Identifier
Mp00075: Semistandard tableaux reading word permutationPermutations
Mp00062: Permutations Lehmer-code to major-code bijectionPermutations
Mp00066: Permutations inversePermutations
Mp00109: Permutations descent wordBinary words
Images
=>
Cc0019;cc-rep-0
[[1,2]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,2]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[2]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,3]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,3]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,3]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[3]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[3]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,2]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,2]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,2]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[2]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,4]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,4]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,4]]=>[1,2]=>[1,2]=>[1,2]=>0 [[4,4]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[4]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[4]]=>[2,1]=>[2,1]=>[2,1]=>1 [[3],[4]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,3,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,3,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,3,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[3]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[3]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,3],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,3],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,2],[3]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,3],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1],[2],[3]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1,1,1,2]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,1],[2]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,2],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,2,2],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,1],[2,2]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,5]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,5]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,5]]=>[1,2]=>[1,2]=>[1,2]=>0 [[4,5]]=>[1,2]=>[1,2]=>[1,2]=>0 [[5,5]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[5]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[5]]=>[2,1]=>[2,1]=>[2,1]=>1 [[3],[5]]=>[2,1]=>[2,1]=>[2,1]=>1 [[4],[5]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,3,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,4,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,3,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,4,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,3,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,4,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,4,4]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,4],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,3],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,4],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,4],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,2],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,3],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,4],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,4],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,3],[4]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,4],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1],[2],[4]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[3],[4]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[3],[4]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1,1,1,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,1],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,3],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,2,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,3,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,2,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,1],[2,3]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[3,3]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,2],[2,3]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[3,3]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[3,3]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[2],[3]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,2],[2],[3]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,3],[2],[3]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,1,1,1,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,1],[2]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,2],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,2,2],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,2,2,2],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,1,1],[2,2]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,2],[2,2]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[4,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[5,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[6,6]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[6]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[6]]=>[2,1]=>[2,1]=>[2,1]=>1 [[3],[6]]=>[2,1]=>[2,1]=>[2,1]=>1 [[4],[6]]=>[2,1]=>[2,1]=>[2,1]=>1 [[5],[6]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,3,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,4,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,5,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,3,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,4,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,5,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,3,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,4,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,5,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,4,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,5,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,5,5]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,5],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,3],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,5],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,4],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,5],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,5],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,2],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,3],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,5],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,4],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,5],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,5],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,3],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,4],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,5],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,5],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,4],[5]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,5],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1],[2],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[3],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[4],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[3],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[4],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[4],[5]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1,1,1,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,1],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,4],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,2,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,2,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,1],[2,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[3,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,2],[2,4]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[3,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[2,4]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[3,4]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[3,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,3],[3,4]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[4,4]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[2],[4]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[3],[4]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,2],[2],[4]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,2],[3],[4]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,3],[2],[4]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,4],[2],[3]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,4],[2],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,3],[3],[4]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,4],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,2],[3],[4]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,3],[3],[4]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,4],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1],[2],[3],[4]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1,1,1,1,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,1],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,3],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,3],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,3,3],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,2,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,2,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,1,1],[2,3]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[3,3]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,2],[2,3]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,3],[2,2]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[3,3]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,3],[2,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,2,2],[2,3]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,2],[3,3]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,3],[2,3]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,3],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,2],[3,3]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,3],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,1],[2],[3]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,2],[2],[3]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,3],[2],[3]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,2,2],[2],[3]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,3],[2],[3]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,3,3],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,1],[2,2],[3]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,3],[3]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,2],[2,3],[3]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,1,1,1],[2,2]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,1],[2,2,2]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[4,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[5,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[6,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[7,7]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[3],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[4],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[5],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[6],[7]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,3,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,4,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,5,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,3,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,4,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,5,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,3,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,4,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,5,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,4,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,5,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,5,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[6,6,6]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,6],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,3],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,6],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,4],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,6],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,5],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,6],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,6],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,2],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,3],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,6],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,4],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,6],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,5],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,6],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,6],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,3],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,4],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,6],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,5],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,6],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,6],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,4],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,5],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,6],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,6],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[5,5],[6]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[5,6],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1],[2],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[3],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[4],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[5],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[3],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[4],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[5],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[4],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[5],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[4],[5],[6]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1,1,1,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[5,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,1],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,5],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,2,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,3,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,2,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[4,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[4,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[4,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,1],[2,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[3,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,2],[2,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[3,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[2,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[2,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[3,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[3,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[4,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,4],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[3,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,3],[3,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,4],[3,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,4],[4,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,4],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[4,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,4],[4,5]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[3,4],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[4,4],[5,5]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[2],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[3],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,2],[2],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,2],[3],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,3],[2],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,5],[2],[3]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,2],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,4],[2],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,5],[2],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,5],[2],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,3],[3],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,3],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,4],[3],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,5],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,5],[3],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,4],[4],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,5],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,2],[3],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,2],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,3],[3],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,3],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,4],[3],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,5],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,5],[3],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,4],[4],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,5],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[3,3],[4],[5]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[3,4],[4],[5]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[3,5],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1],[2],[3],[5]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[2],[4],[5]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[3],[4],[5]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[2],[3],[4],[5]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1,1,1,1,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[4,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,1],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,4],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,3,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,4,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,2,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,2,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[3,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[3,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[3,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[3,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,1,1],[2,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[3,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,2],[2,4]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,4],[2,2]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[3,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,3],[2,4]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,4],[2,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,4],[2,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[3,4]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,4],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,4],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,2,2],[2,4]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,2],[3,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,3],[2,4]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,4],[2,3]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,2],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,4],[2,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,3],[3,4]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,2,4],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,3],[2,4]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,4],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,4],[2,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,3],[3,4]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,3,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,3,4],[3,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,3,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,2],[3,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,2],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,3],[3,4]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[2,2,4],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,4],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,3,3],[3,4]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[2,3,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,3,4],[3,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[2,3,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[3,3,3],[4,4]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[3,3,4],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,1],[2],[4]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,1],[3],[4]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,2],[2],[4]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,2],[3],[4]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,3],[2],[4]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,4],[2],[3]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,4],[2],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,3],[3],[4]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,4],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,2,2],[2],[4]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,2],[3],[4]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,2,3],[2],[4]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,4],[2],[3]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,2,4],[2],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,3,3],[2],[4]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,4],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,3,4],[2],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,4,4],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,4,4],[2],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[2,2,2],[3],[4]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[2,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[2,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[2,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[2,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[2,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,1],[2,2],[4]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,3],[4]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,4],[3]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[2,4],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[3,3],[4]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[3,4],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,2],[2,3],[4]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[1,2],[2,4],[3]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[2,4],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,3],[2,4],[3]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[1,2],[3,4],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,3],[2,4],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,3],[3,4],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[2,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[2,2],[3,4],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[2,3],[3,4],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,1],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,3],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,1,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,2,3],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,3,3],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,2,2,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,2,3,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,3,3,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,2,2,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,2,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,3,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,3,3,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,3],[2,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,1,2,3],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,2,3],[2,3]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,1,3,3],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,3,3],[2,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,2,3],[2,3]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,3,3],[2,3]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,1,1],[2],[3]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,1,1,2],[2],[3]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,1,1,3],[2],[3]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,1,2,2],[2],[3]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,1,2,3],[2],[3]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,1,3,3],[2],[3]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,2,2,2],[2],[3]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,2,2,3],[2],[3]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,2,3,3],[2],[3]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,3,3,3],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,1,1],[2,2,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[2,3,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[3,3,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,2],[2,2,3]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,1,2],[2,3,3]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,1,2],[3,3,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[2,2],[3]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,1,1],[2,3],[3]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,1,2],[2,2],[3]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,1,2],[2,3],[3]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,1,3],[2,2],[3]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,1,3],[2,3],[3]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,2,2],[2,3],[3]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,2,3],[2,3],[3]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,1],[2,2],[3,3]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,1,1],[2]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,1,1,1,2],[2]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,1,1,2,2],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,1,2,2,2],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,2,2,2,2],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,1,1,1,1],[2,2]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,1,1,2],[2,2]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,1,2,2],[2,2]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,2,2,2],[2,2]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,1,1],[2,2,2]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,1,2],[2,2,2]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[2,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[4,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[5,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[6,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[7,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[8,8]]=>[1,2]=>[1,2]=>[1,2]=>0 [[1],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[2],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[3],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[4],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[5],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[6],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[7],[8]]=>[2,1]=>[2,1]=>[2,1]=>1 [[1,1,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,2,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,3,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,4,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,5,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,2,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,3,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,4,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,5,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[2,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,3,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,4,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,5,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[3,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,4,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,5,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,5,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[5,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[6,6,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[6,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[7,7,7]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[1,1],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,2],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,7],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,3],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,7],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,4],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,7],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,5],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,7],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[1,7],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,2],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,3],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,7],[3]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,4],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,7],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,5],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,7],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[2,7],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[2,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,3],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,4],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,7],[4]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,5],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,7],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[3,7],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[3,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,4],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,5],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,7],[5]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[4,7],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[4,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[5,5],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[5,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[5,7],[6]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[5,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[6,6],[7]]=>[3,1,2]=>[2,3,1]=>[3,1,2]=>10 [[6,7],[7]]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [[1],[2],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[3],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[4],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[5],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1],[6],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[3],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[4],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[5],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[2],[6],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[4],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[5],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[3],[6],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[4],[5],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[4],[6],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[5],[6],[7]]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>11 [[1,1,1,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[2,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[3,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[4,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[5,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[5,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[5,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[6,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[1,1,1],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,6],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,1,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,1,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,2,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,3,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,6,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[1,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[1,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,2,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[2,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[2,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[2,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[3,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[3,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[3,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[4,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[4,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[4,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[4,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[4,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[4,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[4,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[4,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[4,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[5,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[4,1,2,3]=>100 [[5,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [[5,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [[1,1],[2,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[3,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,2],[2,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[3,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[2,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[2,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,5],[2,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,2],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,3],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,5],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,3],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,4],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,4],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,5],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,4],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,5],[5,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[1,5],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[3,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,2],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,3],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,4],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,5],[3,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,3],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,4],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,4],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,5],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,4],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[2,5],[5,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[2,5],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[4,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,3],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,4],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[3,4],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,5],[4,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[3,4],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[3,5],[5,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[3,5],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[4,4],[5,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[4,4],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[4,5],[5,6]]=>[2,4,1,3]=>[1,3,4,2]=>[1,4,2,3]=>010 [[4,5],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[5,5],[6,6]]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [[1,1],[2],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[3],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,1],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,2],[2],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,2],[3],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,3],[2],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[2],[3]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,2],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,4],[2],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[2],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,2],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,5],[2],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[2],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,6],[2],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,3],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,3],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,4],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,3],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,5],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[3],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,6],[3],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,4],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,4],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[1,5],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,6],[4],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1,5],[5],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[1,6],[5],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,2],[3],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,2],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,2],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,3],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,3],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,4],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,6],[3],[4]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,3],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,5],[3],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,6],[3],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,6],[3],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,4],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,4],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[2,5],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,6],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,6],[4],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[2,5],[5],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[2,6],[5],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[3,3],[4],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[3,3],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[3,4],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[3,4],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[3,5],[4],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[3,6],[4],[5]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[3,6],[4],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[3,5],[5],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[3,6],[5],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[4,4],[5],[6]]=>[4,3,1,2]=>[3,4,2,1]=>[4,3,1,2]=>110 [[4,5],[5],[6]]=>[4,2,1,3]=>[3,2,4,1]=>[4,2,1,3]=>110 [[4,6],[5],[6]]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [[1],[2],[3],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[2],[4],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[2],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[3],[4],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[3],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1],[4],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[2],[3],[4],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[2],[3],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[2],[4],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[3],[4],[5],[6]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [[1,1,1,1,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[2,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[3,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[4,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[4,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[4,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[4,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[5,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[1,1,1,1],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,5],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,1,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,1,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,2,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,3,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,4,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,2,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,5,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,1,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,1,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,1,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,2,2,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,3,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,2,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,3,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,3,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,2,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,2,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,2,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,5,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,3,3,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,3,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,3,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,4,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,3,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,5,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[1,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[1,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[1,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,2,2,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,2,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,2,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,2,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,2,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,2,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,3,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,3,3,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,3,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,3,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,4,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,4,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,3,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,5,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[2,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[2,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[2,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[2,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[3,3,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[3,3,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[3,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[3,3,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[3,3,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[3,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[3,3,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[3,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[3,3,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[3,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[3,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[3,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[3,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[3,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[3,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[3,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[4,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [[4,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [[4,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [[4,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [[1,1,1],[2,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[3,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,1],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,2],[2,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[2,2]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[3,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,3],[2,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[2,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,4],[2,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[2,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,2],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,5],[2,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,4],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,5],[3,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,1,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,1,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,2,2],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,2],[3,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,3],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,5],[2,3]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,2],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,4],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,5],[2,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,2],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,5],[2,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,3],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,2,5],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,3],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,4],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,2,5],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,4],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,3,5],[2,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,5],[3,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,5],[2,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,2,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,4,4],[2,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,2,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,2,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,4,5],[2,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,2,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,3,3],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,3,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,3,4],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,3,5],[3,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,3,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,3,5],[3,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,3,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[1,3,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,4,4],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,3,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,3,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,4,5],[3,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,3,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,4,4],[4,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[1,4,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[1,4,5],[4,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[1,4,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,2],[3,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,2],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,2],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,3],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[2,2,5],[3,3]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,4],[3,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[2,2,5],[3,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,5],[3,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[2,2,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,2,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,2,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,3,3],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[2,3,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,3,4],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[2,3,5],[3,4]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[2,3,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,3,5],[3,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[2,3,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[2,3,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,4,4],[3,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[2,3,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,3,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,4,5],[3,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[2,3,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[2,4,4],[4,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[2,4,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[2,4,5],[4,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[2,4,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[3,3,3],[4,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[3,3,3],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[3,3,4],[4,5]]=>[3,5,1,2,4]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [[3,3,5],[4,4]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[3,3,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[3,3,5],[4,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[3,3,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[3,4,4],[4,5]]=>[2,5,1,3,4]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [[3,4,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[3,4,5],[4,5]]=>[2,4,1,3,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [[3,4,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[4,4,4],[5,5]]=>[4,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [[4,4,5],[5,5]]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,3,3],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[1,3,4],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,3,5],[3],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,3,5],[3],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[1,4,4],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,4,5],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[1,4,5],[3],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,5,5],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,5,5],[3],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[1,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[1,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[2,2,2],[3],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[2,2,2],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[2,2,3],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[2,2,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[2,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[2,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[2,2,5],[3],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[2,2,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[2,2,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[2,3,3],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[2,3,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[2,3,4],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[2,3,5],[3],[4]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[2,3,5],[3],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[2,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[2,4,4],[3],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[2,4,5],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[2,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[2,4,5],[3],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[2,5,5],[3],[4]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[2,5,5],[3],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[2,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[2,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[2,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[3,3,3],[4],[5]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [[3,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [[3,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [[3,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [[3,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [[3,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [[1,1],[2,2],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,3],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,5],[3]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[2,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[2,5],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[2,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[3,3],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[3,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[3,5],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[3,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,1],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,1],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,2],[2,3],[5]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[1,2],[2,5],[3]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[2,4],[5]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[1,2],[2,5],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[2,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[3,3],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,3],[2,5],[3]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[1,2],[3,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,3],[2,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,2],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,4],[2,5],[4]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[1,2],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,4],[2,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,3],[3,4],[5]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[1,3],[3,5],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,3],[3,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[1,4],[3,5],[4]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[1,3],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[1,4],[3,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,4],[4,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[2,2],[3,3],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[2,2],[3,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[2,2],[3,5],[4]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[2,2],[3,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[2,2],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[2,2],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[2,3],[3,4],[5]]=>[5,2,4,1,3]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [[2,3],[3,5],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[2,3],[3,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[2,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[2,4],[3,5],[4]]=>[3,2,5,1,4]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [[2,3],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[2,4],[3,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[2,4],[4,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[3,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [[3,3],[4,5],[5]]=>[4,3,5,1,2]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [[3,4],[4,5],[5]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [[1,1],[2],[3],[5]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[1,1],[2],[4],[5]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[1,1],[3],[4],[5]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[1,2],[2],[3],[5]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[1,2],[2],[4],[5]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[1,3],[2],[3],[5]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[1,5],[2],[3],[5]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[1,4],[2],[4],[5]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[1,5],[2],[4],[5]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[1,3],[3],[4],[5]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[1,4],[3],[4],[5]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[1,5],[3],[4],[5]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[2,2],[3],[4],[5]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [[2,3],[3],[4],[5]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [[2,4],[3],[4],[5]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [[2,5],[3],[4],[5]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1111 [[1,1,1,1,1,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,2,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[2,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[3,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[4,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,1,1,1,1],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,4],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,1,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,1,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,1,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,2,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,3,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,4,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,1,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,1,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,1,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,2,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,2,2,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,2,3,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,2,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,3,3,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,3,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,2,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,4,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,1,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,1,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,1,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,1,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,2,2,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,2,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,2,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,3,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,3,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,3,3,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,3,3,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,3,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,4,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[2,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[2,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[2,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[2,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[2,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>00100 [[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>10100 [[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>10100 [[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>10100 [[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>10100 [[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>10100 [[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>10100 [[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>10100 [[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>10100 [[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>11100 [[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>11100 [[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>11100 [[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>11100 [[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>11100 [[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>11100 [[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>11100 [[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>11100 [[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>11100 [[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>11100 [[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[1,5,3,6,4,2]=>[1,6,3,5,2,4]=>01010 [[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>01010 [[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>01010 [[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>11010 [[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>11010 [[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>11010 [[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>11010 [[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>11010 [[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>11010 [[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [[1,1,1,1,1,1],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,1,1,1,3],[2]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[1,2,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[1,3,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[2,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [[2,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [[1,1,1,1,1],[2,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,1,1,1],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>[3,4,5,1,6,7,2]=>[4,7,1,2,3,5,6]=>010000 [[1,1,1,1,3],[2,2]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,1,1,2],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>[3,4,1,5,6,7,2]=>[3,7,1,2,4,5,6]=>010000 [[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>[3,4,1,5,6,2,7]=>[3,6,1,2,4,5,7]=>010000 [[1,1,1,3,3],[2,2]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,1,3,3],[2,3]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,1,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>[3,1,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>010000 [[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>[3,1,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>010000 [[1,1,2,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,1,2,3,3],[2,3]]=>[3,5,1,2,4,6,7]=>[3,1,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>010000 [[1,1,3,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,1,3,3,3],[2,3]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,2,2,2,2],[2,3]]=>[2,7,1,3,4,5,6]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>010000 [[1,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[1,2,2,2,3],[2,3]]=>[2,6,1,3,4,5,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>010000 [[1,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[1,2,2,3,3],[2,3]]=>[2,5,1,3,4,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>010000 [[1,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[1,2,3,3,3],[2,3]]=>[2,4,1,3,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>010000 [[1,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[2,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [[2,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [[2,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [[1,1,1,1,1],[2],[3]]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>110000 [[1,1,1,1,2],[2],[3]]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>110000 [[1,1,1,1,3],[2],[3]]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>110000 [[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>110000 [[1,1,1,2,3],[2],[3]]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>110000 [[1,1,1,3,3],[2],[3]]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>110000 [[1,1,2,2,2],[2],[3]]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>110000 [[1,1,2,2,3],[2],[3]]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>110000 [[1,1,2,3,3],[2],[3]]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>110000 [[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>110000 [[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>110000 [[1,2,2,2,3],[2],[3]]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>110000 [[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>110000 [[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>110000 [[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>110000 [[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>[4,1,5,2,6,7,3]=>[2,4,7,1,3,5,6]=>001000 [[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>[4,1,5,6,2,7,3]=>[2,5,7,1,3,4,6]=>001000 [[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>[1,4,2,5,6,7,3]=>[1,3,7,2,4,5,6]=>001000 [[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>[1,4,5,6,2,7,3]=>[1,5,7,2,3,4,6]=>001000 [[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>[1,4,2,5,6,3,7]=>[1,3,6,2,4,5,7]=>001000 [[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>[1,4,5,2,6,3,7]=>[1,4,6,2,3,5,7]=>001000 [[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>[4,5,6,1,2,7,3]=>[4,5,7,1,2,3,6]=>001000 [[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>[4,5,1,2,6,3,7]=>[3,4,6,1,2,5,7]=>001000 [[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>[4,5,6,2,7,3,1]=>[7,4,6,1,2,3,5]=>101000 [[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>[4,5,6,2,1,7,3]=>[5,4,7,1,2,3,6]=>101000 [[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>[4,5,2,6,3,7,1]=>[7,3,5,1,2,4,6]=>101000 [[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>[4,5,2,6,1,7,3]=>[5,3,7,1,2,4,6]=>101000 [[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>[4,5,2,6,3,1,7]=>[6,3,5,1,2,4,7]=>101000 [[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>[4,5,2,1,6,3,7]=>[4,3,6,1,2,5,7]=>101000 [[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>[4,2,5,3,6,7,1]=>[7,2,4,1,3,5,6]=>101000 [[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>[4,2,5,6,1,7,3]=>[5,2,7,1,3,4,6]=>101000 [[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>[4,2,5,3,6,1,7]=>[6,2,4,1,3,5,7]=>101000 [[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>[4,2,5,1,6,3,7]=>[4,2,6,1,3,5,7]=>101000 [[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>[4,2,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>101000 [[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>[4,2,1,5,3,6,7]=>[3,2,5,1,4,6,7]=>101000 [[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]=>101000 [[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>[2,4,5,1,6,3,7]=>[4,1,6,2,3,5,7]=>101000 [[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[3,1,5,2,4,6,7]=>101000 [[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>[5,2,6,3,7,4,1]=>[7,2,4,6,1,3,5]=>100100 [[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>[5,2,6,3,1,7,4]=>[5,2,4,7,1,3,6]=>100100 [[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>[5,2,1,6,3,7,4]=>[3,2,5,7,1,4,6]=>100100 [[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>[2,5,3,6,1,7,4]=>[5,1,3,7,2,4,6]=>100100 [[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>[2,5,1,6,3,7,4]=>[3,1,5,7,2,4,6]=>100100 [[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>[5,6,2,1,3,7,4]=>[4,3,5,7,1,2,6]=>100100 [[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>[5,6,3,1,7,4,2]=>[4,7,3,6,1,2,5]=>010100 [[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>[5,3,6,4,1,7,2]=>[5,7,2,4,1,3,6]=>010100 [[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>[5,3,1,6,4,2,7]=>[3,6,2,5,1,4,7]=>010100 [[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,1,1,1,1,1,1],[2]]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>1000000 [[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>1000000 [[1,1,1,1,1,2,2],[2]]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>1000000 [[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>1000000 [[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>1000000 [[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>1000000 [[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1000000 [[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,1,8,2]=>[6,8,1,2,3,4,5,7]=>0100000 [[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>[3,4,5,6,1,7,2,8]=>[5,7,1,2,3,4,6,8]=>0100000 [[1,1,1,1,2,2],[2,2]]=>[5,6,1,2,3,4,7,8]=>[3,4,5,1,6,2,7,8]=>[4,6,1,2,3,5,7,8]=>0100000 [[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>[3,4,1,5,2,6,7,8]=>[3,5,1,2,4,6,7,8]=>0100000 [[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>0100000 [[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>[4,5,6,1,7,2,8,3]=>[4,6,8,1,2,3,5,7]=>0010000 [[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>[4,5,1,6,2,7,3,8]=>[3,5,7,1,2,4,6,8]=>0010000 [[1,1,1,2,2],[2,2,2]]=>[4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]=>[2,4,6,1,3,5,7,8]=>0010000 [[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>[2,4,6,8,1,3,5,7]=>0001000 [[1]]=>[1]=>[1]=>[1]=> [[1,1,1,1],[2,2,2],[3,3],[4]]=>[10,8,9,5,6,7,1,2,3,4]=>[7,8,4,9,5,2,10,6,3,1]=>[10,6,9,3,5,8,1,2,4,7]=>101001000 [[1,1,1,4],[2,2,4],[3,4],[4]]=>[7,6,8,4,5,9,1,2,3,10]=>[7,4,2,1,8,5,3,9,6,10]=>[4,3,7,2,6,9,1,5,8,10]=>101001000 [[2]]=>[1]=>[1]=>[1]=> [[1,1]]=>[1,2]=>[1,2]=>[1,2]=>0 [[3]]=>[1]=>[1]=>[1]=> [[1,1,1]]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [[4]]=>[1]=>[1]=>[1]=> [[1,1,1,1]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [[5]]=>[1]=>[1]=>[1]=> [[1,1,1,1,1]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [[6]]=>[1]=>[1]=>[1]=> [[1,1,1,1,1,1]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>11100 [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>10100 [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>11100 [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>10100 [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>11100 [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>11100 [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>11110 [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>10100 [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>00100 [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>10100 [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>10100 [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>11010 [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>11100 [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>10100 [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>11100 [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>11100 [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>11110 [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>11010 [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>10100 [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>10100 [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>01010 [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>11010 [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>11100 [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>11100 [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>11110 [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>11010 [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>01010 [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>11010 [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[1,5,3,6,4,2]=>[1,6,3,5,2,4]=>01010 [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>11100 [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>11010 [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>11110 [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>11010 [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>01010 [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>11010 [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>11010 [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>11110 [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>11111
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
Map
inverse
Description
Sends a permutation to its inverse.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.