Values
([],1) => 1
([],2) => 1
([(0,1)],2) => 2
([],3) => 1
([(1,2)],3) => 2
([(0,1),(0,2)],3) => 2
([(0,2),(2,1)],3) => 3
([(0,2),(1,2)],3) => 2
([],4) => 1
([(2,3)],4) => 2
([(1,2),(1,3)],4) => 2
([(0,1),(0,2),(0,3)],4) => 2
([(0,2),(0,3),(3,1)],4) => 3
([(0,1),(0,2),(1,3),(2,3)],4) => 3
([(1,2),(2,3)],4) => 3
([(0,3),(3,1),(3,2)],4) => 3
([(1,3),(2,3)],4) => 2
([(0,3),(1,3),(3,2)],4) => 3
([(0,3),(1,3),(2,3)],4) => 2
([(0,3),(1,2)],4) => 2
([(0,3),(1,2),(1,3)],4) => 2
([(0,2),(0,3),(1,2),(1,3)],4) => 2
([(0,3),(2,1),(3,2)],4) => 4
([(0,3),(1,2),(2,3)],4) => 3
([],5) => 1
([(3,4)],5) => 2
([(2,3),(2,4)],5) => 2
([(1,2),(1,3),(1,4)],5) => 2
([(0,1),(0,2),(0,3),(0,4)],5) => 2
([(0,2),(0,3),(0,4),(4,1)],5) => 3
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 3
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
([(1,3),(1,4),(4,2)],5) => 3
([(0,3),(0,4),(4,1),(4,2)],5) => 3
([(1,2),(1,3),(2,4),(3,4)],5) => 3
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
([(0,3),(0,4),(3,2),(4,1)],5) => 3
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3
([(2,3),(3,4)],5) => 3
([(1,4),(4,2),(4,3)],5) => 3
([(0,4),(4,1),(4,2),(4,3)],5) => 3
([(2,4),(3,4)],5) => 2
([(1,4),(2,4),(4,3)],5) => 3
([(0,4),(1,4),(4,2),(4,3)],5) => 3
([(1,4),(2,4),(3,4)],5) => 2
([(0,4),(1,4),(2,4),(4,3)],5) => 3
([(0,4),(1,4),(2,4),(3,4)],5) => 2
([(0,4),(1,4),(2,3)],5) => 2
([(0,4),(1,3),(2,3),(2,4)],5) => 2
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,4),(2,3),(4,2)],5) => 4
([(0,4),(1,3),(2,3),(3,4)],5) => 3
([(0,4),(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,4),(2,3),(3,4)],5) => 3
([(1,4),(2,3)],5) => 2
([(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,2),(1,4),(2,3)],5) => 3
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3
([(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3
([(0,4),(1,2),(1,4),(4,3)],5) => 3
([(0,4),(1,2),(1,3)],5) => 2
([(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,2),(0,4),(3,1),(4,3)],5) => 4
([(0,4),(1,2),(1,3),(3,4)],5) => 3
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 3
([(0,3),(0,4),(1,2),(1,4)],5) => 2
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 3
([(0,3),(1,2),(1,4),(3,4)],5) => 3
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3
([(1,4),(3,2),(4,3)],5) => 4
([(0,3),(3,4),(4,1),(4,2)],5) => 4
([(1,4),(2,3),(3,4)],5) => 3
([(0,4),(1,2),(2,4),(4,3)],5) => 4
([(0,3),(1,4),(4,2)],5) => 3
([(0,4),(3,2),(4,1),(4,3)],5) => 4
([(0,4),(1,2),(2,3),(2,4)],5) => 3
([(0,4),(2,3),(3,1),(4,2)],5) => 5
([(0,3),(1,2),(2,4),(3,4)],5) => 3
([(0,4),(1,2),(2,3),(3,4)],5) => 4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
([],6) => 1
([(4,5)],6) => 2
([(3,4),(3,5)],6) => 2
([(2,3),(2,4),(2,5)],6) => 2
([(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 2
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 3
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 3
([(1,3),(1,4),(1,5),(5,2)],6) => 3
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 3
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 3
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
>>> Load all 1364 entries. <<<([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 4
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(2,3),(2,4),(4,5)],6) => 3
([(1,4),(1,5),(5,2),(5,3)],6) => 3
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 3
([(2,3),(2,4),(3,5),(4,5)],6) => 3
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
([(1,4),(1,5),(4,3),(5,2)],6) => 3
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 3
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 4
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 4
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 3
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 3
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 3
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(3,4),(4,5)],6) => 3
([(2,3),(3,4),(3,5)],6) => 3
([(1,5),(5,2),(5,3),(5,4)],6) => 3
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 3
([(2,3),(3,5),(5,4)],6) => 4
([(1,4),(4,5),(5,2),(5,3)],6) => 4
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 4
([(3,5),(4,5)],6) => 2
([(2,5),(3,5),(5,4)],6) => 3
([(1,5),(2,5),(5,3),(5,4)],6) => 3
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 3
([(2,5),(3,5),(4,5)],6) => 2
([(1,5),(2,5),(3,5),(5,4)],6) => 3
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 3
([(1,5),(2,5),(3,5),(4,5)],6) => 2
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 3
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
([(0,5),(1,5),(2,5),(3,4)],6) => 2
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 4
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 3
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 3
([(1,5),(2,5),(3,4)],6) => 2
([(1,5),(2,4),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 3
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(1,5),(2,5),(3,4),(5,3)],6) => 4
([(1,5),(2,4),(3,4),(4,5)],6) => 3
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4
([(0,5),(1,5),(2,3),(5,4)],6) => 3
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 4
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 3
([(1,5),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 3
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 3
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
([(0,5),(1,5),(2,3),(2,4)],6) => 2
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 3
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(1,5),(2,5),(3,4),(4,5)],6) => 3
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 4
([(0,5),(1,5),(2,3),(3,4)],6) => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 5
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 3
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 4
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,4),(3,4)],6) => 2
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 4
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 3
([(2,5),(3,4)],6) => 2
([(2,5),(3,4),(3,5)],6) => 2
([(1,5),(2,3),(2,5),(3,4)],6) => 3
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 3
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 3
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 4
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 3
([(2,4),(2,5),(3,4),(3,5)],6) => 2
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 3
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(1,5),(2,3),(2,5),(5,4)],6) => 3
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 3
([(1,5),(2,3),(2,4)],6) => 2
([(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 3
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 3
([(0,5),(1,2),(1,3),(1,4)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 4
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 3
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 4
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 3
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 3
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(1,3),(1,5),(4,2),(5,4)],6) => 4
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 4
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 4
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 4
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 4
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4
([(1,5),(2,3),(2,4),(4,5)],6) => 3
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 4
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 4
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 5
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 3
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 3
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 4
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 3
([(0,4),(1,3),(1,5),(5,2)],6) => 3
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 4
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 3
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 3
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 5
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 3
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 3
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
([(1,4),(1,5),(2,3),(2,5)],6) => 2
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 3
