Identifier
Mp00256: Decorated permutations upper permutationPermutations
Mp00235: Permutations descent views to invisible inversion bottomsPermutations
Mp00151: Permutations to cycle type Set partitions
Images
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Cc0009;cc-rep-3
[+]=>[1]=>[1]=>{{1}} [-]=>[1]=>[1]=>{{1}} [+,+]=>[1,2]=>[1,2]=>{{1},{2}} [-,+]=>[2,1]=>[2,1]=>{{1,2}} [+,-]=>[1,2]=>[1,2]=>{{1},{2}} [-,-]=>[1,2]=>[1,2]=>{{1},{2}} [2,1]=>[2,1]=>[2,1]=>{{1,2}} [+,+,+]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [-,+,+]=>[2,3,1]=>[3,2,1]=>{{1,3},{2}} [+,-,+]=>[1,3,2]=>[1,3,2]=>{{1},{2,3}} [+,+,-]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [-,-,+]=>[3,1,2]=>[3,1,2]=>{{1,2,3}} [-,+,-]=>[2,1,3]=>[2,1,3]=>{{1,2},{3}} [+,-,-]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [-,-,-]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [+,3,2]=>[1,3,2]=>[1,3,2]=>{{1},{2,3}} [-,3,2]=>[3,1,2]=>[3,1,2]=>{{1,2,3}} [2,1,+]=>[2,3,1]=>[3,2,1]=>{{1,3},{2}} [2,1,-]=>[2,1,3]=>[2,1,3]=>{{1,2},{3}} [2,3,1]=>[3,1,2]=>[3,1,2]=>{{1,2,3}} [3,1,2]=>[2,3,1]=>[3,2,1]=>{{1,3},{2}} [3,+,1]=>[2,3,1]=>[3,2,1]=>{{1,3},{2}} [3,-,1]=>[3,1,2]=>[3,1,2]=>{{1,2,3}} [+,+,+,+]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [-,+,+,+]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [+,-,+,+]=>[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}} [+,+,-,+]=>[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}} [+,+,+,-]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [-,-,+,+]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [-,+,-,+]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [-,+,+,-]=>[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}} [+,-,-,+]=>[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}} [+,-,+,-]=>[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}} [+,+,-,-]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [-,-,-,+]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [-,-,+,-]=>[3,1,2,4]=>[3,1,2,4]=>{{1,2,3},{4}} [-,+,-,-]=>[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}} [+,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [-,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [+,+,4,3]=>[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}} [-,+,4,3]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [+,-,4,3]=>[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}} [-,-,4,3]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [+,3,2,+]=>[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}} [-,3,2,+]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [+,3,2,-]=>[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}} [-,3,2,-]=>[3,1,2,4]=>[3,1,2,4]=>{{1,2,3},{4}} [+,3,4,2]=>[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}} [-,3,4,2]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [+,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}} [-,4,2,3]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [+,4,+,2]=>[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}} [-,4,+,2]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [+,4,-,2]=>[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}} [-,4,-,2]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [2,1,+,+]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [2,1,-,+]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [2,1,+,-]=>[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}} [2,1,-,-]=>[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}} [2,1,4,3]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [2,3,1,+]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [2,3,1,-]=>[3,1,2,4]=>[3,1,2,4]=>{{1,2,3},{4}} [2,3,4,1]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [2,4,1,3]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [2,4,+,1]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [2,4,-,1]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [3,1,2,+]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [3,1,2,-]=>[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}} [3,1,4,2]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [3,+,1,+]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [3,-,1,+]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [3,+,1,-]=>[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}} [3,-,1,-]=>[3,1,2,4]=>[3,1,2,4]=>{{1,2,3},{4}} [3,+,4,1]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [3,-,4,1]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [3,4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [3,4,2,1]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [4,1,2,3]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [4,1,+,2]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [4,1,-,2]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [4,+,1,3]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [4,-,1,3]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [4,+,+,1]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [4,-,+,1]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [4,+,-,1]=>[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}} [4,-,-,1]=>[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}} [4,3,1,2]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [4,3,2,1]=>[3,4,1,2]=>[4,1,3,2]=>{{1,2,4},{3}} [+,+,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [-,+,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [+,-,+,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [+,+,-,+,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [+,+,+,-,+]=>[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}} [+,+,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [-,-,+,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [-,+,-,+,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [-,+,+,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [-,+,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [+,-,-,+,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [+,-,+,-,+]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [+,-,+,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [+,+,-,-,+]=>[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}} [+,+,-,+,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} [+,+,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [-,-,-,+,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [-,-,+,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [-,-,+,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [-,+,-,-,+]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [-,+,-,+,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [-,+,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [+,-,-,-,+]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [+,-,-,+,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}} [+,-,+,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} [+,+,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [-,-,-,-,+]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [-,-,-,+,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [-,-,+,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [-,+,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [+,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [-,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [+,+,+,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}} [-,+,+,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [+,-,+,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [+,+,-,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}} [-,-,+,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [-,+,-,5,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [+,-,-,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,-,-,5,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,+,4,3,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [-,+,4,3,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [+,-,4,3,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [+,+,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} [-,-,4,3,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [-,+,4,3,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [+,-,4,3,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}} [-,-,4,3,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [+,+,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}} [-,+,4,5,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [+,-,4,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,-,4,5,3]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,+,5,3,4]=>[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [-,+,5,3,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [+,-,5,3,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,-,5,3,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,+,5,+,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [-,+,5,+,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [+,-,5,+,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [+,+,5,-,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}} [-,-,5,+,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [-,+,5,-,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [+,-,5,-,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,-,5,-,3]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,3,2,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,3,2,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,3,2,-,+]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [+,3,2,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [-,3,2,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [-,3,2,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [+,3,2,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} [-,3,2,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [+,3,2,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [-,3,2,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [+,3,4,2,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,3,4,2,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,3,4,2,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}} [-,3,4,2,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [+,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,3,4,5,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,3,5,2,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,3,5,2,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,3,5,+,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,3,5,+,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,3,5,-,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,3,5,-,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,4,2,3,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,4,2,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,4,2,3,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [-,4,2,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [+,4,2,5,3]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [-,4,2,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [+,4,+,2,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,4,+,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,4,-,2,+]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [+,4,+,2,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [-,4,-,2,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [-,4,+,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [+,4,-,2,-]=>[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}} [-,4,-,2,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [+,4,+,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [-,4,+,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [+,4,-,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,4,-,5,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,4,5,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,4,5,3,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,5,2,3,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,5,2,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,5,2,+,3]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,5,2,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,5,2,-,3]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [-,5,2,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [+,5,+,2,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,5,+,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,5,-,2,4]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,5,-,2,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,5,+,+,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [-,5,+,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [+,5,-,+,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [+,5,+,-,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [-,5,-,+,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [-,5,+,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [+,5,-,-,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [-,5,-,-,2]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [+,5,4,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,5,4,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,5,4,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [-,5,4,3,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,1,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [2,1,-,+,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [2,1,+,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [2,1,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [2,1,-,-,+]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [2,1,-,+,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [2,1,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [2,1,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [2,1,+,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [2,1,-,5,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [2,1,4,3,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [2,1,4,3,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [2,1,4,5,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [2,1,5,3,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [2,1,5,+,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [2,1,5,-,3]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [2,3,1,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,3,1,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,3,1,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [2,3,1,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [2,3,1,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,3,4,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,3,4,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [2,3,5,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,3,5,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,3,5,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [2,4,1,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,4,1,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [2,4,1,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,4,+,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,4,-,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,4,+,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [2,4,-,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [2,4,+,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,4,-,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [2,4,5,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,4,5,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,5,1,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,5,1,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,5,1,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,5,+,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,5,-,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,5,+,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [2,5,-,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,5,+,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [2,5,-,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [2,5,4,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [2,5,4,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,1,2,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [3,1,2,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [3,1,2,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [3,1,2,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [3,1,2,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [3,1,4,2,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,1,4,2,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [3,1,4,5,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [3,1,5,2,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,1,5,+,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,1,5,-,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [3,+,1,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [3,-,1,+,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,+,1,-,+]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [3,+,1,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [3,-,1,-,+]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,-,1,+,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [3,+,1,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [3,-,1,-,-]=>[3,1,2,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [3,+,1,5,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [3,-,1,5,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,+,4,1,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