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Identifier
Values
=>
Cc0028;cc-rep
[[1],[]]=>1 [[2],[]]=>1 [[1,1],[]]=>1 [[2,1],[1]]=>2 [[3],[]]=>1 [[2,1],[]]=>2 [[3,1],[1]]=>3 [[2,2],[1]]=>2 [[3,2],[2]]=>3 [[1,1,1],[]]=>1 [[2,2,1],[1,1]]=>3 [[2,1,1],[1]]=>3 [[3,2,1],[2,1]]=>6 [[4],[]]=>1 [[3,1],[]]=>3 [[4,1],[1]]=>4 [[2,2],[]]=>2 [[3,2],[1]]=>5 [[4,2],[2]]=>6 [[2,1,1],[]]=>3 [[3,2,1],[1,1]]=>8 [[3,1,1],[1]]=>6 [[4,2,1],[2,1]]=>12 [[3,3],[2]]=>3 [[4,3],[3]]=>4 [[2,2,1],[1]]=>5 [[3,3,1],[2,1]]=>8 [[3,2,1],[2]]=>8 [[4,3,1],[3,1]]=>12 [[2,2,2],[1,1]]=>3 [[3,3,2],[2,2]]=>6 [[3,2,2],[2,1]]=>8 [[4,3,2],[3,2]]=>12 [[1,1,1,1],[]]=>1 [[2,2,2,1],[1,1,1]]=>4 [[2,2,1,1],[1,1]]=>6 [[3,3,2,1],[2,2,1]]=>12 [[2,1,1,1],[1]]=>4 [[3,2,2,1],[2,1,1]]=>12 [[3,2,1,1],[2,1]]=>12 [[4,3,2,1],[3,2,1]]=>24 [[5],[]]=>1 [[4,1],[]]=>4 [[5,1],[1]]=>5 [[3,2],[]]=>5 [[4,2],[1]]=>9 [[5,2],[2]]=>10 [[3,1,1],[]]=>6 [[4,2,1],[1,1]]=>15 [[4,1,1],[1]]=>10 [[5,2,1],[2,1]]=>20 [[3,3],[1]]=>5 [[4,3],[2]]=>9 [[5,3],[3]]=>10 [[2,2,1],[]]=>5 [[3,3,1],[1,1]]=>10 [[3,2,1],[1]]=>16 [[4,3,1],[2,1]]=>25 [[4,2,1],[2]]=>20 [[5,3,1],[3,1]]=>30 [[3,2,2],[1,1]]=>11 [[4,3,2],[2,2]]=>20 [[4,2,2],[2,1]]=>20 [[5,3,2],[3,2]]=>30 [[2,1,1,1],[]]=>4 [[3,2,2,1],[1,1,1]]=>15 [[3,2,1,1],[1,1]]=>20 [[4,3,2,1],[2,2,1]]=>40 [[3,1,1,1],[1]]=>10 [[4,2,2,1],[2,1,1]]=>30 [[4,2,1,1],[2,1]]=>30 [[5,3,2,1],[3,2,1]]=>60 [[4,4],[3]]=>4 [[5,4],[4]]=>5 [[3,3,1],[2]]=>11 [[4,4,1],[3,1]]=>15 [[4,3,1],[3]]=>15 [[5,4,1],[4,1]]=>20 [[2,2,2],[1]]=>5 [[3,3,2],[2,1]]=>16 [[4,4,2],[3,2]]=>20 [[3,2,2],[2]]=>10 [[4,3,2],[3,1]]=>25 [[5,4,2],[4,2]]=>30 [[2,2,1,1],[1]]=>9 [[3,3,2,1],[2,1,1]]=>25 [[3,3,1,1],[2,1]]=>20 [[4,4,2,1],[3,2,1]]=>40 [[3,2,1,1],[2]]=>15 [[4,3,2,1],[3,1,1]]=>40 [[4,3,1,1],[3,1]]=>30 [[5,4,2,1],[4,2,1]]=>60 [[3,3,3],[2,2]]=>6 [[4,4,3],[3,3]]=>10 [[4,3,3],[3,2]]=>15 [[5,4,3],[4,3]]=>20 [[2,2,2,1],[1,1]]=>9 [[3,3,3,1],[2,2,1]]=>15 [[3,3,2,1],[2,2]]=>20 [[4,4,3,1],[3,3,1]]=>30 [[3,2,2,1],[2,1]]=>25 [[4,3,3,1],[3,2,1]]=>40 [[4,3,2,1],[3,2]]=>40 [[5,4,3,1],[4,3,1]]=>60 [[2,2,2,2],[1,1,1]]=>4 [[3,3,3,2],[2,2,2]]=>10 [[3,3,2,2],[2,2,1]]=>20 [[4,4,3,2],[3,3,2]]=>30 [[3,2,2,2],[2,1,1]]=>15 [[4,3,3,2],[3,2,2]]=>30 [[4,3,2,2],[3,2,1]]=>40 [[5,4,3,2],[4,3,2]]=>60 [[1,1,1,1,1],[]]=>1 [[2,2,2,2,1],[1,1,1,1]]=>5 [[2,2,2,1,1],[1,1,1]]=>10 [[3,3,3,2,1],[2,2,2,1]]=>20 [[2,2,1,1,1],[1,1]]=>10 [[3,3,2,2,1],[2,2,1,1]]=>30 [[3,3,2,1,1],[2,2,1]]=>30 [[4,4,3,2,1],[3,3,2,1]]=>60 [[2,1,1,1,1],[1]]=>5 [[3,2,2,2,1],[2,1,1,1]]=>20 [[3,2,2,1,1],[2,1,1]]=>30 [[4,3,3,2,1],[3,2,2,1]]=>60 [[3,2,1,1,1],[2,1]]=>20 [[4,3,2,2,1],[3,2,1,1]]=>60 [[4,3,2,1,1],[3,2,1]]=>60 [[5,4,3,2,1],[4,3,2,1]]=>120 [[6],[]]=>1 [[5,1],[]]=>5 [[6,1],[1]]=>6 [[4,2],[]]=>9 [[5,2],[1]]=>14 [[6,2],[2]]=>15 [[4,1,1],[]]=>10 [[5,2,1],[1,1]]=>24 [[5,1,1],[1]]=>15 [[6,2,1],[2,1]]=>30 [[3,3],[]]=>5 [[4,3],[1]]=>14 [[5,3],[2]]=>19 [[6,3],[3]]=>20 [[3,2,1],[]]=>16 [[4,3,1],[1,1]]=>30 [[4,2,1],[1]]=>35 [[5,3,1],[2,1]]=>54 [[5,2,1],[2]]=>40 [[6,3,1],[3,1]]=>60 [[4,2,2],[1,1]]=>26 [[5,3,2],[2,2]]=>45 [[5,2,2],[2,1]]=>40 [[6,3,2],[3,2]]=>60 [[3,1,1,1],[]]=>10 [[4,2,2,1],[1,1,1]]=>36 [[4,2,1,1],[1,1]]=>45 [[5,3,2,1],[2,2,1]]=>90 [[4,1,1,1],[1]]=>20 [[5,2,2,1],[2,1,1]]=>60 [[5,2,1,1],[2,1]]=>60 [[6,3,2,1],[3,2,1]]=>120 [[4,4],[2]]=>9 [[5,4],[3]]=>14 [[6,4],[4]]=>15 [[3,3,1],[1]]=>21 [[4,4,1],[2,1]]=>30 [[4,3,1],[2]]=>40 [[5,4,1],[3,1]]=>54 [[5,3,1],[3]]=>45 [[6,4,1],[4,1]]=>60 [[2,2,2],[]]=>5 [[3,3,2],[1,1]]=>21 [[4,4,2],[2,2]]=>30 [[3,2,2],[1]]=>21 [[4,3,2],[2,1]]=>61 [[5,4,2],[3,2]]=>75 [[4,2,2],[2]]=>30 [[5,3,2],[3,1]]=>75 [[6,4,2],[4,2]]=>90 [[2,2,1,1],[]]=>9 [[3,3,2,1],[1,1,1]]=>30 [[3,3,1,1],[1,1]]=>30 [[4,4,2,1],[2,2,1]]=>60 [[3,2,1,1],[1]]=>35 [[4,3,2,1],[2,1,1]]=>96 [[4,3,1,1],[2,1]]=>75 [[5,4,2,1],[3,2,1]]=>150 [[4,2,1,1],[2]]=>45 [[5,3,2,1],[3,1,1]]=>120 [[5,3,1,1],[3,1]]=>90 [[6,4,2,1],[4,2,1]]=>180 [[4,3,3],[2,2]]=>26 [[5,4,3],[3,3]]=>40 [[5,3,3],[3,2]]=>45 [[6,4,3],[4,3]]=>60 [[3,2,2,1],[1,1]]=>40 [[4,3,3,1],[2,2,1]]=>66 [[4,3,2,1],[2,2]]=>80 [[5,4,3,1],[3,3,1]]=>120 [[4,2,2,1],[2,1]]=>75 [[5,3,3,1],[3,2,1]]=>120 [[5,3,2,1],[3,2]]=>120 [[6,4,3,1],[4,3,1]]=>180 [[3,2,2,2],[1,1,1]]=>19 [[4,3,3,2],[2,2,2]]=>45 [[4,3,2,2],[2,2,1]]=>80 [[5,4,3,2],[3,3,2]]=>120 [[4,2,2,2],[2,1,1]]=>45 [[5,3,3,2],[3,2,2]]=>90 [[5,3,2,2],[3,2,1]]=>120 [[6,4,3,2],[4,3,2]]=>180 [[2,1,1,1,1],[]]=>5 [[3,2,2,2,1],[1,1,1,1]]=>24 [[3,2,2,1,1],[1,1,1]]=>45 [[4,3,3,2,1],[2,2,2,1]]=>90 [[3,2,1,1,1],[1,1]]=>40 [[4,3,2,2,1],[2,2,1,1]]=>120 [[4,3,2,1,1],[2,2,1]]=>120 [[5,4,3,2,1],[3,3,2,1]]=>240 [[3,1,1,1,1],[1]]=>15 [[4,2,2,2,1],[2,1,1,1]]=>60 [[4,2,2,1,1],[2,1,1]]=>90 [[5,3,3,2,1],[3,2,2,1]]=>180 [[4,2,1,1,1],[2,1]]=>60 [[5,3,2,2,1],[3,2,1,1]]=>180 [[5,3,2,1,1],[3,2,1]]=>180 [[6,4,3,2,1],[4,3,2,1]]=>360 [[5,5],[4]]=>5 [[6,5],[5]]=>6 [[4,4,1],[3]]=>19 [[5,5,1],[4,1]]=>24 [[5,4,1],[4]]=>24 [[6,5,1],[5,1]]=>30 [[3,3,2],[2]]=>21 [[4,4,2],[3,1]]=>40 [[5,5,2],[4,2]]=>45 [[4,3,2],[3]]=>30 [[5,4,2],[4,1]]=>54 [[6,5,2],[5,2]]=>60 [[3,3,1,1],[2]]=>26 [[4,4,2,1],[3,1,1]]=>66 [[4,4,1,1],[3,1]]=>45 [[5,5,2,1],[4,2,1]]=>90 [[4,3,1,1],[3]]=>36 [[5,4,2,1],[4,1,1]]=>90 [[5,4,1,1],[4,1]]=>60 [[6,5,2,1],[5,2,1]]=>120 [[3,3,3],[2,1]]=>16 [[4,4,3],[3,2]]=>35 [[5,5,3],[4,3]]=>40 [[4,3,3],[3,1]]=>30 [[5,4,3],[4,2]]=>54 [[6,5,3],[5,3]]=>60 [[2,2,2,1],[1]]=>14 [[3,3,3,1],[2,1,1]]=>30 [[3,3,2,1],[2,1]]=>61 [[4,4,3,1],[3,2,1]]=>96 [[4,4,2,1],[3,2]]=>80 [[5,5,3,1],[4,3,1]]=>120 [[3,2,2,1],[2]]=>30 [[4,3,3,1],[3,1,1]]=>60 [[4,3,2,1],[3,1]]=>96 [[5,4,3,1],[4,2,1]]=>150 [[5,4,2,1],[4,2]]=>120 [[6,5,3,1],[5,3,1]]=>180 [[3,3,2,2],[2,1,1]]=>40 [[4,4,3,2],[3,2,2]]=>75 [[4,4,2,2],[3,2,1]]=>80 [[5,5,3,2],[4,3,2]]=>120 [[4,3,2,2],[3,1,1]]=>66 [[5,4,3,2],[4,2,2]]=>120 [[5,4,2,2],[4,2,1]]=>120 [[6,5,3,2],[5,3,2]]=>180 [[2,2,1,1,1],[1]]=>14 [[3,3,2,2,1],[2,1,1,1]]=>54 [[3,3,2,1,1],[2,1,1]]=>75 [[4,4,3,2,1],[3,2,2,1]]=>150 [[3,3,1,1,1],[2,1]]=>40 [[4,4,2,2,1],[3,2,1,1]]=>120 [[4,4,2,1,1],[3,2,1]]=>120 [[5,5,3,2,1],[4,3,2,1]]=>240 [[3,2,1,1,1],[2]]=>24 [[4,3,2,2,1],[3,1,1,1]]=>90 [[4,3,2,1,1],[3,1,1]]=>120 [[5,4,3,2,1],[4,2,2,1]]=>240 [[4,3,1,1,1],[3,1]]=>60 [[5,4,2,2,1],[4,2,1,1]]=>180 [[5,4,2,1,1],[4,2,1]]=>180 [[6,5,3,2,1],[5,3,2,1]]=>360 [[4,4,4],[3,3]]=>10 [[5,5,4],[4,4]]=>15 [[5,4,4],[4,3]]=>24 [[6,5,4],[5,4]]=>30 [[3,3,3,1],[2,2]]=>26 [[4,4,4,1],[3,3,1]]=>36 [[4,4,3,1],[3,3]]=>45 [[5,5,4,1],[4,4,1]]=>60 [[4,3,3,1],[3,2]]=>66 [[5,4,4,1],[4,3,1]]=>90 [[5,4,3,1],[4,3]]=>90 [[6,5,4,1],[5,4,1]]=>120 [[2,2,2,2],[1,1]]=>9 [[3,3,3,2],[2,2,1]]=>35 [[4,4,4,2],[3,3,2]]=>45 [[3,3,2,2],[2,2]]=>30 [[4,4,3,2],[3,3,1]]=>75 [[5,5,4,2],[4,4,2]]=>90 [[3,2,2,2],[2,1]]=>30 [[4,3,3,2],[3,2,1]]=>96 [[5,4,4,2],[4,3,2]]=>120 [[4,3,2,2],[3,2]]=>60 [[5,4,3,2],[4,3,1]]=>150 [[6,5,4,2],[5,4,2]]=>180 [[2,2,2,1,1],[1,1]]=>19 [[3,3,3,2,1],[2,2,1,1]]=>54 [[3,3,3,1,1],[2,2,1]]=>45 [[4,4,4,2,1],[3,3,2,1]]=>90 [[3,3,2,1,1],[2,2]]=>45 [[4,4,3,2,1],[3,3,1,1]]=>120 [[4,4,3,1,1],[3,3,1]]=>90 [[5,5,4,2,1],[4,4,2,1]]=>180 [[3,2,2,1,1],[2,1]]=>54 [[4,3,3,2,1],[3,2,1,1]]=>150 [[4,3,3,1,1],[3,2,1]]=>120 [[5,4,4,2,1],[4,3,2,1]]=>240 [[4,3,2,1,1],[3,2]]=>90 [[5,4,3,2,1],[4,3,1,1]]=>240 [[5,4,3,1,1],[4,3,1]]=>180 [[6,5,4,2,1],[5,4,2,1]]=>360 [[3,3,3,3],[2,2,2]]=>10 [[4,4,4,3],[3,3,3]]=>20 [[4,4,3,3],[3,3,2]]=>45 [[5,5,4,3],[4,4,3]]=>60 [[4,3,3,3],[3,2,2]]=>36 [[5,4,4,3],[4,3,3]]=>60 [[5,4,3,3],[4,3,2]]=>90 [[6,5,4,3],[5,4,3]]=>120 [[2,2,2,2,1],[1,1,1]]=>14 [[3,3,3,3,1],[2,2,2,1]]=>24 [[3,3,3,2,1],[2,2,2]]=>40 [[4,4,4,3,1],[3,3,3,1]]=>60 [[3,3,2,2,1],[2,2,1]]=>75 [[4,4,3,3,1],[3,3,2,1]]=>120 [[4,4,3,2,1],[3,3,2]]=>120 [[5,5,4,3,1],[4,4,3,1]]=>180 [[3,2,2,2,1],[2,1,1]]=>54 [[4,3,3,3,1],[3,2,2,1]]=>90 [[4,3,3,2,1],[3,2,2]]=>120 [[5,4,4,3,1],[4,3,3,1]]=>180 [[4,3,2,2,1],[3,2,1]]=>150 [[5,4,3,3,1],[4,3,2,1]]=>240 [[5,4,3,2,1],[4,3,2]]=>240 [[6,5,4,3,1],[5,4,3,1]]=>360 [[2,2,2,2,2],[1,1,1,1]]=>5 [[3,3,3,3,2],[2,2,2,2]]=>15 [[3,3,3,2,2],[2,2,2,1]]=>40 [[4,4,4,3,2],[3,3,3,2]]=>60 [[3,3,2,2,2],[2,2,1,1]]=>45 [[4,4,3,3,2],[3,3,2,2]]=>90 [[4,4,3,2,2],[3,3,2,1]]=>120 [[5,5,4,3,2],[4,4,3,2]]=>180 [[3,2,2,2,2],[2,1,1,1]]=>24 [[4,3,3,3,2],[3,2,2,2]]=>60 [[4,3,3,2,2],[3,2,2,1]]=>120 [[5,4,4,3,2],[4,3,3,2]]=>180 [[4,3,2,2,2],[3,2,1,1]]=>90 [[5,4,3,3,2],[4,3,2,2]]=>180 [[5,4,3,2,2],[4,3,2,1]]=>240 [[6,5,4,3,2],[5,4,3,2]]=>360 [[1,1,1,1,1,1],[]]=>1 [[2,2,2,2,2,1],[1,1,1,1,1]]=>6 [[2,2,2,2,1,1],[1,1,1,1]]=>15 [[3,3,3,3,2,1],[2,2,2,2,1]]=>30 [[2,2,2,1,1,1],[1,1,1]]=>20 [[3,3,3,2,2,1],[2,2,2,1,1]]=>60 [[3,3,3,2,1,1],[2,2,2,1]]=>60 [[4,4,4,3,2,1],[3,3,3,2,1]]=>120 [[2,2,1,1,1,1],[1,1]]=>15 [[3,3,2,2,2,1],[2,2,1,1,1]]=>60 [[3,3,2,2,1,1],[2,2,1,1]]=>90 [[4,4,3,3,2,1],[3,3,2,2,1]]=>180 [[3,3,2,1,1,1],[2,2,1]]=>60 [[4,4,3,2,2,1],[3,3,2,1,1]]=>180 [[4,4,3,2,1,1],[3,3,2,1]]=>180 [[5,5,4,3,2,1],[4,4,3,2,1]]=>360 [[2,1,1,1,1,1],[1]]=>6 [[3,2,2,2,2,1],[2,1,1,1,1]]=>30 [[3,2,2,2,1,1],[2,1,1,1]]=>60 [[4,3,3,3,2,1],[3,2,2,2,1]]=>120 [[3,2,2,1,1,1],[2,1,1]]=>60 [[4,3,3,2,2,1],[3,2,2,1,1]]=>180 [[4,3,3,2,1,1],[3,2,2,1]]=>180 [[5,4,4,3,2,1],[4,3,3,2,1]]=>360 [[3,2,1,1,1,1],[2,1]]=>30 [[4,3,2,2,2,1],[3,2,1,1,1]]=>120 [[4,3,2,2,1,1],[3,2,1,1]]=>180 [[5,4,3,3,2,1],[4,3,2,2,1]]=>360 [[4,3,2,1,1,1],[3,2,1]]=>120 [[5,4,3,2,2,1],[4,3,2,1,1]]=>360 [[5,4,3,2,1,1],[4,3,2,1]]=>360 [[6,5,4,3,2,1],[5,4,3,2,1]]=>720 [[7],[]]=>1 [[6,1],[]]=>6 [[7,1],[1]]=>7 [[5,2],[]]=>14 [[6,2],[1]]=>20 [[7,2],[2]]=>21 [[5,1,1],[]]=>15 [[6,2,1],[1,1]]=>35 [[6,1,1],[1]]=>21 [[7,2,1],[2,1]]=>42 [[4,3],[]]=>14 [[5,3],[1]]=>28 [[6,3],[2]]=>34 [[7,3],[3]]=>35 [[4,2,1],[]]=>35 [[5,3,1],[1,1]]=>63 [[5,2,1],[1]]=>64 [[6,3,1],[2,1]]=>98 [[6,2,1],[2]]=>70 [[7,3,1],[3,1]]=>105 [[5,2,2],[1,1]]=>50 [[6,3,2],[2,2]]=>84 [[6,2,2],[2,1]]=>70 [[7,3,2],[3,2]]=>105 [[4,1,1,1],[]]=>20 [[5,2,2,1],[1,1,1]]=>70 [[5,2,1,1],[1,1]]=>84 [[6,3,2,1],[2,2,1]]=>168 [[5,1,1,1],[1]]=>35 [[6,2,2,1],[2,1,1]]=>105 [[6,2,1,1],[2,1]]=>105 [[7,3,2,1],[3,2,1]]=>210 [[4,4],[1]]=>14 [[5,4],[2]]=>28 [[6,4],[3]]=>34 [[7,4],[4]]=>35 [[3,3,1],[]]=>21 [[4,4,1],[1,1]]=>35 [[4,3,1],[1]]=>70 [[5,4,1],[2,1]]=>98 [[5,3,1],[2]]=>99 [[6,4,1],[3,1]]=>133 [[6,3,1],[3]]=>105 [[7,4,1],[4,1]]=>140 [[3,2,2],[]]=>21 [[4,3,2],[1,1]]=>77 [[5,4,2],[2,2]]=>105 [[4,2,2],[1]]=>56 [[5,3,2],[2,1]]=>155 [[6,4,2],[3,2]]=>189 [[5,2,2],[2]]=>70 [[6,3,2],[3,1]]=>175 [[7,4,2],[4,2]]=>210 [[3,2,1,1],[]]=>35 [[4,3,2,1],[1,1,1]]=>112 [[4,3,1,1],[1,1]]=>105 [[5,4,2,1],[2,2,1]]=>210 [[4,2,1,1],[1]]=>90 [[5,3,2,1],[2,1,1]]=>245 [[5,3,1,1],[2,1]]=>189 [[6,4,2,1],[3,2,1]]=>378 [[5,2,1,1],[2]]=>105 [[6,3,2,1],[3,1,1]]=>280 [[6,3,1,1],[3,1]]=>210 [[7,4,2,1],[4,2,1]]=>420 [[5,3,3],[2,2]]=>71 [[6,4,3],[3,3]]=>105 [[6,3,3],[3,2]]=>105 [[7,4,3],[4,3]]=>140 [[4,2,2,1],[1,1]]=>111 [[5,3,3,1],[2,2,1]]=>182 [[5,3,2,1],[2,2]]=>210 [[6,4,3,1],[3,3,1]]=>315 [[5,2,2,1],[2,1]]=>175 [[6,3,3,1],[3,2,1]]=>280 [[6,3,2,1],[3,2]]=>280 [[7,4,3,1],[4,3,1]]=>420 [[4,2,2,2],[1,1,1]]=>55 [[5,3,3,2],[2,2,2]]=>126 [[5,3,2,2],[2,2,1]]=>210 [[6,4,3,2],[3,3,2]]=>315 [[5,2,2,2],[2,1,1]]=>105 [[6,3,3,2],[3,2,2]]=>210 [[6,3,2,2],[3,2,1]]=>280 [[7,4,3,2],[4,3,2]]=>420 [[3,1,1,1,1],[]]=>15 [[4,2,2,2,1],[1,1,1,1]]=>70 [[4,2,2,1,1],[1,1,1]]=>126 [[5,3,3,2,1],[2,2,2,1]]=>252 [[4,2,1,1,1],[1,1]]=>105 [[5,3,2,2,1],[2,2,1,1]]=>315 [[5,3,2,1,1],[2,2,1]]=>315 [[6,4,3,2,1],[3,3,2,1]]=>630 [[4,1,1,1,1],[1]]=>35 [[5,2,2,2,1],[2,1,1,1]]=>140 [[5,2,2,1,1],[2,1,1]]=>210 [[6,3,3,2,1],[3,2,2,1]]=>420 [[5,2,1,1,1],[2,1]]=>140 [[6,3,2,2,1],[3,2,1,1]]=>420 [[6,3,2,1,1],[3,2,1]]=>420 [[7,4,3,2,1],[4,3,2,1]]=>840 [[5,5],[3]]=>14 [[6,5],[4]]=>20 [[7,5],[5]]=>21 [[4,4,1],[2]]=>49 [[5,5,1],[3,1]]=>63 [[5,4,1],[3]]=>78 [[6,5,1],[4,1]]=>98 [[6,4,1],[4]]=>84 [[7,5,1],[5,1]]=>105 [[3,3,2],[1]]=>42 [[4,4,2],[2,1]]=>91 [[5,5,2],[3,2]]=>105 [[4,3,2],[2]]=>91 [[5,4,2],[3,1]]=>169 [[6,5,2],[4,2]]=>189 [[5,3,2],[3]]=>105 [[6,4,2],[4,1]]=>189 [[7,5,2],[5,2]]=>210 [[3,3,1,1],[1]]=>56 [[4,4,2,1],[2,1,1]]=>147 [[4,4,1,1],[2,1]]=>105 [[5,5,2,1],[3,2,1]]=>210 [[4,3,1,1],[2]]=>111 [[5,4,2,1],[3,1,1]]=>280 [[5,4,1,1],[3,1]]=>189 [[6,5,2,1],[4,2,1]]=>378 [[5,3,1,1],[3]]=>126 [[6,4,2,1],[4,1,1]]=>315 [[6,4,1,1],[4,1]]=>210 [[7,5,2,1],[5,2,1]]=>420 [[3,3,3],[1,1]]=>21 [[4,4,3],[2,2]]=>56 [[5,5,3],[3,3]]=>70 [[4,3,3],[2,1]]=>77 [[5,4,3],[3,2]]=>155 [[6,5,3],[4,3]]=>175 [[5,3,3],[3,1]]=>105 [[6,4,3],[4,2]]=>189 [[7,5,3],[5,3]]=>210 [[2,2,2,1],[]]=>14 [[3,3,3,1],[1,1,1]]=>35 [[3,3,2,1],[1,1]]=>91 [[4,4,3,1],[2,2,1]]=>147 [[4,4,2,1],[2,2]]=>140 [[5,5,3,1],[3,3,1]]=>210 [[3,2,2,1],[1]]=>70 [[4,3,3,1],[2,1,1]]=>147 [[4,3,2,1],[2,1]]=>272 [[5,4,3,1],[3,2,1]]=>427 [[5,4,2,1],[3,2]]=>350 [[6,5,3,1],[4,3,1]]=>525 [[4,2,2,1],[2]]=>105 [[5,3,3,1],[3,1,1]]=>210 [[5,3,2,1],[3,1]]=>336 [[6,4,3,1],[4,2,1]]=>525 [[6,4,2,1],[4,2]]=>420 [[7,5,3,1],[5,3,1]]=>630 [[3,3,2,2],[1,1,1]]=>49 [[4,4,3,2],[2,2,2]]=>105 [[4,4,2,2],[2,2,1]]=>140 [[5,5,3,2],[3,3,2]]=>210 [[4,3,2,2],[2,1,1]]=>181 [[5,4,3,2],[3,2,2]]=>336 [[5,4,2,2],[3,2,1]]=>350 [[6,5,3,2],[4,3,2]]=>525 [[5,3,2,2],[3,1,1]]=>231 [[6,4,3,2],[4,2,2]]=>420 [[6,4,2,2],[4,2,1]]=>420 [[7,5,3,2],[5,3,2]]=>630 [[2,2,1,1,1],[]]=>14 [[3,3,2,2,1],[1,1,1,1]]=>63 [[3,3,2,1,1],[1,1,1]]=>105 [[4,4,3,2,1],[2,2,2,1]]=>210 [[3,3,1,1,1],[1,1]]=>70 [[4,4,2,2,1],[2,2,1,1]]=>210 [[4,4,2,1,1],[2,2,1]]=>210 [[5,5,3,2,1],[3,3,2,1]]=>420 [[3,2,1,1,1],[1]]=>64 [[4,3,2,2,1],[2,1,1,1]]=>245 [[4,3,2,1,1],[2,1,1]]=>336 [[5,4,3,2,1],[3,2,2,1]]=>672 [[4,3,1,1,1],[2,1]]=>175 [[5,4,2,2,1],[3,2,1,1]]=>525 [[5,4,2,1,1],[3,2,1]]=>525 [[6,5,3,2,1],[4,3,2,1]]=>1050 [[4,2,1,1,1],[2]]=>84 [[5,3,2,2,1],[3,1,1,1]]=>315 [[5,3,2,1,1],[3,1,1]]=>420 [[6,4,3,2,1],[4,2,2,1]]=>840 [[5,3,1,1,1],[3,1]]=>210 [[6,4,2,2,1],[4,2,1,1]]=>630 [[6,4,2,1,1],[4,2,1]]=>630 [[7,5,3,2,1],[5,3,2,1]]=>1260 [[5,4,4],[3,3]]=>50 [[6,5,4],[4,4]]=>70 [[6,4,4],[4,3]]=>84 [[7,5,4],[5,4]]=>105 [[4,3,3,1],[2,2]]=>132 [[5,4,4,1],[3,3,1]]=>182 [[5,4,3,1],[3,3]]=>210 [[6,5,4,1],[4,4,1]]=>280 [[5,3,3,1],[3,2]]=>231 [[6,4,4,1],[4,3,1]]=>315 [[6,4,3,1],[4,3]]=>315 [[7,5,4,1],[5,4,1]]=>420 [[3,2,2,2],[1,1]]=>49 [[4,3,3,2],[2,2,1]]=>181 [[5,4,4,2],[3,3,2]]=>231 [[4,3,2,2],[2,2]]=>140 [[5,4,3,2],[3,3,1]]=>350 [[6,5,4,2],[4,4,2]]=>420 [[4,2,2,2],[2,1]]=>105 [[5,3,3,2],[3,2,1]]=>336 [[6,4,4,2],[4,3,2]]=>420 [[5,3,2,2],[3,2]]=>210 [[6,4,3,2],[4,3,1]]=>525 [[7,5,4,2],[5,4,2]]=>630 [[3,2,2,1,1],[1,1]]=>99 [[4,3,3,2,1],[2,2,1,1]]=>280 [[4,3,3,1,1],[2,2,1]]=>231 [[5,4,4,2,1],[3,3,2,1]]=>462 [[4,3,2,1,1],[2,2]]=>210 [[5,4,3,2,1],[3,3,1,1]]=>560 [[5,4,3,1,1],[3,3,1]]=>420 [[6,5,4,2,1],[4,4,2,1]]=>840 [[4,2,2,1,1],[2,1]]=>189 [[5,3,3,2,1],[3,2,1,1]]=>525 [[5,3,3,1,1],[3,2,1]]=>420 [[6,4,4,2,1],[4,3,2,1]]=>840 [[5,3,2,1,1],[3,2]]=>315 [[6,4,3,2,1],[4,3,1,1]]=>840 [[6,4,3,1,1],[4,3,1]]=>630 [[7,5,4,2,1],[5,4,2,1]]=>1260 [[4,3,3,3],[2,2,2]]=>55 [[5,4,4,3],[3,3,3]]=>105 [[5,4,3,3],[3,3,2]]=>210 [[6,5,4,3],[4,4,3]]=>280 [[5,3,3,3],[3,2,2]]=>126 [[6,4,4,3],[4,3,3]]=>210 [[6,4,3,3],[4,3,2]]=>315 [[7,5,4,3],[5,4,3]]=>420 [[3,2,2,2,1],[1,1,1]]=>78 [[4,3,3,3,1],[2,2,2,1]]=>133 [[4,3,3,2,1],[2,2,2]]=>210 [[5,4,4,3,1],[3,3,3,1]]=>315 [[4,3,2,2,1],[2,2,1]]=>350 [[5,4,3,3,1],[3,3,2,1]]=>560 [[5,4,3,2,1],[3,3,2]]=>560 [[6,5,4,3,1],[4,4,3,1]]=>840 [[4,2,2,2,1],[2,1,1]]=>189 [[5,3,3,3,1],[3,2,2,1]]=>315 [[5,3,3,2,1],[3,2,2]]=>420 [[6,4,4,3,1],[4,3,3,1]]=>630 [[5,3,2,2,1],[3,2,1]]=>525 [[6,4,3,3,1],[4,3,2,1]]=>840 [[6,4,3,2,1],[4,3,2]]=>840 [[7,5,4,3,1],[5,4,3,1]]=>1260 [[3,2,2,2,2],[1,1,1,1]]=>29 [[4,3,3,3,2],[2,2,2,2]]=>84 [[4,3,3,2,2],[2,2,2,1]]=>210 [[5,4,4,3,2],[3,3,3,2]]=>315 [[4,3,2,2,2],[2,2,1,1]]=>210 [[5,4,3,3,2],[3,3,2,2]]=>420 [[5,4,3,2,2],[3,3,2,1]]=>560 [[6,5,4,3,2],[4,4,3,2]]=>840 [[4,2,2,2,2],[2,1,1,1]]=>84 [[5,3,3,3,2],[3,2,2,2]]=>210 [[5,3,3,2,2],[3,2,2,1]]=>420 [[6,4,4,3,2],[4,3,3,2]]=>630 [[5,3,2,2,2],[3,2,1,1]]=>315 [[6,4,3,3,2],[4,3,2,2]]=>630 [[6,4,3,2,2],[4,3,2,1]]=>840 [[7,5,4,3,2],[5,4,3,2]]=>1260 [[2,1,1,1,1,1],[]]=>6 [[3,2,2,2,2,1],[1,1,1,1,1]]=>35 [[3,2,2,2,1,1],[1,1,1,1]]=>84 [[4,3,3,3,2,1],[2,2,2,2,1]]=>168 [[3,2,2,1,1,1],[1,1,1]]=>105 [[4,3,3,2,2,1],[2,2,2,1,1]]=>315 [[4,3,3,2,1,1],[2,2,2,1]]=>315 [[5,4,4,3,2,1],[3,3,3,2,1]]=>630 [[3,2,1,1,1,1],[1,1]]=>70 [[4,3,2,2,2,1],[2,2,1,1,1]]=>280 [[4,3,2,2,1,1],[2,2,1,1]]=>420 [[5,4,3,3,2,1],[3,3,2,2,1]]=>840 [[4,3,2,1,1,1],[2,2,1]]=>280 [[5,4,3,2,2,1],[3,3,2,1,1]]=>840 [[5,4,3,2,1,1],[3,3,2,1]]=>840 [[6,5,4,3,2,1],[4,4,3,2,1]]=>1680 [[3,1,1,1,1,1],[1]]=>21 [[4,2,2,2,2,1],[2,1,1,1,1]]=>105 [[4,2,2,2,1,1],[2,1,1,1]]=>210 [[5,3,3,3,2,1],[3,2,2,2,1]]=>420 [[4,2,2,1,1,1],[2,1,1]]=>210 [[5,3,3,2,2,1],[3,2,2,1,1]]=>630 [[5,3,3,2,1,1],[3,2,2,1]]=>630 [[6,4,4,3,2,1],[4,3,3,2,1]]=>1260 [[4,2,1,1,1,1],[2,1]]=>105 [[5,3,2,2,2,1],[3,2,1,1,1]]=>420 [[5,3,2,2,1,1],[3,2,1,1]]=>630 [[6,4,3,3,2,1],[4,3,2,2,1]]=>1260 [[5,3,2,1,1,1],[3,2,1]]=>420 [[6,4,3,2,2,1],[4,3,2,1,1]]=>1260 [[6,4,3,2,1,1],[4,3,2,1]]=>1260 [[7,5,4,3,2,1],[5,4,3,2,1]]=>2520 [[6,6],[5]]=>6 [[7,6],[6]]=>7 [[5,5,1],[4]]=>29 [[6,6,1],[5,1]]=>35 [[6,5,1],[5]]=>35 [[7,6,1],[6,1]]=>42 [[4,4,2],[3]]=>49 [[5,5,2],[4,1]]=>78 [[6,6,2],[5,2]]=>84 [[5,4,2],[4]]=>63 [[6,5,2],[5,1]]=>98 [[7,6,2],[6,2]]=>105 [[4,4,1,1],[3]]=>55 [[5,5,2,1],[4,1,1]]=>133 [[5,5,1,1],[4,1]]=>84 [[6,6,2,1],[5,2,1]]=>168 [[5,4,1,1],[4]]=>70 [[6,5,2,1],[5,1,1]]=>168 [[6,5,1,1],[5,1]]=>105 [[7,6,2,1],[6,2,1]]=>210 [[3,3,3],[2]]=>21 [[4,4,3],[3,1]]=>70 [[5,5,3],[4,2]]=>99 [[6,6,3],[5,3]]=>105 [[4,3,3],[3]]=>35 [[5,4,3],[4,1]]=>98 [[6,5,3],[5,2]]=>133 [[7,6,3],[6,3]]=>140 [[3,3,2,1],[2]]=>77 [[4,4,3,1],[3,1,1]]=>147 [[4,4,2,1],[3,1]]=>181 [[5,5,3,1],[4,2,1]]=>280 [[5,5,2,1],[4,2]]=>210 [[6,6,3,1],[5,3,1]]=>315 [[4,3,2,1],[3]]=>112 [[5,4,3,1],[4,1,1]]=>210 [[5,4,2,1],[4,1]]=>245 [[6,5,3,1],[5,2,1]]=>378 [[6,5,2,1],[5,2]]=>280 [[7,6,3,1],[6,3,1]]=>420 [[4,4,2,2],[3,1,1]]=>132 [[5,5,3,2],[4,2,2]]=>231 [[5,5,2,2],[4,2,1]]=>210 [[6,6,3,2],[5,3,2]]=>315 [[5,4,2,2],[4,1,1]]=>182 [[6,5,3,2],[5,2,2]]=>315 [[6,5,2,2],[5,2,1]]=>280 [[7,6,3,2],[6,3,2]]=>420 [[3,3,1,1,1],[2]]=>50 [[4,4,2,2,1],[3,1,1,1]]=>182 [[4,4,2,1,1],[3,1,1]]=>231 [[5,5,3,2,1],[4,2,2,1]]=>462 [[4,4,1,1,1],[3,1]]=>105 [[5,5,2,2,1],[4,2,1,1]]=>315 [[5,5,2,1,1],[4,2,1]]=>315 [[6,6,3,2,1],[5,3,2,1]]=>630 [[4,3,1,1,1],[3]]=>70 [[5,4,2,2,1],[4,1,1,1]]=>252 [[5,4,2,1,1],[4,1,1]]=>315 [[6,5,3,2,1],[5,2,2,1]]=>630 [[5,4,1,1,1],[4,1]]=>140 [[6,5,2,2,1],[5,2,1,1]]=>420 [[6,5,2,1,1],[5,2,1]]=>420 [[7,6,3,2,1],[6,3,2,1]]=>840 [[4,4,4],[3,2]]=>35 [[5,5,4],[4,3]]=>64 [[6,6,4],[5,4]]=>70 [[5,4,4],[4,2]]=>63 [[6,5,4],[5,3]]=>98 [[7,6,4],[6,4]]=>105 [[3,3,3,1],[2,1]]=>77 [[4,4,4,1],[3,2,1]]=>112 [[4,4,3,1],[3,2]]=>181 [[5,5,4,1],[4,3,1]]=>245 [[5,5,3,1],[4,3]]=>210 [[6,6,4,1],[5,4,1]]=>280 [[4,3,3,1],[3,1]]=>147 [[5,4,4,1],[4,2,1]]=>210 [[5,4,3,1],[4,2]]=>280 [[6,5,4,1],[5,3,1]]=>378 [[6,5,3,1],[5,3]]=>315 [[7,6,4,1],[6,4,1]]=>420 [[2,2,2,2],[1]]=>14 [[3,3,3,2],[2,1,1]]=>70 [[4,4,4,2],[3,2,2]]=>105 [[3,3,2,2],[2,1]]=>91 [[4,4,3,2],[3,2,1]]=>272 [[5,5,4,2],[4,3,2]]=>336 [[4,4,2,2],[3,2]]=>140 [[5,5,3,2],[4,3,1]]=>350 [[6,6,4,2],[5,4,2]]=>420 [[3,2,2,2],[2]]=>35 [[4,3,3,2],[3,1,1]]=>147 [[5,4,4,2],[4,2,2]]=>210 [[4,3,2,2],[3,1]]=>147 [[5,4,3,2],[4,2,1]]=>427 [[6,5,4,2],[5,3,2]]=>525 [[5,4,2,2],[4,2]]=>210 [[6,5,3,2],[5,3,1]]=>525 [[7,6,4,2],[6,4,2]]=>630 [[2,2,2,1,1],[1]]=>28 [[3,3,3,2,1],[2,1,1,1]]=>98 [[3,3,3,1,1],[2,1,1]]=>105 [[4,4,4,2,1],[3,2,2,1]]=>210 [[3,3,2,1,1],[2,1]]=>155 [[4,4,3,2,1],[3,2,1,1]]=>427 [[4,4,3,1,1],[3,2,1]]=>336 [[5,5,4,2,1],[4,3,2,1]]=>672 [[4,4,2,1,1],[3,2]]=>210 [[5,5,3,2,1],[4,3,1,1]]=>560 [[5,5,3,1,1],[4,3,1]]=>420 [[6,6,4,2,1],[5,4,2,1]]=>840 [[3,2,2,1,1],[2]]=>63 [[4,3,3,2,1],[3,1,1,1]]=>210 [[4,3,3,1,1],[3,1,1]]=>210 [[5,4,4,2,1],[4,2,2,1]]=>420 [[4,3,2,1,1],[3,1]]=>245 [[5,4,3,2,1],[4,2,1,1]]=>672 [[5,4,3,1,1],[4,2,1]]=>525 [[6,5,4,2,1],[5,3,2,1]]=>1050 [[5,4,2,1,1],[4,2]]=>315 [[6,5,3,2,1],[5,3,1,1]]=>840 [[6,5,3,1,1],[5,3,1]]=>630 [[7,6,4,2,1],[6,4,2,1]]=>1260 [[4,4,3,3],[3,2,2]]=>111 [[5,5,4,3],[4,3,3]]=>175 [[5,5,3,3],[4,3,2]]=>210 [[6,6,4,3],[5,4,3]]=>280 [[5,4,3,3],[4,2,2]]=>182 [[6,5,4,3],[5,3,3]]=>280 [[6,5,3,3],[5,3,2]]=>315 [[7,6,4,3],[6,4,3]]=>420 [[3,3,2,2,1],[2,1,1]]=>169 [[4,4,3,3,1],[3,2,2,1]]=>280 [[4,4,3,2,1],[3,2,2]]=>350 [[5,5,4,3,1],[4,3,3,1]]=>525 [[4,4,2,2,1],[3,2,1]]=>350 [[5,5,3,3,1],[4,3,2,1]]=>560 [[5,5,3,2,1],[4,3,2]]=>560 [[6,6,4,3,1],[5,4,3,1]]=>840 [[4,3,2,2,1],[3,1,1]]=>280 [[5,4,3,3,1],[4,2,2,1]]=>462 [[5,4,3,2,1],[4,2,2]]=>560 [[6,5,4,3,1],[5,3,3,1]]=>840 [[5,4,2,2,1],[4,2,1]]=>525 [[6,5,3,3,1],[5,3,2,1]]=>840 [[6,5,3,2,1],[5,3,2]]=>840 [[7,6,4,3,1],[6,4,3,1]]=>1260 [[3,3,2,2,2],[2,1,1,1]]=>78 [[4,4,3,3,2],[3,2,2,2]]=>189 [[4,4,3,2,2],[3,2,2,1]]=>350 [[5,5,4,3,2],[4,3,3,2]]=>525 [[4,4,2,2,2],[3,2,1,1]]=>210 [[5,5,3,3,2],[4,3,2,2]]=>420 [[5,5,3,2,2],[4,3,2,1]]=>560 [[6,6,4,3,2],[5,4,3,2]]=>840 [[4,3,2,2,2],[3,1,1,1]]=>133 [[5,4,3,3,2],[4,2,2,2]]=>315 [[5,4,3,2,2],[4,2,2,1]]=>560 [[6,5,4,3,2],[5,3,3,2]]=>840 [[5,4,2,2,2],[4,2,1,1]]=>315 [[6,5,3,3,2],[5,3,2,2]]=>630 [[6,5,3,2,2],[5,3,2,1]]=>840 [[7,6,4,3,2],[6,4,3,2]]=>1260 [[2,2,1,1,1,1],[1]]=>20 [[3,3,2,2,2,1],[2,1,1,1,1]]=>98 [[3,3,2,2,1,1],[2,1,1,1]]=>189 [[4,4,3,3,2,1],[3,2,2,2,1]]=>378 [[3,3,2,1,1,1],[2,1,1]]=>175 [[4,4,3,2,2,1],[3,2,2,1,1]]=>525 [[4,4,3,2,1,1],[3,2,2,1]]=>525 [[5,5,4,3,2,1],[4,3,3,2,1]]=>1050 [[3,3,1,1,1,1],[2,1]]=>70 [[4,4,2,2,2,1],[3,2,1,1,1]]=>280 [[4,4,2,2,1,1],[3,2,1,1]]=>420 [[5,5,3,3,2,1],[4,3,2,2,1]]=>840 [[4,4,2,1,1,1],[3,2,1]]=>280 [[5,5,3,2,2,1],[4,3,2,1,1]]=>840 [[5,5,3,2,1,1],[4,3,2,1]]=>840 [[6,6,4,3,2,1],[5,4,3,2,1]]=>1680 [[3,2,1,1,1,1],[2]]=>35 [[4,3,2,2,2,1],[3,1,1,1,1]]=>168 [[4,3,2,2,1,1],[3,1,1,1]]=>315 [[5,4,3,3,2,1],[4,2,2,2,1]]=>630 [[4,3,2,1,1,1],[3,1,1]]=>280 [[5,4,3,2,2,1],[4,2,2,1,1]]=>840 [[5,4,3,2,1,1],[4,2,2,1]]=>840 [[6,5,4,3,2,1],[5,3,3,2,1]]=>1680 [[4,3,1,1,1,1],[3,1]]=>105 [[5,4,2,2,2,1],[4,2,1,1,1]]=>420 [[5,4,2,2,1,1],[4,2,1,1]]=>630 [[6,5,3,3,2,1],[5,3,2,2,1]]=>1260 [[5,4,2,1,1,1],[4,2,1]]=>420 [[6,5,3,2,2,1],[5,3,2,1,1]]=>1260 [[6,5,3,2,1,1],[5,3,2,1]]=>1260 [[7,6,4,3,2,1],[6,4,3,2,1]]=>2520 [[5,5,5],[4,4]]=>15 [[6,6,5],[5,5]]=>21 [[6,5,5],[5,4]]=>35 [[7,6,5],[6,5]]=>42 [[4,4,4,1],[3,3]]=>55 [[5,5,5,1],[4,4,1]]=>70 [[5,5,4,1],[4,4]]=>84 [[6,6,5,1],[5,5,1]]=>105 [[5,4,4,1],[4,3]]=>133 [[6,5,5,1],[5,4,1]]=>168 [[6,5,4,1],[5,4]]=>168 [[7,6,5,1],[6,5,1]]=>210 [[3,3,3,2],[2,2]]=>56 [[4,4,4,2],[3,3,1]]=>111 [[5,5,5,2],[4,4,2]]=>126 [[4,4,3,2],[3,3]]=>105 [[5,5,4,2],[4,4,1]]=>189 [[6,6,5,2],[5,5,2]]=>210 [[4,3,3,2],[3,2]]=>147 [[5,4,4,2],[4,3,1]]=>280 [[6,5,5,2],[5,4,2]]=>315 [[5,4,3,2],[4,3]]=>210 [[6,5,4,2],[5,4,1]]=>378 [[7,6,5,2],[6,5,2]]=>420 [[3,3,3,1,1],[2,2]]=>71 [[4,4,4,2,1],[3,3,1,1]]=>182 [[4,4,4,1,1],[3,3,1]]=>126 [[5,5,5,2,1],[4,4,2,1]]=>252 [[4,4,3,1,1],[3,3]]=>126 [[5,5,4,2,1],[4,4,1,1]]=>315 [[5,5,4,1,1],[4,4,1]]=>210 [[6,6,5,2,1],[5,5,2,1]]=>420 [[4,3,3,1,1],[3,2]]=>182 [[5,4,4,2,1],[4,3,1,1]]=>462 [[5,4,4,1,1],[4,3,1]]=>315 [[6,5,5,2,1],[5,4,2,1]]=>630 [[5,4,3,1,1],[4,3]]=>252 [[6,5,4,2,1],[5,4,1,1]]=>630 [[6,5,4,1,1],[5,4,1]]=>420 [[7,6,5,2,1],[6,5,2,1]]=>840 [[3,3,3,3],[2,2,1]]=>35 [[4,4,4,3],[3,3,2]]=>90 [[5,5,5,3],[4,4,3]]=>105 [[4,4,3,3],[3,3,1]]=>105 [[5,5,4,3],[4,4,2]]=>189 [[6,6,5,3],[5,5,3]]=>210 [[4,3,3,3],[3,2,1]]=>112 [[5,4,4,3],[4,3,2]]=>245 [[6,5,5,3],[5,4,3]]=>280 [[5,4,3,3],[4,3,1]]=>210 [[6,5,4,3],[5,4,2]]=>378 [[7,6,5,3],[6,5,3]]=>420 [[2,2,2,2,1],[1,1]]=>28 [[3,3,3,3,1],[2,2,1,1]]=>63 [[3,3,3,2,1],[2,2,1]]=>155 [[4,4,4,3,1],[3,3,2,1]]=>245 [[4,4,4,2,1],[3,3,2]]=>210 [[5,5,5,3,1],[4,4,3,1]]=>315 [[3,3,2,2,1],[2,2]]=>105 [[4,4,3,3,1],[3,3,1,1]]=>210 [[4,4,3,2,1],[3,3,1]]=>336 [[5,5,4,3,1],[4,4,2,1]]=>525 [[5,5,4,2,1],[4,4,2]]=>420 [[6,6,5,3,1],[5,5,3,1]]=>630 [[3,2,2,2,1],[2,1]]=>98 [[4,3,3,3,1],[3,2,1,1]]=>210 [[4,3,3,2,1],[3,2,1]]=>427 [[5,4,4,3,1],[4,3,2,1]]=>672 [[5,4,4,2,1],[4,3,2]]=>560 [[6,5,5,3,1],[5,4,3,1]]=>840 [[4,3,2,2,1],[3,2]]=>210 [[5,4,3,3,1],[4,3,1,1]]=>420 [[5,4,3,2,1],[4,3,1]]=>672 [[6,5,4,3,1],[5,4,2,1]]=>1050 [[6,5,4,2,1],[5,4,2]]=>840 [[7,6,5,3,1],[6,5,3,1]]=>1260 [[3,3,3,2,2],[2,2,1,1]]=>99 [[4,4,4,3,2],[3,3,2,2]]=>189 [[4,4,4,2,2],[3,3,2,1]]=>210 [[5,5,5,3,2],[4,4,3,2]]=>315 [[4,4,3,2,2],[3,3,1,1]]=>231 [[5,5,4,3,2],[4,4,2,2]]=>420 [[5,5,4,2,2],[4,4,2,1]]=>420 [[6,6,5,3,2],[5,5,3,2]]=>630 [[4,3,3,2,2],[3,2,1,1]]=>280 [[5,4,4,3,2],[4,3,2,2]]=>525 [[5,4,4,2,2],[4,3,2,1]]=>560 [[6,5,5,3,2],[5,4,3,2]]=>840 [[5,4,3,2,2],[4,3,1,1]]=>462 [[6,5,4,3,2],[5,4,2,2]]=>840 [[6,5,4,2,2],[5,4,2,1]]=>840 [[7,6,5,3,2],[6,5,3,2]]=>1260 [[2,2,2,1,1,1],[1,1]]=>34 [[3,3,3,2,2,1],[2,2,1,1,1]]=>133 [[3,3,3,2,1,1],[2,2,1,1]]=>189 [[4,4,4,3,2,1],[3,3,2,2,1]]=>378 [[3,3,3,1,1,1],[2,2,1]]=>105 [[4,4,4,2,2,1],[3,3,2,1,1]]=>315 [[4,4,4,2,1,1],[3,3,2,1]]=>315 [[5,5,5,3,2,1],[4,4,3,2,1]]=>630 [[3,3,2,1,1,1],[2,2]]=>84 [[4,4,3,2,2,1],[3,3,1,1,1]]=>315 [[4,4,3,2,1,1],[3,3,1,1]]=>420 [[5,5,4,3,2,1],[4,4,2,2,1]]=>840 [[4,4,3,1,1,1],[3,3,1]]=>210 [[5,5,4,2,2,1],[4,4,2,1,1]]=>630 [[5,5,4,2,1,1],[4,4,2,1]]=>630 [[6,6,5,3,2,1],[5,5,3,2,1]]=>1260 [[3,2,2,1,1,1],[2,1]]=>98 [[4,3,3,2,2,1],[3,2,1,1,1]]=>378 [[4,3,3,2,1,1],[3,2,1,1]]=>525 [[5,4,4,3,2,1],[4,3,2,2,1]]=>1050 [[4,3,3,1,1,1],[3,2,1]]=>280 [[5,4,4,2,2,1],[4,3,2,1,1]]=>840 [[5,4,4,2,1,1],[4,3,2,1]]=>840 [[6,5,5,3,2,1],[5,4,3,2,1]]=>1680 [[4,3,2,1,1,1],[3,2]]=>168 [[5,4,3,2,2,1],[4,3,1,1,1]]=>630 [[5,4,3,2,1,1],[4,3,1,1]]=>840 [[6,5,4,3,2,1],[5,4,2,2,1]]=>1680 [[5,4,3,1,1,1],[4,3,1]]=>420 [[6,5,4,2,2,1],[5,4,2,1,1]]=>1260 [[6,5,4,2,1,1],[5,4,2,1]]=>1260 [[7,6,5,3,2,1],[6,5,3,2,1]]=>2520 [[4,4,4,4],[3,3,3]]=>20 [[5,5,5,4],[4,4,4]]=>35 [[5,5,4,4],[4,4,3]]=>84 [[6,6,5,4],[5,5,4]]=>105 [[5,4,4,4],[4,3,3]]=>70 [[6,5,5,4],[5,4,4]]=>105 [[6,5,4,4],[5,4,3]]=>168 [[7,6,5,4],[6,5,4]]=>210 [[3,3,3,3,1],[2,2,2]]=>50 [[4,4,4,4,1],[3,3,3,1]]=>70 [[4,4,4,3,1],[3,3,3]]=>105 [[5,5,5,4,1],[4,4,4,1]]=>140 [[4,4,3,3,1],[3,3,2]]=>231 [[5,5,4,4,1],[4,4,3,1]]=>315 [[5,5,4,3,1],[4,4,3]]=>315 [[6,6,5,4,1],[5,5,4,1]]=>420 [[4,3,3,3,1],[3,2,2]]=>182 [[5,4,4,4,1],[4,3,3,1]]=>252 [[5,4,4,3,1],[4,3,3]]=>315 [[6,5,5,4,1],[5,4,4,1]]=>420 [[5,4,3,3,1],[4,3,2]]=>462 [[6,5,4,4,1],[5,4,3,1]]=>630 [[6,5,4,3,1],[5,4,3]]=>630 [[7,6,5,4,1],[6,5,4,1]]=>840 [[2,2,2,2,2],[1,1,1]]=>14 [[3,3,3,3,2],[2,2,2,1]]=>64 [[4,4,4,4,2],[3,3,3,2]]=>84 [[3,3,3,2,2],[2,2,2]]=>70 [[4,4,4,3,2],[3,3,3,1]]=>175 [[5,5,5,4,2],[4,4,4,2]]=>210 [[3,3,2,2,2],[2,2,1]]=>105 [[4,4,3,3,2],[3,3,2,1]]=>336 [[5,5,4,4,2],[4,4,3,2]]=>420 [[4,4,3,2,2],[3,3,2]]=>210 [[5,5,4,3,2],[4,4,3,1]]=>525 [[6,6,5,4,2],[5,5,4,2]]=>630 [[3,2,2,2,2],[2,1,1]]=>63 [[4,3,3,3,2],[3,2,2,1]]=>245 [[5,4,4,4,2],[4,3,3,2]]=>315 [[4,3,3,2,2],[3,2,2]]=>210 [[5,4,4,3,2],[4,3,3,1]]=>525 [[6,5,5,4,2],[5,4,4,2]]=>630 [[4,3,2,2,2],[3,2,1]]=>210 [[5,4,3,3,2],[4,3,2,1]]=>672 [[6,5,4,4,2],[5,4,3,2]]=>840 [[5,4,3,2,2],[4,3,2]]=>420 [[6,5,4,3,2],[5,4,3,1]]=>1050 [[7,6,5,4,2],[6,5,4,2]]=>1260 [[2,2,2,2,1,1],[1,1,1]]=>34 [[3,3,3,3,2,1],[2,2,2,1,1]]=>98 [[3,3,3,3,1,1],[2,2,2,1]]=>84 [[4,4,4,4,2,1],[3,3,3,2,1]]=>168 [[3,3,3,2,1,1],[2,2,2]]=>105 [[4,4,4,3,2,1],[3,3,3,1,1]]=>280 [[4,4,4,3,1,1],[3,3,3,1]]=>210 [[5,5,5,4,2,1],[4,4,4,2,1]]=>420 [[3,3,2,2,1,1],[2,2,1]]=>189 [[4,4,3,3,2,1],[3,3,2,1,1]]=>525 [[4,4,3,3,1,1],[3,3,2,1]]=>420 [[5,5,4,4,2,1],[4,4,3,2,1]]=>840 [[4,4,3,2,1,1],[3,3,2]]=>315 [[5,5,4,3,2,1],[4,4,3,1,1]]=>840 [[5,5,4,3,1,1],[4,4,3,1]]=>630 [[6,6,5,4,2,1],[5,5,4,2,1]]=>1260 [[3,2,2,2,1,1],[2,1,1]]=>133 [[4,3,3,3,2,1],[3,2,2,1,1]]=>378 [[4,3,3,3,1,1],[3,2,2,1]]=>315 [[5,4,4,4,2,1],[4,3,3,2,1]]=>630 [[4,3,3,2,1,1],[3,2,2]]=>315 [[5,4,4,3,2,1],[4,3,3,1,1]]=>840 [[5,4,4,3,1,1],[4,3,3,1]]=>630 [[6,5,5,4,2,1],[5,4,4,2,1]]=>1260 [[4,3,2,2,1,1],[3,2,1]]=>378 [[5,4,3,3,2,1],[4,3,2,1,1]]=>1050 [[5,4,3,3,1,1],[4,3,2,1]]=>840 [[6,5,4,4,2,1],[5,4,3,2,1]]=>1680 [[5,4,3,2,1,1],[4,3,2]]=>630 [[6,5,4,3,2,1],[5,4,3,1,1]]=>1680 [[6,5,4,3,1,1],[5,4,3,1]]=>1260 [[7,6,5,4,2,1],[6,5,4,2,1]]=>2520 [[3,3,3,3,3],[2,2,2,2]]=>15 [[4,4,4,4,3],[3,3,3,3]]=>35 [[4,4,4,3,3],[3,3,3,2]]=>105 [[5,5,5,4,3],[4,4,4,3]]=>140 [[4,4,3,3,3],[3,3,2,2]]=>126 [[5,5,4,4,3],[4,4,3,3]]=>210 [[5,5,4,3,3],[4,4,3,2]]=>315 [[6,6,5,4,3],[5,5,4,3]]=>420 [[4,3,3,3,3],[3,2,2,2]]=>70 [[5,4,4,4,3],[4,3,3,3]]=>140 [[5,4,4,3,3],[4,3,3,2]]=>315 [[6,5,5,4,3],[5,4,4,3]]=>420 [[5,4,3,3,3],[4,3,2,2]]=>252 [[6,5,4,4,3],[5,4,3,3]]=>420 [[6,5,4,3,3],[5,4,3,2]]=>630 [[7,6,5,4,3],[6,5,4,3]]=>840 [[2,2,2,2,2,1],[1,1,1,1]]=>20 [[3,3,3,3,3,1],[2,2,2,2,1]]=>35 [[3,3,3,3,2,1],[2,2,2,2]]=>70 [[4,4,4,4,3,1],[3,3,3,3,1]]=>105 [[3,3,3,2,2,1],[2,2,2,1]]=>175 [[4,4,4,3,3,1],[3,3,3,2,1]]=>280 [[4,4,4,3,2,1],[3,3,3,2]]=>280 [[5,5,5,4,3,1],[4,4,4,3,1]]=>420 [[3,3,2,2,2,1],[2,2,1,1]]=>189 [[4,4,3,3,3,1],[3,3,2,2,1]]=>315 [[4,4,3,3,2,1],[3,3,2,2]]=>420 [[5,5,4,4,3,1],[4,4,3,3,1]]=>630 [[4,4,3,2,2,1],[3,3,2,1]]=>525 [[5,5,4,3,3,1],[4,4,3,2,1]]=>840 [[5,5,4,3,2,1],[4,4,3,2]]=>840 [[6,6,5,4,3,1],[5,5,4,3,1]]=>1260 [[3,2,2,2,2,1],[2,1,1,1]]=>98 [[4,3,3,3,3,1],[3,2,2,2,1]]=>168 [[4,3,3,3,2,1],[3,2,2,2]]=>280 [[5,4,4,4,3,1],[4,3,3,3,1]]=>420 [[4,3,3,2,2,1],[3,2,2,1]]=>525 [[5,4,4,3,3,1],[4,3,3,2,1]]=>840 [[5,4,4,3,2,1],[4,3,3,2]]=>840 [[6,5,5,4,3,1],[5,4,4,3,1]]=>1260 [[4,3,2,2,2,1],[3,2,1,1]]=>378 [[5,4,3,3,3,1],[4,3,2,2,1]]=>630 [[5,4,3,3,2,1],[4,3,2,2]]=>840 [[6,5,4,4,3,1],[5,4,3,3,1]]=>1260 [[5,4,3,2,2,1],[4,3,2,1]]=>1050 [[6,5,4,3,3,1],[5,4,3,2,1]]=>1680 [[6,5,4,3,2,1],[5,4,3,2]]=>1680 [[7,6,5,4,3,1],[6,5,4,3,1]]=>2520 [[2,2,2,2,2,2],[1,1,1,1,1]]=>6 [[3,3,3,3,3,2],[2,2,2,2,2]]=>21 [[3,3,3,3,2,2],[2,2,2,2,1]]=>70 [[4,4,4,4,3,2],[3,3,3,3,2]]=>105 [[3,3,3,2,2,2],[2,2,2,1,1]]=>105 [[4,4,4,3,3,2],[3,3,3,2,2]]=>210 [[4,4,4,3,2,2],[3,3,3,2,1]]=>280 [[5,5,5,4,3,2],[4,4,4,3,2]]=>420 [[3,3,2,2,2,2],[2,2,1,1,1]]=>84 [[4,4,3,3,3,2],[3,3,2,2,2]]=>210 [[4,4,3,3,2,2],[3,3,2,2,1]]=>420 [[5,5,4,4,3,2],[4,4,3,3,2]]=>630 [[4,4,3,2,2,2],[3,3,2,1,1]]=>315 [[5,5,4,3,3,2],[4,4,3,2,2]]=>630 [[5,5,4,3,2,2],[4,4,3,2,1]]=>840 [[6,6,5,4,3,2],[5,5,4,3,2]]=>1260 [[3,2,2,2,2,2],[2,1,1,1,1]]=>35 [[4,3,3,3,3,2],[3,2,2,2,2]]=>105 [[4,3,3,3,2,2],[3,2,2,2,1]]=>280 [[5,4,4,4,3,2],[4,3,3,3,2]]=>420 [[4,3,3,2,2,2],[3,2,2,1,1]]=>315 [[5,4,4,3,3,2],[4,3,3,2,2]]=>630 [[5,4,4,3,2,2],[4,3,3,2,1]]=>840 [[6,5,5,4,3,2],[5,4,4,3,2]]=>1260 [[4,3,2,2,2,2],[3,2,1,1,1]]=>168 [[5,4,3,3,3,2],[4,3,2,2,2]]=>420 [[5,4,3,3,2,2],[4,3,2,2,1]]=>840 [[6,5,4,4,3,2],[5,4,3,3,2]]=>1260 [[5,4,3,2,2,2],[4,3,2,1,1]]=>630 [[6,5,4,3,3,2],[5,4,3,2,2]]=>1260 [[6,5,4,3,2,2],[5,4,3,2,1]]=>1680 [[7,6,5,4,3,2],[6,5,4,3,2]]=>2520 [[1,1,1,1,1,1,1],[]]=>1 [[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>7 [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>21 [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>42 [[2,2,2,2,1,1,1],[1,1,1,1]]=>35 [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>105 [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>105 [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>210 [[2,2,2,1,1,1,1],[1,1,1]]=>35 [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>140 [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>210 [[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>420 [[3,3,3,2,1,1,1],[2,2,2,1]]=>140 [[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>420
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Description
The number of standard Young tableaux of the skew partition.
Code
def statistic(la):
    return StandardTableaux(la).cardinality()
Created
Sep 22, 2020 at 09:47 by Martin Rubey
Updated
Sep 22, 2020 at 09:47 by Martin Rubey