Processing math: 100%

Identifier
Mp00185: Skew partitions —cell poset⟶ Posets
Mp00307: Posets —promotion cycle type⟶ Integer partitions
Images
[[1],[]] => ([],1) => [1]
[[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) => [3,3]
[[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) => [3,2]
[[4,2],[2]] => ([(0,3),(1,2)],4) => [4,2]
[[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) => [4,2]
[[4,2,1],[2,1]] => ([(2,3)],4) => [4,4,4]
[[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) => [3,2]
[[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) => [4,4,4]
[[2,2,2],[1,1]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[3,3,2],[2,2]] => ([(0,3),(1,2)],4) => [4,2]
[[3,2,2],[2,1]] => ([(1,3),(2,3)],4) => [8]
[[4,3,2],[3,2]] => ([(2,3)],4) => [4,4,4]
[[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) => [4,2]
[[3,3,2,1],[2,2,1]] => ([(2,3)],4) => [4,4,4]
[[2,1,1,1],[1]] => ([(1,2),(2,3)],4) => [4]
[[3,2,2,1],[2,1,1]] => ([(2,3)],4) => [4,4,4]
[[3,2,1,1],[2,1]] => ([(2,3)],4) => [4,4,4]
[[4,3,2,1],[3,2,1]] => ([],4) => [4,4,4,4,4,4]
[[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) => [3,2]
[[4,2],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => [5,4]
[[5,2],[2]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[3,1,1],[]] => ([(0,3),(0,4),(3,2),(4,1)],5) => [4,2]
[[4,2,1],[1,1]] => ([(1,3),(1,4),(4,2)],5) => [15]
[[4,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[5,2,1],[2,1]] => ([(2,3),(3,4)],5) => [5,5,5,5]
[[3,3],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2]
[[4,3],[2]] => ([(0,3),(1,2),(1,4),(3,4)],5) => [5,4]
[[5,3],[3]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[2,2,1],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2]
[[3,3,1],[1,1]] => ([(1,2),(1,3),(2,4),(3,4)],5) => [5,5]
[[3,2,1],[1]] => ([(0,3),(0,4),(1,2),(1,4)],5) => [12,4]
[[4,3,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => [15,5,5]
[[4,2,1],[2]] => ([(0,4),(1,2),(1,3)],5) => [10,10]
[[5,3,1],[3,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[3,2,2],[1,1]] => ([(0,4),(1,2),(1,3),(3,4)],5) => [4,4,3]
[[4,3,2],[2,2]] => ([(0,4),(1,2),(1,3)],5) => [10,10]
[[4,2,2],[2,1]] => ([(0,4),(1,4),(2,3)],5) => [10,10]
[[5,3,2],[3,2]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[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) => [10,10]
[[4,3,2,1],[2,2,1]] => ([(2,3),(2,4)],5) => [10,10,10,10]
[[3,1,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[4,2,2,1],[2,1,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[4,2,1,1],[2,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[5,3,2,1],[3,2,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[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) => [4,4,3]
[[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) => [5,5,5,5]
[[2,2,2],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2]
[[3,3,2],[2,1]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [12,4]
[[4,4,2],[3,2]] => ([(0,4),(1,4),(2,3)],5) => [10,10]
[[3,2,2],[2]] => ([(1,2),(1,3),(2,4),(3,4)],5) => [5,5]
[[4,3,2],[3,1]] => ([(1,4),(2,3),(2,4)],5) => [15,5,5]
[[5,4,2],[4,2]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[2,2,1,1],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => [5,4]
[[3,3,2,1],[2,1,1]] => ([(1,4),(2,3),(2,4)],5) => [15,5,5]
[[3,3,1,1],[2,1]] => ([(0,4),(1,4),(2,3)],5) => [10,10]
[[4,4,2,1],[3,2,1]] => ([(2,4),(3,4)],5) => [10,10,10,10]
[[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) => [10,10,10,10]
[[4,3,1,1],[3,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[5,4,2,1],[4,2,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[3,3,3],[2,2]] => ([(0,3),(1,2),(2,4),(3,4)],5) => [4,2]
[[4,4,3],[3,3]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[4,3,3],[3,2]] => ([(1,4),(2,3),(3,4)],5) => [15]
[[5,4,3],[4,3]] => ([(2,3),(3,4)],5) => [5,5,5,5]
[[2,2,2,1],[1,1]] => ([(0,3),(1,2),(1,4),(3,4)],5) => [5,4]
[[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) => [10,10]
[[4,4,3,1],[3,3,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[3,2,2,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => [15,5,5]
>>> Load all 1121 entries. <<<
[[4,3,3,1],[3,2,1]] => ([(2,4),(3,4)],5) => [10,10,10,10]
[[4,3,2,1],[3,2]] => ([(2,3),(2,4)],5) => [10,10,10,10]
[[5,4,3,1],[4,3,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[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) => [5,5]
[[3,3,2,2],[2,2,1]] => ([(0,4),(1,4),(2,3)],5) => [10,10]
[[4,4,3,2],[3,3,2]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[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) => [5,5,5,5,5,5]
[[4,3,2,2],[3,2,1]] => ([(2,4),(3,4)],5) => [10,10,10,10]
[[5,4,3,2],[4,3,2]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[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) => [5,5]
[[3,3,3,2,1],[2,2,2,1]] => ([(2,3),(3,4)],5) => [5,5,5,5]
[[2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(4,2)],5) => [5,5]
[[3,3,2,2,1],[2,2,1,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[3,3,2,1,1],[2,2,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[4,4,3,2,1],[3,3,2,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[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) => [5,5,5,5]
[[3,2,2,1,1],[2,1,1]] => ([(1,4),(2,3)],5) => [5,5,5,5,5,5]
[[4,3,3,2,1],[3,2,2,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[3,2,1,1,1],[2,1]] => ([(2,3),(3,4)],5) => [5,5,5,5]
[[4,3,2,2,1],[3,2,1,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[4,3,2,1,1],[3,2,1]] => ([(3,4)],5) => [5,5,5,5,5,5,5,5,5,5,5,5]
[[5,4,3,2,1],[4,3,2,1]] => ([],5) => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
[[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) => [5,4]
[[5,2],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [6,5,3]
[[6,2],[2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3]
[[4,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [5,5]
[[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) => [6,6,3]
[[6,2,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => [6,6,6,6,6]
[[3,3],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [3,2]
[[4,3],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [8,4,2]
[[5,3],[2]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [6,6,5,2]
[[6,3],[3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => [6,6,6,2]
[[3,2,1],[]] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => [12,4]
[[4,3,1],[1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [18,12]
[[4,2,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => [26,5,4]
[[5,3,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => [24,6,6,6,6,6]
[[5,2,1],[2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => [12,12,12,4]
[[6,3,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,2,2],[1,1]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [11,5,5,5]
[[5,3,2],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[5,2,2],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => [12,12,12,4]
[[6,3,2],[3,2]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,1,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [5,5]
[[4,2,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(5,2)],6) => [24,12]
[[4,2,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[5,3,2,1],[2,2,1]] => ([(2,3),(2,4),(4,5)],6) => [18,18,18,18,18]
[[4,1,1,1],[1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => [6,6,6,2]
[[5,2,2,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[5,2,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[6,3,2,1],[3,2,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,4],[2]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [5,4]
[[5,4],[3]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [6,5,3]
[[6,4],[4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3]
[[3,3,1],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [13,5,3]
[[4,4,1],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [18,12]
[[4,3,1],[2]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => [21,9,5,5]
[[5,4,1],[3,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => [24,6,6,6,6,6]
[[5,3,1],[3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[6,4,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[2,2,2],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [3,2]
[[3,3,2],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [13,5,3]
[[4,4,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [6,6,6,6,3,3]
[[3,2,2],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [13,5,3]
[[4,3,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => [20,20,6,5,4,3,3]
[[5,4,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[4,2,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [6,6,6,6,3,3]
[[5,3,2],[3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[6,4,2],[4,2]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[2,2,1,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [5,4]
[[3,3,2,1],[1,1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [18,12]
[[3,3,1,1],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [6,6,6,6,3,3]
[[4,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,2,1,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => [26,5,4]
[[4,3,2,1],[2,1,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => [72,24]
