Identifier
Values
=>
[1]=>[1]=>[1]=>0 [1,1]=>[1,2]=>[1,2]=>0 [1,2]=>[1,2]=>[1,2]=>0 [2,1]=>[2,1]=>[2,1]=>1 [1,1,1]=>[1,2,3]=>[1,2,3]=>0 [1,1,2]=>[1,2,3]=>[1,2,3]=>0 [1,2,1]=>[1,3,2]=>[1,3,2]=>1 [2,1,1]=>[2,3,1]=>[2,3,1]=>1 [1,1,3]=>[1,2,3]=>[1,2,3]=>0 [1,3,1]=>[1,3,2]=>[1,3,2]=>1 [3,1,1]=>[2,3,1]=>[2,3,1]=>1 [1,2,2]=>[1,2,3]=>[1,2,3]=>0 [2,1,2]=>[2,1,3]=>[2,1,3]=>1 [2,2,1]=>[3,1,2]=>[3,1,2]=>1 [1,2,3]=>[1,2,3]=>[1,2,3]=>0 [1,3,2]=>[1,3,2]=>[1,3,2]=>1 [2,1,3]=>[2,1,3]=>[2,1,3]=>1 [2,3,1]=>[3,1,2]=>[3,1,2]=>1 [3,1,2]=>[2,3,1]=>[2,3,1]=>1 [3,2,1]=>[3,2,1]=>[3,2,1]=>2 [1,1,1,1]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,1,2]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,2,1]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,2,1,1]=>[1,3,4,2]=>[1,3,4,2]=>1 [2,1,1,1]=>[2,3,4,1]=>[2,3,4,1]=>1 [1,1,1,3]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,3,1]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,3,1,1]=>[1,3,4,2]=>[1,3,4,2]=>1 [3,1,1,1]=>[2,3,4,1]=>[2,3,4,1]=>1 [1,1,1,4]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,4,1]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,4,1,1]=>[1,3,4,2]=>[1,3,4,2]=>1 [4,1,1,1]=>[2,3,4,1]=>[2,3,4,1]=>1 [1,1,2,2]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,2,1,2]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,2,2,1]=>[1,4,2,3]=>[1,4,2,3]=>1 [2,1,1,2]=>[2,3,1,4]=>[2,3,1,4]=>1 [2,1,2,1]=>[2,4,1,3]=>[2,4,1,3]=>2 [2,2,1,1]=>[3,4,1,2]=>[3,4,1,2]=>1 [1,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,3,2]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,2,3,1]=>[1,4,2,3]=>[1,4,2,3]=>1 [1,3,1,2]=>[1,3,4,2]=>[1,3,4,2]=>1 [1,3,2,1]=>[1,4,3,2]=>[1,4,3,2]=>2 [2,1,1,3]=>[2,3,1,4]=>[2,3,1,4]=>1 [2,1,3,1]=>[2,4,1,3]=>[2,4,1,3]=>2 [2,3,1,1]=>[3,4,1,2]=>[3,4,1,2]=>1 [3,1,1,2]=>[2,3,4,1]=>[2,3,4,1]=>1 [3,1,2,1]=>[2,4,3,1]=>[2,4,3,1]=>2 [3,2,1,1]=>[3,4,2,1]=>[3,4,2,1]=>2 [1,1,2,4]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,4,2]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,2,1,4]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,2,4,1]=>[1,4,2,3]=>[1,4,2,3]=>1 [1,4,1,2]=>[1,3,4,2]=>[1,3,4,2]=>1 [1,4,2,1]=>[1,4,3,2]=>[1,4,3,2]=>2 [2,1,1,4]=>[2,3,1,4]=>[2,3,1,4]=>1 [2,1,4,1]=>[2,4,1,3]=>[2,4,1,3]=>2 [2,4,1,1]=>[3,4,1,2]=>[3,4,1,2]=>1 [4,1,1,2]=>[2,3,4,1]=>[2,3,4,1]=>1 [4,1,2,1]=>[2,4,3,1]=>[2,4,3,1]=>2 [4,2,1,1]=>[3,4,2,1]=>[3,4,2,1]=>2 [1,1,3,3]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,3,1,3]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,3,3,1]=>[1,4,2,3]=>[1,4,2,3]=>1 [3,1,1,3]=>[2,3,1,4]=>[2,3,1,4]=>1 [3,1,3,1]=>[2,4,1,3]=>[2,4,1,3]=>2 [3,3,1,1]=>[3,4,1,2]=>[3,4,1,2]=>1 [1,1,3,4]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,1,4,3]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,3,1,4]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,3,4,1]=>[1,4,2,3]=>[1,4,2,3]=>1 [1,4,1,3]=>[1,3,4,2]=>[1,3,4,2]=>1 [1,4,3,1]=>[1,4,3,2]=>[1,4,3,2]=>2 [3,1,1,4]=>[2,3,1,4]=>[2,3,1,4]=>1 [3,1,4,1]=>[2,4,1,3]=>[2,4,1,3]=>2 [3,4,1,1]=>[3,4,1,2]=>[3,4,1,2]=>1 [4,1,1,3]=>[2,3,4,1]=>[2,3,4,1]=>1 [4,1,3,1]=>[2,4,3,1]=>[2,4,3,1]=>2 [4,3,1,1]=>[3,4,2,1]=>[3,4,2,1]=>2 [1,2,2,2]=>[1,2,3,4]=>[1,2,3,4]=>0 [2,1,2,2]=>[2,1,3,4]=>[2,1,3,4]=>1 [2,2,1,2]=>[3,1,2,4]=>[3,1,2,4]=>1 [2,2,2,1]=>[4,1,2,3]=>[4,1,2,3]=>1 [1,2,2,3]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,2,3,2]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,3,2,2]=>[1,3,4,2]=>[1,3,4,2]=>1 [2,1,2,3]=>[2,1,3,4]=>[2,1,3,4]=>1 [2,1,3,2]=>[2,1,4,3]=>[2,1,4,3]=>2 [2,2,1,3]=>[3,1,2,4]=>[3,1,2,4]=>1 [2,2,3,1]=>[4,1,2,3]=>[4,1,2,3]=>1 [2,3,1,2]=>[3,1,4,2]=>[3,1,4,2]=>1 [2,3,2,1]=>[4,1,3,2]=>[4,1,3,2]=>2 [3,1,2,2]=>[2,3,4,1]=>[2,3,4,1]=>1 [3,2,1,2]=>[3,2,4,1]=>[3,2,4,1]=>2 [3,2,2,1]=>[4,2,3,1]=>[4,2,3,1]=>2 [1,2,2,4]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,2]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,4,2,2]=>[1,3,4,2]=>[1,3,4,2]=>1 [2,1,2,4]=>[2,1,3,4]=>[2,1,3,4]=>1 [2,1,4,2]=>[2,1,4,3]=>[2,1,4,3]=>2 [2,2,1,4]=>[3,1,2,4]=>[3,1,2,4]=>1 [2,2,4,1]=>[4,1,2,3]=>[4,1,2,3]=>1 [2,4,1,2]=>[3,1,4,2]=>[3,1,4,2]=>1 [2,4,2,1]=>[4,1,3,2]=>[4,1,3,2]=>2 [4,1,2,2]=>[2,3,4,1]=>[2,3,4,1]=>1 [4,2,1,2]=>[3,2,4,1]=>[3,2,4,1]=>2 [4,2,2,1]=>[4,2,3,1]=>[4,2,3,1]=>2 [1,2,3,3]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,3,2,3]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,3,3,2]=>[1,4,2,3]=>[1,4,2,3]=>1 [2,1,3,3]=>[2,1,3,4]=>[2,1,3,4]=>1 [2,3,1,3]=>[3,1,2,4]=>[3,1,2,4]=>1 [2,3,3,1]=>[4,1,2,3]=>[4,1,2,3]=>1 [3,1,2,3]=>[2,3,1,4]=>[2,3,1,4]=>1 [3,1,3,2]=>[2,4,1,3]=>[2,4,1,3]=>2 [3,2,1,3]=>[3,2,1,4]=>[3,2,1,4]=>2 [3,2,3,1]=>[4,2,1,3]=>[4,2,1,3]=>2 [3,3,1,2]=>[3,4,1,2]=>[3,4,1,2]=>1 [3,3,2,1]=>[4,3,1,2]=>[4,3,1,2]=>2 [1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>1 [1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>1 [1,3,4,2]=>[1,4,2,3]=>[1,4,2,3]=>1 [1,4,2,3]=>[1,3,4,2]=>[1,3,4,2]=>1 [1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>2 [2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>1 [2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>2 [2,3,1,4]=>[3,1,2,4]=>[3,1,2,4]=>1 [2,3,4,1]=>[4,1,2,3]=>[4,1,2,3]=>1 [2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>1 [2,4,3,1]=>[4,1,3,2]=>[4,1,3,2]=>2 [3,1,2,4]=>[2,3,1,4]=>[2,3,1,4]=>1 [3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>2 [3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>2 [3,2,4,1]=>[4,2,1,3]=>[4,2,1,3]=>2 [3,4,1,2]=>[3,4,1,2]=>[3,4,1,2]=>1 [3,4,2,1]=>[4,3,1,2]=>[4,3,1,2]=>2 [4,1,2,3]=>[2,3,4,1]=>[2,3,4,1]=>1 [4,1,3,2]=>[2,4,3,1]=>[2,4,3,1]=>2 [4,2,1,3]=>[3,2,4,1]=>[3,2,4,1]=>2 [4,2,3,1]=>[4,2,3,1]=>[4,2,3,1]=>2 [4,3,1,2]=>[3,4,2,1]=>[3,4,2,1]=>2 [4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>3 [1,1,1,1,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,2,1,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,1,1,1]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,1,1,1,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,3,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,1,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,1,1,1]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,1,1,1,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,1,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,4,1,1,1]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,1,1,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,5,1,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,5,1,1,1]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,1,1,2,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,1,2]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,2,2,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,1,1,2]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,2,1,2,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,2,2,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,1,