Identifier
Values
[[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0],[1]] => [[1]] => ([],1) => 1
[[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[3,0],[0]] => [[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0],[1]] => [[1,2,2]] => ([(0,2),(2,1)],3) => 3
[[3,0],[2]] => [[1,1,2]] => ([(0,1)],2) => 2
[[3,0],[3]] => [[1,1,1]] => ([],1) => 1
[[2,1],[1]] => [[1,2],[2]] => ([(0,1)],2) => 2
[[2,1],[2]] => [[1,1],[2]] => ([],1) => 1
[[2,0,0],[0,0],[0]] => [[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,0,0],[1,0],[0]] => [[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,0,0],[1,0],[1]] => [[1,3]] => ([(0,2),(2,1)],3) => 3
[[2,0,0],[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0,0],[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0,0],[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1,0],[1,0],[0]] => [[2],[3]] => ([(0,2),(2,1)],3) => 3
[[1,1,0],[1,0],[1]] => [[1],[3]] => ([(0,1)],2) => 2
[[1,1,0],[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0,0],[0,0,0],[0,0],[0]] => [[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,0,0,0],[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0,0],[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0,0],[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[4,0],[0]] => [[2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,0],[1]] => [[1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0],[2]] => [[1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[4,0],[3]] => [[1,1,1,2]] => ([(0,1)],2) => 2
[[4,0],[4]] => [[1,1,1,1]] => ([],1) => 1
[[3,1],[1]] => [[1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1],[2]] => [[1,1,2],[2]] => ([(0,1)],2) => 2
[[3,1],[3]] => [[1,1,1],[2]] => ([],1) => 1
[[2,2],[2]] => [[1,1],[2,2]] => ([],1) => 1
[[3,0,0],[1,0],[1]] => [[1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,0,0],[2,0],[1]] => [[1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,0,0],[2,0],[2]] => [[1,1,3]] => ([(0,2),(2,1)],3) => 3
[[3,0,0],[3,0],[0]] => [[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0],[3,0],[1]] => [[1,2,2]] => ([(0,2),(2,1)],3) => 3
[[3,0,0],[3,0],[2]] => [[1,1,2]] => ([(0,1)],2) => 2
[[3,0,0],[3,0],[3]] => [[1,1,1]] => ([],1) => 1
[[2,1,0],[1,0],[1]] => [[1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0],[1,1],[1]] => [[1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[2,1,0],[2,0],[0]] => [[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0],[2,0],[1]] => [[1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,0],[2,0],[2]] => [[1,1],[3]] => ([(0,1)],2) => 2
[[2,1,0],[2,1],[1]] => [[1,2],[2]] => ([(0,1)],2) => 2
[[2,1,0],[2,1],[2]] => [[1,1],[2]] => ([],1) => 1
[[1,1,1],[1,1],[1]] => [[1],[2],[3]] => ([],1) => 1
[[2,0,0,0],[1,0,0],[1,0],[1]] => [[1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,0,0,0],[2,0,0],[0,0],[0]] => [[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,0,0,0],[2,0,0],[1,0],[0]] => [[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,0,0,0],[2,0,0],[1,0],[1]] => [[1,3]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0],[2,0,0],[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0],[2,0,0],[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1,0,0],[1,0,0],[0,0],[0]] => [[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,0,0],[1,0,0],[1,0],[0]] => [[2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0],[1,1,0],[1,0],[0]] => [[2],[3]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3]] => ([(0,1)],2) => 2
[[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => [[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[5,0],[0]] => [[2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[5,0],[1]] => [[1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,0],[2]] => [[1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,0],[3]] => [[1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[5,0],[4]] => [[1,1,1,1,2]] => ([(0,1)],2) => 2
[[5,0],[5]] => [[1,1,1,1,1]] => ([],1) => 1
[[4,1],[1]] => [[1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1],[2]] => [[1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[4,1],[3]] => [[1,1,1,2],[2]] => ([(0,1)],2) => 2
[[4,1],[4]] => [[1,1,1,1],[2]] => ([],1) => 1
[[3,2],[2]] => [[1,1,2],[2,2]] => ([(0,1)],2) => 2
[[3,2],[3]] => [[1,1,1],[2,2]] => ([],1) => 1
[[4,0,0],[2,0],[2]] => [[1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,0,0],[3,0],[2]] => [[1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,0,0],[3,0],[3]] => [[1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[4,0,0],[4,0],[0]] => [[2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,0,0],[4,0],[1]] => [[1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0,0],[4,0],[2]] => [[1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[4,0,0],[4,0],[3]] => [[1,1,1,2]] => ([(0,1)],2) => 2
[[4,0,0],[4,0],[4]] => [[1,1,1,1]] => ([],1) => 1
[[3,1,0],[1,1],[1]] => [[1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,0],[2,0],[2]] => [[1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0],[2,1],[1]] => [[1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,0],[2,1],[2]] => [[1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0],[3,0],[0]] => [[2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,0],[3,0],[1]] => [[1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0],[3,0],[2]] => [[1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,0],[3,0],[3]] => [[1,1,1],[3]] => ([(0,1)],2) => 2
