Identifier
Values
[[1],[]] => ([],1) => ([],1) => 1
[[2],[]] => ([(0,1)],2) => ([(0,1)],2) => 2
[[1,1],[]] => ([(0,1)],2) => ([(0,1)],2) => 2
[[2,1],[1]] => ([],2) => ([],2) => 1
[[3],[]] => ([(0,2),(2,1)],3) => ([(0,2),(1,2)],3) => 2
[[2,1],[]] => ([(0,1),(0,2)],3) => ([(0,2),(1,2)],3) => 2
[[3,1],[1]] => ([(1,2)],3) => ([(1,2)],3) => 2
[[2,2],[1]] => ([(0,2),(1,2)],3) => ([(0,2),(1,2)],3) => 2
[[3,2],[2]] => ([(1,2)],3) => ([(1,2)],3) => 2
[[1,1,1],[]] => ([(0,2),(2,1)],3) => ([(0,2),(1,2)],3) => 2
[[2,2,1],[1,1]] => ([(1,2)],3) => ([(1,2)],3) => 2
[[2,1,1],[1]] => ([(1,2)],3) => ([(1,2)],3) => 2
[[3,2,1],[2,1]] => ([],3) => ([],3) => 1
[[4],[]] => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[3,1],[]] => ([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[4,1],[1]] => ([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[2,2],[]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[[3,2],[1]] => ([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[4,2],[2]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => 2
[[2,1,1],[]] => ([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[3,2,1],[1,1]] => ([(1,2),(1,3)],4) => ([(1,3),(2,3)],4) => 2
[[3,1,1],[1]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => 2
[[4,2,1],[2,1]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[3,3],[2]] => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[4,3],[3]] => ([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[2,2,1],[1]] => ([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[3,3,1],[2,1]] => ([(1,3),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[3,2,1],[2]] => ([(1,2),(1,3)],4) => ([(1,3),(2,3)],4) => 2
[[4,3,1],[3,1]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[2,2,2],[1,1]] => ([(0,3),(1,2),(2,3)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[3,3,2],[2,2]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => 2
[[3,2,2],[2,1]] => ([(1,3),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[4,3,2],[3,2]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[1,1,1,1],[]] => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(1,2),(2,3)],4) => 2
[[2,2,2,1],[1,1,1]] => ([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[2,2,1,1],[1,1]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4) => 2
[[3,3,2,1],[2,2,1]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[2,1,1,1],[1]] => ([(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => 2
[[3,2,2,1],[2,1,1]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[3,2,1,1],[2,1]] => ([(2,3)],4) => ([(2,3)],4) => 2
[[4,3,2,1],[3,2,1]] => ([],4) => ([],4) => 1
[[5],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[5,1],[1]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,2],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[5,2],[2]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,1,1],[]] => ([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,2,1],[1,1]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[5,2,1],[2,1]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[4,3],[2]] => ([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[5,3],[3]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,3,1],[1,1]] => ([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[[3,2,1],[1]] => ([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,3,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,2,1],[2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[5,3,1],[3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[3,2,2],[1,1]] => ([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,3,2],[2,2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,2,2],[2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[5,3,2],[3,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[2,1,1,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[3,2,2,1],[1,1,1]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[3,2,1,1],[1,1]] => ([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,3,2,1],[2,2,1]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5) => 2
[[3,1,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,2,2,1],[2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[4,2,1,1],[2,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[5,3,2,1],[3,2,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[4,4],[3]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[5,4],[4]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[3,3,1],[2]] => ([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,4,1],[3,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,3,1],[3]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[5,4,1],[4,1]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[3,3,2],[2,1]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,4,2],[3,2]] => ([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,2,2],[2]] => ([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[[4,3,2],[3,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[5,4,2],[4,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[2,2,1,1],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[3,3,2,1],[2,1,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[3,3,1,1],[2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,4,2,1],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[3,2,1,1],[2]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,3,2,1],[3,1,1]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5) => 2
[[4,3,1,1],[3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[5,4,2,1],[4,2,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[3,3,3],[2,2]] => ([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[4,4,3],[3,3]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,3,3],[3,2]] => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[5,4,3],[4,3]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[2,2,2,1],[1,1]] => ([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[3,3,3,1],[2,2,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[3,3,2,1],[2,2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,4,3,1],[3,3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[3,2,2,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,3,3,1],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[4,3,2,1],[3,2]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5) => 2
[[5,4,3,1],[4,3,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[2,2,2,2],[1,1,1]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
>>> Load all 455 entries. <<<
[[3,3,3,2],[2,2,2]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,3,2,2],[2,2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[4,4,3,2],[3,3,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[3,2,2,2],[2,1,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[4,3,3,2],[3,2,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[4,3,2,2],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[5,4,3,2],[4,3,2]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[1,1,1,1,1],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,2,2,2,1],[1,1,1,1]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[2,2,2,1,1],[1,1,1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,3,3,2,1],[2,2,2,1]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => 2