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,3,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,2,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,2,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,3,1,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,3,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,1,3]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,2,1,3,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,2,3,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,3,1,1,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,3,1,2,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,3,2,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,1,2,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,2,1,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,2,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,4,1,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,4,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,1,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,2,1,4,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,2,4,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,1,1,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,1,2,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,4,2,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,1,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,5,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,2,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,1,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,1,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,2,1,5,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,2,5,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,5,1,1,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,2,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,2,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,1,3,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,3,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,3,1,1,3]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,3,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,3,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,1,1,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,1,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,4,1,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,4,3,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,1,1,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,4,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,4,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,1,1,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,1,3,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,4,3,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,1,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,1,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,3,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,1,1,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,5,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,5,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,5,1,1,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,3,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,3,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,1,4,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,4,1,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,4,1,1,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,4,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,4,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,1,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,1,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,1,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,4,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,4,1,1,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,5,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,5,1,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,5,1,1,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,4,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,4,1,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,1,2,2,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,1,2,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,2,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,2,2,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,1,2,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,3,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,1,2,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,3,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,2,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,2,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,3,1,2]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,3,2,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,3,1,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,3,2,1,2]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,3,2,2,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,1,2,2,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,1,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,2,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,4,1,2]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,4,2,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,1,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,2,1,2]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,4,2,2,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,1,2,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,5,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,5,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,5,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,2,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,2,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,5,1,2]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,5,2,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,5,1,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,2,1,2]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,2,2,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,1,2,3,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,3,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,1,3,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,3,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,3,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,1,2,3]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,3,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,2,1,3]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,3,2,3,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,3,3,1,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,3,3,2,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,4,2,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,4,3,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,3,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,4,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,4,1,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,4,3,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,3,1,2,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,4,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,2,1,4]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,3,2,4,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,3,4,1,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,3,4,2,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,4,1,2,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,1,3,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,4,2,1,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,4,2,3,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,4,3,1,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,4,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>3 [1,1,2,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,3,5,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,2,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,3,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,3,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,5,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,3,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,5,1,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,5,3,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,3,1,2,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,1,5,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,2,1,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,3,2,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,3,5,1,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,3,5,2,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,5,1,2,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,3,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,2,1,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,2,3,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,5,3,1,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,5,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>3 [1,1,2,4,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,4,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,1,4,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,4,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,4,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,4,1,2,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,4,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,2,1,4]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,2,4,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,4,1,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,4,2,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,1,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,2,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,5,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,2,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,4,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,2,1,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,2,4,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,2,4,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,5,1,4]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,2,5,4,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,1,2,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,5,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,2,1,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,2,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,5,1,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,5,2,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,5,1,2,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,4,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,2,1,4]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,2,4,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,5,4,1,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,5,4,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>3 [1,1,3,3,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,3,1,3,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,3,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,1,3,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,3,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,3,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,1,3,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,1,4,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,4,1,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,4,3,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,1,3,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,3,1,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,4,3,3,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,1,3,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,3,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,5,3,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,1,3,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,1,5,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,5,1,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,5,3,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,5,1,3,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,3,1,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,3,3,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,1,3,4,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,4,3,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,3,1,4,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,4,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,4,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,4,1,3,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,4,3]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,3,1,4]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,3,4,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,4,1,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,4,3,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,1,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,1,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,1,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,1,5,3,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,1,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,1,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,4,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,4,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,5,1,4]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,5,4,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,1,3,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,1,5,3]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,3,1,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,3,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,5,1,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,5,3,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,5,1,3,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,1,4,3]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,3,1,4]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,3,4,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,5,4,1,3]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,5,4,3,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>3 [1,2,2,2,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,3,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,3,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,2,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,2,2,2,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,4,2,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,2,2,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,5,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,5,2,2]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,5,2,2,2]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,2,2,3,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,3,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,3,2,2,3]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,2,3,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,3,2,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,2,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,3,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,4,2,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,4,3,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,2,2,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,2,4,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,4,2,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,2,2,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,2,3,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,4,3,2,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,2,2,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,3,5,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,5,2,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,5,3,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,2,2,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,3,2,5,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,3,5,2,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,5,2,2,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,2,3,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,3,2,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,2,2,4,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,4,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,4,2,2,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,2,4,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,4,2,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,2,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,2,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,5,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,5,2,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,5,4,2]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,4,2,2,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,2,5,2]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,5,2,2]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,5,2,2,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,2,4,2]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,4,2,2]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,2,3,3,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,3,2,3,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,3,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,2,3,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,3,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,2,3,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,2,4,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,3,2,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,4,2,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,4,3,2]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,2,3,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,4,3,2,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,4,3,3,2]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,2,3,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,5,3,3]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,3,2,3,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,2,5,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,3,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,5,2,3]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,5,3,2]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,5,2,3,3]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,3,2,3]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,3,3,2]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,2,3,4,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,4,3,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,3,2,4,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,4,2,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,4,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,4,2,3,4]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,2,4,3]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,3,2,4]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,3,4,2]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,4,2,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,4,3,2]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1 [1,2,5,3,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1 [1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,4,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1 [1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1 [1,3,5,2,4]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1 [1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,2,4,3]=>2 [1,4,2,3,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1 [1,4,2,5,3]=>[1,3,5,2,4]=>[1,3,5,2,4]=>2 [1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,3,2,4]=>2 [1,4,5,2,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1 [1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,2,3]=>2 [1,5,2,3,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1 [1,5,2,4,3]=>[1,3,5,4,2]=>[1,3,5,4,2]=>2 [1,5,3,2,4]=>[1,4,3,5,2]=>[1,4,3,5,2]=>2 [1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,3,4,2]=>2 [1,5,4,2,3]=>[1,4,5,3,2]=>[1,4,5,3,2]=>2 [1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>3
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 right descents of a signed permutations.
An index is a right descent if it is a left descent of the inverse signed permutation.
Map
to labelling permutation
Description
Returns the labelling of the support Dyck path of the parking function.
Map
to signed permutation
Description
The signed permutation with all signs positive.