[[3,1,0],[3,1],[1]] => [[1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0],[3,1],[2]] => [[1,1,2],[2]] => ([(0,1)],2) => 2
[[3,1,0],[3,1],[3]] => [[1,1,1],[2]] => ([],1) => 1
>>> Load all 628 entries. <<<
[[2,2,0],[2,0],[0]] => [[2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0],[2,0],[1]] => [[1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0],[2,0],[2]] => [[1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0],[2,1],[1]] => [[1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0],[2,1],[2]] => [[1,1],[2,3]] => ([(0,1)],2) => 2
[[2,2,0],[2,2],[2]] => [[1,1],[2,2]] => ([],1) => 1
[[2,1,1],[1,1],[1]] => [[1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,1],[2,1],[1]] => [[1,2],[2],[3]] => ([(0,1)],2) => 2
[[2,1,1],[2,1],[2]] => [[1,1],[2],[3]] => ([],1) => 1
[[3,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0],[3,0,0],[1,0],[1]] => [[1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,0,0,0],[3,0,0],[2,0],[2]] => [[1,1,3]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0],[3,0,0],[3,0],[0]] => [[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0],[3,0,0],[3,0],[1]] => [[1,2,2]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0],[3,0,0],[3,0],[2]] => [[1,1,2]] => ([(0,1)],2) => 2
[[3,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1]] => ([],1) => 1
[[2,1,0,0],[1,0,0],[1,0],[1]] => [[1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[2,1,0,0],[1,1,0],[1,0],[1]] => [[1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[2,1,0,0],[1,1,0],[1,1],[1]] => [[1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0],[2,0,0],[1,0],[1]] => [[1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,1,0,0],[2,0,0],[2,0],[1]] => [[1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,1,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0],[2,1,0],[1,0],[1]] => [[1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0],[2,1,0],[1,1],[1]] => [[1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0],[2,1,0],[2,0],[0]] => [[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0],[2,1,0],[2,0],[1]] => [[1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3]] => ([(0,1)],2) => 2
[[2,1,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2]] => ([(0,1)],2) => 2
[[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2]] => ([],1) => 1
[[1,1,1,0],[1,1,0],[1,0],[0]] => [[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,1,0],[1,1,0],[1,0],[1]] => [[1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,0],[1,1,0],[1,1],[1]] => [[1],[2],[4]] => ([(0,1)],2) => 2
[[1,1,1,0],[1,1,1],[1,1],[1]] => [[1],[2],[3]] => ([],1) => 1
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => [[1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => [[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => [[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => [[1,3]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => [[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => [[2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => [[2],[3]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3]] => ([(0,1)],2) => 2
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => [[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[6,0],[0]] => [[2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
[[6,0],[1]] => [[1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[6,0],[2]] => [[1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[6,0],[3]] => [[1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[6,0],[4]] => [[1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[6,0],[5]] => [[1,1,1,1,1,2]] => ([(0,1)],2) => 2
[[5,1],[1]] => [[1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,1],[2]] => [[1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,1],[3]] => [[1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[5,1],[4]] => [[1,1,1,1,2],[2]] => ([(0,1)],2) => 2
[[5,1],[5]] => [[1,1,1,1,1],[2]] => ([],1) => 1
[[4,2],[2]] => [[1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => 3
[[4,2],[3]] => [[1,1,1,2],[2,2]] => ([(0,1)],2) => 2
[[4,2],[4]] => [[1,1,1,1],[2,2]] => ([],1) => 1
[[3,3],[3]] => [[1,1,1],[2,2,2]] => ([],1) => 1
[[5,0,0],[3,0],[3]] => [[1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[5,0,0],[4,0],[3]] => [[1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[5,0,0],[4,0],[4]] => [[1,1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[5,0,0],[5,0],[0]] => [[2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[5,0,0],[5,0],[1]] => [[1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,0,0],[5,0],[2]] => [[1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,0,0],[5,0],[3]] => [[1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[5,0,0],[5,0],[4]] => [[1,1,1,1,2]] => ([(0,1)],2) => 2
[[5,0,0],[5,0],[5]] => [[1,1,1,1,1]] => ([],1) => 1
