Identifier
Mp00138: Dyck paths —to noncrossing partition⟶ Set partitions
Mp00080: Set partitions —to permutation⟶ Permutations
Images
=>
Cc0005;cc-rep-0Cc0009;cc-rep-1
[1,0]=>{{1}}=>[1] [1,0,1,0]=>{{1},{2}}=>[1,2] [1,1,0,0]=>{{1,2}}=>[2,1] [1,0,1,0,1,0]=>{{1},{2},{3}}=>[1,2,3] [1,0,1,1,0,0]=>{{1},{2,3}}=>[1,3,2] [1,1,0,0,1,0]=>{{1,2},{3}}=>[2,1,3] [1,1,0,1,0,0]=>{{1,3},{2}}=>[3,2,1] [1,1,1,0,0,0]=>{{1,2,3}}=>[2,3,1] [1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4}}=>[1,2,3,4] [1,0,1,0,1,1,0,0]=>{{1},{2},{3,4}}=>[1,2,4,3] [1,0,1,1,0,0,1,0]=>{{1},{2,3},{4}}=>[1,3,2,4] [1,0,1,1,0,1,0,0]=>{{1},{2,4},{3}}=>[1,4,3,2] [1,0,1,1,1,0,0,0]=>{{1},{2,3,4}}=>[1,3,4,2] [1,1,0,0,1,0,1,0]=>{{1,2},{3},{4}}=>[2,1,3,4] [1,1,0,0,1,1,0,0]=>{{1,2},{3,4}}=>[2,1,4,3] [1,1,0,1,0,0,1,0]=>{{1,3},{2},{4}}=>[3,2,1,4] [1,1,0,1,0,1,0,0]=>{{1,4},{2},{3}}=>[4,2,3,1] [1,1,0,1,1,0,0,0]=>{{1,3,4},{2}}=>[3,2,4,1] [1,1,1,0,0,0,1,0]=>{{1,2,3},{4}}=>[2,3,1,4] [1,1,1,0,0,1,0,0]=>{{1,4},{2,3}}=>[4,3,2,1] [1,1,1,0,1,0,0,0]=>{{1,2,4},{3}}=>[2,4,3,1] [1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[2,3,4,1] [1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5}}=>[1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0]=>{{1},{2},{3},{4,5}}=>[1,2,3,5,4] [1,0,1,0,1,1,0,0,1,0]=>{{1},{2},{3,4},{5}}=>[1,2,4,3,5] [1,0,1,0,1,1,0,1,0,0]=>{{1},{2},{3,5},{4}}=>[1,2,5,4,3] [1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3,4,5}}=>[1,2,4,5,3] [1,0,1,1,0,0,1,0,1,0]=>{{1},{2,3},{4},{5}}=>[1,3,2,4,5] [1,0,1,1,0,0,1,1,0,0]=>{{1},{2,3},{4,5}}=>[1,3,2,5,4] [1,0,1,1,0,1,0,0,1,0]=>{{1},{2,4},{3},{5}}=>[1,4,3,2,5] [1,0,1,1,0,1,0,1,0,0]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2] [1,0,1,1,0,1,1,0,0,0]=>{{1},{2,4,5},{3}}=>[1,4,3,5,2] [1,0,1,1,1,0,0,0,1,0]=>{{1},{2,3,4},{5}}=>[1,3,4,2,5] [1,0,1,1,1,0,0,1,0,0]=>{{1},{2,5},{3,4}}=>[1,5,4,3,2] [1,0,1,1,1,0,1,0,0,0]=>{{1},{2,3,5},{4}}=>[1,3,5,4,2] [1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[1,3,4,5,2] [1,1,0,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5}}=>[2,1,3,4,5] [1,1,0,0,1,0,1,1,0,0]=>{{1,2},{3},{4,5}}=>[2,1,3,5,4] [1,1,0,0,1,1,0,0,1,0]=>{{1,2},{3,4},{5}}=>[2,1,4,3,5] [1,1,0,0,1,1,0,1,0,0]=>{{1,2},{3,5},{4}}=>[2,1,5,4,3] [1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4,5}}=>[2,1,4,5,3] [1,1,0,1,0,0,1,0,1,0]=>{{1,3},{2},{4},{5}}=>[3,2,1,4,5] [1,1,0,1,0,0,1,1,0,0]=>{{1,3},{2},{4,5}}=>[3,2,1,5,4] [1,1,0,1,0,1,0,0,1,0]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5] [1,1,0,1,0,1,0,1,0,0]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1] [1,1,0,1,0,1,1,0,0,0]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1] [1,1,0,1,1,0,0,0,1,0]=>{{1,3,4},{2},{5}}=>[3,2,4,1,5] [1,1,0,1,1,0,0,1,0,0]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1] [1,1,0,1,1,0,1,0,0,0]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1] [1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[3,2,4,5,1] [1,1,1,0,0,0,1,0,1,0]=>{{1,2,3},{4},{5}}=>[2,3,1,4,5] [1,1,1,0,0,0,1,1,0,0]=>{{1,2,3},{4,5}}=>[2,3,1,5,4] [1,1,1,0,0,1,0,0,1,0]=>{{1,4},{2,3},{5}}=>[4,3,2,1,5] [1,1,1,0,0,1,0,1,0,0]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1] [1,1,1,0,0,1,1,0,0,0]=>{{1,4,5},{2,3}}=>[4,3,2,5,1] [1,1,1,0,1,0,0,0,1,0]=>{{1,2,4},{3},{5}}=>[2,4,3,1,5] [1,1,1,0,1,0,0,1,0,0]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1] [1,1,1,0,1,0,1,0,0,0]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1] [1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[2,4,3,5,1] [1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[2,3,4,1,5] [1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[5,3,4,2,1] [1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[2,5,4,3,1] [1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[2,3,5,4,1] [1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[2,3,4,5,1] [1,0,1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,0]=>{{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5] [1,0,1,0,1,0,1,1,0,0,1,0]=>{{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6] [1,0,1,0,1,0,1,1,0,1,0,0]=>{{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4] [1,0,1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4] [1,0,1,0,1,1,0,0,1,0,1,0]=>{{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6] [1,0,1,0,1,1,0,0,1,1,0,0]=>{{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5] [1,0,1,0,1,1,0,1,0,0,1,0]=>{{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6] [1,0,1,0,1,1,0,1,0,1,0,0]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3] [1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3] [1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6] [1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3] [1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3] [1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3] [1,0,1,1,0,0,1,0,1,0,1,0]=>{{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6] [1,0,1,1,0,0,1,0,1,1,0,0]=>{{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5] [1,0,1,1,0,0,1,1,0,0,1,0]=>{{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6] [1,0,1,1,0,0,1,1,0,1,0,0]=>{{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4] [1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4] [1,0,1,1,0,1,0,0,1,0,1,0]=>{{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6] [1,0,1,1,0,1,0,0,1,1,0,0]=>{{