Identifier
Mp00081: reading word permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00151: Permutations to cycle type
Images
=>
Cc0007;cc-rep-0Cc0009;cc-rep-3
[[1]]=>[1]=>[1]=>{{1}} [[1,2]]=>[1,2]=>[1,2]=>{{1},{2}} [[1],[2]]=>[2,1]=>[2,1]=>{{1,2}} [[1,2,3]]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [[1,3],[2]]=>[2,1,3]=>[2,1,3]=>{{1,2},{3}} [[1,2],[3]]=>[3,1,2]=>[2,3,1]=>{{1,2,3}} [[1],[2],[3]]=>[3,2,1]=>[3,1,2]=>{{1,2,3}} [[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}} [[1,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>{{1,2,3},{4}} [[1,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>{{1,2,3,4}} [[1,3],[2,4]]=>[2,4,1,3]=>[3,2,4,1]=>{{1,3,4},{2}} [[1,2],[3,4]]=>[3,4,1,2]=>[2,4,3,1]=>{{1,2,4},{3}} [[1,4],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]=>{{1,2,3},{4}} [[1,3],[2],[4]]=>[4,2,1,3]=>[3,1,4,2]=>{{1,2,3,4}} [[1,2],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]=>{{1,2,3,4}} [[1],[2],[3],[4]]=>[4,3,2,1]=>[4,1,2,3]=>{{1,2,3,4}} [[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [[1,3,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [[1,2,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}} [[1,2,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>{{1,2,3,4},{5}} [[1,2,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>{{1,2,3,4,5}} [[1,3,5],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}} [[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}} [[1,3,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>{{1,3,4,5},{2}} [[1,2,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>{{1,2,4,5},{3}} [[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>{{1,2,3,5},{4}} [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>{{1,2,3,4},{5}} [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>{{1,2,3,4},{5}} [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>{{1,2,3,4,5}} [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>{{1,2,3,4,5}} [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>{{1,2,3,4,5}} [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[4,3,2,5,1]=>{{1,4,5},{2,3}} [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>{{1,3,5},{2,4}} [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>{{1,2,5},{3,4}} [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]=>{{1,2,3,4,5}} [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>{{1,2,3,4,5}} [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]=>{{1,2,3,4,5}} [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]=>{{1,2,3,4,5}} [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]=>{{1,2,3,4,5}} [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}} [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}} [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}} [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}} [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}} [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}} [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}} [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}} [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}} [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}} [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}} [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}} [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}} [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}} [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}} [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}} [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}} [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}} [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>{{1,2,3,4,5,6}} [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>{{1,2,3,4,5,6}} [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}} [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}} [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}} [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}} [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}} [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}} [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}} [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}} [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}} [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}} [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}} [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}} [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}} [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}} [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}} [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}} [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}} [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}} [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[3,4,5,1,6,2]=>{{1,2,3,4,5,6}} [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>{{1,2,3,4,5,6}} [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[3,5,4,6,1,2]=>{{1,2,3,4,5,6}} [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[2,4,5,6,1,3]=>{{1,2,3,4,5,6}} [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>{{1,2,3,4,5,6}} [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}} [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}} [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}} [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]=>{{1,2,3,4,5,6}} [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}} [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}} [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}} [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}} [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}} [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[4,5,3,6,1,2]=>{{1,2,4,5,6},{3}} [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,5,6,4,1,2]=>{{1,2,3,5,6},{4}} [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,6,5,4,1,3]=>{{1,2,3,5,6},{4}} [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[3,4,6,1,5,2]=>{{1,2,3,4,6},{5}} [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>{{1,2,3,4,6},{5}} [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[5,4,2,3,6,1]=>{{1,5,6},{2,3,4}} [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[4,5,2,6,3,1]=>{{1,4,6},{2,3,5}} [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[3,5,6,2,4,1]=>{{1,3,6},{2,4,5}} [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>{{1,2,6},{3,4,5}} [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[4,5,2,6,1,3]=>{{1,2,3,4,5,6}} [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[3,5,6,2,1,4]=>{{1,2,3,4,5,6}} [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>{{1,2,3,4,5,6}} [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}} [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]=>{{1,2,3,4,5,6}} [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]=>{{1,2,3,4,5,6}} [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[4,1,2,6,3,5]=>{{1,2,3,4,5,6}} [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}} [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}} [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}} [[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}} [[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} [[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}} [[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}} [[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}} [[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}} [[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}} [[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}} [[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}} [[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}} [[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}} [[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}} [[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}} [[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}} [[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}} [[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}} [[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}} [[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}} [[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} [[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[2,4,1,5,3,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[2,3,5,1,4,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>{{1,2,3,4,5,6},{7}} [[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[2,4,1,5,6,3,7]=>{{1,2,3,4,5,6},{7}} [[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[2,3,5,1,6,4,7]=>{{1,2,3,4,5,6},{7}} [[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,5,6},{7}} [[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>{{1,2,3,4,5,6,7}} [[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[2,4,1,5,6,7,3]=>{{1,2,3,4,5,6,7}} [[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[2,3,5,1,6,7,4]=>{{1,2,3,4,5,6,7}} [[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,5,6,7}} [[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,6,7}} [[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}} [[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}} [[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}} [[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}} [[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}} [[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}} [[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}} [[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}} [[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}} [[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}} [[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}} [[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}} [[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}} [[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}} [[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}} [[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}} [[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}} [[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[3,4,5,1,2,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}} [[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}} [[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}} [[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}} [[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}} [[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}} [[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[3,4,5,1,6,2,7]=>{{1,2,3,4,5,6},{7}} [[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[2,5,4,1,6,3,7]=>{{1,2,3,4,5,6},{7}} [[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[3,5,4,6,1,2,7]=>{{1,2,3,4,5,6},{7}} [[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[2,4,5,6,1,3,7]=>{{1,2,3,4,5,6},{7}} [[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[2,3,6,5,1,4,7]=>{{1,2,3,4,5,6},{7}} [[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}} [[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}} [[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}} [[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}} [[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}} [[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}} [[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}} [[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}} [[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}} [[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}} [[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[3,4,5,1,6,7,2]=>{{1,2,3,4,5,6,7}} [[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[2,5,4,1,6,7,3]=>{{1,2,3,4,5,6,7}} [[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[3,5,4,6,1,7,2]=>{{1,2,3,4,5,6,7}} [[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[2,4,5,6,1,7,3]=>{{1,2,3,4,5,6,7}} [[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[2,3,6,5,1,7,4]=>{{1,2,3,4,5,6,7}} [[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[3,6,4,5,7,1,2]=>{{1,2,3,4,5,6,7}} [[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[2,4,6,5,7,1,3]=>{{1,2,3,4,5,6,7}} [[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[2,3,5,6,7,1,4]=>{{1,2,3,4,5,6,7}} [[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[2,3,4,7,6,1,5]=>{{1,2,3,4,5,6,7}} [[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[4,1,2,5,3,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[3,1,5,2,4,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[2,5,1,3,4,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[4,1,2,5,6,3,7]=>{{1,2,3,4,5,6},{7}} [[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[3,1,5,2,6,4,7]=>{{1,2,3,4,5,6},{7}} [[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[2,5,1,3,6,4,7]=>{{1,2,3,4,5,6},{7}} [[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[3,1,4,6,2,5,7]=>{{1,2,3,4,5,6},{7}} [[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[2,4,1,6,3,5,7]=>{{1,2,3,4,5,6},{7}} [[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[2,3,6,1,4,5,7]=>{{1,2,3,4,5,6},{7}} [[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[4,1,2,5,6,7,3]=>{{1,2,3,4,5,6,7}} [[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[3,1,5,2,6,7,4]=>{{1,2,3,4,5,6,7}} [[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[2,5,1,3,6,7,4]=>{{1,2,3,4,5,6,7}} [[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