[[4,1,0],[2,1],[2]] => [[1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,1,0],[3,0],[3]] => [[1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0],[3,1],[2]] => [[1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,1,0],[3,1],[3]] => [[1,1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[4,1,0],[4,0],[0]] => [[2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[4,1,0],[4,0],[1]] => [[1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,1,0],[4,0],[2]] => [[1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0],[4,0],[3]] => [[1,1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[4,1,0],[4,0],[4]] => [[1,1,1,1],[3]] => ([(0,1)],2) => 2
[[4,1,0],[4,1],[1]] => [[1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0],[4,1],[2]] => [[1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[4,1,0],[4,1],[3]] => [[1,1,1,2],[2]] => ([(0,1)],2) => 2
[[4,1,0],[4,1],[4]] => [[1,1,1,1],[2]] => ([],1) => 1
[[3,2,0],[2,0],[2]] => [[1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,2,0],[2,1],[2]] => [[1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,0],[2,2],[2]] => [[1,1,3],[2,2]] => ([(0,2),(2,1)],3) => 3
[[3,2,0],[3,0],[1]] => [[1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,2,0],[3,0],[2]] => [[1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,2,0],[3,0],[3]] => [[1,1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[3,2,0],[3,1],[1]] => [[1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,0],[3,1],[2]] => [[1,1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[3,2,0],[3,1],[3]] => [[1,1,1],[2,3]] => ([(0,1)],2) => 2
[[3,2,0],[3,2],[2]] => [[1,1,2],[2,2]] => ([(0,1)],2) => 2
[[3,2,0],[3,2],[3]] => [[1,1,1],[2,2]] => ([],1) => 1
[[3,1,1],[1,1],[1]] => [[1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,1],[2,1],[1]] => [[1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,1],[2,1],[2]] => [[1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,1],[3,1],[1]] => [[1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,1],[3,1],[2]] => [[1,1,2],[2],[3]] => ([(0,1)],2) => 2
[[3,1,1],[3,1],[3]] => [[1,1,1],[2],[3]] => ([],1) => 1
[[2,2,1],[2,1],[1]] => [[1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => 3
[[2,2,1],[2,1],[2]] => [[1,1],[2,3],[3]] => ([(0,1)],2) => 2
[[2,2,1],[2,2],[2]] => [[1,1],[2,2],[3]] => ([],1) => 1
[[4,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0,0,0],[4,0,0],[2,0],[2]] => [[1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,0,0,0],[4,0,0],[3,0],[2]] => [[1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,0,0,0],[4,0,0],[3,0],[3]] => [[1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[4,0,0,0],[4,0,0],[4,0],[0]] => [[2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,0,0,0],[4,0,0],[4,0],[1]] => [[1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0,0,0],[4,0,0],[4,0],[2]] => [[1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[4,0,0,0],[4,0,0],[4,0],[3]] => [[1,1,1,2]] => ([(0,1)],2) => 2
[[4,0,0,0],[4,0,0],[4,0],[4]] => [[1,1,1,1]] => ([],1) => 1
[[3,1,0,0],[2,0,0],[2,0],[2]] => [[1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[3,1,0,0],[2,1,0],[2,0],[2]] => [[1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[3,1,0,0],[2,1,0],[2,1],[2]] => [[1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0],[3,0,0],[2,0],[2]] => [[1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,0,0],[3,0,0],[3,0],[2]] => [[1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,0,0],[3,0,0],[3,0],[3]] => [[1,1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0],[3,1,0],[1,1],[1]] => [[1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,0,0],[3,1,0],[2,0],[2]] => [[1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0],[3,1,0],[2,1],[1]] => [[1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,0,0],[3,1,0],[2,1],[2]] => [[1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0],[3,1,0],[3,0],[0]] => [[2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,0,0],[3,1,0],[3,0],[1]] => [[1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0],[3,1,0],[3,0],[2]] => [[1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0],[3,1,0],[3,0],[3]] => [[1,1,1],[3]] => ([(0,1)],2) => 2
[[3,1,0,0],[3,1,0],[3,1],[1]] => [[1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0],[3,1,0],[3,1],[2]] => [[1,1,2],[2]] => ([(0,1)],2) => 2
[[3,1,0,0],[3,1,0],[3,1],[3]] => [[1,1,1],[2]] => ([],1) => 1
[[2,2,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0],[2,1,0],[1,1],[1]] => [[1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2,4]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0],[2,2,0],[2,0],[0]] => [[2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0],[2,2,0],[2,0],[1]] => [[1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0],[2,2,0],[2,0],[2]] => [[1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0],[2,2,0],[2,1],[1]] => [[1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0],[2,2,0],[2,1],[2]] => [[1,1],[2,3]] => ([(0,1)],2) => 2
[[2,2,0,0],[2,2,0],[2,2],[2]] => [[1,1],[2,2]] => ([],1) => 1
[[2,1,1,0],[1,1,0],[1,1],[1]] => [[1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,0],[1,1,1],[1,1],[1]] => [[1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,1,0],[2,1,0],[1,0],[1]] => [[1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[2,1,1,0],[2,1,0],[1,1],[1]] => [[1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[2,1,1,0],[2,1,0],[2,0],[0]] => [[2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,1,0],[2,1,0],[2,0],[2]] => [[1,1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,0],[2,1,0],[2,1],[1]] => [[1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[2,1,1,0],[2,1,0],[2,1],[2]] => [[1,1],[2],[4]] => ([(0,1)],2) => 2
