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Identifier
Mp00080: Set partitions to permutationPermutations
Images
=>
Cc0009;cc-rep-0
{}=>[] {{1}}=>[1] {{1,2}}=>[2,1] {{1},{2}}=>[1,2] {{1,2,3}}=>[2,3,1] {{1,2},{3}}=>[2,1,3] {{1,3},{2}}=>[3,2,1] {{1},{2,3}}=>[1,3,2] {{1},{2},{3}}=>[1,2,3] {{1,2,3,4}}=>[2,3,4,1] {{1,2,3},{4}}=>[2,3,1,4] {{1,2,4},{3}}=>[2,4,3,1] {{1,2},{3,4}}=>[2,1,4,3] {{1,2},{3},{4}}=>[2,1,3,4] {{1,3,4},{2}}=>[3,2,4,1] {{1,3},{2,4}}=>[3,4,1,2] {{1,3},{2},{4}}=>[3,2,1,4] {{1,4},{2,3}}=>[4,3,2,1] {{1},{2,3,4}}=>[1,3,4,2] {{1},{2,3},{4}}=>[1,3,2,4] {{1,4},{2},{3}}=>[4,2,3,1] {{1},{2,4},{3}}=>[1,4,3,2] {{1},{2},{3,4}}=>[1,2,4,3] {{1},{2},{3},{4}}=>[1,2,3,4] {{1,2,3,4,5}}=>[2,3,4,5,1] {{1,2,3,4},{5}}=>[2,3,4,1,5] {{1,2,3,5},{4}}=>[2,3,5,4,1] {{1,2,3},{4,5}}=>[2,3,1,5,4] {{1,2,3},{4},{5}}=>[2,3,1,4,5] {{1,2,4,5},{3}}=>[2,4,3,5,1] {{1,2,4},{3,5}}=>[2,4,5,1,3] {{1,2,4},{3},{5}}=>[2,4,3,1,5] {{1,2,5},{3,4}}=>[2,5,4,3,1] {{1,2},{3,4,5}}=>[2,1,4,5,3] {{1,2},{3,4},{5}}=>[2,1,4,3,5] {{1,2,5},{3},{4}}=>[2,5,3,4,1] {{1,2},{3,5},{4}}=>[2,1,5,4,3] {{1,2},{3},{4,5}}=>[2,1,3,5,4] {{1,2},{3},{4},{5}}=>[2,1,3,4,5] {{1,3,4,5},{2}}=>[3,2,4,5,1] {{1,3,4},{2,5}}=>[3,5,4,1,2] {{1,3,4},{2},{5}}=>[3,2,4,1,5] {{1,3,5},{2,4}}=>[3,4,5,2,1] {{1,3},{2,4,5}}=>[3,4,1,5,2] {{1,3},{2,4},{5}}=>[3,4,1,2,5] {{1,3,5},{2},{4}}=>[3,2,5,4,1] {{1,3},{2,5},{4}}=>[3,5,1,4,2] {{1,3},{2},{4,5}}=>[3,2,1,5,4] {{1,3},{2},{4},{5}}=>[3,2,1,4,5] {{1,4,5},{2,3}}=>[4,3,2,5,1] {{1,4},{2,3,5}}=>[4,3,5,1,2] {{1,4},{2,3},{5}}=>[4,3,2,1,5] {{1,5},{2,3,4}}=>[5,3,4,2,1] {{1},{2,3,4,5}}=>[1,3,4,5,2] {{1},{2,3,4},{5}}=>[1,3,4,2,5] {{1,5},{2,3},{4}}=>[5,3,2,4,1] {{1},{2,3,5},{4}}=>[1,3,5,4,2] {{1},{2,3},{4,5}}=>[1,3,2,5,4] {{1},{2,3},{4},{5}}=>[1,3,2,4,5] {{1,4,5},{2},{3}}=>[4,2,3,5,1] {{1,4},{2,5},{3}}=>[4,5,3,1,2] {{1,4},{2},{3,5}}=>[4,2,5,1,3] {{1,4},{2},{3},{5}}=>[4,2,3,1,5] {{1,5},{2,4},{3}}=>[5,4,3,2,1] {{1},{2,4,5},{3}}=>[1,4,3,5,2] {{1},{2,4},{3,5}}=>[1,4,5,2,3] {{1},{2,4},{3},{5}}=>[1,4,3,2,5] {{1,5},{2},{3,4}}=>[5,2,4,3,1] {{1},{2,5},{3,4}}=>[1,5,4,3,2] {{1},{2},{3,4,5}}=>[1,2,4,5,3] {{1},{2},{3,4},{5}}=>[1,2,4,3,5] {{1,5},{2},{3},{4}}=>[5,2,3,4,1] {{1},{2,5},{3},{4}}=>[1,5,3,4,2] {{1},{2},{3,5},{4}}=>[1,2,5,4,3] {{1},{2},{3},{4,5}}=>[1,2,3,5,4] {{1},{2},{3},{4},{5}}=>[1,2,3,4,5] {{1,2,3,4,5,6}}=>[2,3,4,5,6,1] {{1,2,3,4,5},{6}}=>[2,3,4,5,1,6] {{1,2,3,4,6},{5}}=>[2,3,4,6,5,1] {{1,2,3,4},{5,6}}=>[2,3,4,1,6,5] {{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6] {{1,2,3,5,6},{4}}=>[2,3,5,4,6,1] {{1,2,3,5},{4,6}}=>[2,3,5,6,1,4] {{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6] {{1,2,3,6},{4,5}}=>[2,3,6,5,4,1] {{1,2,3},{4,5,6}}=>[2,3,1,5,6,4] {{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6] {{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1] {{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4] {{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5] {{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6] {{1,2,4,5,6},{3}}=>[2,4,3,5,6,1] {{1,2,4,5},{3,6}}=>[2,4,6,5,1,3] {{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6] {{1,2,4,6},{3,5}}=>[2,4,5,6,3,1] {{1,2,4},{3,5,6}}=>[2,4,5,1,6,3] {{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6] {{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1] {{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3] {{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5] {{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6] {{1,2,5,6},{3,4}}=>[2,5,4,3,6,1] {{1,2,5},{3,4,6}}=>[2,5,4,6,1,3] {{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6] {{1,2,6},{3,4,5}}=>[2,6,4,5,3,1] {{1,2},{3,4,5,6}}=>[2,1,4,5,6,3] {{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6] {{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1] {{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3] {{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5] {{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6] {{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1] {{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3] {{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4] {{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6] {{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1] {{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3] {{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4] {{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6] {{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1] {{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3] {{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4] {{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6] {{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1] {{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3] {{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4] {{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5] {{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6] {{1,3,4,5,6},{2}}=>[3,2,4,5,6,1] {{1,3,4,5},{2,6}}=>[3,6,4,5,1,2] {{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6] {{1,3,4,6},{2,5}}=>[3,5,4,6,2,1] {{1,3,4},{2,5,6}}=>[3,5,4,1,6,2] {{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6] {{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1] {{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2] {{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5] {{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6] {{1,3,5,6},{2,4}}=>[3,4,5,2,6,1] {{1,3,5},{2,4,6}}=>[3,4,5,6,1,2] {{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6] {{1,3,6},{2,4,5}}=>[3,4,6,5,2,1] {{1,3},{2,4,5,6}}=>[3,4,1,5,6,2] {{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6] {{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1] {{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2] {{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5] {{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6] {{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1] {{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2] {{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4] {{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6] {{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1] {{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2] {{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4] {{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6] {{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1] {{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2] {{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4] {{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6] {{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1] {{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2] {{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4] {{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5] {{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6] {{1,4,5,6},{2,3}}=>[4,3,2,5,6,1] {{1,4,5},{2,3,6}}=>[4,3,6,5,1,2] {{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6] {{1,4,6},{2,3,5}}=>[4,3,5,6,2,1] {{1,4},{2,3,5,6}}=>[4,3,5,1,6,2] {{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6] {{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1] {{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2] {{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5] {{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6] {{1,5,6},{2,3,4}}=>[5,3,4,2,6,1] {{1,5},{2,3,4,6}}=>[5,3,4,6,1,2] {{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6] {{1,6},{2,3,4,5}}=>[6,3,4,5,2,1] {{1},{2,3,4,5,6}}=>[1,3,4,5,6,2] {{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6] {{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1] {{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2] {{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5] {{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6] {{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1] {{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2] {{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4] {{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6] {{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1] {{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2] {{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4] {{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6] {{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1] {{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2] {{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4] {{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6] {{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1] {{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2] {{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4] {{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5] {{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6] {{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1] {{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2] {{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3] {{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6] {{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1] {{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2] {{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3] {{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6] {{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1] {{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2] {{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3] {{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6] {{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1] {{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2] {{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3] {{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5] {{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6] {{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1] {{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2] {{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3] {{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6] {{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1] {{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2] {{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3] {{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6] {{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1] {{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2] {{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3] {{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6] {{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1] {{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2] {{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3] {{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5] {{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6] {{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1] {{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2] {{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3] {{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6] {{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1] {{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2] {{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3] {{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6] {{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1] {{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2] {{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3] {{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6] {{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1] {{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2] {{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3] {{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5] {{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6] {{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1] {{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2] {{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3] {{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4] {{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6] {{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1] {{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2] {{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3] {{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4] {{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6] {{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1] {{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2] {{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3] {{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4] {{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6] {{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1] {{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2] {{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3] {{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4] {{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6] {{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1] {{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2] {{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3] {{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4] {{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5] {{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6] {{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1] {{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7] {{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1] {{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6] {{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7] {{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1] {{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5] {{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7] {{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1] {{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5] {{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7] {{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1] {{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5] {{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6] {{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7] {{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1] {{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4] {{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7] {{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1] {{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4] {{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7] {{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1] {{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4] {{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6] {{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7] {{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1] {{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4] {{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7] {{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1] {{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4] {{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7] {{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1] {{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4] {{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6] {{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7] {{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1] {{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4] {{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5] {{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7] {{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1] {{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4] {{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5] {{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7] {{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1] {{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4] {{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5] {{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7] {{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1] {{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4] {{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5] {{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6] {{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7] {{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1] {{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3] {{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7] {{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1] {{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3] {{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7] {{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1] {{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3] {{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6] {{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7] {{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1] {{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3] {{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7] {{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1] {{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3] {{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7] {{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1] {{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3] {{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6] {{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7] {{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1] {{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3] {{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5] {{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7] {{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1] {{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3] {{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5] {{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7] {{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1] {{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3] {{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5] {{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7] {{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1] {{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3] {{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5] {{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6] {{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7] {{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1] {{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3] {{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7] {{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1] {{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3] {{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7] {{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1] {{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3] {{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6] {{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7] {{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1] {{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3] {{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7] {{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1] {{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3] {{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7] {{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1] {{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3] {{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6] {{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7] {{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1] {{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3] {{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5] {{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7] {{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1] {{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3] {{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5] {{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7] {{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1] {{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3] {{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5] {{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7] {{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1] {{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3] {{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5] {{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6] {{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7] {{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1] {{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3] {{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4] {{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7] {{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1] {{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3] {{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4] {{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7] {{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1] {{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3] {{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4] {{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7] {{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1] {{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3] {{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4] {{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6] {{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7] {{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1] {{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3] {{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4] {{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7] {{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1] {{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3] {{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4] {{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7] {{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1] {{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3] {{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4] {{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7] {{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1] {{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3] {{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4] {{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6] {{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7] {{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1] {{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3] {{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4] {{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7] {{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1] {{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3] {{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4] {{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7] {{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1] {{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3] {{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4] {{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7] {{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1] {{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3] {{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4] {{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6] {{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7] {{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1] {{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3] {{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4] {{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5] {{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7] {{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1] {{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3] {{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4] {{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5] {{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7] {{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1] {{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3] {{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4] {{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5] {{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7] {{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1] {{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3] {{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4] {{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5] {{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7] {{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1] {{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3] {{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4] {{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5] {{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6] {{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7] {{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1] {{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2] {{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7] {{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1] {{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2] {{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7] {{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1] {{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2] {{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6] {{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7] {{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1] {{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2] {{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7] {{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1] {{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2] {{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7] {{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1] {{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2] {{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6] {{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7] {{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1] {{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2] {{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5] {{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7] {{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1] {{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2] {{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5] {{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7] {{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1] {{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2] {{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5] {{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7] {{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1] {{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2] {{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5] {{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6] {{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7] {{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1] {{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2] {{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7] {{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1] {{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2] {{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7] {{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1] {{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2] {{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6] {{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7] {{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1] {{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2] {{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7] {{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1] {{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2] {{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7] {{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1] {{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2] {{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6] {{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7] {{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1] {{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2] {{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5] {{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7] {{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1] {{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2] {{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5] {{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7] {{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1] {{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2] {{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5] {{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7] {{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1] {{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2] {{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5] {{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6] {{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7] {{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1] {{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2] {{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4] {{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7] {{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1] {{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2] {{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4] {{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7] {{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1] {{