Using a Maple Program written by Doron Zeilberger .
Dedcicated to Doron's aunt Brigitte Weiss on her 90th brithday and to the memory of Doron's uncle Hans Weiss (1902-1982).
This is Chapter II of the webbook Computer-Generated Alphametic.
This chapter consists of 200 alphametics each consisting of four 4-digit integers (in decinal notation) The top is the sum of the two middle ones, while the bottom is the second minus the third. Each of the letters stands for one digit You have to find the numbers.
PROBLEMS
1. T R U E _____________ O B O E U R G E _____________ R O T E 2. O N U S _____________ S E E P T E N T _____________ E A S T 3. L O C I _____________ G I L A A P S E _____________ A L A I 4. T R A P _____________ A M E N B E E T _____________ N O T E 5. E C H O _____________ K N E E T U N E _____________ T R I O 6. G A I T _____________ Z E T A O O Z E _____________ T R I O 7. S P A N _____________ A T O M T R E E _____________ P A R K 8. P E N T _____________ A C M E T E E M _____________ V I V A 9. S T A G _____________ T E E M U R E A _____________ E M I T 10. L E A D _____________ D R A B B L U R _____________ E A R N 11. T A T E _____________ B U T T G A U R _____________ D A U B 12. A B U T _____________ O N T O N E V E _____________ L O L L 13. R O A M _____________ M E M O K N E E _____________ B O O N 14. B I A S _____________ C O L A I D E A _____________ I S L E 15. B U R G _____________ P A N T T E A R _____________ U R E A 16. S I M A _____________ A M R A T O T E _____________ V I T A 17. A N U S _____________ M O A T G E N E _____________ E X A M 18. S L O E _____________ T E E N D A I S _____________ I D O L 19. A P S E _____________ C O P E E C H O _____________ T H E E 20. G L E E _____________ L I L T D R A G _____________ T R E K 21. T E S T _____________ W A D I I B I S _____________ B U T T 22. M A G I _____________ E D I T F R E E _____________ F E T E 23. C L A D _____________ G A L A E D G E _____________ A F A R 24. P U M A _____________ C A P O T A U T _____________ N E E D 25. E N O L _____________ T H A T R E A R _____________ A L S O 26. G O A T _____________ A F R O S E R A _____________ E D I T 27. P A S T _____________ A M E N M E R E _____________ R A F T 28. N A P E _____________ A T O P O G L E _____________ E L A N 29. W H E E _____________ S T E W N O V A _____________ T A N H 30. P I C A _____________ E A R N I S L E _____________ S O R A 31. G A L A _____________ A I R Y I D L E _____________ D R I P 32. W E I R _____________ M I N I I B I D _____________ A B B E 33. T E E N _____________ L A S T S L O P _____________ S E L L 34. A T O M _____________ E M M A L O L L _____________ F I A T 35. G O A L _____________ L O C I C O C A _____________ C O O L 36. P U R L _____________ U R E A G L E E _____________ S L O G 37. S H A H _____________ Z E T A A L S O _____________ A B E T 38. O W L Y _____________ R O O T W A T T _____________ T W I N 39. S C A T _____________ C O D A A L A I _____________ T O S S 40. T E E N _____________ P I L E R A P T _____________ L A I R 41. N O T E _____________ Q U A D A U R A _____________ H E R O 42. T E L L _____________ A R E A S L U R _____________ E A S Y 43. P E E R _____________ E L A N L A M P _____________ A U N T 44. T H E E _____________ M O A