Identifier
Identifier
Mp00065: Permutations permutation poset
Images
[1] => ([],1)
[1,2] => ([(0,1)],2)
[2,1] => ([],2)
[1,2,3] => ([(0,2),(2,1)],3)
[1,3,2] => ([(0,1),(0,2)],3)
[2,1,3] => ([(0,2),(1,2)],3)
[2,3,1] => ([(1,2)],3)
[3,1,2] => ([(1,2)],3)
[3,2,1] => ([],3)
[1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[1,2,4,3] => ([(0,3),(3,1),(3,2)],4)
[1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4)
[1,3,4,2] => ([(0,2),(0,3),(3,1)],4)
[1,4,2,3] => ([(0,2),(0,3),(3,1)],4)
[1,4,3,2] => ([(0,1),(0,2),(0,3)],4)
[2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4)
[2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[2,3,4,1] => ([(1,2),(2,3)],4)
[2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[2,4,3,1] => ([(1,2),(1,3)],4)
[3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[3,2,1,4] => ([(0,3),(1,3),(2,3)],4)
[3,2,4,1] => ([(1,3),(2,3)],4)
[3,4,1,2] => ([(0,3),(1,2)],4)
[3,4,2,1] => ([(2,3)],4)
[4,1,2,3] => ([(1,2),(2,3)],4)
[4,1,3,2] => ([(1,2),(1,3)],4)
[4,2,1,3] => ([(1,3),(2,3)],4)
[4,2,3,1] => ([(2,3)],4)
[4,3,1,2] => ([(2,3)],4)
[4,3,2,1] => ([],4)
[1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5)
[1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
[1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5)
[1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5)
[1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5)
[1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
[1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)
[1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
[1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5)
[1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5)
[1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
[1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
[1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
[1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5)
[1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5)
[1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5)
[1,5,3,2,4] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
[1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,4,2,3] => ([(0,2),(0,3),(0,4),(4,1)],5)
[1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5)
[2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5)
[2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)
[2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)
[2,1,5,3,4] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)
[2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)
[2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5)
[2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5)
[2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5)
[2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5)
[2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5)
[2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[2,5,3,1,4] => ([(0,4),(1,2),(1,3),(3,4)],5)
[2,5,3,4,1] => ([(1,3),(1,4),(4,2)],5)
[2,5,4,1,3] => ([(0,4),(1,2),(1,3),(1,4)],5)
[2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5)
[3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)
[3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[3,1,5,4,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
[3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5)
[3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5)
[3,2,5,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5)
[3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,1,5,2] => ([(0,3),(1,2),(1,4),(3,4)],5)
[3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5)
[3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5)
[3,4,5,2,1] => ([(2,3),(3,4)],5)
[3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5)
[3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5)
[3,5,2,1,4] => ([(0,4),(1,4),(2,3),(2,4)],5)
[3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5)
[3,5,4,1,2] => ([(0,4),(1,2),(1,3)],5)
[3,5,4,2,1] => ([(2,3),(2,4)],5)
[4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5)
[4,1,5,2,3] => ([(0,4),(1,2),(1,4),(2,3)],5)
[4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,1,5,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5)
[4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
[4,2,5,3,1] => ([(1,4),(2,3),(2,4)],5)
[4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5)
[4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5)
[4,3,2,5,1] => ([(1,4),(2,4),(3,4)],5)
[4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5)
[4,3,5,2,1] => ([(2,4),(3,4)],5)
[4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[4,5,1,3,2] => ([(0,4),(1,2),(1,3)],5)
[4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5)
[4,5,2,3,1] => ([(1,4),(2,3)],5)
[4,5,3,1,2] => ([(1,4),(2,3)],5)
[4,5,3,2,1] => ([(3,4)],5)
[5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[5,1,3,4,2] => ([(1,3),(1,4),(4,2)],5)
[5,1,4,2,3] => ([(1,3),(1,4),(4,2)],5)
[5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[5,2,1,4,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5)
[5,2,3,4,1] => ([(2,3),(3,4)],5)
[5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5)
[5,2,4,3,1] => ([(2,3),(2,4)],5)
[5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5)
[5,3,1,4,2] => ([(1,4),(2,3),(2,4)],5)
[5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[5,3,2,4,1] => ([(2,4),(3,4)],5)
[5,3,4,1,2] => ([(1,4),(2,3)],5)
[5,3,4,2,1] => ([(3,4)],5)
[5,4,1,2,3] => ([(2,3),(3,4)],5)
[5,4,1,3,2] => ([(2,3),(2,4)],5)
[5,4,2,1,3] => ([(2,4),(3,4)],5)
[5,4,2,3,1] => ([(3,4)],5)
[5,4,3,1,2] => ([(3,4)],5)
[5,4,3,2,1] => ([],5)
[1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)
[1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
[1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)
[1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)
[1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)
[1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
[1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)
[1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
[1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)
[1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)
[1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)
[1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
[1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)
[1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)
[1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)
[1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)
[1,2,6,4,3,5] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
[1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,5,3,4] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)
[1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)
[1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
[1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)
[1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)
[1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)
[1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
[1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)
[1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)
[1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)
[1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)
[1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)
[1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
[1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)
[1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)
[1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)
[1,3,6,4,2,5] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)
[1,3,6,4,5,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,3,6,5,2,4] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)
[1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)
[1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
[1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)
[1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)
[1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)
[1,4,2,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)
[1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
[1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)
[1,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
[1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)
[1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)
[1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)
[1,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)
[1,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,4,6,5,2,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)
[1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)
[1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)
[1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
[1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)
[1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[1,5,2,6,4,3] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)
[1,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)
[1,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
[1,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)
[1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)
[1,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)
[1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)
[1,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)
[1,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)
[1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)
[1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)
[1,6,2,5,4,3] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)
[1,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)
[1,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)
[1,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)
[1,6,4,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)
[1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,6,4,5,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)
[1,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,2,3,4] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)
[1,6,5,2,4,3] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)
[1,6,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)
[1,6,5,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)
[1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)
[2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)
[2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)
[2,1,3,6,4,5] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)
[2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)
[2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)
[2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)
[2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)
[2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)
[2,1,4,6,3,5] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)
[2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)
[2,1,5,3,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)
[2,1,5,3,6,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)
[2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)
[2,1,5,6,3,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)
[2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,3,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)
[2,1,6,3,5,4] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)
[2,1,6,4,3,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)
[2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,5,3,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)
[2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[2,3,1,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)
[2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6)
[2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6)
[2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[2,3,5,1,6,4] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)
[2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6)
[2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)
[2,3,6,4,1,5] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)
[2,3,6,4,5,1] => ([(1,5),(4,3),(5,2),(5,4)],6)
[2,3,6,5,1,4] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6)
[2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)
[2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[2,4,1,5,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[2,4,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[2,4,1,6,5,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)
[2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[2,4,3,6,1,5] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,5,1,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,1,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)
[2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6)
[2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)
[2,4,6,3,1,5] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,4,6,3,5,1] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)
[2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6)
[2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[2,5,1,4,3,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)
[2,5,1,6,3,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)
[2,5,1,6,4,3] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)
[2,5,3,1,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)