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 3
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 3
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 4
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 3
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 3
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 4
([(0,4),(0,5),(1,2),(1,3)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 2
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 3
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 3
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 4
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 3
([(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 4
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 4
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 3
([(0,5),(1,3),(1,4),(5,2)],6) => 3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 3
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 3
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 4
([(2,5),(3,4),(4,5)],6) => 3
([(1,5),(2,3),(3,5),(5,4)],6) => 4
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 4
([(1,3),(2,4),(4,5)],6) => 3
([(1,5),(4,3),(5,2),(5,4)],6) => 4
([(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 4
([(0,4),(1,5),(5,2),(5,3)],6) => 3
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 4
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 3
([(1,5),(3,4),(4,2),(5,3)],6) => 5
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 5
([(1,4),(2,3),(3,5),(4,5)],6) => 3
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 4
([(0,5),(1,4),(4,2),(5,3)],6) => 3
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 5
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 3
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(1,5),(2,3),(3,4),(4,5)],6) => 4
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 5
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 5
([(0,5),(1,4),(2,3)],6) => 2
([(0,5),(1,3),(2,4),(2,5)],6) => 2
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 4
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 3
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 2
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 3
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 3
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 4
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 4
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,5),(1,3),(4,2),(5,4)],6) => 4
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 4
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 4
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 5
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 4
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
([(0,5),(1,3),(2,4),(4,5)],6) => 3
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 3
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 5
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 4
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 4
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 5
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
([],7) => 1
([(5,6)],7) => 2
([(4,5),(4,6)],7) => 2
([(3,4),(3,5),(3,6)],7) => 2
([(2,3),(2,4),(2,5),(2,6)],7) => 2
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 3
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 3
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 3
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(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) => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 4
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(2,4),(2,5),(2,6),(6,3)],7) => 3
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 3
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 3
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 3
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 3
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 4
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 4
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 3
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 3
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 5
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 4
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 4
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 3
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 4
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 3
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 3
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 3
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(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) => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 4
([(3,4),(3,5),(5,6)],7) => 3
([(2,5),(2,6),(6,3),(6,4)],7) => 3
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 3
([(3,4),(3,5),(4,6),(5,6)],7) => 3
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 4
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 4
([(2,5),(2,6),(5,4),(6,3)],7) => 3
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 4
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 4
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 5
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 4
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 3
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 3
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 4
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 3
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 3
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 3
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 3
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 4
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 4
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 4
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 4
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 3
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 3
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 3
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 3
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 4
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 5
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 5
([(4,5),(5,6)],7) => 3
([(3,4),(4,5),(4,6)],7) => 3
([(2,6),(6,3),(6,4),(6,5)],7) => 3
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 3
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 3
([(3,4),(4,6),(6,5)],7) => 4
([(2,5),(5,6),(6,3),(6,4)],7) => 4
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 4
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
([(4,6),(5,6)],7) => 2
([(3,6),(4,6),(6,5)],7) => 3
([(2,6),(3,6),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 3
([(3,6),(4,6),(5,6)],7) => 2
([(2,6),(3,6),(4,6),(6,5)],7) => 3
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
([(2,6),(3,6),(4,6),(5,6)],7) => 2
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 3
([(1,6),(2,6),(3,6),(4,5)],7) => 2
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 5
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 5
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 5
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 5
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 4
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 4
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 3
([(2,6),(3,6),(4,5)],7) => 2
([(2,6),(3,5),(4,5),(4,6)],7) => 2
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 4
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 3
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 3
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 3
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 4
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 4
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 3
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 2
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 4
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(2,6),(3,6),(4,5),(6,4)],7) => 4
([(2,6),(3,5),(4,5),(5,6)],7) => 3
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 4
([(1,6),(2,6),(3,4),(6,5)],7) => 3
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 4