T A M R A _____________ B L U R 45. F E E T _____________ T A F T A L O E _____________ S P I T 46. R A G E _____________ W E R E G O W N _____________ U R G E 47. P O G O _____________ A B B E B L O B _____________ L E N T 48. A L U M _____________ B A T T T U N A _____________ R O B E 49. O L D Y _____________ D O T E T E A L _____________ A W A Y 50. O N C E _____________ A L I A I O T A _____________ S L O E 51. O V E R _____________ V O L T A U T O _____________ T A R A 52. C O N N _____________ O B O E B Y T E _____________ E N V Y 53. N E A P _____________ E T C H O A T H _____________ A M O K 54. W I S P _____________ T O R I A L O E _____________ P E A T 55. D I E T _____________ E A S E A U R A _____________ I O T A 56. G L E E _____________ T I N T L I L Y _____________ E A R N 57. B R A E _____________ A B B E T A P E _____________ G E N E 58. E D I T _____________ W H E E A R I D _____________ O A T H 59. V I I I _____________ B E T A P I E R _____________ A N T I 60. A W A Y _____________ T E E M S E W N _____________ M A T E 61. L I E U _____________ T A P A O U Z O _____________ R A T E 62. R A F T _____________ U R E A P A R E _____________ F E E T 63. P L E A _____________ T I M E A L T O _____________ A M R A 64. A P E X _____________ P E E R E X A M _____________ K N E E 65. T Y P O _____________ E A R N N O T E _____________ W E R E 66. E A R N _____________ R E N T C O D A _____________ A C R E 67. P A R T _____________ E C H O T R E E _____________ R E N T 68. H E A R _____________ A N T E B A T H _____________ S T O P 69. S E M I _____________ K O L A T A S K _____________ A L A I 70. G L E E _____________ O G R E T I R E _____________ T R E E 71. L O S S _____________ O B O E G L E E _____________ A X I S 72. S T U B _____________ A L T O T A L L _____________ I B I D 73. A L G A _____________ G Y R O K O L A _____________ P A R K 74. T O A D _____________ N U D E A G U E _____________ E D G Y 75. T R E E _____________ P U T T A M E N _____________ N O R M 76. R A N T _____________ A P E X P I C A _____________ T E A T 77. S H A H _____________ E N O L A B B E _____________ L O B E 78. E A S E _____________ B E T A S E P T _____________ T E E N 79. Y O R E _____________ G Y R O E N O L _____________ N E A R 80. C L U B _____________ L I E U A C I D _____________ B I B B 81. I D E A _____________ A L A N N A P E _____________ T W I T 82. S H O O _____________ E D D Y F R E E _____________ A F A R 83. G R A D _____________ T I E R D E J A _____________ I D E A 84. S A L E _____________ E L S E G I R L _____________ O O Z E 85. B A N E _____________ N O L O P A T E _____________ T A M P 86. B R A E _____________ H Y M N Y E A H _____________ A N E W 87. R E E D _____________ B R A E T I R E _____________ I O T A 88. W H O P _____________ T H E E A W A Y _____________ V E T O 89. S W A T _____________ A P S E D E J A _____________ P U T T 90. I D E A _____________ D I R T R A N T _____________ E A R N 91. S H A H _____________ O O Z E L I E N _____________ H A L L 92. W A N T _____________ B R A E T W I N _____________ A R E A 93. B R A E _____________ R O B E E A C H _____________ A C M E 94. S I M A _____________ I O T A T R O D _____________ A L M A 95. T E A M _____________ G A L A R O B E _____________ B L A B 96. A U R A _____________ M U T E E X A M _____________ T O A D 97. A R E A _____________ O R G Y E A S T _____________ Y O K E 98. N A M E _____________ A P S E S T E P _____________ R A T E 99. C I T E _____________ K N E E A N T E _____________ O N C E 100. A R E A _____________ H I R E T H A N _____________ R A N T 101. O P E N _____________ N E A P A U N T _____________ A M O K 102. T E A R _____________ E D G E S A G A _____________ S A I D 103. G E N E _____________ C A P O H A T E _____________ P A T H 104. R I F T _____________ T A P A A T O M _____________ P E E R 105. R A T A _____________ E L A N T O R I _____________ T R E E 106. P A L E _____________ H U C K C L U E _____________ T H A T 107. T A P A _____________ H E M P A P S E _____________ N E A R 108. A R E A _____________ T O R I G Y R O _____________ P E A T 109. T E A M _____________ R O A D F I E F _____________ A F A R 110. O O Z E _____________ B U R P I O T A _____________ P E A T 111. B O A R _____________ T I R E Z E T A _____________ R A T A 112. F L O E _____________ I P S O R E E F _____________ T O U R 113. A M E N _____________ N O O K K N I T _____________ O N T O 114. T E A R _____________ A N T I R E E D _____________ P A W N 115. P A N E _____________ B A T T D R I B _____________ T R E E 116. P L E A _____________ O G R E A L A I _____________ D A T A 117. S O R B _____________ L O B O T A L L _____________ B L O B 118. O A T H _____________ T E A R W H A M _____________ S T O W 119. I D E A _____________ T I L E A L A I _____________ S T U D 120. B E T A _____________ C E I L A L G A _____________ E T C H 121. N O N E _____________ R A S A O N T O _____________ A B U T 122. E L A N _____________ A M R A R A M P _____________ M A I M 123. P U M A _____________ M E R E S P A T _____________ A R T Y 124. P A T E _____________ N E E D T I E R _____________ R E I N 125. E A R L _____________ A C R E F R E T _____________ T A L C 126. E A S E _____________ A B B E B R I G _____________ W E R E 127. E A C H _____________ T A L C Y E A H _____________ L A N E 128. T E E N _____________ R O A D K N E E _____________ K A L E 129. T A U T _____________ S A R I A I D E _____________ R A T A 130. E Y E D _____________ Y A R N A W R Y _____________ W E P T 131. I N T O _____________ P E R K T R E E _____________ A X O N 132. E A S E _____________ A M E N O N T O _____________ C A P O 133. T A P A _____________ A N T I P L E A _____________ B A N D 134. S H O O _____________ L O L L P A L E _____________ B A T T 135. B R A E _____________ A N T E P E R K _____________ T H E E 136. T A U T _____________ N E A R P U M A _____________ R E N D 137. G A L A _____________ A U T O S E R A _____________ T E A R 138. B I E N _____________ N A V Y A R E A _____________ A N T E 139. C R O P _____________ D A T A W E P T _____________ T R E E 140. G O A T _____________ E M M A I O T A _____________ A T O P 141. D A R T _____________ A F A R F E A T _____________ T E N D 142. W A D I _____________ T E A R A I L E _____________ P A T E 143. S O R A _____________ W E R T N A P E _____________ R A T E 144. S P A T _____________ P I C A A L A I _____________ A L O E 145. A L L Y _____________ D I L L E D G E _____________ I S L E 146. S K A T _____________ T I C K