[[4,3,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[5,4,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[4,2,1,1],[2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[5,3,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,3,1,1],[3,1]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[6,4,2,1],[4,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [11,5,5,5]
[[5,4,3],[3,3]] => ([(0,5),(1,3),(1,4),(5,2)],6) => [12,12,12,4]
[[5,3,3],[3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[6,4,3],[4,3]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,2,2,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => [21,9,5,5]
[[4,3,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => [24,24,18]
[[4,3,2,1],[2,2]] => ([(0,4),(0,5),(1,2),(1,3)],6) => [12,12,12,12,12,12,4,4]
[[5,4,3,1],[3,3,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,2,2,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[5,3,3,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,3,2,1],[3,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[6,4,3,1],[4,3,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,2,2,2],[1,1,1]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => [5,5,5,4]
[[4,3,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[4,3,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,4,4]
[[5,4,3,2],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,2,2,2],[2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[5,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[5,3,2,2],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[6,4,3,2],[4,3,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [18,18,9]
[[4,3,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(4,5)],6) => [18,18,18,18,18]
[[3,2,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(5,2)],6) => [12,12,12,4]
[[4,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,3,2,1,1],[2,2,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[3,1,1,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3]
[[4,2,2,2,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[5,3,3,2,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,2,1,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[5,3,2,2,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,3,2,1,1],[3,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[6,4,3,2,1],[4,3,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [5,5,5,4]
[[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) => [6,6,6,6,6]
[[3,3,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [13,5,3]
[[4,4,2],[3,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [21,9,5,5]
[[5,5,2],[4,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[4,3,2],[3]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [18,12]
[[5,4,2],[4,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => [24,6,6,6,6,6]
[[6,5,2],[5,2]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,3,1,1],[2]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [11,5,5,5]
[[4,4,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => [24,24,18]
[[4,4,1,1],[3,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[5,5,2,1],[4,2,1]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[4,3,1,1],[3]] => ([(1,4),(1,5),(4,3),(5,2)],6) => [24,12]
[[5,4,2,1],[4,1,1]] => ([(2,3),(2,4),(4,5)],6) => [18,18,18,18,18]
[[5,4,1,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[6,5,2,1],[5,2,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,3,3],[2,1]] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [12,4]
[[4,4,3],[3,2]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => [26,5,4]
[[5,5,3],[4,3]] => ([(0,5),(1,5),(2,3),(3,4)],6) => [12,12,12,4]
[[4,3,3],[3,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [18,12]
[[5,4,3],[4,2]] => ([(1,4),(2,3),(2,5),(4,5)],6) => [24,6,6,6,6,6]
[[6,5,3],[5,3]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[2,2,2,1],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [8,4,2]
[[3,3,3,1],[2,1,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [18,12]
[[3,3,2,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => [20,20,6,5,4,3,3]
[[4,4,3,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => [72,24]
[[4,4,2,1],[3,2]] => ([(0,5),(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,4,4]
[[5,5,3,1],[4,3,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[3,2,2,1],[2]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [18,12]
[[4,3,3,1],[3,1,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,2,1],[3,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => [72,24]
[[5,4,3,1],[4,2,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[5,4,2,1],[4,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[6,5,3,1],[5,3,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,3,2,2],[2,1,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [21,9,5,5]
[[4,4,3,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[4,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,4),(3,4)],6) => [12,12,12,12,12,12,4,4]
[[5,5,3,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,3,2,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => [24,24,18]
[[5,4,3,2],[4,2,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,2,2],[4,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[6,5,3,2],[5,3,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[2,2,1,1,1],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [6,5,3]
[[3,3,2,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => [24,6,6,6,6,6]
[[3,3,2,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[4,4,3,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[3,3,1,1,1],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => [12,12,12,4]
[[4,4,2,2,1],[3,2,1,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,4,2,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,5,3,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[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) => [18,18,18,18,18]
[[4,3,2,1,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,3,2,1],[4,2,2,1]] => ([(3,4),(3,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[4,3,1,1,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[5,4,2,2,1],[4,2,1,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,2,1,1],[4,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[6,5,3,2,1],[5,3,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,4,4],[3,3]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [5,5]
[[5,5,4],[4,4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3]
[[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) => [6,6,6,6,6]
[[3,3,3,1],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [11,5,5,5]
[[4,4,4,1],[3,3,1]] => ([(1,4),(2,3),(3,5),(4,5)],6) => [24,12]
[[4,4,3,1],[3,3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[5,5,4,1],[4,4,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,3,1],[3,2]] => ([(1,5),(2,3),(2,4),(4,5)],6) => [24,24,18]
[[5,4,4,1],[4,3,1]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[5,4,3,1],[4,3]] => ([(2,3),(2,4),(4,5)],6) => [18,18,18,18,18]
[[6,5,4,1],[5,4,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[2,2,2,2],[1,1]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [5,4]
[[3,3,3,2],[2,2,1]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => [26,5,4]
[[4,4,4,2],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[3,3,2,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [6,6,6,6,3,3]
[[4,4,3,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[5,5,4,2],[4,4,2]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[3,2,2,2],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [18,12]
[[4,3,3,2],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => [72,24]
[[5,4,4,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,3,2,2],[3,2]] => ([(2,3),(2,4),(3,5),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[5,4,3,2],[4,3,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[6,5,4,2],[5,4,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[2,2,2,1,1],[1,1]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [6,6,5,2]
[[3,3,3,2,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => [24,6,6,6,6,6]
[[3,3,3,1,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[4,4,4,2,1],[3,3,2,1]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[3,3,2,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => [18,18,9]
[[4,4,3,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,4,3,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[5,5,4,2,1],[4,4,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,2,2,1,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => [24,6,6,6,6,6]
[[4,3,3,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[4,3,3,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,4,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[4,3,2,1,1],[3,2]] => ([(2,3),(2,4),(4,5)],6) => [18,18,18,18,18]
[[5,4,3,2,1],[4,3,1,1]] => ([(3,4),(3,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[5,4,3,1,1],[4,3,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[6,5,4,2,1],[5,4,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,3,3,3],[2,2,2]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [5,5]
[[4,4,4,3],[3,3,3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => [6,6,6,2]
