There are, 1, Reduced Latin triangles of side, 3, here there are 2 3, 1 1, 2, 3 ------------------------------ There are, 0, Reduced Latin triangles of side, 4, here there are ------------------------------ There are, 4, Reduced Latin triangles of side, 5, here there are 4 2, 3 5, 1, 2 3, 4, 5, 1 1, 2, 3, 4, 5 3 2, 4 5, 3, 1 4, 1, 5, 2 1, 2, 3, 4, 5 3 5, 1 2, 3, 4 4, 5, 1, 2 1, 2, 3, 4, 5 2 3, 4 4, 5, 1 5, 1, 2, 3 1, 2, 3, 4, 5 ------------------------------ There are, 236, Reduced Latin triangles of side, 6, here there are 5 4, 3 2, 1, 4 6, 5, 2, 1 3, 4, 1, 6, 2 1, 2, 3, 4, 5, 6 5 4, 1 2, 3, 4 6, 5, 2, 3 3, 4, 1, 6, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 2, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 4, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 1 5, 1, 4, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 1 5, 1, 6, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 6, 2, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 6, 4, 3 3, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 4 5, 1, 6, 3 3, 4, 5, 2, 1 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 4 5, 1, 2, 3 3, 4, 5, 6, 1 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 2 5, 1, 4, 3 3, 4, 5, 6, 1 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 1 5, 1, 4, 3 3, 4, 5, 6, 2 1, 2, 3, 4, 5, 6 4 6, 5 5, 3, 1 2, 1, 4, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 2, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 4, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 5, 3, 1 6, 1, 4, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 5, 6, 1 6, 1, 4, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 3 5, 6, 1 6, 1, 4, 5 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 5 4, 1 2, 3, 4 6, 5, 2, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 5 4, 1 2, 6, 4 6, 5, 2, 3 3, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 5, 3, 2 2, 1, 4, 3 3, 4, 6, 2, 1 1, 2, 3, 4, 5, 6 5 2, 3 6, 4, 1 4, 1, 6, 2 3, 5, 2, 1, 4 1, 2, 3, 4, 5, 6 5 6, 4 2, 3, 1 4, 1, 2, 3 3, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 3 5, 6, 1 6, 1, 4, 5 3, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 2 6, 3 5, 4, 1 4, 1, 2, 5 3, 5, 6, 1, 4 1, 2, 3, 4, 5, 6 2 4, 3 5, 6, 1 6, 1, 2, 5 3, 5, 6, 1, 4 1, 2, 3, 4, 5, 6 5 4, 3 6, 1, 2 2, 5, 6, 1 3, 6, 1, 2, 4 1, 2, 3, 4, 5, 6 5 4, 1 6, 3, 2 2, 5, 6, 3 3, 6, 1, 2, 4 1, 2, 3, 4, 5, 6 5 2, 3 6, 4, 1 4, 1, 6, 2 3, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 5 2, 3 6, 4, 1 4, 5, 6, 2 3, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 1 5, 1, 6, 3 3, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 5 6, 4 2, 3, 1 4, 1, 2, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 5 2, 4 6, 3, 1 4, 1, 6, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 2, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 4, 1 5, 1, 2, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 6, 5 2, 3, 1 5, 1, 4, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 1 5, 1, 4, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 6, 3, 1 5, 1, 6, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 6, 4, 1 5, 1, 6, 3 3, 6, 5, 1, 2 1, 2, 3, 4, 5, 6 5 2, 3 6, 4, 1 4, 1, 6, 2 3, 6, 5, 1, 4 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 1 5, 1, 2, 3 3, 6, 5, 1, 4 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 1 5, 1, 6, 3 3, 6, 5, 1, 4 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 4 5, 1, 6, 3 3, 6, 5, 2, 1 1, 2, 3, 4, 5, 6 2 4, 5 6, 3, 1 5, 1, 6, 3 3, 6, 5, 2, 4 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 3, 4, 5 4, 1, 6, 2, 3 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 1 6, 3, 4, 5 4, 1, 6, 3, 2 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 4, 1 4, 5, 1, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 6, 1 4, 5, 1, 2, 3 1, 2, 3, 4, 5, 6 5 6, 4 3, 1, 2 2, 6, 4, 1 4, 5, 1, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 4, 1 4, 5, 1, 6, 3 1, 2, 3, 4, 5, 6 5 2, 4 3, 6, 1 6, 1, 4, 2 4, 5, 2, 1, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 1, 4, 5 4, 5, 2, 1, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 3, 4, 5 4, 5, 2, 1, 3 1, 2, 3, 4, 5, 6 3 6, 4 5, 3, 1 2, 1, 4, 5 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 5 3, 4 2, 6, 1 6, 1, 2, 3 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 5 3, 4 2, 6, 1 6, 1, 4, 3 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 5 2, 4 3, 6, 1 6, 1, 4, 3 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 3 2, 4 5, 3, 1 6, 1, 4, 5 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 1 6, 1, 4, 5 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 1 6, 3, 4, 5 4, 5, 6, 1, 2 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 1, 2, 5 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 5 3, 4 2, 6, 1 6, 1, 4, 2 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 5 2, 4 3, 6, 1 6, 1, 4, 2 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 1, 4, 5 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 3, 2, 5 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 2 3, 1 5, 6, 4 6, 3, 2, 5 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 5 3, 4 2, 6, 1 6, 3, 4, 2 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 3, 4, 5 4, 5, 6, 1, 3 1, 2, 3, 4, 5, 6 3 6, 4 5, 3, 2 2, 1, 4, 5 4, 5, 6, 2, 1 1, 2, 3, 4, 5, 6 3 6, 4 5, 1, 2 2, 3, 4, 5 4, 5, 6, 2, 1 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 1, 4, 5 4, 5, 6, 2, 3 1, 2, 3, 