Identifier
Values
=>
Cc0009;cc-rep-0
{{1}}=>[1]=>0 {{1,2}}=>[2,1]=>1 {{1},{2}}=>[1,2]=>0 {{1,2,3}}=>[2,3,1]=>2 {{1,2},{3}}=>[2,1,3]=>1 {{1,3},{2}}=>[3,2,1]=>0 {{1},{2,3}}=>[1,3,2]=>1 {{1},{2},{3}}=>[1,2,3]=>0 {{1,2,3,4}}=>[2,3,4,1]=>3 {{1,2,3},{4}}=>[2,3,1,4]=>2 {{1,2,4},{3}}=>[2,4,3,1]=>1 {{1,2},{3,4}}=>[2,1,4,3]=>2 {{1,2},{3},{4}}=>[2,1,3,4]=>1 {{1,3,4},{2}}=>[3,2,4,1]=>1 {{1,3},{2,4}}=>[3,4,1,2]=>0 {{1,3},{2},{4}}=>[3,2,1,4]=>0 {{1,4},{2,3}}=>[4,3,2,1]=>1 {{1},{2,3,4}}=>[1,3,4,2]=>2 {{1},{2,3},{4}}=>[1,3,2,4]=>1 {{1,4},{2},{3}}=>[4,2,3,1]=>0 {{1},{2,4},{3}}=>[1,4,3,2]=>0 {{1},{2},{3,4}}=>[1,2,4,3]=>1 {{1},{2},{3},{4}}=>[1,2,3,4]=>0 {{1,2,3,4,5}}=>[2,3,4,5,1]=>4 {{1,2,3,4},{5}}=>[2,3,4,1,5]=>3 {{1,2,3,5},{4}}=>[2,3,5,4,1]=>2 {{1,2,3},{4,5}}=>[2,3,1,5,4]=>3 {{1,2,3},{4},{5}}=>[2,3,1,4,5]=>2 {{1,2,4,5},{3}}=>[2,4,3,5,1]=>2 {{1,2,4},{3,5}}=>[2,4,5,1,3]=>1 {{1,2,4},{3},{5}}=>[2,4,3,1,5]=>1 {{1,2,5},{3,4}}=>[2,5,4,3,1]=>2 {{1,2},{3,4,5}}=>[2,1,4,5,3]=>3 {{1,2},{3,4},{5}}=>[2,1,4,3,5]=>2 {{1,2,5},{3},{4}}=>[2,5,3,4,1]=>1 {{1,2},{3,5},{4}}=>[2,1,5,4,3]=>1 {{1,2},{3},{4,5}}=>[2,1,3,5,4]=>2 {{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>1 {{1,3,4,5},{2}}=>[3,2,4,5,1]=>2 {{1,3,4},{2,5}}=>[3,5,4,1,2]=>1 {{1,3,4},{2},{5}}=>[3,2,4,1,5]=>1 {{1,3,5},{2,4}}=>[3,4,5,2,1]=>0 {{1,3},{2,4,5}}=>[3,4,1,5,2]=>1 {{1,3},{2,4},{5}}=>[3,4,1,2,5]=>0 {{1,3,5},{2},{4}}=>[3,2,5,4,1]=>0 {{1,3},{2,5},{4}}=>[3,5,1,4,2]=>0 {{1,3},{2},{4,5}}=>[3,2,1,5,4]=>1 {{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>0 {{1,4,5},{2,3}}=>[4,3,2,5,1]=>2 {{1,4},{2,3,5}}=>[4,3,5,1,2]=>1 {{1,4},{2,3},{5}}=>[4,3,2,1,5]=>1 {{1,5},{2,3,4}}=>[5,3,4,2,1]=>2 {{1},{2,3,4,5}}=>[1,3,4,5,2]=>3 {{1},{2,3,4},{5}}=>[1,3,4,2,5]=>2 {{1,5},{2,3},{4}}=>[5,3,2,4,1]=>1 {{1},{2,3,5},{4}}=>[1,3,5,4,2]=>1 {{1},{2,3},{4,5}}=>[1,3,2,5,4]=>2 {{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>1 {{1,4,5},{2},{3}}=>[4,2,3,5,1]=>1 {{1,4},{2,5},{3}}=>[4,5,3,1,2]=>0 {{1,4},{2},{3,5}}=>[4,2,5,1,3]=>0 {{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>0 {{1,5},{2,4},{3}}=>[5,4,3,2,1]=>0 {{1},{2,4,5},{3}}=>[1,4,3,5,2]=>1 {{1},{2,4},{3,5}}=>[1,4,5,2,3]=>0 {{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>0 {{1,5},{2},{3,4}}=>[5,2,4,3,1]=>1 {{1},{2,5},{3,4}}=>[1,5,4,3,2]=>1 {{1},{2},{3,4,5}}=>[1,2,4,5,3]=>2 {{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>1 {{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>0 {{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>0 {{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>0 {{1},{2},{3},{4,5}}=>[1,2,3,5,4]=>1 {{1},{2},{3},{4},{5}}=>[1,2,3,4,5]=>0 {{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>5 {{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>4 {{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>3 {{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>4 {{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>3 {{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>3 {{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>2 {{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>2 {{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>3 {{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>4 {{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>3 {{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>2 {{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>2 {{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>3 {{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>2 {{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>3 {{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>2 {{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>2 {{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>1 {{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>2 {{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>1 {{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>1 {{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>1 {{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>2 {{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>1 {{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>3 {{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>2 {{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>2 {{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>3 {{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>4 {{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>3 {{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>2 {{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>2 {{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>3 {{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>2 {{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>2 {{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>1 {{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>1 {{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>1 {{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>1 {{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>2 {{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>1 {{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>1 {{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>2 {{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>2 {{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>3 {{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>2 {{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>1 {{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>1 {{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>1 {{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>2 {{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>1 {{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>3 {{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>2 {{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>2 {{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>1 {{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>2 {{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>1 {{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>1 {{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>1 {{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>2 {{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>1 {{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>1 {{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>0 {{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>0 {{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>1 {{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>2 {{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>1 {{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>0 {{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>0 {{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>1 {{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>0 {{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>1 {{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>0 {{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>0 {{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>0 {{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>0 {{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>1 {{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>0 {{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>0 {{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>1 {{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>1 {{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>2 {{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>1 {{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>0 {{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>0 {{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>0 {{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>1 {{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>0 {{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>3 {{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>2 {{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>2 {{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>1 {{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>2 {{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>1 {{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>1 {{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>1 {{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>2 {{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>1 {{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>3 {{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>2 {{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>2 {{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>3 {{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>4 {{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>3 {{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>2 {{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>2 {{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>3 {{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>2 {{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>2 {{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>1 {{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>1 {{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>1 {{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>1 {{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>2 {{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>1 {{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>1 {{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>2 {{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>2 {{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>3 {{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>2 {{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>1 {{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>1 {{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>1 {{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>2 {{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>1 {{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>2 {{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>1 {{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>1 {{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>1 {{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>0 {{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>1 {{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>0 {{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>0 {{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>0 {{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>0 {{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>1 {{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>0 {{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>0 {{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>0 {{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>0 {{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>1 {{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>0 {{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>1 {{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>0 {{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>0 {{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>0 {{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>1 {{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>2 {{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>1 {{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>1 {{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>0 {{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>0 {{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>1 {{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>0 {{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>0 {{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>0 {{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>0 {{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>1 {{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>0 {{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>2 {{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>1 {{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>1 {{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>1 {{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>1 {{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>2 {{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>1 {{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>1 {{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>2 {{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>2 {{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>3 {{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>2 {{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>1 {{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>1 {{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>1 {{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>2 {{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>1 {{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>1 {{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>0 {{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>0 {{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>0 {{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>0 {{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>0 {{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>1 {{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>0 {{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>0 {{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>0 {{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>0 {{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>0 {{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>1 {{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>0 {{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>0 {{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>1 {{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>1 {{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>1 {{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>2 {{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>1 {{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>0 {{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>0 {{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>0 {{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>0 {{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5]=>1 {{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6]=>0 {{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>6 {{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>5 {{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>5 {{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>4 {{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>3 {{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>4 {{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>3 {{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>2 {{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>1 {{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>1 {{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>1 {{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>4 {{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>2 {{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>0 {{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>0 {{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>0 {{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>4 {{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>1 {{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>3 {{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>2 {{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>3 {{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>1 {{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>1 {{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>1 {{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>2 {{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>1 {{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>1 {{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>3 {{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>0 {{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>0 {{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>0 {{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>1 {{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>1 {{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>0 {{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>1 {{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>0 {{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>0 {{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>0 {{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>0 {{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>1 {{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>2 {{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>3 {{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>2 {{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>1 {{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>2 {{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>2 {{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>0 {{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>0 {{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>0 {{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>0 {{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>0 {{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>0 {{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>0 {{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>1 {{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>1 {{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>0 {{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>1 {{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>2 {{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>1 {{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>0 {{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>0 {{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>1 {{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>1 {{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>0 {{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>4 {{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>2 {{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>3 {{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>2 {{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>3 {{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>2 {{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>3 {{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>1 {{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>0 {{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>1 {{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>1 {{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>1 {{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>1 {{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>2 {{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>3 {{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>2 {{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>1 {{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>2 {{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>2 {{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>1 {{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>2 {{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>1 {{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>1 {{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>1 {{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>1 {{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>0 {{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>1 {{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>2 {{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>3 {{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>2 {{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>1 {{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>2 {{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>1 {{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>2 {{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>2 {{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>0 {{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>0 {{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>0 {{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>0 {{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>0 {{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>0 {{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>1 {{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>1 {{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>0 {{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>0 {{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>0 {{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>0 {{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>0 {{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>0 {{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>0 {{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>0 {{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>0 {{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>0 {{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>0 {{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>0 {{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>1 {{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>1 {{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>0 {{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>0 {{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>0 {{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>0 {{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>0 {{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>0 {{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>1 {{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>1 {{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>1 {{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>1 {{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>1 {{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>0 {{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>2 {{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>3 {{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>1 {{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>2 {{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>2 {{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>1 {{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>2 {{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>2 {{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>1 {{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>1 {{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>0 {{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>1 {{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>1 {{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>1 {{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>2 {{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>1 {{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>0 {{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>0 {{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>0 {{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>0 {{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>0 {{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>0 {{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>1 {{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>1 {{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>1 {{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>0 {{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>1 {{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>1 {{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>2 {{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>2 {{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>1 {{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>1 {{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>0 {{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>1 {{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>1 {{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>1 {{1,2},{3,4},{5,6},{7,8},{9,10}}=>[2,1,4,3,6,5,8,7,10,9]=>5 {{1,6},{2,7},{3,8},{4,9},{5,10}}=>[6,7,8,9,10,1,2,3,4,5]=>0 {{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,2,3,4,5,6,7,8]=>0 {{1},{2},{3},{4},{5},{6},{7,8}}=>[1,2,3,4,5,6,8,7]=>1 {{1},{2},{3},{4,5,6,7,8}}=>[1,2,3,5,6,7,8,4]=>4 {{1},{2},{3,4},{5,6},{7},{8}}=>[1,2,4,3,6,5,7,8]=>2 {{1},{2,3},{4},{5},{6,7},{8}}=>[1,3,2,4,5,7,6,8]=>2 {{1},{2,3},{4,5},{6,7},{8}}=>[1,3,2,5,4,7,6,8]=>3 {{1},{2,4},{3},{5,7},{6},{8}}=>[1,4,3,2,7,6,5,8]=>0 {{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2]=>0 {{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>0 {{1},{2,3,4},{5,6,7},{8}}=>[1,3,4,2,6,7,5,8]=>4 {{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>0 {{1},{2,8},{3,7},{4},{5,6}}=>[1,8,7,4,6,5,3,2]=>1 {{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>0 {{1},{2,8},{3,7},{4,5},{6}}=>[1,8,7,5,4,6,3,2]=>1 {{1},{2,8},{3,6,7},{4,5}}=>[1,8,6,5,4,7,3,2]=>2 {{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>0 {{1},{2,8},{3,7},{4,5,6}}=>[1,8,7,5,6,4,3,2]=>2 {{1},{2,8},{3,4,7},{5,6}}=>[1,8,4,7,6,5,3,2]=>2 {{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,3,4,5,6,7,8]=>1 {{1,2},{3},{4},{5},{6},{7,8}}=>[2,1,3,4,5,6,8,7]=>2 {{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5]=>3 {{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5]=>3 {{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7]=>3 {{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>2 {{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7]=>3 {{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>3 {{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8]=>0 {{1,3},{2},{4},{5},{6,8},{7}}=>[3,2,1,4,5,8,7,6]=>0 {{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>0 {{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>0 {{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>0 {{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1]=>3 {{1,4,5,6,7,8},{2},{3}}=>[4,2,3,5,6,7,8,1]=>4 {{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7]=>3 {{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>2 {{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5]=>2 {{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>0 {{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>2 {{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>0 {{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>1 {{1,3,6,8},{2},{4,5},{7}}=>[3,2,6,5,4,8,7,1]=>1 {{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>0 {{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1]=>5 {{1,2,3},{4},{5},{6,7,8}}=>[2,3,1,4,5,7,8,6]=>4 {{1,4},{2,3},{5},{6},{7},{8}}=>[4,3,2,1,5,6,7,8]=>1 {{1,4,7,8},{2,3},{5},{6}}=>[4,3,2,7,5,6,8,1]=>2 {{1,4,8},{2,3},{5},{6,7}}=>[4,3,2,8,5,7,6,1]=>2 {{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1]=>5 {{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7]=>3 {{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5]=>2 {{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>2 {{1,5},{2,4},{3},{6},{7},{8}}=>[5,4,3,2,1,6,7,8]=>0 {{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>0 {{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>0 {{1,7},{2,6},{3},{4,5},{8}}=>[7,6,3,5,4,2,1,8]=>1 {{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>0 {{1,2,3,4},{5,6,7,8}}=>[2,3,4,1,6,7,8,5]=>6 {{1,7},{2,6},{3,4},{5},{8}}=>[7,6,4,3,5,2,1,8]=>1 {{1,2,8},{3,4},{5},{6,7}}=>[2,8,4,3,5,7,6,1]=>3 {{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>0 {{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>1 {{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>3 {{1,2,3,7,8},{4},{5},{6}}=>[2,3,7,4,5,6,8,1]=>3 {{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>2 {{1,2,3,4,5},{6},{7},{8}}=>[2,3,4,5,1,6,7,8]=>4 {{1,7},{2,6},{3,4,5},{8}}=>[7,6,4,5,3,2,1,8]=>2 {{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>3 {{1,2,3,4,5,6},{7},{8}}=>[2,3,4,5,6,1,7,8]=>5 {{1,2,3,4,5,6},{7,8}}=>[2,3,4,5,6,1,8,7]=>6 {{1,2,3,4,5,6,7},{8}}=>[2,3,4,5,6,7,1,8]=>6 {{1,2,3,4,5,6,7,8}}=>[2,3,4,5,6,7,8,1]=>7 {{1,3,5,6,7,8},{2,4}}=>[3,4,5,2,6,7,8,1]=>3 {{1,3,4,5,7,8},{2,6}}=>[3,6,4,5,7,2,8,1]=>3 {{1,2,3,4,5,7},{6,8}}=>[2,3,4,5,7,8,1,6]=>4 {{1,2,3,5,8},{4,6,7}}=>[2,3,5,6,8,7,4,1]=>3 {{1,3,5,7},{2,4,6,8}}=>[3,4,5,6,7,8,1,2]=>0 {{1,3,4,7},{2,5,6,8}}=>[3,5,4,7,6,8,1,2]=>2 {{1,2,5,6},{3,4,7,8}}=>[2,5,4,7,6,1,8,3]=>4 {{1,2,4,6},{3,5,7,8}}=>[2,4,5,6,7,1,8,3]=>2 {{1,2,3,5},{4,6,7,8}}=>[2,3,5,6,1,7,8,4]=>4 {{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>1 {{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>0 {{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>1 {{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>0 {{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3]=>2 {{1,4},{2,5},{3,6},{7},{8}}=>[4,5,6,1,2,3,7,8]=>0 {{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>0 {{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>0 {{1,3},{2,4},{5},{6},{7},{8}}=>[3,4,1,2,5,6,7,8]=>0 {{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>1 {{1,2,5},{3},{4,7,8},{6}}=>[2,5,3,7,1,6,8,4]=>2 {{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>1 {{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>1 {{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4]=>0 {{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>0 {{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>1 {{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>1 {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,2,3,4,5,6,7,8,9]=>0 {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[1,2,3,4,5,6,7,9,8]=>1 {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[1,2,3,4,5,6,7,8,9,10]=>0 {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>[1,2,3,4,5,6,7,8,10,9]=>1 {{1,2,3,4,5,6,7,8},{9}}=>[2,3,4,5,6,7,8,1,9]=>7 {{1,2,3,4,5,6,7,8,9},{10}}=>[2,3,4,5,6,7,8,9,1,10]=>8 {{1,4,8},{2},{3,6},{5,7}}=>[4,2,6,8,7,3,5,1]=>0 {{1,4},{2,3,5,6},{7,8}}=>[4,3,5,1,6,2,8,7]=>3 {{1,2},{3,6},{4,5,7,8}}=>[2,1,6,5,7,3,8,4]=>3 {{1,4,5,8},{2,3,6,7}}=>[4,3,6,5,8,7,2,1]=>3 {{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>2 {{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>1 {{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>2 {{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>1 {{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>1 {{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>1 {{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>0 {{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3]=>2 {{1,4,6,7},{2,3,5,8}}=>[4,3,5,6,8,7,1,2]=>2 {{1,6},{2,4},{3,7},{5},{8}}=>[6,4,7,2,5,1,3,8]=>0 {{1,5,6,7},{2,3,4,8}}=>[5,3,4,8,6,7,1,2]=>4 {{1,5},{2,3},{4,6},{7},{8}}=>[5,3,2,6,1,4,7,8]=>1 {{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8]=>0 {{1},{2,5,6},{3,4,7},{8}}=>[1,5,4,7,6,2,3,8]=>2 {{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>2 {{1},{2,4,6},{3,5,7},{8}}=>[1,4,5,6,7,2,3,8]=>0 {{1},{2,3,5},{4,6,7},{8}}=>[1,3,5,6,2,7,4,8]=>2 {{1,4,6},{2},{3,5,8},{7}}=>[4,2,5,6,8,1,7,3]=>0 {{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>0 {{1},{2},{3,5},{4,6},{7},{8}}=>[1,2,5,6,3,4,7,8]=>0 {{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>0 {{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>0 {{1,4,6},{2,7},{3},{5,8}}=>[4,7,3,6,8,1,2,5]=>0 {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,3,4,5,6,7,8,9]=>1 {{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[3,2,1,4,5,6,7,8,9]=>0 {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,3,4,5,6,7,8,9,10]=>1 {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>[3,2,1,4,5,6,7,8,9,10]=>0 {{1,2,3,4,5,6,7,8,9}}=>[2,3,4,5,6,7,8,9,1]=>8 {{1,2,3,4,5,6,7},{8},{9}}=>[2,3,4,5,6,7,1,8,9]=>6 {{1,2,3,4,5,6,7,8,9,10}}=>[2,3,4,5,6,7,8,9,10,1]=>9 {{1,4},{2,3},{5},{6},{7},{8},{9}}=>[4,3,2,1,5,6,7,8,9]=>1 {{1},{2,3,7},{4},{5,6,8}}=>[1,3,7,4,6,8,2,5]=>2 {{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3]=>1 {{1,6},{2,4},{3},{5,7},{8}}=>[6,4,3,2,7,1,5,8]=>0 {{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>1 {{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>0 {{1,3,4,5,6,7,8,9},{2}}=>[3,2,4,5,6,7,8,9,1]=>6 {{1,4,5,6,7,8,9},{2},{3}}=>[4,2,3,5,6,7,8,9,1]=>5 {{1,3,4,5,6,7,8,9,10},{2}}=>[3,2,4,5,6,7,8,9,10,1]=>7 {{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>2 {{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>2 {{1,9},{2,8},{3,7},{4,6},{5},{10}}=>[9,8,7,6,5,4,3,2,1,10]=>0 {{1},{2,10},{3,9},{4,8},{5,7},{6}}=>[1,10,9,8,7,6,5,4,3,2]=>0 {{1},{2,3,5,8},{4,7},{6}}=>[1,3,5,7,8,6,4,2]=>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]=>0 {{1,4,5,7,8},{2,3,6}}=>[4,3,6,5,7,2,8,1]=>3 {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>[2,1,3,4,5,6,7,8,9,10,11]=>1 {{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>1 {{1,3,5,8},{2,7},{4,6}}=>[3,7,5,6,8,4,2,1]=>0 {{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>2 {{1,3,8},{2,4,5,6,7}}=>[3,4,8,5,6,7,2,1]=>3 {{1},{2,7},{3},{4,5,6,8}}=>[1,7,3,5,6,8,2,4]=>2 {{1,3,8},{2,6},{4,5,7}}=>[3,6,8,5,7,2,4,1]=>1 {{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>2 {{1,2},{3,7},{4,5,6,8}}=>[2,1,7,5,6,8,3,4]=>3 {{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>2 {{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of small exceedances.
This is the number of indices $i$ such that $\pi_i=i+1$.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.