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5] [1,0,1,1,0,1,0,1,0,0,1,0]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6] [1,0,1,1,0,1,0,1,0,1,0,0]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2] [1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2] [1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6] [1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2] [1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2] [1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2] [1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6] [1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5] [1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6] [1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2] [1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2] [1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6] [1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2] [1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2] [1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2] [1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6] [1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2] [1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2] [1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2] [1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[1,3,4,5,6,2] [1,1,0,0,1,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,1,0,0]=>{{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5] [1,1,0,0,1,0,1,1,0,0,1,0]=>{{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6] [1,1,0,0,1,0,1,1,0,1,0,0]=>{{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4] [1,1,0,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4] [1,1,0,0,1,1,0,0,1,0,1,0]=>{{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6] [1,1,0,0,1,1,0,0,1,1,0,0]=>{{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5] [1,1,0,0,1,1,0,1,0,0,1,0]=>{{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6] [1,1,0,0,1,1,0,1,0,1,0,0]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3] [1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3] [1,1,0,0,1,1,1,0,0,0,1,0]=>{{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6] [1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3] [1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3] [1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[2,1,4,5,6,3] [1,1,0,1,0,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6] [1,1,0,1,0,0,1,0,1,1,0,0]=>{{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5] [1,1,0,1,0,0,1,1,0,0,1,0]=>{{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6] [1,1,0,1,0,0,1,1,0,1,0,0]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4] [1,1,0,1,0,0,1,1,1,0,0,0]=>{{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4] [1,1,0,1,0,1,0,0,1,0,1,0]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6] [1,1,0,1,0,1,0,0,1,1,0,0]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5] [1,1,0,1,0,1,0,1,0,0,1,0]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6] [1,1,0,1,0,1,0,1,0,1,0,0]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6] [1,1,0,1,0,1,1,0,0,1,0,0]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>{{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6] [1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5] [1,1,0,1,1,0,0,1,0,0,1,0]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6] [1,1,0,1,1,0,0,1,0,1,0,0]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6] [1,1,0,1,1,0,1,0,0,1,0,0]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6] [1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[3,2,4,5,6,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6] [1,1,1,0,0,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5] [1,1,1,0,0,0,1,1,0,0,1,0]=>{{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6] [1,1,1,0,0,0,1,1,0,1,0,0]=>{{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4] [1,1,1,0,0,0,1,1,1,0,0,0]=>{{1,2,3},{4,5,6}}=>[2,3,1,5,6,4] [1,1,1,0,0,1,0,0,1,0,1,0]=>{{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6] [1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5] [1,1,1,0,0,1,0,1,0,0,1,0]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6] [1,1,1,0,0,1,0,1,0,1,0,0]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1] [1,1,1,0,0,1,0,1,1,0,0,0]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>{{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6] [1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,3,2,5,6,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>{{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6] [1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5] [1,1,1,0,1,0,0,1,0,0,1,0]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6] [1,1,1,0,1,0,0,1,0,1,0,0]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1] [1,1,1,0,1,0,0,1,1,0,0,0]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1] [1,1,1,0,1,0,1,0,0,0,1,0]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6] [1,1,1,0,1,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1] [1,1,1,0,1,0,1,0,1,0,0,0]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1] [1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6] [1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1] [1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1] [1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