[3,1,4,6,2,7,5]=>{{1,2,3,4,5,6,7}} [[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[2,4,1,6,3,7,5]=>{{1,2,3,4,5,6,7}} [[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[2,3,6,1,4,7,5]=>{{1,2,3,4,5,6,7}} [[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[3,1,4,5,7,2,6]=>{{1,2,3,4,5,6,7}} [[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[2,4,1,5,7,3,6]=>{{1,2,3,4,5,6,7}} [[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[2,3,5,1,7,4,6]=>{{1,2,3,4,5,6,7}} [[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,5,6,7}} [[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}} [[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}} [[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}} [[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}} [[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}} [[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}} [[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}} [[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}} [[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}} [[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}} [[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}} [[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}} [[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}} [[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}} [[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}} [[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}} [[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[3,4,5,6,7,1,2]=>{{1,2,3,4,5,6,7}} [[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[2,5,4,6,7,1,3]=>{{1,2,3,4,5,6,7}} [[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[3,5,4,7,6,1,2]=>{{1,2,3,4,5,6,7}} [[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[2,4,5,7,6,1,3]=>{{1,2,3,4,5,6,7}} [[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[2,3,7,5,6,1,4]=>{{1,2,3,4,5,6,7}} [[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[4,5,3,6,1,2,7]=>{{1,2,4,5,6},{3},{7}} [[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[3,5,6,4,1,2,7]=>{{1,2,3,5,6},{4},{7}} [[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,6,5,4,1,3,7]=>{{1,2,3,5,6},{4},{7}} [[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[3,4,6,1,5,2,7]=>{{1,2,3,4,6},{5},{7}} [[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[2,6,4,1,5,3,7]=>{{1,2,3,4,6},{5},{7}} [[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[4,5,3,6,1,7,2]=>{{1,2,4,5,6,7},{3}} [[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[3,5,6,4,1,7,2]=>{{1,2,3,5,6,7},{4}} [[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,6,5,4,1,7,3]=>{{1,2,3,5,6,7},{4}} [[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[3,4,6,1,5,7,2]=>{{1,2,3,4,6,7},{5}} [[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[2,6,4,1,5,7,3]=>{{1,2,3,4,6,7},{5}} [[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[4,6,3,5,7,1,2]=>{{1,2,4,5,6,7},{3}} [[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[3,6,5,4,7,1,2]=>{{1,2,3,5,6,7},{4}} [[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[2,5,6,4,7,1,3]=>{{1,2,3,5,6,7},{4}} [[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[3,6,4,7,5,1,2]=>{{1,2,3,4,6,7},{5}} [[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[2,4,6,7,5,1,3]=>{{1,2,3,4,6,7},{5}} [[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[2,3,7,6,5,1,4]=>{{1,2,3,4,6,7},{5}} [[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[3,4,5,1,7,6,2]=>{{1,2,3,4,5,7},{6}} [[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[2,5,4,1,7,6,3]=>{{1,2,3,4,5,7},{6}} [[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[3,5,4,7,1,6,2]=>{{1,2,3,4,5,7},{6}} [[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[2,4,5,7,1,6,3]=>{{1,2,3,4,5,7},{6}} [[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[2,3,7,5,1,6,4]=>{{1,2,3,4,5,7},{6}} [[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[5,4,2,3,6,1,7]=>{{1,5,6},{2,3,4},{7}} [[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[4,5,2,6,3,1,7]=>{{1,4,6},{2,3,5},{7}} [[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[3,5,6,2,4,1,7]=>{{1,3,6},{2,4,5},{7}} [[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[2,6,5,3,4,1,7]=>{{1,2,6},{3,4,5},{7}} [[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[4,5,2,6,1,3,7]=>{{1,2,3,4,5,6},{7}} [[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[3,5,6,2,1,4,7]=>{{1,2,3,4,5,6},{7}} [[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[2,6,5,3,1,4,7]=>{{1,2,3,4,5,6},{7}} [[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[3,4,6,1,2,5,7]=>{{1,2,3,4,5,6},{7}} [[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[2,6,4,1,3,5,7]=>{{1,2,3,4,5,6},{7}} [[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,3,4}} [[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,3,5}} [[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,4,5}} [[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,4,5}} [[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,3,6}} [[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,4,6}} [[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,4,6}} [[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,5,6}} [[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,5,6}} [[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,5,6}} [[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[4,5,2,6,1,7,3]=>{{1,2,3,4,5,6,7}} [[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[3,5,6,2,1,7,4]=>{{1,2,3,4,5,6,7}} [[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[2,6,5,3,1,7,4]=>{{1,2,3,4,5,6,7}} [[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[3,4,6,1,2,7,5]=>{{1,2,3,4,5,6,7}} [[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[2,6,4,1,3,7,5]=>{{1,2,3,4,5,6,7}} [[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[4,6,2,5,7,1,3]=>{{1,2,3,4,5,6,7}} [[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[3,6,5,2,7,1,4]=>{{1,2,3,4,5,6,7}} [[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[2,5,6,3,7,1,4]=>{{1,2,3,4,5,6,7}} [[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[3,6,4,7,2,1,5]=>{{1,2,3,4,5,6,7}} [[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[2,4,6,7,3,1,5]=>{{1,2,3,4,5,6,7}} [[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[2,3,7,6,4,1,5]=>{{1,2,3,4,5,6,7}} [[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[3,4,5,1,7,2,6]=>{{1,2,3,4,5,6,7}} [[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[2,5,4,1,7,3,6]=>{{1,2,3,4,5,6,7}} [[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[3,5,4,7,1,2,6]=>{{1,2,3,4,5,6,7}} [[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[2,4,5,7,1,3,6]=>{{1,2,3,4,5,6,7}} [[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[2,3,7,5,1,4,6]=>{{1,2,3,4,5,6,7}} [[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}} [[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[5,1,2,3,6,4,7]=>{{1,2,3,4,5,6},{7}} [[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[4,1,2,6,3,5,7]=>{{1,2,3,4,5,6},{7}} [[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[3,1,6,2,4,5,7]=>{{1,2,3,4,5,6},{7}} [[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[2,6,1,3,4,5,7]=>{{1,2,3,4,5,6},{7}} [[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[5,1,2,3,6,7,4]=>{{1,2,3,4,5,6,7}} [[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[4,1,2,6,3,7,5]=>{{1,2,3,4,5,6,7}} [[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[3,1,6,2,4,7,5]=>{{1,2,3,4,5,6,7}} [[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[2,6,1,3,4,7,5]=>{{1,2,3,4,5,6,7}} [[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[4,1,2,5,7,3,6]=>{{1,2,3,4,5,6,7}} [[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[3,1,5,2,7,4,6]=>{{1,2,3,4,5,6,7}} [[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[2,5,1,3,7,4,6]=>{{1,2,3,4,5,6,7}} [[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[3,1,4,7,2,5,6]=>{{1,2,3,4,5,6,7}} [[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[2,4,1,7,3,5,6]=>{{1,2,3,4,5,6,7}} [[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[2,3,7,1,4,5,6]=>{{1,2,3,4,5,6,7}} [[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[5,6,4,3,7,1,2]=>{{1,2,5,6,7},{3,4}} [[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[4,6,5,7,3,1,2]=>{{1,2,4,6,7},{3,5}} [[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[3,6,7,5,4,1,2]=>{{1,2,3,6,7},{4,5}} [[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[2,7,6,5,4,1,3]=>{{1,2,3,6,7},{4,5}} [[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[4,5,6,7,1,3,2]=>{{1,2,4,5,7},{3,6}} [[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[3,5,7,6,1,4,2]=>{{1,2,3,5,7},{4,6}} [[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[2,7,5,6,1,4,3]=>{{1,2,3,5,7},{4,6}} [[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[3,4,7,1,6,5,2]=>{{1,2,3,4,7},{5,6}} [[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[2,7,4,1,6,5,3]=>{{1,2,3,4,7},{5,6}} [[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[4,5,6,7,1,2,3]=>{{1,2,3,4,5,6,7}} [[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[3,5,7,6,1,2,4]=>{{1,2,3,4,5,6,7}} [[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[2,7,5,6,1,3,4]=>{{1,2,3,4,5,6,7}} [[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[3,4,7,1,6,2,5]=>{{1,2,3,4,5,6,7}} [[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[2,7,4,1,6,3,5]=>{{1,2,3,4,5,6,7}} [[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[6,5,2,3,4,7,1]=>{{1,6,7},{2,3,4,5}} [[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[5,6,2,3,7,4,1]=>{{1,5,7},{2,3,4,6}} [[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[4,6,2,7,3,5,1]=>{{1,4,7},{2,3,5,6}} [[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[3,6,7,2,4,5,1]=>{{1,3,7},{2,4,5,6}} [[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[2,7,6,3,4,5,1]=>{{1,2,7},{3,4,5,6}} [[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[5,6,2,3,7,1,4]=>{{1,2,3,4,5,6,7}} [[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[4,6,2,7,3,1,5]=>{{1,2,3,4,5,6,7}} [[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[3,6,7,2,4,1,5]=>{{1,2,3,4,5,6,7}} [[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[2,7,6,3,4,1,5]=>{{1,2,3,4,5,6,7}} [[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[4,5,2,7,1,3,6]=>{{1,2,3,4,5,6,7}} [[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[3,5,7,2,1,4,6]=>{{1,2,3,4,5,6,7}} [[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[2,7,5,3,1,4,6]=>{{1,2,3,4,5,6,7}} [[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[3,4,7,1,2,5,6]=>{{1,2,3,4,5,6,7}} [[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[2,7,4,1,3,5,6]=>{{1,2,3,4,5,6,7}} [[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}} [[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>{{1,2,3,4,5,6,7}} [[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[5,1,2,3,7,4,6]=>{{1,2,3,4,5,6,7}} [[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[4,1,2,7,3,5,6]=>{{1,2,3,4,5,6,7}} [[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[3,1,7,2,4,5,6]=>{{1,2,3,4,5,6,7}} [[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[2,7,1,3,4,5,6]=>{{1,2,3,4,5,6,7}} [[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}} [[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}} [[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}} [[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}} [[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}} [[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>{{1,2,4},{3},{5},{6},{7},{8}} [[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>{{1,3,4,5},{2},{6},{7},{8}} [[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[2,4,3,5,1,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}} [[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]=>{{1,2,3,5},{4},{6},{7},{8}} [[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8]=>{{1,3,4,5,6},{2},{7},{8}} [[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[2,3,5,4,6,1,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[2,3,4,6,5,1,7,8]=>{{1,2,3,4,6},{5},{7},{8}} [[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]=>{{1,3,4,5,6,7},{2},{8}} [[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[2,3,5,4,6,7,1,8]=>{{1,2,3,5,6,7},{4},{8}} [[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[2,3,4,6,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}} [[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}} [[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}} [[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[2,4,3,5,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}} [[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[2,3,5,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}} [[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[2,3,4,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}} [[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[2,3,4,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}} [[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}} [[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}} [[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[3,1,4,5,2,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[2,4,1,5,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[2,3,5,1,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>[2,4,1,5,6,3,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[2,3,5,1,6,4,