[[4,4,3,3],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[5,5,4,3],[4,4,3]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,3,3],[3,2,2]] => ([(1,4),(2,3),(3,5),(4,5)],6) => [24,12]
[[5,4,4,3],[4,3,3]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[5,4,3,3],[4,3,2]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[6,5,4,3],[5,4,3]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[2,2,2,2,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [6,5,3]
[[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) => [12,12,12,4]
[[4,4,4,3,1],[3,3,3,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,3,2,2,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => [18,18,9,6,6,6,6,3,3]
[[4,4,3,3,1],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[4,4,3,2,1],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,5,4,3,1],[4,4,3,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,2,2,2,1],[2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => [24,6,6,6,6,6]
[[4,3,3,3,1],[3,2,2,1]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[4,3,3,2,1],[3,2,2]] => ([(1,5),(2,3),(2,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,4,3,1],[4,3,3,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,2,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
[[5,4,3,3,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[5,4,3,2,1],[4,3,2]] => ([(3,4),(3,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[6,5,4,3,1],[5,4,3,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [6,6,3]
[[3,3,3,2,2],[2,2,2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => [12,12,12,4]
[[4,4,4,3,2],[3,3,3,2]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,3,2,2,2],[2,2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => [18,18,9]
[[4,4,3,3,2],[3,3,2,2]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[4,4,3,2,2],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,5,4,3,2],[4,4,3,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,3,2,2],[3,2,2,1]] => ([(1,5),(2,5),(3,4)],6) => [12,12,12,12,12,12,12,12,12,12]
[[5,4,4,3,2],[4,3,3,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,2,2,2],[3,2,1,1]] => ([(2,5),(3,4),(4,5)],6) => [18,18,18,18,18]
[[5,4,3,3,2],[4,3,2,2]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,3,2,2],[4,3,2,1]] => ([(3,5),(4,5)],6) => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
[[6,5,4,3,2],[5,4,3,2]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [6,6,3]
[[3,3,3,3,2,1],[2,2,2,2,1]] => ([(2,3),(3,5),(5,4)],6) => [6,6,6,6,6]
[[2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => [6,6,6,2]
[[3,3,3,2,2,1],[2,2,2,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,3,3,2,1,1],[2,2,2,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[2,2,1,1,1,1],[1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3]
[[3,3,2,2,2,1],[2,2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[3,3,2,2,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,3)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
[[4,4,3,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,3,2,1,1,1],[2,2,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,4,3,2,2,1],[3,3,2,1,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,4,3,2,1,1],[3,3,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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) => [6,6,6,6,6]
[[3,2,2,2,1,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,3,3,2,1],[3,2,2,2,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,2,2,1,1,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6]
[[4,3,3,2,2,1],[3,2,2,1,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,3,2,1,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,4,3,2,1],[4,3,3,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[3,2,1,1,1,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => [6,6,6,6,6]
[[4,3,2,2,2,1],[3,2,1,1,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,2,2,1,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,3,3,2,1],[4,3,2,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[4,3,2,1,1,1],[3,2,1]] => ([(3,4),(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,3,2,2,1],[4,3,2,1,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[5,4,3,2,1,1],[4,3,2,1]] => ([(4,5)],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[6,5,4,3,2,1],[5,4,3,2,1]] => ([],6) => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
[[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]
[[7,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7]
[[5,2],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [6,5,3]
[[6,2],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [7,7,6]
[[7,2],[2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[5,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [6,6,3]
[[6,2,1],[1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => [35]
[[6,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[7,2,1],[2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[4,3],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [8,4,2]
[[5,3],[1]] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [16,7,5]
[[6,3],[2]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => [7,7,7,7,6]
[[7,3],[3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[4,2,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => [26,5,4]
[[5,3,1],[1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [35,14,14]
[[5,2,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => [44,14,6]
[[6,3,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [35,7,7,7,7,7,7,7,7,7]
[[6,2,1],[2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [14,14,14,14,14]
[[7,3,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,2,2],[1,1]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => [13,13,6,6,6,6]
[[6,3,2],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[6,2,2],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [14,14,14,14,14]
[[7,3,2],[3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,1,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => [6,6,6,2]
[[5,2,2,1],[1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [35,35]
[[5,2,1,1],[1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[6,3,2,1],[2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[5,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[6,2,2,1],[2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,2,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,3,2,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4],[1]] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [8,4,2]
[[5,4],[2]] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [16,7,5]
[[6,4],[3]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => [7,7,7,7,6]
[[7,4],[4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[3,3,1],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [13,5,3]
[[4,4,1],[1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [7,7,7,7,7]
[[4,3,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [32,22,16]
[[5,4,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [28,28,14,14,7,7]
[[5,3,1],[2]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => [45,21,21,6,6]
[[6,4,1],[3,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [35,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,3,1],[3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[7,4,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [13,5,3]
[[4,3,2],[1,1]] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => [40,21,16]
[[5,4,2],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[4,2,2],[1]] => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [22,11,7,7,6,3]
[[5,3,2],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [67,30,10,7,7,7,7,7,7,6]
[[6,4,2],[3,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,2,2],[2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [7,7,7,7,7,7,7,7,7,7]
[[6,3,2],[3,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[7,4,2],[4,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => [26,5,4]
[[4,3,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [14,14,14,14,14,14,14,14]
[[4,3,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[5,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[4,2,1,1],[1]] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => [44,30,10,6]
[[5,3,2,1],[2,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [91,91,35,14,14]
[[5,3,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,2,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,2,1,1],[2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[6,3,2,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,3,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,4,2,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => [13,13,13,6,6,6,6,5,3]
[[6,4,3],[3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[6,3,3],[3,2]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[7,4,3],[4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,2,1],[1,1]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => [49,25,14,6,6,6,5]
[[5,3,3,1],[2,2,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [77,35,35,35]
[[5,3,2,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [42,42,42,42,42]