,-,4,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,+,4,1,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [3,-,4,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [3,+,4,5,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [3,-,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [3,+,5,1,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,-,5,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,+,5,+,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [3,-,5,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,+,5,-,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [3,-,5,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [3,4,1,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,4,1,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [3,4,1,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,4,2,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,4,2,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [3,4,2,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,4,5,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,4,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,5,1,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,5,1,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,5,1,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,5,2,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,5,2,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [3,5,2,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [3,5,4,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [3,5,4,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,1,2,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [4,1,2,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [4,1,2,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [4,1,+,2,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [4,1,-,2,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,1,+,2,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [4,1,-,2,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [4,1,+,5,2]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [4,1,-,5,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [4,1,5,2,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,1,5,3,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,+,1,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [4,-,1,3,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,+,1,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [4,-,1,3,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [4,+,1,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [4,-,1,5,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [4,+,+,1,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [4,-,+,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,+,-,1,+]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,+,+,1,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [4,-,-,1,+]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,-,+,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [4,+,-,1,-]=>[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [4,-,-,1,-]=>[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [4,+,+,5,1]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [4,-,+,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [4,+,-,5,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [4,-,-,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [4,+,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,-,5,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,+,5,3,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [4,-,5,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,3,1,2,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,3,1,2,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [4,3,1,5,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [4,3,2,1,+]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,3,2,1,-]=>[3,4,1,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [4,3,2,5,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [4,3,5,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,3,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,5,1,2,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,1,3,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,2,1,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,2,3,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,+,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,-,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [4,5,+,2,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [4,5,-,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,1,2,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,1,2,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,1,2,-,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [5,1,+,2,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,1,-,2,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,1,+,+,2]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,1,-,+,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,1,+,-,2]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [5,1,-,-,2]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [5,1,4,2,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,1,4,3,2]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,+,1,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,-,1,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,+,1,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,-,1,+,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,+,1,-,3]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [5,-,1,-,3]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [5,+,+,1,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,-,+,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,+,-,1,4]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,-,-,1,4]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,+,+,+,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [5,-,+,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,+,-,+,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,+,+,-,1]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}} [5,-,-,+,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,-,+,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [5,+,-,-,1]=>[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [5,-,-,-,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [5,+,4,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,-,4,1,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,+,4,3,1]=>[2,4,5,1,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [5,-,4,3,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,3,1,2,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,3,1,+,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,3,1,-,2]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [5,3,2,1,4]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,3,2,+,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,3,2,-,1]=>[3,5,1,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [5,3,4,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,3,4,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,4,1,2,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,1,3,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,2,1,3]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,2,3,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,+,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,-,1,2]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [5,4,+,2,1]=>[3,4,5,1,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}} [5,4,-,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [+,+,+,+,+,+]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,+,+,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [+,-,+,+,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [+,+,-,+,+,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [+,+,+,-,+,+]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [+,+,+,+,-,+]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}} [+,+,+,+,+,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,-,+,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [-,+,-,+,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [-,+,+,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [-,+,+,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [-,+,+,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [+,-,-,+,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,-,+,-,+,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,-,+,+,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [+,-,+,+,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [+,+,-,-,+,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [+,+,-,+,-,+]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [+,+,-,+,+,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [+,+,+,-,-,+]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}} [+,+,+,-,+,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} [+,+,+,+,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,-,-,+,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,-,+,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,-,+,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [-,-,+,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [-,+,-,-,+,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [-,+,-,+,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [-,+,-,+,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [-,+,+,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [-,+,+,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [-,+,+,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [+,-,-,-,+,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,-,-,+,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,-,-,+,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [+,-,+,-,-,+]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [+,-,+,-,+,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [+,-,+,+,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [+,+,-,-,-,+]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [+,+,-,-,+,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}} [+,+,-,+,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} [+,+,+,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,-,-,-,+,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,-,-,+,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,-,-,+,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [-,-,+,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [-,-,+,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [-,-,+,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [-,+,-,-,-,+]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [-,+,-,-,+,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [-,+,-,+,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [-,+,+,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [+,-,-,-,-,+]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [+,-,-,-,+,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [+,-,-,+,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}} [+,-,+,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} [+,+,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,-,-,-,-,+]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [-,-,-,-,+,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [-,-,-,+,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [-,-,+,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [-,+,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [+,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [-,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [+,+,+,+,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}} [-,+,+,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [+,-,+,+,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [+,+,-,+,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [+,+,+,-,6,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}} [-,-,+,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [-,+,-,+,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [-,+,+,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [+,-,-,+,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,-,+,-,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [+,+,-,-,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,-,+,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,-,+,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [-,+,-,-,6,5]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,-,-,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,-,-,6,5]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,+,5,4,+]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [-,+,+,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [+,-,+,5,4,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,+,-,5,4,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [+,+,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} [-,-,+,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,+,-,5,4,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [-,+,+,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [+,-,-,5,4,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,-,+,5,4,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [+,+,-,5,4,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}} [-,-,-,5,4,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,-,+,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [-,+,-,5,4,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [+,-,-,5,4,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,-,-,5,4,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,+,+,5,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}} [-,+,+,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [+,-,+,5,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [+,+,-,5,6,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,+,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [-,+,-,5,6,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,-,5,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,-,5,6,4]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,+,6,4,5]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [-,+,+,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [+,-,+,6,4,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,+,-,6,4,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,-,+,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,+,-,6,4,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,-,6,4,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,-,6,4,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,+,6,+,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [-,+,+,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [+,-,+,6,+,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,+,-,6,+,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [+,+,+,6,-,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}} [-,-,+,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,+,-,6,+,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [-,+,+,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [+,-,-,6,+,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,-,+,6,-,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [+,+,-,6,-,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,-,6,+,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,-,+,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [-,+,-,6,-,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,-,6,-,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,-,6,-,4]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,4,3,+,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,4,3,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,4,3,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,4,3,-,+]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [+,+,4,3,+,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [-,-,4,3,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,4,3,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [-,+,4,3,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [+,-,4,3,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,-,4,3,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [+,+,4,3,-,-]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} [-,-,4,3,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,-,4,3,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [-,+,4,3,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [+,-,4,3,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}} [-,-,4,3,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [+,+,4,3,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [-,+,4,3,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [+,-,4,3,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,-,4,3,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,+,4,5,3,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,4,5,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,4,5,3,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,+,4,5,3,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}} [-,-,4,5,3,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,+,4,5,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [+,-,4,5,3,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,-,4,5,3,