[[3,3,2,2,1],[2,2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[3,3,2,1,1],[2,2,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[4,4,3,2,1],[3,3,2,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[2,1,1,1,1],[1]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(2,3),(3,4)],5) => 2
[[3,2,2,2,1],[2,1,1,1]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[3,2,2,1,1],[2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5) => 2
[[4,3,3,2,1],[3,2,2,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[3,2,1,1,1],[2,1]] => ([(2,3),(3,4)],5) => ([(2,4),(3,4)],5) => 2
[[4,3,2,2,1],[3,2,1,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[4,3,2,1,1],[3,2,1]] => ([(3,4)],5) => ([(3,4)],5) => 2
[[5,4,3,2,1],[4,3,2,1]] => ([],5) => ([],5) => 1
[[6],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[6,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,2],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[6,2],[2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,2,1],[1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[6,2,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,3],[2]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[6,3],[3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,2,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,3,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,2,1],[2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[6,3,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,2,2],[1,1]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,3,2],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,2,2],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[6,3,2],[3,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,1,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,2,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,2,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,3,2,1],[2,2,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,1,1,1],[1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,2,2,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,2,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,3,2,1],[3,2,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[5,4],[3]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[6,4],[4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,3,1],[2]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,4,1],[3,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,3,1],[3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[6,4,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 3
[[4,3,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,4,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,2,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 3
[[5,3,2],[3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[6,4,2],[4,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[3,3,1,1],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 3
[[4,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[[3,2,1,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,3,2,1],[2,1,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,4,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,2,1,1],[2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,3,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,3,1,1],[3,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[6,4,2,1],[4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,4,3],[3,3]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,3,3],[3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[6,4,3],[4,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,2,2,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,3,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,2,1],[2,2]] => ([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,4,3,1],[3,3,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,2,2,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,3,3,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,3,2,1],[3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,4,3,1],[4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,2,2,2],[1,1,1]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,3,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,3,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,4,3,2],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,2,2,2],[2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[5,3,2,2],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,4,3,2],[4,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[2,1,1,1,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[3,2,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[3,2,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,3,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[3,2,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,2,1,1],[2,2,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => 2
[[3,1,1,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,2,2,2,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[5,3,3,2,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,2,1,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,3,2,2,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,3,2,1,1],[3,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[6,4,3,2,1],[4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[5,5],[4]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[6,5],[5]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,4,1],[3]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,5,1],[4,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,1],[4]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[6,5,1],[5,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,4,2],[3,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,5,2],[4,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,4,2],[4,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[6,5,2],[5,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,1,1],[2]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,4,1,1],[3,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,5,2,1],[4,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,3,1,1],[3]] => ([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,2,1],[4,1,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,1,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,5,2,1],[5,2,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[4,4,3],[3,2]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,5,3],[4,3]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,4,3],[4,2]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[6,5,3],[5,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,2,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,3,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,4,2,1],[3,2]] => ([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,5,3,1],[4,3,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,1],[3,1,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[[4,3,2,1],[3,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,3,1],[4,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,2,1],[4,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,5,3,1],[5,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,3,2,2],[2,1,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,3,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[5,5,3,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,2,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,3,2],[4,2,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,2,2],[4,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[6,5,3,2],[5,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[2,2,1,1,1],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[3,3,2,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[3,3,2,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,3,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[3,3,1,1,1],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,4,2,2,1],[3,2,1,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,2,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,5,3,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[3,2,1,1,1],[2]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,2,2,1],[3,1,1,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,3,2,1,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,3,2,1],[4,2,2,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => 2