[2,4,3,5,6,1] [1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[2,3,4,1,6,5] [1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6] [1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1] [1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[5,3,4,2,6,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6] [1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1] [1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1] [1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[2,5,4,3,6,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6] [1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1] [1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1] [1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[2,3,5,4,6,1] [1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[2,3,4,5,1,6] [1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[6,3,4,5,2,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[2,6,4,5,3,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[2,3,6,5,4,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[2,3,4,6,5,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[2,3,4,5,6,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>{{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>{{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>{{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>{{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>{{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>{{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>{{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>{{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>{{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>{{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>{{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>{{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>{{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>{{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>{{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>{{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>{{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>{{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>{{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>{{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>{{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>{{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>{{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>{{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>{{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>{{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>{{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>{{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>{{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>{{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>{{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>{{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>{{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>{{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>{{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>{{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>{{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>{{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>{{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>{{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>{{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>{{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>{{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>{{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>{{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>{{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>{{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>{{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>{{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>{{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>{{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>{{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>{{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>{{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>{{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>{{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>{{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>{{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>{{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>{{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>{{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>{{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>{{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>{{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>{{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>{{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>{{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>{{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>{{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>{{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3},{4},{5,8},{6,7}}=>[1,2,3,4,8,7,6,5] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3},{4,5,6,7,8}}=>[1,2,3,5,6,7,8,4] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