[2,5,3,1,6,4] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[2,5,3,4,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,5,3,4,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[2,5,3,6,1,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[2,5,3,6,4,1] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[2,5,4,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,1,6,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[2,5,4,6,1,3] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)
[2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)
[2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[2,5,6,3,4,1] => ([(1,4),(1,5),(4,3),(5,2)],6)
[2,5,6,4,1,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)
[2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)
[2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,3,1,4,5] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)
[2,6,3,1,5,4] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)
[2,6,3,4,1,5] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[2,6,3,4,5,1] => ([(1,3),(1,5),(4,2),(5,4)],6)
[2,6,3,5,1,4] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)
[2,6,3,5,4,1] => ([(1,4),(1,5),(5,2),(5,3)],6)
[2,6,4,1,3,5] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[2,6,4,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,3,5,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[2,6,4,5,1,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[2,6,4,5,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,5,1,3,4] => ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)
[2,6,5,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,5,3,1,4] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[2,6,5,3,4,1] => ([(1,3),(1,4),(1,5),(5,2)],6)
[2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6)
[3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)
[3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)
[3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[3,1,4,2,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)
[3,1,4,5,2,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[3,1,4,5,6,2] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[3,1,4,6,2,5] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[3,1,4,6,5,2] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)
[3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[3,1,5,2,6,4] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[3,1,5,4,2,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[3,1,5,4,6,2] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)
[3,1,5,6,2,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)
[3,1,5,6,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[3,1,6,2,5,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)
[3,1,6,4,2,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)
[3,1,6,4,5,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)
[3,1,6,5,2,4] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)
[3,1,6,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)
[3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)
[3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)
[3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,1,6,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6)
[3,2,4,6,1,5] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)
[3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6)
[3,2,5,1,4,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[3,2,5,1,6,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)
[3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,5,6,1,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)
[3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,1,4,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,1,5,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,6,4,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)
[3,2,6,4,5,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,2,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[3,4,1,5,6,2] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)
[3,4,1,6,2,5] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,5,2] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)
[3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6)
[3,4,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,1,6,2] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6)
[3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6)
[3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6)
[3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)
[3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[3,4,6,2,1,5] => ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)
[3,4,6,2,5,1] => ([(1,5),(2,3),(3,4),(3,5)],6)
[3,4,6,5,1,2] => ([(0,4),(1,5),(5,2),(5,3)],6)
[3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6)
[3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)
[3,5,1,4,2,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)
[3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)
[3,5,1,6,4,2] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)
[3,5,2,1,4,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[3,5,2,1,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[3,5,2,4,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,4,6,1] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
[3,5,2,6,4,1] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[3,5,4,1,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,5,4,1,6,2] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)
[3,5,4,2,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,4,2,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,4,6,1,2] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[3,5,4,6,2,1] => ([(2,3),(2,4),(3,5),(4,5)],6)
[3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[3,5,6,2,1,4] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[3,5,6,2,4,1] => ([(1,5),(2,3),(2,5),(3,4)],6)
[3,5,6,4,1,2] => ([(0,4),(1,3),(1,5),(5,2)],6)
[3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6)
[3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)
[3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)
[3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)
[3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)
[3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)
[3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)
[3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,2,4,1,5] => ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)
[3,6,2,4,5,1] => ([(1,5),(2,3),(2,5),(5,4)],6)
[3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,2,5,4,1] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,4,1,2,5] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[3,6,4,2,1,5] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)
[3,6,4,2,5,1] => ([(1,5),(2,3),(2,4),(4,5)],6)
[3,6,4,5,1,2] => ([(0,4),(1,3),(1,5),(5,2)],6)
[3,6,4,5,2,1] => ([(2,3),(2,4),(4,5)],6)
[3,6,5,1,2,4] => ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)
[3,6,5,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)
[3,6,5,2,1,4] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
[3,6,5,2,4,1] => ([(1,5),(2,3),(2,4),(2,5)],6)
[3,6,5,4,1,2] => ([(0,5),(1,2),(1,3),(1,4)],6)
[3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6)
[4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)
[4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)
[4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,3,5,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)
[4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)
[4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)
[4,1,5,2,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
[4,1,5,2,6,3] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[4,1,5,3,6,2] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[4,1,5,6,2,3] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)
[4,1,5,6,3,2] => ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)
[4,1,6,2,3,5] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)
[4,1,6,2,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)
[4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[4,1,6,5,2,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)
[4,1,6,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[4,2,1,3,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,5,3,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[4,2,1,5,6,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[4,2,1,6,3,5] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)
[4,2,1,6,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6)
[4,2,3,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,3,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)
[4,2,5,3,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,3,6,1] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,6,1,3] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)
[4,2,5,6,3,1] => ([(1,5),(2,3),(2,5),(5,4)],6)
[4,2,6,1,3,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)
[4,2,6,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,6,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,2,6,3,5,1] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,2,6,5,3,1] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[4,3,1,2,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[4,3,1,5,2,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)
[4,3,1,6,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)
[4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,5,1,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[4,3,2,5,6,1] => ([(1,5),(2,5),(3,5),(5,4)],6)
[4,3,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,1,2,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,3,5,1,6,2] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)
[4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6)
[4,3,5,6,1,2] => ([(0,5),(1,5),(2,3),(5,4)],6)
[4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6)
[4,3,6,1,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)
[4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,3,6,2,1,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,2,5,1] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)
[4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6)
[4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)
[4,5,1,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[4,5,1,6,2,3] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[4,5,1,6,3,2] => ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)
[4,5,2,1,3,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,1,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)
[4,5,2,3,1,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,3,6,1] => ([(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,6,1,3] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[4,5,2,6,3,1] => ([(1,4),(2,3),(2,5),(4,5)],6)
[4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,3,1,6,2] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[4,5,3,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6)
[4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6)
[4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6)
[4,5,6,1,3,2] => ([(0,5),(1,3),(1,4),(5,2)],6)
[4,5,6,2,1,3] => ([(0,5),(1,5),(2,3),(3,4)],6)
[4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6)
[4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6)
[4,5,6,3,2,1] => ([(3,4),(4,5)],6)
[4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)
[4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)
[4,6,2,1,3,5] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,2,3,1,5] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,3,5,1] => ([(1,4),(2,3),(2,5),(4,5)],6)
[4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,2,5,3,1] => ([(1,4),(1,5),(2,3),(2,5)],6)
[4,6,3,1,2,5] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)
[4,6,3,2,1,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[4,6,3,2,5,1] => ([(1,5),(2,5),(3,4),(3,5)],6)
[4,6,3,5,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6)
[4,6,3,5,2,1] => ([(2,5),(3,4),(3,5)],6)
[4,6,5,1,2,3] => ([(0,5),(1,3),(1,4),(5,2)],6)
[4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6)
[4,6,5,2,1,3] => ([(0,5),(1,5),(2,3),(2,4)],6)
[4,6,5,2,3,1] => ([(1,5),(2,3),(2,4)],6)
[4,6,5,3,1,2] => ([(1,5),(2,3),(2,4)],6)
[4,6,5,3,2,1] => ([(3,4),(3,5)],6)
[5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)
[5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)
[5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,3,4,2,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)
[5,1,4,2,3,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)
[5,1,6,3,2,4] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[5,1,6,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[5,1,6,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)
[5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,2,1,3,6,4] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)
[5,2,1,4,3,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,4,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)
[5,2,1,6,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)
[5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,1,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6)
[5,2,3,6,1,4] => ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)
[5,2,3,6,4,1] => ([(1,5),(2,3),(3,4),(3,5)],6)
