Supplementary

Maximally inflected septics

TableauWebPromotion orderCrossing numberDihedral orbits

1 2 3 10 12 
4 5 6 11 14 
7 8 9 13 15 
154

[[1, 3, 7, 8, 9], [2, 5, 10, 11, 12], [4, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 4, 9, 10], [3, 6, 8, 12, 13], [5, 7, 11, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 5, 11], [4, 7, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 8, 11], [10, 12, 13, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 9, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 8, 10, 13], [6, 7, 12, 14, 15]]

1 2 3 10 12 
4 5 7 11 14 
6 8 9 13 15 
153

[[1, 3, 7, 8, 10], [2, 5, 9, 11, 12], [4, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 4, 9, 11], [3, 6, 8, 12, 13], [5, 7, 10, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 7, 8, 9], [2, 5, 10, 11, 13], [4, 6, 12, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 6, 8, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 9, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 8, 10, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 4, 10, 12], [3, 5, 6, 11, 14], [7, 8, 9, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 6, 9, 11], [3, 4, 8, 10, 13], [5, 7, 12, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 10, 11], [5, 12, 13, 14, 15]]

1 2 3 10 12 
4 5 8 11 14 
6 7 9 13 15 
152

[[1, 3, 7, 9, 10], [2, 5, 8, 11, 12], [4, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 4, 10, 11], [3, 6, 8, 12, 13], [5, 7, 9, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 9, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 7, 8, 9], [2, 5, 10, 11, 14], [4, 6, 12, 13, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 9, 10], [3, 6, 8, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 7, 8, 10], [3, 4, 9, 12, 14], [5, 6, 11, 13, 15]]
[[1, 3, 5, 10, 11], [2, 4, 7, 12, 13], [6, 8, 9, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 8, 10, 13], [6, 7, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 3, 4, 10, 12], [2, 5, 6, 11, 14], [7, 8, 9, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 7, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 7, 9, 11], [3, 4, 8, 10, 13], [5, 6, 12, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 10, 11], [5, 12, 13, 14, 15]]

1 2 3 10 13 
4 5 6 11 14 
7 8 9 12 15 
153

[[1, 4, 7, 8, 9], [2, 5, 10, 11, 12], [3, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 8, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 6, 13], [2, 7, 8, 9, 14], [3, 10, 11, 12, 15]]
[[1, 2, 3, 4, 7], [5, 8, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 5, 9, 12], [3, 4, 8, 10, 13], [6, 7, 11, 14, 15]]

1 2 3 10 13 
4 5 7 11 14 
6 8 9 12 15 
152

[[1, 4, 7, 8, 10], [2, 5, 9, 11, 12], [3, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 8, 12, 13], [4, 7, 10, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 4, 5, 6, 13], [2, 7, 8, 10, 14], [3, 9, 11, 12, 15]]
[[1, 2, 3, 4, 7], [5, 8, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 4, 7, 8, 9], [2, 5, 10, 11, 13], [3, 6, 12, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 8, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 8, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 4, 10, 13], [3, 5, 6, 11, 14], [7, 8, 9, 12, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 8, 11], [9, 12, 13, 14, 15]]
[[1, 4, 5, 7, 13], [2, 6, 8, 9, 14], [3, 10, 11, 12, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 6, 9, 12], [3, 4, 8, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 10, 11], [5, 12, 13, 14, 15]]

1 2 3 10 13 
4 5 8 11 14 
6 7 9 12 15 
151

[[1, 4, 7, 9, 10], [2, 5, 8, 11, 12], [3, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 10, 11], [3, 6, 8, 12, 13], [4, 7, 9, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 4, 5, 6, 13], [2, 7, 8, 11, 14], [3, 9, 10, 12, 15]]
[[1, 2, 3, 4, 7], [5, 8, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 4, 7, 8, 9], [2, 5, 10, 11, 14], [3, 6, 12, 13, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 9, 10], [3, 6, 8, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 7, 8, 11], [3, 4, 9, 12, 14], [5, 6, 10, 13, 15]]
[[1, 3, 6, 10, 11], [2, 4, 7, 12, 13], [5, 8, 9, 14, 15]]
[[1, 2, 3, 9, 12], [4, 5, 8, 10, 13], [6, 7, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 3, 4, 10, 13], [2, 5, 6, 11, 14], [7, 8, 9, 12, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 8, 11], [9, 12, 13, 14, 15]]
[[1, 4, 6, 7, 13], [2, 5, 8, 9, 14], [3, 10, 11, 12, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 7, 9, 12], [3, 4, 8, 10, 13], [5, 6, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 10, 11], [5, 12, 13, 14, 15]]

1 2 3 10 13 
4 6 7 11 14 
5 8 9 12 15 
151

[[1, 4, 7, 8, 11], [2, 5, 9, 10, 12], [3, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 8, 11, 13], [4, 7, 10, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 6, 13], [4, 7, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 4, 5, 6, 13], [2, 7, 9, 10, 14], [3, 8, 11, 12, 15]]
[[1, 2, 3, 4, 7], [5, 8, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 5, 6, 7], [3, 8, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 4, 5, 6, 9], [2, 7, 10, 12, 13], [3, 8, 11, 14, 15]]
[[1, 4, 7, 8, 9], [2, 5, 10, 12, 13], [3, 6, 11, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 8, 11, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 5, 8, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 5, 10, 13], [3, 4, 6, 11, 14], [7, 8, 9, 12, 15]]
[[1, 2, 5, 8, 13], [3, 4, 6, 9, 14], [7, 10, 11, 12, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 8, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 8, 11], [9, 12, 13, 14, 15]]
[[1, 4, 5, 8, 13], [2, 6, 7, 9, 14], [3, 10, 11, 12, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 9, 12], [3, 10, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 6, 9, 12], [3, 5, 8, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 9, 11], [5, 12, 13, 14, 15]]

1 2 3 10 13 
4 6 8 11 14 
5 7 9 12 15 
150

[[1, 4, 7, 9, 11], [2, 5, 8, 10, 12], [3, 6, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 10, 12], [3, 6, 8, 11, 13], [4, 7, 9, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 6, 13], [4, 7, 9, 11, 14], [5, 8, 10, 12, 15]]
[[1, 4, 5, 6, 13], [2, 7, 9, 11, 14], [3, 8, 10, 12, 15]]
[[1, 2, 3, 4, 7], [5, 8, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 8, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 4, 5, 6, 9], [2, 7, 10, 12, 14], [3, 8, 11, 13, 15]]
[[1, 4, 7, 8, 9], [2, 5, 10, 12, 14], [3, 6, 11, 13, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 9, 10], [3, 6, 8, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 7, 8, 11], [2, 4, 9, 12, 14], [5, 6, 10, 13, 15]]
[[1, 3, 6, 10, 11], [2, 4, 7, 12, 14], [5, 8, 9, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 8, 10, 13], [6, 7, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 3, 5, 10, 13], [2, 4, 6, 11, 14], [7, 8, 9, 12, 15]]
[[1, 3, 5, 8, 13], [2, 4, 6, 9, 14], [7, 10, 11, 12, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 8, 13], [9, 10, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 8, 11], [9, 12, 13, 14, 15]]
[[1, 4, 6, 8, 13], [2, 5, 7, 9, 14], [3, 10, 11, 12, 15]]
[[1, 4, 6, 8, 11], [2, 5, 7, 9, 12], [3, 10, 13, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 7, 9, 12], [3, 5, 8, 10, 13], [4, 6, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 9, 11], [5, 12, 13, 14, 15]]

1 2 3 4 12 
5 6 7 11 14 
8 9 10 13 15 
154

[[1, 3, 6, 7, 8], [2, 5, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 7, 8, 9], [3, 4, 10, 11, 12], [5, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 9, 10], [4, 5, 8, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 9, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 8, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 10, 11], [4, 5, 6, 12, 13], [7, 8, 9, 14, 15]]

1 2 3 4 12 
5 6 8 11 14 
7 9 10 13 15 
153

[[1, 3, 6, 7, 9], [2, 5, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 7, 8, 10], [3, 4, 9, 11, 12], [5, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 9, 11], [4, 5, 8, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 7, 8, 9], [3, 4, 10, 11, 13], [5, 6, 12, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 9, 10], [4, 5, 8, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 8, 11, 12], [6, 7, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 4, 10, 11], [3, 5, 6, 12, 13], [7, 8, 9, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 8, 11, 12], [5, 7, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 11], [4, 5, 7, 12, 13], [6, 8, 9, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 12 
5 6 9 11 14 
7 8 10 13 15 
152

[[1, 3, 6, 8, 9], [2, 5, 7, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 7, 9, 10], [3, 4, 8, 11, 12], [5, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 10, 11], [4, 5, 8, 12, 13], [6, 7, 9, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 7, 8, 9], [3, 4, 10, 11, 14], [5, 6, 12, 13, 15]]
[[1, 2, 3, 9, 10], [4, 5, 8, 11, 12], [6, 7, 13, 14, 15]]
[[1, 3, 4, 10, 11], [2, 5, 6, 12, 13], [7, 8, 9, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 7 10 14 
8 9 11 12 15 
154

[[1, 4, 5, 7, 8], [2, 6, 9, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 6, 8, 9], [3, 5, 10, 11, 12], [4, 7, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 7, 12, 13], [5, 8, 11, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 9, 10], [2, 5, 8, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 8, 11, 14], [6, 7, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 2, 4, 5, 13], [3, 6, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 5, 8, 11], [3, 4, 9, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 9, 12], [4, 5, 6, 11, 13], [7, 8, 10, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 7 11 14 
8 9 10 12 15 
153

[[1, 4, 6, 7, 8], [2, 5, 9, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 7, 8, 9], [3, 5, 10, 11, 12], [4, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 8, 12, 13], [5, 7, 11, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 7, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 7, 8, 9], [2, 4, 10, 11, 12], [5, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 8, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 8, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 11], [4, 5, 6, 12, 14], [7, 8, 9, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 9, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 13], [2, 6, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 5, 9, 11], [3, 4, 8, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 12], [4, 5, 6, 11, 13], [7, 8, 9, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 7 8 14 
9 10 11 12 15 
156

[[1, 4, 5, 6, 7], [2, 8, 9, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 11, 13], [8, 9, 10, 14, 15]]

1 2 3 4 13 
5 6 7 9 14 
8 10 11 12 15 
155

[[1, 4, 5, 6, 8], [2, 7, 9, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 6, 7, 9], [3, 5, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 12, 13], [5, 9, 11, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 5, 6], [2, 7, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 3, 4, 5, 11], [2, 6, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 10, 14], [5, 11, 12, 13, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 2, 3, 5, 13], [4, 6, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 5, 7, 11], [3, 4, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 6, 11, 13], [7, 9, 10, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 8 10 14 
7 9 11 12 15 
153

[[1, 4, 5, 7, 9], [2, 6, 8, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 9, 11, 12], [4, 7, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 7, 12, 13], [5, 8, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 8, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 8, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 2, 4, 6, 13], [3, 5, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 6, 8, 11], [3, 4, 9, 10, 12], [5, 7, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 9, 12], [4, 5, 7, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 8 11 14 
7 9 10 12 15 
152

[[1, 4, 6, 7, 9], [2, 5, 8, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 7, 8, 10], [3, 5, 9, 11, 12], [4, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 8, 12, 13], [5, 7, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 11, 14], [3, 10, 12, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 7, 8, 9], [2, 4, 10, 11, 13], [5, 6, 12, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 8, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 8, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 4, 10, 11], [3, 5, 6, 12, 14], [7, 8, 9, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 4, 6, 13], [2, 5, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 6, 9, 11], [3, 4, 8, 10, 12], [5, 7, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 12], [4, 5, 7, 11, 13], [6, 8, 9, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 8 9 14 
7 10 11 12 15 
154

[[1, 4, 5, 6, 9], [2, 7, 8, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 5, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 12, 13], [5, 9, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 5, 6], [2, 7, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 6, 13], [4, 5, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 6, 7, 11], [3, 4, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 7, 11, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 9 10 14 
7 8 11 12 15 
152

[[1, 4, 5, 8, 9], [2, 6, 7, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 9, 10], [3, 5, 8, 11, 12], [4, 7, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 10, 11], [4, 6, 7, 12, 13], [5, 8, 9, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 8, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 5, 10, 11], [3, 4, 6, 12, 13], [7, 8, 9, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 7, 8, 9], [3, 4, 10, 12, 13], [5, 6, 11, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 8, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 8, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 2, 5, 6, 13], [3, 4, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 7, 8, 11], [3, 4, 9, 10, 12], [5, 6, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 9, 12], [4, 5, 8, 11, 13], [6, 7, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 6 9 11 14 
7 8 10 12 15 
151

[[1, 4, 6, 8, 9], [2, 5, 7, 10, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 9, 10], [3, 5, 8, 11, 12], [4, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 10, 11], [4, 6, 8, 12, 13], [5, 7, 9, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 9, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 9, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 7, 8, 9], [2, 4, 10, 11, 14], [5, 6, 12, 13, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 8, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 10, 11], [2, 4, 6, 12, 13], [7, 8, 9, 14, 15]]
[[1, 3, 6, 7, 8], [2, 5, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 11, 14], [8, 9, 10, 13, 15]]
[[1, 2, 7, 8, 9], [3, 4, 10, 12, 14], [5, 6, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 8, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 10, 11], [2, 5, 6, 12, 14], [7, 8, 9, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 7, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 13], [2, 4, 7, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 7, 9, 11], [3, 4, 8, 10, 12], [5, 6, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 12], [4, 5, 8, 11, 13], [6, 7, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 9, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 7 8 10 14 
6 9 11 12 15 
152

[[1, 4, 5, 7, 10], [2, 6, 8, 9, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 9, 10, 12], [4, 7, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 7, 11, 13], [5, 8, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 10, 11, 13], [3, 9, 12, 14, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 4, 9, 10], [2, 5, 8, 11, 14], [6, 7, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 2, 4, 7, 13], [3, 5, 6, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 8, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 7 8 11 14 
6 9 10 12 15 
151

[[1, 4, 6, 7, 10], [2, 5, 8, 9, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 7, 8, 11], [3, 5, 9, 10, 12], [4, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 8, 11, 13], [5, 7, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 10, 11, 14], [3, 9, 12, 13, 15]]
[[1, 2, 3, 4, 13], [5, 7, 9, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 8, 9], [2, 4, 10, 12, 13], [5, 6, 11, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 8, 11, 14], [6, 7, 12, 13, 15]]
[[1, 4, 5, 6, 7], [2, 8, 10, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 7, 13], [3, 4, 6, 8, 14], [9, 10, 11, 12, 15]]
[[1, 3, 4, 9, 10], [2, 5, 8, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 5, 10, 11], [3, 4, 6, 12, 14], [7, 8, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 8, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 7, 9, 11], [3, 12, 13, 14, 15]]
[[1, 3, 4, 7, 13], [2, 5, 6, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 6, 9, 11], [3, 5, 8, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 10, 12], [4, 6, 7, 11, 13], [5, 8, 9, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 8, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 7 8 9 14 
6 10 11 12 15 
153

[[1, 4, 5, 6, 10], [2, 7, 8, 9, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 11, 13], [5, 9, 10, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 10, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 7, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 9, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 7, 13], [4, 5, 6, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 8, 10], [11, 12, 13, 14, 15]]

1 2 3 4 13 
5 7 9 11 14 
6 8 10 12 15 
150

[[1, 4, 6, 8, 10], [2, 5, 7, 9, 11], [3, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 8, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 7, 9, 11], [3, 5, 8, 10, 12], [4, 6, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 7, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 10, 12], [4, 6, 8, 11, 13], [5, 7, 9, 14, 15]]
[[1, 4, 5, 6, 7], [2, 8, 10, 12, 14], [3, 9, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 5, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 3, 7, 8, 9], [2, 4, 10, 12, 14], [5, 6, 11, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 8, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 5, 10, 11], [2, 4, 6, 12, 14], [7, 8, 9, 13, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 11, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 7, 13], [2, 4, 6, 8, 14], [9, 10, 11, 12, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 9, 14], [10, 11, 12, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 8, 10], [11, 12, 13, 14, 15]]

1 2 3 4 9 
5 6 7 8 14 
10 11 12 13 15 
510

[[1, 3, 4, 5, 6], [2, 8, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 12, 13], [9, 10, 11, 14, 15]]

1 2 3 5 13 
4 6 7 10 14 
8 9 11 12 15 
153

[[1, 4, 5, 7, 8], [2, 6, 9, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 6, 8, 9], [3, 5, 10, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 7, 12, 14], [5, 8, 11, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 6, 9, 11, 14], [7, 8, 10, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 9, 11], [2, 5, 8, 12, 13], [6, 7, 10, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 6, 9, 10], [3, 4, 8, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 6, 8, 9], [2, 5, 7, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 2, 4, 5, 13], [3, 6, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 5, 8, 11], [2, 4, 9, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 6, 11, 13], [7, 8, 10, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 9, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 6 7 11 14 
8 9 10 12 15 
152

[[1, 4, 6, 7, 8], [2, 5, 9, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 7, 8, 9], [3, 5, 10, 11, 13], [4, 6, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 8, 12, 14], [5, 7, 11, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 7, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 3, 7, 8, 10], [2, 4, 9, 11, 12], [5, 6, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 8, 12, 13], [6, 7, 10, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 6, 9, 10], [3, 4, 8, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 10, 11], [4, 5, 7, 12, 14], [6, 8, 9, 13, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 9, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 13], [2, 6, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 5, 9, 11], [2, 4, 8, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 10, 12], [3, 5, 6, 11, 13], [7, 8, 9, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 9, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 6 7 9 14 
8 10 11 12 15 
154

[[1, 4, 5, 6, 8], [2, 7, 9, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 6, 7, 9], [3, 5, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 8, 12], [3, 5, 6, 11, 13], [7, 9, 10, 14, 15]]

1 2 3 5 13 
4 6 9 11 14 
7 8 10 12 15 
150

[[1, 4, 6, 8, 9], [2, 5, 7, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 9, 10], [3, 5, 8, 11, 13], [4, 6, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 10, 11], [4, 6, 8, 12, 14], [5, 7, 9, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 5, 13], [2, 6, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 3, 7, 8, 10], [2, 4, 9, 11, 14], [5, 6, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 8, 10, 12], [6, 7, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 10, 12], [2, 4, 6, 11, 13], [7, 8, 9, 14, 15]]
[[1, 4, 6, 7, 8], [2, 5, 9, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 4, 6, 13], [3, 5, 7, 11, 14], [8, 9, 10, 12, 15]]
[[1, 2, 7, 8, 9], [3, 5, 10, 12, 14], [4, 6, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 9, 10], [4, 6, 8, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 10, 11], [2, 5, 7, 12, 14], [6, 8, 9, 13, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 13], [2, 4, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 7, 9, 11], [2, 4, 8, 10, 12], [5, 6, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 10, 12], [3, 5, 8, 11, 13], [6, 7, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 9, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 7 8 10 14 
6 9 11 12 15 
153

[[1, 4, 5, 7, 10], [2, 6, 8, 9, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 9, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 7, 11, 14], [5, 8, 10, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 10, 11, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 9, 11], [2, 5, 8, 10, 14], [6, 7, 12, 13, 15]]
[[1, 3, 5, 6, 7], [2, 8, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 8, 14], [9, 10, 11, 13, 15]]
[[1, 3, 4, 9, 10], [2, 6, 8, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 7, 13], [3, 5, 6, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 6, 8, 11], [2, 5, 9, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 7, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 8, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 7 8 11 14 
6 9 10 12 15 
152

[[1, 4, 6, 7, 10], [2, 5, 8, 9, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 7, 8, 11], [3, 5, 9, 10, 13], [4, 6, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 8, 11, 14], [5, 7, 10, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 10, 11, 14], [3, 9, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 7, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 8, 10], [2, 4, 9, 12, 13], [5, 6, 11, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 8, 10, 14], [6, 7, 12, 13, 15]]
[[1, 3, 5, 6, 7], [2, 8, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 8, 14], [9, 10, 11, 13, 15]]
[[1, 3, 4, 9, 10], [2, 6, 8, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 5, 10, 11], [3, 4, 7, 12, 14], [6, 8, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 9, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 7, 13], [2, 5, 6, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 6, 9, 11], [2, 5, 8, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 10, 12], [3, 6, 7, 11, 13], [5, 8, 9, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 8, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 7 8 9 14 
6 10 11 12 15 
154

[[1, 4, 5, 6, 10], [2, 7, 8, 9, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 11, 14], [5, 9, 10, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 10, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 7, 13], [4, 5, 6, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 6, 7, 11], [2, 5, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 8, 12], [3, 6, 7, 11, 13], [5, 9, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 8, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 7 9 10 14 
6 8 11 12 15 
152

[[1, 4, 5, 8, 10], [2, 6, 7, 9, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 8, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 3, 10, 12], [4, 6, 7, 11, 14], [5, 8, 9, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 10, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 9, 12], [5, 11, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 9, 11], [2, 5, 8, 10, 13], [6, 7, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 5, 10, 12], [3, 4, 6, 11, 14], [7, 8, 9, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 7, 8, 9], [2, 5, 10, 12, 13], [4, 6, 11, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 9, 10], [3, 6, 8, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 7, 13], [3, 4, 6, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 7, 8, 11], [2, 5, 9, 10, 12], [4, 6, 13, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 8, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 8, 11], [10, 12, 13, 14, 15]]

1 2 3 5 13 
4 7 9 11 14 
6 8 10 12 15 
151

[[1, 4, 6, 8, 10], [2, 5, 7, 9, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 7, 9, 11], [3, 5, 8, 10, 13], [4, 6, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 10, 12], [4, 6, 8, 11, 14], [5, 7, 9, 13, 15]]
[[1, 4, 5, 6, 8], [2, 7, 10, 12, 14], [3, 9, 11, 13, 15]]
[[1, 2, 3, 4, 11], [5, 7, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 7, 8, 10], [2, 4, 9, 12, 14], [5, 6, 11, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 8, 10, 13], [6, 7, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 10, 12], [2, 4, 6, 11, 14], [7, 8, 9, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 7, 8, 9], [2, 5, 10, 12, 14], [4, 6, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 9, 10], [3, 6, 8, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 5, 10, 11], [2, 4, 7, 12, 14], [6, 8, 9, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 9, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 7, 13], [2, 4, 6, 9, 14], [8, 10, 11, 12, 15]]
[[1, 3, 7, 9, 11], [2, 5, 8, 10, 12], [4, 6, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 10, 12], [3, 6, 8, 11, 13], [5, 7, 9, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 8, 11], [10, 12, 13, 14, 15]]

