [17, 0] [11, 19, 4, 1, 5] [11, 19, 1, 5] ----------------- = -------------- [17, 0, 4] [17, 0] denominator=, [17, 1, 11] [2, 6, 11, 10, 0] [2, 6, 10, 0] ----------------- = ------------- [17, 1, 11] [17, 1] [5, 5, 11, 8, 0] [5, 5, 8, 0] ---------------- = ------------ [17, 1, 11] [17, 1] [8, 4, 11, 6, 0] [8, 4, 6, 0] ---------------- = ------------ [17, 1, 11] [17, 1] [11, 3, 11, 4, 0] [11, 3, 4, 0] ----------------- = ------------- [17, 1, 11] [17, 1] [14, 2, 11, 2, 0] [14, 2, 2, 0] ----------------- = ------------- [17, 1, 11] [17, 1] denominator=, [17, 2, 6] [3, 11, 6, 5, 0] [3, 11, 5, 0] ---------------- = ------------- [17, 2, 6] [17, 2] denominator=, [17, 2, 12] [6, 5, 12, 8, 0] [6, 5, 8, 0] ---------------- = ------------ [17, 2, 12] [17, 2] denominator=, [17, 2, 18] [8, 1, 18, 10, 0] [8, 1, 10, 0] ----------------- = ------------- [17, 2, 18] [17, 2] denominator=, [17, 3, 7] [5, 10, 7, 5, 0] [5, 10, 5, 0] ---------------- = ------------- [17, 3, 7] [17, 3] denominator=, [17, 5, 15] [6, 6, 15, 10, 0] [6, 6, 10, 0] ----------------- = ------------- [17, 5, 15] [17, 5] denominator=, [17, 6, 18] [7, 0, 18, 11, 5] [7, 0, 11, 5] ----------------- = ------------- [17, 6, 18] [17, 6] denominator=, [17, 8, 12] [3, 12, 12, 10] [3, 12, 10] --------------- = ----------- [17, 8, 12] [17, 8] [3, 12, 12, 10, 0] [3, 12, 10, 0] ------------------ = -------------- [17, 8, 12] [17, 8] [7, 1, 12, 7, 10] [7, 1, 7, 10] ----------------- = ------------- [17, 8, 12] [17, 8] [10, 10, 12, 5, 0] [10, 10, 5, 0] ------------------ = -------------- [17, 8, 12] [17, 8] [13, 19, 12, 2, 10] [13, 19, 2, 10] ------------------- = --------------- [17, 8, 12] [17, 8] denominator=, [17, 8, 18] [6, 7, 18, 12, 0] [6, 7, 12, 0] ----------------- = ------------- [17, 8, 18] [17, 8] denominator=, [17, 10, 6] [7, 2, 6, 3, 15] [7, 2, 3, 15] ---------------- = ------------- [17, 10, 6] [17, 10] denominator=, [17, 10, 14] [5, 12, 14, 10, 0] [5, 12, 10, 0] ------------------ = -------------- [17, 10, 14] [17, 10] [11, 11, 14, 5, 0] [11, 11, 5, 0] ------------------ = -------------- [17, 10, 14] [17, 10] denominator=, [17, 11, 3] [3, 13, 3, 2, 10] [3, 13, 2, 10] ----------------- = -------------- [17, 11, 3] [17, 11] [10, 12, 3, 1, 5] [10, 12, 1, 5] ----------------- = -------------- [17, 11, 3] [17, 11] denominator=, [17, 11, 6] [8, 13, 6, 3, 4] [8, 13, 3, 4] ---------------- = ------------- [17, 11, 6] [17, 11] [13, 2, 6, 1, 12] [13, 2, 1, 12] ----------------- = -------------- [17, 11, 6] [17, 11] denominator=, [17, 11, 13] [4, 14, 13, 10, 0] [4, 14, 10, 0] ------------------ = -------------- [17, 11, 13] [17, 11] denominator=, [17, 14, 18] [3, 13, 18, 15, 0] [3, 13, 15, 0] ------------------ = -------------- [17, 14, 18] [17, 14] denominator=, [17, 15, 5] [4, 5, 5, 4] [4, 5, 4] ------------ = --------- [17, 15, 5] [17, 15] [1, 11, 5, 4, 16] [1, 11, 4, 16] ----------------- = -------------- [17, 15, 5] [17, 15] [2, 18, 5, 4, 8] [2, 18, 4, 8] ---------------- = ------------- [17, 15, 5] [17, 15] [5, 12, 5, 3, 12] [5, 12, 3, 12] ----------------- = -------------- [17, 15, 5] [17, 15] [6, 19, 5, 3, 4] [6, 19, 3, 4] ---------------- = ------------- [17, 15, 5] [17, 15] [8, 6, 5, 2, 16] [8, 6, 2, 16] ---------------- = ------------- [17, 15, 5] [17, 15] [9, 13, 5, 2, 8] [9, 13, 2, 8] ---------------- = ------------- [17, 15, 5] [17, 15] [12, 7, 5, 1, 12] [12, 7, 1, 12] ----------------- = -------------- [17, 15, 5] [17, 15] [13, 14, 5, 1, 4] [13, 14, 1, 4] ----------------- = -------------- [17, 15, 5] [17, 15] [15, 1, 5, 0, 16] [15, 1, 0, 16] ----------------- = -------------- [17, 15, 5] [17, 15] [16, 8, 5, 0, 8] [16, 8, 0, 8] ---------------- = ------------- [17, 15, 5] [17, 15] denominator=, [17, 17, 7] [3, 6, 7, 6, 0] [3, 6, 6, 0] --------------- = ------------ [17, 17, 7] [17, 17] [8, 3, 7, 4, 0] [8, 3, 4, 0] --------------- = ------------ [17, 17, 7] [17, 17] [13, 0, 7, 2, 0] [13, 0, 2, 0] ---------------- = ------------- [17, 17, 7] [17, 17] denominator=, [17, 17, 9] [3, 14, 9, 7, 10] [3, 14, 7, 10] ----------------- = -------------- [17, 17, 9] [17, 17] denominator=, [17, 18, 14] [7, 5, 14, 8, 15] [7, 5, 8, 15] ----------------- = ------------- [17, 18, 14] [17, 18] denominator=, [18, 0, 8] [1, 19, 8, 7, 10] [1, 19, 7, 10] ----------------- = -------------- [18, 0, 8] [18, 0] [7, 6, 8, 5, 0] [7, 6, 5, 0] --------------- = ------------ [18, 0, 8] [18, 0] [12, 13, 8, 2, 10] [12, 13, 2, 10] ------------------ = --------------- [18, 0, 8] [18, 0] denominator=, [18, 2, 2] [3, 1, 2, 1, 15] [3, 1, 1, 15] ---------------- = ------------- [18, 2, 2] [18, 2] [7, 7, 2, 1, 5] [7, 7, 1, 5] --------------- = ------------ [18, 2, 2] [18, 2] [11, 13, 2, 0, 15] [11, 13, 0, 15] ------------------ = --------------- [18, 2, 2] [18, 2] [15, 19, 2, 0, 5] [15, 19, 0, 5] ----------------- = -------------- [18, 2, 2] [18, 2] denominator=, [18, 3, 3] [2, 1, 3, 2, 16] [2, 1, 2, 16] ---------------- = ------------- [18, 3, 3] [18, 3] [3, 4, 3, 2, 12] [3, 4, 2, 12] ---------------- = ------------- [18, 3, 3] [18, 3] [5, 10, 3, 2, 4] [5, 10, 2, 4] ---------------- = ------------- [18, 3, 3] [18, 3] [6, 13, 3, 2, 0] [6, 13, 2, 0] ---------------- = ------------- [18, 3, 3] [18, 3] [8, 19, 3, 1, 12] [8, 19, 1, 12] ----------------- = -------------- [18, 3, 3] [18, 3] [10, 2, 3, 1, 8] [10, 2, 1, 8] ---------------- = ------------- [18, 3, 3] [18, 3] [12, 8, 3, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [18, 3, 3] [18, 3] [13, 11, 3, 0, 16] [13, 11, 0, 16] ------------------ = --------------- [18, 3, 3] [18, 3] [15, 17, 3, 0, 8] [15, 17, 0, 8] ----------------- = -------------- [18, 3, 3] [18, 3] [17, 0, 3, 0, 4] [17, 0, 0, 4] ---------------- = ------------- [18, 3, 3] [18, 3] denominator=, [18, 3, 11] [2, 9, 11, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [18, 3, 11] [18, 3] [10, 6, 11, 5, 0] [10, 6, 5, 0] ----------------- = ------------- [18, 3, 11] [18, 3] denominator=, [18, 3, 15] [3, 15, 15, 12, 10] [3, 15, 12, 10] ------------------- = --------------- [18, 3, 15] [18, 3] [10, 19, 15, 6, 5] [10, 19, 6, 5] ------------------ = -------------- [18, 3, 15] [18, 3] denominator=, [18, 4, 14] [3, 7, 14, 12, 0] [3, 7, 12, 0] ----------------- = ------------- [18, 4, 14] [18, 4] [8, 6, 14, 8, 0] [8, 6, 8, 0] ---------------- = ------------ [18, 4, 14] [18, 4] [13, 5, 14, 4, 0] [13, 5, 4, 0] ----------------- = ------------- [18, 4, 14] [18, 4] denominator=, [18, 6, 6] [2, 7, 6, 5, 10] [2, 7, 5, 10] ---------------- = ------------- [18, 6, 6] [18, 6] [3, 16, 6, 5, 0] [3, 16, 5, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [6, 14, 6, 4, 0] [6, 14, 4, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [8, 3, 6, 3, 10] [8, 3, 3, 10] ---------------- = ------------- [18, 6, 6] [18, 6] [11, 1, 6, 2, 10] [11, 1, 2, 10] ----------------- = -------------- [18, 6, 6] [18, 6] [12, 10, 6, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [18, 6, 6] [18, 6] [15, 8, 6, 1, 0] [15, 8, 1, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [16, 17, 6, 0, 10] [16, 17, 0, 10] ------------------ = --------------- [18, 6, 6] [18, 6] denominator=, [18, 8, 16] [7, 9, 16, 10, 0] [7, 9, 10, 0] ----------------- = ------------- [18, 8, 16] [18, 8] denominator=, [18, 9, 9] [2, 17, 9, 8, 0] [2, 17, 8, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [4, 16, 9, 7, 0] [4, 16, 7, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [6, 15, 9, 6, 0] [6, 15, 6, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [8, 14, 9, 5, 0] [8, 14, 5, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [10, 13, 9, 4, 0] [10, 13, 4, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [12, 12, 9, 3, 0] [12, 12, 3, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [14, 11, 9, 2, 0] [14, 11, 2, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [16, 10, 9, 1, 0] [16, 10, 1, 0] ----------------- = -------------- [18, 9, 9] [18, 9] denominator=, [18, 10, 10] [3, 2, 10, 8, 15] [3, 2, 8, 15] ----------------- = ------------- [18, 10, 10] [18, 10] [7, 10, 10, 6, 5] [7, 10, 6, 5] ----------------- = ------------- [18, 10, 10] [18, 10] [11, 18, 10, 3, 15] [11, 18, 3, 15] ------------------- = --------------- [18, 10, 10] [18, 10] [16, 6, 10, 1, 5] [16, 6, 1, 5] ----------------- = ------------- [18, 10, 10] [18, 10] denominator=, [18, 11, 7] [2, 16, 7, 6, 5] [2, 16, 6, 5] ---------------- = ------------- [18, 11, 7] [18, 11] [5, 19, 7, 5, 0] [5, 19, 5, 0] ---------------- = ------------- [18, 11, 7] [18, 11] [9, 2, 7, 3, 15] [9, 2, 3, 15] ---------------- = ------------- [18, 11, 7] [18, 11] [12, 5, 7, 2, 10] [12, 5, 2, 10] ----------------- = -------------- [18, 11, 7] [18, 11] [15, 8, 7, 1, 5] [15, 8, 1, 5] ---------------- = ------------- [18, 11, 7] [18, 11] denominator=, [18, 12, 4] [7, 11, 4, 2, 10] [7, 11, 2, 10] ----------------- = -------------- [18, 12, 4] [18, 12] denominator=, [18, 12, 12] [3, 17, 12, 10, 0] [3, 17, 10, 0] ------------------ = -------------- [18, 12, 12] [18, 12] [6, 16, 12, 8, 0] [6, 16, 8, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [12, 14, 12, 4, 0] [12, 14, 4, 0] ------------------ = -------------- [18, 12, 12] [18, 12] [15, 13, 12, 2, 0] [15, 13, 2, 0] ------------------ = -------------- [18, 12, 12] [18, 12] denominator=, [18, 15, 3] [3, 18, 3, 2, 10] [3, 18, 2, 10] ----------------- = -------------- [18, 15, 3] [18, 15] denominator=, [18, 15, 15] [6, 17, 15, 10, 0] [6, 17, 10, 0] ------------------ = -------------- [18, 15, 15] [18, 15] [12, 16, 15, 5, 0] [12, 16, 5, 0] ------------------ = -------------- [18, 15, 15] [18, 15] denominator=, [18, 17, 13] [1, 12, 13, 12, 10] [1, 12, 12, 10] ------------------- = --------------- [18, 17, 13] [18, 17] [5, 1, 13, 10, 0] [5, 1, 10, 0] ----------------- = ------------- [18, 17, 13] [18, 17] [8, 10, 13, 7, 10] [8, 10, 7, 10] ------------------ = -------------- [18, 17, 13] [18, 17] [11, 19, 13, 5, 0] [11, 19, 5, 0] ------------------ = -------------- [18, 17, 13] [18, 17] [15, 8, 13, 2, 10] [15, 8, 2, 10] ------------------ = -------------- [18, 17, 13] [18, 17] denominator=, [18, 18, 14] [6, 1, 14, 10, 0] [6, 1, 10, 0] ----------------- = ------------- [18, 18, 14] [18, 18] denominator=, [19, 0, 12] [2, 1, 12, 11, 5] [2, 1, 11, 5] ----------------- = ------------- [19, 0, 12] [19, 0] [7, 14, 12, 7, 10] [7, 14, 7, 10] ------------------ = -------------- [19, 0, 12] [19, 0] [13, 7, 12, 3, 15] [13, 7, 3, 15] ------------------ = -------------- [19, 0, 12] [19, 0] denominator=, [19, 1, 9] [3, 19, 9, 7, 10] [3, 19, 7, 10] ----------------- = -------------- [19, 1, 9] [19, 1] [11, 10, 9, 3, 15] [11, 10, 3, 15] ------------------ = --------------- [19, 1, 9] [19, 1] denominator=, [19, 2, 6] [7, 15, 6, 3, 15] [7, 15, 3, 15] ----------------- = -------------- [19, 2, 6] [19, 2] denominator=, [19, 5, 11] [2, 12, 11, 10, 0] [2, 12, 10, 0] ------------------ = -------------- [19, 5, 11] [19, 5] denominator=, [19, 7, 15] [4, 0, 15, 12, 10] [4, 0, 12, 10] ------------------ = -------------- [19, 7, 15] [19, 7] denominator=, [19, 10, 6] [4, 1, 6, 5, 0] [4, 1, 5, 0] --------------- = ------------ [19, 10, 6] [19, 10] denominator=, [19, 10, 14] [7, 18, 14, 8, 15] [7, 18, 8, 15] ------------------ = -------------- [19, 10, 14] [19, 10] denominator=, [19, 10, 15] [9, 12, 15, 8, 0] [9, 12, 8, 0] ----------------- = ------------- [19, 10, 15] [19, 10] [14, 11, 15, 4, 0] [14, 11, 4, 0] ------------------ = -------------- [19, 10, 15] [19, 10] denominator=, [19, 11, 17] [8, 12, 17, 10, 0] [8, 12, 10, 0] ------------------ = -------------- [19, 11, 17] [19, 11] denominator=, [19, 12, 7] [8, 19, 7, 4, 0] [8, 19, 4, 0] ---------------- = ------------- [19, 12, 7] [19, 12] denominator=, [19, 12, 8] [7, 19, 8, 5, 0] [7, 19, 5, 0] ---------------- = ------------- [19, 12, 8] [19, 12] denominator=, [19, 13, 3] [7, 4, 3, 2, 0] [7, 4, 2, 0] --------------- = ------------ [19, 13, 3] [19, 13] denominator=, [19, 14, 2] [8, 0, 2, 1, 5] [8, 0, 1, 5] --------------- = ------------ [19, 14, 2] [19, 14] denominator=, [19, 16, 6] [7, 5, 6, 4, 0] [7, 5, 4, 0] --------------- = ------------ [19, 16, 6] [19, 16] denominator=, [19, 16, 11] [6, 2, 11, 8, 0] [6, 2, 8, 0] ---------------- = ------------ [19, 16, 11] [19, 16] [12, 19, 11, 4, 0] [12, 19, 4, 0] ------------------ = -------------- [19, 16, 11] [19, 16] denominator=, [19, 16, 12] [4, 2, 12, 10, 0] [4, 2, 10, 0] ----------------- = ------------- [19, 16, 12] [19, 16] [11, 19, 12, 5, 0] [11, 19, 5, 0] ------------------ = -------------- [19, 16, 12] [19, 16] denominator=, [19, 19, 3] [4, 3, 3, 2, 10] [4, 3, 2, 10] ---------------- = ------------- [19, 19, 3] [19, 19] [12, 1, 3, 1, 5] [12, 1, 1, 5] ---------------- = ------------- [19, 19, 3] [19, 19] denominator=, [19, 19, 7] [6, 8, 7, 5, 0] [6, 8, 5, 0] --------------- = ------------ [19, 19, 7] [19, 19] denominator=, [19, 19, 9] [7, 6, 9, 6, 0] [7, 6, 6, 0] --------------- = ------------ [19, 19, 9] [19, 19] denominator=, [19, 19, 14] [9, 2, 14, 8, 0] [9, 2, 8, 0] ---------------- = ------------ [19, 19, 14] [19, 19] ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [1, 2, 0] [1, 2] [1] --------- = ------ [1, 2, 0] [1, 0] denominator=, [1, 2, 1] [2, 2] [2] --------- = ------ [1, 2, 1] [1, 1] denominator=, [1, 3, 0] [1, 3] [1] --------- = ------ [1, 3, 0] [1, 0] denominator=, [1, 3, 2] [3, 3] [3] --------- = ------ [1, 3, 2] [1, 2] denominator=, [1, 4, 0] [1, 4] [1] --------- = ------ [1, 4, 0] [1, 0] denominator=, [1, 4, 3] [4, 4] [4] --------- = ------ [1, 4, 3] [1, 3] denominator=, [1, 5, 0] [1, 5] [1] --------- = ------ [1, 5, 0] [1, 0] denominator=, [1, 5, 4] [5, 5] [5] --------- = ------ [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [1, 6] [1] --------- = ------ [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6] [6] --------- = ------ [1, 6, 5] [1, 5] denominator=, [1, 7, 0] [1, 7] [1] --------- = ------ [1, 7, 0] [1, 0] denominator=, [1, 7, 6] [7, 7] [7] --------- = ------ [1, 7, 6] [1, 6] denominator=, [1, 8, 0] [1, 8] [1] --------- = ------ [1, 8, 0] [1, 0] denominator=, [1, 8, 7] [8, 8] [8] --------- = ------ [1, 8, 7] [1, 7] denominator=, [1, 9, 0] [1, 9] [1] --------- = ------ [1, 9, 0] [1, 0] denominator=, [1, 9, 8] [9, 9] [9] --------- = ------ [1, 9, 8] [1, 8] denominator=, [1, 10, 0] [1, 10] [1] ---------- = ------ [1, 10, 0] [1, 0] denominator=, [1, 10, 9] [10, 10] [10] ---------- = ------ [1, 10, 9] [1, 9] denominator=, [1, 11, 0] [1, 11] [1] ---------- = ------ [1, 11, 0] [1, 0] denominator=, [1, 11, 10] [11, 11] [11] ----------- = ------- [1, 11, 10] [1, 10] denominator=, [1, 12, 0] [1, 12] [1] ---------- = ------ [1, 12, 0] [1, 0] denominator=, [1, 12, 11] [12, 12] [12] ----------- = ------- [1, 12, 11] [1, 11] denominator=, [1, 13, 0] [1, 13] [1] ---------- = ------ [1, 13, 0] [1, 0] denominator=, [1, 13, 12] [13, 13] [13] ----------- = ------- [1, 13, 12] [1, 12] denominator=, [1, 14, 0] [1, 14] [1] ---------- = ------ [1, 14, 0] [1, 0] denominator=, [1, 14, 13] [14, 14] [14] ----------- = ------- [1, 14, 13] [1, 13] denominator=, [1, 15, 0] [1, 15] [1] ---------- = ------ [1, 15, 0] [1, 0] denominator=, [1, 15, 14] [15, 15] [15] ----------- = ------- [1, 15, 14] [1, 14] denominator=, [1, 16, 0] [1, 16] [1] ---------- = ------ [1, 16, 0] [1, 0] denominator=, [1, 16, 15] [16, 16] [16] ----------- = ------- [1, 16, 15] [1, 15] denominator=, [1, 17, 0] [1, 17] [1] ---------- = ------ [1, 17, 0] [1, 0] denominator=, [1, 17, 16] [17, 17] [17] ----------- = ------- [1, 17, 16] [1, 16] denominator=, [1, 18, 0] [1, 18] [1] ---------- = ------ [1, 18, 0] [1, 0] denominator=, [1, 18, 17] [18, 18] [18] ----------- = ------- [1, 18, 17] [1, 17] denominator=, [1, 19, 0] [1, 19] [1] ---------- = ------ [1, 19, 0] [1, 0] denominator=, [1, 19, 10] [3, 19] [3] ----------- = ------- [1, 19, 10] [1, 10] denominator=, [1, 19, 12] [4, 19] [4] ----------- = ------- [1, 19, 12] [1, 12] denominator=, [1, 19, 15] [7, 19] [7] ----------- = ------- [1, 19, 15] [1, 15] denominator=, [1, 19, 16] [9, 19] [9] ----------- = ------- [1, 19, 16] [1, 16] denominator=, [1, 19, 18] [19, 19] [19] ----------- = ------- [1, 19, 18] [1, 18] denominator=, [2, 1, 0] [2, 1] [2] --------- = ------ [2, 1, 0] [2, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [2, 3, 0] [2, 3] [2] --------- = ------ [2, 3, 0] [2, 0] denominator=, [2, 3, 1] [3, 3] [3] --------- = ------ [2, 3, 1] [2, 1] denominator=, [2, 4, 0] [2, 4] [2] --------- = ------ [2, 4, 0] [2, 0] denominator=, [2, 4, 2] [4, 4] [4] --------- = ------ [2, 4, 2] [2, 2] denominator=, [2, 5, 0] [2, 5] [2] --------- = ------ [2, 5, 0] [2, 0] denominator=, [2, 5, 3] [5, 5] [5] --------- = ------ [2, 5, 3] [2, 3] denominator=, [2, 6, 0] [2, 6] [2] --------- = ------ [2, 6, 0] [2, 0] denominator=, [2, 6, 4] [6, 6] [6] --------- = ------ [2, 6, 4] [2, 4] denominator=, [2, 7, 0] [2, 7] [2] --------- = ------ [2, 7, 0] [2, 0] denominator=, [2, 7, 5] [7, 7] [7] --------- = ------ [2, 7, 5] [2, 5] denominator=, [2, 8, 0] [2, 8] [2] --------- = ------ [2, 8, 0] [2, 0] denominator=, [2, 8, 6] [8, 8] [8] --------- = ------ [2, 8, 6] [2, 6] denominator=, [2, 9, 0] [2, 9] [2] --------- = ------ [2, 9, 0] [2, 0] denominator=, [2, 9, 7] [9, 9] [9] --------- = ------ [2, 9, 7] [2, 7] denominator=, [2, 10, 0] [2, 10] [2] ---------- = ------ [2, 10, 0] [2, 0] denominator=, [2, 10, 8] [10, 10] [10] ---------- = ------ [2, 10, 8] [2, 8] denominator=, [2, 11, 0] [2, 11] [2] ---------- = ------ [2, 11, 0] [2, 0] denominator=, [2, 11, 9] [11, 11] [11] ---------- = ------ [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [2, 12] [2] ---------- = ------ [2, 12, 0] [2, 0] denominator=, [2, 12, 10] [12, 12] [12] ----------- = ------- [2, 12, 10] [2, 10] denominator=, [2, 13, 0] [2, 13] [2] ---------- = ------ [2, 13, 0] [2, 0] denominator=, [2, 13, 11] [13, 13] [13] ----------- = ------- [2, 13, 11] [2, 11] denominator=, [2, 14, 0] [2, 14] [2] ---------- = ------ [2, 14, 0] [2, 0] denominator=, [2, 14, 12] [14, 14] [14] ----------- = ------- [2, 14, 12] [2, 12] denominator=, [2, 15, 0] [2, 15] [2] ---------- = ------ [2, 15, 0] [2, 0] denominator=, [2, 15, 13] [15, 15] [15] ----------- = ------- [2, 15, 13] [2, 13] denominator=, [2, 16, 0] [2, 16] [2] ---------- = ------ [2, 16, 0] [2, 0] denominator=, [2, 16, 14] [16, 16] [16] ----------- = ------- [2, 16, 14] [2, 14] denominator=, [2, 17, 0] [2, 17] [2] ---------- = ------ [2, 17, 0] [2, 0] denominator=, [2, 17, 15] [17, 17] [17] ----------- = ------- [2, 17, 15] [2, 15] denominator=, [2, 18, 0] [2, 18] [2] ---------- = ------ [2, 18, 0] [2, 0] denominator=, [2, 18, 16] [18, 18] [18] ----------- = ------- [2, 18, 16] [2, 16] denominator=, [2, 19, 0] [2, 19] [2] ---------- = ------ [2, 19, 0] [2, 0] denominator=, [2, 19, 5] [3, 19] [3] ---------- = ------ [2, 19, 5] [2, 5] denominator=, [2, 19, 8] [4, 19] [4] ---------- = ------ [2, 19, 8] [2, 8] denominator=, [2, 19, 10] [5, 19] [5] ----------- = ------- [2, 19, 10] [2, 10] denominator=, [2, 19, 14] [9, 19] [9] ----------- = ------- [2, 19, 14] [2, 14] denominator=, [2, 19, 15] [11, 19] [11] ----------- = ------- [2, 19, 15] [2, 15] denominator=, [2, 19, 16] [14, 19] [14] ----------- = ------- [2, 19, 16] [2, 16] denominator=, [2, 19, 17] [19, 19] [19] ----------- = ------- [2, 19, 17] [2, 17] denominator=, [2, 19, 18] [1, 9, 19] [1, 9] ----------- = ------- [2, 19, 18] [2, 18] denominator=, [3, 1, 0] [3, 1] [3] --------- = ------ [3, 1, 0] [3, 0] denominator=, [3, 2, 0] [3, 2] [3] --------- = ------ [3, 2, 0] [3, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [3, 4, 0] [3, 4] [3] --------- = ------ [3, 4, 0] [3, 0] denominator=, [3, 4, 1] [4, 4] [4] --------- = ------ [3, 4, 1] [3, 1] denominator=, [3, 5, 0] [3, 5] [3] --------- = ------ [3, 5, 0] [3, 0] denominator=, [3, 5, 2] [5, 5] [5] --------- = ------ [3, 5, 2] [3, 2] denominator=, [3, 6, 0] [3, 6] [3] --------- = ------ [3, 6, 0] [3, 0] denominator=, [3, 6, 3] [6, 6] [6] --------- = ------ [3, 6, 3] [3, 3] denominator=, [3, 7, 0] [3, 7] [3] --------- = ------ [3, 7, 0] [3, 0] denominator=, [3, 7, 4] [7, 7] [7] --------- = ------ [3, 7, 4] [3, 4] denominator=, [3, 8, 0] [3, 8] [3] --------- = ------ [3, 8, 0] [3, 0] denominator=, [3, 8, 5] [8, 8] [8] --------- = ------ [3, 8, 5] [3, 5] denominator=, [3, 9, 0] [3, 9] [3] --------- = ------ [3, 9, 0] [3, 0] denominator=, [3, 9, 6] [9, 9] [9] --------- = ------ [3, 9, 6] [3, 6] denominator=, [3, 10, 0] [3, 10] [3] ---------- = ------ [3, 10, 0] [3, 0] denominator=, [3, 10, 7] [10, 10] [10] ---------- = ------ [3, 10, 7] [3, 7] denominator=, [3, 11, 0] [3, 11] [3] ---------- = ------ [3, 11, 0] [3, 0] denominator=, [3, 11, 8] [11, 11] [11] ---------- = ------ [3, 11, 8] [3, 8] denominator=, [3, 12, 0] [3, 12] [3] ---------- = ------ [3, 12, 0] [3, 0] denominator=, [3, 12, 9] [12, 12] [12] ---------- = ------ [3, 12, 9] [3, 9] denominator=, [3, 13, 0] [3, 13] [3] ---------- = ------ [3, 13, 0] [3, 0] denominator=, [3, 13, 10] [13, 13] [13] ----------- = ------- [3, 13, 10] [3, 10] denominator=, [3, 14, 0] [3, 14] [3] ---------- = ------ [3, 14, 0] [3, 0] denominator=, [3, 14, 11] [14, 14] [14] ----------- = ------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [3, 15] [3] ---------- = ------ [3, 15, 0] [3, 0] denominator=, [3, 15, 12] [15, 15] [15] ----------- = ------- [3, 15, 12] [3, 12] denominator=, [3, 16, 0] [3, 16] [3] ---------- = ------ [3, 16, 0] [3, 0] denominator=, [3, 16, 13] [16, 16] [16] ----------- = ------- [3, 16, 13] [3, 13] denominator=, [3, 17, 0] [3, 17] [3] ---------- = ------ [3, 17, 0] [3, 0] denominator=, [3, 17, 14] [17, 17] [17] ----------- = ------- [3, 17, 14] [3, 14] denominator=, [3, 18, 0] [3, 18] [3] ---------- = ------ [3, 18, 0] [3, 0] denominator=, [3, 18, 15] [18, 18] [18] ----------- = ------- [3, 18, 15] [3, 15] denominator=, [3, 19, 0] [3, 19] [3] ---------- = ------ [3, 19, 0] [3, 0] denominator=, [3, 19, 4] [4, 19] [4] ---------- = ------ [3, 19, 4] [3, 4] denominator=, [3, 19, 10] [7, 19] [7] ----------- = ------- [3, 19, 10] [3, 10] denominator=, [3, 19, 12] [9, 19] [9] ----------- = ------- [3, 19, 12] [3, 12] denominator=, [3, 19, 15] [15, 19] [15] ----------- = ------- [3, 19, 15] [3, 15] denominator=, [3, 19, 16] [19, 19] [19] ----------- = ------- [3, 19, 16] [3, 16] denominator=, [3, 19, 18] [1, 19, 19] [1, 19] ----------- = ------- [3, 19, 18] [3, 18] denominator=, [4, 1, 0] [4, 1] [4] --------- = ------ [4, 1, 0] [4, 0] denominator=, [4, 2, 0] [4, 2] [4] --------- = ------ [4, 2, 0] [4, 0] denominator=, [4, 3, 0] [4, 3] [4] --------- = ------ [4, 3, 0] [4, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [4, 5, 0] [4, 5] [4] --------- = ------ [4, 5, 0] [4, 0] denominator=, [4, 5, 1] [5, 5] [5] --------- = ------ [4, 5, 1] [4, 1] denominator=, [4, 6, 0] [4, 6] [4] --------- = ------ [4, 6, 0] [4, 0] denominator=, [4, 6, 2] [6, 6] [6] --------- = ------ [4, 6, 2] [4, 2] denominator=, [4, 7, 0] [4, 7] [4] --------- = ------ [4, 7, 0] [4, 0] denominator=, [4, 7, 3] [7, 7] [7] --------- = ------ [4, 7, 3] [4, 3] denominator=, [4, 8, 0] [4, 8] [4] --------- = ------ [4, 8, 0] [4, 0] denominator=, [4, 8, 4] [8, 8] [8] --------- = ------ [4, 8, 4] [4, 4] denominator=, [4, 9, 0] [4, 9] [4] --------- = ------ [4, 9, 0] [4, 0] denominator=, [4, 9, 5] [9, 9] [9] --------- = ------ [4, 9, 5] [4, 5] denominator=, [4, 10, 0] [4, 10] [4] ---------- = ------ [4, 10, 0] [4, 0] denominator=, [4, 10, 6] [10, 10] [10] ---------- = ------ [4, 10, 6] [4, 6] denominator=, [4, 11, 0] [4, 11] [4] ---------- = ------ [4, 11, 0] [4, 0] denominator=, [4, 11, 7] [11, 11] [11] ---------- = ------ [4, 11, 7] [4, 7] denominator=, [4, 11, 10] [1, 13, 11] [1, 13] ----------- = ------- [4, 11, 10] [4, 10] denominator=, [4, 12, 0] [4, 12] [4] ---------- = ------ [4, 12, 0] [4, 0] denominator=, [4, 12, 8] [12, 12] [12] ---------- = ------ [4, 12, 8] [4, 8] denominator=, [4, 13, 0] [4, 13] [4] ---------- = ------ [4, 13, 0] [4, 0] denominator=, [4, 13, 9] [13, 13] [13] ---------- = ------ [4, 13, 9] [4, 9] denominator=, [4, 14, 0] [4, 14] [4] ---------- = ------ [4, 14, 0] [4, 0] denominator=, [4, 14, 10] [14, 14] [14] ----------- = ------- [4, 14, 10] [4, 10] denominator=, [4, 15, 0] [4, 15] [4] ---------- = ------ [4, 15, 0] [4, 0] denominator=, [4, 15, 11] [15, 15] [15] ----------- = ------- [4, 15, 11] [4, 11] denominator=, [4, 16, 0] [4, 16] [4] ---------- = ------ [4, 16, 0] [4, 0] denominator=, [4, 16, 12] [16, 16] [16] ----------- = ------- [4, 16, 12] [4, 12] denominator=, [4, 17, 0] [4, 17] [4] ---------- = ------ [4, 17, 0] [4, 0] denominator=, [4, 17, 13] [17, 17] [17] ----------- = ------- [4, 17, 13] [4, 13] denominator=, [4, 18, 0] [4, 18] [4] ---------- = ------ [4, 18, 0] [4, 0] denominator=, [4, 18, 14] [18, 18] [18] ----------- = ------- [4, 18, 14] [4, 14] denominator=, [4, 19, 0] [4, 19] [4] ---------- = ------ [4, 19, 0] [4, 0] denominator=, [4, 19, 10] [9, 19] [9] ----------- = ------- [4, 19, 10] [4, 10] denominator=, [4, 19, 15] [19, 19] [19] ----------- = ------- [4, 19, 15] [4, 15] denominator=, [4, 19, 16] [1, 4, 19] [1, 4] ----------- = ------- [4, 19, 16] [4, 16] denominator=, [4, 19, 18] [2, 9, 19] [2, 9] ----------- = ------- [4, 19, 18] [4, 18] denominator=, [5, 1, 0] [5, 1] [5] --------- = ------ [5, 1, 0] [5, 0] denominator=, [5, 2, 0] [5, 2] [5] --------- = ------ [5, 2, 0] [5, 0] denominator=, [5, 3, 0] [5, 3] [5] --------- = ------ [5, 3, 0] [5, 0] denominator=, [5, 4, 0] [5, 4] [5] --------- = ------ [5, 4, 0] [5, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [5, 6, 0] [5, 6] [5] --------- = ------ [5, 6, 0] [5, 0] denominator=, [5, 6, 1] [6, 6] [6] --------- = ------ [5, 6, 1] [5, 1] denominator=, [5, 7, 0] [5, 7] [5] --------- = ------ [5, 7, 0] [5, 0] denominator=, [5, 7, 2] [7, 7] [7] --------- = ------ [5, 7, 2] [5, 2] denominator=, [5, 8, 0] [5, 8] [5] --------- = ------ [5, 8, 0] [5, 0] denominator=, [5, 8, 3] [8, 8] [8] --------- = ------ [5, 8, 3] [5, 3] denominator=, [5, 9, 0] [5, 9] [5] --------- = ------ [5, 9, 0] [5, 0] denominator=, [5, 9, 4] [9, 9] [9] --------- = ------ [5, 9, 4] [5, 4] denominator=, [5, 10, 0] [5, 10] [5] ---------- = ------ [5, 10, 0] [5, 0] denominator=, [5, 10, 5] [10, 10] [10] ---------- = ------ [5, 10, 5] [5, 5] denominator=, [5, 11, 0] [5, 11] [5] ---------- = ------ [5, 11, 0] [5, 0] denominator=, [5, 11, 6] [11, 11] [11] ---------- = ------ [5, 11, 6] [5, 6] denominator=, [5, 12, 0] [5, 12] [5] ---------- = ------ [5, 12, 0] [5, 0] denominator=, [5, 12, 7] [12, 12] [12] ---------- = ------ [5, 12, 7] [5, 7] denominator=, [5, 13, 0] [5, 13] [5] ---------- = ------ [5, 13, 0] [5, 0] denominator=, [5, 13, 8] [13, 13] [13] ---------- = ------ [5, 13, 8] [5, 8] denominator=, [5, 14, 0] [5, 14] [5] ---------- = ------ [5, 14, 0] [5, 0] denominator=, [5, 14, 9] [14, 14] [14] ---------- = ------ [5, 14, 9] [5, 9] denominator=, [5, 15, 0] [5, 15] [5] ---------- = ------ [5, 15, 0] [5, 0] denominator=, [5, 15, 10] [15, 15] [15] ----------- = ------- [5, 15, 10] [5, 10] denominator=, [5, 16, 0] [5, 16] [5] ---------- = ------ [5, 16, 0] [5, 0] denominator=, [5, 16, 11] [16, 16] [16] ----------- = ------- [5, 16, 11] [5, 11] denominator=, [5, 17, 0] [5, 17] [5] ---------- = ------ [5, 17, 0] [5, 0] denominator=, [5, 17, 12] [17, 17] [17] ----------- = ------- [5, 17, 12] [5, 12] denominator=, [5, 18, 0] [5, 18] [5] ---------- = ------ [5, 18, 0] [5, 0] denominator=, [5, 18, 13] [18, 18] [18] ----------- = ------- [5, 18, 13] [5, 13] denominator=, [5, 19, 0] [5, 19] [5] ---------- = ------ [5, 19, 0] [5, 0] denominator=, [5, 19, 5] [7, 19] [7] ---------- = ------ [5, 19, 5] [5, 5] denominator=, [5, 19, 8] [9, 19] [9] ---------- = ------ [5, 19, 8] [5, 8] denominator=, [5, 19, 10] [11, 19] [11] ----------- = ------- [5, 19, 10] [5, 10] denominator=, [5, 19, 12] [14, 19] [14] ----------- = ------- [5, 19, 12] [5, 12] denominator=, [5, 19, 14] [19, 19] [19] ----------- = ------- [5, 19, 14] [5, 14] denominator=, [5, 19, 15] [1, 3, 19] [1, 3] ----------- = ------- [5, 19, 15] [5, 15] denominator=, [5, 19, 16] [1, 9, 19] [1, 9] ----------- = ------- [5, 19, 16] [5, 16] denominator=, [5, 19, 17] [1, 19, 19] [1, 19] ----------- = ------- [5, 19, 17] [5, 17] denominator=, [5, 19, 18] [2, 19, 19] [2, 19] ----------- = ------- [5, 19, 18] [5, 18] denominator=, [6, 1, 0] [6, 1] [6] --------- = ------ [6, 1, 0] [6, 0] denominator=, [6, 2, 0] [6, 2] [6] --------- = ------ [6, 2, 0] [6, 0] denominator=, [6, 3, 0] [6, 3] [6] --------- = ------ [6, 3, 0] [6, 0] denominator=, [6, 4, 0] [6, 4] [6] --------- = ------ [6, 4, 0] [6, 0] denominator=, [6, 5, 0] [6, 5] [6] --------- = ------ [6, 5, 0] [6, 0] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 6, 5] [1, 10, 6] [1, 10] ---------- = ------- [6, 6, 5] [6, 5] denominator=, [6, 7, 0] [6, 7] [6] --------- = ------ [6, 7, 0] [6, 0] denominator=, [6, 7, 1] [7, 7] [7] --------- = ------ [6, 7, 1] [6, 1] denominator=, [6, 8, 0] [6, 8] [6] --------- = ------ [6, 8, 0] [6, 0] denominator=, [6, 8, 2] [8, 8] [8] --------- = ------ [6, 8, 2] [6, 2] denominator=, [6, 9, 0] [6, 9] [6] --------- = ------ [6, 9, 0] [6, 0] denominator=, [6, 9, 3] [9, 9] [9] --------- = ------ [6, 9, 3] [6, 3] denominator=, [6, 10, 0] [6, 10] [6] ---------- = ------ [6, 10, 0] [6, 0] denominator=, [6, 10, 4] [10, 10] [10] ---------- = ------ [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [6, 11] [6] ---------- = ------ [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11] [11] ---------- = ------ [6, 11, 5] [6, 5] denominator=, [6, 12, 0] [6, 12] [6] ---------- = ------ [6, 12, 0] [6, 0] denominator=, [6, 12, 6] [12, 12] [12] ---------- = ------ [6, 12, 6] [6, 6] denominator=, [6, 13, 0] [6, 13] [6] ---------- = ------ [6, 13, 0] [6, 0] denominator=, [6, 13, 7] [13, 13] [13] ---------- = ------ [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [6, 14] [6] ---------- = ------ [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14] [14] ---------- = ------ [6, 14, 8] [6, 8] denominator=, [6, 15, 0] [6, 15] [6] ---------- = ------ [6, 15, 0] [6, 0] denominator=, [6, 15, 9] [15, 15] [15] ---------- = ------ [6, 15, 9] [6, 9] denominator=, [6, 16, 0] [6, 16] [6] ---------- = ------ [6, 16, 0] [6, 0] denominator=, [6, 16, 10] [16, 16] [16] ----------- = ------- [6, 16, 10] [6, 10] denominator=, [6, 17, 0] [6, 17] [6] ---------- = ------ [6, 17, 0] [6, 0] denominator=, [6, 17, 11] [17, 17] [17] ----------- = ------- [6, 17, 11] [6, 11] denominator=, [6, 18, 0] [6, 18] [6] ---------- = ------ [6, 18, 0] [6, 0] denominator=, [6, 18, 12] [18, 18] [18] ----------- = ------- [6, 18, 12] [6, 12] denominator=, [6, 19, 0] [6, 19] [6] ---------- = ------ [6, 19, 0] [6, 0] denominator=, [6, 19, 6] [9, 19] [9] ---------- = ------ [6, 19, 6] [6, 6] denominator=, [6, 19, 10] [13, 19] [13] ----------- = ------- [6, 19, 10] [6, 10] denominator=, [6, 19, 13] [19, 19] [19] ----------- = ------- [6, 19, 13] [6, 13] denominator=, [6, 19, 15] [1, 7, 19] [1, 7] ----------- = ------- [6, 19, 15] [6, 15] denominator=, [6, 19, 16] [1, 14, 19] [1, 14] ----------- = ------- [6, 19, 16] [6, 16] denominator=, [6, 19, 18] [3, 9, 19] [3, 9] ----------- = ------- [6, 19, 18] [6, 18] denominator=, [7, 1, 0] [7, 1] [7] --------- = ------ [7, 1, 0] [7, 0] denominator=, [7, 2, 0] [7, 2] [7] --------- = ------ [7, 2, 0] [7, 0] denominator=, [7, 3, 0] [7, 3] [7] --------- = ------ [7, 3, 0] [7, 0] denominator=, [7, 4, 0] [7, 4] [7] --------- = ------ [7, 4, 0] [7, 0] denominator=, [7, 5, 0] [7, 5] [7] --------- = ------ [7, 5, 0] [7, 0] denominator=, [7, 5, 4] [1, 10, 5] [1, 10] ---------- = ------- [7, 5, 4] [7, 4] denominator=, [7, 6, 0] [7, 6] [7] --------- = ------ [7, 6, 0] [7, 0] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [7, 8, 0] [7, 8] [7] --------- = ------ [7, 8, 0] [7, 0] denominator=, [7, 8, 1] [8, 8] [8] --------- = ------ [7, 8, 1] [7, 1] denominator=, [7, 9, 0] [7, 9] [7] --------- = ------ [7, 9, 0] [7, 0] denominator=, [7, 9, 2] [9, 9] [9] --------- = ------ [7, 9, 2] [7, 2] denominator=, [7, 10, 0] [7, 10] [7] ---------- = ------ [7, 10, 0] [7, 0] denominator=, [7, 10, 3] [10, 10] [10] ---------- = ------ [7, 10, 3] [7, 3] denominator=, [7, 11, 0] [7, 11] [7] ---------- = ------ [7, 11, 0] [7, 0] denominator=, [7, 11, 4] [11, 11] [11] ---------- = ------ [7, 11, 4] [7, 4] denominator=, [7, 11, 10] [2, 15, 11] [2, 15] ----------- = ------- [7, 11, 10] [7, 10] denominator=, [7, 12, 0] [7, 12] [7] ---------- = ------ [7, 12, 0] [7, 0] denominator=, [7, 12, 5] [12, 12] [12] ---------- = ------ [7, 12, 5] [7, 5] denominator=, [7, 12, 10] [1, 16, 12] [1, 16] ----------- = ------- [7, 12, 10] [7, 10] denominator=, [7, 13, 0] [7, 13] [7] ---------- = ------ [7, 13, 0] [7, 0] denominator=, [7, 13, 6] [13, 13] [13] ---------- = ------ [7, 13, 6] [7, 6] denominator=, [7, 14, 0] [7, 14] [7] ---------- = ------ [7, 14, 0] [7, 0] denominator=, [7, 14, 7] [14, 14] [14] ---------- = ------ [7, 14, 7] [7, 7] denominator=, [7, 15, 0] [7, 15] [7] ---------- = ------ [7, 15, 0] [7, 0] denominator=, [7, 15, 8] [15, 15] [15] ---------- = ------ [7, 15, 8] [7, 8] denominator=, [7, 16, 0] [7, 16] [7] ---------- = ------ [7, 16, 0] [7, 0] denominator=, [7, 16, 9] [16, 16] [16] ---------- = ------ [7, 16, 9] [7, 9] denominator=, [7, 17, 0] [7, 17] [7] ---------- = ------ [7, 17, 0] [7, 0] denominator=, [7, 17, 10] [17, 17] [17] ----------- = ------- [7, 17, 10] [7, 10] denominator=, [7, 18, 0] [7, 18] [7] ---------- = ------ [7, 18, 0] [7, 0] denominator=, [7, 18, 11] [18, 18] [18] ----------- = ------- [7, 18, 11] [7, 11] denominator=, [7, 19, 0] [7, 19] [7] ---------- = ------ [7, 19, 0] [7, 0] denominator=, [7, 19, 4] [9, 19] [9] ---------- = ------ [7, 19, 4] [7, 4] denominator=, [7, 19, 10] [15, 19] [15] ----------- = ------- [7, 19, 10] [7, 10] denominator=, [7, 19, 12] [19, 19] [19] ----------- = ------- [7, 19, 12] [7, 12] denominator=, [7, 19, 15] [1, 11, 19] [1, 11] ----------- = ------- [7, 19, 15] [7, 15] denominator=, [7, 19, 16] [1, 19, 19] [1, 19] ----------- = ------- [7, 19, 16] [7, 16] denominator=, [7, 19, 18] [3, 19, 19] [3, 19] ----------- = ------- [7, 19, 18] [7, 18] denominator=, [8, 1, 0] [8, 1] [8] --------- = ------ [8, 1, 0] [8, 0] denominator=, [8, 2, 0] [8, 2] [8] --------- = ------ [8, 2, 0] [8, 0] denominator=, [8, 3, 0] [8, 3] [8] --------- = ------ [8, 3, 0] [8, 0] denominator=, [8, 4, 0] [8, 4] [8] --------- = ------ [8, 4, 0] [8, 0] denominator=, [8, 5, 0] [8, 5] [8] --------- = ------ [8, 5, 0] [8, 0] denominator=, [8, 6, 0] [8, 6] [8] --------- = ------ [8, 6, 0] [8, 0] denominator=, [8, 7, 0] [8, 7] [8] --------- = ------ [8, 7, 0] [8, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [8, 9, 0] [8, 9] [8] --------- = ------ [8, 9, 0] [8, 0] denominator=, [8, 9, 1] [9, 9] [9] --------- = ------ [8, 9, 1] [8, 1] denominator=, [8, 9, 8] [2, 14, 9] [2, 14] ---------- = ------- [8, 9, 8] [8, 8] denominator=, [8, 10, 0] [8, 10] [8] ---------- = ------ [8, 10, 0] [8, 0] denominator=, [8, 10, 2] [10, 10] [10] ---------- = ------ [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [1, 15, 10] [1, 15] ----------- = ------- [8, 10, 8] [8, 8] denominator=, [8, 11, 0] [8, 11] [8] ---------- = ------ [8, 11, 0] [8, 0] denominator=, [8, 11, 3] [11, 11] [11] ---------- = ------ [8, 11, 3] [8, 3] denominator=, [8, 12, 0] [8, 12] [8] ---------- = ------ [8, 12, 0] [8, 0] denominator=, [8, 12, 4] [12, 12] [12] ---------- = ------ [8, 12, 4] [8, 4] denominator=, [8, 13, 0] [8, 13] [8] ---------- = ------ [8, 13, 0] [8, 0] denominator=, [8, 13, 5] [13, 13] [13] ---------- = ------ [8, 13, 5] [8, 5] denominator=, [8, 14, 0] [8, 14] [8] ---------- = ------ [8, 14, 0] [8, 0] denominator=, [8, 14, 6] [14, 14] [14] ---------- = ------ [8, 14, 6] [8, 6] denominator=, [8, 15, 0] [8, 15] [8] ---------- = ------ [8, 15, 0] [8, 0] denominator=, [8, 15, 7] [15, 15] [15] ---------- = ------ [8, 15, 7] [8, 7] denominator=, [8, 16, 0] [8, 16] [8] ---------- = ------ [8, 16, 0] [8, 0] denominator=, [8, 16, 8] [16, 16] [16] ---------- = ------ [8, 16, 8] [8, 8] denominator=, [8, 16, 15] [4, 0, 16] [4, 0] ----------- = ------- [8, 16, 15] [8, 15] denominator=, [8, 17, 0] [8, 17] [8] ---------- = ------ [8, 17, 0] [8, 0] denominator=, [8, 17, 9] [17, 17] [17] ---------- = ------ [8, 17, 9] [8, 9] denominator=, [8, 18, 0] [8, 18] [8] ---------- = ------ [8, 18, 0] [8, 0] denominator=, [8, 18, 10] [18, 18] [18] ----------- = ------- [8, 18, 10] [8, 10] denominator=, [8, 18, 15] [2, 2, 18] [2, 2] ----------- = ------- [8, 18, 15] [8, 15] denominator=, [8, 19, 0] [8, 19] [8] ---------- = ------ [8, 19, 0] [8, 0] denominator=, [8, 19, 2] [9, 19] [9] ---------- = ------ [8, 19, 2] [8, 2] denominator=, [8, 19, 5] [11, 19] [11] ---------- = ------ [8, 19, 5] [8, 5] denominator=, [8, 19, 8] [14, 19] [14] ---------- = ------ [8, 19, 8] [8, 8] denominator=, [8, 19, 10] [17, 19] [17] ----------- = ------- [8, 19, 10] [8, 10] denominator=, [8, 19, 11] [19, 19] [19] ----------- = ------- [8, 19, 11] [8, 11] denominator=, [8, 19, 14] [1, 9, 19] [1, 9] ----------- = ------- [8, 19, 14] [8, 14] denominator=, [8, 19, 15] [1, 15, 19] [1, 15] ----------- = ------- [8, 19, 15] [8, 15] denominator=, [8, 19, 16] [2, 4, 19] [2, 4] ----------- = ------- [8, 19, 16] [8, 16] denominator=, [8, 19, 17] [2, 19, 19] [2, 19] ----------- = ------- [8, 19, 17] [8, 17] denominator=, [8, 19, 18] [4, 9, 19] [4, 9] ----------- = ------- [8, 19, 18] [8, 18] denominator=, [9, 1, 0] [9, 1] [9] --------- = ------ [9, 1, 0] [9, 0] denominator=, [9, 2, 0] [9, 2] [9] --------- = ------ [9, 2, 0] [9, 0] denominator=, [9, 3, 0] [9, 3] [9] --------- = ------ [9, 3, 0] [9, 0] denominator=, [9, 4, 0] [9, 4] [9] --------- = ------ [9, 4, 0] [9, 0] denominator=, [9, 5, 0] [9, 5] [9] --------- = ------ [9, 5, 0] [9, 0] denominator=, [9, 6, 0] [9, 6] [9] --------- = ------ [9, 6, 0] [9, 0] denominator=, [9, 7, 0] [9, 7] [9] --------- = ------ [9, 7, 0] [9, 0] denominator=, [9, 8, 0] [9, 8] [9] --------- = ------ [9, 8, 0] [9, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [9, 10, 0] [9, 10] [9] ---------- = ------ [9, 10, 0] [9, 0] denominator=, [9, 10, 1] [10, 10] [10] ---------- = ------ [9, 10, 1] [9, 1] denominator=, [9, 11, 0] [9, 11] [9] ---------- = ------ [9, 11, 0] [9, 0] denominator=, [9, 11, 2] [11, 11] [11] ---------- = ------ [9, 11, 2] [9, 2] denominator=, [9, 12, 0] [9, 12] [9] ---------- = ------ [9, 12, 0] [9, 0] denominator=, [9, 12, 3] [12, 12] [12] ---------- = ------ [9, 12, 3] [9, 3] denominator=, [9, 13, 0] [9, 13] [9] ---------- = ------ [9, 13, 0] [9, 0] denominator=, [9, 13, 4] [13, 13] [13] ---------- = ------ [9, 13, 4] [9, 4] denominator=, [9, 13, 12] [3, 18, 13] [3, 18] ----------- = ------- [9, 13, 12] [9, 12] denominator=, [9, 14, 0] [9, 14] [9] ---------- = ------ [9, 14, 0] [9, 0] denominator=, [9, 14, 5] [14, 14] [14] ---------- = ------ [9, 14, 5] [9, 5] denominator=, [9, 15, 0] [9, 15] [9] ---------- = ------ [9, 15, 0] [9, 0] denominator=, [9, 15, 6] [15, 15] [15] ---------- = ------ [9, 15, 6] [9, 6] denominator=, [9, 15, 12] [2, 0, 15] [2, 0] ----------- = ------- [9, 15, 12] [9, 12] denominator=, [9, 16, 0] [9, 16] [9] ---------- = ------ [9, 16, 0] [9, 0] denominator=, [9, 16, 7] [16, 16] [16] ---------- = ------ [9, 16, 7] [9, 7] denominator=, [9, 17, 0] [9, 17] [9] ---------- = ------ [9, 17, 0] [9, 0] denominator=, [9, 17, 8] [17, 17] [17] ---------- = ------ [9, 17, 8] [9, 8] denominator=, [9, 18, 0] [9, 18] [9] ---------- = ------ [9, 18, 0] [9, 0] denominator=, [9, 18, 9] [18, 18] [18] ---------- = ------ [9, 18, 9] [9, 9] denominator=, [9, 18, 16] [3, 3, 18] [3, 3] ----------- = ------- [9, 18, 16] [9, 16] denominator=, [9, 19, 0] [9, 19] [9] ---------- = ------ [9, 19, 0] [9, 0] denominator=, [9, 19, 10] [19, 19] [19] ----------- = ------- [9, 19, 10] [9, 10] denominator=, [9, 19, 12] [1, 4, 19] [1, 4] ----------- = ------- [9, 19, 12] [9, 12] denominator=, [9, 19, 15] [1, 19, 19] [1, 19] ----------- = ------- [9, 19, 15] [9, 15] denominator=, [9, 19, 16] [2, 9, 19] [2, 9] ----------- = ------- [9, 19, 16] [9, 16] denominator=, [9, 19, 18] [4, 19, 19] [4, 19] ----------- = ------- [9, 19, 18] [9, 18] denominator=, [10, 1, 0] [10, 1] [10] ---------- = ------- [10, 1, 0] [10, 0] denominator=, [10, 2, 0] [10, 2] [10] ---------- = ------- [10, 2, 0] [10, 0] denominator=, [10, 3, 0] [10, 3] [10] ---------- = ------- [10, 3, 0] [10, 0] denominator=, [10, 4, 0] [10, 4] [10] ---------- = ------- [10, 4, 0] [10, 0] denominator=, [10, 5, 0] [10, 5] [10] ---------- = ------- [10, 5, 0] [10, 0] denominator=, [10, 6, 0] [10, 6] [10] ---------- = ------- [10, 6, 0] [10, 0] denominator=, [10, 7, 0] [10, 7] [10] ---------- = ------- [10, 7, 0] [10, 0] denominator=, [10, 8, 0] [10, 8] [10] ---------- = ------- [10, 8, 0] [10, 0] denominator=, [10, 9, 0] [10, 9] [10] ---------- = ------- [10, 9, 0] [10, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [10, 11, 0] [10, 11] [10] ----------- = ------- [10, 11, 0] [10, 0] denominator=, [10, 11, 1] [11, 11] [11] ----------- = ------- [10, 11, 1] [10, 1] denominator=, [10, 11, 10] [3, 17, 11] [3, 17] ------------ = -------- [10, 11, 10] [10, 10] denominator=, [10, 12, 0] [10, 12] [10] ----------- = ------- [10, 12, 0] [10, 0] denominator=, [10, 12, 2] [12, 12] [12] ----------- = ------- [10, 12, 2] [10, 2] denominator=, [10, 13, 0] [10, 13] [10] ----------- = ------- [10, 13, 0] [10, 0] denominator=, [10, 13, 3] [13, 13] [13] ----------- = ------- [10, 13, 3] [10, 3] denominator=, [10, 13, 10] [1, 19, 13] [1, 19] ------------ = -------- [10, 13, 10] [10, 10] denominator=, [10, 14, 0] [10, 14] [10] ----------- = ------- [10, 14, 0] [10, 0] denominator=, [10, 14, 4] [14, 14] [14] ----------- = ------- [10, 14, 4] [10, 4] denominator=, [10, 15, 0] [10, 15] [10] ----------- = ------- [10, 15, 0] [10, 0] denominator=, [10, 15, 5] [15, 15] [15] ----------- = ------- [10, 15, 5] [10, 5] denominator=, [10, 16, 0] [10, 16] [10] ----------- = ------- [10, 16, 0] [10, 0] denominator=, [10, 16, 6] [16, 16] [16] ----------- = ------- [10, 16, 6] [10, 6] denominator=, [10, 17, 0] [10, 17] [10] ----------- = ------- [10, 17, 0] [10, 0] denominator=, [10, 17, 7] [17, 17] [17] ----------- = ------- [10, 17, 7] [10, 7] denominator=, [10, 17, 16] [5, 2, 17] [5, 2] ------------ = -------- [10, 17, 16] [10, 16] denominator=, [10, 18, 0] [10, 18] [10] ----------- = ------- [10, 18, 0] [10, 0] denominator=, [10, 18, 8] [18, 18] [18] ----------- = ------- [10, 18, 8] [10, 8] denominator=, [10, 19, 0] [10, 19] [10] ----------- = ------- [10, 19, 0] [10, 0] denominator=, [10, 19, 9] [19, 19] [19] ----------- = ------- [10, 19, 9] [10, 9] denominator=, [10, 19, 10] [1, 1, 19] [1, 1] ------------ = -------- [10, 19, 10] [10, 10] denominator=, [10, 19, 15] [2, 3, 19] [2, 3] ------------ = -------- [10, 19, 15] [10, 15] denominator=, [10, 19, 16] [2, 14, 19] [2, 14] ------------ = -------- [10, 19, 16] [10, 16] denominator=, [10, 19, 18] [5, 9, 19] [5, 9] ------------ = -------- [10, 19, 18] [10, 18] denominator=, [11, 1, 0] [11, 1] [11] ---------- = ------- [11, 1, 0] [11, 0] denominator=, [11, 2, 0] [11, 2] [11] ---------- = ------- [11, 2, 0] [11, 0] denominator=, [11, 3, 0] [11, 3] [11] ---------- = ------- [11, 3, 0] [11, 0] denominator=, [11, 4, 0] [11, 4] [11] ---------- = ------- [11, 4, 0] [11, 0] denominator=, [11, 5, 0] [11, 5] [11] ---------- = ------- [11, 5, 0] [11, 0] denominator=, [11, 6, 0] [11, 6] [11] ---------- = ------- [11, 6, 0] [11, 0] denominator=, [11, 6, 5] [2, 14, 6] [2, 14] ---------- = ------- [11, 6, 5] [11, 5] denominator=, [11, 7, 0] [11, 7] [11] ---------- = ------- [11, 7, 0] [11, 0] denominator=, [11, 7, 5] [1, 15, 7] [1, 15] ---------- = ------- [11, 7, 5] [11, 5] denominator=, [11, 8, 0] [11, 8] [11] ---------- = ------- [11, 8, 0] [11, 0] denominator=, [11, 9, 0] [11, 9] [11] ---------- = ------- [11, 9, 0] [11, 0] denominator=, [11, 10, 0] [11, 10] [11] ----------- = ------- [11, 10, 0] [11, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [11, 12, 0] [11, 12] [11] ----------- = ------- [11, 12, 0] [11, 0] denominator=, [11, 12, 1] [12, 12] [12] ----------- = ------- [11, 12, 1] [11, 1] denominator=, [11, 13, 0] [11, 13] [11] ----------- = ------- [11, 13, 0] [11, 0] denominator=, [11, 13, 2] [13, 13] [13] ----------- = ------- [11, 13, 2] [11, 2] denominator=, [11, 14, 0] [11, 14] [11] ----------- = ------- [11, 14, 0] [11, 0] denominator=, [11, 14, 3] [14, 14] [14] ----------- = ------- [11, 14, 3] [11, 3] denominator=, [11, 15, 0] [11, 15] [11] ----------- = ------- [11, 15, 0] [11, 0] denominator=, [11, 15, 4] [15, 15] [15] ----------- = ------- [11, 15, 4] [11, 4] denominator=, [11, 16, 0] [11, 16] [11] ----------- = ------- [11, 16, 0] [11, 0] denominator=, [11, 16, 5] [16, 16] [16] ----------- = ------- [11, 16, 5] [11, 5] denominator=, [11, 17, 0] [11, 17] [11] ----------- = ------- [11, 17, 0] [11, 0] denominator=, [11, 17, 6] [17, 17] [17] ----------- = ------- [11, 17, 6] [11, 6] denominator=, [11, 18, 0] [11, 18] [11] ----------- = ------- [11, 18, 0] [11, 0] denominator=, [11, 18, 7] [18, 18] [18] ----------- = ------- [11, 18, 7] [11, 7] denominator=, [11, 19, 0] [11, 19] [11] ----------- = ------- [11, 19, 0] [11, 0] denominator=, [11, 19, 4] [14, 19] [14] ----------- = ------- [11, 19, 4] [11, 4] denominator=, [11, 19, 5] [15, 19] [15] ----------- = ------- [11, 19, 5] [11, 5] denominator=, [11, 19, 8] [19, 19] [19] ----------- = ------- [11, 19, 8] [11, 8] denominator=, [11, 19, 10] [1, 3, 19] [1, 3] ------------ = -------- [11, 19, 10] [11, 10] denominator=, [11, 19, 12] [1, 9, 19] [1, 9] ------------ = -------- [11, 19, 12] [11, 12] denominator=, [11, 19, 14] [1, 19, 19] [1, 19] ------------ = -------- [11, 19, 14] [11, 14] denominator=, [11, 19, 15] [2, 7, 19] [2, 7] ------------ = -------- [11, 19, 15] [11, 15] denominator=, [11, 19, 16] [2, 19, 19] [2, 19] ------------ = -------- [11, 19, 16] [11, 16] denominator=, [11, 19, 17] [3, 19, 19] [3, 19] ------------ = -------- [11, 19, 17] [11, 17] denominator=, [11, 19, 18] [5, 19, 19] [5, 19] ------------ = -------- [11, 19, 18] [11, 18] denominator=, [12, 1, 0] [12, 1] [12] ---------- = ------- [12, 1, 0] [12, 0] denominator=, [12, 2, 0] [12, 2] [12] ---------- = ------- [12, 2, 0] [12, 0] denominator=, [12, 3, 0] [12, 3] [12] ---------- = ------- [12, 3, 0] [12, 0] denominator=, [12, 3, 2] [1, 13, 3] [1, 13] ---------- = ------- [12, 3, 2] [12, 2] denominator=, [12, 4, 0] [12, 4] [12] ---------- = ------- [12, 4, 0] [12, 0] denominator=, [12, 5, 0] [12, 5] [12] ---------- = ------- [12, 5, 0] [12, 0] denominator=, [12, 6, 0] [12, 6] [12] ---------- = ------- [12, 6, 0] [12, 0] denominator=, [12, 7, 0] [12, 7] [12] ---------- = ------- [12, 7, 0] [12, 0] denominator=, [12, 8, 0] [12, 8] [12] ---------- = ------- [12, 8, 0] [12, 0] denominator=, [12, 9, 0] [12, 9] [12] ---------- = ------- [12, 9, 0] [12, 0] denominator=, [12, 10, 0] [12, 10] [12] ----------- = ------- [12, 10, 0] [12, 0] denominator=, [12, 11, 0] [12, 11] [12] ----------- = ------- [12, 11, 0] [12, 0] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 10] [3, 0, 12] [3, 0] ------------ = -------- [12, 12, 10] [12, 10] denominator=, [12, 13, 0] [12, 13] [12] ----------- = ------- [12, 13, 0] [12, 0] denominator=, [12, 13, 1] [13, 13] [13] ----------- = ------- [12, 13, 1] [12, 1] denominator=, [12, 14, 0] [12, 14] [12] ----------- = ------- [12, 14, 0] [12, 0] denominator=, [12, 14, 2] [14, 14] [14] ----------- = ------- [12, 14, 2] [12, 2] denominator=, [12, 15, 0] [12, 15] [12] ----------- = ------- [12, 15, 0] [12, 0] denominator=, [12, 15, 3] [15, 15] [15] ----------- = ------- [12, 15, 3] [12, 3] denominator=, [12, 16, 0] [12, 16] [12] ----------- = ------- [12, 16, 0] [12, 0] denominator=, [12, 16, 4] [16, 16] [16] ----------- = ------- [12, 16, 4] [12, 4] denominator=, [12, 17, 0] [12, 17] [12] ----------- = ------- [12, 17, 0] [12, 0] denominator=, [12, 17, 5] [17, 17] [17] ----------- = ------- [12, 17, 5] [12, 5] denominator=, [12, 18, 0] [12, 18] [12] ----------- = ------- [12, 18, 0] [12, 0] denominator=, [12, 18, 6] [18, 18] [18] ----------- = ------- [12, 18, 6] [12, 6] denominator=, [12, 19, 0] [12, 19] [12] ----------- = ------- [12, 19, 0] [12, 0] denominator=, [12, 19, 7] [19, 19] [19] ----------- = ------- [12, 19, 7] [12, 7] denominator=, [12, 19, 10] [1, 5, 19] [1, 5] ------------ = -------- [12, 19, 10] [12, 10] denominator=, [12, 19, 15] [2, 11, 19] [2, 11] ------------ = -------- [12, 19, 15] [12, 15] denominator=, [12, 19, 16] [3, 4, 19] [3, 4] ------------ = -------- [12, 19, 16] [12, 16] denominator=, [12, 19, 18] [6, 9, 19] [6, 9] ------------ = -------- [12, 19, 18] [12, 18] denominator=, [13, 1, 0] [13, 1] [13] ---------- = ------- [13, 1, 0] [13, 0] denominator=, [13, 2, 0] [13, 2] [13] ---------- = ------- [13, 2, 0] [13, 0] denominator=, [13, 3, 0] [13, 3] [13] ---------- = ------- [13, 3, 0] [13, 0] denominator=, [13, 4, 0] [13, 4] [13] ---------- = ------- [13, 4, 0] [13, 0] denominator=, [13, 5, 0] [13, 5] [13] ---------- = ------- [13, 5, 0] [13, 0] denominator=, [13, 5, 4] [2, 15, 5] [2, 15] ---------- = ------- [13, 5, 4] [13, 4] denominator=, [13, 6, 0] [13, 6] [13] ---------- = ------- [13, 6, 0] [13, 0] denominator=, [13, 6, 4] [1, 16, 6] [1, 16] ---------- = ------- [13, 6, 4] [13, 4] denominator=, [13, 7, 0] [13, 7] [13] ---------- = ------- [13, 7, 0] [13, 0] denominator=, [13, 8, 0] [13, 8] [13] ---------- = ------- [13, 8, 0] [13, 0] denominator=, [13, 9, 0] [13, 9] [13] ---------- = ------- [13, 9, 0] [13, 0] denominator=, [13, 10, 0] [13, 10] [13] ----------- = ------- [13, 10, 0] [13, 0] denominator=, [13, 11, 0] [13, 11] [13] ----------- = ------- [13, 11, 0] [13, 0] denominator=, [13, 11, 10] [4, 19, 11] [4, 19] ------------ = -------- [13, 11, 10] [13, 10] denominator=, [13, 12, 0] [13, 12] [13] ----------- = ------- [13, 12, 0] [13, 0] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [13, 14, 0] [13, 14] [13] ----------- = ------- [13, 14, 0] [13, 0] denominator=, [13, 14, 1] [14, 14] [14] ----------- = ------- [13, 14, 1] [13, 1] denominator=, [13, 14, 10] [2, 2, 14] [2, 2] ------------ = -------- [13, 14, 10] [13, 10] denominator=, [13, 15, 0] [13, 15] [13] ----------- = ------- [13, 15, 0] [13, 0] denominator=, [13, 15, 2] [15, 15] [15] ----------- = ------- [13, 15, 2] [13, 2] denominator=, [13, 16, 0] [13, 16] [13] ----------- = ------- [13, 16, 0] [13, 0] denominator=, [13, 16, 3] [16, 16] [16] ----------- = ------- [13, 16, 3] [13, 3] denominator=, [13, 17, 0] [13, 17] [13] ----------- = ------- [13, 17, 0] [13, 0] denominator=, [13, 17, 4] [17, 17] [17] ----------- = ------- [13, 17, 4] [13, 4] denominator=, [13, 17, 15] [4, 5, 17] [4, 5] ------------ = -------- [13, 17, 15] [13, 15] denominator=, [13, 18, 0] [13, 18] [13] ----------- = ------- [13, 18, 0] [13, 0] denominator=, [13, 18, 5] [18, 18] [18] ----------- = ------- [13, 18, 5] [13, 5] denominator=, [13, 18, 15] [3, 6, 18] [3, 6] ------------ = -------- [13, 18, 15] [13, 15] denominator=, [13, 19, 0] [13, 19] [13] ----------- = ------- [13, 19, 0] [13, 0] denominator=, [13, 19, 6] [19, 19] [19] ----------- = ------- [13, 19, 6] [13, 6] denominator=, [13, 19, 10] [1, 7, 19] [1, 7] ------------ = -------- [13, 19, 10] [13, 10] denominator=, [13, 19, 12] [1, 14, 19] [1, 14] ------------ = -------- [13, 19, 12] [13, 12] denominator=, [13, 19, 13] [1, 19, 19] [1, 19] ------------ = -------- [13, 19, 13] [13, 13] denominator=, [13, 19, 15] [2, 15, 19] [2, 15] ------------ = -------- [13, 19, 15] [13, 15] denominator=, [13, 19, 16] [3, 9, 19] [3, 9] ------------ = -------- [13, 19, 16] [13, 16] denominator=, [13, 19, 18] [6, 19, 19] [6, 19] ------------ = -------- [13, 19, 18] [13, 18] denominator=, [14, 1, 0] [14, 1] [14] ---------- = ------- [14, 1, 0] [14, 0] denominator=, [14, 2, 0] [14, 2] [14] ---------- = ------- [14, 2, 0] [14, 0] denominator=, [14, 3, 0] [14, 3] [14] ---------- = ------- [14, 3, 0] [14, 0] denominator=, [14, 4, 0] [14, 4] [14] ---------- = ------- [14, 4, 0] [14, 0] denominator=, [14, 5, 0] [14, 5] [14] ---------- = ------- [14, 5, 0] [14, 0] denominator=, [14, 6, 0] [14, 6] [14] ---------- = ------- [14, 6, 0] [14, 0] denominator=, [14, 7, 0] [14, 7] [14] ---------- = ------- [14, 7, 0] [14, 0] denominator=, [14, 7, 6] [3, 17, 7] [3, 17] ---------- = ------- [14, 7, 6] [14, 6] denominator=, [14, 8, 0] [14, 8] [14] ---------- = ------- [14, 8, 0] [14, 0] denominator=, [14, 9, 0] [14, 9] [14] ---------- = ------- [14, 9, 0] [14, 0] denominator=, [14, 9, 6] [1, 19, 9] [1, 19] ---------- = ------- [14, 9, 6] [14, 6] denominator=, [14, 10, 0] [14, 10] [14] ----------- = ------- [14, 10, 0] [14, 0] denominator=, [14, 10, 8] [3, 0, 10] [3, 0] ----------- = ------- [14, 10, 8] [14, 8] denominator=, [14, 11, 0] [14, 11] [14] ----------- = ------- [14, 11, 0] [14, 0] denominator=, [14, 12, 0] [14, 12] [14] ----------- = ------- [14, 12, 0] [14, 0] denominator=, [14, 13, 0] [14, 13] [14] ----------- = ------- [14, 13, 0] [14, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [14, 15, 0] [14, 15] [14] ----------- = ------- [14, 15, 0] [14, 0] denominator=, [14, 15, 1] [15, 15] [15] ----------- = ------- [14, 15, 1] [14, 1] denominator=, [14, 16, 0] [14, 16] [14] ----------- = ------- [14, 16, 0] [14, 0] denominator=, [14, 16, 2] [16, 16] [16] ----------- = ------- [14, 16, 2] [14, 2] denominator=, [14, 17, 0] [14, 17] [14] ----------- = ------- [14, 17, 0] [14, 0] denominator=, [14, 17, 3] [17, 17] [17] ----------- = ------- [14, 17, 3] [14, 3] denominator=, [14, 18, 0] [14, 18] [14] ----------- = ------- [14, 18, 0] [14, 0] denominator=, [14, 18, 4] [18, 18] [18] ----------- = ------- [14, 18, 4] [14, 4] denominator=, [14, 19, 0] [14, 19] [14] ----------- = ------- [14, 19, 0] [14, 0] denominator=, [14, 19, 5] [19, 19] [19] ----------- = ------- [14, 19, 5] [14, 5] denominator=, [14, 19, 8] [1, 4, 19] [1, 4] ----------- = ------- [14, 19, 8] [14, 8] denominator=, [14, 19, 10] [1, 9, 19] [1, 9] ------------ = -------- [14, 19, 10] [14, 10] denominator=, [14, 19, 14] [2, 9, 19] [2, 9] ------------ = -------- [14, 19, 14] [14, 14] denominator=, [14, 19, 15] [2, 19, 19] [2, 19] ------------ = -------- [14, 19, 15] [14, 15] denominator=, [14, 19, 16] [3, 14, 19] [3, 14] ------------ = -------- [14, 19, 16] [14, 16] denominator=, [14, 19, 17] [4, 19, 19] [4, 19] ------------ = -------- [14, 19, 17] [14, 17] denominator=, [14, 19, 18] [7, 9, 19] [7, 9] ------------ = -------- [14, 19, 18] [14, 18] denominator=, [15, 1, 0] [15, 1] [15] ---------- = ------- [15, 1, 0] [15, 0] denominator=, [15, 2, 0] [15, 2] [15] ---------- = ------- [15, 2, 0] [15, 0] denominator=, [15, 3, 0] [15, 3] [15] ---------- = ------- [15, 3, 0] [15, 0] denominator=, [15, 4, 0] [15, 4] [15] ---------- = ------- [15, 4, 0] [15, 0] denominator=, [15, 5, 0] [15, 5] [15] ---------- = ------- [15, 5, 0] [15, 0] denominator=, [15, 6, 0] [15, 6] [15] ---------- = ------- [15, 6, 0] [15, 0] denominator=, [15, 7, 0] [15, 7] [15] ---------- = ------- [15, 7, 0] [15, 0] denominator=, [15, 8, 0] [15, 8] [15] ---------- = ------- [15, 8, 0] [15, 0] denominator=, [15, 9, 0] [15, 9] [15] ---------- = ------- [15, 9, 0] [15, 0] denominator=, [15, 9, 8] [4, 19, 9] [4, 19] ---------- = ------- [15, 9, 8] [15, 8] denominator=, [15, 10, 0] [15, 10] [15] ----------- = ------- [15, 10, 0] [15, 0] denominator=, [15, 11, 0] [15, 11] [15] ----------- = ------- [15, 11, 0] [15, 0] denominator=, [15, 12, 0] [15, 12] [15] ----------- = ------- [15, 12, 0] [15, 0] denominator=, [15, 12, 8] [2, 2, 12] [2, 2] ----------- = ------- [15, 12, 8] [15, 8] denominator=, [15, 13, 0] [15, 13] [15] ----------- = ------- [15, 13, 0] [15, 0] denominator=, [15, 14, 0] [15, 14] [15] ----------- = ------- [15, 14, 0] [15, 0] denominator=, [15, 14, 12] [4, 4, 14] [4, 4] ------------ = -------- [15, 14, 12] [15, 12] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 12] [3, 5, 15] [3, 5] ------------ = -------- [15, 15, 12] [15, 12] denominator=, [15, 16, 0] [15, 16] [15] ----------- = ------- [15, 16, 0] [15, 0] denominator=, [15, 16, 1] [16, 16] [16] ----------- = ------- [15, 16, 1] [15, 1] denominator=, [15, 16, 15] [7, 4, 16] [7, 4] ------------ = -------- [15, 16, 15] [15, 15] denominator=, [15, 17, 0] [15, 17] [15] ----------- = ------- [15, 17, 0] [15, 0] denominator=, [15, 17, 2] [17, 17] [17] ----------- = ------- [15, 17, 2] [15, 2] denominator=, [15, 18, 0] [15, 18] [15] ----------- = ------- [15, 18, 0] [15, 0] denominator=, [15, 18, 3] [18, 18] [18] ----------- = ------- [15, 18, 3] [15, 3] denominator=, [15, 19, 0] [15, 19] [15] ----------- = ------- [15, 19, 0] [15, 0] denominator=, [15, 19, 4] [19, 19] [19] ----------- = ------- [15, 19, 4] [15, 4] denominator=, [15, 19, 10] [1, 11, 19] [1, 11] ------------ = -------- [15, 19, 10] [15, 10] denominator=, [15, 19, 12] [1, 19, 19] [1, 19] ------------ = -------- [15, 19, 12] [15, 12] denominator=, [15, 19, 15] [3, 3, 19] [3, 3] ------------ = -------- [15, 19, 15] [15, 15] denominator=, [15, 19, 16] [3, 19, 19] [3, 19] ------------ = -------- [15, 19, 16] [15, 16] denominator=, [15, 19, 18] [7, 19, 19] [7, 19] ------------ = -------- [15, 19, 18] [15, 18] denominator=, [16, 1, 0] [16, 1] [16] ---------- = ------- [16, 1, 0] [16, 0] denominator=, [16, 2, 0] [16, 2] [16] ---------- = ------- [16, 2, 0] [16, 0] denominator=, [16, 3, 0] [16, 3] [16] ---------- = ------- [16, 3, 0] [16, 0] denominator=, [16, 4, 0] [16, 4] [16] ---------- = ------- [16, 4, 0] [16, 0] denominator=, [16, 5, 0] [16, 5] [16] ---------- = ------- [16, 5, 0] [16, 0] denominator=, [16, 6, 0] [16, 6] [16] ---------- = ------- [16, 6, 0] [16, 0] denominator=, [16, 6, 5] [3, 18, 6] [3, 18] ---------- = ------- [16, 6, 5] [16, 5] denominator=, [16, 7, 0] [16, 7] [16] ---------- = ------- [16, 7, 0] [16, 0] denominator=, [16, 8, 0] [16, 8] [16] ---------- = ------- [16, 8, 0] [16, 0] denominator=, [16, 8, 5] [2, 0, 8] [2, 0] ---------- = ------- [16, 8, 5] [16, 5] denominator=, [16, 9, 0] [16, 9] [16] ---------- = ------- [16, 9, 0] [16, 0] denominator=, [16, 10, 0] [16, 10] [16] ----------- = ------- [16, 10, 0] [16, 0] denominator=, [16, 11, 0] [16, 11] [16] ----------- = ------- [16, 11, 0] [16, 0] denominator=, [16, 11, 10] [6, 1, 11] [6, 1] ------------ = -------- [16, 11, 10] [16, 10] denominator=, [16, 12, 0] [16, 12] [16] ----------- = ------- [16, 12, 0] [16, 0] denominator=, [16, 13, 0] [16, 13] [16] ----------- = ------- [16, 13, 0] [16, 0] denominator=, [16, 14, 0] [16, 14] [16] ----------- = ------- [16, 14, 0] [16, 0] denominator=, [16, 15, 0] [16, 15] [16] ----------- = ------- [16, 15, 0] [16, 0] denominator=, [16, 15, 10] [2, 5, 15] [2, 5] ------------ = -------- [16, 15, 10] [16, 10] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [16, 17, 0] [16, 17] [16] ----------- = ------- [16, 17, 0] [16, 0] denominator=, [16, 17, 1] [17, 17] [17] ----------- = ------- [16, 17, 1] [16, 1] denominator=, [16, 18, 0] [16, 18] [16] ----------- = ------- [16, 18, 0] [16, 0] denominator=, [16, 18, 2] [18, 18] [18] ----------- = ------- [16, 18, 2] [16, 2] denominator=, [16, 18, 16] [5, 8, 18] [5, 8] ------------ = -------- [16, 18, 16] [16, 16] denominator=, [16, 19, 0] [16, 19] [16] ----------- = ------- [16, 19, 0] [16, 0] denominator=, [16, 19, 3] [19, 19] [19] ----------- = ------- [16, 19, 3] [16, 3] denominator=, [16, 19, 10] [1, 13, 19] [1, 13] ------------ = -------- [16, 19, 10] [16, 10] denominator=, [16, 19, 15] [3, 7, 19] [3, 7] ------------ = -------- [16, 19, 15] [16, 15] denominator=, [16, 19, 16] [4, 4, 19] [4, 4] ------------ = -------- [16, 19, 16] [16, 16] denominator=, [16, 19, 18] [8, 9, 19] [8, 9] ------------ = -------- [16, 19, 18] [16, 18] denominator=, [17, 1, 0] [17, 1] [17] ---------- = ------- [17, 1, 0] [17, 0] denominator=, [17, 2, 0] [17, 2] [17] ---------- = ------- [17, 2, 0] [17, 0] denominator=, [17, 3, 0] [17, 3] [17] ---------- = ------- [17, 3, 0] [17, 0] denominator=, [17, 4, 0] [17, 4] [17] ---------- = ------- [17, 4, 0] [17, 0] denominator=, [17, 5, 0] [17, 5] [17] ---------- = ------- [17, 5, 0] [17, 0] denominator=, [17, 6, 0] [17, 6] [17] ---------- = ------- [17, 6, 0] [17, 0] denominator=, [17, 7, 0] [17, 7] [17] ---------- = ------- [17, 7, 0] [17, 0] denominator=, [17, 8, 0] [17, 8] [17] ---------- = ------- [17, 8, 0] [17, 0] denominator=, [17, 9, 0] [17, 9] [17] ---------- = ------- [17, 9, 0] [17, 0] denominator=, [17, 10, 0] [17, 10] [17] ----------- = ------- [17, 10, 0] [17, 0] denominator=, [17, 11, 0] [17, 11] [17] ----------- = ------- [17, 11, 0] [17, 0] denominator=, [17, 12, 0] [17, 12] [17] ----------- = ------- [17, 12, 0] [17, 0] denominator=, [17, 12, 10] [4, 4, 12] [4, 4] ------------ = -------- [17, 12, 10] [17, 10] denominator=, [17, 13, 0] [17, 13] [17] ----------- = ------- [17, 13, 0] [17, 0] denominator=, [17, 13, 10] [3, 5, 13] [3, 5] ------------ = -------- [17, 13, 10] [17, 10] denominator=, [17, 13, 12] [7, 3, 13] [7, 3] ------------ = -------- [17, 13, 12] [17, 12] denominator=, [17, 14, 0] [17, 14] [17] ----------- = ------- [17, 14, 0] [17, 0] denominator=, [17, 15, 0] [17, 15] [17] ----------- = ------- [17, 15, 0] [17, 0] denominator=, [17, 16, 0] [17, 16] [17] ----------- = ------- [17, 16, 0] [17, 0] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [17, 18, 0] [17, 18] [17] ----------- = ------- [17, 18, 0] [17, 0] denominator=, [17, 18, 1] [18, 18] [18] ----------- = ------- [17, 18, 1] [17, 1] denominator=, [17, 18, 12] [2, 8, 18] [2, 8] ------------ = -------- [17, 18, 12] [17, 12] denominator=, [17, 19, 0] [17, 19] [17] ----------- = ------- [17, 19, 0] [17, 0] denominator=, [17, 19, 2] [19, 19] [19] ----------- = ------- [17, 19, 2] [17, 2] denominator=, [17, 19, 5] [1, 3, 19] [1, 3] ----------- = ------- [17, 19, 5] [17, 5] denominator=, [17, 19, 8] [1, 9, 19] [1, 9] ----------- = ------- [17, 19, 8] [17, 8] denominator=, [17, 19, 10] [1, 15, 19] [1, 15] ------------ = -------- [17, 19, 10] [17, 10] denominator=, [17, 19, 11] [1, 19, 19] [1, 19] ------------ = -------- [17, 19, 11] [17, 11] denominator=, [17, 19, 12] [2, 4, 19] [2, 4] ------------ = -------- [17, 19, 12] [17, 12] denominator=, [17, 19, 14] [2, 19, 19] [2, 19] ------------ = -------- [17, 19, 14] [17, 14] denominator=, [17, 19, 15] [3, 11, 19] [3, 11] ------------ = -------- [17, 19, 15] [17, 15] denominator=, [17, 19, 16] [4, 9, 19] [4, 9] ------------ = -------- [17, 19, 16] [17, 16] denominator=, [17, 19, 17] [5, 19, 19] [5, 19] ------------ = -------- [17, 19, 17] [17, 17] denominator=, [17, 19, 18] [8, 19, 19] [8, 19] ------------ = -------- [17, 19, 18] [17, 18] denominator=, [18, 1, 0] [18, 1] [18] ---------- = ------- [18, 1, 0] [18, 0] denominator=, [18, 2, 0] [18, 2] [18] ---------- = ------- [18, 2, 0] [18, 0] denominator=, [18, 3, 0] [18, 3] [18] ---------- = ------- [18, 3, 0] [18, 0] denominator=, [18, 4, 0] [18, 4] [18] ---------- = ------- [18, 4, 0] [18, 0] denominator=, [18, 5, 0] [18, 5] [18] ---------- = ------- [18, 5, 0] [18, 0] denominator=, [18, 6, 0] [18, 6] [18] ---------- = ------- [18, 6, 0] [18, 0] denominator=, [18, 7, 0] [18, 7] [18] ---------- = ------- [18, 7, 0] [18, 0] denominator=, [18, 8, 0] [18, 8] [18] ---------- = ------- [18, 8, 0] [18, 0] denominator=, [18, 9, 0] [18, 9] [18] ---------- = ------- [18, 9, 0] [18, 0] denominator=, [18, 10, 0] [18, 10] [18] ----------- = ------- [18, 10, 0] [18, 0] denominator=, [18, 11, 0] [18, 11] [18] ----------- = ------- [18, 11, 0] [18, 0] denominator=, [18, 12, 0] [18, 12] [18] ----------- = ------- [18, 12, 0] [18, 0] denominator=, [18, 13, 0] [18, 13] [18] ----------- = ------- [18, 13, 0] [18, 0] denominator=, [18, 14, 0] [18, 14] [18] ----------- = ------- [18, 14, 0] [18, 0] denominator=, [18, 15, 0] [18, 15] [18] ----------- = ------- [18, 15, 0] [18, 0] denominator=, [18, 15, 14] [8, 5, 15] [8, 5] ------------ = -------- [18, 15, 14] [18, 14] denominator=, [18, 16, 0] [18, 16] [18] ----------- = ------- [18, 16, 0] [18, 0] denominator=, [18, 17, 0] [18, 17] [18] ----------- = ------- [18, 17, 0] [18, 0] denominator=, [18, 18, 0] [18, 18] [18] ----------- = ------- [18, 18, 0] [18, 0] denominator=, [18, 18, 15] [4, 10, 18] [4, 10] ------------ = -------- [18, 18, 15] [18, 15] denominator=, [18, 19, 0] [18, 19] [18] ----------- = ------- [18, 19, 0] [18, 0] denominator=, [18, 19, 1] [19, 19] [19] ----------- = ------- [18, 19, 1] [18, 1] denominator=, [18, 19, 10] [1, 17, 19] [1, 17] ------------ = -------- [18, 19, 10] [18, 10] denominator=, [18, 19, 15] [3, 15, 19] [3, 15] ------------ = -------- [18, 19, 15] [18, 15] denominator=, [18, 19, 16] [4, 14, 19] [4, 14] ------------ = -------- [18, 19, 16] [18, 16] denominator=, [18, 19, 18] [9, 9, 19] [9, 9] ------------ = -------- [18, 19, 18] [18, 18] denominator=, [19, 1, 0] [19, 1] [19] ---------- = ------- [19, 1, 0] [19, 0] denominator=, [19, 2, 0] [19, 2] [19] ---------- = ------- [19, 2, 0] [19, 0] denominator=, [19, 3, 0] [19, 3] [19] ---------- = ------- [19, 3, 0] [19, 0] denominator=, [19, 4, 0] [19, 4] [19] ---------- = ------- [19, 4, 0] [19, 0] denominator=, [19, 5, 0] [19, 5] [19] ---------- = ------- [19, 5, 0] [19, 0] denominator=, [19, 5, 4] [4, 0, 5] [4, 0] ---------- = ------- [19, 5, 4] [19, 4] denominator=, [19, 6, 0] [19, 6] [19] ---------- = ------- [19, 6, 0] [19, 0] denominator=, [19, 7, 0] [19, 7] [19] ---------- = ------- [19, 7, 0] [19, 0] denominator=, [19, 7, 4] [2, 2, 7] [2, 2] ---------- = ------- [19, 7, 4] [19, 4] denominator=, [19, 8, 0] [19, 8] [19] ---------- = ------- [19, 8, 0] [19, 0] denominator=, [19, 9, 0] [19, 9] [19] ---------- = ------- [19, 9, 0] [19, 0] denominator=, [19, 10, 0] [19, 10] [19] ----------- = ------- [19, 10, 0] [19, 0] denominator=, [19, 11, 0] [19, 11] [19] ----------- = ------- [19, 11, 0] [19, 0] denominator=, [19, 11, 10] [7, 3, 11] [7, 3] ------------ = -------- [19, 11, 10] [19, 10] denominator=, [19, 12, 0] [19, 12] [19] ----------- = ------- [19, 12, 0] [19, 0] denominator=, [19, 13, 0] [19, 13] [19] ----------- = ------- [19, 13, 0] [19, 0] denominator=, [19, 14, 0] [19, 14] [19] ----------- = ------- [19, 14, 0] [19, 0] denominator=, [19, 15, 0] [19, 15] [19] ----------- = ------- [19, 15, 0] [19, 0] denominator=, [19, 16, 0] [19, 16] [19] ----------- = ------- [19, 16, 0] [19, 0] denominator=, [19, 16, 10] [2, 8, 16] [2, 8] ------------ = -------- [19, 16, 10] [19, 10] denominator=, [19, 17, 0] [19, 17] [19] ----------- = ------- [19, 17, 0] [19, 0] denominator=, [19, 17, 16] [9, 7, 17] [9, 7] ------------ = -------- [19, 17, 16] [19, 16] denominator=, [19, 18, 0] [19, 18] [19] ----------- = ------- [19, 18, 0] [19, 0] denominator=, [19, 19, 0] [19, 19] [19] ----------- = ------- [19, 19, 0] [19, 0] denominator=, [19, 19, 4] [1, 4, 19] [1, 4] ----------- = ------- [19, 19, 4] [19, 4] denominator=, [19, 19, 10] [1, 19, 19] [1, 19] ------------ = -------- [19, 19, 10] [19, 10] denominator=, [19, 19, 12] [2, 9, 19] [2, 9] ------------ = -------- [19, 19, 12] [19, 12] denominator=, [19, 19, 15] [3, 19, 19] [3, 19] ------------ = -------- [19, 19, 15] [19, 15] denominator=, [19, 19, 16] [4, 19, 19] [4, 19] ------------ = -------- [19, 19, 16] [19, 16] denominator=, [19, 19, 18] [9, 19, 19] [9, 19] ------------ = -------- [19, 19, 18] [19, 18] ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 19, 0] [19, 10] [10] ---------- = ------ [1, 19, 0] [1, 0] denominator=, [1, 19, 2] [19, 11] [11] ---------- = ------ [1, 19, 2] [1, 2] denominator=, [1, 19, 4] [19, 12] [12] ---------- = ------ [1, 19, 4] [1, 4] denominator=, [1, 19, 6] [19, 13] [13] ---------- = ------ [1, 19, 6] [1, 6] denominator=, [1, 19, 8] [19, 14] [14] ---------- = ------ [1, 19, 8] [1, 8] [2, 19, 2] [2, 2] ---------- = ------ [1, 19, 8] [1, 8] denominator=, [1, 19, 10] [19, 15] [15] ----------- = ------- [1, 19, 10] [1, 10] [2, 19, 5] [2, 5] ----------- = ------- [1, 19, 10] [1, 10] denominator=, [1, 19, 12] [19, 16] [16] ----------- = ------- [1, 19, 12] [1, 12] [2, 19, 8] [2, 8] ----------- = ------- [1, 19, 12] [1, 12] [4, 19, 0] [4, 0] ----------- = ------- [1, 19, 12] [1, 12] denominator=, [1, 19, 14] [19, 17] [17] ----------- = ------- [1, 19, 14] [1, 14] [2, 19, 11] [2, 11] ----------- = ------- [1, 19, 14] [1, 14] [4, 19, 5] [4, 5] ----------- = ------- [1, 19, 14] [1, 14] denominator=, [1, 19, 16] [19, 18] [18] ----------- = ------- [1, 19, 16] [1, 16] [2, 19, 14] [2, 14] ----------- = ------- [1, 19, 16] [1, 16] [4, 19, 10] [4, 10] ----------- = ------- [1, 19, 16] [1, 16] [6, 19, 6] [6, 6] ----------- = ------- [1, 19, 16] [1, 16] [8, 19, 2] [8, 2] ----------- = ------- [1, 19, 16] [1, 16] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 4] [1, 3, 4, 2] [1, 3, 2] ------------ = --------- [2, 4, 4] [2, 4] denominator=, [2, 6, 6] [1, 4, 6, 3] [1, 4, 3] ------------ = --------- [2, 6, 6] [2, 6] denominator=, [2, 8, 8] [1, 5, 8, 4] [1, 5, 4] ------------ = --------- [2, 8, 8] [2, 8] denominator=, [2, 10, 10] [1, 6, 10, 5] [1, 6, 5] ------------- = --------- [2, 10, 10] [2, 10] denominator=, [2, 12, 12] [1, 7, 12, 6] [1, 7, 6] ------------- = --------- [2, 12, 12] [2, 12] denominator=, [2, 14, 14] [1, 8, 14, 7] [1, 8, 7] ------------- = --------- [2, 14, 14] [2, 14] denominator=, [2, 16, 16] [1, 9, 16, 8] [1, 9, 8] ------------- = --------- [2, 16, 16] [2, 16] denominator=, [2, 18, 18] [1, 10, 18, 9] [1, 10, 9] -------------- = ---------- [2, 18, 18] [2, 18] denominator=, [2, 19, 2] [19, 14] [14] ---------- = ------ [2, 19, 2] [2, 2] [1, 19, 8] [1, 8] ---------- = ------ [2, 19, 2] [2, 2] denominator=, [2, 19, 5] [19, 15] [15] ---------- = ------ [2, 19, 5] [2, 5] [1, 19, 10] [1, 10] ----------- = ------- [2, 19, 5] [2, 5] [3, 19, 0] [3, 0] ---------- = ------ [2, 19, 5] [2, 5] denominator=, [2, 19, 8] [19, 16] [16] ---------- = ------ [2, 19, 8] [2, 8] [1, 19, 12] [1, 12] ----------- = ------- [2, 19, 8] [2, 8] [3, 19, 4] [3, 4] ---------- = ------ [2, 19, 8] [2, 8] [4, 19, 0] [4, 0] ---------- = ------ [2, 19, 8] [2, 8] denominator=, [2, 19, 11] [19, 17] [17] ----------- = ------- [2, 19, 11] [2, 11] [1, 19, 14] [1, 14] ----------- = ------- [2, 19, 11] [2, 11] [3, 19, 8] [3, 8] ----------- = ------- [2, 19, 11] [2, 11] [4, 19, 5] [4, 5] ----------- = ------- [2, 19, 11] [2, 11] denominator=, [2, 19, 14] [19, 18] [18] ----------- = ------- [2, 19, 14] [2, 14] [1, 19, 16] [1, 16] ----------- = ------- [2, 19, 14] [2, 14] [3, 19, 12] [3, 12] ----------- = ------- [2, 19, 14] [2, 14] [4, 19, 10] [4, 10] ----------- = ------- [2, 19, 14] [2, 14] [6, 19, 6] [6, 6] ----------- = ------- [2, 19, 14] [2, 14] [7, 19, 4] [7, 4] ----------- = ------- [2, 19, 14] [2, 14] [9, 19, 0] [9, 0] ----------- = ------- [2, 19, 14] [2, 14] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4] [1, 4, 4] ------------ = --------- [3, 6, 6] [3, 6] [2, 5, 