[[6,4,3,1],[3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,2,2,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[6,3,3,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,3,2,1],[3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,4,3,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,2,2],[1,1,1]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => [19,6,6,6,6,6,6]
[[5,3,3,2],[2,2,2]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [28,28,28,14,14,14]
[[5,3,2,2],[2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [42,42,42,42,42]
[[6,4,3,2],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,2,2,2],[2,1,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[6,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,3,2,2],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,4,3,2],[4,3,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,1,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [6,6,3]
[[4,2,2,2,1],[1,1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [35,35]
[[4,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [28,28,28,14,14,14]
[[5,3,3,2,1],[2,2,2,1]] => ([(2,5),(2,6),(5,4),(6,3)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[4,2,1,1,1],[1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[5,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,3,2,1,1],[2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,1,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[5,2,2,2,1],[2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,3,3,2,1],[3,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,2,1,1,1],[2,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,3,2,2,1],[3,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,3,2,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5],[3]] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [6,5,3]
[[6,5],[4]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [7,7,6]
[[7,5],[5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[4,4,1],[2]] => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => [27,6,6,6,4]
[[5,5,1],[3,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [35,14,14]
[[5,4,1],[3]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => [32,28,6,6,6]
[[6,5,1],[4,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [35,7,7,7,7,7,7,7,7,7]
[[6,4,1],[4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[7,5,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2],[1]] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => [9,9,9,9,3,3]
[[4,4,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [24,24,14,12,11,6]
[[5,5,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[4,3,2],[2]] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => [24,24,14,12,11,6]
[[5,4,2],[3,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [59,37,7,7,7,7,7,7,7,7,6,6,5]
[[6,5,2],[4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2],[3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[6,4,2],[4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,5,2],[5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,1,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [22,11,7,7,6,3]
[[4,4,2,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [91,35,7,7,7]
[[4,4,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[5,5,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[4,3,1,1],[2]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => [49,25,14,6,6,6,5]
[[5,4,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [49,49,49,35,35,21,21,21]
[[5,4,1,1],[3,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,2,1],[4,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,1,1],[3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [28,28,28,14,14,14]
[[6,4,2,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,4,1,1],[4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,5,2,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3],[1,1]] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [13,5,3]
[[4,4,3],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => [22,11,7,7,6,3]
[[5,5,3],[3,3]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [7,7,7,7,7,7,7,7,7,7]
[[4,3,3],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => [40,21,16]
[[5,4,3],[3,2]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => [67,30,10,7,7,7,7,7,7,6]
[[6,5,3],[4,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[5,3,3],[3,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[6,4,3],[4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,5,3],[5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [8,4,2]
[[3,3,3,1],[1,1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [7,7,7,7,7]
[[3,3,2,1],[1,1]] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => [24,24,14,12,11,6]
[[4,4,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [91,35,7,7,7]
[[4,4,2,1],[2,2]] => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => [14,14,14,14,14,14,14,14,14,14]
[[5,5,3,1],[3,3,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [32,22,16]
[[4,3,3,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [91,35,7,7,7]
[[4,3,2,1],[2,1]] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => [44,44,30,30,30,30,24,24,10,6]
[[5,4,3,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [70,70,70,70,35,14,14,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,1],[3,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[6,5,3,1],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,2,1],[2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[5,3,3,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,1],[3,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => [84,84,84,28,28,28]
[[6,4,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,5,3,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2],[1,1,1]] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [27,6,6,6,4]
[[4,4,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[4,4,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => [14,14,14,14,14,14,14,14,14,14]
[[5,5,3,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2],[2,1,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => [92,40,37,6,6]
[[5,4,3,2],[3,2,2]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => [84,84,84,28,28,28]
[[5,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[6,5,3,2],[4,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,2],[3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[6,4,3,2],[4,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,4,2,2],[4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,5,3,2],[5,3,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,1,1,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [6,5,3]
[[3,3,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [35,14,14]
[[3,3,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[4,4,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[3,3,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [7,7,7,7,7,7,7,7,7,7]
[[4,4,2,2,1],[2,2,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,2,1,1],[2,2,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,3,2,1],[3,3,2,1]] => ([(3,4),(3,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,1,1,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => [44,14,6]
[[4,3,2,2,1],[2,1,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [91,91,35,14,14]
[[4,3,2,1,1],[2,1,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => [84,84,84,28,28,28]
[[5,4,3,2,1],[3,2,2,1]] => ([(2,5),(2,6),(3,4),(3,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[4,3,1,1,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,2,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,1,1],[3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,1,1,1],[2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[5,3,2,2,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,3,2,1,1],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,3,1,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,2,2,1],[4,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,2,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4],[3,3]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => [13,13,6,6,6,6]
[[6,5,4],[4,4]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [14,14,14,14,14]
[[6,4,4],[4,3]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[7,5,4],[5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,1],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => [44,24,24,6,6,6,6,6,6,4]
[[5,4,4,1],[3,3,1]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [77,35,35,35]
[[5,4,3,1],[3,3]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [42,42,42,42,42]
[[6,5,4,1],[4,4,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,3,3,1],[3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[6,4,4,1],[4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,4,3,1],[4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[7,5,4,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2],[1,1]] => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => [27,6,6,6,4]
[[4,3,3,2],[2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [92,40,37,6,6]
[[5,4,4,2],[3,3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[4,3,2,2],[2,2]] => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => [14,14,14,14,14,14,14,14,14,14]