1 2 3 6 11 
4 5 9 10 14 
7 8 12 13 15 
156

[[1, 3, 4, 8, 9], [2, 6, 7, 11, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 8, 12, 13], [6, 7, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 10, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 6, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 12 
4 5 9 11 14 
7 8 10 13 15 
154

[[1, 3, 6, 8, 9], [2, 5, 7, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 7, 9, 10], [3, 4, 8, 12, 13], [5, 6, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 9, 10, 14], [6, 7, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 7, 8, 11], [3, 4, 9, 10, 14], [5, 6, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 10, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 9, 10], [2, 5, 6, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 10, 11, 14], [6, 7, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 6, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 10, 11], [2, 6, 7, 12, 13], [5, 8, 9, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 9, 10], [2, 6, 7, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 10, 11], [3, 4, 8, 12, 13], [6, 7, 9, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 13 
4 5 7 11 14 
8 9 10 12 15 
151

[[1, 4, 6, 7, 8], [2, 5, 9, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 7, 8, 9], [3, 5, 10, 12, 13], [4, 6, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 8, 11, 14], [5, 7, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 7, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 3, 7, 8, 11], [2, 4, 9, 10, 12], [5, 6, 13, 14, 15]]
[[1, 2, 5, 6, 13], [3, 4, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 2, 4, 9, 12], [3, 5, 8, 11, 13], [6, 7, 10, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 13], [4, 6, 9, 10, 14], [7, 8, 11, 12, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 4, 5, 8, 9], [2, 6, 7, 10, 12], [3, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 8, 11, 13], [4, 7, 12, 14, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 10, 11], [4, 6, 7, 12, 14], [5, 8, 9, 13, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 9, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 13], [2, 6, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 9, 11], [2, 5, 8, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 10, 12], [3, 4, 6, 11, 13], [7, 8, 9, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 13 
4 5 8 10 14 
7 9 11 12 15 
153

[[1, 4, 5, 7, 9], [2, 6, 8, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 9, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 7, 10, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 5, 11], [2, 6, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 9, 12], [2, 5, 8, 11, 14], [6, 7, 10, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 6, 9, 10], [2, 5, 8, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 10, 14], [5, 11, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 6, 13], [3, 5, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 6, 9, 10, 12], [5, 7, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 7, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 13 
4 5 8 11 14 
7 9 10 12 15 
152

[[1, 4, 6, 7, 9], [2, 5, 8, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 7, 8, 10], [3, 5, 9, 12, 13], [4, 6, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 8, 10, 14], [5, 7, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 11, 14], [3, 10, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 7, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 7, 8, 11], [2, 4, 9, 10, 13], [5, 6, 12, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 8, 11, 14], [6, 7, 10, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 6, 9, 10], [2, 5, 8, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 4, 10, 11], [3, 6, 7, 12, 14], [5, 8, 9, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 9, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 6, 13], [2, 5, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 9, 11], [2, 6, 8, 10, 12], [5, 7, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 10, 12], [3, 4, 7, 11, 13], [6, 8, 9, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 13 
4 5 8 9 14 
7 10 11 12 15 
154

[[1, 4, 5, 6, 9], [2, 7, 8, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 5, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 7, 11, 13], [6, 9, 10, 14, 15]]

1 2 3 6 13 
4 5 9 10 14 
7 8 11 12 15 
154

[[1, 4, 5, 8, 9], [2, 6, 7, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 9, 10], [3, 5, 8, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 10, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 6, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 10, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 6, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 7, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 5, 6, 13], [3, 4, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 8, 11, 13], [6, 7, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 6 13 
4 5 9 11 14 
7 8 10 12 15 
153

[[1, 4, 6, 8, 9], [2, 5, 7, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 9, 10], [3, 5, 8, 12, 13], [4, 6, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 9, 10, 14], [5, 7, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 7, 8, 11], [2, 4, 9, 10, 14], [5, 6, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 10, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 6, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 10, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 6, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 10, 11], [2, 6, 7, 12, 14], [5, 8, 9, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 6, 13], [2, 4, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 9, 11], [2, 6, 7, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 10, 12], [3, 4, 8, 11, 13], [6, 7, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 10, 11], [9, 12, 13, 14, 15]]

1 2 3 7 11 
4 5 6 10 14 
8 9 12 13 15 
157

[[1, 3, 4, 7, 8], [2, 6, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 12, 13], [6, 10, 11, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 9, 12, 13], [7, 8, 11, 14, 15]]

1 2 3 7 12 
4 5 6 11 14 
8 9 10 13 15 
157

[[1, 3, 6, 7, 8], [2, 5, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 12 
4 5 9 11 14 
6 8 10 13 15 
153

[[1, 3, 6, 8, 10], [2, 5, 7, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 7, 9, 11], [3, 4, 8, 12, 13], [5, 6, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 9, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 8, 12], [3, 4, 9, 10, 14], [5, 6, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 10, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 6, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 10, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 6, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 10, 11], [2, 6, 7, 12, 13], [4, 8, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 7, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 10, 11], [3, 4, 8, 12, 13], [5, 7, 9, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 5 6 10 14 
8 9 11 12 15 
155

[[1, 4, 5, 7, 8], [2, 6, 10, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 9, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 6, 7, 11], [3, 5, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 6, 7, 11, 13], [5, 9, 10, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 5, 13], [3, 7, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 5 6 11 14 
8 9 10 12 15 
156

[[1, 4, 6, 7, 8], [2, 5, 10, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 9, 14], [3, 11, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 5, 13], [2, 7, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 5 8 9 14 
6 10 11 12 15 
153

[[1, 4, 5, 6, 10], [2, 7, 8, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 11, 13], [5, 9, 10, 14, 15]]

1 2 3 7 13 
4 5 9 10 14 
6 8 11 12 15 
153

[[1, 4, 5, 8, 10], [2, 6, 7, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 8, 12, 13], [4, 7, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 10, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 5, 9, 10], [3, 4, 6, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 10, 12, 13], [6, 7, 11, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 6, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 5, 7, 13], [3, 4, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 9, 12], [3, 4, 8, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 5 9 11 14 
6 8 10 12 15 
152

[[1, 4, 6, 8, 10], [2, 5, 7, 11, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 7, 9, 11], [3, 5, 8, 12, 13], [4, 6, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 9, 10, 14], [5, 7, 11, 13, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 12, 14], [3, 9, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 7, 8, 12], [2, 4, 9, 10, 14], [5, 6, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 10, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 6, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 10, 12, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 6, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 10, 11], [2, 6, 7, 12, 14], [4, 8, 9, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 7, 13], [2, 4, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 3, 5, 9, 11], [2, 6, 7, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 10, 12], [3, 4, 8, 11, 13], [5, 7, 9, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 10, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 6 8 11 14 
5 9 10 12 15 
150

[[1, 4, 6, 7, 11], [2, 5, 8, 10, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 7, 8, 12], [3, 5, 9, 11, 13], [4, 6, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 9, 13], [4, 6, 8, 10, 14], [5, 7, 11, 12, 15]]
[[1, 4, 5, 6, 10], [2, 7, 9, 11, 14], [3, 8, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 7, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 3, 7, 8, 12], [2, 4, 9, 11, 13], [5, 6, 10, 14, 15]]
[[1, 4, 5, 6, 12], [2, 7, 9, 11, 13], [3, 8, 10, 14, 15]]
[[1, 2, 4, 9, 13], [3, 5, 8, 10, 14], [6, 7, 11, 12, 15]]
[[1, 2, 6, 7, 13], [3, 5, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 3, 5, 10], [4, 6, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 10, 12], [6, 11, 13, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 11, 13], [3, 9, 10, 14, 15]]
[[1, 4, 5, 9, 10], [2, 6, 8, 11, 13], [3, 7, 12, 14, 15]]
[[1, 2, 6, 8, 13], [3, 5, 7, 9, 14], [4, 10, 11, 12, 15]]
[[1, 2, 6, 10, 11], [3, 5, 7, 12, 14], [4, 8, 9, 13, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 9, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 8, 13], [2, 5, 7, 9, 14], [6, 10, 11, 12, 15]]
[[1, 4, 5, 9, 11], [2, 6, 8, 10, 12], [3, 7, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 10, 12], [3, 5, 7, 11, 13], [4, 8, 9, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 9, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 6 9 10 14 
5 8 11 12 15 
152

[[1, 4, 5, 8, 11], [2, 6, 7, 10, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 6, 9, 12], [3, 5, 8, 11, 13], [4, 7, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 4, 5, 6, 10], [2, 7, 9, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 10, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 6, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 2, 5, 8, 13], [3, 4, 7, 9, 14], [6, 10, 11, 12, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 9, 11], [8, 12, 13, 14, 15]]

1 2 3 7 13 
4 6 9 11 14 
5 8 10 12 15 
151

[[1, 4, 6, 8, 11], [2, 5, 7, 10, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 7, 9, 12], [3, 5, 8, 11, 13], [4, 6, 10, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 8, 13], [4, 6, 9, 10, 14], [5, 7, 11, 12, 15]]
[[1, 4, 5, 6, 10], [2, 7, 9, 12, 14], [3, 8, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 7, 8, 12], [2, 4, 9, 11, 14], [5, 6, 10, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 9, 12, 13], [3, 8, 10, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 10, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 6, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 10, 12, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 6, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 6, 8, 13], [3, 4, 7, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 6, 10, 11], [2, 5, 7, 12, 14], [4, 8, 9, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 8, 13], [2, 4, 7, 9, 14], [6, 10, 11, 12, 15]]
[[1, 4, 5, 9, 11], [2, 6, 7, 10, 12], [3, 8, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 6, 10, 12], [3, 5, 8, 11, 13], [4, 7, 9, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 9, 11], [8, 12, 13, 14, 15]]

1 2 3 7 8 
4 5 6 12 14 
9 10 11 13 15 
159

[[1, 3, 5, 6, 7], [2, 4, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 10, 11, 13], [8, 9, 12, 14, 15]]

1 2 3 7 9 
4 5 6 12 14 
8 10 11 13 15 
158

[[1, 3, 5, 6, 8], [2, 4, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 8 12 
4 5 6 11 14 
7 9 10 13 15 
156

[[1, 3, 6, 7, 9], [2, 5, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 12, 13], [5, 9, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 9, 14], [5, 11, 12, 13, 15]]
[[1, 3, 4, 5, 11], [2, 7, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 7, 11], [3, 4, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 12 
4 5 7 11 14 
6 9 10 13 15 
155

[[1, 3, 6, 7, 10], [2, 5, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 12, 13], [5, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 9, 14], [5, 11, 12, 13, 15]]
[[1, 3, 4, 5, 11], [2, 7, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 4, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 5 6 10 14 
7 9 11 12 15 
154

[[1, 4, 5, 7, 9], [2, 6, 10, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 12, 13], [4, 9, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 9, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 6, 7, 12], [3, 5, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 8, 12], [2, 6, 7, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 6, 7, 11, 13], [4, 9, 10, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 6, 13], [3, 7, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 7, 12], [3, 4, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 5 6 11 14 
7 9 10 12 15 
155

[[1, 4, 6, 7, 9], [2, 5, 10, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 12, 13], [4, 9, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 9, 14], [3, 10, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 8, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 6, 13], [2, 7, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 7, 12], [3, 4, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 5 7 10 14 
6 9 11 12 15 
153

[[1, 4, 5, 7, 10], [2, 6, 9, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 12, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 10, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 6, 7, 12], [3, 5, 9, 11, 14], [4, 8, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 8, 12], [3, 6, 7, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 8, 12], [2, 5, 7, 11, 13], [4, 9, 10, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 7, 13], [3, 6, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 4, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 5 7 11 14 
6 9 10 12 15 
154

[[1, 4, 6, 7, 10], [2, 5, 9, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 12, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 10, 14], [3, 9, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 7, 8], [2, 4, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 12, 14], [8, 9, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 7, 13], [2, 6, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 4, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 5 9 10 14 
6 7 11 12 15 
152

[[1, 4, 5, 9, 10], [2, 6, 7, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 6, 10, 11], [3, 5, 8, 12, 13], [4, 7, 9, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 12, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 10, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 6, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 7, 8, 12], [3, 4, 9, 11, 14], [5, 6, 10, 13, 15]]
[[1, 3, 6, 10, 11], [2, 5, 7, 12, 13], [4, 8, 9, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 10, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 6, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 6, 7, 13], [3, 4, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 7, 9, 12], [3, 4, 8, 11, 13], [5, 6, 10, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 10, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 6 7 10 14 
5 9 11 12 15 
152

[[1, 4, 5, 7, 11], [2, 6, 9, 10, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 11, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 3, 7, 13], [4, 6, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 4, 5, 6, 11], [2, 7, 9, 10, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 4, 5, 6, 10], [2, 7, 9, 11, 12], [3, 8, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 8, 13], [4, 5, 7, 9, 14], [6, 10, 11, 12, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 8, 13], [3, 6, 7, 9, 14], [5, 10, 11, 12, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 10, 12], [3, 9, 13, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 5, 9, 11, 13], [4, 8, 10, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 9, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 6 7 11 14 
5 9 10 12 15 
153

[[1, 4, 6, 7, 11], [2, 5, 9, 10, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 11, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 6, 13], [4, 7, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 4, 5, 6, 11], [2, 7, 9, 10, 14], [3, 8, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 6, 7], [3, 8, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 4, 5, 6, 9], [2, 7, 10, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 9, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 8, 13], [4, 5, 6, 9, 14], [7, 10, 11, 12, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 8, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 8, 13], [2, 6, 7, 9, 14], [5, 10, 11, 12, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 9, 12], [3, 10, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 5, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 9, 11], [7, 12, 13, 14, 15]]

1 2 3 8 13 
4 6 7 9 14 
5 10 11 12 15 
51

[[1, 4, 5, 6, 11], [2, 7, 9, 10, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 7, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 9, 11], [7, 12, 13, 14, 15]]

1 2 3 8 9 
4 5 6 12 14 
7 10 11 13 15 
157

[[1, 3, 5, 6, 9], [2, 4, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 12 
4 5 6 11 14 
7 8 10 13 15 
155

[[1, 3, 6, 8, 9], [2, 5, 10, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 4, 9, 10], [3, 6, 7, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 6, 7, 8], [3, 4, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 8, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 9, 10], [2, 6, 8, 12, 13], [5, 7, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 9, 11], [3, 4, 8, 10, 14], [6, 7, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 8, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 12, 13], [8, 9, 10, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 9, 10, 13], [6, 7, 12, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 12 
4 5 7 11 14 
6 8 10 13 15 
154

[[1, 3, 6, 8, 10], [2, 5, 9, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 9, 11], [3, 6, 7, 12, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 9, 10], [2, 6, 8, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 8, 10, 14], [6, 7, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 4, 9, 10, 13], [5, 7, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 12 
4 5 8 11 14 
6 7 10 13 15 
153

[[1, 3, 6, 9, 10], [2, 5, 8, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 10, 11], [3, 6, 7, 12, 13], [5, 8, 9, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 8, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 8, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 6, 7, 8], [3, 4, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 7, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 4, 9, 10], [2, 6, 8, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 7, 8, 10], [3, 4, 9, 12, 13], [5, 6, 11, 14, 15]]
[[1, 2, 5, 10, 11], [3, 4, 7, 12, 13], [6, 8, 9, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 8, 10, 14], [6, 7, 12, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 9, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 12, 13], [8, 9, 10, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 8, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 8, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 7, 8, 11], [3, 4, 9, 10, 13], [5, 6, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 13 
4 5 6 11 14 
7 8 10 12 15 
154

[[1, 4, 6, 8, 9], [2, 5, 10, 11, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 7, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 9, 14], [3, 10, 11, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 8, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 8, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 5, 6, 13], [2, 7, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 8, 12], [3, 4, 9, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 13 
4 5 7 11 14 
6 8 10 12 15 
153

[[1, 4, 6, 8, 10], [2, 5, 9, 11, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 7, 12, 13], [4, 8, 10, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 10, 14], [3, 9, 11, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 7, 8], [2, 4, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 6, 8, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 8, 10, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 12, 14], [8, 9, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 5, 7, 13], [2, 6, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 6, 8, 12], [3, 4, 9, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 13 
4 5 8 10 14 
6 7 11 12 15 
151

[[1, 4, 5, 9, 10], [2, 6, 8, 11, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 6, 10, 11], [3, 5, 7, 12, 13], [4, 8, 9, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 11, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 6, 7, 13], [3, 5, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 7, 8, 12], [3, 4, 9, 11, 13], [5, 6, 10, 14, 15]]

1 2 3 9 13 
4 5 8 11 14 
6 7 10 12 15 
152

[[1, 4, 6, 9, 10], [2, 5, 8, 11, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 10, 11], [3, 6, 7, 12, 13], [4, 8, 9, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 11, 14], [3, 9, 10, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 6, 7], [3, 8, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 8, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 7, 8, 11], [3, 4, 9, 12, 13], [5, 6, 10, 14, 15]]
[[1, 2, 6, 10, 11], [3, 4, 7, 12, 13], [5, 8, 9, 14, 15]]
[[1, 2, 3, 9, 12], [4, 5, 8, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 8, 13], [9, 10, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 6, 7, 13], [2, 5, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 7, 8, 12], [3, 4, 9, 10, 13], [5, 6, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 10, 11], [6, 12, 13, 14, 15]]

1 2 3 9 13 
4 6 7 11 14 
5 8 10 12 15 
152

[[1, 4, 6, 8, 11], [2, 5, 9, 10, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 7, 11, 13], [4, 8, 10, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 6, 13], [4, 7, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 4, 5, 6, 12], [2, 7, 9, 10, 14], [3, 8, 11, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 6, 7], [3, 8, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 10, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 6, 8, 11, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 5, 8, 10, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 8, 13], [3, 5, 6, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 8, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 5, 8, 13], [2, 6, 7, 9, 14], [4, 10, 11, 12, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 9, 12], [3, 10, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 9, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 9, 11], [6, 12, 13, 14, 15]]

1 2 3 9 13 
4 6 8 11 14 
5 7 10 12 15 
151

[[1, 4, 6, 9, 11], [2, 5, 8, 10, 12], [3, 7, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 10, 12], [3, 6, 7, 11, 13], [4, 8, 9, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 6, 13], [4, 7, 8, 11, 14], [5, 9, 10, 12, 15]]
[[1, 4, 5, 6, 12], [2, 7, 9, 11, 14], [3, 8, 10, 13, 15]]
[[1, 2, 3, 4, 7], [5, 8, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 8, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 6, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 7, 8], [2, 4, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 10, 11, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 7, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 8, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 7, 8, 11], [2, 4, 9, 12, 13], [5, 6, 10, 14, 15]]
[[1, 2, 6, 10, 11], [3, 4, 7, 12, 14], [5, 8, 9, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 8, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 9, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 4, 8, 13], [2, 5, 6, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 12, 14], [8, 9, 10, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 10, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 8, 13], [9, 10, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 8, 11], [9, 12, 13, 14, 15]]
[[1, 3, 6, 8, 13], [2, 5, 7, 9, 14], [4, 10, 11, 12, 15]]
[[1, 4, 6, 7, 11], [2, 5, 8, 9, 12], [3, 10, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 7, 8, 12], [3, 5, 9, 10, 13], [4, 6, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 9, 11], [6, 12, 13, 14, 15]]

1 2 4 10 12 
3 6 7 11 14 
5 8 9 13 15 
153

[[1, 3, 7, 8, 11], [2, 5, 9, 10, 13], [4, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 4, 9, 12], [3, 6, 8, 11, 14], [5, 7, 10, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 5, 10], [4, 7, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 6, 8], [2, 7, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 3, 7, 8, 10], [2, 5, 9, 12, 13], [4, 6, 11, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 2, 4, 9, 11], [3, 6, 8, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 8, 10, 13], [5, 7, 12, 14, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 5, 10, 12], [3, 4, 7, 11, 14], [6, 8, 9, 13, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 9, 14], [8, 10, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 9, 12], [6, 11, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 6, 9, 11], [2, 5, 8, 10, 13], [4, 7, 12, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 9, 12], [5, 11, 13, 14, 15]]

1 2 4 10 12 
3 6 8 11 14 
5 7 9 13 15 
152

[[1, 3, 7, 9, 11], [2, 5, 8, 10, 13], [4, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 7, 8, 10], [2, 5, 9, 12, 14], [4, 6, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 6, 8, 10, 13], [5, 7, 12, 14, 15]]
[[1, 3, 5, 10, 12], [2, 4, 7, 11, 14], [6, 8, 9, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 9, 12], [5, 11, 13, 14, 15]]

1 2 4 10 13 
3 5 7 11 14 
6 8 9 12 15 
151

[[1, 4, 7, 8, 10], [2, 5, 9, 11, 13], [3, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 8, 12, 14], [4, 7, 10, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 4, 5, 7, 13], [2, 6, 8, 10, 14], [3, 9, 11, 12, 15]]
[[1, 3, 4, 7, 13], [2, 5, 8, 11, 14], [6, 9, 10, 12, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 4, 6, 7, 10], [2, 5, 8, 11, 14], [3, 9, 12, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 9, 12], [4, 10, 13, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 8, 10, 13], [5, 7, 11, 14, 15]]

