([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 0
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 0
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(5,6)],7) => [1] => [1,0,1,0] => 1
([(4,6),(5,6)],7) => [1,1] => [1,0,1,1,0,0] => 1
([(3,6),(4,6),(5,6)],7) => [1,1,1] => [1,0,1,1,1,0,0,0] => 1
([(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(3,6),(4,5)],7) => [1,1] => [1,0,1,1,0,0] => 1
([(3,6),(4,5),(5,6)],7) => [1,1,1] => [1,0,1,1,1,0,0,0] => 1
([(2,3),(4,6),(5,6)],7) => [1,1,1] => [1,0,1,1,1,0,0,0] => 1
([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1,0,0,0,1,0] => 0
([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(3,6),(4,5),(4,6),(5,6)],7) => [3,1] => [1,1,0,1,0,0,1,0] => 1
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1,0,0,0,0,1,0] => 0
([(1,6),(2,6),(3,5),(4,5)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 1
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 0
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(1,6),(2,5),(3,4)],7) => [1,1,1] => [1,0,1,1,1,0,0,0] => 1
([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(1,2),(3,6),(4,5),(5,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(0,3),(1,2),(4,6),(5,6)],7) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [1,1,0,1,0,0,1,0] => 1
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 0
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 0
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 1
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 1
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 2
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 0
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 2
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 0
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [1,0,1,1,0,0,1,0] => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 0
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 1
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 2
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 0
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 0
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 0
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 0
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 2
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 1
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1