A L T O _____________ A I L E 147. T U B A _____________ C A P O S E R A _____________ B E E T 148. D E A F _____________ F A R O S T A R _____________ A T O P 149. L A R D _____________ P L E A R A P T _____________ B I B B 150. A U T O _____________ C A K E R E A R _____________ R E C K 151. R I D E _____________ D I E D A R E A _____________ T E C H 152. S L O E _____________ B E T A W H E E _____________ T O L L 153. T A P E _____________ R O A R E A S T _____________ S E R A 154. E D G E _____________ B O N E H A L O _____________ A B B E 155. P U M A _____________ S M O G A R E A _____________ T O R R 156. K N E E _____________ E X A M T A N K _____________ N I C K 157. T E A M _____________ D A T A B R A E _____________ P A N T 158. F R E E _____________ B O O T T R E K _____________ W E R E 159. A F A R _____________ T E E N G I R L _____________ F L E A 160. H E A T _____________ C O O P T A L L _____________ P A T H 161. O P A L _____________ A T O M R O M P _____________ T A P E 162. R E E L _____________ E D G E B L A T _____________ B E R G 163. T R E E _____________ P E E R B I T T _____________ A P E X 164. E L A N _____________ A F A R N E C K _____________ R O T E 165. T I N E _____________ A R E A E A S Y _____________ O A T H 166. T H A T _____________ P O E M A L A I _____________ I D O L 167. A L A N _____________ B E T A I D E A _____________ D I E M 168. T O N G _____________ N E A T G A L A _____________ A L I A 169. T R A Y _____________ O N T O R E A P _____________ G L E E 170. A N T E _____________ N O O K K O L A _____________ B E E T 171. K N E E _____________ P L A T T A M P _____________ F E T E 172. A V O W _____________ R A S P P O E T _____________ E A V E 173. I P S O _____________ L O L L D U E L _____________ O P E N 174. S O D A _____________ A V E R V I S A _____________ I D E A 175. S H A H _____________ A N T E T E E N _____________ I D E A 176. E A S T _____________ H U E D B A D E _____________ S H A H 177. O P E N _____________ A L I A T R E E _____________ T O A D 178. W E R E _____________ O N T O I P S O _____________ P O P E 179. E A S E _____________ C O C A P O E T _____________ P A T H 180. B R A E _____________ W H O A H E R E _____________ M E E T 181. R E E D _____________ P E N T K N E E _____________ A P S E 182. S T A R _____________ A H O Y T H A T _____________ F R E E 183. R E A P _____________ A U R A E A S E _____________ O N T O 184. E M I T _____________ A C M E C O M A _____________ T A L C 185. P A I N _____________ T I E R A I R Y _____________ B O N A 186. A R E A _____________ O P A L P I K E _____________ I N T O 187. T U B A _____________ S T A R R U N T _____________ E A R L 188. B Y T E _____________ P R A Y S T E P _____________ F R E E 189. S H O O _____________ T E N D D E S K _____________ B E E N 190. I N T O _____________ V I S A R A T A _____________ T O I L 191. P E A R _____________ T A L L A F A R _____________ A L I A 192. M O T H _____________ T E A L A M R A _____________ L E E K 193. A N E W _____________ E A R N F A U N _____________ G U R U 194. E C H O _____________ P O S H I P S O _____________ T R E E 195. A L I A _____________ I B E X T R E E _____________ R A P T 196. A W A Y _____________ B E T A T A B U _____________ T O F U 197. P E E L _____________ L A S E S L O E _____________ R O O T 198. S E M I _____________ D I E D M A S T _____________ E D D Y 199. T A T E _____________ B A T T A L L Y _____________ G A L A 200. R I P E _____________ A S H Y T A I L _____________ E A S T