1 2 4 10 13 
3 5 8 11 14 
6 7 9 12 15 
150

[[1, 4, 7, 9, 10], [2, 5, 8, 11, 13], [3, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 10, 11], [3, 6, 8, 12, 14], [4, 7, 9, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 4, 5, 7, 13], [2, 6, 8, 11, 14], [3, 9, 10, 12, 15]]
[[1, 3, 4, 7, 13], [2, 5, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 4, 7, 8, 10], [2, 5, 9, 11, 14], [3, 6, 12, 13, 15]]
[[1, 4, 6, 7, 10], [2, 5, 8, 11, 13], [3, 9, 12, 14, 15]]
[[1, 2, 5, 9, 11], [3, 6, 8, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 7, 8, 11], [3, 5, 9, 12, 14], [4, 6, 10, 13, 15]]
[[1, 3, 6, 10, 12], [2, 4, 7, 11, 13], [5, 8, 9, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 8, 10, 13], [5, 7, 11, 14, 15]]
[[1, 2, 4, 7, 13], [3, 5, 8, 11, 14], [6, 9, 10, 12, 15]]
[[1, 3, 4, 10, 13], [2, 5, 7, 11, 14], [6, 8, 9, 12, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 11, 14], [3, 9, 12, 13, 15]]
[[1, 4, 6, 7, 13], [2, 5, 8, 10, 14], [3, 9, 11, 12, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 7, 9, 12], [2, 4, 8, 10, 13], [5, 6, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 10, 12], [5, 11, 13, 14, 15]]

1 2 4 10 13 
3 6 7 11 14 
5 8 9 12 15 
152

[[1, 4, 7, 8, 11], [2, 5, 9, 10, 13], [3, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 8, 11, 14], [4, 7, 10, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 4, 5, 7, 13], [2, 6, 9, 10, 14], [3, 8, 11, 12, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 4, 7, 8, 10], [2, 5, 9, 12, 13], [3, 6, 11, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 8, 10, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 6, 8, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 5, 10, 13], [3, 4, 7, 11, 14], [6, 8, 9, 12, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 4, 5, 8, 13], [2, 6, 7, 10, 14], [3, 9, 11, 12, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 6, 9, 12], [2, 5, 8, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 9, 12], [5, 11, 13, 14, 15]]

1 2 4 10 13 
3 6 8 11 14 
5 7 9 12 15 
151

[[1, 4, 7, 9, 11], [2, 5, 8, 10, 13], [3, 6, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 10, 12], [3, 6, 8, 11, 14], [4, 7, 9, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 4, 5, 7, 13], [2, 6, 9, 11, 14], [3, 8, 10, 12, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 4, 7, 8, 10], [2, 5, 9, 12, 14], [3, 6, 11, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 9, 11], [3, 6, 8, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 7, 8, 11], [2, 5, 9, 12, 14], [4, 6, 10, 13, 15]]
[[1, 3, 6, 10, 12], [2, 4, 7, 11, 14], [5, 8, 9, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 8, 10, 13], [5, 7, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 5, 10, 13], [2, 4, 7, 11, 14], [6, 8, 9, 12, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 4, 6, 8, 13], [2, 5, 7, 10, 14], [3, 9, 11, 12, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 7, 9, 12], [2, 5, 8, 10, 13], [4, 6, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 9, 12], [5, 11, 13, 14, 15]]

1 2 4 5 13 
3 6 7 10 14 
8 9 11 12 15 
152

[[1, 4, 5, 7, 8], [2, 6, 9, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 6, 8, 9], [3, 5, 10, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 7, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 10, 11], [2, 5, 8, 12, 13], [6, 7, 9, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 9, 11, 14], [7, 8, 10, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 6, 8, 9], [2, 5, 7, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 7, 9, 10], [3, 4, 8, 11, 14], [5, 6, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 9, 10, 12], [6, 7, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 5, 6, 11, 13], [7, 8, 10, 14, 15]]

1 2 4 5 13 
3 6 7 11 14 
8 9 10 12 15 
151

[[1, 4, 6, 7, 8], [2, 5, 9, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 7, 8, 9], [3, 5, 10, 11, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 6, 8, 11, 12], [5, 7, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 10, 14], [3, 11, 12, 13, 15]]
[[1, 3, 4, 10, 11], [2, 5, 7, 12, 13], [6, 8, 9, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 3, 7, 9, 10], [2, 4, 8, 11, 12], [5, 6, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 10, 11], [3, 5, 8, 12, 13], [6, 7, 9, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 9, 11, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 5, 7, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 7, 9, 10], [3, 4, 8, 11, 13], [5, 6, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 10, 11], [4, 5, 8, 12, 14], [6, 7, 9, 13, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 7, 8, 10], [3, 4, 9, 11, 14], [5, 6, 12, 13, 15]]
[[1, 3, 4, 5, 13], [2, 6, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 9, 11], [4, 5, 8, 10, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 5, 6, 11, 13], [7, 8, 9, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 9, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 6 8 11 14 
7 9 10 12 15 
150

[[1, 4, 6, 7, 9], [2, 5, 8, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 7, 8, 10], [3, 5, 9, 11, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 8, 10, 12], [5, 7, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 11, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 5, 7, 11, 13], [6, 8, 9, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 7, 9, 10], [2, 4, 8, 11, 13], [5, 6, 12, 14, 15]]
[[1, 2, 4, 10, 11], [3, 5, 8, 12, 14], [6, 7, 9, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 3, 4, 6, 13], [2, 5, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 9, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 6 9 10 14 
7 8 11 12 15 
152

[[1, 4, 5, 8, 9], [2, 6, 7, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 9, 10], [3, 5, 8, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 12, 13], [3, 10, 11, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 10, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 5, 13], [3, 6, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 9, 10, 12], [6, 7, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 5, 9, 12], [3, 4, 6, 11, 13], [7, 8, 10, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 6, 13], [4, 5, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 6, 8, 9], [3, 5, 10, 12, 13], [4, 7, 11, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 9, 10], [4, 6, 7, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 10, 13], [3, 11, 12, 14, 15]]
[[1, 3, 4, 5, 12], [2, 6, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 5, 6, 13], [3, 4, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 9, 12], [2, 5, 8, 11, 13], [6, 7, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 9, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 6 9 11 14 
7 8 10 12 15 
151

[[1, 4, 6, 8, 9], [2, 5, 7, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 9, 10], [3, 5, 8, 11, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 9, 10, 12], [5, 7, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 12, 14], [3, 10, 11, 13, 15]]
[[1, 3, 4, 9, 12], [2, 5, 7, 11, 13], [6, 8, 10, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 13], [3, 6, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 3, 7, 9, 10], [2, 4, 8, 11, 14], [5, 6, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 9, 10, 12], [6, 7, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 6, 11, 13], [7, 8, 10, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 9, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 4, 6, 13], [3, 5, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 6, 8, 9], [3, 5, 10, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 9, 10], [4, 6, 7, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 10, 11], [2, 5, 8, 12, 14], [6, 7, 9, 13, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 10, 13], [3, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 6, 8, 10], [3, 5, 9, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 5, 6, 13], [2, 4, 7, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 9, 11], [4, 6, 7, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 5, 8, 11, 13], [6, 7, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 9, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 7 8 10 14 
6 9 11 12 15 
154

[[1, 4, 5, 7, 10], [2, 6, 8, 9, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 9, 10, 14], [4, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 10, 11, 13], [3, 9, 12, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 9, 10, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 8, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 8, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 6, 7, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 7, 13], [3, 5, 6, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 9, 12], [2, 6, 7, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 8, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 7 8 11 14 
6 9 10 12 15 
153

[[1, 4, 6, 7, 10], [2, 5, 8, 9, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 7, 8, 11], [3, 5, 9, 10, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 10, 11, 12], [5, 7, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 10, 11, 14], [3, 9, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 7, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 9, 10], [2, 4, 8, 12, 13], [5, 6, 11, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 9, 10, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 8, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 8, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 6, 7, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 5, 10, 11], [3, 4, 8, 12, 14], [6, 7, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 9, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 7, 13], [2, 5, 6, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 9, 11], [4, 5, 6, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 6, 7, 11, 13], [5, 8, 9, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 8, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 7 9 10 14 
6 8 11 12 15 
153

[[1, 4, 5, 8, 10], [2, 6, 7, 9, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 8, 10, 14], [4, 7, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 10, 12, 13], [3, 9, 11, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 9, 10, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 6, 11, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 5, 10, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 6, 7, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 7, 13], [3, 4, 6, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 9, 12], [2, 6, 8, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 8, 12], [10, 11, 13, 14, 15]]

1 2 4 5 13 
3 7 9 11 14 
6 8 10 12 15 
152

[[1, 4, 6, 8, 10], [2, 5, 7, 9, 13], [3, 11, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 7, 9, 11], [3, 5, 8, 10, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 9, 11, 12], [5, 7, 13, 14, 15]]
[[1, 4, 5, 7, 8], [2, 6, 10, 12, 14], [3, 9, 11, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 7, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 6, 8, 9], [3, 5, 7, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 7, 9, 10], [2, 4, 8, 12, 14], [5, 6, 11, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 9, 10, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 9, 12], [2, 4, 6, 11, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 5, 10, 12, 14], [4, 7, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 6, 7, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 5, 10, 11], [2, 4, 8, 12, 14], [6, 7, 9, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 9, 11, 13], [7, 8, 10, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 9, 11, 14], [5, 7, 12, 13, 15]]
[[1, 3, 5, 7, 13], [2, 4, 6, 10, 14], [8, 9, 11, 12, 15]]
[[1, 2, 3, 9, 11], [4, 5, 7, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 6, 8, 11, 13], [5, 7, 9, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 8, 12], [10, 11, 13, 14, 15]]

1 2 4 6 13 
3 5 8 10 14 
7 9 11 12 15 
152

[[1, 4, 5, 7, 9], [2, 6, 8, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 9, 12, 14], [4, 7, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 7, 10, 13], [5, 8, 12, 14, 15]]
[[1, 3, 4, 10, 12], [2, 5, 8, 11, 14], [6, 7, 9, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 7, 9, 10], [2, 5, 8, 11, 14], [4, 6, 12, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 9, 10, 12], [5, 7, 13, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 7, 11, 13], [6, 8, 10, 14, 15]]

1 2 4 6 13 
3 5 8 11 14 
7 9 10 12 15 
151

[[1, 4, 6, 7, 9], [2, 5, 8, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 7, 8, 10], [3, 5, 9, 12, 14], [4, 6, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 9, 11], [4, 6, 8, 10, 13], [5, 7, 12, 14, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 11, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 5, 7, 11, 14], [6, 8, 9, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 9, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 7, 9, 11], [2, 4, 8, 10, 13], [5, 6, 12, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 10, 12], [3, 5, 8, 11, 14], [6, 7, 9, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 7, 9, 10], [2, 5, 8, 11, 13], [4, 6, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 4, 10, 11], [3, 6, 8, 12, 14], [5, 7, 9, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 7, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 7, 8, 10], [2, 5, 9, 11, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 6, 13], [2, 5, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 2, 4, 9, 11], [3, 6, 8, 10, 12], [5, 7, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 10, 12], [2, 4, 7, 11, 13], [6, 8, 9, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 10, 12], [9, 11, 13, 14, 15]]

1 2 4 6 13 
3 5 9 10 14 
7 8 11 12 15 
153

[[1, 4, 5, 8, 9], [2, 6, 7, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 9, 10], [3, 5, 8, 12, 14], [4, 7, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 12, 13], [3, 10, 11, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 9, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 9, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 6, 12, 13], [7, 8, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 8, 9], [3, 4, 10, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 7, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 5, 12], [2, 7, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 5, 6, 13], [3, 4, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 9, 12], [2, 4, 8, 11, 13], [6, 7, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 10, 12], [9, 11, 13, 14, 15]]

1 2 4 6 13 
3 5 9 11 14 
7 8 10 12 15 
152

[[1, 4, 6, 8, 9], [2, 5, 7, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 7, 9, 10], [3, 5, 8, 12, 14], [4, 6, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 9, 10, 13], [5, 7, 12, 14, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 12, 14], [3, 10, 11, 13, 15]]
[[1, 3, 4, 9, 12], [2, 5, 7, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 7, 9, 11], [2, 4, 8, 10, 14], [5, 6, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 9, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 6, 12, 13], [7, 8, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 8, 9], [3, 4, 10, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 7, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 10, 11], [2, 6, 8, 12, 14], [5, 7, 9, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 9, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 5, 6, 13], [2, 4, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 2, 4, 9, 11], [3, 6, 7, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 10, 12], [2, 4, 8, 11, 13], [6, 7, 9, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 10, 12], [9, 11, 13, 14, 15]]

1 2 4 6 13 
3 7 8 11 14 
5 9 10 12 15 
152

[[1, 4, 6, 7, 11], [2, 5, 8, 9, 13], [3, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 7, 8, 12], [3, 5, 9, 10, 14], [4, 6, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 10, 11, 13], [5, 7, 12, 14, 15]]
[[1, 4, 5, 7, 9], [2, 6, 10, 11, 14], [3, 8, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 7, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 7, 9, 11], [2, 4, 8, 12, 13], [5, 6, 10, 14, 15]]
[[1, 3, 5, 6, 12], [2, 7, 9, 11, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 9, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 8, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 8, 13], [9, 10, 12, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 7, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 5, 7, 9, 14], [4, 10, 11, 13, 15]]
[[1, 2, 6, 10, 11], [3, 4, 8, 12, 14], [5, 7, 9, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 9, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 8, 13], [2, 5, 6, 10, 14], [7, 9, 11, 12, 15]]
[[1, 2, 4, 9, 11], [3, 5, 6, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 10, 12], [2, 6, 7, 11, 13], [4, 8, 9, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 8, 12], [9, 11, 13, 14, 15]]

1 2 4 7 12 
3 5 6 11 14 
8 9 10 13 15 
156

[[1, 3, 6, 7, 8], [2, 5, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 6, 11], [2, 5, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 11, 14], [5, 10, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 10, 12], [8, 11, 13, 14, 15]]

1 2 4 7 13 
3 5 6 11 14 
8 9 10 12 15 
155

[[1, 4, 6, 7, 8], [2, 5, 10, 11, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 12, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 9, 14], [3, 11, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 5, 13], [2, 7, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 4, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 10, 12], [8, 11, 13, 14, 15]]

1 2 4 7 13 
3 6 8 11 14 
5 9 10 12 15 
151

[[1, 4, 6, 7, 11], [2, 5, 8, 10, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 7, 8, 12], [3, 5, 9, 11, 14], [4, 6, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 10, 12, 13], [5, 7, 11, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 9, 11, 14], [3, 8, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 7, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 3, 7, 9, 12], [2, 4, 8, 11, 13], [5, 6, 10, 14, 15]]
[[1, 3, 5, 6, 12], [2, 7, 9, 11, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 8, 13], [3, 5, 9, 10, 14], [6, 7, 11, 12, 15]]
[[1, 2, 6, 7, 13], [3, 4, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 3, 5, 9], [4, 6, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 10, 12], [7, 11, 13, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 12, 13], [3, 9, 10, 14, 15]]
[[1, 4, 5, 9, 10], [2, 6, 7, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 9, 14], [4, 10, 11, 13, 15]]
[[1, 2, 6, 10, 11], [3, 5, 8, 12, 14], [4, 7, 9, 13, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 9, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 8, 13], [2, 5, 7, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 5, 9, 11], [3, 4, 6, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 10, 12], [2, 5, 7, 11, 13], [4, 8, 9, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 9, 12], [8, 11, 13, 14, 15]]

1 2 4 7 13 
3 6 9 10 14 
5 8 11 12 15 
153

[[1, 4, 5, 8, 11], [2, 6, 7, 10, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 7, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 6, 9, 12], [3, 5, 8, 11, 14], [4, 7, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 9, 12, 13], [3, 8, 11, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 9, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 9, 11], [3, 4, 6, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 10, 12, 13], [5, 7, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 7, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 8, 12], [3, 4, 7, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 8, 13], [3, 4, 7, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 9, 12], [2, 5, 8, 11, 13], [4, 7, 10, 14, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 9, 12], [8, 11, 13, 14, 15]]

1 2 4 7 13 
3 6 9 11 14 
5 8 10 12 15 
152

[[1, 4, 6, 8, 11], [2, 5, 7, 10, 13], [3, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 7, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 7, 9, 12], [3, 5, 8, 11, 14], [4, 6, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 9, 12, 13], [5, 7, 11, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 9, 12, 14], [3, 8, 11, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 7, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 7, 9, 12], [2, 4, 8, 11, 14], [5, 6, 10, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 9, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 9, 11], [2, 4, 6, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 10, 12, 14], [5, 7, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 7, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 6, 10, 11], [2, 5, 8, 12, 14], [4, 7, 9, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 9, 11, 14], [5, 7, 12, 13, 15]]
[[1, 3, 5, 8, 13], [2, 4, 7, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 5, 9, 11], [3, 4, 7, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 10, 12], [2, 5, 8, 11, 13], [4, 7, 9, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 9, 12], [8, 11, 13, 14, 15]]

1 2 4 7 9 
3 5 6 12 14 
8 10 11 13 15 
57

[[1, 3, 5, 6, 8], [2, 4, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 10, 12], [6, 11, 13, 14, 15]]

1 2 4 8 12 
3 5 6 11 14 
7 9 10 13 15 
155

[[1, 3, 6, 7, 9], [2, 5, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 7, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 10, 12], [7, 11, 13, 14, 15]]

1 2 4 8 12 
3 6 7 11 14 
5 9 10 13 15 
155

[[1, 3, 6, 7, 11], [2, 5, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 9, 12], [7, 11, 13, 14, 15]]

1 2 4 8 13 
3 5 6 10 14 
7 9 11 12 15 
153

[[1, 4, 5, 7, 9], [2, 6, 10, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 9, 13], [3, 10, 12, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 9, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 9, 10, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 8, 12], [2, 6, 7, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 6, 7, 11, 13], [4, 8, 10, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 7, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 6, 13], [3, 7, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 10, 12], [7, 11, 13, 14, 15]]

1 2 4 8 13 
3 5 6 11 14 
7 9 10 12 15 
154

[[1, 4, 6, 7, 9], [2, 5, 10, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 9, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 8, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 6, 13], [2, 7, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 10, 12], [7, 11, 13, 14, 15]]

1 2 4 8 13 
3 5 7 11 14 
6 9 10 12 15 
153

[[1, 4, 6, 7, 10], [2, 5, 9, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 12, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 10, 14], [3, 9, 12, 13, 15]]
[[1, 3, 4, 7, 13], [2, 5, 9, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 7, 9], [2, 4, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 11, 14], [6, 9, 12, 13, 15]]
[[1, 4, 6, 7, 10], [2, 5, 8, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 7, 13], [3, 4, 8, 11, 14], [6, 9, 10, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 12, 14], [7, 9, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 7, 11, 14], [3, 9, 12, 13, 15]]
[[1, 3, 4, 7, 13], [2, 6, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 6, 7, 12], [2, 4, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 10, 12], [7, 11, 13, 14, 15]]

1 2 4 8 13 
3 6 7 10 14 
5 9 11 12 15 
153

[[1, 4, 5, 7, 11], [2, 6, 9, 10, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 11, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 3, 8, 12], [4, 5, 7, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 5, 9, 11, 13], [4, 8, 10, 14, 15]]

1 2 4 8 13 
3 6 7 11 14 
5 9 10 12 15 
154

[[1, 4, 6, 7, 11], [2, 5, 9, 10, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 11, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 9, 10, 14], [3, 8, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 8, 12], [4, 5, 6, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 8, 13], [2, 6, 7, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 6, 7, 12], [2, 5, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 9, 12], [7, 11, 13, 14, 15]]

1 2 4 8 13 
3 6 9 10 14 
5 7 11 12 15 
152

[[1, 4, 5, 9, 11], [2, 6, 7, 10, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 10, 12], [3, 5, 8, 11, 14], [4, 7, 9, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 9, 12, 13], [3, 8, 10, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 10, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 9, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 6, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 7, 8, 12], [2, 5, 9, 11, 14], [4, 6, 10, 13, 15]]
[[1, 3, 6, 10, 12], [2, 5, 7, 11, 14], [4, 8, 9, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 10, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 7, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 5, 7, 12], [2, 6, 9, 11, 13], [4, 8, 10, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 6, 8, 13], [3, 4, 7, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 7, 9, 12], [2, 5, 8, 11, 13], [4, 6, 10, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 9, 12], [7, 11, 13, 14, 15]]

1 2 4 9 12 
3 5 6 11 14 
7 8 10 13 15 
154

[[1, 3, 6, 8, 9], [2, 5, 10, 11, 13], [4, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 4, 9, 10], [3, 6, 7, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 9, 11, 14], [7, 8, 10, 13, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 8, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 8, 12, 13], [5, 7, 10, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 6, 9, 11], [3, 4, 8, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 8, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 3, 6, 8, 9], [2, 5, 7, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 9, 10, 13], [6, 7, 12, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 10, 12], [6, 11, 13, 14, 15]]

1 2 4 9 12 
3 6 7 11 14 
5 8 10 13 15 
154

[[1, 3, 6, 8, 11], [2, 5, 9, 10, 13], [4, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 9, 13], [6, 11, 12, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 8, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 7, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 9, 12], [6, 11, 13, 14, 15]]

1 2 4 9 13 
3 5 6 11 14 
7 8 10 12 15 
153

[[1, 4, 6, 8, 9], [2, 5, 10, 11, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 7, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 9, 14], [3, 10, 11, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 9, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 8, 12, 13], [4, 7, 10, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 6, 9, 12], [3, 4, 8, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 7, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 5, 6, 13], [2, 7, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 9, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 10, 12], [6, 11, 13, 14, 15]]

1 2 4 9 13 
3 5 7 11 14 
6 8 10 12 15 
152

[[1, 4, 6, 8, 10], [2, 5, 9, 11, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 7, 12, 14], [4, 8, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 10, 14], [3, 9, 11, 13, 15]]
[[1, 3, 4, 7, 13], [2, 5, 9, 11, 14], [6, 8, 10, 12, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 7, 9], [2, 4, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 11, 13], [6, 9, 12, 14, 15]]
[[1, 4, 6, 7, 10], [2, 5, 8, 12, 14], [3, 9, 11, 13, 15]]
[[1, 3, 5, 9, 11], [2, 6, 8, 12, 14], [4, 7, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 8, 10, 14], [5, 7, 11, 13, 15]]
[[1, 3, 5, 7, 13], [2, 4, 8, 11, 14], [6, 9, 10, 12, 15]]
[[1, 2, 4, 7, 10], [3, 5, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 12, 14], [7, 9, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 4, 6, 8, 10], [2, 5, 7, 11, 14], [3, 9, 12, 13, 15]]
[[1, 3, 5, 7, 13], [2, 6, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 8, 12], [2, 4, 9, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 10, 12], [6, 11, 13, 14, 15]]