6, 2] [2, 5, 2] ------------ = --------- [3, 6, 6] [3, 6] denominator=, [3, 9, 9] [1, 5, 9, 6] [1, 5, 6] ------------ = --------- [3, 9, 9] [3, 9] [2, 7, 9, 3] [2, 7, 3] ------------ = --------- [3, 9, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8] [1, 6, 8] ------------- = --------- [3, 12, 12] [3, 12] [2, 9, 12, 4] [2, 9, 4] ------------- = --------- [3, 12, 12] [3, 12] denominator=, [3, 15, 15] [1, 7, 15, 10] [1, 7, 10] -------------- = ---------- [3, 15, 15] [3, 15] [2, 11, 15, 5] [2, 11, 5] -------------- = ---------- [3, 15, 15] [3, 15] denominator=, [3, 18, 18] [1, 8, 18, 12] [1, 8, 12] -------------- = ---------- [3, 18, 18] [3, 18] [2, 13, 18, 6] [2, 13, 6] -------------- = ---------- [3, 18, 18] [3, 18] denominator=, [3, 19, 0] [19, 15] [15] ---------- = ------ [3, 19, 0] [3, 0] [1, 19, 10] [1, 10] ----------- = ------- [3, 19, 0] [3, 0] [2, 19, 5] [2, 5] ---------- = ------ [3, 19, 0] [3, 0] denominator=, [3, 19, 2] [1, 19, 11] [1, 11] ----------- = ------- [3, 19, 2] [3, 2] denominator=, [3, 19, 4] [19, 16] [16] ---------- = ------ [3, 19, 4] [3, 4] [1, 19, 12] [1, 12] ----------- = ------- [3, 19, 4] [3, 4] [2, 19, 8] [2, 8] ---------- = ------ [3, 19, 4] [3, 4] [4, 19, 0] [4, 0] ---------- = ------ [3, 19, 4] [3, 4] denominator=, [3, 19, 6] [1, 19, 13] [1, 13] ----------- = ------- [3, 19, 6] [3, 6] denominator=, [3, 19, 8] [19, 17] [17] ---------- = ------ [3, 19, 8] [3, 8] [1, 19, 14] [1, 14] ----------- = ------- [3, 19, 8] [3, 8] [2, 19, 11] [2, 11] ----------- = ------- [3, 19, 8] [3, 8] [4, 19, 5] [4, 5] ---------- = ------ [3, 19, 8] [3, 8] [5, 19, 2] [5, 2] ---------- = ------ [3, 19, 8] [3, 8] denominator=, [3, 19, 10] [1, 19, 15] [1, 15] ----------- = ------- [3, 19, 10] [3, 10] [5, 19, 5] [5, 5] ----------- = ------- [3, 19, 10] [3, 10] denominator=, [3, 19, 12] [19, 18] [18] ----------- = ------- [3, 19, 12] [3, 12] [1, 19, 16] [1, 16] ----------- = ------- [3, 19, 12] [3, 12] [2, 19, 14] [2, 14] ----------- = ------- [3, 19, 12] [3, 12] [4, 19, 10] [4, 10] ----------- = ------- [3, 19, 12] [3, 12] [5, 19, 8] [5, 8] ----------- = ------- [3, 19, 12] [3, 12] [6, 19, 6] [6, 6] ----------- = ------- [3, 19, 12] [3, 12] [8, 19, 2] [8, 2] ----------- = ------- [3, 19, 12] [3, 12] [9, 19, 0] [9, 0] ----------- = ------- [3, 19, 12] [3, 12] denominator=, [3, 19, 14] [1, 19, 17] [1, 17] ----------- = ------- [3, 19, 14] [3, 14] [5, 19, 11] [5, 11] ----------- = ------- [3, 19, 14] [3, 14] [9, 19, 5] [9, 5] ----------- = ------- [3, 19, 14] [3, 14] denominator=, [3, 19, 18] [1, 19, 19] [1, 19] ----------- = ------- [3, 19, 18] [3, 18] [5, 19, 17] [5, 17] ----------- = ------- [3, 19, 18] [3, 18] [9, 19, 15] [9, 15] ----------- = ------- [3, 19, 18] [3, 18] [13, 19, 13] [13, 13] ------------ = -------- [3, 19, 18] [3, 18] [17, 19, 11] [17, 11] ------------ = -------- [3, 19, 18] [3, 18] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [3, 19, 18] [3, 18] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [3, 19, 18] [3, 18] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [3, 19, 18] [3, 18] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [3, 19, 18] [3, 18] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [3, 19, 18] [3, 18] denominator=, [4, 2, 2] [2, 3, 2, 1] [2, 3, 1] ------------ = --------- [4, 2, 2] [4, 2] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 6, 6] [2, 5, 6, 3] [2, 5, 3] ------------ = --------- [4, 6, 6] [4, 6] denominator=, [4, 8, 8] [1, 5, 8, 6] [1, 5, 6] ------------ = --------- [4, 8, 8] [4, 8] [2, 6, 8, 4] [2, 6, 4] ------------ = --------- [4, 8, 8] [4, 8] [3, 7, 8, 2] [3, 7, 2] ------------ = --------- [4, 8, 8] [4, 8] denominator=, [4, 10, 10] [2, 7, 10, 5] [2, 7, 5] ------------- = --------- [4, 10, 10] [4, 10] denominator=, [4, 11, 10] [1, 13, 11, 0] [1, 13, 0] -------------- = ---------- [4, 11, 10] [4, 10] denominator=, [4, 12, 12] [1, 6, 12, 9] [1, 6, 9] ------------- = --------- [4, 12, 12] [4, 12] [2, 8, 12, 6] [2, 8, 6] ------------- = --------- [4, 12, 12] [4, 12] [3, 10, 12, 3] [3, 10, 3] -------------- = ---------- [4, 12, 12] [4, 12] denominator=, [4, 14, 13] [1, 14, 14, 2] [1, 14, 2] -------------- = ---------- [4, 14, 13] [4, 13] denominator=, [4, 14, 14] [2, 9, 14, 7] [2, 9, 7] ------------- = --------- [4, 14, 14] [4, 14] denominator=, [4, 16, 16] [1, 7, 16, 12] [1, 7, 12] -------------- = ---------- [4, 16, 16] [4, 16] [2, 10, 16, 8] [2, 10, 8] -------------- = ---------- [4, 16, 16] [4, 16] [3, 13, 16, 4] [3, 13, 4] -------------- = ---------- [4, 16, 16] [4, 16] denominator=, [4, 17, 16] [1, 15, 17, 4] [1, 15, 4] -------------- = ---------- [4, 17, 16] [4, 16] denominator=, [4, 18, 18] [2, 11, 18, 9] [2, 11, 9] -------------- = ---------- [4, 18, 18] [4, 18] denominator=, [4, 19, 0] [19, 16] [16] ---------- = ------ [4, 19, 0] [4, 0] [1, 19, 12] [1, 12] ----------- = ------- [4, 19, 0] [4, 0] [2, 19, 8] [2, 8] ---------- = ------ [4, 19, 0] [4, 0] [3, 19, 4] [3, 4] ---------- = ------ [4, 19, 0] [4, 0] denominator=, [4, 19, 5] [19, 17] [17] ---------- = ------ [4, 19, 5] [4, 5] [1, 19, 14] [1, 14] ----------- = ------- [4, 19, 5] [4, 5] [2, 19, 11] [2, 11] ----------- = ------- [4, 19, 5] [4, 5] [3, 19, 8] [3, 8] ---------- = ------ [4, 19, 5] [4, 5] [5, 19, 2] [5, 2] ---------- = ------ [4, 19, 5] [4, 5] denominator=, [4, 19, 10] [19, 18] [18] ----------- = ------- [4, 19, 10] [4, 10] [1, 19, 16] [1, 16] ----------- = ------- [4, 19, 10] [4, 10] [2, 19, 14] [2, 14] ----------- = ------- [4, 19, 10] [4, 10] [3, 19, 12] [3, 12] ----------- = ------- [4, 19, 10] [4, 10] [5, 19, 8] [5, 8] ----------- = ------- [4, 19, 10] [4, 10] [6, 19, 6] [6, 6] ----------- = ------- [4, 19, 10] [4, 10] [7, 19, 4] [7, 4] ----------- = ------- [4, 19, 10] [4, 10] [8, 19, 2] [8, 2] ----------- = ------- [4, 19, 10] [4, 10] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 9, 8] [1, 11, 9, 1] [1, 11, 1] ------------- = ---------- [5, 9, 8] [5, 8] denominator=, [5, 10, 10] [1, 6, 10, 8] [1, 6, 8] ------------- = --------- [5, 10, 10] [5, 10] [2, 7, 10, 6] [2, 7, 6] ------------- = --------- [5, 10, 10] [5, 10] [3, 8, 10, 4] [3, 8, 4] ------------- = --------- [5, 10, 10] [5, 10] [4, 9, 10, 2] [4, 9, 2] ------------- = --------- [5, 10, 10] [5, 10] denominator=, [5, 13, 12] [1, 12, 13, 4] [1, 12, 4] -------------- = ---------- [5, 13, 12] [5, 12] denominator=, [5, 15, 15] [1, 7, 15, 12] [1, 7, 12] -------------- = ---------- [5, 15, 15] [5, 15] [2, 9, 15, 9] [2, 9, 9] ------------- = --------- [5, 15, 15] [5, 15] [3, 11, 15, 6] [3, 11, 6] -------------- = ---------- [5, 15, 15] [5, 15] [4, 13, 15, 3] [4, 13, 3] -------------- = ---------- [5, 15, 15] [5, 15] denominator=, [5, 17, 16] [1, 13, 17, 7] [1, 13, 7] -------------- = ---------- [5, 17, 16] [5, 16] denominator=, [5, 19, 0] [2, 19, 10] [2, 10] ----------- = ------- [5, 19, 0] [5, 0] denominator=, [5, 19, 2] [19, 17] [17] ---------- = ------ [5, 19, 2] [5, 2] [1, 19, 14] [1, 14] ----------- = ------- [5, 19, 2] [5, 2] [2, 19, 11] [2, 11] ----------- = ------- [5, 19, 2] [5, 2] [3, 19, 8] [3, 8] ---------- = ------ [5, 19, 2] [5, 2] [4, 19, 5] [4, 5] ---------- = ------ [5, 19, 2] [5, 2] denominator=, [5, 19, 4] [2, 19, 12] [2, 12] ----------- = ------- [5, 19, 4] [5, 4] denominator=, [5, 19, 5] [1, 19, 15] [1, 15] ----------- = ------- [5, 19, 5] [5, 5] [3, 19, 10] [3, 10] ----------- = ------- [5, 19, 5] [5, 5] [7, 19, 0] [7, 0] ---------- = ------ [5, 19, 5] [5, 5] denominator=, [5, 19, 6] [2, 19, 13] [2, 13] ----------- = ------- [5, 19, 6] [5, 6] denominator=, [5, 19, 8] [19, 18] [18] ---------- = ------ [5, 19, 8] [5, 8] [1, 19, 16] [1, 16] ----------- = ------- [5, 19, 8] [5, 8] [2, 19, 14] [2, 14] ----------- = ------- [5, 19, 8] [5, 8] [3, 19, 12] [3, 12] ----------- = ------- [5, 19, 8] [5, 8] [4, 19, 10] [4, 10] ----------- = ------- [5, 19, 8] [5, 8] [6, 19, 6] [6, 6] ---------- = ------ [5, 19, 8] [5, 8] [7, 19, 4] [7, 4] ---------- = ------ [5, 19, 8] [5, 8] [8, 19, 2] [8, 2] ---------- = ------ [5, 19, 8] [5, 8] [9, 19, 0] [9, 0] ---------- = ------ [5, 19, 8] [5, 8] denominator=, [5, 19, 10] [2, 19, 15] [2, 15] ----------- = ------- [5, 19, 10] [5, 10] [8, 19, 5] [8, 5] ----------- = ------- [5, 19, 10] [5, 10] denominator=, [5, 19, 11] [1, 19, 17] [1, 17] ----------- = ------- [5, 19, 11] [5, 11] [3, 19, 14] [3, 14] ----------- = ------- [5, 19, 11] [5, 11] [7, 19, 8] [7, 8] ----------- = ------- [5, 19, 11] [5, 11] [9, 19, 5] [9, 5] ----------- = ------- [5, 19, 11] [5, 11] denominator=, [5, 19, 12] [2, 19, 16] [2, 16] ----------- = ------- [5, 19, 12] [5, 12] [8, 19, 8] [8, 8] ----------- = ------- [5, 19, 12] [5, 12] [14, 19, 0] [14, 0] ----------- = ------- [5, 19, 12] [5, 12] denominator=, [5, 19, 16] [2, 19, 18] [2, 18] ----------- = ------- [5, 19, 16] [5, 16] [8, 19, 14] [8, 14] ----------- = ------- [5, 19, 16] [5, 16] [14, 19, 10] [14, 10] ------------ = -------- [5, 19, 16] [5, 16] [1, 0, 19, 6] [1, 0, 6] ------------- = --------- [5, 19, 16] [5, 16] [1, 6, 19, 2] [1, 6, 2] ------------- = --------- [5, 19, 16] [5, 16] denominator=, [5, 19, 17] [1, 19, 19] [1, 19] ----------- = ------- [5, 19, 17] [5, 17] [3, 19, 18] [3, 18] ----------- = ------- [5, 19, 17] [5, 17] [7, 19, 16] [7, 16] ----------- = ------- [5, 19, 17] [5, 17] [9, 19, 15] [9, 15] ----------- = ------- [5, 19, 17] [5, 17] [13, 19, 13] [13, 13] ------------ = -------- [5, 19, 17] [5, 17] [15, 19, 12] [15, 12] ------------ = -------- [5, 19, 17] [5, 17] [19, 19, 10] [19, 10] ------------ = -------- [5, 19, 17] [5, 17] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [5, 19, 17] [5, 17] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [5, 19, 17] [5, 17] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [5, 19, 17] [5, 17] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [5, 19, 17] [5, 17] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [5, 19, 17] [5, 17] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [5, 19, 17] [5, 17] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [5, 19, 17] [5, 17] denominator=, [5, 19, 18] [2, 19, 19] [2, 19] ----------- = ------- [5, 19, 18] [5, 18] [8, 19, 17] [8, 17] ----------- = ------- [5, 19, 18] [5, 18] [14, 19, 15] [14, 15] ------------ = -------- [5, 19, 18] [5, 18] [1, 0, 19, 13] [1, 0, 13] -------------- = ---------- [5, 19, 18] [5, 18] [1, 6, 19, 11] [1, 6, 11] -------------- = ---------- [5, 19, 18] [5, 18] [1, 12, 19, 9] [1, 12, 9] -------------- = ---------- [5, 19, 18] [5, 18] [1, 18, 19, 7] [1, 18, 7] -------------- = ---------- [5, 19, 18] [5, 18] [2, 4, 19, 5] [2, 4, 5] ------------- = --------- [5, 19, 18] [5, 18] [2, 10, 19, 3] [2, 10, 3] -------------- = ---------- [5, 19, 18] [5, 18] [2, 16, 19, 1] [2, 16, 1] -------------- = ---------- [5, 19, 18] [5, 18] denominator=, [6, 2, 2] [3, 4, 2, 1] [3, 4, 1] ------------ = --------- [6, 2, 2] [6, 2] denominator=, [6, 3, 3] [2, 5, 3, 2] [2, 5, 2] ------------ = --------- [6, 3, 3] [6, 3] [4, 4, 3, 1] [4, 4, 1] ------------ = --------- [6, 3, 3] [6, 3] denominator=, [6, 4, 4] [3, 5, 4, 2] [3, 5, 2] ------------ = --------- [6, 4, 4] [6, 4] denominator=, [6, 6, 5] [1, 10, 6, 0] [1, 10, 0] ------------- = ---------- [6, 6, 5] [6, 5] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 8, 8] [3, 7, 8, 4] [3, 7, 4] ------------ = --------- [6, 8, 8] [6, 8] denominator=, [6, 9, 9] [2, 7, 9, 6] [2, 7, 6] ------------ = --------- [6, 9, 9] [6, 9] [4, 8, 9, 3] [4, 8, 3] ------------ = --------- [6, 9, 9] [6, 9] denominator=, [6, 10, 10] [3, 8, 10, 5] [3, 8, 5] ------------- = --------- [6, 10, 10] [6, 10] denominator=, [6, 11, 10] [1, 11, 11, 4] [1, 11, 4] -------------- = ---------- [6, 11, 10] [6, 10] denominator=, [6, 12, 12] [1, 7, 12, 10] [1, 7, 10] -------------- = ---------- [6, 12, 12] [6, 12] [2, 8, 12, 8] [2, 8, 8] ------------- = --------- [6, 12, 12] [6, 12] [3, 9, 12, 6] [3, 9, 6] ------------- = --------- [6, 12, 12] [6, 12] [4, 10, 12, 4] [4, 10, 4] -------------- = ---------- [6, 12, 12] [6, 12] [5, 11, 12, 2] [5, 11, 2] -------------- = ---------- [6, 12, 12] [6, 12] denominator=, [6, 14, 14] [3, 10, 14, 7] [3, 10, 7] -------------- = ---------- [6, 14, 14] [6, 14] denominator=, [6, 15, 15] [2, 9, 15, 10] [2, 9, 10] -------------- = ---------- [6, 15, 15] [6, 15] [4, 12, 15, 5] [4, 12, 5] -------------- = ---------- [6, 15, 15] [6, 15] denominator=, [6, 16, 15] [1, 12, 16, 8] [1, 12, 8] -------------- = ---------- [6, 16, 15] [6, 15] [2, 18, 16, 1] [2, 18, 1] -------------- = ---------- [6, 16, 15] [6, 15] denominator=, [6, 16, 16] [3, 11, 16, 8] [3, 11, 8] -------------- = ---------- [6, 16, 16] [6, 16] denominator=, [6, 18, 16] [1, 19, 18, 2] [1, 19, 2] -------------- = ---------- [6, 18, 16] [6, 16] denominator=, [6, 18, 18] [1, 8, 18, 15] [1, 8, 15] -------------- = ---------- [6, 18, 18] [6, 18] [2, 10, 18, 12] [2, 10, 12] --------------- = ----------- [6, 18, 18] [6, 18] [3, 12, 18, 9] [3, 12, 9] -------------- = ---------- [6, 18, 18] [6, 18] [4, 14, 18, 6] [4, 14, 6] -------------- = ---------- [6, 18, 18] [6, 18] [5, 16, 18, 3] [5, 16, 3] -------------- = ---------- [6, 18, 18] [6, 18] denominator=, [6, 19, 6] [19, 18] [18] ---------- = ------ [6, 19, 6] [6, 6] [1, 19, 16] [1, 16] ----------- = ------- [6, 19, 6] [6, 6] [2, 19, 14] [2, 14] ----------- = ------- [6, 19, 6] [6, 6] [3, 19, 12] [3, 12] ----------- = ------- [6, 19, 6] [6, 6] [4, 19, 10] [4, 10] ----------- = ------- [6, 19, 6] [6, 6] [5, 19, 8] [5, 8] ---------- = ------ [6, 19, 6] [6, 6] [7, 19, 4] [7, 4] ---------- = ------ [6, 19, 6] [6, 6] [8, 19, 2] [8, 2] ---------- = ------ [6, 19, 6] [6, 6] [9, 19, 0] [9, 0] ---------- = ------ [6, 19, 6] [6, 6] denominator=, [7, 5, 4] [1, 10, 5, 0] [1, 10, 0] ------------- = ---------- [7, 5, 4] [7, 4] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 11, 10] [1, 11, 11, 5] [1, 11, 5] -------------- = ---------- [7, 11, 10] [7, 10] [2, 15, 11, 0] [2, 15, 0] -------------- = ---------- [7, 11, 10] [7, 10] denominator=, [7, 12, 10] [1, 16, 12, 0] [1, 16, 0] -------------- = ---------- [7, 12, 10] [7, 10] denominator=, [7, 14, 13] [2, 16, 14, 2] [2, 16, 2] -------------- = ---------- [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [1, 8, 14, 12] [1, 8, 12] -------------- = ---------- [7, 14, 14] [7, 14] [2, 9, 14, 10] [2, 9, 10] -------------- = ---------- [7, 14, 14] [7, 14] [3, 10, 14, 8] [3, 10, 8] -------------- = ---------- [7, 14, 14] [7, 14] [4, 11, 14, 6] [4, 11, 6] -------------- = ---------- [7, 14, 14] [7, 14] [5, 12, 14, 4] [5, 12, 4] -------------- = ---------- [7, 14, 14] [7, 14] [6, 13, 14, 2] [6, 13, 2] -------------- = ---------- [7, 14, 14] [7, 14] denominator=, [7, 17, 15] [1, 17, 17, 4] [1, 17, 4] -------------- = ---------- [7, 17, 15] [7, 15] denominator=, [7, 17, 16] [1, 12, 17, 10] [1, 12, 10] --------------- = ----------- [7, 17, 16] [7, 16] [2, 17, 17, 4] [2, 17, 4] -------------- = ---------- [7, 17, 16] [7, 16] denominator=, [7, 19, 0] [1, 19, 15] [1, 15] ----------- = ------- [7, 19, 0] [7, 0] [3, 19, 10] [3, 10] ----------- = ------- [7, 19, 0] [7, 0] [5, 19, 5] [5, 5] ---------- = ------ [7, 19, 0] [7, 0] denominator=, [7, 19, 2] [3, 19, 11] [3, 11] ----------- = ------- [7, 19, 2] [7, 2] denominator=, [7, 19, 4] [19, 18] [18] ---------- = ------ [7, 19, 4] [7, 4] [1, 19, 16] [1, 16] ----------- = ------- [7, 19, 4] [7, 4] [2, 19, 14] [2, 14] ----------- = ------- [7, 19, 4] [7, 4] [3, 19, 12] [3, 12] ----------- = ------- [7, 19, 4] [7, 4] [4, 19, 10] [4, 10] ----------- = ------- [7, 19, 4] [7, 4] [5, 19, 8] [5, 8] ---------- = ------ [7, 19, 4] [7, 4] [6, 19, 6] [6, 6] ---------- = ------ [7, 19, 4] [7, 4] [8, 19, 2] [8, 2] ---------- = ------ [7, 19, 4] [7, 4] [9, 19, 0] [9, 0] ---------- = ------ [7, 19, 4] [7, 4] denominator=, [7, 19, 6] [3, 19, 13] [3, 13] ----------- = ------- [7, 19, 6] [7, 6] denominator=, [7, 19, 8] [1, 19, 17] [1, 17] ----------- = ------- [7, 19, 8] [7, 8] [3, 19, 14] [3, 14] ----------- = ------- [7, 19, 8] [7, 8] [5, 19, 11] [5, 11] ----------- = ------- [7, 19, 8] [7, 8] [9, 19, 5] [9, 5] ---------- = ------ [7, 19, 8] [7, 8] [11, 19, 2] [11, 2] ----------- = ------- [7, 19, 8] [7, 8] denominator=, [7, 19, 10] [3, 19, 15] [3, 15] ----------- = ------- [7, 19, 10] [7, 10] [11, 19, 5] [11, 5] ----------- = ------- [7, 19, 10] [7, 10] denominator=, [7, 19, 14] [3, 19, 17] [3, 17] ----------- = ------- [7, 19, 14] [7, 14] [11, 19, 11] [11, 11] ------------ = -------- [7, 19, 14] [7, 14] [19, 19, 5] [19, 5] ----------- = ------- [7, 19, 14] [7, 14] denominator=, [7, 19, 16] [1, 19, 19] [1, 19] ----------- = ------- [7, 19, 16] [7, 16] [3, 19, 18] [3, 18] ----------- = ------- [7, 19, 16] [7, 16] [5, 19, 17] [5, 17] ----------- = ------- [7, 19, 16] [7, 16] [9, 19, 15] [9, 15] ----------- = ------- [7, 19, 16] [7, 16] [11, 19, 14] [11, 14] ------------ = -------- [7, 19, 16] [7, 16] [13, 19, 13] [13, 13] ------------ = -------- [7, 19, 16] [7, 16] [17, 19, 11] [17, 11] ------------ = -------- [7, 19, 16] [7, 16] [19, 19, 10] [19, 10] ------------ = -------- [7, 19, 16] [7, 16] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [7, 19, 16] [7, 16] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [7, 19, 16] [7, 16] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [7, 19, 16] [7, 16] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [7, 19, 16] [7, 16] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [7, 19, 16] [7, 16] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [7, 19, 16] [7, 16] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [7, 19, 16] [7, 16] denominator=, [7, 19, 18] [3, 19, 19] [3, 19] ----------- = ------- [7, 19, 18] [7, 18] [11, 19, 17] [11, 17] ------------ = -------- [7, 19, 18] [7, 18] [19, 19, 15] [19, 15] ------------ = -------- [7, 19, 18] [7, 18] [1, 7, 19, 13] [1, 7, 13] -------------- = ---------- [7, 19, 18] [7, 18] [1, 15, 19, 11] [1, 15, 11] --------------- = ----------- [7, 19, 18] [7, 18] [2, 3, 19, 9] [2, 3, 9] ------------- = --------- [7, 19, 18] [7, 18] [2, 11, 19, 7] [2, 11, 7] -------------- = ---------- [7, 19, 18] [7, 18] [2, 19, 19, 5] [2, 19, 5] -------------- = ---------- [7, 19, 18] [7, 18] [3, 7, 19, 3] [3, 7, 3] ------------- = --------- [7, 19, 18] [7, 18] [3, 15, 19, 1] [3, 15, 1] -------------- = ---------- [7, 19, 18] [7, 18] denominator=, [8, 2, 2] [4, 5, 2, 1] [4, 5, 1] ------------ = --------- [8, 2, 2] [8, 2] denominator=, [8, 4, 4] [2, 7, 4, 3] [2, 7, 3] ------------ = --------- [8, 4, 4] [8, 4] [4, 6, 4, 2] [4, 6, 2] ------------ = --------- [8, 4, 4] [8, 4] [6, 5, 4, 1] [6, 5, 1] ------------ = --------- [8, 4, 4] [8, 4] denominator=, [8, 6, 6] [4, 7, 6, 3] [4, 7, 3] ------------ = --------- [8, 6, 6] [8, 6] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 9, 8] [1, 11, 9, 4] [1, 11, 4] ------------- = ---------- [8, 9, 8] [8, 8] [2, 14, 9, 0] [2, 14, 0] ------------- = ---------- [8, 9, 8] [8, 8] denominator=, [8, 10, 8] [1, 15, 10, 0] [1, 15, 0] -------------- = ---------- [8, 10, 8] [8, 8] denominator=, [8, 10, 10] [4, 9, 10, 5] [4, 9, 5] ------------- = --------- [8, 10, 10] [8, 10] denominator=, [8, 12, 12] [2, 9, 12, 9] [2, 9, 9] ------------- = --------- [8, 12, 12] [8, 12] [4, 10, 12, 6] [4, 10, 6] -------------- = ---------- [8, 12, 12] [8, 12] [6, 11, 12, 3] [6, 11, 3] -------------- = ---------- [8, 12, 12] [8, 12] denominator=, [8, 14, 14] [4, 11, 14, 7] [4, 11, 7] -------------- = ---------- [8, 14, 14] [8, 14] denominator=, [8, 16, 14] [1, 16, 16, 5] [1, 16, 5] -------------- = ---------- [8, 16, 14] [8, 14] denominator=, [8, 16, 15] [1, 12, 16, 10] [1, 12, 10] --------------- = ----------- [8, 16, 15] [8, 15] [2, 16, 16, 5] [2, 16, 5] -------------- = ---------- [8, 16, 15] [8, 15] [4, 0, 16, 0] [4, 0, 0] ------------- = --------- [8, 16, 15] [8, 15] denominator=, [8, 16, 16] [1, 9, 16, 14] [1, 9, 14] -------------- = ---------- [8, 16, 16] [8, 16] [2, 10, 16, 12] [2, 10, 12] --------------- = ----------- [8, 16, 16] [8, 16] [3, 11, 16, 10] [3, 11, 10] --------------- = ----------- [8, 16, 16] [8, 16] [4, 12, 16, 8] [4, 12, 8] -------------- = ---------- [8, 16, 16] [8, 16] [5, 13, 16, 6] [5, 13, 6] -------------- = ---------- [8, 16, 16] [8, 16] [6, 14, 16, 4] [6, 14, 4] -------------- = ---------- [8, 16, 16] [8, 16] [7, 15, 16, 2] [7, 15, 2] -------------- = ---------- [8, 16, 16] [8, 16] denominator=, [8, 18, 15] [2, 2, 18, 0] [2, 2, 0] ------------- = --------- [8, 18, 15] [8, 15] denominator=, [8, 18, 18] [4, 13, 18, 9] [4, 13, 9] -------------- = ---------- [8, 18, 18] [8, 18] denominator=, [8, 19, 2] [19, 18] [18] ---------- = ------ [8, 19, 2] [8, 2] [1, 19, 16] [1, 16] ----------- = ------- [8, 19, 2] [8, 2] [2, 19, 14] [2, 14] ----------- = ------- [8, 19, 2] [8, 2] [3, 19, 12] [3, 12] ----------- = ------- [8, 19, 2] [8, 2] [4, 19, 10] [4, 10] ----------- = ------- [8, 19, 2] [8, 2] [5, 19, 8] [5, 8] ---------- = ------ [8, 19, 2] [8, 2] [6, 19, 6] [6, 6] ---------- = ------ [8, 19, 2] [8, 2] [7, 19, 4] [7, 4] ---------- = ------ [8, 19, 2] [8, 2] [9, 19, 0] [9, 0] ---------- = ------ [8, 19, 2] [8, 2] denominator=, [8, 19, 5] [2, 19, 15] [2, 15] ----------- = ------- [8, 19, 5] [8, 5] [5, 19, 10] [5, 10] ----------- = ------- [8, 19, 5] [8, 5] [11, 19, 0] [11, 0] ----------- = ------- [8, 19, 5] [8, 5] denominator=, [8, 19, 8] [2, 19, 16] [2, 16] ----------- = ------- [8, 19, 8] [8, 8] [5, 19, 12] [5, 12] ----------- = ------- [8, 19, 8] [8, 8] [11, 19, 4] [11, 4] ----------- = ------- [8, 19, 8] [8, 8] [14, 19, 0] [14, 0] ----------- = ------- [8, 19, 8] [8, 8] denominator=, [8, 19, 14] [2, 19, 18] [2, 18] ----------- = ------- [8, 19, 14] [8, 14] [5, 19, 16] [5, 16] ----------- = ------- [8, 19, 14] [8, 14] [11, 19, 12] [11, 12] ------------ = -------- [8, 19, 14] [8, 14] [14, 19, 10] [14, 10] ------------ = -------- [8, 19, 14] [8, 14] [1, 0, 19, 6] [1, 0, 6] ------------- = --------- [8, 19, 14] [8, 14] [1, 3, 19, 4] [1, 3, 4] ------------- = --------- [8, 19, 14] [8, 14] [1, 9, 19, 0] [1, 9, 0] ------------- = --------- [8, 19, 14] [8, 14] denominator=, [8, 19, 17] [2, 19, 19] [2, 19] ----------- = ------- [8, 19, 17] [8, 17] [5, 19, 18] [5, 18] ----------- = ------- [8, 19, 17] [8, 17] [11, 19, 16] [11, 16] ------------ = -------- [8, 19, 17] [8, 17] [14, 19, 15] [14, 15] ------------ = -------- [8, 19, 17] [8, 17] [1, 0, 19, 13] [1, 0, 13] -------------- = ---------- [8, 19, 17] [8, 17] [1, 3, 19, 12] [1, 3, 12] -------------- = ---------- [8, 19, 17] [8, 17] [1, 9, 19, 10] [1, 9, 10] -------------- = ---------- [8, 19, 17] [8, 17] [1, 12, 19, 9] [1, 12, 9] -------------- = ---------- [8, 19, 17] [8, 17] [1, 18, 19, 7] [1, 18, 7] -------------- = ---------- [8, 19, 17] [8, 17] [2, 1, 19, 6] [2, 1, 6] ------------- = --------- [8, 19, 17] [8, 17] [2, 7, 19, 4] [2, 7, 4] ------------- = --------- [8, 19, 17] [8, 17] [2, 10, 19, 3] [2, 10, 3] -------------- = ---------- [8, 19, 17] [8, 17] [2, 16, 19, 1] [2, 16, 1] -------------- = ---------- [8, 19, 17] [8, 17] [2, 19, 19, 0] [2, 19, 0] -------------- = ---------- [8, 19, 17] [8, 17] denominator=, [9, 3, 3] [3, 7, 3, 2] [3, 7, 2] ------------ = --------- [9, 3, 3] [9, 3] [6, 5, 3, 1] [6, 5, 1] ------------ = --------- [9, 3, 3] [9, 3] denominator=, [9, 5, 4] [1, 11, 5, 1] [1, 11, 1] ------------- = ---------- [9, 5, 4] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4] [3, 8, 4] ------------ = --------- [9, 6, 6] [9, 6] [6, 7, 6, 2] [6, 7, 2] ------------ = --------- [9, 6, 6] [9, 6] denominator=, [9, 9, 8] [2, 14, 9, 1] [2, 14, 1] ------------- = ---------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [9, 11, 9] [1, 15, 11, 2] [1, 15, 2] -------------- = ---------- [9, 11, 9] [9, 9] denominator=, [9, 12, 12] [3, 10, 12, 8] [3, 10, 8] -------------- = ---------- [9, 12, 12] [9, 12] [6, 11, 12, 4] [6, 11, 4] -------------- = ---------- [9, 12, 12] [9, 12] denominator=, [9, 13, 12] [1, 12, 13, 8] [1, 12, 8] -------------- = ---------- [9, 13, 12] [9, 12] [2, 15, 13, 4] [2, 15, 4] -------------- = ---------- [9, 13, 12] [9, 12] [3, 18, 13, 0] [3, 18, 0] -------------- = ---------- [9, 13, 12] [9, 12] denominator=, [9, 15, 12] [2, 0, 15, 0] [2, 0, 0] ------------- = --------- [9, 15, 12] [9, 12] denominator=, [9, 15, 15] [3, 11, 15, 10] [3, 11, 10] --------------- = ----------- [9, 15, 15] [9, 15] [6, 13, 15, 5] [6, 13, 5] -------------- = ---------- [9, 15, 15] [9, 15] denominator=, [9, 17, 16] [2, 16, 17, 7] [2, 16, 7] -------------- = ---------- [9, 17, 16] [9, 16] denominator=, [9, 18, 16] [1, 16, 18, 8] [1, 16, 8] -------------- = ---------- [9, 18, 16] [9, 16] [3, 3, 18, 0] [3, 3, 0] ------------- = --------- [9, 18, 16] [9, 16] denominator=, [9, 18, 18] [1, 10, 18, 16] [1, 10, 16] --------------- = ----------- [9, 18, 18] [9, 18] [2, 11, 18, 14] [2, 11, 14] --------------- = ----------- [9, 18, 18] [9, 18] [3, 12, 18, 12] [3, 12, 12] --------------- = ----------- [9, 18, 18] [9, 18] [4, 13, 18, 10] [4, 13, 10] --------------- = ----------- [9, 18, 18] [9, 18] [5, 14, 18, 8] [5, 14, 8] -------------- = ---------- [9, 18, 18] [9, 18] [6, 15, 18, 6] [6, 15, 6] -------------- = ---------- [9, 18, 18] [9, 18] [7, 16, 18, 4] [7, 16, 4] -------------- = ---------- [9, 18, 18] [9, 18] [8, 17, 18, 2] [8, 17, 2] -------------- = ---------- [9, 18, 18] [9, 18] denominator=, [9, 19, 0] [19, 18] [18] ---------- = ------ [9, 19, 0] [9, 0] [1, 19, 16] [1, 16] ----------- = ------- [9, 19, 0] [9, 0] [2, 19, 14] [2, 14] ----------- = ------- [9, 19, 0] [9, 0] [3, 19, 12] [3, 12] ----------- = ------- [9, 19, 0] [9, 0] [4, 19, 10] [4, 10] ----------- = ------- [9, 19, 0] [9, 0] [5, 19, 8] [5, 8] ---------- = ------ [9, 19, 0] [9, 0] [6, 19, 6] [6, 6] ---------- = ------ [9, 19, 0] [9, 0] [7, 19, 4] [7, 4] ---------- = ------ [9, 19, 0] [9, 0] [8, 19, 2] [8, 2] ---------- = ------ [9, 19, 0] [9, 0] denominator=, [9, 19, 2] [4, 19, 11] [4, 11] ----------- = ------- [9, 19, 2] [9, 2] denominator=, [9, 19, 4] [4, 19, 12] [4, 12] ----------- = ------- [9, 19, 4] [9, 4] denominator=, [9, 19, 5] [1, 19, 17] [1, 17] ----------- = ------- [9, 19, 5] [9, 5] [3, 19, 14] [3, 14] ----------- = ------- [9, 19, 5] [9, 5] [5, 19, 11] [5, 11] ----------- = ------- [9, 19, 5] [9, 5] [7, 19, 8] [7, 8] ---------- = ------ [9, 19, 5] [9, 5] [11, 19, 2] [11, 2] ----------- = ------- [9, 19, 5] [9, 5] denominator=, [9, 19, 6] [4, 19, 13] [4, 13] ----------- = ------- [9, 19, 6] [9, 6] denominator=, [9, 19, 8] [4, 19, 14] [4, 14] ----------- = ------- [9, 19, 8] [9, 8] [14, 19, 2] [14, 2] ----------- = ------- [9, 19, 8] [9, 8] denominator=, [9, 19, 12] [4, 19, 16] [4, 16] ----------- = ------- [9, 19, 12] [9, 12] [14, 19, 8] [14, 8] ----------- = ------- [9, 19, 12] [9, 12] [1, 4, 19, 0] [1, 4, 0] ------------- = --------- [9, 19, 12] [9, 12] denominator=, [9, 19, 14] [4, 19, 17] [4, 17] ----------- = ------- [9, 19, 14] [9, 14] [14, 19, 11] [14, 11] ------------ = -------- [9, 19, 14] [9, 14] [1, 4, 19, 5] [1, 4, 5] ------------- = --------- [9, 19, 14] [9, 14] denominator=, [9, 19, 15] [1, 19, 19] [1, 19] ----------- = ------- [9, 19, 15] [9, 15] [3, 19, 18] [3, 18] ----------- = ------- [9, 19, 15] [9, 15] [5, 19, 17] [5, 17] ----------- = ------- [9, 19, 15] [9, 15] [7, 19, 16] [7, 16] ----------- = ------- [9, 19, 15] [9, 15] [11, 19, 14] [11, 14] ------------ = -------- [9, 19, 15] [9, 15] [13, 19, 13] [13, 13] ------------ = -------- [9, 19, 15] [9, 15] [15, 19, 12] [15, 12] ------------ = -------- [9, 19, 15] [9, 15] [17, 19, 11] [17, 11] ------------ = -------- [9, 19, 15] [9, 15] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [9, 19, 15] [9, 15] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [9, 19, 15] [9, 15] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [9, 19, 15] [9, 15] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [9, 19, 15] [9, 15] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [9, 19, 15] [9, 15] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [9, 19, 15] [9, 15] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [9, 19, 15] [9, 15] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [9, 19, 15] [9, 15] denominator=, [9, 19, 16] [4, 19, 18] [4, 18] ----------- = ------- [9, 19, 16] [9, 16] [14, 19, 14] [14, 14] ------------ = -------- [9, 19, 16] [9, 16] [1, 4, 19, 10] [1, 4, 10] -------------- = ---------- [9, 19, 16] [9, 16] [1, 14, 19, 6] [1, 14, 6] -------------- = ---------- [9, 19, 16] [9, 16] [2, 4, 19, 2] [2, 4, 2] ------------- = --------- [9, 19, 16] [9, 16] denominator=, [9, 19, 18] [4, 19, 19] [4, 19] ----------- = ------- [9, 19, 18] [9, 18] [14, 19, 17] [14, 17] ------------ = -------- [9, 19, 18] [9, 18] [1, 4, 19, 15] [1, 4, 15] -------------- = ---------- [9, 19, 18] [9, 18] [1, 14, 19, 13] [1, 14, 13] --------------- = ----------- [9, 19, 18] [9, 18] [2, 4, 19, 11] [2, 4, 11] -------------- = ---------- [9, 19, 18] [9, 18] [2, 14, 19, 9] [2, 14, 9] -------------- = ---------- [9, 19, 18] [9, 18] [3, 4, 19, 7] [3, 4, 7] ------------- = --------- [9, 19, 18] [9, 18] [3, 14, 19, 5] [3, 14, 5] -------------- = ---------- [9, 19, 18] [9, 18] [4, 4, 19, 3] [4, 4, 3] ------------- = --------- [9, 19, 18] [9, 18] [4, 14, 19, 1] [4, 14, 1] -------------- = ---------- [9, 19, 18] [9, 18] denominator=, [10, 2, 2] [5, 6, 2, 1] [5, 6, 1] ------------ = --------- [10, 2, 2] [10, 2] denominator=, [10, 4, 4] [5, 7, 4, 2] [5, 7, 2] ------------ = --------- [10, 4, 4] [10, 4] denominator=, [10, 5, 5] [2, 9, 5, 4] [2, 9, 4] ------------ = --------- [10, 5, 5] [10, 5] [4, 8, 5, 3] [4, 8, 3] ------------ = --------- [10, 5, 5] [10, 5] [6, 7, 5, 2] [6, 7, 2] ------------ = --------- [10, 5, 5] [10, 5] [8, 6, 5, 1] [8, 6, 1] ------------ = --------- [10, 5, 5] [10, 5] denominator=, [10, 6, 6] [5, 8, 6, 3] [5, 8, 3] ------------ = --------- [10, 6, 6] [10, 6] denominator=, [10, 8, 7] [1, 12, 8, 4] [1, 12, 4] ------------- = ---------- [10, 8, 7] [10, 7] [2, 14, 8, 1] [2, 14, 1] ------------- = ---------- [10, 8, 7] [10, 7] denominator=, [10, 8, 8] [5, 9, 8, 4] [5, 9, 4] ------------ = --------- [10, 8, 8] [10, 8] denominator=, [10, 10, 8] [1, 15, 10, 2] [1, 15, 2] -------------- = ---------- [10, 10, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [10, 11, 10] [3, 17, 11, 0] [3, 17, 0] -------------- = ---------- [10, 11, 10] [10, 10] denominator=, [10, 12, 12] [5, 11, 12, 6] [5, 11, 6] -------------- = ---------- [10, 12, 12] [10, 12] denominator=, [10, 13, 10] [1, 19, 13, 0] [1, 19, 0] -------------- = ---------- [10, 13, 10] [10, 10] denominator=, [10, 14, 13] [3, 18, 14, 2] [3, 18, 2] -------------- = ---------- [10, 14, 13] [10, 13] denominator=, [10, 14, 14] [5, 12, 14, 7] [5, 12, 7] -------------- = ---------- [10, 14, 14] [10, 14] denominator=, [10, 15, 15] [2, 11, 15, 12] [2, 11, 12] --------------- = ----------- [10, 15, 15] [10, 15] [4, 12, 15, 9] [4, 12, 9] -------------- = ---------- [10, 15, 15] [10, 15] [6, 13, 15, 6] [6, 13, 6] -------------- = ---------- [10, 15, 15] [10, 15] [8, 14, 15, 3] [8, 14, 3] -------------- = ---------- [10, 15, 15] [10, 15] denominator=, [10, 16, 16] [5, 13, 16, 8] [5, 13, 8] -------------- = ---------- [10, 16, 16] [10, 16] denominator=, [10, 17, 16] [1, 13, 17, 12] [1, 13, 12] --------------- = ----------- [10, 17, 16] [10, 16] [2, 16, 17, 8] [2, 16, 8] -------------- = ---------- [10, 17, 16] [10, 16] [3, 19, 17, 4] [3, 19, 4] -------------- = ---------- [10, 17, 16] [10, 16] [5, 2, 17, 0] [5, 2, 0] ------------- = --------- [10, 17, 16] [10, 16] denominator=, [10, 18, 16] [1, 16, 18, 9] [1, 16, 9] -------------- = ---------- [10, 18, 16] [10, 16] [3, 2, 18, 2] [3, 2, 2] ------------- = --------- [10, 18, 16] [10, 16] denominator=, [10, 18, 18] [5, 14, 18, 9] [5, 14, 9] -------------- = ---------- [10, 18, 18] [10, 18] denominator=, [11, 6, 5] [2, 14, 6, 0] [2, 14, 0] ------------- = ---------- [11, 6, 5] [11, 5] denominator=, [11, 7, 5] [1, 15, 7, 0] [1, 15, 0] ------------- = ---------- [11, 7, 5] [11, 5] denominator=, [11, 11, 10] [1, 13, 11, 7] [1, 13, 7] -------------- = ---------- [11, 11, 10] [11, 10] [2, 15, 11, 4] [2, 15, 4] -------------- = ---------- [11, 11, 10] [11, 10] [3, 17, 11, 1] [3, 17, 1] -------------- = ---------- [11, 11, 10] [11, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [11, 15, 12] [1, 19, 15, 3] [1, 19, 3] -------------- = ---------- [11, 15, 12] [11, 12] denominator=, [11, 16, 14] [1, 16, 16, 8] [1, 16, 8] -------------- = ---------- [11, 16, 14] [11, 14] [3, 1, 16, 2] [3, 1, 2] ------------- = --------- [11, 16, 14] [11, 14] denominator=, [11, 16, 15] [2, 16, 16, 8] [2, 16, 8] -------------- = ---------- [11, 16, 15] [11, 15] [5, 1, 16, 1] [5, 1, 1] ------------- = --------- [11, 16, 15] [11, 15] denominator=, [11, 19, 0] [2, 19, 15] [2, 15] ----------- = ------- [11, 19, 0] [11, 0] [5, 19, 10] [5, 10] ----------- = ------- [11, 19, 0] [11, 0] [8, 19, 5] [8, 5] ----------- = ------- [11, 19, 0] [11, 0] denominator=, [11, 19, 2] [1, 19, 17] [1, 17] ----------- = ------- [11, 19, 2] [11, 2] [3, 19, 14] [3, 14] ----------- = ------- [11, 19, 2] [11, 2] [5, 19, 11] [5, 11] ----------- = ------- [11, 19, 2] [11, 2] [7, 19, 8] [7, 8] ----------- = ------- [11, 19, 2] [11, 2] [9, 19, 5] [9, 5] ----------- = ------- [11, 19, 2] [11, 2] denominator=, [11, 19, 4] [2, 19, 16] [2, 16] ----------- = ------- [11, 19, 4] [11, 4] [5, 19, 12] [5, 12] ----------- = ------- [11, 19, 4] [11, 4] [8, 19, 8] [8, 8] ----------- = ------- [11, 19, 4] [11, 4] [14, 19, 0] [14, 0] ----------- = ------- [11, 19, 4] [11, 4] denominator=, [11, 19, 5] [3, 19, 15] [3, 15] ----------- = ------- [11, 19, 5] [11, 5] [7, 19, 10] [7, 10] ----------- = ------- [11, 19, 5] [11, 5] [15, 19, 0] [15, 0] ----------- = ------- [11, 19, 5] [11, 5] denominator=, [11, 19, 6] [5, 19, 13] [5, 13] ----------- = ------- [11, 19, 6] [11, 6] denominator=, [11, 19, 10] [5, 19, 15] [5, 15] ------------ = -------- [11, 19, 10] [11, 10] [17, 19, 5] [17, 5] ------------ = -------- [11, 19, 10] [11, 10] denominator=, [11, 19, 11] [3, 19, 17] [3, 17] ------------ = -------- [11, 19, 11] [11, 11] [7, 19, 14] [7, 14] ------------ = -------- [11, 19, 11] [11, 11] [15, 19, 8] [15, 8] ------------ = -------- [11, 19, 11] [11, 11] [19, 19, 5] [19, 5] ------------ = -------- [11, 19, 11] [11, 11] denominator=, [11, 19, 12] [2, 19, 18] [2, 18] ------------ = -------- [11, 19, 12] [11, 12] [5, 19, 16] [5, 16] ------------ = -------- [11, 19, 12] [11, 12] [8, 19, 14] [8, 14] ------------ = -------- [11, 19, 12] [11, 12] [14, 19, 10] [14, 10] ------------ = -------- [11, 19, 12] [11, 12] [17, 19, 8] [17, 8] ------------ = -------- [11, 19, 12] [11, 12] [1, 0, 19, 6] [1, 0, 6] ------------- = --------- [11, 19, 12] [11, 12] [1, 6, 19, 2] [1, 6, 2] ------------- = --------- [11, 19, 12] [11, 12] [1, 9, 19, 0] [1, 9, 0] ------------- = --------- [11, 19, 12] [11, 12] denominator=, [11, 19, 14] [1, 19, 19] [1, 19] ------------ = -------- [11, 19, 14] [11, 14] [3, 19, 18] [3, 18] ------------ = -------- [11, 19, 14] [11, 14] [5, 19, 17] [5, 17] ------------ = -------- [11, 19, 14] [11, 14] [7, 19, 16] [7, 16] ------------ = -------- [11, 19, 14] [11, 14] [9, 19, 15] [9, 15] ------------ = -------- [11, 19, 14] [11, 14] [13, 19, 13] [13, 13] ------------ = -------- [11, 19, 14] [11, 14] [15, 19, 12] [15, 12] ------------ = -------- [11, 19, 14] [11, 14] [17, 19, 11] [17, 11] ------------ = -------- [11, 19, 14] [11, 14] [19, 19, 10] [19, 10] ------------ = -------- [11, 19, 14] [11, 14] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [11, 19, 14] [11, 14] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [11, 19, 14] [11, 14] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [11, 19, 14] [11, 14] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [11, 19, 14] [11, 14] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [11, 19, 14] [11, 14] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [11, 19, 14] [11, 14] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [11, 19, 14] [11, 14] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [11, 19, 14] [11, 14] denominator=, [11, 19, 16] [2, 19, 19] [2, 19] ------------ = -------- [11, 19, 16] [11, 16] [5, 19, 18] [5, 18] ------------ = -------- [11, 19, 16] [11, 16] [8, 19, 17] [8, 17] ------------ = -------- [11, 19, 16] [11, 16] [14, 19, 15] [14, 15] ------------ = -------- [11, 19, 16] [11, 16] [17, 19, 14] [17, 14] ------------ = -------- [11, 19, 16] [11, 16] [1, 0, 19, 13] [1, 0, 13] -------------- = ---------- [11, 19, 16] [11, 16] [1, 6, 19, 11] [1, 6, 11] -------------- = ---------- [11, 19, 16] [11, 16] [1, 9, 19, 10] [1, 9, 10] -------------- = ---------- [11, 19, 16] [11, 16] [1, 12, 19, 9] [1, 12, 9] -------------- = ---------- [11, 19, 16] [11, 16] [1, 18, 19, 7] [1, 18, 7] -------------- = ---------- [11, 19, 16] [11, 16] [2, 1, 19, 6] [2, 1, 6] ------------- = --------- [11, 19, 16] [11, 16] [2, 4, 19, 5] [2, 4, 5] ------------- = --------- [11, 19, 16] [11, 16] [2, 10, 19, 3] [2, 10, 3] -------------- = ---------- [11, 19, 16] [11, 16] [2, 13, 19, 2] [2, 13, 2] -------------- = ---------- [11, 19, 16] [11, 16] [2, 16, 19, 1] [2, 16, 1] -------------- = ---------- [11, 19, 16] [11, 16] denominator=, [11, 19, 17] [3, 19, 19] [3, 19] ------------ = -------- [11, 19, 17] [11, 17] [7, 19, 18] [7, 18] ------------ = -------- [11, 19, 17] [11, 17] [15, 19, 16] [15, 16] ------------ = -------- [11, 19, 17] [11, 17] [19, 19, 15] [19, 15] ------------ = -------- [11, 19, 17] [11, 17] [1, 7, 19, 13] [1, 7, 13] -------------- = ---------- [11, 19, 17] [11, 17] [1, 11, 19, 12] [1, 11, 12] --------------- = ----------- [11, 19, 17] [11, 17] [1, 19, 19, 10] [1, 19, 10] --------------- = ----------- [11, 19, 17] [11, 17] [2, 3, 19, 9] [2, 3, 9] ------------- = --------- [11, 19, 17] [11, 17] [2, 11, 19, 7] [2, 11, 7] -------------- = ---------- [11, 19, 17] [11, 17] [2, 15, 19, 6] [2, 15, 6] -------------- = ---------- [11, 19, 17] [11, 17] [3, 3, 19, 4] [3, 3, 4] ------------- = --------- [11, 19, 17] [11, 17] [3, 7, 19, 3] [3, 7, 3] ------------- = --------- [11, 19, 17] [11, 17] [3, 15, 19, 1] [3, 15, 1] -------------- = ---------- [11, 19, 17] [11, 17] [3, 19, 19, 0] [3, 19, 0] -------------- = ---------- [11, 19, 17] [11, 17] denominator=, [11, 19, 18] [5, 19, 19] [5, 19] ------------ = -------- [11, 19, 18] [11, 18] [17, 19, 17] [17, 17] ------------ = -------- [11, 19, 18] [11, 18] [1, 9, 19, 15] [1, 9, 15] -------------- = ---------- [11, 19, 18] [11, 18] [2, 1, 19, 13] [2, 1, 13] -------------- = ---------- [11, 19, 18] [11, 18] [2, 13, 19, 11] [2, 13, 11] --------------- = ----------- [11, 19, 18] [11, 18] [3, 5, 19, 9] [3, 5, 9] ------------- = --------- [11, 19, 18] [11, 18] [3, 17, 19, 7] [3, 17, 7] -------------- = ---------- [11, 19, 18] [11, 18] [4, 9, 19, 5] [4, 9, 5] ------------- = --------- [11, 19, 18] [11, 18] [5, 1, 19, 3] [5, 1, 3] ------------- = --------- [11, 19, 18] [11, 18] [5, 13, 19, 1] [5, 13, 1] -------------- = ---------- [11, 19, 18] [11, 18] denominator=, [12, 2, 2] [6, 7, 2, 1] [6, 7, 1] ------------ = --------- [12, 2, 2] [12, 2] denominator=, [12, 3, 2] [1, 13, 3, 0] [1, 13, 0] ------------- = ---------- [12, 3, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2] [4, 9, 2] ------------ = --------- [12, 3, 3] [12, 3] [8, 6, 3, 1] [8, 6, 1] ------------ = --------- [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [3, 10, 4, 3] [3, 10, 3] ------------- = ---------- [12, 4, 4] [12, 4] [6, 8, 4, 2] [6, 8, 2] ------------ = --------- [12, 4, 4] [12, 4] [9, 6, 4, 1] [9, 6, 1] ------------ = --------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5] [2, 11, 5] ------------- = ---------- [12, 6, 6] [12, 6] [4, 10, 6, 4] [4, 10, 4] ------------- = ---------- [12, 6, 6] [12, 6] [6, 9, 6, 3] [6, 9, 3] ------------ = --------- [12, 6, 6] [12, 6] [8, 8, 6, 2] [8, 8, 2] ------------ = --------- [12, 6, 6] [12, 6] [10, 7, 6, 1] [10, 7, 1] ------------- = ---------- [12, 6, 6] [12, 6] denominator=, [12, 8, 8] [3, 11, 8, 6] [3, 11, 6] ------------- = ---------- [12, 8, 8] [12, 8] [6, 10, 8, 4] [6, 10, 4] ------------- = ---------- [12, 8, 8] [12, 8] [9, 9, 8, 2] [9, 9, 2] ------------ = --------- [12, 8, 8] [12, 8] denominator=, [12, 9, 9] [4, 11, 9, 6] [4, 11, 6] ------------- = ---------- [12, 9, 9] [12, 9] [8, 10, 9, 3] [8, 10, 3] ------------- = ---------- [12, 9, 9] [12, 9] denominator=, [12, 10, 10] [6, 11, 10, 5] [6, 11, 5] -------------- = ---------- [12, 10, 10] [12, 10] denominator=, [12, 12, 10] [1, 16, 12, 5] [1, 16, 5] -------------- = ---------- [12, 12, 10] [12, 10] [3, 0, 12, 0] [3, 0, 0] ------------- = --------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [12, 14, 13] [1, 14, 14, 10] [1, 14, 10] --------------- = ----------- [12, 14, 13] [12, 13] [2, 16, 14, 7] [2, 16, 7] -------------- = ---------- [12, 14, 13] [12, 13] [3, 18, 14, 4] [3, 18, 4] -------------- = ---------- [12, 14, 13] [12, 13] [5, 0, 14, 1] [5, 0, 1] ------------- = --------- [12, 14, 13] [12, 13] denominator=, [12, 14, 14] [6, 13, 14, 7] [6, 13, 7] -------------- = ---------- [12, 14, 14] [12, 14] denominator=, [12, 15, 12] [1, 19, 15, 4] [1, 19, 4] -------------- = ---------- [12, 15, 12] [12, 12] denominator=, [12, 15, 15] [4, 13, 15, 10] [4, 13, 10] --------------- = ----------- [12, 15, 15] [12, 15] [8, 14, 15, 5] [8, 14, 5] -------------- = ---------- [12, 15, 15] [12, 15] denominator=, [12, 16, 16] [3, 13, 16, 12] [3, 13, 12] --------------- = ----------- [12, 16, 16] [12, 16] [6, 14, 16, 8] [6, 14, 8] -------------- = ---------- [12, 16, 16] [12, 16] [9, 15, 16, 4] [9, 15, 4] -------------- = ---------- [12, 16, 16] [12, 16] denominator=, [12, 17, 15] [3, 1, 17, 4] [3, 1, 4] ------------- = --------- [12, 17, 15] [12, 15] denominator=, [12, 18, 18] [2, 13, 18, 15] [2, 13, 15] --------------- = ----------- [12, 18, 18] [12, 18] [4, 14, 18, 12] [4, 14, 12] --------------- = ----------- [12, 18, 18] [12, 18] [6, 15, 18, 9] [6, 15, 9] -------------- = ---------- [12, 18, 18] [12, 18] [8, 16, 18, 6] [8, 16, 6] -------------- = ---------- [12, 18, 18] [12, 18] [10, 17, 18, 3] [10, 17, 3] --------------- = ----------- [12, 18, 18] [12, 18] denominator=, [13, 5, 4] [1, 14, 5, 2] [1, 14, 2] ------------- = ---------- [13, 5, 4] [13, 4] [2, 15, 5, 0] [2, 15, 0] ------------- = ---------- [13, 5, 4] [13, 4] denominator=, [13, 6, 4] [1, 16, 6, 0] [1, 16, 0] ------------- = ---------- [13, 6, 4] [13, 4] denominator=, [13, 9, 8] [3, 17, 9, 1] [3, 17, 1] ------------- = ---------- [13, 9, 8] [13, 8] denominator=, [13, 11, 10] [2, 16, 11, 5] [2, 16, 5] -------------- = ---------- [13, 11, 10] [13, 10] [4, 19, 11, 0] [4, 19, 0] -------------- = ---------- [13, 11, 10] [13, 10] denominator=, [13, 13, 10] [1, 19, 13, 3] [1, 19, 3] -------------- = ---------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [3, 18, 13, 4] [3, 18, 4] -------------- = ---------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [13, 14, 10] [2, 2, 14, 0] [2, 2, 0] ------------- = --------- [13, 14, 10] [13, 10] denominator=, [13, 14, 13] [5, 0, 14, 2] [5, 0, 2] ------------- = --------- [13, 14, 13] [13, 13] denominator=, [13, 17, 15] [1, 17, 17, 10] [1, 17, 10] --------------- = ----------- [13, 17, 15] [13, 15] [3, 1, 17, 5] [3, 1, 5] ------------- = --------- [13, 17, 15] [13, 15] [4, 5, 17, 0] [4, 5, 0] ------------- = --------- [13, 17, 15] [13, 15] denominator=, [13, 17, 16] [1, 15, 17, 13] [1, 15, 13] --------------- = ----------- [13, 17, 16] [13, 16] [2, 17, 17, 10] [2, 17, 10] --------------- = ----------- [13, 17, 16] [13, 16] [3, 19, 17, 7] [3, 19, 7] -------------- = ---------- [13, 17, 16] [13, 16] [5, 1, 17, 4] [5, 1, 4] ------------- = --------- [13, 17, 16] [13, 16] [6, 3, 17, 1] [6, 3, 1] ------------- = --------- [13, 17, 16] [13, 16] denominator=, [13, 18, 15] [3, 6, 18, 0] [3, 6, 0] ------------- = --------- [13, 18, 15] [13, 15] denominator=, [13, 19, 0] [6, 19, 10] [6, 10] ----------- = ------- [13, 19, 0] [13, 0] denominator=, [13, 19, 2] [6, 19, 11] [6, 11] ----------- = ------- [13, 19, 2] [13, 2] denominator=, [13, 19, 4] [6, 19, 12] [6, 12] ----------- = ------- [13, 19, 4] [13, 4] denominator=, [13, 19, 8] [6, 19, 14] [6, 14] ----------- = ------- [13, 19, 8] [13, 8] [1, 0, 19, 2] [1, 0, 2] ------------- = --------- [13, 19, 8] [13, 8] denominator=, [13, 19, 10] [6, 19, 15] [6, 15] ------------ = -------- [13, 19, 10] [13, 10] [1, 0, 19, 5] [1, 0, 5] ------------- = --------- [13, 19, 10] [13, 10] denominator=, [13, 19, 12] [6, 19, 16] [6, 16] ------------ = -------- [13, 19, 12] [13, 12] [1, 0, 19, 8] [1, 0, 8] ------------- = --------- [13, 19, 12] [13, 12] [1, 14, 19, 0] [1, 14, 0] -------------- = ---------- [13, 19, 12] [13, 12] denominator=, [13, 19, 13] [1, 19, 19] [1, 19] ------------ = -------- [13, 19, 13] [13, 13] [3, 19, 18] [3, 18] ------------ = -------- [13, 19, 13] [13, 13] [5, 19, 17] [5, 17] ------------ = -------- [13, 19, 13] [13, 13] [7, 19, 16] [7, 16] ------------ = -------- [13, 19, 13] [13, 13] [9, 19, 15] [9, 15] ------------ = -------- [13, 19, 13] [13, 13] [11, 19, 14] [11, 14] ------------ = -------- [13, 19, 13] [13, 13] [15, 19, 12] [15, 12] ------------ = -------- [13, 19, 13] [13, 13] [17, 19, 11] [17, 11] ------------ = -------- [13, 19, 13] [13, 13] [19, 19, 10] [19, 10] ------------ = -------- [13, 19, 13] [13, 13] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [13, 19, 13] [13, 13] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [13, 19, 13] [13, 13] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [13, 19, 13] [13, 13] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [13, 19, 13] [13, 13] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [13, 19, 13] [13, 13] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [13, 19, 13] [13, 13] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [13, 19, 13] [13, 13] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [13, 19, 13] [13, 13] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [13, 19, 13] [13, 13] denominator=, [13, 19, 14] [6, 19, 17] [6, 17] ------------ = -------- [13, 19, 14] [13, 14] [1, 0, 19, 11] [1, 0, 11] -------------- = ---------- [13, 19, 14] [13, 14] [1, 14, 19, 5] [1, 14, 5] -------------- = ---------- [13, 19, 14] [13, 14] denominator=, [13, 19, 16] [6, 19, 18] [6, 18] ------------ = -------- [13, 19, 16] [13, 16] [1, 0, 19, 14] [1, 0, 14] -------------- = ---------- [13, 19, 16] [13, 16] [1, 14, 19, 10] [1, 14, 10] --------------- = ----------- [13, 19, 16] [13, 16] [2, 8, 19, 6] [2, 8, 6] ------------- = --------- [13, 19, 16] [13, 16] [3, 2, 19, 2] [3, 2, 2] ------------- = --------- [13, 19, 16] [13, 16] denominator=, [13, 19, 18] [6, 19, 19] [6, 19] ------------ = -------- [13, 19, 18] [13, 18] [1, 0, 19, 17] [1, 0, 17] -------------- = ---------- [13, 19, 18] [13, 18] [1, 14, 19, 15] [1, 14, 15] --------------- = ----------- [13, 19, 18] [13, 18] [2, 8, 19, 13] [2, 8, 13] -------------- = ---------- [13, 19, 18] [13, 18] [3, 2, 19, 11] [3, 2, 11] -------------- = ---------- [13, 19, 18] [13, 18] [3, 16, 19, 9] [3, 16, 9] -------------- = ---------- [13, 19, 18] [13, 18] [4, 10, 19, 7] [4, 10, 7] -------------- = ---------- [13, 19, 18] [13, 18] [5, 4, 19, 5] [5, 4, 5] ------------- = --------- [13, 19, 18] [13, 18] [5, 18, 19, 3] [5, 18, 3] -------------- = ---------- [13, 19, 18] [13, 18] [6, 12, 19, 1] [6, 12, 1] -------------- = ---------- [13, 19, 18] [13, 18] denominator=, [14, 2, 2] [7, 8, 2, 1] [7, 8, 1] ------------ = --------- [14, 2, 2] [14, 2] denominator=, [14, 4, 4] [7, 9, 4, 2] [7, 9, 2] ------------ = --------- [14, 4, 4] [14, 4] denominator=, [14, 6, 6] [7, 10, 6, 3] [7, 10, 3] ------------- = ---------- [14, 6, 6] [14, 6] denominator=, [14, 7, 6] [1, 15, 7, 4] [1, 15, 4] ------------- = ---------- [14, 7, 6] [14, 6] [2, 16, 7, 2] [2, 16, 2] ------------- = ---------- [14, 7, 6] [14, 6] [3, 17, 7, 0] [3, 17, 0] ------------- = ---------- [14, 7, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6] [2, 13, 6] ------------- = ---------- [14, 7, 7] [14, 7] [4, 12, 7, 5] [4, 12, 5] ------------- = ---------- [14, 7, 7] [14, 7] [6, 11, 7, 4] [6, 11, 4] ------------- = ---------- [14, 7, 7] [14, 7] [8, 10, 7, 3] [8, 10, 3] ------------- = ---------- [14, 7, 7] [14, 7] [10, 9, 7, 2] [10, 9, 2] ------------- = ---------- [14, 7, 7] [14, 7] [12, 8, 7, 1] [12, 8, 1] ------------- = ---------- [14, 7, 7] [14, 7] denominator=, [14, 8, 8] [7, 11, 8, 4] [7, 11, 4] ------------- = ---------- [14, 8, 8] [14, 8] denominator=, [14, 9, 6] [1, 19, 9, 0] [1, 19, 0] ------------- = ---------- [14, 9, 6] [14, 6] denominator=, [14, 10, 8] [1, 17, 10, 4] [1, 17, 4] -------------- = ---------- [14, 10, 8] [14, 8] [3, 0, 10, 0] [3, 0, 0] ------------- = --------- [14, 10, 8] [14, 8] denominator=, [14, 10, 10] [7, 12, 10, 5] [7, 12, 5] -------------- = ---------- [14, 10, 10] [14, 10] denominator=, [14, 12, 12] [7, 13, 12, 6] [7, 13, 6] -------------- = ---------- [14, 12, 12] [14, 12] denominator=, [14, 14, 10] [2, 2, 14, 1] [2, 2, 1] ------------- = --------- [14, 14, 10] [14, 10] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 16, 14] [3, 1, 16, 5] [3, 1, 5] ------------- = --------- [14, 16, 14] [14, 14] denominator=, [14, 16, 16] [7, 15, 16, 8] [7, 15, 8] -------------- = ---------- [14, 16, 16] [14, 16] denominator=, [14, 18, 16] [4, 5, 18, 2] [4, 5, 2] ------------- = --------- [14, 18, 16] [14, 16] denominator=, [14, 18, 18] [7, 16, 18, 9] [7, 16, 9] -------------- = ---------- [14, 18, 18] [14, 18] denominator=, [14, 19, 0] [2, 19, 16] [2, 16] ----------- = ------- [14, 19, 0] [14, 0] [5, 19, 12] [5, 12] ----------- = ------- [14, 19, 0] [14, 0] [8, 19, 8] [8, 8] ----------- = ------- [14, 19, 0] [14, 0] [11, 19, 4] [11, 4] ----------- = ------- [14, 19, 0] [14, 0] denominator=, [14, 19, 2] [4, 19, 14] [4, 14] ----------- = ------- [14, 19, 2] [14, 2] [9, 19, 8] [9, 8] ----------- = ------- [14, 19, 2] [14, 2] denominator=, [14, 19, 8] [4, 19, 16] [4, 16] ----------- = ------- [14, 19, 8] [14, 8] [9, 19, 12] [9, 12] ----------- = ------- [14, 19, 8] [14, 8] [19, 19, 4] [19, 4] ----------- = ------- [14, 19, 8] [14, 8] [1, 4, 19, 0] [1, 4, 0] ------------- = --------- [14, 19, 8] [14, 8] denominator=, [14, 19, 10] [2, 19, 18] [2, 18] ------------ = -------- [14, 19, 10] [14, 10] [5, 19, 16] [5, 16] ------------ = -------- [14, 19, 10] [14, 10] [8, 19, 14] [8, 14] ------------ = -------- [14, 19, 10] [14, 10] [11, 19, 12] [11, 12] ------------ = -------- [14, 19, 10] [14, 10] [17, 19, 8] [17, 8] ------------ = -------- [14, 19, 10] [14, 10] [1, 0, 19, 6] [1, 0, 6] ------------- = --------- [14, 19, 10] [14, 10] [1, 3, 19, 4] [1, 3, 4] ------------- = --------- [14, 19, 10] [14, 10] [1, 6, 19, 2] [1, 6, 2] ------------- = --------- [14, 19, 10] [14, 10] denominator=, [14, 19, 11] [4, 19, 17] [4, 17] ------------ = -------- [14, 19, 11] [14, 11] [9, 19, 14] [9, 14] ------------ = -------- [14, 19, 11] [14, 11] [19, 19, 8] [19, 8] ------------ = -------- [14, 19, 11] [14, 11] [1, 4, 19, 5] [1, 4, 5] ------------- = --------- [14, 19, 11] [14, 11] denominator=, [14, 19, 14] [4, 19, 18] [4, 18] ------------ = -------- [14, 19, 14] [14, 14] [9, 19, 16] [9, 16] ------------ = -------- [14, 19, 14] [14, 14] [19, 19, 12] [19, 12] ------------ = -------- [14, 19, 14] [14, 14] [1, 4, 19, 10] [1, 4, 10] -------------- = ---------- [14, 19, 14] [14, 14] [1, 14, 19, 6] [1, 14, 6] -------------- = ---------- [14, 19, 14] [14, 14] [1, 19, 19, 4] [1, 19, 4] -------------- = ---------- [14, 19, 14] [14, 14] [2, 9, 19, 0] [2, 9, 0] ------------- = --------- [14, 19, 14] [14, 14] denominator=, [14, 19, 15] [2, 19, 19] [2, 19] ------------ = -------- [14, 19, 15] [14, 15] [5, 19, 18] [5, 18] ------------ = -------- [14, 19, 15] [14, 15] [8, 19, 17] [8, 17] ------------ = -------- [14, 19, 15] [14, 15] [11, 19, 16] [11, 16] ------------ = -------- [14, 19, 15] [14, 15] [17, 19, 14] [17, 14] ------------ = -------- [14, 19, 15] [14, 15] [1, 0, 19, 13] [1, 0, 13] -------------- = ---------- [14, 19, 15] [14, 15] [1, 3, 19, 12] [1, 3, 12] -------------- = ---------- [14, 19, 15] [14, 15] [1, 6, 19, 11] [1, 6, 11] -------------- = ---------- [14, 19, 15] [14, 15] [1, 12, 19, 9] [1, 12, 9] -------------- = ---------- [14, 19, 15] [14, 15] [1, 15, 19, 8] [1, 15, 8] -------------- = ---------- [14, 19, 15] [14, 15] [1, 18, 19, 7] [1, 18, 7] -------------- = ---------- [14, 19, 15] [14, 15] [2, 1, 19, 6] [2, 1, 6] ------------- = --------- [14, 19, 15] [14, 15] [2, 7, 19, 4] [2, 7, 4] ------------- = --------- [14, 19, 15] [14, 15] [2, 10, 19, 3] [2, 10, 3] -------------- = ---------- [14, 19, 15] [14, 15] [2, 13, 19, 2] [2, 13, 2] -------------- = ---------- [14, 19, 15] [14, 15] [2, 16, 19, 1] [2, 16, 1] -------------- = ---------- [14, 19, 15] [14, 15] denominator=, [14, 19, 17] [4, 19, 19] [4, 19] ------------ = -------- [14, 19, 17] [14, 17] [9, 19, 18] [9, 18] ------------ = -------- [14, 19, 17] [14, 17] [19, 19, 16] [19, 16] ------------ = -------- [14, 19, 17] [14, 17] [1, 4, 19, 15] [1, 4, 15] -------------- = ---------- [14, 19, 17] [14, 17] [1, 14, 19, 13] [1, 14, 13] --------------- = ----------- [14, 19, 17] [14, 17] [1, 19, 19, 12] [1, 19, 12] --------------- = ----------- [14, 19, 17] [14, 17] [2, 9, 19, 10] [2, 9, 10] -------------- = ---------- [14, 19, 17] [14, 17] [2, 14, 19, 9] [2, 14, 9] -------------- = ---------- [14, 19, 17] [14, 17] [3, 4, 19, 7] [3, 4, 7] ------------- = --------- [14, 19, 17] [14, 17] [3, 9, 19, 6] [3, 9, 6] ------------- = --------- [14, 19, 17] [14, 17] [3, 19, 19, 4] [3, 19, 4] -------------- = ---------- [14, 19, 17] [14, 17] [4, 4, 19, 3] [4, 4, 3] ------------- = --------- [14, 19, 17] [14, 17] [4, 14, 19, 1] [4, 14, 1] -------------- = ---------- [14, 19, 17] [14, 17] [4, 19, 19, 0] [4, 19, 0] -------------- = ---------- [14, 19, 17] [14, 17] denominator=, [15, 3, 3] [5, 11, 3, 2] [5, 11, 2] ------------- = ---------- [15, 3, 3] [15, 3] [10, 7, 3, 1] [10, 7, 1] ------------- = ---------- [15, 3, 3] [15, 3] denominator=, [15, 5, 5] [3, 13, 5, 4] [3, 13, 4] ------------- = ---------- [15, 5, 5] [15, 5] [6, 11, 5, 3] [6, 11, 3] ------------- = ---------- [15, 5, 5] [15, 5] [9, 9, 5, 2] [9, 9, 2] ------------ = --------- [15, 5, 5] [15, 5] [12, 7, 5, 1] [12, 7, 1] ------------- = ---------- [15, 5, 5] [15, 5] denominator=, [15, 6, 6] [5, 12, 6, 4] [5, 12, 4] ------------- = ---------- [15, 6, 6] [15, 6] [10, 9, 6, 2] [10, 9, 2] ------------- = ---------- [15, 6, 6] [15, 6] denominator=, [15, 9, 8] [1, 16, 9, 6] [1, 16, 6] ------------- = ---------- [15, 9, 8] [15, 8] [2, 17, 9, 4] [2, 17, 4] ------------- = ---------- [15, 9, 8] [15, 8] [3, 18, 9, 2] [3, 18, 2] ------------- = ---------- [15, 9, 8] [15, 8] [4, 19, 9, 0] [4, 19, 0] ------------- = ---------- [15, 9, 8] [15, 8] denominator=, [15, 9, 9] [5, 13, 9, 6] [5, 13, 6] ------------- = ---------- [15, 9, 9] [15, 9] [10, 11, 9, 3] [10, 11, 3] -------------- = ----------- [15, 9, 9] [15, 9] denominator=, [15, 10, 10] [3, 14, 10, 8] [3, 14, 8] -------------- = ---------- [15, 10, 10] [15, 10] [6, 13, 10, 6] [6, 13, 6] -------------- = ---------- [15, 10, 10] [15, 10] [9, 12, 10, 4] [9, 12, 4] -------------- = ---------- [15, 10, 10] [15, 10] [12, 11, 10, 2] [12, 11, 2] --------------- = ----------- [15, 10, 10] [15, 10] denominator=, [15, 12, 8] [2, 2, 12, 0] [2, 2, 0] ------------- = --------- [15, 12, 8] [15, 8] denominator=, [15, 12, 12] [5, 14, 12, 8] [5, 14, 8] -------------- = ---------- [15, 12, 12] [15, 12] [10, 13, 12, 4] [10, 13, 4] --------------- = ----------- [15, 12, 12] [15, 12] denominator=, [15, 14, 12] [1, 18, 14, 8] [1, 18, 8] -------------- = ---------- [15, 14, 12] [15, 12] [3, 1, 14, 4] [3, 1, 4] ------------- = --------- [15, 14, 12] [15, 12] [4, 4, 14, 0] [4, 4, 0] ------------- = --------- [15, 14, 12] [15, 12] denominator=, [15, 15, 12] [2, 0, 15, 6] [2, 0, 6] ------------- = --------- [15, 15, 12] [15, 12] [3, 5, 15, 0] [3, 5, 0] ------------- = --------- [15, 15, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [15, 16, 15] [2, 18, 16, 10] [2, 18, 10] --------------- = ----------- [15, 16, 15] [15, 15] [5, 1, 16, 5] [5, 1, 5] ------------- = --------- [15, 16, 15] [15, 15] [7, 4, 16, 0] [7, 4, 0] ------------- = --------- [15, 16, 15] [15, 15] denominator=, [15, 18, 18] [5, 16, 18, 12] [5, 16, 12] --------------- = ----------- [15, 18, 18] [15, 18] [10, 17, 18, 6] [10, 17, 6] --------------- = ----------- [15, 18, 18] [15, 18] denominator=, [15, 19, 0] [3, 19, 15] [3, 15] ----------- = ------- [15, 19, 0] [15, 0] [7, 19, 10] [7, 10] ----------- = ------- [15, 19, 0] [15, 0] [11, 19, 5] [11, 5] ----------- = ------- [15, 19, 0] [15, 0] denominator=, [15, 19, 2] [7, 19, 11] [7, 11] ----------- = ------- [15, 19, 2] [15, 2] denominator=, [15, 19, 6] [7, 19, 13] [7, 13] ----------- = ------- [15, 19, 6] [15, 6] denominator=, [15, 19, 8] [3, 19, 17] [3, 17] ----------- = ------- [15, 19, 8] [15, 8] [7, 19, 14] [7, 14] ----------- = ------- [15, 19, 8] [15, 8] [11, 19, 11] [11, 11] ------------ = -------- [15, 19, 8] [15, 8] [19, 19, 5] [19, 5] ----------- = ------- [15, 19, 8] [15, 8] [1, 3, 19, 2] [1, 3, 2] ------------- = --------- [15, 19, 8] [15, 8] denominator=, [15, 19, 10] [7, 19, 15] [7, 15] ------------ = -------- [15, 19, 10] [15, 10] [1, 3, 19, 5] [1, 3, 5] ------------- = --------- [15, 19, 10] [15, 10] denominator=, [15, 19, 12] [1, 19, 19] [1, 19] ------------ = -------- [15, 19, 12] [15, 12] [3, 19, 18] [3, 18] ------------ = -------- [15, 19, 12] [15, 12] [5, 19, 17] [5, 17] ------------ = -------- [15, 19, 12] [15, 12] [7, 19, 16] [7, 16] ------------ = -------- [15, 19, 12] [15, 12] [9, 19, 15] [9, 15] ------------ = -------- [15, 19, 12] [15, 12] [11, 19, 14] [11, 14] ------------ = -------- [15, 19, 12] [15, 12] [13, 19, 13] [13, 13] ------------ = -------- [15, 19, 12] [15, 12] [17, 19, 11] [17, 11] ------------ = -------- [15, 19, 12] [15, 12] [19, 19, 10] [19, 10] ------------ = -------- [15, 19, 12] [15, 12] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [15, 19, 12] [15, 12] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [15, 19, 12] [15, 12] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [15, 19, 12] [15, 12] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [15, 19, 12] [15, 12] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [15, 19, 12] [15, 12] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [15, 19, 12] [15, 12] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [15, 19, 12] [15, 12] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [15, 19, 12] [15, 12] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [15, 19, 12] [15, 12] denominator=, [15, 19, 14] [7, 19, 17] [7, 17] ------------ = -------- [15, 19, 14] [15, 14] [1, 3, 19, 11] [1, 3, 11] -------------- = ---------- [15, 19, 14] [15, 14] [1, 19, 19, 5] [1, 19, 5] -------------- = ---------- [15, 19, 14] [15, 14] denominator=, [15, 19, 16] [3, 19, 19] [3, 19] ------------ = -------- [15, 19, 16] [15, 16] [7, 19, 18] [7, 18] ------------ = -------- [15, 19, 16] [15, 16] [11, 19, 17] [11, 17] ------------ = -------- [15, 19, 16] [15, 16] [19, 19, 15] [19, 15] ------------ = -------- [15, 19, 16] [15, 16] [1, 3, 19, 14] [1, 3, 14] -------------- = ---------- [15, 19, 16] [15, 16] [1, 7, 19, 13] [1, 7, 13] -------------- = ---------- [15, 19, 16] [15, 16] [1, 15, 19, 11] [1, 15, 11] --------------- = ----------- [15, 19, 16] [15, 16] [1, 19, 19, 10] [1, 19, 10] --------------- = ----------- [15, 19, 16] [15, 16] [2, 3, 19, 9] [2, 3, 9] ------------- = --------- [15, 19, 16] [15, 16] [2, 11, 19, 7] [2, 11, 7] -------------- = ---------- [15, 19, 16] [15, 16] [2, 15, 19, 6] [2, 15, 6] -------------- = ---------- [15, 19, 16] [15, 16] [2, 19, 19, 5] [2, 19, 5] -------------- = ---------- [15, 19, 16] [15, 16] [3, 7, 19, 3] [3, 7, 3] ------------- = --------- [15, 19, 16] [15, 16] [3, 11, 19, 2] [3, 11, 2] -------------- = ---------- [15, 19, 16] [15, 16] [3, 15, 19, 1] [3, 15, 1] -------------- = ---------- [15, 19, 16] [15, 16] denominator=, [15, 19, 18] [7, 19, 19] [7, 19] ------------ = -------- [15, 19, 18] [15, 18] [1, 3, 19, 17] [1, 3, 17] -------------- = ---------- [15, 19, 18] [15, 18] [1, 19, 19, 15] [1, 19, 15] --------------- = ----------- [15, 19, 18] [15, 18] [2, 15, 19, 13] [2, 15, 13] --------------- = ----------- [15, 19, 18] [15, 18] [3, 11, 19, 11] [3, 11, 11] --------------- = ----------- [15, 19, 18] [15, 18] [4, 7, 19, 9] [4, 7, 9] ------------- = --------- [15, 19, 18] [15, 18] [5, 3, 19, 7] [5, 3, 7] ------------- = --------- [15, 19, 18] [15, 18] [5, 19, 19, 5] [5, 19, 5] -------------- = ---------- [15, 19, 18] [15, 18] [6, 15, 19, 3] [6, 15, 3] -------------- = ---------- [15, 19, 18] [15, 18] [7, 11, 19, 1] [7, 11, 1] -------------- = ---------- [15, 19, 18] [15, 18] denominator=, [16, 2, 2] [8, 9, 2, 1] [8, 9, 1] ------------ = --------- [16, 2, 2] [16, 2] denominator=, [16, 4, 4] [4, 13, 4, 3] [4, 13, 3] ------------- = ---------- [16, 4, 4] [16, 4] [8, 10, 4, 2] [8, 10, 2] ------------- = ---------- [16, 4, 4] [16, 4] [12, 7, 4, 1] [12, 7, 1] ------------- = ---------- [16, 4, 4] [16, 4] denominator=, [16, 6, 5] [3, 18, 6, 0] [3, 18, 0] ------------- = ---------- [16, 6, 5] [16, 5] denominator=, [16, 6, 6] [8, 11, 6, 3] [8, 11, 3] ------------- = ---------- [16, 6, 6] [16, 6] denominator=, [16, 8, 5] [2, 0, 8, 0] [2, 0, 0] ------------ = --------- [16, 8, 5] [16, 5] denominator=, [16, 8, 8] [2, 15, 8, 7] [2, 15, 7] ------------- = ---------- [16, 8, 8] [16, 8] [4, 14, 8, 6] [4, 14, 6] ------------- = ---------- [16, 8, 8] [16, 8] [6, 13, 8, 5] [6, 13, 5] ------------- = ---------- [16, 8, 8] [16, 8] [8, 12, 8, 4] [8, 12, 4] ------------- = ---------- [16, 8, 8] [16, 8] [10, 11, 8, 3] [10, 11, 3] -------------- = ----------- [16, 8, 8] [16, 8] [12, 10, 8, 2] [12, 10, 2] -------------- = ----------- [16, 8, 8] [16, 8] [14, 9, 8, 1] [14, 9, 1] ------------- = ---------- [16, 8, 8] [16, 8] denominator=, [16, 10, 10] [8, 13, 10, 5] [8, 13, 5] -------------- = ---------- [16, 10, 10] [16, 10] denominator=, [16, 11, 9] [3, 1, 11, 2] [3, 1, 2] ------------- = --------- [16, 11, 9] [16, 9] denominator=, [16, 11, 10] [1, 17, 11, 8] [1, 17, 8] -------------- = ---------- [16, 11, 10] [16, 10] [2, 18, 11, 6] [2, 18, 6] -------------- = ---------- [16, 11, 10] [16, 10] [3, 19, 11, 4] [3, 19, 4] -------------- = ---------- [16, 11, 10] [16, 10] [5, 0, 11, 2] [5, 0, 2] ------------- = --------- [16, 11, 10] [16, 10] [6, 1, 11, 0] [6, 1, 0] ------------- = --------- [16, 11, 10] [16, 10] denominator=, [16, 12, 12] [4, 15, 12, 9] [4, 15, 9] -------------- = ---------- [16, 12, 12] [16, 12] [8, 14, 12, 6] [8, 14, 6] -------------- = ---------- [16, 12, 12] [16, 12] [12, 13, 12, 3] [12, 13, 3] --------------- = ----------- [16, 12, 12] [16, 12] denominator=, [16, 14, 13] [6, 2, 14, 2] [6, 2, 2] ------------- = --------- [16, 14, 13] [16, 13] denominator=, [16, 14, 14] [8, 15, 14, 7] [8, 15, 7] -------------- = ---------- [16, 14, 14] [16, 14] denominator=, [16, 15, 10] [2, 5, 15, 0] [2, 5, 0] ------------- = --------- [16, 15, 10] [16, 10] denominator=, [16, 16, 15] [4, 0, 16, 8] [4, 0, 8] ------------- = --------- [16, 16, 15] [16, 15] [7, 4, 16, 1] [7, 4, 1] ------------- = --------- [16, 16, 15] [16, 15] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [16, 17, 16] [6, 3, 17, 4] [6, 3, 4] ------------- = --------- [16, 17, 16] [16, 16] denominator=, [16, 18, 16] [1, 19, 18, 12] [1, 19, 12] --------------- = ----------- [16, 18, 16] [16, 16] [3, 2, 18, 8] [3, 2, 8] ------------- = --------- [16, 18, 16] [16, 16] [4, 5, 18, 4] [4, 5, 4] ------------- = --------- [16, 18, 16] [16, 16] [5, 8, 18, 0] [5, 8, 0] ------------- = --------- [16, 18, 16] [16, 16] denominator=, [16, 18, 18] [8, 17, 18, 9] [8, 17, 9] -------------- = ---------- [16, 18, 18] [16, 18] denominator=, [17, 5, 4] [2, 18, 5, 1] [2, 18, 1] ------------- = ---------- [17, 5, 4] [17, 4] denominator=, [17, 7, 5] [1, 19, 7, 2] [1, 19, 2] ------------- = ---------- [17, 7, 5] [17, 5] denominator=, [17, 9, 8] [5, 0, 9, 1] [5, 0, 1] ------------ = --------- [17, 9, 8] [17, 8] denominator=, [17, 12, 10] [4, 4, 12, 0] [4, 4, 0] ------------- = --------- [17, 12, 10] [17, 10] denominator=, [17, 13, 10] [2, 1, 13, 5] [2, 1, 5] ------------- = --------- [17, 13, 10] [17, 10] [3, 5, 13, 0] [3, 5, 0] ------------- = --------- [17, 13, 10] [17, 10] denominator=, [17, 13, 12] [1, 18, 13, 10] [1, 18, 10] --------------- = ----------- [17, 13, 12] [17, 12] [2, 19, 13, 8] [2, 19, 8] -------------- = ---------- [17, 13, 12] [17, 12] [4, 0, 13, 6] [4, 0, 6] ------------- = --------- [17, 13, 12] [17, 12] [5, 1, 13, 4] [5, 1, 4] ------------- = --------- [17, 13, 12] [17, 12] [6, 2, 13, 2] [6, 2, 2] ------------- = --------- [17, 13, 12] [17, 12] [7, 3, 13, 0] [7, 3, 0] ------------- = --------- [17, 13, 12] [17, 12] denominator=, [17, 15, 11] [2, 3, 15, 4] [2, 3, 4] ------------- = --------- [17, 15, 11] [17, 11] denominator=, [17, 17, 15] [4, 5, 17, 4] [4, 5, 4] ------------- = --------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [5, 2, 17, 7] [5, 2, 7] ------------- = --------- [17, 17, 16] [17, 16] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [17, 18, 12] [2, 8, 18, 0] [2, 8, 0] ------------- = --------- [17, 18, 12] [17, 12] denominator=, [17, 19, 0] [8, 19, 10] [8, 10] ----------- = ------- [17, 19, 0] [17, 0] denominator=, [17, 19, 4] [8, 19, 12] [8, 12] ----------- = ------- [17, 19, 4] [17, 4] denominator=, [17, 19, 5] [5, 19, 15] [5, 15] ----------- = ------- [17, 19, 5] [17, 5] [11, 19, 10] [11, 10] ------------ = -------- [17, 19, 5] [17, 5] [1, 3, 19, 0] [1, 3, 0] ------------- = --------- [17, 19, 5] [17, 5] denominator=, [17, 19, 6] [8, 19, 13] [8, 13] ----------- = ------- [17, 19, 6] [17, 6] denominator=, [17, 19, 8] [2, 19, 18] [2, 18] ----------- = ------- [17, 19, 8] [17, 8] [5, 19, 16] [5, 16] ----------- = ------- [17, 19, 8] [17, 8] [8, 19, 14] [8, 14] ----------- = ------- [17, 19, 8] [17, 8] [11, 19, 12] [11, 12] ------------ = -------- [17, 19, 8] [17, 8] [14, 19, 10] [14, 10] ------------ = -------- [17, 19, 8] [17, 8] [1, 0, 19, 6] [1, 0, 6] ------------- = --------- [17, 19, 8] [17, 8] [1, 3, 19, 4] [1, 3, 4] ------------- = --------- [17, 19, 8] [17, 8] [1, 6, 19, 2] [1, 6, 2] ------------- = --------- [17, 19, 8] [17, 8] [1, 9, 19, 0] [1, 9, 0] ------------- = --------- [17, 19, 8] [17, 8] denominator=, [17, 19, 10] [8, 19, 15] [8, 15] ------------ = -------- [17, 19, 10] [17, 10] [1, 6, 19, 5] [1, 6, 5] ------------- = --------- [17, 19, 10] [17, 10] denominator=, [17, 19, 11] [1, 19, 19] [1, 19] ------------ = -------- [17, 19, 11] [17, 11] [3, 19, 18] [3, 18] ------------ = -------- [17, 19, 11] [17, 11] [5, 19, 17] [5, 17] ------------ = -------- [17, 19, 11] [17, 11] [7, 19, 16] [7, 16] ------------ = -------- [17, 19, 11] [17, 11] [9, 19, 15] [9, 15] ------------ = -------- [17, 19, 11] [17, 11] [11, 19, 14] [11, 14] ------------ = -------- [17, 19, 11] [17, 11] [13, 19, 13] [13, 13] ------------ = -------- [17, 19, 11] [17, 11] [15, 19, 12] [15, 12] ------------ = -------- [17, 19, 11] [17, 11] [19, 19, 10] [19, 10] ------------ = -------- [17, 19, 11] [17, 11] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [17, 19, 11] [17, 11] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [17, 19, 11] [17, 11] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [17, 19, 11] [17, 11] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [17, 19, 11] [17, 11] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [17, 19, 11] [17, 11] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [17, 19, 11] [17, 11] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [17, 19, 11] [17, 11] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [17, 19, 11] [17, 11] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [17, 19, 11] [17, 11] denominator=, [17, 19, 12] [8, 19, 16] [8, 16] ------------ = -------- [17, 19, 12] [17, 12] [1, 6, 19, 8] [1, 6, 8] ------------- = --------- [17, 19, 12] [17, 12] [2, 4, 19, 0] [2, 4, 0] ------------- = --------- [17, 19, 12] [17, 12] denominator=, [17, 19, 14] [2, 19, 19] [2, 19] ------------ = -------- [17, 19, 14] [17, 14] [5, 19, 18] [5, 18] ------------ = -------- [17, 19, 14] [17, 14] [8, 19, 17] [8, 17] ------------ = -------- [17, 19, 14] [17, 14] [11, 19, 16] [11, 16] ------------ = -------- [17, 19, 14] [17, 14] [14, 19, 15] [14, 15] ------------ = -------- [17, 19, 14] [17, 14] [1, 0, 19, 13] [1, 0, 13] -------------- = ---------- [17, 19, 14] [17, 14] [1, 3, 19, 12] [1, 3, 12] -------------- = ---------- [17, 19, 14] [17, 14] [1, 6, 19, 11] [1, 6, 11] -------------- = ---------- [17, 19, 14] [17, 14] [1, 9, 19, 10] [1, 9, 10] -------------- = ---------- [17, 19, 14] [17, 14] [1, 12, 19, 9] [1, 12, 9] -------------- = ---------- [17, 19, 14] [17, 14] [1, 18, 19, 7] [1, 18, 7] -------------- = ---------- [17, 19, 14] [17, 14] [2, 1, 19, 6] [2, 1, 6] ------------- = --------- [17, 19, 14] [17, 14] [2, 4, 19, 5] [2, 4, 5] ------------- = --------- [17, 19, 14] [17, 14] [2, 7, 19, 4] [2, 7, 4] ------------- = --------- [17, 19, 14] [17, 14] [2, 10, 19, 3] [2, 10, 3] -------------- = ---------- [17, 19, 14] [17, 14] [2, 16, 19, 1] [2, 16, 1] -------------- = ---------- [17, 19, 14] [17, 14] [2, 19, 19, 0] [2, 19, 0] -------------- = ---------- [17, 19, 14] [17, 14] denominator=, [17, 19, 16] [8, 19, 18] [8, 18] ------------ = -------- [17, 19, 16] [17, 16] [1, 6, 19, 14] [1, 6, 14] -------------- = ---------- [17, 19, 16] [17, 16] [2, 4, 19, 10] [2, 4, 10] -------------- = ---------- [17, 19, 16] [17, 16] [3, 2, 19, 6] [3, 2, 6] ------------- = --------- [17, 19, 16] [17, 16] [4, 0, 19, 2] [4, 0, 2] ------------- = --------- [17, 19, 16] [17, 16] denominator=, [17, 19, 17] [5, 19, 19] [5, 19] ------------ = -------- [17, 19, 17] [17, 17] [11, 19, 18] [11, 18] ------------ = -------- [17, 19, 17] [17, 17] [1, 3, 19, 16] [1, 3, 16] -------------- = ---------- [17, 19, 17] [17, 17] [1, 9, 19, 15] [1, 9, 15] -------------- = ---------- [17, 19, 17] [17, 17] [2, 1, 19, 13] [2, 1, 13] -------------- = ---------- [17, 19, 17] [17, 17] [2, 7, 19, 12] [2, 7, 12] -------------- = ---------- [17, 19, 17] [17, 17] [2, 19, 19, 10] [2, 19, 10] --------------- = ----------- [17, 19, 17] [17, 17] [3, 5, 19, 9] [3, 5, 9] ------------- = --------- [17, 19, 17] [17, 17] [3, 17, 19, 7] [3, 17, 7] -------------- = ---------- [17, 19, 17] [17, 17] [4, 3, 19, 6] [4, 3, 6] ------------- = --------- [17, 19, 17] [17, 17] [4, 15, 19, 4] [4, 15, 4] -------------- = ---------- [17, 19, 17] [17, 17] [5, 1, 19, 3] [5, 1, 3] ------------- = --------- [17, 19, 17] [17, 17] [5, 13, 19, 1] [5, 13, 1] -------------- = ---------- [17, 19, 17] [17, 17] [5, 19, 19, 0] [5, 19, 0] -------------- = ---------- [17, 19, 17] [17, 17] denominator=, [17, 19, 18] [8, 19, 19] [8, 19] ------------ = -------- [17, 19, 18] [17, 18] [1, 6, 19, 17] [1, 6, 17] -------------- = ---------- [17, 19, 18] [17, 18] [2, 4, 19, 15] [2, 