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2] {{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4] {{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7] {{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1] {{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2] {{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4] {{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6] {{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7] {{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1] {{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2] {{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4] {{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7] {{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1] {{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2] {{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4] {{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7] {{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1] {{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2] {{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4] {{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7] {{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1] {{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2] {{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4] {{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6] {{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7] {{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1] {{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2] {{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4] {{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7] {{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1] {{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2] {{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4] {{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7] {{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1] {{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2] {{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4] {{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7] {{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1] {{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2] {{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4] {{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6] {{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7] {{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1] {{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2] {{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4] {{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5] {{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7] {{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1] {{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2] {{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4] {{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5] {{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7] {{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1] {{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2] {{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4] {{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5] {{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7] {{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1] {{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2] {{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4] {{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5] {{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7] {{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1] {{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2] {{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4] {{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5] {{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6] {{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7] {{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1] {{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2] {{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7] {{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1] {{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2] {{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7] {{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1] {{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2] {{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6] {{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7] {{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1] {{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2] {{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7] {{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1] {{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2] {{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7] {{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1] {{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2] {{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6] {{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7] {{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1] {{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2] {{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5] {{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7] {{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1] {{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2] {{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5] {{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7] {{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1] {{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2] {{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5] {{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7] {{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1] {{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2] {{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5] {{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6] {{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7] {{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1] {{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2] {{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7] {{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1] {{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2] {{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7] {{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1] {{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2] {{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6] {{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7] {{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1] {{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2] {{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7] {{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1] {{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2] {{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7] {{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1] {{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2] {{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6] {{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7] {{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1] {{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2] {{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5] {{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7] {{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1] {{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2] {{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5] {{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7] {{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1] {{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2] {{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5] {{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7] {{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1] {{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2] {{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5] {{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6] {{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7] {{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1] {{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2] {{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4] {{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7] {{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1] {{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2] {{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4] {{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7] {{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1] {{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2] {{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4] {{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7] {{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1] {{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2] {{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4] {{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6] {{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7] {{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1] {{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2] {{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4] {{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7] {{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1] {{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2] {{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4] {{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7] {{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1] {{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2] {{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4] {{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7] {{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1] {{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2] {{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4] {{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6] {{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7] {{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1] {{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2] {{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4] {{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7] {{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1] {{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2] {{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4] {{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7] {{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1] {{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2] {{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4] {{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7] {{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1] {{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2] {{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4] {{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6] {{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7] {{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1] {{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2] {{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4] {{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5] {{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7] {{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1] {{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2] {{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4] {{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5] {{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7] {{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1] {{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2] {{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4] {{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5] {{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7] {{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1] {{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2] {{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4] {{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5] {{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7] {{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1] {{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2] {{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4] {{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5] {{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6] {{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7] {{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1] {{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2] {{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3] {{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7] {{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1] {{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2] {{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3] {{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7] {{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1] {{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2] {{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3] {{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7] {{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1] {{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2] {{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3] {{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6] {{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7] {{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1] {{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2] {{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3] {{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7] {{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1] {{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2] {{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3] {{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7] {{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1] {{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2] {{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3] {{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7] {{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1] {{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2] {{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3] {{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6] {{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7] {{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1] {{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2] {{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3] {{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7] {{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1] {{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2] {{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3] {{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7] {{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1] {{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2] {{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3] {{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7] {{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1] {{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2] {{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3] {{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6] {{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7] {{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1] {{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2] {{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3] {{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5] {{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7] {{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1] {{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2] {{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3] {{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5] {{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7] {{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1] {{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2] {{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3] {{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5] {{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7] {{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1] {{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2] {{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3] {{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5] {{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7] {{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1] {{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2] {{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3] {{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5] {{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6] {{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7] {{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1] {{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2] {{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3] {{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7] {{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1] {{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2] {{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3] {{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7] {{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1] {{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2] {{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3] {{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7] {{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1] {{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2] {{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3] {{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6] {{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7] {{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1] {{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2] {{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3] {{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7] {{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1] {{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2] {{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3] {{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7] {{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1] {{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2] {{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3] {{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7] {{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1] {{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2] {{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3] {{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6] {{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7] {{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1] {{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2] {{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3] {{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7] {{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1] {{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2] {{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3] {{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7] {{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1] {{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2] {{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3] {{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7] {{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1] {{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2] {{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3] {{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6] {{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7] {{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1] {{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2] {{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3] {{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5] {{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7] {{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1] {{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2] {{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3] {{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5] {{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7] {{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1] {{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2] {{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3] {{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5] {{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7] {{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1] {{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2] {{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3] {{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5] {{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7] {{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1] {{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2] {{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3] {{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5] {{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6] {{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7] {{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1] {{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2] {{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3] {{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7] {{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1] {{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2] {{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3] {{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7] {{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1] {{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2] {{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3] {{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7] {{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1] {{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2] {{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3] {{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6] {{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7] {{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1] {{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2] {{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3] {{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7] {{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1] {{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2] {{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3] {{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7] {{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1] {{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2] {{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3] {{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7] {{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1] {{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2] {{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3] {{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6] {{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7] {{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1] {{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2] {{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3] {{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7] {{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1] {{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2] {{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3] {{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7] {{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1] {{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2] {{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3] {{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7] {{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1] {{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2] {{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3] {{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6] {{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7] {{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1] {{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2] {{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3] {{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5] {{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7] {{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1] {{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2] {{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3] {{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5] {{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7] {{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1] {{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2] {{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3] {{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5] {{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7] {{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1] {{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2] {{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3] {{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5] {{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7] {{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1] {{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2] {{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3] {{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5] {{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6] {{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7] {{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1] {{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2] {{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3] {{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4] {{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7] {{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1] {{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2] {{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3] {{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4] {{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7] {{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1] {{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2] {{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3] {{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4] {{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7] {{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1] {{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2] {{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3] {{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4] {{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7] {{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1] {{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2] {{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3] {{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4] {{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6] {{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7] {{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1] {{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2] {{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3] {{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4] {{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7] {{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1] {{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2] {{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3] {{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4] {{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7] {{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1] {{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2] {{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3] {{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4] {{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7] {{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1] {{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2] {{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3] {{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4] {{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7] {{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1] {{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2] {{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3] {{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4] {{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6] {{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7] {{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1] {{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2] {{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3] {{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4] {{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7] {{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1] {{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2] {{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3] {{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4] {{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7] {{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1] {{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2] {{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3] {{