1 2 4 9 13 
3 5 8 11 14 
6 7 10 12 15 
151

[[1, 4, 6, 9, 10], [2, 5, 8, 11, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 10, 11], [3, 6, 7, 12, 14], [4, 8, 9, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 7, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 11, 14], [3, 9, 10, 13, 15]]
[[1, 3, 4, 7, 13], [2, 5, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 2, 5, 6, 8], [3, 7, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 9, 11], [6, 12, 13, 14, 15]]
[[1, 4, 6, 7, 10], [2, 5, 8, 11, 12], [3, 9, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 8, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 7, 8, 11], [3, 5, 9, 12, 13], [4, 6, 10, 14, 15]]
[[1, 2, 6, 10, 12], [3, 4, 7, 11, 13], [5, 8, 9, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 8, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 7, 13], [4, 5, 8, 11, 14], [6, 9, 10, 12, 15]]
[[1, 2, 3, 4, 10], [5, 7, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 9, 13], [8, 10, 11, 14, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 11, 14], [3, 9, 12, 13, 15]]
[[1, 3, 6, 7, 13], [2, 5, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 9, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 7, 8, 12], [2, 4, 9, 10, 13], [5, 6, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 10, 12], [6, 11, 13, 14, 15]]

1 2 4 9 13 
3 6 7 11 14 
5 8 10 12 15 
153

[[1, 4, 6, 8, 11], [2, 5, 9, 10, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 7, 11, 14], [4, 8, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 9, 10, 14], [3, 8, 11, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 5, 6, 9], [2, 7, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 9, 11], [2, 6, 8, 10, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 7, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 6, 8, 10, 14], [5, 7, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 4, 8, 12], [3, 5, 6, 9, 14], [7, 10, 11, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 5, 8, 13], [2, 6, 7, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 8, 12], [2, 5, 9, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 9, 12], [6, 11, 13, 14, 15]]

1 2 4 9 13 
3 6 8 10 14 
5 7 11 12 15 
151

[[1, 4, 5, 9, 11], [2, 6, 8, 10, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 6, 10, 12], [3, 5, 7, 11, 14], [4, 8, 9, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 9, 11, 13], [3, 8, 10, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 6, 8, 13], [3, 5, 7, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 5, 6, 10], [2, 7, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 3, 7, 8, 12], [2, 5, 9, 11, 13], [4, 6, 10, 14, 15]]

1 2 4 9 13 
3 6 8 11 14 
5 7 10 12 15 
152

[[1, 4, 6, 9, 11], [2, 5, 8, 10, 13], [3, 7, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 10, 12], [3, 6, 7, 11, 14], [4, 8, 9, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 9, 11, 14], [3, 8, 10, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 6, 8], [3, 7, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 7, 9], [2, 4, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 5, 6, 9], [2, 7, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 7, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 8, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 7, 8, 11], [2, 5, 9, 12, 13], [4, 6, 10, 14, 15]]
[[1, 2, 6, 10, 12], [3, 4, 7, 11, 14], [5, 8, 9, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 8, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 9, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 9, 14], [7, 10, 11, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 12, 14], [7, 9, 10, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 9, 13], [8, 10, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 6, 8, 13], [2, 5, 7, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 7, 8, 12], [2, 5, 9, 10, 13], [4, 6, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 9, 12], [6, 11, 13, 14, 15]]

1 2 5 10 12 
3 4 8 11 14 
6 7 9 13 15 
154

[[1, 3, 7, 9, 10], [2, 5, 8, 12, 13], [4, 6, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 9, 10, 14], [5, 7, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 3, 5, 9], [4, 7, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 7, 8, 11], [2, 5, 9, 10, 14], [4, 6, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 10, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 9, 12, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 7, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 6, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 10, 12], [2, 6, 7, 11, 14], [5, 8, 9, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 9, 12], [7, 11, 13, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 9, 11], [2, 6, 7, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 11, 12], [5, 10, 13, 14, 15]]

1 2 5 10 13 
3 4 8 11 14 
6 7 9 12 15 
153

[[1, 4, 7, 9, 10], [2, 5, 8, 12, 13], [3, 6, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 9, 10, 14], [4, 7, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 6, 10, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 4, 5, 8, 13], [2, 6, 7, 11, 14], [3, 9, 10, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 9, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 4, 7, 8, 11], [2, 5, 9, 10, 14], [3, 6, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 10, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 9, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 7, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 9, 12], [4, 5, 6, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 10, 13], [2, 6, 7, 11, 14], [5, 8, 9, 12, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 4, 6, 9], [2, 7, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 4, 6, 7, 13], [2, 5, 9, 10, 14], [3, 8, 11, 12, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 6, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 9, 12], [2, 6, 7, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 11, 12], [5, 10, 13, 14, 15]]

1 2 5 10 13 
3 6 8 11 14 
4 7 9 12 15 
150

[[1, 4, 7, 9, 12], [2, 5, 8, 10, 13], [3, 6, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 4, 5, 8, 13], [2, 6, 9, 11, 14], [3, 7, 10, 12, 15]]
[[1, 2, 5, 6, 9], [3, 7, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 4, 7, 8, 11], [2, 5, 9, 12, 14], [3, 6, 10, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 8, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 6, 10, 13], [2, 4, 7, 11, 14], [5, 8, 9, 12, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 9, 13], [7, 10, 11, 14, 15]]
[[1, 4, 6, 9, 13], [2, 5, 7, 10, 14], [3, 8, 11, 12, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 9, 12], [5, 10, 13, 14, 15]]

1 2 5 6 11 
3 4 9 10 14 
7 8 12 13 15 
158

[[1, 3, 4, 8, 9], [2, 6, 7, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 12, 13], [9, 10, 11, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 4, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 12, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 12 
3 4 9 10 14 
7 8 11 13 15 
157

[[1, 3, 5, 8, 9], [2, 6, 7, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 4, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 12, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 4, 5, 12], [2, 7, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 12 
3 4 9 11 14 
7 8 10 13 15 
156

[[1, 3, 6, 8, 9], [2, 5, 7, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 13 
3 4 7 11 14 
8 9 10 12 15 
153

[[1, 4, 6, 7, 8], [2, 5, 9, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 10, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 9, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 9, 11], [5, 12, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 7, 10, 14], [3, 11, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 11, 13], [7, 9, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 9, 10, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 6, 13], [4, 5, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 11, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 13], [4, 6, 8, 9, 14], [7, 10, 11, 12, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 4, 5, 6, 9], [2, 7, 8, 10, 12], [3, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 5, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 11, 12], [3, 10, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 7, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 6, 7, 9], [3, 5, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 5, 13], [2, 6, 9, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 4, 11], [5, 7, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 7, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 6, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 13 
3 4 8 11 14 
7 9 10 12 15 
154

[[1, 4, 6, 7, 9], [2, 5, 8, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 7, 11, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 6, 13], [2, 5, 9, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 7, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 13 
3 4 9 10 14 
7 8 11 12 15 
156

[[1, 4, 5, 8, 9], [2, 6, 7, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 5, 12], [2, 7, 8, 9, 13], [6, 10, 11, 14, 15]]

1 2 5 6 13 
3 4 9 11 14 
7 8 10 12 15 
155

[[1, 4, 6, 8, 9], [2, 5, 7, 12, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 6, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 7, 12, 14], [3, 10, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 6, 13], [2, 4, 9, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 10, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 5, 12], [2, 7, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 11, 12], [9, 10, 13, 14, 15]]

1 2 5 6 13 
3 7 8 11 14 
4 9 10 12 15 
151

[[1, 4, 6, 7, 12], [2, 5, 8, 9, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 7, 8, 13], [3, 5, 9, 10, 14], [4, 6, 11, 12, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 10, 11, 14], [5, 7, 12, 13, 15]]
[[1, 4, 5, 8, 9], [2, 6, 10, 11, 14], [3, 7, 12, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 7, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 7, 11, 12], [4, 8, 13, 14, 15]]
[[1, 4, 5, 10, 11], [2, 6, 8, 12, 13], [3, 7, 9, 14, 15]]
[[1, 3, 7, 10, 11], [2, 4, 8, 12, 13], [5, 6, 9, 14, 15]]
[[1, 2, 5, 6, 12], [3, 7, 9, 11, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 9, 11, 14], [6, 7, 10, 13, 15]]
[[1, 2, 3, 6, 7], [4, 8, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 6, 9, 10], [2, 5, 7, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 5, 7, 9, 13], [4, 10, 11, 14, 15]]
[[1, 2, 7, 10, 11], [3, 4, 8, 12, 14], [5, 6, 9, 13, 15]]
[[1, 2, 7, 9, 13], [3, 4, 8, 10, 14], [5, 6, 11, 12, 15]]
[[1, 2, 3, 8, 12], [4, 5, 9, 11, 13], [6, 7, 10, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 9, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 4, 9, 13], [2, 5, 6, 10, 14], [7, 8, 11, 12, 15]]
[[1, 3, 4, 9, 11], [2, 5, 6, 10, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 4, 5, 10, 12], [2, 6, 7, 11, 13], [3, 8, 9, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 8, 12], [9, 10, 13, 14, 15]]

1 2 5 6 13 
3 7 9 11 14 
4 8 10 12 15 
150

[[1, 4, 6, 8, 12], [2, 5, 7, 9, 13], [3, 10, 11, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 7, 9, 13], [3, 5, 8, 10, 14], [4, 6, 11, 12, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 9, 11, 14], [5, 7, 12, 13, 15]]
[[1, 4, 5, 8, 9], [2, 6, 10, 12, 14], [3, 7, 11, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 7, 10, 12], [6, 8, 13, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 7, 11, 13], [4, 8, 12, 14, 15]]
[[1, 4, 5, 10, 12], [2, 6, 8, 11, 13], [3, 7, 9, 14, 15]]
[[1, 3, 7, 10, 11], [2, 4, 8, 12, 14], [5, 6, 9, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 9, 11, 13], [6, 7, 10, 14, 15]]
[[1, 3, 5, 9, 13], [2, 4, 6, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 8, 12], [9, 10, 13, 14, 15]]

1 2 5 6 7 
3 4 10 12 14 
8 9 11 13 15 
157

[[1, 3, 5, 7, 8], [2, 4, 6, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 11, 13], [7, 10, 12, 14, 15]]

1 2 5 7 12 
3 4 6 11 14 
8 9 10 13 15 
155

[[1, 3, 6, 7, 8], [2, 5, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 9, 10], [11, 12, 13, 14, 15]]
[[1, 3, 4, 6, 11], [2, 5, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 11, 12], [8, 10, 13, 14, 15]]

1 2 5 7 12 
3 4 9 10 14 
6 8 11 13 15 
156

[[1, 3, 5, 8, 10], [2, 6, 7, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 4, 6, 12], [2, 7, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 11, 12], [8, 10, 13, 14, 15]]

1 2 5 7 12 
3 4 9 11 14 
6 8 10 13 15 
155

[[1, 3, 6, 8, 10], [2, 5, 7, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 7, 12], [3, 4, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 12, 13], [4, 9, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 11, 12], [8, 10, 13, 14, 15]]

1 2 5 7 13 
3 4 6 11 14 
8 9 10 12 15 
154

[[1, 4, 6, 7, 8], [2, 5, 10, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 11, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 9, 12], [5, 11, 13, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 7, 9, 14], [3, 11, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 11, 14], [7, 9, 10, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 6, 7, 9], [2, 5, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 5, 13], [2, 7, 9, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 3, 5, 11], [4, 7, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 5, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 11, 12], [8, 10, 13, 14, 15]]

1 2 5 7 13 
3 4 9 10 14 
6 8 11 12 15 
155

[[1, 4, 5, 8, 10], [2, 6, 7, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 6, 12], [2, 7, 8, 9, 13], [5, 10, 11, 14, 15]]

1 2 5 7 13 
3 4 9 11 14 
6 8 10 12 15 
154

[[1, 4, 6, 8, 10], [2, 5, 7, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 7, 12, 14], [3, 9, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 7, 12], [2, 4, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 12, 14], [4, 9, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 7, 13], [2, 4, 9, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 11, 12], [8, 10, 13, 14, 15]]

1 2 5 8 11 
3 4 7 10 14 
6 9 12 13 15 
35

[[1, 3, 4, 7, 10], [2, 6, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 11 
3 4 9 10 14 
6 7 12 13 15 
156

[[1, 3, 4, 9, 10], [2, 6, 7, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 12 
3 4 7 11 14 
6 9 10 13 15 
155

[[1, 3, 6, 7, 10], [2, 5, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 10, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 10, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 9, 14], [6, 11, 12, 13, 15]]
[[1, 3, 4, 5, 10], [2, 7, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 6, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 6, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 12 
3 4 9 10 14 
6 7 11 13 15 
155

[[1, 3, 5, 9, 10], [2, 6, 7, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 13 
3 4 6 11 14 
7 9 10 12 15 
153

[[1, 4, 6, 7, 9], [2, 5, 10, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 9, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 6, 13], [2, 7, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 4, 5, 7], [3, 8, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 13 
3 4 7 11 14 
6 9 10 12 15 
154

[[1, 4, 6, 7, 10], [2, 5, 9, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 10, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 10, 14], [3, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 10, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 6, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 13], [2, 6, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 6, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 13 
3 4 9 10 14 
6 7 11 12 15 
154

[[1, 4, 5, 9, 10], [2, 6, 7, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 12, 13], [3, 9, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 11, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 9, 11, 14], [6, 7, 10, 13, 15]]
[[1, 3, 6, 9, 10], [2, 5, 7, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 9, 13], [4, 10, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 7, 13], [3, 4, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 13 
3 4 9 11 14 
6 7 10 12 15 
153

[[1, 4, 6, 9, 10], [2, 5, 7, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 5, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 10, 14], [4, 9, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 11, 12], [5, 10, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 12, 14], [3, 9, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 9, 13], [4, 10, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 7, 13], [2, 4, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 3, 6, 11], [4, 5, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 7, 12], [2, 6, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 11, 12], [7, 10, 13, 14, 15]]

1 2 5 8 13 
3 6 7 11 14 
4 9 10 12 15 
153

[[1, 4, 6, 7, 12], [2, 5, 9, 10, 13], [3, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 9, 10, 14], [3, 7, 12, 13, 15]]
[[1, 2, 5, 6, 9], [3, 7, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 6, 9, 13], [7, 10, 11, 14, 15]]
[[1, 3, 4, 9, 13], [2, 6, 7, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 9, 12], [7, 10, 13, 14, 15]]

1 2 5 8 9 
3 4 7 12 14 
6 10 11 13 15 
156

[[1, 3, 5, 6, 10], [2, 4, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 10, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 6, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 10, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 6, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 12 
3 4 8 11 14 
6 7 10 13 15 
155

[[1, 3, 6, 9, 10], [2, 5, 8, 12, 13], [4, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 9, 10, 14], [5, 8, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 10, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 6, 7, 10], [3, 4, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 10, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 9, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 7, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 6, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 12, 13], [6, 9, 10, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 6, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 11], [2, 6, 7, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 13 
3 4 6 11 14 
7 8 10 12 15 
152

[[1, 4, 6, 8, 9], [2, 5, 10, 12, 13], [3, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 7, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 9, 14], [3, 10, 11, 13, 15]]
[[1, 3, 4, 7, 12], [2, 5, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 5, 8, 13], [3, 4, 6, 10, 14], [7, 9, 11, 12, 15]]
[[1, 3, 6, 7, 10], [2, 4, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 10, 12], [6, 9, 13, 14, 15]]
[[1, 3, 4, 7, 10], [2, 5, 6, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 9, 12], [2, 6, 8, 11, 13], [4, 7, 10, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 7, 9, 13], [3, 10, 12, 14, 15]]
[[1, 2, 4, 6, 13], [3, 7, 9, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 6, 9, 12], [3, 5, 8, 10, 14], [4, 7, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 10, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 6, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 12, 14], [6, 9, 10, 13, 15]]
[[1, 4, 5, 7, 9], [2, 6, 10, 12, 13], [3, 8, 11, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 11, 14], [4, 9, 12, 13, 15]]
[[1, 3, 5, 6, 13], [2, 7, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 9, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 13 
3 4 7 11 14 
6 8 10 12 15 
153

[[1, 4, 6, 8, 10], [2, 5, 9, 12, 13], [3, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 7, 10, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 10, 14], [3, 9, 11, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 10, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 9, 12], [2, 6, 8, 11, 14], [4, 7, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 7, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 6, 9, 12], [2, 5, 8, 10, 14], [4, 7, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 6, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 5, 7, 13], [2, 6, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 6, 9, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 13 
3 4 8 10 14 
6 7 11 12 15 
153

[[1, 4, 5, 9, 10], [2, 6, 8, 12, 13], [3, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 10, 12], [8, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 11, 13], [3, 9, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 6, 13], [3, 7, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 10, 11, 12], [3, 7, 13, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 9, 11, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 7, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 3, 9, 13], [4, 5, 6, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 9, 13], [3, 10, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 7, 13], [3, 5, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 8, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 6, 7, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 13 
3 4 8 11 14 
6 7 10 12 15 
154

[[1, 4, 6, 9, 10], [2, 5, 8, 12, 13], [3, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 11, 14], [3, 9, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 10, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 9, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 7, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 9, 12], [4, 5, 6, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 7, 13], [2, 5, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 6, 7, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 11, 12], [6, 10, 13, 14, 15]]

1 2 5 9 13 
3 6 7 11 14 
4 8 10 12 15 
152

[[1, 4, 6, 8, 12], [2, 5, 9, 10, 13], [3, 7, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 9, 10, 14], [3, 7, 11, 13, 15]]
[[1, 2, 5, 6, 9], [3, 7, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 9, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 6, 8, 10, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 6, 9, 13], [7, 10, 11, 14, 15]]
[[1, 3, 5, 9, 13], [2, 6, 7, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 9, 12], [6, 10, 13, 14, 15]]

1 2 6 10 12 
3 4 8 11 14 
5 7 9 13 15 
153

[[1, 3, 7, 9, 11], [2, 5, 8, 12, 13], [4, 6, 10, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 4, 8, 12], [3, 6, 9, 10, 14], [5, 7, 11, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 3, 5, 9], [4, 7, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 5, 7, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 7, 8, 12], [2, 5, 9, 10, 14], [4, 6, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 10, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 9, 12, 14], [6, 7, 11, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 7, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 6, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 10, 12], [2, 6, 7, 11, 14], [4, 8, 9, 13, 15]]
[[1, 3, 5, 7, 12], [2, 6, 9, 11, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 9, 12], [7, 11, 13, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 5, 9, 11], [2, 6, 7, 10, 13], [4, 8, 12, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 11, 12], [5, 9, 13, 14, 15]]

1 2 6 10 13 
3 4 7 11 14 
5 8 9 12 15 
151

[[1, 4, 7, 8, 11], [2, 5, 9, 12, 13], [3, 6, 10, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 8, 10, 14], [4, 7, 11, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 9, 13], [7, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 9, 11, 13], [5, 8, 12, 14, 15]]
[[1, 4, 5, 9, 13], [2, 6, 7, 10, 14], [3, 8, 11, 12, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 12, 14], [6, 9, 10, 13, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 9, 13], [7, 10, 11, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 9, 12], [5, 10, 13, 14, 15]]
[[1, 3, 6, 9, 13], [2, 5, 7, 10, 14], [4, 8, 11, 12, 15]]
[[1, 4, 7, 8, 12], [2, 5, 9, 10, 13], [3, 6, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 5, 9, 13], [3, 6, 8, 11, 14], [4, 7, 10, 12, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 4, 6, 9, 12], [2, 5, 8, 10, 13], [3, 7, 11, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 10, 13], [3, 6, 7, 11, 14], [4, 8, 9, 12, 15]]
[[1, 4, 5, 8, 12], [2, 6, 9, 11, 14], [3, 7, 10, 13, 15]]
[[1, 2, 3, 6, 11], [4, 7, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 5, 6, 9], [3, 7, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 4, 7, 12], [2, 5, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 4, 5, 8, 13], [2, 6, 9, 10, 14], [3, 7, 11, 12, 15]]
[[1, 2, 4, 8, 11], [3, 5, 7, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 9], [3, 7, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 5, 9, 12], [2, 6, 8, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 6, 7, 10], [2, 4, 8, 11, 12], [5, 9, 13, 14, 15]]

1 2 6 10 13 
3 4 8 11 14 
5 7 9 12 15 
152

[[1, 4, 7, 9, 11], [2, 5, 8, 12, 13], [3, 6, 10, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 9, 10, 14], [4, 7, 11, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 4, 5, 9, 13], [2, 6, 7, 11, 14], [3, 8, 10, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 3, 6, 9, 12], [2, 5, 7, 10, 14], [4, 8, 11, 13, 15]]
[[1, 4, 7, 8, 12], [2, 5, 9, 10, 14], [3, 6, 11, 13, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 10, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 9, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 7, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 6, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 3, 5, 10, 13], [2, 6, 7, 11, 14], [4, 8, 9, 12, 15]]
[[1, 3, 5, 8, 12], [2, 6, 9, 11, 14], [4, 7, 10, 13, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 4, 6, 8, 13], [2, 5, 9, 10, 14], [3, 7, 11, 12, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 5, 9, 12], [2, 6, 7, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 11, 12], [5, 9, 13, 14, 15]]