4, 15] -------------- = ---------- [17, 19, 18] [17, 18] [3, 2, 19, 13] [3, 2, 13] -------------- = ---------- [17, 19, 18] [17, 18] [4, 0, 19, 11] [4, 0, 11] -------------- = ---------- [17, 19, 18] [17, 18] [4, 18, 19, 9] [4, 18, 9] -------------- = ---------- [17, 19, 18] [17, 18] [5, 16, 19, 7] [5, 16, 7] -------------- = ---------- [17, 19, 18] [17, 18] [6, 14, 19, 5] [6, 14, 5] -------------- = ---------- [17, 19, 18] [17, 18] [7, 12, 19, 3] [7, 12, 3] -------------- = ---------- [17, 19, 18] [17, 18] [8, 10, 19, 1] [8, 10, 1] -------------- = ---------- [17, 19, 18] [17, 18] denominator=, [18, 2, 2] [9, 10, 2, 1] [9, 10, 1] ------------- = ---------- [18, 2, 2] [18, 2] denominator=, [18, 3, 3] [6, 13, 3, 2] [6, 13, 2] ------------- = ---------- [18, 3, 3] [18, 3] [12, 8, 3, 1] [12, 8, 1] ------------- = ---------- [18, 3, 3] [18, 3] denominator=, [18, 4, 4] [9, 11, 4, 2] [9, 11, 2] ------------- = ---------- [18, 4, 4] [18, 4] denominator=, [18, 6, 6] [3, 16, 6, 5] [3, 16, 5] ------------- = ---------- [18, 6, 6] [18, 6] [6, 14, 6, 4] [6, 14, 4] ------------- = ---------- [18, 6, 6] [18, 6] [9, 12, 6, 3] [9, 12, 3] ------------- = ---------- [18, 6, 6] [18, 6] [12, 10, 6, 2] [12, 10, 2] -------------- = ----------- [18, 6, 6] [18, 6] [15, 8, 6, 1] [15, 8, 1] ------------- = ---------- [18, 6, 6] [18, 6] denominator=, [18, 8, 8] [9, 13, 8, 4] [9, 13, 4] ------------- = ---------- [18, 8, 8] [18, 8] denominator=, [18, 9, 9] [2, 17, 9, 8] [2, 17, 8] ------------- = ---------- [18, 9, 9] [18, 9] [4, 16, 9, 7] [4, 16, 7] ------------- = ---------- [18, 9, 9] [18, 9] [6, 15, 9, 6] [6, 15, 6] ------------- = ---------- [18, 9, 9] [18, 9] [8, 14, 9, 5] [8, 14, 5] ------------- = ---------- [18, 9, 9] [18, 9] [10, 13, 9, 4] [10, 13, 4] -------------- = ----------- [18, 9, 9] [18, 9] [12, 12, 9, 3] [12, 12, 3] -------------- = ----------- [18, 9, 9] [18, 9] [14, 11, 9, 2] [14, 11, 2] -------------- = ----------- [18, 9, 9] [18, 9] [16, 10, 9, 1] [16, 10, 1] -------------- = ----------- [18, 9, 9] [18, 9] denominator=, [18, 10, 8] [2, 0, 10, 5] [2, 0, 5] ------------- = --------- [18, 10, 8] [18, 8] [3, 2, 10, 2] [3, 2, 2] ------------- = --------- [18, 10, 8] [18, 8] denominator=, [18, 10, 10] [9, 14, 10, 5] [9, 14, 5] -------------- = ---------- [18, 10, 10] [18, 10] denominator=, [18, 12, 12] [3, 17, 12, 10] [3, 17, 10] --------------- = ----------- [18, 12, 12] [18, 12] [6, 16, 12, 8] [6, 16, 8] -------------- = ---------- [18, 12, 12] [18, 12] [9, 15, 12, 6] [9, 15, 6] -------------- = ---------- [18, 12, 12] [18, 12] [12, 14, 12, 4] [12, 14, 4] --------------- = ----------- [18, 12, 12] [18, 12] [15, 13, 12, 2] [15, 13, 2] --------------- = ----------- [18, 12, 12] [18, 12] denominator=, [18, 14, 14] [9, 16, 14, 7] [9, 16, 7] -------------- = ---------- [18, 14, 14] [18, 14] denominator=, [18, 15, 14] [1, 19, 15, 12] [1, 19, 12] --------------- = ----------- [18, 15, 14] [18, 14] [3, 0, 15, 10] [3, 0, 10] -------------- = ---------- [18, 15, 14] [18, 14] [4, 1, 15, 8] [4, 1, 8] ------------- = --------- [18, 15, 14] [18, 14] [5, 2, 15, 6] [5, 2, 6] ------------- = --------- [18, 15, 14] [18, 14] [6, 3, 15, 4] [6, 3, 4] ------------- = --------- [18, 15, 14] [18, 14] [7, 4, 15, 2] [7, 4, 2] ------------- = --------- [18, 15, 14] [18, 14] [8, 5, 15, 0] [8, 5, 0] ------------- = --------- [18, 15, 14] [18, 14] denominator=, [18, 15, 15] [6, 17, 15, 10] [6, 17, 10] --------------- = ----------- [18, 15, 15] [18, 15] [12, 16, 15, 5] [12, 16, 5] --------------- = ----------- [18, 15, 15] [18, 15] denominator=, [18, 16, 16] [9, 17, 16, 8] [9, 17, 8] -------------- = ---------- [18, 16, 16] [18, 16] denominator=, [18, 18, 12] [2, 8, 18, 1] [2, 8, 1] ------------- = --------- [18, 18, 12] [18, 12] denominator=, [18, 18, 15] [2, 2, 18, 10] [2, 2, 10] -------------- = ---------- [18, 18, 15] [18, 15] [3, 6, 18, 5] [3, 6, 5] ------------- = --------- [18, 18, 15] [18, 15] [4, 10, 18, 0] [4, 10, 0] -------------- = ---------- [18, 18, 15] [18, 15] denominator=, [18, 18, 16] [3, 3, 18, 9] [3, 3, 9] ------------- = --------- [18, 18, 16] [18, 16] [5, 8, 18, 2] [5, 8, 2] ------------- = --------- [18, 18, 16] [18, 16] denominator=, [18, 18, 18] [1, 18, 18, 17] [1, 18, 17] --------------- = ----------- [18, 18, 18] [18, 18] [2, 18, 18, 16] [2, 18, 16] --------------- = ----------- [18, 18, 18] [18, 18] [3, 18, 18, 15] [3, 18, 15] --------------- = ----------- [18, 18, 18] [18, 18] [4, 18, 18, 14] [4, 18, 14] --------------- = ----------- [18, 18, 18] [18, 18] [5, 18, 18, 13] [5, 18, 13] --------------- = ----------- [18, 18, 18] [18, 18] [6, 18, 18, 12] [6, 18, 12] --------------- = ----------- [18, 18, 18] [18, 18] [7, 18, 18, 11] [7, 18, 11] --------------- = ----------- [18, 18, 18] [18, 18] [8, 18, 18, 10] [8, 18, 10] --------------- = ----------- [18, 18, 18] [18, 18] [9, 18, 18, 9] [9, 18, 9] -------------- = ---------- [18, 18, 18] [18, 18] [10, 18, 18, 8] [10, 18, 8] --------------- = ----------- [18, 18, 18] [18, 18] [11, 18, 18, 7] [11, 18, 7] --------------- = ----------- [18, 18, 18] [18, 18] [12, 18, 18, 6] [12, 18, 6] --------------- = ----------- [18, 18, 18] [18, 18] [13, 18, 18, 5] [13, 18, 5] --------------- = ----------- [18, 18, 18] [18, 18] [14, 18, 18, 4] [14, 18, 4] --------------- = ----------- [18, 18, 18] [18, 18] [15, 18, 18, 3] [15, 18, 3] --------------- = ----------- [18, 18, 18] [18, 18] [16, 18, 18, 2] [16, 18, 2] --------------- = ----------- [18, 18, 18] [18, 18] [17, 18, 18, 1] [17, 18, 1] --------------- = ----------- [18, 18, 18] [18, 18] denominator=, [19, 5, 4] [4, 0, 5, 0] [4, 0, 0] ------------ = --------- [19, 5, 4] [19, 4] denominator=, [19, 7, 4] [2, 2, 7, 0] [2, 2, 0] ------------ = --------- [19, 7, 4] [19, 4] denominator=, [19, 8, 7] [3, 0, 8, 4] [3, 0, 4] ------------ = --------- [19, 8, 7] [19, 7] [5, 1, 8, 1] [5, 1, 1] ------------ = --------- [19, 8, 7] [19, 7] denominator=, [19, 11, 10] [4, 1, 11, 5] [4, 1, 5] ------------- = --------- [19, 11, 10] [19, 10] [7, 3, 11, 0] [7, 3, 0] ------------- = --------- [19, 11, 10] [19, 10] denominator=, [19, 13, 11] [2, 1, 13, 8] [2, 1, 8] ------------- = --------- [19, 13, 11] [19, 11] [3, 3, 13, 5] [3, 3, 5] ------------- = --------- [19, 13, 11] [19, 11] [4, 5, 13, 2] [4, 5, 2] ------------- = --------- [19, 13, 11] [19, 11] denominator=, [19, 14, 10] [2, 4, 14, 4] [2, 4, 4] ------------- = --------- [19, 14, 10] [19, 10] denominator=, [19, 14, 13] [7, 4, 14, 2] [7, 4, 2] ------------- = --------- [19, 14, 13] [19, 13] denominator=, [19, 15, 12] [3, 6, 15, 3] [3, 6, 3] ------------- = --------- [19, 15, 12] [19, 12] denominator=, [19, 16, 10] [2, 8, 16, 0] [2, 8, 0] ------------- = --------- [19, 16, 10] [19, 10] denominator=, [19, 17, 12] [2, 6, 17, 4] [2, 6, 4] ------------- = --------- [19, 17, 12] [19, 12] denominator=, [19, 17, 16] [2, 0, 17, 14] [2, 0, 14] -------------- = ---------- [19, 17, 16] [19, 16] [3, 1, 17, 12] [3, 1, 12] -------------- = ---------- [19, 17, 16] [19, 16] [4, 2, 17, 10] [4, 2, 10] -------------- = ---------- [19, 17, 16] [19, 16] [5, 3, 17, 8] [5, 3, 8] ------------- = --------- [19, 17, 16] [19, 16] [6, 4, 17, 6] [6, 4, 6] ------------- = --------- [19, 17, 16] [19, 16] [7, 5, 17, 4] [7, 5, 4] ------------- = --------- [19, 17, 16] [19, 16] [8, 6, 17, 2] [8, 6, 2] ------------- = --------- [19, 17, 16] [19, 16] [9, 7, 17, 0] [9, 7, 0] ------------- = --------- [19, 17, 16] [19, 16] denominator=, [19, 19, 2] [9, 19, 11] [9, 11] ----------- = ------- [19, 19, 2] [19, 2] denominator=, [19, 19, 4] [4, 19, 16] [4, 16] ----------- = ------- [19, 19, 4] [19, 4] [9, 19, 12] [9, 12] ----------- = ------- [19, 19, 4] [19, 4] [14, 19, 8] [14, 8] ----------- = ------- [19, 19, 4] [19, 4] [1, 4, 19, 0] [1, 4, 0] ------------- = --------- [19, 19, 4] [19, 4] denominator=, [19, 19, 5] [3, 19, 17] [3, 17] ----------- = ------- [19, 19, 5] [19, 5] [7, 19, 14] [7, 14] ----------- = ------- [19, 19, 5] [19, 5] [11, 19, 11] [11, 11] ------------ = -------- [19, 19, 5] [19, 5] [15, 19, 8] [15, 8] ----------- = ------- [19, 19, 5] [19, 5] [1, 3, 19, 2] [1, 3, 2] ------------- = --------- [19, 19, 5] [19, 5] denominator=, [19, 19, 6] [9, 19, 13] [9, 13] ----------- = ------- [19, 19, 6] [19, 6] denominator=, [19, 19, 8] [4, 19, 17] [4, 17] ----------- = ------- [19, 19, 8] [19, 8] [9, 19, 14] [9, 14] ----------- = ------- [19, 19, 8] [19, 8] [14, 19, 11] [14, 11] ------------ = -------- [19, 19, 8] [19, 8] [1, 4, 19, 5] [1, 4, 5] ------------- = --------- [19, 19, 8] [19, 8] [1, 9, 19, 2] [1, 9, 2] ------------- = --------- [19, 19, 8] [19, 8] denominator=, [19, 19, 10] [1, 19, 19] [1, 19] ------------ = -------- [19, 19, 10] [19, 10] [3, 19, 18] [3, 18] ------------ = -------- [19, 19, 10] [19, 10] [5, 19, 17] [5, 17] ------------ = -------- [19, 19, 10] [19, 10] [7, 19, 16] [7, 16] ------------ = -------- [19, 19, 10] [19, 10] [9, 19, 15] [9, 15] ------------ = -------- [19, 19, 10] [19, 10] [11, 19, 14] [11, 14] ------------ = -------- [19, 19, 10] [19, 10] [13, 19, 13] [13, 13] ------------ = -------- [19, 19, 10] [19, 10] [15, 19, 12] [15, 12] ------------ = -------- [19, 19, 10] [19, 10] [17, 19, 11] [17, 11] ------------ = -------- [19, 19, 10] [19, 10] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [19, 19, 10] [19, 10] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [19, 19, 10] [19, 10] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [19, 19, 10] [19, 10] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [19, 19, 10] [19, 10] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [19, 19, 10] [19, 10] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [19, 19, 10] [19, 10] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [19, 19, 10] [19, 10] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [19, 19, 10] [19, 10] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [19, 19, 10] [19, 10] denominator=, [19, 19, 12] [4, 19, 18] [4, 18] ------------ = -------- [19, 19, 12] [19, 12] [9, 19, 16] [9, 16] ------------ = -------- [19, 19, 12] [19, 12] [14, 19, 14] [14, 14] ------------ = -------- [19, 19, 12] [19, 12] [1, 4, 19, 10] [1, 4, 10] -------------- = ---------- [19, 19, 12] [19, 12] [1, 9, 19, 8] [1, 9, 8] ------------- = --------- [19, 19, 12] [19, 12] [1, 14, 19, 6] [1, 14, 6] -------------- = ---------- [19, 19, 12] [19, 12] [2, 4, 19, 2] [2, 4, 2] ------------- = --------- [19, 19, 12] [19, 12] [2, 9, 19, 0] [2, 9, 0] ------------- = --------- [19, 19, 12] [19, 12] denominator=, [19, 19, 14] [9, 19, 17] [9, 17] ------------ = -------- [19, 19, 14] [19, 14] [1, 9, 19, 11] [1, 9, 11] -------------- = ---------- [19, 19, 14] [19, 14] [2, 9, 19, 5] [2, 9, 5] ------------- = --------- [19, 19, 14] [19, 14] denominator=, [19, 19, 15] [3, 19, 19] [3, 19] ------------ = -------- [19, 19, 15] [19, 15] [7, 19, 18] [7, 18] ------------ = -------- [19, 19, 15] [19, 15] [11, 19, 17] [11, 17] ------------ = -------- [19, 19, 15] [19, 15] [15, 19, 16] [15, 16] ------------ = -------- [19, 19, 15] [19, 15] [1, 3, 19, 14] [1, 3, 14] -------------- = ---------- [19, 19, 15] [19, 15] [1, 7, 19, 13] [1, 7, 13] -------------- = ---------- [19, 19, 15] [19, 15] [1, 11, 19, 12] [1, 11, 12] --------------- = ----------- [19, 19, 15] [19, 15] [1, 15, 19, 11] [1, 15, 11] --------------- = ----------- [19, 19, 15] [19, 15] [2, 3, 19, 9] [2, 3, 9] ------------- = --------- [19, 19, 15] [19, 15] [2, 7, 19, 8] [2, 7, 8] ------------- = --------- [19, 19, 15] [19, 15] [2, 11, 19, 7] [2, 11, 7] -------------- = ---------- [19, 19, 15] [19, 15] [2, 15, 19, 6] [2, 15, 6] -------------- = ---------- [19, 19, 15] [19, 15] [3, 3, 19, 4] [3, 3, 4] ------------- = --------- [19, 19, 15] [19, 15] [3, 7, 19, 3] [3, 7, 3] ------------- = --------- [19, 19, 15] [19, 15] [3, 11, 19, 2] [3, 11, 2] -------------- = ---------- [19, 19, 15] [19, 15] [3, 15, 19, 1] [3, 15, 1] -------------- = ---------- [19, 19, 15] [19, 15] denominator=, [19, 19, 16] [4, 19, 19] [4, 19] ------------ = -------- [19, 19, 16] [19, 16] [9, 19, 18] [9, 18] ------------ = -------- [19, 19, 16] [19, 16] [14, 19, 17] [14, 17] ------------ = -------- [19, 19, 16] [19, 16] [1, 4, 19, 15] [1, 4, 15] -------------- = ---------- [19, 19, 16] [19, 16] [1, 9, 19, 14] [1, 9, 14] -------------- = ---------- [19, 19, 16] [19, 16] [1, 14, 19, 13] [1, 14, 13] --------------- = ----------- [19, 19, 16] [19, 16] [2, 4, 19, 11] [2, 4, 11] -------------- = ---------- [19, 19, 16] [19, 16] [2, 9, 19, 10] [2, 9, 10] -------------- = ---------- [19, 19, 16] [19, 16] [2, 14, 19, 9] [2, 14, 9] -------------- = ---------- [19, 19, 16] [19, 16] [3, 4, 19, 7] [3, 4, 7] ------------- = --------- [19, 19, 16] [19, 16] [3, 9, 19, 6] [3, 9, 6] ------------- = --------- [19, 19, 16] [19, 16] [3, 14, 19, 5] [3, 14, 5] -------------- = ---------- [19, 19, 16] [19, 16] [4, 4, 19, 3] [4, 4, 3] ------------- = --------- [19, 19, 16] [19, 16] [4, 9, 19, 2] [4, 9, 2] ------------- = --------- [19, 19, 16] [19, 16] [4, 14, 19, 1] [4, 14, 1] -------------- = ---------- [19, 19, 16] [19, 16] denominator=, [19, 19, 18] [9, 19, 19] [9, 19] ------------ = -------- [19, 19, 18] [19, 18] [1, 9, 19, 17] [1, 9, 17] -------------- = ---------- [19, 19, 18] [19, 18] [2, 9, 19, 15] [2, 9, 15] -------------- = ---------- [19, 19, 18] [19, 18] [3, 9, 19, 13] [3, 9, 13] -------------- = ---------- [19, 19, 18] [19, 18] [4, 9, 19, 11] [4, 9, 11] -------------- = ---------- [19, 19, 18] [19, 18] [5, 9, 19, 9] [5, 9, 9] ------------- = --------- [19, 19, 18] [19, 18] [6, 9, 19, 7] [6, 9, 7] ------------- = --------- [19, 19, 18] [19, 18] [7, 9, 19, 5] [7, 9, 5] ------------- = --------- [19, 19, 18] [19, 18] [8, 9, 19, 3] [8, 9, 3] ------------- = --------- [19, 19, 18] [19, 18] [9, 9, 19, 1] [9, 9, 1] ------------- = --------- [19, 19, 18] [19, 18] ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator=, [1, 2, 1] [2, 2, 0] [2, 0] --------- = ------ [1, 2, 1] [1, 1] [2, 2, 0, 0] [2, 0, 0] ------------ = --------- [1, 2, 1] [1, 1] denominator=, [1, 3, 2] [3, 3, 0] [3, 0] --------- = ------ [1, 3, 2] [1, 2] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [1, 3, 2] [1, 2] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [1, 3, 2] [1, 2] denominator=, [1, 4, 3] [4, 4, 0] [4, 0] --------- = ------ [1, 4, 3] [1, 3] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [1, 4, 3] [1, 3] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [1, 4, 3] [1, 3] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [1, 4, 3] [1, 3] denominator=, [1, 5, 4] [5, 5, 0] [5, 0] --------- = ------ [1, 5, 4] [1, 4] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [1, 5, 4] [1, 4] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [1, 5, 4] [1, 4] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [1, 5, 4] [1, 4] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [1, 5, 4] [1, 4] denominator=, [1, 6, 0] [6, 4, 16] [4, 16] ---------- = ------- [1, 6, 0] [1, 0] denominator=, [1, 6, 5] [6, 6, 0] [6, 0] --------- = ------ [1, 6, 5] [1, 5] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [1, 6, 5] [1, 5] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [1, 6, 5] [1, 5] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [1, 6, 5] [1, 5] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [1, 6, 5] [1, 5] denominator=, [1, 7, 6] [7, 7, 0] [7, 0] --------- = ------ [1, 7, 6] [1, 6] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [1, 7, 6] [1, 6] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [1, 7, 6] [1, 6] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [1, 7, 6] [1, 6] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [1, 7, 6] [1, 6] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [1, 7, 6] [1, 6] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [1, 7, 6] [1, 6] denominator=, [1, 8, 7] [8, 8, 0] [8, 0] --------- = ------ [1, 8, 7] [1, 7] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [1, 8, 7] [1, 7] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [1, 8, 7] [1, 7] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [1, 8, 7] [1, 7] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [1, 8, 7] [1, 7] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [1, 8, 7] [1, 7] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [1, 8, 7] [1, 7] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [1, 8, 7] [1, 7] denominator=, [1, 9, 1] [9, 6, 15] [6, 15] ---------- = ------- [1, 9, 1] [1, 1] denominator=, [1, 9, 8] [9, 9, 0] [9, 0] --------- = ------ [1, 9, 8] [1, 8] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [1, 9, 8] [1, 8] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [1, 9, 8] [1, 8] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [1, 9, 8] [1, 8] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [1, 9, 8] [1, 8] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [1, 9, 8] [1, 8] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [1, 9, 8] [1, 8] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [1, 9, 8] [1, 8] denominator=, [1, 10, 9] [10, 10, 0] [10, 0] ----------- = ------- [1, 10, 9] [1, 9] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [1, 10, 9] [1, 9] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [1, 10, 9] [1, 9] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [1, 10, 9] [1, 9] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [1, 10, 9] [1, 9] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [1, 10, 9] [1, 9] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [1, 10, 9] [1, 9] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [1, 10, 9] [1, 9] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [1, 10, 9] [1, 9] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [1, 10, 9] [1, 9] denominator=, [1, 11, 1] [11, 7, 14] [7, 14] ----------- = ------- [1, 11, 1] [1, 1] denominator=, [1, 11, 4] [11, 8, 16] [8, 16] ----------- = ------- [1, 11, 4] [1, 4] denominator=, [1, 11, 7] [11, 9, 18] [9, 18] ----------- = ------- [1, 11, 7] [1, 7] [2, 11, 4, 2] [2, 4, 2] ------------- = --------- [1, 11, 7] [1, 7] [3, 11, 1, 4] [3, 1, 4] ------------- = --------- [1, 11, 7] [1, 7] denominator=, [1, 11, 10] [11, 11, 0] [11, 0] ----------- = ------- [1, 11, 10] [1, 10] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [1, 11, 10] [1, 10] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [1, 11, 10] [1, 10] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [1, 11, 10] [1, 10] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [1, 11, 10] [1, 10] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [1, 11, 10] [1, 10] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [1, 11, 10] [1, 10] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [1, 11, 10] [1, 10] denominator=, [1, 12, 11] [12, 12, 0] [12, 0] ----------- = ------- [1, 12, 11] [1, 11] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [1, 12, 11] [1, 11] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [1, 12, 11] [1, 11] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [1, 12, 11] [1, 11] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [1, 12, 11] [1, 11] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [1, 12, 11] [1, 11] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [1, 12, 11] [1, 11] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [1, 12, 11] [1, 11] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [1, 12, 11] [1, 11] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [1, 12, 11] [1, 11] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [1, 12, 11] [1, 11] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [1, 12, 11] [1, 11] denominator=, [1, 13, 4] [13, 9, 15] [9, 15] ----------- = ------- [1, 13, 4] [1, 4] denominator=, [1, 13, 8] [3, 13, 1, 5] [3, 1, 5] ------------- = --------- [1, 13, 8] [1, 8] denominator=, [1, 13, 10] [5, 13, 1, 5] [5, 1, 5] ------------- = --------- [1, 13, 10] [1, 10] denominator=, [1, 13, 12] [13, 13, 0] [13, 0] ----------- = ------- [1, 13, 12] [1, 12] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [1, 13, 12] [1, 12] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [1, 13, 12] [1, 12] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [1, 13, 12] [1, 12] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [1, 13, 12] [1, 12] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [1, 13, 12] [1, 12] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [1, 13, 12] [1, 12] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [1, 13, 12] [1, 12] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [1, 13, 12] [1, 12] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [1, 13, 12] [1, 12] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [1, 13, 12] [1, 12] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [1, 13, 12] [1, 12] denominator=, [1, 14, 13] [14, 14, 0] [14, 0] ----------- = ------- [1, 14, 13] [1, 13] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [1, 14, 13] [1, 13] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [1, 14, 13] [1, 13] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [1, 14, 13] [1, 13] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [1, 14, 13] [1, 13] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [1, 14, 13] [1, 13] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [1, 14, 13] [1, 13] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [1, 14, 13] [1, 13] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [1, 14, 13] [1, 13] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [1, 14, 13] [1, 13] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [1, 14, 13] [1, 13] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [1, 14, 13] [1, 13] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [1, 14, 13] [1, 13] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [1, 14, 13] [1, 13] denominator=, [1, 15, 14] [15, 15, 0] [15, 0] ----------- = ------- [1, 15, 14] [1, 14] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [1, 15, 14] [1, 14] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [1, 15, 14] [1, 14] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [1, 15, 14] [1, 14] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [1, 15, 14] [1, 14] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [1, 15, 14] [1, 14] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [1, 15, 14] [1, 14] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [1, 15, 14] [1, 14] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [1, 15, 14] [1, 14] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [1, 15, 14] [1, 14] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [1, 15, 14] [1, 14] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [1, 15, 14] [1, 14] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [1, 15, 14] [1, 14] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [1, 15, 14] [1, 14] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [1, 15, 14] [1, 14] denominator=, [1, 16, 1] [16, 9, 12] [9, 12] ----------- = ------- [1, 16, 1] [1, 1] denominator=, [1, 16, 8] [16, 12, 16] [12, 16] ------------ = -------- [1, 16, 8] [1, 8] [2, 16, 3, 4] [2, 3, 4] ------------- = --------- [1, 16, 8] [1, 8] denominator=, [1, 16, 15] [16, 16, 0] [16, 0] ----------- = ------- [1, 16, 15] [1, 15] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [1, 16, 15] [1, 15] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [1, 16, 15] [1, 15] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [1, 16, 15] [1, 15] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [1, 16, 15] [1, 15] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [1, 16, 15] [1, 15] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [1, 16, 15] [1, 15] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [1, 16, 15] [1, 15] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [1, 16, 15] [1, 15] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [1, 16, 15] [1, 15] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [1, 16, 15] [1, 15] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [1, 16, 15] [1, 15] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [1, 16, 15] [1, 15] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [1, 16, 15] [1, 15] denominator=, [1, 17, 7] [17, 12, 15] [12, 15] ------------ = -------- [1, 17, 7] [1, 7] [2, 17, 1, 5] [2, 1, 5] ------------- = --------- [1, 17, 7] [1, 7] denominator=, [1, 17, 13] [4, 17, 5, 5] [4, 5, 5] ------------- = --------- [1, 17, 13] [1, 13] denominator=, [1, 17, 16] [17, 17, 0] [17, 0] ----------- = ------- [1, 17, 16] [1, 16] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [1, 17, 16] [1, 16] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [1, 17, 16] [1, 16] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [1, 17, 16] [1, 16] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [1, 17, 16] [1, 16] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [1, 17, 16] [1, 16] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [1, 17, 16] [1, 16] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [1, 17, 16] [1, 16] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [1, 17, 16] [1, 16] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [1, 17, 16] [1, 16] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [1, 17, 16] [1, 16] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [1, 17, 16] [1, 16] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [1, 17, 16] [1, 16] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [1, 17, 16] [1, 16] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [1, 17, 16] [1, 16] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [1, 17, 16] [1, 16] denominator=, [1, 18, 17] [18, 18, 0] [18, 0] ----------- = ------- [1, 18, 17] [1, 17] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [1, 18, 17] [1, 17] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [1, 18, 17] [1, 17] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [1, 18, 17] [1, 17] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [1, 18, 17] [1, 17] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [1, 18, 17] [1, 17] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [1, 18, 17] [1, 17] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [1, 18, 17] [1, 17] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [1, 18, 17] [1, 17] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [1, 18, 17] [1, 17] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [1, 18, 17] [1, 17] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [1, 18, 17] [1, 17] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [1, 18, 17] [1, 17] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [1, 18, 17] [1, 17] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [1, 18, 17] [1, 17] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [1, 18, 17] [1, 17] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [1, 18, 17] [1, 17] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [1, 18, 17] [1, 17] denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [2, 3, 1] [3, 3, 0] [3, 0] --------- = ------ [2, 3, 1] [2, 1] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [2, 3, 1] [2, 1] [3, 3, 0, 0] [3, 0, 0] ------------ = --------- [2, 3, 1] [2, 1] denominator=, [2, 4, 2] [4, 4, 0] [4, 0] --------- = ------ [2, 4, 2] [2, 2] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [2, 4, 2] [2, 2] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [2, 4, 2] [2, 2] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [2, 4, 2] [2, 2] denominator=, [2, 5, 3] [5, 5, 0] [5, 0] --------- = ------ [2, 5, 3] [2, 3] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [2, 5, 3] [2, 3] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [2, 5, 3] [2, 3] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [2, 5, 3] [2, 3] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [2, 5, 3] [2, 3] denominator=, [2, 6, 4] [6, 6, 0] [6, 0] --------- = ------ [2, 6, 4] [2, 4] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [2, 6, 4] [2, 4] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [2, 6, 4] [2, 4] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [2, 6, 4] [2, 4] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [2, 6, 4] [2, 4] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [2, 6, 4] [2, 4] denominator=, [2, 7, 5] [7, 7, 0] [7, 0] --------- = ------ [2, 7, 5] [2, 5] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [2, 7, 5] [2, 5] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [2, 7, 5] [2, 5] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [2, 7, 5] [2, 5] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [2, 7, 5] [2, 5] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [2, 7, 5] [2, 5] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [2, 7, 5] [2, 5] denominator=, [2, 8, 6] [8, 8, 0] [8, 0] --------- = ------ [2, 8, 6] [2, 6] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [2, 8, 6] [2, 6] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [2, 8, 6] [2, 6] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [2, 8, 6] [2, 6] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [2, 8, 6] [2, 6] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [2, 8, 6] [2, 6] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [2, 8, 6] [2, 6] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [2, 8, 6] [2, 6] denominator=, [2, 9, 7] [9, 9, 0] [9, 0] --------- = ------ [2, 9, 7] [2, 7] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [2, 9, 7] [2, 7] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [2, 9, 7] [2, 7] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [2, 9, 7] [2, 7] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [2, 9, 7] [2, 7] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [2, 9, 7] [2, 7] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [2, 9, 7] [2, 7] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [2, 9, 7] [2, 7] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [2, 9, 7] [2, 7] denominator=, [2, 10, 2] [10, 8, 15] [8, 15] ----------- = ------- [2, 10, 2] [2, 2] denominator=, [2, 10, 8] [10, 10, 0] [10, 0] ----------- = ------- [2, 10, 8] [2, 8] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [2, 10, 8] [2, 8] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [2, 10, 8] [2, 8] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [2, 10, 8] [2, 8] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [2, 10, 8] [2, 8] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [2, 10, 8] [2, 8] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [2, 10, 8] [2, 8] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [2, 10, 8] [2, 8] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [2, 10, 8] [2, 8] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [2, 10, 8] [2, 8] denominator=, [2, 10, 10] [8, 10, 8, 15] [8, 8, 15] -------------- = ---------- [2, 10, 10] [2, 10] [1, 0, 10, 6, 5] [1, 0, 6, 5] ---------------- = ------------ [2, 10, 10] [2, 10] [1, 12, 10, 3, 15] [1, 12, 3, 15] ------------------ = -------------- [2, 10, 10] [2, 10] [2, 4, 10, 1, 5] [2, 4, 1, 5] ---------------- = ------------ [2, 10, 10] [2, 10] denominator=, [2, 11, 9] [11, 11, 0] [11, 0] ----------- = ------- [2, 11, 9] [2, 9] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [2, 11, 9] [2, 9] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [2, 11, 9] [2, 9] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [2, 11, 9] [2, 9] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [2, 11, 9] [2, 9] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [2, 11, 9] [2, 9] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [2, 11, 9] [2, 9] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [2, 11, 9] [2, 9] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [2, 11, 9] [2, 9] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [2, 11, 9] [2, 9] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [2, 11, 9] [2, 9] denominator=, [2, 12, 0] [12, 9, 12] [9, 12] ----------- = ------- [2, 12, 0] [2, 0] [1, 12, 4, 16] [1, 4, 16] -------------- = ---------- [2, 12, 0] [2, 0] denominator=, [2, 12, 5] [12, 10, 16] [10, 16] ------------ = -------- [2, 12, 5] [2, 5] [1, 12, 7, 18] [1, 7, 18] -------------- = ---------- [2, 12, 5] [2, 5] [3, 12, 2, 2] [3, 2, 2] ------------- = --------- [2, 12, 5] [2, 5] denominator=, [2, 12, 10] [12, 12, 0] [12, 0] ----------- = ------- [2, 12, 10] [2, 10] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [2, 12, 10] [2, 10] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [2, 12, 10] [2, 10] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [2, 12, 10] [2, 10] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [2, 12, 10] [2, 10] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [2, 12, 10] [2, 10] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [2, 12, 10] [2, 10] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [2, 12, 10] [2, 10] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [2, 12, 10] [2, 10] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [2, 12, 10] [2, 10] denominator=, [2, 13, 11] [13, 13, 0] [13, 0] ----------- = ------- [2, 13, 11] [2, 11] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [2, 13, 11] [2, 11] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [2, 13, 11] [2, 11] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [2, 13, 11] [2, 11] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [2, 13, 11] [2, 11] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [2, 13, 11] [2, 11] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [2, 13, 11] [2, 11] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [2, 13, 11] [2, 11] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [2, 13, 11] [2, 11] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [2, 13, 11] [2, 11] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [2, 13, 11] [2, 11] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [2, 13, 11] [2, 11] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [2, 13, 11] [2, 11] denominator=, [2, 14, 12] [14, 14, 0] [14, 0] ----------- = ------- [2, 14, 12] [2, 12] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [2, 14, 12] [2, 12] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [2, 14, 12] [2, 12] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [2, 14, 12] [2, 12] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [2, 14, 12] [2, 12] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [2, 14, 12] [2, 12] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [2, 14, 12] [2, 12] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [2, 14, 12] [2, 12] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [2, 14, 12] [2, 12] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [2, 14, 12] [2, 12] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [2, 14, 12] [2, 12] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [2, 14, 12] [2, 12] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [2, 14, 12] [2, 12] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [2, 14, 12] [2, 12] denominator=, [2, 15, 13] [15, 15, 0] [15, 0] ----------- = ------- [2, 15, 13] [2, 13] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [2, 15, 13] [2, 13] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [2, 15, 13] [2, 13] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [2, 15, 13] [2, 13] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [2, 15, 13] [2, 13] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [2, 15, 13] [2, 13] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [2, 15, 13] [2, 13] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [2, 15, 13] [2, 13] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [2, 15, 13] [2, 13] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [2, 15, 13] [2, 13] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [2, 15, 13] [2, 13] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [2, 15, 13] [2, 13] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [2, 15, 13] [2, 13] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [2, 15, 13] [2, 13] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [2, 15, 13] [2, 13] denominator=, [2, 16, 14] [16, 16, 0] [16, 0] ----------- = ------- [2, 16, 14] [2, 14] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [2, 16, 14] [2, 14] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [2, 16, 14] [2, 14] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [2, 16, 14] [2, 14] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [2, 16, 14] [2, 14] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [2, 16, 14] [2, 14] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [2, 16, 14] [2, 14] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [2, 16, 14] [2, 14] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [2, 16, 14] [2, 14] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [2, 16, 14] [2, 14] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [2, 16, 14] [2, 14] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [2, 16, 14] [2, 14] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [2, 16, 14] [2, 14] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [2, 16, 14] [2, 14] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [2, 16, 14] [2, 14] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [2, 16, 14] [2, 14] denominator=, [2, 17, 4] [17, 13, 12] [13, 12] ------------ = -------- [2, 17, 4] [2, 4] [1, 17, 8, 16] [1, 8, 16] -------------- = ---------- [2, 17, 4] [2, 4] denominator=, [2, 17, 15] [17, 17, 0] [17, 0] ----------- = ------- [2, 17, 15] [2, 15] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [2, 17, 15] [2, 15] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [2, 17, 15] [2, 15] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [2, 17, 15] [2, 15] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [2, 17, 15] [2, 15] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [2, 17, 15] [2, 15] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [2, 17, 15] [2, 15] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [2, 17, 15] [2, 15] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [2, 17, 15] [2, 15] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [2, 17, 15] [2, 15] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [2, 17, 15] [2, 15] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [2, 17, 15] [2, 15] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [2, 17, 15] [2, 15] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [2, 17, 15] [2, 15] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [2, 17, 15] [2, 15] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [2, 17, 15] [2, 15] denominator=, [2, 18, 2] [18, 13, 10] [13, 10] ------------ = -------- [2, 18, 2] [2, 2] [1, 18, 7, 15] [1, 7, 15] -------------- = ---------- [2, 18, 2] [2, 2] denominator=, [2, 18, 9] [18, 15, 15] [15, 15] ------------ = -------- [2, 18, 9] [2, 9] [4, 18, 2, 5] [4, 2, 5] ------------- = --------- [2, 18, 9] [2, 9] denominator=, [2, 18, 14] [9, 18, 2, 5] [9, 2, 5] ------------- = --------- [2, 18, 14] [2, 14] denominator=, [2, 18, 16] [18, 18, 0] [18, 0] ----------- = ------- [2, 18, 16] [2, 16] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [2, 18, 16] [2, 16] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [2, 18, 16] [2, 16] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [2, 18, 16] [2, 16] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [2, 18, 16] [2, 16] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [2, 18, 16] [2, 16] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [2, 18, 16] [2, 16] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [2, 18, 16] [2, 16] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [2, 18, 16] [2, 16] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [2, 18, 16] [2, 16] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [2, 18, 16] [2, 16] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [2, 18, 16] [2, 16] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [2, 18, 16] [2, 16] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [2, 18, 16] [2, 16] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [2, 18, 16] [2, 16] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [2, 18, 16] [2, 16] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [2, 18, 16] [2, 16] denominator=, [2, 18, 18] [9, 18, 15, 15] [9, 15, 15] --------------- = ----------- [2, 18, 18] [2, 18] [1, 3, 18, 11, 5] [1, 3, 11, 5] ----------------- = ------------- [2, 18, 18] [2, 18] [1, 17, 18, 6, 15] [1, 17, 6, 15] ------------------ = -------------- [2, 18, 18] [2, 18] [2, 11, 18, 2, 5] [2, 11, 2, 5] ----------------- = ------------- [2, 18, 18] [2, 18] denominator=, [2, 19, 2] [19, 14, 0] [14, 0] ----------- = ------- [2, 19, 2] [2, 2] [1, 19, 8, 0] [1, 8, 0] ------------- = --------- [2, 19, 2] [2, 2] denominator=, [2, 19, 5] [19, 15, 0] [15, 0] ----------- = ------- [2, 19, 5] [2, 5] [1, 19, 10, 0] [1, 10, 0] -------------- = ---------- [2, 19, 5] [2, 5] [3, 19, 0, 0] [3, 0, 0] ------------- = --------- [2, 19, 5] [2, 5] denominator=, [2, 19, 8] [19, 16, 0] [16, 0] ----------- = ------- [2, 19, 8] [2, 8] [1, 19, 12, 0] [1, 12, 0] -------------- = ---------- [2, 19, 8] [2, 8] [3, 19, 4, 0] [3, 4, 0] ------------- = --------- [2, 19, 8] [2, 8] [4, 19, 0, 0] [4, 0, 0] ------------- = --------- [2, 19, 8] [2, 8] denominator=, [2, 19, 11] [19, 17, 0] [17, 0] ----------- = ------- [2, 19, 11] [2, 11] [1, 19, 14, 0] [1, 14, 0] -------------- = ---------- [2, 19, 11] [2, 11] [3, 19, 8, 0] [3, 8, 0] ------------- = --------- [2, 19, 11] [2, 11] [4, 19, 5, 0] [4, 5, 0] ------------- = --------- [2, 19, 11] [2, 11] denominator=, [2, 19, 14] [19, 18, 0] [18, 0] ----------- = ------- [2, 19, 14] [2, 14] [1, 19, 16, 0] [1, 16, 0] -------------- = ---------- [2, 19, 14] [2, 14] [3, 19, 12, 0] [3, 12, 0] -------------- = ---------- [2, 19, 14] [2, 14] [4, 19, 10, 0] [4, 10, 0] -------------- = ---------- [2, 19, 14] [2, 14] [6, 19, 6, 0] [6, 6, 0] ------------- = --------- [2, 19, 14] [2, 14] [7, 19, 4, 0] [7, 4, 0] ------------- = --------- [2, 19, 14] [2, 14] [9, 19, 0, 0] [9, 0, 0] ------------- = --------- [2, 19, 14] [2, 14] denominator=, [2, 19, 17] [19, 19, 0] [19, 0] ----------- = ------- [2, 19, 17] [2, 17] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [2, 19, 17] [2, 17] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [2, 19, 17] [2, 17] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [2, 19, 17] [2, 17] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [2, 19, 17] [2, 17] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [2, 19, 17] [2, 17] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [2, 19, 17] [2, 17] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [2, 19, 17] [2, 17] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [2, 19, 17] [2, 17] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [2, 19, 17] [2, 17] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [2, 19, 17] [2, 17] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [2, 19, 17] [2, 17] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [2, 19, 17] [2, 17] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [2, 19, 17] [2, 17] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [3, 4, 1] [4, 4, 0] [4, 0] --------- = ------ [3, 4, 1] [3, 1] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [3, 4, 1] [3, 1] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [3, 4, 1] [3, 1] [4, 4, 0, 0] [4, 0, 0] ------------ = --------- [3, 4, 1] [3, 1] denominator=, [3, 5, 2] [5, 5, 0] [5, 0] --------- = ------ [3, 5, 2] [3, 2] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [3, 5, 2] [3, 2] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [3, 5, 2] [3, 2] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [3, 5, 2] [3, 2] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [3, 5, 2] [3, 2] denominator=, [3, 6, 3] [6, 6, 0] [6, 0] --------- = ------ [3, 6, 3] [3, 3] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [3, 6, 3] [3, 3] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [3, 6, 3] [3, 3] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [3, 6, 3] [3, 3] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [3, 6, 3] [3, 3] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [3, 6, 3] [3, 3] denominator=, [3, 6, 6] [1, 4, 6, 4, 0] [1, 4, 4, 0] --------------- = ------------ [3, 6, 6] [3, 6] [2, 5, 6, 2, 0] [2, 5, 2, 0] --------------- = ------------ [3, 6, 6] [3, 6] denominator=, [3, 7, 4] [7, 7, 0] [7, 0] --------- = ------ [3, 7, 4] [3, 4] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [3, 7, 4] [3, 4] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [3, 7, 4] [3, 4] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [3, 7, 4] [3, 4] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [3, 7, 4] [3, 4] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [3, 7, 4] [3, 4] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [3, 7, 4] [3, 4] denominator=, [3, 7, 6] [11, 7, 2, 15] [11, 2, 15] -------------- = ----------- [3, 7, 6] [3, 6] denominator=, [3, 8, 5] [8, 8, 0] [8, 0] --------- = ------ [3, 8, 5] [3, 5] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [3, 8, 5] [3, 5] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [3, 8, 5] [3, 5] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [3, 8, 5] [3, 5] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [3, 8, 5] [3, 5] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [3, 8, 5] [3, 5] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [3, 8, 5] [3, 5] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [3, 8, 5] [3, 5] denominator=, [3, 9, 6] [9, 9, 0] [9, 0] --------- = ------ [3, 9, 6] [3, 6] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [3, 9, 6] [3, 6] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [3, 9, 6] [3, 6] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [3, 9, 6] [3, 6] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [3, 9, 6] [3, 6] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [3, 9, 6] [3, 6] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [3, 9, 6] [3, 6] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [3, 9, 6] [3, 6] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [3, 9, 6] [3, 6] denominator=, [3, 9, 9] [14, 9, 7, 10] [14, 7, 10] -------------- = ----------- [3, 9, 9] [3, 9] [1, 5, 9, 6, 0] [1, 5, 6, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 7, 9, 3, 0] [2, 7, 3, 0] --------------- = ------------ [3, 9, 9] [3, 9] [2, 18, 9, 1, 10] [2, 18, 1, 10] ----------------- = -------------- [3, 9, 9] [3, 9] denominator=, [3, 10, 7] [10, 10, 0] [10, 0] ----------- = ------- [3, 10, 7] [3, 7] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [3, 10, 7] [3, 7] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [3, 10, 7] [3, 7] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [3, 10, 7] [3, 7] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [3, 10, 7] [3, 7] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [3, 10, 7] [3, 7] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [3, 10, 7] [3, 7] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [3, 10, 7] [3, 7] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [3, 10, 7] [3, 7] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [3, 10, 7] [3, 7] denominator=, [3, 11, 8] [11, 11, 0] [11, 0] ----------- = ------- [3, 11, 8] [3, 8] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [3, 11, 8] [3, 8] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [3, 11, 8] [3, 8] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [3, 11, 8] [3, 8] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [3, 11, 8] [3, 8] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [3, 11, 8] [3, 8] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [3, 11, 8] [3, 8] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [3, 11, 8] [3, 8] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [3, 11, 8] [3, 8] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [3, 11, 8] [3, 8] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [3, 11, 8] [3, 8] denominator=, [3, 12, 9] [12, 12, 0] [12, 0] ----------- = ------- [3, 12, 9] [3, 9] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [3, 12, 9] [3, 9] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [3, 12, 9] [3, 9] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [3, 12, 9] [3, 9] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [3, 12, 9] [3, 9] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [3, 12, 9] [3, 9] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [3, 12, 9] [3, 9] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [3, 12, 9] [3, 9] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [3, 12, 9] [3, 9] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [3, 12, 9] [3, 9] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [3, 12, 9] [3, 9] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [3, 12, 9] [3, 9] denominator=, [3, 12, 12] [1, 6, 12, 8, 0] [1, 6, 8, 0] ---------------- = ------------ [3, 12, 12] [3, 12] [2, 9, 12, 4, 0] [2, 9, 4, 0] ---------------- = ------------ [3, 12, 12] [3, 12] denominator=, [3, 13, 3] [13, 11, 14] [11, 14] ------------ = -------- [3, 13, 3] [3, 3] [1, 13, 8, 16] [1, 8, 16] -------------- = ---------- [3, 13, 3] [3, 3] [2, 13, 5, 18] [2, 5, 18] -------------- = ---------- [3, 13, 3] [3, 3] [4, 13, 0, 2] [4, 0, 2] ------------- = --------- [3, 13, 3] [3, 3] denominator=, [3, 13, 10] [13, 13, 0] [13, 0] ----------- = ------- [3, 13, 10] [3, 10] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [3, 13, 10] [3, 10] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [3, 13, 10] [3, 10] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [3, 13, 10] [3, 10] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [3, 13, 10] [3, 10] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [3, 13, 10] [3, 10] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [3, 13, 10] [3, 10] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [3, 13, 10] [3, 10] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [3, 13, 10] [3, 10] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [3, 13, 10] [3, 10] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [3, 13, 10] [3, 10] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [3, 13, 10] [3, 10] denominator=, [3, 14, 11] [14, 14, 0] [14, 0] ----------- = ------- [3, 14, 11] [3, 11] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [3, 14, 11] [3, 11] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [3, 14, 11] [3, 11] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [3, 14, 11] [3, 11] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [3, 14, 11] [3, 11] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [3, 14, 11] [3, 11] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [3, 14, 11] [3, 11] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [3, 14, 11] [3, 11] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [3, 14, 11] [3, 11] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [3, 14, 11] [3, 11] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [3, 14, 11] [3, 11] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [3, 14, 11] [3, 11] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [3, 14, 11] [3, 11] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [3, 14, 11] [3, 11] denominator=, [3, 15, 0] [15, 12, 10] [12, 10] ------------ = -------- [3, 15, 0] [3, 0] denominator=, [3, 15, 3] [1, 15, 9, 15] [1, 9, 15] -------------- = ---------- [3, 15, 3] [3, 3] denominator=, [3, 15, 6] [15, 13, 15] [13, 15] ------------ = -------- [3, 15, 6] [3, 6] denominator=, [3, 15, 12] [15, 15, 0] [15, 0] ----------- = ------- [3, 15, 12] [3, 12] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [3, 15, 12] [3, 12] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [3, 15, 12] [3, 12] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [3, 15, 12] [3, 12] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [3, 15, 12] [3, 12] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [3, 15, 12] [3, 12] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [3, 15, 12] [3, 12] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [3, 15, 12] [3, 12] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [3, 15, 12] [3, 12] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [3, 15, 12] [3, 12] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [3, 15, 12] [3, 12] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [3, 15, 12] [3, 12] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [3, 15, 12] [3, 12] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [3, 15, 12] [3, 12] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [3, 15, 12] [3, 12] denominator=, [3, 15, 14] [12, 15, 9, 15] [12, 9, 15] --------------- = ----------- [3, 15, 14] [3, 14] [1, 10, 15, 1, 5] [1, 10, 1, 5] ----------------- = ------------- [3, 15, 14] [3, 14] denominator=, [3, 15, 15] [9, 15, 13, 15] [9, 13, 15] --------------- = ----------- [3, 15, 15] [3, 15] [15, 15, 12, 10] [15, 12, 10] ---------------- = ------------ [3, 15, 15] [3, 15] [1, 7, 15, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [1, 13, 15, 8, 15] [1, 13, 8, 15] ------------------ = -------------- [3, 15, 15] [3, 15] [2, 5, 15, 6, 5] [2, 5, 6, 5] ---------------- = ------------ [3, 15, 15] [3, 15] [2, 11, 15, 5, 0] [2, 11, 5, 0] ----------------- = ------------- [3, 15, 15] [3, 15] [3, 3, 15, 2, 10] [3, 3, 2, 10] ----------------- = ------------- [3, 15, 15] [3, 15] [3, 9, 15, 1, 5] [3, 9, 1, 5] ---------------- = ------------ [3, 15, 15] [3, 15] denominator=, [3, 16, 13] [16, 16, 0] [16, 0] ----------- = ------- [3, 16, 13] [3, 13] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [3, 16, 13] [3, 13] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [3, 16, 13] [3, 13] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [3, 16, 13] [3, 13] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [3, 16, 13] [3, 13] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [3, 16, 13] [3, 13] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [3, 16, 13] [3, 13] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [3, 16, 13] [3, 13] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [3, 16, 13] [3, 13] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [3, 16, 13] [3, 13] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [3, 16, 13] [3, 13] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [3, 16, 13] [3, 13] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [3, 16, 13] [3, 13] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [3, 16, 13] [3, 13] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [3, 16, 13] [3, 13] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [3, 16, 13] [3, 13] denominator=, [3, 17, 14] [17, 17, 0] [17, 0] ----------- = ------- [3, 17, 14] [3, 14] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [3, 17, 14] [3, 14] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [3, 17, 14] [3, 14] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [3, 17, 14] [3, 14] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [3, 17, 14] [3, 14] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [3, 17, 14] [3, 14] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [3, 17, 14] [3, 14] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [3, 17, 14] [3, 14] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [3, 17, 14] [3, 14] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [3, 17, 14] [3, 14] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [3, 17, 14] [3, 14] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [3, 17, 14] [3, 14] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [3, 17, 14] [3, 14] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [3, 17, 14] [3, 14] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [3, 17, 14] [3, 14] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [3, 17, 14] [3, 14] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [3, 17, 14] [3, 14] denominator=, [3, 18, 0] [18, 14, 8] [14, 8] ----------- = ------- [3, 18, 0] [3, 0] [1, 18, 9, 12] [1, 9, 12] -------------- = ---------- [3, 18, 0] [3, 0] [2, 18, 4, 16] [2, 4, 16] -------------- = ---------- [3, 18, 0] [3, 0] denominator=, [3, 18, 5] [18, 15, 12] [15, 12] ------------ = -------- [3, 18, 5] [3, 5] denominator=, [3, 18, 10] [18, 16, 16] [16, 16] ------------ = -------- [3, 18, 10] [3, 10] [6, 18, 3, 4] [6, 3, 4] ------------- = --------- [3, 18, 10] [3, 10] denominator=, [3, 18, 12] [8, 18, 3, 4] [8, 3, 4] ------------- = --------- [3, 18, 12] [3, 12] denominator=, [3, 18, 15] [18, 18, 0] [18, 0] ----------- = ------- [3, 18, 15] [3, 15] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [3, 18, 15] [3, 15] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [3, 18, 15] [3, 15] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [3, 18, 15] [3, 15] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [3, 18, 15] [3, 15] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [3, 18, 15] [3, 15] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [3, 18, 15] [3, 15] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [3, 18, 15] [3, 15] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [3, 18, 15] [3, 15] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [3, 18, 15] [3, 15] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [3, 18, 15] [3, 15] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [3, 18, 15] [3, 15] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [3, 18, 15] [3, 15] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [3, 18, 15] [3, 15] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [3, 18, 15] [3, 15] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [3, 18, 15] [3, 15] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [3, 18, 15] [3, 15] denominator=, [3, 18, 18] [8, 18, 16, 16] [8, 16, 16] --------------- = ----------- [3, 18, 18] [3, 18] [13, 18, 15, 12] [13, 15, 12] ---------------- = ------------ [3, 18, 18] [3, 18] [1, 3, 18, 13, 4] [1, 3, 13, 4] ----------------- = ------------- [3, 18, 18] [3, 18] [1, 8, 18, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [3, 18, 18] [3, 18] [1, 18, 18, 9, 12] [1, 18, 9, 12] ------------------ = -------------- [3, 18, 18] [3, 18] [2, 3, 18, 8, 8] [2, 3, 8, 8] ---------------- = ------------ [3, 18, 18] [3, 18] [2, 13, 18, 6, 0] [2, 13, 6, 0] ----------------- = ------------- [3, 18, 18] [3, 18] [2, 18, 18, 4, 16] [2, 18, 4, 16] ------------------ = -------------- [3, 18, 18] [3, 18] [3, 8, 18, 2, 8] [3, 8, 2, 8] ---------------- = ------------ [3, 18, 18] [3, 18] [3, 13, 18, 1, 4] [3, 13, 1, 4] ----------------- = ------------- [3, 18, 18] [3, 18] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 19] [6, 0, 19] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [4, 5, 1] [5, 5, 0] [5, 0] --------- = ------ [4, 5, 1] [4, 1] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [4, 5, 1] [4, 1] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [4, 5, 1] [4, 1] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [4, 5, 1] [4, 1] [5, 5, 0, 0] [5, 0, 0] ------------ = --------- [4, 5, 1] [4, 1] denominator=, [4, 6, 2] [6, 6, 0] [6, 0] --------- = ------ [4, 6, 2] [4, 2] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [4, 6, 2] [4, 2] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [4, 6, 2] [4, 2] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [4, 6, 2] [4, 2] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [4, 6, 2] [4, 2] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [4, 6, 2] [4, 2] denominator=, [4, 7, 3] [7, 7, 0] [7, 0] --------- = ------ [4, 7, 3] [4, 3] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [4, 7, 3] [4, 3] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [4, 7, 3] [4, 3] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [4, 7, 3] [4, 3] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [4, 7, 3] [4, 3] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [4, 7, 3] [4, 3] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [4, 7, 3] [4, 3] denominator=, [4, 8, 4] [8, 8, 0] [8, 0] --------- = ------ [4, 8, 4] [4, 4] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [4, 8, 4] [4, 4] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [4, 8, 4] [4, 4] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [4, 8, 4] [4, 4] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [4, 8, 4] [4, 4] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [4, 8, 4] [4, 4] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [4, 8, 4] [4, 4] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [4, 8, 4] [4, 4] denominator=, [4, 8, 7] [11, 8, 4, 15] [11, 4, 15] -------------- = ----------- [4, 8, 7] [4, 7] [18, 8, 2, 10] [18, 2, 10] -------------- = ----------- [4, 8, 7] [4, 7] denominator=, [4, 9, 5] [9, 9, 0] [9, 0] --------- = ------ [4, 9, 5] [4, 5] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [4, 9, 5] [4, 5] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [4, 9, 5] [4, 5] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [4, 9, 5] [4, 5] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [4, 9, 5] [4, 5] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [4, 9, 5] [4, 5] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [4, 9, 5] [4, 5] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [4, 9, 5] [4, 5] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [4, 9, 5] [4, 5] denominator=, [4, 10, 6] [10, 10, 0] [10, 0] ----------- = ------- [4, 10, 6] [4, 6] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [4, 10, 6] [4, 6] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [4, 10, 6] [4, 6] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [4, 10, 6] [4, 6] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [4, 10, 6] [4, 6] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [4, 10, 6] [4, 6] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [4, 10, 6] [4, 6] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [4, 10, 6] [4, 6] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [4, 10, 6] [4, 6] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [4, 10, 6] [4, 6] denominator=, [4, 11, 7] [11, 11, 0] [11, 0] ----------- = ------- [4, 11, 7] [4, 7] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [4, 11, 7] [4, 7] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [4, 11, 7] [4, 7] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [4, 11, 7] [4, 7] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [4, 11, 7] [4, 7] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [4, 11, 7] [4, 7] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [4, 11, 7] [4, 7] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [4, 11, 7] [4, 7] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [4, 11, 7] [4, 7] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [4, 11, 7] [4, 7] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [4, 11, 7] [4, 7] denominator=, [4, 11, 10] [1, 13, 11, 0, 0] [1, 13, 0, 0] ----------------- = ------------- [4, 11, 10] [4, 10] denominator=, [4, 12, 8] [12, 12, 0] [12, 0] ----------- = ------- [4, 12, 8] [4, 8] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [4, 12, 8] [4, 8] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [4, 12, 8] [4, 8] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [4, 12, 8] [4, 8] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [4, 12, 8] [4, 8] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [4, 12, 8] [4, 8] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [4, 12, 8] [4, 8] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [4, 12, 8] [4, 8] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [4, 12, 8] [4, 8] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [4, 12, 8] [4, 8] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [4, 12, 8] [4, 8] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [4, 12, 8] [4, 8] denominator=, [4, 12, 10] [15, 12, 3, 15] [15, 3, 15] --------------- = ----------- [4, 12, 10] [4, 10] denominator=, [4, 12, 12] [15, 12, 10, 10] [15, 10, 10] ---------------- = ------------ [4, 12, 12] [4, 12] [1, 17, 12, 7, 10] [1, 17, 7, 10] ------------------ = -------------- [4, 12, 12] [4, 12] [2, 19, 12, 4, 10] [2, 19, 4, 10] ------------------ = -------------- [4, 12, 12] [4, 12] [4, 1, 12, 1, 10] [4, 1, 1, 10] ----------------- = ------------- [4, 12, 12] [4, 12] denominator=, [4, 13, 9] [13, 13, 0] [13, 0] ----------- = ------- [4, 13, 9] [4, 9] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [4, 13, 9] [4, 9] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [4, 13, 9] [4, 9] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [4, 13, 9] [4, 9] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [4, 13, 9] [4, 9] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [4, 13, 9] [4, 9] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [4, 13, 9] [4, 9] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [4, 13, 9] [4, 9] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [4, 13, 9] [4, 9] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [4, 13, 9] [4, 9] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [4, 13, 9] [4, 9] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [4, 13, 9] [4, 9] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [4, 13, 9] [4, 9] denominator=, [4, 14, 1] [14, 12, 12] [12, 12] ------------ = -------- [4, 14, 1] [4, 1] [1, 14, 9, 14] [1, 9, 14] -------------- = ---------- [4, 14, 1] [4, 1] [2, 14, 6, 16] [2, 6, 16] -------------- = ---------- [4, 14, 1] [4, 1] [3, 14, 3, 18] [3, 3, 18] -------------- = ---------- [4, 14, 1] [4, 1] denominator=, [4, 14, 4] [1, 14, 10, 16] [1, 10, 16] --------------- = ----------- [4, 14, 4] [4, 4] denominator=, [4, 14, 7] [1, 14, 11, 18] [1, 11, 18] --------------- = ----------- [4, 14, 7] [4, 7] [7, 14, 2, 2] [7, 2, 2] ------------- = --------- [4, 14, 7] [4, 7] denominator=, [4, 14, 10] [14, 14, 0] [14, 0] ----------- = ------- [4, 14, 10] [4, 10] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [4, 14, 10] [4, 10] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [4, 14, 10] [4, 10] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [4, 14, 10] [4, 10] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [4, 14, 10] [4, 10] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [4, 14, 10] [4, 10] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [4, 14, 10] [4, 10] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [4, 14, 10] [4, 10] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [4, 14, 10] [4, 10] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [4, 14, 10] [4, 10] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [4, 14, 10] [4, 10] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [4, 14, 10] [4, 10] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [4, 14, 10] [4, 10] denominator=, [4, 14, 13] [1, 14, 14, 2] [1, 14, 2] -------------- = ---------- [4, 14, 13] [4, 13] [7, 14, 11, 18] [7, 11, 18] --------------- = ----------- [4, 14, 13] [4, 13] [10, 14, 10, 16] [10, 10, 16] ---------------- = ------------ [4, 14, 13] [4, 13] [16, 14, 8, 12] [16, 8, 12] --------------- = ----------- [4, 14, 13] [4, 13] [19, 14, 7, 10] [19, 7, 10] --------------- = ----------- [4, 14, 13] [4, 13] [1, 5, 14, 5, 6] [1, 5, 5, 6] ---------------- = ------------ [4, 14, 13] [4, 13] [1, 8, 14, 4, 4] [1, 8, 4, 4] ---------------- = ------------ [4, 14, 13] [4, 13] [1, 14, 14, 2, 0] [1, 14, 2, 0] ----------------- = ------------- [4, 14, 13] [4, 13] [1, 17, 14, 0, 18] [1, 17, 0, 18] ------------------ = -------------- [4, 14, 13] [4, 13] denominator=, [4, 15, 11] [15, 15, 0] [15, 0] ----------- = ------- [4, 15, 11] [4, 11] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [4, 15, 11] [4, 11] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [4, 15, 11] [4, 11] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [4, 15, 11] [4, 11] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [4, 15, 11] [4, 11] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [4, 15, 11] [4, 11] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [4, 15, 11] [4, 11] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [4, 15, 11] [4, 11] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [4, 15, 11] [4, 11] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [4, 15, 11] [4, 11] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [4, 15, 11] [4, 11] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [4, 15, 11] [4, 11] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [4, 15, 11] [4, 11] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [4, 15, 11] [4, 11] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [4, 15, 11] [4, 11] denominator=, [4, 16, 12] [16, 16, 0] [16, 0] ----------- = ------- [4, 16, 12] [4, 12] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [4, 16, 12] [4, 12] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [4, 16, 12] [4, 12] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [4, 16, 12] [4, 12] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [4, 16, 12] [4, 12] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [4, 16, 12] [4, 12] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [4, 16, 12] [4, 12] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [4, 16, 12] [4, 12] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [4, 16, 12] [4, 12] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [4, 16, 12] [4, 12] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [4, 16, 12] [4, 12] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [4, 16, 12] [4, 12] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [4, 16, 12] [4, 12] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [4, 16, 12] [4, 12] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [4, 16, 12] [4, 12] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [4, 16, 12] [4, 12] denominator=, [4, 17, 13] [17, 17, 0] [17, 0] ----------- = ------- [4, 17, 13] [4, 13] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [4, 17, 13] [4, 13] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [4, 17, 13] [4, 13] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [4, 17, 13] [4, 13] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [4, 17, 13] [4, 13] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [4, 17, 13] [4, 13] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [4, 17, 13] [4, 13] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [4, 17, 13] [4, 13] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [4, 17, 13] [4, 13] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [4, 17, 13] [4, 13] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [4, 17, 13] [4, 13] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [4, 17, 13] [4, 13] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [4, 17, 13] [4, 13] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [4, 17, 13] [4, 13] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [4, 17, 13] [4, 13] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [4, 17, 13] [4, 13] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [4, 17, 13] [4, 13] denominator=, [4, 17, 16] [1, 15, 17, 4, 0] [1, 15, 4, 