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 3
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 4
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 3
([(2,6),(3,6),(4,5),(4,6)],7) => 2
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 3
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(3,5)],7) => 2
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 4
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 3
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 3
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 3
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 3
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 2
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 4
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 3
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 3
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 5
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 3
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 3
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 4
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 3
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 5
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 4
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 4
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 4
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 4
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 4
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 3
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 5
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 4
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 4
([(2,6),(3,6),(4,5),(5,6)],7) => 3
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(4,5)],7) => 3
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 5
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 3
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 4
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 3
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 5
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 3
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 4
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 4
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 4
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 3
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 5
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 3
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 4
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 5
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 6
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 5
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 6
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 5
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 4
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 6
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 4
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 5
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 5
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 4
([(1,6),(2,6),(3,5),(4,5)],7) => 2
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 3
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 3
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 3
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 4
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 4
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 5
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 3
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 4
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 3
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(3,4)],7) => 2
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 3
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 3
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 5
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 2
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 4
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 3
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 4
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 3
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 3
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 4
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 3
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 2
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 4
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 4
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 4
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 3
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 3
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 5
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 3
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 5
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 5
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 3
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 5
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 5
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 4
([(3,6),(4,5)],7) => 2
([(3,6),(4,5),(4,6)],7) => 2
([(2,6),(3,4),(3,6),(4,5)],7) => 3
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 3
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 3
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 3
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 3
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 4
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 3
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 3
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 3
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 4
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 3
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 3
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 3
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 3
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 4
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 4
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 4
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 4
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 4
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 4
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(3,5),(3,6),(4,5),(4,6)],7) => 2
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 3
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 3
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 4
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 4
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 3
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 3
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 4
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 3
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 3
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 3
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 4
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 4
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 4
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 4
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 4
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4
([(2,6),(3,4),(3,6),(6,5)],7) => 3
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 3
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 3
([(2,6),(3,4),(3,5)],7) => 2
([(2,6),(3,4),(3,5),(3,6)],7) => 2
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 3
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 4
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 3
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 3
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 4
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 4
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 4
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 3
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 3
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 3
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 3
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 3
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 3