1 2 6 10 13 
3 5 7 11 14 
4 8 9 12 15 
150

[[1, 4, 7, 8, 12], [2, 5, 9, 11, 13], [3, 6, 10, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 5, 9, 13], [3, 6, 8, 10, 14], [4, 7, 11, 12, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 9, 13], [2, 6, 8, 10, 14], [3, 7, 11, 12, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 4, 5, 8, 12], [2, 6, 9, 11, 13], [3, 7, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 2, 6, 9, 13], [3, 5, 7, 10, 14], [4, 8, 11, 12, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 9, 12], [6, 10, 13, 14, 15]]
[[1, 4, 5, 9, 12], [2, 6, 8, 10, 13], [3, 7, 11, 14, 15]]

1 2 6 10 13 
3 5 8 11 14 
4 7 9 12 15 
151

[[1, 4, 7, 9, 12], [2, 5, 8, 11, 13], [3, 6, 10, 14, 15]]
[[1, 2, 3, 7, 11], [4, 6, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 5, 8, 13], [3, 6, 9, 10, 14], [4, 7, 11, 12, 15]]
[[1, 3, 4, 8, 12], [2, 5, 7, 10, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 9, 13], [2, 6, 8, 11, 14], [3, 7, 10, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 4, 5, 8, 11], [2, 6, 9, 12, 13], [3, 7, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 6, 9, 12], [3, 5, 7, 10, 14], [4, 8, 11, 13, 15]]
[[1, 4, 7, 8, 12], [2, 5, 9, 11, 14], [3, 6, 10, 13, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 10, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 9, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 7, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 6, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 3, 6, 10, 13], [2, 5, 7, 11, 14], [4, 8, 9, 12, 15]]
[[1, 3, 5, 8, 12], [2, 6, 9, 11, 13], [4, 7, 10, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 6, 9, 13], [3, 4, 7, 10, 14], [5, 8, 11, 12, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 4, 6, 9, 13], [2, 5, 8, 10, 14], [3, 7, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 6, 9, 11, 14], [4, 8, 12, 13, 15]]
[[1, 4, 5, 9, 12], [2, 6, 7, 10, 13], [3, 8, 11, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 10, 12], [5, 9, 13, 14, 15]]

1 2 6 7 12 
3 4 9 11 14 
5 8 10 13 15 
54

[[1, 3, 6, 8, 11], [2, 5, 7, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 11, 12], [8, 9, 13, 14, 15]]

1 2 6 7 13 
3 4 8 11 14 
5 9 10 12 15 
152

[[1, 4, 6, 7, 11], [2, 5, 8, 12, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 10, 13], [5, 11, 12, 14, 15]]
[[1, 4, 5, 9, 10], [2, 6, 7, 11, 14], [3, 8, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 10, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 6, 9, 12], [2, 5, 7, 11, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 8, 13], [3, 5, 7, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 4, 7, 13], [3, 6, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 10, 13], [3, 9, 12, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 9, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 5, 9, 11, 14], [4, 7, 10, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 3, 7, 9], [4, 6, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 8, 13], [2, 5, 9, 10, 14], [6, 7, 11, 12, 15]]
[[1, 2, 4, 5, 11], [3, 6, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 11, 12], [8, 9, 13, 14, 15]]

1 2 6 7 13 
3 4 9 11 14 
5 8 10 12 15 
153

[[1, 4, 6, 8, 11], [2, 5, 7, 12, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 5, 6, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 4, 5, 9, 10], [2, 6, 7, 12, 14], [3, 8, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 3, 6, 9, 11], [2, 5, 7, 12, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 9, 11, 14], [5, 7, 10, 13, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 8, 13], [2, 4, 9, 10, 14], [6, 7, 11, 12, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 10, 11, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 11, 12], [8, 9, 13, 14, 15]]

1 2 6 7 13 
3 5 8 11 14 
4 9 10 12 15 
151

[[1, 4, 6, 7, 12], [2, 5, 8, 11, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 5, 8, 13], [3, 6, 7, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 10, 14], [5, 11, 12, 13, 15]]
[[1, 4, 5, 9, 10], [2, 6, 8, 11, 14], [3, 7, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 11], [3, 7, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 9, 10, 12], [3, 7, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 11, 13], [5, 9, 10, 14, 15]]
[[1, 2, 6, 9, 12], [3, 5, 7, 11, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 8, 13], [3, 5, 7, 9, 14], [6, 10, 11, 12, 15]]
[[1, 2, 3, 7, 13], [4, 6, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 10, 12], [3, 9, 13, 14, 15]]
[[1, 4, 5, 6, 10], [2, 7, 9, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 5, 9, 11, 13], [4, 7, 10, 14, 15]]
[[1, 2, 6, 7, 11], [3, 5, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 3, 9, 13], [4, 6, 7, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 9, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 9, 13], [2, 5, 8, 10, 14], [6, 7, 11, 12, 15]]
[[1, 3, 4, 5, 11], [2, 6, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 9, 10, 13], [3, 8, 11, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 10, 12], [8, 9, 13, 14, 15]]

1 2 6 7 13 
3 5 9 11 14 
4 8 10 12 15 
152

[[1, 4, 6, 8, 12], [2, 5, 7, 11, 13], [3, 9, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 6, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 5, 7, 13], [3, 6, 8, 9, 14], [4, 10, 11, 12, 15]]
[[1, 3, 4, 8, 9], [2, 5, 7, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 10, 14], [5, 11, 12, 13, 15]]
[[1, 4, 5, 9, 10], [2, 6, 8, 12, 14], [3, 7, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 2, 5, 6, 11], [3, 7, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 9, 11, 12], [3, 7, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 11, 14], [5, 9, 10, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 7, 12, 13], [4, 8, 10, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 10, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 7, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 9, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 9, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 5, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 3, 9, 13], [4, 5, 7, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 4, 8, 12], [3, 6, 7, 9, 13], [5, 10, 11, 14, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 9, 13], [2, 4, 8, 10, 14], [6, 7, 11, 12, 15]]
[[1, 3, 4, 5, 11], [2, 6, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 9, 11, 14], [7, 8, 12, 13, 15]]
[[1, 4, 5, 6, 12], [2, 7, 8, 10, 13], [3, 9, 11, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 10, 12], [8, 9, 13, 14, 15]]

1 2 6 8 13 
3 4 7 11 14 
5 9 10 12 15 
153

[[1, 4, 6, 7, 11], [2, 5, 9, 12, 13], [3, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 4, 5, 9, 11], [2, 6, 7, 10, 14], [3, 8, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 3, 6, 9, 12], [2, 5, 7, 11, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 5, 9, 11, 14], [4, 7, 10, 13, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 8, 13], [2, 6, 9, 10, 14], [5, 7, 11, 12, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 7, 12], [2, 6, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 11, 12], [7, 9, 13, 14, 15]]

1 2 6 8 13 
3 4 9 10 14 
5 7 11 12 15 
153

[[1, 4, 5, 9, 11], [2, 6, 7, 12, 13], [3, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 9, 10], [2, 5, 7, 12, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 9, 11, 14], [6, 7, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 9, 13], [4, 10, 11, 14, 15]]

1 2 6 8 13 
3 4 9 11 14 
5 7 10 12 15 
152

[[1, 4, 6, 9, 11], [2, 5, 7, 12, 13], [3, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 4, 5, 9, 11], [2, 6, 7, 12, 14], [3, 8, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 10, 13], [4, 9, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 7, 13], [2, 4, 9, 11, 14], [5, 8, 10, 12, 15]]
[[1, 3, 6, 9, 11], [2, 5, 7, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 12], [3, 6, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 8, 13], [2, 4, 9, 11, 14], [6, 7, 10, 12, 15]]
[[1, 4, 6, 9, 10], [2, 5, 7, 12, 14], [3, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 10, 13], [4, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 9, 11, 14], [5, 7, 10, 13, 15]]
[[1, 4, 6, 8, 11], [2, 5, 7, 12, 14], [3, 9, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 9, 13], [4, 10, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 8, 13], [2, 4, 9, 10, 14], [5, 7, 11, 12, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 11, 12], [7, 9, 13, 14, 15]]

1 2 6 8 13 
3 5 7 11 14 
4 9 10 12 15 
152

[[1, 4, 6, 7, 12], [2, 5, 9, 11, 13], [3, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 5, 8, 13], [3, 6, 7, 10, 14], [4, 9, 11, 12, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 8, 11, 14], [5, 10, 12, 13, 15]]
[[1, 4, 5, 9, 11], [2, 6, 8, 10, 14], [3, 7, 12, 13, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 4, 5, 8, 11], [2, 6, 9, 10, 13], [3, 7, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 6, 9, 12], [3, 5, 7, 11, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 8, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 5, 9, 11, 13], [4, 7, 10, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 9, 13], [3, 6, 7, 10, 14], [5, 8, 11, 12, 15]]
[[1, 2, 3, 8, 12], [4, 5, 7, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 3, 4, 9, 13], [2, 6, 8, 10, 14], [5, 7, 11, 12, 15]]
[[1, 3, 4, 6, 11], [2, 5, 8, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 4, 5, 7, 12], [2, 6, 9, 10, 13], [3, 8, 11, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 10, 12], [7, 9, 13, 14, 15]]

1 2 6 8 13 
3 5 9 11 14 
4 7 10 12 15 
151

[[1, 4, 6, 9, 12], [2, 5, 7, 11, 13], [3, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 7, 13], [3, 6, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 4, 5, 9, 11], [2, 6, 8, 12, 14], [3, 7, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 6, 12], [3, 7, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 9, 11, 13], [3, 7, 12, 14, 15]]
[[1, 3, 6, 7, 13], [2, 4, 8, 11, 14], [5, 9, 10, 12, 15]]
[[1, 2, 6, 9, 11], [3, 5, 7, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 6, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 4, 8, 13], [2, 5, 9, 11, 14], [6, 7, 10, 12, 15]]
[[1, 4, 6, 9, 10], [2, 5, 7, 11, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 10, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 9, 11, 13], [5, 7, 10, 14, 15]]
[[1, 4, 6, 7, 11], [2, 5, 8, 12, 14], [3, 9, 10, 13, 15]]
[[1, 2, 4, 9, 13], [3, 5, 7, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 9, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 9, 13], [2, 4, 8, 10, 14], [5, 7, 11, 12, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 10, 13], [3, 9, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 10, 12], [7, 9, 13, 14, 15]]

1 2 6 9 12 
3 4 8 11 14 
5 7 10 13 15 
154

[[1, 3, 6, 9, 11], [2, 5, 8, 12, 13], [4, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 9, 10, 14], [5, 8, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 10, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 9, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 7, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 6, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 7, 12], [2, 6, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 4, 5, 8], [3, 7, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 9, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 8, 11], [2, 6, 7, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 11, 12], [6, 9, 13, 14, 15]]

1 2 6 9 13 
3 4 8 10 14 
5 7 11 12 15 
152

[[1, 4, 5, 9, 11], [2, 6, 8, 12, 13], [3, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 9, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 7, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 4, 5, 9, 12], [2, 6, 7, 11, 13], [3, 8, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 6, 13], [3, 7, 8, 10, 14], [4, 9, 11, 12, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 9, 10], [2, 5, 7, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 10, 11, 13], [3, 7, 12, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 9, 11, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 7, 12, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 9, 13], [3, 5, 6, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 9, 11, 14], [6, 7, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 4, 5, 7, 12], [2, 6, 8, 9, 13], [3, 10, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 8, 13], [3, 5, 9, 10, 14], [4, 7, 11, 12, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 8, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 6, 7, 9, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 7, 11, 12], [6, 9, 13, 14, 15]]

1 2 6 9 13 
3 4 8 11 14 
5 7 10 12 15 
153

[[1, 4, 6, 9, 11], [2, 5, 8, 12, 13], [3, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 4, 5, 9, 12], [2, 6, 7, 11, 14], [3, 8, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 9, 11], [2, 5, 7, 10, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 10, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 9, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 7, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 6, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 4, 8, 12], [2, 6, 9, 11, 14], [5, 7, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 8, 13], [2, 5, 9, 10, 14], [4, 7, 11, 12, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 6, 7, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 11, 12], [6, 9, 13, 14, 15]]

1 2 6 9 13 
3 5 7 11 14 
4 8 10 12 15 
151

[[1, 4, 6, 8, 12], [2, 5, 9, 11, 13], [3, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 5, 9, 13], [3, 6, 7, 10, 14], [4, 8, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 11, 14], [5, 9, 12, 13, 15]]
[[1, 4, 5, 9, 12], [2, 6, 8, 10, 14], [3, 7, 11, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 9, 10, 13], [3, 7, 11, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 9, 13], [6, 10, 11, 14, 15]]
[[1, 3, 5, 9, 13], [2, 6, 8, 10, 14], [4, 7, 11, 12, 15]]
[[1, 2, 4, 6, 10], [3, 7, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 10, 12], [6, 9, 13, 14, 15]]

1 2 6 9 13 
3 5 8 10 14 
4 7 11 12 15 
151

[[1, 4, 5, 9, 12], [2, 6, 8, 11, 13], [3, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 6, 13], [3, 7, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 4, 5, 8, 9], [2, 6, 10, 12, 13], [3, 7, 11, 14, 15]]
[[1, 2, 6, 9, 10], [3, 5, 7, 11, 14], [4, 8, 12, 13, 15]]
[[1, 2, 3, 7, 11], [4, 6, 8, 10, 12], [5, 9, 13, 14, 15]]
[[1, 3, 4, 8, 12], [2, 5, 9, 11, 13], [6, 7, 10, 14, 15]]
[[1, 2, 5, 9, 13], [3, 4, 6, 10, 14], [7, 8, 11, 12, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 8, 12], [9, 10, 13, 14, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 9, 13], [3, 10, 11, 14, 15]]

1 2 6 9 13 
3 5 8 11 14 
4 7 10 12 15 
152

[[1, 4, 6, 9, 12], [2, 5, 8, 11, 13], [3, 7, 10, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 7, 13], [3, 6, 9, 10, 14], [4, 8, 11, 12, 15]]
[[1, 3, 4, 8, 11], [2, 5, 7, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 4, 5, 9, 12], [2, 6, 8, 11, 14], [3, 7, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 9, 12, 13], [3, 7, 11, 14, 15]]
[[1, 3, 6, 7, 11], [2, 4, 8, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 7, 10, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 11, 12], [6, 10, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 6, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 10, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 9, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 7, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 6, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 10, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 3, 4, 8, 12], [2, 6, 9, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 8, 12, 14], [5, 9, 10, 13, 15]]
[[1, 2, 5, 9, 13], [3, 4, 7, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 5, 8, 12], [3, 4, 7, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 9, 13], [2, 5, 8, 10, 14], [4, 7, 11, 12, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 9, 11, 14], [5, 8, 12, 13, 15]]
[[1, 4, 5, 8, 12], [2, 6, 7, 10, 13], [3, 9, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 10, 12], [6, 9, 13, 14, 15]]

1 2 7 10 13 
3 4 8 11 14 
5 6 9 12 15 
151

[[1, 4, 7, 10, 11], [2, 5, 8, 12, 13], [3, 6, 9, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 9, 12, 14], [6, 7, 10, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 9, 11, 14], [4, 7, 10, 13, 15]]
[[1, 3, 4, 9, 12], [2, 5, 6, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 10, 12, 13], [5, 8, 11, 14, 15]]
[[1, 4, 5, 10, 13], [2, 6, 7, 11, 14], [3, 8, 9, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 6, 9, 12], [7, 10, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 6, 9, 12], [2, 5, 7, 10, 13], [4, 8, 11, 14, 15]]
[[1, 4, 7, 8, 13], [2, 5, 9, 10, 14], [3, 6, 11, 12, 15]]
[[1, 2, 5, 8, 9], [3, 6, 10, 11, 14], [4, 7, 12, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 7, 11, 12], [5, 8, 13, 14, 15]]

1 2 7 10 13 
3 5 8 11 14 
4 6 9 12 15 
150

[[1, 4, 7, 10, 12], [2, 5, 8, 11, 13], [3, 6, 9, 14, 15]]
[[1, 2, 3, 8, 11], [4, 6, 9, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 5, 8, 13], [3, 6, 9, 11, 14], [4, 7, 10, 12, 15]]
[[1, 3, 4, 9, 12], [2, 5, 7, 10, 13], [6, 8, 11, 14, 15]]
[[1, 2, 3, 6, 9], [4, 7, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 4, 5, 10, 13], [2, 6, 8, 11, 14], [3, 7, 9, 12, 15]]
[[1, 3, 4, 7, 10], [2, 5, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 6, 11], [3, 7, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 4, 5, 8, 11], [2, 6, 9, 12, 14], [3, 7, 10, 13, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 2, 6, 9, 12], [3, 5, 7, 10, 13], [4, 8, 11, 14, 15]]
[[1, 4, 7, 8, 13], [2, 5, 9, 11, 14], [3, 6, 10, 12, 15]]
[[1, 3, 7, 10, 13], [2, 4, 8, 11, 14], [5, 6, 9, 12, 15]]
[[1, 2, 5, 8, 9], [3, 6, 10, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 9, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 7, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 6, 10, 13], [7, 8, 11, 14, 15]]
[[1, 4, 7, 10, 11], [2, 5, 8, 12, 14], [3, 6, 9, 13, 15]]
[[1, 4, 6, 10, 13], [2, 5, 7, 11, 14], [3, 8, 9, 12, 15]]
[[1, 2, 5, 8, 12], [3, 6, 9, 11, 13], [4, 7, 10, 14, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 3, 6, 9, 13], [2, 4, 7, 10, 14], [5, 8, 11, 12, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 9, 13], [5, 10, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 11, 14], [6, 9, 12, 13, 15]]
[[1, 4, 7, 9, 13], [2, 5, 8, 10, 14], [3, 6, 11, 12, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 9, 12], [7, 10, 13, 14, 15]]
[[1, 2, 5, 8, 10], [3, 6, 9, 11, 14], [4, 7, 12, 13, 15]]
[[1, 4, 6, 9, 12], [2, 5, 7, 10, 13], [3, 8, 11, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 7, 10, 12], [5, 8, 13, 14, 15]]

1 2 7 8 13 
3 4 9 10 14 
5 6 11 12 15 
152

[[1, 4, 5, 10, 11], [2, 6, 7, 12, 13], [3, 8, 9, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 10, 11, 14], [6, 7, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 6, 11, 12], [7, 8, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 8, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 7, 8], [2, 5, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 6, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 6, 9, 10], [2, 5, 7, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 7, 10, 11], [3, 4, 8, 12, 13], [5, 6, 9, 14, 15]]
[[1, 2, 3, 8, 12], [4, 5, 9, 11, 14], [6, 7, 10, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 10, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 11, 14], [8, 9, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 8, 12], [9, 10, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 9, 13], [4, 10, 11, 14, 15]]

1 2 7 8 13 
3 4 9 11 14 
5 6 10 12 15 
151

[[1, 4, 6, 10, 11], [2, 5, 7, 12, 13], [3, 8, 9, 14, 15]]
[[1, 2, 3, 8, 9], [4, 5, 10, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 11, 14], [4, 9, 10, 13, 15]]
[[1, 3, 4, 9, 10], [2, 5, 6, 11, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 12, 13], [5, 10, 11, 14, 15]]
[[1, 4, 5, 10, 11], [2, 6, 7, 12, 14], [3, 8, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 6, 12], [3, 7, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 9, 11], [7, 12, 13, 14, 15]]
[[1, 3, 6, 7, 13], [2, 4, 8, 9, 14], [5, 10, 11, 12, 15]]
[[1, 3, 6, 9, 11], [2, 5, 7, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 10, 14], [6, 11, 12, 13, 15]]
[[1, 2, 7, 10, 12], [3, 4, 8, 11, 13], [5, 6, 9, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 8, 13], [4, 5, 9, 11, 14], [6, 7, 10, 12, 15]]
[[1, 4, 6, 9, 10], [2, 5, 7, 11, 12], [3, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 7, 10, 11], [3, 5, 8, 12, 13], [4, 6, 9, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 9, 11, 14], [5, 7, 10, 13, 15]]
[[1, 4, 5, 6, 11], [2, 7, 8, 12, 14], [3, 9, 10, 13, 15]]
[[1, 2, 3, 4, 9], [5, 7, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 9, 13], [4, 10, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 8, 13], [2, 4, 9, 10, 14], [5, 6, 11, 12, 15]]
[[1, 2, 5, 6, 11], [3, 4, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 5, 10, 11, 14], [6, 7, 12, 13, 15]]
[[1, 3, 6, 7, 12], [2, 5, 8, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 6, 11, 12], [7, 8, 13, 14, 15]]

1 2 7 8 13 
3 5 9 11 14 
4 6 10 12 15 
150

[[1, 4, 6, 10, 12], [2, 5, 7, 11, 13], [3, 8, 9, 14, 15]]
[[1, 2, 3, 8, 9], [4, 6, 10, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 5, 7, 13], [3, 6, 8, 11, 14], [4, 9, 10, 12, 15]]
[[1, 3, 4, 9, 10], [2, 5, 7, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 4, 5, 10, 11], [2, 6, 8, 12, 14], [3, 7, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 5, 6, 12], [3, 7, 9, 11, 13], [4, 8, 10, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 9, 11, 14], [3, 7, 12, 13, 15]]
[[1, 3, 6, 7, 13], [2, 4, 8, 10, 14], [5, 9, 11, 12, 15]]
[[1, 2, 6, 9, 11], [3, 5, 7, 10, 12], [4, 8, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 7, 10, 12], [2, 4, 8, 11, 13], [5, 6, 9, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 6, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 8, 13], [3, 5, 9, 11, 14], [6, 7, 10, 12, 15]]
[[1, 4, 6, 9, 10], [2, 5, 7, 11, 13], [3, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 10, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 7, 10, 11], [3, 5, 8, 12, 14], [4, 6, 9, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 8, 12], [4, 6, 9, 11, 13], [5, 7, 10, 14, 15]]
[[1, 4, 5, 7, 11], [2, 6, 8, 12, 14], [3, 9, 10, 13, 15]]
[[1, 3, 4, 9, 13], [2, 5, 7, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 9, 13], [4, 10, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 9, 13], [2, 4, 8, 10, 14], [5, 6, 11, 12, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 9, 11, 14], [6, 7, 12, 13, 15]]
[[1, 4, 6, 7, 12], [2, 5, 8, 10, 13], [3, 9, 11, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 6, 10, 12], [7, 8, 13, 14, 15]]