0] ----------------- = ------------- [4, 17, 16] [4, 16] denominator=, [4, 18, 14] [18, 18, 0] [18, 0] ----------- = ------- [4, 18, 14] [4, 14] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [4, 18, 14] [4, 14] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [4, 18, 14] [4, 14] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [4, 18, 14] [4, 14] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [4, 18, 14] [4, 14] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [4, 18, 14] [4, 14] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [4, 18, 14] [4, 14] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [4, 18, 14] [4, 14] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [4, 18, 14] [4, 14] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [4, 18, 14] [4, 14] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [4, 18, 14] [4, 14] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [4, 18, 14] [4, 14] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [4, 18, 14] [4, 14] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [4, 18, 14] [4, 14] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [4, 18, 14] [4, 14] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [4, 18, 14] [4, 14] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [4, 18, 14] [4, 14] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [4, 18, 14] [4, 14] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [5, 6, 1] [6, 6, 0] [6, 0] --------- = ------ [5, 6, 1] [5, 1] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [5, 6, 1] [5, 1] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [5, 6, 1] [5, 1] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [5, 6, 1] [5, 1] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [5, 6, 1] [5, 1] [6, 6, 0, 0] [6, 0, 0] ------------ = --------- [5, 6, 1] [5, 1] denominator=, [5, 7, 2] [7, 7, 0] [7, 0] --------- = ------ [5, 7, 2] [5, 2] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [5, 7, 2] [5, 2] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [5, 7, 2] [5, 2] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [5, 7, 2] [5, 2] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [5, 7, 2] [5, 2] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [5, 7, 2] [5, 2] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [5, 7, 2] [5, 2] denominator=, [5, 8, 3] [8, 8, 0] [8, 0] --------- = ------ [5, 8, 3] [5, 3] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [5, 8, 3] [5, 3] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [5, 8, 3] [5, 3] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [5, 8, 3] [5, 3] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [5, 8, 3] [5, 3] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [5, 8, 3] [5, 3] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [5, 8, 3] [5, 3] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [5, 8, 3] [5, 3] denominator=, [5, 9, 4] [9, 9, 0] [9, 0] --------- = ------ [5, 9, 4] [5, 4] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [5, 9, 4] [5, 4] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [5, 9, 4] [5, 4] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [5, 9, 4] [5, 4] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [5, 9, 4] [5, 4] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [5, 9, 4] [5, 4] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [5, 9, 4] [5, 4] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [5, 9, 4] [5, 4] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [5, 9, 4] [5, 4] denominator=, [5, 9, 8] [18, 9, 4, 10] [18, 4, 10] -------------- = ----------- [5, 9, 8] [5, 8] denominator=, [5, 10, 5] [10, 10, 0] [10, 0] ----------- = ------- [5, 10, 5] [5, 5] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [5, 10, 5] [5, 5] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [5, 10, 5] [5, 5] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [5, 10, 5] [5, 5] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [5, 10, 5] [5, 5] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [5, 10, 5] [5, 5] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [5, 10, 5] [5, 5] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [5, 10, 5] [5, 5] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [5, 10, 5] [5, 5] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [5, 10, 5] [5, 5] denominator=, [5, 10, 8] [12, 10, 4, 16] [12, 4, 16] --------------- = ----------- [5, 10, 8] [5, 8] [19, 10, 1, 12] [19, 1, 12] --------------- = ----------- [5, 10, 8] [5, 8] denominator=, [5, 11, 6] [11, 11, 0] [11, 0] ----------- = ------- [5, 11, 6] [5, 6] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [5, 11, 6] [5, 6] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [5, 11, 6] [5, 6] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [5, 11, 6] [5, 6] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [5, 11, 6] [5, 6] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [5, 11, 6] [5, 6] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [5, 11, 6] [5, 6] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [5, 11, 6] [5, 6] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [5, 11, 6] [5, 6] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [5, 11, 6] [5, 6] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [5, 11, 6] [5, 6] denominator=, [5, 12, 7] [12, 12, 0] [12, 0] ----------- = ------- [5, 12, 7] [5, 7] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [5, 12, 7] [5, 7] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [5, 12, 7] [5, 7] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [5, 12, 7] [5, 7] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [5, 12, 7] [5, 7] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [5, 12, 7] [5, 7] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [5, 12, 7] [5, 7] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [5, 12, 7] [5, 7] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [5, 12, 7] [5, 7] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [5, 12, 7] [5, 7] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [5, 12, 7] [5, 7] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [5, 12, 7] [5, 7] denominator=, [5, 13, 8] [13, 13, 0] [13, 0] ----------- = ------- [5, 13, 8] [5, 8] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [5, 13, 8] [5, 8] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [5, 13, 8] [5, 8] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [5, 13, 8] [5, 8] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [5, 13, 8] [5, 8] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [5, 13, 8] [5, 8] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [5, 13, 8] [5, 8] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [5, 13, 8] [5, 8] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [5, 13, 8] [5, 8] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [5, 13, 8] [5, 8] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [5, 13, 8] [5, 8] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [5, 13, 8] [5, 8] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [5, 13, 8] [5, 8] denominator=, [5, 13, 11] [14, 13, 6, 15] [14, 6, 15] --------------- = ----------- [5, 13, 11] [5, 11] [1, 3, 13, 2, 10] [1, 3, 2, 10] ----------------- = ------------- [5, 13, 11] [5, 11] denominator=, [5, 14, 9] [14, 14, 0] [14, 0] ----------- = ------- [5, 14, 9] [5, 9] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [5, 14, 9] [5, 9] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [5, 14, 9] [5, 9] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [5, 14, 9] [5, 9] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [5, 14, 9] [5, 9] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [5, 14, 9] [5, 9] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [5, 14, 9] [5, 9] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [5, 14, 9] [5, 9] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [5, 14, 9] [5, 9] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [5, 14, 9] [5, 9] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [5, 14, 9] [5, 9] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [5, 14, 9] [5, 9] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [5, 14, 9] [5, 9] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [5, 14, 9] [5, 9] denominator=, [5, 15, 10] [15, 15, 0] [15, 0] ----------- = ------- [5, 15, 10] [5, 10] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [5, 15, 10] [5, 10] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [5, 15, 10] [5, 10] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [5, 15, 10] [5, 10] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [5, 15, 10] [5, 10] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [5, 15, 10] [5, 10] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [5, 15, 10] [5, 10] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [5, 15, 10] [5, 10] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [5, 15, 10] [5, 10] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [5, 15, 10] [5, 10] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [5, 15, 10] [5, 10] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [5, 15, 10] [5, 10] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [5, 15, 10] [5, 10] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [5, 15, 10] [5, 10] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [5, 15, 10] [5, 10] denominator=, [5, 16, 11] [16, 16, 0] [16, 0] ----------- = ------- [5, 16, 11] [5, 11] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [5, 16, 11] [5, 11] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [5, 16, 11] [5, 11] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [5, 16, 11] [5, 11] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [5, 16, 11] [5, 11] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [5, 16, 11] [5, 11] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [5, 16, 11] [5, 11] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [5, 16, 11] [5, 11] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [5, 16, 11] [5, 11] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [5, 16, 11] [5, 11] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [5, 16, 11] [5, 11] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [5, 16, 11] [5, 11] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [5, 16, 11] [5, 11] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [5, 16, 11] [5, 11] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [5, 16, 11] [5, 11] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [5, 16, 11] [5, 11] denominator=, [5, 17, 5] [1, 17, 13, 15] [1, 13, 15] --------------- = ----------- [5, 17, 5] [5, 5] denominator=, [5, 17, 12] [17, 17, 0] [17, 0] ----------- = ------- [5, 17, 12] [5, 12] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [5, 17, 12] [5, 12] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [5, 17, 12] [5, 12] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [5, 17, 12] [5, 12] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [5, 17, 12] [5, 12] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [5, 17, 12] [5, 12] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [5, 17, 12] [5, 12] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [5, 17, 12] [5, 12] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [5, 17, 12] [5, 12] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [5, 17, 12] [5, 12] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [5, 17, 12] [5, 12] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [5, 17, 12] [5, 12] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [5, 17, 12] [5, 12] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [5, 17, 12] [5, 12] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [5, 17, 12] [5, 12] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [5, 17, 12] [5, 12] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [5, 17, 12] [5, 12] denominator=, [5, 17, 14] [19, 17, 4, 15] [19, 4, 15] --------------- = ----------- [5, 17, 14] [5, 14] denominator=, [5, 17, 16] [12, 17, 13, 15] [12, 13, 15] ---------------- = ------------ [5, 17, 16] [5, 16] [19, 17, 11, 10] [19, 11, 10] ---------------- = ------------ [5, 17, 16] [5, 16] [1, 6, 17, 9, 5] [1, 6, 9, 5] ---------------- = ------------ [5, 17, 16] [5, 16] [2, 0, 17, 4, 15] [2, 0, 4, 15] ----------------- = ------------- [5, 17, 16] [5, 16] [2, 7, 17, 2, 10] [2, 7, 2, 10] ----------------- = ------------- [5, 17, 16] [5, 16] [2, 14, 17, 0, 5] [2, 14, 0, 5] ----------------- = ------------- [5, 17, 16] [5, 16] denominator=, [5, 18, 13] [18, 18, 0] [18, 0] ----------- = ------- [5, 18, 13] [5, 13] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [5, 18, 13] [5, 13] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [5, 18, 13] [5, 13] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [5, 18, 13] [5, 13] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [5, 18, 13] [5, 13] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [5, 18, 13] [5, 13] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [5, 18, 13] [5, 13] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [5, 18, 13] [5, 13] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [5, 18, 13] [5, 13] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [5, 18, 13] [5, 13] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [5, 18, 13] [5, 13] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [5, 18, 13] [5, 13] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [5, 18, 13] [5, 13] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [5, 18, 13] [5, 13] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [5, 18, 13] [5, 13] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [5, 18, 13] [5, 13] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [5, 18, 13] [5, 13] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [5, 18, 13] [5, 13] denominator=, [5, 19, 2] [19, 17, 0] [17, 0] ----------- = ------- [5, 19, 2] [5, 2] [1, 19, 14, 0] [1, 14, 0] -------------- = ---------- [5, 19, 2] [5, 2] [3, 19, 8, 0] [3, 8, 0] ------------- = --------- [5, 19, 2] [5, 2] [4, 19, 5, 0] [4, 5, 0] ------------- = --------- [5, 19, 2] [5, 2] denominator=, [5, 19, 5] [19, 17, 10] [17, 10] ------------ = -------- [5, 19, 5] [5, 5] [1, 19, 15, 0] [1, 15, 0] -------------- = ---------- [5, 19, 5] [5, 5] [3, 19, 10, 0] [3, 10, 0] -------------- = ---------- [5, 19, 5] [5, 5] [4, 19, 7, 10] [4, 7, 10] -------------- = ---------- [5, 19, 5] [5, 5] [6, 19, 2, 10] [6, 2, 10] -------------- = ---------- [5, 19, 5] [5, 5] [7, 19, 0, 0] [7, 0, 0] ------------- = --------- [5, 19, 5] [5, 5] denominator=, [5, 19, 8] [19, 18, 0] [18, 0] ----------- = ------- [5, 19, 8] [5, 8] [1, 19, 16, 0] [1, 16, 0] -------------- = ---------- [5, 19, 8] [5, 8] [3, 19, 12, 0] [3, 12, 0] -------------- = ---------- [5, 19, 8] [5, 8] [4, 19, 10, 0] [4, 10, 0] -------------- = ---------- [5, 19, 8] [5, 8] [6, 19, 6, 0] [6, 6, 0] ------------- = --------- [5, 19, 8] [5, 8] [7, 19, 4, 0] [7, 4, 0] ------------- = --------- [5, 19, 8] [5, 8] [9, 19, 0, 0] [9, 0, 0] ------------- = --------- [5, 19, 8] [5, 8] denominator=, [5, 19, 11] [19, 18, 10] [18, 10] ------------ = -------- [5, 19, 11] [5, 11] [1, 19, 17, 0] [1, 17, 0] -------------- = ---------- [5, 19, 11] [5, 11] [3, 19, 14, 0] [3, 14, 0] -------------- = ---------- [5, 19, 11] [5, 11] [4, 19, 12, 10] [4, 12, 10] --------------- = ----------- [5, 19, 11] [5, 11] [6, 19, 9, 10] [6, 9, 10] -------------- = ---------- [5, 19, 11] [5, 11] [7, 19, 8, 0] [7, 8, 0] ------------- = --------- [5, 19, 11] [5, 11] [9, 19, 5, 0] [9, 5, 0] ------------- = --------- [5, 19, 11] [5, 11] [10, 19, 3, 10] [10, 3, 10] --------------- = ----------- [5, 19, 11] [5, 11] [12, 19, 0, 10] [12, 0, 10] --------------- = ----------- [5, 19, 11] [5, 11] denominator=, [5, 19, 14] [19, 19, 0] [19, 0] ----------- = ------- [5, 19, 14] [5, 14] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [5, 19, 14] [5, 14] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [5, 19, 14] [5, 14] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [5, 19, 14] [5, 14] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [5, 19, 14] [5, 14] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [5, 19, 14] [5, 14] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [5, 19, 14] [5, 14] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [5, 19, 14] [5, 14] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [5, 19, 14] [5, 14] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [5, 19, 14] [5, 14] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [5, 19, 14] [5, 14] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [5, 19, 14] [5, 14] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [5, 19, 14] [5, 14] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [5, 19, 14] [5, 14] denominator=, [5, 19, 17] [19, 19, 10] [19, 10] ------------ = -------- [5, 19, 17] [5, 17] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [5, 19, 17] [5, 17] [3, 19, 18, 0] [3, 18, 0] -------------- = ---------- [5, 19, 17] [5, 17] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [5, 19, 17] [5, 17] [6, 19, 16, 10] [6, 16, 10] --------------- = ----------- [5, 19, 17] [5, 17] [7, 19, 16, 0] [7, 16, 0] -------------- = ---------- [5, 19, 17] [5, 17] [9, 19, 15, 0] [9, 15, 0] -------------- = ---------- [5, 19, 17] [5, 17] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [5, 19, 17] [5, 17] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [5, 19, 17] [5, 17] [13, 19, 13, 0] [13, 13, 0] --------------- = ----------- [5, 19, 17] [5, 17] [15, 19, 12, 0] [15, 12, 0] --------------- = ----------- [5, 19, 17] [5, 17] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [5, 19, 17] [5, 17] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [5, 19, 17] [5, 17] [19, 19, 10, 0] [19, 10, 0] --------------- = ----------- [5, 19, 17] [5, 17] [1, 1, 19, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [5, 19, 17] [5, 17] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 5, 19, 7, 0] [1, 5, 7, 0] ---------------- = ------------ [5, 19, 17] [5, 17] [1, 7, 19, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [5, 19, 17] [5, 17] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [5, 19, 17] [5, 17] [1, 11, 19, 4, 0] [1, 11, 4, 0] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 13, 19, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 14, 19, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [5, 19, 17] [5, 17] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [5, 19, 17] [5, 17] [1, 17, 19, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [5, 19, 17] [5, 17] [1, 19, 19, 0, 0] [1, 19, 0, 0] ----------------- = ------------- [5, 19, 17] [5, 17] denominator=, [6, 3, 3] [2, 5, 3, 2, 0] [2, 5, 2, 0] --------------- = ------------ [6, 3, 3] [6, 3] [4, 4, 3, 1, 0] [4, 4, 1, 0] --------------- = ------------ [6, 3, 3] [6, 3] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 19] [8, 1, 19] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 18] [10, 0, 18] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 18] [9, 2, 18] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 14] [15, 0, 14] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [6, 7, 1] [7, 7, 0] [7, 0] --------- = ------ [6, 7, 1] [6, 1] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [6, 7, 1] [6, 1] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [6, 7, 1] [6, 1] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [6, 7, 1] [6, 1] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [6, 7, 1] [6, 1] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [6, 7, 1] [6, 1] [7, 7, 0, 0] [7, 0, 0] ------------ = --------- [6, 7, 1] [6, 1] denominator=, [6, 8, 2] [8, 8, 0] [8, 0] --------- = ------ [6, 8, 2] [6, 2] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [6, 8, 2] [6, 2] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [6, 8, 2] [6, 2] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [6, 8, 2] [6, 2] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [6, 8, 2] [6, 2] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [6, 8, 2] [6, 2] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [6, 8, 2] [6, 2] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [6, 8, 2] [6, 2] denominator=, [6, 9, 3] [9, 9, 0] [9, 0] --------- = ------ [6, 9, 3] [6, 3] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [6, 9, 3] [6, 3] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [6, 9, 3] [6, 3] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [6, 9, 3] [6, 3] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [6, 9, 3] [6, 3] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [6, 9, 3] [6, 3] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [6, 9, 3] [6, 3] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [6, 9, 3] [6, 3] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [6, 9, 3] [6, 3] denominator=, [6, 9, 9] [2, 7, 9, 6, 0] [2, 7, 6, 0] --------------- = ------------ [6, 9, 9] [6, 9] [4, 8, 9, 3, 0] [4, 8, 3, 0] --------------- = ------------ [6, 9, 9] [6, 9] denominator=, [6, 10, 4] [10, 10, 0] [10, 0] ----------- = ------- [6, 10, 4] [6, 4] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [6, 10, 4] [6, 4] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [6, 10, 4] [6, 4] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [6, 10, 4] [6, 4] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [6, 10, 4] [6, 4] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [6, 10, 4] [6, 4] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [6, 10, 4] [6, 4] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [6, 10, 4] [6, 4] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [6, 10, 4] [6, 4] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [6, 10, 4] [6, 4] denominator=, [6, 11, 0] [1, 11, 8, 16] [1, 8, 16] -------------- = ---------- [6, 11, 0] [6, 0] denominator=, [6, 11, 5] [11, 11, 0] [11, 0] ----------- = ------- [6, 11, 5] [6, 5] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [6, 11, 5] [6, 5] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [6, 11, 5] [6, 5] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [6, 11, 5] [6, 5] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [6, 11, 5] [6, 5] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [6, 11, 5] [6, 5] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [6, 11, 5] [6, 5] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [6, 11, 5] [6, 5] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [6, 11, 5] [6, 5] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [6, 11, 5] [6, 5] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [6, 11, 5] [6, 5] denominator=, [6, 11, 10] [1, 11, 11, 4] [1, 11, 4] -------------- = ---------- [6, 11, 10] [6, 10] [11, 11, 8, 16] [11, 8, 16] --------------- = ----------- [6, 11, 10] [6, 10] [16, 11, 7, 12] [16, 7, 12] --------------- = ----------- [6, 11, 10] [6, 10] [1, 1, 11, 6, 8] [1, 1, 6, 8] ---------------- = ------------ [6, 11, 10] [6, 10] [1, 6, 11, 5, 4] [1, 6, 5, 4] ---------------- = ------------ [6, 11, 10] [6, 10] [1, 16, 11, 2, 16] [1, 16, 2, 16] ------------------ = -------------- [6, 11, 10] [6, 10] [2, 1, 11, 1, 12] [2, 1, 1, 12] ----------------- = ------------- [6, 11, 10] [6, 10] [2, 6, 11, 0, 8] [2, 6, 0, 8] ---------------- = ------------ [6, 11, 10] [6, 10] denominator=, [6, 12, 6] [12, 12, 0] [12, 0] ----------- = ------- [6, 12, 6] [6, 6] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [6, 12, 6] [6, 6] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [6, 12, 6] [6, 6] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [6, 12, 6] [6, 6] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [6, 12, 6] [6, 6] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [6, 12, 6] [6, 6] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [6, 12, 6] [6, 6] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [6, 12, 6] [6, 6] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [6, 12, 6] [6, 6] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [6, 12, 6] [6, 6] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [6, 12, 6] [6, 6] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [6, 12, 6] [6, 6] denominator=, [6, 12, 12] [1, 7, 12, 10, 0] [1, 7, 10, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [2, 8, 12, 8, 0] [2, 8, 8, 0] ---------------- = ------------ [6, 12, 12] [6, 12] [4, 10, 12, 4, 0] [4, 10, 4, 0] ----------------- = ------------- [6, 12, 12] [6, 12] [5, 11, 12, 2, 0] [5, 11, 2, 0] ----------------- = ------------- [6, 12, 12] [6, 12] denominator=, [6, 13, 7] [13, 13, 0] [13, 0] ----------- = ------- [6, 13, 7] [6, 7] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [6, 13, 7] [6, 7] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [6, 13, 7] [6, 7] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [6, 13, 7] [6, 7] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [6, 13, 7] [6, 7] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [6, 13, 7] [6, 7] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [6, 13, 7] [6, 7] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [6, 13, 7] [6, 7] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [6, 13, 7] [6, 7] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [6, 13, 7] [6, 7] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [6, 13, 7] [6, 7] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [6, 13, 7] [6, 7] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [6, 13, 7] [6, 7] denominator=, [6, 14, 0] [2, 14, 8, 15] [2, 8, 15] -------------- = ---------- [6, 14, 0] [6, 0] denominator=, [6, 14, 8] [14, 14, 0] [14, 0] ----------- = ------- [6, 14, 8] [6, 8] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [6, 14, 8] [6, 8] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [6, 14, 8] [6, 8] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [6, 14, 8] [6, 8] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [6, 14, 8] [6, 8] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [6, 14, 8] [6, 8] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [6, 14, 8] [6, 8] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [6, 14, 8] [6, 8] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [6, 14, 8] [6, 8] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [6, 14, 8] [6, 8] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [6, 14, 8] [6, 8] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [6, 14, 8] [6, 8] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [6, 14, 8] [6, 8] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [6, 14, 8] [6, 8] denominator=, [6, 14, 12] [14, 14, 8, 15] [14, 8, 15] --------------- = ----------- [6, 14, 12] [6, 12] [1, 2, 14, 5, 10] [1, 2, 5, 10] ----------------- = ------------- [6, 14, 12] [6, 12] [1, 10, 14, 2, 5] [1, 10, 2, 5] ----------------- = ------------- [6, 14, 12] [6, 12] denominator=, [6, 14, 14] [1, 2, 14, 12, 5] [1, 2, 12, 5] ----------------- = ------------- [6, 14, 14] [6, 14] [2, 14, 14, 8, 15] [2, 14, 8, 15] ------------------ = -------------- [6, 14, 14] [6, 14] [4, 6, 14, 5, 5] [4, 6, 5, 5] ---------------- = ------------ [6, 14, 14] [6, 14] [5, 18, 14, 1, 15] [5, 18, 1, 15] ------------------ = -------------- [6, 14, 14] [6, 14] denominator=, [6, 15, 9] [15, 15, 0] [15, 0] ----------- = ------- [6, 15, 9] [6, 9] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [6, 15, 9] [6, 9] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [6, 15, 9] [6, 9] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [6, 15, 9] [6, 9] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [6, 15, 9] [6, 9] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [6, 15, 9] [6, 9] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [6, 15, 9] [6, 9] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [6, 15, 9] [6, 9] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [6, 15, 9] [6, 9] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [6, 15, 9] [6, 9] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [6, 15, 9] [6, 9] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [6, 15, 9] [6, 9] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [6, 15, 9] [6, 9] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [6, 15, 9] [6, 9] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [6, 15, 9] [6, 9] denominator=, [6, 15, 15] [2, 9, 15, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [6, 15, 15] [6, 15] [4, 12, 15, 5, 0] [4, 12, 5, 0] ----------------- = ------------- [6, 15, 15] [6, 15] denominator=, [6, 16, 10] [16, 16, 0] [16, 0] ----------- = ------- [6, 16, 10] [6, 10] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [6, 16, 10] [6, 10] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [6, 16, 10] [6, 10] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [6, 16, 10] [6, 10] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [6, 16, 10] [6, 10] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [6, 16, 10] [6, 10] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [6, 16, 10] [6, 10] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [6, 16, 10] [6, 10] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [6, 16, 10] [6, 10] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [6, 16, 10] [6, 10] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [6, 16, 10] [6, 10] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [6, 16, 10] [6, 10] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [6, 16, 10] [6, 10] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [6, 16, 10] [6, 10] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [6, 16, 10] [6, 10] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [6, 16, 10] [6, 10] denominator=, [6, 17, 11] [17, 17, 0] [17, 0] ----------- = ------- [6, 17, 11] [6, 11] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [6, 17, 11] [6, 11] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [6, 17, 11] [6, 11] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [6, 17, 11] [6, 11] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [6, 17, 11] [6, 11] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [6, 17, 11] [6, 11] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [6, 17, 11] [6, 11] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [6, 17, 11] [6, 11] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [6, 17, 11] [6, 11] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [6, 17, 11] [6, 11] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [6, 17, 11] [6, 11] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [6, 17, 11] [6, 11] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [6, 17, 11] [6, 11] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [6, 17, 11] [6, 11] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [6, 17, 11] [6, 11] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [6, 17, 11] [6, 11] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [6, 17, 11] [6, 11] denominator=, [6, 18, 1] [18, 16, 10] [16, 10] ------------ = -------- [6, 18, 1] [6, 1] [3, 18, 8, 15] [3, 8, 15] -------------- = ---------- [6, 18, 1] [6, 1] denominator=, [6, 18, 12] [18, 18, 0] [18, 0] ----------- = ------- [6, 18, 12] [6, 12] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [6, 18, 12] [6, 12] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [6, 18, 12] [6, 12] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [6, 18, 12] [6, 12] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [6, 18, 12] [6, 12] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [6, 18, 12] [6, 12] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [6, 18, 12] [6, 12] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [6, 18, 12] [6, 12] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [6, 18, 12] [6, 12] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [6, 18, 12] [6, 12] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [6, 18, 12] [6, 12] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [6, 18, 12] [6, 12] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [6, 18, 12] [6, 12] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [6, 18, 12] [6, 12] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [6, 18, 12] [6, 12] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [6, 18, 12] [6, 12] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [6, 18, 12] [6, 12] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [6, 18, 12] [6, 12] denominator=, [6, 18, 15] [17, 18, 8, 15] [17, 8, 15] --------------- = ----------- [6, 18, 15] [6, 15] [1, 8, 18, 2, 10] [1, 8, 2, 10] ----------------- = ------------- [6, 18, 15] [6, 15] denominator=, [6, 18, 18] [17, 18, 16, 10] [17, 16, 10] ---------------- = ------------ [6, 18, 18] [6, 18] [1, 8, 18, 15, 0] [1, 8, 15, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [2, 10, 18, 12, 0] [2, 10, 12, 0] ------------------ = -------------- [6, 18, 18] [6, 18] [3, 1, 18, 10, 10] [3, 1, 10, 10] ------------------ = -------------- [6, 18, 18] [6, 18] [4, 3, 18, 7, 10] [4, 3, 7, 10] ----------------- = ------------- [6, 18, 18] [6, 18] [4, 14, 18, 6, 0] [4, 14, 6, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [5, 16, 18, 3, 0] [5, 16, 3, 0] ----------------- = ------------- [6, 18, 18] [6, 18] [6, 7, 18, 1, 10] [6, 7, 1, 10] ----------------- = ------------- [6, 18, 18] [6, 18] denominator=, [6, 19, 6] [19, 18, 0] [18, 0] ----------- = ------- [6, 19, 6] [6, 6] [1, 19, 16, 0] [1, 16, 0] -------------- = ---------- [6, 19, 6] [6, 6] [2, 19, 14, 0] [2, 14, 0] -------------- = ---------- [6, 19, 6] [6, 6] [3, 19, 12, 0] [3, 12, 0] -------------- = ---------- [6, 19, 6] [6, 6] [4, 19, 10, 0] [4, 10, 0] -------------- = ---------- [6, 19, 6] [6, 6] [5, 19, 8, 0] [5, 8, 0] ------------- = --------- [6, 19, 6] [6, 6] [7, 19, 4, 0] [7, 4, 0] ------------- = --------- [6, 19, 6] [6, 6] [8, 19, 2, 0] [8, 2, 0] ------------- = --------- [6, 19, 6] [6, 6] [9, 19, 0, 0] [9, 0, 0] ------------- = --------- [6, 19, 6] [6, 6] denominator=, [6, 19, 13] [19, 19, 0] [19, 0] ----------- = ------- [6, 19, 13] [6, 13] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [6, 19, 13] [6, 13] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [6, 19, 13] [6, 13] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [6, 19, 13] [6, 13] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [6, 19, 13] [6, 13] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [6, 19, 13] [6, 13] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [6, 19, 13] [6, 13] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [6, 19, 13] [6, 13] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [6, 19, 13] [6, 13] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [6, 19, 13] [6, 13] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [6, 19, 13] [6, 13] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [6, 19, 13] [6, 13] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [6, 19, 13] [6, 13] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [6, 19, 13] [6, 13] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [6, 19, 13] [6, 13] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [6, 19, 13] [6, 13] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [6, 19, 13] [6, 13] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [6, 19, 13] [6, 13] denominator=, [7, 5, 4] [1, 10, 5, 0, 0] [1, 10, 0, 0] ---------------- = ------------- [7, 5, 4] [7, 4] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [7, 8, 1] [8, 8, 0] [8, 0] --------- = ------ [7, 8, 1] [7, 1] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [7, 8, 1] [7, 1] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [7, 8, 1] [7, 1] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [7, 8, 1] [7, 1] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [7, 8, 1] [7, 1] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [7, 8, 1] [7, 1] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [7, 8, 1] [7, 1] [8, 8, 0, 0] [8, 0, 0] ------------ = --------- [7, 8, 1] [7, 1] denominator=, [7, 9, 2] [9, 9, 0] [9, 0] --------- = ------ [7, 9, 2] [7, 2] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [7, 9, 2] [7, 2] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [7, 9, 2] [7, 2] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [7, 9, 2] [7, 2] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [7, 9, 2] [7, 2] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [7, 9, 2] [7, 2] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [7, 9, 2] [7, 2] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [7, 9, 2] [7, 2] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [7, 9, 2] [7, 2] denominator=, [7, 10, 3] [10, 10, 0] [10, 0] ----------- = ------- [7, 10, 3] [7, 3] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [7, 10, 3] [7, 3] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [7, 10, 3] [7, 3] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [7, 10, 3] [7, 3] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [7, 10, 3] [7, 3] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [7, 10, 3] [7, 3] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [7, 10, 3] [7, 3] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [7, 10, 3] [7, 3] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [7, 10, 3] [7, 3] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [7, 10, 3] [7, 3] denominator=, [7, 11, 4] [11, 11, 0] [11, 0] ----------- = ------- [7, 11, 4] [7, 4] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [7, 11, 4] [7, 4] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [7, 11, 4] [7, 4] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [7, 11, 4] [7, 4] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [7, 11, 4] [7, 4] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [7, 11, 4] [7, 4] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [7, 11, 4] [7, 4] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [7, 11, 4] [7, 4] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [7, 11, 4] [7, 4] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [7, 11, 4] [7, 4] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [7, 11, 4] [7, 4] denominator=, [7, 11, 8] [16, 11, 3, 15] [16, 3, 15] --------------- = ----------- [7, 11, 8] [7, 8] denominator=, [7, 11, 10] [1, 11, 11, 5] [1, 11, 5] -------------- = ---------- [7, 11, 10] [7, 10] [13, 11, 8, 15] [13, 8, 15] --------------- = ----------- [7, 11, 10] [7, 10] [19, 11, 7, 10] [19, 7, 10] --------------- = ----------- [7, 11, 10] [7, 10] [1, 5, 11, 6, 5] [1, 5, 6, 5] ---------------- = ------------ [7, 11, 10] [7, 10] [1, 11, 11, 5, 0] [1, 11, 5, 0] ----------------- = ------------- [7, 11, 10] [7, 10] [1, 17, 11, 3, 15] [1, 17, 3, 15] ------------------ = -------------- [7, 11, 10] [7, 10] [2, 9, 11, 1, 5] [2, 9, 1, 5] ---------------- = ------------ [7, 11, 10] [7, 10] [2, 15, 11, 0, 0] [2, 15, 0, 0] ----------------- = ------------- [7, 11, 10] [7, 10] denominator=, [7, 12, 5] [12, 12, 0] [12, 0] ----------- = ------- [7, 12, 5] [7, 5] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [7, 12, 5] [7, 5] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [7, 12, 5] [7, 5] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [7, 12, 5] [7, 5] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [7, 12, 5] [7, 5] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [7, 12, 5] [7, 5] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [7, 12, 5] [7, 5] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [7, 12, 5] [7, 5] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [7, 12, 5] [7, 5] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [7, 12, 5] [7, 5] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [7, 12, 5] [7, 5] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [7, 12, 5] [7, 5] denominator=, [7, 13, 6] [13, 13, 0] [13, 0] ----------- = ------- [7, 13, 6] [7, 6] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [7, 13, 6] [7, 6] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [7, 13, 6] [7, 6] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [7, 13, 6] [7, 6] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [7, 13, 6] [7, 6] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [7, 13, 6] [7, 6] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [7, 13, 6] [7, 6] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [7, 13, 6] [7, 6] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [7, 13, 6] [7, 6] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [7, 13, 6] [7, 6] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [7, 13, 6] [7, 6] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [7, 13, 6] [7, 6] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [7, 13, 6] [7, 6] denominator=, [7, 14, 7] [14, 14, 0] [14, 0] ----------- = ------- [7, 14, 7] [7, 7] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [7, 14, 7] [7, 7] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [7, 14, 7] [7, 7] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [7, 14, 7] [7, 7] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [7, 14, 7] [7, 7] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [7, 14, 7] [7, 7] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [7, 14, 7] [7, 7] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [7, 14, 7] [7, 7] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [7, 14, 7] [7, 7] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [7, 14, 7] [7, 7] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [7, 14, 7] [7, 7] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [7, 14, 7] [7, 7] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [7, 14, 7] [7, 7] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [7, 14, 7] [7, 7] denominator=, [7, 14, 13] [2, 16, 14, 2, 0] [2, 16, 2, 0] ----------------- = ------------- [7, 14, 13] [7, 13] denominator=, [7, 14, 14] [1, 8, 14, 12, 0] [1, 8, 12, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [2, 9, 14, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [3, 10, 14, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [4, 11, 14, 6, 0] [4, 11, 6, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [5, 12, 14, 4, 0] [5, 12, 4, 0] ----------------- = ------------- [7, 14, 14] [7, 14] [6, 13, 14, 2, 0] [6, 13, 2, 0] ----------------- = ------------- [7, 14, 14] [7, 14] denominator=, [7, 15, 8] [15, 15, 0] [15, 0] ----------- = ------- [7, 15, 8] [7, 8] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [7, 15, 8] [7, 8] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [7, 15, 8] [7, 8] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [7, 15, 8] [7, 8] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [7, 15, 8] [7, 8] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [7, 15, 8] [7, 8] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [7, 15, 8] [7, 8] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [7, 15, 8] [7, 8] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [7, 15, 8] [7, 8] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [7, 15, 8] [7, 8] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [7, 15, 8] [7, 8] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [7, 15, 8] [7, 8] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [7, 15, 8] [7, 8] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [7, 15, 8] [7, 8] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [7, 15, 8] [7, 8] denominator=, [7, 16, 9] [16, 16, 0] [16, 0] ----------- = ------- [7, 16, 9] [7, 9] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [7, 16, 9] [7, 9] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [7, 16, 9] [7, 9] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [7, 16, 9] [7, 9] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [7, 16, 9] [7, 9] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [7, 16, 9] [7, 9] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [7, 16, 9] [7, 9] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [7, 16, 9] [7, 9] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [7, 16, 9] [7, 9] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [7, 16, 9] [7, 9] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [7, 16, 9] [7, 9] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [7, 16, 9] [7, 9] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [7, 16, 9] [7, 9] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [7, 16, 9] [7, 9] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [7, 16, 9] [7, 9] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [7, 16, 9] [7, 9] denominator=, [7, 17, 0] [1, 17, 13, 12] [1, 13, 12] --------------- = ----------- [7, 17, 0] [7, 0] [4, 17, 6, 16] [4, 6, 16] -------------- = ---------- [7, 17, 0] [7, 0] denominator=, [7, 17, 1] [2, 17, 11, 14] [2, 11, 14] --------------- = ----------- [7, 17, 1] [7, 1] denominator=, [7, 17, 4] [2, 17, 12, 16] [2, 12, 16] --------------- = ----------- [7, 17, 4] [7, 4] denominator=, [7, 17, 5] [1, 17, 14, 16] [1, 14, 16] --------------- = ----------- [7, 17, 5] [7, 5] [4, 17, 9, 18] [4, 9, 18] -------------- = ---------- [7, 17, 5] [7, 5] [10, 17, 0, 2] [10, 0, 2] -------------- = ---------- [7, 17, 5] [7, 5] denominator=, [7, 17, 7] [2, 17, 13, 18] [2, 13, 18] --------------- = ----------- [7, 17, 7] [7, 7] [12, 17, 0, 2] [12, 0, 2] -------------- = ---------- [7, 17, 7] [7, 7] denominator=, [7, 17, 10] [17, 17, 0] [17, 0] ----------- = ------- [7, 17, 10] [7, 10] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [7, 17, 10] [7, 10] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [7, 17, 10] [7, 10] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [7, 17, 10] [7, 10] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [7, 17, 10] [7, 10] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [7, 17, 10] [7, 10] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [7, 17, 10] [7, 10] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [7, 17, 10] [7, 10] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [7, 17, 10] [7, 10] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [7, 17, 10] [7, 10] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [7, 17, 10] [7, 10] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [7, 17, 10] [7, 10] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [7, 17, 10] [7, 10] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [7, 17, 10] [7, 10] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [7, 17, 10] [7, 10] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [7, 17, 10] [7, 10] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [7, 17, 10] [7, 10] denominator=, [7, 17, 13] [2, 17, 16, 2] [2, 16, 2] -------------- = ---------- [7, 17, 13] [7, 13] [12, 17, 9, 18] [12, 9, 18] --------------- = ----------- [7, 17, 13] [7, 13] [17, 17, 6, 16] [17, 6, 16] --------------- = ----------- [7, 17, 13] [7, 13] [1, 7, 17, 0, 12] [1, 7, 0, 12] ----------------- = ------------- [7, 17, 13] [7, 13] denominator=, [7, 17, 15] [1, 17, 17, 4] [1, 17, 4] -------------- = ---------- [7, 17, 15] [7, 15] [4, 17, 16, 2] [4, 16, 2] -------------- = ---------- [7, 17, 15] [7, 15] [10, 17, 13, 18] [10, 13, 18] ---------------- = ------------ [7, 17, 15] [7, 15] [13, 17, 12, 16] [13, 12, 16] ---------------- = ------------ [7, 17, 15] [7, 15] [16, 17, 11, 14] [16, 11, 14] ---------------- = ------------ [7, 17, 15] [7, 15] [19, 17, 10, 12] [19, 10, 12] ---------------- = ------------ [7, 17, 15] [7, 15] [1, 5, 17, 8, 8] [1, 5, 8, 8] ---------------- = ------------ [7, 17, 15] [7, 15] [1, 8, 17, 7, 6] [1, 8, 7, 6] ---------------- = ------------ [7, 17, 15] [7, 15] [1, 11, 17, 6, 4] [1, 11, 6, 4] ----------------- = ------------- [7, 17, 15] [7, 15] [1, 14, 17, 5, 2] [1, 14, 5, 2] ----------------- = ------------- [7, 17, 15] [7, 15] [2, 0, 17, 2, 18] [2, 0, 2, 18] ----------------- = ------------- [7, 17, 15] [7, 15] [2, 3, 17, 1, 16] [2, 3, 1, 16] ----------------- = ------------- [7, 17, 15] [7, 15] [2, 6, 17, 0, 14] [2, 6, 0, 14] ----------------- = ------------- [7, 17, 15] [7, 15] denominator=, [7, 17, 16] [2, 17, 17, 4] [2, 17, 4] -------------- = ---------- [7, 17, 16] [7, 16] [12, 17, 14, 16] [12, 14, 16] ---------------- = ------------ [7, 17, 16] [7, 16] [17, 17, 13, 12] [17, 13, 12] ---------------- = ------------ [7, 17, 16] [7, 16] [1, 7, 17, 11, 4] [1, 7, 11, 4] ----------------- = ------------- [7, 17, 16] [7, 16] [1, 12, 17, 10, 0] [1, 12, 10, 0] ------------------ = -------------- [7, 17, 16] [7, 16] [2, 2, 17, 7, 12] [2, 2, 7, 12] ----------------- = ------------- [7, 17, 16] [7, 16] [2, 7, 17, 6, 8] [2, 7, 6, 8] ---------------- = ------------ [7, 17, 16] [7, 16] [2, 17, 17, 4, 0] [2, 17, 4, 0] ----------------- = ------------- [7, 17, 16] [7, 16] [3, 2, 17, 2, 16] [3, 2, 2, 16] ----------------- = ------------- [7, 17, 16] [7, 16] [3, 12, 17, 0, 8] [3, 12, 0, 8] ----------------- = ------------- [7, 17, 16] [7, 16] denominator=, [7, 18, 11] [18, 18, 0] [18, 0] ----------- = ------- [7, 18, 11] [7, 11] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [7, 18, 11] [7, 11] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [7, 18, 11] [7, 11] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [7, 18, 11] [7, 11] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [7, 18, 11] [7, 11] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [7, 18, 11] [7, 11] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [7, 18, 11] [7, 11] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [7, 18, 11] [7, 11] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [7, 18, 11] [7, 11] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [7, 18, 11] [7, 11] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [7, 18, 11] [7, 11] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [7, 18, 11] [7, 11] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [7, 18, 11] [7, 11] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [7, 18, 11] [7, 11] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [7, 18, 11] [7, 11] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [7, 18, 11] [7, 11] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [7, 18, 11] [7, 11] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [7, 18, 11] [7, 11] denominator=, [7, 19, 0] [19, 17, 10] [17, 10] ------------ = -------- [7, 19, 0] [7, 0] [2, 19, 12, 10] [2, 12, 10] --------------- = ----------- [7, 19, 0] [7, 0] [4, 19, 7, 10] [4, 7, 10] -------------- = ---------- [7, 19, 0] [7, 0] [6, 19, 2, 10] [6, 2, 10] -------------- = ---------- [7, 19, 0] [7, 0] denominator=, [7, 19, 2] [19, 17, 15] [17, 15] ------------ = -------- [7, 19, 2] [7, 2] [2, 19, 13, 5] [2, 13, 5] -------------- = ---------- [7, 19, 2] [7, 2] [4, 19, 8, 15] [4, 8, 15] -------------- = ---------- [7, 19, 2] [7, 2] [6, 19, 4, 5] [6, 4, 5] ------------- = --------- [7, 19, 2] [7, 2] denominator=, [7, 19, 4] [19, 18, 0] [18, 0] ----------- = ------- [7, 19, 4] [7, 4] [2, 19, 14, 0] [2, 14, 0] -------------- = ---------- [7, 19, 4] [7, 4] [4, 19, 10, 0] [4, 10, 0] -------------- = ---------- [7, 19, 4] [7, 4] [6, 19, 6, 0] [6, 6, 0] ------------- = --------- [7, 19, 4] [7, 4] [8, 19, 2, 0] [8, 2, 0] ------------- = --------- [7, 19, 4] [7, 4] denominator=, [7, 19, 6] [19, 18, 5] [18, 5] ----------- = ------- [7, 19, 6] [7, 6] [2, 19, 14, 15] [2, 14, 15] --------------- = ----------- [7, 19, 6] [7, 6] [4, 19, 11, 5] [4, 11, 5] -------------- = ---------- [7, 19, 6] [7, 6] [6, 19, 7, 15] [6, 7, 15] -------------- = ---------- [7, 19, 6] [7, 6] [8, 19, 4, 5] [8, 4, 5] ------------- = --------- [7, 19, 6] [7, 6] [10, 19, 0, 15] [10, 0, 15] --------------- = ----------- [7, 19, 6] [7, 6] denominator=, [7, 19, 8] [19, 18, 10] [18, 10] ------------ = -------- [7, 19, 8] [7, 8] [2, 19, 15, 10] [2, 15, 10] --------------- = ----------- [7, 19, 8] [7, 8] [4, 19, 12, 10] [4, 12, 10] --------------- = ----------- [7, 19, 8] [7, 8] [6, 19, 9, 10] [6, 9, 10] -------------- = ---------- [7, 19, 8] [7, 8] [8, 19, 6, 10] [8, 6, 10] -------------- = ---------- [7, 19, 8] [7, 8] [10, 19, 3, 10] [10, 3, 10] --------------- = ----------- [7, 19, 8] [7, 8] [12, 19, 0, 10] [12, 0, 10] --------------- = ----------- [7, 19, 8] [7, 8] denominator=, [7, 19, 10] [19, 18, 15] [18, 15] ------------ = -------- [7, 19, 10] [7, 10] [2, 19, 16, 5] [2, 16, 5] -------------- = ---------- [7, 19, 10] [7, 10] [4, 19, 13, 15] [4, 13, 15] --------------- = ----------- [7, 19, 10] [7, 10] [6, 19, 11, 5] [6, 11, 5] -------------- = ---------- [7, 19, 10] [7, 10] [8, 19, 8, 15] [8, 8, 15] -------------- = ---------- [7, 19, 10] [7, 10] [10, 19, 6, 5] [10, 6, 5] -------------- = ---------- [7, 19, 10] [7, 10] [12, 19, 3, 15] [12, 3, 15] --------------- = ----------- [7, 19, 10] [7, 10] [14, 19, 1, 5] [14, 1, 5] -------------- = ---------- [7, 19, 10] [7, 10] denominator=, [7, 19, 12] [19, 19, 0] [19, 0] ----------- = ------- [7, 19, 12] [7, 12] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [7, 19, 12] [7, 12] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [7, 19, 12] [7, 12] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [7, 19, 12] [7, 12] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [7, 19, 12] [7, 12] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [7, 19, 12] [7, 12] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [7, 19, 12] [7, 12] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [7, 19, 12] [7, 12] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [7, 19, 12] [7, 12] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [7, 19, 12] [7, 12] denominator=, [7, 19, 14] [19, 19, 5] [19, 5] ----------- = ------- [7, 19, 14] [7, 14] [2, 19, 17, 15] [2, 17, 15] --------------- = ----------- [7, 19, 14] [7, 14] [4, 19, 16, 5] [4, 16, 5] -------------- = ---------- [7, 19, 14] [7, 14] [6, 19, 14, 15] [6, 14, 15] --------------- = ----------- [7, 19, 14] [7, 14] [8, 19, 13, 5] [8, 13, 5] -------------- = ---------- [7, 19, 14] [7, 14] [10, 19, 11, 15] [10, 11, 15] ---------------- = ------------ [7, 19, 14] [7, 14] [12, 19, 10, 5] [12, 10, 5] --------------- = ----------- [7, 19, 14] [7, 14] [14, 19, 8, 15] [14, 8, 15] --------------- = ----------- [7, 19, 14] [7, 14] [16, 19, 7, 5] [16, 7, 5] -------------- = ---------- [7, 19, 14] [7, 14] [18, 19, 5, 15] [18, 5, 15] --------------- = ----------- [7, 19, 14] [7, 14] [1, 0, 19, 4, 5] [1, 0, 4, 5] ---------------- = ------------ [7, 19, 14] [7, 14] [1, 2, 19, 2, 15] [1, 2, 2, 15] ----------------- = ------------- [7, 19, 14] [7, 14] [1, 4, 19, 1, 5] [1, 4, 1, 5] ---------------- = ------------ [7, 19, 14] [7, 14] denominator=, [7, 19, 16] [19, 19, 10] [19, 10] ------------ = -------- [7, 19, 16] [7, 16] [2, 19, 18, 10] [2, 18, 10] --------------- = ----------- [7, 19, 16] [7, 16] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [7, 19, 16] [7, 16] [6, 19, 16, 10] [6, 16, 10] --------------- = ----------- [7, 19, 16] [7, 16] [8, 19, 15, 10] [8, 15, 10] --------------- = ----------- [7, 19, 16] [7, 16] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [7, 19, 16] [7, 16] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [7, 19, 16] [7, 16] [14, 19, 12, 10] [14, 12, 10] ---------------- = ------------ [7, 19, 16] [7, 16] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [7, 19, 16] [7, 16] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [7, 19, 16] [7, 16] [1, 0, 19, 9, 10] [1, 0, 9, 10] ----------------- = ------------- [7, 19, 16] [7, 16] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [7, 19, 16] [7, 16] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [7, 19, 16] [7, 16] [1, 6, 19, 6, 10] [1, 6, 6, 10] ----------------- = ------------- [7, 19, 16] [7, 16] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [7, 19, 16] [7, 16] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [7, 19, 16] [7, 16] [1, 12, 19, 3, 10] [1, 12, 3, 10] ------------------ = -------------- [7, 19, 16] [7, 16] [1, 14, 19, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [7, 19, 16] [7, 16] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [7, 19, 16] [7, 16] [1, 18, 19, 0, 10] [1, 18, 0, 10] ------------------ = -------------- [7, 19, 16] [7, 16] denominator=, [7, 19, 18] [19, 19, 15] [19, 15] ------------ = -------- [7, 19, 18] [7, 18] [2, 19, 19, 5] [2, 19, 5] -------------- = ---------- [7, 19, 18] [7, 18] [4, 19, 18, 15] [4, 18, 15] --------------- = ----------- [7, 19, 18] [7, 18] [6, 19, 18, 5] [6, 18, 5] -------------- = ---------- [7, 19, 18] [7, 18] [8, 19, 17, 15] [8, 17, 15] --------------- = ----------- [7, 19, 18] [7, 18] [10, 19, 17, 5] [10, 17, 5] --------------- = ----------- [7, 19, 18] [7, 18] [12, 19, 16, 15] [12, 16, 15] ---------------- = ------------ [7, 19, 18] [7, 18] [14, 19, 16, 5] [14, 16, 5] --------------- = ----------- [7, 19, 18] [7, 18] [16, 19, 15, 15] [16, 15, 15] ---------------- = ------------ [7, 19, 18] [7, 18] [18, 19, 15, 5] [18, 15, 5] --------------- = ----------- [7, 19, 18] [7, 18] [1, 0, 19, 14, 15] [1, 0, 14, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [1, 2, 19, 14, 5] [1, 2, 14, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [1, 4, 19, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [1, 6, 19, 13, 5] [1, 6, 13, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [1, 8, 19, 12, 15] [1, 8, 12, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [1, 10, 19, 12, 5] [1, 10, 12, 5] ------------------ = -------------- [7, 19, 18] [7, 18] [1, 12, 19, 11, 15] [1, 12, 11, 15] ------------------- = --------------- [7, 19, 18] [7, 18] [1, 14, 19, 11, 5] [1, 14, 11, 5] ------------------ = -------------- [7, 19, 18] [7, 18] [1, 16, 19, 10, 15] [1, 16, 10, 15] ------------------- = --------------- [7, 19, 18] [7, 18] [1, 18, 19, 10, 5] [1, 18, 10, 5] ------------------ = -------------- [7, 19, 18] [7, 18] [2, 0, 19, 9, 15] [2, 0, 9, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [2, 2, 19, 9, 5] [2, 2, 9, 5] ---------------- = ------------ [7, 19, 18] [7, 18] [2, 4, 19, 8, 15] [2, 4, 8, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [2, 6, 19, 8, 5] [2, 6, 8, 5] ---------------- = ------------ [7, 19, 18] [7, 18] [2, 8, 19, 7, 15] [2, 8, 7, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [2, 10, 19, 7, 5] [2, 10, 7, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [2, 12, 19, 6, 15] [2, 12, 6, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [2, 14, 19, 6, 5] [2, 14, 6, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [2, 16, 19, 5, 15] [2, 16, 5, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [2, 18, 19, 5, 5] [2, 18, 5, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 0, 19, 4, 15] [3, 0, 4, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 2, 19, 4, 5] [3, 2, 4, 5] ---------------- = ------------ [7, 19, 18] [7, 18] [3, 4, 19, 3, 15] [3, 4, 3, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 6, 19, 3, 5] [3, 6, 3, 5] ---------------- = ------------ [7, 19, 18] [7, 18] [3, 8, 19, 2, 15] [3, 8, 2, 15] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 10, 19, 2, 5] [3, 10, 2, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 12, 19, 1, 15] [3, 12, 1, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [3, 14, 19, 1, 5] [3, 14, 1, 5] ----------------- = ------------- [7, 19, 18] [7, 18] [3, 16, 19, 0, 15] [3, 16, 0, 15] ------------------ = -------------- [7, 19, 18] [7, 18] [3, 18, 19, 0, 5] [3, 18, 0, 5] ----------------- = ------------- [7, 19, 18] [7, 18] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 19] [10, 2, 19] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 18] [12, 1, 18] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 17] [14, 0, 17] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 17] [12, 4, 17] -------------- = ----------- [8, 8, 6] [8, 6] [1, 0, 8, 2, 11] [1, 0, 2, 11] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 8, 8, 0, 5] [1, 8, 0, 5] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [8, 9, 1] [9, 9, 0] [9, 0] --------- = ------ [8, 9, 1] [8, 1] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [8, 9, 1] [8, 1] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [8, 9, 1] [8, 1] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [8, 9, 1] [8, 1] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [8, 9, 1] [8, 1] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [8, 9, 1] [8, 1] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [8, 9, 1] [8, 1] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [8, 9, 1] [8, 1] [9, 9, 0, 0] [9, 0, 0] ------------ = --------- [8, 9, 1] [8, 1] denominator=, [8, 9, 8] [1, 11, 9, 4, 0] [1, 11, 4, 0] ---------------- = ------------- [8, 9, 8] [8, 8] [2, 14, 9, 0, 0] [2, 14, 0, 0] ---------------- = ------------- [8, 9, 8] [8, 8] denominator=, [8, 10, 2] [10, 10, 0] [10, 0] ----------- = ------- [8, 10, 2] [8, 2] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [8, 10, 2] [8, 2] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [8, 10, 2] [8, 2] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [8, 10, 2] [8, 2] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [8, 10, 2] [8, 2] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [8, 10, 2] [8, 2] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [8, 10, 2] [8, 2] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [8, 10, 2] [8, 2] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [8, 10, 2] [8, 2] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [8, 10, 2] [8, 2] denominator=, [8, 10, 8] [1, 15, 10, 0, 0] [1, 15, 0, 0] ----------------- = ------------- [8, 10, 8] [8, 8] denominator=, [8, 11, 3] [11, 11, 0] [11, 0] ----------- = ------- [8, 11, 3] [8, 3] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [8, 11, 3] [8, 3] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [8, 11, 3] [8, 3] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [8, 11, 3] [8, 3] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [8, 11, 3] [8, 3] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [8, 11, 3] [8, 3] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [8, 11, 3] [8, 3] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [8, 11, 3] [8, 3] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [8, 11, 3] [8, 3] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [8, 11, 3] [8, 3] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [8, 11, 3] [8, 3] denominator=, [8, 12, 4] [12, 12, 0] [12, 0] ----------- = ------- [8, 12, 4] [8, 4] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [8, 12, 4] [8, 4] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [8, 12, 4] [8, 4] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [8, 12, 4] [8, 4] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [8, 12, 4] [8, 4] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [8, 12, 4] [8, 4] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [8, 12, 4] [8, 4] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [8, 12, 4] [8, 4] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [8, 12, 4] [8, 4] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [8, 12, 4] [8, 4] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [8, 12, 4] [8, 4] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [8, 12, 4] [8, 4] denominator=, [8, 13, 5] [13, 13, 0] [13, 0] ----------- = ------- [8, 13, 5] [8, 5] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [8, 13, 5] [8, 5] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [8, 13, 5] [8, 5] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [8, 13, 5] [8, 5] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [8, 13, 5] [8, 5] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [8, 13, 5] [8, 5] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [8, 13, 5] [8, 5] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [8, 13, 5] [8, 5] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [8, 13, 5] [8, 5] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [8, 13, 5] [8, 5] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [8, 13, 5] [8, 5] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [8, 13, 5] [8, 5] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [8, 13, 5] [8, 5] denominator=, [8, 13, 8] [19, 13, 0, 16] [19, 0, 16] --------------- = ----------- [8, 13, 8] [8, 8] denominator=, [8, 13, 11] [19, 13, 7, 12] [19, 7, 12] --------------- = ----------- [8, 13, 11] [8, 11] [1, 10, 13, 4, 4] [1, 10, 4, 4] ----------------- = ------------- [8, 13, 11] [8, 11] denominator=, [8, 14, 6] [14, 14, 0] [14, 0] ----------- = ------- [8, 14, 6] [8, 6] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [8, 14, 6] [8, 6] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [8, 14, 6] [8, 6] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [8, 14, 6] [8, 6] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [8, 14, 6] [8, 6] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [8, 14, 6] [8, 6] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [8, 14, 6] [8, 6] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [8, 14, 6] [8, 6] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [8, 14, 6] [8, 6] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [8, 14, 6] [8, 6] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [8, 14, 6] [8, 6] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [8, 14, 6] [8, 6] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [8, 14, 6] [8, 6] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [8, 14, 6] [8, 6] denominator=, [8, 15, 7] [15, 15, 0] [15, 0] ----------- = ------- [8, 15, 7] [8, 7] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [8, 15, 7] [8, 7] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [8, 15, 7] [8, 7] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [8, 15, 7] [8, 7] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [8, 15, 7] [8, 7] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [8, 15, 7] [8, 7] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [8, 15, 7] [8, 7] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [8, 15, 7] [8, 7] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [8, 15, 7] [8, 7] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [8, 15, 7] [8, 7] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [8, 15, 7] [8, 7] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [8, 15, 7] [8, 7] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [8, 15, 7] [8, 7] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [8, 15, 7] [8, 7] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [8, 15, 7] [8, 7] denominator=, [8, 16, 1] [2, 16, 11, 15] [2, 11, 15] --------------- = ----------- [8, 16, 1] [8, 1] denominator=, [8, 16, 2] [1, 16, 13, 15] [1, 13, 15] --------------- = ----------- [8, 16, 2] [8, 2] denominator=, [8, 16, 8] [16, 16, 0] [16, 0] ----------- = ------- [8, 16, 8] [8, 8] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [8, 16, 8] [8, 8] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [8, 16, 8] [8, 8] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [8, 16, 8] [8, 8] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [8, 16, 8] [8, 8] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [8, 16, 8] [8, 8] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [8, 16, 8] [8, 8] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [8, 16, 8] [8, 8] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [8, 16, 8] [8, 8] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [8, 16, 8] [8, 8] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [8, 16, 8] [8, 8] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [8, 16, 8] [8, 8] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [8, 16, 8] [8, 8] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [8, 16, 8] [8, 8] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [8, 16, 8] [8, 8] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [8, 16, 8] [8, 8] denominator=, [8, 16, 11] [1, 2, 16, 1, 15] [1, 2, 1, 15] ----------------- = ------------- [8, 16, 11] [8, 11] denominator=, [8, 16, 12] [1, 9, 16, 0, 10] [1, 9, 0, 10] ----------------- = ------------- [8, 16, 12] [8, 12] denominator=, [8, 16, 14] [1, 16, 16, 5] [1, 16, 5] -------------- = ---------- [8, 16, 14] [8, 14] [15, 16, 11, 15] [15, 11, 15] ---------------- = ------------ [8, 16, 14] [8, 14] [1, 2, 16, 9, 10] [1, 2, 9, 10] ----------------- = ------------- [8, 16, 14] [8, 14] [1, 9, 16, 7, 5] [1, 9, 7, 5] ---------------- = ------------ [8, 16, 14] [8, 14] [1, 16, 16, 5, 0] [1, 16, 5, 0] ----------------- = ------------- [8, 16, 14] [8, 14] [2, 3, 16, 2, 15] [2, 3, 2, 15] ----------------- = ------------- [8, 16, 14] [8, 14] denominator=, [8, 16, 15] [2, 16, 16, 5] [2, 16, 5] -------------- = ---------- [8, 16, 15] [8, 15] [14, 16, 13, 15] [14, 13, 15] ---------------- = ------------ [8, 16, 15] [8, 15] [1, 0, 16, 12, 10] [1, 0, 12, 10] ------------------ = -------------- [8, 16, 15] [8, 15] [1, 6, 16, 11, 5] [1, 6, 11, 5] ----------------- = ------------- [8, 16, 15] [8, 15] [1, 12, 16, 10, 0] [1, 12, 10, 0] ------------------ = -------------- [8, 16, 15] [8, 15] [1, 18, 16, 8, 15] [1, 18, 8, 15] ------------------ = -------------- [8, 16, 15] [8, 15] [2, 4, 16, 7, 10] [2, 4, 7, 10] ----------------- = ------------- [8, 16, 15] [8, 15] [2, 16, 16, 5, 0] [2, 16, 5, 0] ----------------- = ------------- [8, 16, 15] [8, 15] [3, 2, 16, 3, 15] [3, 2, 3, 15] ----------------- = ------------- [8, 16, 15] [8, 15] [3, 8, 16, 2, 10] [3, 8, 2, 10] ----------------- = ------------- [8, 16, 15] [8, 15] [3, 14, 16, 1, 5] [3, 14, 1, 5] ----------------- = ------------- [8, 16, 15] [8, 15] [4, 0, 16, 0, 0] [4, 0, 0, 0] ---------------- = ------------ [8, 16, 15] [8, 15] denominator=, [8, 16, 16] [1, 9, 16, 14, 0] [1, 9, 14, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [3, 11, 16, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [8, 16, 16] [8, 16] [5, 13, 16, 6, 0] [5, 13, 6, 0] ----------------- = ------------- [8, 16, 16] [8, 16] [7, 15, 16, 2, 0] [7, 15, 2, 0] ----------------- = ------------- [8, 16, 16] [8, 16] denominator=, [8, 17, 9] [17, 17, 0] [17, 0] ----------- = ------- [8, 17, 9] [8, 9] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [8, 17, 9] [8, 9] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [8, 17, 9] [8, 9] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [8, 17, 9] [8, 9] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [8, 17, 9] [8, 9] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [8, 17, 9] [8, 9] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [8, 17, 9] [8, 9] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [8, 17, 9] [8, 9] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [8, 17, 9] [8, 9] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [8, 17, 9] [8, 9] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [8, 17, 9] [8, 9] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [8, 17, 9] [8, 9] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [8, 17, 9] [8, 9] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [8, 17, 9] [8, 9] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [8, 17, 9] [8, 9] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [8, 17, 9] [8, 9] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [8, 17, 9] [8, 9] denominator=, [8, 18, 10] [18, 