[5,2,4,1,3,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,1,6,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,3,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,4,6,1,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,2,4,6,3,1] => ([(1,5),(2,3),(2,4),(4,5)],6)
[5,2,6,1,3,4] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)
[5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,2,6,3,1,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,2,6,3,4,1] => ([(1,5),(2,3),(2,5),(3,4)],6)
[5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)
[5,2,6,4,3,1] => ([(1,5),(2,3),(2,4),(2,5)],6)
[5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,2,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[5,3,1,4,2,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2] => ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)
[5,3,1,6,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
[5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[5,3,2,1,6,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6)
[5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,6,4,1] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,4,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,1,6,2] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)
[5,3,4,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[5,3,4,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6)
[5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6)
[5,3,6,1,2,4] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[5,3,6,2,1,4] => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
[5,3,6,2,4,1] => ([(1,5),(2,4),(3,4),(3,5)],6)
[5,3,6,4,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6)
[5,3,6,4,2,1] => ([(2,5),(3,4),(3,5)],6)
[5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,1,2,6,3] => ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)
[5,4,1,3,2,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,4,1,3,6,2] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)
[5,4,1,6,2,3] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[5,4,1,6,3,2] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
[5,4,2,1,3,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,4,2,1,6,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,2,3,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[5,4,2,6,1,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
[5,4,2,6,3,1] => ([(1,5),(2,5),(3,4),(3,5)],6)
[5,4,3,1,2,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,3,1,6,2] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2] => ([(0,5),(1,5),(2,5),(3,4)],6)
[5,4,3,6,2,1] => ([(2,5),(3,5),(4,5)],6)
[5,4,6,1,2,3] => ([(0,5),(1,5),(2,3),(3,4)],6)
[5,4,6,1,3,2] => ([(0,5),(1,5),(2,3),(2,4)],6)
[5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6)
[5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6)
[5,4,6,3,2,1] => ([(3,5),(4,5)],6)
[5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6)
[5,6,1,2,4,3] => ([(0,4),(1,5),(5,2),(5,3)],6)
[5,6,1,3,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[5,6,1,3,4,2] => ([(0,4),(1,3),(1,5),(5,2)],6)
[5,6,1,4,2,3] => ([(0,4),(1,3),(1,5),(5,2)],6)
[5,6,1,4,3,2] => ([(0,5),(1,2),(1,3),(1,4)],6)
[5,6,2,1,3,4] => ([(0,5),(1,5),(2,3),(5,4)],6)
[5,6,2,1,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)
[5,6,2,3,1,4] => ([(0,5),(1,3),(2,4),(4,5)],6)
[5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6)
[5,6,2,4,1,3] => ([(0,5),(1,3),(2,4),(2,5)],6)
[5,6,2,4,3,1] => ([(1,5),(2,3),(2,4)],6)
[5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6)
[5,6,3,1,4,2] => ([(0,5),(1,3),(2,4),(2,5)],6)
[5,6,3,2,1,4] => ([(0,5),(1,5),(2,5),(3,4)],6)
[5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6)
[5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6)
[5,6,3,4,2,1] => ([(2,5),(3,4)],6)
[5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6)
[5,6,4,1,3,2] => ([(1,5),(2,3),(2,4)],6)
[5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6)
[5,6,4,2,3,1] => ([(2,5),(3,4)],6)
[5,6,4,3,1,2] => ([(2,5),(3,4)],6)
[5,6,4,3,2,1] => ([(4,5)],6)
[6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[6,1,2,5,3,4] => ([(1,5),(4,3),(5,2),(5,4)],6)
[6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[6,1,3,4,5,2] => ([(1,3),(1,5),(4,2),(5,4)],6)
[6,1,3,5,2,4] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[6,1,3,5,4,2] => ([(1,4),(1,5),(5,2),(5,3)],6)
[6,1,4,2,3,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[6,1,4,2,5,3] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[6,1,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[6,1,4,3,5,2] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[6,1,4,5,2,3] => ([(1,4),(1,5),(4,3),(5,2)],6)
[6,1,4,5,3,2] => ([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[6,1,5,2,4,3] => ([(1,4),(1,5),(5,2),(5,3)],6)
[6,1,5,3,2,4] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[6,1,5,3,4,2] => ([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,4,2,3] => ([(1,3),(1,4),(1,5),(5,2)],6)
[6,1,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5)],6)
[6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[6,2,1,4,3,5] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,1,4,5,3] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[6,2,1,5,3,4] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[6,2,1,5,4,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6)
[6,2,3,1,5,4] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6)
[6,2,3,5,1,4] => ([(1,5),(2,3),(3,4),(3,5)],6)
[6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6)
[6,2,4,1,3,5] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,1,5,3] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[6,2,4,3,1,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6)
[6,2,4,5,1,3] => ([(1,5),(2,3),(2,5),(3,4)],6)
[6,2,4,5,3,1] => ([(2,3),(2,4),(4,5)],6)
[6,2,5,1,3,4] => ([(1,5),(2,3),(2,5),(5,4)],6)
[6,2,5,1,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,2,5,3,1,4] => ([(1,5),(2,3),(2,4),(4,5)],6)
[6,2,5,3,4,1] => ([(2,3),(2,4),(4,5)],6)
[6,2,5,4,1,3] => ([(1,5),(2,3),(2,4),(2,5)],6)
[6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6)
[6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6)
[6,3,1,2,5,4] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[6,3,1,4,2,5] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,4,5,2] => ([(1,5),(2,3),(2,5),(5,4)],6)
[6,3,1,5,2,4] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)
[6,3,1,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[6,3,2,1,4,5] => ([(1,5),(2,5),(3,5),(5,4)],6)
[6,3,2,1,5,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6)
[6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6)
[6,3,2,5,1,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,4,1,2,5] => ([(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,1,5,2] => ([(1,4),(2,3),(2,5),(4,5)],6)
[6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6)
[6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6)
[6,3,4,5,2,1] => ([(3,4),(4,5)],6)
[6,3,5,1,2,4] => ([(1,4),(2,3),(2,5),(4,5)],6)
[6,3,5,1,4,2] => ([(1,4),(1,5),(2,3),(2,5)],6)
[6,3,5,2,1,4] => ([(1,5),(2,5),(3,4),(3,5)],6)
[6,3,5,2,4,1] => ([(2,5),(3,4),(3,5)],6)
[6,3,5,4,1,2] => ([(1,5),(2,3),(2,4)],6)
[6,3,5,4,2,1] => ([(3,4),(3,5)],6)
[6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,2,5,3] => ([(1,5),(2,3),(3,4),(3,5)],6)
[6,4,1,3,2,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,4,1,3,5,2] => ([(1,5),(2,3),(2,4),(4,5)],6)
[6,4,1,5,2,3] => ([(1,5),(2,3),(2,5),(3,4)],6)
[6,4,1,5,3,2] => ([(1,5),(2,3),(2,4),(2,5)],6)
[6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,1,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6)
[6,4,2,5,1,3] => ([(1,5),(2,4),(3,4),(3,5)],6)
[6,4,2,5,3,1] => ([(2,5),(3,4),(3,5)],6)
[6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,3,1,5,2] => ([(1,5),(2,5),(3,4),(3,5)],6)
[6,4,3,2,1,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6)
[6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6)
[6,4,3,5,2,1] => ([(3,5),(4,5)],6)
[6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6)
[6,4,5,1,3,2] => ([(1,5),(2,3),(2,4)],6)
[6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6)
[6,4,5,2,3,1] => ([(2,5),(3,4)],6)
[6,4,5,3,1,2] => ([(2,5),(3,4)],6)
[6,4,5,3,2,1] => ([(4,5)],6)
[6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6)
[6,5,1,2,4,3] => ([(2,3),(3,4),(3,5)],6)
[6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[6,5,1,3,4,2] => ([(2,3),(2,4),(4,5)],6)
[6,5,1,4,2,3] => ([(2,3),(2,4),(4,5)],6)
[6,5,1,4,3,2] => ([(2,3),(2,4),(2,5)],6)
[6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6)
[6,5,2,1,4,3] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6)
[6,5,2,3,4,1] => ([(3,4),(4,5)],6)
[6,5,2,4,1,3] => ([(2,5),(3,4),(3,5)],6)
[6,5,2,4,3,1] => ([(3,4),(3,5)],6)
[6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6)
[6,5,3,1,4,2] => ([(2,5),(3,4),(3,5)],6)
[6,5,3,2,1,4] => ([(2,5),(3,5),(4,5)],6)
[6,5,3,2,4,1] => ([(3,5),(4,5)],6)
[6,5,3,4,1,2] => ([(2,5),(3,4)],6)
[6,5,3,4,2,1] => ([(4,5)],6)
[6,5,4,1,2,3] => ([(3,4),(4,5)],6)
[6,5,4,1,3,2] => ([(3,4),(3,5)],6)
[6,5,4,2,1,3] => ([(3,5),(4,5)],6)
[6,5,4,2,3,1] => ([(4,5)],6)
[6,5,4,3,1,2] => ([(4,5)],6)
[6,5,4,3,2,1] => ([],6)
[1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)
[1,2,3,4,6,5,7] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)
[1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)
[1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)
[1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)
[1,2,3,5,4,7,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)
[1,2,3,5,6,4,7] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
[1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)
[1,2,3,5,7,4,6] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)
[1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,2,3,6,4,5,7] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)
[1,2,3,6,4,7,5] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)
[1,2,3,6,5,4,7] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,6,5,7,4] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)
[1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)
[1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,2,3,7,5,4,6] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
[1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,6,4,5] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)
[1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,2,4,3,5,6,7] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
[1,2,4,3,5,7,6] => ([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)
[1,2,4,3,6,5,7] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)
[1,2,4,3,6,7,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)
[1,2,4,3,7,5,6] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)
[1,2,4,3,7,6,5] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)
[1,2,4,5,3,6,7] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
[1,2,4,5,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)
[1,2,4,5,6,3,7] => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)
[1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)
[1,2,4,5,7,3,6] => ([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)
[1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)
[1,2,4,6,3,5,7] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[1,2,4,6,3,7,5] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)
[1,2,4,6,5,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,4,6,5,7,3] => ([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,4,6,7,3,5] => ([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)
[1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,4,7,3,5,6] => ([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)
[1,2,4,7,3,6,5] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)
[1,2,4,7,5,3,6] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)
[1,2,4,7,5,6,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,4,7,6,3,5] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)
[1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)
[1,2,5,3,4,6,7] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)
[1,2,5,3,4,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)
[1,2,5,3,6,4,7] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
[1,2,5,3,6,7,4] => ([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)
[1,2,5,3,7,4,6] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)
[1,2,5,3,7,6,4] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)
[1,2,5,4,3,6,7] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,5,4,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,4,6,3,7] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
[1,2,5,4,6,7,3] => ([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,5,4,7,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,4,7,6,3] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,5,6,3,4,7] => ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
[1,2,5,6,3,7,4] => ([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,6,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,5,6,4,7,3] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)
[1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,5,7,3,4,6] => ([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,7,3,6,4] => ([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)
[1,2,5,7,4,3,6] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)