[[5,4,3,2],[3,3,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[6,5,4,2],[4,4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,2,2,2],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[5,3,3,2],[3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => [84,84,84,28,28,28]
[[6,4,4,2],[4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,3,2,2],[3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,3,2],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,5,4,2],[5,4,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,1,1],[1,1]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => [45,21,21,6,6]
[[4,3,3,2,1],[2,2,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [49,49,49,35,35,21,21,21]
[[4,3,3,1,1],[2,2,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[5,4,4,2,1],[3,3,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[4,3,2,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [42,42,42,42,42]
[[5,4,3,2,1],[3,3,1,1]] => ([(1,5),(1,6),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,1,1],[3,3,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,2,2,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,2,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,1,1],[3,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,3,2,1,1],[3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,4,3,1,1],[4,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3],[2,2,2]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => [19,6,6,6,6,6,6]
[[5,4,4,3],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[5,4,3,3],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [42,42,42,42,42]
[[6,5,4,3],[4,4,3]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,3,3,3],[3,2,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [28,28,28,14,14,14]
[[6,4,4,3],[4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,4,3,3],[4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[7,5,4,3],[5,4,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,1],[1,1,1]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => [32,28,6,6,6]
[[4,3,3,3,1],[2,2,2,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [35,35,35,14,14]
[[4,3,3,2,1],[2,2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [42,42,42,42,42]
[[5,4,4,3,1],[3,3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,2,2,1],[2,2,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,3,1],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,2,1],[3,3,2]] => ([(1,5),(1,6),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,2,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,3,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,3,3,2,1],[3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,4,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,2,1],[3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,2],[1,1,1,1]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => [6,6,6,6,5]
[[4,3,3,3,2],[2,2,2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[4,3,3,2,2],[2,2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [42,42,42,42,42]
[[5,4,4,3,2],[3,3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,2,2,2],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [42,42,42,42,42]
[[5,4,3,3,2],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,2,2],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,2,2,2,2],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[5,3,3,3,2],[3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,2,2],[3,2,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,4,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,2,2],[3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,4,3,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,1,1,1,1,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [6]
[[3,2,2,2,2,1],[1,1,1,1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => [35]
[[3,2,2,2,1,1],[1,1,1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[4,3,3,3,2,1],[2,2,2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[3,2,2,1,1,1],[1,1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[4,3,3,2,2,1],[2,2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,3,2,1,1],[2,2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[3,2,1,1,1,1],[1,1]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [14,14,14,14,14]
[[4,3,2,2,2,1],[2,2,1,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,2,1,1],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,1,1,1],[2,2,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[3,1,1,1,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[4,2,2,2,2,1],[2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,2,2,1,1],[2,1,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,3,2,1],[3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,2,1,1,1],[2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,2,2,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,3,2,1,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,2,1,1,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,2,2,1],[3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,3,2,1,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,6],[5]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [6]
[[7,6],[6]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7]
[[5,5,1],[4]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => [6,6,6,6,5]
[[6,6,1],[5,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => [35]
[[6,5,1],[5]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => [35]
[[7,6,1],[6,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[4,4,2],[3]] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [27,6,6,6,4]
[[5,5,2],[4,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [32,28,6,6,6]
[[6,6,2],[5,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[5,4,2],[4]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [35,14,14]
[[6,5,2],[5,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [35,7,7,7,7,7,7,7,7,7]
[[7,6,2],[6,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,1,1],[3]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => [19,6,6,6,6,6,6]
[[5,5,2,1],[4,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [35,35,35,14,14]
[[5,5,1,1],[4,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[6,6,2,1],[5,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[5,4,1,1],[4]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [35,35]
[[6,5,2,1],[5,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[6,5,1,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,6,2,1],[6,2,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3],[2]] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [13,5,3]
[[4,4,3],[3,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [32,22,16]
[[5,5,3],[4,2]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => [45,21,21,6,6]
[[6,6,3],[5,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[4,3,3],[3]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [7,7,7,7,7]
[[5,4,3],[4,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [28,28,14,14,7,7]
[[6,5,3],[5,2]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [35,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,6,3],[6,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,1],[2]] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => [40,21,16]
[[4,4,3,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [91,35,7,7,7]
[[4,4,2,1],[3,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => [92,40,37,6,6]
[[5,5,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [49,49,49,35,35,21,21,21]
[[5,5,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [42,42,42,42,42]
[[6,6,3,1],[5,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,2,1],[3]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [14,14,14,14,14,14,14,14]
[[5,4,3,1],[4,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[5,4,2,1],[4,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [91,91,35,14,14]
[[6,5,3,1],[5,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,2,1],[5,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,6,3,1],[6,3,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,2,2],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [44,24,24,6,6,6,6,6,6,4]
[[5,5,3,2],[4,2,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[5,5,2,2],[4,2,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [42,42,42,42,42]
[[6,6,3,2],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,2,2],[4,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [77,35,35,35]
[[6,5,3,2],[5,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,2,2],[5,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[7,6,3,2],[6,3,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,1,1,1],[2]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => [13,13,6,6,6,6]
[[4,4,2,2,1],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [77,35,35,35]
[[4,4,2,1,1],[3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[5,5,3,2,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[4,4,1,1,1],[3,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[5,5,2,2,1],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,2,1,1],[4,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,6,3,2,1],[5,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,1,1,1],[3]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [35,35]