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4] {{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7] {{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1] {{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2] {{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3] {{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4] {{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7] {{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1] {{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2] {{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3] {{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4] {{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6] {{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7] {{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1] {{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2] {{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3] {{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4] {{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7] {{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1] {{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2] {{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3] {{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4] {{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7] {{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1] {{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2] {{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3] {{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4] {{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7] {{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1] {{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2] {{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3] {{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4] {{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7] {{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1] {{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2] {{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3] {{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4] {{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6] {{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7] {{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1] {{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2] {{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3] {{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4] {{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5] {{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7] {{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1] {{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2] {{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3] {{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4] {{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5] {{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7] {{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1] {{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2] {{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3] {{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4] {{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5] {{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7] {{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1] {{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2] {{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3] {{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4] {{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5] {{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7] {{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1] {{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2] {{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3] {{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4] {{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5] {{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7] {{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1] {{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2] {{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3] {{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4] {{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5] {{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},{7,8}}=>[2,1,4,3,6,5,8,7] {{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7] {{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7] {{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7] {{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7] {{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6] {{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1] {{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1] {{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6] {{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7] {{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7] {{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7] {{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7] {{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7] {{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7] {{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7] {{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7] {{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7] {{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7] {{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6] {{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1] {{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1] {{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5] {{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5] {{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6] {{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6] {{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6] {{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6] {{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3] {{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2] {{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2] {{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2] {{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2] {{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2] {{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1] {{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1] {{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2] {{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2] {{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2] {{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2] {{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2] {{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3] {{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5] {{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5] {{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5] {{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4] {{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4] {{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4] {{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1] {{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1] {{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4] {{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4] {{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4] {{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5] {{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5] {{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5] {{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6] {{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6] {{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6] {{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6] {{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5] {{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5] {{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1] {{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1] {{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5] {{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5] {{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6] {{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6] {{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6] {{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6] {{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5] {{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5] {{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5] {{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4] {{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4] {{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4] {{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1] {{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1] {{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3] {{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3] {{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3] {{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3] {{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4] {{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4] {{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4] {{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4] {{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3] {{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3] {{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3] {{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3] {{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1] {{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1] {{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3] {{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3] {{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3] {{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3] {{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4] {{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4] {{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3] {{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2] {{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2] {{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2] {{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2] {{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2] {{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1] {{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,2,3,4,5,6,7,8] {{1},{2},{3},{4},{5},{6},{7,8}}=>[1,2,3,4,5,6,8,7] {{1},{2},{3},{4},{5},{6,7},{8}}=>[1,2,3,4,5,7,6,8] {{1},{2},{3},{4},{5},{6,8},{7}}=>[1,2,3,4,5,8,7,6] {{1},{2},{3},{4},{5},{6,7,8}}=>[1,2,3,4,5,7,8,6] {{1},{2},{3},{4},{5,6},{7,8}}=>[1,2,3,4,6,5,8,7] {{1},{2},{3},{4},{5,8},{6},{7}}=>[1,2,3,4,8,6,7,5] {{1},{2},{3},{4},{5,8},{6,7}}=>[1,2,3,4,8,7,6,5] {{1},{2},{3},{4,5},{6},{7},{8}}=>[1,2,3,5,4,6,7,8] {{1},{2},{3},{4,5},{6},{7,8}}=>[1,2,3,5,4,6,8,7] {{1},{2},{3},{4,5},{6,7},{8}}=>[1,2,3,5,4,7,6,8] {{1},{2},{3},{4,5},{6,7,8}}=>[1,2,3,5,4,7,8,6] {{1},{2},{3},{4,5,6},{7},{8}}=>[1,2,3,5,6,4,7,8] {{1},{2},{3},{4,5,7},{6},{8}}=>[1,2,3,5,7,6,4,8] {{1},{2},{3},{4,5,7,8},{6}}=>[1,2,3,5,7,6,8,4] {{1},{2},{3},{4,5,6,7},{8}}=>[1,2,3,5,6,7,4,8] {{1},{2},{3},{4,8},{5,6,7}}=>[1,2,3,8,6,7,5,4] {{1},{2},{3},{4,5,6,7,8}}=>[1,2,3,5,6,7,8,4] {{1},{2},{3,4},{5},{6},{7,8}}=>[1,2,4,3,5,6,8,7] {{1},{2},{3,4},{5},{6,8},{7}}=>[1,2,4,3,5,8,7,6] {{1},{2},{3,4},{5,6},{7},{8}}=>[1,2,4,3,6,5,7,8] {{1},{2},{3,7,8},{4},{5},{6}}=>[1,2,7,4,5,6,8,3] {{1},{2},{3,5,6,7},{4},{8}}=>[1,2,5,4,6,7,3,8] {{1},{2},{3,4,5},{6},{7},{8}}=>[1,2,4,5,3,6,7,8] {{1},{2},{3,6,7,8},{4,5}}=>[1,2,6,5,4,7,8,3] {{1},{2},{3,4,7},{5},{6},{8}}=>[1,2,4,7,5,6,3,8] {{1},{2},{3,4,6,7},{5},{8}}=>[1,2,4,6,5,7,3,8] {{1},{2},{3,4,5,6},{7,8}}=>[1,2,4,5,6,3,8,7] {{1},{2},{3,7},{4,5,6},{8}}=>[1,2,7,5,6,4,3,8] {{1},{2},{3,4,7},{5,6},{8}}=>[1,2,4,7,6,5,3,8] {{1},{2},{3,4,5,7},{6},{8}}=>[1,2,4,5,7,6,3,8] {{1},{2},{3,4,5,6,7},{8}}=>[1,2,4,5,6,7,3,8] {{1},{2},{3,8},{4,5,6,7}}=>[1,2,8,5,6,7,4,3] {{1},{2},{3,4,8},{5,6,7}}=>[1,2,4,8,6,7,5,3] {{1},{2},{3,4,5,8},{6,7}}=>[1,2,4,5,8,7,6,3] {{1},{2},{3,4,5,6,8},{7}}=>[1,2,4,5,6,8,7,3] {{1},{2},{3,4,5,6,7,8}}=>[1,2,4,5,6,7,8,3] {{1},{2,3},{4},{5},{6},{7},{8}}=>[1,3,2,4,5,6,7,8] {{1},{2,3},{4},{5},{6},{7,8}}=>[1,3,2,4,5,6,8,7] {{1},{2,3},{4},{5},{6,7},{8}}=>[1,3,2,4,5,7,6,8] {{1},{2,3},{4},{5},{6,8},{7}}=>[1,3,2,4,5,8,7,6] {{1},{2,3},{4},{5},{6,7,8}}=>[1,3,2,4,5,7,8,6] {{1},{2,3},{4,5},{6},{7},{8}}=>[1,3,2,5,4,6,7,8] {{1},{2,3},{4,5},{6,7},{8}}=>[1,3,2,5,4,7,6,8] {{1},{2,3},{4,5},{6,7,8}}=>[1,3,2,5,4,7,8,6] {{1},{2,3},{4,5,6},{7},{8}}=>[1,3,2,5,6,4,7,8] {{1},{2,3},{4,7,8},{5,6}}=>[1,3,2,7,6,5,8,4] {{1},{2,3},{4,5,7},{6},{8}}=>[1,3,2,5,7,6,4,8] {{1},{2,3},{4,5,7,8},{6}}=>[1,3,2,5,7,6,8,4] {{1},{2,3},{4,5,6,7},{8}}=>[1,3,2,5,6,7,4,8] {{1},{2,3},{4,8},{5,6,7}}=>[1,3,2,8,6,7,5,4] {{1},{2,3},{4,5,6,7,8}}=>[1,3,2,5,6,7,8,4] {{1},{2,4},{3},{5},{6},{7,8}}=>[1,4,3,2,5,6,8,7] {{1},{2,4},{3},{5},{6,8},{7}}=>[1,4,3,2,5,8,7,6] {{1},{2,4},{3},{5,7},{6},{8}}=>[1,4,3,2,7,6,5,8] {{1},{2,7,8},{3},{4},{5},{6}}=>[1,7,3,4,5,6,8,2] {{1},{2,5,6,7,8},{3},{4}}=>[1,5,3,4,6,7,8,2] {{1},{2,6,7,8},{3},{4,5}}=>[1,6,3,5,4,7,8,2] {{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2] {{1},{2,4,5,6},{3},{7},{8}}=>[1,4,3,5,6,2,7,8] {{1},{2,7,8},{3},{4,5,6}}=>[1,7,3,5,6,4,8,2] {{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2] {{1},{2,4,8},{3},{5,6,7}}=>[1,4,3,8,6,7,5,2] {{1},{2,4,5,8},{3},{6,7}}=>[1,4,3,5,8,7,6,2] {{1},{2,4,5,6,7,8},{3}}=>[1,4,3,5,6,7,8,2] {{1},{2,3,4},{5},{6},{7},{8}}=>[1,3,4,2,5,6,7,8] {{1},{2,3,4},{5},{6,7},{8}}=>[1,3,4,2,5,7,6,8] {{1},{2,3,4},{5},{6,7,8}}=>[1,3,4,2,5,7,8,6] {{1},{2,3,4},{5,6,7},{8}}=>[1,3,4,2,6,7,5,8] {{1},{2,3,4},{5,8},{6,7}}=>[1,3,4,2,8,7,6,5] {{1},{2,3,4},{5,6,7,8}}=>[1,3,4,2,6,7,8,5] {{1},{2,8},{3,4},{5,6,7}}=>[1,8,4,3,6,7,5,2] {{1},{2,5,8},{3,4},{6,7}}=>[1,5,4,3,8,7,6,2] {{1},{2,5,6,7,8},{3,4}}=>[1,5,4,3,6,7,8,2] {{1},{2,3,5},{4},{6},{7},{8}}=>[1,3,5,4,2,6,7,8] {{1},{2,3,5},{4},{6,7},{8}}=>[1,3,5,4,2,7,6,8] {{1},{2,3,5},{4},{6,7,8}}=>[1,3,5,4,2,7,8,6] {{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2] {{1},{2,6,7,8},{3,5},{4}}=>[1,6,5,4,3,7,8,2] {{1},{2,3,6},{4},{5},{7},{8}}=>[1,3,6,4,5,2,7,8] {{1},{2,8},{3,7},{4},{5},{6}}=>[1,8,7,4,5,6,3,2] {{1},{2,3,5,6},{4},{7},{8}}=>[1,3,5,4,6,2,7,8] {{1},{2,8},{3,7},{4},{5,6}}=>[1,8,7,4,6,5,3,2] {{1},{2,3,5,7},{4},{6},{8}}=>[1,3,5,4,7,6,2,8] {{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2] {{1},{2,3,5,7,8},{4},{6}}=>[1,3,5,4,7,6,8,2] {{1},{2,3,5,6,7},{4},{8}}=>[1,3,5,4,6,7,2,8] {{1},{2,3,5,6,7,8},{4}}=>[1,3,5,4,6,7,8,2] {{1},{2,3,4,5},{6},{7},{8}}=>[1,3,4,5,2,6,7,8] {{1},{2,3,4,5},{6},{7,8}}=>[1,3,4,5,2,6,8,7] {{1},{2,3,4,5},{6,7},{8}}=>[1,3,4,5,2,7,6,8] {{1},{2,3,4,5},{6,7,8}}=>[1,3,4,5,2,7,8,6] {{1},{2,6},{3,4,5},{7},{8}}=>[1,6,4,5,3,2,7,8] {{1},{2,8},{3,4,5},{6,7}}=>[1,8,4,5,3,7,6,2] {{1},{2,6,7,8},{3,4,5}}=>[1,6,4,5,3,7,8,2] {{1},{2,3,6},{4,5},{7},{8}}=>[1,3,6,5,4,2,7,8] {{1},{2,7,8},{3,6},{4,5}}=>[1,7,6,5,4,3,8,2] {{1},{2,8},{3,7},{4,5},{6}}=>[1,8,7,5,4,6,3,2] {{1},{2,3,6,7},{4,5},{8}}=>[1,3,6,5,4,7,2,8] {{1},{2,8},{3,6,7},{4,5}}=>[1,8,6,5,4,7,3,2] {{1},{2,3,4,6},{5},{7},{8}}=>[1,3,4,6,5,2,7,8] {{1},{2,3,4,6},{5},{7,8}}=>[1,3,4,6,5,2,8,7] {{1},{2,7,8},{3,4,6},{5}}=>[1,7,4,6,5,3,8,2] {{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2] {{1},{2,3,7,8},{4,6},{5}}=>[1,3,7,6,5,4,8,2] {{1},{2,3,4,7,8},{5},{6}}=>[1,3,4,7,5,6,8,2] {{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2] {{1},{2,3,4,6,7,8},{5}}=>[1,3,4,6,5,7,8,2] {{1},{2,3,4,5,6},{7},{8}}=>[1,3,4,5,6,2,7,8] {{1},{2,3,4,5,6},{7,8}}=>[1,3,4,5,6,2,8,7] {{1},{2,3,7},{4,5,6},{8}}=>[1,3,7,5,6,4,2,8] {{1},{2,8},{3,7},{4,5,6}}=>[1,8,7,5,6,4,3,2] {{1},{2,8},{3,4,7},{5,6}}=>[1,8,4,7,6,5,3,2] {{1},{2,3,4,8},{5,6},{7}}=>[1,3,4,8,6,5,7,2] {{1},{2,3,4,5,7},{6},{8}}=>[1,3,4,5,7,6,2,8] {{1},{2,8},{3,4,5,7},{6}}=>[1,8,4,5,7,6,3,2] {{1},{2,3,8},{4,5,7},{6}}=>[1,3,8,5,7,6,4,2] {{1},{2,3,4,8},{5,7},{6}}=>[1,3,4,8,7,6,5,2] {{1},{2,3,4,5,8},{6},{7}}=>[1,3,4,5,8,6,7,2] {{1},{2,3,4,5,7,8},{6}}=>[1,3,4,5,7,6,8,2] {{1},{2,3,4,5,6,7},{8}}=>[1,3,4,5,6,7,2,8] {{1},{2,8},{3,4,5,6,7}}=>[1,8,4,5,6,7,3,2] {{1},{2,3,4,8},{5,6,7}}=>[1,3,4,8,6,7,5,2] {{1},{2,3,4,5,8},{6,7}}=>[1,3,4,5,8,7,6,2] {{1},{2,3,4,5,6,8},{7}}=>[1,3,4,5,6,8,7,2] {{1},{2,3,4,5,6,7,8}}=>[1,3,4,5,6,7,8,2] {{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,3,4,5,6,7,8] {{1,2},{3},{4},{5},{6},{7,8}}=>[2,1,3,4,5,6,8,7] {{1,2},{3},{4},{5},{6,7},{8}}=>[2,1,3,4,5,7,6,8] {{1,2},{3},{4},{5},{6,8},{7}}=>[2,1,3,4,5,8,7,6] {{1,2},{3},{4},{5},{6,7,8}}=>[2,1,3,4,5,7,8,6] {{1,2},{3},{4},{5,6},{7},{8}}=>[2,1,3,4,6,5,7,8] {{1,2},{3},{4},{5,8},{6},{7}}=>[2,1,3,4,8,6,7,5] {{1,2},{3},{4},{5,6,7,8}}=>[2,1,3,4,6,7,8,5] {{1,2},{3},{4,8},{5},{6},{7}}=>[2,1,3,8,5,6,7,4] {{1,2},{3},{4,6,7,8},{5}}=>[2,1,3,6,5,7,8,4] {{1,2},{3},{4,5,6,7},{8}}=>[2,1,3,5,6,7,4,8] {{1,2},{3},{4,5,8},{6,7}}=>[2,1,3,5,8,7,6,4] {{1,2},{3},{4,5,6,8},{7}}=>[2,1,3,5,6,8,7,4] {{1,2},{3},{4,5,6,7,8}}=>[2,1,3,5,6,7,8,4] {{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5] {{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5] {{1,2},{3,4},{5,6,7,8}}=>[2,1,4,3,6,7,8,5] {{1,2},{3,5},{4},{6,7,8}}=>[2,1,5,4,3,7,8,6] {{1,2},{3,8},{4},{5},{6},{7}}=>[2,1,8,4,5,6,7,3] {{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7] {{1,2},{3,7,8},{4},{5,6}}=>[2,1,7,4,6,5,8,3] {{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3] {{1,2},{3,8},{4},{5,6,7}}=>[2,1,8,4,6,7,5,3] {{1,2},{3,5,8},{4},{6,7}}=>[2,1,5,4,8,7,6,3] {{1,2},{3,5,6,7,8},{4}}=>[2,1,5,4,6,7,8,3] {{1,2},{3,4,5},{6},{7},{8}}=>[2,1,4,5,3,6,7,8] {{1,2},{3,6,7},{4,5},{8}}=>[2,1,6,5,4,7,3,8] {{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7] {{1,2},{3,7,8},{4,6},{5}}=>[2,1,7,6,5,4,8,3] {{1,2},{3,8},{4,7},{5},{6}}=>[2,1,8,7,5,6,4,3] {{1,2},{3,4,7,8},{5},{6}}=>[2,1,4,7,5,6,8,3] {{1,2},{3,8},{4,6,7},{5}}=>[2,1,8,6,5,7,4,3] {{1,2},{3,4,8},{5},{6,7}}=>[2,1,4,8,5,7,6,3] {{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3] {{1,2},{3,4,6,7,8},{5}}=>[2,1,4,6,5,7,8,3] {{1,2},{3,4,5,6},{7,8}}=>[2,1,4,5,6,3,8,7] {{1,2},{3,4,7},{5,6},{8}}=>[2,1,4,7,6,5,3,8] {{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3] {{1,2},{3,4,8},{5,7},{6}}=>[2,1,4,8,7,6,5,3] {{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3] {{1,2},{3,4,5,7,8},{6}}=>[2,1,4,5,7,6,8,3] {{1,2},{3,4,5,6,7},{8}}=>[2,1,4,5,6,7,3,8] {{1,2},{3,8},{4,5,6,7}}=>[2,1,8,5,6,7,4,3] {{1,2},{3,4,8},{5,6,7}}=>[2,1,4,8,6,7,5,3] {{1,2},{3,4,5,8},{6,7}}=>[2,1,4,5,8,7,6,3] {{1,2},{3,4,5,6,8},{7}}=>[2,1,4,5,6,8,7,3] {{1,2},{3,4,5,6,7,8}}=>[2,1,4,5,6,7,8,3] {{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8] {{1,3},{2},{4},{5},{6},{7,8}}=>[3,2,1,4,5,6,8,7] {{1,3},{2},{4},{5},{6,8},{7}}=>[3,2,1,4,5,8,7,6] {{1,3},{2},{4},{5,6,7,8}}=>[3,2,1,4,6,7,8,5] {{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4] {{1,3},{2},{4,5,6},{7,8}}=>[3,2,1,5,6,4,8,7] {{1,3},{2},{4,7,8},{5,6}}=>[3,2,1,7,6,5,8,4] {{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4] {{1,3},{2},{4,5,6,7},{8}}=>[3,2,1,5,6,7,4,8] {{1,3},{2},{4,8},{5,6,7}}=>[3,2,1,8,6,7,5,4] {{1,3},{2},{4,5,8},{6,7}}=>[3,2,1,5,8,7,6,4] {{1,3},{2},{4,5,6,7,8}}=>[3,2,1,5,6,7,8,4] {{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5] {{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8] {{1,5},{2},{3},{4},{6},{7,8}}=>[5,2,3,4,1,6,8,7] {{1,6},{2},{3},{4},{5},{7},{8}}=>[6,2,3,4,5,1,7,8] {{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7] {{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8] {{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1] {{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1] {{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1] {{1,6,8},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,8,7,1] {{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1] {{1,8},{2},{3},{4},{5,6},{7}}=>[8,2,3,4,6,5,7,1] {{1,5,8},{2},{3},{4},{6},{7}}=>[5,2,3,4,8,6,7,1] {{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1] {{1,4,5},{2},{3},{6},{7},{8}}=>[4,2,3,5,1,6,7,8] {{1,4,5},{2},{3},{6,7,8}}=>[4,2,3,5,1,7,8,6] {{1,8},{2},{3},{4,5},{6},{7}}=>[8,2,3,5,4,6,7,1] {{1,6,7,8},{2},{3},{4,5}}=>[6,2,3,5,4,7,8,1] {{1,4,5,6},{2},{3},{7,8}}=>[4,2,3,5,6,1,8,7] {{1,4,7,8},{2},{3},{5,6}}=>[4,2,3,7,6,5,8,1] {{1,4,5,6,7},{2},{3},{8}}=>[4,2,3,5,6,7,1,8] {{1,4,5,8},{2},{3},{6,7}}=>[4,2,3,5,8,7,6,1] {{1,4,5,6,7,8},{2},{3}}=>[4,2,3,5,6,7,8,1] {{1,3,4},{2},{5},{6},{7},{8}}=>[3,2,4,1,5,6,7,8] {{1,3,4},{2},{5},{6,7,8}}=>[3,2,4,1,5,7,8,6] {{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7] {{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5] {{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5] {{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5] {{1,3,4},{2},{5,6,7,8}}=>[3,2,4,1,6,7,8,5] {{1,8},{2},{3,4},{5},{6},{7}}=>[8,2,4,3,5,6,7,1] {{1,8},{2},{3,4},{5,6,7}}=>[8,2,4,3,6,7,5,1] {{1,5,8},{2},{3,4},{6,7}}=>[5,2,4,3,8,7,6,1] {{1,3,5},{2},{4},{6},{7},{8}}=>[3,2,5,4,1,6,7,8] {{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6] {{1,6,7,8},{2},{3,5},{4}}=>[6,2,5,4,3,7,8,1] {{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7] {{1,7,8},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,8,1] {{1,8},{2},{3,7},{4},{5,6}}=>[8,2,7,4,6,5,3,1] {{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1] {{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8] {{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1] {{1,8},{2},{3,5,6,7},{4}}=>[8,2,5,4,6,7,3,1] {{1,3,8},{2},{4},{5,6,7}}=>[3,2,8,4,6,7,5,1] {{1,3,5,8},{2},{4},{6,7}}=>[3,2,5,4,8,7,6,1] {{1,3,5,6,8},{2},{4},{7}}=>[3,2,5,4,6,8,7,1] {{1,3,5,6,7,8},{2},{4}}=>[3,2,5,4,6,7,8,1] {{1,3,4,5},{2},{6,8},{7}}=>[3,2,4,5,1,8,7,6] {{1,3,4,5},{2},{6,7,8}}=>[3,2,4,5,1,7,8,6] {{1,8},{2},{3,4,5},{6,7}}=>[8,2,4,5,3,7,6,1] {{1,6,8},{2},{3,4,5},{7}}=>[6,2,4,5,3,8,7,1] {{1,3,6},{2},{4,5},{7,8}}=>[3,2,6,5,4,1,8,7] {{1,7,8},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,8,1] {{1,8},{2},{3,6,7},{4,5}}=>[8,2,6,5,4,7,3,1] {{1,3,6,8},{2},{4,5},{7}}=>[3,2,6,5,4,8,7,1] {{1,3,4,6},{2},{5},{7},{8}}=>[3,2,4,6,5,1,7,8] {{1,3,4,6},{2},{5},{7,8}}=>[3,2,4,6,5,1,8,7] {{1,7,8},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,8,1] {{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8] {{1,3,4,6,8},{2},{5},{7}}=>[3,2,4,6,5,8,7,1] {{1,3,4,6,7,8},{2},{5}}=>[3,2,4,6,5,7,8,1] {{1,3,4,5,6},{2},{7},{8}}=>[3,2,4,5,6,1,7,8] {{1,3,4,5,6},{2},{7,8}}=>[3,2,4,5,6,1,8,7] {{1,8},{2},{3,4,5,6},{7}}=>[8,2,4,5,6,3,7,1] {{1,8},{2},{3,7},{4,5,6}}=>[8,2,7,5,6,4,3,1] {{1,3,8},{2},{4,5,6},{7}}=>[3,2,8,5,6,4,7,1] {{1,3,4,7},{2},{5,6},{8}}=>[3,2,4,7,6,5,1,8] {{1,3,4,7,8},{2},{5,6}}=>[3,2,4,7,6,5,8,1] {{1,3,4,5,7},{2},{6},{8}}=>[3,2,4,5,7,6,1,8] {{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1] {{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1] {{1,3,4,5,8},{2},{6},{7}}=>[3,2,4,5,8,6,7,1] {{1,3,4,5,7,8},{2},{6}}=>[3,2,4,5,7,6,8,1] {{1,3,4,5,6,7},{2},{8}}=>[3,2,4,5,6,7,1,8] {{1,8},{2},{3,4,5,6,7}}=>[8,2,4,5,6,7,3,1] {{1,3,8},{2},{4,5,6,7}}=>[3,2,8,5,6,7,4,1] {{1,3,4,8},{2},{5,6,7}}=>[3,2,4,8,6,7,5,1] {{1,3,4,5,8},{2},{6,7}}=>[3,2,4,5,8,7,6,1] {{1,3,4,5,6,8},{2},{7}}=>[3,2,4,5,6,8,7,1] {{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1] {{1,2,3},{4},{5},{6},{7},{8}}=>[2,3,1,4,5,6,7,8] {{1,2,3},{4},{5},{6},{7,8}}=>[2,3,1,4,5,6,8,7] {{1,2,3},{4},{5},{6,8},{7}}=>[2,3,1,4,5,8,7,6] {{1,2,3},{4},{5},{6,7,8}}=>[2,3,1,4,5,7,8,6] {{1,2,3},{4},{5,7,8},{6}}=>[2,3,1,4,7,6,8,5] {{1,2,3},{4,6,7},{5},{8}}=>[2,3,1,6,5,7,4,8] {{1,2,3},{4,8},{5,7},{6}}=>[2,3,1,8,7,6,5,4] {{1,2,3},{4,5,6,7},{8}}=>[2,3,1,5,6,7,4,8] {{1,4},{2,3},{5},{6},{7},{8}}=>[4,3,2,1,5,6,7,8] {{1,6},{2,3},{4},{5},{7},{8}}=>[6,3,2,4,5,1,7,8] {{1,7},{2,3},{4},{5},{6},{8}}=>[7,3,2,4,5,6,1,8] {{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1] {{1,5,7,8},{2,3},{4},{6}}=>[5,3,2,4,7,6,8,1] {{1,5,8},{2,3},{4},{6,7}}=>[5,3,2,4,8,7,6,1] {{1,8},{2,3},{4,5},{6},{7}}=>[8,3,2,5,4,6,7,1] {{1,7,8},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,8,1] {{1,4,7,8},{2,3},{5},{6}}=>[4,3,2,7,5,6,8,1] {{1,4,8},{2,3},{5},{6,7}}=>[4,3,2,8,5,7,6,1] {{1,7},{2,3},{4,5,6},{8}}=>[7,3,2,5,6,4,1,8] {{1,4,7},{2,3},{5,6},{8}}=>[4,3,2,7,6,5,1,8] {{1,4,5,7},{2,3},{6},{8}}=>[4,3,2,5,7,6,1,8] {{1,4,5,6,7},{2,3},{8}}=>[4,3,2,5,6,7,1,8] {{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1] {{1,2,4},{3},{5},{6},{7},{8}}=>[2,4,3,1,5,6,7,8] {{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7] {{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5] {{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5] {{1,2,4},{3},{5,6,7,8}}=>[2,4,3,1,6,7,8,5] {{1,5},{2,4},{3},{6},{7},{8}}=>[5,4,3,2,1,6,7,8] {{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6] {{1,5},{2,4},{3},{6,7,8}}=>[5,4,3,2,1,7,8,6] {{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1] {{1,5,6},{2,4},{3},{7,8}}=>[5,4,3,2,6,1,8,7] {{1,7,8},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,8,1] {{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8] {{1,5,8},{2,4},{3},{6,7}}=>[5,4,3,2,8,7,6,1] {{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1] {{1,5,6,7,8},{2,4},{3}}=>[5,4,3,2,6,7,8,1] {{1,2,5},{3},{4},{6},{7},{8}}=>[2,5,3,4,1,6,7,8] {{1,2,5},{3},{4},{6,7,8}}=>[2,5,3,4,1,7,8,6] {{1,6},{2,5},{3},{4},{7,8}}=>[6,5,3,4,2,1,8,7] {{1,8},{2,5},{3},{4},{6},{7}}=>[8,5,3,4,2,6,7,1] {{1,2,6},{3},{4},{5},{7},{8}}=>[2,6,3,4,5,1,7,8] {{1,2,6},{3},{4},{5},{7,8}}=>[2,6,3,4,5,1,8,7] {{1,7},{2,6},{3},{4},{5},{8}}=>[7,6,3,4,5,2,1,8] {{1,2,7},{3},{4},{5},{6},{8}}=>[2,7,3,4,5,6,1,8] {{1,8},{2,7},{3},{4},{5},{6}}=>[8,7,3,4,5,6,2,1] {{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1] {{1,2,7,8},{3},{4},{5},{6}}=>[2,7,3,4,5,6,8,1] {{1,2,8},{3},{4},{5},{6,7}}=>[2,8,3,4,5,7,6,1] {{1,2,6,8},{3},{4},{5},{7}}=>[2,6,3,4,5,8,7,1] {{1,2,6,7,8},{3},{4},{5}}=>[2,6,3,4,5,7,8,1] {{1,7,8},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,8,1] {{1,2,8},{3},{4},{5,6},{7}}=>[2,8,3,4,6,5,7,1] {{1,2,7,8},{3},{4},{5,6}}=>[2,7,3,4,6,5,8,1] {{1,2,8},{3},{4},{5,7},{6}}=>[2,8,3,4,7,6,5,1] {{1,2,5,8},{3},{4},{6},{7}}=>[2,5,3,4,8,6,7,1] {{1,2,5,7,8},{3},{4},{6}}=>[2,5,3,4,7,6,8,1] {{1,2,5,6,7},{3},{4},{8}}=>[2,5,3,4,6,7,1,8] {{1,8},{2,5,6,7},{3},{4}}=>[8,5,3,4,6,7,2,1] {{1,2,8},{3},{4},{5,6,7}}=>[2,8,3,4,6,7,5,1] {{1,2,5,8},{3},{4},{6,7}}=>[2,5,3,4,8,7,6,1] {{1,2,5,6,8},{3},{4},{7}}=>[2,5,3,4,6,8,7,1] {{1,2,5,6,7,8},{3},{4}}=>[2,5,3,4,6,7,8,1] {{1,6},{2,4,5},{3},{7,8}}=>[6,4,3,5,2,1,8,7] {{1,7,8},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,8,1] {{1,6,7},{2,4,5},{3},{8}}=>[6,4,3,5,2,7,1,8] {{1,8},{2,4,5},{3},{6,7}}=>[8,4,3,5,2,7,6,1] {{1,2,6},{3},{4,5},{7,8}}=>[2,6,3,5,4,1,8,7] {{1,7},{2,6},{3},{4,5},{8}}=>[7,6,3,5,4,2,1,8] {{1,7,8},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,8,1] {{1,8},{2,7},{3},{4,5},{6}}=>[8,7,3,5,4,6,2,1] {{1,2,8},{3},{4,5},{6},{7}}=>[2,8,3,5,4,6,7,1] {{1,2,7,8},{3},{4,5},{6}}=>[2,7,3,5,4,6,8,1] {{1,2,8},{3},{4,5},{6,7}}=>[2,8,3,5,4,7,6,1] {{1,2,6,8},{3},{4,5},{7}}=>[2,6,3,5,4,8,7,1] {{1,2,6,7,8},{3},{4,5}}=>[2,6,3,5,4,7,8,1] {{1,2,4,6},{3},{5},{7},{8}}=>[2,4,3,6,5,1,7,8] {{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8] {{1,8},{2,7},{3},{4,6},{5}}=>[8,7,3,6,5,4,2,1] {{1,2,8},{3},{4,6},{5},{7}}=>[2,8,3,6,5,4,7,1] {{1,2,7,8},{3},{4,6},{5}}=>[2,7,3,6,5,4,8,1] {{1,2,8},{3},{4,7},{5},{6}}=>[2,8,3,7,5,6,4,1] {{1,2,4,8},{3},{5},{6},{7}}=>[2,4,3,8,5,6,7,1] {{1,2,4,7,8},{3},{5},{6}}=>[2,4,3,7,5,6,8,1] {{1,2,8},{3},{4,6,7},{5}}=>[2,8,3,6,5,7,4,1] {{1,2,4,8},{3},{5},{6,7}}=>[2,4,3,8,5,7,6,1] {{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1] {{1,2,4,6,7,8},{3},{5}}=>[2,4,3,6,5,7,8,1] {{1,2,4,5,6},{3},{7,8}}=>[2,4,3,5,6,1,8,7] {{1,7,8},{2,4,5,6},{3}}=>[7,4,3,5,6,2,8,1] {{1,2,8},{3},{4,5,6},{7}}=>[2,8,3,5,6,4,7,1] {{1,2,7,8},{3},{4,5,6}}=>[2,7,3,5,6,4,8,1] {{1,8},{2,4,7},{3},{5,6}}=>[8,4,3,7,6,5,2,1] {{1,2,8},{3},{4,7},{5,6}}=>[2,8,3,7,6,5,4,1] {{1,2,4,8},{3},{5,6},{7}}=>[2,4,3,8,6,5,7,1] {{1,2,4,7,8},{3},{5,6}}=>[2,4,3,7,6,5,8,1] {{1,2,4,5,7},{3},{6},{8}}=>[2,4,3,5,7,6,1,8] {{1,2,8},{3},{4,5,7},{6}}=>[2,8,3,5,7,6,4,1] {{1,2,4,8},{3},{5,7},{6}}=>[2,4,3,8,7,6,5,1] {{1,2,4,5,8},{3},{6},{7}}=>[2,4,3,5,8,6,7,1] {{1,2,4,5,7,8},{3},{6}}=>[2,4,3,5,7,6,8,1] {{1,2,4,5,6,7},{3},{8}}=>[2,4,3,5,6,7,1,8] {{1,8},{2,4,5,6,7},{3}}=>[8,4,3,5,6,7,2,1] {{1,2,8},{3},{4,5,6,7}}=>[2,8,3,5,6,7,4,1] {{1,2,4,8},{3},{5,6,7}}=>[2,4,3,8,6,7,5,1] {{1,2,4,5,8},{3},{6,7}}=>[2,4,3,5,8,7,6,1] {{1,2,4,5,6,8},{3},{7}}=>[2,4,3,5,6,8,7,1] {{1,2,4,5,6,7,8},{3}}=>[2,4,3,5,6,7,8,1] {{1,2,3,4},{5},{6,7},{8}}=>[2,3,4,1,5,7,6,8] {{1,2,3,4},{5,6},{7,8}}=>[2,3,4,1,6,5,8,7] {{1,2,3,4},{5,7,8},{6}}=>[2,3,4,1,7,6,8,5] {{1,2,3,4},{5,6,7},{8}}=>[2,3,4,1,6,7,5,8] {{1,2,3,4},{5,6,8},{7}}=>[2,3,4,1,6,8,7,5] {{1,2,3,4},{5,6,7,8}}=>[2,3,4,1,6,7,8,5] {{1,6,8},{2,3,4},{5},{7}}=>[6,3,4,2,5,8,7,1] {{1,5,6},{2,3,4},{7},{8}}=>[5,3,4,2,6,1,7,8] {{1,7},{2,3,4},{5,6},{8}}=>[7,3,4,2,6,5,1,8] {{1,8},{2,3,4},{5,7},{6}}=>[8,3,4,2,7,6,5,1] {{1,5,6,7},{2,3,4},{8}}=>[5,3,4,2,6,7,1,8] {{1,2,5},{3,4},{6},{7,8}}=>[2,5,4,3,1,6,8,7] {{1,2,5},{3,4},{6,7},{8}}=>[2,5,4,3,1,7,6,8] {{1,2,5},{3,4},{6,8},{7}}=>[2,5,4,3,1,8,7,6] {{1,6},{2,5},{3,4},{7},{8}}=>[6,5,4,3,2,1,7,8] {{1,6,7,8},{2,5},{3,4}}=>[6,5,4,3,2,7,8,1] {{1,7},{2,6},{3,4},{5},{8}}=>[7,6,4,3,5,2,1,8] {{1,2,8},{3,4},{5},{6},{7}}=>[2,8,4,3,5,6,7,1] {{1,2,7,8},{3,4},{5},{6}}=>[2,7,4,3,5,6,8,1] {{1,8},{2,6,7},{3,4},{5}}=>[8,6,4,3,5,7,2,1] {{1,2,8},{3,4},{5},{6,7}}=>[2,8,4,3,5,7,6,1] {{1,2,6,8},{3,4},{5},{7}}=>[2,6,4,3,5,8,7,1] {{1,2,6,7,8},{3,4},{5}}=>[2,6,4,3,5,7,8,1] {{1,7},{2,5,6},{3,4},{8}}=>[7,5,4,3,6,2,1,8] {{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1] {{1,2,7,8},{3,4},{5,6}}=>[2,7,4,3,6,5,8,1] {{1,2,8},{3,4},{5,7},{6}}=>[2,8,4,3,7,6,5,1] {{1,2,5,8},{3,4},{6},{7}}=>[2,5,4,3,8,6,7,1] {{1,2,5,7,8},{3,4},{6}}=>[2,5,4,3,7,6,8,1] {{1,2,8},{3,4},{5,6,7}}=>[2,8,4,3,6,7,5,1] {{1,2,5,8},{3,4},{6,7}}=>[2,5,4,3,8,7,6,1] {{1,2,5,6,8},{3,4},{7}}=>[2,5,4,3,6,8,7,1] {{1,2,5,6,7,8},{3,4}}=>[2,5,4,3,6,7,8,1] {{1,2,3,5},{4},{6},{7},{8}}=>[2