[1,2,5,7,4,6,3] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,5,7,6,3,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)
[1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,6,3,4,5,7] => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)
[1,2,6,3,4,7,5] => ([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)
[1,2,6,3,5,4,7] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,6,3,5,7,4] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)
[1,2,6,3,7,4,5] => ([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)
[1,2,6,3,7,5,4] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)
[1,2,6,4,3,5,7] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
[1,2,6,4,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,6,4,5,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,4,5,7,3] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,4,7,3,5] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,6,4,7,5,3] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,6,5,3,4,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,6,5,3,7,4] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)
[1,2,6,5,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,4,7,3] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,7,3,4] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)
[1,2,6,5,7,4,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)
[1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)
[1,2,6,7,4,3,5] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)
[1,2,6,7,4,5,3] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)
[1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)
[1,2,7,3,5,4,6] => ([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
[1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)
[1,2,7,3,6,5,4] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)
[1,2,7,4,3,5,6] => ([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
[1,2,7,4,3,6,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)
[1,2,7,4,5,3,6] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,7,4,6,3,5] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,7,5,3,4,6] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
[1,2,7,5,3,6,4] => ([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)
[1,2,7,5,4,3,6] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,5,4,6,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,5,6,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)
[1,2,7,5,6,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,3,4,5] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)
[1,2,7,6,3,5,4] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)
[1,2,7,6,4,3,5] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
[1,2,7,6,4,5,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,5,3,4] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)
[1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)
[1,3,2,4,5,6,7] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)
[1,3,2,4,5,7,6] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)
[1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
[1,3,2,4,6,7,5] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)
[1,3,2,4,7,5,6] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)
[1,3,2,4,7,6,5] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)
[1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)
[1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[1,3,2,5,6,4,7] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)
[1,3,2,5,6,7,4] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)
[1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)
[1,3,2,5,7,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)
[1,3,2,6,4,5,7] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)
[1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)
[1,3,2,6,5,4,7] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,3,2,6,5,7,4] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)
[1,3,2,6,7,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,4,5,6] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)
[1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)
[1,3,2,7,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[1,3,2,7,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)
[1,3,2,7,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[1,3,4,2,5,6,7] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
[1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)
[1,3,4,2,6,5,7] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)
[1,3,4,2,6,7,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,3,4,2,7,5,6] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,3,4,2,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)
[1,3,4,5,2,6,7] => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)
[1,3,4,5,2,7,6] => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)
[1,3,4,5,6,2,7] => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)
[1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[1,3,4,5,7,2,6] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)
[1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)
[1,3,4,6,2,5,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
[1,3,4,6,2,7,5] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)
[1,3,4,6,5,2,7] => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,3,4,6,5,7,2] => ([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)
[1,3,4,6,7,2,5] => ([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)
[1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,3,4,7,2,5,6] => ([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)
[1,3,4,7,2,6,5] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)
[1,3,4,7,5,2,6] => ([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,3,4,7,5,6,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,3,4,7,6,2,5] => ([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)
[1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)
[1,3,5,2,4,6,7] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[1,3,5,2,4,7,6] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)
[1,3,5,2,6,4,7] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)
[1,3,5,2,6,7,4] => ([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)
[1,3,5,2,7,4,6] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)
[1,3,5,2,7,6,4] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)
[1,3,5,4,2,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,3,5,4,2,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,5,4,6,2,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
[1,3,5,4,6,7,2] => ([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)
[1,3,5,4,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,3,5,4,7,6,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)
[1,3,5,6,2,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
[1,3,5,6,2,7,4] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)
[1,3,5,6,4,2,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,5,6,4,7,2] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,3,5,6,7,2,4] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,3,5,7,2,4,6] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[1,3,5,7,2,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)
[1,3,5,7,4,2,6] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,5,7,4,6,2] => ([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,5,7,6,2,4] => ([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)
[1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,3,6,2,4,7,5] => ([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)
[1,3,6,2,5,4,7] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,2,5,7,4] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)
[1,3,6,2,7,4,5] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,3,6,2,7,5,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)
[1,3,6,4,2,5,7] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
[1,3,6,4,2,7,5] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,6,4,5,2,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,6,4,5,7,2] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,3,6,4,7,2,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,3,6,4,7,5,2] => ([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,3,6,5,2,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,3,6,5,2,7,4] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)
[1,3,6,5,4,2,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,6,5,4,7,2] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,6,5,7,2,4] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,3,6,5,7,4,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,6,7,2,4,5] => ([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)
[1,3,6,7,2,5,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)
[1,3,6,7,4,2,5] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)
[1,3,6,7,4,5,2] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)
[1,3,6,7,5,2,4] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,2,4,5,6] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)
[1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)
[1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,3,7,2,6,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)
[1,3,7,4,2,5,6] => ([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,3,7,4,2,6,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,3,7,4,5,2,6] => ([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,3,7,4,5,6,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,3,7,4,6,2,5] => ([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)
[1,3,7,4,6,5,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,3,7,5,2,4,6] => ([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,3,7,5,2,6,4] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,3,7,5,4,2,6] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,7,5,4,6,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,3,7,5,6,2,4] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,3,7,5,6,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,6,2,4,5] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)
[1,3,7,6,2,5,4] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)
[1,3,7,6,4,2,5] => ([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,3,7,6,4,5,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,3,7,6,5,2,4] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)
[1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,4,2,3,5,6,7] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)
[1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)
[1,4,2,3,6,5,7] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)
[1,4,2,3,6,7,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,4,2,3,7,5,6] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)
[1,4,2,3,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)
[1,4,2,5,3,6,7] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
[1,4,2,5,3,7,6] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)
[1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,4,2,5,6,7,3] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)
[1,4,2,5,7,3,6] => ([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)
[1,4,2,5,7,6,3] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)
[1,4,2,6,3,5,7] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)
[1,4,2,6,3,7,5] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)
[1,4,2,6,5,3,7] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,5,7,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,7,3,5] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)
[1,4,2,6,7,5,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,4,2,7,3,5,6] => ([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)
[1,4,2,7,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)
[1,4,2,7,5,3,6] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)
[1,4,2,7,5,6,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)
[1,4,2,7,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)
[1,4,2,7,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)
[1,4,3,2,5,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
[1,4,3,2,5,7,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)
[1,4,3,2,6,5,7] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[1,4,3,2,6,7,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,2,7,5,6] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,2,7,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,5,2,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
[1,4,3,5,2,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,5,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
[1,4,3,5,6,7,2] => ([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)
[1,4,3,5,7,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)
[1,4,3,5,7,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)
[1,4,3,6,2,5,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,4,3,6,2,7,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,4,3,6,5,2,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,6,5,7,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,6,7,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)