([(1,6),(2,3),(2,4),(2,5)],7) => 2
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 3
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 3
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 3
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 3
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 4
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 4
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 5
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 4
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 5
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 3
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 4
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 4
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 4
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 5
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 4
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 4
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 4
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 4
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 5
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 5
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 4
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 4
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 5
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 5
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 5
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 5
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 5
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 5
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 4
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 5
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 4
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 4
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 5
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 5
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 6
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 6
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 6
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 4
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 5
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 6
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 5
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 6
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 5
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 4
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 4
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 3
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 6
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 5
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 4
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 4
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 3
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 3
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 3
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 2
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2
([(4,6),(4,7),(5,6),(5,7)],8) => 2
([],8) => 1
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 4
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 4
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 4
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 4
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 4
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 4
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 4
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 4
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 4
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 4
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 4
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 4
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 3
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 2
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 2
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 3
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 3
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 2
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 2
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 2
([(4,7),(5,6)],8) => 2
([(0,7),(1,6),(2,5),(3,4)],8) => 2
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 2
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 3
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 3
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 3
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 3
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 3
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 3
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 3
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 3
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 2
([(2,7),(3,7),(4,6),(5,6)],8) => 2
([(2,5),(3,4),(4,6),(5,7)],8) => 3
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 3
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 3
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 3
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 3
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 3
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 3
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 3
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 3
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 2
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 2
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 2
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 2
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 3
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 3
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 3
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 3
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 3
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 2
([(2,6),(2,7),(3,4),(3,5)],8) => 2
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 3
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 3
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 2
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 2
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 2
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 5
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => 4
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => 4
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => 6
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => 5
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11) => 5
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11) => 5
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11) => 4
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11) => 4
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => 7
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) => 6
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13) => 6
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13) => 6
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13) => 5
([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13) => 5
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) => 6
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13) => 5
([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13) => 5
([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13) => 5
([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13) => 4
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,1 1,8,6,1 1,20,31,10,1 1,55,162,84,15,1
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = q + 3\ q^{2} + q^{3}$
$F_{4} = q + 8\ q^{2} + 6\ q^{3} + q^{4}$
$F_{5} = q + 20\ q^{2} + 31\ q^{3} + 10\ q^{4} + q^{5}$
$F_{6} = q + 55\ q^{2} + 162\ q^{3} + 84\ q^{4} + 15\ q^{5} + q^{6}$
Description
The height of a poset.
This equals the rank of the poset St000080The rank of the poset. plus one.
This equals the rank of the poset St000080The rank of the poset. plus one.
Code
def statistic(P):
return P.height()
Created
Jun 06, 2016 at 12:18 by Martin Rubey
Updated
May 14, 2018 at 20:42 by Martin Rubey
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