4, 5, 6 2 3, 1 5, 6, 4 6, 3, 1, 5 4, 5, 6, 2, 3 1, 2, 3, 4, 5, 6 2 3, 4 5, 6, 1 6, 3, 4, 5 4, 5, 6, 2, 3 1, 2, 3, 4, 5, 6 3 6, 4 5, 1, 2 2, 3, 4, 5 4, 5, 6, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 2 6, 1, 4, 5 4, 5, 6, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 2 6, 3, 1, 5 4, 5, 6, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 5, 1, 2 6, 3, 4, 5 4, 5, 6, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 2 6, 3, 4, 5 4, 5, 6, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 1 6, 1, 4, 5 4, 5, 6, 3, 2 1, 2, 3, 4, 5, 6 3 2, 1 5, 6, 4 6, 3, 1, 5 4, 5, 6, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 5, 6, 1 6, 3, 4, 5 4, 5, 6, 3, 2 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 4, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 6, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 5 6, 4 3, 1, 2 2, 5, 4, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 5, 4, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 5, 6, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 4 6, 1, 5 5, 3, 4, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 5 6, 1, 4 5, 3, 6, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 4 6, 1, 5 5, 3, 6, 1 4, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 3 6, 5 2, 1, 4 5, 3, 2, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 6, 4 2, 1, 5 5, 3, 2, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 6, 4 2, 1, 5 5, 3, 4, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 5, 3, 4, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 5, 3, 6, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 5, 3, 6, 1 4, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 5, 3, 4, 2 4, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 5, 3, 6, 2 4, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 5, 3, 6, 2 4, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 4, 1 4, 6, 5, 2, 3 1, 2, 3, 4, 5, 6 5 3, 4 6, 1, 2 2, 3, 6, 1 4, 6, 5, 2, 3 1, 2, 3, 4, 5, 6 2 3, 5 6, 1, 4 5, 3, 6, 1 4, 6, 5, 2, 3 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 5, 3, 6, 2 4, 6, 5, 3, 1 1, 2, 3, 4, 5, 6 3 6, 5 2, 1, 4 5, 3, 2, 1 4, 6, 5, 3, 2 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 5, 3, 6, 1 4, 6, 5, 3, 2 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 1 4, 3, 6, 2 5, 1, 2, 3, 4 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 6, 3, 2, 1 5, 1, 6, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 4, 1 5, 1, 6, 3, 2 1, 2, 3, 4, 5, 6 2 6, 3 3, 4, 5 4, 5, 2, 1 5, 1, 6, 3, 4 1, 2, 3, 4, 5, 6 2 4, 3 3, 6, 5 6, 5, 2, 1 5, 1, 6, 3, 4 1, 2, 3, 4, 5, 6 4 3, 5 6, 1, 2 2, 3, 4, 1 5, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 6, 1, 2 2, 3, 6, 1 5, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 6, 5 3, 1, 2 2, 6, 4, 1 5, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 3 4, 5 6, 1, 4 2, 3, 6, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 6, 3 3, 1, 5 2, 5, 4, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 6, 3 3, 1, 5 2, 6, 4, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 6, 3, 2, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 6, 3, 2, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 1 2, 6, 4 6, 3, 2, 5 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 4, 1 5, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 6, 3, 2, 1 5, 4, 1, 6, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 1 5, 4, 1, 6, 2 1, 2, 3, 4, 5, 6 4 3, 5 6, 1, 2 2, 3, 4, 1 5, 4, 1, 6, 3 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 6, 1, 4, 2 5, 4, 2, 1, 3 1, 2, 3, 4, 5, 6 4 2, 1 3, 6, 5 6, 5, 4, 2 5, 4, 2, 1, 3 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 1, 4, 2 5, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 1, 2 5, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 2 5, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 4, 2 5, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 2 5, 4, 2, 6, 1 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 6, 1, 2, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 6, 1, 4, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 6, 1, 4, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 1 6, 1, 4, 5 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 3 4, 1 2, 6, 4 6, 3, 2, 5 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 3, 1 2, 6, 5 6, 5, 2, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 3, 1 2, 6, 5 6, 5, 4, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 2, 1 3, 6, 5 6, 5, 4, 3 5, 4, 6, 1, 2 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 6, 1, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 6, 1, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 6, 3, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 4 3, 1 2, 6, 5 6, 3, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 4 3, 1 2, 6, 5 6, 5, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 4 2, 1 3, 6, 5 6, 5, 4, 2 5, 4, 6, 1, 3 1, 2, 3, 4, 5, 6 2 4, 3 3, 6, 4 6, 1, 2, 5 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 1, 4, 2 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 2 6, 1, 4, 5 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 6, 3, 1, 2 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 1, 2 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 2 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 4, 2 5, 4, 6, 3, 1 1, 2, 3, 4, 5, 6 4 6, 3 3, 1, 5 2, 5, 4, 1 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 