[1,4,3,6,7,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,2,5,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,2,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,7,5,2,6] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,4,3,7,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,4,3,7,6,2,5] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,3,7,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,4,5,2,3,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
[1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)
[1,4,5,2,6,3,7] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
[1,4,5,2,6,7,3] => ([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)
[1,4,5,2,7,3,6] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)
[1,4,5,2,7,6,3] => ([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)
[1,4,5,3,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,4,5,3,2,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,4,5,3,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,4,5,3,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,4,5,3,7,2,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,4,5,3,7,6,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,4,5,6,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
[1,4,5,6,2,7,3] => ([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)
[1,4,5,6,3,2,7] => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,4,5,6,3,7,2] => ([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,4,5,7,2,3,6] => ([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)
[1,4,5,7,2,6,3] => ([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)
[1,4,5,7,3,2,6] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)
[1,4,5,7,3,6,2] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,4,5,7,6,2,3] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)
[1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,4,6,2,3,5,7] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
[1,4,6,2,3,7,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)
[1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,2,5,7,3] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[1,4,6,2,7,3,5] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)
[1,4,6,2,7,5,3] => ([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,6,3,2,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
[1,4,6,3,2,7,5] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,3,5,2,7] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,3,5,7,2] => ([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,6,3,7,2,5] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,3,7,5,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,4,6,5,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,4,6,5,2,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)
[1,4,6,5,3,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,4,6,5,3,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,4,6,5,7,2,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)
[1,4,6,5,7,3,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,4,6,7,2,3,5] => ([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)
[1,4,6,7,2,5,3] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[1,4,6,7,3,2,5] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)
[1,4,6,7,3,5,2] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,4,6,7,5,2,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,4,7,2,3,5,6] => ([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)
[1,4,7,2,3,6,5] => ([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)
[1,4,7,2,5,3,6] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)
[1,4,7,2,6,3,5] => ([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,2,6,5,3] => ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,2,5,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)
[1,4,7,3,2,6,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,5,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,4,7,3,5,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,4,7,3,6,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,3,6,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,4,7,5,2,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,4,7,5,2,6,3] => ([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)
[1,4,7,5,3,2,6] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,4,7,5,3,6,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,4,7,5,6,2,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,4,7,5,6,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,4,7,6,2,3,5] => ([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)
[1,4,7,6,2,5,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,3,2,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,3,5,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,4,7,6,5,2,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,5,2,3,4,6,7] => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)
[1,5,2,3,4,7,6] => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)
[1,5,2,3,6,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
[1,5,2,3,6,7,4] => ([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)
[1,5,2,3,7,4,6] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)
[1,5,2,3,7,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)
[1,5,2,4,3,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,4,6,3,7] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
[1,5,2,4,6,7,3] => ([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
[1,5,2,4,7,3,6] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,4,7,6,3] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)
[1,5,2,6,3,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
[1,5,2,6,3,7,4] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[1,5,2,6,4,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,5,2,6,4,7,3] => ([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
[1,5,2,6,7,3,4] => ([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)
[1,5,2,6,7,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)
[1,5,2,7,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)
[1,5,2,7,3,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)
[1,5,2,7,4,3,6] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)
[1,5,2,7,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,5,2,7,6,3,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)
[1,5,2,7,6,4,3] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)
[1,5,3,2,4,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
[1,5,3,2,4,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[1,5,3,2,6,7,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,5,3,2,7,4,6] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)
[1,5,3,2,7,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,4,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,3,4,2,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,3,4,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,5,3,4,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,5,3,4,7,2,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,3,4,7,6,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,5,3,6,2,4,7] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,6,2,7,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[1,5,3,6,4,2,7] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,5,3,6,4,7,2] => ([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,5,3,6,7,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)
[1,5,3,6,7,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,5,3,7,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)
[1,5,3,7,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,4,2,6] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)
[1,5,3,7,4,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,3,7,6,2,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,5,4,2,3,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,4,2,3,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,2,6,3,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
[1,5,4,2,6,7,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)
[1,5,4,2,7,3,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,4,2,7,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,5,4,3,2,6,7] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
[1,5,4,3,2,7,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,5,4,3,6,7,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)
[1,5,4,3,7,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,7,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,3,7] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
[1,5,4,6,2,7,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)
[1,5,4,6,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,4,6,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,4,6,7,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)
[1,5,4,6,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,5,4,7,2,3,6] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,7,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,4,7,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,4,7,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,3,4,7] => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
[1,5,6,2,3,7,4] => ([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)
[1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
[1,5,6,2,7,3,4] => ([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)
[1,5,6,2,7,4,3] => ([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)
[1,5,6,3,2,4,7] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
[1,5,6,3,2,7,4] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,5,6,3,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,5,6,3,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)
[1,5,6,3,7,2,4] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)
[1,5,6,3,7,4,2] => ([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,5,6,4,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,5,6,4,2,7,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,6,4,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,5,6,4,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,5,6,4,7,2,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,5,6,4,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)
[1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)
[1,5,6,7,3,2,4] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)
[1,5,6,7,3,4,2] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,5,6,7,4,2,3] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,5,7,2,3,4,6] => ([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)
[1,5,7,2,3,6,4] => ([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)
[1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)
[1,5,7,2,4,6,3] => ([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)
[1,5,7,2,6,3,4] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[1,5,7,2,6,4,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)
[1,5,7,3,2,4,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)
[1,5,7,3,2,6,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,7,3,4,2,6] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,3,4,6,2] => ([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,5,7,3,6,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,5,7,3,6,4,2] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)
[1,5,7,4,2,3,6] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,4,2,6,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)
[1,5,7,4,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)
[1,5,7,4,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,5,7,4,6,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,5,7,4,6,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,5,7,6,2,3,4] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)
[1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)
[1,5,7,6,3,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)
[1,5,7,6,3,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,5,7,6,4,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,6,2,3,4,5,7] => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)
[1,6,2,3,4,7,5] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)
[1,6,2,3,5,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,6,2,3,5,7,4] => ([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
[1,6,2,3,7,4,5] => ([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)
[1,6,2,3,7,5,4] => ([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)
[1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
[1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,6,2,4,5,3,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,4,5,7,3] => ([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,4,7,3,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)
[1,6,2,4,7,5,3] => ([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)
[1,6,2,5,3,4,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
[1,6,2,5,3,7,4] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,6,2,5,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,5,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,5,7,3,4] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)
[1,6,2,5,7,4,3] => ([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
[1,6,2,7,3,4,5] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[1,6,2,7,3,5,4] => ([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)
[1,6,2,7,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)
[1,6,2,7,4,5,3] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,6,2,7,5,3,4] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)