SOLUTIONS
1. 8 3 2 0 _____________ 5 9 5 0 2 3 7 0 _____________ 3 5 8 0 2. 8 7 0 6 _____________ 6 3 3 4 2 3 7 2 _____________ 3 9 6 2 3. 6 8 9 7 _____________ 4 7 6 2 2 1 3 5 _____________ 2 6 2 7 4. 9 8 5 0 _____________ 5 6 2 1 4 2 2 9 _____________ 1 3 9 2 5. 5 4 2 0 _____________ 3 6 5 5 1 7 6 5 _____________ 1 8 9 0 6. 8 2 6 1 _____________ 4 9 1 2 3 3 4 9 _____________ 1 5 6 3 7. 9 1 5 0 _____________ 5 3 6 2 3 7 8 8 _____________ 1 5 7 4 8. 7 3 2 1 _____________ 5 9 8 3 1 3 3 8 _____________ 4 6 4 5 9. 8 5 2 9 _____________ 5 1 1 7 3 4 1 2 _____________ 1 7 0 5 10. 9 3 5 6 _____________ 6 4 5 2 2 9 0 4 _____________ 3 5 4 8 11. 8 4 8 0 _____________ 6 9 8 8 1 4 9 2 _____________ 5 4 9 6 12. 9 3 5 0 _____________ 8 1 0 8 1 2 4 2 _____________ 6 8 6 6 13. 9 6 8 7 _____________ 7 1 7 6 2 5 1 1 _____________ 4 6 6 5 14. 8 2 7 4 _____________ 5 3 6 7 2 9 0 7 _____________ 2 4 6 0 15. 8 5 9 0 _____________ 7 2 6 1 1 3 2 9 _____________ 5 9 3 2 16. 7 8 3 6 _____________ 6 3 2 6 1 5 1 0 _____________ 4 8 1 6 17. 7 0 8 3 _____________ 5 6 7 9 1 4 0 4 _____________ 4 2 7 5 18. 8 9 0 5 _____________ 6 5 5 7 2 3 4 8 _____________ 4 2 0 9 19. 9 7 1 3 _____________ 6 0 7 3 3 6 4 0 _____________ 2 4 3 3 20. 9 5 0 0 _____________ 5 6 5 1 3 8 4 9 _____________ 1 8 0 2 21. 8 0 5 8 _____________ 4 9 2 3 3 1 3 5 _____________ 1 7 8 8 22. 4 8 2 9 _____________ 3 0 9 6 1 7 3 3 _____________ 1 3 6 3 23. 6 8 3 4 _____________ 5 3 8 3 1 4 5 1 _____________ 3 9 3 2 24. 8 7 5 3 _____________ 6 3 8 1 2 3 7 2 _____________ 4 0 0 9 25. 9 6 2 8 _____________ 5 7 1 5 3 9 1 3 _____________ 1 8 0 2 26. 9 8 5 3 _____________ 5 7 2 8 4 1 2 5 _____________ 1 6 0 3 27. 7 6 9 8 _____________ 6 1 5 3 1 5 4 5 _____________ 4 6 0 8 28. 9 5 0 1 _____________ 5 6 3 0 3 8 7 1 _____________ 1 7 5 9 29. 8 5 1 1 _____________ 6 4 1 8 2 0 9 3 _____________ 4 3 2 5 30. 9 4 7 3 _____________ 5 3 6 8 4 1 0 5 _____________ 1 2 6 3 31. 8 5 6 5 _____________ 5 3 0 1 3 2 6 4 _____________ 2 0 3 7 32. 8 9 3 7 _____________ 5 3 0 3 3 6 3 4 _____________ 1 6 6 9 33. 7 1 1 0 _____________ 4 6 2 7 2 4 8 3 _____________ 2 1 4 4 34. 6 5 8 7 _____________ 4 7 7 6 1 8 1 1 _____________ 2 9 6 5 35. 6 0 5 4 _____________ 4 0 2 9 2 0 2 5 _____________ 2 0 0 4 36. 7 4 6 8 _____________ 4 6 3 5 2 8 3 3 _____________ 1 8 0 2 37. 8 1 2 1 _____________ 5 4 3 2 2 6 8 9 _____________ 2 7 4 3 38. 8 3 9 2 _____________ 4 8 8 1 3 5 1 1 _____________ 1 3 7 0 39. 8 6 1 4 _____________ 6 7 0 1 1 9 1 3 _____________ 4 7 8 8 40. 9 1 1 0 _____________ 6 7 4 1 2 3 6 9 _____________ 4 3 7 2 41. 9 6 4 0 _____________ 7 3 2 8 2 3 1 2 _____________ 5 0 1 6 42. 8 3 4 4 _____________ 5 9 3 5 2 4 0 9 _____________ 3 5 2 6 43. 9 5 5 6 _____________ 5 4 1 7 4 1 3 9 _____________ 1 2 7 8 44. 9 2 0 0 _____________ 7 4 1 9 1 7 8 1 _____________ 5 6 3 8 45. 9 0 0 6 _____________ 6 2 9 6 2 7 1 0 _____________ 3 5 8 6 46. 8 7 3 2 _____________ 5 2 8 2 3 4 5 0 _____________ 1 8 3 2 47. 9 6 0 6 _____________ 5 4 4 2 4 1 6 4 _____________ 1 2 7 8 48. 