Identifier
Values
[[2],[]] => ([(0,1)],2) => 1
[[1,1],[]] => ([(0,1)],2) => 1
[[2,1],[1]] => ([],2) => 2
[[3],[]] => ([(0,2),(2,1)],3) => 1
[[2,1],[]] => ([(0,1),(0,2)],3) => 2
[[3,1],[1]] => ([(1,2)],3) => 3
[[2,2],[1]] => ([(0,2),(1,2)],3) => 2
[[3,2],[2]] => ([(1,2)],3) => 3
[[1,1,1],[]] => ([(0,2),(2,1)],3) => 1
[[2,2,1],[1,1]] => ([(1,2)],3) => 3
[[2,1,1],[1]] => ([(1,2)],3) => 3
[[3,2,1],[2,1]] => ([],3) => 6
[[4],[]] => ([(0,3),(2,1),(3,2)],4) => 1
[[3,1],[]] => ([(0,2),(0,3),(3,1)],4) => 3
[[4,1],[1]] => ([(1,2),(2,3)],4) => 4
[[2,2],[]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[3,2],[1]] => ([(0,3),(1,2),(1,3)],4) => 5
[[4,2],[2]] => ([(0,3),(1,2)],4) => 6
[[2,1,1],[]] => ([(0,2),(0,3),(3,1)],4) => 3
[[3,2,1],[1,1]] => ([(1,2),(1,3)],4) => 8
[[3,1,1],[1]] => ([(0,3),(1,2)],4) => 6
[[4,2,1],[2,1]] => ([(2,3)],4) => 12
[[3,3],[2]] => ([(0,3),(1,2),(2,3)],4) => 3
[[4,3],[3]] => ([(1,2),(2,3)],4) => 4
[[2,2,1],[1]] => ([(0,3),(1,2),(1,3)],4) => 5
[[3,3,1],[2,1]] => ([(1,3),(2,3)],4) => 8
[[3,2,1],[2]] => ([(1,2),(1,3)],4) => 8
[[4,3,1],[3,1]] => ([(2,3)],4) => 12
[[2,2,2],[1,1]] => ([(0,3),(1,2),(2,3)],4) => 3
[[3,3,2],[2,2]] => ([(0,3),(1,2)],4) => 6
[[3,2,2],[2,1]] => ([(1,3),(2,3)],4) => 8
[[4,3,2],[3,2]] => ([(2,3)],4) => 12
[[1,1,1,1],[]] => ([(0,3),(2,1),(3,2)],4) => 1
[[2,2,2,1],[1,1,1]] => ([(1,2),(2,3)],4) => 4
[[2,2,1,1],[1,1]] => ([(0,3),(1,2)],4) => 6
[[3,3,2,1],[2,2,1]] => ([(2,3)],4) => 12
[[2,1,1,1],[1]] => ([(1,2),(2,3)],4) => 4
[[3,2,2,1],[2,1,1]] => ([(2,3)],4) => 12
[[3,2,1,1],[2,1]] => ([(2,3)],4) => 12
[[4,3,2,1],[3,2,1]] => ([],4) => 24
[[5],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[4,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[[5,1],[1]] => ([(1,4),(3,2),(4,3)],5) => 5
[[3,2],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 5
[[4,2],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => 9
[[5,2],[2]] => ([(0,3),(1,4),(4,2)],5) => 10
[[3,1,1],[]] => ([(0,3),(0,4),(3,2),(4,1)],5) => 6
[[4,2,1],[1,1]] => ([(1,3),(1,4),(4,2)],5) => 15
[[4,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => 10
[[5,2,1],[2,1]] => ([(2,3),(3,4)],5) => 20
[[3,3],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 5
[[4,3],[2]] => ([(0,3),(1,2),(1,4),(3,4)],5) => 9
[[5,3],[3]] => ([(0,3),(1,4),(4,2)],5) => 10
[[2,2,1],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 5
[[3,3,1],[1,1]] => ([(1,2),(1,3),(2,4),(3,4)],5) => 10
[[3,2,1],[1]] => ([(0,3),(0,4),(1,2),(1,4)],5) => 16
[[4,3,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => 25
[[4,2,1],[2]] => ([(0,4),(1,2),(1,3)],5) => 20
[[5,3,1],[3,1]] => ([(1,4),(2,3)],5) => 30
[[3,2,2],[1,1]] => ([(0,4),(1,2),(1,3),(3,4)],5) => 11
[[4,3,2],[2,2]] => ([(0,4),(1,2),(1,3)],5) => 20
[[4,2,2],[2,1]] => ([(0,4),(1,4),(2,3)],5) => 20
[[5,3,2],[3,2]] => ([(1,4),(2,3)],5) => 30
[[2,1,1,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[[3,2,2,1],[1,1,1]] => ([(1,3),(1,4),(4,2)],5) => 15
[[3,2,1,1],[1,1]] => ([(0,4),(1,2),(1,3)],5) => 20
[[4,3,2,1],[2,2,1]] => ([(2,3),(2,4)],5) => 40
[[3,1,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => 10
[[4,2,2,1],[2,1,1]] => ([(1,4),(2,3)],5) => 30
[[4,2,1,1],[2,1]] => ([(1,4),(2,3)],5) => 30
[[5,3,2,1],[3,2,1]] => ([(3,4)],5) => 60
[[4,4],[3]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 4
[[5,4],[4]] => ([(1,4),(3,2),(4,3)],5) => 5
[[3,3,1],[2]] => ([(0,4),(1,2),(1,3),(3,4)],5) => 11
[[4,4,1],[3,1]] => ([(1,4),(2,3),(3,4)],5) => 15
[[4,3,1],[3]] => ([(1,3),(1,4),(4,2)],5) => 15
[[5,4,1],[4,1]] => ([(2,3),(3,4)],5) => 20
[[2,2,2],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 5
[[3,3,2],[2,1]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 16
[[4,4,2],[3,2]] => ([(0,4),(1,4),(2,3)],5) => 20
[[3,2,2],[2]] => ([(1,2),(1,3),(2,4),(3,4)],5) => 10
[[4,3,2],[3,1]] => ([(1,4),(2,3),(2,4)],5) => 25
[[5,4,2],[4,2]] => ([(1,4),(2,3)],5) => 30
[[2,2,1,1],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => 9
[[3,3,2,1],[2,1,1]] => ([(1,4),(2,3),(2,4)],5) => 25
[[3,3,1,1],[2,1]] => ([(0,4),(1,4),(2,3)],5) => 20
[[4,4,2,1],[3,2,1]] => ([(2,4),(3,4)],5) => 40
[[3,2,1,1],[2]] => ([(1,3),(1,4),(4,2)],5) => 15
[[4,3,2,1],[3,1,1]] => ([(2,3),(2,4)],5) => 40
[[4,3,1,1],[3,1]] => ([(1,4),(2,3)],5) => 30
[[5,4,2,1],[4,2,1]] => ([(3,4)],5) => 60
[[3,3,3],[2,2]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 6
[[4,4,3],[3,3]] => ([(0,3),(1,4),(4,2)],5) => 10
[[4,3,3],[3,2]] => ([(1,4),(2,3),(3,4)],5) => 15
