Identifier
Mp00255:
Decorated permutations
—lower permutation⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00164: Set partitions —Chen Deng Du Stanley Yan⟶ Set partitions
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00164: Set partitions —Chen Deng Du Stanley Yan⟶ Set partitions
Images
=>
Cc0009;cc-rep-2Cc0009;cc-rep-3
[+]=>[1]=>{{1}}=>{{1}}
[-]=>[1]=>{{1}}=>{{1}}
[+,+]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[-,+]=>[2,1]=>{{1,2}}=>{{1,2}}
[+,-]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[-,-]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[2,1]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[+,+,+]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[-,+,+]=>[2,3,1]=>{{1,2,3}}=>{{1,2,3}}
[+,-,+]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}
[+,+,-]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[-,-,+]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[-,+,-]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[+,-,-]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[-,-,-]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[+,3,2]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[-,3,2]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[2,1,+]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}
[2,1,-]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[2,3,1]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[3,1,2]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[3,+,1]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[3,-,1]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}
[+,+,+,+]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,+,+,+]=>[2,3,4,1]=>{{1,2,3,4}}=>{{1,2,3,4}}
[+,-,+,+]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[+,+,-,+]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[+,+,+,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,-,+,+]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[-,+,-,+]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[-,+,+,-]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[+,-,-,+]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[+,-,+,-]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[+,+,-,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,-,-,+]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[-,-,+,-]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[-,+,-,-]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[+,-,-,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,-,-,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[+,+,4,3]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,+,4,3]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[+,-,4,3]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[-,-,4,3]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[+,3,2,+]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[-,3,2,+]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[+,3,2,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,3,2,-]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[+,3,4,2]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,3,4,2]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[+,4,2,3]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[-,4,2,3]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[+,4,+,2]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[-,4,+,2]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[+,4,-,2]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[-,4,-,2]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[2,1,+,+]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,1,-,+]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,1,+,-]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[2,1,-,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[2,1,4,3]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[2,3,1,+]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,3,1,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[2,3,4,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[2,4,1,3]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[2,4,+,1]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[2,4,-,1]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[3,1,2,+]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[3,1,2,-]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[3,1,4,2]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[3,+,1,+]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[3,-,1,+]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}
[3,+,1,-]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[3,-,1,-]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[3,+,4,1]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[3,-,4,1]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[3,4,1,2]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[3,4,2,1]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[4,1,2,3]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[4,1,+,2]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[4,1,-,2]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[4,+,1,3]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[4,-,1,3]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[4,+,+,1]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[4,-,+,1]=>[3,1,4,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[4,+,-,1]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[4,-,-,1]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[4,3,1,2]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[4,3,2,1]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[+,+,+,+,+]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,+,+,+,+]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[+,-,+,+,+]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[+,+,-,+,+]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[+,+,+,-,+]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[+,+,+,+,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,-,+,+,+]=>[3,4,5,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,+,-,+,+]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>{{1,2,5},{3,4}}
[-,+,+,-,+]=>[2,3,5,1,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,+,+,+,-]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,-,-,+,+]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[+,-,+,-,+]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[+,-,+,+,-]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[+,+,-,-,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[+,+,-,+,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[+,+,+,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,-,-,+,+]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,-,+,-,+]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[-,-,+,+,-]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[-,+,-,-,+]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,+,-,+,-]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[-,+,+,-,-]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,-,-,-,+]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[+,-,-,+,-]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[+,-,+,-,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[+,+,-,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,-,-,-,+]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,-,-,+,-]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[-,-,+,-,-]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[-,+,-,-,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[+,-,-,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,-,-,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[+,+,+,5,4]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,+,+,5,4]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,-,+,5,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[+,+,-,5,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,-,+,5,4]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[-,+,-,5,4]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,-,-,5,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[-,-,-,5,4]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,+,4,3,+]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,+,4,3,+]=>[2,3,5,1,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[+,-,4,3,+]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[+,+,4,3,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,-,4,3,+]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[-,+,4,3,-]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,-,4,3,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,-,4,3,-]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,+,4,5,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,+,4,5,3]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,-,4,5,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,-,4,5,3]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,+,5,3,4]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,+,5,3,4]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,-,5,3,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[-,-,5,3,4]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[+,+,5,+,3]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,+,5,+,3]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}}
[+,-,5,+,3]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[+,+,5,-,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,-,5,+,3]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[-,+,5,-,3]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[+,-,5,-,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[-,-,5,-,3]=>[3,1,2,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[+,3,2,+,+]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[-,3,2,+,+]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>{{1,2,5},{3,4}}
[+,3,2,-,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[+,3,2,+,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,3,2,-,+]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[-,3,2,+,-]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,3,2,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,3,2,-,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[+,3,2,5,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,3,2,5,4]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,3,4,2,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[-,3,4,2,+]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[+,3,4,2,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,3,4,2,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[+,3,4,5,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,3,4,5,2]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[+,3,5,2,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,3,5,2,4]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,3,5,+,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[-,3,5,+,2]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[+,3,5,-,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,3,5,-,2]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[+,4,2,3,+]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,4,2,3,+]=>[2,3,5,1,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[+,4,2,3,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,4,2,3,-]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,4,2,5,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,4,2,5,3]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,4,+,2,+]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[-,4,+,2,+]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[+,4,-,2,+]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[+,4,+,2,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,4,-,2,+]=>[2,5,1,4,3]=>{{1,2,3,5},{4}}=>{{1,2,3,5},{4}}
[-,4,+,2,-]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[+,4,-,2,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,4,-,2,-]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[+,4,+,5,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,4,+,5,2]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[+,4,-,5,2]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,4,-,5,2]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[+,4,5,2,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,4,5,2,3]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[+,4,5,3,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,4,5,3,2]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[+,5,2,3,4]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[-,5,2,3,4]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,5,2,+,3]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[-,5,2,+,3]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}}
[+,5,2,-,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,5,2,-,3]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[+,5,+,2,4]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[-,5,+,2,4]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[+,5,-,2,4]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[-,5,-,2,4]=>[2,4,1,5,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[+,5,+,+,2]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[-,5,+,+,2]=>[3,4,2,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[+,5,-,+,2]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[+,5,+,-,2]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[-,5,-,+,2]=>[4,2,1,5,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[-,5,+,-,2]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[+,5,-,-,2]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[-,5,-,-,2]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[+,5,4,2,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[-,5,4,2,3]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[+,5,4,3,2]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[-,5,4,3,2]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[2,1,+,+,+]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,-,+,+]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[2,1,+,-,+]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,+,+,-]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,-,-,+]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,-,+,-]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,+,-,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,1,-,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[2,1,+,5,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,-,5,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,4,3,+]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,4,3,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,1,4,5,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,1,5,3,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,5,+,3]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[2,1,5,-,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[2,3,1,+,+]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[2,3,1,-,+]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,3,1,+,-]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,3,1,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[2,3,1,5,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,3,4,1,+]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,3,4,1,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[2,3,4,5,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[2,3,5,1,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,3,5,+,1]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[2,3,5,-,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[2,4,1,3,+]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,4,1,3,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,4,1,5,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,4,+,1,+]=>[3,1,5,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[2,4,-,1,+]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[2,4,+,1,-]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[2,4,-,1,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[2,4,+,5,1]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[2,4,-,5,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[2,4,5,1,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,4,5,3,1]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[2,5,1,3,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,5,1,+,3]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[2,5,1,-,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[2,5,+,1,4]=>[3,1,4,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[2,5,-,1,4]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,5,+,+,1]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[2,5,-,+,1]=>[4,1,2,5,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[2,5,+,-,1]=>[3,1,2,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[2,5,-,-,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[2,5,4,1,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[2,5,4,3,1]=>[3,1,2,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[3,1,2,+,+]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,2,-,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,2,+,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,1,2,-,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,1,2,5,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,1,4,2,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,4,2,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,1,4,5,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,1,5,2,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,1,5,+,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[3,1,5,-,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[3,+,1,+,+]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[3,-,1,+,+]=>[1,4,5,3,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,+,1,-,+]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[3,+,1,+,-]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[3,-,1,-,+]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}
[3,-,1,+,-]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[3,+,1,-,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,-,1,-,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[3,+,1,5,4]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[3,-,1,5,4]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[3,+,4,1,+]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[3,-,4,1,+]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}
[3,+,4,1,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,-,4,1,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[3,+,4,5,1]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,-,4,5,1]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[3,+,5,1,4]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[3,-,5,1,4]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[3,+,5,+,1]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[3,-,5,+,1]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}}