9 7 8 1 _____________ 6 9 2 2 2 8 5 9 _____________ 4 0 6 3 49. 7 5 4 3 _____________ 4 7 2 8 2 8 1 5 _____________ 1 9 1 3 50. 9 6 8 0 _____________ 5 7 3 5 3 9 4 5 _____________ 1 7 9 0 51. 9 5 7 1 _____________ 5 9 4 2 3 6 2 9 _____________ 2 3 1 3 52. 7 4 2 2 _____________ 4 3 4 1 3 0 8 1 _____________ 1 2 6 0 53. 9 5 1 6 _____________ 5 3 7 8 4 1 3 8 _____________ 1 2 4 0 54. 9 8 7 1 _____________ 5 6 0 8 4 2 6 3 _____________ 1 3 4 5 55. 7 1 4 6 _____________ 4 2 5 4 2 8 9 2 _____________ 1 3 6 2 56. 9 3 2 2 _____________ 5 6 8 5 3 6 3 7 _____________ 2 0 4 8 57. 4 8 3 0 _____________ 3 4 4 0 1 3 9 0 _____________ 2 0 5 0 58. 9 6 4 5 _____________ 8 3 9 9 1 2 4 6 _____________ 7 1 5 3 59. 8 6 6 6 _____________ 4 9 7 1 3 6 9 5 _____________ 1 2 7 6 60. 9 6 9 5 _____________ 7 3 3 4 2 3 6 1 _____________ 4 9 7 3 61. 9 7 2 0 _____________ 5 6 8 6 4 0 3 4 _____________ 1 6 5 2 62. 9 3 4 8 _____________ 6 9 5 3 2 3 9 5 _____________ 4 5 5 8 63. 4 7 6 1 _____________ 3 0 2 6 1 7 3 5 _____________ 1 2 9 1 64. 9 5 4 0 _____________ 5 4 4 2 4 0 9 8 _____________ 1 3 4 4 65. 9 4 0 8 _____________ 6 5 1 2 2 8 9 6 _____________ 3 6 1 6 66. 6 1 3 8 _____________ 3 6 8 7 2 4 5 1 _____________ 1 2 3 6 67. 9 0 2 3 _____________ 5 7 6 8 3 2 5 5 _____________ 2 5 1 3 68. 7 3 5 0 _____________ 5 8 2 3 1 5 2 7 _____________ 4 2 9 6 69. 8 6 9 7 _____________ 5 4 1 2 3 2 8 5 _____________ 2 1 2 7 70. 6 8 0 0 _____________ 4 6 5 0 2 1 5 0 _____________ 2 5 0 0 71. 7 4 0 0 _____________ 4 6 4 5 2 7 5 5 _____________ 1 8 9 0 72. 6 1 9 2 _____________ 4 7 1 5 1 4 7 7 _____________ 3 2 3 8 73. 7 9 4 7 _____________ 4 8 5 0 3 0 9 7 _____________ 1 7 5 3 74. 7 9 1 8 _____________ 6 3 8 4 1 5 3 4 _____________ 4 8 5 0 75. 9 4 5 5 _____________ 8 0 9 9 1 3 5 6 _____________ 6 7 4 3 76. 9 5 2 1 _____________ 5 4 3 6 4 0 8 5 _____________ 1 3 5 1 77. 9 4 1 4 _____________ 8 0 7 6 1 3 3 8 _____________ 6 7 3 8 78. 9 8 3 9 _____________ 5 9 1 8 3 9 2 1 _____________ 1 9 9 7 79. 5 9 7 1 _____________ 4 5 7 9 1 3 9 2 _____________ 3 1 8 7 80. 9 6 8 3 _____________ 6 7 0 8 2 9 7 5 _____________ 3 7 3 3 81. 8 6 2 5 _____________ 5 0 5 3 3 5 7 2 _____________ 1 4 8 1 82. 7 8 0 0 _____________ 4 5 5 6 3 2 4 4 _____________ 1 3 1 2 83. 9 8 4 2 _____________ 7 5 3 8 2 3 0 4 _____________ 5 2 3 4 84. 6 8 0 5 _____________ 5 0 6 5 1 7 4 0 _____________ 3 3 2 5 85. 9 5 6 7 _____________ 6 0 4 0 3 5 2 7 _____________ 2 5 1 3 86. 5 8 2 7 _____________ 4 1 0 3 1 7 2 4 _____________ 2 3 7 9 87. 7 8 8 6 _____________ 4 7 0 8 3 1 7 8 _____________ 1 5 3 0 88. 9 7 2 4 _____________ 5 7 8 8 3 9 3 6 _____________ 1 8 5 2 89. 8 9 5 2 _____________ 5 1 8 7 3 7 6 5 _____________ 1 4 2 2 90. 6 4 2 8 _____________ 4 6 1 9 1 8 0 9 _____________ 2 8 1 0 91. 9 1 8 1 _____________ 5 5 0 7 3 6 7 4 _____________ 1 8 3 3 92. 9 1 6 3 _____________ 5 2 1 7 3 9 4 6 _____________ 1 2 7 1 93. 9 5 1 4 _____________ 5 3 9 4 4 1 2 0 _____________ 1 2 7 4 94. 8 6 7 4 _____________ 6 5 2 4 2 1 5 0 _____________ 4 3 7 4 95. 7 9 3 2 _____________ 6 3 8 3 1 5 4 9 _____________ 4 8 3 4 96. 5 8 6 5 _____________ 3 8 1 2 2 0 5 3 _____________ 1 7 5 9 97. 9 4 3 9 _____________ 5 4 7 1 3 9 6 8 _____________ 1 5 0 3 98. 8 5 2 9 _____________ 5 0 3 9 3 4 9 0 _____________ 1 5 4 9 99. 7 8 3 0 _____________ 4 9 0 0 2 9 3 0 _____________ 1 9 7 0 100. 