[1,6,2,7,5,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)
[1,6,3,2,4,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
[1,6,3,2,4,7,5] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)
[1,6,3,2,5,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,3,2,5,7,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)
[1,6,3,2,7,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)
[1,6,3,2,7,5,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,6,3,4,2,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,6,3,4,2,7,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,3,4,5,2,7] => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,3,4,5,7,2] => ([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,6,3,4,7,2,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)
[1,6,3,4,7,5,2] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,6,3,5,2,4,7] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,3,5,2,7,4] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)
[1,6,3,5,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,3,5,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,6,3,5,7,2,4] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)
[1,6,3,5,7,4,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,6,3,7,2,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)
[1,6,3,7,2,5,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,6,3,7,4,2,5] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)
[1,6,3,7,4,5,2] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,6,3,7,5,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)
[1,6,3,7,5,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,6,4,2,3,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
[1,6,4,2,3,7,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,4,2,5,3,7] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,4,2,5,7,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,6,4,2,7,3,5] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)
[1,6,4,2,7,5,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,6,4,3,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[1,6,4,3,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,5,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,4,3,5,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,4,3,7,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,7,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
[1,6,4,5,2,7,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,4,5,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,4,5,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,6,4,5,7,2,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,4,5,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,6,4,7,2,3,5] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)
[1,6,4,7,2,5,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,6,4,7,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,4,7,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,4,7,5,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,4,7,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,6,5,2,3,4,7] => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,5,2,3,7,4] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)
[1,6,5,2,4,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,2,4,7,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,2,7,3,4] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)
[1,6,5,2,7,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)
[1,6,5,3,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,6,5,3,2,7,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,4,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,3,4,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,6,5,3,7,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
[1,6,5,3,7,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,6,5,4,2,3,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,4,2,7,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)
[1,6,5,4,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,4,7,2,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,5,4,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,3,4] => ([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)
[1,6,5,7,2,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)
[1,6,5,7,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)
[1,6,5,7,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,5,7,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,5,7,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)
[1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)
[1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)
[1,6,7,2,5,4,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)
[1,6,7,3,2,4,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)
[1,6,7,3,2,5,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)
[1,6,7,3,4,2,5] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,7,3,4,5,2] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,6,7,3,5,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,7,3,5,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,6,7,4,2,3,5] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)
[1,6,7,4,2,5,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)
[1,6,7,4,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)
[1,6,7,4,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)
[1,6,7,4,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,2,3,4] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,6,7,5,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,6,7,5,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,6,7,5,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)
[1,7,2,3,5,4,6] => ([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)
[1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)
[1,7,2,3,6,5,4] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)
[1,7,2,4,3,5,6] => ([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)
[1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)
[1,7,2,4,5,3,6] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,7,2,4,6,3,5] => ([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,7,2,4,6,5,3] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,7,2,5,3,4,6] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)
[1,7,2,5,3,6,4] => ([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)
[1,7,2,5,4,3,6] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,5,4,6,3] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)
[1,7,2,5,6,4,3] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)
[1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)
[1,7,2,6,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)
[1,7,2,6,4,5,3] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,5,3,4] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)
[1,7,2,6,5,4,3] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)
[1,7,3,2,4,5,6] => ([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)
[1,7,3,2,4,6,5] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)
[1,7,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,7,3,2,5,6,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,7,3,2,6,4,5] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)
[1,7,3,2,6,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,7,3,4,2,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,7,3,4,2,6,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,7,3,4,5,2,6] => ([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,7,3,4,6,2,5] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,7,3,5,2,4,6] => ([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,7,3,5,2,6,4] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,7,3,5,4,2,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,3,5,4,6,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,7,3,5,6,2,4] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,7,3,5,6,4,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,3,6,2,4,5] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,7,3,6,2,5,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,7,3,6,4,2,5] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,3,6,4,5,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,3,6,5,2,4] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,7,4,2,3,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)
[1,7,4,2,3,6,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)
[1,7,4,2,5,3,6] => ([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)
[1,7,4,2,5,6,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)
[1,7,4,2,6,3,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)
[1,7,4,2,6,5,3] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)
[1,7,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)
[1,7,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,7,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,7,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,4,5,2,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)
[1,7,4,5,2,6,3] => ([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,7,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,4,5,6,2,3] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,7,4,5,6,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,4,6,2,3,5] => ([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)
[1,7,4,6,2,5,3] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)
[1,7,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,7,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,4,6,5,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,7,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,5,2,3,4,6] => ([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)
[1,7,5,2,3,6,4] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)
[1,7,5,2,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,5,2,4,6,3] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)
[1,7,5,2,6,3,4] => ([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)
[1,7,5,2,6,4,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)
[1,7,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,7,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)
[1,7,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)
[1,7,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)
[1,7,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,7,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)
[1,7,5,6,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)
[1,7,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)
[1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,2,3,4,5] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)
[1,7,6,2,3,5,4] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)
[1,7,6,2,4,3,5] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)
[1,7,6,2,4,5,3] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,6,2,5,3,4] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)
[1,7,6,2,5,4,3] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)
[1,7,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)
[1,7,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,7,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)
[1,7,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)
[1,7,6,4,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)
[1,7,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)
[1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)
[1,7,6,5,2,4,3] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)
[1,7,6,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)
[1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)
[2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[2,1,3,4,5,7,6] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)
[2,1,3,4,6,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)
[2,1,3,4,6,7,5] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)
[2,1,3,4,7,5,6] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)
[2,1,3,4,7,6,5] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)
[2,1,3,5,4,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)
[2,1,3,5,4,7,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)
[2,1,3,5,6,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)
[2,1,3,5,6,7,4] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)
[2,1,3,5,7,4,6] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)
[2,1,3,5,7,6,4] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)
[2,1,3,6,4,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)
[2,1,3,6,4,7,5] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)
[2,1,3,6,5,4,7] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,1,3,6,5,7,4] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)
[2,1,3,6,7,4,5] => ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)
[2,1,3,6,7,5,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,4,5,6] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)
[2,1,3,7,4,6,5] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)
[2,1,3,7,5,4,6] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)
[2,1,3,7,5,6,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,6,4,5] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)
[2,1,3,7,6,5,4] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[2,1,4,3,5,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)
[2,1,4,3,5,7,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)
[2,1,4,3,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)
