Identifier
Mp00080: to permutationPermutations
Mp00151: Permutations to cycle type
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-2
{{1}}=>[1]=>{{1}} {{1,2}}=>[2,1]=>{{1,2}} {{1},{2}}=>[1,2]=>{{1},{2}} {{1,2,3}}=>[2,3,1]=>{{1,2,3}} {{1,2},{3}}=>[2,1,3]=>{{1,2},{3}} {{1,3},{2}}=>[3,2,1]=>{{1,3},{2}} {{1},{2,3}}=>[1,3,2]=>{{1},{2,3}} {{1},{2},{3}}=>[1,2,3]=>{{1},{2},{3}} {{1,2,3,4}}=>[2,3,4,1]=>{{1,2,3,4}} {{1,2,3},{4}}=>[2,3,1,4]=>{{1,2,3},{4}} {{1,2,4},{3}}=>[2,4,3,1]=>{{1,2,4},{3}} {{1,2},{3,4}}=>[2,1,4,3]=>{{1,2},{3,4}} {{1,2},{3},{4}}=>[2,1,3,4]=>{{1,2},{3},{4}} {{1,3,4},{2}}=>[3,2,4,1]=>{{1,3,4},{2}} {{1,3},{2,4}}=>[3,4,1,2]=>{{1,3},{2,4}} {{1,3},{2},{4}}=>[3,2,1,4]=>{{1,3},{2},{4}} {{1,4},{2,3}}=>[4,3,2,1]=>{{1,4},{2,3}} {{1},{2,3,4}}=>[1,3,4,2]=>{{1},{2,3,4}} {{1},{2,3},{4}}=>[1,3,2,4]=>{{1},{2,3},{4}} {{1,4},{2},{3}}=>[4,2,3,1]=>{{1,4},{2},{3}} {{1},{2,4},{3}}=>[1,4,3,2]=>{{1},{2,4},{3}} {{1},{2},{3,4}}=>[1,2,4,3]=>{{1},{2},{3,4}} {{1},{2},{3},{4}}=>[1,2,3,4]=>{{1},{2},{3},{4}} {{1,2,3,4,5}}=>[2,3,4,5,1]=>{{1,2,3,4,5}} {{1,2,3,4},{5}}=>[2,3,4,1,5]=>{{1,2,3,4},{5}} {{1,2,3,5},{4}}=>[2,3,5,4,1]=>{{1,2,3,5},{4}} {{1,2,3},{4,5}}=>[2,3,1,5,4]=>{{1,2,3},{4,5}} {{1,2,3},{4},{5}}=>[2,3,1,4,5]=>{{1,2,3},{4},{5}} {{1,2,4,5},{3}}=>[2,4,3,5,1]=>{{1,2,4,5},{3}} {{1,2,4},{3,5}}=>[2,4,5,1,3]=>{{1,2,4},{3,5}} {{1,2,4},{3},{5}}=>[2,4,3,1,5]=>{{1,2,4},{3},{5}} {{1,2,5},{3,4}}=>[2,5,4,3,1]=>{{1,2,5},{3,4}} {{1,2},{3,4,5}}=>[2,1,4,5,3]=>{{1,2},{3,4,5}} {{1,2},{3,4},{5}}=>[2,1,4,3,5]=>{{1,2},{3,4},{5}} {{1,2,5},{3},{4}}=>[2,5,3,4,1]=>{{1,2,5},{3},{4}} {{1,2},{3,5},{4}}=>[2,1,5,4,3]=>{{1,2},{3,5},{4}} {{1,2},{3},{4,5}}=>[2,1,3,5,4]=>{{1,2},{3},{4,5}} {{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} {{1,3,4,5},{2}}=>[3,2,4,5,1]=>{{1,3,4,5},{2}} {{1,3,4},{2,5}}=>[3,5,4,1,2]=>{{1,3,4},{2,5}} {{1,3,4},{2},{5}}=>[3,2,4,1,5]=>{{1,3,4},{2},{5}} {{1,3,5},{2,4}}=>[3,4,5,2,1]=>{{1,3,5},{2,4}} {{1,3},{2,4,5}}=>[3,4,1,5,2]=>{{1,3},{2,4,5}} {{1,3},{2,4},{5}}=>[3,4,1,2,5]=>{{1,3},{2,4},{5}} {{1,3,5},{2},{4}}=>[3,2,5,4,1]=>{{1,3,5},{2},{4}} {{1,3},{2,5},{4}}=>[3,5,1,4,2]=>{{1,3},{2,5},{4}} {{1,3},{2},{4,5}}=>[3,2,1,5,4]=>{{1,3},{2},{4,5}} {{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} {{1,4,5},{2,3}}=>[4,3,2,5,1]=>{{1,4,5},{2,3}} {{1,4},{2,3,5}}=>[4,3,5,1,2]=>{{1,4},{2,3,5}} {{1,4},{2,3},{5}}=>[4,3,2,1,5]=>{{1,4},{2,3},{5}} {{1,5},{2,3,4}}=>[5,3,4,2,1]=>{{1,5},{2,3,4}} {{1},{2,3,4,5}}=>[1,3,4,5,2]=>{{1},{2,3,4,5}} {{1},{2,3,4},{5}}=>[1,3,4,2,5]=>{{1},{2,3,4},{5}} {{1,5},{2,3},{4}}=>[5,3,2,4,1]=>{{1,5},{2,3},{4}} {{1},{2,3,5},{4}}=>[1,3,5,4,2]=>{{1},{2,3,5},{4}} {{1},{2,3},{4,5}}=>[1,3,2,5,4]=>{{1},{2,3},{4,5}} {{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} {{1,4,5},{2},{3}}=>[4,2,3,5,1]=>{{1,4,5},{2},{3}} {{1,4},{2,5},{3}}=>[4,5,3,1,2]=>{{1,4},{2,5},{3}} {{1,4},{2},{3,5}}=>[4,2,5,1,3]=>{{1,4},{2},{3,5}} {{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} {{1,5},{2,4},{3}}=>[5,4,3,2,1]=>{{1,5},{2,4},{3}} {{1},{2,4,5},{3}}=>[1,4,3,5,2]=>{{1},{2,4,5},{3}} {{1},{2,4},{3,5}}=>[1,4,5,2,3]=>{{1},{2,4},{3,5}} {{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} {{1,5},{2},{3,4}}=>[5,2,4,3,1]=>{{1,5},{2},{3,4}} {{1},{2,5},{3,4}}=>[1,5,4,3,2]=>{{1},{2,5},{3,4}} {{1},{2},{3,4,5}}=>[1,2,4,5,3]=>{{1},{2},{3,4,5}} {{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} {{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} {{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} {{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} {{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}} {{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}} {{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}} {{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}} {{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}} {{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}} {{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}} {{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}} {{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}} {{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}} {{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}} {{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}} {{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}} {{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}} {{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}} {{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}} {{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}} {{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}} {{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}} {{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}} {{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}} {{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}} {{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}} {{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}} {{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}} {{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}} {{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}} {{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}} {{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}} {{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}} {{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}} {{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}} {{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}} {{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}} {{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}} {{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}} {{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}} {{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}} {{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}} {{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}} {{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}} {{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}} {{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}} {{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}} {{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}} {{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}} {{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}} {{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}} {{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}} {{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}} {{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}} {{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}} {{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} {{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}} {{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}} {{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}} {{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}} {{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}} {{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}} {{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}} {{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}} {{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}} {{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}} {{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}} {{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}} {{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}} {{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}} {{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}} {{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}} {{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}} {{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}} {{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}} {{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}} {{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}} {{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}} {{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}} {{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}} {{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}} {{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}} {{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}} {{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}} {{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}} {{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}} {{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}} {{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}} {{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}} {{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}} {{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}} {{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}} {{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} {{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}} {{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}} {{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}} {{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}} {{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}} {{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}} {{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}} {{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}} {{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}} {{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}} {{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}} {{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}} {{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}} {{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}} {{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}} {{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}} {{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}} {{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}} {{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}} {{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}} {{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}} {{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}} {{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}} {{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}} {{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}} {{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}} {{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}} {{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}} {{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}} {{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}} {{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}} {{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}} {{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}} {{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}} {{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}} {{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}} {{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} {{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}} {{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}} {{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}} {{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}} {{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}} {{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}} {{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}} {{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}} {{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}} {{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}} {{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}} {{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}} {{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}} {{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}} {{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}} {{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}} {{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} {{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}} {{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}} {{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}} {{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}} {{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}} {{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}} {{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}} {{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}} {{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}} {{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}} {{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}} {{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}} {{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}} {{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}} {{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}} {{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} {{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}} {{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}} {{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}} {{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}} {{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}} {{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}} {{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}} {{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}} {{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}} {{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}} {{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}} {{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}} {{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}} {{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}} {{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}} {{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}} {{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} {{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}} {{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}} {{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}} {{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}} {{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} {{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}} {{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}} {{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}} {{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}} {{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} {{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