[3,+,5,-,1]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[3,-,5,-,1]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[3,4,1,2,+]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,4,1,2,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,4,1,5,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,4,2,1,+]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[3,4,2,1,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,4,2,5,1]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,4,5,1,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,4,5,2,1]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[3,5,1,2,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,5,1,+,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[3,5,1,-,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[3,5,2,1,4]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[3,5,2,+,1]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[3,5,2,-,1]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[3,5,4,1,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[3,5,4,2,1]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[4,1,2,3,+]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,1,2,3,-]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,1,2,5,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,1,+,2,+]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[4,1,-,2,+]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[4,1,+,2,-]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,1,-,2,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[4,1,+,5,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,1,-,5,2]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[4,1,5,2,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,1,5,3,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,+,1,3,+]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[4,-,1,3,+]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[4,+,1,3,-]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[4,-,1,3,-]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[4,+,1,5,3]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[4,-,1,5,3]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[4,+,+,1,+]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[4,-,+,1,+]=>[3,1,5,4,2]=>{{1,2,3,5},{4}}=>{{1,2,3,5},{4}}
[4,+,-,1,+]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[4,+,+,1,-]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[4,-,-,1,+]=>[1,5,4,2,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,-,+,1,-]=>[3,1,4,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[4,+,-,1,-]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[4,-,-,1,-]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[4,+,+,5,1]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[4,-,+,5,1]=>[3,1,4,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[4,+,-,5,1]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[4,-,-,5,1]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[4,+,5,1,3]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[4,-,5,1,3]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[4,+,5,3,1]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[4,-,5,3,1]=>[3,1,4,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[4,3,1,2,+]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[4,3,1,2,-]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[4,3,1,5,2]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[4,3,2,1,+]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[4,3,2,1,-]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[4,3,2,5,1]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[4,3,5,1,2]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[4,3,5,2,1]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[4,5,1,2,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,5,1,3,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,5,2,1,3]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[4,5,2,3,1]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[4,5,+,1,2]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[4,5,-,1,2]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[4,5,+,2,1]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[4,5,-,2,1]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,1,2,3,4]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,1,2,+,3]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[5,1,2,-,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[5,1,+,2,4]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[5,1,-,2,4]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[5,1,+,+,2]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,1,-,+,2]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,1,+,-,2]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[5,1,-,-,2]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[5,1,4,2,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[5,1,4,3,2]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[5,+,1,3,4]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[5,-,1,3,4]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,+,1,+,3]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[5,-,1,+,3]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}
[5,+,1,-,3]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[5,-,1,-,3]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,+,+,1,4]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[5,-,+,1,4]=>[3,1,4,5,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[5,+,-,1,4]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,-,-,1,4]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[5,+,+,+,1]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[5,-,+,+,1]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[5,+,-,+,1]=>[2,4,1,5,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[5,+,+,-,1]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[5,-,-,+,1]=>[4,1,5,2,3]=>{{1,2,4},{3,5}}=>{{1,2,5},{3,4}}
[5,-,+,-,1]=>[3,1,5,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[5,+,-,-,1]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,-,-,-,1]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,+,4,1,3]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[5,-,4,1,3]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,+,4,3,1]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[5,-,4,3,1]=>[3,1,5,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[5,3,1,2,4]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[5,3,1,+,2]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[5,3,1,-,2]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[5,3,2,1,4]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,3,2,+,1]=>[2,4,1,5,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[5,3,2,-,1]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,3,4,1,2]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[5,3,4,2,1]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
[5,4,1,2,3]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[5,4,1,3,2]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[5,4,2,1,3]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[5,4,2,3,1]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[5,4,+,1,2]=>[3,1,2,5,4]=>{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
[5,4,-,1,2]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[5,4,+,2,1]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[5,4,-,2,1]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[+,+,+,+,+,+]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,+,+,+,+]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,-,+,+,+,+]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,+,-,+,+,+]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,+,+,-,+,+]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[+,+,+,+,-,+]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[+,+,+,+,+,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,+,+,+,+]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[-,+,-,+,+,+]=>[2,4,5,6,1,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,+,-,+,+]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[-,+,+,+,-,+]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,+,+,+,-]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,-,+,+,+]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,+,-,+,+]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[+,-,+,+,-,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,+,+,+,-]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,-,-,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[+,+,-,+,-,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,+,-,+,+,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[+,+,+,-,-,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[+,+,+,-,+,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[+,+,+,+,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,-,+,+,+]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[-,-,+,-,+,+]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[-,-,+,+,-,+]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,-,+,+,+,-]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,-,-,+,+]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,-,+,-,+]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[-,+,-,+,+,-]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[-,+,+,-,-,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,+,-,+,-]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,+,+,-,-]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,-,-,+,+]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,-,+,-,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[+,-,-,+,+,-]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[+,-,+,-,-,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,+,-,+,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,-,+,+,-,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[+,+,-,-,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,+,-,-,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[+,+,-,+,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[+,+,+,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,-,-,+,+]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[-,-,-,+,-,+]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,-,-,+,+,-]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,-,+,-,-,+]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[-,-,+,-,+,-]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[-,-,+,+,-,-]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[-,+,-,-,-,+]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,-,-,+,-]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,-,+,-,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[-,+,+,-,-,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,-,-,-,-,+]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,-,-,+,-]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,-,-,+,-,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[+,-,+,-,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[+,+,-,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,-,-,-,+]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,-,-,-,+,-]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,-,-,+,-,-]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[-,-,+,-,-,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[-,+,-,-,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[+,-,-,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,-,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[+,+,+,+,6,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,+,+,6,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,+,+,6,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,-,+,6,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[+,+,+,-,6,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,-,+,+,6,5]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,-,+,6,5]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[-,+,+,-,6,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,-,+,6,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[+,-,+,-,6,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,-,-,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,-,-,+,6,5]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,-,+,-,6,5]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[-,+,-,-,6,5]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,-,-,6,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,-,-,-,6,5]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,+,+,5,4,+]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,+,+,5,4,+]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,-,+,5,4,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,+,-,5,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,+,+,5,4,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,+,5,4,+]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,-,5,4,+]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[-,+,+,5,4,-]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,-,5,4,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[+,-,+,5,4,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[+,+,-,5,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,-,-,5,4,+]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,-,+,5,4,-]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[-,+,-,5,4,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,-,5,4,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,-,-,5,4,-]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,+,+,5,6,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,+,5,6,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,+,5,6,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[+,+,-,5,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,-,+,5,6,4]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[-,+,-,5,6,4]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,-,5,6,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,-,-,5,6,4]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,+,+,6,4,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,+,6,4,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,+,6,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,-,6,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,-,+,6,4,5]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,-,6,4,5]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[+,-,-,6,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[-,-,-,6,4,5]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,+,+,6,+,4]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,+,+,6,+,4]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[+,-,+,6,+,4]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[+,+,-,6,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[+,+,+,6,-,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,-,+,6,+,4]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>{{1,4},{2,3,5},{6}}
[-,+,-,6,+,4]=>[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,+,6,-,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,-,-,6,+,4]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,-,+,6,-,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[+,+,-,6,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,-,-,6,+,4]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[-,-,+,6,-,4]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[-,+,-,6,-,4]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,-,-,6,-,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,-,-,6,-,4]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,+,4,3,+,+]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,+,4,3,+,+]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[+,-,4,3,+,+]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[+,+,4,3,-,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[+,+,4,3,+,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,-,4,3,+,+]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[-,+,4,3,-,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,4,3,+,-]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,4,3,-,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,-,4,3,+,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,4,3,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,4,3,-,+]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[-,-,4,3,+,-]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[-,+,4,3,-,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,-,4,3,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,-,4,3,-,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,+,4,3,6,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,+,4,3,6,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,4,3,6,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,-,4,3,6,5]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[+,+,4,5,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,+,4,5,3,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,-,4,5,3,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,+,4,5,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,4,5,3,+]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[-,+,4,5,3,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,-,4,5,3,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,-,4,5,3,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,+,4,5,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,4,5,6,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,-,4,5,6,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,-,4,5,6,3]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,+,4,6,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,+,4,6,3,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,4,6,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,-,4,6,3,5]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[+,+,4,6,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,+,4,6,+,3]=>[2,5,3,1,4,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[+,-,4,6,+,3]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[+,+,4,6,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,-,4,6,+,3]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,+,4,6,-,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[+,-,4,6,-,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,-,4,6,-,3]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[+,+,5,3,4,+]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,+,5,3,4,+]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,-,5,3,4,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,+,5,3,4,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,-,5,3,4,+]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,+,5,3,4,-]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,5,3,4,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,-,5,3,4,-]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[+,+,5,3,6,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,5,3,6,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,5,3,6,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,-,5,3,6,4]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[+,+,5,+,3,+]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,+,5,+,3,+]=>[2,4,3,6,1,5]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[+,-,5,+,3,+]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[+,+,5,-,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[+,+,5,+,3,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,-,5,+,3,+]=>[4,3,6,1,2,5]=>{{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}}
[-,+,5,-,3,+]=>[2,3,6,1,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[-,+,5,+,3,-]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,-,5,-,3,+]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[+,-,5,+,3,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[+,+,5,-,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,-,5,-,3,+]=>[3,6,1,2,5,4]=>{{1,3},{2,4,6},{5}}=>{{1,4,6},{2,3},{5}}
[-,-,5,+,3,-]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[-,+,5,-,3,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,-,5,-,3,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,-,5,-,3,-]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,+,5,+,6,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,+,5,+,6,3]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,-,5,+,6,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[+,+,5,-,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,-,5,+,6,3]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[-,+,5,-,6,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,-,5,-,6,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,-,5,-,6,3]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,+,5,6,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,5,6,3,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,-,5,6,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,-,5,6,3,4]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[+,+,5,6,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,+,5,6,4,3]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,-,5,6,4,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[-,-,5,6,4,3]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,+,6,3,4,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,+,6,3,4,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,6,3,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,-,6,3,4,5]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,+,6,3,+,4]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,+,6,3,+,4]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[+,-,6,3,+,4]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[+,+,6,3,-,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,-,6,3,+,4]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>{{1,4},{2,3,5},{6}}
[-,+,6,3,-,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,-,6,3,-,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,-,6,3,-,4]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[+,+,6,+,3,5]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,+,6,+,3,5]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[+,-,6,+,3,5]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[+,+,6,-,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,-,6,+,3,5]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[-,+,6,-,3,5]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,-,6,-,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[-,-,6,-,3,5]=>[3,5,1,2,6,4]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[+,+,6,+,+,3]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,+,6,+,+,3]=>[2,4,5,3,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,-,6,+,+,3]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,+,6,-,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,+,6,+,-,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,-,6,+,+,3]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[-,+,6,-,+,3]=>[2,5,3,1,6,4]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[-,+,6,+,-,3]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[+,-,6,-,+,3]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[+,-,6,+,-,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[+,+,6,-,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,-,6,-,+,3]=>[5,3,1,2,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,-,6,+,-,3]=>[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[-,+,6,-,-,3]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,-,6,-,-,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,-,6,-,-,3]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,+,6,5,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,+,6,5,3,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,-,6,5,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,-,6,5,3,4]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[+,+,6,5,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,+,6,5,4,3]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[+,-,6,5,4,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[-,-,6,5,4,3]=>[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,3,2,+,+,+]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,3,2,+,+,+]=>[2,4,5,6,1,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,3,2,-,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[+,3,2,+,-,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,3,2,+,+,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,2,-,+,+]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,3,2,+,-,+]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[-,3,2,+,+,-]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[+,3,2,-,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,3,2,-,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[+,3,2,+,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,2,-,-,+]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,3,2,-,+,-]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[-,3,2,+,-,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,2,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,3,2,-,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[+,3,2,+,6,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,2,+,6,5]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[+,3,2,-,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,2,-,6,5]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,2,5,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,3,2,5,4,+]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[+,3,2,5,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,2,5,4,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,2,5,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,2,5,6,4]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,2,6,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,2,6,4,5]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[+,3,2,6,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[-,3,2,6,+,4]=>[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,2,6,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,3,2,6,-,4]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,3,4,2,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[-,3,4,2,+,+]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,3,4,2,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,3,4,2,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,4,2,-,+]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,3,4,2,+,-]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,4,2,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,3,4,2,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[+,3,4,2,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,4,2,6,5]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,4,5,2,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,3,4,5,2,+]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,3,4,5,2,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,3,4,5,2,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[+,3,4,5,6,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,3,4,5,6,2]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[+,3,4,6,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,4,6,2,5]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,4,6,+,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,3,4,6,+,2]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,3,4,6,-,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,3,4,6,-,2]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[+,3,5,2,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,3,5,2,4,+]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[+,3,5,2,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,5,2,4,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,5,2,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,5,2,6,4]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,5,+,2,+]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[-,3,5,+,2,+]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}}
[+,3,5,-,2,+]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[+,3,5,+,2,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,3,5,-,2,+]=>[2,6,1,3,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[-,3,5,+,2,-]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,3,5,-,2,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,3,5,-,2,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[+,3,5,+,6,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,3,5,+,6,2]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,3,5,-,6,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,3,5,-,6,2]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[+,3,5,6,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,3,5,6,2,4]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,3,5,6,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,3,5,6,4,2]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,3,6,2,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,3,6,2,4,5]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[+,3,6,2,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[-,3,6,2,+,4]=>[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,3,6,2,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,3,6,2,-,4]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,3,6,+,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,3,6,+,2,5]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[+,3,6,-,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,3,6,-,2,5]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,3,6,+,+,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[-,3,6,+,+,2]=>[4,5,2,1,3,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[+,3,6,-,+,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,3,6,+,-,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,3,6,-,+,2]=>[5,2,1,3,6,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[-,3,6,+,-,2]=>[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[+,3,6,-,-,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,3,6,-,-,2]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[+,3,6,5,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,3,6,5,2,4]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,3,6,5,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,3,6,5,4,2]=>[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[+,4,2,3,+,+]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,4,2,3,+,+]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[+,4,2,3,-,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[+,4,2,3,+,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,4,2,3,-,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,4,2,3,+,-]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,2,3,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,2,3,-,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,2,3,6,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,4,2,3,6,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,2,5,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,4,2,5,3,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,4,2,5,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,2,5,3,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,2,5,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,2,5,6,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,2,6,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,4,2,6,3,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,2,6,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,4,2,6,+,3]=>[2,5,3,1,4,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[+,4,2,6,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,4,2,6,-,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[+,4,+,2,+,+]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,4,+,2,+,+]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>{{1,3,6},{2},{4,5}}
[+,4,-,2,+,+]=>[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,4,+,2,-,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[+,4,+,2,+,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,4,-,2,+,+]=>[2,5,6,1,4,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[-,4,+,2,-,+]=>[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[-,4,+,2,+,-]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,4,-,2,-,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[+,4,-,2,+,-]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[+,4,+,2,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,-,2,-,+]=>[2,6,1,4,3,5]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[-,4,-,2,+,-]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[-,4,+,2,-,-]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,-,2,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,4,-,2,-,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[+,4,+,2,6,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,4,+,2,6,5]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,4,-,2,6,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[-,4,-,2,6,5]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[+,4,+,5,2,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,4,+,5,2,+]=>[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,4,-,5,2,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[+,4,+,5,2,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,-,5,2,+]=>[2,6,1,4,3,5]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[-,4,+,5,2,-]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,-,5,2,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,4,-,5,2,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[+,4,+,5,6,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,+,5,6,2]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,-,5,6,2]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,4,-,5,6,2]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[+,4,+,6,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,4,+,6,2,5]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,4,-,6,2,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[-,4,-,6,2,5]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[+,4,+,6,+,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,4,+,6,+,2]=>[3,5,2,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,-,6,+,2]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[+,4,+,6,-,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,4,-,6,+,2]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}}=>{{1,3,5},{2},{4},{6}}
[-,4,+,6,-,2]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[+,4,-,6,-,2]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,4,-,6,-,2]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[+,4,5,2,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,4,5,2,3,+]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,4,5,2,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,5,2,3,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,5,2,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,5,2,6,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,5,3,2,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,4,5,3,2,+]=>[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,4,5,3,2,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,5,3,2,-]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,5,3,6,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,5,3,6,2]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,5,6,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,4,5,6,2,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[+,4,5,6,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,4,5,6,3,2]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[+,4,6,2,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,4,6,2,3,5]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,6,2,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,4,6,2,+,3]=>[2,5,3,1,4,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[+,4,6,2,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,4,6,2,-,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[+,4,6,3,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,4,6,3,2,5]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,4,6,3,+,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,4,6,3,+,2]=>[3,5,2,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,4,6,3,-,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,4,6,3,-,2]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[+,4,6,5,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,4,6,5,2,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[+,4,6,5,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,4,6,5,3,2]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[+,5,2,3,4,+]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,5,2,3,4,+]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,5,2,3,4,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,5,2,3,4,-]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,2,3,6,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,5,2,3,6,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,2,+,3,+]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,5,2,+,3,+]=>[2,4,3,6,1,5]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[+,5,2,-,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[+,5,2,+,3,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,5,2,-,3,+]=>[2,3,6,1,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[-,5,2,+,3,-]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,5,2,-,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,5,2,-,3,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,5,2,+,6,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,5,2,+,6,3]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,5,2,-,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,5,2,-,6,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,5,2,6,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,5,2,6,3,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,2,6,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,5,2,6,4,3]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,5,+,2,4,+]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,5,+,2,4,+]=>[3,2,4,6,1,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,5,-,2,4,+]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[+,5,+,2,4,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,5,-,2,4,+]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>{{1,2,6},{3,4},{5}}
[-,5,+,2,4,-]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,5,-,2,4,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,5,-,2,4,-]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,5,+,2,6,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,5,+,2,6,4]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,5,-,2,6,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,5,-,2,6,4]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,5,+,+,2,+]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,5,+,+,2,+]=>[3,4,2,6,1,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,5,-,+,2,+]=>[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[+,5,+,-,2,+]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[+,5,+,+,2,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,5,-,+,2,+]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[-,5,+,-,2,+]=>[3,2,6,1,5,4]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[-,5,+,+,2,-]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,-,-,2,+]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,5,-,+,2,-]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,5,+,-,2,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,5,-,-,2,+]=>[2,6,1,5,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,5,-,+,2,-]=>[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[-,5,+,-,2,-]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[+,5,-,-,2,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,5,-,-,2,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[+,5,+,+,6,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,5,+,+,6,2]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,-,+,6,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[+,5,+,-,6,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,5,-,+,6,2]=>[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[-,5,+,-,6,2]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[+,5,-,-,6,2]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,5,-,-,6,2]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[+,5,+,6,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,5,+,6,2,4]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,5,-,6,2,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,5,-,6,2,4]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,5,+,6,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,5,+,6,4,2]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,-,6,4,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,5,-,6,4,2]=>[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,5,4,2,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[-,5,4,2,3,+]=>[2,3,6,1,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[+,5,4,2,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,5,4,2,3,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,5,4,2,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,5,4,2,6,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,5,4,3,2,+]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[-,5,4,3,2,+]=>[3,2,6,1,5,4]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[+,5,4,3,2,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,5,4,3,2,-]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[+,5,4,3,6,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,5,4,3,6,2]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[+,5,4,6,2,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,5,4,6,2,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[+,5,4,6,3,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,5,4,6,3,2]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[+,5,6,2,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,5,6,2,3,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,6,2,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,5,6,2,4,3]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[+,5,6,3,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,5,6,3,2,4]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[+,5,6,3,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,5,6,3,4,2]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[+,5,6,+,2,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,5,6,+,2,3]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[+,5,6,-,2,3]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,5,6,-,2,3]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,5,6,+,3,2]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[-,5,6,+,3,2]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}
[+,5,6,-,3,2]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,5,6,-,3,2]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[+,6,2,3,4,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[-,6,2,3,4,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,6,2,3,+,4]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[-,6,2,3,+,4]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[+,6,2,3,-,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,6,2,3,-,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,2,+,3,5]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[-,6,2,+,3,5]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[+,6,2,-,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,6,2,-,3,5]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,6,2,+,+,3]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[-,6,2,+,+,3]=>[2,4,5,3,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,6,2,-,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[+,6,2,+,-,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,6,2,-,+,3]=>[2,5,3,1,6,4]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[-,6,2,+,-,3]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[+,6,2,-,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,6,2,-,-,3]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,6,2,5,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,6,2,5,3,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,2,5,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,6,2,5,4,3]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[+,6,+,2,4,5]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[-,6,+,2,4,5]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[+,6,-,2,4,5]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,6,-,2,4,5]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[+,6,+,2,+,4]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[-,6,+,2,+,4]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>{{1,3,5},{2},{4},{6}}
[+,6,-,2,+,4]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[+,6,+,2,-,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,6,-,2,+,4]=>[2,5,4,1,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,6,+,2,-,4]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[+,6,-,2,-,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,6,-,2,-,4]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,6,+,+,2,5]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[-,6,+,+,2,5]=>[3,4,2,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[+,6,-,+,2,5]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,6,+,-,2,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,6,-,+,2,5]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}}
[-,6,+,-,2,5]=>[3,2,5,1,6,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,6,-,-,2,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[-,6,-,-,2,5]=>[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[+,6,+,+,+,2]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[-,6,+,+,+,2]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[+,6,-,+,+,2]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[+,6,+,-,+,2]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,6,+,+,-,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,6,-,+,+,2]=>[4,5,2,1,6,3]=>{{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}}
[-,6,+,-,+,2]=>[3,5,2,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[-,6,+,+,-,2]=>[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,-,-,+,2]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[+,6,-,+,-,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[+,6,+,-,-,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,6,-,-,+,2]=>[5,2,1,6,3,4]=>{{1,3,5},{2},{4,6}}=>{{1,3,6},{2},{4,5}}
[-,6,-,+,-,2]=>[4,2,1,6,3,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[-,6,+,-,-,2]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[+,6,-,-,-,2]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,6,-,-,-,2]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[+,6,+,5,2,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,6,+,5,2,4]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[+,6,-,5,2,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,6,-,5,2,4]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,6,+,5,4,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,6,+,5,4,2]=>[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,-,5,4,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[-,6,-,5,4,2]=>[4,2,1,6,3,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,6,4,2,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,6,4,2,3,5]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,6,4,2,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[-,6,4,2,+,3]=>[2,5,3,1,6,4]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[+,6,4,2,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,6,4,2,-,3]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,6,4,3,2,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,6,4,3,2,5]=>[3,2,5,1,6,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[+,6,4,3,+,2]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[-,6,4,3,+,2]=>[3,5,2,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[+,6,4,3,-,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,6,4,3,-,2]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[+,6,4,5,2,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[-,6,4,5,2,3]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[+,6,4,5,3,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[-,6,4,5,3,2]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[+,6,5,2,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[-,6,5,2,3,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,5,2,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[-,6,5,2,4,3]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[+,6,5,3,2,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[-,6,5,3,2,4]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[+,6,5,3,4,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,6,5,3,4,2]=>[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[+,6,5,+,2,3]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[-,6,5,+,2,3]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[+,6,5,-,2,3]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[-,6,5,-,2,3]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[+,6,5,+,3,2]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[-,6,5,+,3,2]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}
[+,6,5,-,3,2]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[-,6,5,-,3,2]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[2,1,+,+,+,+]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,-,+,+,+]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,+,-,+,+]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,1,+,+,-,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,+,+,+,-]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,-,-,+,+]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,-,+,-,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,1,-,+,+,-]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,1,+,-,-,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,+,-,+,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,+,+,-,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,-,-,-,+]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,-,-,+,-]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,-,+,-,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,+,-,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,1,-,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,1,+,+,6,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,-,+,6,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,1,+,-,6,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,-,-,6,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,+,5,4,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,-,5,4,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,1,+,5,4,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,-,5,4,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,+,5,6,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,-,5,6,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,+,6,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,-,6,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,1,+,6,+,4]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,1,-,6,+,4]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,+,6,-,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,1,-,6,-,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,1,4,3,+,+]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,1,4,3,-,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,4,3,+,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,4,3,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,1,4,3,6,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,4,5,3,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,4,5,3,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,1,4,5,6,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,1,4,6,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,4,6,+,3]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[2,1,4,6,-,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[2,1,5,3,4,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,5,3,4,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,5,3,6,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,5,+,3,+]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[2,1,5,-,3,+]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,1,5,+,3,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,1,5,-,3,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,1,5,+,6,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,1,5,-,6,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,1,5,6,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,5,6,4,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,1,6,3,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,6,3,+,4]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,1,6,3,-,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,1,6,+,3,5]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[2,1,6,-,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,6,+,+,3]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,6,-,+,3]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[2,1,6,+,-,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[2,1,6,-,-,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,1,6,5,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,1,6,5,4,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[2,3,1,+,+,+]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,-,+,+]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,+,-,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,3,1,+,+,-]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,3,1,-,-,+]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,-,+,-]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,1,+,-,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,1,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,3,1,+,6,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,3,1,-,6,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,1,5,4,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,3,1,5,4,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,1,5,6,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,1,6,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,3,1,6,+,4]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,1,6,-,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,3,4,1,+,+]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,1,-,+]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,1,+,-]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,4,1,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,3,4,1,6,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,4,5,1,+]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,5,1,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,4,6,+,1]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,3,4,6,-,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[2,3,5,1,4,+]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,3,5,1,4,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,5,1,6,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,5,+,1,+]=>[4,1,6,2,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[2,3,5,-,1,+]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,3,5,+,1,-]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,3,5,-,1,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[2,3,5,+,6,1]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,3,5,-,6,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,5,6,4,1]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,3,6,1,+,4]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,6,1,-,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,3,6,+,1,5]=>[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[2,3,6,-,1,5]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,6,+,+,1]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,3,6,-,+,1]=>[5,1,2,3,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,3,6,+,-,1]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,3,6,-,-,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,3,6,5,4,1]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,4,1,3,+,+]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,4,1,3,-,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,4,1,3,+,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,4,1,3,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,1,3,6,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,4,1,5,3,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,4,1,5,3,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,1,5,6,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,1,6,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,4,1,6,+,3]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[2,4,1,6,-,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[2,4,+,1,+,+]=>[3,1,5,6,2,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[2,4,-,1,+,+]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[2,4,+,1,-,+]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,4,+,1,+,-]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,4,-,1,-,+]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,-,1,+,-]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,4,+,1,-,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,-,1,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[2,4,+,1,6,5]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,4,-,1,6,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,4,+,5,1,+]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,4,-,5,1,+]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,+,5,1,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,-,5,1,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[2,4,+,5,6,1]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,-,5,6,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[2,4,+,6,1,5]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,4,-,6,1,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,4,+,6,+,1]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[2,4,-,6,+,1]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[2,4,+,6,-,1]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[2,4,-,6,-,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[2,4,5,1,3,+]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,4,5,1,3,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,5,1,6,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,5,3,1,+]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,4,5,3,1,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,5,3,6,1]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,5,6,3,1]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,4,6,1,+,3]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[2,4,6,1,-,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[2,4,6,3,1,5]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,4,6,3,+,1]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[2,4,6,3,-,1]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[2,4,6,5,3,1]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[2,5,1,3,4,+]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,1,3,4,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,5,1,3,6,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,5,1,+,3,+]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[2,5,1,-,3,+]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,5,1,+,3,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,5,1,-,3,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,1,+,6,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,5,1,-,6,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,1,6,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,5,1,6,4,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,5,+,1,4,+]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,5,-,1,4,+]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[2,5,+,1,4,-]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,5,-,1,4,-]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,5,+,1,6,4]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,5,-,1,6,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,5,+,+,1,+]=>[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[2,5,-,+,1,+]=>[4,1,6,2,5,3]=>{{1,2,4},{3,6},{5}}=>{{1,2,6},{3,4},{5}}
[2,5,+,-,1,+]=>[3,1,6,2,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[2,5,+,+,1,-]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[2,5,-,-,1,+]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,-,+,1,-]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,5,+,-,1,-]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[2,5,-,-,1,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[2,5,+,+,6,1]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[2,5,-,+,6,1]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,5,+,-,6,1]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[2,5,-,-,6,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[2,5,+,6,1,4]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,5,-,6,1,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,5,+,6,4,1]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[2,5,-,6,4,1]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,5,4,1,3,+]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,5,4,1,3,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,4,1,6,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,4,3,1,+]=>[3,1,6,2,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[2,5,4,3,1,-]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[2,5,4,3,6,1]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,4,6,3,1]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,5,6,1,4,3]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[2,5,6,3,1,4]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,5,6,3,4,1]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[2,5,6,+,1,3]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[2,5,6,-,1,3]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,5,6,+,3,1]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[2,5,6,-,3,1]=>[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,6,1,3,+,4]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,6,1,3,-,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,6,1,+,3,5]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[2,6,1,-,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,1,+,+,3]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,6,1,-,+,3]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[2,6,1,+,-,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[2,6,1,-,-,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,6,1,5,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,6,1,5,4,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[2,6,+,1,4,5]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,6,-,1,4,5]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,6,+,1,+,4]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[2,6,-,1,+,4]=>[1,5,4,2,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,+,1,-,4]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,6,-,1,-,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,+,+,1,5]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[2,6,-,+,1,5]=>[4,1,5,2,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[2,6,+,-,1,5]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,6,-,-,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,+,+,+,1]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[2,6,-,+,+,1]=>[4,5,1,2,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,6,+,-,+,1]=>[3,5,1,2,6,4]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[2,6,+,+,-,1]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[2,6,-,-,+,1]=>[5,1,2,6,3,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[2,6,-,+,-,1]=>[4,1,2,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,6,+,-,-,1]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[2,6,-,-,-,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,6,+,5,1,4]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,6,-,5,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,+,5,4,1]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[2,6,-,5,4,1]=>[4,1,2,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,4,1,+,3]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[2,6,4,1,-,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,6,4,3,1,5]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,6,4,3,+,1]=>[3,5,1,2,6,4]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[2,6,4,3,-,1]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,6,4,5,3,1]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,6,5,1,4,3]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[2,6,5,3,1,4]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,6,5,3,4,1]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[2,6,5,+,1,3]=>[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[2,6,5,-,1,3]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[2,6,5,+,3,1]=>[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[2,6,5,-,3,1]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[3,1,2,+,+,+]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,-,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,1,2,+,-,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,+,+,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,-,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,-,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,+,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,2,-,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,1,2,+,6,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,-,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,5,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,5,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,2,5,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,2,6,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,6,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[3,1,2,6,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,1,4,2,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,1,4,2,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,4,2,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,4,2,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,1,4,2,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,4,5,2,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,4,5,2,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,1,4,5,6,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,1,4,6,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,4,6,+,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,1,4,6,-,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,1,5,2,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,5,2,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,5,2,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,5,+,2,+]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,5,-,2,+]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,1,5,+,2,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,1,5,-,2,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,1,5,+,6,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,1,5,-,6,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,1,5,6,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,1,5,6,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,1,6,2,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,6,2,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[3,1,6,2,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,1,6,+,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,1,6,-,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,6,+,+,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[3,1,6,-,+,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,6,+,-,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,1,6,-,-,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,1,6,5,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,1,6,5,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,+,1,+,+,+]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,-,1,+,+,+]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>{{1},{2,6},{3,4,5}}
[3,+,1,-,+,+]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[3,+,1,+,-,+]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,+,1,+,+,-]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,1,-,+,+]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}}
[3,-,1,+,-,+]=>[1,4,6,3,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,-,1,+,+,-]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,+,1,-,-,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,+,1,-,+,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,+,1,+,-,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,1,-,-,+]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[3,-,1,-,+,-]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[3,-,1,+,-,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,1,-,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,-,1,-,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[3,+,1,+,6,5]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,1,+,6,5]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,+,1,-,6,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,1,-,6,5]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[3,+,1,5,4,+]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,-,1,5,4,+]=>[1,4,6,3,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,+,1,5,4,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,1,5,4,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,1,5,6,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,1,5,6,4]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,1,6,4,5]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,1,6,4,5]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,+,1,6,+,4]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[3,-,1,6,+,4]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}
[3,+,1,6,-,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,-,1,6,-,4]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[3,+,4,1,+,+]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[3,-,4,1,+,+]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}}
[3,+,4,1,-,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,+,4,1,+,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,4,1,-,+]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[3,-,4,1,+,-]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[3,+,4,1,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,-,4,1,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[3,+,4,1,6,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,4,1,6,5]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[3,+,4,5,1,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,-,4,5,1,+]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[3,+,4,5,1,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,-,4,5,1,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[3,+,4,5,6,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,-,4,5,6,1]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[3,+,4,6,1,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,4,6,1,5]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[3,+,4,6,+,1]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,-,4,6,+,1]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[3,+,4,6,-,1]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[3,-,4,6,-,1]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[3,+,5,1,4,+]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,-,5,1,4,+]=>[1,4,6,3,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,+,5,1,4,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,5,1,4,-]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,5,1,6,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,5,1,6,4]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,5,+,1,+]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,-,5,+,1,+]=>[4,1,6,3,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,+,5,-,1,+]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[3,+,5,+,1,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,-,5,-,1,+]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}}
[3,-,5,+,1,-]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[3,+,5,-,1,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,-,5,-,1,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[3,+,5,+,6,1]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,-,5,+,6,1]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[3,+,5,-,6,1]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,-,5,-,6,1]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[3,+,5,6,1,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,-,5,6,1,4]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[3,+,5,6,4,1]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,-,5,6,4,1]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[3,+,6,1,4,5]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,-,6,1,4,5]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,+,6,1,+,4]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[3,-,6,1,+,4]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}
[3,+,6,1,-,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,-,6,1,-,4]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[3,+,6,+,1,5]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,-,6,+,1,5]=>[4,1,5,3,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,+,6,-,1,5]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,-,6,-,1,5]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[3,+,6,+,+,1]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[3,-,6,+,+,1]=>[4,5,1,3,2,6]=>{{1,3,4},{2,5},{6}}=>{{1,4},{2,3,5},{6}}
[3,+,6,-,+,1]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,+,6,+,-,1]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,-,6,-,+,1]=>[5,1,3,2,6,4]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[3,-,6,+,-,1]=>[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[3,+,6,-,-,1]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[3,-,6,-,-,1]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[3,+,6,5,1,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,-,6,5,1,4]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[3,+,6,5,4,1]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,-,6,5,4,1]=>[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[3,4,1,2,+,+]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,4,1,2,-,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,1,2,+,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,1,2,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,1,2,6,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,1,5,2,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,1,5,2,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,1,5,6,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,1,6,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,1,6,+,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,4,1,6,-,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,4,2,1,+,+]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[3,4,2,1,-,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,4,2,1,+,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,4,2,1,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,2,1,6,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,4,2,5,1,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,4,2,5,1,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,2,5,6,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,2,6,1,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,4,2,6,+,1]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,4,2,6,-,1]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[3,4,5,1,2,+]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,5,1,2,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,5,1,6,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,5,2,1,+]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,4,5,2,1,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,5,2,6,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,5,6,2,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,6,1,+,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,4,6,1,-,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,4,6,2,1,5]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,4,6,2,+,1]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,4,6,2,-,1]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,4,6,5,2,1]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[3,5,1,2,4,+]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,5,1,2,4,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,1,2,6,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,1,+,2,+]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,5,1,-,2,+]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,1,+,2,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,1,-,2,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,1,+,6,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,1,-,6,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,1,6,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,1,6,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,2,1,4,+]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,5,2,1,4,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,5,2,1,6,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,5,2,+,1,+]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,5,2,-,1,+]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[3,5,2,+,1,-]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,5,2,-,1,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,5,2,+,6,1]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,5,2,-,6,1]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,5,2,6,1,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,5,2,6,4,1]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,5,4,1,2,+]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,4,1,2,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,4,1,6,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,4,2,1,+]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[3,5,4,2,1,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,5,4,2,6,1]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,4,6,2,1]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,6,2,1,4]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[3,5,6,2,4,1]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,5,6,+,1,2]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[3,5,6,-,1,2]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,5,6,+,2,1]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[3,5,6,-,2,1]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,6,1,2,+,4]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[3,6,1,2,-,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,6,1,+,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,6,1,-,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,1,+,+,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[3,6,1,-,+,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,1,+,-,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,6,1,-,-,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,1,5,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,6,1,5,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,6,2,1,4,5]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[3,6,2,1,+,4]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[3,6,2,1,-,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,6,2,+,1,5]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[3,6,2,-,1,5]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,6,2,+,+,1]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[3,6,2,-,+,1]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,6,2,+,-,1]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,6,2,-,-,1]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[3,6,2,5,1,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,6,2,5,4,1]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,4,1,+,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,4,1,-,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,4,2,1,5]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[3,6,4,2,+,1]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[3,6,4,2,-,1]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,4,5,2,1]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,6,5,2,1,4]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[3,6,5,2,4,1]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,6,5,+,1,2]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[3,6,5,-,1,2]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[3,6,5,+,2,1]=>[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[3,6,5,-,2,1]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[4,1,2,3,+,+]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,3,-,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,3,+,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,1,2,3,-,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,2,3,6,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,1,2,5,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,5,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,2,5,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,2,6,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,1,2,6,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,1,2,6,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,1,+,2,+,+]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,-,2,+,+]=>[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,1,+,2,-,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,+,2,+,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,1,-,2,-,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,1,-,2,+,-]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,1,+,2,-,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,-,2,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,1,+,2,6,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,1,-,2,6,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,1,+,5,2,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,-,5,2,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,1,+,5,2,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,-,5,2,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,1,+,5,6,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,-,5,6,2]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,1,+,6,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,1,-,6,2,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,1,+,6,+,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,1,-,6,+,2]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,1,+,6,-,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,1,-,6,-,2]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[4,1,5,2,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,5,2,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,5,2,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,5,3,2,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,5,3,2,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,5,3,6,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,5,6,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,1,5,6,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,1,6,2,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,1,6,2,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,1,6,2,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,1,6,3,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,1,6,3,+,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,1,6,3,-,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,1,6,5,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,1,6,5,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,+,1,3,+,+]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[4,-,1,3,+,+]=>[1,3,5,6,4,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,+,1,3,-,+]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[4,+,1,3,+,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[4,-,1,3,-,+]=>[1,3,6,4,2,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[4,-,1,3,+,-]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,+,1,3,-,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,1,3,-,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,1,3,6,5]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[4,-,1,3,6,5]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,+,1,5,3,+]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[4,-,1,5,3,+]=>[1,3,6,4,2,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[4,+,1,5,3,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,1,5,3,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,1,5,6,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,1,5,6,3]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,1,6,3,5]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[4,-,1,6,3,5]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,+,1,6,+,3]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,-,1,6,+,3]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[4,+,1,6,-,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,-,1,6,-,3]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[4,+,+,1,+,+]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,-,+,1,+,+]=>[3,1,5,6,4,2]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[4,+,-,1,+,+]=>[2,1,5,6,4,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[4,+,+,1,-,+]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,+,+,1,+,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,-,-,1,+,+]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[4,-,+,1,-,+]=>[3,1,6,4,2,5]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[4,-,+,1,+,-]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,+,-,1,-,+]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,+,-,1,+,-]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,+,+,1,-,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,-,1,-,+]=>[1,6,4,2,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,-,-,1,+,-]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,-,+,1,-,-]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,-,1,-,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,-,-,1,-,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,+,1,6,5]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,-,+,1,6,5]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,+,-,1,6,5]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,-,-,1,6,5]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,+,+,5,1,+]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,-,+,5,1,+]=>[3,1,6,4,2,5]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[4,+,-,5,1,+]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,+,+,5,1,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,-,5,1,+]=>[1,6,4,2,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,-,+,5,1,-]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,-,5,1,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,-,-,5,1,-]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,+,5,6,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,+,5,6,1]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,-,5,6,1]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,-,-,5,6,1]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,+,6,1,5]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,-,+,6,1,5]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,+,-,6,1,5]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,-,-,6,1,5]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,+,+,6,+,1]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[4,-,+,6,+,1]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,+,-,6,+,1]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,+,+,6,-,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,-,-,6,+,1]=>[5,1,4,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[4,-,+,6,-,1]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[4,+,-,6,-,1]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[4,-,-,6,-,1]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[4,+,5,1,3,+]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[4,-,5,1,3,+]=>[1,3,6,4,2,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[4,+,5,1,3,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,5,1,3,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,5,1,6,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,5,1,6,3]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,5,3,1,+]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,-,5,3,1,+]=>[3,1,6,4,2,5]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[4,+,5,3,1,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,5,3,1,-]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,5,3,6,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,5,3,6,1]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,5,6,1,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,-,5,6,1,3]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[4,+,5,6,3,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,-,5,6,3,1]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[4,+,6,1,3,5]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[4,-,6,1,3,5]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,+,6,1,+,3]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,-,6,1,+,3]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[4,+,6,1,-,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,-,6,1,-,3]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[4,+,6,3,1,5]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,-,6,3,1,5]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,+,6,3,+,1]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[4,-,6,3,+,1]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,+,6,3,-,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,-,6,3,-,1]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[4,+,6,5,1,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,-,6,5,1,3]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[4,+,6,5,3,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,-,6,5,3,1]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[4,3,1,2,+,+]=>[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,1,2,-,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,3,1,2,+,-]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,3,1,2,-,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,1,2,6,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,3,1,5,2,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,3,1,5,2,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,1,5,6,2]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,1,6,2,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,3,1,6,+,2]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,3,1,6,-,2]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[4,3,2,1,+,+]=>[2,1,5,6,4,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[4,3,2,1,-,+]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,3,2,1,+,-]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,3,2,1,-,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,2,1,6,5]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,3,2,5,1,+]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,3,2,5,1,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,2,5,6,1]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,2,6,1,5]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,3,2,6,+,1]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,3,2,6,-,1]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[4,3,5,1,2,+]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,3,5,1,2,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,5,1,6,2]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,5,2,1,+]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,3,5,2,1,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,5,2,6,1]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,5,6,1,2]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[4,3,5,6,2,1]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[4,3,6,1,2,5]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[4,3,6,1,+,2]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[4,3,6,1,-,2]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[4,3,6,2,1,5]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[4,3,6,2,+,1]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
[4,3,6,2,-,1]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[4,3,6,5,1,2]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[4,3,6,5,2,1]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[4,5,1,2,3,+]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,1,2,3,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,1,2,6,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,1,3,2,+]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,5,1,3,2,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,1,3,6,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,1,6,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,1,6,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,2,1,3,+]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[4,5,2,1,3,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,5,2,1,6,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,5,2,3,1,+]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,5,2,3,1,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,2,3,6,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,2,6,1,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,5,2,6,3,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,+,1,2,+]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[4,5,-,1,2,+]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[4,5,+,1,2,-]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,-,1,2,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,5,+,1,6,2]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,-,1,6,2]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,5,+,2,1,+]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[4,5,-,2,1,+]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[4,5,+,2,1,-]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[4,5,-,2,1,-]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,5,+,2,6,1]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[4,5,-,2,6,1]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,5,+,6,1,2]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,-,6,1,2]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,5,+,6,2,1]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[4,5,-,6,2,1]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,6,2,1,3]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[4,5,6,2,3,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,6,3,1,2]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,6,1,2,+,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,6,1,2,-,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,6,1,3,+,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,1,3,-,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,6,1,5,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,1,5,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,6,2,1,3,5]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[4,6,2,1,+,3]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[4,6,2,1,-,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,6,2,3,1,5]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,6,2,3,+,1]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[4,6,2,3,-,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,2,5,1,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,6,2,5,3,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,+,1,2,5]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[4,6,-,1,2,5]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[4,6,+,1,+,2]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[4,6,-,1,+,2]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[4,6,+,1,-,2]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,-,1,-,2]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,6,+,2,1,5]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[4,6,-,2,1,5]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[4,6,+,2,+,1]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[4,6,-,2,+,1]=>[2,5,1,4,6,3]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[4,6,+,2,-,1]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[4,6,-,2,-,1]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[4,6,+,5,1,2]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,-,5,1,2]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,6,+,5,2,1]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[4,6,-,5,2,1]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,6,5,2,1,3]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[4,6,5,2,3,1]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[4,6,5,3,2,1]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[5,1,2,3,4,+]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,1,2,3,4,-]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,1,2,3,6,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,1,2,+,3,+]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[5,1,2,-,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[5,1,2,+,3,-]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,1,2,-,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,1,2,+,6,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,1,2,-,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,1,2,6,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,1,2,6,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,1,+,2,4,+]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[5,1,-,2,4,+]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[5,1,+,2,4,-]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,1,-,2,4,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,1,+,2,6,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,1,-,2,6,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,1,+,+,2,+]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,1,-,+,2,+]=>[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[5,1,+,-,2,+]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[5,1,+,+,2,-]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,1,-,-,2,+]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,1,-,+,2,-]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,1,+,-,2,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,1,-,-,2,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,1,+,+,6,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,1,-,+,6,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,1,+,-,6,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,1,-,-,6,2]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,1,+,6,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,1,-,6,2,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,1,+,6,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,1,-,6,4,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,1,4,2,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[5,1,4,2,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,1,4,2,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,1,4,3,2,+]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[5,1,4,3,2,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,1,4,3,6,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,1,4,6,2,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,1,4,6,3,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,1,6,2,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,1,6,2,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,1,6,3,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,1,6,3,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,1,6,+,2,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,1,6,-,2,3]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,1,6,+,3,2]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[5,1,6,-,3,2]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,+,1,3,4,+]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[5,-,1,3,4,+]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[5,+,1,3,4,-]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[5,-,1,3,4,-]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,1,3,6,4]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[5,-,1,3,6,4]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,1,+,3,+]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[5,-,1,+,3,+]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}}
[5,+,1,-,3,+]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[5,+,1,+,3,-]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[5,-,1,-,3,+]=>[1,3,6,5,2,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,-,1,+,3,-]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[5,+,1,-,3,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,-,1,-,3,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,1,+,6,3]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[5,-,1,+,6,3]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[5,+,1,-,6,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,-,1,-,6,3]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,1,6,3,4]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[5,-,1,6,3,4]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,1,6,4,3]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[5,-,1,6,4,3]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[5,+,+,1,4,+]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[5,-,+,1,4,+]=>[3,1,4,6,5,2]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[5,+,-,1,4,+]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[5,+,+,1,4,-]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,-,-,1,4,+]=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[5,-,+,1,4,-]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,-,1,4,-]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,-,-,1,4,-]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[5,+,+,1,6,4]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,-,+,1,6,4]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,-,1,6,4]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,-,-,1,6,4]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[5,+,+,+,1,+]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[5,-,+,+,1,+]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>{{1,4,6},{2,3},{5}}
[5,+,-,+,1,+]=>[2,4,1,6,5,3]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[5,+,+,-,1,+]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[5,+,+,+,1,-]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,-,-,+,1,+]=>[4,1,6,5,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[5,-,+,-,1,+]=>[3,1,6,5,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[5,-,+,+,1,-]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[5,+,-,-,1,+]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[5,+,-,+,1,-]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,+,-,1,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,-,-,-,1,+]=>[1,6,5,2,3,4]=>{{1},{2,4,6},{3,5}}=>{{1},{2,6},{3,4,5}}
[5,-,-,+,1,-]=>[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[5,-,+,-,1,-]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,-,-,1,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,-,-,-,1,-]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,+,+,6,1]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,-,+,+,6,1]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[5,+,-,+,6,1]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,+,-,6,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,-,-,+,6,1]=>[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[5,-,+,-,6,1]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,-,-,6,1]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,-,-,-,6,1]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,+,6,1,4]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,-,+,6,1,4]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,-,6,1,4]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,-,-,6,1,4]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[5,+,+,6,4,1]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,-,+,6,4,1]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[5,+,-,6,4,1]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,-,-,6,4,1]=>[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
[5,+,4,1,3,+]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[5,-,4,1,3,+]=>[1,3,6,5,2,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,+,4,1,3,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,-,4,1,3,-]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,4,1,6,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,-,4,1,6,3]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,4,3,1,+]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[5,-,4,3,1,+]=>[3,1,6,5,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[5,+,4,3,1,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,-,4,3,1,-]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,4,3,6,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,-,4,3,6,1]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,4,6,1,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,-,4,6,1,3]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,4,6,3,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,-,4,6,3,1]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,6,1,3,4]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[5,-,6,1,3,4]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,+,6,1,4,3]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[5,-,6,1,4,3]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
[5,+,6,3,1,4]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,-,6,3,1,4]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,6,3,4,1]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,-,6,3,4,1]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[5,+,6,+,1,3]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,-,6,+,1,3]=>[4,1,3,5,2,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[5,+,6,-,1,3]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[5,-,6,-,1,3]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,+,6,+,3,1]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[5,-,6,+,3,1]=>[4,3,1,5,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,+,6,-,3,1]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[5,-,6,-,3,1]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[5,3,1,2,4,+]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[5,3,1,2,4,-]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,1,2,6,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,1,+,2,+]=>[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[5,3,1,-,2,+]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,1,+,2,-]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,3,1,-,2,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,1,+,6,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,3,1,-,6,2]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,1,6,2,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,1,6,4,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,3,2,1,4,+]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[5,3,2,1,4,-]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,2,1,6,4]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,2,+,1,+]=>[2,4,1,6,5,3]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[5,3,2,-,1,+]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[5,3,2,+,1,-]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,3,2,-,1,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,2,+,6,1]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,3,2,-,6,1]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,2,6,1,4]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,2,6,4,1]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,3,4,1,2,+]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,4,1,2,-]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,4,1,6,2]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,4,2,1,+]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[5,3,4,2,1,-]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,4,2,6,1]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,4,6,1,2]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,4,6,2,1]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,6,1,2,4]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[5,3,6,1,4,2]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[5,3,6,2,1,4]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,3,6,+,1,2]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[5,3,6,-,1,2]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,6,+,2,1]=>[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[5,3,6,-,2,1]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[5,4,1,2,3,+]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[5,4,1,2,3,-]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,4,1,2,6,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,4,1,3,2,+]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[5,4,1,3,2,-]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,4,1,3,6,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,4,1,6,2,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,4,1,6,3,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,4,2,1,3,+]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[5,4,2,1,3,-]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,4,2,1,6,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,4,2,3,1,+]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[5,4,2,3,1,-]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,2,3,6,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,2,6,1,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,4,2,6,3,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,+,1,2,+]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[5,4,-,1,2,+]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}
[5,4,+,1,2,-]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,-,1,2,-]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[5,4,+,1,6,2]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,-,1,6,2]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[5,4,+,2,1,+]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[5,4,-,2,1,+]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}
[5,4,+,2,1,-]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[5,4,-,2,1,-]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[5,4,+,2,6,1]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[5,4,-,2,6,1]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[5,4,+,6,1,2]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,-,6,1,2]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[5,4,+,6,2,1]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[5,4,-,6,2,1]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[5,4,6,1,2,3]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[5,4,6,1,3,2]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[5,4,6,2,1,3]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,6,3,1,2]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[5,4,6,3,2,1]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,1,+,2,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,1,-,2,3]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,6,1,+,3,2]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[5,6,1,-,3,2]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,6,2,1,3,4]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[5,6,2,1,4,3]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[5,6,2,3,1,4]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,6,2,3,4,1]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,6,2,+,1,3]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,6,2,-,1,3]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[5,6,2,+,3,1]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
