edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>1 [2,1]=>1 [1,2,3]=>1 [1,3,2]=>1 [2,1,3]=>1 [2,3,1]=>1 [3,1,2]=>1 [3,2,1]=>1 [1,2,3,4]=>2 [1,2,4,3]=>2 [1,3,2,4]=>2 [1,3,4,2]=>2 [1,4,2,3]=>2 [1,4,3,2]=>1 [2,1,3,4]=>2 [2,1,4,3]=>2 [2,3,1,4]=>2 [2,3,4,1]=>1 [2,4,1,3]=>2 [2,4,3,1]=>2 [3,1,2,4]=>2 [3,1,4,2]=>2 [3,2,1,4]=>1 [3,2,4,1]=>2 [3,4,1,2]=>2 [3,4,2,1]=>2 [4,1,2,3]=>1 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>2 [4,3,1,2]=>2 [4,3,2,1]=>2 [1,2,3,4,5]=>2 [1,2,3,5,4]=>2 [1,2,4,3,5]=>2 [1,2,4,5,3]=>2 [1,2,5,3,4]=>2 [1,2,5,4,3]=>2 [1,3,2,4,5]=>2 [1,3,2,5,4]=>2 [1,3,4,2,5]=>2 [1,3,4,5,2]=>2 [1,3,5,2,4]=>2 [1,3,5,4,2]=>2 [1,4,2,3,5]=>2 [1,4,2,5,3]=>2 [1,4,3,2,5]=>2 [1,4,3,5,2]=>2 [1,4,5,2,3]=>2 [1,4,5,3,2]=>2 [1,5,2,3,4]=>2 [1,5,2,4,3]=>2 [1,5,3,2,4]=>2 [1,5,3,4,2]=>2 [1,5,4,2,3]=>2 [1,5,4,3,2]=>2 [2,1,3,4,5]=>2 [2,1,3,5,4]=>2 [2,1,4,3,5]=>2 [2,1,4,5,3]=>2 [2,1,5,3,4]=>2 [2,1,5,4,3]=>2 [2,3,1,4,5]=>2 [2,3,1,5,4]=>2 [2,3,4,1,5]=>2 [2,3,4,5,1]=>2 [2,3,5,1,4]=>2 [2,3,5,4,1]=>2 [2,4,1,3,5]=>2 [2,4,1,5,3]=>2 [2,4,3,1,5]=>2 [2,4,3,5,1]=>2 [2,4,5,1,3]=>2 [2,4,5,3,1]=>2 [2,5,1,3,4]=>2 [2,5,1,4,3]=>2 [2,5,3,1,4]=>2 [2,5,3,4,1]=>2 [2,5,4,1,3]=>2 [2,5,4,3,1]=>2 [3,1,2,4,5]=>2 [3,1,2,5,4]=>2 [3,1,4,2,5]=>2 [3,1,4,5,2]=>2 [3,1,5,2,4]=>2 [3,1,5,4,2]=>2 [3,2,1,4,5]=>2 [3,2,1,5,4]=>2 [3,2,4,1,5]=>2 [3,2,4,5,1]=>2 [3,2,5,1,4]=>2 [3,2,5,4,1]=>2 [3,4,1,2,5]=>2 [3,4,1,5,2]=>2 [3,4,2,1,5]=>2 [3,4,2,5,1]=>2 [3,4,5,1,2]=>2 [3,4,5,2,1]=>2 [3,5,1,2,4]=>2 [3,5,1,4,2]=>2 [3,5,2,1,4]=>2 [3,5,2,4,1]=>2 [3,5,4,1,2]=>2 [3,5,4,2,1]=>2 [4,1,2,3,5]=>2 [4,1,2,5,3]=>2 [4,1,3,2,5]=>2 [4,1,3,5,2]=>2 [4,1,5,2,3]=>2 [4,1,5,3,2]=>2 [4,2,1,3,5]=>2 [4,2,1,5,3]=>2 [4,2,3,1,5]=>2 [4,2,3,5,1]=>2 [4,2,5,1,3]=>2 [4,2,5,3,1]=>2 [4,3,1,2,5]=>2 [4,3,1,5,2]=>2 [4,3,2,1,5]=>2 [4,3,2,5,1]=>2 [4,3,5,1,2]=>2 [4,3,5,2,1]=>2 [4,5,1,2,3]=>2 [4,5,1,3,2]=>2 [4,5,2,1,3]=>2 [4,5,2,3,1]=>2 [4,5,3,1,2]=>2 [4,5,3,2,1]=>2 [5,1,2,3,4]=>2 [5,1,2,4,3]=>2 [5,1,3,2,4]=>2 [5,1,3,4,2]=>2 [5,1,4,2,3]=>2 [5,1,4,3,2]=>2 [5,2,1,3,4]=>2 [5,2,1,4,3]=>2 [5,2,3,1,4]=>2 [5,2,3,4,1]=>2 [5,2,4,1,3]=>2 [5,2,4,3,1]=>2 [5,3,1,2,4]=>2 [5,3,1,4,2]=>2 [5,3,2,1,4]=>2 [5,3,2,4,1]=>2 [5,3,4,1,2]=>2 [5,3,4,2,1]=>2 [5,4,1,2,3]=>2 [5,4,1,3,2]=>2 [5,4,2,1,3]=>2 [5,4,2,3,1]=>2 [5,4,3,1,2]=>2 [5,4,3,2,1]=>2 [1,2,3,4,5,6]=>3 [1,2,3,4,6,5]=>3 [1,2,3,5,4,6]=>3 [1,2,3,5,6,4]=>3 [1,2,3,6,4,5]=>3 [1,2,3,6,5,4]=>2 [1,2,4,3,5,6]=>3 [1,2,4,3,6,5]=>3 [1,2,4,5,3,6]=>3 [1,2,4,5,6,3]=>3 [1,2,4,6,3,5]=>3 [1,2,4,6,5,3]=>3 [1,2,5,3,4,6]=>3 [1,2,5,3,6,4]=>3 [1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>3 [1,2,5,6,3,4]=>3 [1,2,5,6,4,3]=>3 [1,2,6,3,4,5]=>3 [1,2,6,3,5,4]=>3 [1,2,6,4,3,5]=>3 [1,2,6,4,5,3]=>3 [1,2,6,5,3,4]=>3 [1,2,6,5,4,3]=>3 [1,3,2,4,5,6]=>3 [1,3,2,4,6,5]=>3 [1,3,2,5,4,6]=>3 [1,3,2,5,6,4]=>3 [1,3,2,6,4,5]=>3 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>3 [1,3,4,2,6,5]=>3 [1,3,4,5,2,6]=>3 [1,3,4,5,6,2]=>2 [1,3,4,6,2,5]=>3 [1,3,4,6,5,2]=>3 [1,3,5,2,4,6]=>3 [1,3,5,2,6,4]=>3 [1,3,5,4,2,6]=>2 [1,3,5,4,6,2]=>3 [1,3,5,6,2,4]=>3 [1,3,5,6,4,2]=>3 [1,3,6,2,4,5]=>3 [1,3,6,2,5,4]=>3 [1,3,6,4,2,5]=>3 [1,3,6,4,5,2]=>3 [1,3,6,5,2,4]=>3 [1,3,6,5,4,2]=>3 [1,4,2,3,5,6]=>3 [1,4,2,3,6,5]=>3 [1,4,2,5,3,6]=>3 [1,4,2,5,6,3]=>3 [1,4,2,6,3,5]=>3 [1,4,2,6,5,3]=>3 [1,4,3,2,5,6]=>2 [1,4,3,2,6,5]=>3 [1,4,3,5,2,6]=>2 [1,4,3,5,6,2]=>2 [1,4,3,6,2,5]=>3 [1,4,3,6,5,2]=>3 [1,4,5,2,3,6]=>3 [1,4,5,2,6,3]=>3 [1,4,5,3,2,6]=>2 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>3 [1,4,5,6,3,2]=>2 [1,4,6,2,3,5]=>3 [1,4,6,2,5,3]=>2 [1,4,6,3,2,5]=>3 [1,4,6,3,5,2]=>3 [1,4,6,5,2,3]=>2 [1,4,6,5,3,2]=>3 [1,5,2,3,4,6]=>3 [1,5,2,3,6,4]=>3 [1,5,2,4,3,6]=>2 [1,5,2,4,6,3]=>3 [1,5,2,6,3,4]=>3 [1,5,2,6,4,3]=>3 [1,5,3,2,4,6]=>2 [1,5,3,2,6,4]=>3 [1,5,3,4,2,6]=>2 [1,5,3,4,6,2]=>2 [1,5,3,6,2,4]=>3 [1,5,3,6,4,2]=>3 [1,5,4,2,3,6]=>2 [1,5,4,2,6,3]=>3 [1,5,4,3,2,6]=>2 [1,5,4,3,6,2]=>2 [1,5,4,6,2,3]=>2 [1,5,4,6,3,2]=>2 [1,5,6,2,3,4]=>3 [1,5,6,2,4,3]=>2 [1,5,6,3,2,4]=>2 [1,5,6,3,4,2]=>2 [1,5,6,4,2,3]=>2 [1,5,6,4,3,2]=>2 [1,6,2,3,4,5]=>2 [1,6,2,3,5,4]=>3 [1,6,2,4,3,5]=>3 [1,6,2,4,5,3]=>3 [1,6,2,5,3,4]=>3 [1,6,2,5,4,3]=>3 [1,6,3,2,4,5]=>2 [1,6,3,2,5,4]=>3 [1,6,3,4,2,5]=>2 [1,6,3,4,5,2]=>2 [1,6,3,5,2,4]=>3 [1,6,3,5,4,2]=>3 [1,6,4,2,3,5]=>2 [1,6,4,2,5,3]=>3 [1,6,4,3,2,5]=>2 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>2 [1,6,4,5,3,2]=>2 [1,6,5,2,3,4]=>2 [1,6,5,2,4,3]=>3 [1,6,5,3,2,4]=>2 [1,6,5,3,4,2]=>2 [1,6,5,4,2,3]=>2 [1,6,5,4,3,2]=>2 [2,1,3,4,5,6]=>3 [2,1,3,4,6,5]=>3 [2,1,3,5,4,6]=>3 [2,1,3,5,6,4]=>3 [2,1,3,6,4,5]=>3 [2,1,3,6,5,4]=>2 [2,1,4,3,5,6]=>3 [2,1,4,3,6,5]=>3 [2,1,4,5,3,6]=>3 [2,1,4,5,6,3]=>2 [2,1,4,6,3,5]=>3 [2,1,4,6,5,3]=>3 [2,1,5,3,4,6]=>3 [2,1,5,3,6,4]=>3 [2,1,5,4,3,6]=>3 [2,1,5,4,6,3]=>3 [2,1,5,6,3,4]=>3 [2,1,5,6,4,3]=>3 [2,1,6,3,4,5]=>2 [2,1,6,3,5,4]=>3 [2,1,6,4,3,5]=>3 [2,1,6,4,5,3]=>3 [2,1,6,5,3,4]=>3 [2,1,6,5,4,3]=>3 [2,3,1,4,5,6]=>3 [2,3,1,4,6,5]=>3 [2,3,1,5,4,6]=>3 [2,3,1,5,6,4]=>3 [2,3,1,6,4,5]=>3 [2,3,1,6,5,4]=>2 [2,3,4,1,5,6]=>3 [2,3,4,1,6,5]=>2 [2,3,4,5,1,6]=>2 [2,3,4,5,6,1]=>2 [2,3,4,6,1,5]=>2 [2,3,4,6,5,1]=>2 [2,3,5,1,4,6]=>3 [2,3,5,1,6,4]=>3 [2,3,5,4,1,6]=>2 [2,3,5,4,6,1]=>2 [2,3,5,6,1,4]=>3 [2,3,5,6,4,1]=>3 [2,3,6,1,4,5]=>3 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>2 [2,3,6,4,5,1]=>2 [2,3,6,5,1,4]=>2 [2,3,6,5,4,1]=>2 [2,4,1,3,5,6]=>3 [2,4,1,3,6,5]=>3 [2,4,1,5,3,6]=>3 [2,4,1,5,6,3]=>3 [2,4,1,6,3,5]=>3 [2,4,1,6,5,3]=>3 [2,4,3,1,5,6]=>3 [2,4,3,1,6,5]=>3 [2,4,3,5,1,6]=>3 [2,4,3,5,6,1]=>2 [2,4,3,6,1,5]=>3 [2,4,3,6,5,1]=>2 [2,4,5,1,3,6]=>3 [2,4,5,1,6,3]=>3 [2,4,5,3,1,6]=>2 [2,4,5,3,6,1]=>3 [2,4,5,6,1,3]=>3 [2,4,5,6,3,1]=>3 [2,4,6,1,3,5]=>3 [2,4,6,1,5,3]=>3 [2,4,6,3,1,5]=>2 [2,4,6,3,5,1]=>3 [2,4,6,5,1,3]=>3 [2,4,6,5,3,1]=>3 [2,5,1,3,4,6]=>3 [2,5,1,3,6,4]=>3 [2,5,1,4,3,6]=>3 [2,5,1,4,6,3]=>3 [2,5,1,6,3,4]=>3 [2,5,1,6,4,3]=>3 [2,5,3,1,4,6]=>3 [2,5,3,1,6,4]=>3 [2,5,3,4,1,6]=>2 [2,5,3,4,6,1]=>2 [2,5,3,6,1,4]=>3 [2,5,3,6,4,1]=>3 [2,5,4,1,3,6]=>3 [2,5,4,1,6,3]=>3 [2,5,4,3,1,6]=>2 [2,5,4,3,6,1]=>2 [2,5,4,6,1,3]=>3 [2,5,4,6,3,1]=>3 [2,5,6,1,3,4]=>3 [2,5,6,1,4,3]=>2 [2,5,6,3,1,4]=>3 [2,5,6,3,4,1]=>3 [2,5,6,4,1,3]=>3 [2,5,6,4,3,1]=>3 [2,6,1,3,4,5]=>2 [2,6,1,3,5,4]=>3 [2,6,1,4,3,5]=>3 [2,6,1,4,5,3]=>3 [2,6,1,5,3,4]=>3 [2,6,1,5,4,3]=>3 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>3 [2,6,3,4,1,5]=>2 [2,6,3,4,5,1]=>2 [2,6,3,5,1,4]=>2 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>2 [2,6,4,1,5,3]=>3 [2,6,4,3,1,5]=>2 [2,6,4,3,5,1]=>2 [2,6,4,5,1,3]=>3 [2,6,4,5,3,1]=>3 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>3 [2,6,5,3,1,4]=>2 [2,6,5,3,4,1]=>2 [2,6,5,4,1,3]=>2 [2,6,5,4,3,1]=>2 [3,1,2,4,5,6]=>3 [3,1,2,4,6,5]=>3 [3,1,2,5,4,6]=>3 [3,1,2,5,6,4]=>3 [3,1,2,6,4,5]=>3 [3,1,2,6,5,4]=>2 [3,1,4,2,5,6]=>3 [3,1,4,2,6,5]=>3 [3,1,4,5,2,6]=>3 [3,1,4,5,6,2]=>2 [3,1,4,6,2,5]=>3 [3,1,4,6,5,2]=>3 [3,1,5,2,4,6]=>3 [3,1,5,2,6,4]=>3 [3,1,5,4,2,6]=>3 [3,1,5,4,6,2]=>3 [3,1,5,6,2,4]=>3 [3,1,5,6,4,2]=>3 [3,1,6,2,4,5]=>3 [3,1,6,2,5,4]=>3 [3,1,6,4,2,5]=>3 [3,1,6,4,5,2]=>3 [3,1,6,5,2,4]=>3 [3,1,6,5,4,2]=>3 [3,2,1,4,5,6]=>2 [3,2,1,4,6,5]=>2 [3,2,1,5,4,6]=>2 [3,2,1,5,6,4]=>2 [3,2,1,6,4,5]=>2 [3,2,1,6,5,4]=>3 [3,2,4,1,5,6]=>3 [3,2,4,1,6,5]=>3 [3,2,4,5,1,6]=>3 [3,2,4,5,6,1]=>2 [3,2,4,6,1,5]=>3 [3,2,4,6,5,1]=>2 [3,2,5,1,4,6]=>3 [3,2,5,1,6,4]=>3 [3,2,5,4,1,6]=>3 [3,2,5,4,6,1]=>2 [3,2,5,6,1,4]=>2 [3,2,5,6,4,1]=>2 [3,2,6,1,4,5]=>2 [3,2,6,1,5,4]=>3 [3,2,6,4,1,5]=>3 [3,2,6,4,5,1]=>2 [3,2,6,5,1,4]=>3 [3,2,6,5,4,1]=>3 [3,4,1,2,5,6]=>3 [3,4,1,2,6,5]=>3 [3,4,1,5,2,6]=>3 [3,4,1,5,6,2]=>3 [3,4,1,6,2,5]=>3 [3,4,1,6,5,2]=>2 [3,4,2,1,5,6]=>3 [3,4,2,1,6,5]=>3 [3,4,2,5,1,6]=>3 [3,4,2,5,6,1]=>3 [3,4,2,6,1,5]=>3 [3,4,2,6,5,1]=>2 [3,4,5,1,2,6]=>3 [3,4,5,1,6,2]=>3 [3,4,5,2,1,6]=>2 [3,4,5,2,6,1]=>3 [3,4,5,6,1,2]=>3 [3,4,5,6,2,1]=>3 [3,4,6,1,2,5]=>3 [3,4,6,1,5,2]=>3 [3,4,6,2,1,5]=>2 [3,4,6,2,5,1]=>3 [3,4,6,5,1,2]=>3 [3,4,6,5,2,1]=>3 [3,5,1,2,4,6]=>3 [3,5,1,2,6,4]=>3 [3,5,1,4,2,6]=>3 [3,5,1,4,6,2]=>3 [3,5,1,6,2,4]=>3 [3,5,1,6,4,2]=>3 [3,5,2,1,4,6]=>3 [3,5,2,1,6,4]=>3 [3,5,2,4,1,6]=>3 [3,5,2,4,6,1]=>3 [3,5,2,6,1,4]=>3 [3,5,2,6,4,1]=>2 [3,5,4,1,2,6]=>2 [3,5,4,1,6,2]=>3 [3,5,4,2,1,6]=>2 [3,5,4,2,6,1]=>3 [3,5,4,6,1,2]=>3 [3,5,4,6,2,1]=>3 [3,5,6,1,2,4]=>3 [3,5,6,1,4,2]=>3 [3,5,6,2,1,4]=>2 [3,5,6,2,4,1]=>3 [3,5,6,4,1,2]=>3 [3,5,6,4,2,1]=>3 [3,6,1,2,4,5]=>3 [3,6,1,2,5,4]=>2 [3,6,1,4,2,5]=>3 [3,6,1,4,5,2]=>3 [3,6,1,5,2,4]=>3 [3,6,1,5,4,2]=>3 [3,6,2,1,4,5]=>2 [3,6,2,1,5,4]=>3 [3,6,2,4,1,5]=>2 [3,6,2,4,5,1]=>3 [3,6,2,5,1,4]=>3 [3,6,2,5,4,1]=>3 [3,6,4,1,2,5]=>3 [3,6,4,1,5,2]=>3 [3,6,4,2,1,5]=>2 [3,6,4,2,5,1]=>3 [3,6,4,5,1,2]=>3 [3,6,4,5,2,1]=>3 [3,6,5,1,2,4]=>2 [3,6,5,1,4,2]=>3 [3,6,5,2,1,4]=>3 [3,6,5,2,4,1]=>3 [3,6,5,4,1,2]=>2 [3,6,5,4,2,1]=>3 [4,1,2,3,5,6]=>3 [4,1,2,3,6,5]=>2 [4,1,2,5,3,6]=>3 [4,1,2,5,6,3]=>3 [4,1,2,6,3,5]=>3 [4,1,2,6,5,3]=>2 [4,1,3,2,5,6]=>3 [4,1,3,2,6,5]=>3 [4,1,3,5,2,6]=>3 [4,1,3,5,6,2]=>2 [4,1,3,6,2,5]=>3 [4,1,3,6,5,2]=>3 [4,1,5,2,3,6]=>3 [4,1,5,2,6,3]=>3 [4,1,5,3,2,6]=>3 [4,1,5,3,6,2]=>2 [4,1,5,6,2,3]=>3 [4,1,5,6,3,2]=>2 [4,1,6,2,3,5]=>3 [4,1,6,2,5,3]=>3 [4,1,6,3,2,5]=>3 [4,1,6,3,5,2]=>3 [4,1,6,5,2,3]=>2 [4,1,6,5,3,2]=>3 [4,2,1,3,5,6]=>3 [4,2,1,3,6,5]=>3 [4,2,1,5,3,6]=>3 [4,2,1,5,6,3]=>2 [4,2,1,6,3,5]=>3 [4,2,1,6,5,3]=>3 [4,2,3,1,5,6]=>3 [4,2,3,1,6,5]=>3 [4,2,3,5,1,6]=>3 [4,2,3,5,6,1]=>2 [4,2,3,6,1,5]=>3 [4,2,3,6,5,1]=>2 [4,2,5,1,3,6]=>2 [4,2,5,1,6,3]=>3 [4,2,5,3,1,6]=>3 [4,2,5,3,6,1]=>3 [4,2,5,6,1,3]=>3 [4,2,5,6,3,1]=>3 [4,2,6,1,3,5]=>3 [4,2,6,1,5,3]=>3 [4,2,6,3,1,5]=>3 [4,2,6,3,5,1]=>3 [4,2,6,5,1,3]=>3 [4,2,6,5,3,1]=>3 [4,3,1,2,5,6]=>3 [4,3,1,2,6,5]=>3 [4,3,1,5,2,6]=>3 [4,3,1,5,6,2]=>2 [4,3,1,6,2,5]=>3 [4,3,1,6,5,2]=>3 [4,3,2,1,5,6]=>3 [4,3,2,1,6,5]=>3 [4,3,2,5,1,6]=>3 [4,3,2,5,6,1]=>2 [4,3,2,6,1,5]=>3 [4,3,2,6,5,1]=>3 [4,3,5,1,2,6]=>2 [4,3,5,1,6,2]=>3 [4,3,5,2,1,6]=>3 [4,3,5,2,6,1]=>3 [4,3,5,6,1,2]=>3 [4,3,5,6,2,1]=>3 [4,3,6,1,2,5]=>2 [4,3,6,1,5,2]=>3 [4,3,6,2,1,5]=>3 [4,3,6,2,5,1]=>3 [4,3,6,5,1,2]=>3 [4,3,6,5,2,1]=>3 [4,5,1,2,3,6]=>3 [4,5,1,2,6,3]=>3 [4,5,1,3,2,6]=>2 [4,5,1,3,6,2]=>3 [4,5,1,6,2,3]=>3 [4,5,1,6,3,2]=>2 [4,5,2,1,3,6]=>2 [4,5,2,1,6,3]=>2 [4,5,2,3,1,6]=>2 [4,5,2,3,6,1]=>3 [4,5,2,6,1,3]=>3 [4,5,2,6,3,1]=>3 [4,5,3,1,2,6]=>2 [4,5,3,1,6,2]=>3 [4,5,3,2,1,6]=>2 [4,5,3,2,6,1]=>3 [4,5,3,6,1,2]=>3 [4,5,3,6,2,1]=>3 [4,5,6,1,2,3]=>3 [4,5,6,1,3,2]=>2 [4,5,6,2,1,3]=>2 [4,5,6,2,3,1]=>2 [4,5,6,3,1,2]=>2 [4,5,6,3,2,1]=>2 [4,6,1,2,3,5]=>3 [4,6,1,2,5,3]=>3 [4,6,1,3,2,5]=>3 [4,6,1,3,5,2]=>3 [4,6,1,5,2,3]=>3 [4,6,1,5,3,2]=>3 [4,6,2,1,3,5]=>3 [4,6,2,1,5,3]=>3 [4,6,2,3,1,5]=>3 [4,6,2,3,5,1]=>3 [4,6,2,5,1,3]=>3 [4,6,2,5,3,1]=>3 [4,6,3,1,2,5]=>3 [4,6,3,1,5,2]=>3 [4,6,3,2,1,5]=>2 [4,6,3,2,5,1]=>3 [4,6,3,5,1,2]=>3 [4,6,3,5,2,1]=>3 [4,6,5,1,2,3]=>2 [4,6,5,1,3,2]=>3 [4,6,5,2,1,3]=>3 [4,6,5,2,3,1]=>3 [4,6,5,3,1,2]=>3 [4,6,5,3,2,1]=>3 [5,1,2,3,4,6]=>2 [5,1,2,3,6,4]=>2 [5,1,2,4,3,6]=>2 [5,1,2,4,6,3]=>2 [5,1,2,6,3,4]=>3 [5,1,2,6,4,3]=>2 [5,1,3,2,4,6]=>3 [5,1,3,2,6,4]=>3 [5,1,3,4,2,6]=>2 [5,1,3,4,6,2]=>2 [5,1,3,6,2,4]=>3 [5,1,3,6,4,2]=>2 [5,1,4,2,3,6]=>2 [5,1,4,2,6,3]=>2 [5,1,4,3,2,6]=>2 [5,1,4,3,6,2]=>2 [5,1,4,6,2,3]=>3 [5,1,4,6,3,2]=>2 [5,1,6,2,3,4]=>3 [5,1,6,2,4,3]=>3 [5,1,6,3,2,4]=>3 [5,1,6,3,4,2]=>3 [5,1,6,4,2,3]=>3 [5,1,6,4,3,2]=>2 [5,2,1,3,4,6]=>3 [5,2,1,3,6,4]=>3 [5,2,1,4,3,6]=>3 [5,2,1,4,6,3]=>3 [5,2,1,6,3,4]=>2 [5,2,1,6,4,3]=>3 [5,2,3,1,4,6]=>3 [5,2,3,1,6,4]=>3 [5,2,3,4,1,6]=>2 [5,2,3,4,6,1]=>2 [5,2,3,6,1,4]=>3 [5,2,3,6,4,1]=>3 [5,2,4,1,3,6]=>3 [5,2,4,1,6,3]=>3 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>2 [5,2,4,6,1,3]=>3 [5,2,4,6,3,1]=>3 [5,2,6,1,3,4]=>3 [5,2,6,1,4,3]=>3 [5,2,6,3,1,4]=>3 [5,2,6,3,4,1]=>3 [5,2,6,4,1,3]=>3 [5,2,6,4,3,1]=>3 [5,3,1,2,4,6]=>3 [5,3,1,2,6,4]=>3 [5,3,1,4,2,6]=>3 [5,3,1,4,6,2]=>2 [5,3,1,6,2,4]=>3 [5,3,1,6,4,2]=>3 [5,3,2,1,4,6]=>3 [5,3,2,1,6,4]=>3 [5,3,2,4,1,6]=>3 [5,3,2,4,6,1]=>2 [5,3,2,6,1,4]=>3 [5,3,2,6,4,1]=>3 [5,3,4,1,2,6]=>2 [5,3,4,1,6,2]=>3 [5,3,4,2,1,6]=>2 [5,3,4,2,6,1]=>3 [5,3,4,6,1,2]=>3 [5,3,4,6,2,1]=>3 [5,3,6,1,2,4]=>3 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>3 [5,3,6,2,4,1]=>3 [5,3,6,4,1,2]=>3 [5,3,6,4,2,1]=>3 [5,4,1,2,3,6]=>2 [5,4,1,2,6,3]=>2 [5,4,1,3,2,6]=>2 [5,4,1,3,6,2]=>2 [5,4,1,6,2,3]=>2 [5,4,1,6,3,2]=>3 [5,4,2,1,3,6]=>3 [5,4,2,1,6,3]=>3 [5,4,2,3,1,6]=>2 [5,4,2,3,6,1]=>2 [5,4,2,6,1,3]=>3 [5,4,2,6,3,1]=>3 [5,4,3,1,2,6]=>2 [5,4,3,1,6,2]=>2 [5,4,3,2,1,6]=>2 [5,4,3,2,6,1]=>2 [5,4,3,6,1,2]=>2 [5,4,3,6,2,1]=>3 [5,4,6,1,2,3]=>2 [5,4,6,1,3,2]=>3 [5,4,6,2,1,3]=>3 [5,4,6,2,3,1]=>3 [5,4,6,3,1,2]=>3 [5,4,6,3,2,1]=>3 [5,6,1,2,3,4]=>3 [5,6,1,2,4,3]=>3 [5,6,1,3,2,4]=>3 [5,6,1,3,4,2]=>3 [5,6,1,4,2,3]=>3 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>3 [5,6,2,1,4,3]=>3 [5,6,2,3,1,4]=>3 [5,6,2,3,4,1]=>3 [5,6,2,4,1,3]=>3 [5,6,2,4,3,1]=>3 [5,6,3,1,2,4]=>3 [5,6,3,1,4,2]=>3 [5,6,3,2,1,4]=>2 [5,6,3,2,4,1]=>3 [5,6,3,4,1,2]=>3 [5,6,3,4,2,1]=>3 [5,6,4,1,2,3]=>2 [5,6,4,1,3,2]=>3 [5,6,4,2,1,3]=>3 [5,6,4,2,3,1]=>3 [5,6,4,3,1,2]=>3 [5,6,4,3,2,1]=>3 [6,1,2,3,4,5]=>2 [6,1,2,3,5,4]=>2 [6,1,2,4,3,5]=>2 [6,1,2,4,5,3]=>2 [6,1,2,5,3,4]=>3 [6,1,2,5,4,3]=>2 [6,1,3,2,4,5]=>2 [6,1,3,2,5,4]=>2 [6,1,3,4,2,5]=>2 [6,1,3,4,5,2]=>2 [6,1,3,5,2,4]=>3 [6,1,3,5,4,2]=>2 [6,1,4,2,3,5]=>3 [6,1,4,2,5,3]=>3 [6,1,4,3,2,5]=>2 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>3 [6,1,4,5,3,2]=>2 [6,1,5,2,3,4]=>3 [6,1,5,2,4,3]=>3 [6,1,5,3,2,4]=>3 [6,1,5,3,4,2]=>3 [6,1,5,4,2,3]=>3 [6,1,5,4,3,2]=>2 [6,2,1,3,4,5]=>2 [6,2,1,3,5,4]=>2 [6,2,1,4,3,5]=>2 [6,2,1,4,5,3]=>2 [6,2,1,5,3,4]=>2 [6,2,1,5,4,3]=>3 [6,2,3,1,4,5]=>2 [6,2,3,1,5,4]=>2 [6,2,3,4,1,5]=>2 [6,2,3,4,5,1]=>2 [6,2,3,5,1,4]=>3 [6,2,3,5,4,1]=>2 [6,2,4,1,3,5]=>3 [6,2,4,1,5,3]=>3 [6,2,4,3,1,5]=>2 [6,2,4,3,5,1]=>2 [6,2,4,5,1,3]=>3 [6,2,4,5,3,1]=>2 [6,2,5,1,3,4]=>3 [6,2,5,1,4,3]=>3 [6,2,5,3,1,4]=>3 [6,2,5,3,4,1]=>2 [6,2,5,4,1,3]=>3 [6,2,5,4,3,1]=>3 [6,3,1,2,4,5]=>3 [6,3,1,2,5,4]=>2 [6,3,1,4,2,5]=>3 [6,3,1,4,5,2]=>3 [6,3,1,5,2,4]=>2 [6,3,1,5,4,2]=>3 [6,3,2,1,4,5]=>2 [6,3,2,1,5,4]=>3 [6,3,2,4,1,5]=>2 [6,3,2,4,5,1]=>2 [6,3,2,5,1,4]=>3 [6,3,2,5,4,1]=>3 [6,3,4,1,2,5]=>3 [6,3,4,1,5,2]=>3 [6,3,4,2,1,5]=>2 [6,3,4,2,5,1]=>2 [6,3,4,5,1,2]=>3 [6,3,4,5,2,1]=>2 [6,3,5,1,2,4]=>3 [6,3,5,1,4,2]=>3 [6,3,5,2,1,4]=>3 [6,3,5,2,4,1]=>3 [6,3,5,4,1,2]=>3 [6,3,5,4,2,1]=>3 [6,4,1,2,3,5]=>3 [6,4,1,2,5,3]=>3 [6,4,1,3,2,5]=>3 [6,4,1,3,5,2]=>3 [6,4,1,5,2,3]=>3 [6,4,1,5,3,2]=>3 [6,4,2,1,3,5]=>3 [6,4,2,1,5,3]=>3 [6,4,2,3,1,5]=>3 [6,4,2,3,5,1]=>2 [6,4,2,5,1,3]=>3 [6,4,2,5,3,1]=>3 [6,4,3,1,2,5]=>3 [6,4,3,1,5,2]=>3 [6,4,3,2,1,5]=>2 [6,4,3,2,5,1]=>3 [6,4,3,5,1,2]=>3 [6,4,3,5,2,1]=>3 [6,4,5,1,2,3]=>2 [6,4,5,1,3,2]=>3 [6,4,5,2,1,3]=>3 [6,4,5,2,3,1]=>3 [6,4,5,3,1,2]=>3 [6,4,5,3,2,1]=>3 [6,5,1,2,3,4]=>3 [6,5,1,2,4,3]=>3 [6,5,1,3,2,4]=>3 [6,5,1,3,4,2]=>3 [6,5,1,4,2,3]=>3 [6,5,1,4,3,2]=>3 [6,5,2,1,3,4]=>3 [6,5,2,1,4,3]=>3 [6,5,2,3,1,4]=>3 [6,5,2,3,4,1]=>2 [6,5,2,4,1,3]=>3 [6,5,2,4,3,1]=>3 [6,5,3,1,2,4]=>3 [6,5,3,1,4,2]=>3 [6,5,3,2,1,4]=>3 [6,5,3,2,4,1]=>3 [6,5,3,4,1,2]=>3 [6,5,3,4,2,1]=>3 [6,5,4,1,2,3]=>2 [6,5,4,1,3,2]=>3 [6,5,4,2,1,3]=>3 [6,5,4,2,3,1]=>3 [6,5,4,3,1,2]=>3 [6,5,4,3,2,1]=>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 length of a longest pair of twins in a permutation.
A pair of twins in a permutation is a pair of two disjoint subsequences which are order isomorphic.
References
[1] Dudek, A., Grytczuk, Jarosław, Ruciński, A. Variations on twins in permutations arXiv:2001.05589
Code
from sage.combinat.permutation import to_standard
def statistic(pi):
    n = len(pi)
    S = set(range(n))
    for k in range(n//2, 0, -1):
        for s1 in Subsets(S, k):
            for s2 in Subsets(S.difference(s1), k):
                pi1 = [pi[i] for i in s1]
                pi2 = [pi[i] for i in s2]
                if to_standard(pi1) == to_standard(pi2):
                    return k
    return 0
Created
Jan 17, 2020 at 09:24 by Martin Rubey
Updated
Jan 17, 2020 at 09:24 by Martin Rubey