[[5,4,2,2,1],[4,1,1,1]] => ([(2,5),(2,6),(5,4),(6,3)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[5,4,2,1,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,3,2,1],[5,2,2,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,1,1,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,2,2,1],[5,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,2,1,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4],[3,2]] => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [26,5,4]
[[5,5,4],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [44,14,6]
[[6,6,4],[5,4]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [14,14,14,14,14]
[[5,4,4],[4,2]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [35,14,14]
[[6,5,4],[5,3]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [35,7,7,7,7,7,7,7,7,7]
[[7,6,4],[6,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => [40,21,16]
[[4,4,4,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [14,14,14,14,14,14,14,14]
[[4,4,3,1],[3,2]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [92,40,37,6,6]
[[5,5,4,1],[4,3,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [91,91,35,14,14]
[[5,5,3,1],[4,3]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [42,42,42,42,42]
[[6,6,4,1],[5,4,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,3,1],[3,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [91,35,7,7,7]
[[5,4,4,1],[4,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[5,4,3,1],[4,2]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [49,49,49,35,35,21,21,21]
[[6,5,4,1],[5,3,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,3,1],[5,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[7,6,4,1],[6,4,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,2],[1]] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [8,4,2]
[[3,3,3,2],[2,1,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [32,22,16]
[[4,4,4,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[3,3,2,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [24,24,14,12,11,6]
[[4,4,3,2],[3,2,1]] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => [44,44,30,30,30,30,24,24,10,6]
[[5,5,4,2],[4,3,2]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => [84,84,84,28,28,28]
[[4,4,2,2],[3,2]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => [14,14,14,14,14,14,14,14,14,14]
[[5,5,3,2],[4,3,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[6,6,4,2],[5,4,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[3,2,2,2],[2]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [7,7,7,7,7]
[[4,3,3,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [91,35,7,7,7]
[[5,4,4,2],[4,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2],[3,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [91,35,7,7,7]
[[5,4,3,2],[4,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [70,70,70,70,35,14,14,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,4,2],[5,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,2],[4,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,3,2],[5,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,6,4,2],[6,4,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,1,1],[1]] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [16,7,5]
[[3,3,3,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [28,28,14,14,7,7]
[[3,3,3,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[4,4,4,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[3,3,2,1,1],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [67,30,10,7,7,7,7,7,7,6]
[[4,4,3,2,1],[3,2,1,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [70,70,70,70,35,14,14,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,1,1],[3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => [84,84,84,28,28,28]
[[5,5,4,2,1],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[4,4,2,1,1],[3,2]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [42,42,42,42,42]
[[5,5,3,2,1],[4,3,1,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,3,1,1],[4,3,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[3,2,2,1,1],[2]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [35,14,14]
[[4,3,3,2,1],[3,1,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[4,3,3,1,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,2,1],[4,2,2,1]] => ([(3,4),(3,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,1,1],[3,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [91,91,35,14,14]
[[5,4,3,2,1],[4,2,1,1]] => ([(2,5),(2,6),(3,4),(3,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[5,4,3,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,1,1],[4,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,3,1,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [49,25,14,6,6,6,5]
[[5,5,4,3],[4,3,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[5,5,3,3],[4,3,2]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [42,42,42,42,42]
[[6,6,4,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,3],[4,2,2]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [77,35,35,35]
[[6,5,4,3],[5,3,3]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,5,3,3],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[7,6,4,3],[6,4,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,1],[2,1,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [59,37,7,7,7,7,7,7,7,7,6,6,5]
[[4,4,3,3,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [49,49,49,35,35,21,21,21]
[[4,4,3,2,1],[3,2,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[5,5,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,2,2,1],[3,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[5,5,3,3,1],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,3,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [49,49,49,35,35,21,21,21]
[[5,4,3,3,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[5,4,3,2,1],[4,2,2]] => ([(1,5),(1,6),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,2,2,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,2],[2,1,1,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [32,28,6,6,6]
[[4,4,3,3,2],[3,2,2,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2],[3,2,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
[[5,5,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,2,2,2],[3,2,1,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [42,42,42,42,42]
[[5,5,3,3,2],[4,3,2,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,3,2,2],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,2,2],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [35,35,35,14,14]
[[5,4,3,3,2],[4,2,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,3,2,2],[4,2,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,2,2,2],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,3,3,2],[5,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,1,1,1,1],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [7,7,6]
[[3,3,2,2,2,1],[2,1,1,1,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [35,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,1,1],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,2,1],[3,2,2,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,1,1,1],[2,1,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,1,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,1,1,1,1],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [14,14,14,14,14]
[[4,4,2,2,2,1],[3,2,1,1,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,2,2,1,1],[3,2,1,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,2,1,1,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[3,2,1,1,1,1],[2]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => [35]
[[4,3,2,2,2,1],[3,1,1,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[4,3,2,2,1,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,3,3,2,1],[4,2,2,2,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,2,1,1,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,1,1,1,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,2,2,1],[4,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,2,1,1],[4,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,2,1,1,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,5],[4,4]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [6,6,3]
[[6,6,5],[5,5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[6,5,5],[5,4]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => [35]
[[7,6,5],[6,5]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[4,4,4,1],[3,3]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => [19,6,6,6,6,6,6]
[[5,5,5,1],[4,4,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [35,35]
[[5,5,4,1],[4,4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[6,6,5,1],[5,5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,1],[4,3]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [35,35,35,14,14]
[[6,5,5,1],[5,4,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[6,5,4,1],[5,4]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[7,6,5,1],[6,5,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => [22,11,7,7,6,3]
[[4,4,4,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [49,25,14,6,6,6,5]
[[5,5,5,2],[4,4,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [28,28,28,14,14,14]