3,4},{5,8},{6,7}}=>[1,2,4,3,8,7,6,5] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7,8}}=>[1,2,4,5,6,7,8,3] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2,3},{4},{5,8},{6,7}}=>[1,3,2,4,8,7,6,5] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3},{4,5,6,8},{7}}=>[1,3,2,5,6,8,7,4] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[1,3,2,5,6,7,8,4] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1},{2,4},{3},{5,8},{6,7}}=>[1,4,3,2,8,7,6,5] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,5,6,7,8},{3},{4}}=>[1,5,3,4,6,7,8,2] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,4,8},{3},{5,6,7}}=>[1,4,3,8,6,7,5,2] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,4,5,6,7,8},{3}}=>[1,4,3,5,6,7,8,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1},{2,3,4},{5,8},{6,7}}=>[1,3,4,2,8,7,6,5] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1},{2,6,8},{3,4,5},{7}}=>[1,6,4,5,3,8,7,2] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1},{2,8},{3,4,5,6,7}}=>[1,8,4,5,6,7,3,2] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,8},{7}}=>[1,3,4,5,6,8,7,2] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7,8}}=>[1,3,4,5,6,7,8,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>{{1,2},{3},{4},{5,8},{6,7}}=>[2,1,3,4,8,7,6,5] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>{{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[2,1,4,3,6,7,8,5] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[2,1,6,4,5,7,8,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,5,6,8},{4},{7}}=>[2,1,5,4,6,8,7,3] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[2,1,5,4,6,7,8,3] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[2,1,6,5,4,7,8,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[2,1,4,6,5,7,8,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[2,1,4,5,6,3,8,7] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[2,1,4,5,7,6,8,3] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[2,1,4,8,6,7,5,3] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[2,1,4,5,8,7,6,3] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[2,1,4,5,6,8,7,3] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[2,1,4,5,6,7,8,3] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1,3},{2},{4},{5,8},{6,7}}=>[3,2,1,4,8,7,6,5] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,3},{2},{4,5,6,7,8}}=>[3,2,1,5,6,7,8,4] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>{{1,5,7},{2},{3},{4},{6},{8}}=>[5,2,3,4,7,6,1,8] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,3,5,6,1,8,7] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[3,2,4,1,6,7,8,5] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>{{1,3,5},{2},{4},{6},{7},{8}}=>[3,2,5,4,1,6,7,8] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,3,5},{2},{4},{6,7,8}}=>[3,2,5,4,1,7,8,6] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>{{1,3,7},{2},{4},{5},{6},{8}}=>[3,2,7,4,5,6,1,8] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,3,5,6,7,8},{2},{4}}=>[3,2,5,4,6,7,8,1] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,3,4,6,8},{2},{5},{7}}=>[3,2,4,6,5,8,7,1] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,3,4,6,7,8},{2},{5}}=>[3,2,4,6,5,7,8,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,3,4,5,6},{2},{7,8}}=>[3,2,4,5,6,1,8,7] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,7,8},{2},{3,4,5,6}}=>[7,2,4,5,6,3,8,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,3,7},{2},{4,5,6},{8}}=>[3,2,7,5,6,4,1,8] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,3,4,5,6,7},{2},{8}}=>[3,2,4,5,6,7,1,8] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,3,4,5,6,8},{2},{7}}=>[3,2,4,5,6,8,7,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4},{5,8},{6,7}}=>[2,3,1,4,8,7,6,5] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>{{1,2,3},{4,6,8},{5},{7}}=>[2,3,1,6,5,8,7,4] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2,3},{4,8},{5,6,7}}=>[2,3,1,8,6,7,5,4] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[2,3,1,5,8,7,6,4] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2,3},{4,5,6,7,8}}=>[2,3,1,5,6,7,8,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>{{1,4},{2,3},{5},{6},{7},{8}}=>[4,3,2,1,5,6,7,8] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>{{1,4},{2,3},{5},{6},{7,8}}=>[4,3,2,1,5,6,8,7] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>{{1,4},{2,3},{5},{6,7},{8}}=>[4,3,2,1,5,7,6,8] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>{{1,4},{2,3},{5},{6,8},{7}}=>[4,3,2,1,5,8,7,6] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5},{6,7,8}}=>[4,3,2,1,5,7,8,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>{{1,4},{2,3},{5,6},{7},{8}}=>[4,3,2,1,6,5,7,8] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>{{1,4},{2,3},{5,7},{6},{8}}=>[4,3,2,1,7,6,5,8] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>{{1,4},{2,3},{5,7,8},{6}}=>[4,3,2,1,7,6,8,5] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>{{1,4},{2,3},{5,6,7},{8}}=>[4,3,2,1,6,7,5,8] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>{{1,4},{2,3},{5,6,8},{7}}=>[4,3,2,1,6,8,7,5] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,3,2,1,6,7,8,5] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1] [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[6,3,2,5,4,7,8,1] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