1 6, 1, 4, 5 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 3 4, 1 2, 6, 4 6, 3, 1, 5 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 6, 3, 2, 1 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 6, 3, 2, 1 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 3 4, 1 2, 6, 4 6, 3, 2, 5 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 6, 5, 4, 1 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 6, 5, 4, 1 5, 4, 6, 3, 2 1, 2, 3, 4, 5, 6 4 3, 5 6, 1, 2 2, 3, 4, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 6, 1, 2 2, 3, 6, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 6, 4, 2 2, 3, 6, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 1 6, 4, 2 2, 3, 6, 5 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 5 6, 1, 4 4, 3, 6, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 4 6, 1, 5 4, 3, 6, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 2 3, 4 6, 1, 5 4, 5, 6, 1 5, 6, 1, 2, 3 1, 2, 3, 4, 5, 6 3 4, 5 6, 1, 2 2, 3, 6, 1 5, 6, 1, 2, 4 1, 2, 3, 4, 5, 6 2 3, 1 6, 4, 5 4, 5, 6, 3 5, 6, 1, 2, 4 1, 2, 3, 4, 5, 6 3 4, 5 6, 1, 4 2, 3, 6, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 4 6, 3 3, 1, 5 2, 5, 4, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 6, 5 2, 1, 4 4, 3, 2, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 6, 4 2, 1, 5 4, 3, 2, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 4, 3, 6, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 4, 3, 6, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 6, 4 2, 1, 5 4, 5, 2, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 4, 5, 6, 1 5, 6, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 6, 1, 2 2, 3, 6, 1 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 2 4, 3, 6, 1 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 2 4, 3, 6, 1 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 3, 6, 2 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 2 4, 3, 6, 5 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 2 6, 3 3, 1, 5 4, 5, 2, 1 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 2 6, 3 3, 4, 5 4, 5, 2, 1 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 5, 6, 2 5, 6, 1, 3, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 3, 1 4, 1, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 1 4, 1, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 2 3, 5 6, 4, 1 4, 1, 6, 3 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 1 4, 3, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 3, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 3, 5 4, 5, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 5, 6, 2 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 2 3, 1 6, 4, 5 4, 5, 6, 3 5, 6, 2, 1, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 1, 4 4, 3, 6, 2 5, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 4, 3, 6, 2 5, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 3 2, 4 6, 1, 5 4, 5, 6, 2 5, 6, 2, 3, 1 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 1 4, 1, 6, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 3, 1, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 5 6, 4, 1 4, 3, 6, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 3, 6, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 5, 1, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 1 6, 4, 5 4, 5, 6, 2 5, 6, 2, 3, 4 1, 2, 3, 4, 5, 6 3 2, 5 5, 4, 1 4, 3, 6, 2 6, 1, 2, 3, 4 1, 2, 3, 4, 5, 6 5 2, 3 3, 4, 1 4, 5, 6, 2 6, 1, 2, 3, 4 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 5, 3, 2, 1 6, 1, 5, 3, 2 1, 2, 3, 4, 5, 6 4 3, 5 5, 1, 2 2, 3, 4, 1 6, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 5, 6, 2 2, 3, 4, 1 6, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 1 5, 6, 2 2, 3, 4, 5 6, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 5, 1, 2 2, 3, 6, 1 6, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 5 5, 1, 2 2, 6, 4, 1 6, 4, 1, 2, 3 1, 2, 3, 4, 5, 6 3 4, 5 5, 1, 4 2, 3, 6, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 5 4, 3 3, 1, 4 2, 5, 6, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 3, 2, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 5, 3, 2, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 3, 6, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 6, 2, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 5, 6, 4, 1 6, 4, 1, 3, 2 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 5, 1, 4, 2 6, 4, 2, 1, 3 1, 2, 3, 4, 5, 6 4 2, 3 3, 6, 5 5, 1, 4, 2 6, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 2, 3 3, 1, 5 5, 6, 4, 2 6, 4, 2, 3, 1 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 5, 1, 2, 3 6, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 5, 1, 4, 3 6, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 5, 1, 4, 3 6, 4, 5, 1, 2 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 5, 1, 4, 2 6, 4, 5, 1, 3 1, 2, 3, 4, 5, 6 4 2, 5 3, 6, 1 5, 1, 4, 2 6, 4, 5, 1, 3 1, 2, 3, 4, 5, 6 4 3, 5 2, 6, 1 5, 3, 4, 2 6, 4, 5, 1, 3 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 5, 3, 1, 2 6, 4, 5, 3, 1 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 3, 6, 2 6, 4, 5, 3, 1 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 3, 2, 1 6, 4, 5, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 6, 4 5, 3, 2, 1 6, 4, 5, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 3, 6, 1 6, 4, 5, 3, 2 1, 2, 3, 4, 5, 6 3 4, 5 2, 1, 4 5, 6, 2, 1 6, 4, 5, 3, 2 1, 2, 3, 4, 5, 