[[4,3,1,1,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,2,2,1],[4,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,4,2,1,1],[4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[6,5,3,2,1],[5,3,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[4,4,4],[3,3]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[5,5,4],[4,4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,4,4],[4,3]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[6,5,4],[5,4]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[3,3,3,1],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,4,1],[3,3,1]] => ([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,4,3,1],[3,3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,5,4,1],[4,4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,1],[3,2]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,4,1],[4,3,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,3,1],[4,3]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[6,5,4,1],[5,4,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[3,3,3,2],[2,2,1]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,4,2],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[3,3,2,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 3
[[4,4,3,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,5,4,2],[4,4,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[4,3,3,2],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,4,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,2,2],[3,2]] => ([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[[5,4,3,2],[4,3,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[6,5,4,2],[5,4,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[2,2,2,1,1],[1,1]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[3,3,3,2,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[3,3,3,1,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,4,2,1],[3,3,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[3,3,2,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,3,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,3,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[5,5,4,2,1],[4,4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,2,2,1,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,3,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,3,3,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,4,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[4,3,2,1,1],[3,2]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,3,2,1],[4,3,1,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => 2
[[5,4,3,1,1],[4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[6,5,4,2,1],[5,4,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[3,3,3,3],[2,2,2]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[4,4,4,3],[3,3,3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,4,3,3],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[5,5,4,3],[4,4,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,3],[3,2,2]] => ([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[5,4,4,3],[4,3,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,3,3],[4,3,2]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[6,5,4,3],[5,4,3]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[2,2,2,2,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[3,3,3,3,1],[2,2,2,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[3,3,3,2,1],[2,2,2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,4,4,3,1],[3,3,3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,2,2,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,3,3,1],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,3,2,1],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,5,4,3,1],[4,4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,2,2,2,1],[2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,3,3,1],[3,2,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,3,3,2,1],[3,2,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,4,3,1],[4,3,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,3,2,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,3,3,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[5,4,3,2,1],[4,3,2]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6) => 2
[[6,5,4,3,1],[5,4,3,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[3,3,3,3,2],[2,2,2,2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[3,3,3,2,2],[2,2,2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[4,4,4,3,2],[3,3,3,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,2,2,2],[2,2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[4,4,3,3,2],[3,3,2,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[4,4,3,2,2],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,5,4,3,2],[4,4,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,2,2,2,2],[2,1,1,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[4,3,3,3,2],[3,2,2,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,2,2],[3,2,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[5,4,4,3,2],[4,3,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,3,2,2,2],[3,2,1,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[5,4,3,3,2],[4,3,2,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,4,3,2,2],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[6,5,4,3,2],[5,4,3,2]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[1,1,1,1,1,1],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[2,2,2,2,2,1],[1,1,1,1,1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[2,2,2,2,1,1],[1,1,1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[3,3,3,3,2,1],[2,2,2,2,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[[3,3,3,2,2,1],[2,2,2,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,3,2,1,1],[2,2,2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[2,2,1,1,1,1],[1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[[3,3,2,2,2,1],[2,2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[3,3,2,2,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6) => 2