[[4,4,3,2],[3,3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[5,5,4,2],[4,4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,6,5,2],[5,5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2],[3,2]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [91,35,7,7,7]
[[5,4,4,2],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [49,49,49,35,35,21,21,21]
[[6,5,5,2],[5,4,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,3,2],[4,3]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[6,5,4,2],[5,4,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,6,5,2],[6,5,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => [13,13,13,6,6,6,6,5,3]
[[4,4,4,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [77,35,35,35]
[[4,4,4,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [28,28,28,14,14,14]
[[5,5,5,2,1],[4,4,2,1]] => ([(2,5),(3,4),(4,6),(5,6)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[4,4,3,1,1],[3,3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [28,28,28,14,14,14]
[[5,5,4,2,1],[4,4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,4,1,1],[4,4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,6,5,2,1],[5,5,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,1,1],[3,2]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [77,35,35,35]
[[5,4,4,2,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[5,4,4,1,1],[4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,5,2,1],[5,4,2,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,3,1,1],[4,3]] => ([(2,5),(2,6),(5,4),(6,3)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[6,5,4,2,1],[5,4,1,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,4,1,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,3],[2,2,1]] => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [26,5,4]
[[4,4,4,3],[3,3,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => [44,30,10,6]
[[5,5,5,3],[4,4,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[4,4,3,3],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[5,5,4,3],[4,4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,6,5,3],[5,5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [14,14,14,14,14,14,14,14]
[[5,4,4,3],[4,3,2]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [91,91,35,14,14]
[[6,5,5,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,3],[4,3,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[6,5,4,3],[5,4,2]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[7,6,5,3],[6,5,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,2,1],[1,1]] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [16,7,5]
[[3,3,3,3,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [35,14,14]
[[3,3,3,2,1],[2,2,1]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => [67,30,10,7,7,7,7,7,7,6]
[[4,4,4,3,1],[3,3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [91,91,35,14,14]
[[4,4,4,2,1],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [42,42,42,42,42]
[[5,5,5,3,1],[4,4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[3,3,2,2,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [21,21,21,14,14,14]
[[4,4,3,3,1],[3,3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,1],[3,3,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => [84,84,84,28,28,28]
[[5,5,4,3,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,4,2,1],[4,4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,6,5,3,1],[5,5,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [28,28,14,14,7,7]
[[4,3,3,3,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[4,3,3,2,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [70,70,70,70,35,14,14,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,3,1],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[5,4,4,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,2,1],[3,2]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[5,4,3,3,1],[4,3,1,1]] => ([(3,4),(3,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,2,1],[4,3,1]] => ([(2,5),(2,6),(3,4),(3,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[3,3,3,2,2],[2,2,1,1]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => [45,21,21,6,6]
[[4,4,4,3,2],[3,3,2,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,2,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [42,42,42,42,42]
[[5,5,5,3,2],[4,4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,4,3,2,2],[3,3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[5,5,4,3,2],[4,4,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,4,2,2],[4,4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[6,6,5,3,2],[5,5,3,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [49,49,49,35,35,21,21,21]
[[5,4,4,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,2,2],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,3,2,2],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[2,2,2,1,1,1],[1,1]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => [7,7,7,7,6]
[[3,3,3,2,2,1],[2,2,1,1,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [35,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2,1,1],[2,2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,1,1,1],[2,2,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[4,4,4,2,2,1],[3,3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,4,4,2,1,1],[3,3,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,5,3,2,1],[4,4,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[3,3,2,1,1,1],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [28,28,28]
[[4,4,3,2,2,1],[3,3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,4,3,2,1,1],[3,3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,3,1,1,1],[3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,4,2,2,1],[4,4,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,4,2,1,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,1,1,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [35,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2,1],[3,2,1,1,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,1,1,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,3,2,1,1,1],[3,2]] => ([(2,4),(2,6),(5,3),(6,5)],7) => [28,28,28,28,28,28]
[[5,4,3,2,2,1],[4,3,1,1,1]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,3,1,1,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,4],[3,3,3]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => [6,6,6,2]
[[5,5,5,4],[4,4,4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[5,5,4,4],[4,4,3]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[6,6,5,4],[5,5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,4],[4,3,3]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [35,35]
[[6,5,5,4],[5,4,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,4,4],[5,4,3]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[7,6,5,4],[6,5,4]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,3,1],[2,2,2]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => [13,13,6,6,6,6]
[[4,4,4,4,1],[3,3,3,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [35,35]
[[4,4,4,3,1],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[5,5,5,4,1],[4,4,4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,1],[3,3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [28,28,28,28,28,28,21,21,21]
[[5,5,4,4,1],[4,4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,4,3,1],[4,4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,6,5,4,1],[5,5,4,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,1],[3,2,2]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [77,35,35,35]
[[5,4,4,4,1],[4,3,3,1]] => ([(2,5),(3,4),(4,6),(5,6)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[5,4,4,3,1],[4,3,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,5,4,1],[5,4,4,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,3,1],[4,3,2]] => ([(2,6),(3,4),(3,5),(5,6)],7) => [28,28,28,28,28,28,28,28,28,28,28,28,21,21,21,21,21,21]
[[6,5,4,4,1],[5,4,3,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,4,3,1],[5,4,3]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[2,2,2,2,2],[1,1,1]] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [6,5,3]
[[3,3,3,3,2],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [44,14,6]
[[4,4,4,4,2],[3,3,3,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[3,3,3,2,2],[2,2,2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,2],[3,3,3,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[5,5,5,4,2],[4,4,4,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,2],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [21,21,21,14,14,14]
[[4,4,3,3,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => [84,84,84,28,28,28]
[[5,5,4,4,2],[4,4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,3,2,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,4,3,2],[4,4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,6,5,4,2],[5,5,4,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,2],[2,1,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [35,14,14]
[[4,3,3,3,2],[3,2,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [91,91,35,14,14]
[[5,4,4,4,2],[4,3,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,3,2,2],[3,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,3,2],[4,3,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,5,4,2],[5,4,4,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,2],[3,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [21,21,21,21,21,21,14,14,14,14,14,14]