,3,5,4,1,6,7,8] {{1,2,3,5},{4},{6},{7,8}}=>[2,3,5,4,1,6,8,7] {{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7] {{1,7,8},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,8,1] {{1,2,6},{3,5},{4},{7,8}}=>[2,6,5,4,3,1,8,7] {{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8] {{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1] {{1,8},{2,7},{3,5},{4},{6}}=>[8,7,5,4,3,6,2,1] {{1,2,8},{3,5},{4},{6},{7}}=>[2,8,5,4,3,6,7,1] {{1,2,7,8},{3,5},{4},{6}}=>[2,7,5,4,3,6,8,1] {{1,2,6,7},{3,5},{4},{8}}=>[2,6,5,4,3,7,1,8] {{1,8},{2,6,7},{3,5},{4}}=>[8,6,5,4,3,7,2,1] {{1,2,8},{3,5},{4},{6,7}}=>[2,8,5,4,3,7,6,1] {{1,2,6,8},{3,5},{4},{7}}=>[2,6,5,4,3,8,7,1] {{1,2,6,7,8},{3,5},{4}}=>[2,6,5,4,3,7,8,1] {{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7] {{1,8},{2,7},{3,6},{4},{5}}=>[8,7,6,4,5,3,2,1] {{1,2,8},{3,6},{4},{5},{7}}=>[2,8,6,4,5,3,7,1] {{1,2,7,8},{3,6},{4},{5}}=>[2,7,6,4,5,3,8,1] {{1,2,8},{3,7},{4},{5},{6}}=>[2,8,7,4,5,6,3,1] {{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1] {{1,2,3,7,8},{4},{5},{6}}=>[2,3,7,4,5,6,8,1] {{1,2,3,6,7},{4},{5},{8}}=>[2,3,6,4,5,7,1,8] {{1,8},{2,3,6,7},{4},{5}}=>[8,3,6,4,5,7,2,1] {{1,2,8},{3,6,7},{4},{5}}=>[2,8,6,4,5,7,3,1] {{1,2,3,8},{4},{5},{6,7}}=>[2,3,8,4,5,7,6,1] {{1,2,3,6,8},{4},{5},{7}}=>[2,3,6,4,5,8,7,1] {{1,2,3,6,7,8},{4},{5}}=>[2,3,6,4,5,7,8,1] {{1,2,3,5,6},{4},{7},{8}}=>[2,3,5,4,6,1,7,8] {{1,2,3,5,6},{4},{7,8}}=>[2,3,5,4,6,1,8,7] {{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1] {{1,2,8},{3,5,6},{4},{7}}=>[2,8,5,4,6,3,7,1] {{1,2,7,8},{3,5,6},{4}}=>[2,7,5,4,6,3,8,1] {{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1] {{1,2,8},{3,7},{4},{5,6}}=>[2,8,7,4,6,5,3,1] {{1,2,3,8},{4},{5,6},{7}}=>[2,3,8,4,6,5,7,1] {{1,2,3,7,8},{4},{5,6}}=>[2,3,7,4,6,5,8,1] {{1,2,3,5,7},{4},{6},{8}}=>[2,3,5,4,7,6,1,8] {{1,8},{2,3,5,7},{4},{6}}=>[8,3,5,4,7,6,2,1] {{1,2,8},{3,5,7},{4},{6}}=>[2,8,5,4,7,6,3,1] {{1,2,3,8},{4},{5,7},{6}}=>[2,3,8,4,7,6,5,1] {{1,2,3,5,8},{4},{6},{7}}=>[2,3,5,4,8,6,7,1] {{1,2,3,5,7,8},{4},{6}}=>[2,3,5,4,7,6,8,1] {{1,2,3,5,6,7},{4},{8}}=>[2,3,5,4,6,7,1,8] {{1,8},{2,3,5,6,7},{4}}=>[8,3,5,4,6,7,2,1] {{1,2,8},{3,5,6,7},{4}}=>[2,8,5,4,6,7,3,1] {{1,2,3,8},{4},{5,6,7}}=>[2,3,8,4,6,7,5,1] {{1,2,3,5,8},{4},{6,7}}=>[2,3,5,4,8,7,6,1] {{1,2,3,5,6,8},{4},{7}}=>[2,3,5,4,6,8,7,1] {{1,2,3,5,6,7,8},{4}}=>[2,3,5,4,6,7,8,1] {{1,2,3,4,5},{6},{7},{8}}=>[2,3,4,5,1,6,7,8] {{1,2,3,4,5},{6},{7,8}}=>[2,3,4,5,1,6,8,7] {{1,2,3,4,5},{6,7},{8}}=>[2,3,4,5,1,7,6,8] {{1,2,3,4,5},{6,8},{7}}=>[2,3,4,5,1,8,7,6] {{1,2,3,4,5},{6,7,8}}=>[2,3,4,5,1,7,8,6] {{1,2,6},{3,4,5},{7,8}}=>[2,6,4,5,3,1,8,7] {{1,7},{2,6},{3,4,5},{8}}=>[7,6,4,5,3,2,1,8] {{1,8},{2,6},{3,4,5},{7}}=>[8,6,4,5,3,2,7,1] {{1,2,7},{3,4,5},{6},{8}}=>[2,7,4,5,3,6,1,8] {{1,2,8},{3,4,5},{6},{7}}=>[2,8,4,5,3,6,7,1] {{1,2,7,8},{3,4,5},{6}}=>[2,7,4,5,3,6,8,1] {{1,2,6,7},{3,4,5},{8}}=>[2,6,4,5,3,7,1,8] {{1,2,8},{3,4,5},{6,7}}=>[2,8,4,5,3,7,6,1] {{1,2,6,8},{3,4,5},{7}}=>[2,6,4,5,3,8,7,1] {{1,2,6,7,8},{3,4,5}}=>[2,6,4,5,3,7,8,1] {{1,2,3,6},{4,5},{7,8}}=>[2,3,6,5,4,1,8,7] {{1,7},{2,3,6},{4,5},{8}}=>[7,3,6,5,4,2,1,8] {{1,8},{2,3,6},{4,5},{7}}=>[8,3,6,5,4,2,7,1] {{1,2,8},{3,6},{4,5},{7}}=>[2,8,6,5,4,3,7,1] {{1,2,7,8},{3,6},{4,5}}=>[2,7,6,5,4,3,8,1] {{1,2,8},{3,7},{4,5},{6}}=>[2,8,7,5,4,6,3,1] {{1,2,3,8},{4,5},{6},{7}}=>[2,3,8,5,4,6,7,1] {{1,2,3,7,8},{4,5},{6}}=>[2,3,7,5,4,6,8,1] {{1,2,3,6,7},{4,5},{8}}=>[2,3,6,5,4,7,1,8] {{1,8},{2,3,6,7},{4,5}}=>[8,3,6,5,4,7,2,1] {{1,2,8},{3,6,7},{4,5}}=>[2,8,6,5,4,7,3,1] {{1,2,3,8},{4,5},{6,7}}=>[2,3,8,5,4,7,6,1] {{1,2,3,6,8},{4,5},{7}}=>[2,3,6,5,4,8,7,1] {{1,2,3,6,7,8},{4,5}}=>[2,3,6,5,4,7,8,1] {{1,2,3,4,6},{5},{7},{8}}=>[2,3,4,6,5,1,7,8] {{1,2,3,4,6},{5},{7,8}}=>[2,3,4,6,5,1,8,7] {{1,2,7},{3,4,6},{5},{8}}=>[2,7,4,6,5,3,1,8] {{1,8},{2,7},{3,4,6},{5}}=>[8,7,4,6,5,3,2,1] {{1,2,8},{3,4,6},{5},{7}}=>[2,8,4,6,5,3,7,1] {{1,2,7,8},{3,4,6},{5}}=>[2,7,4,6,5,3,8,1] {{1,8},{2,3,7},{4,6},{5}}=>[8,3,7,6,5,4,2,1] {{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1] {{1,2,3,8},{4,6},{5},{7}}=>[2,3,8,6,5,4,7,1] {{1,2,3,7,8},{4,6},{5}}=>[2,3,7,6,5,4,8,1] {{1,2,3,4,7},{5},{6},{8}}=>[2,3,4,7,5,6,1,8] {{1,8},{2,3,4,7},{5},{6}}=>[8,3,4,7,5,6,2,1] {{1,2,8},{3,4,7},{5},{6}}=>[2,8,4,7,5,6,3,1] {{1,2,3,8},{4,7},{5},{6}}=>[2,3,8,7,5,6,4,1] {{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1] {{1,2,3,4,7,8},{5},{6}}=>[2,3,4,7,5,6,8,1] {{1,2,3,4,6,7},{5},{8}}=>[2,3,4,6,5,7,1,8] {{1,8},{2,3,4,6,7},{5}}=>[8,3,4,6,5,7,2,1] {{1,2,8},{3,4,6,7},{5}}=>[2,8,4,6,5,7,3,1] {{1,2,3,8},{4,6,7},{5}}=>[2,3,8,6,5,7,4,1] {{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1] {{1,2,3,4,6,8},{5},{7}}=>[2,3,4,6,5,8,7,1] {{1,2,3,4,6,7,8},{5}}=>[2,3,4,6,5,7,8,1] {{1,2,3,4,5,6},{7},{8}}=>[2,3,4,5,6,1,7,8] {{1,2,3,4,5,6},{7,8}}=>[2,3,4,5,6,1,8,7] {{1,7},{2,3,4,5,6},{8}}=>[7,3,4,5,6,2,1,8] {{1,7,8},{2,3,4,5,6}}=>[7,3,4,5,6,2,8,1] {{1,8},{2,7},{3,4,5,6}}=>[8,7,4,5,6,3,2,1] {{1,2,8},{3,4,5,6},{7}}=>[2,8,4,5,6,3,7,1] {{1,2,7,8},{3,4,5,6}}=>[2,7,4,5,6,3,8,1] {{1,2,3,7},{4,5,6},{8}}=>[2,3,7,5,6,4,1,8] {{1,8},{2,3,7},{4,5,6}}=>[8,3,7,5,6,4,2,1] {{1,2,8},{3,7},{4,5,6}}=>[2,8,7,5,6,4,3,1] {{1,2,3,8},{4,5,6},{7}}=>[2,3,8,5,6,4,7,1] {{1,2,3,7,8},{4,5,6}}=>[2,3,7,5,6,4,8,1] {{1,2,3,4,7},{5,6},{8}}=>[2,3,4,7,6,5,1,8] {{1,8},{2,3,4,7},{5,6}}=>[8,3,4,7,6,5,2,1] {{1,2,8},{3,4,7},{5,6}}=>[2,8,4,7,6,5,3,1] {{1,2,3,8},{4,7},{5,6}}=>[2,3,8,7,6,5,4,1] {{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1] {{1,2,3,4,7,8},{5,6}}=>[2,3,4,7,6,5,8,1] {{1,2,3,4,5,7},{6},{8}}=>[2,3,4,5,7,6,1,8] {{1,8},{2,3,4,5,7},{6}}=>[8,3,4,5,7,6,2,1] {{1,2,8},{3,4,5,7},{6}}=>[2,8,4,5,7,6,3,1] {{1,2,3,8},{4,5,7},{6}}=>[2,3,8,5,7,6,4,1] {{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1] {{1,2,3,4,5,8},{6},{7}}=>[2,3,4,5,8,6,7,1] {{1,2,3,4,5,7,8},{6}}=>[2,3,4,5,7,6,8,1] {{1,2,3,4,5,6,7},{8}}=>[2,3,4,5,6,7,1,8] {{1,8},{2,3,4,5,6,7}}=>[8,3,4,5,6,7,2,1] {{1,2,8},{3,4,5,6,7}}=>[2,8,4,5,6,7,3,1] {{1,2,3,8},{4,5,6,7}}=>[2,3,8,5,6,7,4,1] {{1,2,3,4,8},{5,6,7}}=>[2,3,4,8,6,7,5,1] {{1,2,3,4,5,8},{6,7}}=>[2,3,4,5,8,7,6,1] {{1,2,3,4,5,6,8},{7}}=>[2,3,4,5,6,8,7,1] {{1,2,3,4,5,6,7,8}}=>[2,3,4,5,6,7,8,1] {{1,2,4,5,7,8},{3,6}}=>[2,4,6,5,7,3,8,1] {{1,2,5},{3,6},{4,7,8}}=>[2,5,6,7,1,3,8,4] {{1,2,5},{3,4,6,7,8}}=>[2,5,4,6,1,7,8,3] {{1,3,5,7},{2,4,6,8}}=>[3,4,5,6,7,8,1,2] {{1,2,3,5,6},{4,7,8}}=>[2,3,5,7,6,1,8,4] {{1,3,4,5,7,8},{2,6}}=>[3,6,4,5,7,2,8,1] {{1,2,4,5,6,8},{3,7}}=>[2,4,7,5,6,8,3,1] {{1,4,5,8},{2,6},{3,7}}=>[4,6,7,5,8,2,3,1] {{1,2,4,7},{3,8},{5},{6}}=>[2,4,8,7,5,6,1,3] {{1,2,5,8},{3,6},{4},{7}}=>[2,5,6,4,8,3,7,1] {{1,2,5,7},{3},{4,8},{6}}=>[2,5,3,8,7,6,1,4] {{1,2,6},{3,7},{4,8},{5}}=>[2,6,7,8,5,1,3,4] {{1,3,6,8},{2,4},{5},{7}}=>[3,4,6,2,5,8,7,1] {{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2] {{1,3,5,8},{2},{4,6},{7}}=>[3,2,5,6,8,4,7,1] {{1,3,5,7},{2},{4},{6,8}}=>[3,2,5,4,7,8,1,6] {{1,3,6},{2,7},{4},{5,8}}=>[3,7,6,4,8,1,2,5] {{1,4,8},{2,5},{3,6},{7}}=>[4,5,6,8,2,3,7,1] {{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6] {{1,4,6},{2},{3,7},{5,8}}=>[4,2,7,6,8,1,3,5] {{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1] {{1,2,4},{3,7},{5,8},{6}}=>[2,4,7,1,8,6,3,5] {{1,2,5},{3,8},{4,6},{7}}=>[2,5,8,6,1,4,7,3] {{1,2,5},{3,7},{4},{6,8}}=>[2,5,7,4,1,8,3,6] {{1,2,6,8},{3},{4,7},{5}}=>[2,6,3,7,5,8,4,1] {{1,3,4,8},{2,6},{5},{7}}=>[3,6,4,8,5,2,7,1] {{1,3,4},{2,7},{5,8},{6}}=>[3,7,4,1,8,6,2,5] {{1,3,8},{2,5,6},{4},{7}}=>[3,5,8,4,6,2,7,1] {{1,3,7,8},{2,5},{4},{6}}=>[3,5,7,4,2,6,8,1] {{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4] {{1,4},{2,8},{3,5,6},{7}}=>[4,8,5,1,6,3,7,2] {{1,4},{2,7,8},{3,5},{6}}=>[4,7,5,1,3,6,8,2] {{1,4},{2,6},{3},{5,7,8}}=>[4,6,3,1,7,2,8,5] {{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1] {{1,2,3,4,5,7},{6,8}}=>[2,3,4,5,7,8,1,6] {{1,3,5,6,7,8},{2,4}}=>[3,4,5,2,6,7,8,1] {{1},{2,4,6,8},{3,7},{5}}=>[1,4,7,6,5,8,3,2] {{1,3,5,7},{2,6},{4},{8}}=>[3,6,5,4,7,2,1,8] {{1},{2,4,6},{3,5,7,8}}=>[1,4,5,6,7,2,8,3] {{1},{2,3,5,7},{4,6,8}}=>[1,3,5,6,7,8,2,4] {{1,3,5},{2,4,6,7},{8}}=>[3,4,5,6,1,7,2,8] {{1,2,4,6},{3,5,7},{8}}=>[2,4,5,6,7,1,3,8] {{1},{2,3,4,5,7},{6,8}}=>[1,3,4,5,7,8,2,6] {{1,2,3,4,6},{5,7},{8}}=>[2,3,4,6,7,1,5,8] {{1},{2,3,4,6,8},{5,7}}=>[1,3,4,6,7,8,5,2] {{1,2,3,5,7},{4,6},{8}}=>[2,3,5,6,7,4,1,8] {{1,3,4,5,6},{2,8},{7}}=>[3,8,4,5,6,1,7,2] {{1,3,4,5,8},{2,7},{6}}=>[3,7,4,5,8,6,2,1] {{1,3,4,5,7},{2,8},{6}}=>[3,8,4,5,7,6,1,2] {{1,3,4,7,8},{2,6},{5}}=>[3,6,4,7,5,2,8,1] {{1,3,4,6,7},{2,8},{5}}=>[3,8,4,6,5,7,1,2] {{1,2,3,5,6},{4,7},{8}}=>[2,3,5,7,6,1,4,8] {{1,3,5},{2,4,6,8},{7}}=>[3,4,5,6,1,8,7,2] {{1,3,5,7},{2,4},{6,8}}=>[3,4,5,2,7,8,1,6] {{1,3,5},{2,4,7},{6,8}}=>[3,4,5,7,1,8,2,6] {{1,3},{2,4,6,8},{5,7}}=>[3,4,1,6,7,8,5,2] {{1,3,5},{2,4},{6,8},{7}}=>[3,4,5,2,1,8,7,6] {{1,3,6,8},{2,4,7},{5}}=>[3,4,6,7,5,8,2,1] {{1,2,3,5},{4,6,7},{8}}=>[2,3,5,6,1,7,4,8] {{1,3,6,8},{2,7},{4,5}}=>[3,7,6,5,4,8,2,1] {{1,2,7,8},{3,5},{4,6}}=>[2,7,5,6,3,4,8,1] {{1,3,6,8},{2,7},{4},{5}}=>[3,7,6,4,5,8,2,1] {{1,4,5,8},{2,3,6,7}}=>[4,3,6,5,8,7,2,1] {{1,3,4,5,6,8},{2,7}}=>[3,7,4,5,6,8,2,1] {{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4] {{1,6},{2,4},{3},{5,7},{8}}=>[6,4,3,2,7,1,5,8] {{1,6},{2,4},{3,7},{5},{8}}=>[6,4,7,2,5,1,3,8] {{1,5},{2,3},{4,6},{7},{8}}=>[5,3,2,6,1,4,7,8] {{1,6},{2,7},{3},{4},{5,8}}=>[6,7,3,4,8,1,2,5] {{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8] {{1,5},{2},{3,6},{4,7},{8}}=>[5,2,6,7,1,3,4,8] {{1,4},{2},{3,5},{6},{7},{8}}=>[4,2,5,1,3,6,7,8] {{1,4},{2,5},{3,6},{7},{8}}=>[4,5,6,1,2,3,7,8] {{1,3},{2,4},{5},{6},{7},{8}}=>[3,4,1,2,5,6,7,8] {{1,3,7},{2,4,6},{5},{8}}=>[3,4,7,6,5,2,1,8] {{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2] {{1,4,7},{2,3,5,6,8}}=>[4,3,5,7,6,8,1,2] {{1,2,3,5,7,8},{4,6}}=>[2,3,5,6,7,4,8,1] {{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2] {{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2] {{1,2,4,6,7,8},{3,5}}=>[2,4,5,6,3,7,8,1] {{1,2,4,6,8},{3,7},{5}}=>[2,4,7,6,5,8,3,1] {{1},{2,5,7,8},{3,6},{4}}=>[1,5,6,4,7,3,8,2] {{1,3,4,6,7},{2,5},{8}}=>[3,5,4,6,2,7,1,8] {{1},{2,4,5,7,8},{3,6}}=>[1,4,6,5,7,3,8,2] {{1},{2,4,6,7,8},{3,5}}=>[1,4,5,6,3,7,8,2] {{1},{2,3,5,7},{4,6},{8}}=>[1,3,5,6,7,4,2,8] {{1},{2},{3,4,6,8},{5,7}}=>[1,2,4,6,7,8,5,3] {{1,4,5,8},{2,7},{3,6}}=>[4,7,6,5,8,3,2,1] {{1,5,8},{2,7},{3,6},{4}}=>[5,7,6,4,8,3,2,1] {{1,2},{3},{4,6,8},{5,7}}=>[2,1,3,6,7,8,5,4] {{1,3,4,5,6,7},{2,8}}=>[3,8,4,5,6,7,1,2] {{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2] {{1,2,3,4,7},{5,6,8}}=>[2,3,4,7,6,8,1,5] {{1,3,5,7,8},{2,4,6}}=>[3,4,5,6,7,2,8,1] {{1,3,5,7},{2,4,6},{8}}=>[3,4,5,6,7,2,1,8] {{1,3,5},{2,4,6,7,8}}=>[3,4,5,6,1,7,8,2] {{1,3,5,8},{2,4,6,7}}=>[3,4,5,6,8,7,2,1] {{1,4},{2},{3,5,6,7,8}}=>[4,2,5,1,6,7,8,3] {{1,5,7},{2,4,6,8},{3}}=>[5,4,3,6,7,8,1,2] {{1,3,5,7},{2},{4,6,8}}=>[3,2,5,6,7,8,1,4] {{1,4,6,8},{2,3,5,7}}=>[4,3,5,6,7,8,2,1] {{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1] {{1,2,3,4,6,8},{5,7}}=>[2,3,4,6,7,8,5,1] {{1,3,5,7},{2,6,8},{4}}=>[3,6,5,4,7,8,1,2] {{1},{2,4,5,6},{3,8},{7}}=>[1,4,8,5,6,2,7,3] {{1},{2,3,5,8},{4,7},{6}}=>[1,3,5,7,8,6,4,2] {{1},{2,3,5,6},{4,7},{8}}=>[1,3,5,7,6,2,4,8] {{1},{2},{3,4,6,7},{5,8}}=>[1,2,4,6,8,7,3,5] {{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8] {{1,6,8},{2,7},{3,5},{4}}=>[6,7,5,4,3,8,2,1] {{1,2,5,8},{3,4,6,7}}=>[2,5,4,6,8,7,3,1] {{1,2,4,5,7},{3,6,8}}=>[2,4,6,5,7,8,1,3] {{1,2,6},{3,4,5,7},{8}}=>[2,6,4,5,7,1,3,8] {{1},{2,3,7},{4,5,6,8}}=>[1,3,7,5,6,8,2,4] {{1},{2,4,8},{3,5,6},{7}}=>[1,4,5,8,6,3,7,2] {{1,2,3,5,6,8},{4,7}}=>[2,3,5,7,6,8,4,1] {{1,3,4,6,7,8},{2,5}}=>[3,5,4,6,2,7,8,1] {{1,2,3,4,6,7},{5,8}}=>[2,3,4,6,8,7,1,5] {{1,4},{2,3,5,6,7,8}}=>[4,3,5,1,6,7,8,2] {{1},{2,3,5},{4,6,7},{8}}=>[1,3,5,6,2,7,4,8] {{1},{2},{3},{4,5,7},{6,8}}=>[1,2,3,5,7,8,4,6] {{1,2,4,5,6,7},{3,8}}=>[2,4,8,5,6,7,1,3] {{1},{2,4,6,8},{3,5,7}}=>[1,4,5,6,7,8,3,2] {{1},{2,4,8},{3,5,6,7}}=>[1,4,5,8,6,7,3,2] {{1},{2,3,5,6,8},{4,7}}=>[1,3,5,7,6,8,4,2] {{1,3,4,5,7},{2},{6,8}}=>[3,2,4,5,7,8,1,6] {{1,3,4,8},{2,5,6,7}}=>[3,5,4,8,6,7,2,1] {{1},{2},{3,5,8},{4,6,7}}=>[1,2,5,6,8,7,4,3] {{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2] {{1,2},{3},{4,5,7},{6,8}}=>[2,1,3,5,7,8,4,6] {{1,4},{2,5,7},{3,6},{8}}=>[4,5,6,1,7,3,2,8] {{1,3,6},{2,5},{4,7},{8}}=>[3,5,6,7,2,1,4,8] {{1},{2,4,7},{3,6},{5,8}}=>[1,4,6,7,8,3,2,5] {{1,4,5},{2,6},{3,7},{8}}=>[4,6,7,5,1,2,3,8] {{1,3,5},{2,6},{4,7},{8}}=>[3,6,5,7,1,2,4,8] {{1,3},{2,5},{4,6,7},{8}}=>[3,5,1,6,2,7,4,8] {{1,3},{2,4,5,6,7,8}}=>[3,4,1,5,6,7,8,2] {{1,3,5,7},{2},{4,8},{6}}=>[3,2,5,8,7,6,1,4] {{1,3,8},{2,6},{4,7},{5}}=>[3,6,8,7,5,2,4,1] {{1,3,6,8},{2},{4},{5,7}}=>[3,2,6,4,7,8,5,1] {{1,2,5,6},{3,4,7},{8}}=>[2,5,4,7,6,1,3,8] {{1,3,5,7},{2,6},{4,8}}=>[3,6,5,8,7,2,1,4] {{1,2,3,5},{4,6,7,8}}=>[2,3,5,6,1,7,8,4] {{1,2,4},{3,5,6},{7,8}}=>[2,4,5,1,6,3,8,7] {{1,2,3,4,6},{5,7,8}}=>[2,3,4,6,7,1,8,5] {{1,2},{3,4,6},{5,7,8}}=>[2,1,4,6,7,3,8,5] {{1,3,4,6,8},{2,5,7}}=>[3,5,4,6,7,8,2,1] {{1,3,5},{2,4,6},{7},{8}}=>[3,4,5,6,1,2,7,8] {{1,3,5,6,8},{2,4,7}}=>[3,4,5,7,6,8,2,1] {{1},{2},{3,5,7},{4,6},{8}}=>[1,2,5,6,7,4,3,8] {{1},{2,3,5},{4,6},{7},{8}}=>[1,3,5,6,2,4,7,8] {{1,2,4,6},{3,5,7,8}}=>[2,4,5,6,7,1,8,3] {{1,3,4,6,8},{2,7},{5}}=>[3,7,4,6,5,8,2,1] {{1},{2},{3,5,7},{4,6,8}}=>[1,2,5,6,7,8,3,4] {{1,2,4},{3,5,6,7,8}}=>[2,4,5,1,6,7,8,3] {{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5] {{1,4},{2,5},{3,6,7},{8}}=>[4,5,6,1,2,7,3,8] {{1,4,8},{2,3,5,6,7}}=>[4,3,5,8,6,7,2,1] {{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4] {{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2] {{1,3,4},{2},{5,7},{6,8}}=>[3,2,4,1,7,8,5,6] {{1,4,5,7},{2,3,8},{6}}=>[4,3,8,5,7,6,1,2] {{1,4,5,7},{2,8},{3},{6}}=>[4,8,3,5,7,6,1,2] {{1,2,5,7},{3,4,8},{6}}=>[2,5,4,8,7,6,1,3] {{1,2,4,5,7},{3,6},{8}}=>[2,4,6,5,7,3,1,8] {{1,2,3,7},{4,6},{5,8}}=>[2,3,7,6,8,4,1,5] {{1,2,3},{4,6},{5,7,8}}=>[2,3,1,6,7,4,8,5] {{1,2,4,5,7},{3,8},{6}}=>[2,4,8,5,7,6,1,3] {{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3] {{1,2,4,7,8},{3,6},{5}}=>[2,4,6,7,5,3,8,1] {{1,2,4},{3,5,7},{6,8}}=>[2,4,5,1,7,8,3,6] {{1,2,4,6,8},{3},{5,7}}=>[2,4,3,6,7,8,5,1] {{1,2,4,5,8},{3,6},{7}}=>[2,4,6,5,8,3,7,1] {{1,4,5,8},{2,3,7},{6}}=>[4,3,7,5,8,6,2,1] {{1,3,6,7,8},{2,5},{4}}=>[3,5,6,4,2,7,8,1] {{1,3,5,7},{2,4,8},{6}}=>[3,4,5,8,7,6,1,2] {{1,3,7},{2,4,6,8},{5}}=>[3,4,7,6,5,8,1,2] {{1,7},{2,4,5,6,8},{3}}=>[7,4,3,5,6,8,1,2] {{1},{2,5},{3,4,6,7,8}}=>[1,5,4,6,2,7,8,3] {{1,2,5,6,8},{3,7},{4}}=>[2,5,7,4,6,8,3,1] {{1,4,6},{2,3,7,8},{5}}=>[4,3,7,6,5,1,8,2] {{1},{2,3,5},{4,6,7,8}}=>[1,3,5,6,2,7,8,4] {{1,2,4,5},{3,6,8},{7}}=>[2,4,6,5,1,8,7,3] {{1,2,6,7},{3,5,8},{4}}=>[2,6,5,4,8,7,1,3] {{1,2,5,7,8},{3,6},{4}}=>[2,5,6,4,7,3,8,1] {{1,3,5,6,8},{2,7},{4}}=>[3,7,5,4,6,8,2,1] {{1,5,6,8},{2,3,7},{4}}=>[5,3,7,4,6,8,2,1] {{1,5,6,8},{2,3,4,7}}=>[5,3,4,7,6,8,2,1] {{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2] {{1,4,6},{2,8},{3,7},{5}}=>[4,8,7,6,5,1,3,2] {{1,4,6,7},{2,3,5,8}}=>[4,3,5,6,8,7,1,2] {{1,5,7,8},{2,3,4,6}}=>[5,3,4,6,7,2,8,1] {{1,2,4,5,8},{3,6,7}}=>[2,4,6,5,8,7,3,1] {{1,5},{2,3,4,6,7,8}}=>[5,3,4,6,1,7,8,2] {{1,5},{2,4,6,8},{3,7}}=>[5,4,7,6,1,8,3,2] {{1,4,6},{2,3,5,7,8}}=>[4,3,5,6,7,1,8,2] {{1},{2,4,5,7},{3},{6,8}}=>[1,4,3,5,7,8,2,6] {{1},{2,5,8},{3,4,6,7}}=>[1,5,4,6,8,7,3,2] {{1,5},{2,8},{3},{4,7},{6}}=>[5,8,3,7,1,6,4,2] {{1},{2,4,5,6,7},{3,8}}=>[1,4,8,5,6,7,2,3] {{1},{2},{3,5,6,7},{4,8}}=>[1,2,5,8,6,7,3,4] {{1,2,4,8},{3,5,6,7}}=>[2,4,5,8,6,7,3,1] {{1,4},{2},{3,5,6,7},{8}}=>[4,2,5,1,6,7,3,8] {{1,3,6,8},{2,4,5,7}}=>[3,4,6,5,7,8,2,1] {{1,6},{2,8},{3},{4,7},{5}}=>[6,8,3,7,5,1,4,2] {{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3] {{1,2,5,8},{3,4,7},{6}}=>[2,5,4,7,8,6,3,1] {{1,4,5,8},{2,3,6},{7}}=>[4,3,6,5,8,2,7,1] {{1,6,8},{2,3,4,5,7}}=>[6,3,4,5,7,8,2,1] {{1,3,4,6},{2},{5,7,8}}=>[3,2,4,6,7,1,8,5] {{1,4,5},{2,3,6,7,8}}=>[4,3,6,5,1,7,8,2] {{1,5,6,7},{2,4,8},{3}}=>[5,4,3,8,6,7,1,2] {{1,8},{2,6},{3},{4,7},{5}}=>[8,6,3,7,5,2,4,1] {{1,2,5,6},{3,4,7,8}}=>[2,5,4,7,6,1,8,3] {{1,3,4,7},{2,5,6,8}}=>[3,5,4,7,6,8,1,2] {{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2] {{1},{2,3,8},{4,6},{5,7}}=>[1,3,8,6,7,4,5,2] {{1},{2,5,6},{3},{4,7,8}}=>[1,5,3,7,6,2,8,4] {{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2] {{1,6},{2,5,7,8},{3},{4}}=>[6,5,3,4,7,1,8,2] {{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8] {{1,8},{2,5},{3},{4,7},{6}}=>[8,5,3,7,2,6,4,1] {{1,4},{2,5,8},{3},{6,7}}=>[4,5,3,1,8,7,6,2] {{1,3,7},{2,8},{4},{5,6}}=>[3,8,7,4,6,5,1,2] {{1,4,6},{2,3},{5,7,8}}=>[4,3,2,6,7,1,8,5] {{1,2,3,6},{4,5,7,8}}=>[2,3,6,5,7,1,8,4] {{1,4,7},{2,3,5,6},{8}}=>[4,3,5,7,6,2,1,8] {{1,5,8},{2,6},{3},{4,7}}=>[5,6,3,7,8,2,4,1] {{1,5},{2},{3,6},{4,7,8}}=>[5,2,6,7,1,3,8,4] {{1,5},{2,3,6},{4,7,8}}=>[5,3,6,7,1,2,8,4] {{1},{2},{3,5},{4,6,7,8}}=>[1,2,5,6,3,7,8,4] {{1,4,8},{2,7},{3,5},{6}}=>[4,7,5,8,3,6,2,1] {{1,4,6,8},{2},{3,5},{7}}=>[4,2,5,6,3,8,7,1] {{1,3,4,6,7},{2},{5,8}}=>[3,2,4,6,8,7,1,5] {{1,6},{2},{3,4,7},{5,8}}=>[6,2,4,7,8,1,3,5] {{1},{2,3,6},{4,7},{5,8}}=>[1,3,6,7,8,2,4,5] {{1},{2,3,7},{4},{5,6,8}}=>[1,3,7,4,6,8,2,5] {{1},{2,4,5},{3,7,8},{6}}=>[1,4,7,5,2,6,8,3] {{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2] {{1,4},{2,3,5,8},{6},{7}}=>[4,3,5,1,8,6,7,2] {{1,4},{2,3,5,6,8},{7}}=>[4,3,5,1,6,8,7,2] {{1,3,5,6,8},{2},{4,7}}=>[3,2,5,7,6,8,4,1] {{1,4,5,7,8},{2,3,6}}=>[4,3,6,5,7,2,8,1] {{1,2,3,6,8},{4,5,7}}=>[2,3,6,5,7,8,4,1] {{1,2,7},{3,6},{4,5,8}}=>[2,7,6,5,8,3,1,4] {{1,2,3,7},{4,5,6,8}}=>[2,3,7,5,6,8,1,4] {{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2] {{1},{2,4,6},{3,5,7},{8}}=>[1,4,5,6,7,2,3,8] {{1},{2},{3,5},{4,6},{7},{8}}=>[1,2,5,6,3,4,7,8] {{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1] {{1},{2,5,6},{3,4,7},{8}}=>[1,5,4,7,6,2,3,8] {{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2] {{1,3,8},{2,4,5},{6,7}}=>[3,4,8,5,2,7,6,1] {{1,2,4},{3,7,8},{5},{6}}=>[2,4,7,1,5,6,8,3] {{1,2},{3,5,8},{4,7},{6}}=>[2,1,5,7,8,6,4,3] {{1,2,6},{3,5},{4,8},{7}}=>[2,6,5,8,3,1,7,4] {{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1] {{1,4,8},{2,3,6},{5},{7}}=>[4,3,6,8,5,2,7,1] {{1,4,7},{2,3,8},{5},{6}}=>[4,3,8,7,5,6,1,2] {{1,6},{2,3,5},{4,8},{7}}=>[6,3,5,8,2,1,7,4] {{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1] {{1,6},{2,5},{3,4,8},{7}}=>[6,5,4,8,2,1,7,3] {{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1] {{1,2,3,6},{4,7},{5},{8}}=>[2,3,6,7,5,1,4,8] {{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2] {{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4] {{1,2,4,7},{3,5},{6},{8}}=>[2,4,5,7,3,6,1,8] {{1,3,5},{2,4,8},{6},{7}}=>[3,4,5,8,1,6,7,2] {{1,2,4,6},{3},{5,7},{8}}=>[2,4,3,6,7,1,5,8] {{1,7},{2,4,6,8},{3},{5}}=>[7,4,3,6,5,8,1,2] {{1,6},{2,4,7},{3,8},{5}}=>[6,4,8,7,5,1,2,3] {{1,2,5},{3,6},{4,7},{8}}=>[2,5,6,7,1,3,4,8] {{1,7},{2,5,8},{3,6},{4}}=>[7,5,6,4,8,3,1,2] {{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4] {{1,4,7,8},{2},{3,6},{5}}=>[4,2,6,7,5,3,8,1] {{1,5},{2,4,7,8},{3},{6}}=>[5,4,3,7,1,6,8,2] {{1,5},{2,6},{3,7,8},{4}}=>[5,6,7,4,1,2,8,3] {{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2] {{1,3},{2,4,6,8},{5},{7}}=>[3,4,1,6,5,8,7,2] {{1,4},{2,7},{3,6,8},{5}}=>[4,7,6,1,5,8,2,3] {{1,5,8},{2},{3,6},{4,7}}=>[5,2,6,7,8,3,4,1] {{1,3},{2,5,8},{4,7},{6}}=>[3,5,1,7,8,6,4,2] {{1,4},{2,6},{3,5,8},{7}}=>[4,6,5,1,8,2,7,3] {{1,2,7},{3,4,8},{5},{6}}=>[2,7,4,8,5,6,1,3] {{1,2,7},{3},{4,5,8},{6}}=>[2,7,3,5,8,6,1,4] {{1,8},{2,3,6},{4},{5,7}}=>[8,3,6,4,7,2,5,1] {{1,8},{2},{3,4,6},{5,7}}=>[8,2,4,6,7,3,5,1] {{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2] {{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3] {{1,2},{3,7},{4,5,8},{6}}=>[2,1,7,5,8,6,3,4] {{1},{2,3,5,6},{4,8},{7}}=>[1,3,5,8,6,2,7,4] {{1},{2,3},{4,6,8},{5,7}}=>[1,3,2,6,7,8,5,4] {{1},{2,6},{3,4,7,8},{5}}=>[1,6,4,7,5,2,8,3] {{1,4,7,8},{2,5},{3},{6}}=>[4,5,3,7,2,6,8,1] {{1,4,6,8},{2},{3,7},{5}}=>[4,2,7,6,5,8,3,1] {{1,5,8},{2,6},{3,7},{4}}=>[5,6,7,4,8,2,3,1] {{1,3},{2,5,7,8},{4},{6}}=>[3,5,1,4,7,6,8,2] {{1},{2,4,7,8},{3,5},{6}}=>[1,4,5,7,3,6,8,2] {{1},{2,4,6,8},{3},{5,7}}=>[1,4,3,6,7,8,5,2] {{1,6},{2,5,8},{3},{4,7}}=>[6,5,3,7,8,1,4,2] {{1,4},{2,5},{3,7,8},{6}}=>[4,5,7,1,2,6,8,3] {{1,4},{2},{3,6,8},{5,7}}=>[4,2,6,1,7,8,5,3] {{1},{2,6},{3,5,8},{4,7}}=>[1,6,5,7,8,2,4,3] {{1,2,3,5},{4,7},{6},{8}}=>[2,3,5,7,1,6,4,8] {{1,4},{2,3,6},{5,7},{8}}=>[4,3,6,1,7,2,5,8] {{1,7},{2,3,6},{4,8},{5}}=>[7,3,6,8,5,2,1,4] {{1,2,3,7},{4},{5,8},{6}}=>[2,3,7,4,8,6,1,5] {{1,2,4,5},{3,7},{6},{8}}=>[2,4,7,5,1,6,3,8] {{1,6},{2,4,5},{3,8},{7}}=>[6,4,8,5,2,1,7,3] {{1,2,4},{3,6,7},{5},{8}}=>[2,4,6,1,5,7,3,8] {{1,5,8},{2,4},{3,7},{6}}=>[5,4,7,2,8,6,3,1] {{1,3,8},{2,5},{4,6},{7}}=>[3,5,8,6,2,4,7,1] {{1,6,8},{2,5},{3,7},{4}}=>[6,5,7,4,2,8,3,1] {{1,6},{2},{3,5},{4,7,8}}=>[6,2,5,7,3,1,8,4] {{1,5,6,8},{2},{3,7},{4}}=>[5,2,7,4,6,8,3,1] {{1,4},{2,7},{3},{5,6,8}}=>[4,7,3,1,6,8,2,5] {{1,6,8},{2},{3,4,7},{5}}=>[6,2,4,7,5,8,3,1] {{1,7},{2},{3,4,6},{5,8}}=>[7,2,4,6,8,3,1,5] {{1,2,7},{3},{4,6},{5,8}}=>[2,7,3,6,8,4,1,5] {{1,2,6},{3,8},{4,5},{7}}=>[2,6,8,5,4,1,7,3] {{1,4,6},{2,3,8},{5},{7}}=>[4,3,8,6,5,1,7,2] {{1,4},{2,3,8},{5,7},{6}}=>[4,3,8,1,7,6,5,2] {{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2] {{1,5,8},{2,6},{3,4},{7}}=>[5,6,4,3,8,2,7,1] {{1,5},{2,7,8},{3,4},{6}}=>[5,7,4,3,1,6,8,2] {{1,5,8},{2,4},{3,6},{7}}=>[5,4,6,2,8,3,7,1] {{1,5},{2,4},{3,7,8},{6}}=>[5,4,7,2,1,6,8,3] {{1},{2,3,5},{4,6},{7,8}}=>[1,3,5,6,2,4,8,7] {{1},{2,3,7},{4,6},{5,8}}=>[1,3,7,6,8,4,2,5] {{1,5},{2,6,8},{3,4},{7}}=>[5,6,4,3,1,8,7,2] {{1,5,7},{2},{3,4},{6,8}}=>[5,2,4,3,7,8,1,6] {{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2] {{1,4,8},{2,6},{3},{5,7}}=>[4,6,3,8,7,2,5,1] {{1,5},{2,3,7,8},{4},{6}}=>[5,3,7,4,1,6,8,2] {{1,6},{2,3,8},{4,7},{5}}=>[6,3,8,7,5,1,4,2] {{1,4,5},{2,7,8},{3},{6}}=>[4,7,3,5,1,6,8,2] {{1,4},{2,6,7,8},{3},{5}}=>[4,6,3,1,5,7,8,2] {{1,5},{2,8},{3,6,7},{4}}=>[5,8,6,4,1,7,3,2] {{1,7},{2,4,5},{3,8},{6}}=>[7,4,8,5,2,6,1,3] {{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3] {{1,5},{2},{3,8},{4,6,7}}=>[5,2,8,6,1,7,4,3] {{1},{2,5},{3},{4,6,7,8}}=>[1,5,3,6,2,7,8,4] {{1},{2,4,7,8},{3,6},{5}}=>[1,4,6,7,5,3,8,2] {{1},{2,4},{3,5,7},{6,8}}=>[1,4,5,2,7,8,3,6] {{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2] {{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2] {{1,5,7},{2},{3},{4,6,8}}=>[5,2,3,6,7,8,1,4] {{1},{2,4,8},{3,6},{5,7}}=>[1,4,6,8,7,3,5,2] {{1,2,3,6,8},{4},{5,7}}=>[2,3,6,4,7,8,5,1] {{1,2,3,5,8},{4,6,7}}=>[2,3,5,6,8,7,4,1] {{1,2,3,6,7},{4,5,8}}=>[2,3,6,5,8,7,1,4] {{1,4,5,6,7},{2},{3,8}}=>[4,2,8,5,6,7,1,3] {{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2] {{1},{2,5,8},{3,7},{4,6}}=>[1,5,7,6,8,4,3,2] {{1,4,5,7},{2,3,6,8}}=>[4,3,6,5,7,8,1,2] {{1,3,6},{2,8},{4,5,7}}=>[3,8,6,5,7,1,4,2] {{1,3,5,6},{2,4,7,8}}=>[3,4,5,7,6,1,8,2] {{1},{2,6},{3,7},{4,5,8}}=>[1,6,7,5,8,2,3,4] {{1,3,5,6,7},{2,4,8}}=>[3,4,5,8,6,7,1,2] {{1,2,6},{3},{4,7,8},{5}}=>[2,6,3,7,5,1,8,4] {{1,3,4},{2,5,6,7,8}}=>[3,5,4,1,6,7,8,2] {{1,4,5,7},{2,6,8},{3}}=>[4,6,3,5,7,8,1,2] {{1,5},{2},{3,6,7,8},{4}}=>[5,2,6,4,1,7,8,3] {{1,3,5},{2,7,8},{4},{6}}=>[3,7,5,4,1,6,8,2] {{1,4,5},{2},{3,6,7},{8}}=>[4,2,6,5,1,7,3,8] {{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3] {{1,2,4,6},{3},{5,7,8}}=>[2,4,3,6,7,1,8,5] {{1},{2,7},{3,4},{5,6,8}}=>[1,7,4,3,6,8,2,5] {{1,5,6},{2,4,7},{3,8}}=>[5,4,8,7,6,1,2,3] {{1,2,3,6,7},{4},{5,8}}=>[2,3,6,4,8,7,1,5] {{1,2,6},{3,4,5,7,8}}=>[2,6,4,5,7,1,8,3] {{1,5,8},{2},{3,4,6,7}}=>[5,2,4,6,8,7,3,1] {{1},{2,4,6},{3,7},{5,8}}=>[1,4,7,6,8,2,3,5] {{1,4,5,6,8},{2,3,7}}=>[4,3,7,5,6,8,2,1] {{1,3,4,7},{2},{5,6,8}}=>[3,2,4,7,6,8,1,5] {{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5] {{1,2},{3,4,7},{5},{6,8}}=>[2,1,4,7,5,8,3,6] {{1,4,8},{2},{3,6},{5,7}}=>[4,2,6,8,7,3,5,1] {{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3] {{1,4,8},{2,3,7},{5},{6}}=>[4,3,7,8,5,6,2,1] {{1},{2,4,5,7},{3,8},{6}}=>[1,4,8,5,7,6,2,3] {{1,7},{2},{3,4,5},{6,8}}=>[7,2,4,5,3,8,1,6] {{1},{2,4,6},{3,8},{5,7}}=>[1,4,8,6,7,2,5,3] {{1},{2,7},{3,6},{4,5,8}}=>[1,7,6,5,8,3,2,4] {{1,2,3},{4,7},{5},{6,8}}=>[2,3,1,7,5,8,4,6] {{1,7},{2,3,8},{4},{5,6}}=>[7,3,8,4,6,5,1,2] {{1,2,7},{3,8},{4},{5,6}}=>[2,7,8,4,6,5,1,3] {{1,4,5,7},{2},{3,8},{6}}=>[4,2,8,5,7,6,1,3] {{1,5,6},{2},{3,8},{4,7}}=>[5,2,8,7,6,1,4,3] {{1,4,6,7},{2},{3,8},{5}}=>[4,2,8,6,5,7,1,3] {{1,3,6,7},{2,4,5,8}}=>[3,4,6,5,8,7,1,2] {{1,2,5,7},{3,4,6,8}}=>[2,5,4,6,7,8,1,3] {{1,2,5},{3,7,8},{4},{6}}=>[2,5,7,4,1,6,8,3] {{1,5},{2,4,6,7},{3,8}}=>[5,4,8,6,1,7,2,3] {{1,2,7},{3},{4,6,8},{5}}=>[2,7,3,6,5,8,1,4] {{1},{2,3,5,8},{4,6,7}}=>[1,3,5,6,8,7,4,2] {{1,3,4,5},{2,6,7,8}}=>[3,6,4,5,1,7,8,2] {{1,5,7,8},{2,6},{3},{4}}=>[5,6,3,4,7,2,8,1] {{1},{2,3,7},{4,6,8},{5}}=>[1,3,7,6,5,8,2,4] {{1,4,7},{2,3},{5},{6,8}}=>[4,3,2,7,5,8,1,6] {{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3] {{1,5},{2,6,7},{3,4},{8}}=>[5,6,4,3,1,7,2,8] {{1,5},{2,4,6,7,8},{3}}=>[5,4,3,6,1,7,8,2] {{1,4},{2},{3,8},{5,6,7}}=>[4,2,8,1,6,7,5,3] {{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1] {{1,8},{2,5},{3,7},{4},{6}}=>[8,5,7,4,2,6,3,1] {{1,3,5,6,7},{2},{4,8}}=>[3,2,5,8,6,7,1,4] {{1},{2,4,5,8},{3,6,7}}=>[1,4,6,5,8,7,3,2] {{1},{2,7},{3,8},{4,5,6}}=>[1,7,8,5,6,4,2,3] {{1},{2},{3,5,6,8},{4,7}}=>[1,2,5,7,6,8,4,3] {{1},{2,5,6},{3,8},{4,7}}=>[1,5,8,7,6,2,4,3] {{1},{2,6},{3,7,8},{4,5}}=>[1,6,7,5,4,2,8,3] {{1,4,6},{2,3,5},{7,8}}=>[4,3,5,6,2,1,8,7] {{1,2,5,7,8},{3,4,6}}=>[2,5,4,6,7,3,8,1] {{1},{2,3,5,7},{4},{6,8}}=>[1,3,5,4,7,8,2,6] {{1,4},{2,3,6,7,8},{5}}=>[4,3,6,1,5,7,8,2] {{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1] {{1,3,5,6},{2,4},{7},{8}}=>[3,4,5,2,6,1,7,8] {{1,2},{3,6,8},{4,7},{5}}=>[2,1,6,7,5,8,4,3] {{1,2,3,6},{4},{5,7,8}}=>[2,3,6,4,7,1,8,5] {{1,6,8},{2,4,7},{3},{5}}=>[6,4,3,7,5,8,2,1] {{1,5,8},{2,6,7},{3},{4}}=>[5,6,3,4,8,7,2,1] {{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2] {{1,3,4,8},{2,6},{5,7}}=>[3,6,4,8,7,2,5,1] {{1},{2,3,6},{4},{5,7,8}}=>[1,3,6,4,7,2,8,5] {{1},{2,5,7},{3,8},{4,6}}=>[1,5,8,6,7,4,2,3] {{1,6},{2,4,5,7,8},{3}}=>[6,4,3,5,7,1,8,2] {{1,5},{2,3,6},{4,7},{8}}=>[5,3,6,7,1,2,4,8] {{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3] {{1,5,6,7},{2,3,4,8}}=>[5,3,4,8,6,7,1,2] {{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4] {{1,4,6},{2},{3,5,8},{7}}=>[4,2,5,6,8,1,7,3] {{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3] {{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3] {{1,2,5},{3},{4,7,8},{6}}=>[2,5,3,7,1,6,8,4] {{1,6,7},{2},{3,4,8},{5}}=>[6,2,4,8,5,7,1,3] {{1,6},{2},{3,4,7,8},{5}}=>[6,2,4,7,5,1,8,3] {{1,4,7,8},{2},{3,5},{6}}=>[4,2,5,7,3,6,8,1] {{1,5},{2,3,4,7,8},{6}}=>[5,3,4,7,1,6,8,2] {{1},{2,6,8},{3,5,7},{4}}=>[1,6,5,4,7,8,3,2] {{1,2,6,7},{3},{4,8},{5}}=>[2,6,3,8,5,7,1,4] {{1,4,7},{2,8},{3},{5,6}}=>[4,8,3,7,6,5,1,2] {{1,7},{2,8},{3},{4,6},{5}}=>[7,8,3,6,5,4,1,2] {{1,2,4},{3,5,7,8},{6}}=>[2,4,5,1,7,6,8,3] {{1,2,4,6,7},{3},{5,8}}=>[2,4,3,6,8,7,1,5] {{1,6,7},{2,3,5,8},{4}}=>[6,3,5,4,8,7,1,2] {{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4] {{1},{2,5},{3,4,6,7},{8}}=>[1,5,4,6,2,7,3,8] {{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6] {{1,6,7},{2},{3,5},{4,8}}=>[6,2,5,8,3,7,1,4] {{1,6,7},{2},{3,8},{4,5}}=>[6,2,8,5,4,7,1,3] {{1,4,6,7,8},{2,3,5}}=>[4,3,5,6,2,7,8,1] {{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4] {{1,3,5,8},{2,7},{4},{6}}=>[3,7,5,4,8,6,2,1] {{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1] {{1,3,6,7},{2},{4},{5,8}}=>[3,2,6,4,8,7,1,5] {{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3] {{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4] {{1},{2,5,7},{3,6,8},{4}}=>[1,5,6,4,7,8,2,3] {{1},{2,5},{3,7,8},{4,6}}=>[1,5,7,6,2,4,8,3] {{1},{2,4,5},{3,7},{6,8}}=>[1,4,7,5,2,8,3,6] {{1,2,8},{3},{4,6},{5,7}}=>[2,8,3,6,7,4,5,1] {{1,3,7},{2,5},{4},{6},{8}}=>[3,5,7,4,2,6,1,8] {{1,3,4,7,8},{2,5},{6}}=>[3,5,4,7,2,6,8,1] {{1,5},{2,6},{3,4,8},{7}}=>[5,6,4,8,1,2,7,3] {{1,7},{2,8},{3,6},{4},{5}}=>[7,8,6,4,5,3,1,2] {{1,5},{2,7},{3},{4,8},{6}}=>[5,7,3,8,1,6,2,4] {{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2] {{1,5,6},{2,7,8},{3},{4}}=>[5,7,3,4,6,1,8,2] {{1,5},{2,3,4,7},{6,8}}=>[5,3,4,7,1,8,2,6] {{1,3,8},{2,4,5,6,7}}=>[3,4,8,5,6,7,2,1] {{1,3,4,6},{2,8},{5,7}}=>[3,8,4,6,7,1,5,2] {{1,3},{2,7},{4,5,6,8}}=>[3,7,1,5,6,8,2,4] {{1,4,6},{2,7},{3},{5,8}}=>[4,7,3,6,8,1,2,5] {{1},{2,7},{3},{4,5,6,8}}=>[1,7,3,5,6,8,2,4] {{1,3,8},{2,6},{4,5,7}}=>[3,6,8,5,7,2,4,1] {{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1] {{1,2,7},{3,4,6,8},{5}}=>[2,7,4,6,5,8,1,3] {{1},{2,5,7},{3,4,8},{6}}=>[1,5,4,8,7,6,2,3] {{1,3,4,8},{2,7},{5,6}}=>[3,7,4,8,6,5,2,1] {{1,2},{3,7},{4,5,6,8}}=>[2,1,7,5,6,8,3,4] {{1,2,8},{3,4,6},{5,7}}=>[2,8,4,6,7,3,5,1] {{1,3,4},{2,7},{5,6,8}}=>[3,7,4,1,6,8,2,5] {{1},{2,3,6},{4,5,7,8}}=>[1,3,6,5,7,2,8,4] {{1},{2,7},{3,4,6,8},{5}}=>[1,7,4,6,5,8,2,3] {{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7] {{1,3,4,7},{2,6,8},{5}}=>[3,6,4,7,5,8,1,2] {{1,2},{3,6,8},{4,5,7}}=>[2,1,6,5,7,8,4,3] {{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2] {{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2] {{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4] {{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3] {{1,3,5,8},{2,7},{4,6}}=>[3,7,5,6,8,4,2,1] {{1,7},{2,3,5},{4,6,8}}=>[7,3,5,6,2,8,1,4] {{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7] {{1,4},{2,3,5,6},{7,8}}=>[4,3,5,1,6,2,8,7] {{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5] {{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5] {{1,5,7,8},{2},{3,4,6}}=>[5,2,4,6,7,3,8,1] {{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5] {{1,2},{3,6},{4,5,7,8}}=>[2,1,6,5,7,3,8,4] {{1,4,6},{2,5,8},{3,7}}=>[4,5,7,6,8,1,3,2] {{1,4,7},{2,6},{3,5,8}}=>[4,6,5,7,8,2,1,3] {{1,6},{2,5},{3,4,7,8}}=>[6,5,4,7,2,1,8,3] {{1,5,6,8},{2,4,7},{3}}=>[5,4,3,7,6,8,2,1] {{1,3,4,8},{2,5,7},{6}}=>[3,5,4,8,7,6,2,1] {{1,3,4,6,8},{2,5},{7}}=>[3,5,4,6,2,8,7,1] {{1,4},{2,3,6,7},{5,8}}=>[4,3,6,1,8,7,2,5] {{1,2,5,6},{3,8},{4,7}}=>[2,5,8,7,6,1,4,3] {{1},{2,3,5,7,8},{4,6}}=>[1,3,5,6,7,4,8,2] {{1},{2,3,5,6},{4,7,8}}=>[1,3,5,7,6,2,8,4] {{1},{2,3,5},{4,7,8},{6}}=>[1,3,5,7,2,6,8,4] {{1},{2,3,5},{4,7},{6},{8}}=>[1,3,5,7,2,6,4,8] {{1},{2,3,5},{4,7},{6,8}}=>[1,3,5,7,2,8,4,6] {{1},{2,3},{4,5,7},{6,8}}=>[1,3,2,5,7,8,4,6] {{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1] {{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1] {{1,3,5,6,7},{2,8},{4}}=>[3,8,5,4,6,7,1,2] {{1,4,7},{2,8},{3