18, 0] [18, 0] ----------- = ------- [8, 18, 10] [8, 10] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [8, 18, 10] [8, 10] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [8, 18, 10] [8, 10] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [8, 18, 10] [8, 10] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [8, 18, 10] [8, 10] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [8, 18, 10] [8, 10] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [8, 18, 10] [8, 10] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [8, 18, 10] [8, 10] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [8, 18, 10] [8, 10] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [8, 18, 10] [8, 10] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [8, 18, 10] [8, 10] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [8, 18, 10] [8, 10] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [8, 18, 10] [8, 10] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [8, 18, 10] [8, 10] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [8, 18, 10] [8, 10] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [8, 18, 10] [8, 10] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [8, 18, 10] [8, 10] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [8, 18, 10] [8, 10] denominator=, [8, 19, 2] [19, 18, 0] [18, 0] ----------- = ------- [8, 19, 2] [8, 2] [1, 19, 16, 0] [1, 16, 0] -------------- = ---------- [8, 19, 2] [8, 2] [2, 19, 14, 0] [2, 14, 0] -------------- = ---------- [8, 19, 2] [8, 2] [3, 19, 12, 0] [3, 12, 0] -------------- = ---------- [8, 19, 2] [8, 2] [4, 19, 10, 0] [4, 10, 0] -------------- = ---------- [8, 19, 2] [8, 2] [5, 19, 8, 0] [5, 8, 0] ------------- = --------- [8, 19, 2] [8, 2] [6, 19, 6, 0] [6, 6, 0] ------------- = --------- [8, 19, 2] [8, 2] [7, 19, 4, 0] [7, 4, 0] ------------- = --------- [8, 19, 2] [8, 2] [9, 19, 0, 0] [9, 0, 0] ------------- = --------- [8, 19, 2] [8, 2] denominator=, [8, 19, 5] [2, 19, 15, 0] [2, 15, 0] -------------- = ---------- [8, 19, 5] [8, 5] [5, 19, 10, 0] [5, 10, 0] -------------- = ---------- [8, 19, 5] [8, 5] [11, 19, 0, 0] [11, 0, 0] -------------- = ---------- [8, 19, 5] [8, 5] denominator=, [8, 19, 8] [2, 19, 16, 0] [2, 16, 0] -------------- = ---------- [8, 19, 8] [8, 8] [5, 19, 12, 0] [5, 12, 0] -------------- = ---------- [8, 19, 8] [8, 8] [11, 19, 4, 0] [11, 4, 0] -------------- = ---------- [8, 19, 8] [8, 8] [14, 19, 0, 0] [14, 0, 0] -------------- = ---------- [8, 19, 8] [8, 8] denominator=, [8, 19, 11] [19, 19, 0] [19, 0] ----------- = ------- [8, 19, 11] [8, 11] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [8, 19, 11] [8, 11] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [8, 19, 11] [8, 11] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [8, 19, 11] [8, 11] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [8, 19, 11] [8, 11] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [8, 19, 11] [8, 11] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [8, 19, 11] [8, 11] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [8, 19, 11] [8, 11] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [8, 19, 11] [8, 11] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [8, 19, 11] [8, 11] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [8, 19, 11] [8, 11] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [8, 19, 11] [8, 11] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [8, 19, 11] [8, 11] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [8, 19, 11] [8, 11] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [8, 19, 11] [8, 11] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [8, 19, 11] [8, 11] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [8, 19, 11] [8, 11] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [8, 19, 11] [8, 11] denominator=, [8, 19, 14] [2, 19, 18, 0] [2, 18, 0] -------------- = ---------- [8, 19, 14] [8, 14] [5, 19, 16, 0] [5, 16, 0] -------------- = ---------- [8, 19, 14] [8, 14] [11, 19, 12, 0] [11, 12, 0] --------------- = ----------- [8, 19, 14] [8, 14] [14, 19, 10, 0] [14, 10, 0] --------------- = ----------- [8, 19, 14] [8, 14] [1, 0, 19, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [8, 19, 14] [8, 14] [1, 3, 19, 4, 0] [1, 3, 4, 0] ---------------- = ------------ [8, 19, 14] [8, 14] [1, 9, 19, 0, 0] [1, 9, 0, 0] ---------------- = ------------ [8, 19, 14] [8, 14] denominator=, [8, 19, 17] [2, 19, 19, 0] [2, 19, 0] -------------- = ---------- [8, 19, 17] [8, 17] [5, 19, 18, 0] [5, 18, 0] -------------- = ---------- [8, 19, 17] [8, 17] [11, 19, 16, 0] [11, 16, 0] --------------- = ----------- [8, 19, 17] [8, 17] [14, 19, 15, 0] [14, 15, 0] --------------- = ----------- [8, 19, 17] [8, 17] [1, 0, 19, 13, 0] [1, 0, 13, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [1, 3, 19, 12, 0] [1, 3, 12, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [1, 9, 19, 10, 0] [1, 9, 10, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [1, 12, 19, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [1, 18, 19, 7, 0] [1, 18, 7, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [2, 1, 19, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [8, 19, 17] [8, 17] [2, 7, 19, 4, 0] [2, 7, 4, 0] ---------------- = ------------ [8, 19, 17] [8, 17] [2, 10, 19, 3, 0] [2, 10, 3, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [2, 16, 19, 1, 0] [2, 16, 1, 0] ----------------- = ------------- [8, 19, 17] [8, 17] [2, 19, 19, 0, 0] [2, 19, 0, 0] ----------------- = ------------- [8, 19, 17] [8, 17] denominator=, [9, 3, 3] [1, 18, 3, 2, 10] [1, 18, 2, 10] ----------------- = -------------- [9, 3, 3] [9, 3] [3, 7, 3, 2, 0] [3, 7, 2, 0] --------------- = ------------ [9, 3, 3] [9, 3] [6, 5, 3, 1, 0] [6, 5, 1, 0] --------------- = ------------ [9, 3, 3] [9, 3] [7, 14, 3, 0, 10] [7, 14, 0, 10] ----------------- = -------------- [9, 3, 3] [9, 3] denominator=, [9, 4, 0] [2, 4, 3, 4] [2, 3, 4] ------------ = --------- [9, 4, 0] [9, 0] denominator=, [9, 4, 2] [4, 4, 3, 4] [4, 3, 4] ------------ = --------- [9, 4, 2] [9, 2] [14, 4, 0, 16] [14, 0, 16] -------------- = ----------- [9, 4, 2] [9, 2] denominator=, [9, 5, 4] [1, 0, 5, 2, 10] [1, 0, 2, 10] ---------------- = ------------- [9, 5, 4] [9, 4] [1, 11, 5, 1, 0] [1, 11, 1, 0] ---------------- = ------------- [9, 5, 4] [9, 4] denominator=, [9, 6, 6] [3, 8, 6, 4, 0] [3, 8, 4, 0] --------------- = ------------ [9, 6, 6] [9, 6] [6, 7, 6, 2, 0] [6, 7, 2, 0] --------------- = ------------ [9, 6, 6] [9, 6] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 19] [12, 0, 19] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 18] [12, 4, 18] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 16] [15, 3, 16] -------------- = ----------- [9, 9, 6] [9, 6] [1, 1, 9, 1, 12] [1, 1, 1, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 4, 9, 0, 10] [1, 4, 0, 10] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [9, 10, 1] [10, 10, 0] [10, 0] ----------- = ------- [9, 10, 1] [9, 1] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [9, 10, 1] [9, 1] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [9, 10, 1] [9, 1] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [9, 10, 1] [9, 1] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [9, 10, 1] [9, 1] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [9, 10, 1] [9, 1] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [9, 10, 1] [9, 1] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [9, 10, 1] [9, 1] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [9, 10, 1] [9, 1] [10, 10, 0, 0] [10, 0, 0] -------------- = ---------- [9, 10, 1] [9, 1] denominator=, [9, 11, 2] [11, 11, 0] [11, 0] ----------- = ------- [9, 11, 2] [9, 2] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [9, 11, 2] [9, 2] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [9, 11, 2] [9, 2] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [9, 11, 2] [9, 2] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [9, 11, 2] [9, 2] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [9, 11, 2] [9, 2] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [9, 11, 2] [9, 2] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [9, 11, 2] [9, 2] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [9, 11, 2] [9, 2] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [9, 11, 2] [9, 2] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [9, 11, 2] [9, 2] denominator=, [9, 11, 9] [1, 2, 11, 5, 10] [1, 2, 5, 10] ----------------- = ------------- [9, 11, 9] [9, 9] [1, 15, 11, 2, 0] [1, 15, 2, 0] ----------------- = ------------- [9, 11, 9] [9, 9] denominator=, [9, 12, 3] [12, 12, 0] [12, 0] ----------- = ------- [9, 12, 3] [9, 3] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [9, 12, 3] [9, 3] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [9, 12, 3] [9, 3] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [9, 12, 3] [9, 3] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [9, 12, 3] [9, 3] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [9, 12, 3] [9, 3] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [9, 12, 3] [9, 3] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [9, 12, 3] [9, 3] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [9, 12, 3] [9, 3] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [9, 12, 3] [9, 3] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [9, 12, 3] [9, 3] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [9, 12, 3] [9, 3] denominator=, [9, 12, 12] [3, 10, 12, 8, 0] [3, 10, 8, 0] ----------------- = ------------- [9, 12, 12] [9, 12] [6, 11, 12, 4, 0] [6, 11, 4, 0] ----------------- = ------------- [9, 12, 12] [9, 12] denominator=, [9, 13, 4] [13, 13, 0] [13, 0] ----------- = ------- [9, 13, 4] [9, 4] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [9, 13, 4] [9, 4] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [9, 13, 4] [9, 4] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [9, 13, 4] [9, 4] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [9, 13, 4] [9, 4] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [9, 13, 4] [9, 4] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [9, 13, 4] [9, 4] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [9, 13, 4] [9, 4] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [9, 13, 4] [9, 4] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [9, 13, 4] [9, 4] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [9, 13, 4] [9, 4] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [9, 13, 4] [9, 4] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [9, 13, 4] [9, 4] denominator=, [9, 13, 10] [1, 12, 13, 1, 5] [1, 12, 1, 5] ----------------- = ------------- [9, 13, 10] [9, 10] denominator=, [9, 13, 12] [1, 12, 13, 8, 0] [1, 12, 8, 0] ----------------- = ------------- [9, 13, 12] [9, 12] [3, 18, 13, 0, 0] [3, 18, 0, 0] ----------------- = ------------- [9, 13, 12] [9, 12] denominator=, [9, 14, 5] [14, 14, 0] [14, 0] ----------- = ------- [9, 14, 5] [9, 5] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [9, 14, 5] [9, 5] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [9, 14, 5] [9, 5] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [9, 14, 5] [9, 5] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [9, 14, 5] [9, 5] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [9, 14, 5] [9, 5] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [9, 14, 5] [9, 5] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [9, 14, 5] [9, 5] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [9, 14, 5] [9, 5] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [9, 14, 5] [9, 5] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [9, 14, 5] [9, 5] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [9, 14, 5] [9, 5] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [9, 14, 5] [9, 5] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [9, 14, 5] [9, 5] denominator=, [9, 15, 6] [15, 15, 0] [15, 0] ----------- = ------- [9, 15, 6] [9, 6] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [9, 15, 6] [9, 6] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [9, 15, 6] [9, 6] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [9, 15, 6] [9, 6] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [9, 15, 6] [9, 6] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [9, 15, 6] [9, 6] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [9, 15, 6] [9, 6] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [9, 15, 6] [9, 6] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [9, 15, 6] [9, 6] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [9, 15, 6] [9, 6] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [9, 15, 6] [9, 6] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [9, 15, 6] [9, 6] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [9, 15, 6] [9, 6] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [9, 15, 6] [9, 6] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [9, 15, 6] [9, 6] denominator=, [9, 15, 12] [2, 0, 15, 0, 0] [2, 0, 0, 0] ---------------- = ------------ [9, 15, 12] [9, 12] denominator=, [9, 15, 15] [2, 0, 15, 12, 10] [2, 0, 12, 10] ------------------ = -------------- [9, 15, 15] [9, 15] [3, 11, 15, 10, 0] [3, 11, 10, 0] ------------------ = -------------- [9, 15, 15] [9, 15] [6, 13, 15, 5, 0] [6, 13, 5, 0] ----------------- = ------------- [9, 15, 15] [9, 15] [8, 4, 15, 2, 10] [8, 4, 2, 10] ----------------- = ------------- [9, 15, 15] [9, 15] denominator=, [9, 16, 7] [16, 16, 0] [16, 0] ----------- = ------- [9, 16, 7] [9, 7] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [9, 16, 7] [9, 7] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [9, 16, 7] [9, 7] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [9, 16, 7] [9, 7] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [9, 16, 7] [9, 7] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [9, 16, 7] [9, 7] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [9, 16, 7] [9, 7] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [9, 16, 7] [9, 7] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [9, 16, 7] [9, 7] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [9, 16, 7] [9, 7] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [9, 16, 7] [9, 7] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [9, 16, 7] [9, 7] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [9, 16, 7] [9, 7] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [9, 16, 7] [9, 7] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [9, 16, 7] [9, 7] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [9, 16, 7] [9, 7] denominator=, [9, 17, 8] [17, 17, 0] [17, 0] ----------- = ------- [9, 17, 8] [9, 8] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [9, 17, 8] [9, 8] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [9, 17, 8] [9, 8] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [9, 17, 8] [9, 8] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [9, 17, 8] [9, 8] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [9, 17, 8] [9, 8] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [9, 17, 8] [9, 8] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [9, 17, 8] [9, 8] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [9, 17, 8] [9, 8] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [9, 17, 8] [9, 8] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [9, 17, 8] [9, 8] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [9, 17, 8] [9, 8] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [9, 17, 8] [9, 8] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [9, 17, 8] [9, 8] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [9, 17, 8] [9, 8] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [9, 17, 8] [9, 8] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [9, 17, 8] [9, 8] denominator=, [9, 18, 9] [18, 18, 0] [18, 0] ----------- = ------- [9, 18, 9] [9, 9] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [9, 18, 9] [9, 9] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [9, 18, 9] [9, 9] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [9, 18, 9] [9, 9] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [9, 18, 9] [9, 9] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [9, 18, 9] [9, 9] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [9, 18, 9] [9, 9] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [9, 18, 9] [9, 9] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [9, 18, 9] [9, 9] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [9, 18, 9] [9, 9] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [9, 18, 9] [9, 9] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [9, 18, 9] [9, 9] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [9, 18, 9] [9, 9] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [9, 18, 9] [9, 9] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [9, 18, 9] [9, 9] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [9, 18, 9] [9, 9] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [9, 18, 9] [9, 9] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [9, 18, 9] [9, 9] denominator=, [9, 18, 16] [1, 16, 18, 8, 0] [1, 16, 8, 0] ----------------- = ------------- [9, 18, 16] [9, 16] [3, 3, 18, 0, 0] [3, 3, 0, 0] ---------------- = ------------ [9, 18, 16] [9, 16] denominator=, [9, 18, 18] [1, 10, 18, 16, 0] [1, 10, 16, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [2, 11, 18, 14, 0] [2, 11, 14, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [3, 12, 18, 12, 0] [3, 12, 12, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [4, 13, 18, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [9, 18, 18] [9, 18] [5, 14, 18, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [6, 15, 18, 6, 0] [6, 15, 6, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [7, 16, 18, 4, 0] [7, 16, 4, 0] ----------------- = ------------- [9, 18, 18] [9, 18] [8, 17, 18, 2, 0] [8, 17, 2, 0] ----------------- = ------------- [9, 18, 18] [9, 18] denominator=, [10, 2, 0] [4, 2, 1, 5] [4, 1, 5] ------------ = --------- [10, 2, 0] [10, 0] denominator=, [10, 2, 2] [1, 14, 2, 1, 15] [1, 14, 1, 15] ----------------- = -------------- [10, 2, 2] [10, 2] [4, 2, 2, 1, 5] [4, 2, 1, 5] --------------- = ------------ [10, 2, 2] [10, 2] [6, 10, 2, 0, 15] [6, 10, 0, 15] ----------------- = -------------- [10, 2, 2] [10, 2] [8, 18, 2, 0, 5] [8, 18, 0, 5] ---------------- = ------------- [10, 2, 2] [10, 2] denominator=, [10, 5, 4] [1, 3, 5, 2, 8] [1, 3, 2, 8] --------------- = ------------ [10, 5, 4] [10, 4] [1, 16, 5, 0, 16] [1, 16, 0, 16] ----------------- = -------------- [10, 5, 4] [10, 4] denominator=, [10, 6, 3] [3, 6, 5, 5] [3, 5, 5] ------------ = --------- [10, 6, 3] [10, 3] [17, 6, 0, 15] [17, 0, 15] -------------- = ----------- [10, 6, 3] [10, 3] denominator=, [10, 8, 7] [1, 1, 8, 5, 10] [1, 1, 5, 10] ---------------- = ------------- [10, 8, 7] [10, 7] [1, 12, 8, 4, 0] [1, 12, 4, 0] ---------------- = ------------- [10, 8, 7] [10, 7] [2, 3, 8, 2, 10] [2, 3, 2, 10] ---------------- = ------------- [10, 8, 7] [10, 7] [2, 14, 8, 1, 0] [2, 14, 1, 0] ---------------- = ------------- [10, 8, 7] [10, 7] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [15, 10, 0, 18] [15, 0, 18] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 19] [12, 3, 19] --------------- = ----------- [10, 10, 5] [10, 5] [14, 10, 2, 18] [14, 2, 18] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 17] [16, 1, 17] --------------- = ----------- [10, 10, 5] [10, 5] [18, 10, 0, 16] [18, 0, 16] --------------- = ----------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [15, 10, 3, 17] [15, 3, 17] --------------- = ----------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [15, 10, 6, 16] [15, 6, 16] --------------- = ----------- [10, 10, 8] [10, 8] [1, 5, 10, 4, 8] [1, 5, 4, 8] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 15, 10, 2, 0] [1, 15, 2, 0] ----------------- = ------------- [10, 10, 8] [10, 8] denominator=, [10, 11, 1] [11, 11, 0] [11, 0] ----------- = ------- [10, 11, 1] [10, 1] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [10, 11, 1] [10, 1] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [10, 11, 1] [10, 1] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [10, 11, 1] [10, 1] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [10, 11, 1] [10, 1] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [10, 11, 1] [10, 1] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [10, 11, 1] [10, 1] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [10, 11, 1] [10, 1] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [10, 11, 1] [10, 1] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [10, 11, 1] [10, 1] [11, 11, 0, 0] [11, 0, 0] -------------- = ---------- [10, 11, 1] [10, 1] denominator=, [10, 11, 10] [3, 17, 11, 0, 0] [3, 17, 0, 0] ----------------- = ------------- [10, 11, 10] [10, 10] denominator=, [10, 12, 2] [12, 12, 0] [12, 0] ----------- = ------- [10, 12, 2] [10, 2] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [10, 12, 2] [10, 2] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [10, 12, 2] [10, 2] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [10, 12, 2] [10, 2] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [10, 12, 2] [10, 2] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [10, 12, 2] [10, 2] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [10, 12, 2] [10, 2] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [10, 12, 2] [10, 2] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [10, 12, 2] [10, 2] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [10, 12, 2] [10, 2] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [10, 12, 2] [10, 2] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [10, 12, 2] [10, 2] denominator=, [10, 13, 3] [13, 13, 0] [13, 0] ----------- = ------- [10, 13, 3] [10, 3] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [10, 13, 3] [10, 3] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [10, 13, 3] [10, 3] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [10, 13, 3] [10, 3] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [10, 13, 3] [10, 3] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [10, 13, 3] [10, 3] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [10, 13, 3] [10, 3] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [10, 13, 3] [10, 3] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [10, 13, 3] [10, 3] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [10, 13, 3] [10, 3] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [10, 13, 3] [10, 3] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [10, 13, 3] [10, 3] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [10, 13, 3] [10, 3] denominator=, [10, 13, 10] [1, 19, 13, 0, 0] [1, 19, 0, 0] ----------------- = ------------- [10, 13, 10] [10, 10] denominator=, [10, 14, 4] [14, 14, 0] [14, 0] ----------- = ------- [10, 14, 4] [10, 4] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [10, 14, 4] [10, 4] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [10, 14, 4] [10, 4] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [10, 14, 4] [10, 4] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [10, 14, 4] [10, 4] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [10, 14, 4] [10, 4] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [10, 14, 4] [10, 4] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [10, 14, 4] [10, 4] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [10, 14, 4] [10, 4] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [10, 14, 4] [10, 4] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [10, 14, 4] [10, 4] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [10, 14, 4] [10, 4] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [10, 14, 4] [10, 4] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [10, 14, 4] [10, 4] denominator=, [10, 14, 10] [1, 7, 14, 2, 10] [1, 7, 2, 10] ----------------- = ------------- [10, 14, 10] [10, 10] denominator=, [10, 14, 13] [1, 7, 14, 10, 5] [1, 7, 10, 5] ----------------- = ------------- [10, 14, 13] [10, 13] [2, 4, 14, 7, 10] [2, 4, 7, 10] ----------------- = ------------- [10, 14, 13] [10, 13] [3, 18, 14, 2, 0] [3, 18, 2, 0] ----------------- = ------------- [10, 14, 13] [10, 13] denominator=, [10, 15, 5] [15, 15, 0] [15, 0] ----------- = ------- [10, 15, 5] [10, 5] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [10, 15, 5] [10, 5] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [10, 15, 5] [10, 5] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [10, 15, 5] [10, 5] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [10, 15, 5] [10, 5] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [10, 15, 5] [10, 5] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [10, 15, 5] [10, 5] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [10, 15, 5] [10, 5] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [10, 15, 5] [10, 5] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [10, 15, 5] [10, 5] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [10, 15, 5] [10, 5] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [10, 15, 5] [10, 5] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [10, 15, 5] [10, 5] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [10, 15, 5] [10, 5] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [10, 15, 5] [10, 5] denominator=, [10, 16, 6] [16, 16, 0] [16, 0] ----------- = ------- [10, 16, 6] [10, 6] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [10, 16, 6] [10, 6] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [10, 16, 6] [10, 6] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [10, 16, 6] [10, 6] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [10, 16, 6] [10, 6] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [10, 16, 6] [10, 6] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [10, 16, 6] [10, 6] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [10, 16, 6] [10, 6] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [10, 16, 6] [10, 6] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [10, 16, 6] [10, 6] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [10, 16, 6] [10, 6] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [10, 16, 6] [10, 6] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [10, 16, 6] [10, 6] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [10, 16, 6] [10, 6] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [10, 16, 6] [10, 6] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [10, 16, 6] [10, 6] denominator=, [10, 17, 7] [17, 17, 0] [17, 0] ----------- = ------- [10, 17, 7] [10, 7] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [10, 17, 7] [10, 7] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [10, 17, 7] [10, 7] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [10, 17, 7] [10, 7] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [10, 17, 7] [10, 7] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [10, 17, 7] [10, 7] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [10, 17, 7] [10, 7] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [10, 17, 7] [10, 7] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [10, 17, 7] [10, 7] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [10, 17, 7] [10, 7] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [10, 17, 7] [10, 7] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [10, 17, 7] [10, 7] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [10, 17, 7] [10, 7] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [10, 17, 7] [10, 7] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [10, 17, 7] [10, 7] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [10, 17, 7] [10, 7] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [10, 17, 7] [10, 7] denominator=, [10, 17, 16] [1, 13, 17, 12, 0] [1, 13, 12, 0] ------------------ = -------------- [10, 17, 16] [10, 16] [2, 16, 17, 8, 0] [2, 16, 8, 0] ----------------- = ------------- [10, 17, 16] [10, 16] [3, 19, 17, 4, 0] [3, 19, 4, 0] ----------------- = ------------- [10, 17, 16] [10, 16] [5, 2, 17, 0, 0] [5, 2, 0, 0] ---------------- = ------------ [10, 17, 16] [10, 16] denominator=, [10, 18, 8] [18, 18, 0] [18, 0] ----------- = ------- [10, 18, 8] [10, 8] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [10, 18, 8] [10, 8] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [10, 18, 8] [10, 8] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [10, 18, 8] [10, 8] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [10, 18, 8] [10, 8] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [10, 18, 8] [10, 8] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [10, 18, 8] [10, 8] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [10, 18, 8] [10, 8] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [10, 18, 8] [10, 8] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [10, 18, 8] [10, 8] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [10, 18, 8] [10, 8] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [10, 18, 8] [10, 8] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [10, 18, 8] [10, 8] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [10, 18, 8] [10, 8] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [10, 18, 8] [10, 8] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [10, 18, 8] [10, 8] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [10, 18, 8] [10, 8] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [10, 18, 8] [10, 8] denominator=, [10, 18, 12] [1, 3, 18, 3, 15] [1, 3, 3, 15] ----------------- = ------------- [10, 18, 12] [10, 12] denominator=, [10, 18, 14] [1, 16, 18, 2, 5] [1, 16, 2, 5] ----------------- = ------------- [10, 18, 14] [10, 14] denominator=, [10, 18, 16] [1, 3, 18, 12, 10] [1, 3, 12, 10] ------------------ = -------------- [10, 18, 16] [10, 16] [1, 16, 18, 9, 0] [1, 16, 9, 0] ----------------- = ------------- [10, 18, 16] [10, 16] [2, 9, 18, 5, 10] [2, 9, 5, 10] ----------------- = ------------- [10, 18, 16] [10, 16] denominator=, [10, 18, 18] [1, 16, 18, 15, 15] [1, 16, 15, 15] ------------------- = --------------- [10, 18, 18] [10, 18] [4, 8, 18, 11, 5] [4, 8, 11, 5] ----------------- = ------------- [10, 18, 18] [10, 18] [7, 0, 18, 6, 15] [7, 0, 6, 15] ----------------- = ------------- [10, 18, 18] [10, 18] [9, 12, 18, 2, 5] [9, 12, 2, 5] ----------------- = ------------- [10, 18, 18] [10, 18] denominator=, [10, 19, 9] [19, 19, 0] [19, 0] ----------- = ------- [10, 19, 9] [10, 9] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [10, 19, 9] [10, 9] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [10, 19, 9] [10, 9] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [10, 19, 9] [10, 9] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [10, 19, 9] [10, 9] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [10, 19, 9] [10, 9] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [10, 19, 9] [10, 9] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [10, 19, 9] [10, 9] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [10, 19, 9] [10, 9] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [10, 19, 9] [10, 9] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [10, 19, 9] [10, 9] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [10, 19, 9] [10, 9] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [10, 19, 9] [10, 9] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [10, 19, 9] [10, 9] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [10, 19, 9] [10, 9] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [10, 19, 9] [10, 9] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [10, 19, 9] [10, 9] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [10, 19, 9] [10, 9] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [10, 19, 9] [10, 9] denominator=, [11, 7, 2] [2, 7, 6, 5] [2, 6, 5] ------------ = --------- [11, 7, 2] [11, 2] denominator=, [11, 7, 5] [5, 7, 6, 5] [5, 6, 5] ------------ = --------- [11, 7, 5] [11, 5] [17, 7, 3, 15] [17, 3, 15] -------------- = ----------- [11, 7, 5] [11, 5] [1, 3, 7, 2, 10] [1, 3, 2, 10] ---------------- = ------------- [11, 7, 5] [11, 5] [1, 9, 7, 1, 5] [1, 9, 1, 5] --------------- = ------------ [11, 7, 5] [11, 5] [1, 15, 7, 0, 0] [1, 15, 0, 0] ---------------- = ------------- [11, 7, 5] [11, 5] denominator=, [11, 7, 6] [1, 18, 7, 2, 15] [1, 18, 2, 15] ----------------- = -------------- [11, 7, 6] [11, 6] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [11, 12, 1] [12, 12, 0] [12, 0] ----------- = ------- [11, 12, 1] [11, 1] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [11, 12, 1] [11, 1] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [11, 12, 1] [11, 1] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [11, 12, 1] [11, 1] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [11, 12, 1] [11, 1] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [11, 12, 1] [11, 1] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [11, 12, 1] [11, 1] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [11, 12, 1] [11, 1] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [11, 12, 1] [11, 1] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [11, 12, 1] [11, 1] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [11, 12, 1] [11, 1] [12, 12, 0, 0] [12, 0, 0] -------------- = ---------- [11, 12, 1] [11, 1] denominator=, [11, 13, 2] [13, 13, 0] [13, 0] ----------- = ------- [11, 13, 2] [11, 2] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [11, 13, 2] [11, 2] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [11, 13, 2] [11, 2] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [11, 13, 2] [11, 2] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [11, 13, 2] [11, 2] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [11, 13, 2] [11, 2] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [11, 13, 2] [11, 2] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [11, 13, 2] [11, 2] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [11, 13, 2] [11, 2] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [11, 13, 2] [11, 2] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [11, 13, 2] [11, 2] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [11, 13, 2] [11, 2] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [11, 13, 2] [11, 2] denominator=, [11, 13, 11] [2, 8, 13, 2, 10] [2, 8, 2, 10] ----------------- = ------------- [11, 13, 11] [11, 11] denominator=, [11, 14, 3] [14, 14, 0] [14, 0] ----------- = ------- [11, 14, 3] [11, 3] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [11, 14, 3] [11, 3] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [11, 14, 3] [11, 3] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [11, 14, 3] [11, 3] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [11, 14, 3] [11, 3] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [11, 14, 3] [11, 3] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [11, 14, 3] [11, 3] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [11, 14, 3] [11, 3] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [11, 14, 3] [11, 3] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [11, 14, 3] [11, 3] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [11, 14, 3] [11, 3] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [11, 14, 3] [11, 3] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [11, 14, 3] [11, 3] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [11, 14, 3] [11, 3] denominator=, [11, 15, 4] [15, 15, 0] [15, 0] ----------- = ------- [11, 15, 4] [11, 4] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [11, 15, 4] [11, 4] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [11, 15, 4] [11, 4] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [11, 15, 4] [11, 4] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [11, 15, 4] [11, 4] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [11, 15, 4] [11, 4] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [11, 15, 4] [11, 4] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [11, 15, 4] [11, 4] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [11, 15, 4] [11, 4] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [11, 15, 4] [11, 4] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [11, 15, 4] [11, 4] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [11, 15, 4] [11, 4] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [11, 15, 4] [11, 4] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [11, 15, 4] [11, 4] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [11, 15, 4] [11, 4] denominator=, [11, 15, 11] [3, 15, 14, 5] [3, 14, 5] -------------- = ---------- [11, 15, 11] [11, 11] [19, 15, 7, 15] [19, 7, 15] --------------- = ----------- [11, 15, 11] [11, 11] [1, 7, 15, 4, 10] [1, 7, 4, 10] ----------------- = ------------- [11, 15, 11] [11, 11] [1, 15, 15, 1, 5] [1, 15, 1, 5] ----------------- = ------------- [11, 15, 11] [11, 11] denominator=, [11, 15, 12] [4, 15, 14, 5] [4, 14, 5] -------------- = ---------- [11, 15, 12] [11, 12] [18, 15, 9, 15] [18, 9, 15] --------------- = ----------- [11, 15, 12] [11, 12] [1, 5, 15, 7, 10] [1, 5, 7, 10] ----------------- = ------------- [11, 15, 12] [11, 12] [1, 12, 15, 5, 5] [1, 12, 5, 5] ----------------- = ------------- [11, 15, 12] [11, 12] [1, 19, 15, 3, 0] [1, 19, 3, 0] ----------------- = ------------- [11, 15, 12] [11, 12] [2, 6, 15, 0, 15] [2, 6, 0, 15] ----------------- = ------------- [11, 15, 12] [11, 12] denominator=, [11, 15, 14] [1, 19, 15, 9, 15] [1, 19, 9, 15] ------------------ = -------------- [11, 15, 14] [11, 14] [4, 15, 15, 1, 5] [4, 15, 1, 5] ----------------- = ------------- [11, 15, 14] [11, 14] denominator=, [11, 16, 0] [2, 16, 12, 16] [2, 12, 16] --------------- = ----------- [11, 16, 0] [11, 0] denominator=, [11, 16, 5] [16, 16, 0] [16, 0] ----------- = ------- [11, 16, 5] [11, 5] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [11, 16, 5] [11, 5] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [11, 16, 5] [11, 5] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [11, 16, 5] [11, 5] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [11, 16, 5] [11, 5] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [11, 16, 5] [11, 5] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [11, 16, 5] [11, 5] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [11, 16, 5] [11, 5] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [11, 16, 5] [11, 5] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [11, 16, 5] [11, 5] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [11, 16, 5] [11, 5] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [11, 16, 5] [11, 5] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [11, 16, 5] [11, 5] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [11, 16, 5] [11, 5] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [11, 16, 5] [11, 5] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [11, 16, 5] [11, 5] denominator=, [11, 16, 10] [2, 16, 15, 4] [2, 15, 4] -------------- = ---------- [11, 16, 10] [11, 10] [1, 0, 16, 4, 16] [1, 0, 4, 16] ----------------- = ------------- [11, 16, 10] [11, 10] denominator=, [11, 16, 11] [1, 6, 16, 3, 12] [1, 6, 3, 12] ----------------- = ------------- [11, 16, 11] [11, 11] denominator=, [11, 16, 14] [1, 16, 16, 8] [1, 16, 8] -------------- = ---------- [11, 16, 14] [11, 14] [6, 16, 15, 4] [6, 15, 4] -------------- = ---------- [11, 16, 14] [11, 14] [16, 16, 12, 16] [16, 12, 16] ---------------- = ------------ [11, 16, 14] [11, 14] [1, 1, 16, 11, 12] [1, 1, 11, 12] ------------------ = -------------- [11, 16, 14] [11, 14] [1, 6, 16, 10, 8] [1, 6, 10, 8] ----------------- = ------------- [11, 16, 14] [11, 14] [1, 11, 16, 9, 4] [1, 11, 9, 4] ----------------- = ------------- [11, 16, 14] [11, 14] [1, 16, 16, 8, 0] [1, 16, 8, 0] ----------------- = ------------- [11, 16, 14] [11, 14] [2, 1, 16, 6, 16] [2, 1, 6, 16] ----------------- = ------------- [11, 16, 14] [11, 14] [2, 6, 16, 5, 12] [2, 6, 5, 12] ----------------- = ------------- [11, 16, 14] [11, 14] [2, 11, 16, 4, 8] [2, 11, 4, 8] ----------------- = ------------- [11, 16, 14] [11, 14] [3, 1, 16, 2, 0] [3, 1, 2, 0] ---------------- = ------------ [11, 16, 14] [11, 14] [3, 6, 16, 0, 16] [3, 6, 0, 16] ----------------- = ------------- [11, 16, 14] [11, 14] denominator=, [11, 16, 15] [2, 16, 16, 8] [2, 16, 8] -------------- = ---------- [11, 16, 15] [11, 15] [1, 0, 16, 13, 12] [1, 0, 13, 12] ------------------ = -------------- [11, 16, 15] [11, 15] [1, 9, 16, 12, 4] [1, 9, 12, 4] ----------------- = ------------- [11, 16, 15] [11, 15] [1, 18, 16, 10, 16] [1, 18, 10, 16] ------------------- = --------------- [11, 16, 15] [11, 15] [2, 7, 16, 9, 8] [2, 7, 9, 8] ---------------- = ------------ [11, 16, 15] [11, 15] [3, 5, 16, 6, 12] [3, 5, 6, 12] ----------------- = ------------- [11, 16, 15] [11, 15] [3, 14, 16, 5, 4] [3, 14, 5, 4] ----------------- = ------------- [11, 16, 15] [11, 15] [4, 3, 16, 3, 16] [4, 3, 3, 16] ----------------- = ------------- [11, 16, 15] [11, 15] [4, 12, 16, 2, 8] [4, 12, 2, 8] ----------------- = ------------- [11, 16, 15] [11, 15] denominator=, [11, 17, 6] [17, 17, 0] [17, 0] ----------- = ------- [11, 17, 6] [11, 6] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [11, 17, 6] [11, 6] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [11, 17, 6] [11, 6] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [11, 17, 6] [11, 6] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [11, 17, 6] [11, 6] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [11, 17, 6] [11, 6] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [11, 17, 6] [11, 6] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [11, 17, 6] [11, 6] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [11, 17, 6] [11, 6] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [11, 17, 6] [11, 6] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [11, 17, 6] [11, 6] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [11, 17, 6] [11, 6] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [11, 17, 6] [11, 6] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [11, 17, 6] [11, 6] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [11, 17, 6] [11, 6] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [11, 17, 6] [11, 6] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [11, 17, 6] [11, 6] denominator=, [11, 18, 7] [18, 18, 0] [18, 0] ----------- = ------- [11, 18, 7] [11, 7] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [11, 18, 7] [11, 7] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [11, 18, 7] [11, 7] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [11, 18, 7] [11, 7] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [11, 18, 7] [11, 7] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [11, 18, 7] [11, 7] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [11, 18, 7] [11, 7] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [11, 18, 7] [11, 7] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [11, 18, 7] [11, 7] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [11, 18, 7] [11, 7] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [11, 18, 7] [11, 7] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [11, 18, 7] [11, 7] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [11, 18, 7] [11, 7] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [11, 18, 7] [11, 7] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [11, 18, 7] [11, 7] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [11, 18, 7] [11, 7] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [11, 18, 7] [11, 7] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [11, 18, 7] [11, 7] denominator=, [11, 19, 2] [19, 18, 10] [18, 10] ------------ = -------- [11, 19, 2] [11, 2] [1, 19, 17, 0] [1, 17, 0] -------------- = ---------- [11, 19, 2] [11, 2] [3, 19, 14, 0] [3, 14, 0] -------------- = ---------- [11, 19, 2] [11, 2] [4, 19, 12, 10] [4, 12, 10] --------------- = ----------- [11, 19, 2] [11, 2] [6, 19, 9, 10] [6, 9, 10] -------------- = ---------- [11, 19, 2] [11, 2] [7, 19, 8, 0] [7, 8, 0] ------------- = --------- [11, 19, 2] [11, 2] [9, 19, 5, 0] [9, 5, 0] ------------- = --------- [11, 19, 2] [11, 2] [10, 19, 3, 10] [10, 3, 10] --------------- = ----------- [11, 19, 2] [11, 2] [12, 19, 0, 10] [12, 0, 10] --------------- = ----------- [11, 19, 2] [11, 2] denominator=, [11, 19, 5] [19, 18, 15] [18, 15] ------------ = -------- [11, 19, 5] [11, 5] [1, 19, 17, 10] [1, 17, 10] --------------- = ----------- [11, 19, 5] [11, 5] [3, 19, 15, 0] [3, 15, 0] -------------- = ---------- [11, 19, 5] [11, 5] [4, 19, 13, 15] [4, 13, 15] --------------- = ----------- [11, 19, 5] [11, 5] [6, 19, 11, 5] [6, 11, 5] -------------- = ---------- [11, 19, 5] [11, 5] [7, 19, 10, 0] [7, 10, 0] -------------- = ---------- [11, 19, 5] [11, 5] [9, 19, 7, 10] [9, 7, 10] -------------- = ---------- [11, 19, 5] [11, 5] [10, 19, 6, 5] [10, 6, 5] -------------- = ---------- [11, 19, 5] [11, 5] [12, 19, 3, 15] [12, 3, 15] --------------- = ----------- [11, 19, 5] [11, 5] [13, 19, 2, 10] [13, 2, 10] --------------- = ----------- [11, 19, 5] [11, 5] [15, 19, 0, 0] [15, 0, 0] -------------- = ---------- [11, 19, 5] [11, 5] denominator=, [11, 19, 8] [19, 19, 0] [19, 0] ----------- = ------- [11, 19, 8] [11, 8] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [11, 19, 8] [11, 8] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [11, 19, 8] [11, 8] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [11, 19, 8] [11, 8] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [11, 19, 8] [11, 8] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [11, 19, 8] [11, 8] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [11, 19, 8] [11, 8] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [11, 19, 8] [11, 8] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [11, 19, 8] [11, 8] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [11, 19, 8] [11, 8] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [11, 19, 8] [11, 8] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [11, 19, 8] [11, 8] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [11, 19, 8] [11, 8] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [11, 19, 8] [11, 8] denominator=, [11, 19, 11] [19, 19, 5] [19, 5] ------------ = -------- [11, 19, 11] [11, 11] [1, 19, 18, 10] [1, 18, 10] --------------- = ----------- [11, 19, 11] [11, 11] [3, 19, 17, 0] [3, 17, 0] -------------- = ---------- [11, 19, 11] [11, 11] [4, 19, 16, 5] [4, 16, 5] -------------- = ---------- [11, 19, 11] [11, 11] [6, 19, 14, 15] [6, 14, 15] --------------- = ----------- [11, 19, 11] [11, 11] [7, 19, 14, 0] [7, 14, 0] -------------- = ---------- [11, 19, 11] [11, 11] [9, 19, 12, 10] [9, 12, 10] --------------- = ----------- [11, 19, 11] [11, 11] [10, 19, 11, 15] [10, 11, 15] ---------------- = ------------ [11, 19, 11] [11, 11] [12, 19, 10, 5] [12, 10, 5] --------------- = ----------- [11, 19, 11] [11, 11] [13, 19, 9, 10] [13, 9, 10] --------------- = ----------- [11, 19, 11] [11, 11] [15, 19, 8, 0] [15, 8, 0] -------------- = ---------- [11, 19, 11] [11, 11] [16, 19, 7, 5] [16, 7, 5] -------------- = ---------- [11, 19, 11] [11, 11] [18, 19, 5, 15] [18, 5, 15] --------------- = ----------- [11, 19, 11] [11, 11] [19, 19, 5, 0] [19, 5, 0] -------------- = ---------- [11, 19, 11] [11, 11] [1, 1, 19, 3, 10] [1, 1, 3, 10] ----------------- = ------------- [11, 19, 11] [11, 11] [1, 2, 19, 2, 15] [1, 2, 2, 15] ----------------- = ------------- [11, 19, 11] [11, 11] [1, 4, 19, 1, 5] [1, 4, 1, 5] ---------------- = ------------ [11, 19, 11] [11, 11] [1, 5, 19, 0, 10] [1, 5, 0, 10] ----------------- = ------------- [11, 19, 11] [11, 11] denominator=, [11, 19, 14] [19, 19, 10] [19, 10] ------------ = -------- [11, 19, 14] [11, 14] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [11, 19, 14] [11, 14] [3, 19, 18, 0] [3, 18, 0] -------------- = ---------- [11, 19, 14] [11, 14] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [11, 19, 14] [11, 14] [6, 19, 16, 10] [6, 16, 10] --------------- = ----------- [11, 19, 14] [11, 14] [7, 19, 16, 0] [7, 16, 0] -------------- = ---------- [11, 19, 14] [11, 14] [9, 19, 15, 0] [9, 15, 0] -------------- = ---------- [11, 19, 14] [11, 14] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [11, 19, 14] [11, 14] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [11, 19, 14] [11, 14] [13, 19, 13, 0] [13, 13, 0] --------------- = ----------- [11, 19, 14] [11, 14] [15, 19, 12, 0] [15, 12, 0] --------------- = ----------- [11, 19, 14] [11, 14] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [11, 19, 14] [11, 14] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [11, 19, 14] [11, 14] [19, 19, 10, 0] [19, 10, 0] --------------- = ----------- [11, 19, 14] [11, 14] [1, 1, 19, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [11, 19, 14] [11, 14] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 5, 19, 7, 0] [1, 5, 7, 0] ---------------- = ------------ [11, 19, 14] [11, 14] [1, 7, 19, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [11, 19, 14] [11, 14] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [11, 19, 14] [11, 14] [1, 11, 19, 4, 0] [1, 11, 4, 0] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 13, 19, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 14, 19, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [11, 19, 14] [11, 14] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [11, 19, 14] [11, 14] [1, 17, 19, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [11, 19, 14] [11, 14] [1, 19, 19, 0, 0] [1, 19, 0, 0] ----------------- = ------------- [11, 19, 14] [11, 14] denominator=, [11, 19, 17] [19, 19, 15] [19, 15] ------------ = -------- [11, 19, 17] [11, 17] [1, 19, 19, 10] [1, 19, 10] --------------- = ----------- [11, 19, 17] [11, 17] [3, 19, 19, 0] [3, 19, 0] -------------- = ---------- [11, 19, 17] [11, 17] [4, 19, 18, 15] [4, 18, 15] --------------- = ----------- [11, 19, 17] [11, 17] [6, 19, 18, 5] [6, 18, 5] -------------- = ---------- [11, 19, 17] [11, 17] [7, 19, 18, 0] [7, 18, 0] -------------- = ---------- [11, 19, 17] [11, 17] [9, 19, 17, 10] [9, 17, 10] --------------- = ----------- [11, 19, 17] [11, 17] [10, 19, 17, 5] [10, 17, 5] --------------- = ----------- [11, 19, 17] [11, 17] [12, 19, 16, 15] [12, 16, 15] ---------------- = ------------ [11, 19, 17] [11, 17] [13, 19, 16, 10] [13, 16, 10] ---------------- = ------------ [11, 19, 17] [11, 17] [15, 19, 16, 0] [15, 16, 0] --------------- = ----------- [11, 19, 17] [11, 17] [16, 19, 15, 15] [16, 15, 15] ---------------- = ------------ [11, 19, 17] [11, 17] [18, 19, 15, 5] [18, 15, 5] --------------- = ----------- [11, 19, 17] [11, 17] [19, 19, 15, 0] [19, 15, 0] --------------- = ----------- [11, 19, 17] [11, 17] [1, 1, 19, 14, 10] [1, 1, 14, 10] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 2, 19, 14, 5] [1, 2, 14, 5] ----------------- = ------------- [11, 19, 17] [11, 17] [1, 4, 19, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 5, 19, 13, 10] [1, 5, 13, 10] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 7, 19, 13, 0] [1, 7, 13, 0] ----------------- = ------------- [11, 19, 17] [11, 17] [1, 8, 19, 12, 15] [1, 8, 12, 15] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 10, 19, 12, 5] [1, 10, 12, 5] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 11, 19, 12, 0] [1, 11, 12, 0] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 13, 19, 11, 10] [1, 13, 11, 10] ------------------- = --------------- [11, 19, 17] [11, 17] [1, 14, 19, 11, 5] [1, 14, 11, 5] ------------------ = -------------- [11, 19, 17] [11, 17] [1, 16, 19, 10, 15] [1, 16, 10, 15] ------------------- = --------------- [11, 19, 17] [11, 17] [1, 17, 19, 10, 10] [1, 17, 10, 10] ------------------- = --------------- [11, 19, 17] [11, 17] [1, 19, 19, 10, 0] [1, 19, 10, 0] ------------------ = -------------- [11, 19, 17] [11, 17] [2, 0, 19, 9, 15] [2, 0, 9, 15] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 2, 19, 9, 5] [2, 2, 9, 5] ---------------- = ------------ [11, 19, 17] [11, 17] [2, 3, 19, 9, 0] [2, 3, 9, 0] ---------------- = ------------ [11, 19, 17] [11, 17] [2, 5, 19, 8, 10] [2, 5, 8, 10] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 6, 19, 8, 5] [2, 6, 8, 5] ---------------- = ------------ [11, 19, 17] [11, 17] [2, 8, 19, 7, 15] [2, 8, 7, 15] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 9, 19, 7, 10] [2, 9, 7, 10] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 11, 19, 7, 0] [2, 11, 7, 0] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 12, 19, 6, 15] [2, 12, 6, 15] ------------------ = -------------- [11, 19, 17] [11, 17] [2, 14, 19, 6, 5] [2, 14, 6, 5] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 15, 19, 6, 0] [2, 15, 6, 0] ----------------- = ------------- [11, 19, 17] [11, 17] [2, 17, 19, 5, 10] [2, 17, 5, 10] ------------------ = -------------- [11, 19, 17] [11, 17] [2, 18, 19, 5, 5] [2, 18, 5, 5] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 0, 19, 4, 15] [3, 0, 4, 15] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 1, 19, 4, 10] [3, 1, 4, 10] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 3, 19, 4, 0] [3, 3, 4, 0] ---------------- = ------------ [11, 19, 17] [11, 17] [3, 4, 19, 3, 15] [3, 4, 3, 15] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 6, 19, 3, 5] [3, 6, 3, 5] ---------------- = ------------ [11, 19, 17] [11, 17] [3, 7, 19, 3, 0] [3, 7, 3, 0] ---------------- = ------------ [11, 19, 17] [11, 17] [3, 9, 19, 2, 10] [3, 9, 2, 10] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 10, 19, 2, 5] [3, 10, 2, 5] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 12, 19, 1, 15] [3, 12, 1, 15] ------------------ = -------------- [11, 19, 17] [11, 17] [3, 13, 19, 1, 10] [3, 13, 1, 10] ------------------ = -------------- [11, 19, 17] [11, 17] [3, 15, 19, 1, 0] [3, 15, 1, 0] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 16, 19, 0, 15] [3, 16, 0, 15] ------------------ = -------------- [11, 19, 17] [11, 17] [3, 18, 19, 0, 5] [3, 18, 0, 5] ----------------- = ------------- [11, 19, 17] [11, 17] [3, 19, 19, 0, 0] [3, 19, 0, 0] ----------------- = ------------- [11, 19, 17] [11, 17] denominator=, [12, 3, 2] [1, 13, 3, 0, 0] [1, 13, 0, 0] ---------------- = ------------- [12, 3, 2] [12, 2] denominator=, [12, 3, 3] [4, 9, 3, 2, 0] [4, 9, 2, 0] --------------- = ------------ [12, 3, 3] [12, 3] [8, 6, 3, 1, 0] [8, 6, 1, 0] --------------- = ------------ [12, 3, 3] [12, 3] denominator=, [12, 4, 4] [2, 1, 4, 3, 10] [2, 1, 3, 10] ---------------- = ------------- [12, 4, 4] [12, 4] [4, 19, 4, 2, 10] [4, 19, 2, 10] ----------------- = -------------- [12, 4, 4] [12, 4] [7, 17, 4, 1, 10] [7, 17, 1, 10] ----------------- = -------------- [12, 4, 4] [12, 4] [10, 15, 4, 0, 10] [10, 15, 0, 10] ------------------ = --------------- [12, 4, 4] [12, 4] denominator=, [12, 6, 6] [2, 11, 6, 5, 0] [2, 11, 5, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [4, 10, 6, 4, 0] [4, 10, 4, 0] ---------------- = ------------- [12, 6, 6] [12, 6] [8, 8, 6, 2, 0] [8, 8, 2, 0] --------------- = ------------ [12, 6, 6] [12, 6] [10, 7, 6, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [12, 6, 6] [12, 6] denominator=, [12, 9, 9] [4, 11, 9, 6, 0] [4, 11, 6, 0] ---------------- = ------------- [12, 9, 9] [12, 9] [8, 10, 9, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [12, 9, 9] [12, 9] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [15, 12, 1, 19] [15, 1, 19] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 19] [14, 4, 19] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 18] [16, 3, 18] --------------- = ----------- [12, 12, 6] [12, 6] [18, 12, 2, 17] [18, 2, 17] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 1, 16] [1, 0, 1, 16] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 0, 15] [1, 2, 0, 15] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [15, 12, 6, 18] [15, 6, 18] --------------- = ----------- [12, 12, 8] [12, 8] [18, 12, 5, 16] [18, 5, 16] --------------- = ----------- [12, 12, 8] [12, 8] [1, 1, 12, 4, 14] [1, 1, 4, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 7, 12, 2, 10] [1, 7, 2, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 10, 12, 1, 8] [1, 10, 1, 8] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 13, 12, 0, 6] [1, 13, 0, 6] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 17] [16, 7, 17] --------------- = ----------- [12, 12, 9] [12, 9] [1, 0, 12, 6, 14] [1, 0, 6, 14] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 8, 12, 4, 8] [1, 8, 4, 8] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 12, 12, 3, 5] [1, 12, 3, 5] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 0, 12, 0, 19] [2, 0, 0, 19] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [18, 12, 8, 15] [18, 8, 15] --------------- = ----------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 5] [1, 10, 6, 5] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 2, 12, 3, 15] [2, 2, 3, 15] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 14, 12, 1, 5] [2, 14, 1, 5] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [12, 13, 1] [13, 13, 0] [13, 0] ----------- = ------- [12, 13, 1] [12, 1] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [12, 13, 1] [12, 1] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [12, 13, 1] [12, 1] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [12, 13, 1] [12, 1] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [12, 13, 1] [12, 1] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [12, 13, 1] [12, 1] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [12, 13, 1] [12, 1] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [12, 13, 1] [12, 1] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [12, 13, 1] [12, 1] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [12, 13, 1] [12, 1] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [12, 13, 1] [12, 1] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [12, 13, 1] [12, 1] [13, 13, 0, 0] [13, 0, 0] -------------- = ---------- [12, 13, 1] [12, 1] denominator=, [12, 14, 2] [14, 14, 0] [14, 0] ----------- = ------- [12, 14, 2] [12, 2] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [12, 14, 2] [12, 2] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [12, 14, 2] [12, 2] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [12, 14, 2] [12, 2] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [12, 14, 2] [12, 2] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [12, 14, 2] [12, 2] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [12, 14, 2] [12, 2] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [12, 14, 2] [12, 2] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [12, 14, 2] [12, 2] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [12, 14, 2] [12, 2] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [12, 14, 2] [12, 2] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [12, 14, 2] [12, 2] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [12, 14, 2] [12, 2] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [12, 14, 2] [12, 2] denominator=, [12, 14, 13] [1, 14, 14, 10] [1, 14, 10] --------------- = ----------- [12, 14, 13] [12, 13] [1, 3, 14, 11, 10] [1, 3, 11, 10] ------------------ = -------------- [12, 14, 13] [12, 13] [1, 14, 14, 10, 0] [1, 14, 10, 0] ------------------ = -------------- [12, 14, 13] [12, 13] [2, 5, 14, 8, 10] [2, 5, 8, 10] ----------------- = ------------- [12, 14, 13] [12, 13] [2, 16, 14, 7, 0] [2, 16, 7, 0] ----------------- = ------------- [12, 14, 13] [12, 13] [3, 7, 14, 5, 10] [3, 7, 5, 10] ----------------- = ------------- [12, 14, 13] [12, 13] [3, 18, 14, 4, 0] [3, 18, 4, 0] ----------------- = ------------- [12, 14, 13] [12, 13] [4, 9, 14, 2, 10] [4, 9, 2, 10] ----------------- = ------------- [12, 14, 13] [12, 13] [5, 0, 14, 1, 0] [5, 0, 1, 0] ---------------- = ------------ [12, 14, 13] [12, 13] denominator=, [12, 15, 3] [15, 15, 0] [15, 0] ----------- = ------- [12, 15, 3] [12, 3] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [12, 15, 3] [12, 3] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [12, 15, 3] [12, 3] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [12, 15, 3] [12, 3] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [12, 15, 3] [12, 3] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [12, 15, 3] [12, 3] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [12, 15, 3] [12, 3] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [12, 15, 3] [12, 3] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [12, 15, 3] [12, 3] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [12, 15, 3] [12, 3] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [12, 15, 3] [12, 3] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [12, 15, 3] [12, 3] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [12, 15, 3] [12, 3] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [12, 15, 3] [12, 3] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [12, 15, 3] [12, 3] denominator=, [12, 15, 12] [1, 19, 15, 4, 0] [1, 19, 4, 0] ----------------- = ------------- [12, 15, 12] [12, 12] denominator=, [12, 15, 15] [4, 13, 15, 10, 0] [4, 13, 10, 0] ------------------ = -------------- [12, 15, 15] [12, 15] [8, 14, 15, 5, 0] [8, 14, 5, 0] ----------------- = ------------- [12, 15, 15] [12, 15] denominator=, [12, 16, 4] [16, 16, 0] [16, 0] ----------- = ------- [12, 16, 4] [12, 4] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [12, 16, 4] [12, 4] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [12, 16, 4] [12, 4] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [12, 16, 4] [12, 4] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [12, 16, 4] [12, 4] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [12, 16, 4] [12, 4] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [12, 16, 4] [12, 4] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [12, 16, 4] [12, 4] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [12, 16, 4] [12, 4] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [12, 16, 4] [12, 4] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [12, 16, 4] [12, 4] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [12, 16, 4] [12, 4] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [12, 16, 4] [12, 4] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [12, 16, 4] [12, 4] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [12, 16, 4] [12, 4] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [12, 16, 4] [12, 4] denominator=, [12, 17, 5] [17, 17, 0] [17, 0] ----------- = ------- [12, 17, 5] [12, 5] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [12, 17, 5] [12, 5] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [12, 17, 5] [12, 5] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [12, 17, 5] [12, 5] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [12, 17, 5] [12, 5] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [12, 17, 5] [12, 5] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [12, 17, 5] [12, 5] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [12, 17, 5] [12, 5] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [12, 17, 5] [12, 5] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [12, 17, 5] [12, 5] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [12, 17, 5] [12, 5] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [12, 17, 5] [12, 5] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [12, 17, 5] [12, 5] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [12, 17, 5] [12, 5] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [12, 17, 5] [12, 5] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [12, 17, 5] [12, 5] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [12, 17, 5] [12, 5] denominator=, [12, 17, 12] [5, 17, 15, 4] [5, 15, 4] -------------- = ---------- [12, 17, 12] [12, 12] [19, 17, 8, 16] [19, 8, 16] --------------- = ----------- [12, 17, 12] [12, 12] [1, 6, 17, 5, 12] [1, 6, 5, 12] ----------------- = ------------- [12, 17, 12] [12, 12] [1, 13, 17, 2, 8] [1, 13, 2, 8] ----------------- = ------------- [12, 17, 12] [12, 12] denominator=, [12, 18, 6] [18, 18, 0] [18, 0] ----------- = ------- [12, 18, 6] [12, 6] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [12, 18, 6] [12, 6] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [12, 18, 6] [12, 6] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [12, 18, 6] [12, 6] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [12, 18, 6] [12, 6] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [12, 18, 6] [12, 6] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [12, 18, 6] [12, 6] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [12, 18, 6] [12, 6] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [12, 18, 6] [12, 6] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [12, 18, 6] [12, 6] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [12, 18, 6] [12, 6] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [12, 18, 6] [12, 6] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [12, 18, 6] [12, 6] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [12, 18, 6] [12, 6] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [12, 18, 6] [12, 6] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [12, 18, 6] [12, 6] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [12, 18, 6] [12, 6] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [12, 18, 6] [12, 6] denominator=, [12, 18, 15] [2, 13, 18, 2, 10] [2, 13, 2, 10] ------------------ = -------------- [12, 18, 15] [12, 15] denominator=, [12, 18, 18] [2, 13, 18, 15, 0] [2, 13, 15, 0] ------------------ = -------------- [12, 18, 18] [12, 18] [4, 14, 18, 12, 0] [4, 14, 12, 0] ------------------ = -------------- [12, 18, 18] [12, 18] [8, 16, 18, 6, 0] [8, 16, 6, 0] ----------------- = ------------- [12, 18, 18] [12, 18] [10, 17, 18, 3, 0] [10, 17, 3, 0] ------------------ = -------------- [12, 18, 18] [12, 18] denominator=, [12, 19, 7] [19, 19, 0] [19, 0] ----------- = ------- [12, 19, 7] [12, 7] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [12, 19, 7] [12, 7] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [12, 19, 7] [12, 7] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [12, 19, 7] [12, 7] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [12, 19, 7] [12, 7] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [12, 19, 7] [12, 7] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [12, 19, 7] [12, 7] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [12, 19, 7] [12, 7] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [12, 19, 7] [12, 7] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [12, 19, 7] [12, 7] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [12, 19, 7] [12, 7] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [12, 19, 7] [12, 7] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [12, 19, 7] [12, 7] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [12, 19, 7] [12, 7] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [12, 19, 7] [12, 7] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [12, 19, 7] [12, 7] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [12, 19, 7] [12, 7] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [12, 19, 7] [12, 7] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [12, 19, 7] [12, 7] denominator=, [13, 3, 0] [3, 3, 2, 8] [3, 2, 8] ------------ = --------- [13, 3, 0] [13, 0] [8, 3, 1, 4] [8, 1, 4] ------------ = --------- [13, 3, 0] [13, 0] denominator=, [13, 5, 1] [6, 5, 3, 5] [6, 3, 5] ------------ = --------- [13, 5, 1] [13, 1] denominator=, [13, 5, 4] [1, 14, 5, 2, 0] [1, 14, 2, 0] ---------------- = ------------- [13, 5, 4] [13, 4] [2, 15, 5, 0, 0] [2, 15, 0, 0] ---------------- = ------------- [13, 5, 4] [13, 4] denominator=, [13, 6, 4] [1, 16, 6, 0, 0] [1, 16, 0, 0] ---------------- = ------------- [13, 6, 4] [13, 4] denominator=, [13, 8, 7] [1, 10, 8, 5, 4] [1, 10, 5, 4] ---------------- = ------------- [13, 8, 7] [13, 7] [2, 7, 8, 3, 8] [2, 7, 3, 8] --------------- = ------------ [13, 8, 7] [13, 7] denominator=, [13, 9, 4] [5, 9, 7, 5] [5, 7, 5] ------------ = --------- [13, 9, 4] [13, 4] [1, 1, 9, 0, 15] [1, 1, 0, 15] ---------------- = ------------- [13, 9, 4] [13, 4] denominator=, [13, 9, 8] [1, 9, 9, 6, 5] [1, 9, 6, 5] --------------- = ------------ [13, 9, 8] [13, 8] [2, 5, 9, 4, 10] [2, 5, 4, 10] ---------------- = ------------- [13, 9, 8] [13, 8] [3, 1, 9, 2, 15] [3, 1, 2, 15] ---------------- = ------------- [13, 9, 8] [13, 8] denominator=, [13, 11, 10] [2, 16, 11, 5, 0] [2, 16, 5, 0] ----------------- = ------------- [13, 11, 10] [13, 10] [4, 19, 11, 0, 0] [4, 19, 0, 0] ----------------- = ------------- [13, 11, 10] [13, 10] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [13, 14, 1] [14, 14, 0] [14, 0] ----------- = ------- [13, 14, 1] [13, 1] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [13, 14, 1] [13, 1] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [13, 14, 1] [13, 1] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [13, 14, 1] [13, 1] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [13, 14, 1] [13, 1] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [13, 14, 1] [13, 1] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [13, 14, 1] [13, 1] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [13, 14, 1] [13, 1] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [13, 14, 1] [13, 1] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [13, 14, 1] [13, 1] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [13, 14, 1] [13, 1] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [13, 14, 1] [13, 1] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [13, 14, 1] [13, 1] [14, 14, 0, 0] [14, 0, 0] -------------- = ---------- [13, 14, 1] [13, 1] denominator=, [13, 14, 10] [2, 2, 14, 0, 0] [2, 2, 0, 0] ---------------- = ------------ [13, 14, 10] [13, 10] denominator=, [13, 14, 13] [5, 0, 14, 2, 0] [5, 0, 2, 0] ---------------- = ------------ [13, 14, 13] [13, 13] denominator=, [13, 15, 2] [15, 15, 0] [15, 0] ----------- = ------- [13, 15, 2] [13, 2] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [13, 15, 2] [13, 2] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [13, 15, 2] [13, 2] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [13, 15, 2] [13, 2] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [13, 15, 2] [13, 2] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [13, 15, 2] [13, 2] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [13, 15, 2] [13, 2] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [13, 15, 2] [13, 2] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [13, 15, 2] [13, 2] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [13, 15, 2] [13, 2] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [13, 15, 2] [13, 2] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [13, 15, 2] [13, 2] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [13, 15, 2] [13, 2] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [13, 15, 2] [13, 2] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [13, 15, 2] [13, 2] denominator=, [13, 16, 3] [16, 16, 0] [16, 0] ----------- = ------- [13, 16, 3] [13, 3] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [13, 16, 3] [13, 3] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [13, 16, 3] [13, 3] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [13, 16, 3] [13, 3] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [13, 16, 3] [13, 3] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [13, 16, 3] [13, 3] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [13, 16, 3] [13, 3] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [13, 16, 3] [13, 3] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [13, 16, 3] [13, 3] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [13, 16, 3] [13, 3] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [13, 16, 3] [13, 3] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [13, 16, 3] [13, 3] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [13, 16, 3] [13, 3] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [13, 16, 3] [13, 3] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [13, 16, 3] [13, 3] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [13, 16, 3] [13, 3] denominator=, [13, 17, 4] [17, 17, 0] [17, 0] ----------- = ------- [13, 17, 4] [13, 4] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [13, 17, 4] [13, 4] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [13, 17, 4] [13, 4] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [13, 17, 4] [13, 4] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [13, 17, 4] [13, 4] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [13, 17, 4] [13, 4] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [13, 17, 4] [13, 4] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [13, 17, 4] [13, 4] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [13, 17, 4] [13, 4] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [13, 17, 4] [13, 4] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [13, 17, 4] [13, 4] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [13, 17, 4] [13, 4] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [13, 17, 4] [13, 4] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [13, 17, 4] [13, 4] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [13, 17, 4] [13, 4] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [13, 17, 4] [13, 4] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [13, 17, 4] [13, 4] denominator=, [13, 17, 10] [2, 17, 16, 5] [2, 16, 5] -------------- = ---------- [13, 17, 10] [13, 10] [1, 4, 17, 3, 15] [1, 4, 3, 15] ----------------- = ------------- [13, 17, 10] [13, 10] denominator=, [13, 17, 13] [1, 15, 17, 5, 5] [1, 15, 5, 5] ----------------- = ------------- [13, 17, 13] [13, 13] denominator=, [13, 17, 14] [2, 6, 17, 4, 15] [2, 6, 4, 15] ----------------- = ------------- [13, 17, 14] [13, 14] denominator=, [13, 17, 15] [1, 17, 17, 10] [1, 17, 10] --------------- = ----------- [13, 17, 15] [13, 15] [7, 17, 16, 5] [7, 16, 5] -------------- = ---------- [13, 17, 15] [13, 15] [19, 17, 13, 15] [19, 13, 15] ---------------- = ------------ [13, 17, 15] [13, 15] [1, 5, 17, 12, 10] [1, 5, 12, 10] ------------------ = -------------- [13, 17, 15] [13, 15] [1, 11, 17, 11, 5] [1, 11, 11, 5] ------------------ = -------------- [13, 17, 15] [13, 15] [1, 17, 17, 10, 0] [1, 17, 10, 0] ------------------ = -------------- [13, 17, 15] [13, 15] [2, 3, 17, 8, 15] [2, 3, 8, 15] ----------------- = ------------- [13, 17, 15] [13, 15] [2, 9, 17, 7, 10] [2, 9, 7, 10] ----------------- = ------------- [13, 17, 15] [13, 15] [2, 15, 17, 6, 5] [2, 15, 6, 5] ----------------- = ------------- [13, 17, 15] [13, 15] [3, 1, 17, 5, 0] [3, 1, 5, 0] ---------------- = ------------ [13, 17, 15] [13, 15] [3, 7, 17, 3, 15] [3, 7, 3, 15] ----------------- = ------------- [13, 17, 15] [13, 15] [3, 13, 17, 2, 10] [3, 13, 2, 10] ------------------ = -------------- [13, 17, 15] [13, 15] [4, 5, 17, 0, 0] [4, 5, 0, 0] ---------------- = ------------ [13, 17, 15] [13, 15] denominator=, [13, 17, 16] [2, 17, 17, 10] [2, 17, 10] --------------- = ----------- [13, 17, 16] [13, 16] [1, 4, 17, 14, 10] [1, 4, 14, 10] ------------------ = -------------- [13, 17, 16] [13, 16] [1, 15, 17, 13, 0] [1, 15, 13, 0] ------------------ = -------------- [13, 17, 16] [13, 16] [2, 6, 17, 11, 10] [2, 6, 11, 10] ------------------ = -------------- [13, 17, 16] [13, 16] [2, 17, 17, 10, 0] [2, 17, 10, 0] ------------------ = -------------- [13, 17, 16] [13, 16] [3, 8, 17, 8, 10] [3, 8, 8, 10] ----------------- = ------------- [13, 17, 16] [13, 16] [4, 10, 17, 5, 10] [4, 10, 5, 10] ------------------ = -------------- [13, 17, 16] [13, 16] [5, 1, 17, 4, 0] [5, 1, 4, 0] ---------------- = ------------ [13, 17, 16] [13, 16] [5, 12, 17, 2, 10] [5, 12, 2, 10] ------------------ = -------------- [13, 17, 16] [13, 16] [6, 3, 17, 1, 0] [6, 3, 1, 0] ---------------- = ------------ [13, 17, 16] [13, 16] denominator=, [13, 18, 5] [18, 18, 0] [18, 0] ----------- = ------- [13, 18, 5] [13, 5] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [13, 18, 5] [13, 5] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [13, 18, 5] [13, 5] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [13, 18, 5] [13, 5] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [13, 18, 5] [13, 5] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [13, 18, 5] [13, 5] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [13, 18, 5] [13, 5] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [13, 18, 5] [13, 5] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [13, 18, 5] [13, 5] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [13, 18, 5] [13, 5] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [13, 18, 5] [13, 5] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [13, 18, 5] [13, 5] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [13, 18, 5] [13, 5] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [13, 18, 5] [13, 5] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [13, 18, 5] [13, 5] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [13, 18, 5] [13, 5] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [13, 18, 5] [13, 5] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [13, 18, 5] [13, 5] denominator=, [13, 19, 6] [19, 19, 0] [19, 0] ----------- = ------- [13, 19, 6] [13, 6] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [13, 19, 6] [13, 6] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [13, 19, 6] [13, 6] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [13, 19, 6] [13, 6] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [13, 19, 6] [13, 6] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [13, 19, 6] [13, 6] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [13, 19, 6] [13, 6] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [13, 19, 6] [13, 6] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [13, 19, 6] [13, 6] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [13, 19, 6] [13, 6] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [13, 19, 6] [13, 6] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [13, 19, 6] [13, 6] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [13, 19, 6] [13, 6] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [13, 19, 6] [13, 6] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [13, 19, 6] [13, 6] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [13, 19, 6] [13, 6] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [13, 19, 6] [13, 6] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [13, 19, 6] [13, 6] denominator=, [13, 19, 13] [19, 19, 10] [19, 10] ------------ = -------- [13, 19, 13] [13, 13] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [13, 19, 13] [13, 13] [2, 19, 18, 10] [2, 18, 10] --------------- = ----------- [13, 19, 13] [13, 13] [3, 19, 18, 0] [3, 18, 0] -------------- = ---------- [13, 19, 13] [13, 13] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [13, 19, 13] [13, 13] [5, 19, 17, 0] [5, 17, 0] -------------- = ---------- [13, 19, 13] [13, 13] [7, 19, 16, 0] [7, 16, 0] -------------- = ---------- [13, 19, 13] [13, 13] [8, 19, 15, 10] [8, 15, 10] --------------- = ----------- [13, 19, 13] [13, 13] [9, 19, 15, 0] [9, 15, 0] -------------- = ---------- [13, 19, 13] [13, 13] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [13, 19, 13] [13, 13] [11, 19, 14, 0] [11, 14, 0] --------------- = ----------- [13, 19, 13] [13, 13] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [13, 19, 13] [13, 13] [14, 19, 12, 10] [14, 12, 10] ---------------- = ------------ [13, 19, 13] [13, 13] [15, 19, 12, 0] [15, 12, 0] --------------- = ----------- [13, 19, 13] [13, 13] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [13, 19, 13] [13, 13] [17, 19, 11, 0] [17, 11, 0] --------------- = ----------- [13, 19, 13] [13, 13] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [13, 19, 13] [13, 13] [19, 19, 10, 0] [19, 10, 0] --------------- = ----------- [13, 19, 13] [13, 13] [1, 1, 19, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [13, 19, 13] [13, 13] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 3, 19, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [13, 19, 13] [13, 13] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 5, 19, 7, 0] [1, 5, 7, 0] ---------------- = ------------ [13, 19, 13] [13, 13] [1, 6, 19, 6, 10] [1, 6, 6, 10] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 9, 19, 5, 0] [1, 9, 5, 0] ---------------- = ------------ [13, 19, 13] [13, 13] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [13, 19, 13] [13, 13] [1, 11, 19, 4, 0] [1, 11, 4, 0] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 12, 19, 3, 10] [1, 12, 3, 10] ------------------ = -------------- [13, 19, 13] [13, 13] [1, 13, 19, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 15, 19, 2, 0] [1, 15, 2, 0] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [13, 19, 13] [13, 13] [1, 17, 19, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [13, 19, 13] [13, 13] [1, 18, 19, 0, 10] [1, 18, 0, 10] ------------------ = -------------- [13, 19, 13] [13, 13] [1, 19, 19, 0, 0] [1, 19, 0, 0] ----------------- = ------------- [13, 19, 13] [13, 13] denominator=, [14, 4, 2] [5, 4, 3, 8] [5, 3, 8] ------------ = --------- [14, 4, 2] [14, 2] [1, 3, 4, 0, 12] [1, 3, 0, 12] ---------------- = ------------- [14, 4, 2] [14, 2] denominator=, [14, 6, 4] [1, 11, 6, 1, 5] [1, 11, 1, 5] ---------------- = ------------- [14, 6, 4] [14, 4] denominator=, [14, 6, 6] [2, 8, 6, 5, 5] [2, 8, 5, 5] --------------- = ------------ [14, 6, 6] [14, 6] [5, 16, 6, 3, 15] [5, 16, 3, 15] ----------------- = -------------- [14, 6, 6] [14, 6] [9, 4, 6, 2, 5] [9, 4, 2, 5] --------------- = ------------ [14, 6, 6] [14, 6] [12, 12, 6, 0, 15] [12, 12, 0, 15] ------------------ = --------------- [14, 6, 6] [14, 6] denominator=, [14, 7, 6] [1, 15, 7, 4, 0] [1, 15, 4, 0] ---------------- = ------------- [14, 7, 6] [14, 6] [2, 16, 7, 2, 0] [2, 16, 2, 0] ---------------- = ------------- [14, 7, 6] [14, 6] [3, 17, 7, 0, 0] [3, 17, 0, 0] ---------------- = ------------- [14, 7, 6] [14, 6] denominator=, [14, 7, 7] [2, 13, 7, 6, 0] [2, 13, 6, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [4, 12, 7, 5, 0] [4, 12, 5, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [6, 11, 7, 4, 0] [6, 11, 4, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [8, 10, 7, 3, 0] [8, 10, 3, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [10, 9, 7, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [14, 7, 7] [14, 7] [12, 8, 7, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [14, 7, 7] [14, 7] denominator=, [14, 9, 0] [3, 9, 7, 4] [3, 7, 4] ------------ = --------- [14, 9, 0] [14, 0] denominator=, [14, 9, 5] [3, 9, 8, 8] [3, 8, 8] ------------ = --------- [14, 9, 5] [14, 5] [1, 5, 9, 1, 12] [1, 5, 1, 12] ---------------- = ------------- [14, 9, 5] [14, 5] denominator=, [14, 9, 6] [4, 9, 8, 8] [4, 8, 8] ------------ = --------- [14, 9, 6] [14, 6] [9, 9, 7, 4] [9, 7, 4] ------------ = --------- [14, 9, 6] [14, 6] [19, 9, 4, 16] [19, 4, 16] -------------- = ----------- [14, 9, 6] [14, 6] [1, 4, 9, 3, 12] [1, 4, 3, 12] ---------------- = ------------- [14, 9, 6] [14, 6] [1, 9, 9, 2, 8] [1, 9, 2, 8] --------------- = ------------ [14, 9, 6] [14, 6] [1, 14, 9, 1, 4] [1, 14, 1, 4] ---------------- = ------------- [14, 9, 6] [14, 6] [1, 19, 9, 0, 0] [1, 19, 0, 0] ---------------- = ------------- [14, 9, 6] [14, 6] denominator=, [14, 10, 8] [1, 17, 10, 4, 0] [1, 17, 4, 0] ----------------- = ------------- [14, 10, 8] [14, 8] [3, 0, 10, 0, 0] [3, 0, 0, 0] ---------------- = ------------ [14, 10, 8] [14, 8] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 1, 14, 1, 17] [1, 1, 1, 17] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 19] [16, 5, 19] --------------- = ----------- [14, 14, 7] [14, 7] [18, 14, 4, 18] [18, 4, 18] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 3, 17] [1, 0, 3, 17] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 2, 16] [1, 2, 2, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 1, 15] [1, 4, 1, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 0, 14] [1, 6, 0, 14] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 1, 14, 4, 16] [1, 1, 4, 16] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 1, 14, 7, 15] [1, 1, 7, 15] ----------------- = ------------- [14, 14, 10] [14, 10] [1, 15, 14, 3, 5] [1, 15, 3, 5] ----------------- = ------------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 1, 14, 10, 14] [1, 1, 10, 14] ------------------ = -------------- [14, 14, 12] [14, 12] [1, 15, 14, 8, 2] [1, 15, 8, 2] ----------------- = ------------- [14, 14, 12] [14, 12] [2, 9, 14, 5, 10] [2, 9, 5, 10] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 3, 14, 2, 18] [3, 3, 2, 18] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 17, 14, 0, 6] [3, 17, 0, 6] ----------------- = ------------- [14, 14, 12] [14, 12] denominator=, [14, 15, 1] [15, 15, 0] [15, 0] ----------- = ------- [14, 15, 1] [14, 1] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [14, 15, 1] [14, 1] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [14, 15, 1] [14, 1] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [14, 15, 1] [14, 1] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [14, 15, 1] [14, 1] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [14, 15, 1] [14, 1] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [14, 15, 1] [14, 1] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [14, 15, 1] [14, 1] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [14, 15, 1] [14, 1] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [14, 15, 1] [14, 1] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [14, 15, 1] [14, 1] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [14, 15, 1] [14, 1] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [14, 15, 1] [14, 1] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [14, 15, 1] [14, 1] [15, 15, 0, 0] [15, 0, 0] -------------- = ---------- [14, 15, 1] [14, 1] denominator=, [14, 16, 2] [16, 16, 0] [16, 0] ----------- = ------- [14, 16, 2] [14, 2] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [14, 16, 2] [14, 2] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [14, 16, 2] [14, 2] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [14, 16, 2] [14, 2] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [14, 16, 2] [14, 2] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [14, 16, 2] [14, 2] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [14, 16, 2] [14, 2] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [14, 16, 2] [14, 2] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [14, 16, 2] [14, 2] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [14, 16, 2] [14, 2] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [14, 16, 2] [14, 2] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [14, 16, 2] [14, 2] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [14, 16, 2] [14, 2] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [14, 16, 2] [14, 2] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [14, 16, 2] [14, 2] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [14, 16, 2] [14, 2] denominator=, [14, 16, 14] [3, 1, 16, 5, 0] [3, 1, 5, 0] ---------------- = ------------ [14, 16, 14] [14, 14] denominator=, [14, 17, 3] [17, 17, 0] [17, 0] ----------- = ------- [14, 17, 3] [14, 3] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [14, 17, 3] [14, 3] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [14, 17, 3] [14, 3] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [14, 17, 3] [14, 3] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [14, 17, 3] [14, 3] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [14, 17, 3] [14, 3] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [14, 17, 3] [14, 3] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [14, 17, 3] [14, 3] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [14, 17, 3] [14, 3] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [14, 17, 3] [14, 3] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [14, 17, 3] [14, 3] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [14, 17, 3] [14, 3] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [14, 17, 3] [14, 3] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [14, 17, 3] [14, 3] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [14, 17, 3] [14, 3] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [14, 17, 3] [14, 3] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [14, 17, 3] [14, 3] denominator=, [14, 18, 4] [18, 18, 0] [18, 0] ----------- = ------- [14, 18, 4] [14, 4] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [14, 18, 4] [14, 4] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [14, 18, 4] [14, 4] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [14, 18, 4] [14, 4] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [14, 18, 4] [14, 4] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [14, 18, 4] [14, 4] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [14, 18, 4] [14, 4] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [14, 18, 4] [14, 4] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [14, 18, 4] [14, 4] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [14, 18, 4] [14, 4] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [14, 18, 4] [14, 4] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [14, 18, 4] [14, 4] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [14, 18, 4] [14, 4] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [14, 18, 4] [14, 4] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [14, 18, 4] [14, 4] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [14, 18, 4] [14, 4] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [14, 18, 4] [14, 4] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [14, 18, 4] [14, 4] denominator=, [14, 19, 2] [19, 18, 16] [18, 16] ------------ = -------- [14, 19, 2] [14, 2] [1, 19, 17, 12] [1, 17, 12] --------------- = ----------- [14, 19, 2] [14, 2] [3, 19, 15, 4] [3, 15, 4] -------------- = ---------- [14, 19, 2] [14, 2] [4, 19, 14, 0] [4, 14, 0] -------------- = ---------- [14, 19, 2] [14, 2] [6, 19, 11, 12] [6, 11, 12] --------------- = ----------- [14, 19, 2] [14, 2] [7, 19, 10, 8] [7, 10, 8] -------------- = ---------- [14, 19, 2] [14, 2] [9, 19, 8, 0] [9, 8, 0] ------------- = --------- [14, 19, 2] [14, 2] [10, 19, 6, 16] [10, 6, 16] --------------- = ----------- [14, 19, 2] [14, 2] [12, 19, 4, 8] [12, 4, 8] -------------- = ---------- [14, 19, 2] [14, 2] [13, 19, 3, 4] [13, 3, 4] -------------- = ---------- [14, 19, 2] [14, 2] [15, 19, 0, 16] [15, 0, 16] --------------- = ----------- [14, 19, 2] [14, 2] denominator=, [14, 19, 5] [19, 19, 0] [19, 0] ----------- = ------- [14, 19, 5] [14, 5] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [14, 19, 5] [14, 5] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [14, 19, 5] [14, 5] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [14, 19, 5] [14, 5] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [14, 19, 5] [14, 5] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [14, 19, 5] [14, 5] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [14, 19, 5] [14, 5] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [14, 19, 5] [14, 5] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [14, 19, 5] [14, 5] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [14, 19, 5] [14, 5] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [14, 19, 5] [14, 5] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [14, 19, 5] [14, 5] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [14, 19, 5] [14, 5] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [14, 19, 5] [14, 5] denominator=, [14, 19, 8] [19, 19, 4] [19, 4] ----------- = ------- [14, 19, 8] [14, 8] [1, 19, 18, 8] [1, 18, 8] -------------- = ---------- [14, 19, 8] [14, 8] [3, 19, 16, 16] [3, 16, 16] --------------- = ----------- [14, 19, 8] [14, 8] [4, 19, 16, 0] [4, 16, 0] -------------- = ---------- [14, 19, 8] [14, 8] [6, 19, 14, 8] [6, 14, 8] -------------- = ---------- [14, 19, 8] [14, 8] [7, 19, 13, 12] [7, 13, 12] --------------- = ----------- [14, 19, 8] [14, 8] [9, 19, 12, 0] [9, 12, 0] -------------- = ---------- [14, 19, 8] [14, 8] [10, 19, 11, 4] [10, 11, 4] --------------- = ----------- [14, 19, 8] [14, 8] [12, 19, 9, 12] [12, 9, 12] --------------- = ----------- [14, 19, 8] [14, 8] [13, 19, 8, 16] [13, 8, 16] --------------- = ----------- [14, 19, 8] [14, 8] [15, 19, 7, 4] [15, 7, 4] -------------- = ---------- [14, 19, 8] [14, 8] [16, 19, 6, 8] [16, 6, 8] -------------- = ---------- [14, 19, 8] [14, 8] [18, 19, 4, 16] [18, 4, 16] --------------- = ----------- [14, 19, 8] [14, 8] [19, 19, 4, 0] [19, 4, 0] -------------- = ---------- [14, 19, 8] [14, 8] [1, 1, 19, 2, 8] [1, 1, 2, 8] ---------------- = ------------ [14, 19, 8] [14, 8] [1, 2, 19, 1, 12] [1, 2, 1, 12] ----------------- = ------------- [14, 19, 8] [14, 8] [1, 4, 19, 0, 0] [1, 4, 0, 0] ---------------- = ------------ [14, 19, 8] [14, 8] denominator=, [14, 19, 11] [19, 19, 8] [19, 8] ------------ = -------- [14, 19, 11] [14, 11] [1, 19, 18, 16] [1, 18, 16] --------------- = ----------- [14, 19, 11] [14, 11] [3, 19, 17, 12] [3, 17, 12] --------------- = ----------- [14, 19, 11] [14, 11] [4, 19, 17, 0] [4, 17, 0] -------------- = ---------- [14, 19, 11] [14, 11] [6, 19, 15, 16] [6, 15, 16] --------------- = ----------- [14, 19, 11] [14, 11] [7, 19, 15, 4] [7, 15, 4] -------------- = ---------- [14, 19, 11] [14, 11] [9, 19, 14, 0] [9, 14, 0] -------------- = ---------- [14, 19, 11] [14, 11] [10, 19, 13, 8] [10, 13, 8] --------------- = ----------- [14, 19, 11] [14, 11] [12, 19, 12, 4] [12, 12, 4] --------------- = ----------- [14, 19, 11] [14, 11] [13, 19, 11, 12] [13, 11, 12] ---------------- = ------------ [14, 19, 11] [14, 11] [15, 19, 10, 8] [15, 10, 8] --------------- = ----------- [14, 19, 11] [14, 11] [16, 19, 9, 16] [16, 9, 16] --------------- = ----------- [14, 19, 11] [14, 11] [18, 19, 8, 12] [18, 8, 12] --------------- = ----------- [14, 19, 11] [14, 11] [19, 19, 8, 0] [19, 8, 0] -------------- = ---------- [14, 19, 11] [14, 11] [1, 1, 19, 6, 16] [1, 1, 6, 16] ----------------- = ------------- [14, 19, 11] [14, 11] [1, 2, 19, 6, 4] [1, 2, 6, 4] ---------------- = ------------ [14, 19, 11] [14, 11] [1, 4, 19, 5, 0] [1, 4, 5, 0] ---------------- = ------------ [14, 19, 11] [14, 11] [1, 5, 19, 4, 8] [1, 5, 4, 8] ---------------- = ------------ [14, 19, 11] [14, 11] [1, 7, 19, 3, 4] [1, 7, 3, 4] ---------------- = ------------ [14, 19, 11] [14, 11] [1, 8, 19, 2, 12] [1, 8, 2, 12] ----------------- = ------------- [14, 19, 11] [14, 11] [1, 10, 19, 1, 8] [1, 10, 1, 8] ----------------- = ------------- [14, 19, 11] [14, 11] [1, 11, 19, 0, 16] [1, 11, 0, 16] ------------------ = -------------- [14, 19, 11] [14, 11] denominator=, [14, 19, 14] [19, 19, 12] [19, 12] ------------ = -------- [14, 19, 14] [14, 14] [1, 19, 19, 4] [1, 19, 4] -------------- = ---------- [14, 19, 14] [14, 14] [3, 19, 18, 8] [3, 18, 8] -------------- = ---------- [14, 19, 14] [14, 14] [4, 19, 18, 0] [4, 18, 0] -------------- = ---------- [14, 19, 14] [14, 14] [6, 19, 17, 4] [6, 17, 4] -------------- = ---------- [14, 19, 14] [14, 14] [7, 19, 16, 16] [7, 16, 16] --------------- = ----------- [14, 19, 14] [14, 14] [9, 19, 16, 0] [9, 16, 0] -------------- = ---------- [14, 19, 14] [14, 14] [10, 19, 15, 12] [10, 15, 12] ---------------- = ------------ [14, 19, 14] [14, 14] [12, 19, 14, 16] [12, 14, 16] ---------------- = ------------ [14, 19, 14] [14, 14] [13, 19, 14, 8] [13, 14, 8] --------------- = ----------- [14, 19, 14] [14, 14] [15, 19, 13, 12] [15, 13, 12] ---------------- = ------------ [14, 19, 14] [14, 14] [16, 19, 13, 4] [16, 13, 4] --------------- = ----------- [14, 19, 14] [14, 14] [18, 19, 12, 8] [18, 12, 8] --------------- = ----------- [14, 19, 14] [14, 14] [19, 19, 12, 0] [19, 12, 0] --------------- = ----------- [14, 19, 14] [14, 14] [1, 1, 19, 11, 4] [1, 1, 11, 4] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 2, 19, 10, 16] [1, 2, 10, 16] ------------------ = -------------- [14, 19, 14] [14, 14] [1, 4, 19, 10, 0] [1, 4, 10, 0] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 5, 19, 9, 12] [1, 5, 9, 12] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 7, 19, 8, 16] [1, 7, 8, 16] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 8, 19, 8, 8] [1, 8, 8, 8] ---------------- = ------------ [14, 19, 14] [14, 14] [1, 10, 19, 7, 12] [1, 10, 7, 12] ------------------ = -------------- [14, 19, 14] [14, 14] [1, 11, 19, 7, 4] [1, 11, 7, 4] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 13, 19, 6, 8] [1, 13, 6, 8] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 14, 19, 6, 0] [1, 14, 6, 0] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 16, 19, 5, 4] [1, 16, 5, 4] ----------------- = ------------- [14, 19, 14] [14, 14] [1, 17, 19, 4, 16] [1, 17, 4, 16] ------------------ = -------------- [14, 19, 14] [14, 14] [1, 19, 19, 4, 0] [1, 19, 4, 0] ----------------- = ------------- [14, 19, 14] [14, 14] [2, 0, 19, 3, 12] [2, 0, 3, 12] ----------------- = ------------- [14, 19, 14] [14, 14] [2, 2, 19, 2, 16] [2, 2, 2, 16] ----------------- = ------------- [14, 19, 14] [14, 14] [2, 3, 19, 2, 8] [2, 3, 2, 8] ---------------- = ------------ [14, 19, 14] [14, 14] [2, 5, 19, 1, 12] [2, 5, 1, 12] ----------------- = ------------- [14, 19, 14] [14, 14] [2, 6, 19, 1, 4] [2, 6, 1, 4] ---------------- = ------------ [14, 19, 14] [14, 14] [2, 8, 19, 0, 8] [2, 8, 0, 8] ---------------- = ------------ [14, 19, 14] [14, 14] [2, 9, 19, 0, 0] [2, 9, 0, 0] ---------------- = ------------ [14, 19, 14] [14, 14] denominator=, [14, 19, 17] [19, 19, 16] [19, 16] ------------ = -------- [14, 19, 17] [14, 17] [1, 19, 19, 12] [1, 19, 12] --------------- = ----------- [14, 19, 17] [14, 17] [3, 19, 19, 4] [3, 19, 4] -------------- = ---------- [14, 19, 17] [14, 17] [4, 19, 19, 0] [4, 19, 0] -------------- = ---------- [14, 19, 17] [14, 17] [6, 19, 18, 12] [6, 18, 12] --------------- = ----------- [14, 19, 17] [14, 17] [7, 19, 18, 8] [7, 18, 8] -------------- = ---------- [14, 19, 17] [14, 17] [9, 19, 18, 0] [9, 18, 0] -------------- = ---------- [14, 19, 17] [14, 17] [10, 19, 17, 16] [10, 17, 16] ---------------- = ------------ [14, 19, 17] [14, 17] [12, 19, 17, 8] [12, 17, 8] --------------- = ----------- [14, 19, 17] [14, 17] [13, 19, 17, 4] [13, 17, 4] --------------- = ----------- [14, 19, 17] [14, 17] [15, 19, 16, 16] [15, 16, 16] ---------------- = ------------ [14, 19, 17] [14, 17] [16, 19, 16, 12] [16, 16, 12] ---------------- = ------------ [14, 19, 17] [14, 17] [18, 19, 16, 4] [18, 16, 4] --------------- = ----------- [14, 19, 17] [14, 17] [19, 19, 16, 0] [19, 16, 0] --------------- = ----------- [14, 19, 17] [14, 17] [1, 1, 19, 15, 12] [1, 1, 15, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [1, 2, 19, 15, 8] [1, 2, 15, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [1, 4, 19, 15, 0] [1, 4, 15, 0] ----------------- = ------------- [14, 19, 17] [14, 17] [1, 5, 19, 14, 16] [1, 5, 14, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [1, 7, 19, 14, 8] [1, 7, 14, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [1, 8, 19, 14, 4] [1, 8, 14, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [1, 10, 19, 13, 16] [1, 10, 13, 16] ------------------- = --------------- [14, 19, 17] [14, 17] [1, 11, 19, 13, 12] [1, 11, 13, 12] ------------------- = --------------- [14, 19, 17] [14, 17] [1, 13, 19, 13, 4] [1, 13, 13, 4] ------------------ = -------------- [14, 19, 17] [14, 17] [1, 14, 19, 13, 0] [1, 14, 13, 0] ------------------ = -------------- [14, 19, 17] [14, 17] [1, 16, 19, 12, 12] [1, 16, 12, 12] ------------------- = --------------- [14, 19, 17] [14, 17] [1, 17, 19, 12, 8] [1, 17, 12, 8] ------------------ = -------------- [14, 19, 17] [14, 17] [1, 19, 19, 12, 0] [1, 19, 12, 0] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 0, 19, 11, 16] [2, 0, 11, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 2, 19, 11, 8] [2, 2, 11, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 3, 19, 11, 4] [2, 3, 11, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 5, 19, 10, 16] [2, 5, 10, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 6, 19, 10, 12] [2, 6, 10, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 8, 19, 10, 4] [2, 8, 10, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 9, 19, 10, 0] [2, 9, 10, 0] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 11, 19, 9, 12] [2, 11, 9, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 12, 19, 9, 8] [2, 12, 9, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 14, 19, 9, 0] [2, 14, 9, 0] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 15, 19, 8, 16] [2, 15, 8, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [2, 17, 19, 8, 8] [2, 17, 8, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [2, 18, 19, 8, 4] [2, 18, 8, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 0, 19, 7, 16] [3, 0, 7, 16] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 1, 19, 7, 12] [3, 1, 7, 12] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 3, 19, 7, 4] [3, 3, 7, 4] ---------------- = ------------ [14, 19, 17] [14, 17] [3, 4, 19, 7, 0] [3, 4, 7, 0] ---------------- = ------------ [14, 19, 17] [14, 17] [3, 6, 19, 6, 12] [3, 6, 6, 12] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 7, 19, 6, 8] [3, 7, 6, 8] ---------------- = ------------ [14, 19, 17] [14, 17] [3, 9, 19, 6, 0] [3, 9, 6, 0] ---------------- = ------------ [14, 19, 17] [14, 17] [3, 10, 19, 5, 16] [3, 10, 5, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [3, 12, 19, 5, 8] [3, 12, 5, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 13, 19, 5, 4] [3, 13, 5, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 15, 19, 4, 16] [3, 15, 4, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [3, 16, 19, 4, 12] [3, 16, 4, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [3, 18, 19, 4, 4] [3, 18, 4, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [3, 19, 19, 4, 0] [3, 19, 4, 0] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 1, 19, 3, 12] [4, 1, 3, 12] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 2, 19, 3, 8] [4, 2, 3, 8] ---------------- = ------------ [14, 19, 17] [14, 17] [4, 4, 19, 3, 0] [4, 4, 3, 0] ---------------- = ------------ [14, 19, 17] [14, 17] [4, 5, 19, 2, 16] [4, 5, 2, 16] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 7, 19, 2, 8] [4, 7, 2, 8] ---------------- = ------------ [14, 19, 17] [14, 17] [4, 8, 19, 2, 4] [4, 8, 2, 4] ---------------- = ------------ [14, 19, 17] [14, 17] [4, 10, 19, 1, 16] [4, 10, 1, 16] ------------------ = -------------- [14, 19, 17] [14, 17] [4, 11, 19, 1, 12] [4, 11, 1, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [4, 13, 19, 1, 4] [4, 13, 1, 4] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 14, 19, 1, 0] [4, 14, 1, 0] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 16, 19, 0, 12] [4, 16, 0, 12] ------------------ = -------------- [14, 19, 17] [14, 17] [4, 17, 19, 0, 8] [4, 17, 0, 8] ----------------- = ------------- [14, 19, 17] [14, 17] [4, 19, 19, 0, 0] [4, 19, 0, 0] ----------------- = ------------- [14, 19, 17] [14, 17] denominator=, [15, 3, 0] [3, 3, 2, 10] [3, 2, 10] ------------- = ---------- [15, 3, 0] [15, 0] [9, 3, 1, 5] [9, 1, 5] ------------ = --------- [15, 3, 0] [15, 0] denominator=, [15, 3, 3] [1, 19, 3, 2, 15] [1, 19, 2, 15] ----------------- = -------------- [15, 3, 3] [15, 3] [3, 3, 3, 2, 10] [3, 3, 2, 10] ---------------- = ------------- [15, 3, 3] [15, 3] [5, 11, 3, 2, 0] [5, 11, 2, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [6, 15, 3, 1, 15] [6, 15, 1, 15] ----------------- = -------------- [15, 3, 3] [15, 3] [9, 3, 3, 1, 5] [9, 3, 1, 5] --------------- = ------------ [15, 3, 3] [15, 3] [10, 7, 3, 1, 0] [10, 7, 1, 0] ---------------- = ------------- [15, 3, 3] [15, 3] [12, 15, 3, 0, 10] [12, 15, 0, 10] ------------------ = --------------- [15, 3, 3] [15, 3] [13, 19, 3, 0, 5] [13, 19, 0, 5] ----------------- = -------------- [15, 3, 3] [15, 3] denominator=, [15, 6, 6] [5, 12, 6, 4, 0] [5, 12, 4, 0] ---------------- = ------------- [15, 6, 6] [15, 6] [10, 9, 6, 2, 0] [10, 9, 2, 0] ---------------- = ------------- [15, 6, 6] [15, 6] denominator=, [15, 9, 8] [1, 16, 9, 6, 0] [1, 16, 6, 0] ---------------- = ------------- [15, 9, 8] [15, 8] [2, 17, 9, 4, 0] [2, 17, 4, 0] ---------------- = ------------- [15, 9, 8] [15, 8] [3, 18, 9, 2, 0] [3, 18, 2, 0] ---------------- = ------------- [15, 9, 8] [15, 8] [4, 19, 9, 0, 0] [4, 19, 0, 0] ---------------- = ------------- [15, 9, 8] [15, 8] denominator=, [15, 9, 9] [3, 4, 9, 7, 10] [3, 4, 7, 10] ---------------- = ------------- [15, 9, 9] [15, 9] [5, 13, 9, 6, 0] [5, 13, 6, 0] ---------------- = ------------- [15, 9, 9] [15, 9] [10, 11, 9, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [15, 9, 9] [15, 9] [13, 0, 9, 1, 10] [13, 0, 1, 10] ----------------- = -------------- [15, 9, 9] [15, 9] denominator=, [15, 11, 10] [2, 12, 11, 6, 5] [2, 12, 6, 5] ----------------- = ------------- [15, 11, 10] [15, 10] denominator=, [15, 12, 8] [2, 2, 12, 0, 0] [2, 2, 0, 0] ---------------- = ------------ [15, 12, 8] [15, 8] denominator=, [15, 12, 12] [5, 14, 12, 8, 0] [5, 14, 8, 0] ----------------- = ------------- [15, 12, 12] [15, 12] [10, 13, 12, 4, 0] [10, 13, 4, 0] ------------------ = -------------- [15, 12, 12] [15, 12] denominator=, [15, 14, 12] [1, 18, 14, 8, 0] [1, 18, 8, 0] ----------------- = ------------- [15, 14, 12] [15, 12] [3, 1, 14, 4, 0] [3, 1, 4, 0] ---------------- = ------------ [15, 14, 12] [15, 12] [4, 4, 14, 0, 0] [4, 4, 0, 0] ---------------- = ------------ [15, 14, 12] [15, 12] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [18, 15, 2, 19] [18, 2, 19] --------------- = ----------- [15, 15, 5] [15, 5] [1, 1, 15, 0, 18] [1, 1, 0, 18] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 0, 15, 2, 18] [1, 0, 2, 18] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 0, 15, 6, 17] [1, 0, 6, 17] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 5, 15, 4, 14] [1, 5, 4, 14] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 15, 15, 0, 8] [1, 15, 0, 8] ----------------- = ------------- [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [18, 15, 8, 18] [18, 8, 18] --------------- = ----------- [15, 15, 10] [15, 10] [1, 1, 15, 7, 16] [1, 1, 7, 16] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 4, 15, 6, 14] [1, 4, 6, 14] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 5, 12] [1, 7, 5, 12] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 13, 15, 3, 8] [1, 13, 3, 8] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 16, 15, 2, 6] [1, 16, 2, 6] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 19, 15, 1, 4] [1, 19, 1, 4] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 2, 15, 0, 2] [2, 2, 0, 2] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 0, 15, 10, 16] [1, 0, 10, 16] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 5, 15, 9, 12] [1, 5, 9, 12] ----------------- = ------------- [15, 15, 12] [15, 12] [1, 15, 15, 7, 4] [1, 15, 7, 4] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 0, 15, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 10, 15, 3, 12] [2, 10, 3, 12] ------------------ = -------------- [15, 15, 12] [15, 12] [2, 15, 15, 2, 8] [2, 15, 2, 8] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 5, 15, 0, 0] [3, 5, 0, 0] ---------------- = ------------ [15, 15, 12] [15, 12] denominator=, [15, 16, 1] [16, 16, 0] [16, 0] ----------- = ------- [15, 16, 1] [15, 1] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [15, 16, 1] [15, 1] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [15, 16, 1] [15, 1] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [15, 16, 1] [15, 1] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [15, 16, 1] [15, 1] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [15, 16, 1] [15, 1] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [15, 16, 1] [15, 1] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [15, 16, 1] [15, 1] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [15, 16, 1] [15, 1] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [15, 16, 1] [15, 1] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [15, 16, 1] [15, 1] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [15, 16, 1] [15, 1] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [15, 16, 1] [15, 1] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [15, 16, 1] [15, 1] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [15, 16, 1] [15, 1] [16, 16, 0, 0] [16, 0, 0] -------------- = ---------- [15, 16, 1] [15, 1] denominator=, [15, 16, 15] [2, 18, 16, 10, 0] [2, 18, 10, 0] ------------------ = -------------- [15, 16, 15] [15, 15] [5, 1, 16, 5, 0] [5, 1, 5, 0] ---------------- = ------------ [15, 16, 15] [15, 15] [7, 4, 16, 0, 0] [7, 4, 0, 0] ---------------- = ------------ [15, 16, 15] [15, 15] denominator=, [15, 17, 2] [17, 17, 0] [17, 0] ----------- = ------- [15, 17, 2] [15, 2] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [15, 17, 2] [15, 2] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [15, 17, 2] [15, 2] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [15, 17, 2] [15, 2] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [15, 17, 2] [15, 2] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [15, 17, 2] [15, 2] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [15, 17, 2] [15, 2] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [15, 17, 2] [15, 2] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [15, 17, 2] [15, 2] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [15, 17, 2] [15, 2] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [15, 17, 2] [15, 2] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [15, 17, 2] [15, 2] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [15, 17, 2] [15, 2] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [15, 17, 2] [15, 2] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [15, 17, 2] [15, 2] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [15, 17, 2] [15, 2] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [15, 17, 2] [15, 2] denominator=, [15, 18, 3] [18, 18, 0] [18, 0] ----------- = ------- [15, 18, 3] [15, 3] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [15, 18, 3] [15, 3] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [15, 18, 3] [15, 3] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [15, 18, 3] [15, 3] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [15, 18, 3] [15, 3] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [15, 18, 3] [15, 3] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [15, 18, 3] [15, 3] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [15, 18, 3] [15, 3] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [15, 18, 3] [15, 3] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [15, 18, 3] [15, 3] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [15, 18, 3] [15, 3] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [15, 18, 3] [15, 3] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [15, 18, 3] [15, 3] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [15, 18, 3] [15, 3] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [15, 18, 3] [15, 3] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [15, 18, 3] [15, 3] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [15, 18, 3] [15, 3] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [15, 18, 3] [15, 3] denominator=, [15, 18, 18] [5, 16, 18, 12, 0] [5, 16, 12, 0] ------------------ = -------------- [15, 18, 18] [15, 18] [10, 17, 18, 6, 0] [10, 17, 6, 0] ------------------ = -------------- [15, 18, 18] [15, 18] denominator=, [15, 19, 0] [19, 18, 15] [18, 15] ------------ = -------- [15, 19, 0] [15, 0] [1, 19, 17, 10] [1, 17, 10] --------------- = ----------- [15, 19, 0] [15, 0] [2, 19, 16, 5] [2, 16, 5] -------------- = ---------- [15, 19, 0] [15, 0] [4, 19, 13, 15] [4, 13, 15] --------------- = ----------- [15, 19, 0] [15, 0] [5, 19, 12, 10] [5, 12, 10] --------------- = ----------- [15, 19, 0] [15, 0] [6, 19, 11, 5] [6, 11, 5] -------------- = ---------- [15, 19, 0] [15, 0] [8, 19, 8, 15] [8, 8, 15] -------------- = ---------- [15, 19, 0] [15, 0] [9, 19, 7, 10] [9, 7, 10] -------------- = ---------- [15, 19, 0] [15, 0] [10, 19, 6, 5] [10, 6, 5] -------------- = ---------- [15, 19, 0] [15, 0] [12, 19, 3, 15] [12, 3, 15] --------------- = ----------- [15, 19, 0] [15, 0] [13, 19, 2, 10] [13, 2, 10] --------------- = ----------- [15, 19, 0] [15, 0] [14, 19, 1, 5] [14, 1, 5] -------------- = ---------- [15, 19, 0] [15, 0] denominator=, [15, 19, 2] [1, 19, 17, 15] [1, 17, 15] --------------- = ----------- [15, 19, 2] [15, 2] [5, 19, 13, 5] [5, 13, 5] -------------- = ---------- [15, 19, 2] [15, 2] [9, 19, 8, 15] [9, 8, 15] -------------- = ---------- [15, 19, 2] [15, 2] [13, 19, 4, 5] [13, 4, 5] -------------- = ---------- [15, 19, 2] [15, 2] denominator=, [15, 19, 4] [19, 19, 0] [19, 0] ----------- = ------- [15, 19, 4] [15, 4] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [15, 19, 4] [15, 4] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [15, 19, 4] [15, 4] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [15, 19, 4] [15, 4] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [15, 19, 4] [15, 4] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [15, 19, 4] [15, 4] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [15, 19, 4] [15, 4] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [15, 19, 4] [15, 4] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [15, 19, 4] [15, 4] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [15, 19, 4] [15, 4] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [15, 19, 4] [15, 4] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [15, 19, 4] [15, 4] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [15, 19, 4] [15, 4] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [15, 19, 4] [15, 4] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [15, 19, 4] [15, 4] denominator=, [15, 19, 6] [1, 19, 18, 5] [1, 18, 5] -------------- = ---------- [15, 19, 6] [15, 6] [5, 19, 14, 15] [5, 14, 15] --------------- = ----------- [15, 19, 6] [15, 6] [9, 19, 11, 5] [9, 11, 5] -------------- = ---------- [15, 19, 6] [15, 6] [13, 19, 7, 15] [13, 7, 15] --------------- = ----------- [15, 19, 6] [15, 6] [17, 19, 4, 5] [17, 4, 5] -------------- = ---------- [15, 19, 6] [15, 6] [1, 1, 19, 0, 15] [1, 1, 0, 15] ----------------- = ------------- [15, 19, 6] [15, 6] denominator=, [15, 19, 8] [19, 19, 5] [19, 5] ----------- = ------- [15, 19, 8] [15, 8] [1, 19, 18, 10] [1, 18, 10] --------------- = ----------- [15, 19, 8] [15, 8] [2, 19, 17, 15] [2, 17, 15] --------------- = ----------- [15, 19, 8] [15, 8] [4, 19, 16, 5] [4, 16, 5] -------------- = ---------- [15, 19, 8] [15, 8] [5, 19, 15, 10] [5, 15, 10] --------------- = ----------- [15, 19, 8] [15, 8] [6, 19, 14, 15] [6, 14, 15] --------------- = ----------- [15, 19, 8] [15, 8] [8, 19, 13, 5] [8, 13, 5] -------------- = ---------- [15, 19, 8] [15, 8] [9, 19, 12, 10] [9, 12, 10] --------------- = ----------- [15, 19, 8] [15, 8] [10, 19, 11, 15] [10, 11, 15] ---------------- = ------------ [15, 19, 8] [15, 8] [12, 19, 10, 5] [12, 10, 5] --------------- = ----------- [15, 19, 8] [15, 8] [13, 19, 9, 10] [13, 9, 10] --------------- = ----------- [15, 19, 8] [15, 8] [14, 19, 8, 15] [14, 8, 15] --------------- = ----------- [15, 19, 8] [15, 8] [16, 19, 7, 5] [16, 7, 5] -------------- = ---------- [15, 19, 8] [15, 8] [17, 19, 6, 10] [17, 6, 10] --------------- = ----------- [15, 19, 8] [15, 8] [18, 19, 5, 15] [18, 5, 15] --------------- = ----------- [15, 19, 8] [15, 8] [1, 0, 19, 4, 5] [1, 0, 4, 5] ---------------- = ------------ [15, 19, 8] [15, 8] [1, 1, 19, 3, 10] [1, 1, 3, 10] ----------------- = ------------- [15, 19, 8] [15, 8] [1, 2, 19, 2, 15] [1, 2, 2, 15] ----------------- = ------------- [15, 19, 8] [15, 8] [1, 4, 19, 1, 5] [1, 4, 1, 5] ---------------- = ------------ [15, 19, 8] [15, 8] [1, 5, 19, 0, 10] [1, 5, 0, 10] ----------------- = ------------- [15, 19, 8] [15, 8] denominator=, [15, 19, 10] [1, 19, 18, 15] [1, 18, 15] --------------- = ----------- [15, 19, 10] [15, 10] [5, 19, 16, 5] [5, 16, 5] -------------- = ---------- [15, 19, 10] [15, 10] [9, 19, 13, 15] [9, 13, 15] --------------- = ----------- [15, 19, 10] [15, 10] [13, 19, 11, 5] [13, 11, 5] --------------- = ----------- [15, 19, 10] [15, 10] [17, 19, 8, 15] [17, 8, 15] --------------- = ----------- [15, 19, 10] [15, 10] [1, 1, 19, 6, 5] [1, 1, 6, 5] ---------------- = ------------ [15, 19, 10] [15, 10] [1, 5, 19, 3, 15] [1, 5, 3, 15] ----------------- = ------------- [15, 19, 10] [15, 10] [1, 9, 19, 1, 5] [1, 9, 1, 5] ---------------- = ------------ [15, 19, 10] [15, 10] denominator=, [15, 19, 12] [19, 19, 10] [19, 10] ------------ = -------- [15, 19, 12] [15, 12] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [15, 19, 12] [15, 12] [2, 19, 18, 10] [2, 18, 10] --------------- = ----------- [15, 19, 12] [15, 12] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [15, 19, 12] [15, 12] [5, 19, 17, 0] [5, 17, 0] -------------- = ---------- [15, 19, 12] [15, 12] [6, 19, 16, 10] [6, 16, 10] --------------- = ----------- [15, 19, 12] [15, 12] [8, 19, 15, 10] [8, 15, 10] --------------- = ----------- [15, 19, 12] [15, 12] [9, 19, 15, 0] [9, 15, 0] -------------- = ---------- [15, 19, 12] [15, 12] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [15, 19, 12] [15, 12] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [15, 19, 12] [15, 12] [13, 19, 13, 0] [13, 13, 0] --------------- = ----------- [15, 19, 12] [15, 12] [14, 19, 12, 10] [14, 12, 10] ---------------- = ------------ [15, 19, 12] [15, 12] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [15, 19, 12] [15, 12] [17, 19, 11, 0] [17, 11, 0] --------------- = ----------- [15, 19, 12] [15, 12] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [15, 19, 12] [15, 12] [1, 0, 19, 9, 10] [1, 0, 9, 10] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 1, 19, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [15, 19, 12] [15, 12] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 5, 19, 7, 0] [1, 5, 7, 0] ---------------- = ------------ [15, 19, 12] [15, 12] [1, 6, 19, 6, 10] [1, 6, 6, 10] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 9, 19, 5, 0] [1, 9, 5, 0] ---------------- = ------------ [15, 19, 12] [15, 12] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [15, 19, 12] [15, 12] [1, 12, 19, 3, 10] [1, 12, 3, 10] ------------------ = -------------- [15, 19, 12] [15, 12] [1, 13, 19, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 14, 19, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [15, 19, 12] [15, 12] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [15, 19, 12] [15, 12] [1, 17, 19, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [15, 19, 12] [15, 12] [1, 18, 19, 0, 10] [1, 18, 0, 10] ------------------ = -------------- [15, 19, 12] [15, 12] denominator=, [15, 19, 14] [1, 19, 19, 5] [1, 19, 5] -------------- = ---------- [15, 19, 14] [15, 14] [5, 19, 17, 15] [5, 17, 15] --------------- = ----------- [15, 19, 14] [15, 14] [9, 19, 16, 5] [9, 16, 5] -------------- = ---------- [15, 19, 14] [15, 14] [13, 19, 14, 15] [13, 14, 15] ---------------- = ------------ [15, 19, 14] [15, 14] [17, 19, 13, 5] [17, 13, 5] --------------- = ----------- [15, 19, 14] [15, 14] [1, 1, 19, 11, 15] [1, 1, 11, 15] ------------------ = -------------- [15, 19, 14] [15, 14] [1, 5, 19, 10, 5] [1, 5, 10, 5] ----------------- = ------------- [15, 19, 14] [15, 14] [1, 9, 19, 8, 15] [1, 9, 8, 15] ----------------- = ------------- [15, 19, 14] [15, 14] [1, 13, 19, 7, 5] [1, 13, 7, 5] ----------------- = ------------- [15, 19, 14] [15, 14] [1, 17, 19, 5, 15] [1, 17, 5, 15] ------------------ = -------------- [15, 19, 14] [15, 14] [2, 1, 19, 4, 5] [2, 1, 4, 5] ---------------- = ------------ [15, 19, 14] [15, 14] [2, 5, 19, 2, 15] [2, 5, 2, 15] ----------------- = ------------- [15, 19, 14] [15, 14] [2, 9, 19, 1, 5] [2, 9, 1, 5] ---------------- = ------------ [15, 19, 14] [15, 14] denominator=, [15, 19, 16] [19, 19, 15] [19, 15] ------------ = -------- [15, 19, 16] [15, 16] [1, 19, 19, 10] [1, 19, 10] --------------- = ----------- [15, 19, 16] [15, 16] [2, 19, 19, 5] [2, 19, 5] -------------- = ---------- [15, 19, 16] [15, 16] [4, 19, 18, 15] [4, 18, 15] --------------- = ----------- [15, 19, 16] [15, 16] [5, 19, 18, 10] [5, 18, 10] --------------- = ----------- [15, 19, 16] [15, 16] [6, 19, 18, 5] [6, 18, 5] -------------- = ---------- [15, 19, 16] [15, 16] [8, 19, 17, 15] [8, 17, 15] --------------- = ----------- [15, 19, 16] [15, 16] [9, 19, 17, 10] [9, 17, 10] --------------- = ----------- [15, 19, 16] [15, 16] [10, 19, 17, 5] [10, 17, 5] --------------- = ----------- [15, 19, 16] [15, 16] [12, 19, 16, 15] [12, 16, 15] ---------------- = ------------ [15, 19, 16] [15, 16] [13, 19, 16, 10] [13, 16, 10] ---------------- = ------------ [15, 19, 16] [15, 16] [14, 19, 16, 5] [14, 16, 5] --------------- = ----------- [15, 19, 16] [15, 16] [16, 19, 15, 15] [16, 15, 15] ---------------- = ------------ [15, 19, 16] [15, 16] [17, 19, 15, 10] [17, 15, 10] ---------------- = ------------ [15, 19, 16] [15, 16] [18, 19, 15, 5] [18, 15, 5] --------------- = ----------- [15, 19, 16] [15, 16] [1, 0, 19, 14, 15] [1, 0, 14, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 1, 19, 14, 10] [1, 1, 14, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 2, 19, 14, 5] [1, 2, 14, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [1, 4, 19, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 5, 19, 13, 10] [1, 5, 13, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 6, 19, 13, 5] [1, 6, 13, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [1, 8, 19, 12, 15] [1, 8, 12, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 9, 19, 12, 10] [1, 9, 12, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 10, 19, 12, 5] [1, 10, 12, 5] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 12, 19, 11, 15] [1, 12, 11, 15] ------------------- = --------------- [15, 19, 16] [15, 16] [1, 13, 19, 11, 10] [1, 13, 11, 10] ------------------- = --------------- [15, 19, 16] [15, 16] [1, 14, 19, 11, 5] [1, 14, 11, 5] ------------------ = -------------- [15, 19, 16] [15, 16] [1, 16, 19, 10, 15] [1, 16, 10, 15] ------------------- = --------------- [15, 19, 16] [15, 16] [1, 17, 19, 10, 10] [1, 17, 10, 10] ------------------- = --------------- [15, 19, 16] [15, 16] [1, 18, 19, 10, 5] [1, 18, 10, 5] ------------------ = -------------- [15, 19, 16] [15, 16] [2, 0, 19, 9, 15] [2, 0, 9, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 1, 19, 9, 10] [2, 1, 9, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 2, 19, 9, 5] [2, 2, 9, 5] ---------------- = ------------ [15, 19, 16] [15, 16] [2, 4, 19, 8, 15] [2, 4, 8, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 5, 19, 8, 10] [2, 5, 8, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 6, 19, 8, 5] [2, 6, 8, 5] ---------------- = ------------ [15, 19, 16] [15, 16] [2, 8, 19, 7, 15] [2, 8, 7, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 9, 19, 7, 10] [2, 9, 7, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 10, 19, 7, 5] [2, 10, 7, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 12, 19, 6, 15] [2, 12, 6, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [2, 13, 19, 6, 10] [2, 13, 6, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [2, 14, 19, 6, 5] [2, 14, 6, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [2, 16, 19, 5, 15] [2, 16, 5, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [2, 17, 19, 5, 10] [2, 17, 5, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [2, 18, 19, 5, 5] [2, 18, 5, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 0, 19, 4, 15] [3, 0, 4, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 1, 19, 4, 10] [3, 1, 4, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 2, 19, 4, 5] [3, 2, 4, 5] ---------------- = ------------ [15, 19, 16] [15, 16] [3, 4, 19, 3, 15] [3, 4, 3, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 5, 19, 3, 10] [3, 5, 3, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 6, 19, 3, 5] [3, 6, 3, 5] ---------------- = ------------ [15, 19, 16] [15, 16] [3, 8, 19, 2, 15] [3, 8, 2, 15] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 9, 19, 2, 10] [3, 9, 2, 10] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 10, 19, 2, 5] [3, 10, 2, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 12, 19, 1, 15] [3, 12, 1, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [3, 13, 19, 1, 10] [3, 13, 1, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [3, 14, 19, 1, 5] [3, 14, 1, 5] ----------------- = ------------- [15, 19, 16] [15, 16] [3, 16, 19, 0, 15] [3, 16, 0, 15] ------------------ = -------------- [15, 19, 16] [15, 16] [3, 17, 19, 0, 10] [3, 17, 0, 10] ------------------ = -------------- [15, 19, 16] [15, 16] [3, 18, 19, 0, 5] [3, 18, 0, 5] ----------------- = ------------- [15, 19, 16] [15, 16] denominator=, [15, 19, 18] [1, 19, 19, 15] [1, 19, 15] --------------- = ----------- [15, 19, 18] [15, 18] [5, 19, 19, 5] [5, 19, 5] -------------- = ---------- [15, 19, 18] [15, 18] [9, 19, 18, 15] [9, 18, 15] --------------- = ----------- [15, 19, 18] [15, 18] [13, 19, 18, 5] [13, 18, 5] --------------- = ----------- [15, 19, 18] [15, 18] [17, 19, 17, 15] [17, 17, 15] ---------------- = ------------ [15, 19, 18] [15, 18] [1, 1, 19, 17, 5] [1, 1, 17, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [1, 5, 19, 16, 15] [1, 5, 16, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [1, 9, 19, 16, 5] [1, 9, 16, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [1, 13, 19, 15, 15] [1, 13, 15, 15] ------------------- = --------------- [15, 19, 18] [15, 18] [1, 17, 19, 15, 5] [1, 17, 15, 5] ------------------ = -------------- [15, 19, 18] [15, 18] [2, 1, 19, 14, 15] [2, 1, 14, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [2, 5, 19, 14, 5] [2, 5, 14, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [2, 9, 19, 13, 15] [2, 9, 13, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [2, 13, 19, 13, 5] [2, 13, 13, 5] ------------------ = -------------- [15, 19, 18] [15, 18] [2, 17, 19, 12, 15] [2, 17, 12, 15] ------------------- = --------------- [15, 19, 18] [15, 18] [3, 1, 19, 12, 5] [3, 1, 12, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [3, 5, 19, 11, 15] [3, 5, 11, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [3, 9, 19, 11, 5] [3, 9, 11, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [3, 13, 19, 10, 15] [3, 13, 10, 15] ------------------- = --------------- [15, 19, 18] [15, 18] [3, 17, 19, 10, 5] [3, 17, 10, 5] ------------------ = -------------- [15, 19, 18] [15, 18] [4, 1, 19, 9, 15] [4, 1, 9, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [4, 5, 19, 9, 5] [4, 5, 9, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [4, 9, 19, 8, 15] [4, 9, 8, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [4, 13, 19, 8, 5] [4, 13, 8, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [4, 17, 19, 7, 15] [4, 17, 7, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [5, 1, 19, 7, 5] [5, 1, 7, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [5, 5, 19, 6, 15] [5, 5, 6, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [5, 9, 19, 6, 5] [5, 9, 6, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [5, 13, 19, 5, 15] [5, 13, 5, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [5, 17, 19, 5, 5] [5, 17, 5, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [6, 1, 19, 4, 15] [6, 1, 4, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [6, 5, 19, 4, 5] [6, 5, 4, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [6, 9, 19, 3, 15] [6, 9, 3, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [6, 13, 19, 3, 5] [6, 13, 3, 5] ----------------- = ------------- [15, 19, 18] [15, 18] [6, 17, 19, 2, 15] [6, 17, 2, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [7, 1, 19, 2, 5] [7, 1, 2, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [7, 5, 19, 1, 15] [7, 5, 1, 15] ----------------- = ------------- [15, 19, 18] [15, 18] [7, 9, 19, 1, 5] [7, 9, 1, 5] ---------------- = ------------ [15, 19, 18] [15, 18] [7, 13, 19, 0, 15] [7, 13, 0, 15] ------------------ = -------------- [15, 19, 18] [15, 18] [7, 17, 19, 0, 5] [7, 17, 0, 5] ----------------- = ------------- [15, 19, 18] [15, 18] denominator=, [16, 4, 2] [5, 4, 3, 10] [5, 3, 10] ------------- = ---------- [16, 4, 2] [16, 2] [1, 7, 4, 0, 10] [1, 7, 0, 10] ---------------- = ------------- [16, 4, 2] [16, 2] denominator=, [16, 8, 4] [3, 8, 7, 10] [3, 7, 10] ------------- = ---------- [16, 8, 4] [16, 4] [1, 9, 8, 0, 10] [1, 9, 0, 10] ---------------- = ------------- [16, 8, 4] [16, 4] denominator=, [16, 8, 5] [4, 8, 7, 10] [4, 7, 10] ------------- = ---------- [16, 8, 5] [16, 5] [10, 8, 6, 5] [10, 6, 5] ------------- = ---------- [16, 8, 5] [16, 5] [1, 2, 8, 3, 15] [1, 2, 3, 15] ---------------- = ------------- [16, 8, 5] [16, 5] [1, 8, 8, 2, 10] [1, 8, 2, 10] ---------------- = ------------- [16, 8, 5] [16, 5] [1, 14, 8, 1, 5] [1, 14, 1, 5] ---------------- = ------------- [16, 8, 5] [16, 5] [2, 0, 8, 0, 0] [2, 0, 0, 0] --------------- = ------------ [16, 8, 5] [16, 5] denominator=, [16, 8, 6] [2, 15, 8, 0, 5] [2, 15, 0, 5] ---------------- = ------------- [16, 8, 6] [16, 6] denominator=, [16, 8, 7] [2, 2, 8, 4, 15] [2, 2, 4, 15] ---------------- = ------------- [16, 8, 7] [16, 7] [3, 8, 8, 2, 10] [3, 8, 2, 10] ---------------- = ------------- [16, 8, 7] [16, 7] denominator=, [16, 8, 8] [2, 15, 8, 7, 0] [2, 15, 7, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [6, 13, 8, 5, 0] [6, 13, 5, 0] ---------------- = ------------- [16, 8, 8] [16, 8] [10, 11, 8, 3, 0] [10, 11, 3, 0] ----------------- = -------------- [16, 8, 8] [16, 8] [14, 9, 8, 1, 0] [14, 9, 1, 0] ---------------- = ------------- [16, 8, 8] [16, 8] denominator=, [16, 11, 2] [7, 11, 7, 4] [7, 7, 4] ------------- = --------- [16, 11, 2] [16, 2] denominator=, [16, 11, 4] [2, 11, 10, 8] [2, 10, 8] -------------- = ---------- [16, 11, 4] [16, 4] [9, 11, 7, 4] [9, 7, 4] ------------- = --------- [16, 11, 4] [16, 4] [1, 3, 11, 0, 16] [1, 3, 0, 16] ----------------- = ------------- [16, 11, 4] [16, 4] denominator=, [16, 11, 7] [1, 17, 11, 1, 4] [1, 17, 1, 4] ----------------- = ------------- [16, 11, 7] [16, 7] denominator=, [16, 11, 9] [7, 11, 10, 8] [7, 10, 8] -------------- = ---------- [16, 11, 9] [16, 9] [1, 5, 11, 7, 12] [1, 5, 7, 12] ----------------- = ------------- [16, 11, 9] [16, 9] [1, 14, 11, 6, 4] [1, 14, 6, 4] ----------------- = ------------- [16, 11, 9] [16, 9] [2, 3, 11, 4, 16] [2, 3, 4, 16] ----------------- = ------------- [16, 11, 9] [16, 9] [2, 12, 11, 3, 8] [2, 12, 3, 8] ----------------- = ------------- [16, 11, 9] [16, 9] [3, 1, 11, 2, 0] [3, 1, 2, 0] ---------------- = ------------ [16, 11, 9] [16, 9] [3, 10, 11, 0, 12] [3, 10, 0, 12] ------------------ = -------------- [16, 11, 9] [16, 9] denominator=, [16, 11, 10] [1, 17, 11, 8, 0] [1, 17, 8, 0] ----------------- = ------------- [16, 11, 10] [16, 10] [2, 18, 11, 6, 0] [2, 18, 6, 0] ----------------- = ------------- [16, 11, 10] [16, 10] [5, 0, 11, 2, 0] [5, 0, 2, 0] ---------------- = ------------ [16, 11, 10] [16, 10] [6, 1, 11, 0, 0] [6, 1, 0, 0] ---------------- = ------------ [16, 11, 10] [16, 10] denominator=, [16, 14, 13] [3, 9, 14, 7, 10] [3, 9, 7, 10] ----------------- = ------------- [16, 14, 13] [16, 13] [6, 2, 14, 2, 0] [6, 2, 2, 0] ---------------- = ------------ [16, 14, 13] [16, 13] denominator=, [16, 15, 10] [2, 5, 15, 0, 0] [2, 5, 0, 0] ---------------- = ------------ [16, 15, 10] [16, 10] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [8, 16, 9, 1] [8, 9, 1] ------------- = --------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [8, 16, 10, 2] [8, 10, 2] -------------- = ---------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [1, 0, 16, 0, 19] [1, 0, 0, 19] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [8, 16, 11, 3] [8, 11, 3] -------------- = ---------- [16, 16, 6] [16, 6] [1, 4, 16, 0, 17] [1, 4, 0, 17] ----------------- = ------------- [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [8, 16, 12, 4] [8, 12, 4] -------------- = ---------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [18, 16, 6, 19] [18, 6, 19] --------------- = ----------- [16, 16, 8] [16, 8] [1, 0, 16, 5, 18] [1, 0, 5, 18] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 4, 17] [1, 2, 4, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 3, 16] [1, 4, 3, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 6, 16, 2, 15] [1, 6, 2, 15] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 1, 14] [1, 8, 1, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 0, 13] [1, 10, 0, 13] ------------------ = -------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [8, 16, 13, 5] [8, 13, 5] -------------- = ---------- [16, 16, 10] [16, 10] [1, 4, 16, 6, 15] [1, 4, 6, 15] ----------------- = ------------- [16, 16, 10] [16, 10] [2, 0, 16, 0, 5] [2, 0, 0, 5] ---------------- = ------------ [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [8, 16, 14, 6] [8, 14, 6] -------------- = ---------- [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [1, 0, 16, 10, 17] [1, 0, 10, 17] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 4, 16, 9, 14] [1, 4, 9, 14] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 8, 16, 8, 11] [1, 8, 8, 11] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 16, 16, 6, 5] [1, 16, 6, 5] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 5, 2] [2, 0, 5, 2] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 4, 16, 3, 19] [2, 4, 3, 19] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 12, 16, 1, 13] [2, 12, 1, 13] ------------------ = -------------- [16, 16, 12] [16, 12] [2, 16, 16, 0, 10] [2, 16, 0, 10] ------------------ = -------------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [8, 16, 15, 7] [8, 15, 7] -------------- = ---------- [16, 16, 14] [16, 14] [1, 4, 16, 12, 13] [1, 4, 12, 13] ------------------ = -------------- [16, 16, 14] [16, 14] [2, 0, 16, 9, 19] [2, 0, 9, 19] ----------------- = ------------- [16, 16, 14] [16, 14] [2, 16, 16, 7, 5] [2, 16, 7, 5] ----------------- = ------------- [16, 16, 14] [16, 14] [3, 12, 16, 4, 11] [3, 12, 4, 11] ------------------ = -------------- [16, 16, 14] [16, 14] [4, 8, 16, 1, 17] [4, 8, 1, 17] ----------------- = ------------- [16, 16, 14] [16, 14] denominator=, [16, 17, 1] [17, 17, 0] [17, 0] ----------- = ------- [16, 17, 1] [16, 1] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [16, 17, 1] [16, 1] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [16, 17, 1] [16, 1] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [16, 17, 1] [16, 1] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [16, 17, 1] [16, 1] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [16, 17, 1] [16, 1] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [16, 17, 1] [16, 1] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [16, 17, 1] [16, 1] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [16, 17, 1] [16, 1] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [16, 17, 1] [16, 1] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [16, 17, 1] [16, 1] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [16, 17, 1] [16, 1] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [16, 17, 1] [16, 1] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [16, 17, 1] [16, 1] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [16, 17, 1] [16, 1] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [16, 17, 1] [16, 1] [17, 17, 0, 0] [17, 0, 0] -------------- = ---------- [16, 17, 1] [16, 1] denominator=, [16, 17, 16] [6, 3, 17, 4, 0] [6, 3, 4, 0] ---------------- = ------------ [16, 17, 16] [16, 16] denominator=, [16, 18, 2] [18, 18, 0] [18, 0] ----------- = ------- [16, 18, 2] [16, 2] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [16, 18, 2] [16, 2] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [16, 18, 2] [16, 2] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [16, 18, 2] [16, 2] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [16, 18, 2] [16, 2] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [16, 18, 2] [16, 2] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [16, 18, 2] [16, 2] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [16, 18, 2] [16, 2] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [16, 18, 2] [16, 2] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [16, 18, 2] [16, 2] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [16, 18, 2] [16, 2] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [16, 18, 2] [16, 2] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [16, 18, 2] [16, 2] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [16, 18, 2] [16, 2] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [16, 18, 2] [16, 2] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [16, 18, 2] [16, 2] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [16, 18, 2] [16, 2] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [16, 18, 2] [16, 2] denominator=, [16, 18, 16] [1, 19, 18, 12, 0] [1, 19, 12, 0] ------------------ = -------------- [16, 18, 16] [16, 16] [3, 2, 18, 8, 0] [3, 2, 8, 0] ---------------- = ------------ [16, 18, 16] [16, 16] [4, 5, 18, 4, 0] [4, 5, 4, 0] ---------------- = ------------ [16, 18, 16] [16, 16] [5, 8, 18, 0, 0] [5, 8, 0, 0] ---------------- = ------------ [16, 18, 16] [16, 16] denominator=, [16, 19, 3] [19, 19, 0] [19, 0] ----------- = ------- [16, 19, 3] [16, 3] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [16, 19, 3] [16, 3] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [16, 19, 3] [16, 3] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [16, 19, 3] [16, 3] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [16, 19, 3] [16, 3] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [16, 19, 3] [16, 3] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [16, 19, 3] [16, 3] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [16, 19, 3] [16, 3] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [16, 19, 3] [16, 3] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [16, 19, 3] [16, 3] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [16, 19, 3] [16, 3] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [16, 19, 3] [16, 3] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [16, 19, 3] [16, 3] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [16, 19, 3] [16, 3] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [16, 19, 3] [16, 3] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [16, 19, 3] [16, 3] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [16, 19, 3] [16, 3] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [16, 19, 3] [16, 3] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [16, 19, 3] [16, 3] denominator=, [17, 2, 0] [4, 2, 1, 12] [4, 1, 12] ------------- = ---------- [17, 2, 0] [17, 0] denominator=, [17, 5, 4] [2, 18, 5, 1, 0] [2, 18, 1, 0] ---------------- = ------------- [17, 5, 4] [17, 4] denominator=, [17, 7, 1] [2, 7, 6, 10] [2, 6, 10] ------------- = ---------- [17, 7, 1] [17, 1] [5, 7, 5, 8] [5, 5, 8] ------------ = --------- [17, 7, 1] [17, 1] [8, 7, 4, 6] [8, 4, 6] ------------ = --------- [17, 7, 1] [17, 1] [11, 7, 3, 4] [11, 3, 4] ------------- = ---------- [17, 7, 1] [17, 1] [14, 7, 2, 2] [14, 2, 2] ------------- = ---------- [17, 7, 1] [17, 1] denominator=, [17, 7, 2] [6, 7, 5, 8] [6, 5, 8] ------------ = --------- [17, 7, 2] [17, 2] denominator=, [17, 7, 5] [6, 7, 6, 10] [6, 6, 10] ------------- = ---------- [17, 7, 5] [17, 5] [1, 8, 7, 3, 10] [1, 8, 3, 10] ---------------- = ------------- [17, 7, 5] [17, 5] [1, 19, 7, 2, 0] [1, 19, 2, 0] ---------------- = ------------- [17, 7, 5] [17, 5] denominator=, [17, 13, 2] [3, 13, 11, 5] [3, 11, 5] -------------- = ---------- [17, 13, 2] [17, 2] denominator=, [17, 13, 3] [5, 13, 10, 5] [5, 10, 5] -------------- = ---------- [17, 13, 3] [17, 3] denominator=, [17, 13, 8] [3, 13, 12, 10] [3, 12, 10] --------------- = ----------- [17, 13, 8] [17, 8] [10, 13, 10, 5] [10, 10, 5] --------------- = ----------- [17, 13, 8] [17, 8] [1, 4, 13, 5, 15] [1, 4, 5, 15] ----------------- = ------------- [17, 13, 8] [17, 8] [1, 11, 13, 3, 10] [1, 11, 3, 10] ------------------ = -------------- [17, 13, 8] [17, 8] [1, 18, 13, 1, 5] [1, 18, 1, 5] ----------------- = ------------- [17, 13, 8] [17, 8] denominator=, [17, 13, 10] [5, 13, 12, 10] [5, 12, 10] --------------- = ----------- [17, 13, 10] [17, 10] [11, 13, 11, 5] [11, 11, 5] --------------- = ----------- [17, 13, 10] [17, 10] [1, 3, 13, 8, 15] [1, 3, 8, 15] ----------------- = ------------- [17, 13, 10] [17, 10] [1, 9, 13, 7, 10] [1, 9, 7, 10] ----------------- = ------------- [17, 13, 10] [17, 10] [1, 15, 13, 6, 5] [1, 15, 6, 5] ----------------- = ------------- [17, 13, 10] [17, 10] [2, 1, 13, 5, 0] [2, 1, 5, 0] ---------------- = ------------ [17, 13, 10] [17, 10] [2, 7, 13, 3, 15] [2, 7, 3, 15] ----------------- = ------------- [17, 13, 10] [17, 10] [2, 13, 13, 2, 10] [2, 13, 2, 10] ------------------ = -------------- [17, 13, 10] [17, 10] [2, 19, 13, 1, 5] [2, 19, 1, 5] ----------------- = ------------- [17, 13, 10] [17, 10] [3, 5, 13, 0, 0] [3, 5, 0, 0] ---------------- = ------------ [17, 13, 10] [17, 10] denominator=, [17, 13, 11] [2, 5, 13, 6, 15] [2, 5, 6, 15] ----------------- = ------------- [17, 13, 11] [17, 11] [3, 13, 13, 2, 10] [3, 13, 2, 10] ------------------ = -------------- [17, 13, 11] [17, 11] denominator=, [17, 13, 12] [1, 18, 13, 10, 0] [1, 18, 10, 0] ------------------ = -------------- [17, 13, 12] [17, 12] [2, 19, 13, 8, 0] [2, 19, 8, 0] ----------------- = ------------- [17, 13, 12] [17, 12] [4, 0, 13, 6, 0] [4, 0, 6, 0] ---------------- = ------------ [17, 13, 12] [17, 12] [6, 2, 13, 2, 0] [6, 2, 2, 0] ---------------- = ------------ [17, 13, 12] [17, 12] [7, 3, 13, 0, 0] [7, 3, 0, 0] ---------------- = ------------ [17, 13, 12] [17, 12] denominator=, [17, 15, 11] [4, 15, 14, 10] [4, 14, 10] --------------- = ----------- [17, 15, 11] [17, 11] [1, 10, 15, 7, 10] [1, 10, 7, 10] ------------------ = -------------- [17, 15, 11] [17, 11] [2, 3, 15, 4, 0] [2, 3, 4, 0] ---------------- = ------------ [17, 15, 11] [17, 11] [2, 16, 15, 0, 10] [2, 16, 0, 10] ------------------ = -------------- [17, 15, 11] [17, 11] denominator=, [17, 17, 0] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [17, 17, 0] [17, 0] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [17, 17, 0] [17, 0] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [17, 17, 0] [17, 0] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [17, 17, 0] [17, 0] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [17, 17, 0] [17, 0] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [17, 17, 0] [17, 0] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [17, 17, 0] [17, 0] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [17, 17, 0] [17, 0] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [17, 17, 0] [17, 0] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [17, 17, 0] [17, 0] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [17, 17, 0] [17, 0] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [17, 17, 0] [17, 0] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [17, 17, 0] [17, 0] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [17, 17, 0] [17, 0] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [17, 17, 0] [17, 0] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [17, 17, 0] [17, 0] denominator=, [17, 18, 1] [18, 18, 0] [18, 0] ----------- = ------- [17, 18, 1] [17, 1] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [17, 18, 1] [17, 1] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [17, 18, 1] [17, 1] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [17, 18, 1] [17, 1] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [17, 18, 1] [17, 1] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [17, 18, 1] [17, 1] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [17, 18, 1] [17, 1] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [17, 18, 1] [17, 1] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [17, 18, 1] [17, 1] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [17, 18, 1] [17, 1] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [17, 18, 1] [17, 1] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [17, 18, 1] [17, 1] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [17, 18, 1] [17, 1] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [17, 18, 1] [17, 1] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [17, 18, 1] [17, 1] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [17, 18, 1] [17, 1] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [17, 18, 1] [17, 1] [18, 18, 0, 0] [18, 0, 0] -------------- = ---------- [17, 18, 1] [17, 1] denominator=, [17, 18, 12] [2, 8, 18, 0, 0] [2, 8, 0, 0] ---------------- = ------------ [17, 18, 12] [17, 12] denominator=, [17, 19, 2] [19, 19, 0] [19, 0] ----------- = ------- [17, 19, 2] [17, 2] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [17, 19, 2] [17, 2] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [17, 19, 2] [17, 2] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [17, 19, 2] [17, 2] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [17, 19, 2] [17, 2] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [17, 19, 2] [17, 2] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [17, 19, 2] [17, 2] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [17, 19, 2] [17, 2] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [17, 19, 2] [17, 2] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [17, 19, 2] [17, 2] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [17, 19, 2] [17, 2] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [17, 19, 2] [17, 2] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [17, 19, 2] [17, 2] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [17, 19, 2] [17, 2] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [17, 19, 2] [17, 2] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [17, 19, 2] [17, 2] [18, 19, 1, 0] [18, 1, 0] -------------- = ---------- [17, 19, 2] [17, 2] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [17, 19, 2] [17, 2] denominator=, [17, 19, 5] [2, 19, 17, 10] [2, 17, 10] --------------- = ----------- [17, 19, 5] [17, 5] [5, 19, 15, 0] [5, 15, 0] -------------- = ---------- [17, 19, 5] [17, 5] [11, 19, 10, 0] [11, 10, 0] --------------- = ----------- [17, 19, 5] [17, 5] [14, 19, 7, 10] [14, 7, 10] --------------- = ----------- [17, 19, 5] [17, 5] [1, 0, 19, 2, 10] [1, 0, 2, 10] ----------------- = ------------- [17, 19, 5] [17, 5] [1, 3, 19, 0, 0] [1, 3, 0, 0] ---------------- = ------------ [17, 19, 5] [17, 5] denominator=, [17, 19, 8] [2, 19, 18, 0] [2, 18, 0] -------------- = ---------- [17, 19, 8] [17, 8] [5, 19, 16, 0] [5, 16, 0] -------------- = ---------- [17, 19, 8] [17, 8] [11, 19, 12, 0] [11, 12, 0] --------------- = ----------- [17, 19, 8] [17, 8] [14, 19, 10, 0] [14, 10, 0] --------------- = ----------- [17, 19, 8] [17, 8] [1, 0, 19, 6, 0] [1, 0, 6, 0] ---------------- = ------------ [17, 19, 8] [17, 8] [1, 3, 19, 4, 0] [1, 3, 4, 0] ---------------- = ------------ [17, 19, 8] [17, 8] [1, 9, 19, 0, 0] [1, 9, 0, 0] ---------------- = ------------ [17, 19, 8] [17, 8] denominator=, [17, 19, 11] [19, 19, 10] [19, 10] ------------ = -------- [17, 19, 11] [17, 11] [1, 19, 19, 0] [1, 19, 0] -------------- = ---------- [17, 19, 11] [17, 11] [2, 19, 18, 10] [2, 18, 10] --------------- = ----------- [17, 19, 11] [17, 11] [3, 19, 18, 0] [3, 18, 0] -------------- = ---------- [17, 19, 11] [17, 11] [4, 19, 17, 10] [4, 17, 10] --------------- = ----------- [17, 19, 11] [17, 11] [5, 19, 17, 0] [5, 17, 0] -------------- = ---------- [17, 19, 11] [17, 11] [6, 19, 16, 10] [6, 16, 10] --------------- = ----------- [17, 19, 11] [17, 11] [7, 19, 16, 0] [7, 16, 0] -------------- = ---------- [17, 19, 11] [17, 11] [9, 19, 15, 0] [9, 15, 0] -------------- = ---------- [17, 19, 11] [17, 11] [10, 19, 14, 10] [10, 14, 10] ---------------- = ------------ [17, 19, 11] [17, 11] [11, 19, 14, 0] [11, 14, 0] --------------- = ----------- [17, 19, 11] [17, 11] [12, 19, 13, 10] [12, 13, 10] ---------------- = ------------ [17, 19, 11] [17, 11] [13, 19, 13, 0] [13, 13, 0] --------------- = ----------- [17, 19, 11] [17, 11] [14, 19, 12, 10] [14, 12, 10] ---------------- = ------------ [17, 19, 11] [17, 11] [15, 19, 12, 0] [15, 12, 0] --------------- = ----------- [17, 19, 11] [17, 11] [16, 19, 11, 10] [16, 11, 10] ---------------- = ------------ [17, 19, 11] [17, 11] [18, 19, 10, 10] [18, 10, 10] ---------------- = ------------ [17, 19, 11] [17, 11] [19, 19, 10, 0] [19, 10, 0] --------------- = ----------- [17, 19, 11] [17, 11] [1, 0, 19, 9, 10] [1, 0, 9, 10] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 1, 19, 9, 0] [1, 1, 9, 0] ---------------- = ------------ [17, 19, 11] [17, 11] [1, 2, 19, 8, 10] [1, 2, 8, 10] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 3, 19, 8, 0] [1, 3, 8, 0] ---------------- = ------------ [17, 19, 11] [17, 11] [1, 4, 19, 7, 10] [1, 4, 7, 10] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 5, 19, 7, 0] [1, 5, 7, 0] ---------------- = ------------ [17, 19, 11] [17, 11] [1, 7, 19, 6, 0] [1, 7, 6, 0] ---------------- = ------------ [17, 19, 11] [17, 11] [1, 8, 19, 5, 10] [1, 8, 5, 10] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 9, 19, 5, 0] [1, 9, 5, 0] ---------------- = ------------ [17, 19, 11] [17, 11] [1, 10, 19, 4, 10] [1, 10, 4, 10] ------------------ = -------------- [17, 19, 11] [17, 11] [1, 11, 19, 4, 0] [1, 11, 4, 0] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 12, 19, 3, 10] [1, 12, 3, 10] ------------------ = -------------- [17, 19, 11] [17, 11] [1, 13, 19, 3, 0] [1, 13, 3, 0] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 14, 19, 2, 10] [1, 14, 2, 10] ------------------ = -------------- [17, 19, 11] [17, 11] [1, 16, 19, 1, 10] [1, 16, 1, 10] ------------------ = -------------- [17, 19, 11] [17, 11] [1, 17, 19, 1, 0] [1, 17, 1, 0] ----------------- = ------------- [17, 19, 11] [17, 11] [1, 18, 19, 0, 10] [1, 18, 0, 10] ------------------ = -------------- [17, 19, 11] [17, 11] [1, 19, 19, 0, 0] [1, 19, 0, 0] ----------------- = ------------- [17, 19, 11] [17, 11] denominator=, [17, 19, 14] [2, 19, 19, 0] [2, 19, 0] -------------- = ---------- [17, 19, 14] [17, 14] [5, 19, 18, 0] [5, 18, 0] -------------- = ---------- [17, 19, 14] [17, 14] [11, 19, 16, 0] [11, 16, 0] --------------- = ----------- [17, 19, 14] [17, 14] [14, 19, 15, 0] [14, 15, 0] --------------- = ----------- [17, 19, 14] [17, 14] [1, 0, 19, 13, 0] [1, 0, 13, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [1, 3, 19, 12, 0] [1, 3, 12, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [1, 9, 19, 10, 0] [1, 9, 10, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [1, 12, 19, 9, 0] [1, 12, 9, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [1, 18, 19, 7, 0] [1, 18, 7, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [2, 1, 19, 6, 0] [2, 1, 6, 0] ---------------- = ------------ [17, 19, 14] [17, 14] [2, 7, 19, 4, 0] [2, 7, 4, 0] ---------------- = ------------ [17, 19, 14] [17, 14] [2, 10, 19, 3, 0] [2, 10, 3, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [2, 16, 19, 1, 0] [2, 16, 1, 0] ----------------- = ------------- [17, 19, 14] [17, 14] [2, 19, 19, 0, 0] [2, 19, 0, 0] ----------------- = ------------- [17, 19, 14] [17, 14] denominator=, [17, 19, 17] [2, 19, 19, 10] [2, 19, 10] --------------- = ----------- [17, 19, 17] [17, 17] [5, 19, 19, 0] [5, 19, 0] -------------- = ---------- [17, 19, 17] [17, 17] [11, 19, 18, 0] [11, 18, 0] --------------- = ----------- [17, 19, 17] [17, 17] [14, 19, 17, 10] [14, 17, 10] ---------------- = ------------ [17, 19, 17] [17, 17] [1, 0, 19, 16, 10] [1, 0, 16, 10] ------------------ = -------------- [17, 19, 17] [17, 17] [1, 3, 19, 16, 0] [1, 3, 16, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [1, 9, 19, 15, 0] [1, 9, 15, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [1, 12, 19, 14, 10] [1, 12, 14, 10] ------------------- = --------------- [17, 19, 17] [17, 17] [1, 18, 19, 13, 10] [1, 18, 13, 10] ------------------- = --------------- [17, 19, 17] [17, 17] [2, 1, 19, 13, 0] [2, 1, 13, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [2, 7, 19, 12, 0] [2, 7, 12, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [2, 10, 19, 11, 10] [2, 10, 11, 10] ------------------- = --------------- [17, 19, 17] [17, 17] [2, 16, 19, 10, 10] [2, 16, 10, 10] ------------------- = --------------- [17, 19, 17] [17, 17] [2, 19, 19, 10, 0] [2, 19, 10, 0] ------------------ = -------------- [17, 19, 17] [17, 17] [3, 5, 19, 9, 0] [3, 5, 9, 0] ---------------- = ------------ [17, 19, 17] [17, 17] [3, 8, 19, 8, 10] [3, 8, 8, 10] ----------------- = ------------- [17, 19, 17] [17, 17] [3, 14, 19, 7, 10] [3, 14, 7, 10] ------------------ = -------------- [17, 19, 17] [17, 17] [3, 17, 19, 7, 0] [3, 17, 7, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [4, 3, 19, 6, 0] [4, 3, 6, 0] ---------------- = ------------ [17, 19, 17] [17, 17] [4, 6, 19, 5, 10] [4, 6, 5, 10] ----------------- = ------------- [17, 19, 17] [17, 17] [4, 12, 19, 4, 10] [4, 12, 4, 10] ------------------ = -------------- [17, 19, 17] [17, 17] [4, 15, 19, 4, 0] [4, 15, 4, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [5, 1, 19, 3, 0] [5, 1, 3, 0] ---------------- = ------------ [17, 19, 17] [17, 17] [5, 4, 19, 2, 10] [5, 4, 2, 10] ----------------- = ------------- [17, 19, 17] [17, 17] [5, 10, 19, 1, 10] [5, 10, 1, 10] ------------------ = -------------- [17, 19, 17] [17, 17] [5, 13, 19, 1, 0] [5, 13, 1, 0] ----------------- = ------------- [17, 19, 17] [17, 17] [5, 19, 19, 0, 0] [5, 19, 0, 0] ----------------- = ------------- [17, 19, 17] [17, 17] denominator=, [18, 2, 2] [3, 1, 2, 1, 15] [3, 1, 1, 15] ---------------- = ------------- [18, 2, 2] [18, 2] [7, 7, 2, 1, 5] [7, 7, 1, 5] --------------- = ------------ [18, 2, 2] [18, 2] [11, 13, 2, 0, 15] [11, 13, 0, 15] ------------------ = --------------- [18, 2, 2] [18, 2] [15, 19, 2, 0, 5] [15, 19, 0, 5] ----------------- = -------------- [18, 2, 2] [18, 2] denominator=, [18, 3, 3] [2, 1, 3, 2, 16] [2, 1, 2, 16] ---------------- = ------------- [18, 3, 3] [18, 3] [3, 4, 3, 2, 12] [3, 4, 2, 12] ---------------- = ------------- [18, 3, 3] [18, 3] [5, 10, 3, 2, 4] [5, 10, 2, 4] ---------------- = ------------- [18, 3, 3] [18, 3] [6, 13, 3, 2, 0] [6, 13, 2, 0] ---------------- = ------------- [18, 3, 3] [18, 3] [8, 19, 3, 1, 12] [8, 19, 1, 12] ----------------- = -------------- [18, 3, 3] [18, 3] [10, 2, 3, 1, 8] [10, 2, 1, 8] ---------------- = ------------- [18, 3, 3] [18, 3] [12, 8, 3, 1, 0] [12, 8, 1, 0] ---------------- = ------------- [18, 3, 3] [18, 3] [13, 11, 3, 0, 16] [13, 11, 0, 16] ------------------ = --------------- [18, 3, 3] [18, 3] [15, 17, 3, 0, 8] [15, 17, 0, 8] ----------------- = -------------- [18, 3, 3] [18, 3] [17, 0, 3, 0, 4] [17, 0, 0, 4] ---------------- = ------------- [18, 3, 3] [18, 3] denominator=, [18, 6, 6] [2, 7, 6, 5, 10] [2, 7, 5, 10] ---------------- = ------------- [18, 6, 6] [18, 6] [3, 16, 6, 5, 0] [3, 16, 5, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [6, 14, 6, 4, 0] [6, 14, 4, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [8, 3, 6, 3, 10] [8, 3, 3, 10] ---------------- = ------------- [18, 6, 6] [18, 6] [11, 1, 6, 2, 10] [11, 1, 2, 10] ----------------- = -------------- [18, 6, 6] [18, 6] [12, 10, 6, 2, 0] [12, 10, 2, 0] ----------------- = -------------- [18, 6, 6] [18, 6] [15, 8, 6, 1, 0] [15, 8, 1, 0] ---------------- = ------------- [18, 6, 6] [18, 6] [16, 17, 6, 0, 10] [16, 17, 0, 10] ------------------ = --------------- [18, 6, 6] [18, 6] denominator=, [18, 8, 0] [4, 8, 6, 8] [4, 6, 8] ------------ = --------- [18, 8, 0] [18, 0] [11, 8, 3, 4] [11, 3, 4] ------------- = ---------- [18, 8, 0] [18, 0] denominator=, [18, 8, 4] [3, 8, 7, 12] [3, 7, 12] ------------- = ---------- [18, 8, 4] [18, 4] [8, 8, 6, 8] [8, 6, 8] ------------ = --------- [18, 8, 4] [18, 4] [13, 8, 5, 4] [13, 5, 4] ------------- = ---------- [18, 8, 4] [18, 4] [1, 3, 8, 2, 16] [1, 3, 2, 16] ---------------- = ------------- [18, 8, 4] [18, 4] [1, 8, 8, 1, 12] [1, 8, 1, 12] ---------------- = ------------- [18, 8, 4] [18, 4] [1, 13, 8, 0, 8] [1, 13, 0, 8] ---------------- = ------------- [18, 8, 4] [18, 4] denominator=, [18, 8, 5] [4, 8, 7, 12] [4, 7, 12] ------------- = ---------- [18, 8, 5] [18, 5] [11, 8, 6, 6] [11, 6, 6] ------------- = ---------- [18, 8, 5] [18, 5] [1, 5, 8, 3, 14] [1, 5, 3, 14] ---------------- = ------------- [18, 8, 5] [18, 5] [1, 12, 8, 2, 8] [1, 12, 2, 8] ---------------- = ------------- [18, 8, 5] [18, 5] [1, 19, 8, 1, 2] [1, 19, 1, 2] ---------------- = ------------- [18, 8, 5] [18, 5] denominator=, [18, 9, 9] [2, 17, 9, 8, 0] [2, 17, 8, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [4, 16, 9, 7, 0] [4, 16, 7, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [6, 15, 9, 6, 0] [6, 15, 6, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [8, 14, 9, 5, 0] [8, 14, 5, 0] ---------------- = ------------- [18, 9, 9] [18, 9] [10, 13, 9, 4, 0] [10, 13, 4, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [12, 12, 9, 3, 0] [12, 12, 3, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [14, 11, 9, 2, 0] [14, 11, 2, 0] ----------------- = -------------- [18, 9, 9] [18, 9] [16, 10, 9, 1, 0] [16, 10, 1, 0] ----------------- = -------------- [18, 9, 9] [18, 9] denominator=, [18, 10, 0] [7, 10, 6, 5] [7, 6, 5] ------------- = --------- [18, 10, 0] [18, 0] denominator=, [18, 10, 3] [2, 10, 9, 10] [2, 9, 10] -------------- = ---------- [18, 10, 3] [18, 3] [10, 10, 6, 5] [10, 6, 5] -------------- = ---------- [18, 10, 3] [18, 3] denominator=, [18, 10, 8] [7, 10, 9, 10] [7, 9, 10] -------------- = ---------- [18, 10, 8] [18, 8] [1, 9, 10, 6, 10] [1, 9, 6, 10] ----------------- = ------------- [18, 10, 8] [18, 8] [2, 0, 10, 5, 0] [2, 0, 5, 0] ---------------- = ------------ [18, 10, 8] [18, 8] [2, 11, 10, 3, 10] [2, 11, 3, 10] ------------------ = -------------- [18, 10, 8] [18, 8] [3, 2, 10, 2, 0] [3, 2, 2, 0] ---------------- = ------------ [18, 10, 8] [18, 8] [3, 13, 10, 0, 10] [3, 13, 0, 10] ------------------ = -------------- [18, 10, 8] [18, 8] denominator=, [18, 10, 10] [3, 2, 10, 8, 15] [3, 2, 8, 15] ----------------- = ------------- [18, 10, 10] [18, 10] [7, 10, 10, 6, 5] [7, 10, 6, 5] ----------------- = ------------- [18, 10, 10] [18, 10] [11, 18, 10, 3, 15] [11, 18, 3, 15] ------------------- = --------------- [18, 10, 10] [18, 10] [16, 6, 10, 1, 5] [16, 6, 1, 5] ----------------- = ------------- [18, 10, 10] [18, 10] denominator=, [18, 12, 12] [3, 17, 12, 10, 0] [3, 17, 10, 0] ------------------ = -------------- [18, 12, 12] [18, 12] [6, 16, 12, 8, 0] [6, 16, 8, 0] ----------------- = ------------- [18, 12, 12] [18, 12] [12, 14, 12, 4, 0] [12, 14, 4, 0] ------------------ = -------------- [18, 12, 12] [18, 12] [15, 13, 12, 2, 0] [15, 13, 2, 0] ------------------ = -------------- [18, 12, 12] [18, 12] denominator=, [18, 15, 14] [1, 19, 15, 12, 0] [1, 19, 12, 0] ------------------ = -------------- [18, 15, 14] [18, 14] [3, 0, 15, 10, 0] [3, 0, 10, 0] ----------------- = ------------- [18, 15, 14] [18, 14] [4, 1, 15, 8, 0] [4, 1, 8, 0] ---------------- = ------------ [18, 15, 14] [18, 14] [5, 2, 15, 6, 0] [5, 2, 6, 0] ---------------- = ------------ [18, 15, 14] [18, 14] [6, 3, 15, 4, 0] [6, 3, 4, 0] ---------------- = ------------ [18, 15, 14] [18, 14] [7, 4, 15, 2, 0] [7, 4, 2, 0] ---------------- = ------------ [18, 15, 14] [18, 14] [8, 5, 15, 0, 0] [8, 5, 0, 0] ---------------- = ------------ [18, 15, 14] [18, 14] denominator=, [18, 15, 15] [6, 17, 15, 10, 0] [6, 17, 10, 0] ------------------ = -------------- [18, 15, 15] [18, 15] [12, 16, 15, 5, 0] [12, 16, 5, 0] ------------------ = -------------- [18, 15, 15] [18, 15] denominator=, [18, 18, 0] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [18, 18, 0] [18, 0] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [18, 18, 0] [18, 0] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [18, 18, 0] [18, 0] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [18, 18, 0] [18, 0] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [18, 18, 0] [18, 0] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [18, 18, 0] [18, 0] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [18, 18, 0] [18, 0] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [18, 18, 0] [18, 0] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [18, 18, 0] [18, 0] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [18, 18, 0] [18, 0] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [18, 18, 0] [18, 0] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [18, 18, 0] [18, 0] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [18, 18, 0] [18, 0] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [18, 18, 0] [18, 0] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [18, 18, 0] [18, 0] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [18, 18, 0] [18, 0] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [18, 18, 0] [18, 0] denominator=, [18, 18, 2] [9, 18, 10, 1] [9, 10, 1] -------------- = ---------- [18, 18, 2] [18, 2] denominator=, [18, 18, 3] [6, 18, 13, 2] [6, 13, 2] -------------- = ---------- [18, 18, 3] [18, 3] [12, 18, 8, 1] [12, 8, 1] -------------- = ---------- [18, 18, 3] [18, 3] denominator=, [18, 18, 4] [9, 18, 11, 2] [9, 11, 2] -------------- = ---------- [18, 18, 4] [18, 4] denominator=, [18, 18, 6] [3, 18, 16, 5] [3, 16, 5] -------------- = ---------- [18, 18, 6] [18, 6] [6, 18, 14, 4] [6, 14, 4] -------------- = ---------- [18, 18, 6] [18, 6] [9, 18, 12, 3] [9, 12, 3] -------------- = ---------- [18, 18, 6] [18, 6] [12, 18, 10, 2] [12, 10, 2] --------------- = ----------- [18, 18, 6] [18, 6] [15, 18, 8, 1] [15, 8, 1] -------------- = ---------- [18, 18, 6] [18, 6] [1, 1, 18, 3, 19] [1, 1, 3, 19] ----------------- = ------------- [18, 18, 6] [18, 6] [1, 4, 18, 1, 18] [1, 4, 1, 18] ----------------- = ------------- [18, 18, 6] [18, 6] denominator=, [18, 18, 8] [9, 18, 13, 4] [9, 13, 4] -------------- = ---------- [18, 18, 8] [18, 8] [1, 7, 18, 2, 16] [1, 7, 2, 16] ----------------- = ------------- [18, 18, 8] [18, 8] denominator=, [18, 18, 9] [2, 18, 17, 8] [2, 17, 8] -------------- = ---------- [18, 18, 9] [18, 9] [4, 18, 16, 7] [4, 16, 7] -------------- = ---------- [18, 18, 9] [18, 9] [6, 18, 15, 6] [6, 15, 6] -------------- = ---------- [18, 18, 9] [18, 9] [8, 18, 14, 5] [8, 14, 5] -------------- = ---------- [18, 18, 9] [18, 9] [10, 18, 13, 4] [10, 13, 4] --------------- = ----------- [18, 18, 9] [18, 9] [12, 18, 12, 3] [12, 12, 3] --------------- = ----------- [18, 18, 9] [18, 9] [14, 18, 11, 2] [14, 11, 2] --------------- = ----------- [18, 18, 9] [18, 9] [16, 18, 10, 1] [16, 10, 1] --------------- = ----------- [18, 18, 9] [18, 9] [1, 0, 18, 7, 19] [1, 0, 7, 19] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 2, 18, 6, 18] [1, 2, 6, 18] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 4, 18, 5, 17] [1, 4, 5, 17] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 6, 18, 4, 16] [1, 6, 4, 16] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 8, 18, 3, 15] [1, 8, 3, 15] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 10, 18, 2, 14] [1, 10, 2, 14] ------------------ = -------------- [18, 18, 9] [18, 9] [1, 12, 18, 1, 13] [1, 12, 1, 13] ------------------ = -------------- [18, 18, 9] [18, 9] [1, 14, 18, 0, 12] [1, 14, 0, 12] ------------------ = -------------- [18, 18, 9] [18, 9] denominator=, [18, 18, 10] [9, 18, 14, 5] [9, 14, 5] -------------- = ---------- [18, 18, 10] [18, 10] [1, 7, 18, 5, 15] [1, 7, 5, 15] ----------------- = ------------- [18, 18, 10] [18, 10] denominator=, [18, 18, 12] [3, 18, 17, 10] [3, 17, 10] --------------- = ----------- [18, 18, 12] [18, 12] [6, 18, 16, 8] [6, 16, 8] -------------- = ---------- [18, 18, 12] [18, 12] [9, 18, 15, 6] [9, 15, 6] -------------- = ---------- [18, 18, 12] [18, 12] [12, 18, 14, 4] [12, 14, 4] --------------- = ----------- [18, 18, 12] [18, 12] [15, 18, 13, 2] [15, 13, 2] --------------- = ----------- [18, 18, 12] [18, 12] [1, 1, 18, 10, 18] [1, 1, 10, 18] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 4, 18, 9, 16] [1, 4, 9, 16] ----------------- = ------------- [18, 18, 12] [18, 12] [1, 7, 18, 8, 14] [1, 7, 8, 14] ----------------- = ------------- [18, 18, 12] [18, 12] [1, 10, 18, 7, 12] [1, 10, 7, 12] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 13, 18, 6, 10] [1, 13, 6, 10] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 19, 18, 4, 6] [1, 19, 4, 6] ----------------- = ------------- [18, 18, 12] [18, 12] [2, 2, 18, 3, 4] [2, 2, 3, 4] ---------------- = ------------ [18, 18, 12] [18, 12] [2, 5, 18, 2, 2] [2, 5, 2, 2] ---------------- = ------------ [18, 18, 12] [18, 12] [2, 8, 18, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [18, 18, 12] [18, 12] denominator=, [18, 18, 14] [9, 18, 16, 7] [9, 16, 7] -------------- = ---------- [18, 18, 14] [18, 14] [1, 7, 18, 11, 13] [1, 7, 11, 13] ------------------ = -------------- [18, 18, 14] [18, 14] [2, 5, 18, 6, 19] [2, 5, 6, 19] ----------------- = ------------- [18, 18, 14] [18, 14] [3, 3, 18, 2, 5] [3, 3, 2, 5] ---------------- = ------------ [18, 18, 14] [18, 14] denominator=, [18, 18, 15] [6, 18, 17, 10] [6, 17, 10] --------------- = ----------- [18, 18, 15] [18, 15] [12, 18, 16, 5] [12, 16, 5] --------------- = ----------- [18, 18, 15] [18, 15] [1, 4, 18, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [18, 18, 15] [18, 15] [1, 10, 18, 12, 10] [1, 10, 12, 10] ------------------- = --------------- [18, 18, 15] [18, 15] [2, 2, 18, 10, 0] [2, 2, 10, 0] ----------------- = ------------- [18, 18, 15] [18, 15] [2, 8, 18, 8, 15] [2, 8, 8, 15] ----------------- = ------------- [18, 18, 15] [18, 15] [3, 0, 18, 6, 5] [3, 0, 6, 5] ---------------- = ------------ [18, 18, 15] [18, 15] [3, 6, 18, 5, 0] [3, 6, 5, 0] ---------------- = ------------ [18, 18, 15] [18, 15] [3, 18, 18, 2, 10] [3, 18, 2, 10] ------------------ = -------------- [18, 18, 15] [18, 15] [4, 4, 18, 1, 5] [4, 4, 1, 5] ---------------- = ------------ [18, 18, 15] [18, 15] denominator=, [18, 18, 16] [9, 18, 17, 8] [9, 17, 8] -------------- = ---------- [18, 18, 16] [18, 16] [1, 7, 18, 14, 12] [1, 7, 14, 12] ------------------ = -------------- [18, 18, 16] [18, 16] [2, 5, 18, 11, 16] [2, 5, 11, 16] ------------------ = -------------- [18, 18, 16] [18, 16] [3, 3, 18, 9, 0] [3, 3, 9, 0] ---------------- = ------------ [18, 18, 16] [18, 16] [4, 1, 18, 6, 4] [4, 1, 6, 4] ---------------- = ------------ [18, 18, 16] [18, 16] [4, 19, 18, 3, 8] [4, 19, 3, 8] ----------------- = ------------- [18, 18, 16] [18, 16] [5, 17, 18, 0, 12] [5, 17, 0, 12] ------------------ = -------------- [18, 18, 16] [18, 16] denominator=, [18, 19, 1] [19, 19, 0] [19, 0] ----------- = ------- [18, 19, 1] [18, 1] [1, 19, 18, 0] [1, 18, 0] -------------- = ---------- [18, 19, 1] [18, 1] [2, 19, 17, 0] [2, 17, 0] -------------- = ---------- [18, 19, 1] [18, 1] [3, 19, 16, 0] [3, 16, 0] -------------- = ---------- [18, 19, 1] [18, 1] [4, 19, 15, 0] [4, 15, 0] -------------- = ---------- [18, 19, 1] [18, 1] [5, 19, 14, 0] [5, 14, 0] -------------- = ---------- [18, 19, 1] [18, 1] [6, 19, 13, 0] [6, 13, 0] -------------- = ---------- [18, 19, 1] [18, 1] [7, 19, 12, 0] [7, 12, 0] -------------- = ---------- [18, 19, 1] [18, 1] [8, 19, 11, 0] [8, 11, 0] -------------- = ---------- [18, 19, 1] [18, 1] [9, 19, 10, 0] [9, 10, 0] -------------- = ---------- [18, 19, 1] [18, 1] [10, 19, 9, 0] [10, 9, 0] -------------- = ---------- [18, 19, 1] [18, 1] [11, 19, 8, 0] [11, 8, 0] -------------- = ---------- [18, 19, 1] [18, 1] [12, 19, 7, 0] [12, 7, 0] -------------- = ---------- [18, 19, 1] [18, 1] [13, 19, 6, 0] [13, 6, 0] -------------- = ---------- [18, 19, 1] [18, 1] [14, 19, 5, 0] [14, 5, 0] -------------- = ---------- [18, 19, 1] [18, 1] [15, 19, 4, 0] [15, 4, 0] -------------- = ---------- [18, 19, 1] [18, 1] [16, 19, 3, 0] [16, 3, 0] -------------- = ---------- [18, 19, 1] [18, 1] [17, 19, 2, 0] [17, 2, 0] -------------- = ---------- [18, 19, 1] [18, 1] [19, 19, 0, 0] [19, 0, 0] -------------- = ---------- [18, 19, 1] [18, 1] denominator=, [19, 5, 4] [4, 0, 5, 0, 0] [4, 0, 0, 0] --------------- = ------------ [19, 5, 4] [19, 4] denominator=, [19, 7, 4] [2, 2, 7, 0, 0] [2, 2, 0, 0] --------------- = ------------ [19, 7, 4] [19, 4] denominator=, [19, 7, 6] [3, 5, 7, 2, 15] [3, 5, 2, 15] ---------------- = ------------- [19, 7, 6] [19, 6] denominator=, [19, 8, 7] [3, 0, 8, 4, 0] [3, 0, 4, 0] --------------- = ------------ [19, 8, 7] [19, 7] [5, 1, 8, 1, 0] [5, 1, 1, 0] --------------- = ------------ [19, 8, 7] [19, 7] denominator=, [19, 11, 10] [2, 10, 11, 7, 10] [2, 10, 7, 10] ------------------ = -------------- [19, 11, 10] [19, 10] [4, 1, 11, 5, 0] [4, 1, 5, 0] ---------------- = ------------ [19, 11, 10] [19, 10] [7, 3, 11, 0, 0] [7, 3, 0, 0] ---------------- = ------------ [19, 11, 10] [19, 10] denominator=, [19, 13, 5] [2, 13, 12, 10] [2, 12, 10] --------------- = ----------- [19, 13, 5] [19, 5] denominator=, [19, 13, 11] [8, 13, 12, 10] [8, 12, 10] --------------- = ----------- [19, 13, 11] [19, 11] [1, 10, 13, 9, 10] [1, 10, 9, 10] ------------------ = -------------- [19, 13, 11] [19, 11] [2, 1, 13, 8, 0] [2, 1, 8, 0] ---------------- = ------------ [19, 13, 11] [19, 11] [2, 12, 13, 6, 10] [2, 12, 6, 10] ------------------ = -------------- [19, 13, 11] [19, 11] [3, 3, 13, 5, 0] [3, 3, 5, 0] ---------------- = ------------ [19, 13, 11] [19, 11] [3, 14, 13, 3, 10] [3, 14, 3, 10] ------------------ = -------------- [19, 13, 11] [19, 11] [4, 5, 13, 2, 0] [4, 5, 2, 0] ---------------- = ------------ [19, 13, 11] [19, 11] [4, 16, 13, 0, 10] [4, 16, 0, 10] ------------------ = -------------- [19, 13, 11] [19, 11] denominator=, [19, 14, 0] [4, 14, 11, 4] [4, 11, 4] -------------- = ---------- [19, 14, 0] [19, 0] denominator=, [19, 14, 5] [4, 14, 12, 8] [4, 12, 8] -------------- = ---------- [19, 14, 5] [19, 5] denominator=, [19, 14, 10] [4, 14, 13, 12] [4, 13, 12] --------------- = ----------- [19, 14, 10] [19, 10] [9, 14, 12, 8] [9, 12, 8] -------------- = ---------- [19, 14, 10] [19, 10] [14, 14, 11, 4] [14, 11, 4] --------------- = ----------- [19, 14, 10] [19, 10] [1, 4, 14, 8, 16] [1, 4, 8, 16] ----------------- = ------------- [19, 14, 10] [19, 10] [1, 9, 14, 7, 12] [1, 9, 7, 12] ----------------- = ------------- [19, 14, 10] [19, 10] [1, 14, 14, 6, 8] [1, 14, 6, 8] ----------------- = ------------- [19, 14, 10] [19, 10] [1, 19, 14, 5, 4] [1, 19, 5, 4] ----------------- = ------------- [19, 14, 10] [19, 10] [2, 4, 14, 4, 0] [2, 4, 4, 0] ---------------- = ------------ [19, 14, 10] [19, 10] [2, 9, 14, 2, 16] [2, 9, 2, 16] ----------------- = ------------- [19, 14, 10] [19, 10] [2, 14, 14, 1, 12] [2, 14, 1, 12] ------------------ = -------------- [19, 14, 10] [19, 10] [2, 19, 14, 0, 8] [2, 19, 0, 8] ----------------- = ------------- [19, 14, 10] [19, 10] denominator=, [19, 14, 13] [2, 4, 14, 10, 16] [2, 4, 10, 16] ------------------ = -------------- [19, 14, 13] [19, 13] [3, 9, 14, 8, 12] [3, 9, 8, 12] ----------------- = ------------- [19, 14, 13] [19, 13] [5, 19, 14, 4, 4] [5, 19, 4, 4] ----------------- = ------------- [19, 14, 13] [19, 13] [7, 4, 14, 2, 0] [7, 4, 2, 0] ---------------- = ------------ [19, 14, 13] [19, 13] denominator=, [19, 15, 12] [3, 6, 15, 3, 0] [3, 6, 3, 0] ---------------- = ------------ [19, 15, 12] [19, 12] denominator=, [19, 15, 14] [3, 6, 15, 9, 15] [3, 6, 9, 15] ----------------- = ------------- [19, 15, 14] [19, 14] [8, 0, 15, 1, 5] [8, 0, 1, 5] ---------------- = ------------ [19, 15, 14] [19, 14] denominator=, [19, 16, 10] [2, 8, 16, 0, 0] [2, 8, 0, 0] ---------------- = ------------ [19, 16, 10] [19, 10] denominator=, [19, 17, 12] [2, 6, 17, 4, 0] [2, 6, 4, 0] ---------------- = ------------ [19, 17, 12] [19, 12] denominator=, [19, 17, 16] [2, 0, 17, 14, 0] [2, 0, 14, 0] ----------------- = ------------- [19, 17, 16] [19, 16] [3, 1, 17, 12, 0] [3, 1, 12, 0] ----------------- = ------------- [19, 17, 16] [19, 16] [4, 2, 17, 10, 0] [4, 2, 10, 0] ----------------- = ------------- [19, 17, 16] [19, 16] [5, 3, 17, 8, 0] [5, 3, 8, 0] ---------------- = ------------ [19, 17, 16] [19, 16] [6, 4, 17, 6, 0] [6, 4, 6, 0] ---------------- = ------------ [19, 17, 16] [19, 16] [7, 5, 17, 4, 0] [7, 5, 4, 0] ---------------- = ------------ [19, 17, 16] [19, 16] [8, 6, 17, 2, 0] [8, 6, 2, 0] ---------------- = ------------ [19, 17, 16] [19, 16] [9, 7, 17, 0, 0] [9, 7, 0, 0] ---------------- = ------------ [19, 17, 16] [19, 16] ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 1, 0] [1, 1] [1] --------- = ------ [1, 1, 0] [1, 0] denominator=, [2, 2, 0] [2, 2] [2] --------- = ------ [2, 2, 0] [2, 0] denominator=, [3, 3, 0] [3, 3] [3] --------- = ------ [3, 3, 0] [3, 0] denominator=, [4, 4, 0] [4, 4] [4] --------- = ------ [4, 4, 0] [4, 0] denominator=, [5, 5, 0] [5, 5] [5] --------- = ------ [5, 5, 0] [5, 0] denominator=, [6, 4, 16] [1, 6] [1] ---------- = ------- [6, 4, 16] [4, 16] denominator=, [6, 6, 0] [6, 6] [6] --------- = ------ [6, 6, 0] [6, 0] denominator=, [6, 6, 5] [1, 10, 6] [1, 10] ---------- = ------- [6, 6, 5] [6, 5] denominator=, [7, 7, 0] [7, 7] [7] --------- = ------ [7, 7, 0] [7, 0] denominator=, [8, 8, 0] [8, 8] [8] --------- = ------ [8, 8, 0] [8, 0] denominator=, [9, 9, 0] [9, 9] [9] --------- = ------ [9, 9, 0] [9, 0] denominator=, [10, 10, 0] [10, 10] [10] ----------- = ------- [10, 10, 0] [10, 0] denominator=, [11, 11, 0] [11, 11] [11] ----------- = ------- [11, 11, 0] [11, 0] denominator=, [12, 9, 12] [2, 12] [2] ----------- = ------- [12, 9, 12] [9, 12] denominator=, [12, 12, 0] [12, 12] [12] ----------- = ------- [12, 12, 0] [12, 0] denominator=, [12, 12, 10] [3, 0, 12] [3, 0] ------------ = -------- [12, 12, 10] [12, 10] denominator=, [13, 13, 0] [13, 13] [13] ----------- = ------- [13, 13, 0] [13, 0] denominator=, [14, 14, 0] [14, 14] [14] ----------- = ------- [14, 14, 0] [14, 0] denominator=, [15, 12, 10] [3, 15] [3] ------------ = -------- [15, 12, 10] [12, 10] denominator=, [15, 15, 0] [15, 15] [15] ----------- = ------- [15, 15, 0] [15, 0] denominator=, [15, 15, 12] [3, 5, 15] [3, 5] ------------ = -------- [15, 15, 12] [15, 12] denominator=, [16, 16, 0] [16, 16] [16] ----------- = ------- [16, 16, 0] [16, 0] denominator=, [17, 17, 0] [17, 17] [17] ----------- = ------- [17, 17, 0] [17, 0] denominator=, [18, 14, 8] [3, 18] [3] ----------- = ------- [18, 14, 8] [14, 8] denominator=, [18, 18, 0] [18, 18] [18] ----------- = ------- [18, 18, 0] [18, 0] denominator=, [18, 18, 15] [4, 10, 18] [4, 10] ------------ = -------- [18, 18, 15] [18, 15] denominator=, [19, 10, 0] [1, 19] [1] ----------- = ------- [19, 10, 0] [10, 0] denominator=, [19, 15, 0] [3, 19] [3] ----------- = ------- [19, 15, 0] [15, 0] denominator=, [19, 16, 0] [4, 19] [4] ----------- = ------- [19, 16, 0] [16, 0] denominator=, [19, 17, 10] [7, 19] [7] ------------ = -------- [19, 17, 10] [17, 10] denominator=, [19, 18, 0] [9, 19] [9] ----------- = ------- [19, 18, 0] [18, 0] denominator=, [19, 18, 15] [15, 19] [15] ------------ = -------- [19, 18, 15] [18, 15] denominator=, [19, 19, 0] [19, 19] [19] ----------- = ------- [19, 19, 0] [19, 0] denominator=, [19, 19, 4] [1, 4, 19] [1, 4] ----------- = ------- [19, 19, 4] [19, 4] denominator=, [19, 19, 10] [1, 19, 19] [1, 19] ------------ = -------- [19, 19, 10] [19, 10] denominator=, [19, 19, 12] [2, 9, 19] [2, 9] ------------ = -------- [19, 19, 12] [19, 12] denominator=, [19, 19, 15] [3, 19, 19] [3, 19] ------------ = -------- [19, 19, 15] [19, 15] denominator=, [19, 19, 16] [4, 19, 19] [4, 19] ------------ = -------- [19, 19, 16] [19, 16] denominator=, [19, 19, 18] [9, 19, 19] [9, 19] ------------ = -------- [19, 19, 18] [19, 18] ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [1, 2, 0] [1, 2] [2] --------- = ------ [1, 2, 0] [2, 0] denominator=, [1, 3, 0] [1, 3] [3] --------- = ------ [1, 3, 0] [3, 0] denominator=, [1, 4, 0] [1, 4] [4] --------- = ------ [1, 4, 0] [4, 0] denominator=, [1, 5, 0] [1, 5] [5] --------- = ------ [1, 5, 0] [5, 0] denominator=, [1, 6, 0] [1, 6] [6] --------- = ------ [1, 6, 0] [6, 0] denominator=, [1, 7, 0] [1, 7] [7] --------- = ------ [1, 7, 0] [7, 0] denominator=, [1, 8, 0] [1, 8] [8] --------- = ------ [1, 8, 0] [8, 0] denominator=, [1, 9, 0] [1, 9] [9] --------- = ------ [1, 9, 0] [9, 0] denominator=, [1, 10, 0] [1, 10] [10] ---------- = ------- [1, 10, 0] [10, 0] denominator=, [1, 11, 0] [1, 11] [11] ---------- = ------- [1, 11, 0] [11, 0] denominator=, [1, 12, 0] [1, 12] [12] ---------- = ------- [1, 12, 0] [12, 0] denominator=, [1, 13, 0] [1, 13] [13] ---------- = ------- [1, 13, 0] [13, 0] denominator=, [1, 14, 0] [1, 14] [14] ---------- = ------- [1, 14, 0] [14, 0] denominator=, [1, 15, 0] [1, 15] [15] ---------- = ------- [1, 15, 0] [15, 0] denominator=, [1, 16, 0] [1, 16] [16] ---------- = ------- [1, 16, 0] [16, 0] denominator=, [1, 17, 0] [1, 17] [17] ---------- = ------- [1, 17, 0] [17, 0] denominator=, [1, 18, 0] [1, 18] [18] ---------- = ------- [1, 18, 0] [18, 0] denominator=, [1, 19, 0] [1, 19] [19] ---------- = ------- [1, 19, 0] [19, 0] denominator=, [2, 1, 0] [2, 1] [1] --------- = ------ [2, 1, 0] [1, 0] denominator=, [2, 2, 2] [1, 2, 2, 1] [1, 2, 1] ------------ = --------- [2, 2, 2] [2, 2] denominator=, [2, 4, 0] [2, 4] [4] --------- = ------ [2, 4, 0] [4, 0] denominator=, [2, 6, 0] [2, 6] [6] --------- = ------ [2, 6, 0] [6, 0] denominator=, [2, 8, 0] [2, 8] [8] --------- = ------ [2, 8, 0] [8, 0] denominator=, [2, 10, 0] [2, 10] [10] ---------- = ------- [2, 10, 0] [10, 0] denominator=, [2, 12, 0] [2, 12] [12] ---------- = ------- [2, 12, 0] [12, 0] denominator=, [2, 14, 0] [2, 14] [14] ---------- = ------- [2, 14, 0] [14, 0] denominator=, [2, 16, 0] [2, 16] [16] ---------- = ------- [2, 16, 0] [16, 0] denominator=, [2, 18, 0] [2, 18] [18] ---------- = ------- [2, 18, 0] [18, 0] denominator=, [3, 1, 0] [3, 1] [1] --------- = ------ [3, 1, 0] [1, 0] denominator=, [3, 2, 0] [3, 2] [2] --------- = ------ [3, 2, 0] [2, 0] denominator=, [3, 3, 3] [1, 3, 3, 2] [1, 3, 2] ------------ = --------- [3, 3, 3] [3, 3] [2, 3, 3, 1] [2, 3, 1] ------------ = --------- [3, 3, 3] [3, 3] denominator=, [3, 6, 0] [3, 6] [6] --------- = ------ [3, 6, 0] [6, 0] denominator=, [3, 9, 0] [3, 9] [9] --------- = ------ [3, 9, 0] [9, 0] denominator=, [3, 12, 0] [3, 12] [12] ---------- = ------- [3, 12, 0] [12, 0] denominator=, [3, 15, 0] [3, 15] [15] ---------- = ------- [3, 15, 0] [15, 0] denominator=, [3, 18, 0] [3, 18] [18] ---------- = ------- [3, 18, 0] [18, 0] denominator=, [4, 1, 0] [4, 1] [1] --------- = ------ [4, 1, 0] [1, 0] denominator=, [4, 2, 0] [4, 2] [2] --------- = ------ [4, 2, 0] [2, 0] denominator=, [4, 3, 0] [4, 3] [3] --------- = ------ [4, 3, 0] [3, 0] denominator=, [4, 4, 4] [1, 4, 4, 3] [1, 4, 3] ------------ = --------- [4, 4, 4] [4, 4] [2, 4, 4, 2] [2, 4, 2] ------------ = --------- [4, 4, 4] [4, 4] [3, 4, 4, 1] [3, 4, 1] ------------ = --------- [4, 4, 4] [4, 4] denominator=, [4, 8, 0] [4, 8] [8] --------- = ------ [4, 8, 0] [8, 0] denominator=, [4, 12, 0] [4, 12] [12] ---------- = ------- [4, 12, 0] [12, 0] denominator=, [4, 16, 0] [4, 16] [16] ---------- = ------- [4, 16, 0] [16, 0] denominator=, [5, 1, 0] [5, 1] [1] --------- = ------ [5, 1, 0] [1, 0] denominator=, [5, 2, 0] [5, 2] [2] --------- = ------ [5, 2, 0] [2, 0] denominator=, [5, 3, 0] [5, 3] [3] --------- = ------ [5, 3, 0] [3, 0] denominator=, [5, 4, 0] [5, 4] [4] --------- = ------ [5, 4, 0] [4, 0] denominator=, [5, 5, 5] [1, 5, 5, 4] [1, 5, 4] ------------ = --------- [5, 5, 5] [5, 5] [2, 5, 5, 3] [2, 5, 3] ------------ = --------- [5, 5, 5] [5, 5] [3, 5, 5, 2] [3, 5, 2] ------------ = --------- [5, 5, 5] [5, 5] [4, 5, 5, 1] [4, 5, 1] ------------ = --------- [5, 5, 5] [5, 5] denominator=, [5, 10, 0] [5, 10] [10] ---------- = ------- [5, 10, 0] [10, 0] denominator=, [5, 15, 0] [5, 15] [15] ---------- = ------- [5, 15, 0] [15, 0] denominator=, [6, 1, 0] [6, 1] [1] --------- = ------ [6, 1, 0] [1, 0] denominator=, [6, 2, 0] [6, 2] [2] --------- = ------ [6, 2, 0] [2, 0] denominator=, [6, 3, 0] [6, 3] [3] --------- = ------ [6, 3, 0] [3, 0] denominator=, [6, 4, 0] [6, 4] [4] --------- = ------ [6, 4, 0] [4, 0] denominator=, [6, 4, 16] [1, 6, 0] [1, 0] ---------- = ------- [6, 4, 16] [4, 16] denominator=, [6, 5, 0] [6, 5] [5] --------- = ------ [6, 5, 0] [5, 0] denominator=, [6, 6, 5] [1, 10, 6, 0] [1, 10, 0] ------------- = ---------- [6, 6, 5] [6, 5] denominator=, [6, 6, 6] [1, 6, 6, 5] [1, 6, 5] ------------ = --------- [6, 6, 6] [6, 6] [2, 6, 6, 4] [2, 6, 4] ------------ = --------- [6, 6, 6] [6, 6] [3, 6, 6, 3] [3, 6, 3] ------------ = --------- [6, 6, 6] [6, 6] [4, 6, 6, 2] [4, 6, 2] ------------ = --------- [6, 6, 6] [6, 6] [5, 6, 6, 1] [5, 6, 1] ------------ = --------- [6, 6, 6] [6, 6] denominator=, [6, 12, 0] [6, 12] [12] ---------- = ------- [6, 12, 0] [12, 0] denominator=, [6, 18, 0] [6, 18] [18] ---------- = ------- [6, 18, 0] [18, 0] denominator=, [7, 1, 0] [7, 1] [1] --------- = ------ [7, 1, 0] [1, 0] denominator=, [7, 2, 0] [7, 2] [2] --------- = ------ [7, 2, 0] [2, 0] denominator=, [7, 3, 0] [7, 3] [3] --------- = ------ [7, 3, 0] [3, 0] denominator=, [7, 4, 0] [7, 4] [4] --------- = ------ [7, 4, 0] [4, 0] denominator=, [7, 5, 0] [7, 5] [5] --------- = ------ [7, 5, 0] [5, 0] denominator=, [7, 6, 0] [7, 6] [6] --------- = ------ [7, 6, 0] [6, 0] denominator=, [7, 7, 7] [1, 7, 7, 6] [1, 7, 6] ------------ = --------- [7, 7, 7] [7, 7] [2, 7, 7, 5] [2, 7, 5] ------------ = --------- [7, 7, 7] [7, 7] [3, 7, 7, 4] [3, 7, 4] ------------ = --------- [7, 7, 7] [7, 7] [4, 7, 7, 3] [4, 7, 3] ------------ = --------- [7, 7, 7] [7, 7] [5, 7, 7, 2] [5, 7, 2] ------------ = --------- [7, 7, 7] [7, 7] [6, 7, 7, 1] [6, 7, 1] ------------ = --------- [7, 7, 7] [7, 7] denominator=, [7, 14, 0] [7, 14] [14] ---------- = ------- [7, 14, 0] [14, 0] denominator=, [8, 1, 0] [8, 1] [1] --------- = ------ [8, 1, 0] [1, 0] denominator=, [8, 2, 0] [8, 2] [2] --------- = ------ [8, 2, 0] [2, 0] denominator=, [8, 3, 0] [8, 3] [3] --------- = ------ [8, 3, 0] [3, 0] denominator=, [8, 4, 0] [8, 4] [4] --------- = ------ [8, 4, 0] [4, 0] denominator=, [8, 5, 0] [8, 5] [5] --------- = ------ [8, 5, 0] [5, 0] denominator=, [8, 6, 0] [8, 6] [6] --------- = ------ [8, 6, 0] [6, 0] denominator=, [8, 7, 0] [8, 7] [7] --------- = ------ [8, 7, 0] [7, 0] denominator=, [8, 8, 8] [1, 8, 8, 7] [1, 8, 7] ------------ = --------- [8, 8, 8] [8, 8] [2, 8, 8, 6] [2, 8, 6] ------------ = --------- [8, 8, 8] [8, 8] [3, 8, 8, 5] [3, 8, 5] ------------ = --------- [8, 8, 8] [8, 8] [4, 8, 8, 4] [4, 8, 4] ------------ = --------- [8, 8, 8] [8, 8] [5, 8, 8, 3] [5, 8, 3] ------------ = --------- [8, 8, 8] [8, 8] [6, 8, 8, 2] [6, 8, 2] ------------ = --------- [8, 8, 8] [8, 8] [7, 8, 8, 1] [7, 8, 1] ------------ = --------- [8, 8, 8] [8, 8] denominator=, [8, 16, 0] [8, 16] [16] ---------- = ------- [8, 16, 0] [16, 0] denominator=, [9, 1, 0] [9, 1] [1] --------- = ------ [9, 1, 0] [1, 0] denominator=, [9, 2, 0] [9, 2] [2] --------- = ------ [9, 2, 0] [2, 0] denominator=, [9, 3, 0] [9, 3] [3] --------- = ------ [9, 3, 0] [3, 0] denominator=, [9, 4, 0] [9, 4] [4] --------- = ------ [9, 4, 0] [4, 0] denominator=, [9, 5, 0] [9, 5] [5] --------- = ------ [9, 5, 0] [5, 0] denominator=, [9, 6, 0] [9, 6] [6] --------- = ------ [9, 6, 0] [6, 0] denominator=, [9, 6, 15] [1, 9, 1] [1, 1] ---------- = ------- [9, 6, 15] [6, 15] denominator=, [9, 7, 0] [9, 7] [7] --------- = ------ [9, 7, 0] [7, 0] denominator=, [9, 8, 0] [9, 8] [8] --------- = ------ [9, 8, 0] [8, 0] denominator=, [9, 9, 8] [2, 14, 9, 1] [2, 14, 1] ------------- = ---------- [9, 9, 8] [9, 8] denominator=, [9, 9, 9] [1, 9, 9, 8] [1, 9, 8] ------------ = --------- [9, 9, 9] [9, 9] [2, 9, 9, 7] [2, 9, 7] ------------ = --------- [9, 9, 9] [9, 9] [3, 9, 9, 6] [3, 9, 6] ------------ = --------- [9, 9, 9] [9, 9] [4, 9, 9, 5] [4, 9, 5] ------------ = --------- [9, 9, 9] [9, 9] [5, 9, 9, 4] [5, 9, 4] ------------ = --------- [9, 9, 9] [9, 9] [6, 9, 9, 3] [6, 9, 3] ------------ = --------- [9, 9, 9] [9, 9] [7, 9, 9, 2] [7, 9, 2] ------------ = --------- [9, 9, 9] [9, 9] [8, 9, 9, 1] [8, 9, 1] ------------ = --------- [9, 9, 9] [9, 9] denominator=, [10, 1, 0] [10, 1] [1] ---------- = ------ [10, 1, 0] [1, 0] denominator=, [10, 2, 0] [10, 2] [2] ---------- = ------ [10, 2, 0] [2, 0] denominator=, [10, 3, 0] [10, 3] [3] ---------- = ------ [10, 3, 0] [3, 0] denominator=, [10, 4, 0] [10, 4] [4] ---------- = ------ [10, 4, 0] [4, 0] denominator=, [10, 5, 0] [10, 5] [5] ---------- = ------ [10, 5, 0] [5, 0] denominator=, [10, 6, 0] [10, 6] [6] ---------- = ------ [10, 6, 0] [6, 0] denominator=, [10, 7, 0] [10, 7] [7] ---------- = ------ [10, 7, 0] [7, 0] denominator=, [10, 8, 0] [10, 8] [8] ---------- = ------ [10, 8, 0] [8, 0] denominator=, [10, 8, 15] [2, 10, 2] [2, 2] ----------- = ------- [10, 8, 15] [8, 15] denominator=, [10, 9, 0] [10, 9] [9] ---------- = ------ [10, 9, 0] [9, 0] denominator=, [10, 10, 8] [1, 15, 10, 2] [1, 15, 2] -------------- = ---------- [10, 10, 8] [10, 8] denominator=, [10, 10, 10] [1, 10, 10, 9] [1, 10, 9] -------------- = ---------- [10, 10, 10] [10, 10] [2, 10, 10, 8] [2, 10, 8] -------------- = ---------- [10, 10, 10] [10, 10] [3, 10, 10, 7] [3, 10, 7] -------------- = ---------- [10, 10, 10] [10, 10] [4, 10, 10, 6] [4, 10, 6] -------------- = ---------- [10, 10, 10] [10, 10] [5, 10, 10, 5] [5, 10, 5] -------------- = ---------- [10, 10, 10] [10, 10] [6, 10, 10, 4] [6, 10, 4] -------------- = ---------- [10, 10, 10] [10, 10] [7, 10, 10, 3] [7, 10, 3] -------------- = ---------- [10, 10, 10] [10, 10] [8, 10, 10, 2] [8, 10, 2] -------------- = ---------- [10, 10, 10] [10, 10] [9, 10, 10, 1] [9, 10, 1] -------------- = ---------- [10, 10, 10] [10, 10] denominator=, [11, 1, 0] [11, 1] [1] ---------- = ------ [11, 1, 0] [1, 0] denominator=, [11, 2, 0] [11, 2] [2] ---------- = ------ [11, 2, 0] [2, 0] denominator=, [11, 3, 0] [11, 3] [3] ---------- = ------ [11, 3, 0] [3, 0] denominator=, [11, 4, 0] [11, 4] [4] ---------- = ------ [11, 4, 0] [4, 0] denominator=, [11, 5, 0] [11, 5] [5] ---------- = ------ [11, 5, 0] [5, 0] denominator=, [11, 6, 0] [11, 6] [6] ---------- = ------ [11, 6, 0] [6, 0] denominator=, [11, 7, 0] [11, 7] [7] ---------- = ------ [11, 7, 0] [7, 0] denominator=, [11, 7, 14] [1, 11, 1] [1, 1] ----------- = ------- [11, 7, 14] [7, 14] denominator=, [11, 8, 0] [11, 8] [8] ---------- = ------ [11, 8, 0] [8, 0] denominator=, [11, 8, 16] [1, 11, 4] [1, 4] ----------- = ------- [11, 8, 16] [8, 16] denominator=, [11, 9, 0] [11, 9] [9] ---------- = ------ [11, 9, 0] [9, 0] denominator=, [11, 9, 18] [1, 11, 7] [1, 7] ----------- = ------- [11, 9, 18] [9, 18] denominator=, [11, 10, 0] [11, 10] [10] ----------- = ------- [11, 10, 0] [10, 0] denominator=, [11, 11, 10] [1, 13, 11, 7] [1, 13, 7] -------------- = ---------- [11, 11, 10] [11, 10] [2, 15, 11, 4] [2, 15, 4] -------------- = ---------- [11, 11, 10] [11, 10] [3, 17, 11, 1] [3, 17, 1] -------------- = ---------- [11, 11, 10] [11, 10] denominator=, [11, 11, 11] [1, 11, 11, 10] [1, 11, 10] --------------- = ----------- [11, 11, 11] [11, 11] [2, 11, 11, 9] [2, 11, 9] -------------- = ---------- [11, 11, 11] [11, 11] [3, 11, 11, 8] [3, 11, 8] -------------- = ---------- [11, 11, 11] [11, 11] [4, 11, 11, 7] [4, 11, 7] -------------- = ---------- [11, 11, 11] [11, 11] [5, 11, 11, 6] [5, 11, 6] -------------- = ---------- [11, 11, 11] [11, 11] [6, 11, 11, 5] [6, 11, 5] -------------- = ---------- [11, 11, 11] [11, 11] [7, 11, 11, 4] [7, 11, 4] -------------- = ---------- [11, 11, 11] [11, 11] [8, 11, 11, 3] [8, 11, 3] -------------- = ---------- [11, 11, 11] [11, 11] [9, 11, 11, 2] [9, 11, 2] -------------- = ---------- [11, 11, 11] [11, 11] [10, 11, 11, 1] [10, 11, 1] --------------- = ----------- [11, 11, 11] [11, 11] denominator=, [12, 1, 0] [12, 1] [1] ---------- = ------ [12, 1, 0] [1, 0] denominator=, [12, 2, 0] [12, 2] [2] ---------- = ------ [12, 2, 0] [2, 0] denominator=, [12, 3, 0] [12, 3] [3] ---------- = ------ [12, 3, 0] [3, 0] denominator=, [12, 4, 0] [12, 4] [4] ---------- = ------ [12, 4, 0] [4, 0] denominator=, [12, 5, 0] [12, 5] [5] ---------- = ------ [12, 5, 0] [5, 0] denominator=, [12, 6, 0] [12, 6] [6] ---------- = ------ [12, 6, 0] [6, 0] denominator=, [12, 7, 0] [12, 7] [7] ---------- = ------ [12, 7, 0] [7, 0] denominator=, [12, 8, 0] [12, 8] [8] ---------- = ------ [12, 8, 0] [8, 0] denominator=, [12, 9, 0] [12, 9] [9] ---------- = ------ [12, 9, 0] [9, 0] denominator=, [12, 9, 12] [2, 12, 0] [2, 0] ----------- = ------- [12, 9, 12] [9, 12] denominator=, [12, 10, 0] [12, 10] [10] ----------- = ------- [12, 10, 0] [10, 0] denominator=, [12, 10, 16] [2, 12, 5] [2, 5] ------------ = -------- [12, 10, 16] [10, 16] denominator=, [12, 11, 0] [12, 11] [11] ----------- = ------- [12, 11, 0] [11, 0] denominator=, [12, 12, 10] [1, 16, 12, 5] [1, 16, 5] -------------- = ---------- [12, 12, 10] [12, 10] [3, 0, 12, 0] [3, 0, 0] ------------- = --------- [12, 12, 10] [12, 10] denominator=, [12, 12, 12] [1, 12, 12, 11] [1, 12, 11] --------------- = ----------- [12, 12, 12] [12, 12] [2, 12, 12, 10] [2, 12, 10] --------------- = ----------- [12, 12, 12] [12, 12] [3, 12, 12, 9] [3, 12, 9] -------------- = ---------- [12, 12, 12] [12, 12] [4, 12, 12, 8] [4, 12, 8] -------------- = ---------- [12, 12, 12] [12, 12] [5, 12, 12, 7] [5, 12, 7] -------------- = ---------- [12, 12, 12] [12, 12] [6, 12, 12, 6] [6, 12, 6] -------------- = ---------- [12, 12, 12] [12, 12] [7, 12, 12, 5] [7, 12, 5] -------------- = ---------- [12, 12, 12] [12, 12] [8, 12, 12, 4] [8, 12, 4] -------------- = ---------- [12, 12, 12] [12, 12] [9, 12, 12, 3] [9, 12, 3] -------------- = ---------- [12, 12, 12] [12, 12] [10, 12, 12, 2] [10, 12, 2] --------------- = ----------- [12, 12, 12] [12, 12] [11, 12, 12, 1] [11, 12, 1] --------------- = ----------- [12, 12, 12] [12, 12] denominator=, [13, 1, 0] [13, 1] [1] ---------- = ------ [13, 1, 0] [1, 0] denominator=, [13, 2, 0] [13, 2] [2] ---------- = ------ [13, 2, 0] [2, 0] denominator=, [13, 3, 0] [13, 3] [3] ---------- = ------ [13, 3, 0] [3, 0] denominator=, [13, 4, 0] [13, 4] [4] ---------- = ------ [13, 4, 0] [4, 0] denominator=, [13, 5, 0] [13, 5] [5] ---------- = ------ [13, 5, 0] [5, 0] denominator=, [13, 6, 0] [13, 6] [6] ---------- = ------ [13, 6, 0] [6, 0] denominator=, [13, 7, 0] [13, 7] [7] ---------- = ------ [13, 7, 0] [7, 0] denominator=, [13, 8, 0] [13, 8] [8] ---------- = ------ [13, 8, 0] [8, 0] denominator=, [13, 9, 0] [13, 9] [9] ---------- = ------ [13, 9, 0] [9, 0] denominator=, [13, 9, 15] [1, 13, 4] [1, 4] ----------- = ------- [13, 9, 15] [9, 15] denominator=, [13, 10, 0] [13, 10] [10] ----------- = ------- [13, 10, 0] [10, 0] denominator=, [13, 11, 0] [13, 11] [11] ----------- = ------- [13, 11, 0] [11, 0] denominator=, [13, 11, 14] [3, 13, 3] [3, 3] ------------ = -------- [13, 11, 14] [11, 14] denominator=, [13, 12, 0] [13, 12] [12] ----------- = ------- [13, 12, 0] [12, 0] denominator=, [13, 13, 10] [1, 19, 13, 3] [1, 19, 3] -------------- = ---------- [13, 13, 10] [13, 10] denominator=, [13, 13, 12] [3, 18, 13, 4] [3, 18, 4] -------------- = ---------- [13, 13, 12] [13, 12] denominator=, [13, 13, 13] [1, 13, 13, 12] [1, 13, 12] --------------- = ----------- [13, 13, 13] [13, 13] [2, 13, 13, 11] [2, 13, 11] --------------- = ----------- [13, 13, 13] [13, 13] [3, 13, 13, 10] [3, 13, 10] --------------- = ----------- [13, 13, 13] [13, 13] [4, 13, 13, 9] [4, 13, 9] -------------- = ---------- [13, 13, 13] [13, 13] [5, 13, 13, 8] [5, 13, 8] -------------- = ---------- [13, 13, 13] [13, 13] [6, 13, 13, 7] [6, 13, 7] -------------- = ---------- [13, 13, 13] [13, 13] [7, 13, 13, 6] [7, 13, 6] -------------- = ---------- [13, 13, 13] [13, 13] [8, 13, 13, 5] [8, 13, 5] -------------- = ---------- [13, 13, 13] [13, 13] [9, 13, 13, 4] [9, 13, 4] -------------- = ---------- [13, 13, 13] [13, 13] [10, 13, 13, 3] [10, 13, 3] --------------- = ----------- [13, 13, 13] [13, 13] [11, 13, 13, 2] [11, 13, 2] --------------- = ----------- [13, 13, 13] [13, 13] [12, 13, 13, 1] [12, 13, 1] --------------- = ----------- [13, 13, 13] [13, 13] denominator=, [14, 1, 0] [14, 1] [1] ---------- = ------ [14, 1, 0] [1, 0] denominator=, [14, 2, 0] [14, 2] [2] ---------- = ------ [14, 2, 0] [2, 0] denominator=, [14, 3, 0] [14, 3] [3] ---------- = ------ [14, 3, 0] [3, 0] denominator=, [14, 4, 0] [14, 4] [4] ---------- = ------ [14, 4, 0] [4, 0] denominator=, [14, 5, 0] [14, 5] [5] ---------- = ------ [14, 5, 0] [5, 0] denominator=, [14, 6, 0] [14, 6] [6] ---------- = ------ [14, 6, 0] [6, 0] denominator=, [14, 7, 0] [14, 7] [7] ---------- = ------ [14, 7, 0] [7, 0] denominator=, [14, 8, 0] [14, 8] [8] ---------- = ------ [14, 8, 0] [8, 0] denominator=, [14, 9, 0] [14, 9] [9] ---------- = ------ [14, 9, 0] [9, 0] denominator=, [14, 10, 0] [14, 10] [10] ----------- = ------- [14, 10, 0] [10, 0] denominator=, [14, 11, 0] [14, 11] [11] ----------- = ------- [14, 11, 0] [11, 0] denominator=, [14, 12, 0] [14, 12] [12] ----------- = ------- [14, 12, 0] [12, 0] denominator=, [14, 12, 12] [4, 14, 1] [4, 1] ------------ = -------- [14, 12, 12] [12, 12] denominator=, [14, 13, 0] [14, 13] [13] ----------- = ------- [14, 13, 0] [13, 0] denominator=, [14, 14, 10] [2, 2, 14, 1] [2, 2, 1] ------------- = --------- [14, 14, 10] [14, 10] denominator=, [14, 14, 14] [1, 14, 14, 13] [1, 14, 13] --------------- = ----------- [14, 14, 14] [14, 14] [2, 14, 14, 12] [2, 14, 12] --------------- = ----------- [14, 14, 14] [14, 14] [3, 14, 14, 11] [3, 14, 11] --------------- = ----------- [14, 14, 14] [14, 14] [4, 14, 14, 10] [4, 14, 10] --------------- = ----------- [14, 14, 14] [14, 14] [5, 14, 14, 9] [5, 14, 9] -------------- = ---------- [14, 14, 14] [14, 14] [6, 14, 14, 8] [6, 14, 8] -------------- = ---------- [14, 14, 14] [14, 14] [7, 14, 14, 7] [7, 14, 7] -------------- = ---------- [14, 14, 14] [14, 14] [8, 14, 14, 6] [8, 14, 6] -------------- = ---------- [14, 14, 14] [14, 14] [9, 14, 14, 5] [9, 14, 5] -------------- = ---------- [14, 14, 14] [14, 14] [10, 14, 14, 4] [10, 14, 4] --------------- = ----------- [14, 14, 14] [14, 14] [11, 14, 14, 3] [11, 14, 3] --------------- = ----------- [14, 14, 14] [14, 14] [12, 14, 14, 2] [12, 14, 2] --------------- = ----------- [14, 14, 14] [14, 14] [13, 14, 14, 1] [13, 14, 1] --------------- = ----------- [14, 14, 14] [14, 14] denominator=, [14, 19, 0] [14, 19] [19] ----------- = ------- [14, 19, 0] [19, 0] denominator=, [15, 1, 0] [15, 1] [1] ---------- = ------ [15, 1, 0] [1, 0] denominator=, [15, 2, 0] [15, 2] [2] ---------- = ------ [15, 2, 0] [2, 0] denominator=, [15, 3, 0] [15, 3] [3] ---------- = ------ [15, 3, 0] [3, 0] denominator=, [15, 4, 0] [15, 4] [4] ---------- = ------ [15, 4, 0] [4, 0] denominator=, [15, 5, 0] [15, 5] [5] ---------- = ------ [15, 5, 0] [5, 0] denominator=, [15, 6, 0] [15, 6] [6] ---------- = ------ [15, 6, 0] [6, 0] denominator=, [15, 7, 0] [15, 7] [7] ---------- = ------ [15, 7, 0] [7, 0] denominator=, [15, 8, 0] [15, 8] [8] ---------- = ------ [15, 8, 0] [8, 0] denominator=, [15, 9, 0] [15, 9] [9] ---------- = ------ [15, 9, 0] [9, 0] denominator=, [15, 10, 0] [15, 10] [10] ----------- = ------- [15, 10, 0] [10, 0] denominator=, [15, 11, 0] [15, 11] [11] ----------- = ------- [15, 11, 0] [11, 0] denominator=, [15, 12, 0] [15, 12] [12] ----------- = ------- [15, 12, 0] [12, 0] denominator=, [15, 12, 10] [3, 15, 0] [3, 0] ------------ = -------- [15, 12, 10] [12, 10] denominator=, [15, 13, 0] [15, 13] [13] ----------- = ------- [15, 13, 0] [13, 0] denominator=, [15, 13, 15] [3, 15, 6] [3, 6] ------------ = -------- [15, 13, 15] [13, 15] denominator=, [15, 14, 0] [15, 14] [14] ----------- = ------- [15, 14, 0] [14, 0] denominator=, [15, 15, 12] [2, 0, 15, 6] [2, 0, 6] ------------- = --------- [15, 15, 12] [15, 12] [3, 5, 15, 0] [3, 5, 0] ------------- = --------- [15, 15, 12] [15, 12] denominator=, [15, 15, 15] [1, 15, 15, 14] [1, 15, 14] --------------- = ----------- [15, 15, 15] [15, 15] [2, 15, 15, 13] [2, 15, 13] --------------- = ----------- [15, 15, 15] [15, 15] [3, 15, 15, 12] [3, 15, 12] --------------- = ----------- [15, 15, 15] [15, 15] [4, 15, 15, 11] [4, 15, 11] --------------- = ----------- [15, 15, 15] [15, 15] [5, 15, 15, 10] [5, 15, 10] --------------- = ----------- [15, 15, 15] [15, 15] [6, 15, 15, 9] [6, 15, 9] -------------- = ---------- [15, 15, 15] [15, 15] [7, 15, 15, 8] [7, 15, 8] -------------- = ---------- [15, 15, 15] [15, 15] [8, 15, 15, 7] [8, 15, 7] -------------- = ---------- [15, 15, 15] [15, 15] [9, 15, 15, 6] [9, 15, 6] -------------- = ---------- [15, 15, 15] [15, 15] [10, 15, 15, 5] [10, 15, 5] --------------- = ----------- [15, 15, 15] [15, 15] [11, 15, 15, 4] [11, 15, 4] --------------- = ----------- [15, 15, 15] [15, 15] [12, 15, 15, 3] [12, 15, 3] --------------- = ----------- [15, 15, 15] [15, 15] [13, 15, 15, 2] [13, 15, 2] --------------- = ----------- [15, 15, 15] [15, 15] [14, 15, 15, 1] [14, 15, 1] --------------- = ----------- [15, 15, 15] [15, 15] denominator=, [16, 1, 0] [16, 1] [1] ---------- = ------ [16, 1, 0] [1, 0] denominator=, [16, 2, 0] [16, 2] [2] ---------- = ------ [16, 2, 0] [2, 0] denominator=, [16, 3, 0] [16, 3] [3] ---------- = ------ [16, 3, 0] [3, 0] denominator=, [16, 4, 0] [16, 4] [4] ---------- = ------ [16, 4, 0] [4, 0] denominator=, [16, 5, 0] [16, 5] [5] ---------- = ------ [16, 5, 0] [5, 0] denominator=, [16, 6, 0] [16, 6] [6] ---------- = ------ [16, 6, 0] [6, 0] denominator=, [16, 7, 0] [16, 7] [7] ---------- = ------ [16, 7, 0] [7, 0] denominator=, [16, 8, 0] [16, 8] [8] ---------- = ------ [16, 8, 0] [8, 0] denominator=, [16, 9, 0] [16, 9] [9] ---------- = ------ [16, 9, 0] [9, 0] denominator=, [16, 9, 12] [1, 16, 1] [1, 1] ----------- = ------- [16, 9, 12] [9, 12] denominator=, [16, 10, 0] [16, 10] [10] ----------- = ------- [16, 10, 0] [10, 0] denominator=, [16, 11, 0] [16, 11] [11] ----------- = ------- [16, 11, 0] [11, 0] denominator=, [16, 12, 0] [16, 12] [12] ----------- = ------- [16, 12, 0] [12, 0] denominator=, [16, 12, 16] [1, 16, 8] [1, 8] ------------ = -------- [16, 12, 16] [12, 16] denominator=, [16, 13, 0] [16, 13] [13] ----------- = ------- [16, 13, 0] [13, 0] denominator=, [16, 14, 0] [16, 14] [14] ----------- = ------- [16, 14, 0] [14, 0] denominator=, [16, 15, 0] [16, 15] [15] ----------- = ------- [16, 15, 0] [15, 0] denominator=, [16, 16, 15] [4, 0, 16, 8] [4, 0, 8] ------------- = --------- [16, 16, 15] [16, 15] [7, 4, 16, 1] [7, 4, 1] ------------- = --------- [16, 16, 15] [16, 15] denominator=, [16, 16, 16] [1, 16, 16, 15] [1, 16, 15] --------------- = ----------- [16, 16, 16] [16, 16] [2, 16, 16, 14] [2, 16, 14] --------------- = ----------- [16, 16, 16] [16, 16] [3, 16, 16, 13] [3, 16, 13] --------------- = ----------- [16, 16, 16] [16, 16] [4, 16, 16, 12] [4, 16, 12] --------------- = ----------- [16, 16, 16] [16, 16] [5, 16, 16, 11] [5, 16, 11] --------------- = ----------- [16, 16, 16] [16, 16] [6, 16, 16, 10] [6, 16, 10] --------------- = ----------- [16, 16, 16] [16, 16] [7, 16, 16, 9] [7, 16, 9] -------------- = ---------- [16, 16, 16] [16, 16] [8, 16, 16, 8] [8, 16, 8] -------------- = ---------- [16, 16, 16] [16, 16] [9, 16, 16, 7] [9, 16, 7] -------------- = ---------- [16, 16, 16] [16, 16] [10, 16, 16, 6] [10, 16, 6] --------------- = ----------- [16, 16, 16] [16, 16] [11, 16, 16, 5] [11, 16, 5] --------------- = ----------- [16, 16, 16] [16, 16] [12, 16, 16, 4] [12, 16, 4] --------------- = ----------- [16, 16, 16] [16, 16] [13, 16, 16, 3] [13, 16, 3] --------------- = ----------- [16, 16, 16] [16, 16] [14, 16, 16, 2] [14, 16, 2] --------------- = ----------- [16, 16, 16] [16, 16] [15, 16, 16, 1] [15, 16, 1] --------------- = ----------- [16, 16, 16] [16, 16] denominator=, [16, 19, 0] [16, 19] [19] ----------- = ------- [16, 19, 0] [19, 0] denominator=, [17, 1, 0] [17, 1] [1] ---------- = ------ [17, 1, 0] [1, 0] denominator=, [17, 2, 0] [17, 2] [2] ---------- = ------ [17, 2, 0] [2, 0] denominator=, [17, 3, 0] [17, 3] [3] ---------- = ------ [17, 3, 0] [3, 0] denominator=, [17, 4, 0] [17, 4] [4] ---------- = ------ [17, 4, 0] [4, 0] denominator=, [17, 5, 0] [17, 5] [5] ---------- = ------ [17, 5, 0] [5, 0] denominator=, [17, 6, 0] [17, 6] [6] ---------- = ------ [17, 6, 0] [6, 0] denominator=, [17, 7, 0] [17, 7] [7] ---------- = ------ [17, 7, 0] [7, 0] denominator=, [17, 8, 0] [17, 8] [8] ---------- = ------ [17, 8, 0] [8, 0] denominator=, [17, 9, 0] [17, 9] [9] ---------- = ------ [17, 9, 0] [9, 0] denominator=, [17, 10, 0] [17, 10] [10] ----------- = ------- [17, 10, 0] [10, 0] denominator=, [17, 11, 0] [17, 11] [11] ----------- = ------- [17, 11, 0] [11, 0] denominator=, [17, 12, 0] [17, 12] [12] ----------- = ------- [17, 12, 0] [12, 0] denominator=, [17, 12, 15] [1, 17, 7] [1, 7] ------------ = -------- [17, 12, 15] [12, 15] denominator=, [17, 13, 0] [17, 13] [13] ----------- = ------- [17, 13, 0] [13, 0] denominator=, [17, 13, 12] [2, 17, 4] [2, 4] ------------ = -------- [17, 13, 12] [13, 12] denominator=, [17, 14, 0] [17, 14] [14] ----------- = ------- [17, 14, 0] [14, 0] denominator=, [17, 15, 0] [17, 15] [15] ----------- = ------- [17, 15, 0] [15, 0] denominator=, [17, 16, 0] [17, 16] [16] ----------- = ------- [17, 16, 0] [16, 0] denominator=, [17, 17, 15] [4, 5, 17, 4] [4, 5, 4] ------------- = --------- [17, 17, 15] [17, 15] denominator=, [17, 17, 16] [5, 2, 17, 7] [5, 2, 7] ------------- = --------- [17, 17, 16] [17, 16] denominator=, [17, 17, 17] [1, 17, 17, 16] [1, 17, 16] --------------- = ----------- [17, 17, 17] [17, 17] [2, 17, 17, 15] [2, 17, 15] --------------- = ----------- [17, 17, 17] [17, 17] [3, 17, 17, 14] [3, 17, 14] --------------- = ----------- [17, 17, 17] [17, 17] [4, 17, 17, 13] [4, 17, 13] --------------- = ----------- [17, 17, 17] [17, 17] [5, 17, 17, 12] [5, 17, 12] --------------- = ----------- [17, 17, 17] [17, 17] [6, 17, 17, 11] [6, 17, 11] --------------- = ----------- [17, 17, 17] [17, 17] [7, 17, 17, 10] [7, 17, 10] --------------- = ----------- [17, 17, 17] [17, 17] [8, 17, 17, 9] [8, 17, 9] -------------- = ---------- [17, 17, 17] [17, 17] [9, 17, 17, 8] [9, 17, 8] -------------- = ---------- [17, 17, 17] [17, 17] [10, 17, 17, 7] [10, 17, 7] --------------- = ----------- [17, 17, 17] [17, 17] [11, 17, 17, 6] [11, 17, 6] --------------- = ----------- [17, 17, 17] [17, 17] [12, 17, 17, 5] [12, 17, 5] --------------- = ----------- [17, 17, 17] [17, 17] [13, 17, 17, 4] [13, 17, 4] --------------- = ----------- [17, 17, 17] [17, 17] [14, 17, 17, 3] [14, 17, 3] --------------- = ----------- [17, 17, 17] [17, 17] [15, 17, 17, 2] [15, 17, 2] --------------- = ----------- [17, 17, 17] [17, 17] [16, 17, 17, 1] [16, 17, 1] --------------- = ----------- [17, 17, 17] [17, 17] denominator=, [17, 19, 0] [17, 19] [19] ----------- = ------- [17, 19, 0] [19, 0] denominator=, [18, 1, 0] [18, 1] [1] ---------- = ------ [18, 1, 0] [1, 0] denominator=, [18, 2, 0] [18, 2] [2] ---------- = ------ [18, 2, 0] [2, 0] denominator=, [18, 3, 0] [18, 3] [3] ---------- = ------ [18, 3, 0] [3, 0] denominator=, [18, 4, 0] [18, 4] [4] ---------- = ------ [18, 4, 0] [4, 0] denominator=, [18, 5, 0] [18, 5] [5] ---------- = ------ [18, 5, 0] [5, 0] denominator=, [18, 6, 0] [18, 6] [6] ---------- = ------ [18, 6, 0] [6, 0] denominator=, [18, 7, 0] [18, 7] [7] ---------- = ------ [18, 7, 0] [7, 0] denominator=, [18, 8, 0] [18, 8] [8] ---------- = ------ [18, 8, 0] [8, 0] denominator=, [18, 9, 0] [18, 9] [9] ---------- = ------ [18, 9, 0] [9, 0] denominator=, [18, 10, 0] [18, 10] [10] ----------- = ------- [18, 10, 0] [10, 0] denominator=, [18, 11, 0] [18, 11] [11] ----------- = ------- [18, 11, 0] [11, 0] denominator=, [18, 12, 0] [18, 12] [12] ----------- = ------- [18, 12, 0] [12, 0] denominator=, [18, 13, 0] [18, 13] [13] ----------- = ------- [18, 13, 0] [13, 0] denominator=, [18, 13, 10] [2, 18, 2] [2, 2] ------------ = -------- [18, 13, 10] [13, 10] denominator=, [18, 14, 0] [18, 14] [14] ----------- = ------- [18, 14, 0] [14, 0] denominator=, [18, 14, 8] [3, 18, 0] [3, 0] ----------- = ------- [18, 14, 8] [14, 8] denominator=, [18, 15, 0] [18, 15] [15] ----------- = ------- [18, 15, 0] [15, 0] denominator=, [18, 15, 12] [3, 18, 5] [3, 5] ------------ = -------- [18, 15, 12] [15, 12] denominator=, [18, 15, 15] [2, 18, 9] [2, 9] ------------ = -------- [18, 15, 15] [15, 15] denominator=, [18, 16, 0] [18, 16] [16] ----------- = ------- [18, 16, 0] [16, 0] denominator=, [18, 16, 10] [6, 18, 1] [6, 1] ------------ = -------- [18, 16, 10] [16, 10] denominator=, [18, 16, 16] [3, 18, 10] [3, 10] ------------ = -------- [18, 16, 16] [16, 16] denominator=, [18, 17, 0] [18, 17] [17] ----------- = ------- [18, 17, 0] [17, 0] denominator=, [18, 18, 12] [2, 8, 18, 1] [2, 8, 1] ------------- = --------- [18, 18, 12] [18, 12] denominator=, [18, 18, 15] [2, 2, 18, 10] [2, 2, 10] -------------- = ---------- [18, 18, 15] [18, 15] [3, 6, 18, 5] [3, 6, 5] ------------- = --------- [18, 18, 15] [18, 15] [4, 10, 18, 0] [4, 10, 0] -------------- = ---------- [18, 18, 15] [18, 15] denominator=, [18, 18, 16] [3, 3, 18, 9] [3, 3, 9] ------------- = --------- [18, 18, 16] [18, 16] [5, 8, 18, 2] [5, 8, 2] ------------- = --------- [18, 18, 16] [18, 16] denominator=, [18, 18, 18] [1, 18, 18, 17] [1, 18, 17] --------------- = ----------- [18, 18, 18] [18, 18] [2, 18, 18, 16] [2, 18, 16] --------------- = ----------- [18, 18, 18] [18, 18] [3, 18, 18, 15] [3, 18, 15] --------------- = ----------- [18, 18, 18] [18, 18] [4, 18, 18, 14] [4, 18, 14] --------------- = ----------- [18, 18, 18] [18, 18] [5, 18, 18, 13] [5, 18, 13] --------------- = ----------- [18, 18, 18] [18, 18] [6, 18, 18, 12] [6, 18, 12] --------------- = ----------- [18, 18, 18] [18, 18] [7, 18, 18, 11] [7, 18, 11] --------------- = ----------- [18, 18, 18] [18, 18] [8, 18, 18, 10] [8, 18, 10] --------------- = ----------- [18, 18, 18] [18, 18] [9, 18, 18, 9] [9, 18, 9] -------------- = ---------- [18, 18, 18] [18, 18] [10, 18, 18, 8] [10, 18, 8] --------------- = ----------- [18, 18, 18] [18, 18] [11, 18, 18, 7] [11, 18, 7] --------------- = ----------- [18, 18, 18] [18, 18] [12, 18, 18, 6] [12, 18, 6] --------------- = ----------- [18, 18, 18] [18, 18] [13, 18, 18, 5] [13, 18, 5] --------------- = ----------- [18, 18, 18] [18, 18] [14, 18, 18, 4] [14, 18, 4] --------------- = ----------- [18, 18, 18] [18, 18] [15, 18, 18, 3] [15, 18, 3] --------------- = ----------- [18, 18, 18] [18, 18] [16, 18, 18, 2] [16, 18, 2] --------------- = ----------- [18, 18, 18] [18, 18] [17, 18, 18, 1] [17, 18, 1] --------------- = ----------- [18, 18, 18] [18, 18] denominator=, [19, 1, 0] [19, 1] [1] ---------- = ------ [19, 1, 0] [1, 0] denominator=, [19, 2, 0] [19, 2] [2] ---------- = ------ [19, 2, 0] [2, 0] denominator=, [19, 3, 0] [19, 3] [3] ---------- = ------ [19, 3, 0] [3, 0] denominator=, [19, 4, 0] [19, 4] [4] ---------- = ------ [19, 4, 0] [4, 0] denominator=, [19, 5, 0] [19, 5] [5] ---------- = ------ [19, 5, 0] [5, 0] denominator=, [19, 6, 0] [19, 6] [6] ---------- = ------ [19, 6, 0] [6, 0] denominator=, [19, 7, 0] [19, 7] [7] ---------- = ------ [19, 7, 0] [7, 0] denominator=, [19, 8, 0] [19, 8] [8] ---------- = ------ [19, 8, 0] [8, 0] denominator=, [19, 9, 0] [19, 9] [9] ---------- = ------ [19, 9, 0] [9, 0] denominator=, [19, 10, 0] [19, 10] [10] ----------- = ------- [19, 10, 0] [10, 0] [1, 19, 0] [1, 0] ----------- = ------- [19, 10, 0] [10, 0] denominator=, [19, 10, 10] [1, 19, 1] [1, 1] ------------ = -------- [19, 10, 10] [10, 10] denominator=, [19, 11, 0] [19, 11] [11] ----------- = ------- [19, 11, 0] [11, 0] [1, 19, 2] [1, 2] ----------- = ------- [19, 11, 0] [11, 0] denominator=, [19, 11, 10] [1, 19, 3] [1, 3] ------------ = -------- [19, 11, 10] [11, 10] denominator=, [19, 12, 0] [19, 12] [12] ----------- = ------- [19, 12, 0] [12, 0] [1, 19, 4] [1, 4] ----------- = ------- [19, 12, 0] [12, 0] denominator=, [19, 12, 10] [1, 19, 5] [1, 5] ------------ = -------- [19, 12, 10] [12, 10] denominator=, [19, 13, 0] [19, 13] [13] ----------- = ------- [19, 13, 0] [13, 0] [1, 19, 6] [1, 6] ----------- = ------- [19, 13, 0] [13, 0] denominator=, [19, 13, 10] [1, 19, 7] [1, 7] ------------ = -------- [19, 13, 10] [13, 10] denominator=, [19, 14, 0] [19, 14] [14] ----------- = ------- [19, 14, 0] [14, 0] [1, 19, 8] [1, 8] ----------- = ------- [19, 14, 0] [14, 0] [2, 19, 2] [2, 2] ----------- = ------- [19, 14, 0] [14, 0] denominator=, [19, 14, 10] [1, 19, 9] [1, 9] ------------ = -------- [19, 14, 10] [14, 10] denominator=, [19, 15, 0] [19, 15] [15] ----------- = ------- [19, 15, 0] [15, 0] [1, 19, 10] [1, 10] ----------- = ------- [19, 15, 0] [15, 0] [2, 19, 5] [2, 5] ----------- = ------- [19, 15, 0] [15, 0] [3, 19, 0] [3, 0] ----------- = ------- [19, 15, 0] [15, 0] denominator=, [19, 15, 5] [3, 19, 1] [3, 1] ----------- = ------- [19, 15, 5] [15, 5] denominator=, [19, 15, 10] [1, 19, 11] [1, 11] ------------ = -------- [19, 15, 10] [15, 10] [3, 19, 2] [3, 2] ------------ = -------- [19, 15, 10] [15, 10] denominator=, [19, 15, 15] [3, 19, 3] [3, 3] ------------ = -------- [19, 15, 15] [15, 15] denominator=, [19, 16, 0] [19, 16] [16] ----------- = ------- [19, 16, 0] [16, 0] [1, 19, 12] [1, 12] ----------- = ------- [19, 16, 0] [16, 0] [2, 19, 8] [2, 8] ----------- = ------- [19, 16, 0] [16, 0] [3, 19, 4] [3, 4] ----------- = ------- [19, 16, 0] [16, 0] [4, 19, 0] [4, 0] ----------- = ------- [19, 16, 0] [16, 0] denominator=, [19, 16, 4] [4, 19, 1] [4, 1] ----------- = ------- [19, 16, 4] [16, 4] denominator=, [19, 16, 5] [3, 19, 5] [3, 5] ----------- = ------- [19, 16, 5] [16, 5] denominator=, [19, 16, 8] [4, 19, 2] [4, 2] ----------- = ------- [19, 16, 8] [16, 8] denominator=, [19, 16, 10] [1, 19, 13] [1, 13] ------------ = -------- [19, 16, 10] [16, 10] [3, 19, 6] [3, 6] ------------ = -------- [19, 16, 10] [16, 10] denominator=, [19, 16, 12] [4, 19, 3] [4, 3] ------------ = -------- [19, 16, 12] [16, 12] denominator=, [19, 16, 15] [3, 19, 7] [3, 7] ------------ = -------- [19, 16, 15] [16, 15] denominator=, [19, 16, 16] [4, 19, 4] [4, 4] ------------ = -------- [19, 16, 16] [16, 16] denominator=, [19, 17, 0] [19, 17] [17] ----------- = ------- [19, 17, 0] [17, 0] [1, 19, 14] [1, 14] ----------- = ------- [19, 17, 0] [17, 0] [2, 19, 11] [2, 11] ----------- = ------- [19, 17, 0] [17, 0] [3, 19, 8] [3, 8] ----------- = ------- [19, 17, 0] [17, 0] [4, 19, 5] [4, 5] ----------- = ------- [19, 17, 0] [17, 0] [5, 19, 2] [5, 2] ----------- = ------- [19, 17, 0] [17, 0] denominator=, [19, 17, 4] [4, 19, 6] [4, 6] ----------- = ------- [19, 17, 4] [17, 4] denominator=, [19, 17, 5] [3, 19, 9] [3, 9] ----------- = ------- [19, 17, 5] [17, 5] denominator=, [19, 17, 8] [4, 19, 7] [4, 7] ----------- = ------- [19, 17, 8] [17, 8] denominator=, [19, 17, 10] [1, 19, 15] [1, 15] ------------ = -------- [19, 17, 10] [17, 10] [3, 19, 10] [3, 10] ------------ = -------- [19, 17, 10] [17, 10] [5, 19, 5] [5, 5] ------------ = -------- [19, 17, 10] [17, 10] [7, 19, 0] [7, 0] ------------ = -------- [19, 17, 10] [17, 10] denominator=, [19, 17, 12] [4, 19, 8] [4, 8] ------------ = -------- [19, 17, 12] [17, 12] denominator=, [19, 17, 15] [3, 19, 11] [3, 11] ------------ = -------- [19, 17, 15] [17, 15] [7, 19, 2] [7, 2] ------------ = -------- [19, 17, 15] [17, 15] denominator=, [19, 17, 16] [4, 19, 9] [4, 9] ------------ = -------- [19, 17, 16] [17, 16] denominator=, [19, 18, 0] [19, 18] [18] ----------- = ------- [19, 18, 0] [18, 0] [1, 19, 16] [1, 16] ----------- = ------- [19, 18, 0] [18, 0] [2, 19, 14] [2, 14] ----------- = ------- [19, 18, 0] [18, 0] [3, 19, 12] [3, 12] ----------- = ------- [19, 18, 0] [18, 0] [4, 19, 10] [4, 10] ----------- = ------- [19, 18, 0] [18, 0] [5, 19, 8] [5, 8] ----------- = ------- [19, 18, 0] [18, 0] [6, 19, 6] [6, 6] ----------- = ------- [19, 18, 0] [18, 0] [7, 19, 4] [7, 4] ----------- = ------- [19, 18, 0] [18, 0] [8, 19, 2] [8, 2] ----------- = ------- [19, 18, 0] [18, 0] [9, 19, 0] [9, 0] ----------- = ------- [19, 18, 0] [18, 0] denominator=, [19, 18, 2] [9, 19, 1] [9, 1] ----------- = ------- [19, 18, 2] [18, 2] denominator=, [19, 18, 4] [4, 19, 11] [4, 11] ----------- = ------- [19, 18, 4] [18, 4] [9, 19, 2] [9, 2] ----------- = ------- [19, 18, 4] [18, 4] denominator=, [19, 18, 5] [3, 19, 13] [3, 13] ----------- = ------- [19, 18, 5] [18, 5] [7, 19, 6] [7, 6] ----------- = ------- [19, 18, 5] [18, 5] denominator=, [19, 18, 6] [9, 19, 3] [9, 3] ----------- = ------- [19, 18, 6] [18, 6] denominator=, [19, 18, 8] [4, 