[2,1,4,3,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,5,3,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)
[2,1,4,5,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)
[2,1,4,5,6,3,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)
[2,1,4,5,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)
[2,1,4,5,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)
[2,1,4,5,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)
[2,1,4,6,3,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,4,6,3,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)
[2,1,4,6,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,1,4,6,5,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)
[2,1,4,6,7,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)
[2,1,4,6,7,5,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,4,7,3,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,4,7,3,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,7,5,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)
[2,1,4,7,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,4,7,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,4,7,6,5,3] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,1,5,3,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)
[2,1,5,3,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)
[2,1,5,3,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,5,3,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)
[2,1,5,3,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)
[2,1,5,3,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,5,4,3,6,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)
[2,1,5,4,3,7,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,3,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)
[2,1,5,4,6,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)
[2,1,5,4,7,3,6] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)
[2,1,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)
[2,1,5,6,3,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)
[2,1,5,6,3,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)
[2,1,5,6,4,3,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,5,6,4,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,5,6,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,1,5,6,7,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,5,7,3,4,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)
[2,1,5,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)
[2,1,5,7,4,3,6] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,1,5,7,4,6,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,5,7,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,1,5,7,6,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,6,3,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)
[2,1,6,3,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)
[2,1,6,3,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,1,6,3,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)
[2,1,6,3,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)
[2,1,6,3,7,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)
[2,1,6,4,3,5,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)
[2,1,6,4,3,7,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)
[2,1,6,4,5,3,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,6,4,5,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,6,4,7,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)
[2,1,6,4,7,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,6,5,3,4,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)
[2,1,6,5,3,7,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)
[2,1,6,5,4,3,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,5,4,7,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,1,6,5,7,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)
[2,1,6,5,7,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,6,7,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[2,1,6,7,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)
[2,1,6,7,4,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)
[2,1,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,6,7,5,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,6,7,5,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,3,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)
[2,1,7,3,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)
[2,1,7,3,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)
[2,1,7,3,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,7,3,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)
[2,1,7,3,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,1,7,4,3,5,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)
[2,1,7,4,3,6,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)
[2,1,7,4,5,3,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,7,4,5,6,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,7,4,6,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,7,4,6,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,7,5,3,4,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)
[2,1,7,5,3,6,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)
[2,1,7,5,4,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,4,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,7,5,6,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)
[2,1,7,5,6,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,3,4,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)
[2,1,7,6,3,5,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)
[2,1,7,6,4,3,5] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)
[2,1,7,6,4,5,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,5,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)
[2,1,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)
[2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[2,3,1,4,5,7,6] => ([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)
[2,3,1,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)
[2,3,1,4,6,7,5] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[2,3,1,4,7,5,6] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)
[2,3,1,4,7,6,5] => ([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)
[2,3,1,5,4,6,7] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)
[2,3,1,5,4,7,6] => ([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)
[2,3,1,5,6,4,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[2,3,1,5,6,7,4] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[2,3,1,5,7,4,6] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[2,3,1,5,7,6,4] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[2,3,1,6,4,5,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)
[2,3,1,6,4,7,5] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)
[2,3,1,6,5,4,7] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,1,6,5,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[2,3,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)
[2,3,1,6,7,5,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,4,5,6] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)
[2,3,1,7,4,6,5] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)
[2,3,1,7,5,4,6] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)
[2,3,1,7,5,6,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,6,4,5] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)
[2,3,1,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)
[2,3,4,1,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[2,3,4,1,5,7,6] => ([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)
[2,3,4,1,6,5,7] => ([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[2,3,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[2,3,4,1,7,5,6] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)
[2,3,4,1,7,6,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[2,3,4,5,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)
[2,3,4,5,6,1,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,6,7,1] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[2,3,4,5,7,1,6] => ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)
[2,3,4,5,7,6,1] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[2,3,4,6,1,5,7] => ([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)
[2,3,4,6,1,7,5] => ([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)
[2,3,4,6,5,1,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,6,5,7,1] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,6,7,1,5] => ([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)
[2,3,4,6,7,5,1] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[2,3,4,7,1,5,6] => ([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)
[2,3,4,7,1,6,5] => ([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)
[2,3,4,7,5,1,6] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)
[2,3,4,7,5,6,1] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[2,3,4,7,6,1,5] => ([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)
[2,3,4,7,6,5,1] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)
[2,3,5,1,4,6,7] => ([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)
[2,3,5,1,4,7,6] => ([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[2,3,5,1,6,4,7] => ([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)
[2,3,5,1,6,7,4] => ([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)
[2,3,5,1,7,4,6] => ([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)
[2,3,5,1,7,6,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)
[2,3,5,4,1,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,5,4,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,4,6,1,7] => ([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)
[2,3,5,4,6,7,1] => ([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,5,4,7,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,4,7,6,1] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,5,6,1,4,7] => ([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)
[2,3,5,6,1,7,4] => ([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)
[2,3,5,6,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,5,6,4,7,1] => ([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,5,6,7,1,4] => ([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)
[2,3,5,6,7,4,1] => ([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[2,3,5,7,1,4,6] => ([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)
[2,3,5,7,1,6,4] => ([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)
[2,3,5,7,4,1,6] => ([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,5,7,4,6,1] => ([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,5,7,6,1,4] => ([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)
[2,3,5,7,6,4,1] => ([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[2,3,6,1,4,5,7] => ([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)
[2,3,6,1,4,7,5] => ([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)
[2,3,6,1,5,4,7] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,6,1,5,7,4] => ([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)
[2,3,6,1,7,4,5] => ([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)
[2,3,6,1,7,5,4] => ([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)
[2,3,6,4,1,5,7] => ([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)
[2,3,6,4,1,7,5] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,6,4,5,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,6,4,5,7,1] => ([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,6,4,7,1,5] => ([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,6,4,7,5,1] => ([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)
[2,3,6,5,1,4,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)
[2,3,6,5,1,7,4] => ([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)
[2,3,6,5,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,5,4,7,1] => ([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,5,7,1,4] => ([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)
[2,3,6,5,7,4,1] => ([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,6,7,1,4,5] => ([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)
[2,3,6,7,1,5,4] => ([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)
[2,3,6,7,4,1,5] => ([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)
[2,3,6,7,4,5,1] => ([(1,6),(4,3),(5,2),(6,4),(6,5)],7)
[2,3,6,7,5,1,4] => ([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[2,3,6,7,5,4,1] => ([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,1,4,5,6] => ([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)
[2,3,7,1,4,6,5] => ([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)
[2,3,7,1,5,4,6] => ([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)
[2,3,7,1,5,6,4] => ([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[2,3,7,1,6,4,5] => ([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)
[2,3,7,1,6,5,4] => ([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)
[2,3,7,4,1,5,6] => ([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)
[2,3,7,4,1,6,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)
[2,3,7,4,5,1,6] => ([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)
[2,3,7,4,5,6,1] => ([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[2,3,7,4,6,1,5] => ([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)
[2,3,7,4,6,5,1] => ([(1,6),(5,3),(5,4),(6,2),(6,5)],7)
[2,3,7,5,1,4,6] => ([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)