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,3,4,7,8],[5],[6]]=>[6,5,1,2,3,4,7,8]=>[2,3,4,6,1,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>[3,1,4,5,6,7,2,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>[2,4,1,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[2,3,4,6,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[2,3,4,5,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,8,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[2,4,1,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[2,3,5,1,6,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[2,3,4,6,1,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>[2,4,3,6,5,1,7,8]=>{{1,2,4,6},{3},{5},{7},{8}} [[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]=>{{1,2,3,6},{4},{5},{7},{8}} [[1,2,5,6,8],[3,4,7]]=>[3,4,7,1,2,5,6,8]=>[2,5,3,4,6,7,1,8]=>{{1,2,5,6,7},{3},{4},{8}} [[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[2,4,3,6,5,7,1,8]=>{{1,2,4,6,7},{3},{5},{8}} [[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]=>{{1,2,3,4,7},{5},{6},{8}} [[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>[3,2,5,4,6,7,8,1]=>{{1,3,5,6,7,8},{2},{4}} [[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[2,5,3,4,6,7,8,1]=>{{1,2,5,6,7,8},{3},{4}} [[1,2,4,6,7],[3,5,8]]=>[3,5,8,1,2,4,6,7]=>[2,4,3,6,5,7,8,1]=>{{1,2,4,6,7,8},{3},{5}} [[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>[2,3,6,4,5,7,8,1]=>{{1,2,3,6,7,8},{4},{5}} [[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>[3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}} [[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>[2,4,3,5,7,6,8,1]=>{{1,2,4,5,7,8},{3},{6}} [[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[2,3,5,4,7,6,8,1]=>{{1,2,3,5,7,8},{4},{6}} [[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[2,3,4,7,5,6,8,1]=>{{1,2,3,4,7,8},{5},{6}} [[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[3,2,4,5,6,8,7,1]=>{{1,3,4,5,6,8},{2},{7}} [[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}} [[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[2,3,4,6,5,8,7,1]=>{{1,2,3,4,6,8},{5},{7}} [[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]=>{{1,2,3,4,5,8},{6},{7}} [[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[4,3,2,5,1,6,7,8]=>{{1,4,5},{2,3},{6},{7},{8}} [[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[3,4,5,2,1,6,7,8]=>{{1,3,5},{2,4},{6},{7},{8}} [[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>[2,5,4,3,1,6,7,8]=>{{1,2,5},{3,4},{6},{7},{8}} [[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[3,4,5,1,2,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[2,5,4,1,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[4,3,2,5,6,1,7,8]=>{{1,4,5,6},{2,3},{7},{8}} [[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>[3,4,5,2,6,1,7,8]=>{{1,3,5,6},{2,4},{7},{8}} [[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[2,4,5,6,3,1,7,8]=>{{1,2,4,6},{3,5},{7},{8}} [[1,2,3,7,8],[4,6],[5]]=>[5,4,6,1,2,3,7,8]=>[2,3,6,5,4,1,7,8]=>{{1,2,3,6},{4,5},{7},{8}} [[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[3,4,5,1,6,2,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,5,7,8],[3,4],[6]]=>[6,3,4,1,2,5,7,8]=>[2,5,4,1,6,3,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[2,4,5,6,1,3,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,4,5,6,8],[2,7],[3]]=>[3,2,7,1,4,5,6,8]=>[4,3,2,5,6,7,1,8]=>{{1,4,5,6,7},{2,3},{8}} [[1,3,5,6,8],[2,7],[4]]=>[4,2,7,1,3,5,6,8]=>[3,4,5,2,6,7,1,8]=>{{1,3,5,6,7},{2,4},{8}} [[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>[3,5,4,6,2,7,1,8]=>{{1,3,4,6,7},{2,5},{8}} [[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[2,3,5,6,7,4,1,8]=>{{1,2,3,5,7},{4,6},{8}} [[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[2,3,4,7,6,5,1,8]=>{{1,2,3,4,7},{5,6},{8}} [[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>[2,5,4,1,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,4,6,8],[2,5],[7]]=>[7,2,5,1,3,4,6,8]=>[3,5,4,6,1,7,2,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[2,4,5,6,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>[2,3,5,6,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[2,3,4,7,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}} [[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}} [[1,2,5,6,7],[3,8],[4]]=>[4,3,8,1,2,5,6,7]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}} [[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>[3,5,4,6,2,7,8,1]=>{{1,3,4,6,7,8},{2,5}} [[1,2,4,6,7],[3,8],[5]]=>[5,3,8,1,2,4,6,7]=>[2,4,5,6,3,7,8,1]=>{{1,2,4,6,7,8},{3,5}} [[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>[2,3,6,5,4,7,8,1]=>{{1,2,3,6,7,8},{4,5}} [[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>[3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}} [[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>[2,4,6,5,7,3,8,1]=>{{1,2,4,5,7,8},{3,6}} [[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[2,3,5,6,7,4,8,1]=>{{1,2,3,5,7,8},{4,6}} [[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}} [[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>[2,4,7,5,6,8,3,1]=>{{1,2,4,5,6,8},{3,7}} [[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[2,3,5,7,6,8,4,1]=>{{1,2,3,5,6,8},{4,7}} [[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[2,3,4,6,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}} [[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[2,3,4,5,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}} [[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[3,4,5,1,6,7,8,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>[2,5,4,1,6,7,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[2,4,5,6,1,7,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>[2,3,6,5,1,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[2,4,6,5,7,1,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[2,3,5,6,7,1,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[2,3,4,7,6,1,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,5,6],[2,7],[8]]=>[8,2,7,1,3,4,5,6]=>[3,7,4,5,6,8,1,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[2,4,7,5,6,8,1,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[2,3,5,7,6,8,1,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>[4,1,2,5,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[2,5,1,3,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>[4,1,2,5,6,3,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[2,5,1,3,6,4,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,4,7,8],[3],[5],[6]]=>[6,5,3,1,2,4,7,8]=>[2,4,1,6,3,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[2,3,6,1,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>[4,1,2,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[2,4,1,6,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,6,8],[4],[5],[7]]=>[7,5,4,1,2,3,6,8]=>[2,3,6,1,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[2,3,4,7,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>[4,1,2,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>[3,1,5,2,6,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[2,5,1,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[3,1,4,6,2,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[2,4,1,6,3,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[2,3,6,1,4,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[2,3,5,1,7,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[2,3,4,7,1,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[3,1,4,5,6,8,2,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[2,3,5,1,6,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[2,3,4,6,1,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}} [[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[2,5,3,4,7,6,8,1]=>{{1,2,5,7,8},{3},{4},{6}} [[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[3,2,4,7,5,6,8,1]=>{{1,3,4,7,8},{2},{5},{6}} [[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[2,4,3,7,5,6,8,1]=>{{1,2,4,7,8},{3},{5},{6}} [[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}} [[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[3,2,5,4,6,8,7,1]=>{{1,3,5,6,8},{2},{4},{7}} [[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[2,5,3,4,6,8,7,1]=>{{1,2,5,6,8},{3},{4},{7}} [[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[3,2,4,6,5,8,7,1]=>{{1,3,4,6,8},{2},{5},{7}} [[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}} [[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[2,3,6,4,5,8,7,1]=>{{1,2,3,6,8},{4},{5},{7}} [[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[3,2,4,5,8,6,7,1]=>{{1,3,4,5,8},{2},{6},{7}} [[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[2,4,3,5,8,6,7,1]=>{{1,2,4,5,8},{3},{6},{7}} [[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[2,3,5,4,8,6,7,1]=>{{1,2,3,5,8},{4},{6},{7}} [[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}} [[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>[4,3,2,6,5,7,1,8]=>{{1,4,6,7},{2,3},{5},{8}} [[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>[3,4,6,2,5,7,1,8]=>{{1,3,6,7},{2,4},{5},{8}} [[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[3,4,6,5,2,7,1,8]=>{{1,3,6,7},{2,4,5},{8}} [[1,4,5,8],[2,6,7],[3]]=>[3,2,6,7,1,4,5,8]=>[4,3,2,5,7,6,1,8]=>{{1,4,5,7},{2,3},{6},{8}} [[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[3,4,5,2,7,6,1,8]=>{{1,3,5,7},{2,4},{6},{8}} [[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[3,5,4,7,2,6,1,8]=>{{1,3,4,7},{2,5},{6},{8}} [[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[2,4,5,7,3,6,1,8]=>{{1,2,4,7},{3,5},{6},{8}} [[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[2,3,7,5,4,6,1,8]=>{{1,2,3,7},{4,5},{6},{8}} [[1,3,5,8],[2,4,7],[6]]=>[6,2,4,7,1,3,5,8]=>[3,4,5,6,7,2,1,8]=>{{1,3,5,7},{2,4,6},{8}} [[1,2,5,8],[3,4,7],[6]]=>[6,3,4,7,1,2,5,8]=>[2,5,4,6,7,3,1,8]=>{{1,2,5,7},{3,4,6},{8}} [[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[3,5,4,7,6,2,1,8]=>{{1,3,4,7},{2,5,6},{8}} [[1,2,3,8],[4,5,7],[6]]=>[6,4,5,7,1,2,3,8]=>[2,3,7,5,6,4,1,8]=>{{1,2,3,7},{4,5,6},{8}} [[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[3,4,5,6,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>[2,5,4,6,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,4,8],[2,5,6],[7]]=>[7,2,5,6,1,3,4,8]=>[3,5,4,7,6,1,2,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[4,3,2,6,5,7,8,1]=>{{1,4,6,7,8},{2,3},{5}} [[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[2,6,4,3,5,7,8,1]=>{{1,2,6,7,8},{3,4},{5}} [[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[3,4,6,5,2,7,8,1]=>{{1,3,6,7,8},{2,4,5}} [[1,2,6,7],[3,4,8],[5]]=>[5,3,4,8,1,2,6,7]=>[2,6,4,5,3,7,8,1]=>{{1,2,6,7,8},{3,4,5}} [[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[4,3,2,5,7,6,8,1]=>{{1,4,5,7,8},{2,3},{6}} [[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[3,4,5,2,7,6,8,1]=>{{1,3,5,7,8},{2,4},{6}} [[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[2,5,4,3,7,6,8,1]=>{{1,2,5,7,8},{3,4},{6}} [[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[3,5,4,7,2,6,8,1]=>{{1,3,4,7,8},{2,5},{6}} [[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[2,4,5,7,3,6,8,1]=>{{1,2,4,7,8},{3,5},{6}} [[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[2,3,7,5,4,6,8,1]=>{{1,2,3,7,8},{4,5},{6}} [[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[3,4,5,6,7,2,8,1]=>{{1,3,5,7,8},{2,4,6}} [[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[2,5,4,6,7,3,8,1]=>{{1,2,5,7,8},{3,4,6}} [[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[3,5,4,7,6,2,8,1]=>{{1,3,4,7,8},{2,5,6}} [[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[2,3,7,5,6,4,8,1]=>{{1,2,3,7,8},{4,5,6}} [[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[4,3,2,5,6,8,7,1]=>{{1,4,5,6,8},{2,3},{7}} [[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[2,5,4,3,6,8,7,1]=>{{1,2,5,6,8},{3,4},{7}} [[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[2,4,5,6,3,8,7,1]=>{{1,2,4,6,8},{3,5},{7}} [[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[2,4,6,5,8,3,7,1]=>{{1,2,4,5,8},{3,6},{7}} [[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>[2,3,5,6,8,4,7,1]=>{{1,2,3,5,8},{4,6},{7}} [[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[2,3,4,8,6,5,7,1]=>{{1,2,3,4,8},{5,6},{7}} [[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[3,4,5,7,6,8,2,1]=>{{1,3,5,6,8},{2,4,7}} [[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[2,5,4,7,6,8,3,1]=>{{1,2,5,6,8},{3,4,7}} [[1,3,4,6],[2,5,8],[7]]=>[7,2,5,8,1,3,4,6]=>[3,5,4,6,7,8,2,1]=>{{1,3,4,6,8},{2,5,7}} [[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[2,4,5,6,7,8,3,1]=>{{1,2,4,6,8},{3,5,7}} [[1,3,4,5],[2,6,8],[7]]=>[7,2,6,8,1,3,4,5]=>[3,6,4,5,8,7,2,1]=>{{1,3,4,5,8},{2,6,7}} [[1,2,4,5],[3,6,8],[7]]=>[7,3,6,8,1,2,4,5]=>[2,4,6,5,8,7,3,1]=>{{1,2,4,5,8},{3,6,7}} [[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>[2,3,5,6,8,7,4,1]=>{{1,2,3,5,8},{4,6,7}} [[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[2,3,4,8,6,7,5,1]=>{{1,2,3,4,8},{5,6,7}} [[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[3,4,5,6,7,1,8,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>[2,5,4,6,7,1,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>[3,5,4,7,6,1,8,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>[3,4,5,7,6,8,1,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6],[3,4,7],[8]]=>[8,3,4,7,1,2,5,6]=>[2,5,4,7,6,8,1,3]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>[3,5,4,6,7,8,1,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[2,4,5,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6],[4,5,7],[8]]=>[8,4,5,7,1,2,3,6