19, 12] [4, 12] ----------- = ------- [19, 18, 8] [18, 8] [9, 19, 4] [9, 4] ----------- = ------- [19, 18, 8] [18, 8] denominator=, [19, 18, 10] [1, 19, 17] [1, 17] ------------ = -------- [19, 18, 10] [18, 10] [3, 19, 14] [3, 14] ------------ = -------- [19, 18, 10] [18, 10] [5, 19, 11] [5, 11] ------------ = -------- [19, 18, 10] [18, 10] [7, 19, 8] [7, 8] ------------ = -------- [19, 18, 10] [18, 10] [9, 19, 5] [9, 5] ------------ = -------- [19, 18, 10] [18, 10] [11, 19, 2] [11, 2] ------------ = -------- [19, 18, 10] [18, 10] denominator=, [19, 18, 12] [4, 19, 13] [4, 13] ------------ = -------- [19, 18, 12] [18, 12] [9, 19, 6] [9, 6] ------------ = -------- [19, 18, 12] [18, 12] denominator=, [19, 18, 14] [9, 19, 7] [9, 7] ------------ = -------- [19, 18, 14] [18, 14] denominator=, [19, 18, 15] [3, 19, 15] [3, 15] ------------ = -------- [19, 18, 15] [18, 15] [7, 19, 10] [7, 10] ------------ = -------- [19, 18, 15] [18, 15] [11, 19, 5] [11, 5] ------------ = -------- [19, 18, 15] [18, 15] [15, 19, 0] [15, 0] ------------ = -------- [19, 18, 15] [18, 15] denominator=, [19, 18, 16] [4, 19, 14] [4, 14] ------------ = -------- [19, 18, 16] [18, 16] [9, 19, 8] [9, 8] ------------ = -------- [19, 18, 16] [18, 16] [14, 19, 2] [14, 2] ------------ = -------- [19, 18, 16] [18, 16] denominator=, [19, 18, 18] [9, 19, 9] [9, 9] ------------ = -------- [19, 18, 18] [18, 18] denominator=, [19, 19, 2] [9, 19, 11] [9, 11] ----------- = ------- [19, 19, 2] [19, 2] denominator=, [19, 19, 4] [4, 19, 16] [4, 16] ----------- = ------- [19, 19, 4] [19, 4] [9, 19, 12] [9, 12] ----------- = ------- [19, 19, 4] [19, 4] [14, 19, 8] [14, 8] ----------- = ------- [19, 19, 4] [19, 4] [1, 4, 19, 0] [1, 4, 0] ------------- = --------- [19, 19, 4] [19, 4] denominator=, [19, 19, 5] [3, 19, 17] [3, 17] ----------- = ------- [19, 19, 5] [19, 5] [7, 19, 14] [7, 14] ----------- = ------- [19, 19, 5] [19, 5] [11, 19, 11] [11, 11] ------------ = -------- [19, 19, 5] [19, 5] [15, 19, 8] [15, 8] ----------- = ------- [19, 19, 5] [19, 5] [1, 3, 19, 2] [1, 3, 2] ------------- = --------- [19, 19, 5] [19, 5] denominator=, [19, 19, 6] [9, 19, 13] [9, 13] ----------- = ------- [19, 19, 6] [19, 6] denominator=, [19, 19, 8] [4, 19, 17] [4, 17] ----------- = ------- [19, 19, 8] [19, 8] [9, 19, 14] [9, 14] ----------- = ------- [19, 19, 8] [19, 8] [14, 19, 11] [14, 11] ------------ = -------- [19, 19, 8] [19, 8] [1, 4, 19, 5] [1, 4, 5] ------------- = --------- [19, 19, 8] [19, 8] [1, 9, 19, 2] [1, 9, 2] ------------- = --------- [19, 19, 8] [19, 8] denominator=, [19, 19, 10] [1, 19, 19] [1, 19] ------------ = -------- [19, 19, 10] [19, 10] [3, 19, 18] [3, 18] ------------ = -------- [19, 19, 10] [19, 10] [5, 19, 17] [5, 17] ------------ = -------- [19, 19, 10] [19, 10] [7, 19, 16] [7, 16] ------------ = -------- [19, 19, 10] [19, 10] [9, 19, 15] [9, 15] ------------ = -------- [19, 19, 10] [19, 10] [11, 19, 14] [11, 14] ------------ = -------- [19, 19, 10] [19, 10] [13, 19, 13] [13, 13] ------------ = -------- [19, 19, 10] [19, 10] [15, 19, 12] [15, 12] ------------ = -------- [19, 19, 10] [19, 10] [17, 19, 11] [17, 11] ------------ = -------- [19, 19, 10] [19, 10] [1, 1, 19, 9] [1, 1, 9] ------------- = --------- [19, 19, 10] [19, 10] [1, 3, 19, 8] [1, 3, 8] ------------- = --------- [19, 19, 10] [19, 10] [1, 5, 19, 7] [1, 5, 7] ------------- = --------- [19, 19, 10] [19, 10] [1, 7, 19, 6] [1, 7, 6] ------------- = --------- [19, 19, 10] [19, 10] [1, 9, 19, 5] [1, 9, 5] ------------- = --------- [19, 19, 10] [19, 10] [1, 11, 19, 4] [1, 11, 4] -------------- = ---------- [19, 19, 10] [19, 10] [1, 13, 19, 3] [1, 13, 3] -------------- = ---------- [19, 19, 10] [19, 10] [1, 15, 19, 2] [1, 15, 2] -------------- = ---------- [19, 19, 10] [19, 10] [1, 17, 19, 1] [1, 17, 1] -------------- = ---------- [19, 19, 10] [19, 10] denominator=, [19, 19, 12] [4, 19, 18] [4, 18] ------------ = -------- [19, 19, 12] [19, 12] [9, 19, 16] [9, 16] ------------ = -------- [19, 19, 12] [19, 12] [14, 19, 14] [14, 14] ------------ = -------- [19, 19, 12] [19, 12] [1, 4, 19, 10] [1, 4, 10] -------------- = ---------- [19, 19, 12] [19, 12] [1, 9, 19, 8] [1, 9, 8] ------------- = --------- [19, 19, 12] [19, 12] [1, 14, 19, 6] [1, 14, 6] -------------- = ---------- [19, 19, 12] [19, 12] [2, 4, 19, 2] [2, 4, 2] ------------- = --------- [19, 19, 12] [19, 12] [2, 9, 19, 0] [2, 9, 0] ------------- = --------- [19, 19, 12] [19, 12] denominator=, [19, 19, 14] [9, 19, 17] [9, 17] ------------ = -------- [19, 19, 14] [19, 14] [1, 9, 19, 11] [1, 9, 11] -------------- = ---------- [19, 19, 14] [19, 14] [2, 9, 19, 5] [2, 9, 5] ------------- = --------- [19, 19, 14] [19, 14] denominator=, [19, 19, 15] [3, 19, 19] [3, 19] ------------ = -------- [19, 19, 15] [19, 15] [7, 19, 18] [7, 18] ------------ = -------- [19, 19, 15] [19, 15] [11, 19, 17] [11, 17] ------------ = -------- [19, 19, 15] [19, 15] [15, 19, 16] [15, 16] ------------ = -------- [19, 19, 15] [19, 15] [1, 3, 19, 14] [1, 3, 14] -------------- = ---------- [19, 19, 15] [19, 15] [1, 7, 19, 13] [1, 7, 13] -------------- = ---------- [19, 19, 15] [19, 15] [1, 11, 19, 12] [1, 11, 12] --------------- = ----------- [19, 19, 15] [19, 15] [1, 15, 19, 11] [1, 15, 11] --------------- = ----------- [19, 19, 15] [19, 15] [2, 3, 19, 9] [2, 3, 9] ------------- = --------- [19, 19, 15] [19, 15] [2, 7, 19, 8] [2, 7, 8] ------------- = --------- [19, 19, 15] [19, 15] [2, 11, 19, 7] [2, 11, 7] -------------- = ---------- [19, 19, 15] [19, 15] [2, 15, 19, 6] [2, 15, 6] -------------- = ---------- [19, 19, 15] [19, 15] [3, 3, 19, 4] [3, 3, 4] ------------- = --------- [19, 19, 15] [19, 15] [3, 7, 19, 3] [3, 7, 3] ------------- = --------- [19, 19, 15] [19, 15] [3, 11, 19, 2] [3, 11, 2] -------------- = ---------- [19, 19, 15] [19, 15] [3, 15, 19, 1] [3, 15, 1] -------------- = ---------- [19, 19, 15] [19, 15] denominator=, [19, 19, 16] [4, 19, 19] [4, 19] ------------ = -------- [19, 19, 16] [19, 16] [9, 19, 18] [9, 18] ------------ = -------- [19, 19, 16] [19, 16] [14, 19, 17] [14, 17] ------------ = -------- [19, 19, 16] [19, 16] [1, 4, 19, 15] [1, 4, 15] -------------- = ---------- [19, 19, 16] [19, 16] [1, 9, 19, 14] [1, 9, 14] -------------- = ---------- [19, 19, 16] [19, 16] [1, 14, 19, 13] [1, 14, 13] --------------- = ----------- [19, 19, 16] [19, 16] [2, 4, 19, 11] [2, 4, 11] -------------- = ---------- [19, 19, 16] [19, 16] [2, 9, 19, 10] [2, 9, 10] -------------- = ---------- [19, 19, 16] [19, 16] [2, 14, 19, 9] [2, 14, 9] -------------- = ---------- [19, 19, 16] [19, 16] [3, 4, 19, 7] [3, 4, 7] ------------- = --------- [19, 19, 16] [19, 16] [3, 9, 19, 6] [3, 9, 6] ------------- = --------- [19, 19, 16] [19, 16] [3, 14, 19, 5] [3, 14, 5] -------------- = ---------- [19, 19, 16] [19, 16] [4, 4, 19, 3] [4, 4, 3] ------------- = --------- [19, 19, 16] [19, 16] [4, 9, 19, 2] [4, 9, 2] ------------- = --------- [19, 19, 16] [19, 16] [4, 14, 19, 1] [4, 14, 1] -------------- = ---------- [19, 19, 16] [19, 16] denominator=, [19, 19, 18] [9, 19, 19] [9, 19] ------------ = -------- [19, 19, 18] [19, 18] [1, 9, 19, 17] [1, 9, 17] -------------- = ---------- [19, 19, 18] [19, 18] [2, 9, 19, 15] [2, 9, 15] -------------- = ---------- [19, 19, 18] [19, 18] [3, 9, 19, 13] [3, 9, 13] -------------- = ---------- [19, 19, 18] [19, 18] [4, 9, 19, 11] [4, 9, 11] -------------- = ---------- [19, 19, 18] [19, 18] [5, 9, 19, 9] [5, 9, 9] ------------- = --------- [19, 19, 18] [19, 18] [6, 9, 19, 7] [6, 9, 7] ------------- = --------- [19, 19, 18] [19, 18] [7, 9, 19, 5] [7, 9, 5] ------------- = --------- [19, 19, 18] [19, 18] [8, 9, 19, 3] [8, 9, 3] ------------- = --------- [19, 19, 18] [19, 18] [9, 9, 19, 1] [9, 9, 1] ------------- = --------- [19, 19, 18] [19, 18] ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations in base, 20, with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator=, [2, 2, 0] [1, 2, 1, 0] [1, 1, 0] ------------ = --------- [2, 2, 0] [2, 0] denominator=, [3, 2, 17] [1, 3, 0, 18] [1, 0, 18] ------------- = ---------- [3, 2, 17] [2, 17] denominator=, [3, 3, 0] [1, 3, 2, 0] [1, 2, 0] ------------ = --------- [3, 3, 0] [3, 0] [2, 3, 1, 0] [2, 1, 0] ------------ = --------- [3, 3, 0] [3, 0] denominator=, [4, 3, 12] [1, 4, 0, 14] [1, 0, 14] ------------- = ---------- [4, 3, 12] [3, 12] denominator=, [4, 3, 16] [1, 4, 1, 17] [1, 1, 17] ------------- = ---------- [4, 3, 16] [3, 16] denominator=, [4, 3, 18] [2, 4, 0, 19] [2, 0, 19] ------------- = ---------- [4, 3, 18] [3, 18] denominator=, [4, 4, 0] [1, 4, 3, 0] [1, 3, 0] ------------ = --------- [4, 4, 0] [4, 0] [2, 4, 2, 0] [2, 2, 0] ------------ = --------- [4, 4, 0] [4, 0] [3, 4, 1, 0] [3, 1, 0] ------------ = --------- [4, 4, 0] [4, 0] denominator=, [4, 4, 2] [2, 4, 3, 1] [2, 3, 1] ------------ = --------- [4, 4, 2] [4, 2] [6, 4, 0, 19] [6, 0, 19] ------------- = ---------- [4, 4, 2] [4, 2] denominator=, [5, 4, 5] [1, 5, 0, 8] [1, 0, 8] ------------ = --------- [5, 4, 5] [4, 5] denominator=, [5, 4, 10] [1, 5, 1, 12] [1, 1, 12] ------------- = ---------- [5, 4, 10] [4, 10] denominator=, [5, 4, 15] [1, 5, 2, 16] [1, 2, 16] ------------- = ---------- [5, 4, 15] [4, 15] [2, 5, 0, 17] [2, 0, 17] ------------- = ---------- [5, 4, 15] [4, 15] denominator=, [5, 5, 0] [1, 5, 4, 0] [1, 4, 0] ------------ = --------- [5, 5, 0] [5, 0] [2, 5, 3, 0] [2, 3, 0] ------------ = --------- [5, 5, 0] [5, 0] [3, 5, 2, 0] [3, 2, 0] ------------ = --------- [5, 5, 0] [5, 0] [4, 5, 1, 0] [4, 1, 0] ------------ = --------- [5, 5, 0] [5, 0] denominator=, [6, 4, 16] [1, 6, 0, 0] [1, 0, 0] ------------ = --------- [6, 4, 16] [4, 16] denominator=, [6, 5, 2] [1, 6, 1, 5] [1, 1, 5] ------------ = --------- [6, 5, 2] [5, 2] denominator=, [6, 5, 8] [1, 6, 2, 10] [1, 2, 10] ------------- = ---------- [6, 5, 8] [5, 8] denominator=, [6, 5, 11] [2, 6, 0, 14] [2, 0, 14] ------------- = ---------- [6, 5, 11] [5, 11] denominator=, [6, 5, 14] [1, 6, 3, 15] [1, 3, 15] ------------- = ---------- [6, 5, 14] [5, 14] [2, 6, 1, 16] [2, 1, 16] ------------- = ---------- [6, 5, 14] [5, 14] denominator=, [6, 5, 16] [3, 6, 0, 18] [3, 0, 18] ------------- = ---------- [6, 5, 16] [5, 16] denominator=, [6, 5, 17] [2, 6, 2, 18] [2, 2, 18] ------------- = ---------- [6, 5, 17] [5, 17] denominator=, [6, 5, 18] [3, 6, 1, 19] [3, 1, 19] ------------- = ---------- [6, 5, 18] [5, 18] denominator=, [6, 6, 0] [1, 6, 5, 0] [1, 5, 0] ------------ = --------- [6, 6, 0] [6, 0] [2, 6, 4, 0] [2, 4, 0] ------------ = --------- [6, 6, 0] [6, 0] [3, 6, 3, 0] [3, 3, 0] ------------ = --------- [6, 6, 0] [6, 0] [4, 6, 2, 0] [4, 2, 0] ------------ = --------- [6, 6, 0] [6, 0] [5, 6, 1, 0] [5, 1, 0] ------------ = --------- [6, 6, 0] [6, 0] denominator=, [6, 6, 2] [3, 6, 4, 1] [3, 4, 1] ------------ = --------- [6, 6, 2] [6, 2] denominator=, [6, 6, 3] [2, 6, 5, 2] [2, 5, 2] ------------ = --------- [6, 6, 3] [6, 3] [4, 6, 4, 1] [4, 4, 1] ------------ = --------- [6, 6, 3] [6, 3] [8, 6, 1, 19] [8, 1, 19] ------------- = ---------- [6, 6, 3] [6, 3] [10, 6, 0, 18] [10, 0, 18] -------------- = ----------- [6, 6, 3] [6, 3] denominator=, [6, 6, 4] [3, 6, 5, 2] [3, 5, 2] ------------ = --------- [6, 6, 4] [6, 4] [9, 6, 2, 18] [9, 2, 18] ------------- = ---------- [6, 6, 4] [6, 4] [15, 6, 0, 14] [15, 0, 14] -------------- = ----------- [6, 6, 4] [6, 4] denominator=, [7, 5, 12] [1, 7, 0, 16] [1, 0, 16] ------------- = ---------- [7, 5, 12] [5, 12] denominator=, [7, 5, 19] [1, 7, 2, 2] [1, 2, 2] ------------ = --------- [7, 5, 19] [5, 19] denominator=, [7, 6, 6] [1, 7, 3, 8] [1, 3, 8] ------------ = --------- [7, 6, 6] [6, 6] [2, 7, 0, 10] [2, 0, 10] ------------- = ---------- [7, 6, 6] [6, 6] denominator=, [7, 6, 13] [1, 7, 4, 14] [1, 4, 14] ------------- = ---------- [7, 6, 13] [6, 13] [2, 7, 2, 15] [2, 2, 15] ------------- = ---------- [7, 6, 13] [6, 13] [3, 7, 0, 16] [3, 0, 16] ------------- = ---------- [7, 6, 13] [6, 13] denominator=, [7, 7, 0] [1, 7, 6, 0] [1, 6, 0] ------------ = --------- [7, 7, 0] [7, 0] [2, 7, 5, 0] [2, 5, 0] ------------ = --------- [7, 7, 0] [7, 0] [3, 7, 4, 0] [3, 4, 0] ------------ = --------- [7, 7, 0] [7, 0] [4, 7, 3, 0] [4, 3, 0] ------------ = --------- [7, 7, 0] [7, 0] [5, 7, 2, 0] [5, 2, 0] ------------ = --------- [7, 7, 0] [7, 0] [6, 7, 1, 0] [6, 1, 0] ------------ = --------- [7, 7, 0] [7, 0] denominator=, [8, 6, 0] [1, 8, 0, 5] [1, 0, 5] ------------ = --------- [8, 6, 0] [6, 0] denominator=, [8, 6, 8] [1, 8, 1, 12] [1, 1, 12] ------------- = ---------- [8, 6, 8] [6, 8] denominator=, [8, 6, 16] [1, 8, 2, 19] [1, 2, 19] ------------- = ---------- [8, 6, 16] [6, 16] denominator=, [8, 7, 0] [2, 8, 0, 5] [2, 0, 5] ------------ = --------- [8, 7, 0] [7, 0] denominator=, [8, 7, 4] [1, 8, 4, 6] [1, 4, 6] ------------ = --------- [8, 7, 4] [7, 4] [2, 8, 1, 8] [2, 1, 8] ------------ = --------- [8, 7, 4] [7, 4] denominator=, [8, 7, 8] [2, 8, 2, 11] [2, 2, 11] ------------- = ---------- [8, 7, 8] [7, 8] denominator=, [8, 7, 12] [1, 8, 5, 13] [1, 5, 13] ------------- = ---------- [8, 7, 12] [7, 12] [2, 8, 3, 14] [2, 3, 14] ------------- = ---------- [8, 7, 12] [7, 12] [3, 8, 1, 15] [3, 1, 15] ------------- = ---------- [8, 7, 12] [7, 12] denominator=, [8, 7, 14] [4, 8, 0, 17] [4, 0, 17] ------------- = ---------- [8, 7, 14] [7, 14] denominator=, [8, 7, 16] [2, 8, 4, 17] [2, 4, 17] ------------- = ---------- [8, 7, 16] [7, 16] [4, 8, 1, 18] [4, 1, 18] ------------- = ---------- [8, 7, 16] [7, 16] denominator=, [8, 7, 18] [4, 8, 2, 19] [4, 2, 19] ------------- = ---------- [8, 7, 18] [7, 18] denominator=, [8, 8, 0] [1, 8, 7, 0] [1, 7, 0] ------------ = --------- [8, 8, 0] [8, 0] [2, 8, 6, 0] [2, 6, 0] ------------ = --------- [8, 8, 0] [8, 0] [3, 8, 5, 0] [3, 5, 0] ------------ = --------- [8, 8, 0] [8, 0] [4, 8, 4, 0] [4, 4, 0] ------------ = --------- [8, 8, 0] [8, 0] [5, 8, 3, 0] [5, 3, 0] ------------ = --------- [8, 8, 0] [8, 0] [6, 8, 2, 0] [6, 2, 0] ------------ = --------- [8, 8, 0] [8, 0] [7, 8, 1, 0] [7, 1, 0] ------------ = --------- [8, 8, 0] [8, 0] denominator=, [8, 8, 2] [4, 8, 5, 1] [4, 5, 1] ------------ = --------- [8, 8, 2] [8, 2] denominator=, [8, 8, 4] [2, 8, 7, 3] [2, 7, 3] ------------ = --------- [8, 8, 4] [8, 4] [4, 8, 6, 2] [4, 6, 2] ------------ = --------- [8, 8, 4] [8, 4] [6, 8, 5, 1] [6, 5, 1] ------------ = --------- [8, 8, 4] [8, 4] [10, 8, 2, 19] [10, 2, 19] -------------- = ----------- [8, 8, 4] [8, 4] [12, 8, 1, 18] [12, 1, 18] -------------- = ----------- [8, 8, 4] [8, 4] [14, 8, 0, 17] [14, 0, 17] -------------- = ----------- [8, 8, 4] [8, 4] denominator=, [8, 8, 6] [4, 8, 7, 3] [4, 7, 3] ------------ = --------- [8, 8, 6] [8, 6] [12, 8, 4, 17] [12, 4, 17] -------------- = ----------- [8, 8, 6] [8, 6] [1, 0, 8, 2, 11] [1, 0, 2, 11] ---------------- = ------------- [8, 8, 6] [8, 6] [1, 8, 8, 0, 5] [1, 8, 0, 5] --------------- = ------------ [8, 8, 6] [8, 6] denominator=, [9, 6, 15] [1, 9, 1, 0] [1, 1, 0] ------------ = --------- [9, 6, 15] [6, 15] denominator=, [9, 7, 4] [1, 9, 2, 8] [1, 2, 8] ------------ = --------- [9, 7, 4] [7, 4] denominator=, [9, 7, 13] [1, 9, 3, 16] [1, 3, 16] ------------- = ---------- [9, 7, 13] [7, 13] denominator=, [9, 8, 2] [1, 9, 5, 4] [1, 5, 4] ------------ = --------- [9, 8, 2] [8, 2] [2, 9, 2, 6] [2, 2, 6] ------------ = --------- [9, 8, 2] [8, 2] denominator=, [9, 8, 5] [3, 9, 0, 10] [3, 0, 10] ------------- = ---------- [9, 8, 5] [8, 5] denominator=, [9, 8, 8] [3, 9, 1, 12] [3, 1, 12] ------------- = ---------- [9, 8, 8] [8, 8] denominator=, [9, 8, 11] [1, 9, 6, 12] [1, 6, 12] ------------- = ---------- [9, 8, 11] [8, 11] [2, 9, 4, 13] [2, 4, 13] ------------- = ---------- [9, 8, 11] [8, 11] [3, 9, 2, 14] [3, 2, 14] ------------- = ---------- [9, 8, 11] [8, 11] [4, 9, 0, 15] [4, 0, 15] ------------- = ---------- [9, 8, 11] [8, 11] denominator=, [9, 8, 14] [3, 9, 3, 16] [3, 3, 16] ------------- = ---------- [9, 8, 14] [8, 14] denominator=, [9, 8, 17] [3, 9, 4, 18] [3, 4, 18] ------------- = ---------- [9, 8, 17] [8, 17] [6, 9, 0, 19] [6, 0, 19] ------------- = ---------- [9, 8, 17] [8, 17] denominator=, [9, 9, 0] [1, 9, 8, 0] [1, 8, 0] ------------ = --------- [9, 9, 0] [9, 0] [2, 9, 7, 0] [2, 7, 0] ------------ = --------- [9, 9, 0] [9, 0] [3, 9, 6, 0] [3, 6, 0] ------------ = --------- [9, 9, 0] [9, 0] [4, 9, 5, 0] [4, 5, 0] ------------ = --------- [9, 9, 0] [9, 0] [5, 9, 4, 0] [5, 4, 0] ------------ = --------- [9, 9, 0] [9, 0] [6, 9, 3, 0] [6, 3, 0] ------------ = --------- [9, 9, 0] [9, 0] [7, 9, 2, 0] [7, 2, 0] ------------ = --------- [9, 9, 0] [9, 0] [8, 9, 1, 0] [8, 1, 0] ------------ = --------- [9, 9, 0] [9, 0] denominator=, [9, 9, 3] [3, 9, 7, 2] [3, 7, 2] ------------ = --------- [9, 9, 3] [9, 3] [6, 9, 5, 1] [6, 5, 1] ------------ = --------- [9, 9, 3] [9, 3] [12, 9, 0, 19] [12, 0, 19] -------------- = ----------- [9, 9, 3] [9, 3] denominator=, [9, 9, 6] [3, 9, 8, 4] [3, 8, 4] ------------ = --------- [9, 9, 6] [9, 6] [6, 9, 7, 2] [6, 7, 2] ------------ = --------- [9, 9, 6] [9, 6] [12, 9, 4, 18] [12, 4, 18] -------------- = ----------- [9, 9, 6] [9, 6] [15, 9, 3, 16] [15, 3, 16] -------------- = ----------- [9, 9, 6] [9, 6] [1, 1, 9, 1, 12] [1, 1, 1, 12] ---------------- = ------------- [9, 9, 6] [9, 6] [1, 4, 9, 0, 10] [1, 4, 0, 10] ---------------- = ------------- [9, 9, 6] [9, 6] denominator=, [10, 7, 0] [1, 10, 0, 6] [1, 0, 6] ------------- = --------- [10, 7, 0] [7, 0] denominator=, [10, 7, 10] [1, 10, 1, 15] [1, 1, 15] -------------- = ---------- [10, 7, 10] [7, 10] denominator=, [10, 8, 0] [1, 10, 3, 4] [1, 3, 4] ------------- = --------- [10, 8, 0] [8, 0] denominator=, [10, 8, 10] [1, 10, 4, 13] [1, 4, 13] -------------- = ---------- [10, 8, 10] [8, 10] [2, 10, 0, 16] [2, 0, 16] -------------- = ---------- [10, 8, 10] [8, 10] denominator=, [10, 8, 15] [2, 10, 2, 0] [2, 2, 0] ------------- = --------- [10, 8, 15] [8, 15] denominator=, [10, 9, 0] [1, 10, 6, 2] [1, 6, 2] ------------- = --------- [10, 9, 0] [9, 0] [2, 10, 3, 4] [2, 3, 4] ------------- = --------- [10, 9, 0] [9, 0] [3, 10, 0, 6] [3, 0, 6] ------------- = --------- [10, 9, 0] [9, 0] denominator=, [10, 9, 5] [2, 10, 4, 8] [2, 4, 8] ------------- = --------- [10, 9, 5] [9, 5] denominator=, [10, 9, 10] [1, 10, 7, 11] [1, 7, 11] -------------- = ---------- [10, 9, 10] [9, 10] [2, 10, 5, 12] [2, 5, 12] -------------- = ---------- [10, 9, 10] [9, 10] [3, 10, 3, 13] [3, 3, 13] -------------- = ---------- [10, 9, 10] [9, 10] [4, 10, 1, 14] [4, 1, 14] -------------- = ---------- [10, 9, 10] [9, 10] denominator=, [10, 9, 12] [5, 10, 0, 16] [5, 0, 16] -------------- = ---------- [10, 9, 12] [9, 12] denominator=, [10, 9, 14] [5, 10, 1, 17] [5, 1, 17] -------------- = ---------- [10, 9, 14] [9, 14] denominator=, [10, 9, 15] [2, 10, 6, 16] [2, 6, 16] -------------- = ---------- [10, 9, 15] [9, 15] [4, 10, 3, 17] [4, 3, 17] -------------- = ---------- [10, 9, 15] [9, 15] [6, 10, 0, 18] [6, 0, 18] -------------- = ---------- [10, 9, 15] [9, 15] denominator=, [10, 9, 16] [5, 10, 2, 18] [5, 2, 18] -------------- = ---------- [10, 9, 16] [9, 16] denominator=, [10, 9, 18] [5, 10, 3, 19] [5, 3, 19] -------------- = ---------- [10, 9, 18] [9, 18] denominator=, [10, 10, 0] [1, 10, 9, 0] [1, 9, 0] ------------- = --------- [10, 10, 0] [10, 0] [2, 10, 8, 0] [2, 8, 0] ------------- = --------- [10, 10, 0] [10, 0] [3, 10, 7, 0] [3, 7, 0] ------------- = --------- [10, 10, 0] [10, 0] [4, 10, 6, 0] [4, 6, 0] ------------- = --------- [10, 10, 0] [10, 0] [5, 10, 5, 0] [5, 5, 0] ------------- = --------- [10, 10, 0] [10, 0] [6, 10, 4, 0] [6, 4, 0] ------------- = --------- [10, 10, 0] [10, 0] [7, 10, 3, 0] [7, 3, 0] ------------- = --------- [10, 10, 0] [10, 0] [8, 10, 2, 0] [8, 2, 0] ------------- = --------- [10, 10, 0] [10, 0] [9, 10, 1, 0] [9, 1, 0] ------------- = --------- [10, 10, 0] [10, 0] denominator=, [10, 10, 2] [5, 10, 6, 1] [5, 6, 1] ------------- = --------- [10, 10, 2] [10, 2] denominator=, [10, 10, 4] [5, 10, 7, 2] [5, 7, 2] ------------- = --------- [10, 10, 4] [10, 4] [15, 10, 0, 18] [15, 0, 18] --------------- = ----------- [10, 10, 4] [10, 4] denominator=, [10, 10, 5] [2, 10, 9, 4] [2, 9, 4] ------------- = --------- [10, 10, 5] [10, 5] [4, 10, 8, 3] [4, 8, 3] ------------- = --------- [10, 10, 5] [10, 5] [6, 10, 7, 2] [6, 7, 2] ------------- = --------- [10, 10, 5] [10, 5] [8, 10, 6, 1] [8, 6, 1] ------------- = --------- [10, 10, 5] [10, 5] [12, 10, 3, 19] [12, 3, 19] --------------- = ----------- [10, 10, 5] [10, 5] [14, 10, 2, 18] [14, 2, 18] --------------- = ----------- [10, 10, 5] [10, 5] [16, 10, 1, 17] [16, 1, 17] --------------- = ----------- [10, 10, 5] [10, 5] [18, 10, 0, 16] [18, 0, 16] --------------- = ----------- [10, 10, 5] [10, 5] denominator=, [10, 10, 6] [5, 10, 8, 3] [5, 8, 3] ------------- = --------- [10, 10, 6] [10, 6] [15, 10, 3, 17] [15, 3, 17] --------------- = ----------- [10, 10, 6] [10, 6] denominator=, [10, 10, 8] [5, 10, 9, 4] [5, 9, 4] ------------- = --------- [10, 10, 8] [10, 8] [15, 10, 6, 16] [15, 6, 16] --------------- = ----------- [10, 10, 8] [10, 8] [1, 5, 10, 4, 8] [1, 5, 4, 8] ---------------- = ------------ [10, 10, 8] [10, 8] [1, 15, 10, 2, 0] [1, 15, 2, 0] ----------------- = ------------- [10, 10, 8] [10, 8] denominator=, [11, 7, 14] [1, 11, 1, 0] [1, 1, 0] ------------- = --------- [11, 7, 14] [7, 14] denominator=, [11, 8, 5] [1, 11, 2, 10] [1, 2, 10] -------------- = ---------- [11, 8, 5] [8, 5] denominator=, [11, 8, 16] [1, 11, 4, 0] [1, 4, 0] ------------- = --------- [11, 8, 16] [8, 16] denominator=, [11, 9, 7] [1, 11, 5, 10] [1, 5, 10] -------------- = ---------- [11, 9, 7] [9, 7] [2, 11, 1, 13] [2, 1, 13] -------------- = ---------- [11, 9, 7] [9, 7] denominator=, [11, 9, 18] [1, 11, 7, 0] [1, 7, 0] ------------- = --------- [11, 9, 18] [9, 18] [2, 11, 4, 2] [2, 4, 2] ------------- = --------- [11, 9, 18] [9, 18] [3, 11, 1, 4] [3, 1, 4] ------------- = --------- [11, 9, 18] [9, 18] denominator=, [11, 10, 9] [1, 11, 8, 10] [1, 8, 10] -------------- = ---------- [11, 10, 9] [10, 9] [2, 11, 6, 11] [2, 6, 11] -------------- = ---------- [11, 10, 9] [10, 9] [3, 11, 4, 12] [3, 4, 12] -------------- = ---------- [11, 10, 9] [10, 9] [4, 11, 2, 13] [4, 2, 13] -------------- = ---------- [11, 10, 9] [10, 9] [5, 11, 0, 14] [5, 0, 14] -------------- = ---------- [11, 10, 9] [10, 9] denominator=, [11, 11, 0] [1, 11, 10, 0] [1, 10, 0] -------------- = ---------- [11, 11, 0] [11, 0] [2, 11, 9, 0] [2, 9, 0] ------------- = --------- [11, 11, 0] [11, 0] [3, 11, 8, 0] [3, 8, 0] ------------- = --------- [11, 11, 0] [11, 0] [4, 11, 7, 0] [4, 7, 0] ------------- = --------- [11, 11, 0] [11, 0] [5, 11, 6, 0] [5, 6, 0] ------------- = --------- [11, 11, 0] [11, 0] [6, 11, 5, 0] [6, 5, 0] ------------- = --------- [11, 11, 0] [11, 0] [7, 11, 4, 0] [7, 4, 0] ------------- = --------- [11, 11, 0] [11, 0] [8, 11, 3, 0] [8, 3, 0] ------------- = --------- [11, 11, 0] [11, 0] [9, 11, 2, 0] [9, 2, 0] ------------- = --------- [11, 11, 0] [11, 0] [10, 11, 1, 0] [10, 1, 0] -------------- = ---------- [11, 11, 0] [11, 0] denominator=, [12, 7, 16] [1, 12, 0, 3] [1, 0, 3] ------------- = --------- [12, 7, 16] [7, 16] denominator=, [12, 8, 8] [1, 12, 1, 14] [1, 1, 14] -------------- = ---------- [12, 8, 8] [8, 8] denominator=, [12, 9, 0] [1, 12, 3, 5] [1, 3, 5] ------------- = --------- [12, 9, 0] [9, 0] denominator=, [12, 9, 12] [1, 12, 4, 16] [1, 4, 16] -------------- = ---------- [12, 9, 12] [9, 12] [2, 12, 0, 0] [2, 0, 0] ------------- = --------- [12, 9, 12] [9, 12] denominator=, [12, 9, 18] [2, 12, 1, 5] [2, 1, 5] ------------- = --------- [12, 9, 18] [9, 18] denominator=, [12, 10, 4] [1, 12, 6, 7] [1, 6, 7] ------------- = --------- [12, 10, 4] [10, 4] [2, 12, 2, 10] [2, 2, 10] -------------- = ---------- [12, 10, 4] [10, 4] denominator=, [12, 10, 10] [2, 12, 3, 15] [2, 3, 15] -------------- = ---------- [12, 10, 10] [10, 10] denominator=, [12, 10, 12] [3, 12, 0, 19] [3, 0, 19] -------------- = ---------- [12, 10, 12] [10, 12] denominator=, [12, 10, 16] [1, 12, 7, 18] [1, 7, 18] -------------- = ---------- [12, 10, 16] [10, 16] [2, 12, 5, 0] [2, 5, 0] ------------- = --------- [12, 10, 16] [10, 16] [3, 12, 2, 2] [3, 2, 2] ------------- = --------- [12, 10, 16] [10, 16] denominator=, [12, 10, 19] [4, 12, 0, 6] [4, 0, 6] ------------- = --------- [12, 10, 19] [10, 19] denominator=, [12, 11, 0] [3, 12, 3, 5] [3, 3, 5] ------------- = --------- [12, 11, 0] [11, 0] denominator=, [12, 11, 2] [2, 12, 6, 5] [2, 6, 5] ------------- = --------- [12, 11, 2] [11, 2] [4, 12, 1, 8] [4, 1, 8] ------------- = --------- [12, 11, 2] [11, 2] denominator=, [12, 11, 4] [3, 12, 4, 8] [3, 4, 8] ------------- = --------- [12, 11, 4] [11, 4] denominator=, [12, 11, 5] [4, 12, 2, 10] [4, 2, 10] -------------- = ---------- [12, 11, 5] [11, 5] denominator=, [12, 11, 8] [1, 12, 9, 9] [1, 9, 9] ------------- = --------- [12, 11, 8] [11, 8] [2, 12, 7, 10] [2, 7, 10] -------------- = ---------- [12, 11, 8] [11, 8] [3, 12, 5, 11] [3, 5, 11] -------------- = ---------- [12, 11, 8] [11, 8] [4, 12, 3, 12] [4, 3, 12] -------------- = ---------- [12, 11, 8] [11, 8] [5, 12, 1, 13] [5, 1, 13] -------------- = ---------- [12, 11, 8] [11, 8] denominator=, [12, 11, 10] [6, 12, 0, 15] [6, 0, 15] -------------- = ---------- [12, 11, 10] [11, 10] denominator=, [12, 11, 11] [4, 12, 4, 14] [4, 4, 14] -------------- = ---------- [12, 11, 11] [11, 11] denominator=, [12, 11, 12] [3, 12, 6, 14] [3, 6, 14] -------------- = ---------- [12, 11, 12] [11, 12] [6, 12, 1, 16] [6, 1, 16] -------------- = ---------- [12, 11, 12] [11, 12] denominator=, [12, 11, 14] [2, 12, 8, 15] [2, 8, 15] -------------- = ---------- [12, 11, 14] [11, 14] [4, 12, 5, 16] [4, 5, 16] -------------- = ---------- [12, 11, 14] [11, 14] [6, 12, 2, 17] [6, 2, 17] -------------- = ---------- [12, 11, 14] [11, 14] denominator=, [12, 11, 16] [3, 12, 7, 17] [3, 7, 17] -------------- = ---------- [12, 11, 16] [11, 16] [6, 12, 3, 18] [6, 3, 18] -------------- = ---------- [12, 11, 16] [11, 16] denominator=, [12, 11, 17] [4, 12, 6, 18] [4, 6, 18] -------------- = ---------- [12, 11, 17] [11, 17] [8, 12, 1, 19] [8, 1, 19] -------------- = ---------- [12, 11, 17] [11, 17] denominator=, [12, 11, 18] [6, 12, 4, 19] [6, 4, 19] -------------- = ---------- [12, 11, 18] [11, 18] denominator=, [12, 12, 0] [1, 12, 11, 0] [1, 11, 0] -------------- = ---------- [12, 12, 0] [12, 0] [2, 12, 10, 0] [2, 10, 0] -------------- = ---------- [12, 12, 0] [12, 0] [3, 12, 9, 0] [3, 9, 0] ------------- = --------- [12, 12, 0] [12, 0] [4, 12, 8, 0] [4, 8, 0] ------------- = --------- [12, 12, 0] [12, 0] [5, 12, 7, 0] [5, 7, 0] ------------- = --------- [12, 12, 0] [12, 0] [6, 12, 6, 0] [6, 6, 0] ------------- = --------- [12, 12, 0] [12, 0] [7, 12, 5, 0] [7, 5, 0] ------------- = --------- [12, 12, 0] [12, 0] [8, 12, 4, 0] [8, 4, 0] ------------- = --------- [12, 12, 0] [12, 0] [9, 12, 3, 0] [9, 3, 0] ------------- = --------- [12, 12, 0] [12, 0] [10, 12, 2, 0] [10, 2, 0] -------------- = ---------- [12, 12, 0] [12, 0] [11, 12, 1, 0] [11, 1, 0] -------------- = ---------- [12, 12, 0] [12, 0] denominator=, [12, 12, 2] [6, 12, 7, 1] [6, 7, 1] ------------- = --------- [12, 12, 2] [12, 2] denominator=, [12, 12, 3] [4, 12, 9, 2] [4, 9, 2] ------------- = --------- [12, 12, 3] [12, 3] [8, 12, 6, 1] [8, 6, 1] ------------- = --------- [12, 12, 3] [12, 3] denominator=, [12, 12, 4] [3, 12, 10, 3] [3, 10, 3] -------------- = ---------- [12, 12, 4] [12, 4] [6, 12, 8, 2] [6, 8, 2] ------------- = --------- [12, 12, 4] [12, 4] [9, 12, 6, 1] [9, 6, 1] ------------- = --------- [12, 12, 4] [12, 4] [15, 12, 1, 19] [15, 1, 19] --------------- = ----------- [12, 12, 4] [12, 4] denominator=, [12, 12, 6] [2, 12, 11, 5] [2, 11, 5] -------------- = ---------- [12, 12, 6] [12, 6] [4, 12, 10, 4] [4, 10, 4] -------------- = ---------- [12, 12, 6] [12, 6] [6, 12, 9, 3] [6, 9, 3] ------------- = --------- [12, 12, 6] [12, 6] [8, 12, 8, 2] [8, 8, 2] ------------- = --------- [12, 12, 6] [12, 6] [10, 12, 7, 1] [10, 7, 1] -------------- = ---------- [12, 12, 6] [12, 6] [14, 12, 4, 19] [14, 4, 19] --------------- = ----------- [12, 12, 6] [12, 6] [16, 12, 3, 18] [16, 3, 18] --------------- = ----------- [12, 12, 6] [12, 6] [18, 12, 2, 17] [18, 2, 17] --------------- = ----------- [12, 12, 6] [12, 6] [1, 0, 12, 1, 16] [1, 0, 1, 16] ----------------- = ------------- [12, 12, 6] [12, 6] [1, 2, 12, 0, 15] [1, 2, 0, 15] ----------------- = ------------- [12, 12, 6] [12, 6] denominator=, [12, 12, 8] [3, 12, 11, 6] [3, 11, 6] -------------- = ---------- [12, 12, 8] [12, 8] [6, 12, 10, 4] [6, 10, 4] -------------- = ---------- [12, 12, 8] [12, 8] [9, 12, 9, 2] [9, 9, 2] ------------- = --------- [12, 12, 8] [12, 8] [15, 12, 6, 18] [15, 6, 18] --------------- = ----------- [12, 12, 8] [12, 8] [18, 12, 5, 16] [18, 5, 16] --------------- = ----------- [12, 12, 8] [12, 8] [1, 1, 12, 4, 14] [1, 1, 4, 14] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 7, 12, 2, 10] [1, 7, 2, 10] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 10, 12, 1, 8] [1, 10, 1, 8] ----------------- = ------------- [12, 12, 8] [12, 8] [1, 13, 12, 0, 6] [1, 13, 0, 6] ----------------- = ------------- [12, 12, 8] [12, 8] denominator=, [12, 12, 9] [4, 12, 11, 6] [4, 11, 6] -------------- = ---------- [12, 12, 9] [12, 9] [8, 12, 10, 3] [8, 10, 3] -------------- = ---------- [12, 12, 9] [12, 9] [16, 12, 7, 17] [16, 7, 17] --------------- = ----------- [12, 12, 9] [12, 9] [1, 0, 12, 6, 14] [1, 0, 6, 14] ----------------- = ------------- [12, 12, 9] [12, 9] [1, 8, 12, 4, 8] [1, 8, 4, 8] ---------------- = ------------ [12, 12, 9] [12, 9] [1, 12, 12, 3, 5] [1, 12, 3, 5] ----------------- = ------------- [12, 12, 9] [12, 9] [2, 0, 12, 0, 19] [2, 0, 0, 19] ----------------- = ------------- [12, 12, 9] [12, 9] denominator=, [12, 12, 10] [6, 12, 11, 5] [6, 11, 5] -------------- = ---------- [12, 12, 10] [12, 10] [18, 12, 8, 15] [18, 8, 15] --------------- = ----------- [12, 12, 10] [12, 10] [1, 10, 12, 6, 5] [1, 10, 6, 5] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 2, 12, 3, 15] [2, 2, 3, 15] ----------------- = ------------- [12, 12, 10] [12, 10] [2, 14, 12, 1, 5] [2, 14, 1, 5] ----------------- = ------------- [12, 12, 10] [12, 10] denominator=, [13, 8, 9] [1, 13, 0, 16] [1, 0, 16] -------------- = ---------- [13, 8, 9] [8, 9] denominator=, [13, 9, 2] [1, 13, 2, 8] [1, 2, 8] ------------- = --------- [13, 9, 2] [9, 2] denominator=, [13, 9, 15] [1, 13, 4, 0] [1, 4, 0] ------------- = --------- [13, 9, 15] [9, 15] denominator=, [13, 10, 8] [1, 13, 5, 12] [1, 5, 12] -------------- = ---------- [13, 10, 8] [10, 8] [2, 13, 0, 16] [2, 0, 16] -------------- = ---------- [13, 10, 8] [10, 8] denominator=, [13, 11, 1] [1, 13, 7, 4] [1, 7, 4] ------------- = --------- [13, 11, 1] [11, 1] [2, 13, 3, 7] [2, 3, 7] ------------- = --------- [13, 11, 1] [11, 1] denominator=, [13, 11, 14] [1, 13, 8, 16] [1, 8, 16] -------------- = ---------- [13, 11, 14] [11, 14] [2, 13, 5, 18] [2, 5, 18] -------------- = ---------- [13, 11, 14] [11, 14] [3, 13, 3, 0] [3, 3, 0] ------------- = --------- [13, 11, 14] [11, 14] [4, 13, 0, 2] [4, 0, 2] ------------- = --------- [13, 11, 14] [11, 14] denominator=, [13, 12, 7] [1, 13, 10, 8] [1, 10, 8] -------------- = ---------- [13, 12, 7] [12, 7] [2, 13, 8, 9] [2, 8, 9] ------------- = --------- [13, 12, 7] [12, 7] [3, 13, 6, 10] [3, 6, 10] -------------- = ---------- [13, 12, 7] [12, 7] [4, 13, 4, 11] [4, 4, 11] -------------- = ---------- [13, 12, 7] [12, 7] [5, 13, 2, 12] [5, 2, 12] -------------- = ---------- [13, 12, 7] [12, 7] [6, 13, 0, 13] [6, 0, 13] -------------- = ---------- [13, 12, 7] [12, 7] denominator=, [13, 13, 0] [1, 13, 12, 0] [1, 12, 0] -------------- = ---------- [13, 13, 0] [13, 0] [2, 13, 11, 0] [2, 11, 0] -------------- = ---------- [13, 13, 0] [13, 0] [3, 13, 10, 0] [3, 10, 0] -------------- = ---------- [13, 13, 0] [13, 0] [4, 13, 9, 0] [4, 9, 0] ------------- = --------- [13, 13, 0] [13, 0] [5, 13, 8, 0] [5, 8, 0] ------------- = --------- [13, 13, 0] [13, 0] [6, 13, 7, 0] [6, 7, 0] ------------- = --------- [13, 13, 0] [13, 0] [7, 13, 6, 0] [7, 6, 0] ------------- = --------- [13, 13, 0] [13, 0] [8, 13, 5, 0] [8, 5, 0] ------------- = --------- [13, 13, 0] [13, 0] [9, 13, 4, 0] [9, 4, 0] ------------- = --------- [13, 13, 0] [13, 0] [10, 13, 3, 0] [10, 3, 0] -------------- = ---------- [13, 13, 0] [13, 0] [11, 13, 2, 0] [11, 2, 0] -------------- = ---------- [13, 13, 0] [13, 0] [12, 13, 1, 0] [12, 1, 0] -------------- = ---------- [13, 13, 0] [13, 0] denominator=, [14, 9, 2] [1, 14, 1, 9] [1, 1, 9] ------------- = --------- [14, 9, 2] [9, 2] denominator=, [14, 9, 16] [1, 14, 3, 2] [1, 3, 2] ------------- = --------- [14, 9, 16] [9, 16] denominator=, [14, 10, 10] [1, 14, 4, 15] [1, 4, 15] -------------- = ---------- [14, 10, 10] [10, 10] denominator=, [14, 10, 17] [2, 14, 0, 6] [2, 0, 6] ------------- = --------- [14, 10, 17] [10, 17] denominator=, [14, 11, 4] [1, 14, 6, 8] [1, 6, 8] ------------- = --------- [14, 11, 4] [11, 4] [2, 14, 1, 12] [2, 1, 12] -------------- = ---------- [14, 11, 4] [11, 4] denominator=, [14, 11, 11] [2, 14, 2, 18] [2, 2, 18] -------------- = ---------- [14, 11, 11] [11, 11] denominator=, [14, 11, 18] [1, 14, 8, 1] [1, 8, 1] ------------- = --------- [14, 11, 18] [11, 18] [2, 14, 4, 4] [2, 4, 4] ------------- = --------- [14, 11, 18] [11, 18] [3, 14, 0, 7] [3, 0, 7] ------------- = --------- [14, 11, 18] [11, 18] denominator=, [14, 12, 5] [2, 14, 5, 10] [2, 5, 10] -------------- = ---------- [14, 12, 5] [12, 5] denominator=, [14, 12, 12] [1, 14, 9, 14] [1, 9, 14] -------------- = ---------- [14, 12, 12] [12, 12] [2, 14, 6, 16] [2, 6, 16] -------------- = ---------- [14, 12, 12] [12, 12] [3, 14, 3, 18] [3, 3, 18] -------------- = ---------- [14, 12, 12] [12, 12] [4, 14, 1, 0] [4, 1, 0] ------------- = --------- [14, 12, 12] [12, 12] denominator=, [14, 12, 19] [2, 14, 8, 2] [2, 8, 2] ------------- = --------- [14, 12, 19] [12, 19] [4, 14, 3, 5] [4, 3, 5] ------------- = --------- [14, 12, 19] [12, 19] denominator=, [14, 13, 6] [1, 14, 11, 7] [1, 11, 7] -------------- = ---------- [14, 13, 6] [13, 6] [2, 14, 9, 8] [2, 9, 8] ------------- = --------- [14, 13, 6] [13, 6] [3, 14, 7, 9] [3, 7, 9] ------------- = --------- [14, 13, 6] [13, 6] [4, 14, 5, 10] [4, 5, 10] -------------- = ---------- [14, 13, 6] [13, 6] [5, 14, 3, 11] [5, 3, 11] -------------- = ---------- [14, 13, 6] [13, 6] [6, 14, 1, 12] [6, 1, 12] -------------- = ---------- [14, 13, 6] [13, 6] denominator=, [14, 13, 8] [7, 14, 0, 14] [7, 0, 14] -------------- = ---------- [14, 13, 8] [13, 8] denominator=, [14, 13, 10] [7, 14, 1, 15] [7, 1, 15] -------------- = ---------- [14, 13, 10] [13, 10] denominator=, [14, 13, 12] [7, 14, 2, 16] [7, 2, 16] -------------- = ---------- [14, 13, 12] [13, 12] denominator=, [14, 13, 13] [2, 14, 10, 14] [2, 10, 14] --------------- = ----------- [14, 13, 13] [13, 13] [4, 14, 7, 15] [4, 7, 15] -------------- = ---------- [14, 13, 13] [13, 13] [6, 14, 4, 16] [6, 4, 16] -------------- = ---------- [14, 13, 13] [13, 13] [8, 14, 1, 17] [8, 1, 17] -------------- = ---------- [14, 13, 13] [13, 13] denominator=, [14, 13, 14] [7, 14, 3, 17] [7, 3, 17] -------------- = ---------- [14, 13, 14] [13, 14] denominator=, [14, 13, 16] [7, 14, 4, 18] [7, 4, 18] -------------- = ---------- [14, 13, 16] [13, 16] denominator=, [14, 13, 18] [7, 14, 5, 19] [7, 5, 19] -------------- = ---------- [14, 13, 18] [13, 18] denominator=, [14, 14, 0] [1, 14, 13, 0] [1, 13, 0] -------------- = ---------- [14, 14, 0] [14, 0] [2, 14, 12, 0] [2, 12, 0] -------------- = ---------- [14, 14, 0] [14, 0] [3, 14, 11, 0] [3, 11, 0] -------------- = ---------- [14, 14, 0] [14, 0] [4, 14, 10, 0] [4, 10, 0] -------------- = ---------- [14, 14, 0] [14, 0] [5, 14, 9, 0] [5, 9, 0] ------------- = --------- [14, 14, 0] [14, 0] [6, 14, 8, 0] [6, 8, 0] ------------- = --------- [14, 14, 0] [14, 0] [7, 14, 7, 0] [7, 7, 0] ------------- = --------- [14, 14, 0] [14, 0] [8, 14, 6, 0] [8, 6, 0] ------------- = --------- [14, 14, 0] [14, 0] [9, 14, 5, 0] [9, 5, 0] ------------- = --------- [14, 14, 0] [14, 0] [10, 14, 4, 0] [10, 4, 0] -------------- = ---------- [14, 14, 0] [14, 0] [11, 14, 3, 0] [11, 3, 0] -------------- = ---------- [14, 14, 0] [14, 0] [12, 14, 2, 0] [12, 2, 0] -------------- = ---------- [14, 14, 0] [14, 0] [13, 14, 1, 0] [13, 1, 0] -------------- = ---------- [14, 14, 0] [14, 0] denominator=, [14, 14, 2] [7, 14, 8, 1] [7, 8, 1] ------------- = --------- [14, 14, 2] [14, 2] denominator=, [14, 14, 4] [7, 14, 9, 2] [7, 9, 2] ------------- = --------- [14, 14, 4] [14, 4] denominator=, [14, 14, 6] [7, 14, 10, 3] [7, 10, 3] -------------- = ---------- [14, 14, 6] [14, 6] [1, 1, 14, 1, 17] [1, 1, 1, 17] ----------------- = ------------- [14, 14, 6] [14, 6] denominator=, [14, 14, 7] [2, 14, 13, 6] [2, 13, 6] -------------- = ---------- [14, 14, 7] [14, 7] [4, 14, 12, 5] [4, 12, 5] -------------- = ---------- [14, 14, 7] [14, 7] [6, 14, 11, 4] [6, 11, 4] -------------- = ---------- [14, 14, 7] [14, 7] [8, 14, 10, 3] [8, 10, 3] -------------- = ---------- [14, 14, 7] [14, 7] [10, 14, 9, 2] [10, 9, 2] -------------- = ---------- [14, 14, 7] [14, 7] [12, 14, 8, 1] [12, 8, 1] -------------- = ---------- [14, 14, 7] [14, 7] [16, 14, 5, 19] [16, 5, 19] --------------- = ----------- [14, 14, 7] [14, 7] [18, 14, 4, 18] [18, 4, 18] --------------- = ----------- [14, 14, 7] [14, 7] [1, 0, 14, 3, 17] [1, 0, 3, 17] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 2, 14, 2, 16] [1, 2, 2, 16] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 4, 14, 1, 15] [1, 4, 1, 15] ----------------- = ------------- [14, 14, 7] [14, 7] [1, 6, 14, 0, 14] [1, 6, 0, 14] ----------------- = ------------- [14, 14, 7] [14, 7] denominator=, [14, 14, 8] [7, 14, 11, 4] [7, 11, 4] -------------- = ---------- [14, 14, 8] [14, 8] [1, 1, 14, 4, 16] [1, 1, 4, 16] ----------------- = ------------- [14, 14, 8] [14, 8] denominator=, [14, 14, 10] [7, 14, 12, 5] [7, 12, 5] -------------- = ---------- [14, 14, 10] [14, 10] [1, 1, 14, 7, 15] [1, 1, 7, 15] ----------------- = ------------- [14, 14, 10] [14, 10] [1, 15, 14, 3, 5] [1, 15, 3, 5] ----------------- = ------------- [14, 14, 10] [14, 10] denominator=, [14, 14, 12] [7, 14, 13, 6] [7, 13, 6] -------------- = ---------- [14, 14, 12] [14, 12] [1, 1, 14, 10, 14] [1, 1, 10, 14] ------------------ = -------------- [14, 14, 12] [14, 12] [1, 15, 14, 8, 2] [1, 15, 8, 2] ----------------- = ------------- [14, 14, 12] [14, 12] [2, 9, 14, 5, 10] [2, 9, 5, 10] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 3, 14, 2, 18] [3, 3, 2, 18] ----------------- = ------------- [14, 14, 12] [14, 12] [3, 17, 14, 0, 6] [3, 17, 0, 6] ----------------- = ------------- [14, 14, 12] [14, 12] denominator=, [15, 9, 0] [1, 15, 0, 8] [1, 0, 8] ------------- = --------- [15, 9, 0] [9, 0] denominator=, [15, 9, 15] [1, 15, 2, 2] [1, 2, 2] ------------- = --------- [15, 9, 15] [9, 15] denominator=, [15, 10, 10] [1, 15, 3, 16] [1, 3, 16] -------------- = ---------- [15, 10, 10] [10, 10] denominator=, [15, 11, 5] [1, 15, 5, 10] [1, 5, 10] -------------- = ---------- [15, 11, 5] [11, 5] denominator=, [15, 12, 0] [1, 15, 7, 4] [1, 7, 4] ------------- = --------- [15, 12, 0] [12, 0] [2, 15, 2, 8] [2, 2, 8] ------------- = --------- [15, 12, 0] [12, 0] denominator=, [15, 12, 10] [3, 15, 0, 0] [3, 0, 0] ------------- = --------- [15, 12, 10] [12, 10] denominator=, [15, 12, 15] [1, 15, 8, 18] [1, 8, 18] -------------- = ---------- [15, 12, 15] [12, 15] [2, 15, 5, 1] [2, 5, 1] ------------- = --------- [15, 12, 15] [12, 15] [3, 15, 1, 4] [3, 1, 4] ------------- = --------- [15, 12, 15] [12, 15] denominator=, [15, 13, 0] [3, 15, 2, 8] [3, 2, 8] ------------- = --------- [15, 13, 0] [13, 0] denominator=, [15, 13, 5] [3, 15, 3, 12] [3, 3, 12] -------------- = ---------- [15, 13, 5] [13, 5] denominator=, [15, 13, 10] [1, 15, 10, 12] [1, 10, 12] --------------- = ----------- [15, 13, 10] [13, 10] [2, 15, 7, 14] [2, 7, 14] -------------- = ---------- [15, 13, 10] [13, 10] [3, 15, 4, 16] [3, 4, 16] -------------- = ---------- [15, 13, 10] [13, 10] [4, 15, 1, 18] [4, 1, 18] -------------- = ---------- [15, 13, 10] [13, 10] denominator=, [15, 13, 13] [5, 15, 0, 2] [5, 0, 2] ------------- = --------- [15, 13, 13] [13, 13] denominator=, [15, 13, 15] [3, 15, 6, 0] [3, 6, 0] ------------- = --------- [15, 13, 15] [13, 15] denominator=, [15, 13, 16] [5, 15, 1, 4] [5, 1, 4] ------------- = --------- [15, 13, 16] [13, 16] denominator=, [15, 13, 19] [5, 15, 2, 6] [5, 2, 6] ------------- = --------- [15, 13, 19] [13, 19] denominator=, [15, 14, 0] [3, 15, 7, 4] [3, 7, 4] ------------- = --------- [15, 14, 0] [14, 0] [6, 15, 0, 8] [6, 0, 8] ------------- = --------- [15, 14, 0] [14, 0] denominator=, [15, 14, 2] [5, 15, 3, 8] [5, 3, 8] ------------- = --------- [15, 14, 2] [14, 2] denominator=, [15, 14, 5] [1, 15, 12, 6] [1, 12, 6] -------------- = ---------- [15, 14, 5] [14, 5] [2, 15, 10, 7] [2, 10, 7] -------------- = ---------- [15, 14, 5] [14, 5] [3, 15, 8, 8] [3, 8, 8] ------------- = --------- [15, 14, 5] [14, 5] [4, 15, 6, 9] [4, 6, 9] ------------- = --------- [15, 14, 5] [14, 5] [5, 15, 4, 10] [5, 4, 10] -------------- = ---------- [15, 14, 5] [14, 5] [6, 15, 2, 11] [6, 2, 11] -------------- = ---------- [15, 14, 5] [14, 5] [7, 15, 0, 12] [7, 0, 12] -------------- = ---------- [15, 14, 5] [14, 5] denominator=, [15, 14, 8] [5, 15, 5, 12] [5, 5, 12] -------------- = ---------- [15, 14, 8] [14, 8] denominator=, [15, 14, 10] [3, 15, 9, 12] [3, 9, 12] -------------- = ---------- [15, 14, 10] [14, 10] [6, 15, 4, 14] [6, 4, 14] -------------- = ---------- [15, 14, 10] [14, 10] denominator=, [15, 14, 11] [5, 15, 6, 14] [5, 6, 14] -------------- = ---------- [15, 14, 11] [14, 11] denominator=, [15, 14, 14] [5, 15, 7, 16] [5, 7, 16] -------------- = ---------- [15, 14, 14] [14, 14] [10, 15, 0, 18] [10, 0, 18] --------------- = ----------- [15, 14, 14] [14, 14] denominator=, [15, 14, 15] [3, 15, 10, 16] [3, 10, 16] --------------- = ----------- [15, 14, 15] [14, 15] [6, 15, 6, 17] [6, 6, 17] -------------- = ---------- [15, 14, 15] [14, 15] [9, 15, 2, 18] [9, 2, 18] -------------- = ---------- [15, 14, 15] [14, 15] denominator=, [15, 14, 17] [5, 15, 8, 18] [5, 8, 18] -------------- = ---------- [15, 14, 17] [14, 17] [10, 15, 2, 19] [10, 2, 19] --------------- = ----------- [15, 14, 17] [14, 17] denominator=, [15, 15, 0] [1, 15, 14, 0] [1, 14, 0] -------------- = ---------- [15, 15, 0] [15, 0] [2, 15, 13, 0] [2, 13, 0] -------------- = ---------- [15, 15, 0] [15, 0] [3, 15, 12, 0] [3, 12, 0] -------------- = ---------- [15, 15, 0] [15, 0] [4, 15, 11, 0] [4, 11, 0] -------------- = ---------- [15, 15, 0] [15, 0] [5, 15, 10, 0] [5, 10, 0] -------------- = ---------- [15, 15, 0] [15, 0] [6, 15, 9, 0] [6, 9, 0] ------------- = --------- [15, 15, 0] [15, 0] [7, 15, 8, 0] [7, 8, 0] ------------- = --------- [15, 15, 0] [15, 0] [8, 15, 7, 0] [8, 7, 0] ------------- = --------- [15, 15, 0] [15, 0] [9, 15, 6, 0] [9, 6, 0] ------------- = --------- [15, 15, 0] [15, 0] [10, 15, 5, 0] [10, 5, 0] -------------- = ---------- [15, 15, 0] [15, 0] [11, 15, 4, 0] [11, 4, 0] -------------- = ---------- [15, 15, 0] [15, 0] [12, 15, 3, 0] [12, 3, 0] -------------- = ---------- [15, 15, 0] [15, 0] [13, 15, 2, 0] [13, 2, 0] -------------- = ---------- [15, 15, 0] [15, 0] [14, 15, 1, 0] [14, 1, 0] -------------- = ---------- [15, 15, 0] [15, 0] denominator=, [15, 15, 3] [5, 15, 11, 2] [5, 11, 2] -------------- = ---------- [15, 15, 3] [15, 3] [10, 15, 7, 1] [10, 7, 1] -------------- = ---------- [15, 15, 3] [15, 3] denominator=, [15, 15, 5] [3, 15, 13, 4] [3, 13, 4] -------------- = ---------- [15, 15, 5] [15, 5] [6, 15, 11, 3] [6, 11, 3] -------------- = ---------- [15, 15, 5] [15, 5] [9, 15, 9, 2] [9, 9, 2] ------------- = --------- [15, 15, 5] [15, 5] [12, 15, 7, 1] [12, 7, 1] -------------- = ---------- [15, 15, 5] [15, 5] [18, 15, 2, 19] [18, 2, 19] --------------- = ----------- [15, 15, 5] [15, 5] [1, 1, 15, 0, 18] [1, 1, 0, 18] ----------------- = ------------- [15, 15, 5] [15, 5] denominator=, [15, 15, 6] [5, 15, 12, 4] [5, 12, 4] -------------- = ---------- [15, 15, 6] [15, 6] [10, 15, 9, 2] [10, 9, 2] -------------- = ---------- [15, 15, 6] [15, 6] [1, 0, 15, 2, 18] [1, 0, 2, 18] ----------------- = ------------- [15, 15, 6] [15, 6] denominator=, [15, 15, 9] [5, 15, 13, 6] [5, 13, 6] -------------- = ---------- [15, 15, 9] [15, 9] [10, 15, 11, 3] [10, 11, 3] --------------- = ----------- [15, 15, 9] [15, 9] [1, 0, 15, 6, 17] [1, 0, 6, 17] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 5, 15, 4, 14] [1, 5, 4, 14] ----------------- = ------------- [15, 15, 9] [15, 9] [1, 15, 15, 0, 8] [1, 15, 0, 8] ----------------- = ------------- [15, 15, 9] [15, 9] denominator=, [15, 15, 10] [3, 15, 14, 8] [3, 14, 8] -------------- = ---------- [15, 15, 10] [15, 10] [6, 15, 13, 6] [6, 13, 6] -------------- = ---------- [15, 15, 10] [15, 10] [9, 15, 12, 4] [9, 12, 4] -------------- = ---------- [15, 15, 10] [15, 10] [12, 15, 11, 2] [12, 11, 2] --------------- = ----------- [15, 15, 10] [15, 10] [18, 15, 8, 18] [18, 8, 18] --------------- = ----------- [15, 15, 10] [15, 10] [1, 1, 15, 7, 16] [1, 1, 7, 16] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 4, 15, 6, 14] [1, 4, 6, 14] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 7, 15, 5, 12] [1, 7, 5, 12] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 13, 15, 3, 8] [1, 13, 3, 8] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 16, 15, 2, 6] [1, 16, 2, 6] ----------------- = ------------- [15, 15, 10] [15, 10] [1, 19, 15, 1, 4] [1, 19, 1, 4] ----------------- = ------------- [15, 15, 10] [15, 10] [2, 2, 15, 0, 2] [2, 2, 0, 2] ---------------- = ------------ [15, 15, 10] [15, 10] denominator=, [15, 15, 12] [5, 15, 14, 8] [5, 14, 8] -------------- = ---------- [15, 15, 12] [15, 12] [10, 15, 13, 4] [10, 13, 4] --------------- = ----------- [15, 15, 12] [15, 12] [1, 0, 15, 10, 16] [1, 0, 10, 16] ------------------ = -------------- [15, 15, 12] [15, 12] [1, 5, 15, 9, 12] [1, 5, 9, 12] ----------------- = ------------- [15, 15, 12] [15, 12] [1, 15, 15, 7, 4] [1, 15, 7, 4] ----------------- = ------------- [15, 15, 12] [15, 12] [2, 0, 15, 6, 0] [2, 0, 6, 0] ---------------- = ------------ [15, 15, 12] [15, 12] [2, 10, 15, 3, 12] [2, 10, 3, 12] ------------------ = -------------- [15, 15, 12] [15, 12] [2, 15, 15, 2, 8] [2, 15, 2, 8] ----------------- = ------------- [15, 15, 12] [15, 12] [3, 5, 15, 0, 0] [3, 5, 0, 0] ---------------- = ------------ [15, 15, 12] [15, 12] denominator=, [16, 9, 12] [1, 16, 1, 0] [1, 1, 0] ------------- = --------- [16, 9, 12] [9, 12] denominator=, [16, 10, 8] [1, 16, 2, 15] [1, 2, 15] -------------- = ---------- [16, 10, 8] [10, 8] denominator=, [16, 11, 4] [1, 16, 4, 10] [1, 4, 10] -------------- = ---------- [16, 11, 4] [11, 4] denominator=, [16, 12, 0] [1, 16, 6, 5] [1, 6, 5] ------------- = --------- [16, 12, 0] [12, 0] [2, 16, 0, 10] [2, 0, 10] -------------- = ---------- [16, 12, 0] [12, 0] denominator=, [16, 12, 8] [2, 16, 1, 17] [2, 1, 17] -------------- = ---------- [16, 12, 8] [12, 8] denominator=, [16, 12, 16] [1, 16, 8, 0] [1, 8, 0] ------------- = --------- [16, 12, 16] [12, 16] [2, 16, 3, 4] [2, 3, 4] ------------- = --------- [16, 12, 16] [12, 16] denominator=, [16, 13, 4] [2, 16, 4, 11] [2, 4, 11] -------------- = ---------- [16, 13, 4] [13, 4] denominator=, [16, 13, 12] [1, 16, 9, 15] [1, 9, 15] -------------- = ---------- [16, 13, 12] [13, 12] [2, 16, 5, 18] [2, 5, 18] -------------- = ---------- [16, 13, 12] [13, 12] [3, 16, 2, 1] [3, 2, 1] ------------- = --------- [16, 13, 12] [13, 12] denominator=, [16, 14, 0] [2, 16, 7, 5] [2, 7, 5] ------------- = --------- [16, 14, 0] [14, 0] [4, 16, 0, 10] [4, 0, 10] -------------- = ---------- [16, 14, 0] [14, 0] denominator=, [16, 14, 4] [4, 16, 1, 13] [4, 1, 13] -------------- = ---------- [16, 14, 4] [14, 4] denominator=, [16, 14, 8] [1, 16, 11, 10] [1, 11, 10] --------------- = ----------- [16, 14, 8] [14, 8] [2, 16, 8, 12] [2, 8, 12] -------------- = ---------- [16, 14, 8] [14, 8] [3, 16, 5, 14] [3, 5, 14] -------------- = ---------- [16, 14, 8] [14, 8] [4, 16, 2, 16] [4, 2, 16] -------------- = ---------- [16, 14, 8] [14, 8] denominator=, [16, 14, 12] [4, 16, 3, 19] [4, 3, 19] -------------- = ---------- [16, 14, 12] [14, 12] denominator=, [16, 14, 16] [2, 16, 9, 19] [2, 9, 19] -------------- = ---------- [16, 14, 16] [14, 16] [4, 16, 5, 2] [4, 5, 2] ------------- = --------- [16, 14, 16] [14, 16] [6, 16, 0, 5] [6, 0, 5] ------------- = --------- [16, 14, 16] [14, 16] denominator=, [16, 15, 0] [4, 16, 6, 5] [4, 6, 5] ------------- = --------- [16, 15, 0] [15, 0] denominator=, [16, 15, 4] [1, 16, 13, 5] [1, 13, 5] -------------- = ---------- [16, 15, 4] [15, 4] [2, 16, 11, 6] [2, 11, 6] -------------- = ---------- [16, 15, 4] [15, 4] [3, 16, 9, 7] [3, 9, 7] ------------- = --------- [16, 15, 4] [15, 4] [4, 16, 7, 8] [4, 7, 8] ------------- = --------- [16, 15, 4] [15, 4] [5, 16, 5, 9] [5, 5, 9] ------------- = --------- [16, 15, 4] [15, 4] [6, 16, 3, 10] [6, 3, 10] -------------- = ---------- [16, 15, 4] [15, 4] [7, 16, 1, 11] [7, 1, 11] -------------- = ---------- [16, 15, 4] [15, 4] denominator=, [16, 15, 6] [8, 16, 0, 13] [8, 0, 13] -------------- = ---------- [16, 15, 6] [15, 6] denominator=, [16, 15, 8] [4, 16, 8, 11] [4, 8, 11] -------------- = ---------- [16, 15, 8] [15, 8] [8, 16, 1, 14] [8, 1, 14] -------------- = ---------- [16, 15, 8] [15, 8] denominator=, [16, 15, 10] [8, 16, 2, 15] [8, 2, 15] -------------- = ---------- [16, 15, 10] [15, 10] denominator=, [16, 15, 12] [2, 16, 12, 13] [2, 12, 13] --------------- = ----------- [16, 15, 12] [15, 12] [4, 16, 9, 14] [4, 9, 14] -------------- = ---------- [16, 15, 12] [15, 12] [6, 16, 6, 15] [6, 6, 15] -------------- = ---------- [16, 15, 12] [15, 12] [8, 16, 3, 16] [8, 3, 16] -------------- = ---------- [16, 15, 12] [15, 12] [10, 16, 0, 17] [10, 0, 17] --------------- = ----------- [16, 15, 12] [15, 12] denominator=, [16, 15, 14] [8, 16, 4, 17] [8, 4, 17] -------------- = ---------- [16, 15, 14] [15, 14] denominator=, [16, 15, 16] [4, 16, 10, 17] [4, 10, 17] --------------- = ----------- [16, 15, 16] [15, 16] [8, 16, 5, 18] [8, 5, 18] -------------- = ---------- [16, 15, 16] [15, 16] [12, 16, 0, 19] [12, 0, 19] --------------- = ----------- [16, 15, 16] [15, 16] denominator=, [16, 15, 18] [8, 16, 6, 19] [8, 6, 19] -------------- = ---------- [16, 15, 18] [15, 18] denominator=, [16, 16, 0] [1, 16, 15, 0] [1, 15, 0] -------------- = ---------- [16, 16, 0] [16, 0] [2, 16, 14, 0] [2, 14, 0] -------------- = ---------- [16, 16, 0] [16, 0] [3, 16, 13, 0] [3, 13, 0] -------------- = ---------- [16, 16, 0] [16, 0] [4, 16, 12, 0] [4, 12, 0] -------------- = ---------- [16, 16, 0] [16, 0] [5, 16, 11, 0] [5, 11, 0] -------------- = ---------- [16, 16, 0] [16, 0] [6, 16, 10, 0] [6, 10, 0] -------------- = ---------- [16, 16, 0] [16, 0] [7, 16, 9, 0] [7, 9, 0] ------------- = --------- [16, 16, 0] [16, 0] [8, 16, 8, 0] [8, 8, 0] ------------- = --------- [16, 16, 0] [16, 0] [9, 16, 7, 0] [9, 7, 0] ------------- = --------- [16, 16, 0] [16, 0] [10, 16, 6, 0] [10, 6, 0] -------------- = ---------- [16, 16, 0] [16, 0] [11, 16, 5, 0] [11, 5, 0] -------------- = ---------- [16, 16, 0] [16, 0] [12, 16, 4, 0] [12, 4, 0] -------------- = ---------- [16, 16, 0] [16, 0] [13, 16, 3, 0] [13, 3, 0] -------------- = ---------- [16, 16, 0] [16, 0] [14, 16, 2, 0] [14, 2, 0] -------------- = ---------- [16, 16, 0] [16, 0] [15, 16, 1, 0] [15, 1, 0] -------------- = ---------- [16, 16, 0] [16, 0] denominator=, [16, 16, 2] [8, 16, 9, 1] [8, 9, 1] ------------- = --------- [16, 16, 2] [16, 2] denominator=, [16, 16, 4] [4, 16, 13, 3] [4, 13, 3] -------------- = ---------- [16, 16, 4] [16, 4] [8, 16, 10, 2] [8, 10, 2] -------------- = ---------- [16, 16, 4] [16, 4] [12, 16, 7, 1] [12, 7, 1] -------------- = ---------- [16, 16, 4] [16, 4] [1, 0, 16, 0, 19] [1, 0, 0, 19] ----------------- = ------------- [16, 16, 4] [16, 4] denominator=, [16, 16, 6] [8, 16, 11, 3] [8, 11, 3] -------------- = ---------- [16, 16, 6] [16, 6] [1, 4, 16, 0, 17] [1, 4, 0, 17] ----------------- = ------------- [16, 16, 6] [16, 6] denominator=, [16, 16, 8] [2, 16, 15, 7] [2, 15, 7] -------------- = ---------- [16, 16, 8] [16, 8] [4, 16, 14, 6] [4, 14, 6] -------------- = ---------- [16, 16, 8] [16, 8] [6, 16, 13, 5] [6, 13, 5] -------------- = ---------- [16, 16, 8] [16, 8] [8, 16, 12, 4] [8, 12, 4] -------------- = ---------- [16, 16, 8] [16, 8] [10, 16, 11, 3] [10, 11, 3] --------------- = ----------- [16, 16, 8] [16, 8] [12, 16, 10, 2] [12, 10, 2] --------------- = ----------- [16, 16, 8] [16, 8] [14, 16, 9, 1] [14, 9, 1] -------------- = ---------- [16, 16, 8] [16, 8] [18, 16, 6, 19] [18, 6, 19] --------------- = ----------- [16, 16, 8] [16, 8] [1, 0, 16, 5, 18] [1, 0, 5, 18] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 2, 16, 4, 17] [1, 2, 4, 17] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 4, 16, 3, 16] [1, 4, 3, 16] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 6, 16, 2, 15] [1, 6, 2, 15] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 8, 16, 1, 14] [1, 8, 1, 14] ----------------- = ------------- [16, 16, 8] [16, 8] [1, 10, 16, 0, 13] [1, 10, 0, 13] ------------------ = -------------- [16, 16, 8] [16, 8] denominator=, [16, 16, 10] [8, 16, 13, 5] [8, 13, 5] -------------- = ---------- [16, 16, 10] [16, 10] [1, 4, 16, 6, 15] [1, 4, 6, 15] ----------------- = ------------- [16, 16, 10] [16, 10] [2, 0, 16, 0, 5] [2, 0, 0, 5] ---------------- = ------------ [16, 16, 10] [16, 10] denominator=, [16, 16, 12] [4, 16, 15, 9] [4, 15, 9] -------------- = ---------- [16, 16, 12] [16, 12] [8, 16, 14, 6] [8, 14, 6] -------------- = ---------- [16, 16, 12] [16, 12] [12, 16, 13, 3] [12, 13, 3] --------------- = ----------- [16, 16, 12] [16, 12] [1, 0, 16, 10, 17] [1, 0, 10, 17] ------------------ = -------------- [16, 16, 12] [16, 12] [1, 4, 16, 9, 14] [1, 4, 9, 14] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 8, 16, 8, 11] [1, 8, 8, 11] ----------------- = ------------- [16, 16, 12] [16, 12] [1, 16, 16, 6, 5] [1, 16, 6, 5] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 0, 16, 5, 2] [2, 0, 5, 2] ---------------- = ------------ [16, 16, 12] [16, 12] [2, 4, 16, 3, 19] [2, 4, 3, 19] ----------------- = ------------- [16, 16, 12] [16, 12] [2, 12, 16, 1, 13] [2, 12, 1, 13] ------------------ = -------------- [16, 16, 12] [16, 12] [2, 16, 16, 0, 10] [2, 16, 0, 10] ------------------ = -------------- [16, 16, 12] [16, 12] denominator=, [16, 16, 14] [8, 16, 15, 7] [8, 15, 7] -------------- = ---------- [16, 16, 14] [16, 14] [1, 4, 16, 12, 13] [1, 4, 12, 13] ------------------ = -------------- [16, 16, 14] [16, 14] [2, 0, 16, 9, 19] [2, 0, 9, 19] ----------------- = ------------- [16, 16, 14] [16, 14] [2, 16, 16, 7, 5] [2, 16, 7, 5] ----------------- = ------------- [16, 16, 14] [16, 14] [3, 12, 16, 4, 11] [3, 12, 4, 11] ------------------ = -------------- [16, 16, 14] [16, 14] [4, 8, 16, 1, 17] [4, 8, 1, 17] ----------------- = ------------- [16, 16, 14] [16, 14] denominator=, [17, 10, 4] [1, 17, 1, 12] [1, 1, 12] -------------- = ---------- [17, 10, 4] [10, 4] denominator=, [17, 11, 1] [1, 17, 3, 8] [1, 3, 8] ------------- = --------- [17, 11, 1] [11, 1] denominator=, [17, 11, 18] [1, 17, 5, 4] [1, 5, 4] ------------- = --------- [17, 11, 18] [11, 18] denominator=, [17, 12, 15] [1, 17, 7, 0] [1, 7, 0] ------------- = --------- [17, 12, 15] [12, 15] [2, 17, 1, 5] [2, 1, 5] ------------- = --------- [17, 12, 15] [12, 15] denominator=, [17, 13, 12] [1, 17, 8, 16] [1, 8, 16] -------------- = ---------- [17, 13, 12] [13, 12] [2, 17, 4, 0] [2, 4, 0] ------------- = --------- [17, 13, 12] [13, 12] denominator=, [17, 14, 9] [1, 17, 10, 12] [1, 10, 12] --------------- = ----------- [17, 14, 9] [14, 9] [2, 17, 6, 15] [2, 6, 15] -------------- = ---------- [17, 14, 9] [14, 9] [3, 17, 2, 18] [3, 2, 18] -------------- = ---------- [17, 14, 9] [14, 9] denominator=, [17, 15, 6] [1, 17, 12, 8] [1, 12, 8] -------------- = ---------- [17, 15, 6] [15, 6] [2, 17, 9, 10] [2, 9, 10] -------------- = ---------- [17, 15, 6] [15, 6] [3, 17, 6, 12] [3, 6, 12] -------------- = ---------- [17, 15, 6] [15, 6] [4, 17, 3, 14] [4, 3, 14] -------------- = ---------- [17, 15, 6] [15, 6] [5, 17, 0, 16] [5, 0, 16] -------------- = ---------- [17, 15, 6] [15, 6] denominator=, [17, 16, 3] [1, 17, 14, 4] [1, 14, 4] -------------- = ---------- [17, 16, 3] [16, 3] [2, 17, 12, 5] [2, 12, 5] -------------- = ---------- [17, 16, 3] [16, 3] [3, 17, 10, 6] [3, 10, 6] -------------- = ---------- [17, 16, 3] [16, 3] [4, 17, 8, 7] [4, 8, 7] ------------- = --------- [17, 16, 3] [16, 3] [5, 17, 6, 8] [5, 6, 8] ------------- = --------- [17, 16, 3] [16, 3] [6, 17, 4, 9] [6, 4, 9] ------------- = --------- [17, 16, 3] [16, 3] [7, 17, 2, 10] [7, 2, 10] -------------- = ---------- [17, 16, 3] [16, 3] [8, 17, 0, 11] [8, 0, 11] -------------- = ---------- [17, 16, 3] [16, 3] denominator=, [17, 17, 0] [1, 17, 16, 0] [1, 16, 0] -------------- = ---------- [17, 17, 0] [17, 0] [2, 17, 15, 0] [2, 15, 0] -------------- = ---------- [17, 17, 0] [17, 0] [3, 17, 14, 0] [3, 14, 0] -------------- = ---------- [17, 17, 0] [17, 0] [4, 17, 13, 0] [4, 13, 0] -------------- = ---------- [17, 17, 0] [17, 0] [5, 17, 12, 0] [5, 12, 0] -------------- = ---------- [17, 17, 0] [17, 0] [6, 17, 11, 0] [6, 11, 0] -------------- = ---------- [17, 17, 0] [17, 0] [7, 17, 10, 0] [7, 10, 0] -------------- = ---------- [17, 17, 0] [17, 0] [8, 17, 9, 0] [8, 9, 0] ------------- = --------- [17, 17, 0] [17, 0] [9, 17, 8, 0] [9, 8, 0] ------------- = --------- [17, 17, 0] [17, 0] [10, 17, 7, 0] [10, 7, 0] -------------- = ---------- [17, 17, 0] [17, 0] [11, 17, 6, 0] [11, 6, 0] -------------- = ---------- [17, 17, 0] [17, 0] [12, 17, 5, 0] [12, 5, 0] -------------- = ---------- [17, 17, 0] [17, 0] [13, 17, 4, 0] [13, 4, 0] -------------- = ---------- [17, 17, 0] [17, 0] [14, 17, 3, 0] [14, 3, 0] -------------- = ---------- [17, 17, 0] [17, 0] [15, 17, 2, 0] [15, 2, 0] -------------- = ---------- [17, 17, 0] [17, 0] [16, 17, 1, 0] [16, 1, 0] -------------- = ---------- [17, 17, 0] [17, 0] denominator=, [18, 9, 18] [1, 18, 0, 7] [1, 0, 7] ------------- = --------- [18, 9, 18] [9, 18] denominator=, [18, 10, 16] [1, 18, 2, 4] [1, 2, 4] ------------- = --------- [18, 10, 16] [10, 16] denominator=, [18, 11, 14] [1, 18, 4, 1] [1, 4, 1] ------------- = --------- [18, 11, 14] [11, 14] denominator=, [18, 12, 12] [1, 18, 5, 18] [1, 5, 18] -------------- = ---------- [18, 12, 12] [12, 12] denominator=, [18, 13, 1] [2, 18, 0, 12] [2, 0, 12] -------------- = ---------- [18, 13, 1] [13, 1] denominator=, [18, 13, 10] [1, 18, 7, 15] [1, 7, 15] -------------- = ---------- [18, 13, 10] [13, 10] [2, 18, 2, 0] [2, 2, 0] ------------- = --------- [18, 13, 10] [13, 10] denominator=, [18, 13, 19] [2, 18, 3, 8] [2, 3, 8] ------------- = --------- [18, 13, 19] [13, 19] denominator=, [18, 14, 8] [1, 18, 9, 12] [1, 9, 12] -------------- = ---------- [18, 14, 8] [14, 8] [2, 18, 4, 16] [2, 4, 16] -------------- = ---------- [18, 14, 8] [14, 8] [3, 18, 0, 0] [3, 0, 0] ------------- = --------- [18, 14, 8] [14, 8] denominator=, [18, 14, 14] [3, 18, 1, 5] [3, 1, 5] ------------- = --------- [18, 14, 14] [14, 14] denominator=, [18, 14, 17] [2, 18, 6, 4] [2, 6, 4] ------------- = --------- [18, 14, 17] [14, 17] denominator=, [18, 15, 0] [3, 18, 2, 10] [3, 2, 10] -------------- = ---------- [18, 15, 0] [15, 0] denominator=, [18, 15, 6] [1, 18, 11, 9] [1, 11, 9] -------------- = ---------- [18, 15, 6] [15, 6] [2, 18, 7, 12] [2, 7, 12] -------------- = ---------- [18, 15, 6] [15, 6] [3, 18, 3, 15] [3, 3, 15] -------------- = ---------- [18, 15, 6] [15, 6] denominator=, [18, 15, 12] [3, 18, 5, 0] [3, 5, 0] ------------- = --------- [18, 15, 12] [15, 12] denominator=, [18, 15, 15] [2, 18, 9, 0] [2, 9, 0] ------------- = --------- [18, 15, 15] [15, 15] [4, 18, 2, 5] [4, 2, 5] ------------- = --------- [18, 15, 15] [15, 15] denominator=, [18, 15, 18] [3, 18, 6, 5] [3, 6, 5] ------------- = --------- [18, 15, 18] [15, 18] denominator=, [18, 16, 4] [1, 18, 13, 6] [1, 13, 6] -------------- = ---------- [18, 16, 4] [16, 4] [2, 18, 10, 8] [2, 10, 8] -------------- = ---------- [18, 16, 4] [16, 4] [3, 18, 7, 10] [3, 7, 10] -------------- = ---------- [18, 16, 4] [16, 4] [4, 18, 4, 12] [4, 4, 12] -------------- = ---------- [18, 16, 4] [16, 4] [5, 18, 1, 14] [5, 1, 14] -------------- = ---------- [18, 16, 4] [16, 4] denominator=, [18, 16, 10] [3, 18, 8, 15] [3, 8, 15] -------------- = ---------- [18, 16, 10] [16, 10] [6, 18, 1, 0] [6, 1, 0] ------------- = --------- [18, 16, 10] [16, 10] denominator=, [18, 16, 13] [2, 18, 11, 16] [2, 11, 16] --------------- = ----------- [18, 16, 13] [16, 13] [4, 18, 6, 19] [4, 6, 19] -------------- = ---------- [18, 16, 13] [16, 13] [6, 18, 2, 2] [6, 2, 2] ------------- = --------- [18, 16, 13] [16, 13] denominator=, [18, 16, 16] [3, 18, 10, 0] [3, 10, 0] -------------- = ---------- [18, 16, 16] [16, 16] [6, 18, 3, 4] [6, 3, 4] ------------- = --------- [18, 16, 16] [16, 16] denominator=, [18, 16, 19] [6, 18, 4, 6] [6, 4, 6] ------------- = --------- [18, 16, 19] [16, 19] denominator=, [18, 17, 2] [1, 18, 15, 3] [1, 15, 3] -------------- = ---------- [18, 17, 2] [17, 2] [2, 18, 13, 4] [2, 13, 4] -------------- = ---------- [18, 17, 2] [17, 2] [3, 18, 11, 5] [3, 11, 5] -------------- = ---------- [18, 17, 2] [17, 2] [4, 18, 9, 6] [4, 9, 6] ------------- = --------- [18, 17, 2] [17, 2] [5, 18, 7, 7] [5, 7, 7] ------------- = --------- [18, 17, 2] [17, 2] [6, 18, 5, 8] [6, 5, 8] ------------- = --------- [18, 17, 2] [17, 2] [7, 18, 3, 9] [7, 3, 9] ------------- = --------- [18, 17, 2] [17, 2] [8, 18, 1, 10] [8, 1, 10] -------------- = ---------- [18, 17, 2] [17, 2] denominator=, [18, 17, 4] [9, 18, 0, 12] [9, 0, 12] -------------- = ---------- [18, 17, 4] [17, 4] denominator=, [18, 17, 5] [6, 18, 6, 10] [6, 6, 10] -------------- = ---------- [18, 17, 5] [17, 5] denominator=, [18, 17, 6] [9, 18, 1, 13] [9, 1, 13] -------------- = ---------- [18, 17, 6] [17, 6] denominator=, [18, 17, 8] [3, 18, 12, 10] [3, 12, 10] --------------- = ----------- [18, 17, 8] [17, 8] [6, 18, 7, 12] [6, 7, 12] -------------- = ---------- [18, 17, 8] [17, 8] [9, 18, 2, 14] [9, 2, 14] -------------- = ---------- [18, 17, 8] [17, 8] denominator=, [18, 17, 10] [9, 18, 3, 15] [9, 3, 15] -------------- = ---------- [18, 17, 10] [17, 10] denominator=, [18, 17, 11] [2, 18, 14, 12] [2, 14, 12] --------------- = ----------- [18, 17, 11] [17, 11] [4, 18, 11, 13] [4, 11, 13] --------------- = ----------- [18, 17, 11] [17, 11] [6, 18, 8, 14] [6, 8, 14] -------------- = ---------- [18, 17, 11] [17, 11] [8, 18, 5, 15] [8, 5, 15] -------------- = ---------- [18, 17, 11] [17, 11] [10, 18, 2, 16] [10, 2, 16] --------------- = ----------- [18, 17, 11] [17, 11] denominator=, [18, 17, 12] [9, 18, 4, 16] [9, 4, 16] -------------- = ---------- [18, 17, 12] [17, 12] denominator=, [18, 17, 14] [3, 18, 13, 15] [3, 13, 15] --------------- = ----------- [18, 17, 14] [17, 14] [6, 18, 9, 16] [6, 9, 16] -------------- = ---------- [18, 17, 14] [17, 14] [9, 18, 5, 17] [9, 5, 17] -------------- = ---------- [18, 17, 14] [17, 14] [12, 18, 1, 18] [12, 1, 18] --------------- = ----------- [18, 17, 14] [17, 14] denominator=, [18, 17, 16] [9, 18, 6, 18] [9, 6, 18] -------------- = ---------- [18, 17, 16] [17, 16] denominator=, [18, 17, 17] [6, 18, 10, 18] [6, 10, 18] --------------- = ----------- [18, 17, 17] [17, 17] [12, 18, 3, 19] [12, 3, 19] --------------- = ----------- [18, 17, 17] [17, 17] denominator=, [18, 17, 18] [9, 18, 7, 19] [9, 7, 19] -------------- = ---------- [18, 17, 18] [17, 18] denominator=, [18, 18, 0] [1, 18, 17, 0] [1, 17, 0] -------------- = ---------- [18, 18, 0] [18, 0] [2, 18, 16, 0] [2, 16, 0] -------------- = ---------- [18, 18, 0] [18, 0] [3, 18, 15, 0] [3, 15, 0] -------------- = ---------- [18, 18, 0] [18, 0] [4, 18, 14, 0] [4, 14, 0] -------------- = ---------- [18, 18, 0] [18, 0] [5, 18, 13, 0] [5, 13, 0] -------------- = ---------- [18, 18, 0] [18, 0] [6, 18, 12, 0] [6, 12, 0] -------------- = ---------- [18, 18, 0] [18, 0] [7, 18, 11, 0] [7, 11, 0] -------------- = ---------- [18, 18, 0] [18, 0] [8, 18, 10, 0] [8, 10, 0] -------------- = ---------- [18, 18, 0] [18, 0] [9, 18, 9, 0] [9, 9, 0] ------------- = --------- [18, 18, 0] [18, 0] [10, 18, 8, 0] [10, 8, 0] -------------- = ---------- [18, 18, 0] [18, 0] [11, 18, 7, 0] [11, 7, 0] -------------- = ---------- [18, 18, 0] [18, 0] [12, 18, 6, 0] [12, 6, 0] -------------- = ---------- [18, 18, 0] [18, 0] [13, 18, 5, 0] [13, 5, 0] -------------- = ---------- [18, 18, 0] [18, 0] [14, 18, 4, 0] [14, 4, 0] -------------- = ---------- [18, 18, 0] [18, 0] [15, 18, 3, 0] [15, 3, 0] -------------- = ---------- [18, 18, 0] [18, 0] [16, 18, 2, 0] [16, 2, 0] -------------- = ---------- [18, 18, 0] [18, 0] [17, 18, 1, 0] [17, 1, 0] -------------- = ---------- [18, 18, 0] [18, 0] denominator=, [18, 18, 2] [9, 18, 10, 1] [9, 10, 1] -------------- = ---------- [18, 18, 2] [18, 2] denominator=, [18, 18, 3] [6, 18, 13, 2] [6, 13, 2] -------------- = ---------- [18, 18, 3] [18, 3] [12, 18, 8, 1] [12, 8, 1] -------------- = ---------- [18, 18, 3] [18, 3] denominator=, [18, 18, 4] [9, 18, 11, 2] [9, 11, 2] -------------- = ---------- [18, 18, 4] [18, 4] denominator=, [18, 18, 6] [3, 18, 16, 5] [3, 16, 5] -------------- = ---------- [18, 18, 6] [18, 6] [6, 18, 14, 4] [6, 14, 4] -------------- = ---------- [18, 18, 6] [18, 6] [9, 18, 12, 3] [9, 12, 3] -------------- = ---------- [18, 18, 6] [18, 6] [12, 18, 10, 2] [12, 10, 2] --------------- = ----------- [18, 18, 6] [18, 6] [15, 18, 8, 1] [15, 8, 1] -------------- = ---------- [18, 18, 6] [18, 6] [1, 1, 18, 3, 19] [1, 1, 3, 19] ----------------- = ------------- [18, 18, 6] [18, 6] [1, 4, 18, 1, 18] [1, 4, 1, 18] ----------------- = ------------- [18, 18, 6] [18, 6] denominator=, [18, 18, 8] [9, 18, 13, 4] [9, 13, 4] -------------- = ---------- [18, 18, 8] [18, 8] [1, 7, 18, 2, 16] [1, 7, 2, 16] ----------------- = ------------- [18, 18, 8] [18, 8] denominator=, [18, 18, 9] [2, 18, 17, 8] [2, 17, 8] -------------- = ---------- [18, 18, 9] [18, 9] [4, 18, 16, 7] [4, 16, 7] -------------- = ---------- [18, 18, 9] [18, 9] [6, 18, 15, 6] [6, 15, 6] -------------- = ---------- [18, 18, 9] [18, 9] [8, 18, 14, 5] [8, 14, 5] -------------- = ---------- [18, 18, 9] [18, 9] [10, 18, 13, 4] [10, 13, 4] --------------- = ----------- [18, 18, 9] [18, 9] [12, 18, 12, 3] [12, 12, 3] --------------- = ----------- [18, 18, 9] [18, 9] [14, 18, 11, 2] [14, 11, 2] --------------- = ----------- [18, 18, 9] [18, 9] [16, 18, 10, 1] [16, 10, 1] --------------- = ----------- [18, 18, 9] [18, 9] [1, 0, 18, 7, 19] [1, 0, 7, 19] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 2, 18, 6, 18] [1, 2, 6, 18] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 4, 18, 5, 17] [1, 4, 5, 17] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 6, 18, 4, 16] [1, 6, 4, 16] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 8, 18, 3, 15] [1, 8, 3, 15] ----------------- = ------------- [18, 18, 9] [18, 9] [1, 10, 18, 2, 14] [1, 10, 2, 14] ------------------ = -------------- [18, 18, 9] [18, 9] [1, 12, 18, 1, 13] [1, 12, 1, 13] ------------------ = -------------- [18, 18, 9] [18, 9] [1, 14, 18, 0, 12] [1, 14, 0, 12] ------------------ = -------------- [18, 18, 9] [18, 9] denominator=, [18, 18, 10] [9, 18, 14, 5] [9, 14, 5] -------------- = ---------- [18, 18, 10] [18, 10] [1, 7, 18, 5, 15] [1, 7, 5, 15] ----------------- = ------------- [18, 18, 10] [18, 10] denominator=, [18, 18, 12] [3, 18, 17, 10] [3, 17, 10] --------------- = ----------- [18, 18, 12] [18, 12] [6, 18, 16, 8] [6, 16, 8] -------------- = ---------- [18, 18, 12] [18, 12] [9, 18, 15, 6] [9, 15, 6] -------------- = ---------- [18, 18, 12] [18, 12] [12, 18, 14, 4] [12, 14, 4] --------------- = ----------- [18, 18, 12] [18, 12] [15, 18, 13, 2] [15, 13, 2] --------------- = ----------- [18, 18, 12] [18, 12] [1, 1, 18, 10, 18] [1, 1, 10, 18] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 4, 18, 9, 16] [1, 4, 9, 16] ----------------- = ------------- [18, 18, 12] [18, 12] [1, 7, 18, 8, 14] [1, 7, 8, 14] ----------------- = ------------- [18, 18, 12] [18, 12] [1, 10, 18, 7, 12] [1, 10, 7, 12] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 13, 18, 6, 10] [1, 13, 6, 10] ------------------ = -------------- [18, 18, 12] [18, 12] [1, 19, 18, 4, 6] [1, 19, 4, 6] ----------------- = ------------- [18, 18, 12] [18, 12] [2, 2, 18, 3, 4] [2, 2, 3, 4] ---------------- = ------------ [18, 18, 12] [18, 12] [2, 5, 18, 2, 2] [2, 5, 2, 2] ---------------- = ------------ [18, 18, 12] [18, 12] [2, 8, 18, 1, 0] [2, 8, 1, 0] ---------------- = ------------ [18, 18, 12] [18, 12] denominator=, [18, 18, 14] [9, 18, 16, 7] [9, 16, 7] -------------- = ---------- [18, 18, 14] [18, 14] [1, 7, 18, 11, 13] [1, 7, 11, 13] ------------------ = -------------- [18, 18, 14] [18, 14] [2, 5, 18, 6, 19] [2, 5, 6, 19] ----------------- = ------------- [18, 18, 14] [18, 14] [3, 3, 18, 2, 5] [3, 3, 2, 5] ---------------- = ------------ [18, 18, 14] [18, 14] denominator=, [18, 18, 15] [6, 18, 17, 10] [6, 17, 10] --------------- = ----------- [18, 18, 15] [18, 15] [12, 18, 16, 5] [12, 16, 5] --------------- = ----------- [18, 18, 15] [18, 15] [1, 4, 18, 13, 15] [1, 4, 13, 15] ------------------ = -------------- [18, 18, 15] [18, 15] [1, 10, 18, 12, 10] [1, 10, 12, 10] ------------------- = --------------- [18, 18, 15] [18, 15] [2, 2, 18, 10, 0] [2, 2, 10, 0] ----------------- = ------------- [18, 18, 15] [18, 15] [2, 8, 18, 8, 15] [2, 8, 8, 15] ----------------- = ------------- [18, 18, 15] [18, 15] [3, 0, 18, 6, 5] [3, 0, 6, 5] ---------------- = ------------ [18, 18, 15] [18, 15] [3, 6, 18, 5, 0] [3, 6, 5, 0] ---------------- = ------------ [18, 18, 15] [18, 15] [3, 18, 18, 2, 10] [3, 18, 2, 10] ------------------ = -------------- [18, 18, 15] [18, 15] [4, 4, 18, 1, 5] [4, 4, 1, 5] ---------------- = ------------ [18, 18, 15] [18, 15] denominator=, [18, 18, 16] [9, 18, 17, 8] [9, 17, 8] -------------- = ---------- [18, 18, 16] [18, 16] [1, 7, 18, 14, 12] [1, 7, 14, 12] ------------------ = -------------- [18, 18, 16] [18, 16] [2, 5, 18, 11, 16] [2, 5, 11, 16] ------------------ = -------------- [18, 18, 16] [18, 16] [3, 3, 18, 9, 0] [3, 3, 9, 0] ---------------- = ------------ [18, 18, 16] [18, 16] [4, 1, 18, 6, 4] [4, 1, 6, 4] ---------------- = ------------ [18, 18, 16] [18, 16] [4, 19, 18, 3, 8] [4, 19, 3, 8] ----------------- = ------------- [18, 18, 16] [18, 16] [5, 17, 18, 0, 12] [5, 17, 0, 12] ------------------ = -------------- [18, 18, 16] [18, 16] ------------------------------------------------------------------------- This ends this book that took, 318.771, seconds to generate.