[[2,1,1,0],[2,1,1],[1,1],[1]] => [[1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,0],[2,1,1],[2,1],[1]] => [[1,2],[2],[3]] => ([(0,1)],2) => 2
[[2,1,1,0],[2,1,1],[2,1],[2]] => [[1,1],[2],[3]] => ([],1) => 1
[[1,1,1,1],[1,1,1],[1,1],[1]] => [[1],[2],[3],[4]] => ([],1) => 1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => [[1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => [[1,1,3]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => [[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => [[1,2,2]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => [[1,1,2]] => ([(0,1)],2) => 2
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1]] => ([],1) => 1
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => [[1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => [[1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => [[1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => [[1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => [[1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => [[1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => [[1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => [[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => [[1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3]] => ([(0,1)],2) => 2
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2]] => ([(0,1)],2) => 2
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2]] => ([],1) => 1
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2],[5]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]] => [[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => [[1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => [[1],[2],[4]] => ([(0,1)],2) => 2
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => [[1],[2],[3]] => ([],1) => 1
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => [[1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => [[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => [[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => [[1,3]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => [[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => [[2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => [[2],[3]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3]] => ([(0,1)],2) => 2
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => [[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[7,0],[1]] => [[1,2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
[[7,0],[2]] => [[1,1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[7,0],[3]] => [[1,1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[7,0],[4]] => [[1,1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[7,0],[5]] => [[1,1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[7,0],[6]] => [[1,1,1,1,1,1,2]] => ([(0,1)],2) => 2
[[6,1],[1]] => [[1,2,2,2,2,2],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[6,1],[2]] => [[1,1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[6,1],[3]] => [[1,1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[6,1],[4]] => [[1,1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[6,1],[5]] => [[1,1,1,1,1,2],[2]] => ([(0,1)],2) => 2
[[6,1],[6]] => [[1,1,1,1,1,1],[2]] => ([],1) => 1
[[5,2],[2]] => [[1,1,2,2,2],[2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,2],[3]] => [[1,1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => 3
[[5,2],[4]] => [[1,1,1,1,2],[2,2]] => ([(0,1)],2) => 2
[[5,2],[5]] => [[1,1,1,1,1],[2,2]] => ([],1) => 1
[[4,3],[3]] => [[1,1,1,2],[2,2,2]] => ([(0,1)],2) => 2
[[4,3],[4]] => [[1,1,1,1],[2,2,2]] => ([],1) => 1
[[6,0,0],[4,0],[4]] => [[1,1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[6,0,0],[5,0],[4]] => [[1,1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[6,0,0],[5,0],[5]] => [[1,1,1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[6,0,0],[6,0],[0]] => [[2,2,2,2,2,2]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
[[6,0,0],[6,0],[1]] => [[1,2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[6,0,0],[6,0],[2]] => [[1,1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[6,0,0],[6,0],[3]] => [[1,1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[6,0,0],[6,0],[4]] => [[1,1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[6,0,0],[6,0],[5]] => [[1,1,1,1,1,2]] => ([(0,1)],2) => 2
[[5,1,0],[3,1],[3]] => [[1,1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[5,1,0],[4,0],[4]] => [[1,1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,1,0],[4,1],[3]] => [[1,1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[5,1,0],[4,1],[4]] => [[1,1,1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[5,1,0],[5,0],[0]] => [[2,2,2,2,2],[3]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
[[5,1,0],[5,0],[1]] => [[1,2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[5,1,0],[5,0],[2]] => [[1,1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,1,0],[5,0],[3]] => [[1,1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,1,0],[5,0],[4]] => [[1,1,1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[5,1,0],[5,0],[5]] => [[1,1,1,1,1],[3]] => ([(0,1)],2) => 2