}} {{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}} {{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}} {{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}} {{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} {{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}} {{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}} {{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}} {{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}} {{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} {{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} {{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} {{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} {{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} {{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}} {{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}} {{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}} {{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}} {{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}} {{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}} {{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}} {{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}} {{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}} {{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}} {{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}} {{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}} {{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}} {{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}} {{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}} {{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}} {{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}} {{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}} {{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}} {{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}} {{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}} {{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}} {{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}} {{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}} {{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}} {{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}} {{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}} {{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}} {{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}} {{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}} {{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}} {{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}} {{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}} {{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}} {{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}} {{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}} {{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}} {{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}} {{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}} {{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}} {{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}} {{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}} {{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}} {{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}} {{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}} {{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}} {{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}} {{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}} {{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}} {{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}} {{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}} {{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}} {{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} {{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}} {{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}} {{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}} {{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}} {{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}} {{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}} {{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}} {{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}} {{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}} {{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}} {{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}} {{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}} {{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}} {{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}} {{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}} {{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}} {{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}} {{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}} {{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}} {{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}} {{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}} {{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}} {{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}} {{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}} {{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}} {{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}} {{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}} {{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}} {{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}} {{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}} {{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}} {{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}} {{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}} {{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}} {{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}} {{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}} {{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}} {{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}} {{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}} {{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}} {{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}} {{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}} {{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}} {{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}} {{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}} {{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}} {{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}} {{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}} {{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}} {{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}} {{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}} {{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}} {{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}} {{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}} {{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}} {{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}} {{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}} {{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}} {{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}} {{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}} {{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}} {{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}} {{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}} {{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}} {{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}} {{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}} {{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}} {{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}} {{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}} {{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}} {{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}} {{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}} {{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}} {{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}} {{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}} {{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}} {{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}} {{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}} {{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}} {{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}} {{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}} {{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}} {{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}} {{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}} {{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}} {{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}} {{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}} {{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}} {{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}} {{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}} {{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}} {{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}} {{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}} {{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}} {{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}} {{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}} {{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}} {{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}} {{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}} {{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}} {{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}} {{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}} {{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}} {{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}} {{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}} {{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}} {{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}} {{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}} {{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}} {{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}} {{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}} {{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}} {{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}} {{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}} {{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}} {{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}} {{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}} {{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}} {{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}} {{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}} {{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}} {{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}} {{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}} {{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}} {{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}} {{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}} {{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}} {{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}} {{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}} {{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}} {{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}} {{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}} {{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}} {{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}} {{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}} {{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}} {{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}} {{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}} {{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}} {{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}} {{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}} {{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}} {{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}} {{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}} {{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}} {{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}} {{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}} {{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}} {{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}} {{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}} {{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}} {{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}} {{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}} {{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}} {{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}} {{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}} {{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}} {{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}} {{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}} {{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}} {{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}} {{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}} {{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}} {{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}} {{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}} {{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}} {{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}} {{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}} {{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}} {{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}} {{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}} {{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}} {{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}} {{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}} {{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}} {{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}} {{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}} {{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}} {{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}} {{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}} {{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}} {{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}} {{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}} {{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}} {{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}} {{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}} {{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}} {{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}} {{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}} {{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}} {{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}} {{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}} {{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}} {{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}} {{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}} {{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}} {{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}} {{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}} {{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}} {{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}} {{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}} {{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}} {{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}} {{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}} {{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}} {{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}} {{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}} {{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}} {{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}} {{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}} {{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}} {{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}} {{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}} {{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}} {{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}} {{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}} {{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}} {{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}} {{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}} {{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}} {{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}} {{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}} {{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}} {{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}} {{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}} {{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}} {{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}} {{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}} {{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}} {{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}} {{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}} {{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}} {{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}} {{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}} {{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}} {{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}} {{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}} {{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}} {{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}} {{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}} {{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}} {{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}} {{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}} {{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}} {{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}} {{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}} {{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}} {{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}} {{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}} {{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}} {{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}} {{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}} {{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}} {{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}} {{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}} {{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}} {{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}} {{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}} {{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}} {{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}} {{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}} {{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}} {{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}} {{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}} {{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}} {{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}} {{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}} {{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}} {{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}} {{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}} {{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}} {{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}} {{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}} {{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}} {{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}} {{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}} {{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}} {{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}} {{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}} {{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}} {{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}} {{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}} {{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}} {{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}} {{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}} {{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}} {{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}} {{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}} {{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}} {{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}} {{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}} {{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}} {{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}} {{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}} {{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}} {{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}} {{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}} {{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}} {{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}} {{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}} {{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}} {{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}} {{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}} {{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}} {{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}} {{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}} {{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}} {{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}} {{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}} {{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}} {{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}} {{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}} {{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}} {{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}} {{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}} {{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}} {{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}} {{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}} {{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}} {{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}} {{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}} {{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}} {{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}} {{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}} {{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}} {{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}} {{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}} {{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}} {{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}} {{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}} {{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}} {{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}} {{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}} {{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}} {{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}} {{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}} {{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}} {{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}} {{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}} {{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}} {{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}} {{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}} {{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}} {{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}} {{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}} {{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}} {{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}} {{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}} {{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}} {{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}} {{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}} {{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}} {{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}} {{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}} {{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}} {{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}} {{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}} {{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}} {{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}} {{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}} {{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}} {{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}} {{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}} {{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}} {{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}} {{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}} {{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}} {{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}} {{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}} {{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}} {{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}} {{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}} {{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}} {{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}} {{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}} {{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}} {{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}} {{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}} {{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}} {{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}} {{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}} {{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}} {{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}} {{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}} {{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}} {{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}} {{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}} {{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}} {{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}} {{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}} {{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}} {{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}} {{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}} {{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}} {{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}} {{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}} {{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}} {{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}} {{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}} {{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}} {{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}} {{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}} {{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}} {{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}} {{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}} {{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}} {{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}} {{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}} {{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}} {{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}} {{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}} {{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}} {{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}} {{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}} {{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}} {{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}} {{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}} {{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}} {{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}} {{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}} {{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}} {{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}} {{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}} {{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}} {{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}} {{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}} {{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}} {{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}} {{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}} {{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}} {{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}} {{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}} {{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}} {{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}} {{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}} {{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}} {{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}} {{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}} {{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}} {{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}} {{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}} {{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}} {{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}} {{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}} {{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}} {{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}} {{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}} {{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}} {{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}} {{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}} {{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}} {{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}} {{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}} {{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}} {{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}} {{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}} {{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}} {{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}} {{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}} {{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}} {{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}} {{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}} {{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}} {{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}} {{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}} {{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}} {{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}} {{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}} {{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}} {{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}} {{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}} {{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}} {{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}} {{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}} {{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}} {{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}} {{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}} {{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}} {{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}} {{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}} {{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}} {{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}} {{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}} {{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}} {{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}} {{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}} {{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}} {{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}} {{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}} {{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}} {{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}} {{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}} {{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}} {{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}} {{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}} {{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}} {{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}} {{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}} {{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}} {{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}} {{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}} {{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}} {{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}} {{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}} {{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}} {{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}} {{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}} {{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}} {{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}} {{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}} {{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}} {{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}} {{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}} {{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}} {{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}} {{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}} {{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}} {{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}} {{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}} {{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}} {{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}} {{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}} {{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}} {{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}} {{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}} {{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}} {{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}} {{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}} {{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}} {{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}} {{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}} {{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}} {{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}} {{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}} {{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}} {{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}} {{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}} {{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}} {{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}} {{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}} {{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}} {{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}} {{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}} {{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}} {{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}} {{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}} {{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}} {{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}} {{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}} {{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}} {{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}} {{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}} {{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}} {{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}} {{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}} {{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}} {{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}} {{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}} {{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}} {{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}} {{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}} {{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}} {{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}} {{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}} {{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}} {{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}} {{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}} {{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}} {{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}} {{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}} {{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}} {{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}} {{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}} {{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}} {{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}} {{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}} {{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}} {{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}} {{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}} {{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}} {{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}} {{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}} {{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}} {{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}} {{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}} {{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}} {{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}} {{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}} {{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}} {{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}} {{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}} {{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}} {{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}} {{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}} {{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}} {{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}} {{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}} {{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}} {{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}} {{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}} {{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}} {{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}} {{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}} {{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}} {{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}} {{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}} {{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}} {{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}} {{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}} {{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}} {{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}} {{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}} {{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}} {{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}} {{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}} {{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}} {{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}} {{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}} {{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}} {{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}} {{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}} {{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}} {{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}} {{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}} {{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}} {{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}} {{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}} {{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}} {{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}} {{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}} {{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}} {{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}} {{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}} {{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}} {{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}} {{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}} {{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}} {{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}} {{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}} {{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}} {{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}} {{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}} {{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}} {{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}} {{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}} {{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}} {{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}} {{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}} {{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}} {{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}} {{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}} {{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}} {{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}} {{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}} {{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}} {{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}} {{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}} {{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}} {{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}} {{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}} {{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}} {{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}} {{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}} {{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}} {{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}} {{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}} {{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}} {{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}} {{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}} {{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}} {{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}} {{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}} {{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}} {{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}} {{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}} {{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}} {{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}} {{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}} {{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}} {{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}} {{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}} {{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}} {{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}} {{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}} {{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}} {{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}} {{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}} {{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}} {{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}} {{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}} {{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}} {{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}} {{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}} {{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}} {{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}} {{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}} {{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}} {{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}} {{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}} {{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}} {{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}} {{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}} {{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}} {{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}} {{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}} {{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}} {{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}} {{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}} {{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}} {{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}} {{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}} {{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}} {{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}} {{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}} {{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}} {{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}} {{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}} {{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}} {{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}} {{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}} {{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}} {{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}} {{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}} {{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}} {{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}} {{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}} {{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}} {{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}} {{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}} {{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}} {{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}} {{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}} {{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}} {{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}} {{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}} {{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}} {{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}} {{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}} {{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}} {{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}} {{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}} {{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}} {{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}} {{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}} {{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}} {{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}} {{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}} {{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}} {{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}} {{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}} {{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}} {{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}} {{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}} {{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}} {{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}} {{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}} {{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}} {{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}} {{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}} {{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}} {{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}} {{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}} {{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}} {{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}} {{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}} {{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}} {{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}} {{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}} {{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}} {{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}} {{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}} {{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}} {{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}} {{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}} {{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}} {{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}} {{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}} {{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}} {{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}} {{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}} {{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}} {{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}} {{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}} {{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}} {{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}} {{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}} {{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}} {{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}} {{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}} {{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}} {{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}} {{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}} {{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}} {{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}} {{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}} {{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}} {{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}} {{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}} {{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}} {{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}} {{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}} {{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}} {{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}} {{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}} {{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}} {{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}} {{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}} {{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}} {{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}} {{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}} {{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}} {{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}} {{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}} {{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}} {{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}} {{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}} {{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}} {{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}} {{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}} {{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}} {{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}} {{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}} {{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}} {{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}} {{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}} {{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}} {{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}} {{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}} {{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}} {{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}} {{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}} {{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}} {{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}} {{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}} {{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}} {{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}} {{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}} {{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}} {{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}} {{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}} {{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}} {{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}} {{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}} {{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}} {{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}} {{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}} {{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}} {{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}} {{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}} {{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}} {{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}} {{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}} {{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}} {{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}} {{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}} {{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}} {{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}} {{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}} {{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}} {{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}} {{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}} {{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}} {{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}} {{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}} {{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}} {{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}} {{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}} {{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}} {{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}} {{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}} {{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}} {{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}} {{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}} {{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}} {{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}} {{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}} {{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}} {{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}} {{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}} {{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}} {{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}} {{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}} {{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}} {{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}} {{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}} {{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}} {{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}} {{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}} {{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}} {{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}} {{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}} {{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}} {{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}} {{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}} {{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}} {{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}} {{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}} {{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}} {{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}} {{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}} {{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}} {{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}} {{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}} {{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}} {{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}} {{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}} {{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}} {{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}} {{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}} {{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}} {{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}} {{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}} {{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}} {{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}} {{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}} {{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}} {{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}} {{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}} {{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}} {{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}} {{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}} {{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}} {{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}} {{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
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].