6 4 3, 1 5, 6, 2 2, 3, 4, 5 6, 5, 1, 2, 3 1, 2, 3, 4, 5, 6 4 3, 1 5, 4, 2 2, 3, 6, 5 6, 5, 1, 2, 3 1, 2, 3, 4, 5, 6 3 2, 1 5, 4, 2 4, 3, 6, 5 6, 5, 1, 3, 4 1, 2, 3, 4, 5, 6 5 2, 3 3, 4, 1 4, 1, 6, 2 6, 5, 2, 1, 4 1, 2, 3, 4, 5, 6 5 2, 3 3, 4, 1 4, 1, 6, 2 6, 5, 2, 3, 4 1, 2, 3, 4, 5, 6 ------------------------------ There are, 27820, Reduced Latin triangles of side, 7, here there are 2 5, 6 7, 3, 4 6, 4, 7, 1 4, 5, 1, 2, 3 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 1, 2 4, 5, 7, 3, 1 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 2, 3 7, 5, 4 5, 4, 7, 1 4, 6, 1, 3, 2 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 7, 3 2, 5, 4 5, 4, 1, 2 4, 6, 7, 3, 1 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 1, 2 4, 6, 7, 3, 1 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 2 5, 6 7, 3, 4 6, 4, 7, 1 4, 7, 1, 2, 3 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 2, 3 7, 5, 4 5, 4, 7, 1 4, 7, 1, 3, 2 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 7, 1 7, 3, 5, 2 5, 6, 7, 1, 3 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 6, 4, 7, 1 5, 7, 1, 3, 2 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 6, 3, 7, 2 5, 7, 4, 1, 3 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 4 5, 3 2, 7, 6 7, 4, 1, 2 6, 5, 7, 3, 1 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 5, 4, 7, 1 6, 7, 1, 3, 2 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 5, 3, 7, 2 6, 7, 4, 1, 3 3, 1, 2, 6, 4, 5 1, 2, 3, 4, 5, 6, 7 6 4, 5 2, 3, 1 7, 4, 5, 3 5, 6, 7, 1, 2 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 6 4, 5 2, 3, 1 7, 4, 5, 2 5, 6, 7, 1, 3 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 5 7, 3, 6 6, 4, 5, 1 5, 7, 1, 2, 3 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 3, 1 7, 4, 5, 3 6, 5, 7, 1, 2 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 3, 1 7, 4, 5, 2 6, 5, 7, 1, 3 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 2 5, 6 4, 3, 5 6, 7, 4, 1 7, 5, 1, 2, 3 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 3, 1 6, 7, 5, 3 7, 5, 4, 1, 2 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 3, 1 6, 7, 5, 2 7, 5, 4, 1, 3 3, 1, 2, 6, 7, 4 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 5, 1 7, 3, 4, 2 5, 6, 7, 1, 3 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 4 7, 4, 1, 2 5, 6, 7, 3, 1 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 3, 4 6, 4, 5, 1 5, 7, 1, 2, 3 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 4, 1 6, 3, 5, 2 5, 7, 4, 1, 3 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 2 5, 4 4, 3, 6 6, 7, 4, 1 7, 5, 1, 2, 3 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 4 5, 3 2, 4, 6 6, 7, 1, 2 7, 5, 4, 3, 1 3, 1, 2, 6, 7, 5 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 1, 2 4, 5, 6, 3, 1 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 6 7, 3 2, 5, 4 5, 4, 1, 2 4, 7, 6, 3, 1 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 7, 6 2, 3, 1 6, 4, 5, 3 5, 7, 6, 1, 2 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 7, 6 2, 3, 1 6, 4, 5, 2 5, 7, 6, 1, 3 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 5, 3 2, 7, 6 7, 6, 1, 2 6, 5, 4, 3, 1 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 7, 3 2, 5, 6 5, 6, 1, 2 6, 7, 4, 3, 1 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 5, 6 2, 3, 1 6, 4, 7, 3 7, 5, 6, 1, 2 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 4 5, 6 2, 3, 1 6, 4, 7, 2 7, 5, 6, 1, 3 3, 1, 2, 7, 4, 5 1, 2, 3, 4, 5, 6, 7 5 4, 3 6, 5, 2 7, 4, 1, 6 2, 6, 7, 3, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 2 6, 4, 1, 3 2, 7, 6, 5, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 2, 3 6, 5, 2 7, 4, 1, 6 4, 6, 7, 3, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 5, 6 7, 4, 1 6, 3, 2, 5 4, 7, 6, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 5, 6 7, 3, 1 6, 4, 2, 5 4, 7, 6, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 2 6, 4, 1, 3 4, 7, 6, 5, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 5 6, 3, 1 7, 4, 2, 6 5, 6, 7, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 3, 2, 5 5, 7, 4, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 6 4, 3 7, 5, 2 2, 6, 1, 5 5, 7, 4, 3, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 3, 2, 5 5, 7, 6, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 3, 1 6, 4, 2, 5 5, 7, 6, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 4, 2, 5 5, 7, 6, 1, 3 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 6 4, 3 7, 5, 2 2, 4, 1, 5 5, 7, 6, 3, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 2, 6 4, 5, 1 6, 7, 4, 3 7, 3, 6, 1, 2 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 3 6, 5, 2 2, 7, 1, 6 7, 6, 4, 3, 1 3, 1, 5, 2, 7, 4 1, 2, 3, 4, 5, 6, 7 5 4, 3 7, 5, 2 6, 4, 7, 1 2, 7, 1, 3, 6 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 2 6, 4, 7, 1 2, 7, 1, 5, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 5, 1 6, 3, 7, 2 2, 7, 4, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 5, 6 7, 4, 1 6, 3, 7, 5 4, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 5, 6 7, 3, 1 6, 4, 7, 5 4, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 7, 6 4, 5, 1 6, 3, 4, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 3, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 3, 1 6, 4, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 4, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 5 7, 3, 1 6, 4, 7, 3 5, 7, 2, 1, 6 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 3 7, 5, 1 6, 4, 7, 5 5, 7, 2, 1, 6 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 3 7, 5, 6 6, 4, 1, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 3 7, 5, 6 6, 4, 7, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 3 7, 5, 1 6, 4, 7, 5 5, 7, 2, 3, 6 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 2 4, 6 7, 5, 1 6, 3, 7, 5 5, 7, 4, 1, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 2 2, 4, 7, 1 6, 7, 1, 5, 3 3, 1, 5, 6, 2, 4 1, 2, 3, 4, 5, 6, 7 6 5, 4 4, 7, 1 7, 3, 2, 5 2, 6, 7, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 5, 4 6, 4, 1, 3 4, 3, 2, 7, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 7, 6 2, 5, 4 6, 4, 1, 3 4, 3, 7, 2, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 4 2, 7, 1 7, 3, 2, 5 4, 6, 7, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 1, 5 4, 6, 7, 2, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 1, 5 4, 6, 7, 3, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 7, 4 7, 4, 2, 5 4, 6, 7, 3, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 7, 3 2, 5, 4 6, 4, 2, 1 4, 7, 1, 3, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 3 7, 5, 4 6, 4, 7, 1 4, 7, 1, 3, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 7, 6 2, 3, 4 6, 4, 2, 1 4, 7, 1, 5, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 6, 4, 7, 1 4, 7, 1, 5, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 3 7, 5, 4 6, 4, 7, 1 4, 7, 2, 3, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 6, 4, 1, 3 4, 7, 2, 5, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 6, 4, 7, 3 4, 7, 2, 5, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 6, 4, 7, 1 4, 7, 2, 5, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 6, 3, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 3, 1 6, 4, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 6, 4, 7, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 5 7, 3, 1 6, 4, 7, 3 5, 7, 2, 1, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 1 6, 4, 7, 5 5, 7, 2, 1, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 6, 4, 1, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 6, 4, 7, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 1 6, 4, 7, 5 5, 7, 2, 3, 6 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 7, 6 2, 5, 1 6, 3, 2, 5 5, 7, 4, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 6, 3, 7, 5 5, 7, 4, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 4 5, 6 7, 3, 1 2, 4, 7, 5 6, 7, 2, 1, 3 3, 1, 5, 6, 4, 2 1, 2, 3, 4, 5, 6, 7 5 4, 3 7, 5, 6 6, 4, 2, 1 2, 7, 1, 3, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 4, 3 7, 5, 4 6, 4, 2, 1 2, 7, 1, 3, 6 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 4 6, 4, 2, 1 2, 7, 1, 5, 3 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 4 5, 6 7, 4, 1 6, 3, 2, 5 2, 7, 4, 1, 3 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 6, 4, 1, 3 4, 7, 2, 5, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 5, 1 7, 3, 4, 5 5, 6, 2, 1, 3 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 7, 5, 4 2, 4, 1, 5 5, 6, 2, 3, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 5, 1 7, 3, 4, 5 5, 6, 7, 1, 3 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 5 2, 3, 1 7, 4, 2, 3 5, 6, 7, 1, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 1 7, 4, 2, 5 5, 6, 7, 1, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 5 2, 3, 4 7, 4, 1, 3 5, 6, 7, 2, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 4 7, 4, 1, 5 5, 6, 7, 2, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 4 7, 4, 1, 5 5, 6, 7, 3, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 4 7, 4, 2, 5 5, 6, 7, 3, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 2, 5, 1 7, 4, 2, 5 5, 6, 7, 3, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 1 6, 3, 4, 5 5, 7, 2, 1, 3 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 4, 3 7, 5, 4 2, 4, 1, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 6, 4, 1, 5 5, 7, 2, 3, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 5, 1 7, 4, 2, 3 6, 3, 7, 1, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 2, 5, 4 7, 4, 1, 3 6, 3, 7, 2, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 4 2, 4, 1, 3 6, 7, 2, 5, 1 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 2, 6 4, 5, 1 6, 7, 4, 3 7, 3, 2, 1, 4 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 5 2, 4 4, 5, 1 6, 7, 4, 3 7, 3, 2, 1, 6 3, 1, 5, 6, 7, 2 1, 2, 3, 4, 5, 6, 7 6 5, 4 4, 3, 1 2, 7, 4, 5 7, 6, 2, 1, 3 3, 1, 5, 6, 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4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 3 2, 5, 4 3, 4, 1, 5 4, 1, 6, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 3 3, 5, 4 7, 4, 1, 5 4, 1, 6, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 3 3, 7, 4 7, 4, 1, 5 4, 1, 6, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 4, 1, 3 4, 1, 6, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 1, 3 4, 1, 6, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 3, 4 3, 4, 1, 2 4, 1, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 3, 1, 2 4, 1, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 4 2, 7, 5 7, 3, 1, 2 4, 1, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 4, 1, 2 4, 1, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 1, 2 4, 1, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 5 3, 1, 4 6, 4, 5, 3 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 5 6, 1, 4 7, 4, 5, 3 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 5 6, 7, 4 7, 4, 5, 3 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 1, 5, 3 4, 3, 6, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 1, 5, 3 4, 3, 6, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 4, 5, 3 4, 3, 6, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 5, 3 4, 3, 6, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 4, 1, 3 4, 3, 6, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 1, 3 4, 3, 6, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 3 3, 7, 4 7, 4, 1, 5 4, 5, 6, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 5 6, 1, 4 3, 4, 5, 6 4, 7, 1, 2, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 5 6, 3, 4 3, 4, 5, 6 4, 7, 1, 2, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 5 3, 1, 4 6, 4, 5, 3 4, 7, 1, 2, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 5 2, 1, 4 6, 3, 5, 2 4, 7, 1, 3, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 5 2, 1, 4 6, 4, 5, 2 4, 7, 1, 3, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 3, 4 3, 1, 5, 2 4, 7, 6, 1, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 3, 4 3, 4, 5, 2 4, 7, 6, 1, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 3 2, 5, 4 3, 4, 1, 5 4, 7, 6, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 3, 4 3, 4, 1, 2 4, 7, 6, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 7, 6 6, 3, 1, 2 7, 1, 4, 5, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 1, 6 6, 4, 7, 3 7, 3, 1, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 5 3, 1, 6 6, 4, 7, 3 7, 3, 1, 5, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 7, 6 6, 1, 5, 3 7, 3, 4, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 5 3, 7, 6 6, 1, 5, 3 7, 3, 4, 1, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 1, 6 6, 3, 7, 5 7, 5, 1, 2, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 6, 1, 5 3, 4, 7, 6 7, 5, 1, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 1, 6 6, 3, 7, 5 7, 5, 1, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 1, 6 6, 4, 7, 5 7, 5, 1, 3, 2 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 6, 1, 5 3, 4, 7, 2 7, 5, 1, 3, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 1, 5 6, 3, 7, 2 7, 5, 1, 3, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 1, 5 6, 4, 7, 2 7, 5, 1, 3, 6 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 3, 5 3, 1, 7, 2 7, 5, 6, 1, 3 5, 6, 2, 7, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 5 6, 7, 1 7, 1, 5, 2 2, 3, 4, 1, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 7, 5 6, 3, 1 3, 1, 5, 2 2, 7, 4, 1, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 5, 1 4, 1, 6, 3, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 3, 1, 4 6, 4, 5, 1 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 3, 5 6, 1, 4 7, 4, 5, 1 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 3, 5 6, 7, 4 7, 4, 5, 1 4, 3, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 3, 5 2, 7, 4 7, 4, 1, 2 4, 3, 6, 5, 1 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 2, 5 3, 7, 4 7, 4, 1, 2 4, 3, 6, 5, 1 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 2, 1 3, 7, 4 7, 4, 1, 5 4, 5, 6, 3, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 6, 1, 4 3, 4, 5, 1 4, 7, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 6, 3, 4 3, 4, 5, 1 4, 7, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 3, 1, 4 6, 4, 5, 1 4, 7, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 1, 4 3, 4, 5, 1 4, 7, 1, 3, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 6, 1, 4 3, 4, 5, 1 4, 7, 1, 3, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 5 3, 1, 4 6, 4, 5, 1 4, 7, 1, 3, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 1, 4 3, 4, 5, 2 4, 7, 6, 3, 1 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 7, 1 2, 5, 4 3, 4, 1, 5 4, 7, 6, 3, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 1, 4 3, 4, 5, 1 4, 7, 6, 3, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 7, 5 2, 3, 4 3, 4, 1, 2 4, 7, 6, 5, 1 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 1, 6 6, 4, 7, 1 7, 3, 1, 5, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 2, 5 3, 1, 6 6, 4, 7, 1 7, 3, 1, 5, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 7, 1 6, 1, 5, 2 7, 3, 4, 1, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 2, 5 3, 7, 1 6, 1, 5, 2 7, 3, 4, 1, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 1, 5 6, 3, 7, 1 7, 5, 1, 2, 6 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 3, 1 3, 1, 7, 5 7, 5, 6, 1, 2 5, 6, 2, 7, 4, 3 1, 2, 3, 4, 5, 6, 7 4 7, 5 6, 4, 1 3, 7, 5, 2 2, 1, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 5 3, 4, 1 6, 7, 5, 2 2, 1, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 5 7, 4, 1 6, 3, 5, 2 2, 1, 4, 7, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 7, 5 4, 3, 1 3, 7, 4, 2 2, 1, 6, 5, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 4, 5 7, 3, 1 3, 4, 5, 2 2, 1, 6, 7, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 5 3, 4, 6 6, 7, 1, 2 2, 3, 4, 5, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 3, 4, 5 6, 7, 1, 2 2, 3, 4, 5, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 6, 4, 5 3, 7, 1, 2 2, 5, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 6, 4, 2 3, 7, 1, 5 2, 5, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 3, 4, 5 6, 7, 1, 2 2, 5, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 3, 4, 2 6, 7, 1, 5 2, 5, 4, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 