,6},{5}}=>[4,8,6,7,5,3,1,2] {{1},{2,4,8},{3,7},{5,6}}=>[1,4,7,8,6,5,3,2] {{1,3,6},{2},{4,5,8},{7}}=>[3,2,6,5,8,1,7,4] {{1,3,4,5},{2,6},{7},{8}}=>[3,6,4,5,1,2,7,8] {{1,4},{2,3,6},{5},{7},{8}}=>[4,3,6,1,5,2,7,8] {{1,4},{2,3,5,7},{6},{8}}=>[4,3,5,1,7,6,2,8] {{1,3,6},{2,4,5,8},{7}}=>[3,4,6,5,8,1,7,2] {{1,5},{2,6},{3},{4},{7,8}}=>[5,6,3,4,1,2,8,7] {{1,7},{2,8},{3,5},{4},{6}}=>[7,8,5,4,3,6,1,2] {{1,7},{2,8},{3},{4,5},{6}}=>[7,8,3,5,4,6,1,2] {{1,2},{3,7},{4,8},{5},{6}}=>[2,1,7,8,5,6,3,4] {{1,7},{2,5},{3,8},{4},{6}}=>[7,5,8,4,2,6,1,3] {{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1] {{1,2,5,7},{3,4},{6,8}}=>[2,5,4,3,7,8,1,6] {{1,2,7},{3},{4,5,6,8}}=>[2,7,3,5,6,8,1,4] {{1},{2,7},{3,6},{4},{5,8}}=>[1,7,6,4,8,3,2,5] {{1,3},{2,5,6,8},{4,7}}=>[3,5,1,7,6,8,4,2] {{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6] {{1,2,3,5},{4,7},{6,8}}=>[2,3,5,7,1,8,4,6] {{1,5,6,7},{2,4},{3,8}}=>[5,4,8,2,6,7,1,3] {{1,5,6},{2,4,8},{3,7}}=>[5,4,7,8,6,1,3,2] {{1,2,4,6},{3,8},{5,7}}=>[2,4,8,6,7,1,5,3] {{1,5,6},{2},{3},{4,7,8}}=>[5,2,3,7,6,1,8,4] {{1,2},{3,7},{4},{5,6,8}}=>[2,1,7,4,6,8,3,5] {{1,4},{2,3,7},{5},{6,8}}=>[4,3,7,1,5,8,2,6] {{1},{2,3,6},{4,8},{5,7}}=>[1,3,6,8,7,2,5,4] {{1,5,8},{2,3},{4,7},{6}}=>[5,3,2,7,8,6,4,1] {{1,3,5,6},{2},{4,8},{7}}=>[3,2,5,8,6,1,7,4] {{1,5},{2,4,7},{3},{6,8}}=>[5,4,3,7,1,8,2,6] {{1,4,6},{2,8},{3},{5,7}}=>[4,8,3,6,7,1,5,2] {{1,3},{2,5,7},{4,8},{6}}=>[3,5,1,8,7,6,2,4] {{1,4,7},{2},{3,8},{5,6}}=>[4,2,8,7,6,5,1,3] {{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1] {{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5] {{1,4,6},{2,3},{5,8},{7}}=>[4,3,2,6,8,1,7,5] {{1,5},{2},{3,4,6,7},{8}}=>[5,2,4,6,1,7,3,8] {{1,6},{2,5},{3},{4,7,8}}=>[6,5,3,7,2,1,8,4] {{1},{2,4,5,8},{3,7},{6}}=>[1,4,7,5,8,6,3,2] {{1},{2},{3,4,7},{5,6,8}}=>[1,2,4,7,6,8,3,5] {{1},{2,6,8},{3,4,7},{5}}=>[1,6,4,7,5,8,3,2] {{1,4},{2,7},{3,5,8},{6}}=>[4,7,5,1,8,6,2,3] {{1,4,7},{2},{3},{5,6,8}}=>[4,2,3,7,6,8,1,5] {{1,5,6,7},{2},{3},{4,8}}=>[5,2,3,8,6,7,1,4] {{1},{2,3,7},{4,8},{5,6}}=>[1,3,7,8,6,5,2,4] {{1},{2,4,6,7},{3},{5,8}}=>[1,4,3,6,8,7,2,5] {{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2] {{1},{2,4},{3,5,6,7},{8}}=>[1,4,5,2,6,7,3,8] {{1,3},{2,4,7,8},{5},{6}}=>[3,4,1,7,5,6,8,2] {{1,4,6,8},{2,7},{3},{5}}=>[4,7,3,6,5,8,2,1] {{1,7},{2,8},{3},{4,5,6}}=>[7,8,3,5,6,4,1,2] {{1,7},{2,5},{3,4,8},{6}}=>[7,5,4,8,2,6,1,3] {{1},{2,4,7},{3},{5,6,8}}=>[1,4,3,7,6,8,2,5] {{1,5,8},{2},{3,7},{4,6}}=>[5,2,7,6,8,4,3,1] {{1,4},{2,3,6},{5},{7,8}}=>[4,3,6,1,5,2,8,7] {{1,3,4},{2,5,7},{6},{8}}=>[3,5,4,1,7,6,2,8] {{1,5,6,8},{2,7},{3},{4}}=>[5,7,3,4,6,8,2,1] {{1,6},{2},{3,4},{5,7,8}}=>[6,2,4,3,7,1,8,5] {{1},{2,5},{3,4,7},{6,8}}=>[1,5,4,7,2,8,3,6] {{1,6,8},{2},{3,7},{4,5}}=>[6,2,7,5,4,8,3,1] {{1},{2},{3,7},{4,5,6,8}}=>[1,2,7,5,6,8,3,4] {{1,2,5},{3,4,6},{7},{8}}=>[2,5,4,6,1,3,7,8] {{1},{2,6},{3,4,5,7},{8}}=>[1,6,4,5,7,2,3,8] {{1},{2,5},{3,7},{4,6,8}}=>[1,5,7,6,2,8,3,4] {{1},{2,5,7,8},{3},{4,6}}=>[1,5,3,6,7,4,8,2] {{1},{2},{3,6},{4,5,7,8}}=>[1,2,6,5,7,3,8,4] {{1,6},{2,4,7,8},{3},{5}}=>[6,4,3,7,5,1,8,2] {{1,5,8},{2},{3,6,7},{4}}=>[5,2,6,4,8,7,3,1] {{1},{2,5,8},{3,4,7},{6}}=>[1,5,4,7,8,6,3,2] {{1},{2,4},{3,6,7,8},{5}}=>[1,4,6,2,5,7,8,3] {{1,3,7},{2,8},{4,5},{6}}=>[3,8,7,5,4,6,1,2] {{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2] {{1},{2,6},{3,4},{5,7,8}}=>[1,6,4,3,7,2,8,5] {{1,7},{2},{3,5},{4,6,8}}=>[7,2,5,6,3,8,1,4] {{1,6},{2,7,8},{3,5},{4}}=>[6,7,5,4,3,1,8,2] {{1,6},{2},{3,4,5,8},{7}}=>[6,2,4,5,8,1,7,3] {{1,3},{2,4,5,8},{6},{7}}=>[3,4,1,5,8,6,7,2] {{1,3},{2,4},{5,6,8},{7}}=>[3,4,1,2,6,8,7,5] {{1,5},{2,4,8},{3},{6,7}}=>[5,4,3,8,1,7,6,2] {{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2] {{1,7},{2,6,8},{3},{4,5}}=>[7,6,3,5,4,8,1,2] {{1,2,7},{3,5},{4,8},{6}}=>[2,7,5,8,3,6,1,4] {{1,2,4},{3,7},{5,6},{8}}=>[2,4,7,1,6,5,3,8] {{1,3,5},{2,8},{4,6},{7}}=>[3,8,5,6,1,4,7,2] {{1,5,8},{2,7},{3},{4,6}}=>[5,7,3,6,8,4,2,1] {{1,3,6},{2,5},{4},{7,8}}=>[3,5,6,4,2,1,8,7] {{1,3},{2},{4,6},{5,7,8}}=>[3,2,1,6,7,4,8,5] {{1,3},{2,7,8},{4,6},{5}}=>[3,7,1,6,5,4,8,2] {{1,5},{2},{3},{4,6,7,8}}=>[5,2,3,6,1,7,8,4] {{1},{2,6},{3},{4,5,7,8}}=>[1,6,3,5,7,2,8,4] {{1,3},{2,4,8},{5},{6,7}}=>[3,4,1,8,5,7,6,2] {{1},{2,8},{3,6},{4,5,7}}=>[1,8,6,5,7,3,4,2] {{1,6,7},{2,3},{4,8},{5}}=>[6,3,2,8,5,7,1,4] {{1,3,5},{2,7},{4,8},{6}}=>[3,7,5,8,1,6,2,4] {{1,3,5,8},{2,4},{6},{7}}=>[3,4,5,2,8,6,7,1] {{1,4,5},{2,8},{3},{6,7}}=>[4,8,3,5,1,7,6,2] {{1,3,8},{2,4,7},{5},{6}}=>[3,4,8,7,5,6,2,1] {{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1] {{1,4,6},{2},{3},{5,7,8}}=>[4,2,3,6,7,1,8,5] {{1,2,7},{3,8},{4,5},{6}}=>[2,7,8,5,4,6,1,3] {{1,7},{2,4,5},{3},{6,8}}=>[7,4,3,5,2,8,1,6] {{1,7,8},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,8,1] {{1,6},{2,4,7},{3},{5,8}}=>[6,4,3,7,8,1,2,5] {{1,2,5,7},{3},{4},{6,8}}=>[2,5,3,4,7,8,1,6] {{1,6},{2,4},{3,7,8},{5}}=>[6,4,7,2,5,1,8,3] {{1,7},{2,5,8},{3},{4,6}}=>[7,5,3,6,8,4,1,2] {{1,5,7,8},{2},{3},{4,6}}=>[5,2,3,6,7,4,8,1] {{1,2,5},{3},{4,6,7},{8}}=>[2,5,3,6,1,7,4,8] {{1,3,4},{2,6,8},{5},{7}}=>[3,6,4,1,5,8,7,2] {{1,4,8},{2},{3,5,6},{7}}=>[4,2,5,8,6,3,7,1] {{1,2},{3,5,6},{4,8},{7}}=>[2,1,5,8,6,3,7,4] {{1,3,4},{2,8},{5,6},{7}}=>[3,8,4,1,6,5,7,2] {{1,3,5,6},{2,8},{4},{7}}=>[3,8,5,4,6,1,7,2] {{1},{2,5},{3,6,7},{4,8}}=>[1,5,6,8,2,7,3,4] {{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3] {{1,3,7},{2},{4,5,8},{6}}=>[3,2,7,5,8,6,1,4] {{1,3,7},{2},{4},{5,6,8}}=>[3,2,7,4,6,8,1,5] {{1,3,7},{2},{4,6},{5,8}}=>[3,2,7,6,8,4,1,5] {{1,5,8},{2,3,7},{4},{6}}=>[5,3,7,4,8,6,2,1] {{1},{2,5},{3,6},{4,7,8}}=>[1,5,6,7,2,3,8,4] {{1,6,7},{2,4},{3},{5,8}}=>[6,4,3,2,8,7,1,5] {{1},{2,4,5},{3,6,7},{8}}=>[1,4,6,5,2,7,3,8] {{1},{2},{3,5,6},{4,7,8}}=>[1,2,5,7,6,3,8,4] {{1},{2,4},{3,6,7},{5,8}}=>[1,4,6,2,8,7,3,5] {{1,3,8},{2,6},{4,5},{7}}=>[3,6,8,5,4,2,7,1] {{1,3,6},{2,7,8},{4},{5}}=>[3,7,6,4,5,1,8,2] {{1},{2,6},{3,8},{4,5,7}}=>[1,6,8,5,7,2,4,3] {{1,5},{2,3,4,6},{7},{8}}=>[5,3,4,6,1,2,7,8] {{1,5},{2,6},{3,4,7},{8}}=>[5,6,4,7,1,2,3,8] {{1,7},{2,3,4,8},{5},{6}}=>[7,3,4,8,5,6,1,2] {{1,8},{2,6},{3,5,7},{4}}=>[8,6,5,4,7,2,3,1] {{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1] {{1,8},{2,4,7},{3,6},{5}}=>[8,4,6,7,5,3,2,1] {{1,3},{2,4,5},{6},{7,8}}=>[3,4,1,5,2,6,8,7] {{1,4,6},{2,5},{3},{7,8}}=>[4,5,3,6,2,1,8,7] {{1,4},{2,3,6,8},{5},{7}}=>[4,3,6,1,5,8,7,2] {{1,4},{2,3,6},{5,8},{7}}=>[4,3,6,1,8,2,7,5] {{1},{2,3},{4,6},{5,7,8}}=>[1,3,2,6,7,4,8,5] {{1},{2,4},{3,7},{5,6,8}}=>[1,4,7,2,6,8,3,5] {{1},{2,3},{4,7},{5,6,8}}=>[1,3,2,7,6,8,4,5] {{1},{2},{3,6,8},{4,5,7}}=>[1,2,6,5,7,8,4,3] {{1,2,3,5},{4,6},{7},{8}}=>[2,3,5,6,1,4,7,8] {{1,3,8},{2,7},{4,5},{6}}=>[3,7,8,5,4,6,2,1] {{1,8},{2,4,5},{3,6},{7}}=>[8,4,6,5,2,3,7,1] {{1},{2,3,6,7},{4},{5,8}}=>[1,3,6,4,8,7,2,5] {{1,4,6,7},{2},{3},{5,8}}=>[4,2,3,6,8,7,1,5] {{1,2,6},{3},{4,7},{5,8}}=>[2,6,3,7,8,1,4,5] {{1,6,7},{2},{3,5,8},{4}}=>[6,2,5,4,8,7,1,3] {{1,7,8},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,8,1] {{1,5},{2,4,6},{3,7},{8}}=>[5,4,7,6,1,2,3,8] {{1,4,6},{2,7,8},{3},{5}}=>[4,7,3,6,5,1,8,2] {{1,3,4,8},{2,7},{5},{6}}=>[3,7,4,8,5,6,2,1] {{1,2,4},{3,5,8},{6},{7}}=>[2,4,5,1,8,6,7,3] {{1,4,5},{2,3,6},{7},{8}}=>[4,3,6,5,1,2,7,8] {{1,2,4,7},{3},{5},{6,8}}=>[2,4,3,7,5,8,1,6] {{1,2,6},{3,7},{4,5},{8}}=>[2,6,7,5,4,1,3,8] {{1},{2,4,5,6},{3,7},{8}}=>[1,4,7,5,6,2,3,8] {{1,5,7},{2},{3,8},{4,6}}=>[5,2,8,6,7,4,1,3] {{1},{2,6,8},{3,7},{4,5}}=>[1,6,7,5,4,8,3,2] {{1,8},{2},{3,5,6},{4,7}}=>[8,2,5,7,6,3,4,1] {{1,7},{2,4},{3},{5,6,8}}=>[7,4,3,2,6,8,1,5] {{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3] {{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4] {{1,6},{2,7},{3},{4,5,8}}=>[6,7,3,5,8,1,2,4] {{1,3},{2,5,8},{4,6},{7}}=>[3,5,1,6,8,4,7,2] {{1,8},{2,4,5},{3,7},{6}}=>[8,4,7,5,2,6,3,1] {{1,7},{2},{3,5,6},{4,8}}=>[7,2,5,8,6,3,1,4] {{1},{2,3},{4,6,7},{5,8}}=>[1,3,2,6,8,7,4,5] {{1},{2,4},{3,6,8},{5,7}}=>[1,4,6,2,7,8,5,3] {{1,3,5},{2,6},{4},{7,8}}=>[3,6,5,4,1,2,8,7] {{1,3,6},{2},{4,5,7},{8}}=>[3,2,6,5,7,1,4,8] {{1,6},{2},{3,7,8},{4,5}}=>[6,2,7,5,4,1,8,3] {{1,5,6},{2,8},{3},{4,7}}=>[5,8,3,7,6,1,4,2] {{1,5,7},{2,3},{4,8},{6}}=>[5,3,2,8,7,6,1,4] {{1,6},{2},{3,5,7},{4,8}}=>[6,2,5,8,7,1,3,4] {{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1] {{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4] {{1,3,4},{2,7},{5,6},{8}}=>[3,7,4,1,6,5,2,8] {{1,4},{2,6},{3,5,7},{8}}=>[4,6,5,1,7,2,3,8] {{1,3},{2,5,6},{4},{7,8}}=>[3,5,1,4,6,2,8,7] {{1,4},{2,5},{3},{6,7,8}}=>[4,5,3,1,2,7,8,6] {{1,2,7},{3,5,8},{4},{6}}=>[2,7,5,4,8,6,1,3] {{1,6,7},{2,4,8},{3},{5}}=>[6,4,3,8,5,7,1,2] {{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3] {{1,5,6,7},{2,8},{3},{4}}=>[5,8,3,4,6,7,1,2] {{1,6,8},{2,4},{3,7},{5}}=>[6,4,7,2,5,8,3,1] {{1,7},{2,6},{3,4,8},{5}}=>[7,6,4,8,5,2,1,3] {{1,6},{2,3},{4,5,7},{8}}=>[6,3,2,5,7,1,4,8] {{1},{2},{3,6,7},{4,5,8}}=>[1,2,6,5,8,7,3,4] {{1,4},{2,6,7},{3},{5,8}}=>[4,6,3,1,8,7,2,5] {{1,6},{2,3,4},{5,8},{7}}=>[6,3,4,2,8,1,7,5] {{1,3},{2,7},{4,5,8},{6}}=>[3,7,1,5,8,6,2,4] {{1,7},{2,4,8},{3},{5,6}}=>[7,4,3,8,6,5,1,2] {{1,3,5},{2,8},{4},{6,7}}=>[3,8,5,4,1,7,6,2] {{1,8},{2,4},{3,5,6},{7}}=>[8,4,5,2,6,3,7,1] {{1,5,8},{2,3},{4,6},{7}}=>[5,3,2,6,8,4,7,1] {{1,8},{2,5},{3,4,6},{7}}=>[8,5,4,6,2,3,7,1] {{1,5},{2,3,8},{4},{6,7}}=>[5,3,8,4,1,7,6,2] {{1,2,5},{3,8},{4,7},{6}}=>[2,5,8,7,1,6,4,3] {{1,5,7},{2,3},{4},{6,8}}=>[5,3,2,4,7,8,1,6] {{1,4,7},{2},{3,5},{6,8}}=>[4,2,5,7,3,8,1,6] {{1},{2,5,6},{3,7},{4,8}}=>[1,5,7,8,6,2,3,4] {{1},{2,7},{3,4,6},{5,8}}=>[1,7,4,6,8,3,2,5] {{1,2},{3,6,7},{4,8},{5}}=>[2,1,6,8,5,7,3,4] {{1,2},{3,6},{4,7,8},{5}}=>[2,1,6,7,5,3,8,4] {{1},{2,4,8},{3,5},{6,7}}=>[1,4,5,8,3,7,6,2] {{1},{2,4},{3,8},{5,6,7}}=>[1,4,8,2,6,7,5,3] {{1,3},{2,6,7},{4},{5,8}}=>[3,6,1,4,8,7,2,5] {{1,3},{2,8},{4,5,7},{6}}=>[3,8,1,5,7,6,4,2] {{1,3,6},{2},{4,8},{5,7}}=>[3,2,6,8,7,1,5,4] {{1,6},{2,4},{3},{5,7,8}}=>[6,4,3,2,7,1,8,5] {{1},{2,6},{3,5},{4,7,8}}=>[1,6,5,7,3,2,8,4] {{1},{2,6},{3,5,7},{4,8}}=>[1,6,5,8,7,2,3,4] {{1,5},{2},{3,6,7},{4,8}}=>[5,2,6,8,1,7,3,4] {{1,6},{2,3,7},{4},{5,8}}=>[6,3,7,4,8,1,2,5] {{1,5},{2},{3,7},{4,6,8}}=>[5,2,7,6,1,8,3,4] {{1,5},{2,6},{3},{4,7,8}}=>[5,6,3,7,1,2,8,4] {{1,3,8},{2,5},{4},{6,7}}=>[3,5,8,4,2,7,6,1] {{1,5,6},{2,4},{3,8},{7}}=>[5,4,8,2,6,1,7,3] {{1,5},{2,3,8},{4,6},{7}}=>[5,3,8,6,1,4,7,2] {{1,5},{2,8},{3,4,6},{7}}=>[5,8,4,6,1,3,7,2] {{1,4,5},{2,8},{3,6},{7}}=>[4,8,6,5,1,3,7,2] {{1,5,7},{2,8},{3,4},{6}}=>[5,8,4,3,7,6,1,2] {{1,5,7},{2,3,8},{4},{6}}=>[5,3,8,4,7,6,1,2] {{1,5},{2,3,7},{4},{6,8}}=>[5,3,7,4,1,8,2,6] {{1,4,5},{2,7},{3},{6,8}}=>[4,7,3,5,1,8,2,6] {{1,7},{2,6,8},{3,4},{5}}=>[7,6,4,3,5,8,1,2] {{1,7},{2,3,6,8},{4},{5}}=>[7,3,6,4,5,8,1,2] {{1,8},{2,6},{3},{4,5,7}}=>[8,6,3,5,7,2,4,1] {{1,8},{2,5,6},{3},{4,7}}=>[8,5,3,7,6,2,4,1] {{1,7,8},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,8,1] {{1,8},{2,4},{3,6,7},{5}}=>[8,4,6,2,5,7,3,1] {{1,7,8},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,8,1] {{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2] {{1,4},{2,3,7},{5,8},{6}}=>[4,3,7,1,8,6,2,5] {{1,3},{2,6,7},{4,8},{5}}=>[3,6,1,8,5,7,2,4] {{1,7},{2,5,8},{3,4},{6}}=>[7,5,4,3,8,6,1,2] {{1,7},{2},{3,6},{4,5,8}}=>[7,2,6,5,8,3,1,4] {{1,5},{2},{3,7,8},{4,6}}=>[5,2,7,6,1,4,8,3] {{1,6},{2},{3,8},{4,5,7}}=>[6,2,8,5,7,1,4,3] {{1,2,6},{3},{4,8},{5,7}}=>[2,6,3,8,7,1,5,4] {{1,6,8},{2,3},{4,7},{5}}=>[6,3,2,7,5,8,4,1] {{1,4},{2,5,7},{3,8},{6}}=>[4,5,8,1,7,6,2,3] {{1,6},{2},{3,5,8},{4,7}}=>[6,2,5,7,8,1,4,3] {{1,6,8},{2,7},{3},{4,5}}=>[6,7,3,5,4,8,2,1] {{1,5},{2,6,8},{3,7},{4}}=>[5,6,7,4,1,8,3,2] {{1,5,7},{2},{3,6},{4,8}}=>[5,2,6,8,7,3,1,4] {{1,3,4,6},{2,8},{5},{7}}=>[3,8,4,6,5,1,7,2] {{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1] {{1,5},{2,4},{3,6,8},{7}}=>[5,4,6,2,1,8,7,3] {{1,6},{2,8},{3},{4,5,7}}=>[6,8,3,5,7,1,4,2] {{1,2},{3},{4,6,7},{5,8}}=>[2,1,3,6,8,7,4,5] {{1,3,5},{2},{4,8},{6,7}}=>[3,2,5,8,1,7,6,4] {{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7] {{1,2,8},{3,5},{4,6},{7}}=>[2,8,5,6,3,4,7,1] {{1,5,8},{2},{3,4,6},{7}}=>[5,2,4,6,8,3,7,1] {{1,7},{2},{3,4,6,8},{5}}=>[7,2,4,6,5,8,1,3] {{1,2,4,5},{3,6},{7},{8}}=>[2,4,6,5,1,3,7,8] {{1,2,5,6},{3},{4,7},{8}}=>[2,5,3,7,6,1,4,8] {{1,5},{2},{3,4,8},{6,7}}=>[5,2,4,8,1,7,6,3] {{1,4,5,7},{2},{3},{6,8}}=>[4,2,3,5,7,8,1,6] {{1,4,5},{2,7},{3,6},{8}}=>[4,7,6,5,1,3,2,8] {{1,4,6},{2,8},{3,5},{7}}=>[4,8,5,6,3,1,7,2] {{1,4,6},{2,5},{3,8},{7}}=>[4,5,8,6,2,1,7,3] {{1,3},{2,4,6},{5},{7,8}}=>[3,4,1,6,5,2,8,7] {{1,5},{2,3,6},{4,8},{7}}=>[5,3,6,8,1,2,7,4] {{1,6},{2,4,8},{3,5},{7}}=>[6,4,5,8,3,1,7,2] {{1,2,5},{3,4,7},{6},{8}}=>[2,5,4,7,1,6,3,8] {{1,3},{2,5,7},{4,6},{8}}=>[3,5,1,6,7,4,2,8] {{1,2,5},{3},{4,6},{7,8}}=>[2,5,3,6,1,4,8,7] {{1,7},{2,8},{3,5,6},{4}}=>[7,8,5,4,6,3,1,2] {{1,2},{3,5,6},{4,7},{8}}=>[2,1,5,7,6,3,4,8] {{1,2},{3,5},{4,6,7},{8}}=>[2,1,5,6,3,7,4,8] {{1,2,6},{3,4},{5,7},{8}}=>[2,6,4,3,7,1,5,8] {{1,2},{3,6},{4,5,7},{8}}=>[2,1,6,5,7,3,4,8] {{1,3,4},{2,6},{5},{7,8}}=>[3,6,4,1,5,2,8,7] {{1,6,7},{2,5},{3,8},{4}}=>[6,5,8,4,2,7,1,3] {{1,5,6,8},{2},{3},{4,7}}=>[5,2,3,7,6,8,4,1] {{1,5,8},{2},{3},{4,6,7}}=>[5,2,3,6,8,7,4,1] {{1,3,5},{2},{4,6},{7,8}}=>[3,2,5,6,1,4,8,7] {{1,4},{2},{3,5},{6,7,8}}=>[4,2,5,1,3,7,8,6] {{1,4,8},{2,3,5},{6},{7}}=>[4,3,5,8,2,6,7,1] {{1,3,4,5},{2,8},{6},{7}}=>[3,8,4,5,1,6,7,2] {{1,5,6},{2,4,8},{3},{7}}=>[5,4,3,8,6,1,7,2] {{1,5,6},{2,8},{3,4},{7}}=>[5,8,4,3,6,1,7,2] {{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3] {{1,5,6},{2},{3,7},{4,8}}=>[5,2,7,8,6,1,3,4] {{1,5,7},{2,6},{3},{4,8}}=>[5,6,3,8,7,2,1,4] {{1,7},{2,3},{4,6,8},{5}}=>[7,3,2,6,5,8,1,4] {{1,8},{2},{3,6},{4,5,7}}=>[8,2,6,5,7,3,4,1] {{1,4,7},{2,3},{5,8},{6}}=>[4,3,2,7,8,6,1,5] {{1,3,6},{2,4},{5,8},{7}}=>[3,4,6,2,8,1,7,5] {{1,4},{2,7},{3,5,6},{8}}=>[4,7,5,1,6,3,2,8] {{1,4},{2,3,6,7},{5},{8}}=>[4,3,6,1,5,7,2,8] {{1,5},{2,3,6},{4},{7,8}}=>[5,3,6,4,1,2,8,7] {{1,2,5},{3,6},{4},{7,8}}=>[2,5,6,4,1,3,8,7] {{1,5},{2,4},{3,6,7},{8}}=>[5,4,6,2,1,7,3,8] {{1,5,7},{2,3},{4,6},{8}}=>[5,3,2,6,7,4,1,8] {{1,6},{2,3,4},{5,7},{8}}=>[6,3,4,2,7,1,5,8] {{1,3,6},{2,4},{5,7},{8}}=>[3,4,6,2,7,1,5,8] {{1,2,6},{3},{4},{5,7,8}}=>[2,6,3,4,7,1,8,5] {{1,4,5},{2,6,8},{3},{7}}=>[4,6,3,5,1,8,7,2] {{1,3},{2,8},{4,5,6},{7}}=>[3,8,1,5,6,4,7,2] {{1,2,5},{3,7},{4,6},{8}}=>[2,5,7,6,1,4,3,8] {{1,2,5},{3,6},{4,8},{7}}=>[2,5,6,8,1,3,7,4] {{1,2,3,5},{4,8},{6},{7}}=>[2,3,5,8,1,6,7,4] {{1,2,4},{3,8},{5,6},{7}}=>[2,4,8,1,6,5,7,3] {{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3] {{1,4},{2,5,6},{3,8},{7}}=>[4,5,8,1,6,2,7,3] {{1,3,5},{2,6},{4,8},{7}}=>[3,6,5,8,1,2,7,4] {{1,2,5},{3,7},{4,8},{6}}=>[2,5,7,8,1,6,3,4] {{1,4,8},{2,5},{3},{6,7}}=>[4,5,3,8,2,7,6,1] {{1,5},{2,4,8},{3,6},{7}}=>[5,4,6,8,1,3,7,2] {{1,3,6},{2,5},{4,8},{7}}=>[3,5,6,8,2,1,7,4] {{1,4,8},{2,6},{3,5},{7}}=>[4,6,5,8,3,2,7,1] {{1,5,7},{2,4},{3},{6,8}}=>[5,4,3,2,7,8,1,6] {{1,6,8},{2},{3,4},{5,7}}=>[6,2,4,3,7,8,5,1] {{1,3,5},{2,7},{4},{6,8}}=>[3,7,5,4,1,8,2,6] {{1,3},{2,5,8},{4},{6,7}}=>[3,5,1,4,8,7,6,2] {{1},{2,6,7},{3,8},{4,5}}=>[1,6,8,5,4,7,2,3] {{1},{2,4,7},{3,5},{6,8}}=>[1,4,5,7,3,8,2,6] {{1},{2,7},{3,4,5},{6,8}}=>[1,7,4,5,3,8,2,6] {{1},{2,6,8},{3,4},{5,7}}=>[1,6,4,3,7,8,5,2] {{1,7},{2,3},{4},{5,6,8}}=>[7,3,2,4,6,8,1,5] {{1,3,7},{2},{4,8},{5,6}}=>[3,2,7,8,6,5,1,4] {{1,4},{2,7,8},{3},{5,6}}=>[4,7,3,1,6,5,8,2] {{1},{2,7,8},{3,5},{4,6}}=>[1,7,5,6,3,4,8,2] {{1},{2,7},{3,5,6},{4,8}}=>[1,7,5,8,6,3,2,4] {{1,7},{2},{3,6,8},{4,5}}=>[7,2,6,5,4,8,1,3] {{1,4},{2},{3,7,8},{5,6}}=>[4,2,7,1,6,5,8,3] {{1,8},{2,3,5},{4,6},{7}}=>[8,3,5,6,2,4,7,1] {{1,4,5},{2,6},{3,8},{7}}=>[4,6,8,5,1,2,7,3] {{1},{2,6,7},{3,5},{4,8}}=>[1,6,5,8,3,7,2,4] {{1},{2,8},{3,5,6},{4,7}}=>[1,8,5,7,6,3,4,2] {{1,7},{2,3,5},{4},{6,8}}=>[7,3,5,4,2,8,1,6] {{1,3},{2,6},{4,5,8},{7}}=>[3,6,1,5,8,2,7,4] {{1,4},{2,5,6},{3},{7,8}}=>[4,5,3,1,6,2,8,7] {{1,3,7},{2},{4,5},{6,8}}=>[3,2,7,5,4,8,1,6] {{1,3},{2,7,8},{4,5},{6}}=>[3,7,1,5,4,6,8,2] {{1,4},{2,6},{3,7,8},{5}}=>[4,6,7,1,5,2,8,3] {{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4] {{1,7},{2},{3,5,6,8},{4}}=>[7,2,5,4,6,8,1,3] {{1,2},{3,5},{4,7,8},{6}}=>[2,1,5,7,3,6,8,4] {{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1] {{1,3,6},{2},{4,7,8},{5}}=>[3,2,6,7,5,1,8,4] {{1,8},{2,5},{3,6,7},{4}}=>[8,5,6,4,2,7,3,1] {{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1] {{1,3,4},{2,5},{6},{7,8}}=>[3,5,4,1,2,6,8,7] {{1,4},{2,3,5},{6},{7,8}}=>[4,3,5,1,2,6,8,7] {{1,2,7},{3},{4,8},{5,6}}=>[2,7,3,8,6,5,1,4] {{1,4,8},{2,7},{3,6},{5}}=>[4,7,6,8,5,3,2,1] {{1,6},{2,3,5},{4,7},{8}}=>[6,3,5,7,2,1,4,8] {{1,4},{2,5,6},{3,7},{8}}=>[4,5,7,1,6,2,3,8] {{1,3,7},{2,4},{5,6},{8}}=>[3,4,7,2,6,5,1,8] {{1,3},{2,7},{4,5,6},{8}}=>[3,7,1,5,6,4,2,8] {{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1] {{1,2,3,7},{4},{5},{6,8}}=>[2,3,7,4,5,8,1,6] {{1,3},{2},{4,6,7},{5,8}}=>[3,2,1,6,8,7,4,5] {{1},{2,3,4},{5,7},{6,8}}=>[1,3,4,2,7,8,5,6] {{1,4},{2,6,7},{3,5},{8}}=>[4,6,5,1,3,7,2,8] {{1,5},{2,7},{3,4,6},{8}}=>[5,7,4,6,1,3,2,8] {{1,5},{2,3,7},{4,6},{8}}=>[5,3,7,6,1,4,2,8] {{1,3,4},{2,6},{5,7},{8}}=>[3,6,4,1,7,2,5,8] {{1,3},{2,6},{4,5,7},{8}}=>[3,6,1,5,7,2,4,8] {{1,3},{2,5,6},{4,7},{8}}=>[3,5,1,7,6,2,4,8] {{1,3},{2,5,6,8},{4},{7}}=>[3,5,1,4,6,8,7,2] {{1,3},{2,6,8},{4,5},{7}}=>[3,6,1,5,4,8,7,2] {{1,7},{2,5,6},{3,8},{4}}=>[7,5,8,4,6,2,1,3] {{1,6},{2,5},{3,7,8},{4}}=>[6,5,7,4,2,1,8,3] {{1,2},{3,6,7},{4},{5,8}}=>[2,1,6,4,8,7,3,5] {{1,2,3},{4,6},{5,8},{7}}=>[2,3,1,6,8,4,7,5] {{1,2},{3,6},{4,5,8},{7}}=>[2,1,6,5,8,3,7,4] {{1,3},{2,4,8},{5,6},{7}}=>[3,4,1,8,6,5,7,2] {{1,3,4},{2,5,8},{6},{7}}=>[3,5,4,1,8,6,7,2] {{1,3,6},{2,8},{4,5},{7}}=>[3,8,6,5,4,1,7,2] {{1,2,7},{3,4},{5,8},{6}}=>[2,7,4,3,8,6,1,5] {{1,6},{2,4},{3,5,8},{7}}=>[6,4,5,2,8,1,7,3] {{1,5},{2,4,6},{3,8},{7}}=>[5,4,8,6,1,2,7,3] {{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4] {{1,2,7},{3,6},{4},{5,8}}=>[2,7,6,4,8,3,1,5] {{1,4,8},{2,6},{3,7},{5}}=>[4,6,7,8,5,2,3,1] {{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4] {{1,5},{2,4,8},{3,7},{6}}=>[5,4,7,8,1,6,3,2] {{1,3,4},{2,8},{5,7},{6}}=>[3,8,4,1,7,6,5,2] {{1,4,8},{2,5,7},{3},{6}}=>[4,5,3,8,7,6,2,1] {{1,4,6},{2},{3,8},{5,7}}=>[4,2,8,6,7,1,5,3] {{1,6},{2},{3,7},{4,5,8}}=>[6,2,7,5,8,1,3,4] {{1,4,8},{2},{3,7},{5,6}}=>[4,2,7,8,6,5,3,1] {{1,3},{2,8},{4,6,7},{5}}=>[3,8,1,6,5,7,4,2] {{1,7},{2,4},{3,5,8},{6}}=>[7,4,5,2,8,6,1,3] {{1,3,8},{2,7},{4},{5,6}}=>[3,7,8,4,6,5,2,1] {{1,5,6},{2,7},{3},{4,8}}=>[5,7,3,8,6,1,2,4] {{1,6},{2,7,8},{3},{4,5}}=>[6,7,3,5,4,1,8,2] {{1,4,5},{2,7},{3,8},{6}}=>[4,7,8,5,1,6,2,3] {{1,5},{2,7},{3,4,8},{6}}=>[5,7,4,8,1,6,2,3] {{1,6,8},{2,7},{3,4},{5}}=>[6,7,4,3,5,8,2,1] {{1,6},{2,7,8},{3,4},{5}}=>[6,7,4,3,5,1,8,2] {{1,6,8},{2},{3,5},{4,7}}=>[6,2,5,7,3,8,4,1] {{1,7},{2},{3,5,8},{4,6}}=>[7,2,5,6,8,4,1,3] {{1,8},{2},{3,5},{4,6,7}}=>[8,2,5,6,3,7,4,1] {{1,6,7},{2},{3,4},{5,8}}=>[6,2,4,3,8,7,1,5] {{1,3,5},{2},{4,7,8},{6}}=>[3,2,5,7,1,6,8,4] {{1,6,7},{2,3},{4},{5,8}}=>[6,3,2,4,8,7,1,5] {{1},{2,4},{3,5,8},{6,7}}=>[1,4,5,2,8,7,6,3] {{1,4},{2},{3,5,8},{6,7}}=>[4,2,5,1,8,7,6,3] {{1,4},{2,8},{3,6,7},{5}}=>[4,8,6,1,5,7,3,2] {{1,7},{2},{3,8},{4,5,6}}=>[7,2,8,5,6,4,1,3] {{1,5,6},{2},{3,7,8},{4}}=>[5,2,7,4,6,1,8,3] {{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4] {{1,5},{2},{3,4,6},{7,8}}=>[5,2,4,6,1,3,8,7] {{1,4,5},{2},{3,6},{7,8}}=>[4,2,6,5,1,3,8,7] {{1,3},{2,5},{4},{6,7,8}}=>[3,5,1,4,2,7,8,6] {{1,2,6},{3,8},{4,7},{5}}=>[2,6,8,7,5,1,4,3] {{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2] {{1,3,4,7},{2},{5},{6,8}}=>[3,2,4,7,5,8,1,6] {{1,2,3,4,5,6,7,8},{9}}=>[2,3,4,5,6,7,8,1,9] {{1},{2,3,4,5,6,7,8,9}}=>[1,3,4,5,6,7,8,9,2] {{1,2,3,4,5,6,8},{7},{9}}=>[2,3,4,5,6,8,7,1,9] {{1},{2,3,4,5,6,7,9},{8}}=>[1,3,4,5,6,7,9,8,2] {{1,2,3,4,5,8},{6,7},{9}}=>[2,3,4,5,8,7,6,1,9] {{1,2,3,4,5,7,8},{6},{9}}=>[2,3,4,5,7,6,8,1,9] {{1},{2,3,4,5,6,9},{7,8}}=>[1,3,4,5,6,9,8,7,2] {{1},{2,3,4,5,6,8,9},{7}}=>[1,3,4,5,6,8,7,9,2] {{1},{2,9},{3,8},{4,7},{5,6}}=>[1,9,8,7,6,5,4,3,2] {{1,8},{2,7},{3,6},{4,5},{9}}=>[8,7,6,5,4,3,2,1,9] {{1},{2,9},{3,8},{4,7},{5},{6}}=>[1,9,8,7,5,6,4,3,2] {{1,8},{2,7},{3,6},{4},{5},{9}}=>[8,7,6,4,5,3,2,1,9] {{1},{2,9},{3,8},{4,5,7},{6}}=>[1,9,8,5,7,6,4,3,2] {{1},{2,9},{3,8},{4,6,7},{5}}=>[1,9,8,6,5,7,4,3,2] {{1,8},{2,7},{3,4,6},{5},{9}}=>[8,7,4,6,5,3,2,1,9] {{1,8},{2,7},{3,5,6},{4},{9}}=>[8,7,5,4,6,3,2,1,9] {{1,2,3,4,5,6,7,8,9}}=>[2,3,4,5,6,7,8,9,1] {{1,2,3,4,5,6,7},{8},{9}}=>[2,3,4,5,6,7,1,8,9] {{1,3,4,5,6,7,8,9},{2}}=>[3,2,4,5,6,7,8,9,1] {{1,4,5,6,7,8,9},{2},{3}}=>[4,2,3,5,6,7,8,9,1] {{1},{2,3,8,9},{4,7},{5,6}}=>[1,3,8,7,6,5,4,9,2] {{1,2,7,8},{3,6},{4,5},{9}}=>[2,7,6,5,4,3,8,1,9] {{1},{2,3,4,7,8,9},{5,6}}=>[1,3,4,7,6,5,8,9,2] {{1,2,3,6,7,8},{4,5},{9}}=>[2,3,6,5,4,7,8,1,9] {{1},{2,4,6,8},{3,5,7,9}}=>[1,4,5,6,7,8,9,2,3] {{1,3,5,7},{2,4,6,8},{9}}=>[3,4,5,6,7,8,1,2,9] {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,3,4,5,6,7,8,9] {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[1,2,3,4,5,6,7,9,8] {{1,2},{3,4,5,6,7,8,9}}=>[2,1,4,5,6,7,8,9,3] {{1,2,3,4,5,6,7},{8,9}}=>[2,3,4,5,6,7,1,9,8] {{1},{2},{3},{4},{5},{6},{7,9},{8}}=>[1,2,3,4,5,6,9,8,7] {{1,2},{3},{4},{5},{6},{7},{8,9}}=>[2,1,3,4,5,6,7,9,8] {{1,2},{3},{4},{5},{6},{7,9},{8}}=>[2,1,3,4,5,6,9,8,7] {{1},{2,3},{4},{5},{6},{7},{8,9}}=>[1,3,2,4,5,6,7,9,8] {{1,3},{2},{4},{5},{6},{7},{8,9}}=>[3,2,1,4,5,6,7,9,8] {{1},{2,3},{4},{5},{6},{7,9},{8}}=>[1,3,2,4,5,6,9,8,7] {{1,3},{2},{4},{5},{6},{7,9},{8}}=>[3,2,1,4,5,6,9,8,7] {{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,1] {{1,2,3},{4},{5},{6},{7},{8},{9}}=>[2,3,1,4,5,6,7,8,9] {{1,9},{2,3},{4},{5},{6},{7},{8}}=>[9,3,2,4,5,6,7,8,1] {{1},{2,3,4},{5},{6},{7},{8},{9}}=>[1,3,4,2,5,6,7,8,9] {{1,3,4},{2},{5},{6},{7},{8},{9}}=>[3,2,4,1,5,6,7,8,9] {{1,9},{2},{3,4},{5},{6},{7},{8}}=>[9,2,4,3,5,6,7,8,1] {{1,9},{2,4},{3},{5},{6},{7},{8}}=>[9,4,3,2,5,6,7,8,1] {{1},{2},{3,4,5,6,7,8,9}}=>[1,2,4,5,6,7,8,9,3] {{1},{2,3,4,5,6,7,8},{9}}=>[1,3,4,5,6,7,8,2,9] {{1},{2,3},{4,5,6,7,8,9}}=>[1,3,2,5,6,7,8,9,4] {{1,2},{3,4,5,6,7,8},{9}}=>[2,1,4,5,6,7,8,3,9] {{1,8,9},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,9,1] {{1,7,9},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,9,8,1] {{1,9},{2},{3},{4},{5},{6},{7,8}}=>[9,2,3,4,5,6,8,7,1] {{1,2},{3},{4},{5},{6},{7,8},{9}}=>[2,1,3,4,5,6,8,7,9] {{1},{2},{3,4,5,6,7,8},{9}}=>[1,2,4,5,6,7,8,3,9] {{1},{2,3,4,5,6,7},{8},{9}}=>[1,3,4,5,6,7,2,8,9] {{1},{2},{3,4,5,6,8},{7},{9}}=>[1,2,4,5,6,8,7,3,9] {{1},{2,3,4,5,7},{6},{8},{9}}=>[1,3,4,5,7,6,2,8,9] {{1},{2},{3,4,5,7,8},{6},{9}}=>[1,2,4,5,7,6,8,3,9] {{1},{2},{3,4,5,8},{6,7},{9}}=>[1,2,4,5,8,7,6,3,9] {{1},{2,3,4,6,7},{5},{8},{9}}=>[1,3,4,6,5,7,2,8,9] {{1},{2,3,4,7},{5,6},{8},{9}}=>[1,3,4,7,6,5,2,8,9] {{1,9},{2,3,4,5,6,7,8}}=>[9,3,4,5,6,7,8,2,1] {{1,9},{2,3,4,5,6,8},{7}}=>[9,3,4,5,6,8,7,2,1] {{1},{2},{3},{4},{5},{6,7},{8,9}}=>[1,2,3,4,5,7,6,9,8] {{1},{2},{3},{4},{5},{6,9},{7,8}}=>[1,2,3,4,5,9,8,7,6] {{1,9},{2,3,4,5,7,8},{6}}=>[9,3,4,5,7,6,8,2,1] {{1,9},{2,3,4,5,8},{6,7}}=>[9,3,4,5,8,7,6,2,1] {{1,8},{2,3},{4},{5},{6},{7},{9}}=>[8,3,2,4,5,6,7,1,9] {{1,2},{3,9},{4},{5},{6},{7},{8}}=>[2,1,9,4,5,6,7,8,3] {{1,7},{2},{3},{4},{5},{6},{8,9}}=>[7,2,3,4,5,6,1,9,8] {{1},{2,8,9},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,9,2] {{1,2,3,4,5,6,7,9},{8}}=>[2,3,4,5,6,7,9,8,1] {{1,2,3,4,5,6,9},{7,8}}=>[2,3,4,5,6,9,8,7,1] {{1,3,4,5,6,7,9},{2},{8}}=>[3,2,4,5,6,7,9,8,1] {{1,3,4,5,6,9},{2},{7,8}}=>[3,2,4,5,6,9,8,7,1] {{1,2,9},{3},{4},{5},{6},{7},{8}}=>[2,9,3,4,5,6,7,8,1] {{1,8},{2},{3},{4},{5},{6},{7},{9}}=>[8,2,3,4,5,6,7,1,9] {{1,2,8},{3},{4},{5},{6},{7},{9}}=>[2,8,3,4,5,6,7,1,9] {{1,7},{2},{3},{4},{5},{6},{8},{9}}=>[7,2,3,4,5,6,1,8,9] {{1,2,7},{3},{4},{5},{6},{8},{9}}=>[2,7,3,4,5,6,1,8,9] {{1,9},{2,8},{3},{4},{5},{6},{7}}=>[9,8,3,4,5,6,7,2,1] {{1},{2,3,4,5,6,7},{8,9}}=>[1,3,4,5,6,7,2,9,8] {{1,2,9},{3,4,5,6,7,8}}=>[2,9,4,5,6,7,8,3,1] {{1,2,4,5,6,7,8,9},{3}}=>[2,4,3,5,6,7,8,9,1] {{1,2,3,4,5,7,9},{6},{8}}=>[2,3,4,5,7,6,9,8,1] {{1,2,3,4,6,7,9},{5},{8}}=>[2,3,4,6,5,7,9,8,1] {{1,2,3,4,5,9},{6},{7,8}}=>[2,3,4,5,9,6,8,7,1] {{1,2,3,4,6,7,8},{5},{9}}=>[2,3,4,6,5,7,8,1,9] {{1,2,3,4,7,8},{5,6},{9}}=>[2,3,4,7,6,5,8,1,9] {{1,2},{3,4,5,6,7,9},{8}}=>[2,1,4,5,6,7,9,8,3] {{1,2},{3,4,5,6,8,9},{7}}=>[2,1,4,5,6,8,7,9,3] {{1,2},{3,4,5,6,9},{7,8}}=>[2,1,4,5,6,9,8,7,3] {{1,2,3,4,5,6,8,9},{7}}=>[2,3,4,5,6,8,7,9,1] {{1,2,3,4,5,7},{6},{8,9}}=>[2,3,4,5,7,6,1,9,8] {{1,2,3,4,6,7},{5},{8,9}}=>[2,3,4,6,5,7,1,9,8] {{1,2,3,4,7},{5,6},{8,9}}=>[2,3,4,7,6,5,1,9,8] {{1,3,4,5,6,7,8},{2},{9}}=>[3,2,4,5,6,7,8,1,9] {{1,3,4,5,6,7},{2},{8,9}}=>[3,2,4,5,6,7,1,9,8] {{1},{2,4,5,6,7,8,9},{3}}=>[1,4,3,5,6,7,8,9,2] {{1,2,4,5,6,7,8},{3},{9}}=>[2,4,3,5,6,7,8,1,9] {{1,4,5,6,7,8},{2,3},{9}}=>[4,3,2,5,6,7,8,1,9] {{1},{2,3,5,6,7,8,9},{4}}=>[1,3,5,4,6,7,8,9,2] {{1},{2,5,6,7,8,9},{3,4}}=>[1,5,4,3,6,7,8,9,2] {{1},{2,3,4,5,6,8},{7,9}}=>[1,3,4,5,6,8,9,2,7] {{1,2,3,4,5,7},{6,8},{9}}=>[2,3,4,5,7,8,1,6,9] {{1,3,4,5,6,7},{2,9},{8}}=>[3,9,4,5,6,7,1,8,2] {{1,2,3,4,5,6},{7,8},{9}}=>[2,3,4,5,6,1,8,7,9] {{1,3,4,5,6,9},{2,8},{7}}=>[3,8,4,5,6,9,7,2,1] {{1,3,4,5,6,8},{2,9},{7}}=>[3,9,4,5,6,8,7,1,2] {{1,3,5,7,9},{2,4,6,8}}=>[3,4,5,6,7,8,9,2,1] {{1,3,5,7,9},{2,4,6},{8}}=>[3,4,5,6,7,2,9,8,1] {{1,3,5},{2,4,6,8},{7,9}}=>[3,4,5,6,1,8,9,2,7] {{1,3,5,8},{2,4,6},{7,9}}=>[3,4,5,6,8,2,9,1,7] {{1,2,3,4,5},{6,7,8},{9}}=>[2,3,4,5,1,7,8,6,9] {{1,2,3,4,7,9},{5,6},{8}}=>[2,3,4,7,6,5,9,8,1] {{1,9},{2,8},{3,7},{4,6},{5}}=>[9,8,7,6,5,4,3,2,1] {{1,2,8,9},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,9,1] {{1,2,8,9},{3,4,6,7},{5}}=>[2,8,4,6,5,7,3,9,1] {{1,3,7,9},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,9,2,1] {{1,2,8,9},{3,4,5,6,7}}=>[2,8,4,5,6,7,3,9,1] {{1,3,7,9},{2,8},{4,5,6}}=>[3,8,7,5,6,4,9,2,1] {{1,4,6,9},{2,3,7,8},{5}}=>[4,3,7,6,5,9,8,2,1] {{1,3,4,5,6,7,9},{2,8}}=>[3,8,4,5,6,7,9,2,1] {{1,3,7,9},{2,8},{4},{5},{6}}=>[3,8,7,4,5,6,9,2,1] {{1,4,5,6,9},{2,3,7,8}}=>[4,3,7,5,6,9,8,2,1] {{1,5,9},{2,4,6,8},{3,7}}=>[5,4,7,6,9,8,3,2,1] {{1,2,3,7,8,9},{4},{5},{6}}=>[2,3,7,4,5,6,8,9,1] {{1,4,5,6,9},{2,7},{3,8}}=>[4,7,8,5,6,9,2,3,1] {{1,4,6,9},{2,3,5,7,8}}=>[4,3,5,6,7,9,8,2,1] {{1,5,9},{2,3,4,6,7,8}}=>[5,3,4,6,9,7,8,2,1] {{1,3,4,6,7,9},{2,5,8}}=>[3,5,4,6,8,7,9,2,1] {{1,7},{2,8},{3,9},{4},{5},{6}}=>[7,8,9,4,5,6,1,2,3] {{1,5,9},{2,6},{3,7},{4,8}}=>[5,6,7,8,9,2,3,4,1] {{1,4,7},{2,5,8},{3,6,9}}=>[4,5,6,7,8,9,1,2,3] {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,2,3,4,5,6,7,8,9] {{1,8},{2,6},{3,5},{4},{7,9}}=>[8,6,5,4,3,2,9,1,7] {{1,7},{2,6},{3,5},{4},{8},{9}}=>[7,6,5,4,3,2,1,8,9] {{1,8},{2,6},{3,4},{5,9},{7}}=>[8,6,4,3,9,2,7,1,5] {{1,7},{2,5},{3,4},{6,8},{9}}=>[7,5,4,3,2,8,1,6,9] {{1,6},{2,5},{3,4},{7},{8},{9}}=>[6,5,4,3,2,1,7,8,9] {{1,8},{2,6},{3,9},{4},{5,7}}=>[8,6,9,4,7,2,5,1,3] {{1,7},{2,5},{3},{4,8},{6},{9}}=>[7,5,3,8,2,6,1,4,9] {{1,7},{2,4},{3},{5,8},{6,9}}=>[7,4,3,2,8,9,1,5,6] {{1,6},{2,4},{3},{5,7},{8},{9}}=>[6,4,3,2,7,1,5,8,9] {{1,5},{2,4},{3},{6},{7},{8},{9}}=>[5,4,3,2,1,6,7,8,9] {{1,7},{2,8},{3,5},{4,6},{9}}=>[7,8,5,6,3,4,1,2,9] {{1,7},{2,4},{3,8},{5},{6,9}}=>[7,4,8,2,5,9,1,3,6] {{1,6},{2,4},{3,7},{5},{8},{9}}=>[6,4,7,2,5,1,3,8,9] {{1,6},{2,3},{4,7},{5,8},{9}}=>[6,3,2,7,8,1,4,5,9] {{1,5},{2,3},{4,6},{7},{8},{9}}=>[5,3,2,6,1,4,7,8,9] {{1,4},{2,3},{5},{6},{7},{8},{9}}=>[4,3,2,1,5,6,7,8,9] {{1,6},{2,7},{3},{4},{5,8},{9}}=>[6,7,3,4,8,1,2,5,9] {{1,5},{2,6},{3},{4},{7},{8},{9}}=>[5,6,3,4,1,2,7,8,9] {{1,6},{2},{3,7},{4,8},{5,9}}=>[6,2,7,8,9,1,3,4,5] {{1,5},{2},{3,6},{4,7},{8},{9}}=>[5,2,6,7,1,3,4,8,9] {{1,4},{2},{3,5},{6},{7},{8},{9}}=>[4,2,5,1,3,6,7,8,9] {{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[3,2,1,4,5,6,7,8,9] {{1,5},{2,6},{3,7},{4,8},{9}}=>[5,6,7,8,1,2,3,4,9] {{1,4},{2,5},{3,6},{7},{8},{9}}=>[4,5,6,1,2,3,7,8,9] {{1,3},{2,4},{5},{6},{7},{8},{9}}=>[3,4,1,2,5,6,7,8,9] {{1,9},{2,3,4,6,7,8},{5}}=>[9,3,4,6,5,7,8,2,1] {{1,3,4,5,6,8,9},{2},{7}}=>[3,2,4,5,6,8,7,9,1] {{1,3,4,5,6,9},{2},{7},{8}}=>[3,2,4,5,6,9,7,8,1] {{1,9},{2,3,4,5,8},{6},{7}}=>[9,3,4,5,8,6,7,2,1] {{1,3,4,5,9},{2},{6,7,8}}=>[3,2,4,5,9,7,8,6,1] {{1,3,4,5,7,8,9},{2},{6}}=>[3,2,4,5,7,6,8,9,1] {{1,9},{2,3,4,8},{5,6,7}}=>[9,3,4,8,6,7,5,2,1] {{1,2},{3,4},{5,6},{7,8},{9,10}}=>[2,1,4,3,6,5,8,7,10,9] {{1,3},{2,4},{5,6},{7,8},{9,10}}=>[3,4,1,2,6,5,8,7,10,9] {{1,4},{2,3},{5,6},{7,8},{9,10}}=>[4,3,2,1,6,5,8,7,10,9] {{1,6},{2,3},{4,5},{7,8},{9,10}}=>[6,3,2,5,4,1,8,7,10,9] {{1,8},{2,3},{4,5},{6,7},{9,10}}=>[8,3,2,5,4,7,6,1,10,9] {{1,10},{2,3},{4,5},{6,7},{8,9}}=>[10,3,2,5,4,7,6,9,8,1] {{1,4},{2,5},{3,6},{7,8},{9,10}}=>[4,5,6,1,2,3,8,7,10,9] {{1,3},{2,5},{4,6},{7,8},{9,10}}=>[3,5,1,6,2,4,8,7,10,9] {{1,2},{3,5},{4,6},{7,8},{9,10}}=>[2,1,5,6,3,4,8,7,10,9] {{1,2},{3,6},{4,5},{7,8},{9,10}}=>[2,1,6,5,4,3,8,7,10,9] {{1,6},{2,5},{3,4},{7,8},{9,10}}=>[6,5,4,3,2,1,8,7,10,9] {{1,8},{2,5},{3,4},{6,7},{9,10}}=>[8,5,4,3,2,7,6,1,10,9] {{1,10},{2,5},{3,4},{6,7},{8,9}}=>[10,5,4,3,2,7,6,9,8,1] {{1,2},{3,8},{4,5},{6,7},{9,10}}=>[2,1,8,5,4,7,6,3,10,9] {{1,8},{2,7},{3,4},{5,6},{9,10}}=>[8,7,4,3,6,5,2,1,10,9] {{1,10},{2,7},{3,4},{5,6},{8,9}}=>[10,7,4,3,6,5,2,9,8,1] {{1,2},{3,10},{4,5},{6,7},{8,9}}=>[2,1,10,5,4,7,6,9,8,3] {{1,10},{2,9},{3,4},{5,6},{7,8}}=>[10,9,4,3,6,5,8,7,2,1] {{1,8},{2,9},{3,5},{4,6},{7,10}}=>[8,9,5,6,3,4,10,1,2,7] {{1,5},{2,6},{3,7},{4,8},{9,10}}=>[5,6,7,8,1,2,3,4,10,9] {{1,4},{2,6},{3,7},{5,8},{9,10}}=>[4,6,7,1,8,2,3,5,10,9] {{1,3},{2,6},{4,7},{5,8},{9,10}}=>[3,6,1,7,8,2,4,5,10,9] {{1,2},{3,6},{4,7},{5,8},{9,10}}=>[2,1,6,7,8,3,4,5,10,9] {{1,2},{3,5},{4,7},{6,8},{9,10}}=>[2,1,5,7,3,8,4,6,10,9] {{1,3},{2,5},{4,7},{6,8},{9,10}}=>[3,5,1,7,2,8,4,6,10,9] {{1,4},{2,5},{3,7},{6,8},{9,10}}=>[4,5,7,1,2,8,3,6,10,9] {{1,3},{2,4},{5,7},{6,8},{9,10}}=>[3,4,1,2,7,8,5,6,10,9] {{1,2},{3,4},{5,7},{6,8},{9,10}}=>[2,1,4,3,7,8,5,6,10,9] {{1,2},{3,4},{5,8},{6,7},{9,10}}=>[2,1,4,3,8,7,6,5,10,9] {{1,4},{2,3},{5,8},{6,7},{9,10}}=>[4,3,2,1,8,7,6,5,10,9] {{1,8},{2,3},{4,7},{5,6},{9,10}}=>[8,3,2,7,6,5,4,1,10,9] {{1,10},{2,3},{4,7},{5,6},{8,9}}=>[10,3,2,7,6,5,4,9,8,1] {{1,2},{3,8},{4,7},{5,6},{9,10}}=>[2,1,8,7,6,5,4,3,10,9] {{1,8},{2,7},{3,6},{4,5},{9,10}}=>[8,7,6,5,4,3,2,1,10,9] {{1,9},{2,7},{3,6},{4,5},{8,10}}=>[9,7,6,5,4,3,2,10,1,8] {{1,10},{2,7},{3,6},{4,5},{8,9}}=>[10,7,6,5,4,3,2,9,8,1] {{1,2},{3,10},{4,7},{5,6},{8,9}}=>[2,1,10,7,6,5,4,9,8,3] {{1,10},{2,9},{3,6},{4,5},{7,8}}=>[10,9,6,5,4,3,8,7,2,1] {{1,2},{3,4},{5,10},{6,7},{8,9}}=>[2,1,4,3,10,7,6,9,8,5] {{1,4},{2,3},{5,10},{6,7},{8,9}}=>[4,3,2,1,10,7,6,9,8,5] {{1,10},{2,3},{4,9},{5,6},{7,8}}=>[10,3,2,9,6,5,8,7,4,1] {{1,2},{3,10},{4,9},{5,6},{7,8}}