]=>[2,3,6,5,7,8,1,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[3,6,4,5,8,7,1,2]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5],[3,6,7],[8]]=>[8,3,6,7,1,2,4,5]=>[2,4,6,5,8,7,1,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[2,3,4,8,6,7,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>[3,5,6,4,1,2,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[2,6,5,4,1,3,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[3,4,6,1,5,2,7,8]=>{{1,2,3,4,6},{5},{7},{8}} [[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[2,6,4,1,5,3,7,8]=>{{1,2,3,4,6},{5},{7},{8}} [[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[4,5,3,6,1,7,2,8]=>{{1,2,4,5,6,7},{3},{8}} [[1,3,6,8],[2,5],[4,7]]=>[4,7,2,5,1,3,6,8]=>[3,5,6,4,1,7,2,8]=>{{1,2,3,5,6,7},{4},{8}} [[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[3,4,6,1,5,7,2,8]=>{{1,2,3,4,6,7},{5},{8}} [[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>[2,6,4,1,5,7,3,8]=>{{1,2,3,4,6,7},{5},{8}} [[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[4,6,3,5,7,1,2,8]=>{{1,2,4,5,6,7},{3},{8}} [[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[2,5,6,4,7,1,3,8]=>{{1,2,3,5,6,7},{4},{8}} [[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>[3,5,4,7,1,6,2,8]=>{{1,2,3,4,5,7},{6},{8}} [[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[3,5,6,4,1,7,8,2]=>{{1,2,3,5,6,7,8},{4}} [[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>[3,4,6,1,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}} [[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[2,6,4,1,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}} [[1,3,4,7],[2,6],[5,8]]=>[5,8,2,6,1,3,4,7]=>[3,6,4,7,5,1,8,2]=>{{1,2,3,4,6,7,8},{5}} [[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>[2,3,7,6,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}} [[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>[3,4,5,1,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}} [[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[2,5,4,1,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}} [[1,3,4,7],[2,5],[6,8]]=>[6,8,2,5,1,3,4,7]=>[3,5,4,7,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}} [[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[2,4,5,7,1,6,8,3]=>{{1,2,3,4,5,7,8},{6}} [[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[3,7,5,4,6,8,1,2]=>{{1,2,3,5,6,7,8},{4}} [[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[2,5,7,4,6,8,1,3]=>{{1,2,3,5,6,7,8},{4}} [[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[3,7,4,6,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}} [[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[2,4,7,6,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}} [[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[2,3,4,8,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}} [[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[3,4,5,1,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}} [[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[2,4,5,6,1,8,7,3]=>{{1,2,3,4,5,6,8},{7}} [[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[2,3,6,5,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}} [[1,2,4,5],[3,6],[7,8]]=>[7,8,3,6,1,2,4,5]=>[2,4,6,5,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}} [[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[2,3,5,6,8,1,7,4]=>{{1,2,3,4,5,6,8},{7}} [[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[2,3,4,8,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}} [[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[4,5,2,6,3,1,7,8]=>{{1,4,6},{2,3,5},{7},{8}} [[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[3,5,6,2,4,1,7,8]=>{{1,3,6},{2,4,5},{7},{8}} [[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[2,6,5,3,4,1,7,8]=>{{1,2,6},{3,4,5},{7},{8}} [[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[3,5,6,2,1,4,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,7,8],[3,4],[5],[6]]=>[6,5,3,4,1,2,7,8]=>[2,6,4,1,3,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[5,4,2,3,6,7,1,8]=>{{1,5,6,7},{2,3,4},{8}} [[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[4,5,2,6,3,7,1,8]=>{{1,4,6,7},{2,3,5},{8}} [[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[3,5,6,2,4,7,1,8]=>{{1,3,6,7},{2,4,5},{8}} [[1,3,4,8],[2,7],[5],[6]]=>[6,5,2,7,1,3,4,8]=>[3,6,4,7,2,5,1,8]=>{{1,3,4,7},{2,5,6},{8}} [[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[4,5,2,6,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[3,5,6,2,1,7,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[3,4,6,1,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[2,6,4,1,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[3,6,5,2,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[5,4,2,3,6,7,8,1]=>{{1,5,6,7,8},{2,3,4}} [[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[4,5,2,6,3,7,8,1]=>{{1,4,6,7,8},{2,3,5}} [[1,3,6,7],[2,8],[4],[5]]=>[5,4,2,8,1,3,6,7]=>[3,5,6,2,4,7,8,1]=>{{1,3,6,7,8},{2,4,5}} [[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[2,6,5,3,4,7,8,1]=>{{1,2,6,7,8},{3,4,5}} [[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[4,6,2,5,7,3,8,1]=>{{1,4,5,7,8},{2,3,6}} [[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[2,5,6,3,7,4,8,1]=>{{1,2,5,7,8},{3,4,6}} [[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[2,4,6,7,3,5,8,1]=>{{1,2,4,7,8},{3,5,6}} [[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[2,3,7,6,4,5,8,1]=>{{1,2,3,7,8},{4,5,6}} [[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[3,7,5,2,6,8,4,1]=>{{1,3,5,6,8},{2,4,7}} [[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[2,5,7,3,6,8,4,1]=>{{1,2,5,6,8},{3,4,7}} [[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[2,3,5,7,8,4,6,1]=>{{1,2,3,5,8},{4,6,7}} [[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[2,3,4,8,7,5,6,1]=>{{1,2,3,4,8},{5,6,7}} [[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>[3,5,6,2,1,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[3,4,6,1,2,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>[2,6,4,1,3,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>[2,4,6,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>[2,5,4,1,7,3,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>[3,5,4,7,1,2,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[2,3,7,5,1,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[3,7,5,2,6,8,1,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>[2,5,7,3,6,8,1,4]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[2,4,7,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[2,3,6,7,4,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,5],[2,7],[6],[8]]=>[8,6,2,7,1,3,4,5]=>[3,7,4,5,8,2,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[2,4,7,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[2,3,4,8,7,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>[2,5,4,1,6,8,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[3,5,4,6,1,8,2,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[2,4,5,6,1,8,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[2,3,6,5,1,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[2,4,6,5,8,1,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[2,3,5,6,8,1,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[2,3,4,8,6,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[5,1,2,3,6,4,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>[3,1,6,2,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[2,6,1,3,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[5,1,2,3,6,7,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[4,1,2,6,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>[2,6,1,3,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>[4,1,2,5,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>[3,1,5,2,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[2,5,1,3,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[2,3,7,1,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[5,1,2,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}} [[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>[4,1,2,6,3,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>[3,1,6,2,4,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[2,6,1,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,4,5,7],[2],[3],[6],[8]]=>[8,6,3,2,1,4,5,7]=>[4,1,2,5,7,3,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[3,1,5,2,7,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[2,5,1,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>[3,1,4,7,2,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[2,4,1,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[2,3,7,1,4,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[4,1,2,5,6,8,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>[3,1,5,2,6,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,5,6],[3],[4],[7],[8]]=>[8,7,4,3,1,2,5,6]=>[2,5,1,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[3,1,4,6,2,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[2,4,1,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[2,3,6,1,4,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[3,1,4,5,8,2,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[2,4,1,5,8,3,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[2,3,5,1,8,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[2,3,4,8,1,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2,5,8],[4,6]]=>[4,6,2,5,8,1,3,7]=>[3,5,7,4,6,2,8,1]=>{{1,3,7,8},{2,5,6},{4}} [[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>[2,7,5,4,6,3,8,1]=>{{1,2,7,8},{3,5,6},{4}} [[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>[3,4,7,6,5,2,8,1]=>{{1,3,7,8},{2,4,6},{5}} [[1,2,7],[3,4,8],[5,6]]=>[5,6,3,4,8,1,2,7]=>[2,7,4,6,5,3,8,1]=>{{1,2,7,8},{3,4,6},{5}} [[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[3,5,6,4,7,8,2,1]=>{{1,3,6,8},{2,5,7},{4}} [[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[2,6,5,4,7,8,3,1]=>{{1,2,6,8},{3,5,7},{4}} [[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[3,4,6,7,5,8,2,1]=>{{1,3,6,8},{2,4,7},{5}} [[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[4,6,3,5,8,7,2,1]=>{{1,4,5,8},{2,6,7},{3}} [[1,3,5],[2,6,8],[4,7]]=>[4,7,2,6,8,1,3,5]=>[3,6,5,4,8,7,2,1]=>{{1,3,5,8},{2,6,7},{4}} [[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[2,5,6,4,8,7,3,1]=>{{1,2,5,8},{3,6,7},{4}} [[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>[3,6,4,8,5,7,2,1]=>{{1,3,4,8},{2,6,7},{5}} [[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[2,4,6,8,5,7,3,1]=>{{1,2,4,8},{3,6,7},{5}} [[1,3,5],[2,4,8],[6,7]]=>[6,7,2,4,8,1,3,5]=>[3,4,5,7,8,6,2,1]=>{{1,3,5,8},{2,4,7},{6}} [[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>[2,5,4,7,8,6,3,1]=>{{1,2,5,8},{3,4,7},{6}} [[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[2,3,8,5,7,6,4,1]=>{{1,2,3,8},{4,5,7},{6}} [[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[4,5,3,6,7,8,1,2]=>{{1,2,4,5,6,7,8},{3}} [[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[3,5,6,4,7,8,1,2]=>{{1,2,3,5,6,7,8},{4}} [[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[3,4,6,7,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}} [[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[4,6,3,5,8,7,1,2]=>{{1,2,4,5,6,7,8},{3}} [[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[3,6,4,8,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}} [[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>[2,4,6,8,5,7,1,3]=>{{1,2,3,4,6,7,8},{5}} [[1,3,5],[2,4,7],[6,8]]=>[6,8,2,4,7,1,3,5]=>[3,4,5,7,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}} [[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[3,5,4,8,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}} [[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>[2,4,5,8,7,6,1,3]=>{{1,2,3,4,5,7,8},{6}} [[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[3,4,5,6,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}} [[1,2,5],[3,4,6],[7,8]]=>[7,8,3,4,6,1,2,5]=>[2,5,4,6,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}} [[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>[3,5,4,8,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}} [[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>[2,3,8,5,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}} [[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[5,4,2,3,7,6,8,1]=>{{1,5,7,8},{2,3,4},{6}} [[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[3,5,7,2,4,6,8,1]=>{{1,3,7,8},{2,4,5},{6}} [[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[4,5,2,7,6,3,8,1]=>{{1,4,7,8},{2,3,5,6}} [[1,3,7],[2,5,8],[4],[6]]=>[6,4,2,5,8,1,3,7]=>[3,5,7,2,6,4,8,1]=>{{1,3,7,8},{2,4,5,6}} [[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[2,7,5,3,6,4,8,1]=>{{1,2,7,8},{3,4,5,6}} [[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[3,4,7,6,2,5,8,1]=>{{1,3,7,8},{2,4,5,6}} [[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[3,5,6,2,4,8,7,1]=>{{1,3,6,8},{2,4,5},{7}} [[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[2,6,5,3,4,8,7,1]=>{{1,2,6,8},{3,4,5},{7}} [[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[4,6,2,5,8,3,7,1]=>{{1,4,5,8},{2,3,6},{7}} [[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[2,5,6,3,8,4,7,1]=>{{1,2,5,8},{3,4,6},{7}} [[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[3,6,4,8,2,5,7,1]=>{{1,3,4,8},{2,5,6},{7}} [[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[2,4,6,8,3,5,7,1]=>{{1,2,4,8},{3,5,6},{7}} [[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[2,3,8,6,4,5,7,1]=>{{1,2,3,8},{4,5,6},{7}} [[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[3,5,6,2,7,8,4,1]=>{{1,3,6,8},{2,4,5,7}} [[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[2,6,5,3,7,8,4,1]=>{{1,2,6,8},{3,4,5,7}} [[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[3,4,6,7,2,8,5,1]=>{{1,3,6,8},{2,4,5,7}} [[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>[2,6,4,7,3,8,5,1]=>{{1,2,6,8},{3,4,5,7}} [[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[3,6,4,8,2,7,5,1]=>{{1,3,4,8},{2,5,6,7}} [[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[2,4,6,8,3,7,5,1]=>{{1,2,4,8},{3,5,6,7}} [[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[3,4,5,7,8,2,6,1]=>{{1,3,5,8},{2,4,6,7}} [[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[3,5,4,8,7,2,6,1]=>{{1,3,4,8},{2,5,6,7}} [[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[4,5,2,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[3,5,6,2,7,8,1,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[3,4,6,7,2,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[3,6,4,8,2,7,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>[2,4,6,8,3,7,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,4,7],[6],[8]]=>[8,6,3,4,7,1,2,5]=>[2,5,4,7,8,3,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>[2,4,5,8,7,3,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[3,4,5,6,8,1,2,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[2,5,4,6,8,1,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>[3,5,4,8,6,1,2,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[2,3,8,5,6,1,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[2,7,6,5,4,1,3,8]=>{{1,2,3,6,7},{4,5},{8}} [[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[4,5,6,7,1,3,2,8]=>{{1,2,4,5,7},{3,6},{8}} [[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[3,5,7,6,1,4,2,8]=>{{1,2,3,5,7},{4,6},{8}} [[1,2,8],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2,8]=>[2,7,4,1,6,5,3,8]=>{{1,2,3,4,7},{5,6},{8}} [[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[4,5,6,7,1,2,3,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[3,5,7,6,1,2,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[2,7,5,6,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,8],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3,8]=>[3,4,7,1,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[5,6,4,3,7,1,8,2]=>{{1,2,5,6,7,8},{3,4}} [[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[4,5,6,7,1,3,8,2]=>{{1,2,4,5,7,8},{3,6}} [[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[3,5,7,6,1,4,8,2]=>{{1,2,3,5,7,8},{4,6}} [[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>[2,7,4,1,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}} [[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[5,7,4,3,6,8,1,2]=>{{1,2,5,6,7,8},{3,4}} [[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[4,7,5,6,3,8,1,2]=>{{1,2,4,6,7,8},{3,5}} [[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[2,6,7,5,4,8,1,3]=>{{1,2,3,6,7,8},{4,5}} [[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[3,7,5,6,8,4,1,2]=>{{1,2,3,5,7,8},{4,6}} [[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[3,7,4,8,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}} [[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[2,4,7,8,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}} [[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[2,3,8,7,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}} [[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[4,5,7,6,1,8,3,2]=>{{1,2,4,5,6,8},{3,7}} [[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[3,5,6,7,1,8,4,2]=>{{1,2,3,5,6,8},{4,7}} [[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[2,6,5,7,1,8,4,3]=>{{1,2,3,5,6,8},{4,7}} [[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[3,4,6,1,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}} [[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[2,6,4,1,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}} [[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[3,6,4,8,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}} [[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[2,4,6,8,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}} [[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[2,3,8,6,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}} [[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[3,4,5,1,8,7,6,2]=>{{1,2,3,4,5,8},{6,7}} [[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[2,5,4,1,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}} [[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>[2,4,5,8,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}} [[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[4,5,6,7,1,2,8,3]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>[3,4,7,1,6,2,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[2,7,4,1,6,3,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[4,5,7,6,1,8,2,3]=>{{1,2,3,4,5,6,7,8}} [[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[2,6,5,7,1,8,3,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[3,4,6,1,7,8,2,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,6],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6]=>[2,6,4,1,7,8,3,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[2,5,6,7,8,1,3,4]=>{{1,2,3,4,5,6,7,8}} [[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[3,4,5,1,8,7,2,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>[2,5,4,1,8,7,3,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[3,5,4,8,1,7,2,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[2,3,8,5,1,7,4,6]=>{{1,2,3,4,5,6,7,8}} [[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[5,6,2,3,7,4,1,8]=>{{1,5,7},{2,3,4,6},{8}} [[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[4,6,2,7,3,5,1,8]=>{{1,4,7},{2,3,5,6},{8}} [[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[3,6,7,2,4,5,1,8]=>{{1,3,7},{2,4,5,6},{8}} [[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>[2,7,6,3,4,5,1,8]=>{{1,2,7},{3,4,5,6},{8}} [[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[4,6,2,7,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,8],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3,8]=>[3,5,7,2,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[6,5,2,3,4,7,8,1]=>{{1,6,7,8},{2,3,4,5}} [[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[3,6,7,2,4,5,8,1]=>{{1,3,7,8},{2,4,5,6}} [[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[2,7,6,3,4,5,8,1]=>{{1,2,7,8},{3,4,5,6}} [[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[4,7,2,6,3,8,5,1]=>{{1,4,6,8},{2,3,5,7}} [[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[4,7,2,5,8,3,6,1]=>{{1,4,5,8},{2,3,6,7}} [[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>[2,5,7,3,8,4,6,1]=>{{1,2,5,8},{3,4,6,7}} [[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[2,4,7,8,3,5,6,1]=>{{1,2,4,8},{3,5,6,7}} [[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[2,3,8,7,4,5,6,1]=>{{1,2,3,8},{4,5,6,7}} [[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[4,6,2,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[3,6,7,2,4,1,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>[2,7,6,3,4,1,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[3,5,7,2,1,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,7],[3,5],[4],[6],[8]]=>[8,6,4,3,5,1,2,7]=>[2,7,5,3,1,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>[3,4,7,1,2,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>[2,7,4,1,3,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[4,7,2,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2,7],[4],[5],[8]]=>[8,5,4,2,7,1,3,6]=>[3,7,6,2,4,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>[4,7,2,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[3,7,5,2,8,4,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>[2,5,7,3,8,4,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2,7],[5],[6],[8]]=>[8,6,5,2,7,1,3,4]=>[3,7,4,8,2,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,4],[3,7],[5],[6],[8]]=>[8,6,5,3,7,1,2,4]=>[2,4,7,8,3,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[2,3,8,7,4,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,4,6],[2,5],[3],[7],[8]]=>[8,7,3,2,5,1,4,6]=>[4,5,2,6,1,8,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2,5],[4],[7],[8]]=>[8,7,4,2,5,1,3,6]=>[3,5,6,2,1,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>[2,6,4,1,3,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[3,6,5,2,8,1,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[2,5,6,3,8,1,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[3,6,4,8,2,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[2,4,6,8,3,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[2,3,8,6,4,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[2,5,4,1,8,3,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[2,3,8,5,1,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[6,1,2,3,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>[6,1,2,3,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}} [[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[4,1,2,7,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[3,1,7,2,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[2,7,1,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[6,1,2,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}} [[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[5,1,2,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[4,1,2,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[3,1,7,2,4,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[2,7,1,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>[5,1,2,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[4,1,2,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[3,1,6,2,4,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[2,6,1,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[4,1,2,5,8,3,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[3,1,5,2,8,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[2,5,1,3,8,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[3,1,4,8,2,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[2,4,1,8,3,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[2,3,8,1,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[5,6,7,4,8,1,2,3]=>{{1,2,3,5,6,7,8},{4}} [[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,8,6,7,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}} [[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[3,5,8,7,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}} [[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,8,5,7,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}} [[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[3,4,8,1,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}} [[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[2,8,4,1,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}} [[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[4,5,6,8,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}} [[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[3,5,8,6,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}} [[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[3,4,8,1,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}} [[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[2,8,4,1,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}} [[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[5,7,6,3,8,4,1,2]=>{{1,2,5,7,8},{3,4,6}} [[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[4,7,6,8,3,5,1,2]=>{{1,2,4,7,8},{3,5,6}} [[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[2,8,7,6,4,5,1,3]=>{{1,2,3,7,8},{4,5,6}} [[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[4,6,7,8,3,1,5,2]=>{{1,2,4,6,8},{3,5,7}} [[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[3,5,8,7,1,4,6,2]=>{{1,2,3,5,8},{4,6,7}} [[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[3,4,8,1,7,5,6,2]=>{{1,2,3,4,8},{5,6,7}} [[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[2,8,4,1,7,5,6,3]=>{{1,2,3,4,8},{5,6,7}} [[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[5,6,7,3,8,1,2,4]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>[3,6,8,7,4,1,2,5]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>[2,8,6,7,4,1,3,5]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[3,5,8,7,1,4,2,6]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,5],[4,7],[6],[8]]=>[8,6,4,7,3,5,1,2]=>[2,8,5,7,1,4,3,6]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>[2,8,4,1,7,5,3,6]=>{{1,2,3,4,5,6,7,8}} [[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[4,5,6,8,1,2,3,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>[3,5,8,6,1,2,4,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[3,4,8,1,6,2,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[2,8,4,1,6,3,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[7,6,2,3,4,5,8,1]=>{{1,7,8},{2,3,4,5,6}} [[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[6,7,2,3,4,8,5,1]=>{{1,6,8},{2,3,4,5,7}} [[1,4],[2,8],[3],[5],[6],[7]]=>[7,6,5,3,2,8,1,4]=>[4,7,2,8,3,5,6,1]=>{{1,4,8},{2,3,5,6,7}} [[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[2,8,7,3,4,5,6,1]=>{{1,2,8},{3,4,5,6,7}} [[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[6,7,2,3,4,8,1,5]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>[3,7,8,2,4,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>[2,8,7,3,4,5,1,6]=>{{1,2,3,4,5,6,7,8}} [[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[4,6,2,8,3,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[3,6,8,2,4,1,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>[3,5,8,2,1,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[2,8,5,3,1,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[3,4,8,1,2,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[2,8,4,1,3,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}} [[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}} [[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[4,1,2,8,3,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[3,1,8,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[2,8,1,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[3,2,5,4,7,6,9,8,10,1]=>{{1,3,5,7,9,10},{2},{4},{6},{8}} [[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[3,2,5,4,7,6,8,10,9,1]=>{{1,3,5,7,8,10},{2},{4},{6},{9}} [[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[3,2,5,4,6,9,7,8,10,1]=>{{1,3,5,6,9,10},{2},{4},{7},{8}} [[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[3,2,5,4,6,8,7,10,9,1]=>{{1,3,5,6,8,10},{2},{4},{7},{9}} [[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[3,2,5,4,6,7,10,8,9,1]=>{{1,3,5,6,7,10},{2},{4},{8},{9}} [[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[3,2,4,7,5,6,9,8,10,1]=>{{1,3,4,7,9,10},{2},{5},{6},{8}} [[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[3,2,4,7,5,6,8,10,9,1]=>{{1,3,4,7,8,10},{2},{5},{6},{9}} [[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[3,2,4,6,5,9,7,8,10,1]=>{{1,3,4,6,9,10},{2},{5},{7},{8}} [[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[3,2,4,6,5,8,7,10,9,1]=>{{1,3,4,6,8,10},{2},{5},{7},{9}} [[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[3,2,4,6,5,7,10,8,9,1]=>{{1,3,4,6,7,10},{2},{5},{8},{9}} [[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[3,2,4,5,9,6,7,8,10,1]=>{{1,3,4,5,9,10},{2},{6},{7},{8}} [[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[3,2,4,5,8,6,7,10,9,1]=>{{1,3,4,5,8,10},{2},{6},{7},{9}} [[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[3,2,4,5,7,6,10,8,9,1]=>{{1,3,4,5,7,10},{2},{6},{8},{9}} [[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[3,2,4,5,6,10,7,8,9,1]=>{{1,3,4,5,6,10},{2},{7},{8},{9}} [[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[2,5,3,4,7,6,9,8,10,1]=>{{1,2,5,7,9,10},{3},{4},{6},{8}} [[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[2,5,3,4,7,6,8,10,9,1]=>{{1,2,5,7,8,10},{3},{4},{6},{9}} [[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[2,5,3,4,6,9,7,8,10,1]=>{{1,2,5,6,9,10},{3},{4},{7},{8}} [[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[2,5,3,4,6,8,7,10,9,1]=>{{1,2,5,6,8,10},{3},{4},{7},{9}} [[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[2,5,3,4,6,7,10,8,9,1]=>{{1,2,5,6,7,10},{3},{4},{8},{9}} [[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[2,4,3,7,5,6,9,8,10,1]=>{{1,2,4,7,9,10},{3},{5},{6},{8}} [[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[2,4,3,7,5,6,8,10,9,1]=>{{1,2,4,7,8,10},{3},{5},{6},{9}} [[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[2,4,3,6,5,9,7,8,10,1]=>{{1,2,4,6,9,10},{3},{5},{7},{8}} [[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[2,4,3,6,5,8,7,10,9,1]=>{{1,2,4,6,8,10},{3},{5},{7},{9}} [[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[2,4,3,6,5,7,10,8,9,1]=>{{1,2,4,6,7,10},{3},{5},{8},{9}} [[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[2,4,3,5,9,6,7,8,10,1]=>{{1,2,4,5,9,10},{3},{6},{7},{8}} [[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[2,4,3,5,8,6,7,10,9,1]=>{{1,2,4,5,8,10},{3},{6},{7},{9}} [[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[2,4,3,5,7,6,10,8,9,1]=>{{1,2,4,5,7,10},{3},{6},{8},{9}} [[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[2,4,3,5,6,10,7,8,9,1]=>{{1,2,4,5,6,10},{3},{7},{8},{9}} [[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[2,3,7,4,5,6,9,8,10,1]=>{{1,2,3,7,9,10},{4},{5},{6},{8}} [[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[2,3,7,4,5,6,8,10,9,1]=>{{1,2,3,7,8,10},{4},{5},{6},{9}} [[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[2,3,6,4,5,9,7,8,10,1]=>{{1,2,3,6,9,10},{4},{5},{7},{8}} [[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[2,3,6,4,5,8,7,10,9,1]=>{{1,2,3,6,8,10},{4},{5},{7},{9}} [[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[2,3,6,4,5,7,10,8,9,1]=>{{1,2,3,6,7,10},{4},{5},{8},{9}} [[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[2,3,5,4,9,6,7,8,10,1]=>{{1,2,3,5,9,10},{4},{6},{7},{8}} [[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[2,3,5,4,8,6,7,10,9,1]=>{{1,2,3,5,8,10},{4},{6},{7},{9}} [[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[2,3,5,4,7,6,10,8,9,1]=>{{1,2,3,5,7,10},{4},{6},{8},{9}} [[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[2,3,5,4,6,10,7,8,9,1]=>{{1,2,3,5,6,10},{4},{7},{8},{9}} [[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[2,3,4,9,5,6,7,8,10,1]=>{{1,2,3,4,9,10},{5},{6},{7},{8}} [[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[2,3,4,8,5,6,7,10,9,1]=>{{1,2,3,4,8,10},{5},{6},{7},{9}} [[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[2,3,4,7,5,6,10,8,9,1]=>{{1,2,3,4,7,10},{5},{6},{8},{9}} [[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[2,3,4,6,5,10,7,8,9,1]=>{{1,2,3,4,6,10},{5},{7},{8},{9}} [[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[2,3,4,5,10,6,7,8,9,1]=>{{1,2,3,4,5,10},{6},{7},{8},{9}} [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>{{1,3,5,7,9,11,12},{2},{4},{6},{8},{10}} [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[3,2,5,4,7,6,9,8,10,12,11,1]=>{{1,3,5,7,9,10,12},{2},{4},{6},{8},{11}} [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[3,2,5,4,7,6,8,11,9,10,12,1]=>{{1,3,5,7,8,11,12},{2},{4},{6},{9},{10}} [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[3,2,5,4,7,6,8,10,9,12,11,1]=>{{1,3,5,7,8,10,12},{2},{4},{6},{9},{11}} [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[3,2,5,4,7,6,8,9,12,10,11,1]=>{{1,3,5,7,8,9,12},{2},{4},{6},{10},{11}} [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[3,2,5,4,6,9,7,8,11,10,12,1]=>{{1,3,5,6,9,11,12},{2},{4},{7},{8},{10}} [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[3,2,5,4,6,9,7,8,10,12,11,1]=>{{1,3,5,6,9,10,12},{2},{4},{7},{8},{11}} [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[3,2,5,4,6,8,7,11,9,10,12,1]=>{{1,3,5,6,8,11,12},{2},{4},{7},{9},{10}} [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[3,2,5,4,6,8,7,10,9,12,11,1]=>{{1,3,5,6,8,10,12},{2},{4},{7},{9},{11}} [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[3,2,5,4,6,8,7,9,12,10,11,1]=>{{1,3,5,6,8,9,12},{2},{4},{7},{10},{11}} [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[3,2,5,4,6,7,11,8,9,10,12,1]=>{{1,3,5,6,7,11,12},{2},{4},{8},{9},{10}} [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[3,2,5,4,6,7,10,8,9,12,11,1]=>{{1,3,5,6,7,10,12},{2},{4},{8},{9},{11}} [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[3,2,5,4,6,7,9,8,12,10,11,1]=>{{1,3,5,6,7,9,12},{2},{4},{8},{10},{11}} [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[3,2,5,4,6,7,8,12,9,10,11,1]=>{{1,3,5,6,7,8,12},{2},{4},{9},{10},{11}} [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[3,2,4,7,5,6,9,8,11,10,12,1]=>{{1,3,4,7,9,11,12},{2},{5},{6},{8},{10}} [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[3,2,4,7,5,6,9,8,10,12,11,1]=>{{1,3,4,7,9,10,12},{2},{5},{6},{8},{11}} [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[3,2,4,7,5,6,8,11,9,10,12,1]=>{{1,3,4,7,8,11,12},{2},{5},{6},{9},{10}} [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[3,2,4,7,5,6,8,10,9,12,11,1]=>{{1,3,4,7,8,10,12},{2},{5},{6},{9},{11}} [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[3,2,4,7,5,6,8,9,12,10,11,1]=>{{1,3,4,7,8,9,12},{2},{5},{6},{10},{11}} [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[3,2,4,6,5,9,7,8,11,10,12,1]=>{{1,3,4,6,9,11,12},{2},{5},{7},{8},{10}} [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[3,2,4,6,5,9,7,8,10,12,11,1]=>{{1,3,4,6,9,10,12},{2},{5},{7},{8},{11}} [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[3,2,4,6,5,8,7,11,9,10,12,1]=>{{1,3,4,6,8,11,12},{2},{5},{7},{9},{10}} [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[3,2,4,6,5,8,7,10,9,12,11,1]=>{{1,3,4,6,8,10,12},{2},{5},{7},{9},{11}} [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[3,2,4,6,5,8,7,9,12,10,11,1]=>{{1,3,4,6,8,9,12},{2},{5},{7},{10},{11}} [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[3,2,4,6,5,7,11,8,9,10,12,1]=>{{1,3,4,6,7,11,12},{2},{5},{8},{9},{10}} [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[3,2,4,6,5,7,10,8,9,12,11,1]=>{{1,3,4,6,7,10,12},{2},{5},{8},{9},{11}} [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[3,2,4,6,5,7,9,8,12,10,11,1]=>{{1,3,4,6,7,9,12},{2},{5},{8},{10},{11}} [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[3,2,4,6,5,7,8,12,9,10,11,1]=>{{1,3,4,6,7,8,12},{2},{5},{9},{10},{11}} [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[3,2,4,5,9,6,7,8,11,10,12,1]=>{{1,3,4,5,9,11,12},{2},{6},{7},{8},{10}} [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[3,2,4,5,9,6,7,8,10,12,11,1]=>{{1,3,4,5,9,10,12},{2},{6},{7},{8},{11}} [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[3,2,4,5,8,6,7,11,9,10,12,1]=>{{1,3,4,5,8,11,12},{2},{6},{7},{9},{10}} [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[3,2,4,5,8,6,7,10,9,12,11,1]=>{{1,3,4,5,8,10,12},{2},{6},{7},{9},{11}} [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[3,2,4,5,8,6,7,9,12,10,11,1]=>{{1,3,4,5,8,9,12},{2},{6},{7},{10},{11}} [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[3,2,4,5,7,6,11,8,9,10,12,1]=>{{1,3,4,5,7,11,12},{2},{6},{8},{9},{10}} [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[3,2,4,5,7,6,10,8,9,12,11,1]=>{{1,3,4,5,7,10,12},{2},{6},{8},{9},{11}} [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[3,2,4,5,7,6,9,8,12,10,11,1]=>{{1,3,4,5,7,9,12},{2},{6},{8},{10},{11}} [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[3,2,4,5,7,6,8,12,9,10,11,1]=>{{1,3,4,5,7,8,12},{2},{6},{9},{10},{11}} [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[3,2,4,5,6,11,7,8,9,10,12,1]=>{{1,3,4,5,6,11,12},{2},{7},{8},{9},{10}} [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[3,2,4,5,6,10,7,8,9,12,11,1]=>{{1,3,4,5,6,10,12},{2},{7},{8},{9},{11}} [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[3,2,4,5,6,9,7,8,12,10,11,1]=>{{1,3,4,5,6,9,12},{2},{7},{8},{10},{11}} [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[3,2,4,5,6,8,7,12,9,10,11,1]=>{{1,3,4,5,6,8,12},{2},{7},{9},{10},{11}} [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[3,2,4,5,6,7,12,8,9,10,11,1]=>{{1,3,4,5,6,7,12},{2},{8},{9},{10},{11}} [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[2,5,3,4,7,6,9,8,11,10,12,1]=>{{1,2,5,7,9,11,12},{3},{4},{6},{8},{10}} [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[2,5,3,4,7,6,9,8,10,12,11,1]=>{{1,2,5,7,9,10,12},{3},{4},{6},{8},{11}} [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[2,5,3,4,7,6,8,11,9,10,12,1]=>{{1,2,5,7,8,11,12},{3},{4},{6},{9},{10}} [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[2,5,3,4,7,6,8,10,9,12,11,1]=>{{1,2,5,7,8,10,12},{3},{4},{6},{9},{11}} [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[2,5,3,4,7,6,8,9,12,10,11,1]=>{{1,2,5,7,8,9,12},{3},{4},{6},{10},{11}} [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[2,5,3,4,6,9,7,8,11,10,12,1]=>{{1,2,5,6,9,11,12},{3},{4},{7},{8},{10}} [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[2,5,3,4,6,9,7,8,10,12,11,1]=>{{1,2,5,6,9,10,12},{3},{4},{7},{8},{11}} [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[2,5,3,4,6,8,7,11,9,10,12,1]=>{{1,2,5,6,8,11,12},{3},{4},{7},{9},{10}} [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[2,5,3,4,6,8,7,10,9,12,11,1]=>{{1,2,5,6,8,10,12},{3},{4},{7},{9},{11}} [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[2,5,3,4,6,8,7,9,12,10,11,1]=>{{1,2,5,6,8,9,12},{3},{4},{7},{10},{11}} [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[2,5,3,4,6,7,11,8,9,10,12,1]=>{{1,2,5,6,7,11,12},{3},{4},{8},{9},{10}} [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[2,5,3,4,6,7,10,8,9,12,11,1]=>{{1,2,5,6,7,10,12},{3},{4},{8},{9},{11}} [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[2,5,3,4,6,7,9,8,12,10,11,1]=>{{1,2,5,6,7,9,12},{3},{4},{8},{10},{11}} [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[2,5,3,4,6,7,8,12,9,10,11,1]=>{{1,2,5,6,7,8,12},{3},{4},{9},{10},{11}} [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[2,4,3,7,5,6,9,8,11,10,12,1]=>{{1,2,4,7,9,11,12},{3},{5},{6},{8},{10}} [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[2,4,3,7,5,6,9,8,10,12,11,1]=>{{1,2,4,7,9,10,12},{3},{5},{6},{8},{11}} [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[2,4,3,7,5,6,8,11,9,10,12,1]=>{{1,2,4,7,8,11,12},{3},{5},{6},{9},{10}} [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[2,4,3,7,5,6,8,10,9,12,11,1]=>{{1,2,4,7,8,10,12},{3},{5},{6},{9},{11}} [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[2,4,3,7,5,6,8,9,12,10,11,1]=>{{1,2,4,7,8,9,12},{3},{5},{6},{10},{11}} [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[2,4,3,6,5,9,7,8,11,10,12,1]=>{{1,2,4,6,9,11,12},{3},{5},{7},{8},{10}} [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[2,4,3,6,5,9,7,8,10,12,11,1]=>{{1,2,4,6,9,10,12},{3},{5},{7},{8},{11}} [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[2,4,3,6,5,8,7,11,9,10,12,1]=>{{1,2,4,6,8,11,12},{3},{5},{7},{9},{10}} [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[2,4,3,6,5,8,7,10,9,12,11,1]=>{{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}} [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[2,4,3,6,5,8,7,9,12,10,11,1]=>{{1,2,4,6,8,9,12},{3},{5},{7},{10},{11}} [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[2,4,3,6,5,7,11,8,9,10,12,1]=>{{1,2,4,6,7,11,12},{3},{5},{8},{9},{10}} [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[2,4,3,6,5,7,10,8,9,12,11,1]=>{{1,2,4,6,7,10,12},{3},{5},{8},{9},{11}} [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[2,4,3,6,5,7,9,8,12,10,11,1]=>{{1,2,4,6,7,9,12},{3},{5},{8},{10},{11}} [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[2,4,3,6,5,7,8,12,9,10,11,1]=>{{1,2,4,6,7,8,12},{3},{5},{9},{10},{11}} [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[2,4,3,5,9,6,7,8,11,10,12,1]=>{{1,2,4,5,9,11,12},{3},{6},{7},{8},{10}} [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[2,4,3,5,9,6,7,8,10,12,11,1]=>{{1,2,4,5,9,10,12},{3},{6},{7},{8},{11}} [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[2,4,3,5,8,6,7,11,9,10,12,1]=>{{1,2,4,5,8,11,12},{3},{6},{7},{9},{10}} [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[2,4,3,5,8,6,7,10,9,12,11,1]=>{{1,2,4,5,8,10,12},{3},{6},{7},{9},{11}} [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[2,4,3,5,8,6,7,9,12,10,11,1]=>{{1,2,4,5,8,9,12},{3},{6},{7},{10},{11}} [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[2,4,3,5,7,6,11,8,9,10,12,1]=>{{1,2,4,5,7,11,12},{3},{6},{8},{9},{10}} [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[2,4,3,5,7,6,10,8,9,12,11,1]=>{{1,2,4,5,7,10,12},{3},{6},{8},{9},{11}} [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[2,4,3,5,7,6,9,8,12,10,11,1]=>{{1,2,4,5,7,9,12},{3},{6},{8},{10},{11}} [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[2,4,3,5,7,6,8,12,9,10,11,1]=>{{1,2,4,5,7,8,12},{3},{6},{9},{10},{11}} [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[2,4,3,5,6,11,7,8,9,10,12,1]=>{{1,2,4,5,6,11,12},{3},{7},{8},{9},{10}} [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[2,4,3,5,6,10,7,8,9,12,11,1]=>{{1,2,4,5,6,10,12},{3},{7},{8},{9},{11}} [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[2,4,3,5,6,9,7,8,12,10,11,1]=>{{1,2,4,5,6,9,12},{3},{7},{8},{10},{11}} [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[2,4,3,5,6,8,7,12,9,10,11,1]=>{{1,2,4,5,6,8,12},{3},{7},{9},{10},{11}} [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[2,4,3,5,6,7,12,8,9,10,11,1]=>{{1,2,4,5,6,7,12},{3},{8},{9},{10},{11}} [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[2,3,7,4,5,6,9,8,11,10,12,1]=>{{1,2,3,7,9,11,12},{4},{5},{6},{8},{10}} [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[2,3,7,4,5,6,9,8,10,12,11,1]=>{{1,2,3,7,9,10,12},{4},{5},{6},{8},{11}} [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[2,3,7,4,5,6,8,11,9,10,12,1]=>{{1,2,3,7,8,11,12},{4},{5},{6},{9},{10}} [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[2,3,7,4,5,6,8,10,9,12,11,1]=>{{1,2,3,7,8,10,12},{4},{5},{6},{9},{11}} [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[2,3,7,4,5,6,8,9,12,10,11,1]=>{{1,2,3,7,8,9,12},{4},{5},{6},{10},{11}} [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[2,3,6,4,5,9,7,8,11,10,12,1]=>{{1,2,3,6,9,11,12},{4},{5},{7},{8},{10}} [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[2,3,6,4,5,9,7,8,10,12,11,1]=>{{1,2,3,6,9,10,12},{4},{5},{7},{8},{11}} [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[2,3,6,4,5,8,7,11,9,10,12,1]=>{{1,2,3,6,8,11,12},{4},{5},{7},{9},{10}} [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[2,3,6,4,5,8,7,10,9,12,11,1]=>{{1,2,3,6,8,10,12},{4},{5},{7},{9},{11}} [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[2,3,6,4,5,8,7,9,12,10,11,1]=>{{1,2,3,6,8,9,12},{4},{5},{7},{10},{11}} [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[2,3,6,4,5,7,11,8,9,10,12,1]=>{{1,2,3,6,7,11,12},{4},{5},{8},{9},{10}} [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[2,3,6,4,5,7,10,8,9,12,11,1]=>{{1,2,3,6,7,10,12},{4},{5},{8},{9},{11}} [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[2,3,6,4,5,7,9,8,12,10,11,1]=>{{1,2,3,6,7,9,12},{4},{5},{8},{10},{11}} [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[2,3,6,4,5,7,8,12,9,10,11,1]=>{{1,2,3,6,7,8,12},{4},{5},{9},{10},{11}} [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[2,3,5,4,9,6,7,8,11,10,12,1]=>{{1,2,3,5,9,11,12},{4},{6},{7},{8},{10}} [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[2,3,5,4,9,6,7,8,10,12,11,1]=>{{1,2,3,5,9,10,12},{4},{6},{7},{8},{11}} [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[2,3,5,4,8,6,7,11,9,10,12,1]=>{{1,2,3,5,8,11,12},{4},{6},{7},{9},{10}} [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[2,3,5,4,8,6,7,10,9,12,11,1]=>{{1,2,3,5,8,10,12},{4},{6},{7},{9},{11}} [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[2,3,5,4,8,6,7,9,12,10,11,1]=>{{1,2,3,5,8,9,12},{4},{6},{7},{10},{11}} [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[2,3,5,4,7,6,11,8,9,10,12,1]=>{{1,2,3,5,7,11,12},{4},{6},{8},{9},{10}} [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[2,3,5,4,7,6,10,8,9,12,11,1]=>{{1,2,3,5,7,10,12},{4},{6},{8},{9},{11}} [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[2,3,5,4,7,6,9,8,12,10,11,1]=>{{1,2,3,5,7,9,12},{4},{6},{8},{10},{11}} [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[2,3,5,4,7,6,8,12,9,10,11,1]=>{{1,2,3,5,7,8,12},{4},{6},{9},{10},{11}} [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[2,3,5,4,6,11,7,8,9,10,12,1]=>{{1,2,3,5,6,11,12},{4},{7},{8},{9},{10}} [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[2,3,5,4,6,10,7,8,9,12,11,1]=>{{1,2,3,5,6,10,12},{4},{7},{8},{9},{11}} [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[2,3,5,4,6,9,7,8,12,10,11,1]=>{{1,2,3,5,6,9,12},{4},{7},{8},{10},{11}} [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[2,3,5,4,6,8,7,12,9,10,11,1]=>{{1,2,3,5,6,8,12},{4},{7},{9},{10},{11}} [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[2,3,5,4,6,7,12,8,9,10,11,1]=>{{1,2,3,5,6,7,12},{4},{8},{9},{10},{11}} [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[2,3,4,9,5,6,7,8,11,10,12,1]=>{{1,2,3,4,9,11,12},{5},{6},{7},{8},{10}} [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[2,3,4,9,5,6,7,8,10,12,11,1]=>{{1,2,3,4,9,10,12},{5},{6},{7},{8},{11}} [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[2,3,4,8,5,6,7,11,9,10,12,1]=>{{1,2,3,4,8,11,12},{5},{6},{7},{9},{10}} [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[2,3,4,8,5,6,7,10,9,12,11,1]=>{{1,2,3,4,8,10,12},{5},{6},{7},{9},{11}} [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[2,3,4,8,5,6,7,9,12,10,11,1]=>{{1,2,3,4,8,9,12},{5},{6},{7},{10},{11}} [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[2,3,4,7,5,6,11,8,9,10,12,1]=>{{1,2,3,4,7,11,12},{5},{6},{8},{9},{10}} [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[2,3,4,7,5,6,10,8,9,12,11,1]=>{{1,2,3,4,7,10,12},{5},{6},{8},{9},{11}} [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[2,3,4,7,5,6,9,8,12,10,11,1]=>{{1,2,3,4,7,9,12},{5},{6},{8},{10},{11}} [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[2,3,4,7,5,6,8,12,9,10,11,1]=>{{1,2,3,4,7,8,12},{5},{6},{9},{10},{11}} [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[2,3,4,6,5,11,7,8,9,10,12,1]=>{{1,2,3,4,6,11,12},{5},{7},{8},{9},{10}} [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[2,3,4,6,5,10,7,8,9,12,11,1]=>{{1,2,3,4,6,10,12},{5},{7},{8},{9},{11}} [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[2,3,4,6,5,9,7,8,12,10,11,1]=>{{1,2,3,4,6,9,12},{5},{7},{8},{10},{11}} [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[2,3,4,6,5,8,7,12,9,10,11,1]=>{{1,2,3,4,6,8,12},{5},{7},{9},{10},{11}} [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[2,3,4,6,5,7,12,8,9,10,11,1]=>{{1,2,3,4,6,7,12},{5},{8},{9},{10},{11}} [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[2,3,4,5,11,6,7,8,9,10,12,1]=>{{1,2,3,4,5,11,12},{6},{7},{8},{9},{10}} [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[2,3,4,5,10,6,7,8,9,12,11,1]=>{{1,2,3,4,5,10,12},{6},{7},{8},{9},{11}} [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[2,3,4,5,9,6,7,8,12,10,11,1]=>{{1,2,3,4,5,9,12},{6},{7},{8},{10},{11}} [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[2,3,4,5,8,6,7,12,9,10,11,1]=>{{1,2,3,4,5,8,12},{6},{7},{9},{10},{11}} [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[2,3,4,5,7,6,12,8,9,10,11,1]=>{{1,2,3,4,5,7,12},{6},{8},{9},{10},{11}} [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[2,3,4,5,6,12,7,8,9,10,11,1]=>{{1,2,3,4,5,6,12},{7},{8},{9},{10},{11}} [[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}} [[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,8,1]=>{{1,2,3,4,5,6,7,9},{8}} [[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,1,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,7,8,1]=>{{1,2,3,4,5,6,9},{7},{8}} [[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[2,3,4,5,6,9,8,1,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[2,3,4,5,6,9,1,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5]=>[2,3,4,5,9,6,7,8,1]=>{{1,2,3,4,5,9},{6},{7},{8}} [[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>[2,3,4,5,9,7,8,1,6]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[2,3,4,5,9,7,1,8,6]=>{{1,2,3,4,5,6,7,9},{8}} [[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[2,3,4,5,9,7,1,6,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>[2,3,4,5,9,1,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>[2,3,4,9,6,7,8,1,5]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4]=>[2,3,4,9,6,7,1,8,5]=>{{1,2,3,4,5,6,7,9},{8}} [[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>[2,3,4,9,6,7,1,5,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[2,3,4,9,6,1,8,5,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[2,3,4,9,6,1,5,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[2,3,4,9,1,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3]=>[2,3,9,5,6,1,7,8,4]=>{{1,2,3,4,5,6,9},{7},{8}} [[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>[2,3,9,5,6,1,8,4,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>[2,3,9,5,6,1,4,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3]=>[2,3,9,5,1,7,4,8,6]=>{{1,2,3,4,5,6,7,9},{8}} [[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>[2,3,9,5,1,7,4,6,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>[2,3,9,5,1,4,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[2,3,9,1,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>[2,9,4,1,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>[2,9,4,1,6,3,5,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[2,9,4,1,3,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[2,9,1,3,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,9,1]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,1,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,8,9,1]=>{{1,2,3,4,5,6,7,10},{8},{9}} [[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,1,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6],[7,8,9,10]]=>[7,8,9,10,1,2,3,4,5,6]=>[2,3,4,5,6,10,7,8,9,1]=>{{1,2,3,4,5,6,10},{7},{8},{9}} [[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[2,3,4,5,6,10,8,9,1,7]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[2,3,4,5,6,10,8,1,9,7]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[2,3,4,5,6,10,8,1,7,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[2,3,4,5,6,10,1,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>[2,3,4,5,10,7,8,9,1,6]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>[2,3,4,5,10,7,8,1,9,6]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>[2,3,4,5,10,7,8,1,6,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[2,3,4,5,10,7,1,9,6,8]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[2,3,4,5,10,7,1,6,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[2,3,4,5,10,1,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[2,3,4,10,6,7,8,1,9,5]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>[2,3,4,10,6,7,8,1,5,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5,6,7],[8,9,10]]=>[8,9,10,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,8,9,5]=>{{1,2,3,4,5,6,7,10},{8},{9}} [[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,9,5,8]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,5,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[2,3,4,10,6,1,8,5,9,7]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[2,3,4,10,6,1,8,5,7,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[2,3,4,10,6,1,5,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[2,3,4,10,1,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5,6],[7,8,9],[10]]=>[10,7,8,9,4,5,6,1,2,3]=>[2,3,10,5,6,1,8,9,4,7]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5,6],[7,8],[9,10]]=>[9,10,7,8,4,5,6,1,2,3]=>[2,3,10,5,6,1,8,4,9,7]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[10,9,7,8,4,5,6,1,2,3]=>[2,3,10,5,6,1,8,4,7,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,4,5,6,1,2,3]=>[2,3,10,5,6,1,4,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,4,5,1,2,3]=>[2,3,10,5,1,7,4,9,6,8]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,4,5,1,2,3]=>[2,3,10,5,1,7,4,6,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,5,1,2,3]=>[2,3,10,5,1,4,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[2,3,10,1,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>[2,10,4,1,6,3,8,5,9,7]=>{{1,2,3,4,5,6,7,8,10},{9}} [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,3,4,1,2]=>[2,10,4,1,6,3,8,5,7,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,3,4,1,2]=>[2,10,4,1,6,3,5,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,4,1,2]=>[2,10,4,1,3,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[2,10,1,3,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11},{12}} [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>{{1,2,3,4,5,6,7,8,9,10,11,12}} [[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}} [[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>{{1,2,4},{3},{5},{6},{7},{8},{9}} [[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>{{1,2,3},{4},{5},{6},{7},{8},{9}} [[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>[2,3,6,4,5,1,7,8,9]=>{{1,2,3,6},{4},{5},{7},{8},{9}} [[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>[3,4,5,2,1,6,7,8,9]=>{{1,3,5},{2,4},{6},{7},{8},{9}} [[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>[2,3,4,8,5,6,7,1,9]=>{{1,2,3,4,8},{5},{6},{7},{9}} [[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>[3,5,4,7,2,6,1,8,9]=>{{1,3,4,7},{2,5},{6},{8},{9}} [[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>[2,6,4,1,5,3,7,8,9]=>{{1,2,3,4,6},{5},{7},{8},{9}} [[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>[4,5,2,6,3,1,7,8,9]=>{{1,4,6},{2,3,5},{7},{8},{9}} [[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>{{1,2,3,4,5},{6},{7},{8},{9}} [[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>[3,6,4,5,9,2,7,8,1]=>{{1,3,4,5,9},{2,6},{7},{8}} [[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>[2,5,4,7,8,6,3,1,9]=>{{1,2,5,8},{3,4,7},{6},{9}} [[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>[4,6,2,5,8,3,7,1,9]=>{{1,4,5,8},{2,3,6},{7},{9}} [[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>[3,5,7,6,1,4,2,8,9]=>{{1,2,3,5,7},{4,6},{8},{9}} [[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>[5,6,2,3,7,4,1,8,9]=>{{1,5,7},{2,3,4,6},{8},{9}} [[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>{{1,2,3,4,5,6},{7},{8},{9}} [[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>[3,5,6,7,8,9,4,2,1]=>{{1,3,6,9},{2,5,8},{4,7}} [[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>[5,7,2,3,6,9,4,8,1]=>{{1,5,6,9},{2,3,4,7},{8}} [[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[2,8,4,1,6,3,7,5,9]=>{{1,2,3,4,5,6,8},{7},{9}} [[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>[4,6,7,8,3,1,5,2,9]=>{{1,2,4,6,8},{3,5,7},{9}} [[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>[6,7,2,3,4,8,5,1,9]=>{{1,6,8},{2,3,4,5,7},{9}} [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>{{1,2,3,4,5,6,7},{8},{9}} [[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>[3,5,9,7,1,8,2,6,4]=>{{1,2,3,4,5,7,9},{6,8}} [[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>[5,7,8,3,9,4,1,6,2]=>{{1,2,5,7,9},{3,4,6,8}} [[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>[7,8,2,3,4,5,9,6,1]=>{{1,7,9},{2,3,4,5,6,8}} [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>[8,1,2,3,4,5,6,7,9]=>{{1,2,3,4,5,6,7,8},{9}} [[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} [[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>[2,4,3,1,5,6,7,8,9,10]=>{{1,2,4},{3},{5},{6},{7},{8},{9},{10}} [[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>[2,3,6,4,5,1,7,8,9,10]=>{{1,2,3,6},{4},{5},{7},{8},{9},{10}} [[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>[3,4,5,2,1,6,7,8,9,10]=>{{1,3,5},{2,4},{6},{7},{8},{9},{10}} [[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>[2,3,4,8,5,6,7,1,9,10]=>{{1,2,3,4,8},{5},{6},{7},{9},{10}} [[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>[3,5,4,7,2,6,1,8,9,10]=>{{1,3,4,7},{2,5},{6},{8},{9},{10}} [[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>[2,6,4,1,5,3,7,8,9,10]=>{{1,2,3,4,6},{5},{7},{8},{9},{10}} [[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>[4,5,2,6,3,1,7,8,9,10]=>{{1,4,6},{2,3,5},{7},{8},{9},{10}} [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>[3,6,4,5,9,2,7,8,1,10]=>{{1,3,4,5,9},{2,6},{7},{8},{10}} [[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>[2,5,4,7,8,6,3,1,9,10]=>{{1,2,5,8},{3,4,7},{6},{9},{10}} [[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>[4,6,2,5,8,3,7,1,9,10]=>{{1,4,5,8},{2,3,6},{7},{9},{10}} [[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>[3,5,7,6,1,4,2,8,9,10]=>{{1,2,3,5,7},{4,6},{8},{9},{10}} [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>[5,6,2,3,7,4,1,8,9,10]=>{{1,5,7},{2,3,4,6},{8},{9},{10}} [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>[2,5,4,8,6,10,7,3,9,1]=>{{1,2,5,6,10},{3,4,8},{7},{9}} [[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>[4,7,2,5,6,10,3,8,9,1]=>{{1,4,5,6,10},{2,3,7},{8},{9}} [[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>[2,3,9,5,6,1,7,8,4,10]=>{{1,2,3,4,5,6,9},{7},{8},{10}} [[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>[3,5,6,7,8,9,4,2,1,10]=>{{1,3,6,9},{2,5,8},{4,7},{10}} [[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>[5,7,2,3,6,9,4,8,1,10]=>{{1,5,6,9},{2,3,4,7},{8},{10}} [[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>[2,8,4,1,6,3,7,5,9,10]=>{{1,2,3,4,5,6,8},{7},{9},{10}} [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>[4,6,7,8,3,1,5,2,9,10]=>{{1,2,4,6,8},{3,5,7},{9},{10}} [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>[6,7,2,3,4,8,5,1,9,10]=>{{1,6,8},{2,3,4,5,7},{9},{10}} [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>{{1,2,3,4,5,6,7},{8},{9},{10}} [[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>[3,6,4,10,8,7,1,5,9,2]=>{{1,2,3,4,6,7,10},{5,8},{9}} [[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>[2,7,4,9,6,3,10,8,5,1]=>{{1,2,7,10},{3,4,5,6,9},{8}} [[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>[4,6,8,7,3,9,10,5,2,1]=>{{1,4,7,10},{2,6,9},{3,5,8}} [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>[6,8,2,3,4,7,10,5,9,1]=>{{1,6,7,10},{2,3,4,5,8},{9}} [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>[3,5,9,7,1,8,2,6,4,10]=>{{1,2,3,4,5,7,9},{6,8},{10}} [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>[5,7,8,3,9,4,1,6,2,10]=>{{1,2,5,7,9},{3,4,6,8},{10}} [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>[7,8,2,3,4,5,9,6,1,10]=>{{1,7,9},{2,3,4,5,6,8},{10}} [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>{{1,2,3,4,5,6,7,8},{9},{10}} [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>[4,6,8,10,9,1,5,2,7,3]=>{{1,2,3,4,6,8,10},{5,7,9}} [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>[6,8,9,3,4,10,5,1,7,2]=>{{1,2,6,8,10},{3,4,5,7,9}} [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>[8,9,2,3,4,5,6,10,7,1]=>{{1,8,10},{2,3,4,5,6,7,9}} [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>{{1,2,3,4,5,6,7,8,9},{10}} [[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]=>{{1,4,5},{2,3},{6},{7},{8},{9}} [[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>{{1,3,4},{2},{5},{6},{7},{8},{9}} [[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>{{1,3,4},{2},{5},{6},{7},{8},{9},{10}} [[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[5,6,7,8,9,1,2,3,4]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>[3,4,5,6,9,1,2,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[2,3,6,7,8,9,1,4,5]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[3,4,5,6,7,8,9,1,2]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[2,3,5,6,7,8,9,1,4]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[2,3,4,5,7,8,9,1,6]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,7,9,1]=>{{1,2,3,4,5,6,8,9},{7}} [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[5,6,7,8,10,1,2,3,4,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[2,6,7,8,9,10,1,3,4,5]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[4,5,6,7,8,9,10,1,2,3]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[2,3,4,7,8,9,10,1,5,6]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[2,4,5,6,7,8,9,10,1,3]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[2,3,4,6,7,8,9,10,1,5]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,9,10,1,7]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}} [[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,7,1,9]=>{{1,2,3,4,5,6,8},{7},{9}} [[1,2,3,4,5,6,9],[7],[8]]=>[8,7,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,1,7,9]=>{{1,2,3,4,5,6,7,8},{9}} [[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[2,8,1,3,4,5,6,7,9]=>{{1,2,3,4,5,6,7,8},{9}} [[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}} [[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[2,3,4,5,6,7,9,8,1,10]=>{{1,2,3,4,5,6,7,9},{8},{10}} []=>[]=>[]=>{} [[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>{{1,2,3},{4},{5},{6},{7},{8},{9}} [[1,3,5,6,7,8,9],[2],[4]]=>[4,2,1,3,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [[1,4,6,7,8,9],[2],[3],[5]]=>[5,3,2,1,4,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]=>{{1,2,3,4,5},{6},{7},{8},{9}} [[1,5,7,8,9],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8,9]=>[5,1,2,3,6,4,7,8,9]=>{{1,2,3,4,5,6},{7},{8},{9}} [[1,6,8,9],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8,9]=>[6,1,2,3,4,7,5,8,9]=>{{1,2,3,4,5,6,7},{8},{9}} [[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>[7,1,2,3,4,5,8,6,9]=>{{1,2,3,4,5,6,7,8},{9}} [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [[1,3,5,6,7,8,9,10],[2],[4]]=>[4,2,1,3,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]=>{{1,3,4,5,6,7,8,9},{2}} [[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[3,1,4,5,6,7,8,9,2]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,4,5,6,7],[2],[8],[9]]=>[9,8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,9,2,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,4,5,6],[2],[7],[8],[9]]=>[9,8,7,2,1,3,4,5,6]=>[3,1,4,5,6,9,2,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>[3,1,4,9,2,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>[3,1,9,2,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]=>{{1,3,4,5,6,7,8,9,10},{2}} [[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>[3,1,4,5,6,7,8,9,10,2]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,10,9,1]=>{{1,3,4,5,6,7,8,10},{2},{9}} [[1,3,4,5,6,7,8],[2],[9],[10]]=>[10,9,2,1,3,4,5,6,7,8]=>[3,1,4,5,6,7,8,10,2,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>[3,7,4,5,10,9,8,1,6,2]=>{{1,2,3,4,5,7,8,10},{6,9}} [[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,1,3,4]=>[3,1,4,10,2,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>{{1,2,3,4,5,6,7,8},{9},{10}} [[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>{{1,2,3,4,5,6,7},{8},{9},{10}} [[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [[1,4,5,6,7,8],[2],[3],[9]]=>[9,3,2,1,4,5,6,7,8]=>[4,1,2,5,6,7,8,9,3]=>{{1,2,3,4,5,6,7,8,9}} [[1,5,6,7,8],[2],[3],[4],[9]]=>[9,4,3,2,1,5,6,7,8]=>[5,1,2,3,6,7,8,9,4]=>{{1,2,3,4,5,6,7,8,9}} [[1,6,7,8],[2],[3],[4],[5],[9]]=>[9,5,4,3,2,1,6,7,8]=>[6,1,2,3,4,7,8,9,5]=>{{1,2,3,4,5,6,7,8,9}} [[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>[7,1,2,3,4,5,8,9,6]=>{{1,2,3,4,5,6,7,8,9}} [[1,4,5,6,7,8,9],[2],[3],[10]]=>[10,3,2,1,4,5,6,7,8,9]=>[4,1,2,5,6,7,8,9,10,3]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,5,6,7,8,9],[2],[3],[4],[10]]=>[10,4,3,2,1,5,6,7,8,9]=>[5,1,2,3,6,7,8,9,10,4]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[10,5,4,3,2,1,6,7,8,9]=>[6,1,2,3,4,7,8,9,10,5]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>[2,5,4,8,9,7,3,1,10,6]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>[10,6,5,4,3,2,1,7,8,9]=>[7,1,2,3,4,5,8,9,10,6]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[10,7,6,5,4,3,2,1,8,9]=>[8,1,2,3,4,5,6,9,10,7]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,2,3,6,7,8,9],[4,5]]=>[4,5,1,2,3,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]=>{{1,2,3,5},{4},{6},{7},{8},{9}} [[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [[1,2,5,6,7,8,9,10],[3],[4]]=>[4,3,1,2,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [[1,2,4,7],[3,6,10],[5,9],[8]]=>[8,5,9,3,6,10,1,2,4,7]=>[2,4,6,7,8,9,10,5,3,1]=>{{1,2,4,7,10},{3,6,9},{5,8}} [[1,2,3,4,7,8,9],[5,6]]=>[5,6,1,2,3,4,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>{{1,2,3,4,6},{5},{7},{8},{9}} [[1,2,5,6,7,8],[3],[4],[9]]=>[9,4,3,1,2,5,6,7,8]=>[2,5,1,3,6,7,8,9,4]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,7,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,1,2,7,8]=>[2,7,1,3,4,5,8,9,6]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[2,4,1,5,6,7,8,9,10,3]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,10,3,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,10,4,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,12,10]=>{{1,2,3,4,5,6,7,8,9,10,11,12}} [[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,1,9,7]=>{{1,2,3,4,5,6,7,8,9}} [[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[2,3,4,5,7,6,8,1,9]=>{{1,2,3,4,5,7,8},{6},{9}} [[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,9,1]=>{{1,2,4,5,6,7,8,9},{3}} [[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,8,7,1]=>{{1,2,3,4,5,6,9},{7,8}} [[1,2,3,4,5,6,7],[8,10],[9]]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]=>{{1,2,3,4,5,6,7,10},{8,9}} [[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9]=>{{1,3,4,5,6,7,8},{2},{9}} [[1,2,3,4,5,8],[6,9],[7]]=>[7,6,9,1,2,3,4,5,8]=>[2,3,4,5,8,7,6,9,1]=>{{1,2,3,4,5,8,9},{6,7}} [[1,2,3,4,5,7,8],[6,9]]=>[6,9,1,2,3,4,5,7,8]=>[2,3,4,5,7,6,8,9,1]=>{{1,2,3,4,5,7,8,9},{6}} [[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>[3,5,6,8,9,7,10,4,2,1]=>{{1,3,6,7,10},{2,5,9},{4,8}} [[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,9,1]=>{{1,4,5,6,7,8,9},{2,3}}
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
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].