[[5,4,3,3,2],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7) => [84,84,84,84,84,84,28,28,28,28,28,28]
[[5,4,3,2,2],[4,3,2]] => ([(3,4),(3,5),(4,6),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => [7,7,7,7,6]
[[3,3,3,3,2,1],[2,2,2,1,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [35,7,7,7,7,7,7,7,7,7]
[[3,3,3,3,1,1],[2,2,2,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[4,4,4,4,2,1],[3,3,3,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[3,3,3,2,1,1],[2,2,2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [21,21,21,21,21]
[[4,4,4,3,2,1],[3,3,3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,4,3,1,1],[3,3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,5,4,2,1],[4,4,4,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,1,1],[2,2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,2,1],[3,3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,1,1],[3,3,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,3,2,1,1],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,4,3,1,1],[4,4,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,1,1],[2,1,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [35,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,2,1],[3,2,2,1,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,1,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,4,4,2,1],[4,3,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,3,3,2,1,1],[3,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,4,3,1,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,1,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,2,1,1],[4,3,2]] => ([(3,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[3,3,3,3,3],[2,2,2,2]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [6,6,3]
[[4,4,4,4,3],[3,3,3,3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[4,4,4,3,3],[3,3,3,2]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[5,5,5,4,3],[4,4,4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,3],[3,3,2,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [28,28,28,14,14,14]
[[5,5,4,4,3],[4,4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,5,4,3,3],[4,4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,6,5,4,3],[5,5,4,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,3],[3,2,2,2]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [35,35]
[[5,4,4,4,3],[4,3,3,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,4,3,3],[4,3,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[6,5,5,4,3],[5,4,4,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,3,3],[4,3,2,2]] => ([(2,5),(3,4),(4,6),(5,6)],7) => [28,28,28,28,28,28,14,14,14,14,14,14]
[[6,5,4,4,3],[5,4,3,3]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[6,5,4,3,3],[5,4,3,2]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[2,2,2,2,2,1],[1,1,1,1]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [7,7,6]
[[3,3,3,3,3,1],[2,2,2,2,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => [35]
[[3,3,3,3,2,1],[2,2,2,2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [14,14,14,14,14]
[[4,4,4,4,3,1],[3,3,3,3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2,2,1],[2,2,2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [21,21,21,21,21,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,3,1],[3,3,3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[4,4,4,3,2,1],[3,3,3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,5,4,3,1],[4,4,4,3,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,2,1],[2,2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,3,1],[3,3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[4,4,3,3,2,1],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,4,4,3,1],[4,4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2,1],[3,3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,2,1],[2,1,1,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [35,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,3,1],[3,2,2,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[4,3,3,3,2,1],[3,2,2,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,4,4,3,1],[4,3,3,3,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,3,3,1],[4,3,2,2,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[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]
[[3,3,3,3,3,2],[2,2,2,2,2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[3,3,3,3,2,2],[2,2,2,2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [14,14,14,14,14]
[[4,4,4,4,3,2],[3,3,3,3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2,2,2],[2,2,2,1,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [21,21,21,21,21]
[[4,4,4,3,3,2],[3,3,3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,2,2],[3,3,3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,5,4,3,2],[4,4,4,3,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,2,2],[2,2,1,1,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [28,28,28]
[[4,4,3,3,3,2],[3,3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,2,2],[3,3,2,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,5,4,4,3,2],[4,4,3,3,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2,2],[3,3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,5,4,3,3,2],[4,4,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,2,2],[2,1,1,1,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => [35]
[[4,3,3,3,3,2],[3,2,2,2,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,2,2],[3,2,2,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
[[5,4,4,4,3,2],[4,3,3,3,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2,2],[3,2,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[5,4,4,3,3,2],[4,3,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,2,2],[3,2,1,1,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => [28,28,28,28,28,28]
[[5,4,3,3,3,2],[4,3,2,2,2]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[5,4,3,2,2,2],[4,3,2,1,1]] => ([(3,6),(4,5),(5,6)],7) => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
[[1,1,1,1,1,1,1],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [1]
[[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7]
[[2,2,2,2,2,1,1],[1,1,1,1,1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[3,3,3,3,3,2,1],[2,2,2,2,2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[2,2,2,2,1,1,1],[1,1,1,1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[3,3,3,3,2,2,1],[2,2,2,2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,3,2,1,1],[2,2,2,2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,4,3,2,1],[3,3,3,3,2,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,2,1,1,1,1],[1,1,1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [7,7,7,7,7]
[[3,3,3,2,2,2,1],[2,2,2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2,2,1,1],[2,2,2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,3,2,1],[3,3,3,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,3,2,1,1,1],[2,2,2,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,2,2,1],[3,3,3,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,4,3,2,1,1],[3,3,3,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,2,1,1,1,1,1],[1,1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [7,7,7]
[[3,3,2,2,2,2,1],[2,2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,2,1,1],[2,2,1,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,3,2,1],[3,3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,2,1,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,2,2,1],[3,3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,3,2,1,1],[3,3,2,2,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,3,2,1,1,1,1],[2,2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2,2,1],[3,3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,2,1,1],[3,3,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,4,3,2,1,1,1],[3,3,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[2,1,1,1,1,1,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7]
[[3,2,2,2,2,2,1],[2,1,1,1,1,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[3,2,2,2,2,1,1],[2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,3,2,1],[3,2,2,2,2,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,2,1,1,1],[2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,2,2,1],[3,2,2,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,3,2,1,1],[3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,2,1,1,1,1],[2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2,2,1],[3,2,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,2,1,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,3,2,1,1,1],[3,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[3,2,1,1,1,1,1],[2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => [7,7,7,7,7,7]
[[4,3,2,2,2,2,1],[3,2,1,1,1,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,2,1,1],[3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,2,1,1,1],[3,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
[[4,3,2,1,1,1,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7) => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
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.
Map
promotion cycle type
Description
The cycle type of promotion on the linear extensions of a poset.