1 2 7 9 12 
3 4 8 11 14 
5 6 10 13 15 
153

[[1, 3, 6, 10, 11], [2, 5, 8, 12, 13], [4, 7, 9, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 9, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 6, 10, 14], [7, 8, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 7, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 11, 12], [8, 9, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 8, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 9, 12], [8, 11, 13, 14, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 3, 4, 8, 9], [2, 6, 10, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 5, 9, 10], [3, 4, 7, 11, 12], [6, 8, 13, 14, 15]]

1 2 7 9 13 
3 4 8 11 14 
5 6 10 12 15 
152

[[1, 4, 6, 10, 11], [2, 5, 8, 12, 13], [3, 7, 9, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 9, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 9, 11, 14], [4, 8, 10, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 6, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 4, 5, 10, 12], [2, 6, 7, 11, 14], [3, 8, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 7, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 6, 9, 12], [7, 11, 13, 14, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 9, 14], [5, 10, 11, 13, 15]]
[[1, 3, 6, 9, 11], [2, 5, 7, 10, 13], [4, 8, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 7, 10, 12], [3, 4, 8, 11, 14], [5, 6, 9, 13, 15]]
[[1, 3, 5, 8, 9], [2, 6, 10, 11, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 9, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 7, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 5, 6, 10, 14], [7, 8, 11, 13, 15]]
[[1, 3, 7, 10, 11], [2, 5, 8, 12, 13], [4, 6, 9, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 8, 12], [3, 6, 9, 11, 14], [5, 7, 10, 13, 15]]
[[1, 3, 5, 6, 11], [2, 7, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 2, 3, 5, 9], [4, 7, 10, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 9, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 8, 13], [2, 5, 9, 10, 14], [4, 6, 11, 12, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 10, 11, 14], [5, 7, 12, 13, 15]]
[[1, 3, 6, 8, 12], [2, 5, 7, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 7, 11, 12], [6, 8, 13, 14, 15]]

1 2 7 9 13 
3 5 8 11 14 
4 6 10 12 15 
151

[[1, 4, 6, 10, 12], [2, 5, 8, 11, 13], [3, 7, 9, 14, 15]]
[[1, 2, 3, 8, 10], [4, 6, 9, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 5, 7, 13], [3, 6, 9, 11, 14], [4, 8, 10, 12, 15]]
[[1, 3, 4, 9, 11], [2, 5, 7, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 7, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 4, 5, 10, 12], [2, 6, 8, 11, 14], [3, 7, 9, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 5, 6, 11], [3, 7, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 9, 12, 14], [3, 7, 11, 13, 15]]
[[1, 3, 6, 7, 12], [2, 4, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 6, 9, 11], [3, 5, 7, 10, 13], [4, 8, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 7, 10, 12], [2, 4, 8, 11, 14], [5, 6, 9, 13, 15]]
[[1, 3, 5, 8, 9], [2, 6, 10, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 9, 12, 13], [6, 7, 10, 14, 15]]
[[1, 2, 6, 9, 10], [3, 4, 7, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 6, 10, 14], [7, 8, 11, 13, 15]]
[[1, 3, 7, 10, 11], [2, 5, 8, 12, 14], [4, 6, 9, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 8, 12], [3, 6, 9, 11, 13], [5, 7, 10, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 12, 14], [4, 9, 10, 13, 15]]
[[1, 3, 5, 9, 13], [2, 4, 7, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 9, 13], [5, 10, 11, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 7, 9, 13], [2, 5, 8, 10, 14], [4, 6, 11, 12, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 9, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 9, 11, 14], [5, 7, 12, 13, 15]]
[[1, 4, 6, 8, 12], [2, 5, 7, 10, 13], [3, 9, 11, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 7, 10, 12], [6, 8, 13, 14, 15]]

1 3 4 10 12 
2 6 8 11 14 
5 7 9 13 15 
153

[[1, 3, 7, 9, 11], [2, 5, 8, 10, 14], [4, 6, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 7, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 9, 11, 12], [5, 7, 13, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 5, 9, 11], [2, 4, 7, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 7, 9, 10], [2, 5, 8, 12, 14], [4, 6, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 6, 9, 10, 13], [5, 7, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 9, 12, 14], [4, 7, 11, 13, 15]]
[[1, 3, 5, 9, 12], [2, 4, 7, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 9, 11], [3, 6, 7, 10, 13], [5, 8, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 10, 12], [2, 4, 8, 11, 14], [6, 7, 9, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 9, 12, 14], [5, 7, 11, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 3, 9, 11], [4, 5, 7, 10, 13], [6, 8, 12, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 9, 13], [5, 11, 12, 14, 15]]

1 3 4 10 13 
2 5 8 11 14 
6 7 9 12 15 
151

[[1, 4, 7, 9, 10], [2, 5, 8, 11, 14], [3, 6, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 6, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 9, 10, 12], [4, 7, 13, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 7, 11, 13], [5, 8, 10, 14, 15]]
[[1, 4, 6, 7, 13], [2, 5, 8, 11, 14], [3, 9, 10, 12, 15]]
[[1, 2, 4, 7, 13], [3, 5, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 10, 13], [5, 11, 12, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 11, 13], [3, 9, 12, 14, 15]]
[[1, 2, 6, 8, 11], [3, 5, 9, 12, 14], [4, 7, 10, 13, 15]]
[[1, 2, 3, 9, 12], [4, 6, 7, 10, 13], [5, 8, 11, 14, 15]]

1 3 4 10 13 
2 6 8 11 14 
5 7 9 12 15 
152

[[1, 4, 7, 9, 11], [2, 5, 8, 10, 14], [3, 6, 12, 13, 15]]
[[1, 2, 4, 5, 11], [3, 7, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 9, 11, 12], [4, 7, 13, 14, 15]]
[[1, 3, 5, 6, 12], [2, 4, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 7, 12, 13], [5, 8, 10, 14, 15]]
[[1, 4, 6, 7, 13], [2, 5, 9, 11, 14], [3, 8, 10, 12, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 4, 7, 9, 10], [2, 5, 8, 12, 14], [3, 6, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 8, 11], [3, 6, 9, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 5, 9, 12, 14], [4, 7, 10, 13, 15]]
[[1, 3, 6, 9, 12], [2, 4, 7, 11, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 7, 10, 13], [5, 8, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 10, 13], [2, 4, 8, 11, 14], [6, 7, 9, 12, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 5, 7, 12], [2, 4, 6, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 4, 6, 8, 13], [2, 5, 7, 11, 14], [3, 9, 10, 12, 15]]
[[1, 2, 6, 8, 11], [3, 4, 9, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 3, 9, 12], [4, 5, 7, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 9, 13], [5, 11, 12, 14, 15]]

1 3 4 5 12 
2 7 8 11 14 
6 9 10 13 15 
155

[[1, 3, 6, 7, 10], [2, 5, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 12, 13], [7, 10, 11, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 10, 14], [8, 11, 12, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 10, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 6, 12, 13], [7, 8, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 10, 14], [8, 9, 12, 13, 15]]
[[1, 2, 6, 9, 10], [3, 4, 8, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 8, 12, 13], [6, 7, 10, 14, 15]]
[[1, 3, 4, 7, 8], [2, 6, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 4, 10, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 6, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 4, 5, 8], [2, 6, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 5, 6, 9], [3, 4, 7, 8, 13], [10, 11, 12, 14, 15]]

1 3 4 5 12 
2 7 9 11 14 
6 8 10 13 15 
154

[[1, 3, 6, 8, 10], [2, 5, 7, 9, 14], [4, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 8, 10], [2, 4, 9, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 6, 12, 13], [7, 8, 10, 14, 15]]
[[1, 3, 5, 8, 9], [2, 6, 7, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 9, 10], [3, 4, 8, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 3, 4, 8, 12], [2, 5, 6, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 10, 11, 14], [4, 8, 12, 13, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 8, 12, 13], [6, 7, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 9, 10, 14], [7, 8, 11, 13, 15]]
[[1, 2, 6, 8, 9], [3, 4, 10, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 7, 12, 14], [6, 8, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 8, 13], [10, 11, 12, 14, 15]]

1 3 4 5 13 
2 6 7 11 14 
8 9 10 12 15 
152

[[1, 4, 6, 7, 8], [2, 5, 9, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 9, 13], [10, 11, 12, 14, 15]]
[[1, 3, 6, 9, 10], [2, 4, 8, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 4, 10, 11], [3, 5, 7, 12, 13], [6, 8, 9, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 7, 8, 10], [3, 4, 9, 11, 13], [5, 6, 12, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 8, 12, 14], [6, 7, 10, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 9, 10, 13], [7, 8, 11, 14, 15]]

1 3 4 5 13 
2 6 8 11 14 
7 9 10 12 15 
151

[[1, 4, 6, 7, 9], [2, 5, 8, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 8, 10, 12], [5, 7, 13, 14, 15]]
[[1, 4, 6, 7, 8], [2, 5, 9, 11, 14], [3, 10, 12, 13, 15]]
[[1, 2, 4, 10, 12], [3, 5, 7, 11, 13], [6, 8, 9, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 3, 5, 13], [4, 6, 8, 11, 14], [7, 9, 10, 12, 15]]
[[1, 3, 6, 9, 10], [2, 4, 8, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 10, 11], [3, 5, 7, 12, 14], [6, 8, 9, 13, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 11, 13], [7, 9, 10, 14, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 11, 14], [3, 10, 12, 13, 15]]
[[1, 3, 4, 6, 13], [2, 5, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 2, 6, 7, 9], [3, 5, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 3, 7, 8, 10], [2, 4, 9, 11, 13], [5, 6, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 8, 12, 14], [6, 7, 10, 13, 15]]
[[1, 4, 6, 7, 9], [2, 5, 8, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 7, 8, 10], [3, 5, 9, 11, 13], [4, 6, 12, 14, 15]]
[[1, 3, 4, 6, 13], [2, 5, 7, 11, 14], [8, 9, 10, 12, 15]]
[[1, 2, 3, 9, 11], [4, 6, 8, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 9, 13], [10, 11, 12, 14, 15]]

1 3 4 5 13 
2 6 9 11 14 
7 8 10 12 15 
152

[[1, 4, 6, 8, 9], [2, 5, 7, 10, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 7, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 9, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 9, 10, 12], [5, 7, 13, 14, 15]]
[[1, 4, 6, 7, 8], [2, 5, 9, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 7, 11, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 5, 13], [4, 6, 8, 10, 14], [7, 9, 11, 12, 15]]
[[1, 3, 6, 9, 10], [2, 4, 8, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 9, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 5, 7], [2, 6, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 11, 13], [7, 9, 10, 14, 15]]
[[1, 4, 5, 6, 8], [2, 7, 9, 11, 13], [3, 10, 12, 14, 15]]
[[1, 2, 4, 6, 13], [3, 5, 7, 9, 14], [8, 10, 11, 12, 15]]
[[1, 2, 6, 7, 9], [3, 5, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 10, 14], [9, 11, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 7, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 4, 9, 11], [2, 5, 8, 12, 14], [6, 7, 10, 13, 15]]
[[1, 4, 5, 7, 9], [2, 6, 8, 10, 12], [3, 11, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 5, 9, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 5, 6, 13], [2, 4, 7, 11, 14], [8, 9, 10, 12, 15]]
[[1, 2, 3, 9, 11], [4, 6, 7, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 7, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 9, 13], [10, 11, 12, 14, 15]]

1 3 4 5 13 
2 7 8 11 14 
6 9 10 12 15 
154

[[1, 4, 6, 7, 10], [2, 5, 8, 9, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 10, 11, 12], [5, 7, 13, 14, 15]]
[[1, 4, 6, 7, 8], [2, 5, 10, 11, 14], [3, 9, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 7, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 8, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 3, 4, 5, 7], [2, 8, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 8, 14], [9, 11, 12, 13, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 8, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 9, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 7, 13], [2, 5, 6, 11, 14], [8, 9, 10, 12, 15]]
[[1, 2, 3, 9, 11], [4, 5, 6, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 8, 13], [10, 11, 12, 14, 15]]

1 3 4 5 13 
2 7 9 11 14 
6 8 10 12 15 
153

[[1, 4, 6, 8, 10], [2, 5, 7, 9, 14], [3, 11, 12, 13, 15]]
[[1, 2, 4, 5, 6], [3, 8, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 3, 5, 6, 7], [2, 4, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 9, 11, 12], [5, 7, 13, 14, 15]]
[[1, 4, 6, 7, 8], [2, 5, 10, 12, 14], [3, 9, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 7, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 8, 9], [3, 6, 7, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 9, 10], [2, 4, 8, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 3, 4, 6], [5, 7, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 9, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 4, 5, 7], [2, 8, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 11, 14], [7, 9, 10, 13, 15]]
[[1, 2, 5, 6, 8], [3, 4, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 12, 13], [8, 10, 11, 14, 15]]
[[1, 3, 6, 7, 9], [2, 5, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 8, 14], [9, 11, 12, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 7, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 9, 11], [10, 12, 13, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 8, 12, 14], [6, 7, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 9, 10, 13], [7, 8, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 9, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 5, 7, 13], [2, 4, 6, 11, 14], [8, 9, 10, 12, 15]]
[[1, 2, 3, 9, 11], [4, 5, 7, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 12, 14], [9, 10, 11, 13, 15]]
[[1, 2, 3, 4, 12], [5, 6, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 8, 13], [10, 11, 12, 14, 15]]

1 3 4 6 12 
2 7 8 11 14 
5 9 10 13 15 
154

[[1, 3, 6, 7, 11], [2, 5, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 10, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 6, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 6, 9, 11], [3, 4, 8, 12, 13], [5, 7, 10, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 6, 10], [3, 4, 7, 8, 13], [9, 11, 12, 14, 15]]

1 3 4 6 13 
2 5 8 11 14 
7 9 10 12 15 
152

[[1, 4, 6, 7, 9], [2, 5, 8, 11, 14], [3, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 8, 10, 13], [5, 7, 12, 14, 15]]
[[1, 2, 4, 10, 12], [3, 5, 7, 11, 14], [6, 8, 9, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 4, 6, 12], [2, 5, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 11, 14], [4, 10, 12, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 7, 8, 10], [2, 5, 9, 11, 13], [4, 6, 12, 14, 15]]
[[1, 2, 4, 9, 11], [3, 6, 8, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 9, 10, 13], [6, 8, 11, 14, 15]]

1 3 4 6 13 
2 5 9 11 14 
7 8 10 12 15 
153

[[1, 4, 6, 8, 9], [2, 5, 7, 11, 14], [3, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 6, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 9, 12], [4, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 9, 10, 13], [5, 7, 12, 14, 15]]
[[1, 4, 6, 7, 9], [2, 5, 8, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 7, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 8, 10, 14], [5, 7, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 9, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 6, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 12, 13], [7, 9, 10, 14, 15]]
[[1, 3, 5, 6, 8], [2, 7, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 9, 14], [8, 10, 11, 13, 15]]
[[1, 2, 6, 7, 9], [3, 4, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 10, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 7, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 9, 11], [2, 6, 8, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 9, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 5, 6, 13], [2, 4, 8, 11, 14], [7, 9, 10, 12, 15]]
[[1, 2, 4, 9, 11], [3, 6, 7, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 3, 5, 12], [4, 7, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 10, 13], [9, 11, 12, 14, 15]]

1 3 4 6 13 
2 7 9 11 14 
5 8 10 12 15 
152

[[1, 4, 6, 8, 11], [2, 5, 7, 9, 14], [3, 10, 12, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 10, 12], [4, 11, 13, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 9, 11, 13], [5, 7, 12, 14, 15]]
[[1, 4, 6, 7, 9], [2, 5, 10, 12, 14], [3, 8, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 7, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 8, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 8, 13], [2, 4, 6, 11, 14], [7, 9, 10, 12, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 8, 13], [9, 11, 12, 14, 15]]

1 3 4 7 12 
2 5 6 11 14 
8 9 10 13 15 
155

[[1, 3, 6, 7, 8], [2, 5, 10, 11, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 7, 8, 14], [10, 11, 12, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 8, 12, 13], [6, 7, 11, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 9, 10, 14], [7, 8, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 10, 11, 12], [8, 9, 13, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 10, 11, 12], [5, 7, 13, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 3, 9, 10], [4, 5, 7, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 8, 14], [10, 11, 12, 13, 15]]
[[1, 2, 3, 4, 11], [5, 6, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 10, 11], [5, 12, 13, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 9, 11, 12], [6, 7, 13, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 9, 11], [4, 5, 6, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 3, 7, 8], [4, 5, 6, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 8, 9], [2, 6, 7, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 3, 4, 5], [6, 7, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 5, 9, 10], [3, 4, 8, 12, 14], [6, 7, 11, 13, 15]]
[[1, 3, 4, 5, 6], [2, 8, 9, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 10, 13], [8, 11, 12, 14, 15]]

1 3 4 7 12 
2 6 9 10 14 
5 8 11 13 15 
155

[[1, 3, 5, 8, 11], [2, 6, 7, 10, 14], [4, 9, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 10, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 11, 12], [5, 10, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 3, 5, 7, 10], [2, 4, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 6, 9, 13], [8, 11, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 6, 11], [4, 5, 8, 9, 13], [7, 10, 12, 14, 15]]

1 3 4 7 13 
2 6 9 11 14 
5 8 10 12 15 
153

[[1, 4, 6, 8, 11], [2, 5, 7, 10, 14], [3, 9, 12, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 9, 12, 13], [5, 7, 11, 14, 15]]
[[1, 4, 6, 7, 10], [2, 5, 9, 12, 14], [3, 8, 11, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 7, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 10, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 8, 11, 14], [5, 7, 10, 13, 15]]
[[1, 3, 4, 6, 11], [2, 7, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 10, 14], [7, 9, 12, 13, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 3, 4, 7, 9], [2, 6, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 9, 14], [5, 10, 12, 13, 15]]
[[1, 3, 6, 9, 11], [2, 5, 8, 12, 14], [4, 7, 10, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 4, 7, 12], [3, 6, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 9, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 5, 8, 13], [2, 4, 7, 11, 14], [6, 9, 10, 12, 15]]
[[1, 2, 5, 9, 11], [3, 4, 7, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 9, 13], [8, 11, 12, 14, 15]]

1 3 4 8 12 
2 6 7 11 14 
5 9 10 13 15 
156

[[1, 3, 6, 7, 11], [2, 5, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 9, 13], [7, 11, 12, 14, 15]]

1 3 4 8 13 
2 5 6 11 14 
7 9 10 12 15 
153

[[1, 4, 6, 7, 9], [2, 5, 10, 11, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 7, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 8, 12, 13], [5, 7, 10, 14, 15]]
[[1, 4, 6, 7, 11], [2, 5, 8, 9, 14], [3, 10, 12, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 9, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 10, 12], [4, 11, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 10, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 7, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 8, 13], [9, 11, 12, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 4, 5, 7], [3, 8, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 9, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 6, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 5, 12], [4, 6, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 7, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 4, 6, 13], [2, 7, 8, 11, 14], [5, 9, 10, 12, 15]]
[[1, 2, 6, 9, 11], [3, 4, 8, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 9, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 9, 10, 13], [7, 11, 12, 14, 15]]

1 3 4 8 13 
2 5 7 11 14 
6 9 10 12 15 
152

[[1, 4, 6, 7, 10], [2, 5, 9, 11, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 8, 12, 14], [7, 10, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 7, 10, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 7, 9, 13], [8, 11, 12, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 8, 11, 13], [5, 7, 10, 14, 15]]
[[1, 4, 6, 7, 11], [2, 5, 8, 10, 14], [3, 9, 12, 13, 15]]
[[1, 2, 4, 7, 13], [3, 5, 9, 10, 14], [6, 8, 11, 12, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 11, 12], [4, 10, 13, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 10, 11, 14], [7, 9, 12, 13, 15]]
[[1, 3, 6, 8, 9], [2, 4, 10, 12, 13], [5, 7, 11, 14, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 7, 11, 14], [6, 8, 12, 13, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 12, 13], [3, 9, 11, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 8, 10, 12], [7, 9, 13, 14, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 9, 14], [4, 10, 12, 13, 15]]
[[1, 3, 4, 6, 12], [2, 7, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 6, 8, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 5, 7, 13], [3, 4, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 3, 4, 8, 10], [2, 5, 9, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 2, 5, 9, 11], [3, 4, 6, 12, 14], [7, 8, 10, 13, 15]]
[[1, 3, 4, 7, 9], [2, 5, 6, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 3, 6, 12], [4, 5, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 4, 5, 8, 10], [2, 6, 7, 11, 13], [3, 9, 12, 14, 15]]
[[1, 3, 4, 7, 13], [2, 6, 8, 11, 14], [5, 9, 10, 12, 15]]
[[1, 2, 6, 9, 11], [3, 5, 8, 12, 14], [4, 7, 10, 13, 15]]
[[1, 2, 4, 5, 8], [3, 7, 9, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 6, 9, 10, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 6, 9], [2, 4, 8, 10, 13], [7, 11, 12, 14, 15]]

1 3 4 8 13 
2 6 7 11 14 
5 9 10 12 15 
155

[[1, 4, 6, 7, 11], [2, 5, 9, 10, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 10, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 4, 6, 9], [2, 7, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 9, 14], [7, 10, 12, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 6, 10, 13], [8, 9, 11, 14, 15]]

1 3 4 9 12 
2 5 6 11 14 
7 8 10 13 15 
153

[[1, 3, 6, 8, 9], [2, 5, 10, 11, 14], [4, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 4, 9, 10], [3, 6, 7, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 3, 5, 10, 11], [2, 4, 8, 12, 13], [6, 7, 9, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 9, 11, 14], [7, 8, 10, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 10, 11, 14], [5, 7, 12, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 7, 11, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 9, 10], [4, 5, 7, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 8, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 10, 11], [2, 6, 8, 12, 13], [5, 7, 9, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 7, 9, 13], [4, 11, 12, 14, 15]]
[[1, 2, 4, 5, 12], [3, 7, 9, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 7, 9, 11], [3, 4, 8, 10, 14], [5, 6, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 8, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 9, 11, 12], [6, 7, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 5, 9, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 6, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 6, 8, 9], [2, 5, 7, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 7, 9, 10], [3, 4, 8, 12, 14], [5, 6, 11, 13, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 9, 10, 13], [6, 7, 12, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 9, 10, 13], [6, 11, 12, 14, 15]]

1 3 4 9 12 
2 6 7 11 14 
5 8 10 13 15 
155

[[1, 3, 6, 8, 11], [2, 5, 9, 10, 14], [4, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 9, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 7, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 3, 4, 8, 11], [2, 6, 9, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 7, 10, 14], [5, 8, 12, 13, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 9, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 7, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 9, 13], [6, 11, 12, 14, 15]]

1 3 4 9 12 
2 6 8 11 14 
5 7 10 13 15 
154

[[1, 3, 6, 9, 11], [2, 5, 8, 10, 14], [4, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 7, 9, 12, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 9, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 10, 14], [7, 9, 12, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 12, 13], [6, 9, 10, 14, 15]]
[[1, 2, 4, 6, 7], [3, 5, 9, 11, 12], [8, 10, 13, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 9, 14], [7, 10, 11, 13, 15]]
[[1, 3, 5, 7, 8], [2, 6, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 9, 10, 13], [8, 11, 12, 14, 15]]
[[1, 2, 6, 8, 9], [3, 4, 7, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 8], [2, 7, 10, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 9, 10, 13], [5, 7, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 9, 12, 13], [4, 7, 11, 14, 15]]
[[1, 2, 5, 9, 12], [3, 4, 7, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 9, 11], [3, 6, 7, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 6, 9, 14], [8, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 9, 12, 13], [7, 8, 10, 14, 15]]
[[1, 2, 4, 5, 8], [3, 6, 7, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 10, 14], [8, 9, 11, 13, 15]]
[[1, 3, 5, 6, 9], [2, 7, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 3, 6, 8], [4, 5, 7, 11, 13], [9, 10, 12, 14, 15]]
[[1, 2, 6, 7, 10], [3, 4, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 4, 7, 9], [2, 6, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 7, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 4, 7, 9, 13], [6, 11, 12, 14, 15]]

1 3 4 9 13 
2 5 6 11 14 
7 8 10 12 15 
152

[[1, 4, 6, 8, 9], [2, 5, 10, 11, 14], [3, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 6, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 7, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 3, 6, 10, 11], [2, 4, 8, 12, 13], [5, 7, 9, 14, 15]]
[[1, 4, 6, 7, 12], [2, 5, 8, 9, 14], [3, 10, 11, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 9, 11, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 10, 13], [4, 11, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 10, 11, 14], [5, 7, 12, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 9, 10], [3, 5, 7, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 6, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 10, 11], [2, 6, 8, 12, 13], [4, 7, 9, 14, 15]]
[[1, 3, 6, 8, 11], [2, 5, 7, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 9, 11, 14], [5, 8, 10, 13, 15]]
[[1, 2, 7, 9, 12], [3, 4, 8, 10, 14], [5, 6, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 10, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 9, 11, 13], [6, 7, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 4, 9, 11], [2, 5, 6, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 4, 5, 12], [3, 6, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 5, 7, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 5, 6, 13], [2, 7, 8, 11, 14], [4, 9, 10, 12, 15]]
[[1, 2, 7, 9, 11], [3, 4, 8, 12, 14], [5, 6, 10, 13, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 9, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 10, 13], [6, 11, 12, 14, 15]]

1 3 4 9 13 
2 5 7 11 14 
6 8 10 12 15 
151

[[1, 4, 6, 8, 10], [2, 5, 9, 11, 14], [3, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 7, 10, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 6, 10, 12], [2, 4, 8, 11, 13], [5, 7, 9, 14, 15]]
[[1, 4, 6, 7, 12], [2, 5, 8, 10, 14], [3, 9, 11, 13, 15]]
[[1, 2, 4, 7, 13], [3, 5, 9, 11, 14], [6, 8, 10, 12, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 11, 13], [4, 10, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 8, 9], [2, 4, 10, 12, 14], [5, 7, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 9, 10], [3, 5, 7, 11, 13], [6, 8, 12, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 12, 14], [3, 9, 11, 13, 15]]
[[1, 3, 5, 10, 11], [2, 6, 8, 12, 14], [4, 7, 9, 13, 15]]
[[1, 2, 6, 8, 11], [3, 5, 7, 9, 13], [4, 10, 12, 14, 15]]
[[1, 2, 4, 6, 12], [3, 7, 9, 11, 13], [5, 8, 10, 14, 15]]
[[1, 3, 7, 9, 12], [2, 4, 8, 10, 14], [5, 6, 11, 13, 15]]
[[1, 3, 5, 7, 13], [2, 4, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 4, 8, 10], [3, 5, 9, 11, 13], [6, 7, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 9, 11], [2, 4, 6, 12, 14], [7, 8, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 4, 6, 12], [3, 5, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 4, 6, 8, 10], [2, 5, 7, 11, 13], [3, 9, 12, 14, 15]]
[[1, 3, 5, 7, 13], [2, 6, 8, 11, 14], [4, 9, 10, 12, 15]]
[[1, 2, 7, 9, 11], [3, 5, 8, 12, 14], [4, 6, 10, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 6, 9, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 10, 13], [6, 11, 12, 14, 15]]

1 3 4 9 13 
2 5 8 11 14 
6 7 10 12 15 
152

[[1, 4, 6, 9, 10], [2, 5, 8, 11, 14], [3, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 6, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 9, 10, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 7, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 11, 13], [5, 9, 10, 14, 15]]
[[1, 4, 6, 7, 12], [2, 5, 8, 11, 14], [3, 9, 10, 13, 15]]
[[1, 2, 4, 7, 13], [3, 5, 8, 9, 14], [6, 10, 11, 12, 15]]
[[1, 2, 5, 7, 8], [3, 6, 9, 12, 13], [4, 10, 11, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 10, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 10, 14], [5, 11, 12, 13, 15]]
[[1, 3, 4, 6, 9], [2, 5, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 9, 11], [6, 12, 13, 14, 15]]
[[1, 4, 5, 7, 10], [2, 6, 8, 11, 12], [3, 9, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 9, 10, 12], [4, 7, 13, 14, 15]]
[[1, 2, 6, 8, 11], [3, 5, 9, 12, 13], [4, 7, 10, 14, 15]]
[[1, 2, 6, 9, 12], [3, 4, 7, 11, 13], [5, 8, 10, 14, 15]]
[[1, 2, 3, 9, 12], [4, 6, 7, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 7, 13], [4, 5, 8, 10, 14], [6, 9, 11, 12, 15]]
[[1, 2, 3, 4, 10], [5, 7, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 11, 14], [7, 10, 12, 13, 15]]
[[1, 3, 4, 5, 11], [2, 6, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 6, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 5, 6, 12], [3, 4, 7, 10, 13], [8, 9, 11, 14, 15]]
[[1, 4, 5, 6, 10], [2, 7, 8, 11, 13], [3, 9, 12, 14, 15]]
[[1, 3, 6, 7, 13], [2, 5, 8, 11, 14], [4, 9, 10, 12, 15]]
[[1, 2, 6, 7, 11], [3, 5, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 9, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 6, 7, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 10, 13], [6, 11, 12, 14, 15]]

1 3 4 9 13 
2 6 7 11 14 
5 8 10 12 15 
154

[[1, 4, 6, 8, 11], [2, 5, 9, 10, 14], [3, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 12, 13], [5, 9, 11, 14, 15]]
[[1, 4, 6, 7, 12], [2, 5, 9, 10, 14], [3, 8, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 10, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 12, 14], [5, 10, 11, 13, 15]]
[[1, 3, 4, 6, 9], [2, 7, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 9, 13], [6, 11, 12, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 3, 5, 8, 11], [2, 6, 9, 10, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 5, 6, 9, 13], [7, 10, 12, 14, 15]]
[[1, 2, 4, 6, 9], [3, 7, 10, 11, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 6, 7, 10, 14], [5, 8, 11, 13, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 4, 5, 10], [3, 7, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 9, 14], [7, 10, 12, 13, 15]]
[[1, 3, 5, 6, 11], [2, 4, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 6, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 8, 13], [2, 6, 7, 11, 14], [4, 9, 10, 12, 15]]
[[1, 2, 5, 7, 11], [3, 4, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 6, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 9, 13], [6, 11, 12, 14, 15]]

1 3 4 9 13 
2 6 8 11 14 
5 7 10 12 15 
153

[[1, 4, 6, 9, 11], [2, 5, 8, 10, 14], [3, 7, 12, 13, 15]]
[[1, 2, 4, 5, 10], [3, 7, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 6, 11], [2, 4, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 12, 13], [5, 9, 10, 14, 15]]
[[1, 4, 6, 7, 12], [2, 5, 9, 11, 14], [3, 8, 10, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 7, 8], [3, 6, 10, 12, 13], [4, 9, 11, 14, 15]]
[[1, 2, 3, 5, 8], [4, 6, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 8, 9], [2, 4, 7, 11, 14], [5, 10, 12, 13, 15]]
[[1, 3, 4, 6, 9], [2, 7, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 9, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 4, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 5, 8, 11], [2, 6, 9, 10, 13], [4, 7, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 5, 9, 12, 13], [4, 7, 10, 14, 15]]
[[1, 2, 6, 9, 12], [3, 4, 7, 11, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 9, 12], [3, 6, 7, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 12, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 7, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 9, 14], [7, 10, 12, 13, 15]]
[[1, 3, 4, 6, 11], [2, 5, 9, 12, 14], [7, 8, 10, 13, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 10, 12], [8, 11, 13, 14, 15]]
[[1, 2, 5, 7, 12], [3, 4, 6, 10, 13], [8, 9, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 6, 8, 13], [2, 5, 7, 11, 14], [4, 9, 10, 12, 15]]
[[1, 2, 6, 7, 11], [3, 4, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 12, 14], [5, 10, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 7, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 9, 13], [6, 11, 12, 14, 15]]

1 3 5 6 12 
2 4 9 10 14 
7 8 11 13 15 
156

[[1, 3, 5, 8, 9], [2, 6, 7, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 10, 11, 13], [8, 9, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 12, 14], [9, 10, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 4, 9, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 8, 13], [10, 11, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 10, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 9, 14], [4, 11, 12, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 12, 13], [8, 10, 11, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 10, 11], [5, 12, 13, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 8, 14], [9, 11, 12, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 9, 11], [10, 12, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 4, 6], [5, 7, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 4, 5, 7], [2, 8, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 4, 11], [5, 6, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 5, 6, 8], [3, 4, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 4, 5, 12], [2, 7, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 6, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 5, 6], [3, 8, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 7, 12, 14], [5, 9, 11, 13, 15]]
[[1, 3, 5, 6, 7], [2, 4, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 2, 4, 7, 8], [3, 5, 6, 11, 13], [9, 10, 12, 14, 15]]

1 3 5 6 12 
2 4 9 11 14 
7 8 10 13 15 
155

[[1, 3, 6, 8, 9], [2, 5, 7, 12, 14], [4, 10, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 10, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 9, 13], [5, 11, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 11, 14], [9, 10, 12, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 9, 10, 14], [6, 7, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 8, 12], [10, 11, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 10, 11, 12], [7, 8, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 12, 13], [8, 9, 11, 14, 15]]
[[1, 2, 6, 8, 11], [3, 4, 9, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 8, 14], [9, 10, 12, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 9, 12], [10, 11, 13, 14, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 12, 13], [7, 9, 11, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 5, 7, 9], [3, 4, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 2, 3, 5, 6], [4, 7, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 4, 6, 7], [2, 8, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 7, 12, 13], [5, 8, 10, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 8, 9], [4, 5, 6, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 5, 6], [4, 8, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 9, 10], [2, 6, 7, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 4, 6, 7], [2, 5, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 4, 5, 11], [3, 7, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 7, 8], [3, 4, 6, 11, 13], [9, 10, 12, 14, 15]]

1 3 5 6 13 
2 4 9 11 14 
7 8 10 12 15 
154

[[1, 4, 6, 8, 9], [2, 5, 7, 12, 14], [3, 10, 11, 13, 15]]
[[1, 2, 4, 6, 7], [3, 5, 10, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 9, 13], [4, 11, 12, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 6, 11, 13], [9, 10, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 9, 10, 14], [5, 7, 12, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 10, 11, 12], [6, 8, 13, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 9, 14], [8, 10, 12, 13, 15]]
[[1, 2, 3, 5, 7], [4, 6, 8, 10, 12], [9, 11, 13, 14, 15]]
[[1, 3, 4, 6, 8], [2, 7, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 3, 8, 10], [4, 5, 6, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 4, 9, 11], [2, 6, 7, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 5, 12], [3, 7, 8, 10, 13], [6, 9, 11, 14, 15]]

1 3 5 7 12 
2 4 6 11 14 
8 9 10 13 15 
154

[[1, 3, 6, 7, 8], [2, 5, 10, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 12, 13], [9, 10, 11, 14, 15]]
[[1, 2, 4, 8, 9], [3, 6, 7, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 8, 14], [10, 11, 12, 13, 15]]
[[1, 3, 5, 9, 10], [2, 4, 8, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 9, 10], [11, 12, 13, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 9, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 10, 11], [4, 12, 13, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 9, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 7, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 3, 4, 12], [5, 6, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 3, 4, 5], [6, 7, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 4, 5, 6], [2, 8, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 6, 7], [3, 4, 9, 11, 13], [8, 10, 12, 14, 15]]

1 3 5 7 12 
2 4 9 10 14 
6 8 11 13 15 
155

[[1, 3, 5, 8, 10], [2, 6, 7, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 10, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 12, 14], [8, 10, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 8, 13], [9, 11, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 9, 14], [4, 10, 12, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 10, 12], [5, 11, 13, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 3, 5, 11], [4, 6, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 4, 6, 12], [2, 7, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 5, 7], [3, 8, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 6, 8], [2, 4, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 6, 11, 13], [8, 10, 12, 14, 15]]

1 3 5 7 12 
2 4 9 11 14 
6 8 10 13 15 
154

[[1, 3, 6, 8, 10], [2, 5, 7, 12, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 10, 12, 13], [7, 9, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 8, 9, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 11, 14], [8, 10, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 9, 10, 14], [6, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 8, 12], [9, 11, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 10, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 6, 8, 12], [3, 4, 9, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 8, 13], [9, 10, 12, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 9, 14], [4, 10, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 10, 13], [5, 11, 12, 14, 15]]
[[1, 2, 4, 5, 11], [3, 6, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 6, 12], [2, 7, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 4, 6, 7], [3, 8, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 7, 12, 13], [4, 8, 10, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 6, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 5, 7], [4, 8, 9, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 9, 10], [2, 6, 7, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 6, 8], [2, 5, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 6, 11], [3, 7, 8, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 7, 9], [3, 4, 6, 11, 13], [8, 10, 12, 14, 15]]

1 3 5 7 13 
2 4 9 11 14 
6 8 10 12 15 
153

[[1, 4, 6, 8, 10], [2, 5, 7, 12, 14], [3, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 10, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 9, 13], [4, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 6, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 9, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 6, 11], [3, 5, 7, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 7, 12], [2, 6, 8, 10, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 9, 11, 13], [5, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 7, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 6, 12], [3, 7, 8, 10, 13], [5, 9, 11, 14, 15]]

1 3 5 8 12 
2 6 7 11 14 
4 9 10 13 15 
155

[[1, 3, 6, 7, 12], [2, 5, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 2, 4, 7, 8], [3, 6, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 9, 14], [6, 11, 12, 13, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 10, 11], [7, 12, 13, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 10, 11, 12], [4, 8, 13, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 9, 10, 14], [4, 8, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 4, 6, 8], [3, 7, 10, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 6, 9, 13], [8, 10, 12, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 8, 12], [2, 6, 7, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 3, 8, 12], [4, 5, 6, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 2, 3, 4, 9], [5, 6, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 3, 4, 5, 10], [2, 7, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 10, 13], [8, 9, 12, 14, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 9, 13], [7, 10, 12, 14, 15]]

1 3 5 9 12 
2 4 8 11 14 
6 7 10 13 15 
154

[[1, 3, 6, 9, 10], [2, 5, 8, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 9, 12, 13], [7, 8, 11, 14, 15]]
[[1, 2, 4, 7, 11], [3, 6, 9, 10, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 10, 14], [8, 9, 12, 13, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 11, 14], [6, 9, 10, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 11, 12], [9, 10, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 12, 13], [7, 10, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 9, 14], [8, 11, 12, 13, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 7, 10, 11], [9, 12, 13, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 8, 11, 12], [4, 10, 13, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 9, 11, 12], [5, 7, 13, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 9, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 7, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 3, 9, 11], [4, 5, 7, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 3, 6, 12], [4, 5, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 3, 4, 7], [5, 6, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 3, 4, 5, 8], [2, 7, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 6, 9], [3, 4, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 6, 7], [4, 5, 9, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 6, 7, 10], [2, 5, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 4, 7, 8], [2, 6, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 7, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 5, 8, 9], [3, 4, 7, 11, 13], [6, 10, 12, 14, 15]]

1 3 5 9 12 
2 6 7 11 14 
4 8 10 13 15 
154

[[1, 3, 6, 8, 12], [2, 5, 9, 10, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 9, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 10, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 6, 11], [3, 5, 8, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 6, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 12], [2, 6, 9, 10, 14], [4, 8, 11, 13, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 10, 11, 13], [5, 9, 12, 14, 15]]
[[1, 2, 3, 7, 11], [4, 5, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 3, 4, 8, 12], [2, 6, 9, 10, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 6, 9, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 7, 10, 11, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 6, 7, 10, 14], [4, 8, 12, 13, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 11, 12], [5, 9, 13, 14, 15]]
[[1, 2, 4, 7, 11], [3, 5, 6, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 3, 5, 8, 12], [2, 6, 7, 10, 14], [4, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 6, 10, 14], [7, 9, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 8, 11, 13], [5, 10, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 6, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 7, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 8, 9, 13], [6, 10, 12, 14, 15]]

1 3 5 9 13 
2 4 6 11 14 
7 8 10 12 15 
151

[[1, 4, 6, 8, 9], [2, 5, 10, 12, 14], [3, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 7, 12, 14], [8, 9, 11, 13, 15]]
[[1, 2, 5, 9, 10], [3, 6, 7, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 8, 13], [9, 10, 12, 14, 15]]
[[1, 3, 6, 10, 11], [2, 4, 8, 12, 14], [5, 7, 9, 13, 15]]
[[1, 4, 6, 8, 12], [2, 5, 7, 9, 14], [3, 10, 11, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 9, 11, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 10, 13], [4, 11, 12, 14, 15]]
[[1, 3, 5, 8, 13], [2, 4, 6, 10, 14], [7, 9, 11, 12, 15]]
[[1, 3, 6, 8, 10], [2, 4, 9, 11, 14], [5, 7, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 11, 14], [8, 10, 12, 13, 15]]
[[1, 2, 4, 9, 11], [3, 5, 7, 10, 12], [6, 8, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 6, 8, 12], [9, 11, 13, 14, 15]]
[[1, 3, 5, 10, 12], [2, 6, 8, 11, 13], [4, 7, 9, 14, 15]]
[[1, 4, 6, 8, 11], [2, 5, 7, 9, 13], [3, 10, 12, 14, 15]]
[[1, 2, 4, 6, 13], [3, 7, 9, 11, 14], [5, 8, 10, 12, 15]]
[[1, 2, 7, 9, 12], [3, 5, 8, 10, 14], [4, 6, 11, 13, 15]]
[[1, 2, 3, 5, 7], [4, 8, 10, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 8, 10], [4, 6, 9, 11, 13], [5, 7, 12, 14, 15]]
[[1, 3, 4, 6, 8], [2, 5, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 9, 11], [2, 5, 7, 12, 14], [6, 8, 10, 13, 15]]
[[1, 4, 5, 7, 9], [2, 6, 10, 12, 14], [3, 8, 11, 13, 15]]
[[1, 2, 4, 5, 12], [3, 6, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 5, 7, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 5, 6, 13], [2, 7, 9, 11, 14], [4, 8, 10, 12, 15]]
[[1, 3, 7, 9, 11], [2, 4, 8, 12, 14], [5, 6, 10, 13, 15]]
[[1, 2, 4, 6, 7], [3, 8, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 9, 10, 13], [6, 7, 11, 14, 15]]
[[1, 3, 5, 7, 8], [2, 4, 9, 11, 13], [6, 10, 12, 14, 15]]

1 3 5 9 13 
2 4 7 11 14 
6 8 10 12 15 
152

[[1, 4, 6, 8, 10], [2, 5, 9, 12, 14], [3, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 12, 14], [7, 9, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 6, 7, 10, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 9, 13], [8, 10, 12, 14, 15]]
[[1, 3, 6, 10, 12], [2, 4, 8, 11, 14], [5, 7, 9, 13, 15]]
[[1, 4, 6, 8, 12], [2, 5, 7, 10, 14], [3, 9, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 9, 12, 13], [6, 8, 10, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 11, 13], [4, 10, 12, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 10, 14], [7, 9, 11, 13, 15]]
[[1, 3, 6, 8, 10], [2, 4, 9, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 11, 13], [8, 10, 12, 14, 15]]
[[1, 2, 4, 9, 11], [3, 5, 7, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 10, 12], [2, 6, 8, 11, 14], [4, 7, 9, 13, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 9, 13], [5, 10, 12, 14, 15]]
[[1, 2, 4, 6, 11], [3, 7, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 3, 7, 9, 12], [2, 5, 8, 10, 14], [4, 6, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 9, 11, 13], [5, 7, 12, 14, 15]]
[[1, 2, 4, 6, 8], [3, 5, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 7, 12, 14], [6, 8, 10, 13, 15]]
[[1, 3, 5, 7, 9], [2, 6, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 6, 12], [3, 5, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 6, 8, 10], [3, 4, 7, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 7, 13], [2, 6, 9, 11, 14], [4, 8, 10, 12, 15]]
[[1, 3, 7, 9, 11], [2, 5, 8, 12, 14], [4, 6, 10, 13, 15]]
[[1, 2, 4, 6, 8], [3, 7, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 6, 9, 10, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 7, 9], [2, 4, 8, 11, 13], [6, 10, 12, 14, 15]]