[5,6,2,-,3,1]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[5,6,+,1,2,4]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[5,6,-,1,2,4]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,6,+,1,4,2]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,6,-,1,4,2]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,6,+,2,1,4]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[5,6,-,2,1,4]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[5,6,+,2,4,1]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[5,6,-,2,4,1]=>[2,4,1,5,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[5,6,+,+,1,2]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[5,6,-,+,1,2]=>[4,1,2,5,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[5,6,+,-,1,2]=>[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[5,6,-,-,1,2]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[5,6,+,+,2,1]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[5,6,-,+,2,1]=>[4,2,1,5,6,3]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[5,6,+,-,2,1]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[5,6,-,-,2,1]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[5,6,4,1,2,3]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,6,4,1,3,2]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[5,6,4,2,3,1]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[5,6,4,3,1,2]=>[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[5,6,4,3,2,1]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,1,2,3,+,4]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,1,2,3,-,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[6,1,2,+,3,5]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,1,2,-,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,1,2,+,+,3]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,1,2,-,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,2,+,-,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[6,1,2,-,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,1,2,5,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[6,1,2,5,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[6,1,+,2,4,5]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,1,-,2,4,5]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,+,2,+,4]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[6,1,-,2,+,4]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[6,1,+,2,-,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[6,1,-,2,-,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,+,+,2,5]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,1,-,+,2,5]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,1,+,-,2,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,1,-,-,2,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[6,1,+,+,+,2]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,-,+,+,2]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[6,1,+,-,+,2]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,1,+,+,-,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,1,-,-,+,2]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[6,1,-,+,-,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,1,+,-,-,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,1,-,-,-,2]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,+,5,2,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[6,1,-,5,2,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,+,5,4,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,1,-,5,4,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,1,4,2,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,1,4,2,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,1,4,2,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,1,4,3,2,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,1,4,3,+,2]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,1,4,3,-,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,1,4,5,2,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,1,4,5,3,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,1,5,2,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[6,1,5,2,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[6,1,5,3,2,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[6,1,5,3,4,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,1,5,+,2,3]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,1,5,-,2,3]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[6,1,5,+,3,2]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[6,1,5,-,3,2]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[6,+,1,3,4,5]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[6,-,1,3,4,5]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,1,3,+,4]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[6,-,1,3,+,4]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[6,+,1,3,-,4]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[6,-,1,3,-,4]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,1,+,3,5]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[6,-,1,+,3,5]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[6,+,1,-,3,5]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,-,1,-,3,5]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[6,+,1,+,+,3]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
[6,-,1,+,+,3]=>[1,4,5,3,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,1,-,+,3]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,+,1,+,-,3]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[6,-,1,-,+,3]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[6,-,1,+,-,3]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[6,+,1,-,-,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,-,1,-,-,3]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,1,5,3,4]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[6,-,1,5,3,4]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,1,5,4,3]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[6,-,1,5,4,3]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[6,+,+,1,4,5]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[6,-,+,1,4,5]=>[3,1,4,5,6,2]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,-,1,4,5]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,-,-,1,4,5]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,+,1,+,4]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
[6,-,+,1,+,4]=>[3,1,5,4,6,2]=>{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
[6,+,-,1,+,4]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[6,+,+,1,-,4]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[6,-,-,1,+,4]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}}
[6,-,+,1,-,4]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,-,1,-,4]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,-,-,1,-,4]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[6,+,+,+,1,5]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[6,-,+,+,1,5]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[6,+,-,+,1,5]=>[2,4,1,5,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,+,-,1,5]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,-,-,+,1,5]=>[4,1,5,6,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,-,+,-,1,5]=>[3,1,5,6,2,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[6,+,-,-,1,5]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[6,-,-,-,1,5]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,+,+,+,1]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[6,-,+,+,+,1]=>[3,4,5,1,6,2]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,-,+,+,1]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[6,+,+,-,+,1]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,+,+,-,1]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,-,-,+,+,1]=>[4,5,1,6,2,3]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[6,-,+,-,+,1]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,-,+,+,-,1]=>[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[6,+,-,-,+,1]=>[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[6,+,-,+,-,1]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,+,-,-,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,-,-,-,+,1]=>[5,1,6,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,-,-,+,-,1]=>[4,1,6,2,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[6,-,+,-,-,1]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,-,-,-,1]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,-,-,-,-,1]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,+,5,1,4]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[6,-,+,5,1,4]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,-,5,1,4]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,-,-,5,1,4]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[6,+,+,5,4,1]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,-,+,5,4,1]=>[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[6,+,-,5,4,1]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,-,-,5,4,1]=>[4,1,6,2,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[6,+,4,1,3,5]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,-,4,1,3,5]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[6,+,4,1,+,3]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,-,4,1,+,3]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[6,+,4,1,-,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,-,4,1,-,3]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,4,3,1,5]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,-,4,3,1,5]=>[3,1,5,6,2,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[6,+,4,3,+,1]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,-,4,3,+,1]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,+,4,3,-,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,-,4,3,-,1]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,4,5,1,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,-,4,5,1,3]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,4,5,3,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,-,4,5,3,1]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,5,1,3,4]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[6,-,5,1,3,4]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,+,5,1,4,3]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[6,-,5,1,4,3]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
[6,+,5,3,1,4]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[6,-,5,3,1,4]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,5,3,4,1]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,-,5,3,4,1]=>[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[6,+,5,+,1,3]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,-,5,+,1,3]=>[4,1,3,6,2,5]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[6,+,5,-,1,3]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[6,-,5,-,1,3]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[6,+,5,+,3,1]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[6,-,5,+,3,1]=>[4,3,1,6,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,+,5,-,3,1]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[6,-,5,-,3,1]=>[3,1,6,2,5,4]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[6,3,1,2,4,5]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,1,2,+,4]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[6,3,1,2,-,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,1,+,2,5]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,3,1,-,2,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[6,3,1,+,+,2]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[6,3,1,-,+,2]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[6,3,1,+,-,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,3,1,-,-,2]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,1,5,2,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,1,5,4,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,3,2,1,4,5]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,2,1,+,4]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[6,3,2,1,-,4]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,2,+,1,5]=>[2,4,1,5,6,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,3,2,-,1,5]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[6,3,2,+,+,1]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[6,3,2,-,+,1]=>[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[6,3,2,+,-,1]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,3,2,-,-,1]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,2,5,1,4]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,2,5,4,1]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,3,4,1,2,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[6,3,4,1,+,2]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[6,3,4,1,-,2]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,4,2,1,5]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[6,3,4,2,+,1]=>[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
[6,3,4,2,-,1]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,4,5,1,2]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,4,5,2,1]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,5,1,2,4]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,3,5,2,1,4]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,3,5,2,4,1]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,3,5,+,1,2]=>[4,1,2,6,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,3,5,-,1,2]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[6,3,5,+,2,1]=>[4,2,1,6,3,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[6,3,5,-,2,1]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[6,4,1,2,3,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,4,1,2,+,3]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,4,1,2,-,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,4,1,3,2,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,4,1,3,+,2]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,4,1,3,-,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,4,1,5,2,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,4,1,5,3,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,4,2,1,3,5]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,4,2,1,+,3]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,4,2,1,-,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,4,2,3,1,5]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,2,3,+,1]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,4,2,3,-,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,2,5,1,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,4,2,5,3,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,+,1,2,5]=>[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,-,1,2,5]=>[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,4,+,1,+,2]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,4,-,1,+,2]=>[1,5,2,6,4,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[6,4,+,1,-,2]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,-,1,-,2]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[6,4,+,2,1,5]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[6,4,-,2,1,5]=>[2,1,5,6,4,3]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,4,+,2,+,1]=>[3,2,5,1,6,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[6,4,-,2,+,1]=>[2,5,1,6,4,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[6,4,+,2,-,1]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[6,4,-,2,-,1]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[6,4,+,5,1,2]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,-,5,1,2]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
[6,4,+,5,2,1]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[6,4,-,5,2,1]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
[6,4,5,1,2,3]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[6,4,5,2,1,3]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
[6,4,5,2,3,1]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,5,3,1,2]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[6,4,5,3,2,1]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
[6,5,1,2,3,4]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[6,5,1,2,4,3]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[6,5,1,3,2,4]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[6,5,1,3,4,2]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,5,1,+,2,3]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[6,5,1,-,2,3]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[6,5,1,+,3,2]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[6,5,1,-,3,2]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[6,5,2,1,3,4]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[6,5,2,1,4,3]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[6,5,2,3,1,4]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[6,5,2,3,4,1]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,5,2,+,1,3]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,5,2,-,1,3]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[6,5,2,+,3,1]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
[6,5,2,-,3,1]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[6,5,+,1,2,4]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
[6,5,-,1,2,4]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[6,5,+,1,4,2]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,5,-,1,4,2]=>[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[6,5,+,2,1,4]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[6,5,-,2,1,4]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
[6,5,+,2,4,1]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
[6,5,-,2,4,1]=>[2,4,1,6,5,3]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[6,5,+,+,1,2]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[6,5,-,+,1,2]=>[4,1,2,6,5,3]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
[6,5,+,-,1,2]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[6,5,-,-,1,2]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[6,5,+,+,2,1]=>[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
[6,5,-,+,2,1]=>[4,2,1,6,5,3]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[6,5,+,-,2,1]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[6,5,-,-,2,1]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[6,5,4,1,3,2]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[6,5,4,2,1,3]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[6,5,4,2,3,1]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[6,5,4,3,1,2]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
[6,5,4,3,2,1]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
Map
lower permutation
Description
The lower bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
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].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
Chen Deng Du Stanley Yan
Description
A map that swaps the crossing number and the nesting number of a set partition.
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