5 2 8 5 _____________ 3 9 2 8 1 3 5 7 _____________ 2 5 7 1 101. 7 1 6 4 _____________ 4 6 2 1 2 5 4 3 _____________ 2 0 7 8 102. 9 6 2 8 _____________ 6 4 1 6 3 2 1 2 _____________ 3 2 0 4 103. 7 8 6 8 _____________ 4 9 1 0 2 9 5 8 _____________ 1 9 5 2 104. 8 9 0 6 _____________ 6 2 3 2 2 6 7 4 _____________ 3 5 5 8 105. 4 7 1 7 _____________ 3 0 7 5 1 6 4 2 _____________ 1 4 3 3 106. 9 8 5 6 _____________ 7 3 2 0 2 5 3 6 _____________ 4 7 8 4 107. 7 2 9 2 _____________ 4 3 0 9 2 9 8 3 _____________ 1 3 2 6 108. 9 8 6 9 _____________ 5 7 8 2 4 0 8 7 _____________ 1 6 9 5 109. 8 0 3 9 _____________ 5 6 3 7 2 4 0 2 _____________ 3 2 3 5 110. 8 8 1 0 _____________ 5 9 4 3 2 8 6 7 _____________ 3 0 7 6 111. 8 6 7 1 _____________ 5 2 1 4 3 4 5 7 _____________ 1 7 5 7 112. 9 8 3 2 _____________ 5 6 0 3 4 2 2 9 _____________ 1 3 7 4 113. 8 7 0 5 _____________ 5 1 1 3 3 5 9 2 _____________ 1 5 2 1 114. 8 5 4 3 _____________ 4 9 8 6 3 5 5 7 _____________ 1 4 2 9 115. 8 1 6 7 _____________ 5 1 2 2 3 0 4 5 _____________ 2 0 7 7 116. 9 7 8 3 _____________ 6 0 4 8 3 7 3 5 _____________ 2 3 1 3 117. 9 6 7 1 _____________ 5 6 1 6 4 0 5 5 _____________ 1 5 6 1 118. 9 7 5 0 _____________ 5 6 7 2 4 0 7 8 _____________ 1 5 9 4 119. 7 9 6 3 _____________ 4 7 2 6 3 2 3 7 _____________ 1 4 8 9 120. 9 5 4 2 _____________ 7 5 1 0 2 0 3 2 _____________ 5 4 7 8 121. 9 2 9 5 _____________ 6 3 8 3 2 9 1 2 _____________ 3 4 7 1 122. 9 8 6 0 _____________ 6 2 3 6 3 6 2 4 _____________ 2 6 1 2 123. 4 9 3 2 _____________ 3 5 0 5 1 4 2 7 _____________ 2 0 7 8 124. 9 8 4 7 _____________ 5 7 7 6 4 0 7 1 _____________ 1 7 0 5 125. 9 8 4 5 _____________ 8 3 4 9 1 4 9 6 _____________ 6 8 5 3 126. 6 5 8 6 _____________ 5 1 1 6 1 4 7 0 _____________ 3 6 4 6 127. 9 7 0 1 _____________ 6 7 3 0 2 9 7 1 _____________ 3 7 5 9 128. 7 8 8 4 _____________ 5 3 9 6 2 4 8 8 _____________ 2 9 0 8 129. 7 1 0 7 _____________ 5 1 3 9 1 9 6 8 _____________ 3 1 7 1 130. 7 6 7 5 _____________ 6 1 8 9 1 4 8 6 _____________ 4 7 0 3 131. 9 4 3 8 _____________ 5 7 6 1 3 6 7 7 _____________ 2 0 8 4 132. 6 3 5 6 _____________ 3 8 6 4 2 4 9 2 _____________ 1 3 7 2 133. 5 3 1 3 _____________ 3 8 5 0 1 4 6 3 _____________ 2 3 8 7 134. 8 5 3 3 _____________ 6 3 6 6 2 1 6 7 _____________ 4 1 9 9 135. 7 3 4 8 _____________ 4 5 1 8 2 8 3 0 _____________ 1 6 8 8 136. 9 8 0 9 _____________ 5 7 8 1 4 0 2 8 _____________ 1 7 5 3 137. 6 3 8 3 _____________ 3 9 1 0 2 4 7 3 _____________ 1 4 3 7 138. 7 8 1 5 _____________ 5 2 0 3 2 6 1 2 _____________ 2 5 9 1 139. 9 1 0 8 _____________ 5 6 2 6 3 4 8 2 _____________ 2 1 4 4 140. 8 7 1 2 _____________ 4 9 9 1 3 7 2 1 _____________ 1 2 7 0 141. 8 5 0 2 _____________ 5 3 5 0 3 1 5 2 _____________ 2 1 9 8 142. 9 3 1 4 _____________ 5 8 3 6 3 4 7 8 _____________ 2 3 5 8 143. 7 4 3 8 _____________ 5 6 3 2 1 8 0 6 _____________ 3 8 2 6 144. 6 4 2 5 _____________ 4 3 0 2 2 1 2 3 _____________ 2 1 7 9 145. 9 2 2 3 _____________ 7 5 2 2 1 7 0 1 _____________ 5 8 2 1 146. 9 2 3 6 _____________ 6 1 7 2 3 0 6 4 _____________ 3 1 0 8 147. 9 7 2 1 _____________ 6 1 4 0 3 5 8 1 _____________ 2 5 5 9 148. 8 4 2 5 _____________ 5 2 9 6 3 1 2 9 _____________ 2 1 6 7 149. 9 8 3 4 _____________ 5 9 7 8 3 8 5 6 _____________ 2 1 2 2 150. 