[2,3,7,5,1,6,4] => ([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)
[2,3,7,5,4,1,6] => ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,5,4,6,1] => ([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,5,6,1,4] => ([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[2,3,7,5,6,4,1] => ([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,6,1,4,5] => ([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)
[2,3,7,6,1,5,4] => ([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)
[2,3,7,6,4,1,5] => ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)
[2,3,7,6,4,5,1] => ([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[2,3,7,6,5,1,4] => ([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)
[2,3,7,6,5,4,1] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)
[2,4,1,3,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[2,4,1,3,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)
[2,4,1,3,6,5,7] => ([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)
[2,4,1,3,6,7,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[2,4,1,3,7,5,6] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)
[2,4,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)
[2,4,1,5,3,6,7] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)
[2,4,1,5,3,7,6] => ([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)
[2,4,1,5,6,3,7] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)
[2,4,1,5,6,7,3] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)
[2,4,1,5,7,3,6] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)
[2,4,1,5,7,6,3] => ([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)
[2,4,1,6,3,5,7] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)
[2,4,1,6,3,7,5] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)
[2,4,1,6,5,3,7] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,4,1,6,5,7,3] => ([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)
[2,4,1,6,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)
[2,4,1,6,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[2,4,1,7,3,5,6] => ([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)
[2,4,1,7,3,6,5] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)
[2,4,1,7,5,3,6] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)
[2,4,1,7,5,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)
[2,4,1,7,6,3,5] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)
[2,4,1,7,6,5,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)
[2,4,3,1,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[2,4,3,1,5,7,6] => ([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,1,6,5,7] => ([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,1,6,7,5] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,1,7,5,6] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,1,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,5,1,6,7] => ([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)
[2,4,3,5,1,7,6] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,5,6,1,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)
[2,4,3,5,6,7,1] => ([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[2,4,3,5,7,1,6] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)
[2,4,3,5,7,6,1] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[2,4,3,6,1,5,7] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,6,1,7,5] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[2,4,3,6,5,1,7] => ([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,3,6,5,7,1] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,4,3,6,7,1,5] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)
[2,4,3,6,7,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,1,5,6] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,1,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,7,5,1,6] => ([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[2,4,3,7,5,6,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)
[2,4,3,7,6,1,5] => ([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,3,7,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,5,1,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)
[2,4,5,1,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)
[2,4,5,1,6,3,7] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)
[2,4,5,1,6,7,3] => ([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)
[2,4,5,1,7,3,6] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)
[2,4,5,1,7,6,3] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)
[2,4,5,3,1,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,4,5,3,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,3,6,1,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[2,4,5,3,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,4,5,3,7,1,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,3,7,6,1] => ([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,4,5,6,1,3,7] => ([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)
[2,4,5,6,1,7,3] => ([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)
[2,4,5,6,3,1,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,4,5,6,3,7,1] => ([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)
[2,4,5,6,7,3,1] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[2,4,5,7,1,3,6] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)
[2,4,5,7,1,6,3] => ([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)
[2,4,5,7,3,1,6] => ([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[2,4,5,7,3,6,1] => ([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[2,4,5,7,6,1,3] => ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)
[2,4,5,7,6,3,1] => ([(1,4),(1,5),(5,6),(6,2),(6,3)],7)
[2,4,6,1,3,5,7] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)
[2,4,6,1,3,7,5] => ([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)
[2,4,6,1,5,3,7] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
[2,4,6,1,5,7,3] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)
[2,4,6,1,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)
[2,4,6,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)
[2,4,6,3,1,5,7] => ([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)
[2,4,6,3,1,7,5] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,3,5,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,6,3,5,7,1] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,6,3,7,1,5] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,3,7,5,1] => ([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,4,6,5,1,3,7] => ([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)
[2,4,6,5,1,7,3] => ([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)
[2,4,6,5,3,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,6,5,3,7,1] => ([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,6,5,7,1,3] => ([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)
[2,4,6,5,7,3,1] => ([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)
[2,4,6,7,1,5,3] => ([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)
[2,4,6,7,3,1,5] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[2,4,6,7,3,5,1] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[2,4,6,7,5,1,3] => ([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[2,4,6,7,5,3,1] => ([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,4,7,1,3,5,6] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)
[2,4,7,1,3,6,5] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)
[2,4,7,1,5,3,6] => ([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)
[2,4,7,1,5,6,3] => ([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)
[2,4,7,1,6,3,5] => ([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)
[2,4,7,1,6,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)
[2,4,7,3,1,5,6] => ([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,4,7,3,1,6,5] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,3,5,1,6] => ([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)
[2,4,7,3,5,6,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,4,7,3,6,1,5] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,3,6,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,4,7,5,1,3,6] => ([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)
[2,4,7,5,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)
[2,4,7,5,3,1,6] => ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,7,5,3,6,1] => ([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[2,4,7,5,6,1,3] => ([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)
[2,4,7,5,6,3,1] => ([(1,4),(1,6),(5,3),(6,2),(6,5)],7)
[2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)
[2,4,7,6,1,5,3] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)
[2,4,7,6,3,1,5] => ([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[2,4,7,6,3,5,1] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)
[2,4,7,6,5,3,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)
[2,5,1,3,4,6,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)
[2,5,1,3,4,7,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)
[2,5,1,3,6,4,7] => ([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)
[2,5,1,3,6,7,4] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)
[2,5,1,3,7,4,6] => ([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)
[2,5,1,3,7,6,4] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)
[2,5,1,4,3,6,7] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)
[2,5,1,4,3,7,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)
[2,5,1,4,6,7,3] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)
[2,5,1,4,7,3,6] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)
[2,5,1,4,7,6,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)
[2,5,1,6,3,4,7] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)
[2,5,1,6,3,7,4] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)
[2,5,1,6,4,3,7] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,4,7,3] => ([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)
[2,5,1,6,7,3,4] => ([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)
[2,5,1,6,7,4,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)
[2,5,1,7,3,4,6] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)
[2,5,1,7,3,6,4] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)
[2,5,1,7,4,3,6] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)
[2,5,1,7,4,6,3] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)
[2,5,1,7,6,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)
[2,5,1,7,6,4,3] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)
[2,5,3,1,4,6,7] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)
[2,5,3,1,4,7,6] => ([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)
[2,5,3,1,6,4,7] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,5,3,1,6,7,4] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)
[2,5,3,1,7,4,6] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
[2,5,3,1,7,6,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,4,1,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,5,3,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,4,6,1,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[2,5,3,4,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[2,5,3,4,7,1,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,4,7,6,1] => ([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)
[2,5,3,6,1,4,7] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[2,5,3,6,1,7,4] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)
[2,5,3,6,4,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,5,3,6,4,7,1] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[2,5,3,6,7,1,4] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)
[2,5,3,6,7,4,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)
[2,5,3,7,1,4,6] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)
[2,5,3,7,1,6,4] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,7,4,1,6] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)
[2,5,3,7,4,6,1] => ([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)
[2,5,3,7,6,1,4] => ([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,5,3,7,6,4,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)
[2,5,4,1,3,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)
[2,5,4,1,3,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,3,7] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[2,5,4,1,6,7,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)
[2,5,4,1,7,3,6] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,5,4,1,7,6,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[2,5,4,3,1,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,1,7,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,6,1,7] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,6,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[2,5,4,3,7,1,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,7,6,1] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,1,3,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)
[2,5,4,6,1,7,3] => ([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)
[2,5,4,6,3,1,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,4,6,3,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,4,6,7,1,3] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)
[2,5,4,6,7,3,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[2,5,4,7,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,5,4,7,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[2,5,4,7,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)