=>[2,1,10,9,6,5,8,7,4,3] {{1,10},{2,9},{3,8},{4,5},{6,7}}=>[10,9,8,5,4,7,6,3,2,1] {{1,2},{3,7},{4,8},{5,9},{6,10}}=>[2,1,7,8,9,10,3,4,5,6] {{1,3},{2,7},{4,8},{5,9},{6,10}}=>[3,7,1,8,9,10,2,4,5,6] {{1,4},{2,7},{3,8},{5,9},{6,10}}=>[4,7,8,1,9,10,2,3,5,6] {{1,5},{2,7},{3,8},{4,9},{6,10}}=>[5,7,8,9,1,10,2,3,4,6] {{1,6},{2,7},{3,8},{4,9},{5,10}}=>[6,7,8,9,10,1,2,3,4,5] {{1,5},{2,6},{3,8},{4,9},{7,10}}=>[5,6,8,9,1,2,10,3,4,7] {{1,4},{2,6},{3,8},{5,9},{7,10}}=>[4,6,8,1,9,2,10,3,5,7] {{1,3},{2,6},{4,8},{5,9},{7,10}}=>[3,6,1,8,9,2,10,4,5,7] {{1,2},{3,6},{4,8},{5,9},{7,10}}=>[2,1,6,8,9,3,10,4,5,7] {{1,2},{3,5},{4,8},{6,9},{7,10}}=>[2,1,5,8,3,9,10,4,6,7] {{1,3},{2,5},{4,8},{6,9},{7,10}}=>[3,5,1,8,2,9,10,4,6,7] {{1,4},{2,5},{3,8},{6,9},{7,10}}=>[4,5,8,1,2,9,10,3,6,7] {{1,7},{2,3},{4,8},{5,9},{6,10}}=>[7,3,2,8,9,10,1,4,5,6] {{1,3},{2,4},{5,8},{6,9},{7,10}}=>[3,4,1,2,8,9,10,5,6,7] {{1,2},{3,4},{5,8},{6,9},{7,10}}=>[2,1,4,3,8,9,10,5,6,7] {{1,2},{3,4},{5,7},{6,9},{8,10}}=>[2,1,4,3,7,9,5,10,6,8] {{1,3},{2,4},{5,7},{6,9},{8,10}}=>[3,4,1,2,7,9,5,10,6,8] {{1,4},{2,5},{3,7},{6,9},{8,10}}=>[4,5,7,1,2,9,3,10,6,8] {{1,3},{2,5},{4,7},{6,9},{8,10}}=>[3,5,1,7,2,9,4,10,6,8] {{1,2},{3,5},{4,7},{6,9},{8,10}}=>[2,1,5,7,3,9,4,10,6,8] {{1,2},{3,6},{4,7},{5,9},{8,10}}=>[2,1,6,7,9,3,4,10,5,8] {{1,3},{2,6},{4,7},{5,9},{8,10}}=>[3,6,1,7,9,2,4,10,5,8] {{1,4},{2,6},{3,7},{5,9},{8,10}}=>[4,6,7,1,9,2,3,10,5,8] {{1,5},{2,6},{3,7},{4,9},{8,10}}=>[5,6,7,9,1,2,3,10,4,8] {{1,8},{2,5},{3,4},{6,9},{7,10}}=>[8,5,4,3,2,9,10,1,6,7] {{1,2},{3,5},{4,6},{7,9},{8,10}}=>[2,1,5,6,3,4,9,10,7,8] {{1,3},{2,5},{4,6},{7,9},{8,10}}=>[3,5,1,6,2,4,9,10,7,8] {{1,4},{2,5},{3,6},{7,9},{8,10}}=>[4,5,6,1,2,3,9,10,7,8] {{1,3},{2,4},{5,6},{7,9},{8,10}}=>[3,4,1,2,6,5,9,10,7,8] {{1,2},{3,4},{5,6},{7,9},{8,10}}=>[2,1,4,3,6,5,9,10,7,8] {{1,2},{3,4},{5,6},{7,10},{8,9}}=>[2,1,4,3,6,5,10,9,8,7] {{1,4},{2,3},{5,6},{7,10},{8,9}}=>[4,3,2,1,6,5,10,9,8,7] {{1,6},{2,3},{4,5},{7,10},{8,9}}=>[6,3,2,5,4,1,10,9,8,7] {{1,10},{2,3},{4,5},{6,9},{7,8}}=>[10,3,2,5,4,9,8,7,6,1] {{1,2},{3,6},{4,5},{7,10},{8,9}}=>[2,1,6,5,4,3,10,9,8,7] {{1,6},{2,5},{3,4},{7,10},{8,9}}=>[6,5,4,3,2,1,10,9,8,7] {{1,10},{2,5},{3,4},{6,9},{7,8}}=>[10,5,4,3,2,9,8,7,6,1] {{1,2},{3,10},{4,5},{6,9},{7,8}}=>[2,1,10,5,4,9,8,7,6,3] {{1,10},{2,9},{3,4},{5,8},{6,7}}=>[10,9,4,3,8,7,6,5,2,1] {{1,9},{2,7},{3,5},{4,10},{6,8}}=>[9,7,5,10,3,8,2,6,1,4] {{1,2},{3,4},{5,10},{6,9},{7,8}}=>[2,1,4,3,10,9,8,7,6,5] {{1,4},{2,3},{5,10},{6,9},{7,8}}=>[4,3,2,1,10,9,8,7,6,5] {{1,10},{2,3},{4,9},{5,8},{6,7}}=>[10,3,2,9,8,7,6,5,4,1] {{1,2},{3,10},{4,9},{5,8},{6,7}}=>[2,1,10,9,8,7,6,5,4,3] {{1,10},{2,9},{3,8},{4,7},{5,6}}=>[10,9,8,7,6,5,4,3,2,1] {{1,2,3,4,5,6,7,8,9,10}}=>[2,3,4,5,6,7,8,9,10,1] {{1,2,3,4,6,7,9},{5,8,10}}=>[2,3,4,6,8,7,9,10,1,5] {{1,2,4,5,6,8,9,10},{3,7}}=>[2,4,7,5,6,8,3,9,10,1] {{1,2,4,6,9},{3,7},{5,8,10}}=>[2,4,7,6,8,9,3,10,1,5] {{1,2,4,6,9},{3,5,7,8,10}}=>[2,4,5,6,7,9,8,10,1,3] {{1,2,3,5,6,7,9,10},{4,8}}=>[2,3,5,8,6,7,9,4,10,1] {{1,2,5,6,9,10},{3,7},{4,8}}=>[2,5,7,8,6,9,3,4,10,1] {{1,2,6},{3,7},{4,8},{5,9,10}}=>[2,6,7,8,9,1,3,4,10,5] {{1,2,6},{3,7},{4,5,8,9,10}}=>[2,6,7,5,8,1,3,9,10,4] {{1,2,6},{3,4,5,7,8,9,10}}=>[2,6,4,5,7,1,8,9,10,3] {{1,3,6},{2,4,5,7,8,9,10}}=>[3,4,6,5,7,1,8,9,10,2] {{1,3,6},{2,4,7,9},{5,8,10}}=>[3,4,6,7,8,1,9,10,2,5] {{1,3,6},{2,5,7,9,10},{4,8}}=>[3,5,6,8,7,1,9,4,10,2] {{1,3,4,6,8,9},{2,5,7,10}}=>[3,5,4,6,7,8,10,9,1,2] {{1,2,3,6,7},{4,8},{5,9,10}}=>[2,3,6,8,9,7,1,4,10,5] {{1,2,3,6,7},{4,5,8,9,10}}=>[2,3,6,5,8,7,1,9,10,4] {{1,3,4,5,6,8,9,10},{2,7}}=>[3,7,4,5,6,8,2,9,10,1] {{1,3,4,6,8},{2,5,7,9,10}}=>[3,5,4,6,7,8,9,1,10,2] {{1,4,6,9},{2,3,5,7,8,10}}=>[4,3,5,6,7,9,8,10,1,2] {{1,4,6,9},{2,5,7,10},{3,8}}=>[4,5,8,6,7,9,10,3,1,2] {{1,2,3,4,6,7,8},{5,9,10}}=>[2,3,4,6,9,7,8,1,10,5] {{1,2,4,5,6,7,9,10},{3,8}}=>[2,4,8,5,6,7,9,3,10,1] {{1,4,5,6,9,10},{2,7},{3,8}}=>[4,7,8,5,6,9,2,3,10,1] {{1,2,3,5,6,7,8,10},{4,9}}=>[2,3,5,9,6,7,8,10,4,1] {{1,2,5,6,7,10},{3,8},{4,9}}=>[2,5,8,9,6,7,10,3,4,1] {{1,5,6,10},{2,7},{3,8},{4,9}}=>[5,7,8,9,6,10,2,3,4,1] {{1,2,4,6,8,10},{3},{5},{7},{9}}=>[2,4,3,6,5,8,7,10,9,1] {{1,2,4,6,9},{3,10},{5},{7},{8}}=>[2,4,10,6,5,9,7,8,1,3] {{1,2,4,7,10},{3,8},{5},{6},{9}}=>[2,4,8,7,5,6,10,3,9,1] {{1,2,4,7,9},{3},{5,10},{6},{8}}=>[2,4,3,7,10,6,9,8,1,5] {{1,2,4,8},{3,9},{5,10},{6},{7}}=>[2,4,9,8,10,6,7,1,3,5] {{1,2,5,8,10},{3,6},{4},{7},{9}}=>[2,5,6,4,8,3,7,10,9,1] {{1,2,5,9},{3,6,10},{4},{7},{8}}=>[2,5,6,4,9,10,7,8,1,3] {{1,2,5,7,10},{3},{4,8},{6},{9}}=>[2,5,3,8,7,6,10,4,9,1] {{1,2,5,7,9},{3},{4},{6,10},{8}}=>[2,5,3,4,7,10,9,8,1,6] {{1,2,5,8},{3,9},{4},{6,10},{7}}=>[2,5,9,4,8,10,7,1,3,6] {{1,2,6,10},{3,7},{4,8},{5},{9}}=>[2,6,7,8,5,10,3,4,9,1] {{1,2,6,9},{3,7},{4},{5,10},{8}}=>[2,6,7,4,10,9,3,8,1,5] {{1,2,6,8},{3},{4,9},{5,10},{7}}=>[2,6,3,9,10,8,7,1,4,5] {{1,2,7},{3,8},{4,9},{5,10},{6}}=>[2,7,8,9,10,6,1,3,4,5] {{1,3,6,8,10},{2,4},{5},{7},{9}}=>[3,4,6,2,5,8,7,10,9,1] {{1,3,6,9},{2,4,10},{5},{7},{8}}=>[3,4,6,10,5,9,7,8,1,2] {{1,3,7,10},{2,4,8},{5},{6},{9}}=>[3,4,7,8,5,6,10,2,9,1] {{1,3,7,9},{2,4},{5,10},{6},{8}}=>[3,4,7,2,10,6,9,8,1,5] {{1,3,8},{2,4,9},{5,10},{6},{7}}=>[3,4,8,9,10,6,7,1,2,5] {{1,3,5,8,10},{2},{4,6},{7},{9}}=>[3,2,5,6,8,4,7,10,9,1] {{1,3,5,9},{2,10},{4,6},{7},{8}}=>[3,10,5,6,9,4,7,8,1,2] {{1,3,5,7,10},{2},{4},{6,8},{9}}=>[3,2,5,4,7,8,10,6,9,1] {{1,3,5,7,9},{2},{4},{6},{8,10}}=>[3,2,5,4,7,6,9,10,1,8] {{1,3,5,8},{2,9},{4},{6},{7,10}}=>[3,9,5,4,8,6,10,1,2,7] {{1,3,6,10},{2,7},{4},{5,8},{9}}=>[3,7,6,4,8,10,2,5,9,1] {{1,3,6,9},{2,7},{4},{5},{8,10}}=>[3,7,6,4,5,9,2,10,1,8] {{1,3,6,8},{2},{4,9},{5},{7,10}}=>[3,2,6,9,5,8,10,1,4,7] {{1,3,7},{2,8},{4,9},{5},{6,10}}=>[3,8,7,9,5,10,1,2,4,6] {{1,4,8,10},{2,5},{3,6},{7},{9}}=>[4,5,6,8,2,3,7,10,9,1] {{1,4,9},{2,5,10},{3,6},{7},{8}}=>[4,5,6,9,10,3,7,8,1,2] {{1,4,7,10},{2,5},{3},{6,8},{9}}=>[4,5,3,7,2,8,10,6,9,1] {{1,4,7,9},{2,5},{3},{6},{8,10}}=>[4,5,3,7,2,6,9,10,1,8] {{1,4,8},{2,5,9},{3},{6},{7,10}}=>[4,5,3,8,9,6,10,1,2,7] {{1,4,6,10},{2},{3,7},{5,8},{9}}=>[4,2,7,6,8,10,3,5,9,1] {{1,4,6,9},{2},{3,7},{5},{8,10}}=>[4,2,7,6,5,9,3,10,1,8] {{1,4,6,8},{2},{3},{5,9},{7,10}}=>[4,2,3,6,9,8,10,1,5,7] {{1,4,7},{2,8},{3},{5,9},{6,10}}=>[4,8,3,7,9,10,1,2,5,6] {{1,5,10},{2,6},{3,7},{4,8},{9}}=>[5,6,7,8,10,2,3,4,9,1] {{1,5,9},{2,6},{3,7},{4},{8,10}}=>[5,6,7,4,9,2,3,10,1,8] {{1,5,8},{2,6},{3},{4,9},{7,10}}=>[5,6,3,9,8,2,10,1,4,7] {{1,5,7},{2},{3,8},{4,9},{6,10}}=>[5,2,8,9,7,10,1,3,4,6] {{1,2,4,8},{3,6},{5,10},{7},{9}}=>[2,4,6,8,10,3,7,1,9,5] {{1,2,4,9},{3,6,10},{5},{7},{8}}=>[2,4,6,9,5,10,7,8,1,3] {{1,2,4,10},{3,7},{5,8},{6},{9}}=>[2,4,7,10,8,6,3,5,9,1] {{1,2,4,9},{3,7,10},{5},{6},{8}}=>[2,4,7,9,5,6,10,8,1,3] {{1,2,4},{3,8},{5,9},{6},{7,10}}=>[2,4,8,1,9,6,10,3,5,7] {{1,2,5,10},{3,8},{4,6},{7},{9}}=>[2,5,8,6,10,4,7,3,9,1] {{1,2,5},{3,9},{4,6,10},{7},{8}}=>[2,5,9,6,1,10,7,8,3,4] {{1,2,5},{3,7},{4,10},{6,8},{9}}=>[2,5,7,10,1,8,3,6,9,4] {{1,2,5},{3,7},{4,9},{6},{8,10}}=>[2,5,7,9,1,6,3,10,4,8] {{1,2,5,9},{3,8,10},{4},{6},{7}}=>[2,5,8,4,9,6,7,10,1,3] {{1,2,6,8},{3,10},{4,7},{5},{9}}=>[2,6,10,7,5,8,4,1,9,3] {{1,2,6},{3,9},{4,7},{5},{8,10}}=>[2,6,9,7,5,1,4,10,3,8] {{1,2,6,9},{3,8,10},{4},{5},{7}}=>[2,6,8,4,5,9,7,10,1,3] {{1,2,7},{3},{4,8,10},{5},{6,9}}=>[2,7,3,8,5,9,1,10,6,4] {{1,3,4,8},{2,6},{5,10},{7},{9}}=>[3,6,4,8,10,2,7,1,9,5] {{1,3,4,9},{2,6,10},{5},{7},{8}}=>[3,6,4,9,5,10,7,8,1,2] {{1,3,4,10},{2,7},{5,8},{6},{9}}=>[3,7,4,10,8,6,2,5,9,1] {{1,3,4,9},{2,7,10},{5},{6},{8}}=>[3,7,4,9,5,6,10,8,1,2] {{1,3,4},{2,8},{5,9},{6},{7,10}}=>[3,8,4,1,9,6,10,2,5,7] {{1,3,8},{2,5,6},{4,10},{7},{9}}=>[3,5,8,10,6,2,7,1,9,4] {{1,3,9},{2,5,6,10},{4},{7},{8}}=>[3,5,9,4,6,10,7,8,1,2] {{1,3,7,8},{2,5},{4,10},{6},{9}}=>[3,5,7,10,2,6,8,1,9,4] {{1,3,7},{2,5},{4,9,10},{6},{8}}=>[3,5,7,9,2,6,1,8,10,4] {{1,3,8},{2,5,9,10},{4},{6},{7}}=>[3,5,8,4,9,6,7,1,10,2] {{1,3,10},{2,6},{4,7,8},{5},{9}}=>[3,6,10,7,5,2,8,4,9,1] {{1,3,9,10},{2,6},{4,7},{5},{8}}=>[3,6,9,7,5,2,4,8,10,1] {{1,3,8},{2,6,9,10},{4},{5},{7}}=>[3,6,8,4,5,9,7,1,10,2] {{1,3},{2,7},{4,8},{5},{6,9,10}}=>[3,7,1,8,5,9,2,4,10,6] {{1,4,10},{2,8},{3,5,6},{7},{9}}=>[4,8,5,10,6,3,7,2,9,1] {{1,4},{2,9},{3,5,6,10},{7},{8}}=>[4,9,5,1,6,10,7,8,2,3] {{1,4,10},{2,7,8},{3,5},{6},{9}}=>[4,7,5,10,3,6,8,2,9,1] {{1,4,9,10},{2,7},{3,5},{6},{8}}=>[4,7,5,9,3,6,2,8,10,1] {{1,4},{2,8},{3,5,9,10},{6},{7}}=>[4,8,5,1,9,6,7,2,10,3] {{1,4},{2,6},{3,10},{5,7,8},{9}}=>[4,6,10,1,7,2,8,5,9,3] {{1,4},{2,6},{3,9,10},{5,7},{8}}=>[4,6,9,1,7,2,5,8,10,3] {{1,4},{2,6},{3,8},{5},{7,9,10}}=>[4,6,8,1,5,2,9,3,10,7] {{1,4,8},{2,7,9,10},{3},{5},{6}}=>[4,7,3,8,5,6,9,1,10,2] {{1,5,7,8},{2,10},{3,6},{4},{9}}=>[5,10,6,4,7,3,8,1,9,2] {{1,5,7},{2,9,10},{3,6},{4},{8}}=>[5,9,6,4,7,3,1,8,10,2] {{1,5},{2,8},{3,6},{4},{7,9,10}}=>[5,8,6,4,1,3,9,2,10,7] {{1,5,8},{2,7,9,10},{3},{4},{6}}=>[5,7,3,4,8,6,9,1,10,2] {{1,6},{2},{3,7,9,10},{4},{5,8}}=>[6,2,7,4,8,1,9,5,10,3] {{1},{2,4,6,8,10},{3},{5},{7},{9}}=>[1,4,3,6,5,8,7,10,9,2] {{1},{2,4,6,10},{3},{5},{7,9},{8}}=>[1,4,3,6,5,10,9,8,7,2] {{1},{2,4,8,10},{3},{5,7},{6},{9}}=>[1,4,3,8,7,6,5,10,9,2] {{1},{2,4,10},{3},{5,7,9},{6},{8}}=>[1,4,3,10,7,6,9,8,5,2] {{1},{2,4,10},{3},{5,9},{6,8},{7}}=>[1,4,3,10,9,8,7,6,5,2] {{1},{2,6,8,10},{3,5},{4},{7},{9}}=>[1,6,5,4,3,8,7,10,9,2] {{1},{2,6,10},{3,5},{4},{7,9},{8}}=>[1,6,5,4,3,10,9,8,7,2] {{1},{2,8,10},{3,5,7},{4},{6},{9}}=>[1,8,5,4,7,6,3,10,9,2] {{1},{2,10},{3,5,7,9},{4},{6},{8}}=>[1,10,5,4,7,6,9,8,3,2] {{1},{2,10},{3,5,9},{4},{6,8},{7}}=>[1,10,5,4,9,8,7,6,3,2] {{1},{2,8,10},{3,7},{4,6},{5},{9}}=>[1,8,7,6,5,4,3,10,9,2] {{1},{2,10},{3,7,9},{4,6},{5},{8}}=>[1,10,7,6,5,4,9,8,3,2] {{1},{2,10},{3,9},{4,6,8},{5},{7}}=>[1,10,9,6,5,8,7,4,3,2] {{1},{2,10},{3,9},{4,8},{5,7},{6}}=>[1,10,9,8,7,6,5,4,3,2] {{1,3},{2},{4,6,8,10},{5},{7},{9}}=>[3,2,1,6,5,8,7,10,9,4] {{1,3},{2},{4,6,10},{5},{7,9},{8}}=>[3,2,1,6,5,10,9,8,7,4] {{1,3},{2},{4,8,10},{5,7},{6},{9}}=>[3,2,1,8,7,6,5,10,9,4] {{1,3},{2},{4,10},{5,7,9},{6},{8}}=>[3,2,1,10,7,6,9,8,5,4] {{1,3},{2},{4,10},{5,9},{6,8},{7}}=>[3,2,1,10,9,8,7,6,5,4] {{1,3,5},{2},{4},{6,8,10},{7},{9}}=>[3,2,5,4,1,8,7,10,9,6] {{1,3,5},{2},{4},{6,10},{7,9},{8}}=>[3,2,5,4,1,10,9,8,7,6] {{1,3,5,7},{2},{4},{6},{8,10},{9}}=>[3,2,5,4,7,6,1,10,9,8] {{1,3,5,7,9},{2},{4},{6},{8},{10}}=>[3,2,5,4,7,6,9,8,1,10] {{1,3,5,9},{2},{4},{6,8},{7},{10}}=>[3,2,5,4,9,8,7,6,1,10] {{1,3,7},{2},{4,6},{5},{8,10},{9}}=>[3,2,7,6,5,4,1,10,9,8] {{1,3,7,9},{2},{4,6},{5},{8},{10}}=>[3,2,7,6,5,4,9,8,1,10] {{1,3,9},{2},{4,6,8},{5},{7},{10}}=>[3,2,9,6,5,8,7,4,1,10] {{1,3,9},{2},{4,8},{5,7},{6},{10}}=>[3,2,9,8,7,6,5,4,1,10] {{1,5},{2,4},{3},{6,8,10},{7},{9}}=>[5,4,3,2,1,8,7,10,9,6] {{1,5},{2,4},{3},{6,10},{7,9},{8}}=>[5,4,3,2,1,10,9,8,7,6] {{1,5,7},{2,4},{3},{6},{8,10},{9}}=>[5,4,3,2,7,6,1,10,9,8] {{1,5,7,9},{2,4},{3},{6},{8},{10}}=>[5,4,3,2,7,6,9,8,1,10] {{1,5,9},{2,4},{3},{6,8},{7},{10}}=>[5,4,3,2,9,8,7,6,1,10] {{1,7},{2,4,6},{3},{5},{8,10},{9}}=>[7,4,3,6,5,2,1,10,9,8] {{1,7,9},{2,4,6},{3},{5},{8},{10}}=>[7,4,3,6,5,2,9,8,1,10] {{1,9},{2,4,6,8},{3},{5},{7},{10}}=>[9,4,3,6,5,8,7,2,1,10] {{1,9},{2,4,8},{3},{5,7},{6},{10}}=>[9,4,3,8,7,6,5,2,1,10] {{1,7},{2,6},{3,5},{4},{8,10},{9}}=>[7,6,5,4,3,2,1,10,9,8] {{1,7,9},{2,6},{3,5},{4},{8},{10}}=>[7,6,5,4,3,2,9,8,1,10] {{1,9},{2,6,8},{3,5},{4},{7},{10}}=>[9,6,5,4,3,8,7,2,1,10] {{1,9},{2,8},{3,5,7},{4},{6},{10}}=>[9,8,5,4,7,6,3,2,1,10] {{1,9},{2,8},{3,7},{4,6},{5},{10}}=>[9,8,7,6,5,4,3,2,1,10] {{1,4,5,6,7,10},{2,8},{3,9}}=>[4,8,9,5,6,7,10,2,3,1] {{1,3,4,5,6,7,9,10},{2,8}}=>[3,8,4,5,6,7,9,2,10,1] {{1,2,7,8},{3,9},{4,5,6,10}}=>[2,7,9,5,6,10,8,1,3,4] {{1,3,4,5,7,9,10},{2,6,8}}=>[3,6,4,5,7,8,9,2,10,1] {{1,2,4,5,6,7,8,10},{3,9}}=>[2,4,9,5,6,7,8,10,3,1] {{1,7,10},{2,8},{3,9},{4},{5},{6}}=>[7,8,9,4,5,6,10,2,3,1] {{1,3,7,9,10},{2,8},{4},{5},{6}}=>[3,8,7,4,5,6,9,2,10,1] {{1,3,7,9,10},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,9,2,10,1] {{1,7},{2,3,6,8,9},{4},{5},{10}}=>[7,3,6,4,5,8,1,9,2,10] {{1,2,3,5,6,7,8,9,10},{4}}=>[2,3,5,4,6,7,8,9,10,1] {{1,7},{2,3,5,6,8,9},{4},{10}}=>[7,3,5,4,6,8,1,9,2,10] {{1,2,7,8},{3,4,5,9},{6,10}}=>[2,7,4,5,9,10,8,1,3,6] {{1,7},{2,3,4,5,6,8,9},{10}}=>[7,3,4,5,6,8,1,9,2,10] {{1,2,3,4,6,7,8,9,10},{5}}=>[2,3,4,6,5,7,8,9,10,1] {{1,7},{2,3,4,8},{5},{6,9},{10}}=>[7,3,4,8,5,9,1,2,6,10] {{1,2,4,5,6,7,9},{3,8,10}}=>[2,4,8,5,6,7,9,10,1,3] {{1,7},{2,4,5,6,9},{3,8},{10}}=>[7,4,8,5,6,9,1,3,2,10] {{1,3,6,7,8,9,10},{2,4},{5}}=>[3,4,6,2,5,7,8,9,10,1] {{1,7},{2,4},{3,8},{5},{6,9},{10}}=>[7,4,8,2,5,9,1,3,6,10] {{1,2,3,4,5,6,7,8,9},{10}}=>[2,3,4,5,6,7,8,9,1,10] {{1},{2,3,4,5,6,7,8,9,10}}=>[1,3,4,5,6,7,8,9,10,2] {{1,2,3,4,5,6,7,9},{8},{10}}=>[2,3,4,5,6,7,9,8,1,10] {{1},{2,3,4,5,6,7,8,10},{9}}=>[1,3,4,5,6,7,8,10,9,2] {{1},{2,10},{3,9},{4,8},{5,6,7}}=>[1,10,9,8,6,7,5,4,3,2] {{1,9},{2,8},{3,7},{4,5,6},{10}}=>[9,8,7,5,6,4,3,2,1,10] {{1,3,4,5,6,7,8,9,10},{2}}=>[3,2,4,5,6,7,8,9,10,1] {{1},{2,3,9,10},{4,8},{5,7},{6}}=>[1,3,9,8,7,6,5,4,10,2] {{1,2,8,9},{3,7},{4,6},{5},{10}}=>[2,8,7,6,5,4,3,9,1,10] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,3,4,5,6,7,8,9,10] {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>[1,2,3,4,5,6,7,8,10,9] {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}=>[1,2,3,4,5,6,7,10,9,8] {{1,2},{3},{4},{5},{6},{7},{8},{9,10}}=>[2,1,3,4,5,6,7,8,10,9] {{1,2},{3},{4},{5},{6},{7},{8,10},{9}}=>[2,1,3,4,5,6,7,10,9,8] {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>[10,2,3,4,5,6,7,8,9,1] {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}=>[2,3,1,4,5,6,7,8,9,10] {{1,10},{2,3},{4},{5},{6},{7},{8},{9}}=>[10,3,2,4,5,6,7,8,9,1] {{1},{2},{3,4,5,6,7,8,9,10}}=>[1,2,4,5,6,7,8,9,10,3] {{1},{2,3,4,5,6,7,8,9},{10}}=>[1,3,4,5,6,7,8,9,2,10] {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,10,1] {{1},{2},{3,4,5,6,7,8,9},{10}}=>[1,2,4,5,6,7,8,9,3,10] {{1},{2,3,4,5,6,7,8},{9},{10}}=>[1,3,4,5,6,7,8,2,9,10] {{1},{2},{3,4,5,6,7,9},{8},{10}}=>[1,2,4,5,6,7,9,8,3,10] {{1},{2,3,4,5,6,8},{7},{9},{10}}=>[1,3,4,5,6,8,7,2,9,10] {{1,10},{2,3,4,5,6,7,8,9}}=>[10,3,4,5,6,7,8,9,2,1] {{1,10},{2,3,4,5,6,7,9},{8}}=>[10,3,4,5,6,7,9,8,2,1] {{1,2,3,4,5,6,7,8,10},{9}}=>[2,3,4,5,6,7,8,10,9,1] {{1,2,3,4,5,6,7,10},{8,9}}=>[2,3,4,5,6,7,10,9,8,1] {{1},{2,3,4,5,6,7,10},{8,9}}=>[1,3,4,5,6,7,10,9,8,2] {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>[2,10,3,4,5,6,7,8,9,1] {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>[9,2,3,4,5,6,7,8,1,10] {{1,2,9},{3},{4},{5},{6},{7},{8},{10}}=>[2,9,3,4,5,6,7,8,1,10] {{1,2,3,4,5,6,8,10},{7},{9}}=>[2,3,4,5,6,8,7,10,9,1] {{1,2,3,4,5,6,8,9},{7},{10}}=>[2,3,4,5,6,8,7,9,1,10] {{1,2},{3,4,5,6,7,8,9,10}}=>[2,1,4,5,6,7,8,9,10,3] {{1,2},{3,4,5,6,7,8,10},{9}}=>[2,1,4,5,6,7,8,10,9,3] {{1,2,3,4,5,6,7,8},{9,10}}=>[2,3,4,5,6,7,8,1,10,9] {{1,2,3,4,5,6,8},{7},{9,10}}=>[2,3,4,5,6,8,7,1,10,9] {{1,3,4,5,6,7,8,9},{2},{10}}=>[3,2,4,5,6,7,8,9,1,10] {{1},{2,4,5,6,7,8,9,10},{3}}=>[1,4,3,5,6,7,8,9,10,2] {{1,3,4,5,6,7,8},{2,10},{9}}=>[3,10,4,5,6,7,8,1,9,2] {{1,2,3,4,5,6,7},{8,9},{10}}=>[2,3,4,5,6,7,1,9,8,10] {{1,3,5,7,9},{2,4,6,8,10}}=>[3,4,5,6,7,8,9,10,1,2] {{1,3,5,7},{2,4,6,8,10},{9}}=>[3,4,5,6,7,8,1,10,9,2] {{1,2,9,10},{3,8},{4,7},{5,6}}=>[2,9,8,7,6,5,4,3,10,1] {{1,2,9,10},{3,4,7,8},{5,6}}=>[2,9,4,7,6,5,8,3,10,1] {{1,3,8,10},{2,9},{4,7},{5,6}}=>[3,9,8,7,6,5,4,10,2,1] {{1,2,9,10},{3,4,7,8},{5},{6}}=>[2,9,4,7,5,6,8,3,10,1] {{1,3,8,10},{2,9},{4,5,6,7}}=>[3,9,8,5,6,7,4,10,2,1] {{1,4,7,10},{2,3,8,9},{5,6}}=>[4,3,8,7,6,5,10,9,2,1] {{1,2,9,10},{3,7},{4,8},{5},{6}}=>[2,9,7,8,5,6,3,4,10,1] {{1,3,8,10},{2,9},{4,6},{5,7}}=>[3,9,8,6,7,4,5,10,2,1] {{1,4,7,10},{2,3,8,9},{5},{6}}=>[4,3,8,7,5,6,10,9,2,1] {{1,5,6,10},{2,4,7,9},{3,8}}=>[5,4,8,7,6,10,9,3,2,1] {{1,9},{2,10},{3,7},{4,8},{5},{6}}=>[9,10,7,8,5,6,3,4,1,2] {{1,2,3,8,9,10},{4,6},{5,7}}=>[2,3,8,6,7,4,5,9,10,1] {{1,3,4,5,6,7,8,10},{2,9}}=>[3,9,4,5,6,7,8,10,2,1] {{1,2,3,4,7,8,9,10},{5},{6}}=>[2,3,4,7,5,6,8,9,10,1] {{1,4,5,6,7,10},{2,3,8,9}}=>[4,3,8,5,6,7,10,9,2,1] {{1,2,5,6,9,10},{3,4,7,8}}=>[2,5,4,7,6,9,8,3,10,1] {{1,3,7,9},{2,4,8,10},{5},{6}}=>[3,4,7,8,5,6,9,10,1,2] {{1,3,8,10},{2,4,5,6,7,9}}=>[3,4,8,5,6,7,9,10,2,1] {{1,3,5,6,8,10},{2,4,7,9}}=>[3,4,5,7,6,8,9,10,2,1] {{1,4,7,10},{2,3,5,6,8,9}}=>[4,3,5,7,6,8,10,9,2,1] {{1,5,9},{2,6,10},{3,7},{4,8}}=>[5,6,7,8,9,10,3,4,1,2] {{1,4,7,10},{2,5,8},{3,6,9}}=>[4,5,6,7,8,9,10,2,3,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[1,2,3,4,5,6,7,8,9,10] {{1,8},{2,7},{3,6},{4,5},{9},{10}}=>[8,7,6,5,4,3,2,1,9,10] {{1,9},{2,7},{3,5},{4},{6,10},{8}}=>[9,7,5,4,3,10,2,8,1,6] {{1,8},{2,6},{3,5},{4},{7,9},{10}}=>[8,6,5,4,3,2,9,1,7,10] {{1,7},{2,6},{3,5},{4},{8},{9},{10}}=>[7,6,5,4,3,2,1,8,9,10] {{1,8},{2,6},{3,4},{5,9},{7},{10}}=>[8,6,4,3,9,2,7,1,5,10] {{1,7},{2,5},{3,4},{6,8},{9},{10}}=>[7,5,4,3,2,8,1,6,9,10] {{1,6},{2,5},{3,4},{7},{8},{9},{10}}=>[6,5,4,3,2,1,7,8,9,10] {{1,8},{2,6},{3,9},{4},{5,7},{10}}=>[8,6,9,4,7,2,5,1,3,10] {{1,8},{2,5},{3},{4,9},{6},{7,10}}=>[8,5,3,9,2,6,10,1,4,7] {{1,7},{2,5},{3},{4,8},{6},{9},{10}}=>[7,5,3,8,2,6,1,4,9,10] {{1,7},{2,4},{3},{5,8},{6,9},{10}}=>[7,4,3,2,8,9,1,5,6,10] {{1,6},{2,4},{3},{5,7},{8},{9},{10}}=>[6,4,3,2,7,1,5,8,9,10] {{1,5},{2,4},{3},{6},{7},{8},{9},{10}}=>[5,4,3,2,1,6,7,8,9,10] {{1,7},{2,8},{3,5},{4,6},{9},{10}}=>[7,8,5,6,3,4,1,2,9,10] {{1,8},{2,5},{3,9},{4,10},{6},{7}}=>[8,5,9,10,2,6,7,1,3,4] {{1,6},{2,4},{3,7},{5},{8},{9},{10}}=>[6,4,7,2,5,1,3,8,9,10] {{1,6},{2,3},{4,7},{5,8},{9},{10}}=>[6,3,2,7,8,1,4,5,9,10] {{1,5},{2,3},{4,6},{7},{8},{9},{10}}=>[5,3,2,6,1,4,7,8,9,10] {{1,4},{2,3},{5},{6},{7},{8},{9},{10}}=>[4,3,2,1,5,6,7,8,9,10] {{1,7},{2,8},{3,9},{4},{5},{6},{10}}=>[7,8,9,4,5,6,1,2,3,10] {{1,7},{2,8},{3},{4},{5,9},{6,10}}=>[7,8,3,4,9,10,1,2,5,6] {{1,6},{2,7},{3},{4},{5,8},{9},{10}}=>[6,7,3,4,8,1,2,5,9,10] {{1,5},{2,6},{3},{4},{7},{8},{9},{10}}=>[5,6,3,4,1,2,7,8,9,10] {{1,6},{2},{3,7},{4,8},{5,9},{10}}=>[6,2,7,8,9,1,3,4,5,10] {{1,5},{2},{3,6},{4,7},{8},{9},{10}}=>[5,2,6,7,1,3,4,8,9,10] {{1,4},{2},{3,5},{6},{7},{8},{9},{10}}=>[4,2,5,1,3,6,7,8,9,10] {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>[3,2,1,4,5,6,7,8,9,10] {{1,5},{2,6},{3,7},{4,8},{9},{10}}=>[5,6,7,8,1,2,3,4,9,10] {{1,4},{2,5},{3,6},{7},{8},{9},{10}}=>[4,5,6,1,2,3,7,8,9,10] {{1,3},{2,4},{5},{6},{7},{8},{9},{10}}=>[3,4,1,2,5,6,7,8,9,10] {{1,3,4,5,6,7,8,10},{2},{9}}=>[3,2,4,5,6,7,8,10,9,1] {{1,10},{2,3,4,5,6,8,9},{7}}=>[10,3,4,5,6,8,7,9,2,1] {{1,3,4,5,6,7,10},{2},{8,9}}=>[3,2,4,5,6,7,10,9,8,1] {{1,2,6,7,8,10},{3,4,5,9}}=>[2,6,4,5,9,7,8,10,3,1] {{1,2,3,6,7,8,9,10},{4},{5}}=>[2,3,6,4,5,7,8,9,10,1] {{1,2,5,6,7,8,10},{3,4,9}}=>[2,5,4,9,6,7,8,10,3,1] {{1,3,4,5,6,7,9,10},{2},{8}}=>[3,2,4,5,6,7,9,8,10,1] {{1,2,7,8},{3,9},{4},{5},{6,10}}=>[2,7,9,4,5,10,8,1,3,6] {{1,2,6,7,8,10},{3,9},{4},{5}}=>[2,6,9,4,5,7,8,10,3,1] {{1,2,5,6,7,8,10},{3,9},{4}}=>[2,5,9,4,6,7,8,10,3,1] {{1,3,5,7,9,10},{2,6,8},{4}}=>[3,6,5,4,7,8,9,2,10,1] {{1,10},{2,3,4,5,6,9},{7,8}}=>[10,3,4,5,6,9,8,7,2,1] {{1,2,3,4,5,6,7,8,9,10},{11}}=>[2,3,4,5,6,7,8,9,10,1,11] {{1},{2,3,4,5,6,7,8,9,10,11}}=>[1,3,4,5,6,7,8,9,10,11,2] {{1},{2,11},{3,10},{4,9},{5,8},{6,7}}=>[1,11,10,9,8,7,6,5,4,3,2] {{1,10},{2,9},{3,8},{4,7},{5,6},{11}}=>[10,9,8,7,6,5,4,3,2,1,11] {{1,2,3,4,5,6,7,8,9,10,11}}=>[2,3,4,5,6,7,8,9,10,11,1] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>[2,1,3,4,5,6,7,8,9,10,11] {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>[1,2,3,4,5,6,7,8,9,11,10] {{1},{2},{3},{4},{5},{6},{7},{8},{9,11},{10}}=>[1,2,3,4,5,6,7,8,11,10,9] {{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[11,2,3,4,5,6,7,8,9,10,1] {{1},{2},{3,4,5,6,7,8,9,10},{11}}=>[1,2,4,5,6,7,8,9,10,3,11] {{1},{2,3,4,5,6,7,8,9},{10},{11}}=>[1,3,4,5,6,7,8,9,2,10,11] {{1,11},{2,3,4,5,6,7,8,9,10}}=>[11,3,4,5,6,7,8,9,10,2,1] {{1,2,3,4,5,6,7,8,9,11},{10}}=>[2,3,4,5,6,7,8,9,11,10,1] {{1,2,3,4,5,6,7,8,11},{9,10}}=>[2,3,4,5,6,7,8,11,10,9,1] {{1,2,11},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,11,3,4,5,6,7,8,9,10,1] {{1,2},{3,4,5,6,7,8,9,10,11}}=>[2,1,4,5,6,7,8,9,10,11,3] {{1,2,3,4,5,6,7,8,9},{10,11}}=>[2,3,4,5,6,7,8,9,1,11,10] {{1,3,4,5,6,7,8,9,10,11},{2}}=>[3,2,4,5,6,7,8,9,10,11,1] {{1,3,5,7,9,11},{2,4,6,8,10}}=>[3,4,5,6,7,8,9,10,11,2,1] {{1,3,4,5,6,7,8,9,11},{2},{10}}=>[3,2,4,5,6,7,8,9,11,10,1] {{1,11},{2,3,4,5,6,7,8,10},{9}}=>[11,3,4,5,6,7,8,10,9,2,1] {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12}}=>[10,9,8,7,6,5,4,3,2,1,12,11] {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8}}=>[2,1,12,11,10,9,8,7,6,5,4,3] {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9}}=>[2,1,12,11,10,7,6,9,8,5,4,3] {{1,10},{2,9},{3,8},{4,5},{6,7},{11,12}}=>[10,9,8,5,4,7,6,3,2,1,12,11] {{1,2},{3,12},{4,11},{5,6},{7,10},{8,9}}=>[2,1,12,11,6,5,10,9,8,7,4,3] {{1,2},{3,12},{4,11},{5,8},{6,7},{9,10}}=>[2,1,12,11,8,7,6,5,10,9,4,3] {{1,10},{2,9},{3,4},{5,8},{6,7},{11,12}}=>[10,9,4,3,8,7,6,5,2,1,12,11] {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12}}=>[10,9,6,5,4,3,8,7,2,1,12,11] {{1,2},{3,12},{4,5},{6,11},{7,10},{8,9}}=>[2,1,12,5,4,11,10,9,8,7,6,3] {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10}}=>[2,1,12,11,6,5,8,7,10,9,4,3] {{1,2},{3,12},{4,9},{5,8},{6,7},{10,11}}=>[2,1,12,9,8,7,6,5,4,11,10,3] {{1,4},{2,3},{5,12},{6,11},{7,10},{8,9}}=>[4,3,2,1,12,11,10,9,8,7,6,5] {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12}}=>[10,3,2,9,8,7,6,5,4,1,12,11] {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12}}=>[10,9,4,3,6,5,8,7,2,1,12,11] {{1,8},{2,7},{3,6},{4,5},{9,12},{10,11}}=>[8,7,6,5,4,3,2,1,12,11,10,9] {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12}}=>[10,7,6,5,4,3,2,9,8,1,12,11] {{1,2},{3,4},{5,12},{6,11},{7,10},{8,9}}=>[2,1,4,3,12,11,10,9,8,7,6,5] {{1,2},{3,12},{4,5},{6,11},{7,8},{9,10}}=>[2,1,12,5,4,11,8,7,10,9,6,3] {{1,2},{3,12},{4,7},{5,6},{8,11},{9,10}}=>[2,1,12,7,6,5,4,11,10,9,8,3] {{1,2},{3,12},{4,9},{5,6},{7,8},{10,11}}=>[2,1,12,9,6,5,8,7,4,11,10,3] {{1,2},{3,10},{4,9},{5,8},{6,7},{11,12}}=>[2,1,10,9,8,7,6,5,4,3,12,11] {{1,4},{2,3},{5,12},{6,11},{7,8},{9,10}}=>[4,3,2,1,12,11,8,7,10,9,6,5] {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12}}=>[10,3,2,9,6,5,8,7,4,1,12,11] {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>[6,5,4,3,2,1,12,11,10,9,8,7] {{1,10},{2,5},{3,4},{6,9},{7,8},{11,12}}=>[10,5,4,3,2,9,8,7,6,1,12,11] {{1,8},{2,7},{3,4},{5,6},{9,12},{10,11}}=>[8,7,4,3,6,5,2,1,12,11,10,9] {{1,10},{2,7},{3,4},{5,6},{8,9},{11,12}}=>[10,7,4,3,6,5,2,9,8,1,12,11] {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12}}=>[8,7,6,5,4,3,2,1,10,9,12,11] {{1,2},{3,4},{5,12},{6,11},{7,8},{9,10}}=>[2,1,4,3,12,11,8,7,10,9,6,5] {{1,2},{3,12},{4,5},{6,7},{8,11},{9,10}}=>[2,1,12,5,4,7,6,11,10,9,8,3] {{1,2},{3,12},{4,5},{6,9},{7,8},{10,11}}=>[2,1,12,5,4,9,8,7,6,11,10,3] {{1,2},{3,12},{4,7},{5,6},{8,9},{10,11}}=>[2,1,12,7,6,5,4,9,8,11,10,3] {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12}}=>[2,1,10,9,6,5,8,7,4,3,12,11] {{1,4},{2,3},{5,12},{6,7},{8,11},{9,10}}=>[4,3,2,1,12,7,6,11,10,9,8,5] {{1,4},{2,3},{5,12},{6,9},{7,8},{10,11}}=>[4,3,2,1,12,9,8,7,6,11,10,5] {{1,6},{2,3},{4,5},{7,12},{8,11},{9,10}}=>[6,3,2,5,4,1,12,11,10,9,8,7] {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12}}=>[10,3,2,5,4,9,8,7,6,1,12,11] {{1,8},{2,3},{4,7},{5,6},{9,12},{10,11}}=>[8,3,2,7,6,5,4,1,12,11,10,9] {{1,10},{2,3},{4,7},{5,6},{8,9},{11,12}}=>[10,3,2,7,6,5,4,9,8,1,12,11] {{1,6},{2,5},{3,4},{7,12},{8,9},{10,11}}=>[6,5,4,3,2,1,12,9,8,11,10,7] {{1,8},{2,5},{3,4},{6,7},{9,12},{10,11}}=>[8,5,4,3,2,7,6,1,12,11,10,9] {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12}}=>[10,5,4,3,2,7,6,9,8,1,12,11] {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12}}=>[8,7,4,3,6,5,2,1,10,9,12,11] {{1,2},{3,4},{5,6},{7,12},{8,9},{10,11}}=>[2,1,4,3,6,5,12,9,8,11,10,7] {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11}}=>[2,1,4,3,6,5,8,7,12,11,10,9] {{1,4},{2,3},{5,6},{7,12},{8,9},{10,11}}=>[4,3,2,1,6,5,12,9,8,11,10,7] {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11}}=>[4,3,2,1,6,5,8,7,12,11,10,9] {{1,6},{2,3},{4,5},{7,12},{8,9},{10,11}}=>[6,3,2,5,4,1,12,9,8,11,10,7] {{1,2},{3,6},{4,5},{7,12},{8,9},{10,11}}=>[2,1,6,5,4,3,12,9,8,11,10,7] {{1,6},{2,3},{4,5},{7,8},{9,12},{10,11}}=>[6,3,2,5,4,1,8,7,12,11,10,9] {{1,2},{3,6},{4,5},{7,8},{9,12},{10,11}}=>[2,1,6,5,4,3,8,7,12,11,10,9] {{1,2},{3,4},{5,12},{6,9},{7,8},{10,11}}=>[2,1,4,3,12,9,8,7,6,11,10,5] {{1,2},{3,12},{4,5},{6,7},{8,9},{10,11}}=>[2,1,12,5,4,7,6,9,8,11,10,3] {{1,2},{3,8},{4,5},{6,7},{9,12},{10,11}}=>[2,1,8,5,4,7,6,3,12,11,10,9] {{1,6},{2,5},{3,4},{7,8},{9,12},{10,11}}=>[6,5,4,3,2,1,8,7,12,11,10,9] {{1,2},{3,4},{5,12},{6,7},{8,9},{10,11}}=>[2,1,4,3,12,7,6,9,8,11,10,5] {{1,2},{3,4},{5,8},{6,7},{9,12},{10,11}}=>[2,1,4,3,8,7,6,5,12,11,10,9] {{1,12},{2,5},{3,4},{6,9},{7,8},{10,11}}=>[12,5,4,3,2,9,8,7,6,11,10,1] {{1,12},{2,3},{4,5},{6,9},{7,8},{10,11}}=>[12,3,2,5,4,9,8,7,6,11,10,1] {{1,2},{3,4},{5,12},{6,7},{8,11},{9,10}}=>[2,1,4,3,12,7,6,11,10,9,8,5] {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11}}=>[12,5,4,3,2,7,6,9,8,11,10,1] {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>[12,3,2,5,4,7,6,9,8,11,10,1] {{1,8},{2,3},{4,5},{6,7},{9,12},{10,11}}=>[8,3,2,5,4,7,6,1,12,11,10,9] {{1,4},{2,3},{5,12},{6,7},{8,9},{10,11}}=>[4,3,2,1,12,7,6,9,8,11,10,5] {{1,4},{2,3},{5,8},{6,7},{9,12},{10,11}}=>[4,3,2,1,8,7,6,5,12,11,10,9] {{1,2},{3,4},{5,6},{7,12},{8,11},{9,10}}=>[2,1,4,3,6,5,12,11,10,9,8,7] {{1,12},{2,9},{3,4},{5,8},{6,7},{10,11}}=>[12,9,4,3,8,7,6,5,2,11,10,1] {{1,12},{2,3},{4,9},{5,8},{6,7},{10,11}}=>[12,3,2,9,8,7,6,5,4,11,10,1] {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11}}=>[12,9,4,3,6,5,8,7,2,11,10,1] {{1,12},{2,3},{4,9},{5,6},{7,8},{10,11}}=>[12,3,2,9,6,5,8,7,4,11,10,1] {{1,12},{2,7},{3,4},{5,6},{8,9},{10,11}}=>[12,7,4,3,6,5,2,9,8,11,10,1] {{1,12},{2,3},{4,7},{5,6},{8,9},{10,11}}=>[12,3,2,7,6,5,4,9,8,11,10,1] {{1,2},{3,8},{4,7},{5,6},{9,12},{10,11}}=>[2,1,8,7,6,5,4,3,12,11,10,9] {{1,4},{2,3},{5,6},{7,12},{8,11},{9,10}}=>[4,3,2,1,6,5,12,11,10,9,8,7] {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12}}=>[6,5,4,3,2,1,8,7,10,9,12,11] {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12}}=>[8,3,2,7,6,5,4,1,10,9,12,11] {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12}}=>[2,1,8,7,6,5,4,3,10,9,12,11] {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12}}=>[4,3,2,1,10,9,8,7,6,5,12,11] {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12}}=>[2,1,4,3,10,9,8,7,6,5,12,11] {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10}}=>[12,11,4,3,6,5,8,7,10,9,2,1] {{1,12},{2,7},{3,4},{5,6},{8,11},{9,10}}=>[12,7,4,3,6,5,2,11,10,9,8,1] {{1,12},{2,5},{3,4},{6,7},{8,11},{9,10}}=>[12,5,4,3,2,7,6,11,10,9,8,1] {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10}}=>[12,3,2,5,4,7,6,11,10,9,8,1] {{1,2},{3,10},{4,5},{6,9},{7,8},{11,12}}=>[2,1,10,5,4,9,8,7,6,3,12,11] {{1,12},{2,11},{3,6},{4,5},{7,8},{9,10}}=>[12,11,6,5,4,3,8,7,10,9,2,1] {{1,12},{2,5},{3,4},{6,11},{7,8},{9,10}}=>[12,5,4,3,2,11,8,7,10,9,6,1] {{1,12},{2,9},{3,6},{4,5},{7,8},{10,11}}=>[12,9,6,5,4,3,8,7,2,11,10,1] {{1,12},{2,3},{4,7},{5,6},{8,11},{9,10}}=>[12,3,2,7,6,5,4,11,10,9,8,1] {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11}}=>[12,7,6,5,4,3,2,9,8,11,10,1] {{1,2},{3,6},{4,5},{7,12},{8,11},{9,10}}=>[2,1,6,5,4,3,12,11,10,9,8,7] {{1,6},{2,5},{3,4},{7,10},{8,9},{11,12}}=>[6,5,4,3,2,1,10,9,8,7,12,11] {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12}}=>[2,1,6,5,4,3,10,9,8,7,12,11] {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12}}=>[4,3,2,1,6,5,8,7,10,9,12,11] {{1,4},{2,3},{5,6},{7,10},{8,9},{11,12}}=>[4,3,2,1,6,5,10,9,8,7,12,11] {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10}}=>[12,3,2,5,4,11,8,7,10,9,6,1] {{1,4},{2,3},{5,8},{6,7},{9,10},{11,12}}=>[4,3,2,1,8,7,6,5,10,9,12,11] {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12}}=>[6,3,2,5,4,1,8,7,10,9,12,11] {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9}}=>[12,3,2,5,4,11,10,9,8,7,6,1] {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12}}=>[10,3,2,5,4,7,6,9,8,1,12,11] {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10}}=>[12,3,2,11,6,5,8,7,10,9,4,1] {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12}}=>[4,3,2,1,10,7,6,9,8,5,12,11] {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12}}=>[8,3,2,5,4,7,6,1,10,9,12,11] {{1,12},{2,3},{4,11},{5,6},{7,10},{8,9}}=>[12,3,2,11,6,5,10,9,8,7,4,1] {{1,6},{2,3},{4,5},{7,10},{8,9},{11,12}}=>[6,3,2,5,4,1,10,9,8,7,12,11] {{1,12},{2,3},{4,11},{5,8},{6,7},{9,10}}=>[12,3,2,11,8,7,6,5,10,9,4,1] {{1,12},{2,3},{4,11},{5,10},{6,7},{8,9}}=>[12,3,2,11,10,7,6,9,8,5,4,1] {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9}}=>[12,11,4,3,6,5,10,9,8,7,2,1] {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12}}=>[2,1,8,5,4,7,6,3,10,9,12,11] {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12}}=>[2,1,4,3,10,7,6,9,8,5,12,11] {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12}}=>[2,1,6,5,4,3,8,7,10,9,12,11] {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12}}=>[2,1,4,3,8,7,6,5,10,9,12,11] {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12}}=>[2,1,4,3,6,5,10,9,8,7,12,11] {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>[2,1,4,3,6,5,8,7,10,9,12,11] {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11}}=>[12,9,8,7,6,5,4,3,2,11,10,1] {{1,12},{2,9},{3,8},{4,5},{6,7},{10,11}}=>[12,9,8,5,4,7,6,3,2,11,10,1] {{1,12},{2,7},{3,6},{4,5},{8,11},{9,10}}=>[12,7,6,5,4,3,2,11,10,9,8,1] {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10}}=>[12,11,8,7,6,5,4,3,10,9,2,1] {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10}}=>[12,11,8,5,4,7,6,3,10,9,2,1] {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12}}=>[8,5,4,3,2,7,6,1,10,9,12,11] {{1,2},{3,10},{4,7},{5,6},{8,9},{11,12}}=>[2,1,10,7,6,5,4,9,8,3,12,11] {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9}}=>[12,11,10,7,6,5,4,9,8,3,2,1] {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8}}=>[12,11,10,9,6,5,8,7,4,3,2,1] {{1,12},{2,11},{3,4},{5,8},{6,7},{9,10}}=>[12,11,4,3,8,7,6,5,10,9,2,1] {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9}}=>[12,11,6,5,4,3,10,9,8,7,2,1] {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9}}=>[12,11,4,3,10,7,6,9,8,5,2,1] {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9}}=>[12,11,10,5,4,7,6,9,8,3,2,1] {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8}}=>[12,11,4,3,10,9,8,7,6,5,2,1] {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