,3,2,6,5,8,7,1] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[4,3,2,6,5,7,8,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,3,2,5,6,1,8,7] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,4,5,7,8},{2,3},{6}}=>[4,3,2,5,7,6,8,1] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[4,3,2,8,6,7,5,1] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,3,2,5,8,7,6,1] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[4,3,2,5,6,8,7,1] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,4},{3},{5,8},{6,7}}=>[2,4,3,1,8,7,6,5] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[2,4,3,1,6,7,8,5] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,5,6,7,8},{3},{4}}=>[2,5,3,4,6,7,8,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[2,4,3,6,5,7,8,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[2,4,3,5,6,1,8,7] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,4,5,7,8},{3},{6}}=>[2,4,3,5,7,6,8,1] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[2,4,3,5,8,7,6,1] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[2,4,3,5,6,8,7,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[2,4,3,5,6,7,8,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[2,3,4,1,6,5,8,7] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[2,3,4,1,7,6,8,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[2,3,4,1,8,7,6,5] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[2,3,4,1,6,8,7,5] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[2,3,4,1,6,7,8,5] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>{{1,5},{2,3,4},{6,7,8}}=>[5,3,4,2,1,7,8,6] [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>{{1,5,7},{2,3,4},{6},{8}}=>[5,3,4,2,7,6,1,8] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[5,3,4,2,8,7,6,1] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[5,3,4,2,6,8,7,1] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3,4,2,6,7,8,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>{{1,6,8},{2,5},{3,4},{7}}=>[6,5,4,3,2,8,7,1] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[6,5,4,3,2,7,8,1] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[7,5,4,3,6,2,8,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,5,6,7,8},{3,4}}=>[2,5,4,3,6,7,8,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4},{5},{6}}=>[2,3,7,4,5,6,8,1] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[2,3,6,4,5,7,8,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[2,3,5,4,6,1,8,7] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,5,6,7,8},{4}}=>[2,3,5,4,6,7,8,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4,5},{6,8},{7}}=>[2,3,4,5,1,8,7,6] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[2,3,4,5,1,7,8,6] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[6,3,4,5,2,7,8,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[2,6,4,5,3,1,8,7] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[7,6,4,5,3,2,8,1] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[2,8,4,5,3,7,6,1] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[2,6,4,5,3,7,8,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[2,3,6,5,4,1,8,7] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[8,3,6,5,4,7,2,1] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[2,3,8,5,4,7,6,1] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[2,3,6,5,4,8,7,1] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[2,3,6,5,4,7,8,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[2,3,4,6,5,1,8,7] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[8,7,4,6,5,3,2,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[8,3,7,6,5,4,2,1] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[8,3,4,6,5,7,2,1] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[2,3,4,6,5,8,7,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[2,3,4,6,5,7,8,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[2,3,4,5,6,1,8,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>{{1,7},{2,3,4,5,6},{8}}=>[7,3,4,5,6,2,1,8] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[2,7,4,5,6,3,8,1] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[2,8,7,5,6,4,3,1] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[2,3,8,5,6,4,7,1] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[2,3,7,5,6,4,8,1] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[2,8,4,7,6,5,3,1] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[2,3,8,7,6,5,4,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,7},{6},{8}}=>[2,3,4,5,7,6,1,8] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[2,8,4,5,7,6,3,1] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[2,3,8,5,7,6,4,1] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[2,3,4,5,7,6,8,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6,7},{8}}=>[2,3,4,5,6,7,1,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[8,3,4,5,6,7,2,1] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[2,3,8,5,6,7,4,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[2,3,4,8,6,7,5,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[2,3,4,5,8,7,6,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[2,3,4,5,6,8,7,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[2,3,4,5,6,7,8,1]
Map
to noncrossing partition
Description
Biane's map to noncrossing set partitions.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.