[[5,1,0],[5,1],[1]] => [[1,2,2,2,2],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,1,0],[5,1],[2]] => [[1,1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,1,0],[5,1],[3]] => [[1,1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[5,1,0],[5,1],[4]] => [[1,1,1,1,2],[2]] => ([(0,1)],2) => 2
[[5,1,0],[5,1],[5]] => [[1,1,1,1,1],[2]] => ([],1) => 1
[[4,2,0],[2,2],[2]] => [[1,1,3,3],[2,2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,2,0],[3,0],[3]] => [[1,1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,2,0],[3,1],[3]] => [[1,1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,2,0],[3,2],[2]] => [[1,1,2,3],[2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,2,0],[3,2],[3]] => [[1,1,1,3],[2,2]] => ([(0,2),(2,1)],3) => 3
[[4,2,0],[4,0],[2]] => [[1,1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,2,0],[4,0],[3]] => [[1,1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,2,0],[4,0],[4]] => [[1,1,1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[4,2,0],[4,1],[1]] => [[1,2,2,2],[2,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,2,0],[4,1],[2]] => [[1,1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,2,0],[4,1],[3]] => [[1,1,1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[4,2,0],[4,1],[4]] => [[1,1,1,1],[2,3]] => ([(0,1)],2) => 2
[[4,2,0],[4,2],[2]] => [[1,1,2,2],[2,2]] => ([(0,2),(2,1)],3) => 3
[[4,2,0],[4,2],[3]] => [[1,1,1,2],[2,2]] => ([(0,1)],2) => 2
[[4,2,0],[4,2],[4]] => [[1,1,1,1],[2,2]] => ([],1) => 1
[[4,1,1],[2,1],[2]] => [[1,1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,1,1],[3,1],[2]] => [[1,1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,1,1],[3,1],[3]] => [[1,1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[4,1,1],[4,1],[1]] => [[1,2,2,2],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,1],[4,1],[2]] => [[1,1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[4,1,1],[4,1],[3]] => [[1,1,1,2],[2],[3]] => ([(0,1)],2) => 2
[[4,1,1],[4,1],[4]] => [[1,1,1,1],[2],[3]] => ([],1) => 1
[[3,3,0],[3,0],[3]] => [[1,1,1],[3,3,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,3,0],[3,1],[1]] => [[1,2,2],[2,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,3,0],[3,1],[2]] => [[1,1,2],[2,3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,3,0],[3,1],[3]] => [[1,1,1],[2,3,3]] => ([(0,2),(2,1)],3) => 3
[[3,3,0],[3,2],[2]] => [[1,1,2],[2,2,3]] => ([(0,2),(2,1)],3) => 3
[[3,3,0],[3,2],[3]] => [[1,1,1],[2,2,3]] => ([(0,1)],2) => 2
[[3,3,0],[3,3],[3]] => [[1,1,1],[2,2,2]] => ([],1) => 1
[[3,2,1],[2,1],[2]] => [[1,1,3],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,1],[2,2],[2]] => [[1,1,3],[2,2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,2,1],[3,1],[1]] => [[1,2,2],[2,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,1],[3,1],[2]] => [[1,1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => 3
[[3,2,1],[3,1],[3]] => [[1,1,1],[2,3],[3]] => ([(0,1)],2) => 2
[[3,2,1],[3,2],[2]] => [[1,1,2],[2,2],[3]] => ([(0,1)],2) => 2
[[3,2,1],[3,2],[3]] => [[1,1,1],[2,2],[3]] => ([],1) => 1
[[2,2,2],[2,2],[2]] => [[1,1],[2,2],[3,3]] => ([],1) => 1
[[5,0,0,0],[4,0,0],[4,0],[4]] => [[1,1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,0,0,0],[5,0,0],[3,0],[3]] => [[1,1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[5,0,0,0],[5,0,0],[4,0],[3]] => [[1,1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[5,0,0,0],[5,0,0],[4,0],[4]] => [[1,1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[5,0,0,0],[5,0,0],[5,0],[0]] => [[2,2,2,2,2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[5,0,0,0],[5,0,0],[5,0],[1]] => [[1,2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[5,0,0,0],[5,0,0],[5,0],[2]] => [[1,1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[5,0,0,0],[5,0,0],[5,0],[3]] => [[1,1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[5,0,0,0],[5,0,0],[5,0],[4]] => [[1,1,1,1,2]] => ([(0,1)],2) => 2
[[5,0,0,0],[5,0,0],[5,0],[5]] => [[1,1,1,1,1]] => ([],1) => 1
[[4,1,0,0],[3,0,0],[3,0],[3]] => [[1,1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[4,1,0,0],[3,1,0],[3,0],[3]] => [[1,1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[4,1,0,0],[3,1,0],[3,1],[3]] => [[1,1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0,0],[4,0,0],[3,0],[3]] => [[1,1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,1,0,0],[4,0,0],[4,0],[3]] => [[1,1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,1,0,0],[4,0,0],[4,0],[4]] => [[1,1,1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[4,1,0,0],[4,1,0],[2,1],[2]] => [[1,1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,1,0,0],[4,1,0],[3,0],[3]] => [[1,1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0,0],[4,1,0],[3,1],[2]] => [[1,1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,1,0,0],[4,1,0],[3,1],[3]] => [[1,1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[4,1,0,0],[4,1,0],[4,0],[0]] => [[2,2,2,2],[3]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[4,1,0,0],[4,1,0],[4,0],[1]] => [[1,2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,1,0,0],[4,1,0],[4,0],[2]] => [[1,1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0,0],[4,1,0],[4,0],[3]] => [[1,1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[4,1,0,0],[4,1,0],[4,0],[4]] => [[1,1,1,1],[3]] => ([(0,1)],2) => 2