7 0 8 5 _____________ 4 7 1 3 2 3 7 2 _____________ 2 3 4 1 151. 9 7 6 8 _____________ 6 7 8 6 2 9 8 2 _____________ 3 8 0 4 152. 9 4 7 6 _____________ 5 6 1 0 3 8 6 6 _____________ 1 7 4 4 153. 8 7 9 3 _____________ 5 0 7 5 3 7 1 8 _____________ 1 3 5 7 154. 7 5 2 7 _____________ 6 0 9 7 1 4 3 0 _____________ 4 6 6 7 155. 9 2 4 3 _____________ 5 4 6 0 3 7 8 3 _____________ 1 6 7 7 156. 8 1 4 4 _____________ 4 9 2 6 3 2 1 8 _____________ 1 7 0 8 157. 9 7 6 3 _____________ 5 6 9 6 4 0 6 7 _____________ 1 6 2 9 158. 9 1 8 8 _____________ 6 0 0 3 3 1 8 5 _____________ 2 8 1 8 159. 8 3 8 0 _____________ 5 7 7 9 2 6 0 1 _____________ 3 1 7 8 160. 9 4 8 3 _____________ 5 6 6 1 3 8 2 2 _____________ 1 8 3 9 161. 6 8 4 5 _____________ 4 1 6 7 2 6 7 8 _____________ 1 4 8 9 162. 7 5 5 4 _____________ 5 0 6 5 2 4 8 9 _____________ 2 5 7 6 163. 9 7 6 6 _____________ 5 6 6 7 4 0 9 9 _____________ 1 5 6 8 164. 9 6 5 3 _____________ 5 7 5 1 3 9 0 2 _____________ 1 8 4 9 165. 6 0 8 2 _____________ 3 7 2 3 2 3 5 9 _____________ 1 3 6 4 166. 7 9 2 7 _____________ 5 8 0 4 2 1 2 3 _____________ 3 6 8 1 167. 9 7 9 8 _____________ 5 6 2 9 4 1 6 9 _____________ 1 4 6 0 168. 8 9 6 2 _____________ 6 5 4 8 2 4 1 4 _____________ 4 1 3 4 169. 9 3 0 2 _____________ 5 4 9 5 3 8 0 7 _____________ 1 6 8 8 170. 8 5 4 0 _____________ 5 7 7 2 2 7 6 8 _____________ 3 0 0 4 171. 9 0 8 8 _____________ 5 4 6 3 3 6 2 5 _____________ 1 8 3 8 172. 7 8 0 5 _____________ 4 7 9 3 3 0 1 2 _____________ 1 7 8 1 173. 9 7 5 2 _____________ 6 2 6 6 3 4 8 6 _____________ 2 7 8 0 174. 9 6 2 5 _____________ 5 4 3 0 4 1 9 5 _____________ 1 2 3 5 175. 9 3 7 3 _____________ 7 8 1 5 1 5 5 8 _____________ 6 2 5 7 176. 8 5 1 0 _____________ 4 9 8 2 3 5 2 8 _____________ 1 4 5 4 177. 5 2 6 9 _____________ 3 4 0 3 1 8 6 6 _____________ 1 5 3 7 178. 9 0 1 0 _____________ 5 7 6 5 3 2 4 5 _____________ 2 5 2 0 179. 7 9 3 7 _____________ 5 4 5 9 2 4 7 8 _____________ 2 9 8 1 180. 7 4 0 1 _____________ 5 2 6 0 2 1 4 1 _____________ 3 1 1 9 181. 9 6 6 8 _____________ 5 6 0 2 4 0 6 6 _____________ 1 5 3 6 182. 8 3 5 0 _____________ 5 1 9 7 3 1 5 3 _____________ 2 0 4 4 183. 6 2 3 5 _____________ 3 8 6 3 2 3 7 2 _____________ 1 4 9 1 184. 8 6 3 5 _____________ 7 1 6 8 1 4 6 7 _____________ 5 7 0 1 185. 9 3 6 1 _____________ 5 6 8 7 3 6 7 4 _____________ 2 0 1 3 186. 9 6 7 9 _____________ 5 4 9 2 4 1 8 7 _____________ 1 3 0 5 187. 9 7 0 1 _____________ 6 9 1 2 2 7 8 9 _____________ 4 1 2 3 188. 9 8 0 3 _____________ 5 7 6 8 4 0 3 5 _____________ 1 7 3 3 189. 8 1 7 7 _____________ 5 0 9 3 3 0 8 4 _____________ 2 0 0 9 190. 8 5 1 2 _____________ 4 8 9 6 3 6 1 6 _____________ 1 2 8 0 191. 6 3 2 8 _____________ 4 2 0 0 2 1 2 8 _____________ 2 0 7 2 192. 9 7 6 5 _____________ 6 8 2 3 2 9 4 2 _____________ 3 8 8 1 193. 9 8 5 6 _____________ 5 9 4 8 3 9 0 8 _____________ 2 0 4 0 194. 9 8 0 1 _____________ 6 1 5 0 3 6 5 1 _____________ 2 4 9 9 195. 7 9 4 7 _____________ 4 8 2 5 3 1 2 2 _____________ 1 7 0 3 196. 8 1 8 7 _____________ 5 3 2 8 2 8 5 9 _____________ 2 4 6 9 197. 9 3 3 6 _____________ 6 7 2 3 2 6 1 3 _____________ 4 1 1 0 198. 7 3 1 4 _____________ 5 4 3 5 1 8 7 9 _____________ 3 5 5 6 199. 8 1 8 5 _____________ 6 1 8 8 1 9 9 7 _____________ 4 1 9 1 200. 8 6 4 1 _____________ 5 0 7 2 3 5 6 9 _____________ 1 5 0 3