[[4,4,3,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[3,3,2,1,1,1],[2,2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,4,3,2,2,1],[3,3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,4,3,2,1,1],[3,3,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[2,1,1,1,1,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[[3,2,2,2,2,1],[2,1,1,1,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[3,2,2,2,1,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,3,2,1],[3,2,2,2,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[3,2,2,1,1,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,2),(3,5),(4,5)],6) => 2
[[4,3,3,2,2,1],[3,2,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[4,3,3,2,1,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,4,4,3,2,1],[4,3,3,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[3,2,1,1,1,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,5),(3,4),(4,5)],6) => 2
[[4,3,2,2,2,1],[3,2,1,1,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[4,3,2,2,1,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6) => 2
[[5,4,3,3,2,1],[4,3,2,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[4,3,2,1,1,1],[3,2,1]] => ([(3,4),(4,5)],6) => ([(3,5),(4,5)],6) => 2
[[5,4,3,2,2,1],[4,3,2,1,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[5,4,3,2,1,1],[4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6) => 2
[[6,5,4,3,2,1],[5,4,3,2,1]] => ([],6) => ([],6) => 1
[[7],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,2],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,3],[2]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,2,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,2,2],[1,1]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,1,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,4],[3]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,3,1],[2]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,3,2],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,2,1,1],[1]] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,3,3],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,2,2,1],[1,1]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,2,2,2],[1,1,1]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,1,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,5],[4]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,4,1],[3]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,4,2],[3,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,1,1],[2]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,4,3],[3,2]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,2,1],[2,1]] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,2,2],[2,1,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,2,1,1,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,4,4],[3,3]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,3,1],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,3,2],[2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,2,2,1,1],[1,1]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,3,3,3],[2,2,2]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,2,2,2,1],[1,1,1]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,2,2,2,2],[1,1,1,1]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,1,1,1,1,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[6,6],[5]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,5,1],[4]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,5,2],[4,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,1,1],[3]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,5,3],[4,2]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,2,1],[3,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,2,2],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,1,1,1],[2]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,5,4],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,3,1],[3,2]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,3,2],[3,2,1]] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,2,1,1],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,3,3],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,2,2,1],[2,1,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,2,2,2],[2,1,1,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,2,1,1,1,1],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[5,5,5],[4,4]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,4,1],[3,3]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,4,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,4,3],[3,3,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,2,1],[2,2,1]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,2,2],[2,2,1,1]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,2,2,1,1,1],[1,1]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[4,4,4,4],[3,3,3]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,3,1],[2,2,2]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,3,2],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,2,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[3,3,3,3,3],[2,2,2,2]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,2,2,2,2,1],[1,1,1,1]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[2,2,2,2,2,2],[1,1,1,1,1]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[1,1,1,1,1,1,1],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[8],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[7,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[6,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[5,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[4,1,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[3,1,1,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[2,1,1,1,1,1,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[1,1,1,1,1,1,1,1],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[2,2,2,1,1,1,1],[1,1]] => ([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[3,2,1,1,1,1],[1]] => ([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[2,2,2,2,2,1,1],[1,1,1,1]] => ([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[4,4,3,3,2],[3,2,2,1]] => ([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[5,5,4,2],[4,3,1]] => ([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[5,3,3,3],[2,2,2]] => ([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[4,4,4,4,4],[3,3,3,3]] => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[5,5,5,5],[4,4,4]] => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
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Description
The hat guessing number of a graph.
Suppose that each vertex of a graph corresponds to a player, wearing a hat whose color is arbitrarily chosen from a set of $q$ possible colors. Each player can see the hat colors of his neighbors, but not his own hat color. All of the players are asked to guess their own hat colors simultaneously, according to a predetermined guessing strategy and the hat colors they see, where no communication between them is allowed. The hat guessing number $HG(G)$ of a graph $G$ is the largest integer $q$ such that there exists a guessing strategy guaranteeing at least one correct guess for any hat assignment of $q$ possible colors.
Because it suffices that a single player guesses correctly, the hat guessing number of a graph is the maximum of the hat guessing numbers of its connected components.
Map
to graph
Description
Returns the Hasse diagram of the poset as an undirected graph.
Map
cell poset
Description
The Young diagram of a skew partition regarded as a poset.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.