1 3 5 9 13 
2 4 8 11 14 
6 7 10 12 15 
153

[[1, 4, 6, 9, 10], [2, 5, 8, 12, 14], [3, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 6, 10, 13], [8, 9, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 11, 14], [5, 9, 10, 13, 15]]
[[1, 4, 6, 8, 12], [2, 5, 7, 11, 14], [3, 9, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 8, 12, 13], [4, 10, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 9, 14], [7, 11, 12, 13, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 9, 14], [5, 11, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 10, 11], [6, 12, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 9, 11, 12], [4, 7, 13, 14, 15]]
[[1, 2, 6, 8, 11], [3, 4, 9, 12, 13], [5, 7, 10, 14, 15]]
[[1, 2, 6, 9, 11], [3, 4, 7, 12, 13], [5, 8, 10, 14, 15]]
[[1, 2, 3, 9, 12], [4, 5, 7, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 4, 10], [5, 6, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 5, 11], [2, 7, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 3, 4, 5, 9], [2, 7, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 6, 12], [3, 4, 8, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 7, 13], [2, 5, 9, 11, 14], [4, 8, 10, 12, 15]]
[[1, 3, 6, 7, 11], [2, 5, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 10, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 6, 7, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 11, 13], [6, 10, 12, 14, 15]]

1 3 5 9 13 
2 6 7 11 14 
4 8 10 12 15 
153

[[1, 4, 6, 8, 12], [2, 5, 9, 10, 14], [3, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 10, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 9, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 8, 12], [2, 6, 9, 10, 14], [4, 7, 11, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 10, 11, 13], [5, 8, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 8, 11], [3, 5, 6, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 5, 9, 12], [2, 6, 7, 10, 14], [4, 8, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 6, 10, 13], [7, 9, 11, 14, 15]]

1 3 5 9 13 
2 6 8 11 14 
4 7 10 12 15 
152

[[1, 4, 6, 9, 12], [2, 5, 8, 10, 14], [3, 7, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 7, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 9, 11, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 4, 8, 10, 13], [6, 9, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 12, 14], [5, 9, 10, 13, 15]]
[[1, 4, 6, 8, 12], [2, 5, 9, 11, 14], [3, 7, 10, 13, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 9, 13], [6, 10, 11, 14, 15]]
[[1, 2, 5, 7, 9], [3, 6, 10, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 8, 13], [2, 6, 9, 10, 14], [4, 7, 11, 12, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 11, 14], [5, 9, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 10, 11, 14], [5, 8, 12, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 8, 9, 12], [6, 10, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 5, 8, 12], [2, 6, 9, 10, 13], [4, 7, 11, 14, 15]]
[[1, 4, 6, 8, 11], [2, 5, 9, 12, 13], [3, 7, 10, 14, 15]]
[[1, 2, 6, 9, 13], [3, 4, 7, 11, 14], [5, 8, 10, 12, 15]]
[[1, 2, 5, 9, 12], [3, 6, 7, 10, 14], [4, 8, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 6, 10], [4, 7, 8, 11, 13], [5, 9, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 5, 6, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 7, 11], [2, 5, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 4, 5, 9, 12], [2, 6, 7, 10, 14], [3, 8, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 4, 6, 10, 13], [7, 9, 11, 14, 15]]
[[1, 2, 5, 6, 10], [3, 7, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 3, 6, 9, 13], [2, 5, 7, 11, 14], [4, 8, 10, 12, 15]]
[[1, 3, 6, 7, 11], [2, 4, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 7, 10], [3, 6, 8, 12, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 5, 7, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 9, 13], [6, 10, 12, 14, 15]]

1 3 6 10 12 
2 5 8 11 14 
4 7 9 13 15 
153

[[1, 3, 7, 9, 12], [2, 5, 8, 11, 14], [4, 6, 10, 13, 15]]
[[1, 2, 4, 7, 11], [3, 6, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 2, 4, 8, 10], [3, 6, 9, 12, 13], [5, 7, 11, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 10, 14], [6, 9, 11, 13, 15]]
[[1, 3, 5, 9, 11], [2, 4, 7, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 5, 7, 11], [2, 6, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 9, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 5, 9, 11], [3, 4, 7, 10, 13], [6, 8, 12, 14, 15]]

1 3 6 10 13 
2 4 8 11 14 
5 7 9 12 15 
151

[[1, 4, 7, 9, 11], [2, 5, 8, 12, 14], [3, 6, 10, 13, 15]]
[[1, 2, 4, 7, 11], [3, 5, 9, 12, 14], [6, 8, 10, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 9, 10, 13], [4, 7, 11, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 6, 10, 13], [7, 9, 11, 14, 15]]
[[1, 3, 6, 9, 13], [2, 4, 7, 11, 14], [5, 8, 10, 12, 15]]
[[1, 4, 6, 9, 13], [2, 5, 7, 11, 14], [3, 8, 10, 12, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 12, 14], [6, 9, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 12, 14], [4, 9, 11, 13, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 9, 13], [7, 10, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 9, 13], [5, 10, 12, 14, 15]]
[[1, 4, 6, 9, 12], [2, 5, 7, 10, 14], [3, 8, 11, 13, 15]]
[[1, 4, 7, 9, 12], [2, 5, 8, 10, 14], [3, 6, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 11, 13], [4, 9, 12, 14, 15]]
[[1, 2, 5, 8, 10], [3, 6, 9, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 9, 12, 14], [5, 7, 10, 13, 15]]
[[1, 3, 6, 9, 11], [2, 4, 7, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 7, 10, 13], [6, 8, 11, 14, 15]]
[[1, 2, 4, 7, 12], [3, 5, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 10, 13], [2, 6, 8, 11, 14], [4, 7, 9, 12, 15]]
[[1, 3, 5, 8, 13], [2, 6, 9, 11, 14], [4, 7, 10, 12, 15]]
[[1, 2, 4, 6, 11], [3, 7, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 6, 9], [3, 7, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 3, 5, 7, 12], [2, 4, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 7, 10], [2, 4, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 4, 6, 8, 13], [2, 5, 9, 11, 14], [3, 7, 10, 12, 15]]
[[1, 4, 6, 8, 11], [2, 5, 9, 12, 14], [3, 7, 10, 13, 15]]
[[1, 2, 5, 7, 9], [3, 6, 10, 12, 14], [4, 8, 11, 13, 15]]
[[1, 2, 5, 9, 12], [3, 6, 7, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 6, 8, 10], [2, 4, 7, 11, 13], [5, 9, 12, 14, 15]]

1 3 6 10 13 
2 5 8 11 14 
4 7 9 12 15 
152

[[1, 4, 7, 9, 12], [2, 5, 8, 11, 14], [3, 6, 10, 13, 15]]
[[1, 2, 4, 7, 11], [3, 6, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 5, 8, 10], [3, 6, 9, 12, 13], [4, 7, 11, 14, 15]]
[[1, 3, 5, 8, 12], [2, 4, 7, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 6, 9, 11], [2, 4, 7, 10, 14], [5, 8, 12, 13, 15]]
[[1, 4, 6, 9, 13], [2, 5, 8, 11, 14], [3, 7, 10, 12, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 6, 9, 12, 14], [4, 8, 11, 13, 15]]
[[1, 3, 5, 8, 11], [2, 6, 9, 12, 13], [4, 7, 10, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 10, 13], [5, 9, 12, 14, 15]]
[[1, 2, 6, 9, 12], [3, 4, 7, 10, 14], [5, 8, 11, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 9, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 5, 9, 12], [3, 4, 7, 10, 13], [6, 8, 11, 14, 15]]

1 3 6 7 12 
2 5 9 11 14 
4 8 10 13 15 
154

[[1, 3, 6, 8, 12], [2, 5, 7, 11, 14], [4, 9, 10, 13, 15]]
[[1, 2, 4, 7, 8], [3, 6, 10, 12, 13], [5, 9, 11, 14, 15]]
[[1, 2, 4, 7, 9], [3, 6, 8, 12, 13], [5, 10, 11, 14, 15]]
[[1, 3, 5, 8, 9], [2, 4, 7, 11, 14], [6, 10, 12, 13, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 9, 14], [6, 11, 12, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 9, 12], [7, 11, 13, 14, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 10, 11], [7, 12, 13, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 9, 10, 13], [4, 8, 12, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 9, 11, 12], [4, 8, 13, 14, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 11, 14], [5, 9, 10, 13, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 12, 13], [5, 9, 10, 14, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 12, 13], [6, 10, 11, 14, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 9, 14], [6, 10, 11, 13, 15]]
[[1, 3, 4, 8, 10], [2, 5, 6, 9, 14], [7, 11, 12, 13, 15]]
[[1, 2, 3, 4, 8], [5, 6, 9, 10, 13], [7, 11, 12, 14, 15]]
[[1, 2, 4, 5, 9], [3, 6, 7, 10, 11], [8, 12, 13, 14, 15]]
[[1, 3, 4, 5, 9], [2, 7, 10, 11, 14], [6, 8, 12, 13, 15]]
[[1, 3, 5, 6, 10], [2, 7, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 2, 5, 6, 10], [3, 4, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 2, 6, 7, 11], [3, 4, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 3, 6, 7, 11], [2, 5, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 2, 3, 8, 12], [4, 5, 7, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 4, 8, 12], [3, 6, 7, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 3, 4, 9], [5, 6, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 2, 3, 5, 9], [4, 7, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 4, 5, 10], [2, 7, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 3, 4, 6, 10], [2, 5, 9, 12, 14], [7, 8, 11, 13, 15]]
[[1, 2, 5, 6, 11], [3, 4, 8, 10, 13], [7, 9, 12, 14, 15]]
[[1, 2, 5, 7, 11], [3, 4, 6, 10, 13], [8, 9, 12, 14, 15]]

1 3 6 8 13 
2 4 9 11 14 
5 7 10 12 15 
51

[[1, 4, 6, 9, 11], [2, 5, 7, 12, 14], [3, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 11, 13], [7, 9, 12, 14, 15]]

1 3 6 9 12 
2 5 8 11 14 
4 7 10 13 15 
154

[[1, 2, 4, 7, 10], [3, 6, 9, 12, 13], [5, 8, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 10, 14], [6, 9, 12, 13, 15]]
[[1, 2, 4, 6, 9], [3, 5, 8, 11, 12], [7, 10, 13, 14, 15]]
[[1, 3, 5, 7, 10], [2, 6, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 2, 6, 8, 11], [3, 4, 7, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 3, 7, 9], [4, 5, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 4, 8, 10], [2, 6, 9, 12, 13], [5, 7, 11, 14, 15]]
[[1, 2, 5, 9, 11], [3, 4, 7, 10, 14], [6, 8, 12, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 11, 12], [7, 9, 13, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 9, 12, 13], [5, 8, 10, 14, 15]]
[[1, 2, 5, 8, 12], [3, 4, 7, 10, 14], [6, 9, 11, 13, 15]]
[[1, 2, 3, 6, 9], [4, 5, 8, 11, 13], [7, 10, 12, 14, 15]]
[[1, 3, 4, 7, 10], [2, 6, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 8, 11], [3, 4, 7, 10, 13], [6, 9, 12, 14, 15]]

1 3 6 9 13 
2 4 8 11 14 
5 7 10 12 15 
152

[[1, 4, 6, 9, 11], [2, 5, 8, 12, 14], [3, 7, 10, 13, 15]]
[[1, 2, 4, 7, 10], [3, 5, 9, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 9, 10, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 6, 10, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 8, 13], [2, 4, 7, 11, 14], [5, 9, 10, 12, 15]]
[[1, 4, 6, 9, 12], [2, 5, 7, 11, 14], [3, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 12, 14], [6, 10, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 12, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 9, 13], [7, 11, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 9, 14], [5, 10, 12, 13, 15]]
[[1, 4, 6, 9, 11], [2, 5, 7, 10, 14], [3, 8, 12, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 10, 12], [6, 11, 13, 14, 15]]
[[1, 2, 5, 7, 10], [3, 6, 8, 11, 12], [4, 9, 13, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 9, 11, 13], [4, 7, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 9, 12, 13], [5, 7, 10, 14, 15]]
[[1, 2, 6, 9, 11], [3, 4, 7, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 9, 12], [3, 5, 7, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 3, 7, 12], [4, 5, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 2, 3, 5, 10], [4, 6, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 4, 8, 13], [2, 6, 9, 11, 14], [5, 7, 10, 12, 15]]
[[1, 3, 4, 6, 11], [2, 7, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 4, 5, 9], [3, 7, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 4, 8, 10, 13], [6, 9, 11, 14, 15]]
[[1, 3, 5, 6, 10], [2, 4, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 6, 8, 13], [2, 5, 9, 11, 14], [4, 7, 10, 12, 15]]
[[1, 4, 6, 7, 11], [2, 5, 9, 12, 14], [3, 8, 10, 13, 15]]
[[1, 2, 4, 7, 9], [3, 6, 10, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 8, 12], [3, 6, 7, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 7, 11, 13], [6, 9, 12, 14, 15]]

1 3 6 9 13 
2 5 8 11 14 
4 7 10 12 15 
153

[[1, 4, 6, 9, 12], [2, 5, 8, 11, 14], [3, 7, 10, 13, 15]]
[[1, 2, 4, 7, 10], [3, 6, 9, 12, 14], [5, 8, 11, 13, 15]]
[[1, 2, 5, 7, 10], [3, 6, 9, 12, 13], [4, 8, 11, 14, 15]]
[[1, 3, 5, 8, 11], [2, 4, 7, 10, 13], [6, 9, 12, 14, 15]]
[[1, 3, 6, 8, 11], [2, 4, 7, 10, 14], [5, 9, 12, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 11, 12], [6, 10, 13, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 9, 12, 13], [4, 7, 11, 14, 15]]
[[1, 2, 6, 9, 11], [3, 4, 7, 10, 14], [5, 8, 12, 13, 15]]
[[1, 2, 3, 7, 10], [4, 5, 8, 11, 12], [6, 9, 13, 14, 15]]
[[1, 3, 4, 8, 11], [2, 6, 9, 12, 13], [5, 7, 10, 14, 15]]
[[1, 2, 5, 9, 12], [3, 4, 7, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 3, 6, 10], [4, 5, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 4, 7, 11], [2, 6, 9, 12, 14], [5, 8, 10, 13, 15]]
[[1, 2, 5, 8, 12], [3, 4, 7, 10, 13], [6, 9, 11, 14, 15]]

1 3 7 10 13 
2 5 8 11 14 
4 6 9 12 15 
151

[[1, 4, 7, 10, 12], [2, 5, 8, 11, 14], [3, 6, 9, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 9, 12, 14], [5, 7, 10, 13, 15]]
[[1, 2, 5, 8, 11], [3, 6, 9, 12, 13], [4, 7, 10, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 7, 10, 13], [6, 8, 11, 14, 15]]
[[1, 3, 6, 9, 12], [2, 4, 7, 10, 14], [5, 8, 11, 13, 15]]
[[1, 4, 6, 10, 13], [2, 5, 8, 11, 14], [3, 7, 9, 12, 15]]
[[1, 2, 4, 7, 10], [3, 5, 8, 11, 13], [6, 9, 12, 14, 15]]
[[1, 2, 5, 7, 11], [3, 6, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 3, 5, 8, 11], [2, 6, 9, 12, 14], [4, 7, 10, 13, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 10, 13], [5, 9, 11, 14, 15]]
[[1, 2, 6, 9, 12], [3, 4, 7, 10, 13], [5, 8, 11, 14, 15]]
[[1, 4, 7, 9, 13], [2, 5, 8, 11, 14], [3, 6, 10, 12, 15]]
[[1, 2, 5, 8, 10], [3, 6, 9, 12, 14], [4, 7, 11, 13, 15]]
[[1, 3, 6, 9, 11], [2, 4, 7, 10, 13], [5, 8, 12, 14, 15]]

1 3 7 8 13 
2 4 9 11 14 
5 6 10 12 15 
150

[[1, 4, 6, 10, 11], [2, 5, 7, 12, 14], [3, 8, 9, 13, 15]]
[[1, 2, 4, 8, 9], [3, 5, 10, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 8, 11, 13], [4, 9, 10, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 6, 11, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 8, 13], [2, 4, 7, 9, 14], [5, 10, 11, 12, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 10, 14], [6, 11, 12, 13, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 9, 11], [7, 12, 13, 14, 15]]
[[1, 4, 6, 9, 11], [2, 5, 7, 10, 12], [3, 8, 13, 14, 15]]
[[1, 2, 7, 10, 12], [3, 5, 8, 11, 13], [4, 6, 9, 14, 15]]
[[1, 2, 3, 8, 13], [4, 6, 9, 11, 14], [5, 7, 10, 12, 15]]
[[1, 2, 3, 4, 9], [5, 7, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 3, 4, 5, 10], [2, 6, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 4, 5, 6, 11], [2, 7, 9, 12, 14], [3, 8, 10, 13, 15]]
[[1, 2, 6, 7, 12], [3, 5, 8, 10, 13], [4, 9, 11, 14, 15]]

1 3 7 9 13 
2 4 8 11 14 
5 6 10 12 15 
151

[[1, 4, 6, 10, 11], [2, 5, 8, 12, 14], [3, 7, 9, 13, 15]]
[[1, 2, 4, 8, 10], [3, 5, 9, 12, 14], [6, 7, 11, 13, 15]]
[[1, 2, 5, 7, 12], [3, 6, 9, 11, 13], [4, 8, 10, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 6, 10, 13], [7, 8, 12, 14, 15]]
[[1, 3, 6, 8, 13], [2, 4, 7, 10, 14], [5, 9, 11, 12, 15]]
[[1, 4, 6, 10, 12], [2, 5, 7, 11, 14], [3, 8, 9, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 11, 14], [6, 10, 12, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 8, 12, 13], [4, 9, 10, 14, 15]]
[[1, 3, 5, 8, 10], [2, 4, 6, 9, 12], [7, 11, 13, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 9, 14], [5, 10, 11, 13, 15]]
[[1, 4, 6, 9, 11], [2, 5, 7, 10, 13], [3, 8, 12, 14, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 10, 13], [6, 11, 12, 14, 15]]
[[1, 2, 7, 10, 12], [3, 5, 8, 11, 14], [4, 6, 9, 13, 15]]
[[1, 3, 5, 8, 10], [2, 6, 9, 11, 14], [4, 7, 12, 13, 15]]
[[1, 2, 3, 8, 11], [4, 6, 9, 12, 13], [5, 7, 10, 14, 15]]
[[1, 2, 6, 9, 11], [3, 4, 7, 10, 12], [5, 8, 13, 14, 15]]
[[1, 3, 4, 9, 12], [2, 5, 7, 10, 14], [6, 8, 11, 13, 15]]
[[1, 3, 7, 10, 12], [2, 5, 8, 11, 13], [4, 6, 9, 14, 15]]
[[1, 2, 4, 5, 10], [3, 6, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 2, 4, 8, 13], [3, 6, 9, 11, 14], [5, 7, 10, 12, 15]]
[[1, 3, 5, 6, 11], [2, 7, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 3, 5, 9], [4, 7, 10, 12, 14], [6, 8, 11, 13, 15]]
[[1, 2, 6, 7, 12], [3, 4, 8, 10, 13], [5, 9, 11, 14, 15]]
[[1, 3, 4, 6, 10], [2, 5, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 7, 8, 13], [2, 5, 9, 11, 14], [4, 6, 10, 12, 15]]
[[1, 4, 5, 7, 11], [2, 6, 9, 12, 14], [3, 8, 10, 13, 15]]
[[1, 2, 4, 8, 9], [3, 6, 10, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 6, 8, 12], [3, 5, 7, 10, 13], [4, 9, 11, 14, 15]]
[[1, 3, 5, 9, 10], [2, 4, 7, 11, 13], [6, 8, 12, 14, 15]]

1 3 7 9 13 
2 5 8 11 14 
4 6 10 12 15 
152

[[1, 4, 6, 10, 12], [2, 5, 8, 11, 14], [3, 7, 9, 13, 15]]
[[1, 2, 4, 8, 10], [3, 6, 9, 12, 14], [5, 7, 11, 13, 15]]
[[1, 2, 5, 7, 11], [3, 6, 9, 12, 13], [4, 8, 10, 14, 15]]
[[1, 3, 5, 9, 11], [2, 4, 7, 10, 13], [6, 8, 12, 14, 15]]
[[1, 3, 6, 8, 12], [2, 4, 7, 10, 14], [5, 9, 11, 13, 15]]
[[1, 2, 4, 7, 9], [3, 5, 8, 11, 13], [6, 10, 12, 14, 15]]
[[1, 3, 5, 8, 10], [2, 6, 9, 12, 14], [4, 7, 11, 13, 15]]
[[1, 2, 6, 9, 11], [3, 4, 7, 10, 13], [5, 8, 12, 14, 15]]
[[1, 3, 7, 10, 12], [2, 5, 8, 11, 14], [4, 6, 9, 13, 15]]
[[1, 2, 4, 8, 11], [3, 6, 9, 12, 13], [5, 7, 10, 14, 15]]
[[1, 3, 5, 9, 12], [2, 4, 7, 10, 14], [6, 8, 11, 13, 15]]
[[1, 2, 4, 6, 10], [3, 5, 8, 11, 13], [7, 9, 12, 14, 15]]
[[1, 3, 5, 7, 11], [2, 6, 9, 12, 14], [4, 8, 10, 13, 15]]
[[1, 2, 6, 8, 12], [3, 4, 7, 10, 13], [5, 9, 11, 14, 15]]

1 4 7 10 13 
2 5 8 11 14 
3 6 9 12 15 
30

[[1, 2, 5, 8, 11], [3, 6, 9, 12, 14], [4, 7, 10, 13, 15]]
[[1, 3, 6, 9, 12], [2, 4, 7, 10, 13], [5, 8, 11, 14, 15]]