1 7, 4, 5 6, 3, 1, 2 2, 5, 4, 7, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 1 7, 4, 2 6, 3, 1, 5 2, 5, 4, 7, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 7, 4 4, 1, 5 3, 7, 4, 2 2, 5, 6, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 7, 4 4, 1, 2 3, 7, 4, 5 2, 5, 6, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 4, 1 7, 3, 5 3, 4, 1, 2 2, 5, 6, 7, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 4, 1 7, 3, 2 3, 4, 1, 5 2, 5, 6, 7, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 7, 4 6, 5, 1 3, 7, 4, 5 4, 1, 2, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 7, 4 3, 5, 1 6, 7, 4, 5 4, 1, 2, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 3, 4 7, 5, 1 6, 3, 4, 5 4, 1, 2, 7, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 3, 1 7, 5, 4 6, 4, 1, 5 4, 3, 2, 7, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 7, 4 6, 1, 5 3, 7, 4, 6 4, 5, 2, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 7, 4 3, 1, 6 6, 7, 4, 5 4, 5, 2, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 3, 4 7, 1, 6 6, 3, 4, 5 4, 5, 2, 7, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 7, 4 3, 1, 2 2, 7, 4, 5 4, 5, 6, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 7, 4 2, 1, 5 3, 7, 4, 2 4, 5, 6, 3, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 3, 4 7, 1, 2 2, 3, 4, 5 4, 5, 6, 7, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 4, 5 6, 7, 1 3, 4, 5, 6 7, 1, 2, 3, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 4, 5 2, 7, 1 3, 4, 5, 2 7, 1, 6, 3, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 5 6, 4, 2 2, 7, 1, 6 7, 3, 4, 5, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 4, 6 6, 7, 1, 2 7, 3, 4, 5, 1 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 4 3, 1 2, 4, 5 6, 7, 1, 2 7, 3, 4, 5, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 4, 1 6, 7, 5 3, 4, 1, 6 7, 5, 2, 3, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 4, 1 3, 7, 6 6, 4, 1, 5 7, 5, 2, 3, 4 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 4, 1 6, 7, 4 3, 4, 1, 5 7, 5, 2, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 2 4, 1 3, 7, 4 6, 4, 1, 5 7, 5, 2, 3, 6 5, 6, 7, 1, 2, 3 1, 2, 3, 4, 5, 6, 7 6 4, 1 3, 7, 2 2, 4, 1, 5 7, 5, 6, 3, 4 5, 6, 7, 1, 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4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 3, 6, 1, 5 5, 1, 4, 7, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 6 7, 6, 1, 5 5, 1, 4, 7, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 6 7, 5, 2 2, 3, 1, 5 5, 1, 4, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 2 3, 6, 1, 5 5, 1, 4, 7, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 2 7, 6, 1, 5 5, 1, 4, 7, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 6 7, 5, 2 2, 3, 1, 5 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 3, 6 7, 5, 2 2, 4, 1, 5 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 3, 2 3, 4, 1, 5 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 6 7, 5, 2 3, 4, 1, 5 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 5 7, 3, 2 3, 4, 1, 6 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 6 3, 5, 2 7, 4, 1, 5 5, 1, 6, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 4 4, 5, 6 2, 3, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 7, 3 3, 5, 6 2, 4, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 7, 3 3, 5, 6 2, 6, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 4 4, 5, 6 2, 6, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 6 7, 3, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 6 7, 4, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 6 7, 6, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 6 7, 6, 1, 5 5, 1, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 4 4, 5, 2 2, 3, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 7, 3 3, 5, 2 2, 4, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 7, 3 3, 5, 2 2, 6, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 4 4, 5, 2 2, 6, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 2 7, 3, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 2 7, 4, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 2 7, 6, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 2 7, 6, 1, 5 5, 1, 7, 3, 6 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 1, 6 3, 4, 7, 5 5, 6, 1, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 3, 4, 7, 5 5, 6, 1, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 1, 6 7, 3, 2, 5 5, 6, 1, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 5, 6 7, 3, 2, 5 5, 6, 1, 7, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 3, 1, 7, 5 5, 6, 4, 1, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 5 7, 3, 2 3, 1, 7, 6 5, 6, 4, 1, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 7, 5, 6 3, 1, 7, 5 5, 6, 4, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 4 4, 3, 6 3, 1, 2, 5 5, 6, 7, 1, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 7, 4 4, 5, 6 3, 1, 2, 5 5, 6, 7, 1, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 5, 6 7, 1, 2, 5 5, 6, 7, 1, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 2 3, 4 4, 5, 6 7, 3, 2, 5 5, 6, 7, 1, 3 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 7, 4 4, 5, 6 2, 3, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 7, 3 3, 5, 6 2, 4, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 6 7, 3, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 4 2, 3 3, 5, 6 7, 4, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 1 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 5, 4 3, 4, 7, 1 4, 1, 6, 3, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 2, 6 7, 3, 4 3, 4, 7, 1 4, 1, 6, 5, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 6 7, 1, 4 2, 4, 7, 1 4, 3, 1, 5, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 4 7, 1, 6 2, 6, 7, 1 4, 3, 1, 5, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 4 7, 1, 2 2, 6, 7, 1 4, 3, 1, 5, 6 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 4 7, 5, 1 2, 1, 7, 6 4, 3, 6, 1, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 1 7, 5, 4 2, 4, 7, 6 4, 3, 6, 1, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 6 7, 1, 4 2, 4, 7, 1 4, 3, 6, 5, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 2 5, 6 3, 1, 4 7, 4, 2, 5 4, 3, 6, 7, 1 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 5 3, 1 7, 5, 4 2, 4, 1, 6 4, 3, 6, 7, 2 6, 7, 5, 2, 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4, 3 1, 2, 3, 4, 5, 6, 7 2 7, 4 4, 5, 6 3, 1, 2, 5 5, 6, 7, 3, 1 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 4 7, 1 3, 5, 6 2, 4, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 4 2, 1 3, 5, 6 7, 4, 1, 5 5, 6, 7, 3, 2 6, 7, 5, 2, 4, 3 1, 2, 3, 4, 5, 6, 7 4 5, 3 7, 4, 1 3, 6, 2, 5 2, 1, 4, 7, 6 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 4 3, 4, 2, 1 2, 1, 6, 5, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 4 3, 4, 7, 1 2, 1, 6, 5, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 3, 4 3, 4, 2, 1 2, 1, 6, 7, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 6 7, 5, 4 3, 4, 2, 1 2, 1, 6, 7, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 4 5, 6 7, 3, 1 3, 4, 2, 5 2, 1, 6, 7, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 3 7, 5, 1 3, 4, 2, 6 2, 1, 6, 7, 4 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 7, 4 4, 3, 6 3, 6, 2, 1 2, 1, 7, 5, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 7, 4 4, 3, 6 3, 6, 4, 1 2, 1, 7, 5, 3 6, 7, 5, 3, 1, 2 1, 2, 3, 4, 5, 6, 7 5 4, 1 7, 3, 4 3, 4, 2, 6 2, 6, 1, 5, 3 6, 7, 5, 3, 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4, 2 1, 2, 3, 4, 5, 6, 7 5 3, 4 6, 5, 1 2, 1, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 3, 1 6, 5, 4 2, 4, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 4 6, 3, 1 3, 1, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 4 6, 5, 1 3, 1, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 1 6, 3, 4 3, 4, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 1 6, 5, 4 3, 4, 7, 6 4, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 5, 4 6, 3, 1 2, 1, 7, 5 4, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 5, 1 6, 3, 4 2, 4, 7, 5 4, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 3 6, 1, 4 3, 4, 7, 6 4, 7, 2, 5, 1 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 4 6, 3, 1 3, 1, 7, 6 4, 7, 2, 5, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 1 6, 3, 4 3, 4, 1, 6 4, 7, 2, 5, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 1 6, 3, 4 3, 4, 7, 6 4, 7, 2, 5, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 5 2, 3 6, 1, 4 3, 4, 7, 1 4, 7, 2, 5, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 4 2, 3, 1 3, 1, 2, 5 4, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 4 2, 3, 1 3, 1, 7, 5 4, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 1 2, 3, 4 3, 4, 2, 5 4, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 1 2, 3, 4 3, 4, 7, 5 4, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 3 2, 1, 4 3, 4, 7, 5 4, 7, 6, 2, 1 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 4 2, 3, 1 3, 1, 7, 5 4, 7, 6, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 1 2, 3, 4 3, 4, 1, 5 4, 7, 6, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 5, 1 2, 3, 4 3, 4, 7, 5 4, 7, 6, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 1 6, 1, 7, 5 5, 3, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 6 6, 7, 1, 5 5, 3, 2, 7, 1 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 3, 5 2, 1, 6 6, 4, 7, 1 5, 7, 1, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 3, 1 2, 5, 6 6, 4, 7, 5 5, 7, 1, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 3, 4 4, 5, 1 2, 1, 7, 5 5, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 3, 1 3, 1, 7, 5 5, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 5, 1 3, 1, 7, 5 5, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 5 6, 3, 1 3, 1, 7, 6 5, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 5 6, 3, 1 3, 4, 7, 6 5, 7, 2, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 6, 5, 1 3, 1, 7, 5 5, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 6, 5, 1 3, 4, 7, 5 5, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 3, 1 6, 1, 7, 5 5, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 3 2, 4 4, 5, 1 6, 1, 7, 5 5, 7, 2, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 5 6, 3, 1 3, 1, 7, 6 5, 7, 4, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 4 2, 3 6, 5, 1 3, 1, 7, 5 5, 7, 4, 1, 6 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 3, 4 4, 5, 1 2, 1, 7, 5 5, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 3, 1 3, 1, 7, 5 5, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 2, 4 4, 5, 1 3, 1, 7, 5 5, 7, 6, 1, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 6 3, 4 4, 5, 1 2, 1, 7, 5 5, 7, 6, 2, 3 7, 6, 5, 3, 4, 2 1, 2, 3, 4, 5, 6, 7 ---------------------------- This took, 167030.998, seconds .