>[12,11,10,9,8,7,6,5,4,3,2,1] {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8}}=>[12,11,10,5,4,9,8,7,6,3,2,1] {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8}}=>[12,3,2,11,10,9,8,7,6,5,4,1] {{1,12},{2,5},{3,4},{6,11},{7,10},{8,9}}=>[12,5,4,3,2,11,10,9,8,7,6,1] {{1,2,3,4,5,6,7,8,9,10,11,12}}=>[2,3,4,5,6,7,8,9,10,11,12,1] {{1,2,3,4,5,7,8,9,10},{6,11,12}}=>[2,3,4,5,7,11,8,9,10,1,12,6] {{1,2,7},{3,4,5,6,8,9,10,11,12}}=>[2,7,4,5,6,8,1,9,10,11,12,3] {{1,2,3,4,7,8,9},{5,10},{6,11,12}}=>[2,3,4,7,10,11,8,9,1,5,12,6] {{1,2,7},{3,8},{4,5,6,9,10,11,12}}=>[2,7,8,5,6,9,1,3,10,11,12,4] {{1,3,4,5,7,9,10},{2,6,8,11,12}}=>[3,6,4,5,7,8,9,11,10,1,12,2] {{1,2,3,4,6,7,8,9,11,12},{5,10}}=>[2,3,4,6,10,7,8,9,11,5,12,1] {{1,2,3,7,8},{4,9},{5,10},{6,11,12}}=>[2,3,7,9,10,11,8,1,4,5,12,6] {{1,3,5,7,9,11},{2,4,6,8,10,12}}=>[3,4,5,6,7,8,9,10,11,12,1,2] {{1,2,7},{3,8},{4,9},{5,6,10,11,12}}=>[2,7,8,9,6,10,1,3,4,11,12,5] {{1,2,4,5,6,7,9,10,11,12},{3,8}}=>[2,4,8,5,6,7,9,3,10,11,12,1] {{1,2,5,7,11},{3,4,6,8,9,10,12}}=>[2,5,4,6,7,8,11,9,10,12,1,3] {{1,3,4,7,9},{2,6,8,11,12},{5,10}}=>[3,6,4,7,10,8,9,11,1,5,12,2] {{1,2,3,6,7,8,11,12},{4,9},{5,10}}=>[2,3,6,9,10,7,8,11,4,5,12,1] {{1,2,7},{3,8},{4,9},{5,10},{6,11,12}}=>[2,7,8,9,10,11,1,3,4,5,12,6] {{1,2,5,6,7,10,11,12},{3,8},{4,9}}=>[2,5,8,9,6,7,10,3,4,11,12,1] {{1,4,7,10},{2,5,8,11},{3,6,9,12}}=>[4,5,6,7,8,9,10,11,12,1,2,3] {{1,2,5,7,11},{3,8},{4,6,9,10,12}}=>[2,5,8,6,7,9,11,3,10,12,1,4] {{1,3,4,7,9},{2,5,6,8,10,11,12}}=>[3,5,4,7,6,8,9,10,1,11,12,2] {{1,3,7},{2,6,8,11,12},{4,9},{5,10}}=>[3,6,7,9,10,8,1,11,4,5,12,2] {{1,2,3,5,6,7,8,10,11,12},{4,9}}=>[2,3,5,9,6,7,8,10,4,11,12,1] {{1,2,6,7,11,12},{3,8},{4,9},{5,10}}=>[2,6,8,9,10,7,11,3,4,5,12,1] {{1,2,3,4,5,7,8,9,11},{6,10,12}}=>[2,3,4,5,7,10,8,9,11,12,1,6] {{1,3,7},{2,4,5,6,8,9,10,11,12}}=>[3,4,7,5,6,8,1,9,10,11,12,2] {{1,3,4,6,7,9,10,12},{2,5,8,11}}=>[3,5,4,6,8,7,9,11,10,12,2,1] {{1,2,5,7,11},{3,8},{4,9},{6,10,12}}=>[2,5,8,9,7,10,11,3,4,12,1,6] {{1,2,3,5,7,8,11},{4,6,9,10,12}}=>[2,3,5,6,7,9,8,11,10,12,1,4] {{1,6},{2,7},{3,8},{4,9},{5,10},{11,12}}=>[6,7,8,9,10,1,2,3,4,5,12,11] {{1,2},{3,8},{4,9},{5,10},{6,11},{7,12}}=>[2,1,8,9,10,11,12,3,4,5,6,7] {{1,5},{2,7},{3,8},{4,9},{6,10},{11,12}}=>[5,7,8,9,1,10,2,3,4,6,12,11] {{1,2},{3,7},{4,9},{5,10},{6,11},{8,12}}=>[2,1,7,9,10,11,3,12,4,5,6,8] {{1,5},{2,6},{3,8},{4,9},{7,10},{11,12}}=>[5,6,8,9,1,2,10,3,4,7,12,11] {{1,4},{2,7},{3,8},{5,9},{6,10},{11,12}}=>[4,7,8,1,9,10,2,3,5,6,12,11] {{1,2},{3,7},{4,8},{5,10},{6,11},{9,12}}=>[2,1,7,8,10,11,3,4,12,5,6,9] {{1,2},{3,6},{4,9},{5,10},{7,11},{8,12}}=>[2,1,6,9,10,3,11,12,4,5,7,8] {{1,5},{2,6},{3,7},{4,9},{8,10},{11,12}}=>[5,6,7,9,1,2,3,10,4,8,12,11] {{1,4},{2,6},{3,8},{5,9},{7,10},{11,12}}=>[4,6,8,1,9,2,10,3,5,7,12,11] {{1,3},{2,7},{4,8},{5,9},{6,10},{11,12}}=>[3,7,1,8,9,10,2,4,5,6,12,11] {{1,5},{2,6},{3,7},{4,8},{9,11},{10,12}}=>[5,6,7,8,1,2,3,4,11,12,9,10] {{1,2},{3,7},{4,8},{5,9},{6,11},{10,12}}=>[2,1,7,8,9,11,3,4,5,12,6,10] {{1,2},{3,6},{4,8},{5,10},{7,11},{9,12}}=>[2,1,6,8,10,3,11,4,12,5,7,9] {{1,3},{2,4},{5,9},{6,10},{7,11},{8,12}}=>[3,4,1,2,9,10,11,12,5,6,7,8] {{1,2},{3,5},{4,9},{6,10},{7,11},{8,12}}=>[2,1,5,9,3,10,11,12,4,6,7,8] {{1,5},{2,6},{3,7},{4,8},{9,10},{11,12}}=>[5,6,7,8,1,2,3,4,10,9,12,11] {{1,4},{2,6},{3,7},{5,9},{8,10},{11,12}}=>[4,6,7,1,9,2,3,10,5,8,12,11] {{1,4},{2,5},{3,8},{6,9},{7,10},{11,12}}=>[4,5,8,1,2,9,10,3,6,7,12,11] {{1,3},{2,6},{4,8},{5,9},{7,10},{11,12}}=>[3,6,1,8,9,2,10,4,5,7,12,11] {{1,2},{3,7},{4,8},{5,9},{6,10},{11,12}}=>[2,1,7,8,9,10,3,4,5,6,12,11] {{1,4},{2,6},{3,7},{5,8},{9,11},{10,12}}=>[4,6,7,1,8,2,3,5,11,12,9,10] {{1,2},{3,6},{4,8},{5,9},{7,11},{10,12}}=>[2,1,6,8,9,3,11,4,5,12,7,10] {{1,4},{2,5},{3,6},{7,10},{8,11},{9,12}}=>[4,5,6,1,2,3,10,11,12,7,8,9] {{1,2},{3,6},{4,7},{5,10},{8,11},{9,12}}=>[2,1,6,7,10,3,4,11,12,5,8,9] {{1,3},{2,4},{5,8},{6,10},{7,11},{9,12}}=>[3,4,1,2,8,10,11,5,12,6,7,9] {{1,2},{3,5},{4,8},{6,10},{7,11},{9,12}}=>[2,1,5,8,3,10,11,4,12,6,7,9] {{1,2},{3,4},{5,9},{6,10},{7,11},{8,12}}=>[2,1,4,3,9,10,11,12,5,6,7,8] {{1,4},{2,6},{3,7},{5,8},{9,10},{11,12}}=>[4,6,7,1,8,2,3,5,10,9,12,11] {{1,4},{2,5},{3,7},{6,9},{8,10},{11,12}}=>[4,5,7,1,2,9,3,10,6,8,12,11] {{1,3},{2,6},{4,7},{5,9},{8,10},{11,12}}=>[3,6,1,7,9,2,4,10,5,8,12,11] {{1,3},{2,5},{4,8},{6,9},{7,10},{11,12}}=>[3,5,1,8,2,9,10,4,6,7,12,11] {{1,2},{3,6},{4,8},{5,9},{7,10},{11,12}}=>[2,1,6,8,9,3,10,4,5,7,12,11] {{1,4},{2,5},{3,7},{6,8},{9,11},{10,12}}=>[4,5,7,1,2,8,3,6,11,12,9,10] {{1,3},{2,6},{4,7},{5,8},{9,11},{10,12}}=>[3,6,1,7,8,2,4,5,11,12,9,10] {{1,4},{2,5},{3,6},{7,9},{8,11},{10,12}}=>[4,5,6,1,2,3,9,11,7,12,8,10] {{1,2},{3,6},{4,7},{5,9},{8,11},{10,12}}=>[2,1,6,7,9,3,4,11,5,12,8,10] {{1,3},{2,4},{5,8},{6,9},{7,11},{10,12}}=>[3,4,1,2,8,9,11,5,6,12,7,10] {{1,2},{3,5},{4,8},{6,9},{7,11},{10,12}}=>[2,1,5,8,3,9,11,4,6,12,7,10] {{1,3},{2,5},{4,6},{7,10},{8,11},{9,12}}=>[3,5,1,6,2,4,10,11,12,7,8,9] {{1,3},{2,4},{5,7},{6,10},{8,11},{9,12}}=>[3,4,1,2,7,10,5,11,12,6,8,9] {{1,2},{3,5},{4,7},{6,10},{8,11},{9,12}}=>[2,1,5,7,3,10,4,11,12,6,8,9] {{1,2},{3,4},{5,8},{6,10},{7,11},{9,12}}=>[2,1,4,3,8,10,11,5,12,6,7,9] {{1,6,12},{2,7},{3,8},{4,9},{5,10},{11}}=>[6,7,8,9,10,12,2,3,4,5,11,1] {{1,2,8},{3,9},{4,10},{5,11},{6,12},{7}}=>[2,8,9,10,11,12,7,1,3,4,5,6] {{1,5,7,12},{2},{3,8},{4,9},{6,10},{11}}=>[5,2,8,9,7,10,12,3,4,6,11,1] {{1,2,7,9},{3},{4,10},{5,11},{6,12},{8}}=>[2,7,3,10,11,12,9,8,1,4,5,6] {{1,5,8,12},{2,6},{3},{4,9},{7,10},{11}}=>[5,6,3,9,8,2,10,12,4,7,11,1] {{1,4,7,12},{2,8},{3},{5,9},{6,10},{11}}=>[4,8,3,7,9,10,12,2,5,6,11,1] {{1,2,7,10},{3,8},{4},{5,11},{6,12},{9}}=>[2,7,8,4,11,12,10,3,9,1,5,6] {{1,2,6,9},{3,10},{4},{5,11},{7,12},{8}}=>[2,6,10,4,11,9,12,8,1,3,5,7] {{1,5,9,12},{2,6},{3,7},{4},{8,10},{11}}=>[5,6,7,4,9,2,3,10,12,8,11,1] {{1,4,6,8,12},{2},{3},{5,9},{7,10},{11}}=>[4,2,3,6,9,8,10,12,5,7,11,1] {{1,3,7,12},{2,8},{4,9},{5},{6,10},{11}}=>[3,8,7,9,5,10,12,2,4,6,11,1] {{1,5,11},{2,6,12},{3,7},{4,8},{9},{10}}=>[5,6,7,8,11,12,3,4,9,10,1,2] {{1,2,7,11},{3,8},{4,9},{5},{6,12},{10}}=>[2,7,8,9,5,12,11,3,4,10,1,6] {{1,2,6,8,10},{3},{4},{5,11},{7,12},{9}}=>[2,6,3,4,11,8,12,10,9,1,5,7] {{1,3,9},{2,4,10},{5,11},{6,12},{7},{8}}=>[3,4,9,10,11,12,7,8,1,2,5,6] {{1,2,5,9},{3,10},{4,11},{6},{7,12},{8}}=>[2,5,10,11,9,6,12,8,1,3,4,7] {{1,5,10,12},{2,6},{3,7},{4,8},{9},{11}}=>[5,6,7,8,10,2,3,4,9,12,11,1] {{1,4,6,9,12},{2},{3,7},{5},{8,10},{11}}=>[4,2,7,6,5,9,3,10,12,8,11,1] {{1,4,8,12},{2,5,9},{3},{6},{7,10},{11}}=>[4,5,3,8,9,6,10,12,2,7,11,1] {{1,3,6,8,12},{2},{4,9},{5},{7,10},{11}}=>[3,2,6,9,5,8,10,12,4,7,11,1] {{1,2,7,12},{3,8},{4,9},{5,10},{6},{11}}=>[2,7,8,9,10,6,12,3,4,5,11,1] {{1,4,6,11},{2,12},{3,7},{5,8},{9},{10}}=>[4,12,7,6,8,11,3,5,9,10,1,2] {{1,2,6,8,11},{3},{4,9},{5},{7,12},{10}}=>[2,6,3,9,5,8,12,11,4,10,1,7] {{1,4,10},{2,5,11},{3,6,12},{7},{8},{9}}=>[4,5,6,10,11,12,7,8,9,1,2,3] {{1,2,6,10},{3,7,11},{4},{5},{8,12},{9}}=>[2,6,7,4,5,10,11,12,9,1,3,8] {{1,3,8,10},{2,4},{5,11},{6,12},{7},{9}}=>[3,4,8,2,11,12,7,10,9,1,5,6] {{1,2,5,8,10},{3},{4,11},{6},{7,12},{9}}=>[2,5,3,11,8,6,12,10,9,1,4,7] {{1,2,4,9},{3,10},{5,11},{6,12},{7},{8}}=>[2,4,10,9,11,12,7,8,1,3,5,6] {{1,4,6,10,12},{2},{3,7},{5,8},{9},{11}}=>[4,2,7,6,8,10,3,5,9,12,11,1] {{1,4,7,9,12},{2,5},{3},{6},{8,10},{11}}=>[4,5,3,7,2,6,9,10,12,8,11,1] {{1,3,6,9,12},{2,7},{4},{5},{8,10},{11}}=>[3,7,6,4,5,9,2,10,12,8,11,1] {{1,3,5,8,12},{2,9},{4},{6},{7,10},{11}}=>[3,9,5,4,8,6,10,12,2,7,11,1] {{1,2,6,8,12},{3},{4,9},{5,10},{7},{11}}=>[2,6,3,9,10,8,7,12,4,5,11,1] {{1,4,7,11},{2,5,12},{3},{6,8},{9},{10}}=>[4,5,3,7,12,8,11,6,9,10,1,2] {{1,3,6,11},{2,7,12},{4},{5,8},{9},{10}}=>[3,7,6,4,8,11,12,5,9,10,1,2] {{1,4,9,11},{2,5},{3,6,12},{7},{8},{10}}=>[4,5,6,9,2,12,7,8,11,10,1,3] {{1,2,6,9,11},{3,7},{4},{5},{8,12},{10}}=>[2,6,7,4,5,9,3,12,11,10,1,8] {{1,3,8,11},{2,4,9},{5},{6,12},{7},{10}}=>[3,4,8,9,5,12,7,11,2,10,1,6] {{1,2,5,8,11},{3,9},{4},{6},{7,12},{10}}=>[2,5,9,4,8,6,12,11,3,10,1,7] {{1,3,5,10},{2,11},{4,6,12},{7},{8},{9}}=>[3,11,5,6,10,12,7,8,9,1,2,4] {{1,3,7,10},{2,4,11},{5},{6,12},{8},{9}}=>[3,4,7,11,5,12,10,8,9,1,2,6] {{1,2,5,7,10},{3,11},{4},{6},{8,12},{9}}=>[2,5,11,4,7,6,10,12,9,1,3,8] {{1,2,4,8,10},{3},{5,11},{6,12},{7},{9}}=>[2,4,3,8,11,12,7,10,9,1,5,6] {{1,6},{2,12},{3,7,9,10},{4},{5,8},{11}}=>[6,12,7,4,8,1,9,5,10,3,11,2] {{1,2,8,11},{3},{4,9},{5},{6,10,12},{7}}=>[2,8,3,9,5,10,7,11,4,12,1,6] {{1,5,8},{2,7,9,10},{3,12},{4},{6},{11}}=>[5,7,12,4,8,6,9,1,10,2,11,3] {{1,2,7},{3,9},{4},{5},{6,10,12},{8,11}}=>[2,7,9,4,5,10,1,11,3,12,8,6] {{1,5},{2,8},{3,6},{4,12},{7,9,10},{11}}=>[5,8,6,12,1,3,9,2,10,7,11,4] {{1,4,8},{2,7,9,10},{3,12},{5},{6},{11}}=>[4,7,12,8,5,6,9,1,10,2,11,3] {{1,2,7},{3,10,12},{4,8,11},{5},{6},{9}}=>[2,7,10,8,5,6,1,11,9,12,4,3] {{1,2,6},{3,9},{4},{5,10,12},{7},{8,11}}=>[2,6,9,4,10,1,7,11,3,12,8,5] {{1,5,7},{2,9,10},{3,6},{4,12},{8},{11}}=>[5,9,6,12,7,3,1,8,10,2,11,4] {{1,4,12},{2,6},{3,8},{5},{7,9,10},{11}}=>[4,6,8,12,5,2,9,3,10,7,11,1] {{1,3,12},{2,7},{4,8},{5},{6,9,10},{11}}=>[3,7,12,8,5,9,2,4,10,6,11,1] {{1,5,7,8},{2,11},{3,6,12},{4},{9},{10}}=>[5,11,6,4,7,12,8,1,9,10,2,3] {{1,2,7},{3,11},{4,8},{5},{6,9},{10,12}}=>[2,7,11,8,5,9,1,4,6,12,3,10] {{1,2,6},{3,8,11},{4,10,12},{5},{7},{9}}=>[2,6,8,10,5,1,7,11,9,12,3,4] {{1,3,4},{2,9,12},{5,10},{6},{7,11},{8}}=>[3,9,4,1,10,6,11,8,12,5,7,2] {{1,2,5,10,12},{3,9},{4},{6},{7,11},{8}}=>[2,5,9,4,10,6,11,8,3,12,7,1] {{1,5,7,8},{2,10},{3,6},{4,12},{9},{11}}=>[5,10,6,12,7,3,8,1,9,2,11,4] {{1,4,12},{2,6},{3,9,10},{5,7},{8},{11}}=>[4,6,9,12,7,2,5,8,10,3,11,1] {{1,4,12},{2,8},{3,5,9,10},{6},{7},{11}}=>[4,8,5,12,9,6,7,2,10,3,11,1] {{1,3,8},{2,6,9,10},{4,12},{5},{7},{11}}=>[3,6,8,12,5,9,7,1,10,2,11,4] {{1,2,7},{3,12},{4,8,10},{5},{6,9},{11}}=>[2,7,12,8,5,9,1,10,6,4,11,3] {{1,4},{2,6,12},{3,11},{5,7,8},{9},{10}}=>[4,6,11,1,7,12,8,5,9,10,3,2] {{1,2,6,9},{3,8},{4,11},{5},{7},{10,12}}=>[2,6,8,11,5,9,7,3,1,12,4,10] {{1,4},{2,10},{3,5,6,11},{7},{8,12},{9}}=>[4,10,5,1,6,11,7,12,9,2,3,8] {{1,2,6,11},{3,10,12},{4,7},{5},{8},{9}}=>[2,6,10,7,5,11,4,8,9,12,1,3] {{1,3,4,10},{2,8},{5},{6},{7,11},{9,12}}=>[3,8,4,10,5,6,11,2,12,1,7,9] {{1,2,5},{3,8},{4,10,12},{6},{7,11},{9}}=>[2,5,8,10,1,6,11,3,9,12,7,4] {{1,2,4},{3,9,12},{5,10},{6},{7,11},{8}}=>[2,4,9,1,10,6,11,8,12,5,7,3] {{1,4,12},{2,6},{3,10},{5,7,8},{9},{11}}=>[4,6,10,12,7,2,8,5,9,3,11,1] {{1,4,9,10},{2,7},{3,5,12},{6},{8},{11}}=>[4,7,5,9,12,6,2,8,10,1,11,3] {{1,3,9,10},{2,6},{4,7},{5,12},{8},{11}}=>[3,6,9,7,12,2,4,8,10,1,11,5] {{1,3,8},{2,5,9,10},{4,12},{6},{7},{11}}=>[3,5,8,12,9,6,7,1,10,2,11,4] {{1,2,6,9},{3,8,10},{4,12},{5},{7},{11}}=>[2,6,8,12,5,9,7,10,1,3,11,4] {{1,4,11},{2,7,8},{3,5},{6,12},{9},{10}}=>[4,7,5,11,3,12,8,2,9,10,1,6] {{1,3,11},{2,6,12},{4,7,8},{5},{9},{10}}=>[3,6,11,7,5,12,8,4,9,10,1,2] {{1,4,11},{2,9},{3,5,6},{7},{8,12},{10}}=>[4,9,5,11,6,3,7,12,2,10,1,8] {{1,2,6},{3,9},{4,7},{5,11},{8},{10,12}}=>[2,6,9,7,11,1,4,8,3,12,5,10] {{1,3,4,11},{2,8},{5,9,12},{6},{7},{10}}=>[3,8,4,11,9,6,7,2,12,10,1,5] {{1,2,5,9},{3,8},{4,11},{6},{7},{10,12}}=>[2,5,8,11,9,6,7,3,1,12,4,10] {{1,3,10},{2,5,6,11},{4},{7},{8,12},{9}}=>[3,5,10,4,6,11,7,12,9,1,2,8] {{1,3,4,10},{2,7},{5},{6,11},{8},{9,12}}=>[3,7,4,10,5,11,2,8,12,1,6,9] {{1,2,5},{3,7},{4,10,12},{6,11},{8},{9}}=>[2,5,7,10,1,11,3,8,9,12,6,4] {{1,2,4,10},{3,8},{5},{6},{7,11},{9,12}}=>[2,4,8,10,5,6,11,3,12,1,7,9] {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12}}=>[2,1,10,5,4,7,6,9,8,3,12,11] {{1,3,5,6,7,9,10,11,12},{2,4,8}}=>[3,4,5,8,6,7,9,2,10,11,12,1] {{1,2,5,7,10},{3,4,6,8,9,11,12}}=>[2,5,4,6,7,8,10,9,11,1,12,3] {{1,2,4,5,7,8,10},{3,6,9,11,12}}=>[2,4,6,5,7,9,8,10,11,1,12,3] {{1,2,3,4,7,8},{5,6,9,10,11,12}}=>[2,3,4,7,6,9,8,1,10,11,12,5] {{1,3,7},{2,4,8},{5,6,9,10,11,12}}=>[3,4,7,8,6,9,1,2,10,11,12,5] {{1,3,7},{2,4,6,8,9,11,12},{5,10}}=>[3,4,7,6,10,8,1,9,11,5,12,2] {{1,2,4,5,7,9,10},{3,6,8,11,12}}=>[2,4,6,5,7,8,9,11,10,1,12,3] {{1,2,5,7,10},{3,6,8,11,12},{4,9}}=>[2,5,6,9,7,8,10,11,4,1,12,3] {{1,3,7},{2,5,6,8,10,11,12},{4,9}}=>[3,5,7,9,6,8,1,10,4,11,12,2] {{1,2,3,4,6,7,8,10,12},{5,9,11}}=>[2,3,4,6,9,7,8,10,11,12,5,1] {{1,3,6,7,10,12},{2,4,8},{5,9,11}}=>[3,4,6,8,9,7,10,2,11,12,5,1] {{1,3,6,7,10,12},{2,4,5,8,9,11}}=>[3,4,6,5,8,7,10,9,11,12,2,1] {{1,2,3,4,7,8},{5,9,11},{6,10,12}}=>[2,3,4,7,9,10,8,1,11,12,5,6] {{1,3,7},{2,4,8},{5,9,11},{6,10,12}}=>[3,4,7,8,9,10,1,2,11,12,5,6] {{1,3,7},{2,4,5,8,9,11},{6,10,12}}=>[3,4,7,5,8,10,1,9,11,12,2,6] {{1,3,6,7,10,12},{2,5,8,11},{4,9}}=>[3,5,6,9,8,7,10,11,4,12,2,1] {{1,2,3,5,7,8,11},{4,9},{6,10,12}}=>[2,3,5,9,7,10,8,11,4,12,1,6] {{1,3,7},{2,5,8,11},{4,9},{6,10,12}}=>[3,5,7,9,8,10,1,11,4,12,2,6] {{1,3,4,7,9},{2,5,8,11},{6,10,12}}=>[3,5,4,7,8,10,9,11,1,12,2,6] {{1,2,4,5,7,9,11},{3,8},{6,10,12}}=>[2,4,8,5,7,10,9,3,11,12,1,6] {{1,5,7,11},{2,3,4,6,8,9,10,12}}=>[5,3,4,6,7,8,11,9,10,12,1,2] {{1,2,3,7,8},{4,9},{5,6,10,11,12}}=>[2,3,7,9,6,10,8,1,4,11,12,5] {{1,2,3,4,7,8,9},{5,6,10,11,12}}=>[2,3,4,7,6,10,8,9,1,11,12,5] {{1,2,3,4,6,7,8,9,10,12},{5,11}}=>[2,3,4,6,11,7,8,9,10,12,5,1] {{1,2,4,7,10},{3,5,6,8,9,11,12}}=>[2,4,5,7,6,8,10,9,11,1,12,3] {{1,3,7},{2,5,8,11},{4,6,9,10,12}}=>[3,5,7,6,8,9,1,11,10,12,2,4] {{1,2,3,5,6,7,8,9,11,12},{4,10}}=>[2,3,5,10,6,7,8,9,11,4,12,1] {{1,4,5,7,10,11},{2,3,6,8,9,12}}=>[4,3,6,5,7,8,10,9,12,11,1,2] {{1,5,7,11},{2,3,6,8,9,12},{4,10}}=>[5,3,6,10,7,8,11,9,12,4,1,2] {{1,2,3,7,8},{4,5,6,9,10,11,12}}=>[2,3,7,5,6,9,8,1,10,11,12,4] {{1,2,3,6,7,8,9,12},{4,10},{5,11}}=>[2,3,6,10,11,7,8,9,12,4,5,1] {{1,2,4,5,6,7,8,10,11,12},{3,9}}=>[2,4,9,5,6,7,8,10,3,11,12,1] {{1,3,4,5,7,9,10,11},{2,6,8,12}}=>[3,6,4,5,7,8,9,12,10,11,1,2] {{1,4,5,7,10,11},{2,6,8,12},{3,9}}=>[4,6,9,5,7,8,10,12,3,11,1,2] {{1,5,7,11},{2,6,8,12},{3,9},{4,10}}=>[5,6,9,10,7,8,11,12,3,4,1,2] {{1,2,5,6,7,8,11,12},{3,9},{4,10}}=>[2,5,9,10,6,7,8,11,3,4,12,1] {{1,2,6,7,8,12},{3,9},{4,10},{5,11}}=>[2,6,9,10,11,7,8,12,3,4,5,1] {{1,3,4,5,6,7,9,10,11,12},{2,8}}=>[3,8,4,5,6,7,9,2,10,11,12,1] {{1,4,5,6,7,10,11,12},{2,8},{3,9}}=>[4,8,9,5,6,7,10,2,3,11,12,1] {{1,5,6,7,11,12},{2,8},{3,9},{4,10}}=>[5,8,9,10,6,7,11,2,3,4,12,1] {{1,6,7,12},{2,8},{3,9},{4,10},{5,11}}=>[6,8,9,10,11,7,12,2,3,4,5,1] {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>[7,8,9,10,11,12,1,2,3,4,5,6] {{1,3},{2,4},{5,6},{7,8},{9,10},{11,12}}=>[3,4,1,2,6,5,8,7,10,9,12,11] {{1,2},{3,5},{4,6},{7,8},{9,10},{11,12}}=>[2,1,5,6,3,4,8,7,10,9,12,11] {{1,3},{2,5},{4,6},{7,8},{9,10},{11,12}}=>[3,5,1,6,2,4,8,7,10,9,12,11] {{1,4},{2,5},{3,6},{7,8},{9,10},{11,12}}=>[4,5,6,1,2,3,8,7,10,9,12,11] {{1,2},{3,4},{5,7},{6,8},{9,10},{11,12}}=>[2,1,4,3,7,8,5,6,10,9,12,11] {{1,3},{2,4},{5,7},{6,8},{9,10},{11,12}}=>[3,4,1,2,7,8,5,6,10,9,12,11] {{1,2},{3,5},{4,7},{6,8},{9,10},{11,12}}=>[2,1,5,7,3,8,4,6,10,9,12,11] {{1,3},{2,5},{4,7},{6,8},{9,10},{11,12}}=>[3,5,1,7,2,8,4,6,10,9,12,11] {{1,4},{2,5},{3,7},{6,8},{9,10},{11,12}}=>[4,5,7,1,2,8,3,6,10,9,12,11] {{1,2},{3,6},{4,7},{5,8},{9,10},{11,12}}=>[2,1,6,7,8,3,4,5,10,9,12,11] {{1,3},{2,6},{4,7},{5,8},{9,10},{11,12}}=>[3,6,1,7,8,2,4,5,10,9,12,11] {{1,2},{3,4},{5,6},{7,9},{8,10},{11,12}}=>[2,1,4,3,6,5,9,10,7,8,12,11] {{1,3},{2,4},{5,6},{7,9},{8,10},{11,12}}=>[3,4,1,2,6,5,9,10,7,8,12,11] {{1,2},{3,5},{4,6},{7,9},{8,10},{11,12}}=>[2,1,5,6,3,4,9,10,7,8,12,11] {{1,3},{2,5},{4,6},{7,9},{8,10},{11,12}}=>[3,5,1,6,2,4,9,10,7,8,12,11] {{1,4},{2,5},{3,6},{7,9},{8,10},{11,12}}=>[4,5,6,1,2,3,9,10,7,8,12,11] {{1,2},{3,4},{5,7},{6,9},{8,10},{11,12}}=>[2,1,4,3,7,9,5,10,6,8,12,11] {{1,3},{2,4},{5,7},{6,9},{8,10},{11,12}}=>[3,4,1,2,7,9,5,10,6,8,12,11] {{1,2},{3,5},{4,7},{6,9},{8,10},{11,12}}=>[2,1,5,7,3,9,4,10,6,8,12,11] {{1,3},{2,5},{4,7},{6,9},{8,10},{11,12}}=>[3,5,1,7,2,9,4,10,6,8,12,11] {{1,2},{3,6},{4,7},{5,9},{8,10},{11,12}}=>[2,1,6,7,9,3,4,10,5,8,12,11] {{1,2},{3,4},{5,8},{6,9},{7,10},{11,12}}=>[2,1,4,3,8,9,10,5,6,7,12,11] {{1,3},{2,4},{5,8},{6,9},{7,10},{11,12}}=>[3,4,1,2,8,9,10,5,6,7,12,11] {{1,2},{3,5},{4,8},{6,9},{7,10},{11,12}}=>[2,1,5,8,3,9,10,4,6,7,12,11] {{1,2},{3,4},{5,6},{7,8},{9,11},{10,12}}=>[2,1,4,3,6,5,8,7,11,12,9,10] {{1,3},{2,4},{5,6},{7,8},{9,11},{10,12}}=>[3,4,1,2,6,5,8,7,11,12,9,10] {{1,2},{3,5},{4,6},{7,8},{9,11},{10,12}}=>[2,1,5,6,3,4,8,7,11,12,9,10] {{1,3},{2,5},{4,6},{7,8},{9,11},{10,12}}=>[3,5,1,6,2,4,8,7,11,12,9,10] {{1,4},{2,5},{3,6},{7,8},{9,11},{10,12}}=>[4,5,6,1,2,3,8,7,11,12,9,10] {{1,2},{3,4},{5,7},{6,8},{9,11},{10,12}}=>[2,1,4,3,7,8,5,6,11,12,9,10] {{1,3},{2,4},{5,7},{6,8},{9,11},{10,12}}=>[3,4,1,2,7,8,5,6,11,12,9,10] {{1,2},{3,5},{4,7},{6,8},{9,11},{10,12}}=>[2,1,5,7,3,8,4,6,11,12,9,10] {{1,3},{2,5},{4,7},{6,8},{9,11},{10,12}}=>[3,5,1,7,2,8,4,6,11,12,9,10] {{1,2},{3,6},{4,7},{5,8},{9,11},{10,12}}=>[2,1,6,7,8,3,4,5,11,12,9,10] {{1,2},{3,4},{5,6},{7,9},{8,11},{10,12}}=>[2,1,4,3,6,5,9,11,7,12,8,10] {{1,3},{2,4},{5,6},{7,9},{8,11},{10,12}}=>[3,4,1,2,6,5,9,11,7,12,8,10] {{1,2},{3,5},{4,6},{7,9},{8,11},{10,12}}=>[2,1,5,6,3,4,9,11,7,12,8,10] {{1,3},{2,5},{4,6},{7,9},{8,11},{10,12}}=>[3,5,1,6,2,4,9,11,7,12,8,10] {{1,2},{3,4},{5,7},{6,9},{8,11},{10,12}}=>[2,1,4,3,7,9,5,11,6,12,8,10] {{1,3},{2,4},{5,7},{6,9},{8,11},{10,12}}=>[3,4,1,2,7,9,5,11,6,12,8,10] {{1,2},{3,5},{4,7},{6,9},{8,11},{10,12}}=>[2,1,5,7,3,9,4,11,6,12,8,10] {{1,3},{2,5},{4,7},{6,9},{8,11},{10,12}}=>[3,5,1,7,2,9,4,11,6,12,8,10] {{1,4},{2,5},{3,7},{6,9},{8,11},{10,12}}=>[4,5,7,1,2,9,3,11,6,12,8,10] {{1,3},{2,6},{4,7},{5,9},{8,11},{10,12}}=>[3,6,1,7,9,2,4,11,5,12,8,10] {{1,4},{2,6},{3,7},{5,9},{8,11},{10,12}}=>[4,6,7,1,9,2,3,11,5,12,8,10] {{1,5},{2,6},{3,7},{4,9},{8,11},{10,12}}=>[5,6,7,9,1,2,3,11,4,12,8,10] {{1,2},{3,4},{5,8},{6,9},{7,11},{10,12}}=>[2,1,4,3,8,9,11,5,6,12,7,10] {{1,3},{2,5},{4,8},{6,9},{7,11},{10,12}}=>[3,5,1,8,2,9,11,4,6,12,7,10] {{1,4},{2,5},{3,8},{6,9},{7,11},{10,12}}=>[4,5,8,1,2,9,11,3,6,12,7,10] {{1,3},{2,6},{4,8},{5,9},{7,11},{10,12}}=>[3,6,1,8,9,2,11,4,5,12,7,10] {{1,4},{2,6},{3,8},{5,9},{7,11},{10,12}}=>[4,6,8,1,9,2,11,3,5,12,7,10] {{1,5},{2,6},{3,8},{4,9},{7,11},{10,12}}=>[5,6,8,9,1,2,11,3,4,12,7,10] {{1,3},{2,7},{4,8},{5,9},{6,11},{10,12}}=>[3,7,1,8,9,11,2,4,5,12,6,10] {{1,4},{2,7},{3,8},{5,9},{6,11},{10,12}}=>[4,7,8,1,9,11,2,3,5,12,6,10] {{1,5},{2,7},{3,8},{4,9},{6,11},{10,12}}=>[5,7,8,9,1,11,2,3,4,12,6,10] {{1,6},{2,7},{3,8},{4,9},{5,11},{10,12}}=>[6,7,8,9,11,1,2,3,4,12,5,10] {{1,2},{3,4},{5,6},{7,10},{8,11},{9,12}}=>[2,1,4,3,6,5,10,11,12,7,8,9] {{1,3},{2,4},{5,6},{7,10},{8,11},{9,12}}=>[3,4,1,2,6,5,10,11,12,7,8,9] {{1,2},{3,5},{4,6},{7,10},{8,11},{9,12}}=>[2,1,5,6,3,4,10,11,12,7,8,9] {{1,2},{3,4},{5,7},{6,10},{8,11},{9,12}}=>[2,1,4,3,7,10,5,11,12,6,8,9] {{1,3},{2,5},{4,7},{6,10},{8,11},{9,12}}=>[3,5,1,7,2,10,4,11,12,6,8,9] {{1,4},{2,5},{3,7},{6,10},{8,11},{9,12}}=>[4,5,7,1,2,10,3,11,12,6,8,9] {{1,3},{2,6},{4,7},{5,10},{8,11},{9,12}}=>[3,6,1,7,10,2,4,11,12,5,8,9] {{1,4},{2,6},{3,7},{5,10},{8,11},{9,12}}=>[4,6,7,1,10,2,3,11,12,5,8,9] {{1,5},{2,6},{3,7},{4,10},{8,11},{9,12}}=>[5,6,7,10,1,2,3,11,12,4,8,9] {{1,3},{2,5},{4,8},{6,10},{7,11},{9,12}}=>[3,5,1,8,2,10,11,4,12,6,7,9] {{1,4},{2,5},{3,8},{6,10},{7,11},{9,12}}=>[4,5,8,1,2,10,11,3,12,6,7,9] {{1,3},{2,6},{4,8},{5,10},{7,11},{9,12}}=>[3,6,1,8,10,2,11,4,12,5,7,9] {{1,4},{2,6},{3,8},{5,10},{7,11},{9,12}}=>[4,6,8,1,10,2,11,3,12,5,7,9] {{1,5},{2,6},{3,8},{4,10},{7,11},{9,12}}=>[5,6,8,10,1,2,11,3,12,4,7,9] {{1,3},{2,7},{4,8},{5,10},{6,11},{9,12}}=>[3,7,1,8,10,11,2,4,12,5,6,9] {{1,4},{2,7},{3,8},{5,10},{6,11},{9,12}}=>[4,7,8,1,10,11,2,3,12,5,6,9] {{1,5},{2,7},{3,8},{4,10},{6,11},{9,12}}=>[5,7,8,10,1,11,2,3,12,4,6,9] {{1,6},{2,7},{3,8},{4,10},{5,11},{9,12}}=>[6,7,8,10,11,1,2,3,12,4,5,9] {{1,3},{2,5},{4,9},{6,10},{7,11},{8,12}}=>[3,5,1,9,2,10,11,12,4,6,7,8] {{1,4},{2,5},{3,9},{6,10},{7,11},{8,12}}=>[4,5,9,1,2,10,11,12,3,6,7,8] {{1,3},{2,6},{4,9},{5,10},{7,11},{8,12}}=>[3,6,1,9,10,2,11,12,4,5,7,8] {{1,4},{2,6},{3,9},{5,10},{7,11},{8,12}}=>[4,6,9,1,10,2,11,12,3,5,7,8] {{1,5},{2,6},{3,9},{4,10},{7,11},{8,12}}=>[5,6,9,10,1,2,11,12,3,4,7,8] {{1,3},{2,7},{4,9},{5,10},{6,11},{8,12}}=>[3,7,1,9,10,11,2,12,4,5,6,8] {{1,4},{2,7},{3,9},{5,10},{6,11},{8,12}}=>[4,7,9,1,10,11,2,12,3,5,6,8] {{1,5},{2,7},{3,9},{4,10},{6,11},{8,12}}=>[5,7,9,10,1,11,2,12,3,4,6,8] {{1,6},{2,7},{3,9},{4,10},{5,11},{8,12}}=>[6,7,9,10,11,1,2,12,3,4,5,8] {{1,3},{2,8},{4,9},{5,10},{6,11},{7,12}}=>[3,8,1,9,10,11,12,2,4,5,6,7] {{1,4},{2,8},{3,9},{5,10},{6,11},{7,12}}=>[4,8,9,1,10,11,12,2,3,5,6,7] {{1,5},{2,8},{3,9},{4,10},{6,11},{7,12}}=>[5,8,9,10,1,11,12,2,3,4,6,7] {{1,6},{2,8},{3,9},{4,10},{5,11},{7,12}}=>[6,8,9,10,11,1,12,2,3,4,5,7] {{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>[2,4,3,6,5,8,7,10,9,12,11,1] {{1,3,6,8,10,12},{2,4},{5},{7},{9},{11}}=>[3,4,6,2,5,8,7,10,9,12,11,1] {{1,2,5,8,10,12},{3,6},{4},{7},{9},{11}}=>[2,5,6,4,8,3,7,10,9,12,11,1] {{1,3,5,8,10,12},{2},{4,6},{7},{9},{11}}=>[3,2,5,6,8,4,7,10,9,12,11,1] {{1,4,8,10,12},{2,5},{3,6},{7},{9},{11}}=>[4,5,6,8,2,3,7,10,9,12,11,1] {{1,2,4,7,10,12},{3,8},{5},{6},{9},{11}}=>[2,4,8,7,5,6,10,3,9,12,11,1] {{1,3,7,10,12},{2,4,8},{5},{6},{9},{11}}=>[3,4,7,8,5,6,10,2,9,12,11,1] {{1,2,5,7,10,12},{3},{4,8},{6},{9},{11}}=>[2,5,3,8,7,6,10,4,9,12,11,1] {{1,3,5,7,10,12},{2},{4},{6,8},{9},{11}}=>[3,2,5,4,7,8,10,6,9,12,11,1] {{1,4,7,10,12},{2,5},{3},{6,8},{9},{11}}=>[4,5,3,7,2,8,10,6,9,12,11,1] {{1,2,6,10,12},{3,7},{4,8},{5},{9},{11}}=>[2,6,7,8,5,10,3,4,9,12,11,1] {{1,3,6,10,12},{2,7},{4},{5,8},{9},{11}}=>[3,7,6,4,8,10,2,5,9,12,11,1] {{1,2,4,6,9,12},{3,10},{5},{7},{8},{11}}=>[2,4,10,6,5,9,7,8,12,3,11,1] {{1,3,6,9,12},{2,4,10},{5},{7},{8},{11}}=>[3,4,6,10,5,9,7,8,12,2,11,1] {{1,2,5,9,12},{3,6,10},{4},{7},{8},{11}}=>[2,5,6,4,9,10,7,8,12,3,11,1] {{1,3,5,9,12},{2,10},{4,6},{7},{8},{11}}=>[3,10,5,6,9,4,7,8,12,2,11,1] {{1,4,9,12},{2,5,10},{3,6},{7},{8},{11}}=>[4,5,6,9,10,3,7,8,12,2,11,1] {{1,2,4,7,9,12},{3},{5,10},{6},{8},{11}}=>[2,4,3,7,10,6,9,8,12,5,11,1] {{1,3,7,9,12},{2,4},{5,10},{6},{8},{11}}=>[3,4,7,2,10,6,9,8,12,5,11,1] {{1,2,5,7,9,12},{3},{4},{6,10},{8},{11}}=>[2,5,3,4,7,10,9,8,12,6,11,1] {{1,3,5,7,9,12},{2},{4},{6},{8,10},{11}}=>[3,2,5,4,7,6,9,10,12,8,11,1] {{1,2,6,9,12},{3,7},{4},{5,10},{8},{11}}=>[2,6,7,4,10,9,3,8,12,5,11,1] {{1,2,4,8,12},{3,9},{5,10},{6},{7},{11}}=>[2,4,9,8,10,6,7,12,3,5,11,1] {{1,3,8,12},{2,4,9},{5,10},{6},{7},{11}}=>[3,4,8,9,10,6,7,12,2,5,11,1] {{1,2,5,8,12},{3,9},{4},{6,10},{7},{11}}=>[2,5,9,4,8,10,7,12,3,6,11,1] {{1,2,4,6,8,11},{3,12},{5},{7},{9},{10}}=>[2,4,12,6,5,8,7,11,9,10,1,3] {{1,3,6,8,11},{2,4,12},{5},{7},{9},{10}}=>[3,4,6,12,5,8,7,11,9,10,1,2] {{1,2,5,8,11},{3,6,12},{4},{7},{9},{10}}=>[2,5,6,4,8,12,7,11,9,10,1,3] {{1,3,5,8,11},{2,12},{4,6},{7},{9},{10}}=>[3,12,5,6,8,4,7,11,9,10,1,2] {{1,4,8,11},{2,5,12},{3,6},{7},{9},{10}}=>[4,5,6,8,12,3,7,11,9,10,1,2] {{1,2,4,7,11},{3,8,12},{5},{6},{9},{10}}=>[2,4,8,7,5,6,11,12,9,10,1,3] {{1,3,7,11},{2,4,8,12},{5},{6},{9},{10}}=>[3,4,7,8,5,6,11,12,9,10,1,2] {{1,2,5,7,11},{3,12},{4,8},{6},{9},{10}}=>[2,5,12,8,7,6,11,4,9,10,1,3] {{1,3,5,7,11},{2,12},{4},{6,8},{9},{10}}=>[3,12,5,4,7,8,11,6,9,10,1,2] {{1,2,6,11},{3,7,12},{4,8},{5},{9},{10}}=>[2,6,7,8,5,11,12,4,9,10,1,3] {{1,2,4,6,9,11},{3},{5,12},{7},{8},{10}}=>[2,4,3,6,12,9,7,8,11,10,1,5] {{1,3,6,9,11},{2,4},{5,12},{7},{8},{10}}=>[3,4,6,2,12,9,7,8,11,10,1,5] {{1,2,5,9,11},{3,6},{4,12},{7},{8},{10}}=>[2,5,6,12,9,3,7,8,11,10,1,4] {{1,3,5,9,11},{2},{4,6,12},{7},{8},{10}}=>[3,2,5,6,9,12,7,8,11,10,1,4] {{1,2,4,7,9,11},{3},{5},{6,12},{8},{10}}=>[2,4,3,7,5,12,9,8,11,10,1,6] {{1,3,7,9,11},{2,4},{5},{6,12},{8},{10}}=>[3,4,7,2,5,12,9,8,11,10,1,6] {{1,2,5,7,9,11},{3},{4},{6},{8,12},{10}}=>[2,5,3,4,7,6,9,12,11,10,1,8] {{1,3,5,7,9,11},{2},{4},{6},{8},{10,12}}=>[3,2,5,4,7,6,9,8,11,12,1,10] {{1,4,7,9,11},{2,5},{3},{6},{8},{10,12}}=>[4,5,3,7,2,6,9,8,11,12,1,10] {{1,3,6,9,11},{2,7},{4},{5},{8},{10,12}}=>[3,7,6,4,5,9,2,8,11,12,1,10] {{1,4,6,9,11},{2},{3,7},{5},{8},{10,12}}=>[4,2,7,6,5,9,3,8,11,12,1,10] {{1,5,9,11},{2,6},{3,7},{4},{8},{10,12}}=>[5,6,7,4,9,2,3,8,11,12,1,10] {{1,2,4,8,11},{3,9},{5},{6,12},{7},{10}}=>[2,4,9,8,5,12,7,11,3,10,1,6] {{1,3,5,8,11},{2,9},{4},{6},{7},{10,12}}=>[3,9,5,4,8,6,7,11,2,12,1,10] {{1,4,8,11},{2,5,9},{3},{6},{7},{10,12}}=>[4,5,3,8,9,6,7,11,2,12,1,10] {{1,3,6,8,11},{2},{4,9},{5},{7},{10,12}}=>[3,2,6,9,5,8,7,11,4,12,1,10] {{1,4,6,8,11},{2},{3},{5,9},{7},{10,12}}=>[4,2,3,6,9,8,7,11,5,12,1,10] {{1,5,8,11},{2,6},{3},{4,9},{7},{10,12}}=>[5,6,3,9,8,2,7,11,4,12,1,10] {{1,3,7,11},{2,8},{4,9},{5},{6},{10,12}}=>[3,8,7,9,5,6,11,2,4,12,1,10] {{1,4,7,11},{2,8},{3},{5,9},{6},{10,12}}=>[4,8,3,7,9,6,11,2,5,12,1,10] {{1,5,7,11},{2},{3,8},{4,9},{6},{10,12}}=>[5,2,8,9,7,6,11,3,4,12,1,10] {{1,6,11},{2,7},{3,8},{4,9},{5},{10,12}}=>[6,7,8,9,5,11,2,3,4,12,1,10] {{1,2,4,6,10},{3,11},{5,12},{7},{8},{9}}=>[2,4,11,6,12,10,7,8,9,1,3,5] {{1,3,6,10},{2,4,11},{5,12},{7},{8},{9}}=>[3,4,6,11,12,10,7,8,9,1,2,5] {{1,2,5,10},{3,6,11},{4,12},{7},{8},{9}}=>[2,5,6,12,10,11,7,8,9,1,3,4] {{1,2,4,7,10},{3,11},{5},{6,12},{8},{9}}=>[2,4,11,7,5,12,10,8,9,1,3,6] {{1,3,5,7,10},{2,11},{4},{6},{8},{9,12}}=>[3,11,5,4,7,6,10,8,12,1,2,9] {{1,4,7,10},{2,5,11},{3},{6},{8},{9,12}}=>[4,5,3,7,11,6,10,8,12,1,2,9] {{1,3,6,10},{2,7,11},{4},{5},{8},{9,12}}=>[3,7,6,4,5,10,11,8,12,1,2,9] {{1,4,6,10},{2,11},{3,7},{5},{8},{9,12}}=>[4,11,7,6,5,10,3,8,12,1,2,9] {{1,5,10},{2,6,11},{3,7},{4},{8},{9,12}}=>[5,6,7,4,10,11,3,8,12,1,2,9] {{1,3,5,8,10},{2},{4,11},{6},{7},{9,12}}=>[3,2,5,11,8,6,7,10,12,1,4,9] {{1,4,8,10},{2,5},{3,11},{6},{7},{9,12}}=>[4,5,11,8,2,6,7,10,12,1,3,9] {{1,3,6,8,10},{2},{4},{5,11},{7},{9,12}}=>[3,2,6,4,11,8,7,10,12,1,5,9] {{1,4,6,8,10},{2},{3},{5},{7,11},{9,12}}=>[4,2,3,6,5,8,11,10,12,1,7,9] {{1,5,8,10},{2,6},{3},{4},{7,11},{9,12}}=>[5,6,3,4,8,2,11,10,12,1,7,9] {{1,3,7,10},{2,8},{4},{5,11},{6},{9,12}}=>[3,8,7,4,11,6,10,2,12,1,5,9] {{1,4,7,10},{2,8},{3},{5},{6,11},{9,12}}=>[4,8,3,7,5,11,10,2,12,1,6,9] {{1,5,7,10},{2},{3,8},{4},{6,11},{9,12}}=>[5,2,8,4,7,11,10,3,12,1,6,9] {{1,6,10},{2,7},{3,8},{4},{5,11},{9,12}}=>[6,7,8,4,11,10,2,3,12,1,5,9] {{1,3,5,9},{2,10},{4,11},{6},{7},{8,12}}=>[3,10,5,11,9,6,7,12,1,2,4,8] {{1,4,9},{2,5,10},{3,11},{6},{7},{8,12}}=>[4,5,11,9,10,6,7,12,1,2,3,8] {{1,3,6,9},{2,10},{4},{5,11},{7},{8,12}}=>[3,10,6,4,11,9,7,12,1,2,5,8] {{1,4,6,9},{2,10},{3},{5},{7,11},{8,12}}=>[4,10,3,6,5,9,11,12,1,2,7,8] {{1,5,9},{2,6,10},{3},{4},{7,11},{8,12}}=>[5,6,3,4,9,10,11,12,1,2,7,8] {{1,3,7,9},{2},{4,10},{5,11},{6},{8,12}}=>[3,2,7,10,11,6,9,12,1,4,5,8] {{1,4,7,9},{2},{3,10},{5},{6,11},{8,12}}=>[4,2,10,7,5,11,9,12,1,3,6,8] {{1,5,7,9},{2},{3},{4,10},{6,11},{8,12}}=>[5,2,3,10,7,11,9,12,1,4,6,8] {{1,6,9},{2,7},{3},{4,10},{5,11},{8,12}}=>[6,7,3,10,11,9,2,12,1,4,5,8] {{1,3,8},{2,9},{4,10},{5,11},{6},{7,12}}=>[3,9,8,10,11,6,12,1,2,4,5,7] {{1,4,8},{2,9},{3,10},{5},{6,11},{7,12}}=>[4,9,10,8,5,11,12,1,2,3,6,7] {{1,5,8},{2,9},{3},{4,10},{6,11},{7,12}}=>[5,9,3,10,8,11,12,1,2,4,6,7] {{1,6,8},{2},{3,9},{4,10},{5,11},{7,12}}=>[6,2,9,10,11,8,12,1,3,4,5,7] {{1,2,4,8},{3,6,12},{5,10},{7},{9},{11}}=>[2,4,6,8,10,12,7,1,9,5,11,3] {{1,3,4,8},{2,6,12},{5,10},{7},{9},{11}}=>[3,6,4,8,10,12,7,1,9,5,11,2] {{1,2,5,10},{3,8},{4,6,12},{7},{9},{11}}=>[2,5,8,6,10,12,7,3,9,1,11,4] {{1,3,8},{2,5,6,12},{4,10},{7},{9},{11}}=>[3,5,8,10,6,12,7,1,9,4,11,2] {{1,4,10},{2,8},{3,5,6,12},{7},{9},{11}}=>[4,8,5,10,6,12,7,2,9,1,11,3] {{1,2,4,10},{3,7},{5,8},{6,12},{9},{11}}=>[2,4,7,10,8,12,3,5,9,1,11,6] {{1,3,4,10},{2,7},{5,8},{6,12},{9},{11}}=>[3,7,4,10,8,12,2,5,9,1,11,6] {{1,2,5,12},{3,7},{4,10},{6,8},{9},{11}}=>[2,5,7,10,12,8,3,6,9,4,11,1] {{1,3,7,8},{2,5,12},{4,10},{6},{9},{11}}=>[3,5,7,10,12,6,8,1,9,4,11,2] {{1,4,10},{2,7,8},{3,5,12},{6},{9},{11}}=>[4,7,5,10,12,6,8,2,9,1,11,3] {{1,2,6,8},{3,10},{4,7},{5,12},{9},{11}}=>[2,6,10,7,12,8,4,1,9,3,11,5] {{1,3,10},{2,6},{4,7,8},{5,12},{9},{11}}=>[3,6,10,7,12,2,8,4,9,1,11,5] {{1,2,4,9},{3,6,10},{5,12},{7},{8},{11}}=>[2,4,6,9,12,10,7,8,1,3,11,5] {{1,3,4,9},{2,6,10},{5,12},{7},{8},{11}}=>[3,6,4,9,12,10,7,8,1,2,11,5] {{1,2,5,12},{3,9},{4,6,10},{7},{8},{11}}=>[2,5,9,6,12,10,7,8,3,4,11,1] {{1,3,9},{2,5,6,10},{4,12},{7},{8},{11}}=>[3,5,9,12,6,10,7,8,1,2,11,4] {{1,4,12},{2,9},{3,5,6,10},{7},{8},{11}}=>[4,9,5,12,6,10,7,8,2,3,11,1] {{1,2,4,9},{3,7,10},{5,12},{6},{8},{11}}=>[2,4,7,9,12,6,10,8,1,3,11,5] {{1,3,4,9},{2,7,10},{5,12},{6},{8},{11}}=>[3,7,4,9,12,6,10,8,1,2,11,5] {{1,2,5,12},{3,7},{4,9},{6},{8,10},{11}}=>[2,5,7,9,12,6,3,10,4,8,11,1] {{1,3,7},{2,5,12},{4,9,10},{6},{8},{11}}=>[3,5,7,9,12,6,1,8,10,4,11,2] {{1,2,6},{3,9},{4,7},{5,12},{8,10},{11}}=>[2,6,9,7,12,1,4,10,3,8,11,5] {{1,2,4,12},{3,8},{5,9},{6},{7,10},{11}}=>[2,4,8,12,9,6,10,3,5,7,11,1] {{1,3,4,12},{2,8},{5,9},{6},{7,10},{11}}=>[3,8,4,12,9,6,10,2,5,7,11,1] {{1,2,5,9},{3,8,10},{4,12},{6},{7},{11}}=>[2,5,8,12,9,6,7,10,1,3,11,4] {{1,2,4,8},{3,6},{5,11},{7,12},{9},{10}}=>[2,4,6,8,11,3,12,1,9,10,5,7] {{1,3,4,8},{2,6},{5,11},{7,12},{9},{10}}=>[3,6,4,8,11,2,12,1,9,10,5,7] {{1,2,5,11},{3,8},{4,6},{7,12},{9},{10}}=>[2,5,8,6,11,4,12,3,9,10,1,7] {{1,3,8},{2,5,6},{4,11},{7,12},{9},{10}}=>[3,5,8,11,6,2,12,1,9,10,4,7] {{1,4,11},{2,8},{3,5,6},{7,12},{9},{10}}=>[4,8,5,11,6,3,12,2,9,10,1,7] {{1,2,4,11},{3,7,12},{5,8},{6},{9},{10}}=>[2,4,7,11,8,6,12,5,9,10,1,3] {{1,3,4,11},{2,7,12},{5,8},{6},{9},{10}}=>[3,7,4,11,8,6,12,5,9,10,1,2] {{1,2,5},{3,7,12},{4,11},{6,8},{9},{10}}=>[2,5,7,11,1,8,12,6,9,10,4,3] {{1,3,7,8},{2,5},{4,11},{6,12},{9},{10}}=>[3,5,7,11,2,12,8,1,9,10,4,6] {{1,2,6,8},{3,11},{4,7,12},{5},{9},{10}}=>[2,6,11,7,5,8,12,1,9,10,3,4] {{1,2,4,9},{3,6},{5,11},{7},{8,12},{10}}=>[2,4,6,9,11,3,7,12,1,10,5,8] {{1,3,4,9},{2,6},{5,11},{7},{8,12},{10}}=>[3,6,4,9,11,2,7,12,1,10,5,8] {{1,2,5,11},{3,9},{4,6},{7},{8,12},{10}}=>[2,5,9,6,11,4,7,12,3,10,1,8] {{1,3,9},{2,5,6},{4,11},{7},{8,12},{10}}=>[3,5,9,11,6,2,7,12,1,10,4,8] {{1,2,4,9,12},{3,7},{5,11},{6},{8},{10}}=>[2,4,7,9,11,6,3,8,12,10,5,1] {{1,3,4,9,12},{2,7},{5,11},{6},{8},{10}}=>[3,7,4,9,11,6,2,8,12,10,5,1] {{1,2,5,11},{3,7},{4,9},{6},{8},{10,12}}=>[2,5,7,9,11,6,3,8,4,12,1,10] {{1,3,7},{2,5,11,12},{4,9},{6},{8},{10}}=>[3,5,7,9,11,6,1,8,4,10,12,2] {{1,4,9},{2,7},{3,5,11,12},{6},{8},{10}}=>[4,7,5,9,11,6,2,8,1,10,12,3] {{1,3,9},{2,6},{4,7},{5,11,12},{8},{10}}=>[3,6,9,7,11,2,4,8,1,10,12,5] {{1,4,11,12},{2,6},{3,9},{5,7},{8},{10}}=>[4,6,9,11,7,2,5,8,3,10,12,1] {{1,5,7},{2,9},{3,6},{4,11,12},{8},{10}}=>[5,9,6,11,7,3,1,8,2,10,12,4] {{1,2,4,11},{3,8},{5,9,12},{6},{7},{10}}=>[2,4,8,11,9,6,7,3,12,10,1,5] {{1