[[4,1,0,0],[4,1,0],[4,1],[1]] => [[1,2,2,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,1,0,0],[4,1,0],[4,1],[2]] => [[1,1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[4,1,0,0],[4,1,0],[4,1],[3]] => [[1,1,1,2],[2]] => ([(0,1)],2) => 2
[[4,1,0,0],[4,1,0],[4,1],[4]] => [[1,1,1,1],[2]] => ([],1) => 1
[[3,2,0,0],[2,1,0],[2,1],[2]] => [[1,1,4],[2,4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[3,2,0,0],[2,2,0],[2,1],[2]] => [[1,1,4],[2,3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[3,2,0,0],[2,2,0],[2,2],[2]] => [[1,1,4],[2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,0,0],[3,0,0],[3,0],[3]] => [[1,1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,2,0,0],[3,1,0],[2,1],[2]] => [[1,1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,2,0,0],[3,1,0],[3,0],[3]] => [[1,1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,2,0,0],[3,1,0],[3,1],[2]] => [[1,1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,2,0,0],[3,1,0],[3,1],[3]] => [[1,1,1],[2,4]] => ([(0,2),(2,1)],3) => 3
[[3,2,0,0],[3,2,0],[2,0],[2]] => [[1,1,3],[3,3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,2,0,0],[3,2,0],[2,1],[2]] => [[1,1,3],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,0,0],[3,2,0],[2,2],[2]] => [[1,1,3],[2,2]] => ([(0,2),(2,1)],3) => 3
[[3,2,0,0],[3,2,0],[3,0],[1]] => [[1,2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,2,0,0],[3,2,0],[3,0],[2]] => [[1,1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,2,0,0],[3,2,0],[3,0],[3]] => [[1,1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[3,2,0,0],[3,2,0],[3,1],[1]] => [[1,2,2],[2,3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,2,0,0],[3,2,0],[3,1],[2]] => [[1,1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[3,2,0,0],[3,2,0],[3,1],[3]] => [[1,1,1],[2,3]] => ([(0,1)],2) => 2
[[3,2,0,0],[3,2,0],[3,2],[2]] => [[1,1,2],[2,2]] => ([(0,1)],2) => 2
[[3,2,0,0],[3,2,0],[3,2],[3]] => [[1,1,1],[2,2]] => ([],1) => 1
[[3,1,1,0],[2,1,0],[2,1],[2]] => [[1,1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,1,0],[2,1,1],[2,1],[2]] => [[1,1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,1,0],[3,1,0],[2,0],[2]] => [[1,1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[3,1,1,0],[3,1,0],[2,1],[2]] => [[1,1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[3,1,1,0],[3,1,0],[3,0],[0]] => [[2,2,2],[3],[4]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[3,1,1,0],[3,1,0],[3,0],[1]] => [[1,2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,1,0],[3,1,0],[3,0],[2]] => [[1,1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,1,0],[3,1,0],[3,0],[3]] => [[1,1,1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[3,1,1,0],[3,1,0],[3,1],[1]] => [[1,2,2],[2],[4]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[[3,1,1,0],[3,1,0],[3,1],[2]] => [[1,1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[3,1,1,0],[3,1,0],[3,1],[3]] => [[1,1,1],[2],[4]] => ([(0,1)],2) => 2
[[3,1,1,0],[3,1,1],[1,1],[1]] => [[1,3,3],[2],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,1,0],[3,1,1],[2,1],[1]] => [[1,2,3],[2],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,1,0],[3,1,1],[2,1],[2]] => [[1,1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,1,0],[3,1,1],[3,1],[1]] => [[1,2,2],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,1,0],[3,1,1],[3,1],[2]] => [[1,1,2],[2],[3]] => ([(0,1)],2) => 2
[[3,1,1,0],[3,1,1],[3,1],[3]] => [[1,1,1],[2],[3]] => ([],1) => 1
[[2,2,1,0],[2,1,0],[2,1],[2]] => [[1,1],[2,4],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,2,1,0],[2,1,1],[1,1],[1]] => [[1,3],[2,4],[3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,1,0],[2,1,1],[2,1],[1]] => [[1,2],[2,4],[3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,1,0],[2,1,1],[2,1],[2]] => [[1,1],[2,4],[3]] => ([(0,2),(2,1)],3) => 3
[[2,2,1,0],[2,2,0],[2,0],[0]] => [[2,2],[3,3],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[2,2,1,0],[2,2,0],[2,0],[1]] => [[1,2],[3,3],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[2,2,1,0],[2,2,0],[2,0],[2]] => [[1,1],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,2,1,0],[2,2,0],[2,1],[1]] => [[1,2],[2,3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,2,1,0],[2,2,0],[2,1],[2]] => [[1,1],[2,3],[4]] => ([(0,2),(2,1)],3) => 3
[[2,2,1,0],[2,2,0],[2,2],[2]] => [[1,1],[2,2],[4]] => ([(0,1)],2) => 2
[[2,2,1,0],[2,2,1],[2,1],[1]] => [[1,2],[2,3],[3]] => ([(0,2),(2,1)],3) => 3
[[2,2,1,0],[2,2,1],[2,1],[2]] => [[1,1],[2,3],[3]] => ([(0,1)],2) => 2
[[2,2,1,0],[2,2,1],[2,2],[2]] => [[1,1],[2,2],[3]] => ([],1) => 1
[[2,1,1,1],[1,1,1],[1,1],[1]] => [[1,4],[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,1,1],[2,1,1],[1,1],[1]] => [[1,3],[2],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,1],[2,1,1],[2,1],[1]] => [[1,2],[2],[3],[4]] => ([(0,1)],2) => 2
[[2,1,1,1],[2,1,1],[2,1],[2]] => [[1,1],[2],[3],[4]] => ([],1) => 1
[[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]] => [[1,1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]] => [[1,1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]] => [[1,1,1,3]] => ([(0,2),(2,1)],3) => 3
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]] => [[2,2,2,2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]] => [[1,2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]] => [[1,1,2,2]] => ([(0,2),(2,1)],3) => 3
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]] => [[1,1,1,2]] => ([(0,1)],2) => 2
[[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]] => [[1,1,1,1]] => ([],1) => 1
[[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]] => [[1,1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]] => [[1,1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]] => [[1,1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]] => [[1,1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]] => [[1,1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]] => [[1,1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]] => [[1,3,3],[2]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]] => [[1,1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]] => [[1,2,3],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]] => [[1,1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]] => [[2,2,2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]] => [[1,2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]] => [[1,1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]] => [[1,1,1],[3]] => ([(0,1)],2) => 2
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]] => [[1,2,2],[2]] => ([(0,2),(2,1)],3) => 3
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]] => [[1,1,2],[2]] => ([(0,1)],2) => 2
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]] => [[1,1,1],[2]] => ([],1) => 1
[[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2,5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[1,3],[2,4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2,4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2,4]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[0]] => [[2,2],[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[1]] => [[1,2],[3,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[2]] => [[1,1],[3,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[1]] => [[1,2],[2,3]] => ([(0,2),(2,1)],3) => 3
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[2]] => [[1,1],[2,3]] => ([(0,1)],2) => 2
[[2,2,0,0,0],[2,2,0,0],[2,2,0],[2,2],[2]] => [[1,1],[2,2]] => ([],1) => 1
[[2,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => [[1,5],[2],[3]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2],[5]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2],[5]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]] => [[1,4],[2],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[1,4],[2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]] => [[1,3],[3],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[1,3],[2],[4]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]] => [[2,2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]] => [[1,1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]] => [[1,2],[2],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]] => [[1,1],[2],[4]] => ([(0,1)],2) => 2
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]] => [[1,3],[2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]] => [[1,2],[2],[3]] => ([(0,1)],2) => 2
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]] => [[1,1],[2],[3]] => ([],1) => 1
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]] => [[2],[3],[4],[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]] => [[1],[3],[4],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]] => [[1],[2],[4],[5]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]] => [[1],[2],[3],[5]] => ([(0,1)],2) => 2
[[1,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1],[2],[3],[4]] => ([],1) => 1
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => [[1,1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => [[1,3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => [[1,1,3]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => [[2,2,2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => [[1,2,2]] => ([(0,2),(2,1)],3) => 3
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => [[1,1,2]] => ([(0,1)],2) => 2
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => [[1,1,1]] => ([],1) => 1
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1,6],[2]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1,5],[2]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => [[1,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => [[1,4],[3]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => [[1,4],[2]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => [[1,3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => [[1,2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => [[1,1],[4]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => [[1,3],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => [[1,3],[2]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => [[2,2],[3]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => [[1,2],[3]] => ([(0,2),(2,1)],3) => 3
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => [[1,1],[3]] => ([(0,1)],2) => 2
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => [[1,2],[2]] => ([(0,1)],2) => 2
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => [[1,1],[2]] => ([],1) => 1
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2],[6]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4],[5]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3],[5]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2],[5]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]] => [[2],[3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => [[1],[3],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => [[1],[2],[4]] => ([(0,1)],2) => 2
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => [[1],[2],[3]] => ([],1) => 1
[[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,7]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1,5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => [[1,4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => [[3,3]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => [[2,3]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => [[1,3]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => [[2,2]] => ([(0,2),(2,1)],3) => 3
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => [[1,2]] => ([(0,1)],2) => 2
[[2,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => [[1,1]] => ([],1) => 1
[[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[7]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[6]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1],[5]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => [[3],[4]] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 4
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => [[2],[4]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => [[1],[4]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => [[2],[3]] => ([(0,2),(2,1)],3) => 3
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => [[1],[3]] => ([(0,1)],2) => 2
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => [[1],[2]] => ([],1) => 1
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => [[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => [[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => [[3]] => ([(0,2),(2,1)],3) => 3
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => [[2]] => ([(0,1)],2) => 2
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => [[1]] => ([],1) => 1
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,5],[2],[3],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1],[2],[3],[4],[5]] => ([],1) => 1
[[1]] => [[1]] => ([],1) => 1
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,6],[2],[3],[4],[5]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1],[2],[3],[4],[5],[6]] => ([],1) => 1
[[2]] => [[1,1]] => ([],1) => 1
[[3]] => [[1,1,1]] => ([],1) => 1
[[4]] => [[1,1,1,1]] => ([],1) => 1
[[5]] => [[1,1,1,1,1]] => ([],1) => 1
[[4,3,2,1],[4,3,2],[4,3],[4]] => [[1,1,1,1],[2,2,2],[3,3],[4]] => ([],1) => 1
[[4,3,2,1],[4,3,2],[4,3],[3]] => [[1,1,1,2],[2,2,2],[3,3],[4]] => ([(0,1)],2) => 2
[[4,3,2,1],[4,3,2],[4,2],[4]] => [[1,1,1,1],[2,2,3],[3,3],[4]] => ([(0,1)],2) => 2
[[4,3,2,1],[4,3,2],[4,2],[3]] => [[1,1,1,2],[2,2,3],[3,3],[4]] => ([(0,2),(2,1)],3) => 3
[[4,3,2,1],[4,3,2],[3,2],[3]] => [[1,1,1,3],[2,2,3],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,3,2,1],[4,3,2],[4,2],[2]] => [[1,1,2,2],[2,2,3],[3,3],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,3,2,1],[4,3,1],[4,3],[4]] => [[1,1,1,1],[2,2,2],[3,4],[4]] => ([(0,1)],2) => 2
[[4,3,2,1],[4,3,1],[4,3],[3]] => [[1,1,1,2],[2,2,2],[3,4],[4]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[4,3,2,1],[4,3,1],[4,2],[4]] => [[1,1,1,1],[2,2,3],[3,4],[4]] => ([(0,2),(2,1)],3) => 3
[[4,3,2,1],[4,3,1],[4,2],[3]] => [[1,1,1,2],[2,2,3],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,3,2,1],[4,3,1],[3,2],[3]] => [[1,1,1,3],[2,2,3],[3,4],[4]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[4,3,2,1],[4,3,1],[4,2],[2]] => [[1,1,2,2],[2,2,3],[3,4],[4]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[[4,3,2,1],[4,2,1],[4,2],[4]] => [[1,1,1,1],[2,2,4],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,3,2,1],[4,3,1],[4,1],[4]] => [[1,1,1,1],[2,3,3],[3,4],[4]] => ([(0,3),(2,1),(3,2)],4) => 4
[[4,3,2,1],[4,3,1],[4,1],[3]] => [[1,1,1,2],[2,3,3],[3,4],[4]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[[4,3,2,1],[4,3,1],[4,1],[2]] => [[1,1,2,2],[2,3,3],[3,4],[4]] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 5
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Description
The number of maximal antichains of minimal length in a poset.
Map
subcrystal
Description
The underlying poset of the subcrystal obtained by applying the raising operators to a semistandard tableau.
Map
to semistandard tableau
Description
Return the Gelfand-Tsetlin pattern as a semistandard Young tableau.
Let $G$ be a Gelfand-Tsetlin pattern and let $\lambda^{(k)}$ be its $(n-k+1)$-st row. The defining inequalities of a Gelfand-Tsetlin pattern imply, regarding each row as a partition,
$$ \lambda^{(0)} \subseteq \lambda^{(1)} \subseteq \cdots \subseteq \lambda^{(n)}, $$
where $\lambda^{(0)}$ is the empty partition.
Each skew shape $\lambda^{(k)} / \lambda^{(k-1)}$ is moreover a horizontal strip.
We now define a semistandard tableau $T(G)$ by inserting $k$ into the cells of the skew shape $\lambda^{(k)} / \lambda^{(k-1)}$, for $k=1,\dots,n$.