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,+,4,5,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,+,4,5,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,4,5,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,4,5,6,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,4,6,3,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,4,6,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,4,6,3,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,4,6,3,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,4,6,+,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,4,6,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,4,6,+,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,+,4,6,-,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,4,6,+,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,+,4,6,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,4,6,-,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,4,6,-,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,5,3,4,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,5,3,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,5,3,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,5,3,4,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [-,-,5,3,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,5,3,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [+,-,5,3,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,-,5,3,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,+,5,3,6,4]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [-,+,5,3,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [+,-,5,3,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,-,5,3,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,+,5,+,3,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,5,+,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,5,+,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,5,-,3,+]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [+,+,5,+,3,-]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [-,-,5,+,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,5,-,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [-,+,5,+,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [+,-,5,-,3,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,-,5,+,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [+,+,5,-,3,-]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}} [-,-,5,-,3,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,-,5,+,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [-,+,5,-,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [+,-,5,-,3,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,-,5,-,3,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,+,5,+,6,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [-,+,5,+,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [+,-,5,+,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,+,5,-,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,5,+,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,+,5,-,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,5,-,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,5,-,6,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,5,6,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,5,6,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,5,6,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,5,6,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,5,6,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,5,6,4,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,6,3,4,5]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,6,3,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,6,3,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,-,6,3,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,+,6,3,+,4]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,6,3,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,6,3,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,6,3,-,4]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [-,-,6,3,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,6,3,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [+,-,6,3,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,-,6,3,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,+,6,+,3,5]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,6,+,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,6,+,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,6,-,3,5]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,-,6,+,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,6,-,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,6,-,3,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,6,-,3,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,6,+,+,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [-,+,6,+,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [+,-,6,+,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,+,6,-,+,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [+,+,6,+,-,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [-,-,6,+,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,+,6,-,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [-,+,6,+,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [+,-,6,-,+,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,-,6,+,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,+,6,-,-,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [-,-,6,-,+,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,-,6,+,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,+,6,-,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [+,-,6,-,-,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,-,6,-,-,3]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,+,6,5,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,6,5,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,6,5,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,6,5,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,+,6,5,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [-,+,6,5,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [+,-,6,5,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,-,6,5,4,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,2,+,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,3,2,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,3,2,-,+,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,3,2,+,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [+,3,2,+,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,3,2,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,3,2,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [-,3,2,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,3,2,-,-,+]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [+,3,2,-,+,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [+,3,2,+,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [-,3,2,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [-,3,2,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [-,3,2,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [+,3,2,-,-,-]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} [-,3,2,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [+,3,2,+,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,3,2,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,3,2,-,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,3,2,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,3,2,5,4,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,3,2,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,3,2,5,4,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [-,3,2,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [+,3,2,5,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,3,2,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,3,2,6,4,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,3,2,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,3,2,6,+,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,3,2,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,3,2,6,-,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,3,2,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,3,4,2,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,4,2,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,4,2,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,3,4,2,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,3,4,2,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,3,4,2,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,3,4,2,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}} [-,3,4,2,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [+,3,4,2,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,3,4,2,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,3,4,5,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,4,5,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,4,5,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,3,4,5,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,3,4,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,3,4,5,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,3,4,6,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,4,6,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,4,6,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,4,6,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,4,6,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,3,4,6,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,3,5,2,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,5,2,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,5,2,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,3,5,2,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,3,5,2,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,3,5,2,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,3,5,+,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,5,+,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,5,-,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,3,5,+,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,3,5,-,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,3,5,+,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,3,5,-,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,3,5,-,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,3,5,+,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,3,5,+,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,3,5,-,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,3,5,-,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,3,5,6,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,5,6,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,5,6,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,6,2,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,6,2,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,6,2,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,6,2,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,6,2,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,3,6,2,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,3,6,+,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,6,+,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,6,-,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,6,-,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,6,+,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,3,6,+,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,3,6,-,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,3,6,+,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,3,6,-,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,3,6,+,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,3,6,-,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,3,6,-,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,3,6,5,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,6,5,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,3,6,5,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,3,6,5,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,4,2,3,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,4,2,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,4,2,3,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [+,4,2,3,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,4,2,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [-,4,2,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,4,2,3,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [-,4,2,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [+,4,2,3,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,4,2,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,4,2,5,3,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,2,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,2,5,3,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [-,4,2,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [+,4,2,5,6,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,4,2,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,4,2,6,3,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,2,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,2,6,+,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,2,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,2,6,-,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,4,2,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,4,+,2,+,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,4,+,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,4,-,2,+,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,4,+,2,-,+]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [+,4,+,2,+,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,4,-,2,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,4,+,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [-,4,+,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,4,-,2,-,+]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,4,-,2,+,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [+,4,+,2,-,-]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [-,4,-,2,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,4,-,2,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [-,4,+,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [+,4,-,2,-,-]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}} [-,4,-,2,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [+,4,+,2,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,4,+,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,4,-,2,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,4,-,2,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,4,+,5,2,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,+,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,-,5,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,4,+,5,2,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [-,4,-,5,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,4,+,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [+,4,-,5,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,4,-,5,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,4,+,5,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,4,+,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,4,-,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,4,-,5,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,4,+,6,2,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,+,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,-,6,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,4,-,6,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,4,+,6,+,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,4,+,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,4,-,6,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,4,+,6,-,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,4,-,6,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,4,+,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,4,-,6,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,4,-,6,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,4,5,2,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,5,2,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,4,5,2,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,4,5,2,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,4,5,2,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,4,5,3,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,5,3,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,5,3,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,4,5,3,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,4,5,3,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,4,5,3,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,4,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,4,5,6,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,4,5,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,4,5,6,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,4,6,2,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,6,2,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,6,2,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,6,2,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,6,2,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,4,6,2,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,4,6,3,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,6,3,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,6,3,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,4,6,3,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,4,6,3,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,4,6,3,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,4,6,5,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,4,6,5,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,4,6,5,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,4,6,5,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,2,3,4,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,5,2,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,5,2,3,4,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,5,2,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,5,2,3,6,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,5,2,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,5,2,+,3,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,5,2,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,5,2,-,3,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,5,2,+,3,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,5,2,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,5,2,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,5,2,-,3,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [-,5,2,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [+,5,2,+,6,3]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,5,2,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,5,2,-,6,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,5,2,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,5,2,6,3,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,5,2,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,5,2,6,4,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,5,2,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,5,+,2,4,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,5,+,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,5,-,2,4,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,5,+,2,4,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,5,-,2,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,5,+,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,5,-,2,4,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,5,-,2,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,5,+,2,6,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,5,+,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,5,-,2,6,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,5,-,2,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,5,+,+,2,+]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,5,+,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,5,-,+,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,5,+,-,2,+]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,5,+,+,2,-]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [-,5,-,+,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,5,+,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,5,+,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [+,5,-,-,2,+]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,5,-,+,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [+,5,+,-,2,-]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [-,5,-,-,2,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,5,-,+,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [-,5,+,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [+,5,-,-,2,-]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [-,5,-,-,2,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [+,5,+,+,6,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,5,+,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,5,-,+,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,5,+,-,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,5,-,+,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,5,+,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,5,-,-,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,5,-,-,6,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,5,+,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,5,+,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,5,-,6,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,-,6,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,+,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,5,+,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,5,-,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,-,6,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,4,2,3,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,4,2,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,4,2,3,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,5,4,2,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,5,4,2,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,5,4,2,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,5,4,3,2,+]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,4,3,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,4,3,2,-]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [-,5,4,3,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [+,5,4,3,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,5,4,3,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,5,4,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,4,6,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,4,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,4,6,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,6,2,3,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,2,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,2,4,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,2,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,3,2,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,3,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,3,4,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,3,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,+,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,+,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,-,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,6,-,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,5,6,+,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,5,6,+,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,5,6,-,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,5,6,-,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,2,3,4,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,2,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,2,3,+,4]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,2,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,2,3,-,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,6,2,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,6,2,+,3,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,2,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,2,-,3,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,2,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,2,+,+,3]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,2,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,2,-,+,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,6,2,+,-,3]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,6,2,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,6,2,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,6,2,-,-,3]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,6,2,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,6,2,5,3,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,2,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,2,5,4,3]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,2,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,+,2,4,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,+,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,-,2,4,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,-,2,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,+,2,+,4]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,+,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,-,2,+,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,6,+,2,-,4]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,6,-,2,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,6,+,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,6,-,2,-,4]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,6,-,2,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,6,+,+,2,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,+,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,-,+,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,6,+,-,2,5]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,-,+,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,6,+,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,-,-,2,5]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,-,-,2,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,+,+,+,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [-,6,+,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [+,6,-,+,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [+,6,+,-,+,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [+,6,+,+,-,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}} [-,6,-,+,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [-,6,+,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [-,6,+,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [+,6,-,-,+,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [+,6,-,+,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [+,6,+,-,-,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [-,6,-,-,+,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [-,6,-,+,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [-,6,+,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [+,6,-,-,-,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [-,6,-,-,-,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [+,6,+,5,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,+,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,-,5,2,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,-,5,2,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,+,5,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [-,6,+,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [+,6,-,5,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,-,5,4,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,4,2,3,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,4,2,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,4,2,+,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,4,2,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,4,2,-,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,6,4,2,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,6,4,3,2,5]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,4,3,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,4,3,+,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,4,3,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,4,3,-,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [-,6,4,3,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [+,6,4,5,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,4,5,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,4,5,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,4,5,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,5,2,3,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,2,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,2,4,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,2,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,3,2,4]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,3,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,3,4,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,3,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,+,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,+,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,-,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,5,-,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [+,6,5,+,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}} [-,6,5,+,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [+,6,5,-,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [-,6,5,-,3,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,1,+,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [2,1,-,+,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,+,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [2,1,+,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [2,1,+,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [2,1,-,-,+,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,-,+,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,-,+,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [2,1,+,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [2,1,+,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [2,1,+,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [2,1,-,-,-,+]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,-,-,+,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [2,1,-,+,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [2,1,+,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [2,1,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [2,1,+,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [2,1,-,+,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,+,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [2,1,-,-,6,5]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,+,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [2,1,-,5,4,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,+,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [2,1,-,5,4,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [2,1,+,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [2,1,-,5,6,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,+,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [2,1,-,6,4,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,+,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [2,1,-,6,+,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,+,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [2,1,-,6,-,4]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,4,3,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,4,3,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,4,3,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [2,1,4,3,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,4,5,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,4,5,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [2,1,4,5,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,4,6,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,4,6,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,4,6,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,5,3,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,5,3,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [2,1,5,3,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,5,+,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,5,-,3,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,5,+,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [2,1,5,-,3,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [2,1,5,+,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,5,-,6,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,5,6,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,5,6,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,6,3,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,6,3,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,6,3,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,6,+,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,6,-,3,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,6,+,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [2,1,6,-,+,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,6,+,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [2,1,6,-,-,3]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [2,1,6,5,3,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,1,6,5,4,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [2,3,1,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,3,1,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,3,1,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,3,1,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,3,1,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,3,1,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,3,1,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [2,3,1,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [2,3,1,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,3,1,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,3,1,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,3,1,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,3,1,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,3,1,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,3,1,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,3,1,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,3,4,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,4,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,4,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,3,4,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [2,3,4,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,4,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,4,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,3,4,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,4,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,4,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,3,5,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,5,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,3,5,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,5,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,5,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,5,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,3,5,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [2,3,5,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,5,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,3,5,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,5,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,6,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,6,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,6,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,6,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,6,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,6,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,3,6,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,6,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,3,6,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,3,6,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,3,6,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,1,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,4,1,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,4,1,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,4,1,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [2,4,1,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,4,1,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,1,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,4,1,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,4,1,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,1,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,1,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,4,+,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,4,-,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,+,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,4,+,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,4,-,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,-,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,4,+,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [2,4,-,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [2,4,+,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,4,-,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,+,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,-,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,+,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,4,-,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [2,4,+,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,4,-,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,4,+,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,-,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,+,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,4,-,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,+,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,4,-,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,4,5,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,5,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,4,5,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,5,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,5,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,4,5,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,5,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,5,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,6,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,6,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,6,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,6,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,4,6,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,4,6,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,4,6,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,1,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,5,1,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,5,1,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,5,1,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,5,1,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,1,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,5,1,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,5,1,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,5,1,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,5,1,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,1,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,+,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,5,-,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,+,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,5,-,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,5,+,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,5,-,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,5,+,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,5,-,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,+,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,+,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [2,5,-,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,-,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,5,+,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [2,5,-,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [2,5,+,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,5,-,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,5,+,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,5,-,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,5,+,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,-,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,+,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,5,-,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,4,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,4,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,5,4,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,5,4,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,4,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [2,5,4,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,5,4,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,4,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,6,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,5,6,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,5,6,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,1,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,1,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,1,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,6,1,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,1,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,1,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,1,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,1,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,6,1,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,6,1,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,1,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,+,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,-,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,+,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,-,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,+,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,6,-,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,6,+,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,-,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,+,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,-,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,+,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [2,6,-,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,+,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,+,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [2,6,-,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,-,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,6,+,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [2,6,-,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [2,6,+,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,-,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,+,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [2,6,-,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,4,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,4,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,4,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,6,4,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,4,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,4,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [2,6,4,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,4,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,5,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [2,6,5,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [2,6,5,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,1,2,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [3,1,2,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,1,2,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [3,1,2,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [3,1,2,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,1,2,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [3,1,2,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [3,1,2,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [3,1,2,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [3,1,2,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,1,2,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,1,2,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [3,1,2,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,1,2,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,1,2,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,1,2,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,1,4,2,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,4,2,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,4,2,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,1,4,2,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [3,1,4,2,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,4,5,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,4,5,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,1,4,6,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,4,6,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,4,6,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,1,5,2,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,5,2,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,1,5,2,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,5,+,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,5,-,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,5,+,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,1,5,-,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [3,1,5,+,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,5,-,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,1,5,6,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,5,6,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,6,2,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,6,2,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,6,2,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,6,+,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,6,-,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,6,+,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,1,6,-,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,6,+,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,1,6,-,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,1,6,5,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,1,6,5,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,+,1,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [3,-,1,+,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,+,1,-,+,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,+,1,+,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [3,+,1,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [3,-,1,-,+,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,-,1,+,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,-,1,+,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,+,1,-,-,+]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,+,1,-,+,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [3,+,1,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [3,-,1,-,-,+]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,-,1,-,+,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,-,1,+,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [3,+,1,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [3,-,1,-,-,-]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [3,+,1,+,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [3,-,1,+,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,+,1,-,6,5]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,-,1,-,6,5]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,+,1,5,4,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,-,1,5,4,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,+,1,5,4,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [3,-,1,5,4,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,+,1,5,6,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,-,1,5,6,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,+,1,6,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,-,1,6,4,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,+,1,6,+,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [3,-,1,6,+,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,+,1,6,-,4]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [3,-,1,6,-,4]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,+,4,1,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,4,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,4,1,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,+,4,1,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,-,4,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,-,4,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,+,4,1,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [3,-,4,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [3,+,4,1,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,-,4,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,+,4,5,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,4,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,4,5,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [3,-,4,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [3,+,4,5,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,-,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [3,+,4,6,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,4,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,4,6,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,4,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,4,6,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,-,4,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [3,+,5,1,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,5,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,5,1,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,-,5,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,+,5,1,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,-,5,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,+,5,+,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,5,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,5,-,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,+,5,+,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [3,-,5,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,-,5,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,+,5,-,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [3,-,5,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [3,+,5,+,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,-,5,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,+,5,-,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,-,5,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [3,+,5,6,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,5,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,5,6,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,5,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,6,1,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,6,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,6,1,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,6,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,6,1,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,-,6,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,+,6,+,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,6,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,6,-,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,6,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,6,+,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [3,-,6,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,+,6,-,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,+,6,+,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [3,-,6,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,-,6,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,+,6,-,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [3,-,6,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [3,+,6,5,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,6,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,+,6,5,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [3,-,6,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,4,1,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,4,1,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,4,1,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [3,4,1,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,4,1,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,1,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,4,1,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,1,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,1,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,4,2,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,4,2,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,4,2,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,4,2,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [3,4,2,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,4,2,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,2,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,4,2,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,4,2,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,2,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,4,2,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,4,5,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,5,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,4,5,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,5,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,4,5,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,4,5,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,4,6,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,6,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,6,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,4,6,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,6,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,4,6,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,4,6,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,4,6,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,5,1,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,5,1,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,5,1,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,5,1,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,5,1,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,1,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,5,1,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,5,1,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,5,1,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,5,1,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,1,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,2,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,5,2,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,5,2,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,5,2,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,5,2,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,2,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [3,5,2,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [3,5,2,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,5,2,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,5,2,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,2,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,5,4,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,4,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,5,4,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,5,4,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,4,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [3,5,4,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,5,4,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,5,4,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,5,6,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,5,6,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,5,6,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,6,1,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,1,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,1,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,6,1,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,1,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,1,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,1,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,1,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,6,1,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,6,1,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,1,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,2,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,2,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,2,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,6,2,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,2,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,2,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [3,6,2,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,2,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [3,6,2,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [3,6,2,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,2,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [3,6,4,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,4,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,4,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,6,4,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,4,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,4,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [3,6,4,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,6,4,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,6,5,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [3,6,5,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [3,6,5,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,1,2,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [4,1,2,3,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,1,2,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [4,1,2,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [4,1,2,3,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,1,2,5,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,2,5,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,1,2,6,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,2,6,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,2,6,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,1,+,2,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [4,1,-,2,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,+,2,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,1,+,2,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [4,1,-,2,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,-,2,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,1,+,2,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [4,1,-,2,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [4,1,+,2,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,1,-,2,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,+,5,2,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,-,5,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,+,5,2,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [4,1,-,5,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [4,1,+,5,6,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,1,-,5,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [4,1,+,6,2,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,-,6,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,+,6,+,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,1,-,6,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,+,6,-,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,1,-,6,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [4,1,5,2,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,5,2,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,5,3,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,5,3,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,1,5,3,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,5,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,6,2,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,6,2,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,6,2,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,6,3,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,6,3,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,1,6,3,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,1,6,5,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,1,6,5,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,+,1,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [4,-,1,3,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,+,1,3,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,+,1,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [4,-,1,3,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,-,1,3,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,+,1,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [4,-,1,3,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [4,+,1,3,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,-,1,3,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,+,1,5,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,1,5,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,1,5,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [4,-,1,5,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [4,+,1,5,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,-,1,5,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,+,1,6,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,1,6,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,1,6,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,1,6,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,1,6,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,-,1,6,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,+,+,1,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [4,-,+,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,+,-,1,+,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,+,+,1,-,+]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,+,+,1,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [4,-,-,1,+,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,-,+,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,-,+,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,+,-,1,-,+]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,+,-,1,+,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,+,+,1,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [4,-,-,1,-,+]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,-,-,1,+,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,-,+,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [4,+,-,1,-,-]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [4,-,-,1,-,-]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [4,+,+,1,6,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [4,-,+,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,+,-,1,6,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,-,-,1,6,5]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,+,+,5,1,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,+,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,-,5,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,+,+,5,1,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [4,-,-,5,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,-,+,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [4,+,-,5,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [4,-,-,5,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [4,+,+,5,6,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,-,+,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,+,-,5,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [4,-,-,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [4,+,+,6,1,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,+,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,-,6,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,-,-,6,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,+,+,6,+,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [4,-,+,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,+,-,6,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,+,+,6,-,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [4,-,-,6,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,-,+,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,+,-,6,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [4,-,-,6,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [4,+,5,1,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,5,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,5,1,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,-,5,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,+,5,1,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,-,5,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,+,5,3,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,5,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,5,3,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [4,-,5,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,+,5,3,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,-,5,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,+,5,6,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,-,5,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,+,5,6,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,-,5,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,+,6,1,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,6,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,6,1,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,6,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,6,1,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,-,6,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,+,6,3,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,6,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,6,3,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [4,-,6,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,+,6,3,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [4,-,6,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,+,6,5,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,-,6,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,+,6,5,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [4,-,6,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,3,1,2,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,3,1,2,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,3,1,2,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,3,1,2,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [4,3,1,2,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,3,1,5,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,1,5,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [4,3,1,5,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,3,1,6,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,1,6,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,1,6,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,3,2,1,+,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,3,2,1,-,+]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,3,2,1,+,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,3,2,1,-,-]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [4,3,2,1,6,5]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,3,2,5,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,2,5,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [4,3,2,5,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,3,2,6,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,2,6,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,3,2,6,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [4,3,5,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,5,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,3,5,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,3,5,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,5,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,3,5,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,3,5,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,3,5,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,3,6,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,6,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,6,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,3,6,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,6,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,3,6,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,3,6,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,3,6,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,5,1,2,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,1,2,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,1,3,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,1,3,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,1,3,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,1,6,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,2,1,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,2,1,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,2,1,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,2,3,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,2,3,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,2,3,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,2,6,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,2,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,+,1,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,-,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,+,1,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,-,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,5,+,1,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,-,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,5,+,2,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,5,-,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,+,2,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [4,5,-,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [4,5,+,2,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,5,-,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,5,+,6,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,-,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,5,+,6,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,5,-,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,6,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,6,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,6,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,6,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,5,6,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,1,2,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,1,2,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,1,2,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,1,3,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,1,3,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,1,3,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,1,5,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,1,5,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,2,1,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,2,1,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,2,1,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,2,3,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,2,3,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,2,3,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,2,5,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,2,5,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,+,1,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,-,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,+,1,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,-,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,+,1,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,-,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,6,+,2,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,-,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,+,2,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [4,6,-,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,+,2,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [4,6,-,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [4,6,+,5,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,-,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,6,+,5,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [4,6,-,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [4,6,5,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,5,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,5,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,5,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,5,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [4,6,5,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,1,2,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,1,2,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,1,2,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,1,2,-,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,2,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,1,2,-,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [5,1,2,+,6,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,1,2,-,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,2,6,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,+,2,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,1,-,2,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,+,2,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,1,-,2,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,1,+,2,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,1,-,2,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,1,+,+,2,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,1,-,+,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,+,-,2,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,+,+,2,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,1,-,-,2,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,-,+,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,1,+,-,2,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [5,1,-,-,2,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [5,1,+,+,6,2]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,1,-,+,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,1,+,-,6,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [5,1,-,-,6,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [5,1,+,6,2,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,-,6,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,+,6,4,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,1,-,6,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,4,2,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,4,2,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,1,4,2,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,1,4,3,2,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,4,3,2,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,1,4,3,6,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,1,4,6,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,4,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,2,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,3,2,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,3,4,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,+,2,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,-,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,1,6,+,3,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,1,6,-,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,+,1,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,-,1,3,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,+,1,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,-,1,3,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,+,1,3,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,-,1,3,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,+,1,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,-,1,+,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,+,1,-,3,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,+,1,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,-,1,-,3,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,-,1,+,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,+,1,-,3,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [5,-,1,-,3,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [5,+,1,+,6,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,-,1,+,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,+,1,-,6,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [5,-,1,-,6,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [5,+,1,6,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,-,1,6,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,+,1,6,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,-,1,6,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,+,+,1,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,-,+,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,+,-,1,4,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,+,+,1,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,-,-,1,4,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,-,+,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,+,-,1,4,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,-,-,1,4,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,+,+,1,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,-,+,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,+,-,1,6,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,-,-,1,6,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,+,+,+,1,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [5,-,+,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,+,-,+,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,+,+,-,1,+]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,+,+,+,1,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [5,-,-,+,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,-,+,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,-,+,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,+,-,-,1,+]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,+,-,+,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,+,+,-,1,-]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}} [5,-,-,-,1,+]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,-,-,+,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,-,+,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [5,+,-,-,1,-]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [5,-,-,-,1,-]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [5,+,+,+,6,1]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [5,-,+,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,+,-,+,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,+,+,-,6,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [5,-,-,+,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,-,+,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [5,+,-,-,6,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [5,-,-,-,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [5,+,+,6,1,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,-,+,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,+,-,6,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,-,6,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,+,+,6,4,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [5,-,+,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,+,-,6,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,-,6,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,+,4,1,3,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,4,1,3,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,4,1,3,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,-,4,1,3,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,+,4,1,6,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,-,4,1,6,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,+,4,3,1,+]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,4,3,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,4,3,1,-]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [5,-,4,3,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,+,4,3,6,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [5,-,4,3,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,+,4,6,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,4,6,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,+,4,6,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,4,6,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,+,6,1,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,1,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,3,1,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,3,4,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,+,1,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,-,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,6,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,+,6,+,3,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [5,-,6,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,+,6,-,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [5,-,6,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,3,1,2,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,3,1,2,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,3,1,2,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,3,1,+,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,3,1,-,2,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,1,+,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,3,1,-,2,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [5,3,1,+,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,3,1,-,6,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [5,3,1,6,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,1,6,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,2,1,4,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,3,2,1,4,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,3,2,1,6,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,3,2,+,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,3,2,-,1,+]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,2,+,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,3,2,-,1,-]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [5,3,2,+,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,3,2,-,6,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [5,3,2,6,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,2,6,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,3,4,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,4,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,3,4,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,3,4,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,4,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,3,4,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,3,4,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,3,4,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,3,6,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,3,6,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,3,6,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,4,1,2,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,1,2,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,1,2,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,1,3,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,1,3,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,1,3,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,1,6,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,1,6,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,2,1,3,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,2,1,3,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,2,1,6,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,2,3,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,2,3,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,2,3,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,2,6,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,2,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,+,1,2,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,-,1,2,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,+,1,2,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,-,1,2,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,4,+,1,6,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,-,1,6,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,4,+,2,1,+]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,4,-,2,1,+]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,+,2,1,-]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}} [5,4,-,2,1,-]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [5,4,+,2,6,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [5,4,-,2,6,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [5,4,+,6,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,-,6,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,4,+,6,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,4,-,6,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,4,6,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,6,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,6,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,6,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,6,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,4,6,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,2,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,3,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,3,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,+,2,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,-,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,1,+,3,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,1,-,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,2,1,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,1,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,3,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,3,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,+,1,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,-,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,2,+,3,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,2,-,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,+,1,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,1,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,2,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,2,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,+,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,-,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,-,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,6,+,+,2,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [5,6,-,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,+,-,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [5,6,-,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [5,6,4,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,4,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,4,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,4,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,4,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [5,6,4,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,2,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,2,3,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,1,2,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,2,-,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,2,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,2,-,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,2,+,-,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,1,2,-,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [6,1,2,5,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,2,5,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,+,2,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,-,2,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,+,2,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,-,2,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,+,2,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,1,-,2,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,1,+,+,2,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,-,+,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,+,-,2,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,-,-,2,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,+,+,+,2]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,1,-,+,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,+,-,+,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,+,+,-,2]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,1,-,-,+,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,-,+,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,1,+,-,-,2]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [6,1,-,-,-,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [6,1,+,5,2,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,-,5,2,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,+,5,4,2]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,1,-,5,4,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,4,2,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,4,2,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,4,2,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,1,4,3,2,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,4,3,+,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,4,3,-,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,1,4,5,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,4,5,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,5,2,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,2,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,3,2,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,3,4,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,+,2,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,-,2,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,1,5,+,3,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,1,5,-,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,+,1,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,1,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,1,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,1,3,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,1,3,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,-,1,3,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,+,1,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,1,+,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,1,-,3,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,1,-,3,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,1,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,1,+,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,1,-,+,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,+,1,+,-,3]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,-,1,-,+,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,-,1,+,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,+,1,-,-,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [6,-,1,-,-,3]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [6,+,1,5,3,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,1,5,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,1,5,4,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,1,5,4,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,+,1,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,+,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,-,1,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,-,1,4,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,+,1,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,+,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,-,1,+,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,+,+,1,-,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,-,-,1,+,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,-,+,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,+,-,1,-,4]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,-,-,1,-,4]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,+,+,+,1,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,+,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,-,+,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,+,+,-,1,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,-,+,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,-,+,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,-,-,1,5]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,-,-,1,5]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,+,+,+,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [6,-,+,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,+,-,+,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,+,+,-,+,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,+,+,+,-,1]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}} [6,-,-,+,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,-,+,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,-,+,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,+,-,-,+,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,+,-,+,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,+,+,-,-,1]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}} [6,-,-,-,+,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,-,-,+,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,-,+,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [6,+,-,-,-,1]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [6,-,-,-,-,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [6,+,+,5,1,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,+,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,-,5,1,4]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,-,5,1,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,+,5,4,1]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}} [6,-,+,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,+,-,5,4,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,-,5,4,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,4,1,3,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,4,1,3,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,4,1,+,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,4,1,+,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,4,1,-,3]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,-,4,1,-,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,+,4,3,1,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,4,3,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,4,3,+,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,4,3,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,4,3,-,1]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [6,-,4,3,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,+,4,5,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,4,5,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,4,5,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,4,5,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,5,1,3,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,1,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,1,4,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,1,4,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,3,1,4]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,3,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,3,4,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,3,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,+,1,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,+,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,-,1,3]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,5,-,1,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,+,5,+,3,1]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}} [6,-,5,+,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,+,5,-,3,1]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [6,-,5,-,3,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,3,1,2,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,1,2,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,1,2,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,3,1,+,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,1,-,2,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,1,+,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,1,-,+,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,1,+,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,3,1,-,-,2]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [6,3,1,5,2,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,1,5,4,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,2,1,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,2,1,+,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,2,1,-,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,3,2,+,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,2,-,1,5]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,2,+,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,3,2,-,+,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,2,+,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,3,2,-,-,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [6,3,2,5,1,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,2,5,4,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,3,4,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,4,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,4,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,3,4,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,4,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,4,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,3,4,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,3,4,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,3,5,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,3,5,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,3,5,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,4,1,2,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,1,2,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,1,2,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,1,3,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,1,3,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,1,3,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,1,5,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,1,5,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,2,1,3,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,2,1,+,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,2,1,-,3]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,2,3,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,2,3,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,2,3,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,2,5,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,2,5,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,+,1,2,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,-,1,2,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,+,1,+,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,-,1,+,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,+,1,-,2]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,-,1,-,2]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,4,+,2,1,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,-,2,1,5]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,+,2,+,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,4,-,2,+,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,+,2,-,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}} [6,4,-,2,-,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [6,4,+,5,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,-,5,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,4,+,5,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,4,-,5,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,4,5,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,5,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,5,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,5,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,5,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,4,5,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,1,2,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,2,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,3,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,3,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,+,2,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,-,2,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,1,+,3,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,1,-,3,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,2,1,3,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,1,4,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,3,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,3,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,+,1,3]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,-,1,3]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,2,+,3,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,2,-,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,+,1,2,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,1,2,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,1,4,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,1,4,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,2,1,4]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,2,1,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,2,4,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,2,4,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,+,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,+,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,-,1,2]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,-,-,1,2]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,5,+,+,2,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}} [6,5,-,+,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,+,-,2,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [6,5,-,-,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [6,5,4,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,4,1,3,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,4,2,1,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,4,2,3,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,4,3,1,2]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}} [6,5,4,3,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}}
Map
upper permutation
Description
The upper bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].