,3,8},{2,5,9},{4,11,12},{6},{7},{10}}=>[3,5,8,11,9,6,7,1,2,10,12,4] {{1,4,11,12},{2,8},{3,5,9},{6},{7},{10}}=>[4,8,5,11,9,6,7,2,3,10,12,1] {{1,3,8},{2,6,9},{4,11,12},{5},{7},{10}}=>[3,6,8,11,5,9,7,1,2,10,12,4] {{1,4,11,12},{2,6},{3,8},{5},{7,9},{10}}=>[4,6,8,11,5,2,9,3,7,10,12,1] {{1,5},{2,8},{3,6},{4,11,12},{7,9},{10}}=>[5,8,6,11,1,3,9,2,7,10,12,4] {{1,3,11,12},{2,7},{4,8},{5},{6,9},{10}}=>[3,7,11,8,5,9,2,4,6,10,12,1] {{1,4,8},{2,7,9},{3,11,12},{5},{6},{10}}=>[4,7,11,8,5,6,9,1,2,10,12,3] {{1,5,8},{2,7,9},{3,11,12},{4},{6},{10}}=>[5,7,11,4,8,6,9,1,2,10,12,3] {{1,6},{2,11,12},{3,7,9},{4},{5,8},{10}}=>[6,11,7,4,8,1,9,5,3,10,12,2] {{1,2,4,10},{3,6,11},{5},{7},{8,12},{9}}=>[2,4,6,10,5,11,7,12,9,1,3,8] {{1,3,4,10},{2,6,11},{5},{7},{8,12},{9}}=>[3,6,4,10,5,11,7,12,9,1,2,8] {{1,2,5},{3,10},{4,6,11},{7},{8,12},{9}}=>[2,5,10,6,1,11,7,12,9,3,4,8] {{1,2,4,10},{3,7},{5},{6,11},{8},{9,12}}=>[2,4,7,10,5,11,3,8,12,1,6,9] {{1,3,7},{2,5},{4,10},{6,11,12},{8},{9}}=>[3,5,7,10,2,11,1,8,9,4,12,6] {{1,4,10},{2,7},{3,5},{6,11,12},{8},{9}}=>[4,7,5,10,3,11,2,8,9,1,12,6] {{1,3,10},{2,6,11,12},{4,7},{5},{8},{9}}=>[3,6,10,7,5,11,4,8,9,1,12,2] {{1,4},{2,6,11,12},{3,10},{5,7},{8},{9}}=>[4,6,10,1,7,11,5,8,9,3,12,2] {{1,5,7},{2,10},{3,6,11,12},{4},{8},{9}}=>[5,10,6,4,7,11,1,8,9,2,12,3] {{1,3,8},{2,5},{4,10},{6},{7,11,12},{9}}=>[3,5,8,10,2,6,11,1,9,4,12,7] {{1,4,10},{2,8},{3,5},{6},{7,11,12},{9}}=>[4,8,5,10,3,6,11,2,9,1,12,7] {{1,3,8,11,12},{2,6},{4,10},{5},{7},{9}}=>[3,6,8,10,5,2,7,11,9,4,12,1] {{1,4,10},{2,6},{3,8},{5},{7},{9,11,12}}=>[4,6,8,10,5,2,7,3,11,1,12,9] {{1,5},{2,8},{3,6},{4,10},{7},{9,11,12}}=>[5,8,6,10,1,3,7,2,11,4,12,9] {{1,3,10},{2,7},{4,8,11,12},{5},{6},{9}}=>[3,7,10,8,5,6,2,11,9,1,12,4] {{1,4,8},{2,7},{3,10},{5},{6},{9,11,12}}=>[4,7,10,8,5,6,2,1,11,3,12,9] {{1,5,8},{2,7},{3,10},{4},{6},{9,11,12}}=>[5,7,10,4,8,6,2,1,11,3,12,9] {{1,6},{2,10},{3,7},{4},{5,8},{9,11,12}}=>[6,10,7,4,8,1,3,5,11,2,12,9] {{1,3,9},{2,5,10},{4},{6},{7,11,12},{8}}=>[3,5,9,4,10,6,11,8,1,2,12,7] {{1,4},{2,9},{3,5,10},{6},{7,11,12},{8}}=>[4,9,5,1,10,6,11,8,2,3,12,7] {{1,3,9},{2,6},{4},{5,10},{7},{8,11,12}}=>[3,6,9,4,10,2,7,11,1,5,12,8] {{1,4},{2,6},{3,9,11,12},{5,10},{7},{8}}=>[4,6,9,1,10,2,7,8,11,5,12,3] {{1,5,10},{2,9,11,12},{3,6},{4},{7},{8}}=>[5,9,6,4,10,3,7,8,11,1,12,2] {{1,3,9},{2,7},{4},{5},{6,10},{8,11,12}}=>[3,7,9,4,5,10,2,11,1,6,12,8] {{1,4},{2,7},{3,9,11,12},{5},{6,10},{8}}=>[4,7,9,1,5,10,2,8,11,6,12,3] {{1,5},{2,7,10},{3,9,11,12},{4},{6},{8}}=>[5,7,9,4,1,6,10,8,11,2,12,3] {{1,6},{2,9,11,12},{3,7,10},{4},{5},{8}}=>[6,9,7,4,5,1,10,8,11,3,12,2] {{1,3},{2,8,11,12},{4,9},{5},{6,10},{7}}=>[3,8,1,9,5,10,7,11,4,6,12,2] {{1,4,9,11,12},{2,8},{3},{5},{6,10},{7}}=>[4,8,3,9,5,10,7,2,11,6,12,1] {{1,5},{2,8},{3},{4,9,11,12},{6},{7,10}}=>[5,8,3,9,1,6,10,2,11,7,12,4] {{1,6},{2,8},{3},{4},{5,9,11,12},{7,10}}=>[6,8,3,4,9,1,10,2,11,7,12,5] {{1,7,10},{2},{3,8},{4},{5,9,11,12},{6}}=>[7,2,8,4,9,6,10,3,11,1,12,5] {{1,3,4,5,6,7,8,9,10,11,12},{2}}=>[3,2,4,5,6,7,8,9,10,11,12,1] {{1,12},{2,3,4,5,6,7,8,9,10,11}}=>[12,3,4,5,6,7,8,9,10,11,2,1] {{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}}=>[11,10,9,8,7,6,5,4,3,2,1,12] {{1,9},{2,8},{3,7},{4,6},{5},{10,12},{11}}=>[9,8,7,6,5,4,3,2,1,12,11,10] {{1,9,11},{2,8},{3,7},{4,6},{5},{10},{12}}=>[9,8,7,6,5,4,3,2,11,10,1,12] {{1,7},{2,6},{3,5},{4},{8,12},{9,11},{10}}=>[7,6,5,4,3,2,1,12,11,10,9,8] {{1,7},{2,6},{3,5},{4},{8,10,12},{9},{11}}=>[7,6,5,4,3,2,1,10,9,12,11,8] {{1,11},{2,8,10},{3,7},{4,6},{5},{9},{12}}=>[11,8,7,6,5,4,3,10,9,2,1,12] {{1,7,9},{2,6},{3,5},{4},{8},{10,12},{11}}=>[7,6,5,4,3,2,9,8,1,12,11,10] {{1,7,11},{2,6},{3,5},{4},{8,10},{9},{12}}=>[7,6,5,4,3,2,11,10,9,8,1,12] {{1,5},{2,4},{3},{6,12},{7,11},{8,10},{9}}=>[5,4,3,2,1,12,11,10,9,8,7,6] {{1,5},{2,4},{3},{6,10,12},{7,9},{8},{11}}=>[5,4,3,2,1,10,9,8,7,12,11,6] {{1,7,9,11},{2,6},{3,5},{4},{8},{10},{12}}=>[7,6,5,4,3,2,9,8,11,10,1,12] {{1,5},{2,4},{3},{6,12},{7,9,11},{8},{10}}=>[5,4,3,2,1,12,9,8,11,10,7,6] {{1,5},{2,4},{3},{6,8,12},{7},{9,11},{10}}=>[5,4,3,2,1,8,7,12,11,10,9,6] {{1,5},{2,4},{3},{6,8,10,12},{7},{9},{11}}=>[5,4,3,2,1,8,7,10,9,12,11,6] {{1,11},{2,10},{3,7,9},{4,6},{5},{8},{12}}=>[11,10,7,6,5,4,9,8,3,2,1,12] {{1,9},{2,6,8},{3,5},{4},{7},{10,12},{11}}=>[9,6,5,4,3,8,7,2,1,12,11,10] {{1,9,11},{2,6,8},{3,5},{4},{7},{10},{12}}=>[9,6,5,4,3,8,7,2,11,10,1,12] {{1,5,7},{2,4},{3},{6},{8,12},{9,11},{10}}=>[5,4,3,2,7,6,1,12,11,10,9,8] {{1,5,7},{2,4},{3},{6},{8,10,12},{9},{11}}=>[5,4,3,2,7,6,1,10,9,12,11,8] {{1,11},{2,6,10},{3,5},{4},{7,9},{8},{12}}=>[11,6,5,4,3,10,9,8,7,2,1,12] {{1,5,9},{2,4},{3},{6,8},{7},{10,12},{11}}=>[5,4,3,2,9,8,7,6,1,12,11,10] {{1,5,11},{2,4},{3},{6,10},{7,9},{8},{12}}=>[5,4,3,2,11,10,9,8,7,6,1,12] {{1,3},{2},{4,12},{5,11},{6,10},{7,9},{8}}=>[3,2,1,12,11,10,9,8,7,6,5,4] {{1,3},{2},{4,10,12},{5,9},{6,8},{7},{11}}=>[3,2,1,10,9,8,7,6,5,12,11,4] {{1,5,9,11},{2,4},{3},{6,8},{7},{10},{12}}=>[5,4,3,2,9,8,7,6,11,10,1,12] {{1,3},{2},{4,12},{5,9,11},{6,8},{7},{10}}=>[3,2,1,12,9,8,7,6,11,10,5,4] {{1,3},{2},{4,8,12},{5,7},{6},{9,11},{10}}=>[3,2,1,8,7,6,5,12,11,10,9,4] {{1,3},{2},{4,8,10,12},{5,7},{6},{9},{11}}=>[3,2,1,8,7,6,5,10,9,12,11,4] {{1,11},{2,6,8,10},{3,5},{4},{7},{9},{12}}=>[11,6,5,4,3,8,7,10,9,2,1,12] {{1,5,7,9},{2,4},{3},{6},{8},{10,12},{11}}=>[5,4,3,2,7,6,9,8,1,12,11,10] {{1,5,11},{2,4},{3},{6,8,10},{7},{9},{12}}=>[5,4,3,2,11,8,7,10,9,6,1,12] {{1,3},{2},{4,12},{5,11},{6,8,10},{7},{9}}=>[3,2,1,12,11,8,7,10,9,6,5,4] {{1,3},{2},{4,10,12},{5,7,9},{6},{8},{11}}=>[3,2,1,10,7,6,9,8,5,12,11,4] {{1,5,7,11},{2,4},{3},{6},{8,10},{9},{12}}=>[5,4,3,2,7,6,11,10,9,8,1,12] {{1,3},{2},{4,12},{5,7,11},{6},{8,10},{9}}=>[3,2,1,12,7,6,11,10,9,8,5,4] {{1,3},{2},{4,6,12},{5},{7,11},{8,10},{9}}=>[3,2,1,6,5,12,11,10,9,8,7,4] {{1,3},{2},{4,6,10,12},{5},{7,9},{8},{11}}=>[3,2,1,6,5,10,9,8,7,12,11,4] {{1,5,7,9,11},{2,4},{3},{6},{8},{10},{12}}=>[5,4,3,2,7,6,9,8,11,10,1,12] {{1,3},{2},{4,12},{5,7,9,11},{6},{8},{10}}=>[3,2,1,12,7,6,9,8,11,10,5,4] {{1,3},{2},{4,6,12},{5},{7,9,11},{8},{10}}=>[3,2,1,6,5,12,9,8,11,10,7,4] {{1,3},{2},{4,6,8,12},{5},{7},{9,11},{10}}=>[3,2,1,6,5,8,7,12,11,10,9,4] {{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}=>[3,2,1,6,5,8,7,10,9,12,11,4] {{1,11},{2,10},{3,9},{4,6,8},{5},{7},{12}}=>[11,10,9,6,5,8,7,4,3,2,1,12] {{1,9},{2,8},{3,5,7},{4},{6},{10,12},{11}}=>[9,8,5,4,7,6,3,2,1,12,11,10] {{1,9,11},{2,8},{3,5,7},{4},{6},{10},{12}}=>[9,8,5,4,7,6,3,2,11,10,1,12] {{1,7},{2,4,6},{3},{5},{8,12},{9,11},{10}}=>[7,4,3,6,5,2,1,12,11,10,9,8] {{1,7},{2,4,6},{3},{5},{8,10,12},{9},{11}}=>[7,4,3,6,5,2,1,10,9,12,11,8] {{1,11},{2,8,10},{3,5,7},{4},{6},{9},{12}}=>[11,8,5,4,7,6,3,10,9,2,1,12] {{1,7,9},{2,4,6},{3},{5},{8},{10,12},{11}}=>[7,4,3,6,5,2,9,8,1,12,11,10] {{1,7,11},{2,4,6},{3},{5},{8,10},{9},{12}}=>[7,4,3,6,5,2,11,10,9,8,1,12] {{1,3,5},{2},{4},{6,12},{7,11},{8,10},{9}}=>[3,2,5,4,1,12,11,10,9,8,7,6] {{1,3,5},{2},{4},{6,10,12},{7,9},{8},{11}}=>[3,2,5,4,1,10,9,8,7,12,11,6] {{1,7,9,11},{2,4,6},{3},{5},{8},{10},{12}}=>[7,4,3,6,5,2,9,8,11,10,1,12] {{1,3,5},{2},{4},{6,12},{7,9,11},{8},{10}}=>[3,2,5,4,1,12,9,8,11,10,7,6] {{1,3,5},{2},{4},{6,8,12},{7},{9,11},{10}}=>[3,2,5,4,1,8,7,12,11,10,9,6] {{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}=>[3,2,5,4,1,8,7,10,9,12,11,6] {{1,11},{2,10},{3,5,9},{4},{6,8},{7},{12}}=>[11,10,5,4,9,8,7,6,3,2,1,12] {{1,9},{2,4,8},{3},{5,7},{6},{10,12},{11}}=>[9,4,3,8,7,6,5,2,1,12,11,10] {{1,9,11},{2,4,8},{3},{5,7},{6},{10},{12}}=>[9,4,3,8,7,6,5,2,11,10,1,12] {{1,3,7},{2},{4,6},{5},{8,12},{9,11},{10}}=>[3,2,7,6,5,4,1,12,11,10,9,8] {{1,3,7},{2},{4,6},{5},{8,10,12},{9},{11}}=>[3,2,7,6,5,4,1,10,9,12,11,8] {{1,11},{2,4,10},{3},{5,9},{6,8},{7},{12}}=>[11,4,3,10,9,8,7,6,5,2,1,12] {{1,3,9},{2},{4,8},{5,7},{6},{10,12},{11}}=>[3,2,9,8,7,6,5,4,1,12,11,10] {{1,3,11},{2},{4,10},{5,9},{6,8},{7},{12}}=>[3,2,11,10,9,8,7,6,5,4,1,12] {{1},{2,12},{3,11},{4,10},{5,9},{6,8},{7}}=>[1,12,11,10,9,8,7,6,5,4,3,2] {{1},{2,10,12},{3,9},{4,8},{5,7},{6},{11}}=>[1,10,9,8,7,6,5,4,3,12,11,2] {{1,3,9,11},{2},{4,8},{5,7},{6},{10},{12}}=>[3,2,9,8,7,6,5,4,11,10,1,12] {{1},{2,12},{3,9,11},{4,8},{5,7},{6},{10}}=>[1,12,9,8,7,6,5,4,11,10,3,2] {{1},{2,8,12},{3,7},{4,6},{5},{9,11},{10}}=>[1,8,7,6,5,4,3,12,11,10,9,2] {{1},{2,8,10,12},{3,7},{4,6},{5},{9},{11}}=>[1,8,7,6,5,4,3,10,9,12,11,2] {{1,11},{2,4,8,10},{3},{5,7},{6},{9},{12}}=>[11,4,3,8,7,6,5,10,9,2,1,12] {{1,3,7,9},{2},{4,6},{5},{8},{10,12},{11}}=>[3,2,7,6,5,4,9,8,1,12,11,10] {{1,3,11},{2},{4,8,10},{5,7},{6},{9},{12}}=>[3,2,11,8,7,6,5,10,9,4,1,12] {{1},{2,12},{3,11},{4,8,10},{5,7},{6},{9}}=>[1,12,11,8,7,6,5,10,9,4,3,2] {{1},{2,10,12},{3,7,9},{4,6},{5},{8},{11}}=>[1,10,7,6,5,4,9,8,3,12,11,2] {{1,3,7,11},{2},{4,6},{5},{8,10},{9},{12}}=>[3,2,7,6,5,4,11,10,9,8,1,12] {{1},{2,12},{3,7,11},{4,6},{5},{8,10},{9}}=>[1,12,7,6,5,4,11,10,9,8,3,2] {{1},{2,6,12},{3,5},{4},{7,11},{8,10},{9}}=>[1,6,5,4,3,12,11,10,9,8,7,2] {{1},{2,6,10,12},{3,5},{4},{7,9},{8},{11}}=>[1,6,5,4,3,10,9,8,7,12,11,2] {{1,3,7,9,11},{2},{4,6},{5},{8},{10},{12}}=>[3,2,7,6,5,4,9,8,11,10,1,12] {{1},{2,12},{3,7,9,11},{4,6},{5},{8},{10}}=>[1,12,7,6,5,4,9,8,11,10,3,2] {{1},{2,6,12},{3,5},{4},{7,9,11},{8},{10}}=>[1,6,5,4,3,12,9,8,11,10,7,2] {{1},{2,6,8,12},{3,5},{4},{7},{9,11},{10}}=>[1,6,5,4,3,8,7,12,11,10,9,2] {{1},{2,6,8,10,12},{3,5},{4},{7},{9},{11}}=>[1,6,5,4,3,8,7,10,9,12,11,2] {{1,11},{2,10},{3,5,7,9},{4},{6},{8},{12}}=>[11,10,5,4,7,6,9,8,3,2,1,12] {{1,9},{2,4,6,8},{3},{5},{7},{10,12},{11}}=>[9,4,3,6,5,8,7,2,1,12,11,10] {{1,9,11},{2,4,6,8},{3},{5},{7},{10},{12}}=>[9,4,3,6,5,8,7,2,11,10,1,12] {{1,3,5,7},{2},{4},{6},{8,12},{9,11},{10}}=>[3,2,5,4,7,6,1,12,11,10,9,8] {{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}=>[3,2,5,4,7,6,1,10,9,12,11,8] {{1,11},{2,4,10},{3},{5,7,9},{6},{8},{12}}=>[11,4,3,10,7,6,9,8,5,2,1,12] {{1,3,9},{2},{4,6,8},{5},{7},{10,12},{11}}=>[3,2,9,6,5,8,7,4,1,12,11,10] {{1,3,11},{2},{4,10},{5,7,9},{6},{8},{12}}=>[3,2,11,10,7,6,9,8,5,4,1,12] {{1},{2,12},{3,11},{4,10},{5,7,9},{6},{8}}=>[1,12,11,10,7,6,9,8,5,4,3,2] {{1},{2,10,12},{3,9},{4,6,8},{5},{7},{11}}=>[1,10,9,6,5,8,7,4,3,12,11,2] {{1,3,9,11},{2},{4,6,8},{5},{7},{10},{12}}=>[3,2,9,6,5,8,7,4,11,10,1,12] {{1},{2,12},{3,9,11},{4,6,8},{5},{7},{10}}=>[1,12,9,6,5,8,7,4,11,10,3,2] {{1},{2,8,12},{3,5,7},{4},{6},{9,11},{10}}=>[1,8,5,4,7,6,3,12,11,10,9,2] {{1},{2,8,10,12},{3,5,7},{4},{6},{9},{11}}=>[1,8,5,4,7,6,3,10,9,12,11,2] {{1,11},{2,4,6,10},{3},{5},{7,9},{8},{12}}=>[11,4,3,6,5,10,9,8,7,2,1,12] {{1,3,5,9},{2},{4},{6,8},{7},{10,12},{11}}=>[3,2,5,4,9,8,7,6,1,12,11,10] {{1,3,11},{2},{4,6,10},{5},{7,9},{8},{12}}=>[3,2,11,6,5,10,9,8,7,4,1,12] {{1},{2,12},{3,11},{4,6,10},{5},{7,9},{8}}=>[1,12,11,6,5,10,9,8,7,4,3,2] {{1},{2,10,12},{3,5,9},{4},{6,8},{7},{11}}=>[1,10,5,4,9,8,7,6,3,12,11,2] {{1,3,5,11},{2},{4},{6,10},{7,9},{8},{12}}=>[3,2,5,4,11,10,9,8,7,6,1,12] {{1},{2,12},{3,5,11},{4},{6,10},{7,9},{8}}=>[1,12,5,4,11,10,9,8,7,6,3,2] {{1},{2,4,12},{3},{5,11},{6,10},{7,9},{8}}=>[1,4,3,12,11,10,9,8,7,6,5,2] {{1},{2,4,10,12},{3},{5,9},{6,8},{7},{11}}=>[1,4,3,10,9,8,7,6,5,12,11,2] {{1,3,5,9,11},{2},{4},{6,8},{7},{10},{12}}=>[3,2,5,4,9,8,7,6,11,10,1,12] {{1},{2,12},{3,5,9,11},{4},{6,8},{7},{10}}=>[1,12,5,4,9,8,7,6,11,10,3,2] {{1},{2,4,12},{3},{5,9,11},{6,8},{7},{10}}=>[1,4,3,12,9,8,7,6,11,10,5,2] {{1},{2,4,8,12},{3},{5,7},{6},{9,11},{10}}=>[1,4,3,8,7,6,5,12,11,10,9,2] {{1},{2,4,8,10,12},{3},{5,7},{6},{9},{11}}=>[1,4,3,8,7,6,5,10,9,12,11,2] {{1,11},{2,4,6,8,10},{3},{5},{7},{9},{12}}=>[11,4,3,6,5,8,7,10,9,2,1,12] {{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}=>[3,2,5,4,7,6,9,8,1,12,11,10] {{1,3,11},{2},{4,6,8,10},{5},{7},{9},{12}}=>[3,2,11,6,5,8,7,10,9,4,1,12] {{1},{2,12},{3,11},{4,6,8,10},{5},{7},{9}}=>[1,12,11,6,5,8,7,10,9,4,3,2] {{1},{2,10,12},{3,5,7,9},{4},{6},{8},{11}}=>[1,10,5,4,7,6,9,8,3,12,11,2] {{1,3,5,11},{2},{4},{6,8,10},{7},{9},{12}}=>[3,2,5,4,11,8,7,10,9,6,1,12] {{1},{2,12},{3,5,11},{4},{6,8,10},{7},{9}}=>[1,12,5,4,11,8,7,10,9,6,3,2] {{1},{2,4,12},{3},{5,11},{6,8,10},{7},{9}}=>[1,4,3,12,11,8,7,10,9,6,5,2] {{1},{2,4,10,12},{3},{5,7,9},{6},{8},{11}}=>[1,4,3,10,7,6,9,8,5,12,11,2] {{1,3,5,7,11},{2},{4},{6},{8,10},{9},{12}}=>[3,2,5,4,7,6,11,10,9,8,1,12] {{1},{2,12},{3,5,7,11},{4},{6},{8,10},{9}}=>[1,12,5,4,7,6,11,10,9,8,3,2] {{1},{2,4,12},{3},{5,7,11},{6},{8,10},{9}}=>[1,4,3,12,7,6,11,10,9,8,5,2] {{1},{2,4,6,12},{3},{5},{7,11},{8,10},{9}}=>[1,4,3,6,5,12,11,10,9,8,7,2] {{1},{2,4,6,10,12},{3},{5},{7,9},{8},{11}}=>[1,4,3,6,5,10,9,8,7,12,11,2] {{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}=>[3,2,5,4,7,6,9,8,11,10,1,12] {{1},{2,12},{3,5,7,9,11},{4},{6},{8},{10}}=>[1,12,5,4,7,6,9,8,11,10,3,2] {{1},{2,4,12},{3},{5,7,9,11},{6},{8},{10}}=>[1,4,3,12,7,6,9,8,11,10,5,2] {{1},{2,4,6,12},{3},{5},{7,9,11},{8},{10}}=>[1,4,3,6,5,12,9,8,11,10,7,2] {{1},{2,4,6,8,12},{3},{5},{7},{9,11},{10}}=>[1,4,3,6,5,8,7,12,11,10,9,2] {{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>[1,4,3,6,5,8,7,10,9,12,11,2] {{1,2},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9}}=>[2,1,14,13,12,11,10,9,8,7,6,5,4,3] {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7},{13,14}}=>[12,11,10,9,8,7,6,5,4,3,2,1,14,13] {{1,2},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10}}=>[2,1,14,13,12,11,8,7,10,9,6,5,4,3] {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8},{13,14}}=>[12,11,10,9,6,5,8,7,4,3,2,1,14,13] {{1,2},{3,14},{4,13},{5,12},{6,7},{8,11},{9,10}}=>[2,1,14,13,12,7,6,11,10,9,8,5,4,3] {{1,2},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11}}=>[2,1,14,13,12,9,8,7,6,11,10,5,4,3] {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8},{13,14}}=>[12,11,10,5,4,9,8,7,6,3,2,1,14,13] {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9},{13,14}}=>[12,11,10,7,6,5,4,9,8,3,2,1,14,13] {{1,2},{3,14},{4,13},{5,6},{7,12},{8,11},{9,10}}=>[2,1,14,13,6,5,12,11,10,9,8,7,4,3] {{1,2},{3,14},{4,13},{5,12},{6,7},{8,9},{10,11}}=>[2,1,14,13,12,7,6,9,8,11,10,5,4,3] {{1,2},{3,14},{4,13},{5,10},{6,9},{7,8},{11,12}}=>[2,1,14,13,10,9,8,7,6,5,12,11,4,3] {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8},{13,14}}=>[12,11,4,3,10,9,8,7,6,5,2,1,14,13] {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9},{13,14}}=>[12,11,10,5,4,7,6,9,8,3,2,1,14,13] {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10},{13,14}}=>[12,11,8,7,6,5,4,3,10,9,2,1,14,13] {{1,2},{3,14},{4,5},{6,13},{7,12},{8,11},{9,10}}=>[2,1,14,5,4,13,12,11,10,9,8,7,6,3] {{1,2},{3,14},{4,13},{5,6},{7,12},{8,9},{10,11}}=>[2,1,14,13,6,5,12,9,8,11,10,7,4,3] {{1,2},{3,14},{4,13},{5,8},{6,7},{9,12},{10,11}}=>[2,1,14,13,8,7,6,5,12,11,10,9,4,3] {{1,2},{3,14},{4,13},{5,10},{6,7},{8,9},{11,12}}=>[2,1,14,13,10,7,6,9,8,5,12,11,4,3] {{1,2},{3,14},{4,11},{5,10},{6,9},{7,8},{12,13}}=>[2,1,14,11,10,9,8,7,6,5,4,13,12,3] {{1,4},{2,3},{5,14},{6,13},{7,12},{8,11},{9,10}}=>[4,3,2,1,14,13,12,11,10,9,8,7,6,5] {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8},{13,14}}=>[12,3,2,11,10,9,8,7,6,5,4,1,14,13] {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9},{13,14}}=>[12,11,4,3,10,7,6,9,8,5,2,1,14,13] {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9},{13,14}}=>[12,11,6,5,4,3,10,9,8,7,2,1,14,13] {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10},{13,14}}=>[12,11,8,5,4,7,6,3,10,9,2,1,14,13] {{1,10},{2,9},{3,8},{4,7},{5,6},{11,14},{12,13}}=>[10,9,8,7,6,5,4,3,2,1,14,13,12,11] {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11},{13,14}}=>[12,9,8,7,6,5,4,3,2,11,10,1,14,13] {{1,14},{2,3},{4,5},{6,7},{8,9},{10,11},{12,13}}=>[14,3,2,5,4,7,6,9,8,11,10,13,12,1] {{1,14},{2,5},{3,4},{6,7},{8,9},{10,11},{12,13}}=>[14,5,4,3,2,7,6,9,8,11,10,13,12,1] {{1,14},{2,7},{3,4},{5,6},{8,9},{10,11},{12,13}}=>[14,7,4,3,6,5,2,9,8,11,10,13,12,1] {{1,14},{2,3},{4,7},{5,6},{8,9},{10,11},{12,13}}=>[14,3,2,7,6,5,4,9,8,11,10,13,12,1] {{1,14},{2,9},{3,4},{5,6},{7,8},{10,11},{12,13}}=>[14,9,4,3,6,5,8,7,2,11,10,13,12,1] {{1,14},{2,5},{3,4},{6,9},{7,8},{10,11},{12,13}}=>[14,5,4,3,2,9,8,7,6,11,10,13,12,1] {{1,14},{2,3},{4,5},{6,9},{7,8},{10,11},{12,13}}=>[14,3,2,5,4,9,8,7,6,11,10,13,12,1] {{1,14},{2,11},{3,4},{5,6},{7,8},{9,10},{12,13}}=>[14,11,4,3,6,5,8,7,10,9,2,13,12,1] {{1,14},{2,7},{3,4},{5,6},{8,11},{9,10},{12,13}}=>[14,7,4,3,6,5,2,11,10,9,8,13,12,1] {{1,14},{2,3},{4,9},{5,6},{7,8},{10,11},{12,13}}=>[14,3,2,9,6,5,8,7,4,11,10,13,12,1] {{1,14},{2,5},{3,4},{6,7},{8,11},{9,10},{12,13}}=>[14,5,4,3,2,7,6,11,10,9,8,13,12,1] {{1,14},{2,3},{4,5},{6,7},{8,11},{9,10},{12,13}}=>[14,3,2,5,4,7,6,11,10,9,8,13,12,1] {{1,14},{2,3},{4,5},{6,7},{8,9},{10,13},{11,12}}=>[14,3,2,5,4,7,6,9,8,13,12,11,10,1] {{1,14},{2,3},{4,5},{6,7},{8,13},{9,10},{11,12}}=>[14,3,2,5,4,7,6,13,10,9,12,11,8,1] {{1,14},{2,3},{4,5},{6,7},{8,13},{9,12},{10,11}}=>[14,3,2,5,4,7,6,13,12,11,10,9,8,1] {{1,14},{2,3},{4,5},{6,13},{7,8},{9,10},{11,12}}=>[14,3,2,5,4,13,8,7,10,9,12,11,6,1] {{1,14},{2,3},{4,5},{6,9},{7,8},{10,13},{11,12}}=>[14,3,2,5,4,9,8,7,6,13,12,11,10,1] {{1,14},{2,3},{4,5},{6,11},{7,8},{9,10},{12,13}}=>[14,3,2,5,4,11,8,7,10,9,6,13,12,1] {{1,14},{2,3},{4,5},{6,13},{7,8},{9,12},{10,11}}=>[14,3,2,5,4,13,8,7,12,11,10,9,6,1] {{1,14},{2,3},{4,13},{5,6},{7,8},{9,10},{11,12}}=>[14,3,2,13,6,5,8,7,10,9,12,11,4,1] {{1,14},{2,11},{3,10},{4,9},{5,8},{6,7},{12,13}}=>[14,11,10,9,8,7,6,5,4,3,2,13,12,1] {{1,14},{2,11},{3,10},{4,9},{5,6},{7,8},{12,13}}=>[14,11,10,9,6,5,8,7,4,3,2,13,12,1] {{1,14},{2,11},{3,10},{4,7},{5,6},{8,9},{12,13}}=>[14,11,10,7,6,5,4,9,8,3,2,13,12,1] {{1,14},{2,11},{3,10},{4,5},{6,9},{7,8},{12,13}}=>[14,11,10,5,4,9,8,7,6,3,2,13,12,1] {{1,14},{2,11},{3,8},{4,7},{5,6},{9,10},{12,13}}=>[14,11,8,7,6,5,4,3,10,9,2,13,12,1] {{1,14},{2,11},{3,10},{4,5},{6,7},{8,9},{12,13}}=>[14,11,10,5,4,7,6,9,8,3,2,13,12,1] {{1,14},{2,11},{3,4},{5,10},{6,9},{7,8},{12,13}}=>[14,11,4,3,10,9,8,7,6,5,2,13,12,1] {{1,14},{2,9},{3,8},{4,7},{5,6},{10,11},{12,13}}=>[14,9,8,7,6,5,4,3,2,11,10,13,12,1] {{1,14},{2,11},{3,8},{4,5},{6,7},{9,10},{12,13}}=>[14,11,8,5,4,7,6,3,10,9,2,13,12,1] {{1,14},{2,11},{3,6},{4,5},{7,10},{8,9},{12,13}}=>[14,11,6,5,4,3,10,9,8,7,2,13,12,1] {{1,14},{2,11},{3,4},{5,10},{6,7},{8,9},{12,13}}=>[14,11,4,3,10,7,6,9,8,5,2,13,12,1] {{1,14},{2,3},{4,11},{5,10},{6,9},{7,8},{12,13}}=>[14,3,2,11,10,9,8,7,6,5,4,13,12,1] {{1,14},{2,13},{3,4},{5,6},{7,8},{9,12},{10,11}}=>[14,13,4,3,6,5,8,7,12,11,10,9,2,1] {{1,14},{2,13},{3,6},{4,5},{7,8},{9,10},{11,12}}=>[14,13,6,5,4,3,8,7,10,9,12,11,2,1] {{1,14},{2,3},{4,13},{5,6},{7,8},{9,12},{10,11}}=>[14,3,2,13,6,5,8,7,12,11,10,9,4,1] {{1,14},{2,9},{3,4},{5,6},{7,8},{10,13},{11,12}}=>[14,9,4,3,6,5,8,7,2,13,12,11,10,1] {{1,14},{2,5},{3,4},{6,13},{7,8},{9,10},{11,12}}=>[14,5,4,3,2,13,8,7,10,9,12,11,6,1] {{1,14},{2,11},{3,6},{4,5},{7,8},{9,10},{12,13}}=>[14,11,6,5,4,3,8,7,10,9,2,13,12,1] {{1,14},{2,13},{3,12},{4,11},{5,8},{6,7},{9,10}}=>[14,13,12,11,8,7,6,5,10,9,4,3,2,1] {{1,14},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9}}=>[14,13,12,11,10,7,6,9,8,5,4,3,2,1] {{1,14},{2,3},{4,13},{5,12},{6,9},{7,8},{10,11}}=>[14,3,2,13,12,9,8,7,6,11,10,5,4,1] {{1,14},{2,3},{4,13},{5,12},{6,11},{7,8},{9,10}}=>[14,3,2,13,12,11,8,7,10,9,6,5,4,1] {{1,14},{2,13},{3,4},{5,12},{6,9},{7,8},{10,11}}=>[14,13,4,3,12,9,8,7,6,11,10,5,2,1] {{1,14},{2,13},{3,4},{5,12},{6,11},{7,8},{9,10}}=>[14,13,4,3,12,11,8,7,10,9,6,5,2,1] {{1,14},{2,13},{3,10},{4,7},{5,6},{8,9},{11,12}}=>[14,13,10,7,6,5,4,9,8,3,12,11,2,1] {{1,14},{2,13},{3,12},{4,5},{6,9},{7,8},{10,11}}=>[14,13,12,5,4,9,8,7,6,11,10,3,2,1] {{1,14},{2,13},{3,8},{4,7},{5,6},{9,12},{10,11}}=>[14,13,8,7,6,5,4,3,12,11,10,9,2,1] {{1,14},{2,13},{3,10},{4,9},{5,6},{7,8},{11,12}}=>[14,13,10,9,6,5,8,7,4,3,12,11,2,1] {{1,14},{2,13},{3,12},{4,7},{5,6},{8,11},{9,10}}=>[14,13,12,7,6,5,4,11,10,9,8,3,2,1] {{1,14},{2,13},{3,12},{4,5},{6,11},{7,8},{9,10}}=>[14,13,12,5,4,11,8,7,10,9,6,3,2,1] {{1,14},{2,13},{3,4},{5,6},{7,8},{9,10},{11,12}}=>[14,13,4,3,6,5,8,7,10,9,12,11,2,1] {{1,14},{2,13},{3,4},{5,6},{7,12},{8,11},{9,10}}=>[14,13,4,3,6,5,12,11,10,9,8,7,2,1] {{1,14},{2,13},{3,12},{4,11},{5,6},{7,8},{9,10}}=>[14,13,12,11,6,5,8,7,10,9,4,3,2,1] {{1,14},{2,13},{3,12},{4,5},{6,7},{8,9},{10,11}}=>[14,13,12,5,4,7,6,9,8,11,10,3,2,1] {{1,14},{2,3},{4,5},{6,13},{7,12},{8,9},{10,11}}=>[14,3,2,5,4,13,12,9,8,11,10,7,6,1] {{1,14},{2,3},{4,13},{5,12},{6,11},{7,10},{8,9}}=>[14,3,2,13,12,11,10,9,8,7,6,5,4,1] {{1,14},{2,13},{3,4},{5,12},{6,11},{7,10},{8,9}}=>[14,13,4,3,12,11,10,9,8,7,6,5,2,1] {{1,14},{2,13},{3,10},{4,9},{5,8},{6,7},{11,12}}=>[14,13,10,9,8,7,6,5,4,3,12,11,2,1] {{1,14},{2,13},{3,12},{4,5},{6,11},{7,10},{8,9}}=>[14,13,12,5,4,11,10,9,8,7,6,3,2,1] {{1,14},{2,13},{3,12},{4,9},{5,8},{6,7},{10,11}}=>[14,13,12,9,8,7,6,5,4,11,10,3,2,1] {{1,14},{2,13},{3,12},{4,11},{5,6},{7,10},{8,9}}=>[14,13,12,11,6,5,10,9,8,7,4,3,2,1] {{1,14},{2,13},{3,10},{4,5},{6,9},{7,8},{11,12}}=>[14,13,10,5,4,9,8,7,6,3,12,11,2,1] {{1,14},{2,13},{3,4},{5,6},{7,12},{8,9},{10,11}}=>[14,13,4,3,6,5,12,9,8,11,10,7,2,1] {{1,14},{2,13},{3,4},{5,6},{7,10},{8,9},{11,12}}=>[14,13,4,3,6,5,10,9,8,7,12,11,2,1] {{1,14},{2,3},{4,13},{5,6},{7,12},{8,9},{10,11}}=>[14,3,2,13,6,5,12,9,8,11,10,7,4,1] {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8}}=>[14,13,12,11,10,9,8,7,6,5,4,3,2,1] {{1,14},{2,13},{3,12},{4,9},{5,6},{7,8},{10,11}}=>[14,13,12,9,6,5,8,7,4,11,10,3,2,1] {{1,14},{2,13},{3,4},{5,12},{6,7},{8,9},{10,11}}=>[14,13,4,3,12,7,6,9,8,11,10,5,2,1] {{1,14},{2,3},{4,11},{5,6},{7,10},{8,9},{12,13}}=>[14,3,2,11,6,5,10,9,8,7,4,13,12,1] {{1,14},{2,7},{3,6},{4,5},{8,13},{9,12},{10,11}}=>[14,7,6,5,4,3,2,13,12,11,10,9,8,1] {{1,14},{2,9},{3,8},{4,7},{5,6},{10,13},{11,12}}=>[14,9,8,7,6,5,4,3,2,13,12,11,10,1] {{1,14},{2,7},{3,6},{4,5},{8,13},{9,10},{11,12}}=>[14,7,6,5,4,3,2,13,10,9,12,11,8,1] {{1,14},{2,7},{3,4},{5,6},{8,13},{9,12},{10,11}}=>[14,7,4,3,6,5,2,13,12,11,10,9,8,1] {{1,14},{2,9},{3,8},{4,5},{6,7},{10,13},{11,12}}=>[14,9,8,5,4,7,6,3,2,13,12,11,10,1] {{1,14},{2,5},{3,4},{6,13},{7,12},{8,11},{9,10}}=>[14,5,4,3,2,13,12,11,10,9,8,7,6,1] {{1,14},{2,7},{3,6},{4,5},{8,9},{10,13},{11,12}}=>[14,7,6,5,4,3,2,9,8,13,12,11,10,1] {{1,14},{2,5},{3,4},{6,7},{8,13},{9,12},{10,11}}=>[14,5,4,3,2,7,6,13,12,11,10,9,8,1] {{1,14},{2,7},{3,4},{5,6},{8,13},{9,10},{11,12}}=>[14,7,4,3,6,5,2,13,10,9,12,11,8,1] {{1,14},{2,7},{3,6},{4,5},{8,11},{9,10},{12,13}}=>[14,7,6,5,4,3,2,11,10,9,8,13,12,1] {{1,14},{2,3},{4,7},{5,6},{8,13},{9,12},{10,11}}=>[14,3,2,7,6,5,4,13,12,11,10,9,8,1] {{1,14},{2,3},{4,13},{5,12},{6,7},{8,11},{9,10}}=>[14,3,2,13,12,7,6,11,10,9,8,5,4,1] {{1,14},{2,3},{4,13},{5,10},{6,9},{7,8},{11,12}}=>[14,3,2,13,10,9,8,7,6,5,12,11,4,1] {{1,14},{2,3},{4,13},{5,12},{6,7},{8,9},{10,11}}=>[14,3,2,13,12,7,6,9,8,11,10,5,4,1] {{1,14},{2,3},{4,13},{5,6},{7,12},{8,11},{9,10}}=>[14,3,2,13,6,5,12,11,10,9,8,7,4,1] {{1,14},{2,3},{4,13},{5,10},{6,7},{8,9},{11,12}}=>[14,3,2,13,10,7,6,9,8,5,12,11,4,1] {{1,14},{2,3},{4,13},{5,8},{6,7},{9,12},{10,11}}=>[14,3,2,13,8,7,6,5,12,11,10,9,4,1] {{1,14},{2,5},{3,4},{6,13},{7,12},{8,9},{10,11}}=>[14,5,4,3,2,13,12,9,8,11,10,7,6,1] {{1,14},{2,3},{4,5},{6,13},{7,12},{8,11},{9,10}}=>[14,3,2,5,4,13,12,11,10,9,8,7,6,1] {{1,14},{2,9},{3,8},{4,5},{6,7},{10,11},{12,13}}=>[14,9,8,5,4,7,6,3,2,11,10,13,12,1] {{1,14},{2,11},{3,4},{5,8},{6,7},{9,10},{12,13}}=>[14,11,4,3,8,7,6,5,10,9,2,13,12,1] {{1,14},{2,11},{3,4},{5,6},{7,10},{8,9},{12,13}}=>[14,11,4,3,6,5,10,9,8,7,2,13,12,1] {{1,14},{2,3},{4,11},{5,10},{6,7},{8,9},{12,13}}=>[14,3,2,11,10,7,6,9,8,5,4,13,12,1] {{1,14},{2,9},{3,6},{4,5},{7,8},{10,13},{11,12}}=>[14,9,6,5,4,3,8,7,2,13,12,11,10,1] {{1,14},{2,9},{3,4},{5,8},{6,7},{10,13},{11,12}}=>[14,9,4,3,8,7,6,5,2,13,12,11,10,1] {{1,14},{2,3},{4,13},{5,8},{6,7},{9,10},{11,12}}=>[14,3,2,13,8,7,6,5,10,9,12,11,4,1] {{1,14},{2,5},{3,4},{6,13},{7,10},{8,9},{11,12}}=>[14,5,4,3,2,13,10,9,8,7,12,11,6,1] {{1,14},{2,3},{4,13},{5,6},{7,10},{8,9},{11,12}}=>[14,3,2,13,6,5,10,9,8,7,12,11,4,1] {{1,14},{2,5},{3,4},{6,13},{7,8},{9,12},{10,11}}=>[14,5,4,3,2,13,8,7,12,11,10,9,6,1] {{1,14},{2,7},{3,6},{4,5},{8,9},{10,11},{12,13}}=>[14,7,6,5,4,3,2,9,8,11,10,13,12,1] {{1,14},{2,9},{3,6},{4,5},{7,8},{10,11},{12,13}}=>[14,9,6,5,4,3,8,7,2,11,10,13,12,1] {{1,14},{2,3},{4,9},{5,8},{6,7},{10,11},{12,13}}=>[14,3,2,9,8,7,6,5,4,11,10,13,12,1] {{1,14},{2,9},{3,4},{5,8},{6,7},{10,11},{12,13}}=>[14,9,4,3,8,7,6,5,2,11,10,13,12,1] {{1,14},{2,3},{4,7},{5,6},{8,11},{9,10},{12,13}}=>[14,3,2,7,6,5,4,11,10,9,8,13,12,1] {{1,14},{2,5},{3,4},{6,11},{7,8},{9,10},{12,13}}=>[14,5,4,3,2,11,8,7,10,9,6,13,12,1] {{1,14},{2,3},{4,11},{5,6},{7,8},{9,10},{12,13}}=>[14,3,2,11,6,5,8,7,10,9,4,13,12,1] {{1,14},{2,3},{4,11},{5,8},{6,7},{9,10},{12,13}}=>[14,3,2,11,8,7,6,5,10,9,4,13,12,1] {{1,14},{2,3},{4,5},{6,11},{7,10},{8,9},{12,13}}=>[14,3,2,5,4,11,10,9,8,7,6,13,12,1] {{1,14},{2,5},{3,4},{6,11},{7,10},{8,9},{12,13}}=>[14,5,4,3,2,11,10,9,8,7,6,13,12,1] {{1,14},{2,5},{3,4},{6,7},{8,9},{10,13},{11,12}}=>[14,5,4,3,2,7,6,9,8,13,12,11,10,1] {{1,14},{2,3},{4,7},{5,6},{8,9},{10,13},{11,12}}=>[14,3,2,7,6,5,4,9,8,13,12,11,10,1] {{1,14},{2,7},{3,4},{5,6},{8,9},{10,13},{11,12}}=>[14,7,4,3,6,5,2,9,8,13,12,11,10,1] {{1,14},{2,5},{3,4},{6,9},{7,8},{10,13},{11,12}}=>[14,5,4,3,2,9,8,7,6,13,12,11,10,1] {{1,14},{2,3},{4,9},{5,6},{7,8},{10,13},{11,12}}=>[14,3,2,9,6,5,8,7,4,13,12,11,10,1] {{1,14},{2,3},{4,9},{5,8},{6,7},{10,13},{11,12}}=>[14,3,2,9,8,7,6,5,4,13,12,11,10,1] {{1,14},{2,5},{3,4},{6,7},{8,13},{9,10},{11,12}}=>[14,5,4,3,2,7,6,13,10,9,12,11,8,1] {{1,14},{2,3},{4,7},{5,6},{8,13},{9,10},{11,12}}=>[14,3,2,7,6,5,4,13,10,9,12,11,8,1] {{1,14},{2,13},{3,4},{5,8},{6,7},{9,10},{11,12}}=>[14,13,4,3,8,7,6,5,10,9,12,11,2,1] {{1,14},{2,13},{3,8},{4,5},{6,7},{9,10},{11,12}}=>[14,13,8,5,4,7,6,3,10,9,12,11,2,1] {{1,14},{2,13},{3,8},{4,7},{5,6},{9,10},{11,12}}=>[14,13,8,7,6,5,4,3,10,9,12,11,2,1] {{1,14},{2,3},{4,5},{6,13},{7,10},{8,9},{11,12}}=>[14,3,2,5,4,13,10,9,8,7,12,11,6,1] {{1,14},{2,13},{3,6},{4,5},{7,10},{8,9},{11,12}}=>[14,13,6,5,4,3,10,9,8,7,12,11,2,1] {{1,14},{2,13},{3,4},{5,10},{6,7},{8,9},{11,12}}=>[14,13,4,3,10,7,6,9,8,5,12,11,2,1] {{1,14},{2,13},{3,10},{4,5},{6,7},{8,9},{11,12}}=>[14,13,10,5,4,7,6,9,8,3,12,11,2,1] {{1,14},{2,13},{3,4},{5,10},{6,9},{7,8},{11,12}}=>[14,13,4,3,10,9,8,7,6,5,12,11,2,1] {{1,14},{2,13},{3,6},{4,5},{7,8},{9,12},{10,11}}=>[14,13,6,5,4,3,8,7,12,11,10,9,2,1] {{1,14},{2,13},{3,4},{5,8},{6,7},{9,12},{10,11}}=>[14,13,4,3,8,7,6,5,12,11,10,9,2,1] {{1,14},{2,13},{3,8},{4,5},{6,7},{9,12},{10,11}}=>[14,13,8,5,4,7,6,3,12,11,10,9,2,1] {{1,14},{2,13},{3,6},{4,5},{7,12},{8,9},{10,11}}=>[14,13,6,5,4,3,12,9,8,11,10,7,2,1] {{1,14},{2,13},{3,12},{4,7},{5,6},{8,9},{10,11}}=>[14,13,12,7,6,5,4,9,8,11,10,3,2,1] {{1,14},{2,13},{3,6},{4,5},{7,12},{8,11},{9,10}}=>[14,13,6,5,4,3,12,11,10,9,8,7,2,1] {{1,14},{2,13},{3,4},{5,12},{6,7},{8,11},{9,10}}=>[14,13,4,3,12,7,6,11,10,9,8,5,2,1] {{1,14},{2,13},{3,12},{4,5},{6,7},{8,11},{9,10}}=>[14,13,12,5,4,7,6,11,10,9,8,3,2,1] {{1,2},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10}}=>[2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3] {{1,14},{2,13},{3,12},{4,11},{5,10},{6,9},{7,8},{15,16}}=>[14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15] {{1,2},{3,16},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11}}=>[2,1,16,15,14,13,12,9,8,11,10,7,6,5,4,3] {{1,14},{2,13},{3,12},{4,11},{5,10},{6,7},{8,9},{15,16}}=>[14,13,12,11,10,7,6,9,8,5,4,3,2,1,16,15] {{1,2},{3,16},{4,15},{5,14},{6,13},{7,8},{9,12},{10,11}}=>[2,1,16,15,14,13,8,7,12,11,10,9,6,5,4,3] {{1,2},{3,16},{4,15},{5,14},{6,13},{7,10},{8,9},{11,12}}=>[2,1,16,15,14,13,10,9,8,7,12,11,6,5,4,3] {{1,14},{2,13},{3,12},{4,11},{5,6},{7,10},{8,9},{15,16}}=>[14,13,12,11,6,5,10,9,8,7,4,3,2,1,16,15] {{1,14},{2,13},{3,12},{4,11},{5,8},{6,7},{9,10},{15,16}}=>[14,13,12,11,8,7,6,5,10,9,4,3,2,1,16,15] {{1,2},{3,16},{4,15},{5,14},{6,7},{8,13},{9,12},{10,11}}=>[2,1,16,15,14,7,6,13,12,11,10,9,8,5,4,3] {{1,2},{3,16},{4,15},{5,14},{6,13},{7,8},{9,10},{11,12}}=>[2,1,16,15,14,13,8,7,10,9,12,11,6,5,4,3] {{1,2},{3,16},{4,15},{5,14},{6,11},{7,10},{8,9},{12,13}}=>[2,1,16,15,14,11,10,9,8,7,6,13,12,5,4,3] {{1,14},{2,13},{3,12},{4,5},{6,11},{7,10},{8,9},{15,16}}=>[14,13,12,5,4,11,10,9,8,7,6,3,2,1,16,15] {{1,14},{2,13},{3,12},{4,11},{5,6},{7,8},{9,10},{15,16}}=>[14,13,12,11,6,5,8,7,10,9,4,3,2,1,16,15] {{1,14},{2,13},{3,12},{4,9},{5,8},{6,7},{10,11},{15,16}}=>[14,13,12,9,8,7,6,5,4,11,10,3,2,1,16,15] {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11}}=>[2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,10},{8,9},{17,18}}=>[16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17] {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,10},{11,12}}=>[2,1,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3] {{1,16},{2,15},{3,14},{4,13},{5,12},{6,11},{7,8},{9,10},{17,18}}=>[16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,18,17] {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,9},{10,13},{11,12}}=>[2,1,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3] {{1,2},{3,18},{4,17},{5,16},{6,15},{7,14},{8,11},{9,10},{12,13}}=>[2,1,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3] {{1,16},{2,15},{3,14},{4,13},{5,12},{6,7},{8,11},{9,10},{17,18}}=>[16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,18,17] {{1,16},{2,15},{3,14},{4,13},{5,12},{6,9},{7,8},{10,11},{17,18}}=>[16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,18,17] {{1,2},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,13},{11,12}}=>[2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,11},{9,10},{19,20}}=>[18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19] {{1,2},{3,20},{4,19},{5,18},{6,17},{7,16},{8,15},{9,14},{10,11},{12,13}}=>[2,1,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3] {{1,18},{2,17},{3,16},{4,15},{5,14},{6,13},{7,12},{8,9},{10,11},{19,20}}=>[18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,20,19] {{1,2},{3,22},{4,21},{5,20},{6,19},{7,18},{8,17},{9,16},{10,15},{11,14},{12,13}}=>[2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] {{1,20},{2,19},{3,18},{4,17},{5,16},{6,15},{7,14},{8,13},{9,12},{10,11},{21,22}}=>[20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22,21]
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Properties
injective, graded
Sage code
def mapping(elt):
    return elt.to_permutation()
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey