Identifier
Values
=>
[1]=>[1]=>0 [1,2]=>[1,2]=>0 [2,1]=>[2,1]=>0 [1,2,3]=>[1,2,3]=>0 [1,3,2]=>[1,3,2]=>0 [2,1,3]=>[2,1,3]=>0 [2,3,1]=>[2,3,1]=>0 [3,1,2]=>[2,3,1]=>0 [3,2,1]=>[3,2,1]=>0 [1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,3]=>[1,2,4,3]=>1 [1,3,2,4]=>[1,3,2,4]=>0 [1,3,4,2]=>[1,3,4,2]=>0 [1,4,2,3]=>[1,3,4,2]=>0 [1,4,3,2]=>[1,4,3,2]=>0 [2,1,3,4]=>[2,1,3,4]=>0 [2,1,4,3]=>[2,1,4,3]=>0 [2,3,1,4]=>[2,3,1,4]=>0 [2,3,4,1]=>[2,3,4,1]=>0 [2,4,1,3]=>[4,3,1,2]=>0 [2,4,3,1]=>[2,4,3,1]=>0 [3,1,2,4]=>[2,3,1,4]=>0 [3,1,4,2]=>[2,3,4,1]=>0 [3,2,1,4]=>[3,2,1,4]=>0 [3,2,4,1]=>[3,2,4,1]=>0 [3,4,1,2]=>[4,3,2,1]=>0 [3,4,2,1]=>[3,4,2,1]=>0 [4,1,2,3]=>[2,3,4,1]=>0 [4,1,3,2]=>[2,4,3,1]=>0 [4,2,1,3]=>[3,2,4,1]=>0 [4,2,3,1]=>[3,4,2,1]=>0 [4,3,1,2]=>[3,4,2,1]=>0 [4,3,2,1]=>[4,3,2,1]=>0 [1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,5,3,4]=>[1,2,4,5,3]=>1 [1,2,5,4,3]=>[1,2,5,4,3]=>1 [1,3,2,4,5]=>[1,3,2,4,5]=>0 [1,3,2,5,4]=>[1,3,2,5,4]=>0 [1,3,4,2,5]=>[1,3,4,2,5]=>0 [1,3,4,5,2]=>[1,3,4,5,2]=>0 [1,3,5,2,4]=>[1,5,4,2,3]=>0 [1,3,5,4,2]=>[1,3,5,4,2]=>0 [1,4,2,3,5]=>[1,3,4,2,5]=>0 [1,4,2,5,3]=>[1,3,4,5,2]=>0 [1,4,3,2,5]=>[1,4,3,2,5]=>0 [1,4,3,5,2]=>[1,4,3,5,2]=>0 [1,4,5,2,3]=>[1,5,4,3,2]=>0 [1,4,5,3,2]=>[1,4,5,3,2]=>0 [1,5,2,3,4]=>[1,3,4,5,2]=>0 [1,5,2,4,3]=>[1,3,5,4,2]=>0 [1,5,3,2,4]=>[1,4,3,5,2]=>0 [1,5,3,4,2]=>[1,4,5,3,2]=>0 [1,5,4,2,3]=>[1,4,5,3,2]=>0 [1,5,4,3,2]=>[1,5,4,3,2]=>0 [2,1,3,4,5]=>[2,1,3,4,5]=>0 [2,1,3,5,4]=>[2,1,3,5,4]=>0 [2,1,4,3,5]=>[2,1,4,3,5]=>0 [2,1,4,5,3]=>[2,1,4,5,3]=>0 [2,1,5,3,4]=>[2,1,4,5,3]=>0 [2,1,5,4,3]=>[2,1,5,4,3]=>0 [2,3,1,4,5]=>[2,3,1,4,5]=>0 [2,3,1,5,4]=>[2,3,1,5,4]=>0 [2,3,4,1,5]=>[2,3,4,1,5]=>0 [2,3,4,5,1]=>[2,3,4,5,1]=>0 [2,3,5,1,4]=>[2,5,4,1,3]=>0 [2,3,5,4,1]=>[2,3,5,4,1]=>1 [2,4,1,3,5]=>[4,3,1,2,5]=>1 [2,4,1,5,3]=>[4,3,1,5,2]=>0 [2,4,3,1,5]=>[2,4,3,1,5]=>0 [2,4,3,5,1]=>[2,4,3,5,1]=>0 [2,4,5,1,3]=>[3,5,4,1,2]=>0 [2,4,5,3,1]=>[2,4,5,3,1]=>0 [2,5,1,3,4]=>[4,3,1,5,2]=>0 [2,5,1,4,3]=>[5,3,1,4,2]=>0 [2,5,3,1,4]=>[5,4,3,1,2]=>0 [2,5,3,4,1]=>[2,4,5,3,1]=>0 [2,5,4,1,3]=>[3,4,5,1,2]=>0 [2,5,4,3,1]=>[2,5,4,3,1]=>0 [3,1,2,4,5]=>[2,3,1,4,5]=>0 [3,1,2,5,4]=>[2,3,1,5,4]=>0 [3,1,4,2,5]=>[2,3,4,1,5]=>0 [3,1,4,5,2]=>[2,3,4,5,1]=>0 [3,1,5,2,4]=>[2,5,4,1,3]=>0 [3,1,5,4,2]=>[2,3,5,4,1]=>1 [3,2,1,4,5]=>[3,2,1,4,5]=>0 [3,2,1,5,4]=>[3,2,1,5,4]=>0 [3,2,4,1,5]=>[3,2,4,1,5]=>0 [3,2,4,5,1]=>[3,2,4,5,1]=>0 [3,2,5,1,4]=>[5,2,4,1,3]=>0 [3,2,5,4,1]=>[3,2,5,4,1]=>0 [3,4,1,2,5]=>[4,3,2,1,5]=>0 [3,4,1,5,2]=>[4,3,2,5,1]=>0 [3,4,2,1,5]=>[3,4,2,1,5]=>0 [3,4,2,5,1]=>[3,4,2,5,1]=>0 [3,4,5,1,2]=>[3,5,4,2,1]=>0 [3,4,5,2,1]=>[3,4,5,2,1]=>0 [3,5,1,2,4]=>[4,3,5,1,2]=>0 [3,5,1,4,2]=>[5,3,2,4,1]=>0 [3,5,2,1,4]=>[3,4,5,1,2]=>0 [3,5,2,4,1]=>[5,4,2,3,1]=>0 [3,5,4,1,2]=>[3,4,5,2,1]=>0 [3,5,4,2,1]=>[3,5,4,2,1]=>0 [4,1,2,3,5]=>[2,3,4,1,5]=>0 [4,1,2,5,3]=>[2,3,4,5,1]=>0 [4,1,3,2,5]=>[2,4,3,1,5]=>0 [4,1,3,5,2]=>[2,4,3,5,1]=>0 [4,1,5,2,3]=>[2,5,4,3,1]=>0 [4,1,5,3,2]=>[2,4,5,3,1]=>0 [4,2,1,3,5]=>[3,2,4,1,5]=>0 [4,2,1,5,3]=>[3,2,4,5,1]=>0 [4,2,3,1,5]=>[3,4,2,1,5]=>0 [4,2,3,5,1]=>[3,4,2,5,1]=>0 [4,2,5,1,3]=>[5,2,4,3,1]=>0 [4,2,5,3,1]=>[3,4,5,2,1]=>0 [4,3,1,2,5]=>[3,4,2,1,5]=>0 [4,3,1,5,2]=>[3,4,2,5,1]=>0 [4,3,2,1,5]=>[4,3,2,1,5]=>0 [4,3,2,5,1]=>[4,3,2,5,1]=>0 [4,3,5,1,2]=>[5,3,4,2,1]=>0 [4,3,5,2,1]=>[4,3,5,2,1]=>0 [4,5,1,2,3]=>[4,3,5,2,1]=>0 [4,5,1,3,2]=>[5,3,4,2,1]=>0 [4,5,2,1,3]=>[3,4,5,2,1]=>0 [4,5,2,3,1]=>[5,4,3,2,1]=>0 [4,5,3,1,2]=>[5,4,3,2,1]=>0 [4,5,3,2,1]=>[4,5,3,2,1]=>0 [5,1,2,3,4]=>[2,3,4,5,1]=>0 [5,1,2,4,3]=>[2,3,5,4,1]=>1 [5,1,3,2,4]=>[2,4,3,5,1]=>0 [5,1,3,4,2]=>[2,4,5,3,1]=>0 [5,1,4,2,3]=>[2,4,5,3,1]=>0 [5,1,4,3,2]=>[2,5,4,3,1]=>0 [5,2,1,3,4]=>[3,2,4,5,1]=>0 [5,2,1,4,3]=>[3,2,5,4,1]=>0 [5,2,3,1,4]=>[3,4,2,5,1]=>0 [5,2,3,4,1]=>[3,4,5,2,1]=>0 [5,2,4,1,3]=>[5,4,2,3,1]=>0 [5,2,4,3,1]=>[3,5,4,2,1]=>0 [5,3,1,2,4]=>[3,4,2,5,1]=>0 [5,3,1,4,2]=>[3,4,5,2,1]=>0 [5,3,2,1,4]=>[4,3,2,5,1]=>0 [5,3,2,4,1]=>[4,3,5,2,1]=>0 [5,3,4,1,2]=>[5,4,3,2,1]=>0 [5,3,4,2,1]=>[4,5,3,2,1]=>0 [5,4,1,2,3]=>[3,4,5,2,1]=>0 [5,4,1,3,2]=>[3,5,4,2,1]=>0 [5,4,2,1,3]=>[4,3,5,2,1]=>0 [5,4,2,3,1]=>[4,5,3,2,1]=>0 [5,4,3,1,2]=>[4,5,3,2,1]=>0 [5,4,3,2,1]=>[5,4,3,2,1]=>0 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>[1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>[1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>[1,2,3,5,6,4]=>1 [1,2,3,6,4,5]=>[1,2,3,5,6,4]=>1 [1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1 [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>[1,2,4,3,6,5]=>1 [1,2,4,5,3,6]=>[1,2,4,5,3,6]=>1 [1,2,4,5,6,3]=>[1,2,4,5,6,3]=>1 [1,2,4,6,3,5]=>[1,2,6,5,3,4]=>1 [1,2,4,6,5,3]=>[1,2,4,6,5,3]=>1 [1,2,5,3,4,6]=>[1,2,4,5,3,6]=>1 [1,2,5,3,6,4]=>[1,2,4,5,6,3]=>1 [1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1 [1,2,5,4,6,3]=>[1,2,5,4,6,3]=>1 [1,2,5,6,3,4]=>[1,2,6,5,4,3]=>1 [1,2,5,6,4,3]=>[1,2,5,6,4,3]=>1 [1,2,6,3,4,5]=>[1,2,4,5,6,3]=>1 [1,2,6,3,5,4]=>[1,2,4,6,5,3]=>1 [1,2,6,4,3,5]=>[1,2,5,4,6,3]=>1 [1,2,6,4,5,3]=>[1,2,5,6,4,3]=>1 [1,2,6,5,3,4]=>[1,2,5,6,4,3]=>1 [1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1 [1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0 [1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0 [1,3,2,5,6,4]=>[1,3,2,5,6,4]=>0 [1,3,2,6,4,5]=>[1,3,2,5,6,4]=>0 [1,3,2,6,5,4]=>[1,3,2,6,5,4]=>0 [1,3,4,2,5,6]=>[1,3,4,2,5,6]=>0 [1,3,4,2,6,5]=>[1,3,4,2,6,5]=>0 [1,3,4,5,2,6]=>[1,3,4,5,2,6]=>0 [1,3,4,5,6,2]=>[1,3,4,5,6,2]=>0 [1,3,4,6,2,5]=>[1,3,6,5,2,4]=>0 [1,3,4,6,5,2]=>[1,3,4,6,5,2]=>1 [1,3,5,2,4,6]=>[1,5,4,2,3,6]=>1 [1,3,5,2,6,4]=>[1,5,4,2,6,3]=>0 [1,3,5,4,2,6]=>[1,3,5,4,2,6]=>0 [1,3,5,4,6,2]=>[1,3,5,4,6,2]=>0 [1,3,5,6,2,4]=>[1,4,6,5,2,3]=>0 [1,3,5,6,4,2]=>[1,3,5,6,4,2]=>0 [1,3,6,2,4,5]=>[1,5,4,2,6,3]=>0 [1,3,6,2,5,4]=>[1,6,4,2,5,3]=>0 [1,3,6,4,2,5]=>[1,6,5,4,2,3]=>0 [1,3,6,4,5,2]=>[1,3,5,6,4,2]=>0 [1,3,6,5,2,4]=>[1,4,5,6,2,3]=>0 [1,3,6,5,4,2]=>[1,3,6,5,4,2]=>0 [1,4,2,3,5,6]=>[1,3,4,2,5,6]=>0 [1,4,2,3,6,5]=>[1,3,4,2,6,5]=>0 [1,4,2,5,3,6]=>[1,3,4,5,2,6]=>0 [1,4,2,5,6,3]=>[1,3,4,5,6,2]=>0 [1,4,2,6,3,5]=>[1,3,6,5,2,4]=>0 [1,4,2,6,5,3]=>[1,3,4,6,5,2]=>1 [1,4,3,2,5,6]=>[1,4,3,2,5,6]=>0 [1,4,3,2,6,5]=>[1,4,3,2,6,5]=>0 [1,4,3,5,2,6]=>[1,4,3,5,2,6]=>0 [1,4,3,5,6,2]=>[1,4,3,5,6,2]=>0 [1,4,3,6,2,5]=>[1,6,3,5,2,4]=>0 [1,4,3,6,5,2]=>[1,4,3,6,5,2]=>0 [1,4,5,2,3,6]=>[1,5,4,3,2,6]=>0 [1,4,5,2,6,3]=>[1,5,4,3,6,2]=>0 [1,4,5,3,2,6]=>[1,4,5,3,2,6]=>0 [1,4,5,3,6,2]=>[1,4,5,3,6,2]=>0 [1,4,5,6,2,3]=>[1,4,6,5,3,2]=>0 [1,4,5,6,3,2]=>[1,4,5,6,3,2]=>0 [1,4,6,2,3,5]=>[1,5,4,6,2,3]=>0 [1,4,6,2,5,3]=>[1,6,4,3,5,2]=>0 [1,4,6,3,2,5]=>[1,4,5,6,2,3]=>0 [1,4,6,3,5,2]=>[1,6,5,3,4,2]=>0 [1,4,6,5,2,3]=>[1,4,5,6,3,2]=>0 [1,4,6,5,3,2]=>[1,4,6,5,3,2]=>0 [1,5,2,3,4,6]=>[1,3,4,5,2,6]=>0 [1,5,2,3,6,4]=>[1,3,4,5,6,2]=>0 [1,5,2,4,3,6]=>[1,3,5,4,2,6]=>0 [1,5,2,4,6,3]=>[1,3,5,4,6,2]=>0 [1,5,2,6,3,4]=>[1,3,6,5,4,2]=>0 [1,5,2,6,4,3]=>[1,3,5,6,4,2]=>0 [1,5,3,2,4,6]=>[1,4,3,5,2,6]=>0 [1,5,3,2,6,4]=>[1,4,3,5,6,2]=>0 [1,5,3,4,2,6]=>[1,4,5,3,2,6]=>0 [1,5,3,4,6,2]=>[1,4,5,3,6,2]=>0 [1,5,3,6,2,4]=>[1,6,3,5,4,2]=>0 [1,5,3,6,4,2]=>[1,4,5,6,3,2]=>0 [1,5,4,2,3,6]=>[1,4,5,3,2,6]=>0 [1,5,4,2,6,3]=>[1,4,5,3,6,2]=>0 [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>0 [1,5,4,3,6,2]=>[1,5,4,3,6,2]=>0 [1,5,4,6,2,3]=>[1,6,4,5,3,2]=>0 [1,5,4,6,3,2]=>[1,5,4,6,3,2]=>0 [1,5,6,2,3,4]=>[1,5,4,6,3,2]=>0 [1,5,6,2,4,3]=>[1,6,4,5,3,2]=>0 [1,5,6,3,2,4]=>[1,4,5,6,3,2]=>0 [1,5,6,3,4,2]=>[1,6,5,4,3,2]=>0 [1,5,6,4,2,3]=>[1,6,5,4,3,2]=>0 [1,5,6,4,3,2]=>[1,5,6,4,3,2]=>0 [1,6,2,3,4,5]=>[1,3,4,5,6,2]=>0 [1,6,2,3,5,4]=>[1,3,4,6,5,2]=>1 [1,6,2,4,3,5]=>[1,3,5,4,6,2]=>0 [1,6,2,4,5,3]=>[1,3,5,6,4,2]=>0 [1,6,2,5,3,4]=>[1,3,5,6,4,2]=>0 [1,6,2,5,4,3]=>[1,3,6,5,4,2]=>0 [1,6,3,2,4,5]=>[1,4,3,5,6,2]=>0 [1,6,3,2,5,4]=>[1,4,3,6,5,2]=>0 [1,6,3,4,2,5]=>[1,4,5,3,6,2]=>0 [1,6,3,4,5,2]=>[1,4,5,6,3,2]=>0 [1,6,3,5,2,4]=>[1,6,5,3,4,2]=>0 [1,6,3,5,4,2]=>[1,4,6,5,3,2]=>0 [1,6,4,2,3,5]=>[1,4,5,3,6,2]=>0 [1,6,4,2,5,3]=>[1,4,5,6,3,2]=>0 [1,6,4,3,2,5]=>[1,5,4,3,6,2]=>0 [1,6,4,3,5,2]=>[1,5,4,6,3,2]=>0 [1,6,4,5,2,3]=>[1,6,5,4,3,2]=>0 [1,6,4,5,3,2]=>[1,5,6,4,3,2]=>0 [1,6,5,2,3,4]=>[1,4,5,6,3,2]=>0 [1,6,5,2,4,3]=>[1,4,6,5,3,2]=>0 [1,6,5,3,2,4]=>[1,5,4,6,3,2]=>0 [1,6,5,3,4,2]=>[1,5,6,4,3,2]=>0 [1,6,5,4,2,3]=>[1,5,6,4,3,2]=>0 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>0 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>1 [2,1,3,5,4,6]=>[2,1,3,5,4,6]=>0 [2,1,3,5,6,4]=>[2,1,3,5,6,4]=>0 [2,1,3,6,4,5]=>[2,1,3,5,6,4]=>0 [2,1,3,6,5,4]=>[2,1,3,6,5,4]=>0 [2,1,4,3,5,6]=>[2,1,4,3,5,6]=>0 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>0 [2,1,4,5,3,6]=>[2,1,4,5,3,6]=>0 [2,1,4,5,6,3]=>[2,1,4,5,6,3]=>0 [2,1,4,6,3,5]=>[2,1,6,5,3,4]=>0 [2,1,4,6,5,3]=>[2,1,4,6,5,3]=>0 [2,1,5,3,4,6]=>[2,1,4,5,3,6]=>0 [2,1,5,3,6,4]=>[2,1,4,5,6,3]=>0 [2,1,5,4,3,6]=>[2,1,5,4,3,6]=>0 [2,1,5,4,6,3]=>[2,1,5,4,6,3]=>0 [2,1,5,6,3,4]=>[2,1,6,5,4,3]=>0 [2,1,5,6,4,3]=>[2,1,5,6,4,3]=>0 [2,1,6,3,4,5]=>[2,1,4,5,6,3]=>0 [2,1,6,3,5,4]=>[2,1,4,6,5,3]=>0 [2,1,6,4,3,5]=>[2,1,5,4,6,3]=>0 [2,1,6,4,5,3]=>[2,1,5,6,4,3]=>0 [2,1,6,5,3,4]=>[2,1,5,6,4,3]=>0 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>0 [2,3,1,4,5,6]=>[2,3,1,4,5,6]=>0 [2,3,1,4,6,5]=>[2,3,1,4,6,5]=>0 [2,3,1,5,4,6]=>[2,3,1,5,4,6]=>0 [2,3,1,5,6,4]=>[2,3,1,5,6,4]=>0 [2,3,1,6,4,5]=>[2,3,1,5,6,4]=>0 [2,3,1,6,5,4]=>[2,3,1,6,5,4]=>0 [2,3,4,1,5,6]=>[2,3,4,1,5,6]=>0 [2,3,4,1,6,5]=>[2,3,4,1,6,5]=>0 [2,3,4,5,1,6]=>[2,3,4,5,1,6]=>0 [2,3,4,5,6,1]=>[2,3,4,5,6,1]=>0 [2,3,4,6,1,5]=>[2,3,6,5,1,4]=>1 [2,3,4,6,5,1]=>[2,3,4,6,5,1]=>1 [2,3,5,1,4,6]=>[2,5,4,1,3,6]=>0 [2,3,5,1,6,4]=>[2,5,4,1,6,3]=>0 [2,3,5,4,1,6]=>[2,3,5,4,1,6]=>1 [2,3,5,4,6,1]=>[2,3,5,4,6,1]=>1 [2,3,5,6,1,4]=>[2,4,6,5,1,3]=>0 [2,3,5,6,4,1]=>[2,3,5,6,4,1]=>1 [2,3,6,1,4,5]=>[2,5,4,1,6,3]=>0 [2,3,6,1,5,4]=>[2,6,4,1,5,3]=>0 [2,3,6,4,1,5]=>[2,6,5,4,1,3]=>0 [2,3,6,4,5,1]=>[2,3,5,6,4,1]=>1 [2,3,6,5,1,4]=>[2,4,5,6,1,3]=>0 [2,3,6,5,4,1]=>[2,3,6,5,4,1]=>1 [2,4,1,3,5,6]=>[4,3,1,2,5,6]=>1 [2,4,1,3,6,5]=>[4,3,1,2,6,5]=>1 [2,4,1,5,3,6]=>[4,3,1,5,2,6]=>0 [2,4,1,5,6,3]=>[4,3,1,5,6,2]=>0 [2,4,1,6,3,5]=>[6,3,1,5,2,4]=>0 [2,4,1,6,5,3]=>[4,3,1,6,5,2]=>0 [2,4,3,1,5,6]=>[2,4,3,1,5,6]=>0 [2,4,3,1,6,5]=>[2,4,3,1,6,5]=>0 [2,4,3,5,1,6]=>[2,4,3,5,1,6]=>0 [2,4,3,5,6,1]=>[2,4,3,5,6,1]=>0 [2,4,3,6,1,5]=>[2,6,3,5,1,4]=>0 [2,4,3,6,5,1]=>[2,4,3,6,5,1]=>0 [2,4,5,1,3,6]=>[3,5,4,1,2,6]=>1 [2,4,5,1,6,3]=>[3,5,4,1,6,2]=>0 [2,4,5,3,1,6]=>[2,4,5,3,1,6]=>0 [2,4,5,3,6,1]=>[2,4,5,3,6,1]=>0 [2,4,5,6,1,3]=>[3,4,6,5,1,2]=>1 [2,4,5,6,3,1]=>[2,4,5,6,3,1]=>0 [2,4,6,1,3,5]=>[6,5,4,1,2,3]=>0 [2,4,6,1,5,3]=>[3,6,4,1,5,2]=>0 [2,4,6,3,1,5]=>[2,4,5,6,1,3]=>0 [2,4,6,3,5,1]=>[2,6,5,3,4,1]=>0 [2,4,6,5,1,3]=>[3,4,5,6,1,2]=>0 [2,4,6,5,3,1]=>[2,4,6,5,3,1]=>0 [2,5,1,3,4,6]=>[4,3,1,5,2,6]=>0 [2,5,1,3,6,4]=>[4,3,1,5,6,2]=>0 [2,5,1,4,3,6]=>[5,3,1,4,2,6]=>0 [2,5,1,4,6,3]=>[5,3,1,4,6,2]=>0 [2,5,1,6,3,4]=>[6,3,1,5,4,2]=>0 [2,5,1,6,4,3]=>[5,3,1,6,4,2]=>0 [2,5,3,1,4,6]=>[5,4,3,1,2,6]=>1 [2,5,3,1,6,4]=>[5,4,3,1,6,2]=>0 [2,5,3,4,1,6]=>[2,4,5,3,1,6]=>0 [2,5,3,4,6,1]=>[2,4,5,3,6,1]=>0 [2,5,3,6,1,4]=>[4,6,3,5,1,2]=>0 [2,5,3,6,4,1]=>[2,4,5,6,3,1]=>0 [2,5,4,1,3,6]=>[3,4,5,1,2,6]=>1 [2,5,4,1,6,3]=>[3,4,5,1,6,2]=>0 [2,5,4,3,1,6]=>[2,5,4,3,1,6]=>0 [2,5,4,3,6,1]=>[2,5,4,3,6,1]=>0 [2,5,4,6,1,3]=>[3,6,4,5,1,2]=>0 [2,5,4,6,3,1]=>[2,5,4,6,3,1]=>0 [2,5,6,1,3,4]=>[6,5,4,1,3,2]=>0 [2,5,6,1,4,3]=>[5,6,4,1,3,2]=>0 [2,5,6,3,1,4]=>[3,4,5,6,1,2]=>0 [2,5,6,3,4,1]=>[2,6,5,4,3,1]=>0 [2,5,6,4,1,3]=>[3,6,5,4,1,2]=>0 [2,5,6,4,3,1]=>[2,5,6,4,3,1]=>0 [2,6,1,3,4,5]=>[4,3,1,5,6,2]=>0 [2,6,1,3,5,4]=>[4,3,1,6,5,2]=>0 [2,6,1,4,3,5]=>[5,3,1,4,6,2]=>0 [2,6,1,4,5,3]=>[5,3,1,6,4,2]=>0 [2,6,1,5,3,4]=>[5,3,1,6,4,2]=>0 [2,6,1,5,4,3]=>[6,3,1,5,4,2]=>0 [2,6,3,1,4,5]=>[5,4,3,1,6,2]=>0 [2,6,3,1,5,4]=>[6,4,3,1,5,2]=>0 [2,6,3,4,1,5]=>[6,4,5,3,1,2]=>0 [2,6,3,4,5,1]=>[2,4,5,6,3,1]=>0 [2,6,3,5,1,4]=>[4,6,5,3,1,2]=>0 [2,6,3,5,4,1]=>[2,4,6,5,3,1]=>0 [2,6,4,1,3,5]=>[3,4,5,1,6,2]=>0 [2,6,4,1,5,3]=>[6,4,5,1,3,2]=>0 [2,6,4,3,1,5]=>[6,5,4,3,1,2]=>0 [2,6,4,3,5,1]=>[2,5,4,6,3,1]=>0 [2,6,4,5,1,3]=>[3,6,5,4,1,2]=>0 [2,6,4,5,3,1]=>[2,5,6,4,3,1]=>0 [2,6,5,1,3,4]=>[6,4,5,1,3,2]=>0 [2,6,5,1,4,3]=>[5,4,6,1,3,2]=>0 [2,6,5,3,1,4]=>[3,5,4,6,1,2]=>0 [2,6,5,3,4,1]=>[2,5,6,4,3,1]=>0 [2,6,5,4,1,3]=>[3,5,6,4,1,2]=>0 [2,6,5,4,3,1]=>[2,6,5,4,3,1]=>0 [3,1,2,4,5,6]=>[2,3,1,4,5,6]=>0 [3,1,2,4,6,5]=>[2,3,1,4,6,5]=>0 [3,1,2,5,4,6]=>[2,3,1,5,4,6]=>0 [3,1,2,5,6,4]=>[2,3,1,5,6,4]=>0 [3,1,2,6,4,5]=>[2,3,1,5,6,4]=>0 [3,1,2,6,5,4]=>[2,3,1,6,5,4]=>0 [3,1,4,2,5,6]=>[2,3,4,1,5,6]=>0 [3,1,4,2,6,5]=>[2,3,4,1,6,5]=>0 [3,1,4,5,2,6]=>[2,3,4,5,1,6]=>0 [3,1,4,5,6,2]=>[2,3,4,5,6,1]=>0 [3,1,4,6,2,5]=>[2,3,6,5,1,4]=>1 [3,1,4,6,5,2]=>[2,3,4,6,5,1]=>1 [3,1,5,2,4,6]=>[2,5,4,1,3,6]=>0 [3,1,5,2,6,4]=>[2,5,4,1,6,3]=>0 [3,1,5,4,2,6]=>[2,3,5,4,1,6]=>1 [3,1,5,4,6,2]=>[2,3,5,4,6,1]=>1 [3,1,5,6,2,4]=>[2,4,6,5,1,3]=>0 [3,1,5,6,4,2]=>[2,3,5,6,4,1]=>1 [3,1,6,2,4,5]=>[2,5,4,1,6,3]=>0 [3,1,6,2,5,4]=>[2,6,4,1,5,3]=>0 [3,1,6,4,2,5]=>[2,6,5,4,1,3]=>0 [3,1,6,4,5,2]=>[2,3,5,6,4,1]=>1 [3,1,6,5,2,4]=>[2,4,5,6,1,3]=>0 [3,1,6,5,4,2]=>[2,3,6,5,4,1]=>1 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>[3,2,1,4,6,5]=>0 [3,2,1,5,4,6]=>[3,2,1,5,4,6]=>0 [3,2,1,5,6,4]=>[3,2,1,5,6,4]=>0 [3,2,1,6,4,5]=>[3,2,1,5,6,4]=>0 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>0 [3,2,4,1,5,6]=>[3,2,4,1,5,6]=>0 [3,2,4,1,6,5]=>[3,2,4,1,6,5]=>0 [3,2,4,5,1,6]=>[3,2,4,5,1,6]=>0 [3,2,4,5,6,1]=>[3,2,4,5,6,1]=>0 [3,2,4,6,1,5]=>[3,2,6,5,1,4]=>0 [3,2,4,6,5,1]=>[3,2,4,6,5,1]=>0 [3,2,5,1,4,6]=>[5,2,4,1,3,6]=>0 [3,2,5,1,6,4]=>[5,2,4,1,6,3]=>0 [3,2,5,4,1,6]=>[3,2,5,4,1,6]=>0 [3,2,5,4,6,1]=>[3,2,5,4,6,1]=>0 [3,2,5,6,1,4]=>[4,2,6,5,1,3]=>0 [3,2,5,6,4,1]=>[3,2,5,6,4,1]=>0 [3,2,6,1,4,5]=>[5,2,4,1,6,3]=>0 [3,2,6,1,5,4]=>[6,2,4,1,5,3]=>0 [3,2,6,4,1,5]=>[6,2,5,4,1,3]=>0 [3,2,6,4,5,1]=>[3,2,5,6,4,1]=>0 [3,2,6,5,1,4]=>[4,2,5,6,1,3]=>0 [3,2,6,5,4,1]=>[3,2,6,5,4,1]=>0 [3,4,1,2,5,6]=>[4,3,2,1,5,6]=>0 [3,4,1,2,6,5]=>[4,3,2,1,6,5]=>0 [3,4,1,5,2,6]=>[4,3,2,5,1,6]=>0 [3,4,1,5,6,2]=>[4,3,2,5,6,1]=>0 [3,4,1,6,2,5]=>[6,3,2,5,1,4]=>0 [3,4,1,6,5,2]=>[4,3,2,6,5,1]=>0 [3,4,2,1,5,6]=>[3,4,2,1,5,6]=>0 [3,4,2,1,6,5]=>[3,4,2,1,6,5]=>0 [3,4,2,5,1,6]=>[3,4,2,5,1,6]=>0 [3,4,2,5,6,1]=>[3,4,2,5,6,1]=>0 [3,4,2,6,1,5]=>[3,6,2,5,1,4]=>0 [3,4,2,6,5,1]=>[3,4,2,6,5,1]=>0 [3,4,5,1,2,6]=>[3,5,4,2,1,6]=>0 [3,4,5,1,6,2]=>[3,5,4,2,6,1]=>0 [3,4,5,2,1,6]=>[3,4,5,2,1,6]=>0 [3,4,5,2,6,1]=>[3,4,5,2,6,1]=>0 [3,4,5,6,1,2]=>[3,4,6,5,2,1]=>1 [3,4,5,6,2,1]=>[3,4,5,6,2,1]=>0 [3,4,6,1,2,5]=>[6,5,4,2,1,3]=>0 [3,4,6,1,5,2]=>[3,6,4,2,5,1]=>0 [3,4,6,2,1,5]=>[6,4,5,2,1,3]=>0 [3,4,6,2,5,1]=>[3,6,5,2,4,1]=>0 [3,4,6,5,1,2]=>[3,4,5,6,2,1]=>0 [3,4,6,5,2,1]=>[3,4,6,5,2,1]=>1 [3,5,1,2,4,6]=>[4,3,5,1,2,6]=>1 [3,5,1,2,6,4]=>[4,3,5,1,6,2]=>0 [3,5,1,4,2,6]=>[5,3,2,4,1,6]=>0 [3,5,1,4,6,2]=>[5,3,2,4,6,1]=>0 [3,5,1,6,2,4]=>[6,3,4,5,1,2]=>0 [3,5,1,6,4,2]=>[5,3,2,6,4,1]=>0 [3,5,2,1,4,6]=>[3,4,5,1,2,6]=>1 [3,5,2,1,6,4]=>[3,4,5,1,6,2]=>0 [3,5,2,4,1,6]=>[5,4,2,3,1,6]=>0 [3,5,2,4,6,1]=>[5,4,2,3,6,1]=>1 [3,5,2,6,1,4]=>[3,6,4,5,1,2]=>0 [3,5,2,6,4,1]=>[5,4,2,6,3,1]=>0 [3,5,4,1,2,6]=>[3,4,5,2,1,6]=>0 [3,5,4,1,6,2]=>[3,4,5,2,6,1]=>0 [3,5,4,2,1,6]=>[3,5,4,2,1,6]=>0 [3,5,4,2,6,1]=>[3,5,4,2,6,1]=>0 [3,5,4,6,1,2]=>[3,6,4,5,2,1]=>0 [3,5,4,6,2,1]=>[3,5,4,6,2,1]=>0 [3,5,6,1,2,4]=>[6,5,4,3,1,2]=>0 [3,5,6,1,4,2]=>[5,6,4,2,3,1]=>0 [3,5,6,2,1,4]=>[6,4,5,3,1,2]=>0 [3,5,6,2,4,1]=>[4,6,5,2,3,1]=>0 [3,5,6,4,1,2]=>[3,6,5,4,2,1]=>0 [3,5,6,4,2,1]=>[3,5,6,4,2,1]=>0 [3,6,1,2,4,5]=>[4,3,5,1,6,2]=>0 [3,6,1,2,5,4]=>[4,3,6,1,5,2]=>0 [3,6,1,4,2,5]=>[5,3,6,4,1,2]=>0 [3,6,1,4,5,2]=>[5,3,2,6,4,1]=>0 [3,6,1,5,2,4]=>[5,3,4,6,1,2]=>1 [3,6,1,5,4,2]=>[6,3,2,5,4,1]=>0 [3,6,2,1,4,5]=>[3,4,5,1,6,2]=>0 [3,6,2,1,5,4]=>[3,4,6,1,5,2]=>1 [3,6,2,4,1,5]=>[5,4,6,3,1,2]=>0 [3,6,2,4,5,1]=>[5,4,2,6,3,1]=>0 [3,6,2,5,1,4]=>[5,6,4,3,1,2]=>0 [3,6,2,5,4,1]=>[6,4,2,5,3,1]=>0 [3,6,4,1,2,5]=>[3,4,5,6,1,2]=>0 [3,6,4,1,5,2]=>[6,4,5,2,3,1]=>0 [3,6,4,2,1,5]=>[3,5,4,6,1,2]=>0 [3,6,4,2,5,1]=>[6,5,4,2,3,1]=>0 [3,6,4,5,1,2]=>[3,6,5,4,2,1]=>0 [3,6,4,5,2,1]=>[3,5,6,4,2,1]=>0 [3,6,5,1,2,4]=>[6,4,5,3,1,2]=>0 [3,6,5,1,4,2]=>[5,4,6,2,3,1]=>0 [3,6,5,2,1,4]=>[6,5,4,3,1,2]=>0 [3,6,5,2,4,1]=>[4,5,6,2,3,1]=>0 [3,6,5,4,1,2]=>[3,5,6,4,2,1]=>0 [3,6,5,4,2,1]=>[3,6,5,4,2,1]=>0 [4,1,2,3,5,6]=>[2,3,4,1,5,6]=>0 [4,1,2,3,6,5]=>[2,3,4,1,6,5]=>0 [4,1,2,5,3,6]=>[2,3,4,5,1,6]=>0 [4,1,2,5,6,3]=>[2,3,4,5,6,1]=>0 [4,1,2,6,3,5]=>[2,3,6,5,1,4]=>1 [4,1,2,6,5,3]=>[2,3,4,6,5,1]=>1 [4,1,3,2,5,6]=>[2,4,3,1,5,6]=>0 [4,1,3,2,6,5]=>[2,4,3,1,6,5]=>0 [4,1,3,5,2,6]=>[2,4,3,5,1,6]=>0 [4,1,3,5,6,2]=>[2,4,3,5,6,1]=>0 [4,1,3,6,2,5]=>[2,6,3,5,1,4]=>0 [4,1,3,6,5,2]=>[2,4,3,6,5,1]=>0 [4,1,5,2,3,6]=>[2,5,4,3,1,6]=>0 [4,1,5,2,6,3]=>[2,5,4,3,6,1]=>0 [4,1,5,3,2,6]=>[2,4,5,3,1,6]=>0 [4,1,5,3,6,2]=>[2,4,5,3,6,1]=>0 [4,1,5,6,2,3]=>[2,4,6,5,3,1]=>0 [4,1,5,6,3,2]=>[2,4,5,6,3,1]=>0 [4,1,6,2,3,5]=>[2,5,4,6,1,3]=>0 [4,1,6,2,5,3]=>[2,6,4,3,5,1]=>0 [4,1,6,3,2,5]=>[2,4,5,6,1,3]=>0 [4,1,6,3,5,2]=>[2,6,5,3,4,1]=>0 [4,1,6,5,2,3]=>[2,4,5,6,3,1]=>0 [4,1,6,5,3,2]=>[2,4,6,5,3,1]=>0 [4,2,1,3,5,6]=>[3,2,4,1,5,6]=>0 [4,2,1,3,6,5]=>[3,2,4,1,6,5]=>0 [4,2,1,5,3,6]=>[3,2,4,5,1,6]=>0 [4,2,1,5,6,3]=>[3,2,4,5,6,1]=>0 [4,2,1,6,3,5]=>[3,2,6,5,1,4]=>0 [4,2,1,6,5,3]=>[3,2,4,6,5,1]=>0 [4,2,3,1,5,6]=>[3,4,2,1,5,6]=>0 [4,2,3,1,6,5]=>[3,4,2,1,6,5]=>0 [4,2,3,5,1,6]=>[3,4,2,5,1,6]=>0 [4,2,3,5,6,1]=>[3,4,2,5,6,1]=>0 [4,2,3,6,1,5]=>[3,6,2,5,1,4]=>0 [4,2,3,6,5,1]=>[3,4,2,6,5,1]=>0 [4,2,5,1,3,6]=>[5,2,4,3,1,6]=>0 [4,2,5,1,6,3]=>[5,2,4,3,6,1]=>0 [4,2,5,3,1,6]=>[3,4,5,2,1,6]=>0 [4,2,5,3,6,1]=>[3,4,5,2,6,1]=>0 [4,2,5,6,1,3]=>[4,2,6,5,3,1]=>0 [4,2,5,6,3,1]=>[3,4,5,6,2,1]=>0 [4,2,6,1,3,5]=>[5,2,4,6,1,3]=>0 [4,2,6,1,5,3]=>[6,2,4,3,5,1]=>0 [4,2,6,3,1,5]=>[6,4,5,2,1,3]=>0 [4,2,6,3,5,1]=>[3,6,5,2,4,1]=>0 [4,2,6,5,1,3]=>[4,2,5,6,3,1]=>0 [4,2,6,5,3,1]=>[3,4,6,5,2,1]=>1 [4,3,1,2,5,6]=>[3,4,2,1,5,6]=>0 [4,3,1,2,6,5]=>[3,4,2,1,6,5]=>0 [4,3,1,5,2,6]=>[3,4,2,5,1,6]=>0 [4,3,1,5,6,2]=>[3,4,2,5,6,1]=>0 [4,3,1,6,2,5]=>[3,6,2,5,1,4]=>0 [4,3,1,6,5,2]=>[3,4,2,6,5,1]=>0 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>[4,3,2,1,6,5]=>0 [4,3,2,5,1,6]=>[4,3,2,5,1,6]=>0 [4,3,2,5,6,1]=>[4,3,2,5,6,1]=>0 [4,3,2,6,1,5]=>[6,3,2,5,1,4]=>0 [4,3,2,6,5,1]=>[4,3,2,6,5,1]=>0 [4,3,5,1,2,6]=>[5,3,4,2,1,6]=>0 [4,3,5,1,6,2]=>[5,3,4,2,6,1]=>0 [4,3,5,2,1,6]=>[4,3,5,2,1,6]=>0 [4,3,5,2,6,1]=>[4,3,5,2,6,1]=>0 [4,3,5,6,1,2]=>[4,3,6,5,2,1]=>0 [4,3,5,6,2,1]=>[4,3,5,6,2,1]=>0 [4,3,6,1,2,5]=>[5,6,4,2,1,3]=>0 [4,3,6,1,5,2]=>[6,3,4,2,5,1]=>0 [4,3,6,2,1,5]=>[4,6,5,2,1,3]=>0 [4,3,6,2,5,1]=>[6,3,5,2,4,1]=>0 [4,3,6,5,1,2]=>[4,3,5,6,2,1]=>0 [4,3,6,5,2,1]=>[4,3,6,5,2,1]=>0 [4,5,1,2,3,6]=>[4,3,5,2,1,6]=>0 [4,5,1,2,6,3]=>[4,3,5,2,6,1]=>0 [4,5,1,3,2,6]=>[5,3,4,2,1,6]=>0 [4,5,1,3,6,2]=>[5,3,4,2,6,1]=>0 [4,5,1,6,2,3]=>[6,3,4,5,2,1]=>0 [4,5,1,6,3,2]=>[5,3,4,6,2,1]=>1 [4,5,2,1,3,6]=>[3,4,5,2,1,6]=>0 [4,5,2,1,6,3]=>[3,4,5,2,6,1]=>0 [4,5,2,3,1,6]=>[5,4,3,2,1,6]=>0 [4,5,2,3,6,1]=>[5,4,3,2,6,1]=>0 [4,5,2,6,1,3]=>[3,6,4,5,2,1]=>0 [4,5,2,6,3,1]=>[5,4,3,6,2,1]=>0 [4,5,3,1,2,6]=>[5,4,3,2,1,6]=>0 [4,5,3,1,6,2]=>[5,4,3,2,6,1]=>0 [4,5,3,2,1,6]=>[4,5,3,2,1,6]=>0 [4,5,3,2,6,1]=>[4,5,3,2,6,1]=>0 [4,5,3,6,1,2]=>[4,6,3,5,2,1]=>0 [4,5,3,6,2,1]=>[4,5,3,6,2,1]=>0 [4,5,6,1,2,3]=>[6,5,4,3,2,1]=>0 [4,5,6,1,3,2]=>[5,6,4,3,2,1]=>0 [4,5,6,2,1,3]=>[6,4,5,3,2,1]=>0 [4,5,6,2,3,1]=>[4,6,5,3,2,1]=>0 [4,5,6,3,1,2]=>[4,6,5,3,2,1]=>0 [4,5,6,3,2,1]=>[4,5,6,3,2,1]=>0 [4,6,1,2,3,5]=>[4,3,5,6,1,2]=>0 [4,6,1,2,5,3]=>[4,3,6,2,5,1]=>0 [4,6,1,3,2,5]=>[5,3,4,6,1,2]=>1 [4,6,1,3,5,2]=>[5,3,6,2,4,1]=>0 [4,6,1,5,2,3]=>[5,3,4,6,2,1]=>1 [4,6,1,5,3,2]=>[6,3,4,5,2,1]=>0 [4,6,2,1,3,5]=>[3,4,5,6,1,2]=>0 [4,6,2,1,5,3]=>[3,4,6,2,5,1]=>1 [4,6,2,3,1,5]=>[5,4,3,6,1,2]=>0 [4,6,2,3,5,1]=>[5,4,6,2,3,1]=>0 [4,6,2,5,1,3]=>[5,6,4,3,2,1]=>0 [4,6,2,5,3,1]=>[6,4,3,5,2,1]=>0 [4,6,3,1,2,5]=>[5,4,3,6,1,2]=>0 [4,6,3,1,5,2]=>[5,4,6,2,3,1]=>0 [4,6,3,2,1,5]=>[4,5,3,6,1,2]=>0 [4,6,3,2,5,1]=>[4,5,6,2,3,1]=>0 [4,6,3,5,1,2]=>[5,6,3,4,2,1]=>0 [4,6,3,5,2,1]=>[6,5,3,4,2,1]=>0 [4,6,5,1,2,3]=>[6,4,5,3,2,1]=>0 [4,6,5,1,3,2]=>[5,4,6,3,2,1]=>0 [4,6,5,2,1,3]=>[6,5,4,3,2,1]=>0 [4,6,5,2,3,1]=>[4,5,6,3,2,1]=>0 [4,6,5,3,1,2]=>[4,5,6,3,2,1]=>0 [4,6,5,3,2,1]=>[4,6,5,3,2,1]=>0 [5,1,2,3,4,6]=>[2,3,4,5,1,6]=>0 [5,1,2,3,6,4]=>[2,3,4,5,6,1]=>0 [5,1,2,4,3,6]=>[2,3,5,4,1,6]=>1 [5,1,2,4,6,3]=>[2,3,5,4,6,1]=>1 [5,1,2,6,3,4]=>[2,3,6,5,4,1]=>1 [5,1,2,6,4,3]=>[2,3,5,6,4,1]=>1 [5,1,3,2,4,6]=>[2,4,3,5,1,6]=>0 [5,1,3,2,6,4]=>[2,4,3,5,6,1]=>0 [5,1,3,4,2,6]=>[2,4,5,3,1,6]=>0 [5,1,3,4,6,2]=>[2,4,5,3,6,1]=>0 [5,1,3,6,2,4]=>[2,6,3,5,4,1]=>0 [5,1,3,6,4,2]=>[2,4,5,6,3,1]=>0 [5,1,4,2,3,6]=>[2,4,5,3,1,6]=>0 [5,1,4,2,6,3]=>[2,4,5,3,6,1]=>0 [5,1,4,3,2,6]=>[2,5,4,3,1,6]=>0 [5,1,4,3,6,2]=>[2,5,4,3,6,1]=>0 [5,1,4,6,2,3]=>[2,6,4,5,3,1]=>0 [5,1,4,6,3,2]=>[2,5,4,6,3,1]=>0 [5,1,6,2,3,4]=>[2,5,4,6,3,1]=>0 [5,1,6,2,4,3]=>[2,6,4,5,3,1]=>0 [5,1,6,3,2,4]=>[2,4,5,6,3,1]=>0 [5,1,6,3,4,2]=>[2,6,5,4,3,1]=>0 [5,1,6,4,2,3]=>[2,6,5,4,3,1]=>0 [5,1,6,4,3,2]=>[2,5,6,4,3,1]=>0 [5,2,1,3,4,6]=>[3,2,4,5,1,6]=>0 [5,2,1,3,6,4]=>[3,2,4,5,6,1]=>0 [5,2,1,4,3,6]=>[3,2,5,4,1,6]=>0 [5,2,1,4,6,3]=>[3,2,5,4,6,1]=>0 [5,2,1,6,3,4]=>[3,2,6,5,4,1]=>0 [5,2,1,6,4,3]=>[3,2,5,6,4,1]=>0 [5,2,3,1,4,6]=>[3,4,2,5,1,6]=>0 [5,2,3,1,6,4]=>[3,4,2,5,6,1]=>0 [5,2,3,4,1,6]=>[3,4,5,2,1,6]=>0 [5,2,3,4,6,1]=>[3,4,5,2,6,1]=>0 [5,2,3,6,1,4]=>[3,6,2,5,4,1]=>0 [5,2,3,6,4,1]=>[3,4,5,6,2,1]=>0 [5,2,4,1,3,6]=>[5,4,2,3,1,6]=>0 [5,2,4,1,6,3]=>[5,4,2,3,6,1]=>1 [5,2,4,3,1,6]=>[3,5,4,2,1,6]=>0 [5,2,4,3,6,1]=>[3,5,4,2,6,1]=>0 [5,2,4,6,1,3]=>[4,6,2,5,3,1]=>0 [5,2,4,6,3,1]=>[3,5,4,6,2,1]=>0 [5,2,6,1,3,4]=>[5,2,4,6,3,1]=>0 [5,2,6,1,4,3]=>[6,2,4,5,3,1]=>0 [5,2,6,3,1,4]=>[6,4,5,2,3,1]=>0 [5,2,6,3,4,1]=>[3,6,5,4,2,1]=>0 [5,2,6,4,1,3]=>[4,6,5,2,3,1]=>0 [5,2,6,4,3,1]=>[3,5,6,4,2,1]=>0 [5,3,1,2,4,6]=>[3,4,2,5,1,6]=>0 [5,3,1,2,6,4]=>[3,4,2,5,6,1]=>0 [5,3,1,4,2,6]=>[3,4,5,2,1,6]=>0 [5,3,1,4,6,2]=>[3,4,5,2,6,1]=>0 [5,3,1,6,2,4]=>[3,6,2,5,4,1]=>0 [5,3,1,6,4,2]=>[3,4,5,6,2,1]=>0 [5,3,2,1,4,6]=>[4,3,2,5,1,6]=>0 [5,3,2,1,6,4]=>[4,3,2,5,6,1]=>0 [5,3,2,4,1,6]=>[4,3,5,2,1,6]=>0 [5,3,2,4,6,1]=>[4,3,5,2,6,1]=>0 [5,3,2,6,1,4]=>[6,3,2,5,4,1]=>0 [5,3,2,6,4,1]=>[4,3,5,6,2,1]=>0 [5,3,4,1,2,6]=>[5,4,3,2,1,6]=>0 [5,3,4,1,6,2]=>[5,4,3,2,6,1]=>0 [5,3,4,2,1,6]=>[4,5,3,2,1,6]=>0 [5,3,4,2,6,1]=>[4,5,3,2,6,1]=>0 [5,3,4,6,1,2]=>[4,6,3,5,2,1]=>0 [5,3,4,6,2,1]=>[4,5,3,6,2,1]=>0 [5,3,6,1,2,4]=>[5,6,4,2,3,1]=>0 [5,3,6,1,4,2]=>[6,3,4,5,2,1]=>0 [5,3,6,2,1,4]=>[4,6,5,2,3,1]=>0 [5,3,6,2,4,1]=>[6,3,5,4,2,1]=>0 [5,3,6,4,1,2]=>[4,6,5,3,2,1]=>0 [5,3,6,4,2,1]=>[4,5,6,3,2,1]=>0 [5,4,1,2,3,6]=>[3,4,5,2,1,6]=>0 [5,4,1,2,6,3]=>[3,4,5,2,6,1]=>0 [5,4,1,3,2,6]=>[3,5,4,2,1,6]=>0 [5,4,1,3,6,2]=>[3,5,4,2,6,1]=>0 [5,4,1,6,2,3]=>[3,6,4,5,2,1]=>0 [5,4,1,6,3,2]=>[3,5,4,6,2,1]=>0 [5,4,2,1,3,6]=>[4,3,5,2,1,6]=>0 [5,4,2,1,6,3]=>[4,3,5,2,6,1]=>0 [5,4,2,3,1,6]=>[4,5,3,2,1,6]=>0 [5,4,2,3,6,1]=>[4,5,3,2,6,1]=>0 [5,4,2,6,1,3]=>[6,3,4,5,2,1]=>0 [5,4,2,6,3,1]=>[4,5,3,6,2,1]=>0 [5,4,3,1,2,6]=>[4,5,3,2,1,6]=>0 [5,4,3,1,6,2]=>[4,5,3,2,6,1]=>0 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>[5,4,3,2,6,1]=>0 [5,4,3,6,1,2]=>[6,4,3,5,2,1]=>0 [5,4,3,6,2,1]=>[5,4,3,6,2,1]=>0 [5,4,6,1,2,3]=>[5,6,4,3,2,1]=>0 [5,4,6,1,3,2]=>[6,5,4,3,2,1]=>0 [5,4,6,2,1,3]=>[4,6,5,3,2,1]=>0 [5,4,6,2,3,1]=>[6,4,5,3,2,1]=>0 [5,4,6,3,1,2]=>[6,4,5,3,2,1]=>0 [5,4,6,3,2,1]=>[5,4,6,3,2,1]=>0 [5,6,1,2,3,4]=>[4,3,5,6,2,1]=>0 [5,6,1,2,4,3]=>[4,3,6,5,2,1]=>0 [5,6,1,3,2,4]=>[5,3,4,6,2,1]=>1 [5,6,1,3,4,2]=>[5,3,6,4,2,1]=>0 [5,6,1,4,2,3]=>[5,3,6,4,2,1]=>0 [5,6,1,4,3,2]=>[6,3,5,4,2,1]=>0 [5,6,2,1,3,4]=>[3,4,5,6,2,1]=>0 [5,6,2,1,4,3]=>[3,4,6,5,2,1]=>1 [5,6,2,3,1,4]=>[5,4,3,6,2,1]=>0 [5,6,2,3,4,1]=>[5,4,6,3,2,1]=>0 [5,6,2,4,1,3]=>[5,6,3,4,2,1]=>0 [5,6,2,4,3,1]=>[6,4,5,3,2,1]=>0 [5,6,3,1,2,4]=>[5,4,3,6,2,1]=>0 [5,6,3,1,4,2]=>[5,4,6,3,2,1]=>0 [5,6,3,2,1,4]=>[4,5,3,6,2,1]=>0 [5,6,3,2,4,1]=>[4,5,6,3,2,1]=>0 [5,6,3,4,1,2]=>[5,6,4,3,2,1]=>0 [5,6,3,4,2,1]=>[6,5,4,3,2,1]=>0 [5,6,4,1,2,3]=>[5,4,6,3,2,1]=>0 [5,6,4,1,3,2]=>[6,4,5,3,2,1]=>0 [5,6,4,2,1,3]=>[4,5,6,3,2,1]=>0 [5,6,4,2,3,1]=>[6,5,4,3,2,1]=>0 [5,6,4,3,1,2]=>[6,5,4,3,2,1]=>0 [5,6,4,3,2,1]=>[5,6,4,3,2,1]=>0 [6,1,2,3,4,5]=>[2,3,4,5,6,1]=>0 [6,1,2,3,5,4]=>[2,3,4,6,5,1]=>1 [6,1,2,4,3,5]=>[2,3,5,4,6,1]=>1 [6,1,2,4,5,3]=>[2,3,5,6,4,1]=>1 [6,1,2,5,3,4]=>[2,3,5,6,4,1]=>1 [6,1,2,5,4,3]=>[2,3,6,5,4,1]=>1 [6,1,3,2,4,5]=>[2,4,3,5,6,1]=>0 [6,1,3,2,5,4]=>[2,4,3,6,5,1]=>0 [6,1,3,4,2,5]=>[2,4,5,3,6,1]=>0 [6,1,3,4,5,2]=>[2,4,5,6,3,1]=>0 [6,1,3,5,2,4]=>[2,6,5,3,4,1]=>0 [6,1,3,5,4,2]=>[2,4,6,5,3,1]=>0 [6,1,4,2,3,5]=>[2,4,5,3,6,1]=>0 [6,1,4,2,5,3]=>[2,4,5,6,3,1]=>0 [6,1,4,3,2,5]=>[2,5,4,3,6,1]=>0 [6,1,4,3,5,2]=>[2,5,4,6,3,1]=>0 [6,1,4,5,2,3]=>[2,6,5,4,3,1]=>0 [6,1,4,5,3,2]=>[2,5,6,4,3,1]=>0 [6,1,5,2,3,4]=>[2,4,5,6,3,1]=>0 [6,1,5,2,4,3]=>[2,4,6,5,3,1]=>0 [6,1,5,3,2,4]=>[2,5,4,6,3,1]=>0 [6,1,5,3,4,2]=>[2,5,6,4,3,1]=>0 [6,1,5,4,2,3]=>[2,5,6,4,3,1]=>0 [6,1,5,4,3,2]=>[2,6,5,4,3,1]=>0 [6,2,1,3,4,5]=>[3,2,4,5,6,1]=>0 [6,2,1,3,5,4]=>[3,2,4,6,5,1]=>0 [6,2,1,4,3,5]=>[3,2,5,4,6,1]=>0 [6,2,1,4,5,3]=>[3,2,5,6,4,1]=>0 [6,2,1,5,3,4]=>[3,2,5,6,4,1]=>0 [6,2,1,5,4,3]=>[3,2,6,5,4,1]=>0 [6,2,3,1,4,5]=>[3,4,2,5,6,1]=>0 [6,2,3,1,5,4]=>[3,4,2,6,5,1]=>0 [6,2,3,4,1,5]=>[3,4,5,2,6,1]=>0 [6,2,3,4,5,1]=>[3,4,5,6,2,1]=>0 [6,2,3,5,1,4]=>[3,6,5,2,4,1]=>0 [6,2,3,5,4,1]=>[3,4,6,5,2,1]=>1 [6,2,4,1,3,5]=>[5,4,2,3,6,1]=>1 [6,2,4,1,5,3]=>[5,4,2,6,3,1]=>0 [6,2,4,3,1,5]=>[3,5,4,2,6,1]=>0 [6,2,4,3,5,1]=>[3,5,4,6,2,1]=>0 [6,2,4,5,1,3]=>[4,6,5,2,3,1]=>0 [6,2,4,5,3,1]=>[3,5,6,4,2,1]=>0 [6,2,5,1,3,4]=>[5,4,2,6,3,1]=>0 [6,2,5,1,4,3]=>[6,4,2,5,3,1]=>0 [6,2,5,3,1,4]=>[6,5,4,2,3,1]=>0 [6,2,5,3,4,1]=>[3,5,6,4,2,1]=>0 [6,2,5,4,1,3]=>[4,5,6,2,3,1]=>0 [6,2,5,4,3,1]=>[3,6,5,4,2,1]=>0 [6,3,1,2,4,5]=>[3,4,2,5,6,1]=>0 [6,3,1,2,5,4]=>[3,4,2,6,5,1]=>0 [6,3,1,4,2,5]=>[3,4,5,2,6,1]=>0 [6,3,1,4,5,2]=>[3,4,5,6,2,1]=>0 [6,3,1,5,2,4]=>[3,6,5,2,4,1]=>0 [6,3,1,5,4,2]=>[3,4,6,5,2,1]=>1 [6,3,2,1,4,5]=>[4,3,2,5,6,1]=>0 [6,3,2,1,5,4]=>[4,3,2,6,5,1]=>0 [6,3,2,4,1,5]=>[4,3,5,2,6,1]=>0 [6,3,2,4,5,1]=>[4,3,5,6,2,1]=>0 [6,3,2,5,1,4]=>[6,3,5,2,4,1]=>0 [6,3,2,5,4,1]=>[4,3,6,5,2,1]=>0 [6,3,4,1,2,5]=>[5,4,3,2,6,1]=>0 [6,3,4,1,5,2]=>[5,4,3,6,2,1]=>0 [6,3,4,2,1,5]=>[4,5,3,2,6,1]=>0 [6,3,4,2,5,1]=>[4,5,3,6,2,1]=>0 [6,3,4,5,1,2]=>[4,6,5,3,2,1]=>0 [6,3,4,5,2,1]=>[4,5,6,3,2,1]=>0 [6,3,5,1,2,4]=>[5,4,6,2,3,1]=>0 [6,3,5,1,4,2]=>[6,4,3,5,2,1]=>0 [6,3,5,2,1,4]=>[4,5,6,2,3,1]=>0 [6,3,5,2,4,1]=>[6,5,3,4,2,1]=>0 [6,3,5,4,1,2]=>[4,5,6,3,2,1]=>0 [6,3,5,4,2,1]=>[4,6,5,3,2,1]=>0 [6,4,1,2,3,5]=>[3,4,5,2,6,1]=>0 [6,4,1,2,5,3]=>[3,4,5,6,2,1]=>0 [6,4,1,3,2,5]=>[3,5,4,2,6,1]=>0 [6,4,1,3,5,2]=>[3,5,4,6,2,1]=>0 [6,4,1,5,2,3]=>[3,6,5,4,2,1]=>0 [6,4,1,5,3,2]=>[3,5,6,4,2,1]=>0 [6,4,2,1,3,5]=>[4,3,5,2,6,1]=>0 [6,4,2,1,5,3]=>[4,3,5,6,2,1]=>0 [6,4,2,3,1,5]=>[4,5,3,2,6,1]=>0 [6,4,2,3,5,1]=>[4,5,3,6,2,1]=>0 [6,4,2,5,1,3]=>[6,3,5,4,2,1]=>0 [6,4,2,5,3,1]=>[4,5,6,3,2,1]=>0 [6,4,3,1,2,5]=>[4,5,3,2,6,1]=>0 [6,4,3,1,5,2]=>[4,5,3,6,2,1]=>0 [6,4,3,2,1,5]=>[5,4,3,2,6,1]=>0 [6,4,3,2,5,1]=>[5,4,3,6,2,1]=>0 [6,4,3,5,1,2]=>[6,4,5,3,2,1]=>0 [6,4,3,5,2,1]=>[5,4,6,3,2,1]=>0 [6,4,5,1,2,3]=>[5,4,6,3,2,1]=>0 [6,4,5,1,3,2]=>[6,4,5,3,2,1]=>0 [6,4,5,2,1,3]=>[4,5,6,3,2,1]=>0 [6,4,5,2,3,1]=>[6,5,4,3,2,1]=>0 [6,4,5,3,1,2]=>[6,5,4,3,2,1]=>0 [6,4,5,3,2,1]=>[5,6,4,3,2,1]=>0 [6,5,1,2,3,4]=>[3,4,5,6,2,1]=>0 [6,5,1,2,4,3]=>[3,4,6,5,2,1]=>1 [6,5,1,3,2,4]=>[3,5,4,6,2,1]=>0 [6,5,1,3,4,2]=>[3,5,6,4,2,1]=>0 [6,5,1,4,2,3]=>[3,5,6,4,2,1]=>0 [6,5,1,4,3,2]=>[3,6,5,4,2,1]=>0 [6,5,2,1,3,4]=>[4,3,5,6,2,1]=>0 [6,5,2,1,4,3]=>[4,3,6,5,2,1]=>0 [6,5,2,3,1,4]=>[4,5,3,6,2,1]=>0 [6,5,2,3,4,1]=>[4,5,6,3,2,1]=>0 [6,5,2,4,1,3]=>[6,5,3,4,2,1]=>0 [6,5,2,4,3,1]=>[4,6,5,3,2,1]=>0 [6,5,3,1,2,4]=>[4,5,3,6,2,1]=>0 [6,5,3,1,4,2]=>[4,5,6,3,2,1]=>0 [6,5,3,2,1,4]=>[5,4,3,6,2,1]=>0 [6,5,3,2,4,1]=>[5,4,6,3,2,1]=>0 [6,5,3,4,1,2]=>[6,5,4,3,2,1]=>0 [6,5,3,4,2,1]=>[5,6,4,3,2,1]=>0 [6,5,4,1,2,3]=>[4,5,6,3,2,1]=>0 [6,5,4,1,3,2]=>[4,6,5,3,2,1]=>0 [6,5,4,2,1,3]=>[5,4,6,3,2,1]=>0 [6,5,4,2,3,1]=>[5,6,4,3,2,1]=>0 [6,5,4,3,1,2]=>[5,6,4,3,2,1]=>0 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>1 [1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>1 [1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>1 [1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>1 [1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>1 [1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>1 [1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>1 [1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>1 [1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>1 [1,2,3,5,7,4,6]=>[1,2,3,7,6,4,5]=>1 [1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]=>1 [1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>1 [1,2,3,6,4,7,5]=>[1,2,3,5,6,7,4]=>1 [1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>1 [1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>1 [1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>1 [1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]=>1 [1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>1 [1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4]=>1 [1,2,3,7,5,4,6]=>[1,2,3,6,5,7,4]=>1 [1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>1 [1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4]=>1 [1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>1 [1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>1 [1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>1 [1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>1 [1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>1 [1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>1 [1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>1 [1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>1 [1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>1 [1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>1 [1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>1 [1,2,4,5,7,3,6]=>[1,2,4,7,6,3,5]=>1 [1,2,4,5,7,6,3]=>[1,2,4,5,7,6,3]=>2 [1,2,4,6,3,5,7]=>[1,2,6,5,3,4,7]=>2 [1,2,4,6,3,7,5]=>[1,2,6,5,3,7,4]=>1 [1,2,4,6,5,3,7]=>[1,2,4,6,5,3,7]=>1 [1,2,4,6,5,7,3]=>[1,2,4,6,5,7,3]=>1 [1,2,4,6,7,3,5]=>[1,2,5,7,6,3,4]=>1 [1,2,4,6,7,5,3]=>[1,2,4,6,7,5,3]=>1 [1,2,4,7,3,5,6]=>[1,2,6,5,3,7,4]=>1 [1,2,4,7,3,6,5]=>[1,2,7,5,3,6,4]=>1 [1,2,4,7,5,3,6]=>[1,2,7,6,5,3,4]=>1 [1,2,4,7,5,6,3]=>[1,2,4,6,7,5,3]=>1 [1,2,4,7,6,3,5]=>[1,2,5,6,7,3,4]=>1 [1,2,4,7,6,5,3]=>[1,2,4,7,6,5,3]=>1 [1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>1 [1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>1 [1,2,5,3,6,4,7]=>[1,2,4,5,6,3,7]=>1 [1,2,5,3,6,7,4]=>[1,2,4,5,6,7,3]=>1 [1,2,5,3,7,4,6]=>[1,2,4,7,6,3,5]=>1 [1,2,5,3,7,6,4]=>[1,2,4,5,7,6,3]=>2 [1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>1 [1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>1 [1,2,5,4,6,3,7]=>[1,2,5,4,6,3,7]=>1 [1,2,5,4,6,7,3]=>[1,2,5,4,6,7,3]=>1 [1,2,5,4,7,3,6]=>[1,2,7,4,6,3,5]=>1 [1,2,5,4,7,6,3]=>[1,2,5,4,7,6,3]=>1 [1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>1 [1,2,5,6,3,7,4]=>[1,2,6,5,4,7,3]=>1 [1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]=>1 [1,2,5,6,4,7,3]=>[1,2,5,6,4,7,3]=>1 [1,2,5,6,7,3,4]=>[1,2,5,7,6,4,3]=>1 [1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]=>1 [1,2,5,7,3,4,6]=>[1,2,6,5,7,3,4]=>1 [1,2,5,7,3,6,4]=>[1,2,7,5,4,6,3]=>1 [1,2,5,7,4,3,6]=>[1,2,5,6,7,3,4]=>1 [1,2,5,7,4,6,3]=>[1,2,7,6,4,5,3]=>1 [1,2,5,7,6,3,4]=>[1,2,5,6,7,4,3]=>1 [1,2,5,7,6,4,3]=>[1,2,5,7,6,4,3]=>1 [1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>1 [1,2,6,3,4,7,5]=>[1,2,4,5,6,7,3]=>1 [1,2,6,3,5,4,7]=>[1,2,4,6,5,3,7]=>1 [1,2,6,3,5,7,4]=>[1,2,4,6,5,7,3]=>1 [1,2,6,3,7,4,5]=>[1,2,4,7,6,5,3]=>1 [1,2,6,3,7,5,4]=>[1,2,4,6,7,5,3]=>1 [1,2,6,4,3,5,7]=>[1,2,5,4,6,3,7]=>1 [1,2,6,4,3,7,5]=>[1,2,5,4,6,7,3]=>1 [1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>1 [1,2,6,4,5,7,3]=>[1,2,5,6,4,7,3]=>1 [1,2,6,4,7,3,5]=>[1,2,7,4,6,5,3]=>1 [1,2,6,4,7,5,3]=>[1,2,5,6,7,4,3]=>1 [1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7]=>1 [1,2,6,5,3,7,4]=>[1,2,5,6,4,7,3]=>1 [1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>1 [1,2,6,5,4,7,3]=>[1,2,6,5,4,7,3]=>1 [1,2,6,5,7,3,4]=>[1,2,7,5,6,4,3]=>1 [1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]=>1 [1,2,6,7,3,4,5]=>[1,2,6,5,7,4,3]=>1 [1,2,6,7,3,5,4]=>[1,2,7,5,6,4,3]=>1 [1,2,6,7,4,3,5]=>[1,2,5,6,7,4,3]=>1 [1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>1 [1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>1 [1,2,6,7,5,4,3]=>[1,2,6,7,5,4,3]=>1 [1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>1 [1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3]=>2 [1,2,7,3,5,4,6]=>[1,2,4,6,5,7,3]=>1 [1,2,7,3,5,6,4]=>[1,2,4,6,7,5,3]=>1 [1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3]=>1 [1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3]=>1 [1,2,7,4,3,5,6]=>[1,2,5,4,6,7,3]=>1 [1,2,7,4,3,6,5]=>[1,2,5,4,7,6,3]=>1 [1,2,7,4,5,3,6]=>[1,2,5,6,4,7,3]=>1 [1,2,7,4,5,6,3]=>[1,2,5,6,7,4,3]=>1 [1,2,7,4,6,3,5]=>[1,2,7,6,4,5,3]=>1 [1,2,7,4,6,5,3]=>[1,2,5,7,6,4,3]=>1 [1,2,7,5,3,4,6]=>[1,2,5,6,4,7,3]=>1 [1,2,7,5,3,6,4]=>[1,2,5,6,7,4,3]=>1 [1,2,7,5,4,3,6]=>[1,2,6,5,4,7,3]=>1 [1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>1 [1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>1 [1,2,7,5,6,4,3]=>[1,2,6,7,5,4,3]=>1 [1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3]=>1 [1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3]=>1 [1,2,7,6,4,3,5]=>[1,2,6,5,7,4,3]=>1 [1,2,7,6,4,5,3]=>[1,2,6,7,5,4,3]=>1 [1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3]=>1 [1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>1 [1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0 [1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>1 [1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>0 [1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>0 [1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>0 [1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>0 [1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>0 [1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>0 [1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>0 [1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>0 [1,3,2,5,7,4,6]=>[1,3,2,7,6,4,5]=>0 [1,3,2,5,7,6,4]=>[1,3,2,5,7,6,4]=>0 [1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>0 [1,3,2,6,4,7,5]=>[1,3,2,5,6,7,4]=>0 [1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>0 [1,3,2,6,5,7,4]=>[1,3,2,6,5,7,4]=>0 [1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>0 [1,3,2,6,7,5,4]=>[1,3,2,6,7,5,4]=>0 [1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>0 [1,3,2,7,4,6,5]=>[1,3,2,5,7,6,4]=>0 [1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>0 [1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>0 [1,3,2,7,6,4,5]=>[1,3,2,6,7,5,4]=>0 [1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>0 [1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>0 [1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>0 [1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>0 [1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>0 [1,3,4,2,7,5,6]=>[1,3,4,2,6,7,5]=>0 [1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]=>0 [1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>0 [1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>0 [1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>0 [1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>0 [1,3,4,5,7,2,6]=>[1,3,4,7,6,2,5]=>1 [1,3,4,5,7,6,2]=>[1,3,4,5,7,6,2]=>1 [1,3,4,6,2,5,7]=>[1,3,6,5,2,4,7]=>0 [1,3,4,6,2,7,5]=>[1,3,6,5,2,7,4]=>0 [1,3,4,6,5,2,7]=>[1,3,4,6,5,2,7]=>1 [1,3,4,6,5,7,2]=>[1,3,4,6,5,7,2]=>1 [1,3,4,6,7,2,5]=>[1,3,5,7,6,2,4]=>0 [1,3,4,6,7,5,2]=>[1,3,4,6,7,5,2]=>1 [1,3,4,7,2,5,6]=>[1,3,6,5,2,7,4]=>0 [1,3,4,7,2,6,5]=>[1,3,7,5,2,6,4]=>0 [1,3,4,7,5,2,6]=>[1,3,7,6,5,2,4]=>0 [1,3,4,7,5,6,2]=>[1,3,4,6,7,5,2]=>1 [1,3,4,7,6,2,5]=>[1,3,5,6,7,2,4]=>0 [1,3,4,7,6,5,2]=>[1,3,4,7,6,5,2]=>1 [1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>0 [1,3,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>0 [1,3,5,4,6,2,7]=>[1,3,5,4,6,2,7]=>0 [1,3,5,4,6,7,2]=>[1,3,5,4,6,7,2]=>0 [1,3,5,4,7,2,6]=>[1,3,7,4,6,2,5]=>0 [1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2]=>0 [1,3,5,6,2,4,7]=>[1,4,6,5,2,3,7]=>1 [1,3,5,6,2,7,4]=>[1,4,6,5,2,7,3]=>0 [1,3,5,6,4,2,7]=>[1,3,5,6,4,2,7]=>0 [1,3,5,6,4,7,2]=>[1,3,5,6,4,7,2]=>0 [1,3,5,6,7,2,4]=>[1,4,5,7,6,2,3]=>1 [1,3,5,6,7,4,2]=>[1,3,5,6,7,4,2]=>0 [1,3,5,7,4,2,6]=>[1,3,5,6,7,2,4]=>0 [1,3,5,7,4,6,2]=>[1,3,7,6,4,5,2]=>0 [1,3,5,7,6,2,4]=>[1,4,5,6,7,2,3]=>0 [1,3,5,7,6,4,2]=>[1,3,5,7,6,4,2]=>0 [1,3,6,4,5,2,7]=>[1,3,5,6,4,2,7]=>0 [1,3,6,4,5,7,2]=>[1,3,5,6,4,7,2]=>0 [1,3,6,4,7,5,2]=>[1,3,5,6,7,4,2]=>0 [1,3,6,5,2,4,7]=>[1,4,5,6,2,3,7]=>1 [1,3,6,5,2,7,4]=>[1,4,5,6,2,7,3]=>0 [1,3,6,5,4,2,7]=>[1,3,6,5,4,2,7]=>0 [1,3,6,5,4,7,2]=>[1,3,6,5,4,7,2]=>0 [1,3,6,5,7,4,2]=>[1,3,6,5,7,4,2]=>0 [1,3,6,7,4,2,5]=>[1,4,5,6,7,2,3]=>0 [1,3,6,7,4,5,2]=>[1,3,7,6,5,4,2]=>0 [1,3,6,7,5,4,2]=>[1,3,6,7,5,4,2]=>0 [1,3,7,4,5,6,2]=>[1,3,5,6,7,4,2]=>0 [1,3,7,4,6,5,2]=>[1,3,5,7,6,4,2]=>0 [1,3,7,5,2,4,6]=>[1,4,5,6,2,7,3]=>0 [1,3,7,5,4,6,2]=>[1,3,6,5,7,4,2]=>0 [1,3,7,5,6,4,2]=>[1,3,6,7,5,4,2]=>0 [1,3,7,6,4,5,2]=>[1,3,6,7,5,4,2]=>0 [1,3,7,6,5,4,2]=>[1,3,7,6,5,4,2]=>0 [1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>0 [1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>0 [1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>0 [1,4,2,3,6,7,5]=>[1,3,4,2,6,7,5]=>0 [1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>0 [1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5]=>0 [1,4,2,5,3,6,7]=>[1,3,4,5,2,6,7]=>0 [1,4,2,5,3,7,6]=>[1,3,4,5,2,7,6]=>0 [1,4,2,5,6,3,7]=>[1,3,4,5,6,2,7]=>0 [1,4,2,5,6,7,3]=>[1,3,4,5,6,7,2]=>0 [1,4,2,5,7,3,6]=>[1,3,4,7,6,2,5]=>1 [1,4,2,5,7,6,3]=>[1,3,4,5,7,6,2]=>1 [1,4,2,6,3,5,7]=>[1,3,6,5,2,4,7]=>0 [1,4,2,6,3,7,5]=>[1,3,6,5,2,7,4]=>0 [1,4,2,6,5,3,7]=>[1,3,4,6,5,2,7]=>1 [1,4,2,6,5,7,3]=>[1,3,4,6,5,7,2]=>1 [1,4,2,6,7,3,5]=>[1,3,5,7,6,2,4]=>0 [1,4,2,6,7,5,3]=>[1,3,4,6,7,5,2]=>1 [1,4,2,7,3,5,6]=>[1,3,6,5,2,7,4]=>0 [1,4,2,7,3,6,5]=>[1,3,7,5,2,6,4]=>0 [1,4,2,7,5,3,6]=>[1,3,7,6,5,2,4]=>0 [1,4,2,7,5,6,3]=>[1,3,4,6,7,5,2]=>1 [1,4,2,7,6,3,5]=>[1,3,5,6,7,2,4]=>0 [1,4,2,7,6,5,3]=>[1,3,4,7,6,5,2]=>1 [1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>0 [1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>0 [1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>0 [1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]=>0 [1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5]=>0 [1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>0 [1,4,3,5,2,6,7]=>[1,4,3,5,2,6,7]=>0 [1,4,3,5,2,7,6]=>[1,4,3,5,2,7,6]=>0 [1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>0 [1,4,3,5,6,7,2]=>[1,4,3,5,6,7,2]=>0 [1,4,3,5,7,2,6]=>[1,4,3,7,6,2,5]=>0 [1,4,3,5,7,6,2]=>[1,4,3,5,7,6,2]=>0 [1,4,3,6,5,2,7]=>[1,4,3,6,5,2,7]=>0 [1,4,3,6,5,7,2]=>[1,4,3,6,5,7,2]=>0 [1,4,3,6,7,5,2]=>[1,4,3,6,7,5,2]=>0 [1,4,3,7,5,6,2]=>[1,4,3,6,7,5,2]=>0 [1,4,3,7,6,5,2]=>[1,4,3,7,6,5,2]=>0 [1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]=>0 [1,4,5,3,2,7,6]=>[1,4,5,3,2,7,6]=>0 [1,4,5,3,6,2,7]=>[1,4,5,3,6,2,7]=>0 [1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]=>0 [1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]=>0 [1,4,5,6,2,3,7]=>[1,4,6,5,3,2,7]=>0 [1,4,5,6,2,7,3]=>[1,4,6,5,3,7,2]=>0 [1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]=>0 [1,4,5,6,3,7,2]=>[1,4,5,6,3,7,2]=>0 [1,4,5,6,7,2,3]=>[1,4,5,7,6,3,2]=>1 [1,4,5,6,7,3,2]=>[1,4,5,6,7,3,2]=>0 [1,4,5,7,6,2,3]=>[1,4,5,6,7,3,2]=>0 [1,4,5,7,6,3,2]=>[1,4,5,7,6,3,2]=>1 [1,4,6,3,2,5,7]=>[1,4,5,6,2,3,7]=>1 [1,4,6,3,2,7,5]=>[1,4,5,6,2,7,3]=>0 [1,4,6,5,2,3,7]=>[1,4,5,6,3,2,7]=>0 [1,4,6,5,2,7,3]=>[1,4,5,6,3,7,2]=>0 [1,4,6,5,3,2,7]=>[1,4,6,5,3,2,7]=>0 [1,4,6,5,3,7,2]=>[1,4,6,5,3,7,2]=>0 [1,4,7,3,2,5,6]=>[1,4,5,6,2,7,3]=>0 [1,4,7,3,2,6,5]=>[1,4,5,7,2,6,3]=>1 [1,4,7,5,2,3,6]=>[1,4,5,6,7,2,3]=>0 [1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>0 [1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>0 [1,5,2,3,6,4,7]=>[1,3,4,5,6,2,7]=>0 [1,5,2,3,6,7,4]=>[1,3,4,5,6,7,2]=>0 [1,5,2,3,7,4,6]=>[1,3,4,7,6,2,5]=>1 [1,5,2,3,7,6,4]=>[1,3,4,5,7,6,2]=>1 [1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]=>0 [1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6]=>0 [1,5,2,4,6,3,7]=>[1,3,5,4,6,2,7]=>0 [1,5,2,4,6,7,3]=>[1,3,5,4,6,7,2]=>0 [1,5,2,4,7,3,6]=>[1,3,7,4,6,2,5]=>0 [1,5,2,4,7,6,3]=>[1,3,5,4,7,6,2]=>0 [1,5,2,6,3,4,7]=>[1,3,6,5,4,2,7]=>0 [1,5,2,6,3,7,4]=>[1,3,6,5,4,7,2]=>0 [1,5,2,6,4,3,7]=>[1,3,5,6,4,2,7]=>0 [1,5,2,6,4,7,3]=>[1,3,5,6,4,7,2]=>0 [1,5,2,6,7,3,4]=>[1,3,5,7,6,4,2]=>0 [1,5,2,6,7,4,3]=>[1,3,5,6,7,4,2]=>0 [1,5,2,7,3,4,6]=>[1,3,6,5,7,2,4]=>0 [1,5,2,7,3,6,4]=>[1,3,7,5,4,6,2]=>0 [1,5,2,7,4,3,6]=>[1,3,5,6,7,2,4]=>0 [1,5,2,7,4,6,3]=>[1,3,7,6,4,5,2]=>0 [1,5,2,7,6,3,4]=>[1,3,5,6,7,4,2]=>0 [1,5,2,7,6,4,3]=>[1,3,5,7,6,4,2]=>0 [1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]=>0 [1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6]=>0 [1,5,3,2,6,4,7]=>[1,4,3,5,6,2,7]=>0 [1,5,3,2,6,7,4]=>[1,4,3,5,6,7,2]=>0 [1,5,3,2,7,4,6]=>[1,4,3,7,6,2,5]=>0 [1,5,3,2,7,6,4]=>[1,4,3,5,7,6,2]=>0 [1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>0 [1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>0 [1,5,3,4,6,2,7]=>[1,4,5,3,6,2,7]=>0 [1,5,3,4,6,7,2]=>[1,4,5,3,6,7,2]=>0 [1,5,3,4,7,6,2]=>[1,4,5,3,7,6,2]=>0 [1,5,3,6,4,2,7]=>[1,4,5,6,3,2,7]=>0 [1,5,3,6,4,7,2]=>[1,4,5,6,3,7,2]=>0 [1,5,3,6,7,4,2]=>[1,4,5,6,7,3,2]=>0 [1,5,3,7,6,4,2]=>[1,4,5,7,6,3,2]=>1 [1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7]=>0 [1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6]=>0 [1,5,4,2,6,3,7]=>[1,4,5,3,6,2,7]=>0 [1,5,4,2,6,7,3]=>[1,4,5,3,6,7,2]=>0 [1,5,4,2,7,6,3]=>[1,4,5,3,7,6,2]=>0 [1,5,6,3,2,4,7]=>[1,4,5,6,3,2,7]=>0 [1,5,6,3,2,7,4]=>[1,4,5,6,3,7,2]=>0 [1,5,7,3,2,4,6]=>[1,4,5,6,7,2,3]=>0 [1,5,7,3,2,6,4]=>[1,4,5,7,3,6,2]=>1 [1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>0 [1,6,2,3,4,7,5]=>[1,3,4,5,6,7,2]=>0 [1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7]=>1 [1,6,2,3,5,7,4]=>[1,3,4,6,5,7,2]=>1 [1,6,2,3,7,4,5]=>[1,3,4,7,6,5,2]=>1 [1,6,2,3,7,5,4]=>[1,3,4,6,7,5,2]=>1 [1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7]=>0 [1,6,2,4,3,7,5]=>[1,3,5,4,6,7,2]=>0 [1,6,2,4,5,3,7]=>[1,3,5,6,4,2,7]=>0 [1,6,2,4,5,7,3]=>[1,3,5,6,4,7,2]=>0 [1,6,2,4,7,3,5]=>[1,3,7,4,6,5,2]=>0 [1,6,2,4,7,5,3]=>[1,3,5,6,7,4,2]=>0 [1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7]=>0 [1,6,2,5,3,7,4]=>[1,3,5,6,4,7,2]=>0 [1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7]=>0 [1,6,2,5,4,7,3]=>[1,3,6,5,4,7,2]=>0 [1,6,2,5,7,3,4]=>[1,3,7,5,6,4,2]=>0 [1,6,2,5,7,4,3]=>[1,3,6,5,7,4,2]=>0 [1,6,2,7,3,4,5]=>[1,3,6,5,7,4,2]=>0 [1,6,2,7,3,5,4]=>[1,3,7,5,6,4,2]=>0 [1,6,2,7,4,3,5]=>[1,3,5,6,7,4,2]=>0 [1,6,2,7,4,5,3]=>[1,3,7,6,5,4,2]=>0 [1,6,2,7,5,3,4]=>[1,3,7,6,5,4,2]=>0 [1,6,2,7,5,4,3]=>[1,3,6,7,5,4,2]=>0 [1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]=>0 [1,6,3,2,4,7,5]=>[1,4,3,5,6,7,2]=>0 [1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>0 [1,6,3,2,5,7,4]=>[1,4,3,6,5,7,2]=>0 [1,6,3,2,7,4,5]=>[1,4,3,7,6,5,2]=>0 [1,6,3,2,7,5,4]=>[1,4,3,6,7,5,2]=>0 [1,6,3,4,2,5,7]=>[1,4,5,3,6,2,7]=>0 [1,6,3,4,2,7,5]=>[1,4,5,3,6,7,2]=>0 [1,6,3,4,5,2,7]=>[1,4,5,6,3,2,7]=>0 [1,6,3,4,5,7,2]=>[1,4,5,6,3,7,2]=>0 [1,6,3,4,7,5,2]=>[1,4,5,6,7,3,2]=>0 [1,6,3,5,4,2,7]=>[1,4,6,5,3,2,7]=>0 [1,6,3,5,4,7,2]=>[1,4,6,5,3,7,2]=>0 [1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7]=>0 [1,6,4,2,3,7,5]=>[1,4,5,3,6,7,2]=>0 [1,6,4,2,5,3,7]=>[1,4,5,6,3,2,7]=>0 [1,6,4,2,5,7,3]=>[1,4,5,6,3,7,2]=>0 [1,6,4,2,7,5,3]=>[1,4,5,6,7,3,2]=>0 [1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7]=>0 [1,6,5,2,3,7,4]=>[1,4,5,6,3,7,2]=>0 [1,6,5,2,4,3,7]=>[1,4,6,5,3,2,7]=>0 [1,6,5,2,4,7,3]=>[1,4,6,5,3,7,2]=>0 [1,6,7,3,2,4,5]=>[1,4,5,6,7,3,2]=>0 [1,6,7,3,2,5,4]=>[1,4,5,7,6,3,2]=>1 [1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>0 [1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2]=>1 [1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2]=>1 [1,7,2,3,5,6,4]=>[1,3,4,6,7,5,2]=>1 [1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2]=>1 [1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2]=>1 [1,7,2,4,3,5,6]=>[1,3,5,4,6,7,2]=>0 [1,7,2,4,3,6,5]=>[1,3,5,4,7,6,2]=>0 [1,7,2,4,5,3,6]=>[1,3,5,6,4,7,2]=>0 [1,7,2,4,5,6,3]=>[1,3,5,6,7,4,2]=>0 [1,7,2,4,6,3,5]=>[1,3,7,6,4,5,2]=>0 [1,7,2,4,6,5,3]=>[1,3,5,7,6,4,2]=>0 [1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2]=>0 [1,7,2,5,3,6,4]=>[1,3,5,6,7,4,2]=>0 [1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2]=>0 [1,7,2,5,4,6,3]=>[1,3,6,5,7,4,2]=>0 [1,7,2,5,6,3,4]=>[1,3,7,6,5,4,2]=>0 [1,7,2,5,6,4,3]=>[1,3,6,7,5,4,2]=>0 [1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2]=>0 [1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2]=>0 [1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2]=>0 [1,7,2,6,4,5,3]=>[1,3,6,7,5,4,2]=>0 [1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2]=>0 [1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2]=>0 [1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2]=>0 [1,7,3,2,4,6,5]=>[1,4,3,5,7,6,2]=>0 [1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2]=>0 [1,7,3,2,5,6,4]=>[1,4,3,6,7,5,2]=>0 [1,7,3,2,6,4,5]=>[1,4,3,6,7,5,2]=>0 [1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>0 [1,7,3,4,2,5,6]=>[1,4,5,3,6,7,2]=>0 [1,7,3,4,2,6,5]=>[1,4,5,3,7,6,2]=>0 [1,7,3,4,5,2,6]=>[1,4,5,6,3,7,2]=>0 [1,7,3,4,5,6,2]=>[1,4,5,6,7,3,2]=>0 [1,7,3,4,6,5,2]=>[1,4,5,7,6,3,2]=>1 [1,7,3,5,4,2,6]=>[1,4,6,5,3,7,2]=>0 [1,7,4,2,3,5,6]=>[1,4,5,3,6,7,2]=>0 [1,7,4,2,3,6,5]=>[1,4,5,3,7,6,2]=>0 [1,7,4,2,5,3,6]=>[1,4,5,6,3,7,2]=>0 [1,7,4,2,5,6,3]=>[1,4,5,6,7,3,2]=>0 [1,7,4,2,6,5,3]=>[1,4,5,7,6,3,2]=>1 [1,7,5,2,3,4,6]=>[1,4,5,6,3,7,2]=>0 [1,7,5,2,3,6,4]=>[1,4,5,6,7,3,2]=>0 [1,7,5,2,4,3,6]=>[1,4,6,5,3,7,2]=>0 [1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]=>0 [1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]=>1
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Description
The number of right ropes of a permutation.
Let $\pi$ be a permutation of length $n$. A raft of $\pi$ is a non-empty maximal sequence of consecutive small ascents, St000441The number of successions of a permutation., and a right rope is a large ascent after a raft of $\pi$.
See Definition 3.10 and Example 3.11 in [1].
Map
catalanization
Description
The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.