[[5,4,3],[4,3]] => ([(2,3),(3,4)],5) => 20
[[2,2,2,1],[1,1]] => ([(0,3),(1,2),(1,4),(3,4)],5) => 9
[[3,3,3,1],[2,2,1]] => ([(1,4),(2,3),(3,4)],5) => 15
[[3,3,2,1],[2,2]] => ([(0,4),(1,2),(1,3)],5) => 20
[[4,4,3,1],[3,3,1]] => ([(1,4),(2,3)],5) => 30
[[3,2,2,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => 25
[[4,3,3,1],[3,2,1]] => ([(2,4),(3,4)],5) => 40
>>> Load all 568 entries. <<<
[[4,3,2,1],[3,2]] => ([(2,3),(2,4)],5) => 40
[[5,4,3,1],[4,3,1]] => ([(3,4)],5) => 60
[[2,2,2,2],[1,1,1]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 4
[[3,3,3,2],[2,2,2]] => ([(0,3),(1,4),(4,2)],5) => 10
[[3,3,2,2],[2,2,1]] => ([(0,4),(1,4),(2,3)],5) => 20
[[4,4,3,2],[3,3,2]] => ([(1,4),(2,3)],5) => 30
[[3,2,2,2],[2,1,1]] => ([(1,4),(2,3),(3,4)],5) => 15
[[4,3,3,2],[3,2,2]] => ([(1,4),(2,3)],5) => 30
[[4,3,2,2],[3,2,1]] => ([(2,4),(3,4)],5) => 40
[[5,4,3,2],[4,3,2]] => ([(3,4)],5) => 60
[[1,1,1,1,1],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[2,2,2,2,1],[1,1,1,1]] => ([(1,4),(3,2),(4,3)],5) => 5
[[2,2,2,1,1],[1,1,1]] => ([(0,3),(1,4),(4,2)],5) => 10
[[3,3,3,2,1],[2,2,2,1]] => ([(2,3),(3,4)],5) => 20
[[2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(4,2)],5) => 10
[[3,3,2,2,1],[2,2,1,1]] => ([(1,4),(2,3)],5) => 30
[[3,3,2,1,1],[2,2,1]] => ([(1,4),(2,3)],5) => 30
[[4,4,3,2,1],[3,3,2,1]] => ([(3,4)],5) => 60
[[2,1,1,1,1],[1]] => ([(1,4),(3,2),(4,3)],5) => 5
[[3,2,2,2,1],[2,1,1,1]] => ([(2,3),(3,4)],5) => 20
[[3,2,2,1,1],[2,1,1]] => ([(1,4),(2,3)],5) => 30
[[4,3,3,2,1],[3,2,2,1]] => ([(3,4)],5) => 60
[[3,2,1,1,1],[2,1]] => ([(2,3),(3,4)],5) => 20
[[4,3,2,2,1],[3,2,1,1]] => ([(3,4)],5) => 60
[[4,3,2,1,1],[3,2,1]] => ([(3,4)],5) => 60
[[5,4,3,2,1],[4,3,2,1]] => ([],5) => 120
[[6],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[5,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[[6,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => 6
[[4,2],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 9
[[5,2],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 14
[[6,2],[2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[4,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 10
[[5,2,1],[1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[[5,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[6,2,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => 30
[[3,3],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 5
[[4,3],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 14
[[5,3],[2]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 19
[[6,3],[3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => 20
[[3,2,1],[]] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 16
[[4,3,1],[1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30
[[4,2,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 35
[[5,3,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => 54
[[5,2,1],[2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => 40
[[6,3,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,2,2],[1,1]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 26
[[5,3,2],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[5,2,2],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => 40
[[6,3,2],[3,2]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,1,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 10
[[4,2,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(5,2)],6) => 36
[[4,2,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[5,3,2,1],[2,2,1]] => ([(2,3),(2,4),(4,5)],6) => 90
[[4,1,1,1],[1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => 20
[[5,2,2,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[5,2,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[6,3,2,1],[3,2,1]] => ([(3,4),(4,5)],6) => 120
[[4,4],[2]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 9
[[5,4],[3]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 14
[[6,4],[4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[3,3,1],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 21
[[4,4,1],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30
[[4,3,1],[2]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 40
[[5,4,1],[3,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => 54
[[5,3,1],[3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[6,4,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[2,2,2],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 5
[[3,3,2],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 21
[[4,4,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30
[[3,2,2],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 21
[[4,3,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 61
[[5,4,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[4,2,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30
[[5,3,2],[3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[6,4,2],[4,2]] => ([(0,5),(1,4),(2,3)],6) => 90
[[2,2,1,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 9
[[3,3,2,1],[1,1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30
[[3,3,1,1],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30
[[4,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => 60
[[3,2,1,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 35
[[4,3,2,1],[2,1,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => 96
[[4,3,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[5,4,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[4,2,1,1],[2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[5,3,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,3,1,1],[3,1]] => ([(0,5),(1,4),(2,3)],6) => 90
[[6,4,2,1],[4,2,1]] => ([(2,5),(3,4)],6) => 180
[[4,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 26
[[5,4,3],[3,3]] => ([(0,5),(1,3),(1,4),(5,2)],6) => 40
[[5,3,3],[3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[6,4,3],[4,3]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,2,2,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 40
[[4,3,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => 66
[[4,3,2,1],[2,2]] => ([(0,4),(0,5),(1,2),(1,3)],6) => 80
[[5,4,3,1],[3,3,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[4,2,2,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[5,3,3,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[5,3,2,1],[3,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[6,4,3,1],[4,3,1]] => ([(2,5),(3,4)],6) => 180
[[3,2,2,2],[1,1,1]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 19
[[4,3,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[4,3,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4)],6) => 80
[[5,4,3,2],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[4,2,2,2],[2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[5,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,3)],6) => 90
[[5,3,2,2],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[6,4,3,2],[4,3,2]] => ([(2,5),(3,4)],6) => 180
[[2,1,1,1,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[[3,2,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[[3,2,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[4,3,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(4,5)],6) => 90
[[3,2,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(5,2)],6) => 40
[[4,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[4,3,2,1,1],[2,2,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5)],6) => 240
[[3,1,1,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[4,2,2,2,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,3)],6) => 90
[[5,3,3,2,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => 180
[[4,2,1,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[5,3,2,2,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => 180
[[5,3,2,1,1],[3,2,1]] => ([(2,5),(3,4)],6) => 180
[[6,4,3,2,1],[4,3,2,1]] => ([(4,5)],6) => 360
[[5,5],[4]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5
[[6,5],[5]] => ([(1,5),(3,4),(4,2),(5,3)],6) => 6
[[4,4,1],[3]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 19
[[5,5,1],[4,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => 24
[[5,4,1],[4]] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[[6,5,1],[5,1]] => ([(2,3),(3,5),(5,4)],6) => 30
[[3,3,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 21
[[4,4,2],[3,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 40
[[5,5,2],[4,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[4,3,2],[3]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30
[[5,4,2],[4,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => 54
[[6,5,2],[5,2]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,3,1,1],[2]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 26
[[4,4,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => 66
[[4,4,1,1],[3,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[5,5,2,1],[4,2,1]] => ([(2,5),(3,4),(4,5)],6) => 90
[[4,3,1,1],[3]] => ([(1,4),(1,5),(4,3),(5,2)],6) => 36
[[5,4,2,1],[4,1,1]] => ([(2,3),(2,4),(4,5)],6) => 90
[[5,4,1,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[6,5,2,1],[5,2,1]] => ([(3,4),(4,5)],6) => 120
[[3,3,3],[2,1]] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 16
[[4,4,3],[3,2]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 35
[[5,5,3],[4,3]] => ([(0,5),(1,5),(2,3),(3,4)],6) => 40
[[4,3,3],[3,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30
[[5,4,3],[4,2]] => ([(1,4),(2,3),(2,5),(4,5)],6) => 54
[[6,5,3],[5,3]] => ([(1,3),(2,4),(4,5)],6) => 60
[[2,2,2,1],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 14
[[3,3,3,1],[2,1,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30
[[3,3,2,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 61
[[4,4,3,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => 96
[[4,4,2,1],[3,2]] => ([(0,5),(1,5),(2,3),(2,4)],6) => 80
[[5,5,3,1],[4,3,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[3,2,2,1],[2]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30
[[4,3,3,1],[3,1,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => 60
[[4,3,2,1],[3,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => 96
[[5,4,3,1],[4,2,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[5,4,2,1],[4,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[6,5,3,1],[5,3,1]] => ([(2,5),(3,4)],6) => 180
[[3,3,2,2],[2,1,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 40
[[4,4,3,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[4,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,4),(3,4)],6) => 80
[[5,5,3,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => 120
[[4,3,2,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => 66
[[5,4,3,2],[4,2,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,4,2,2],[4,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[6,5,3,2],[5,3,2]] => ([(2,5),(3,4)],6) => 180
[[2,2,1,1,1],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 14
[[3,3,2,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => 54
[[3,3,2,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[4,4,3,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[3,3,1,1,1],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => 40
[[4,4,2,2,1],[3,2,1,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[4,4,2,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[5,5,3,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => 240
[[3,2,1,1,1],[2]] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[[4,3,2,2,1],[3,1,1,1]] => ([(2,3),(2,4),(4,5)],6) => 90
[[4,3,2,1,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,4,3,2,1],[4,2,2,1]] => ([(3,4),(3,5)],6) => 240
[[4,3,1,1,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[5,4,2,2,1],[4,2,1,1]] => ([(2,5),(3,4)],6) => 180
[[5,4,2,1,1],[4,2,1]] => ([(2,5),(3,4)],6) => 180
[[6,5,3,2,1],[5,3,2,1]] => ([(4,5)],6) => 360
[[4,4,4],[3,3]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 10
[[5,5,4],[4,4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[5,4,4],[4,3]] => ([(1,5),(2,3),(3,4),(4,5)],6) => 24
[[6,5,4],[5,4]] => ([(2,3),(3,5),(5,4)],6) => 30
[[3,3,3,1],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 26
[[4,4,4,1],[3,3,1]] => ([(1,4),(2,3),(3,5),(4,5)],6) => 36
[[4,4,3,1],[3,3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[5,5,4,1],[4,4,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,3,3,1],[3,2]] => ([(1,5),(2,3),(2,4),(4,5)],6) => 66
[[5,4,4,1],[4,3,1]] => ([(2,5),(3,4),(4,5)],6) => 90
[[5,4,3,1],[4,3]] => ([(2,3),(2,4),(4,5)],6) => 90
[[6,5,4,1],[5,4,1]] => ([(3,4),(4,5)],6) => 120
[[2,2,2,2],[1,1]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 9
[[3,3,3,2],[2,2,1]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 35
[[4,4,4,2],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[3,3,2,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30
[[4,4,3,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[5,5,4,2],[4,4,2]] => ([(0,5),(1,4),(2,3)],6) => 90
[[3,2,2,2],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30
[[4,3,3,2],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => 96
[[5,4,4,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => 120
[[4,3,2,2],[3,2]] => ([(2,3),(2,4),(3,5),(4,5)],6) => 60
[[5,4,3,2],[4,3,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[6,5,4,2],[5,4,2]] => ([(2,5),(3,4)],6) => 180
[[2,2,2,1,1],[1,1]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 19
[[3,3,3,2,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => 54
[[3,3,3,1,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[4,4,4,2,1],[3,3,2,1]] => ([(2,5),(3,4),(4,5)],6) => 90
[[3,3,2,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => 45
[[4,4,3,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4)],6) => 120
[[4,4,3,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3)],6) => 90
[[5,5,4,2,1],[4,4,2,1]] => ([(2,5),(3,4)],6) => 180
[[3,2,2,1,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => 54
[[4,3,3,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[4,3,3,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[5,4,4,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => 240
[[4,3,2,1,1],[3,2]] => ([(2,3),(2,4),(4,5)],6) => 90
[[5,4,3,2,1],[4,3,1,1]] => ([(3,4),(3,5)],6) => 240
[[5,4,3,1,1],[4,3,1]] => ([(2,5),(3,4)],6) => 180
[[6,5,4,2,1],[5,4,2,1]] => ([(4,5)],6) => 360
[[3,3,3,3],[2,2,2]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 10
[[4,4,4,3],[3,3,3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => 20
[[4,4,3,3],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[5,5,4,3],[4,4,3]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,3,3,3],[3,2,2]] => ([(1,4),(2,3),(3,5),(4,5)],6) => 36
[[5,4,4,3],[4,3,3]] => ([(1,3),(2,4),(4,5)],6) => 60
[[5,4,3,3],[4,3,2]] => ([(2,5),(3,4),(4,5)],6) => 90
[[6,5,4,3],[5,4,3]] => ([(3,4),(4,5)],6) => 120
[[2,2,2,2,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 14
[[3,3,3,3,1],[2,2,2,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => 24
[[3,3,3,2,1],[2,2,2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => 40
[[4,4,4,3,1],[3,3,3,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,3,2,2,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => 75
[[4,4,3,3,1],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[4,4,3,2,1],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,5,4,3,1],[4,4,3,1]] => ([(2,5),(3,4)],6) => 180
[[3,2,2,2,1],[2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => 54
[[4,3,3,3,1],[3,2,2,1]] => ([(2,5),(3,4),(4,5)],6) => 90
[[4,3,3,2,1],[3,2,2]] => ([(1,5),(2,3),(2,4)],6) => 120
[[5,4,4,3,1],[4,3,3,1]] => ([(2,5),(3,4)],6) => 180
[[4,3,2,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => 150
[[5,4,3,3,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => 240
[[5,4,3,2,1],[4,3,2]] => ([(3,4),(3,5)],6) => 240
[[6,5,4,3,1],[5,4,3,1]] => ([(4,5)],6) => 360
[[2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5
[[3,3,3,3,2],[2,2,2,2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[3,3,3,2,2],[2,2,2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => 40
[[4,4,4,3,2],[3,3,3,2]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,3,2,2,2],[2,2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => 45
[[4,4,3,3,2],[3,3,2,2]] => ([(0,5),(1,4),(2,3)],6) => 90
[[4,4,3,2,2],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[5,5,4,3,2],[4,4,3,2]] => ([(2,5),(3,4)],6) => 180
[[3,2,2,2,2],[2,1,1,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => 24
[[4,3,3,3,2],[3,2,2,2]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,3,3,2,2],[3,2,2,1]] => ([(1,5),(2,5),(3,4)],6) => 120
[[5,4,4,3,2],[4,3,3,2]] => ([(2,5),(3,4)],6) => 180
[[4,3,2,2,2],[3,2,1,1]] => ([(2,5),(3,4),(4,5)],6) => 90
[[5,4,3,3,2],[4,3,2,2]] => ([(2,5),(3,4)],6) => 180
[[5,4,3,2,2],[4,3,2,1]] => ([(3,5),(4,5)],6) => 240
[[6,5,4,3,2],[5,4,3,2]] => ([(4,5)],6) => 360
[[1,1,1,1,1,1],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[2,2,2,2,2,1],[1,1,1,1,1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => 6
[[2,2,2,2,1,1],[1,1,1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[3,3,3,3,2,1],[2,2,2,2,1]] => ([(2,3),(3,5),(5,4)],6) => 30
[[2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => 20
[[3,3,3,2,2,1],[2,2,2,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,3,3,2,1,1],[2,2,2,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(4,5)],6) => 120
[[2,2,1,1,1,1],[1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => 15
[[3,3,2,2,2,1],[2,2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[3,3,2,2,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,3)],6) => 90
[[4,4,3,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4)],6) => 180
[[3,3,2,1,1,1],[2,2,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,4,3,2,2,1],[3,3,2,1,1]] => ([(2,5),(3,4)],6) => 180
[[4,4,3,2,1,1],[3,3,2,1]] => ([(2,5),(3,4)],6) => 180
[[5,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5)],6) => 360
[[2,1,1,1,1,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => 6
[[3,2,2,2,2,1],[2,1,1,1,1]] => ([(2,3),(3,5),(5,4)],6) => 30
[[3,2,2,2,1,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,3,3,3,2,1],[3,2,2,2,1]] => ([(3,4),(4,5)],6) => 120
[[3,2,2,1,1,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => 60
[[4,3,3,2,2,1],[3,2,2,1,1]] => ([(2,5),(3,4)],6) => 180
[[4,3,3,2,1,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => 180
[[5,4,4,3,2,1],[4,3,3,2,1]] => ([(4,5)],6) => 360
[[3,2,1,1,1,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => 30
[[4,3,2,2,2,1],[3,2,1,1,1]] => ([(3,4),(4,5)],6) => 120
[[4,3,2,2,1,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => 180
[[5,4,3,3,2,1],[4,3,2,2,1]] => ([(4,5)],6) => 360
[[4,3,2,1,1,1],[3,2,1]] => ([(3,4),(4,5)],6) => 120
[[5,4,3,2,2,1],[4,3,2,1,1]] => ([(4,5)],6) => 360
[[5,4,3,2,1,1],[4,3,2,1]] => ([(4,5)],6) => 360
[[6,5,4,3,2,1],[5,4,3,2,1]] => ([],6) => 720
[[7],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[6,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[[5,2],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => 14
[[6,2],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => 20
[[5,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 15
[[4,3],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => 14
[[6,3],[2]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => 34
[[4,2,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => 35
[[5,2,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => 64
[[5,2,2],[1,1]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => 50
[[4,1,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 20
[[6,4],[3]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => 34
[[3,3,1],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => 21
[[5,3,1],[2]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => 99
[[3,2,2],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => 21
[[5,3,2],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 155
[[3,2,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => 35
[[4,2,1,1],[1]] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => 90
[[5,3,3],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => 71
[[4,2,2,1],[1,1]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => 111
[[4,2,2,2],[1,1,1]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 55
[[3,1,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 15
[[6,5],[4]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => 20
[[5,4,1],[3]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => 78
[[5,4,2],[3,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => 169
[[4,3,1,1],[2]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => 111
[[5,4,3],[3,2]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => 155
[[2,2,2,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => 14
[[4,3,2,1],[2,1]] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => 272
[[4,3,2,2],[2,1,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => 181
[[2,2,1,1,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => 14
[[3,2,1,1,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => 64
[[5,4,4],[3,3]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => 50
[[4,3,3,1],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => 132
[[4,3,3,2],[2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 181
[[3,2,2,1,1],[1,1]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => 99
[[4,3,3,3],[2,2,2]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => 55
[[3,2,2,2,1],[1,1,1]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => 78
[[3,2,2,2,2],[1,1,1,1]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => 29
[[2,1,1,1,1,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[[6,6],[5]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6
[[5,5,1],[4]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => 29
[[5,5,2],[4,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 78
[[4,4,1,1],[3]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 55
[[5,5,3],[4,2]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => 99
[[4,4,2,1],[3,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => 181
[[4,4,2,2],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 132
[[3,3,1,1,1],[2]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => 50
[[5,5,4],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 64
[[4,4,3,1],[3,2]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 181
[[4,4,3,2],[3,2,1]] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 272
[[3,3,2,1,1],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 155
[[4,4,3,3],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => 111
[[3,3,2,2,1],[2,1,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => 169
[[3,3,2,2,2],[2,1,1,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 78
[[2,2,1,1,1,1],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => 20
[[5,5,5],[4,4]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 15
[[4,4,4,1],[3,3]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => 55
[[4,4,4,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => 111
[[3,3,3,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => 71
[[4,4,4,3],[3,3,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => 90
[[3,3,3,2,1],[2,2,1]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => 155
[[3,3,3,2,2],[2,2,1,1]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => 99
[[2,2,2,1,1,1],[1,1]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => 34
[[4,4,4,4],[3,3,3]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 20
[[3,3,3,3,1],[2,2,2]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => 50
[[3,3,3,3,2],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 64
[[2,2,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => 34
[[3,3,3,3,3],[2,2,2,2]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 15
[[2,2,2,2,2,1],[1,1,1,1]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => 20
[[2,2,2,2,2,2],[1,1,1,1,1]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6
[[1,1,1,1,1,1,1],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[8],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[7,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[[6,2],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => 20
[[6,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => 21
[[5,3],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => 28
[[5,2,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => 64
[[5,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => 35
[[4,4],[]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 14
[[4,3,1],[]] => ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 70
[[4,2,2],[]] => ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 56
[[4,2,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => 90
[[4,1,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => 35
[[3,3,2],[]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => 42
[[3,3,1,1],[]] => ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 56
[[3,2,2,1],[]] => ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 70
[[3,2,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => 64
[[3,1,1,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => 21
[[2,2,2,2],[]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 14
[[2,2,2,1,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => 28
[[2,2,1,1,1,1],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => 20
[[2,1,1,1,1,1,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[[1,1,1,1,1,1,1,1],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[9],[]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[8,1],[]] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[[7,2],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9) => 27
[[7,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => 28
[[6,3],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9) => 48
[[6,2,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => 105
[[6,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => 56
[[5,4],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) => 42
[[5,3,1],[]] => ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => 162
[[5,2,2],[]] => ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => 120
[[5,2,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => 189
[[5,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9) => 70
[[4,4,1],[]] => ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 84
[[4,3,2],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => 168
[[4,3,1,1],[]] => ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => 216
[[4,2,2,1],[]] => ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => 216
[[4,2,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => 189
[[4,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => 56
[[3,3,3],[]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 42
[[3,3,2,1],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => 168
[[3,3,1,1,1],[]] => ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => 120
[[3,2,2,2],[]] => ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 84
[[3,2,2,1,1],[]] => ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => 162
[[3,2,1,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => 105
[[3,1,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => 28
[[2,2,2,2,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) => 42
[[2,2,2,1,1,1],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9) => 48
[[2,2,1,1,1,1,1],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9) => 27
[[2,1,1,1,1,1,1,1],[]] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[[1,1,1,1,1,1,1,1,1],[]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[10],[]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[9,1],[]] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[[8,2],[]] => ([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10) => 35
[[8,1,1],[]] => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10) => 36
[[7,3],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10) => 75
[[7,2,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => 160
[[7,1,1,1],[]] => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10) => 84
[[6,4],[]] => ([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10) => 90
[[6,3,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => 315
[[6,2,2],[]] => ([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => 225
[[6,2,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => 350
[[6,1,1,1,1],[]] => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10) => 126
[[5,5],[]] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 42
[[5,4,1],[]] => ([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => 288
[[5,3,2],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => 450
[[5,3,1,1],[]] => ([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 567
[[5,2,2,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 525
[[5,2,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10) => 448
[[5,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10) => 126
[[4,4,2],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => 252
[[4,4,1,1],[]] => ([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => 300
[[4,3,3],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => 210
[[4,3,2,1],[]] => ([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => 768
[[4,3,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 525
[[4,2,2,2],[]] => ([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => 300
[[4,2,2,1,1],[]] => ([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 567
[[4,2,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => 350
[[4,1,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10) => 84
[[3,3,3,1],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => 210
[[3,3,2,2],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => 252
[[3,3,2,1,1],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => 450
[[3,3,1,1,1,1],[]] => ([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => 225
[[3,2,2,2,1],[]] => ([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => 288
[[3,2,2,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => 315
[[3,2,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => 160
[[3,1,1,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10) => 36
[[2,2,2,2,2],[]] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 42
[[2,2,2,2,1,1],[]] => ([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10) => 90
[[2,2,2,1,1,1,1],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10) => 75
[[2,2,1,1,1,1,1,1],[]] => ([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10) => 35
[[2,1,1,1,1,1,1,1,1],[]] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[[1,1,1,1,1,1,1,1,1,1],[]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[5,4,3,2,1],[]] => ([(0,7),(0,8),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(12,10),(12,14),(13,11),(13,14)],15) => 292864
[[4,4,4,4],[3,2,1]] => ([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => 768
[[5,5,5,5,5],[4,3,2,1]] => ([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => 292864
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Description
The number of linear extensions of a poset.
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.