edit this statistic or download as text // json
Identifier
Values
=>
[1]=>1 [1,2]=>1 [2,1]=>2 [1,2,3]=>1 [1,3,2]=>1 [2,1,3]=>2 [2,3,1]=>3 [3,1,2]=>3 [3,2,1]=>3 [1,2,3,4]=>1 [1,2,4,3]=>1 [1,3,2,4]=>1 [1,3,4,2]=>1 [1,4,2,3]=>1 [1,4,3,2]=>1 [2,1,3,4]=>2 [2,1,4,3]=>2 [2,3,1,4]=>3 [2,3,4,1]=>4 [2,4,1,3]=>4 [2,4,3,1]=>4 [3,1,2,4]=>3 [3,1,4,2]=>4 [3,2,1,4]=>3 [3,2,4,1]=>4 [3,4,1,2]=>4 [3,4,2,1]=>4 [4,1,2,3]=>4 [4,1,3,2]=>4 [4,2,1,3]=>4 [4,2,3,1]=>4 [4,3,1,2]=>4 [4,3,2,1]=>4 [1,2,3,4,5]=>1 [1,2,3,5,4]=>1 [1,2,4,3,5]=>1 [1,2,4,5,3]=>1 [1,2,5,3,4]=>1 [1,2,5,4,3]=>1 [1,3,2,4,5]=>1 [1,3,2,5,4]=>1 [1,3,4,2,5]=>1 [1,3,4,5,2]=>1 [1,3,5,2,4]=>1 [1,3,5,4,2]=>1 [1,4,2,3,5]=>1 [1,4,2,5,3]=>1 [1,4,3,2,5]=>1 [1,4,3,5,2]=>1 [1,4,5,2,3]=>1 [1,4,5,3,2]=>1 [1,5,2,3,4]=>1 [1,5,2,4,3]=>1 [1,5,3,2,4]=>1 [1,5,3,4,2]=>1 [1,5,4,2,3]=>1 [1,5,4,3,2]=>1 [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]=>3 [2,3,1,5,4]=>3 [2,3,4,1,5]=>4 [2,3,4,5,1]=>5 [2,3,5,1,4]=>5 [2,3,5,4,1]=>5 [2,4,1,3,5]=>4 [2,4,1,5,3]=>5 [2,4,3,1,5]=>4 [2,4,3,5,1]=>5 [2,4,5,1,3]=>5 [2,4,5,3,1]=>5 [2,5,1,3,4]=>5 [2,5,1,4,3]=>5 [2,5,3,1,4]=>5 [2,5,3,4,1]=>5 [2,5,4,1,3]=>5 [2,5,4,3,1]=>5 [3,1,2,4,5]=>3 [3,1,2,5,4]=>3 [3,1,4,2,5]=>4 [3,1,4,5,2]=>5 [3,1,5,2,4]=>5 [3,1,5,4,2]=>5 [3,2,1,4,5]=>3 [3,2,1,5,4]=>3 [3,2,4,1,5]=>4 [3,2,4,5,1]=>5 [3,2,5,1,4]=>5 [3,2,5,4,1]=>5 [3,4,1,2,5]=>4 [3,4,1,5,2]=>5 [3,4,2,1,5]=>4 [3,4,2,5,1]=>5 [3,4,5,1,2]=>5 [3,4,5,2,1]=>5 [3,5,1,2,4]=>5 [3,5,1,4,2]=>5 [3,5,2,1,4]=>5 [3,5,2,4,1]=>5 [3,5,4,1,2]=>5 [3,5,4,2,1]=>5 [4,1,2,3,5]=>4 [4,1,2,5,3]=>5 [4,1,3,2,5]=>4 [4,1,3,5,2]=>5 [4,1,5,2,3]=>5 [4,1,5,3,2]=>5 [4,2,1,3,5]=>4 [4,2,1,5,3]=>5 [4,2,3,1,5]=>4 [4,2,3,5,1]=>5 [4,2,5,1,3]=>5 [4,2,5,3,1]=>5 [4,3,1,2,5]=>4 [4,3,1,5,2]=>5 [4,3,2,1,5]=>4 [4,3,2,5,1]=>5 [4,3,5,1,2]=>5 [4,3,5,2,1]=>5 [4,5,1,2,3]=>5 [4,5,1,3,2]=>5 [4,5,2,1,3]=>5 [4,5,2,3,1]=>5 [4,5,3,1,2]=>5 [4,5,3,2,1]=>5 [5,1,2,3,4]=>5 [5,1,2,4,3]=>5 [5,1,3,2,4]=>5 [5,1,3,4,2]=>5 [5,1,4,2,3]=>5 [5,1,4,3,2]=>5 [5,2,1,3,4]=>5 [5,2,1,4,3]=>5 [5,2,3,1,4]=>5 [5,2,3,4,1]=>5 [5,2,4,1,3]=>5 [5,2,4,3,1]=>5 [5,3,1,2,4]=>5 [5,3,1,4,2]=>5 [5,3,2,1,4]=>5 [5,3,2,4,1]=>5 [5,3,4,1,2]=>5 [5,3,4,2,1]=>5 [5,4,1,2,3]=>5 [5,4,1,3,2]=>5 [5,4,2,1,3]=>5 [5,4,2,3,1]=>5 [5,4,3,1,2]=>5 [5,4,3,2,1]=>5 [1,2,3,4,5,6]=>1 [1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>1 [1,2,3,6,4,5]=>1 [1,2,3,6,5,4]=>1 [1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>1 [1,2,4,5,3,6]=>1 [1,2,4,5,6,3]=>1 [1,2,4,6,3,5]=>1 [1,2,4,6,5,3]=>1 [1,2,5,3,4,6]=>1 [1,2,5,3,6,4]=>1 [1,2,5,4,3,6]=>1 [1,2,5,4,6,3]=>1 [1,2,5,6,3,4]=>1 [1,2,5,6,4,3]=>1 [1,2,6,3,4,5]=>1 [1,2,6,3,5,4]=>1 [1,2,6,4,3,5]=>1 [1,2,6,4,5,3]=>1 [1,2,6,5,3,4]=>1 [1,2,6,5,4,3]=>1 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>1 [1,3,2,5,4,6]=>1 [1,3,2,5,6,4]=>1 [1,3,2,6,4,5]=>1 [1,3,2,6,5,4]=>1 [1,3,4,2,5,6]=>1 [1,3,4,2,6,5]=>1 [1,3,4,5,2,6]=>1 [1,3,4,5,6,2]=>1 [1,3,4,6,2,5]=>1 [1,3,4,6,5,2]=>1 [1,3,5,2,4,6]=>1 [1,3,5,2,6,4]=>1 [1,3,5,4,2,6]=>1 [1,3,5,4,6,2]=>1 [1,3,5,6,2,4]=>1 [1,3,5,6,4,2]=>1 [1,3,6,2,4,5]=>1 [1,3,6,2,5,4]=>1 [1,3,6,4,2,5]=>1 [1,3,6,4,5,2]=>1 [1,3,6,5,2,4]=>1 [1,3,6,5,4,2]=>1 [1,4,2,3,5,6]=>1 [1,4,2,3,6,5]=>1 [1,4,2,5,3,6]=>1 [1,4,2,5,6,3]=>1 [1,4,2,6,3,5]=>1 [1,4,2,6,5,3]=>1 [1,4,3,2,5,6]=>1 [1,4,3,2,6,5]=>1 [1,4,3,5,2,6]=>1 [1,4,3,5,6,2]=>1 [1,4,3,6,2,5]=>1 [1,4,3,6,5,2]=>1 [1,4,5,2,3,6]=>1 [1,4,5,2,6,3]=>1 [1,4,5,3,2,6]=>1 [1,4,5,3,6,2]=>1 [1,4,5,6,2,3]=>1 [1,4,5,6,3,2]=>1 [1,4,6,2,3,5]=>1 [1,4,6,2,5,3]=>1 [1,4,6,3,2,5]=>1 [1,4,6,3,5,2]=>1 [1,4,6,5,2,3]=>1 [1,4,6,5,3,2]=>1 [1,5,2,3,4,6]=>1 [1,5,2,3,6,4]=>1 [1,5,2,4,3,6]=>1 [1,5,2,4,6,3]=>1 [1,5,2,6,3,4]=>1 [1,5,2,6,4,3]=>1 [1,5,3,2,4,6]=>1 [1,5,3,2,6,4]=>1 [1,5,3,4,2,6]=>1 [1,5,3,4,6,2]=>1 [1,5,3,6,2,4]=>1 [1,5,3,6,4,2]=>1 [1,5,4,2,3,6]=>1 [1,5,4,2,6,3]=>1 [1,5,4,3,2,6]=>1 [1,5,4,3,6,2]=>1 [1,5,4,6,2,3]=>1 [1,5,4,6,3,2]=>1 [1,5,6,2,3,4]=>1 [1,5,6,2,4,3]=>1 [1,5,6,3,2,4]=>1 [1,5,6,3,4,2]=>1 [1,5,6,4,2,3]=>1 [1,5,6,4,3,2]=>1 [1,6,2,3,4,5]=>1 [1,6,2,3,5,4]=>1 [1,6,2,4,3,5]=>1 [1,6,2,4,5,3]=>1 [1,6,2,5,3,4]=>1 [1,6,2,5,4,3]=>1 [1,6,3,2,4,5]=>1 [1,6,3,2,5,4]=>1 [1,6,3,4,2,5]=>1 [1,6,3,4,5,2]=>1 [1,6,3,5,2,4]=>1 [1,6,3,5,4,2]=>1 [1,6,4,2,3,5]=>1 [1,6,4,2,5,3]=>1 [1,6,4,3,2,5]=>1 [1,6,4,3,5,2]=>1 [1,6,4,5,2,3]=>1 [1,6,4,5,3,2]=>1 [1,6,5,2,3,4]=>1 [1,6,5,2,4,3]=>1 [1,6,5,3,2,4]=>1 [1,6,5,3,4,2]=>1 [1,6,5,4,2,3]=>1 [1,6,5,4,3,2]=>1 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>2 [2,1,3,6,4,5]=>2 [2,1,3,6,5,4]=>2 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>2 [2,1,4,5,3,6]=>2 [2,1,4,5,6,3]=>2 [2,1,4,6,3,5]=>2 [2,1,4,6,5,3]=>2 [2,1,5,3,4,6]=>2 [2,1,5,3,6,4]=>2 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>2 [2,1,5,6,3,4]=>2 [2,1,5,6,4,3]=>2 [2,1,6,3,4,5]=>2 [2,1,6,3,5,4]=>2 [2,1,6,4,3,5]=>2 [2,1,6,4,5,3]=>2 [2,1,6,5,3,4]=>2 [2,1,6,5,4,3]=>2 [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]=>3 [2,3,4,1,5,6]=>4 [2,3,4,1,6,5]=>4 [2,3,4,5,1,6]=>5 [2,3,4,5,6,1]=>6 [2,3,4,6,1,5]=>6 [2,3,4,6,5,1]=>6 [2,3,5,1,4,6]=>5 [2,3,5,1,6,4]=>6 [2,3,5,4,1,6]=>5 [2,3,5,4,6,1]=>6 [2,3,5,6,1,4]=>6 [2,3,5,6,4,1]=>6 [2,3,6,1,4,5]=>6 [2,3,6,1,5,4]=>6 [2,3,6,4,1,5]=>6 [2,3,6,4,5,1]=>6 [2,3,6,5,1,4]=>6 [2,3,6,5,4,1]=>6 [2,4,1,3,5,6]=>4 [2,4,1,3,6,5]=>4 [2,4,1,5,3,6]=>5 [2,4,1,5,6,3]=>6 [2,4,1,6,3,5]=>6 [2,4,1,6,5,3]=>6 [2,4,3,1,5,6]=>4 [2,4,3,1,6,5]=>4 [2,4,3,5,1,6]=>5 [2,4,3,5,6,1]=>6 [2,4,3,6,1,5]=>6 [2,4,3,6,5,1]=>6 [2,4,5,1,3,6]=>5 [2,4,5,1,6,3]=>6 [2,4,5,3,1,6]=>5 [2,4,5,3,6,1]=>6 [2,4,5,6,1,3]=>6 [2,4,5,6,3,1]=>6 [2,4,6,1,3,5]=>6 [2,4,6,1,5,3]=>6 [2,4,6,3,1,5]=>6 [2,4,6,3,5,1]=>6 [2,4,6,5,1,3]=>6 [2,4,6,5,3,1]=>6 [2,5,1,3,4,6]=>5 [2,5,1,3,6,4]=>6 [2,5,1,4,3,6]=>5 [2,5,1,4,6,3]=>6 [2,5,1,6,3,4]=>6 [2,5,1,6,4,3]=>6 [2,5,3,1,4,6]=>5 [2,5,3,1,6,4]=>6 [2,5,3,4,1,6]=>5 [2,5,3,4,6,1]=>6 [2,5,3,6,1,4]=>6 [2,5,3,6,4,1]=>6 [2,5,4,1,3,6]=>5 [2,5,4,1,6,3]=>6 [2,5,4,3,1,6]=>5 [2,5,4,3,6,1]=>6 [2,5,4,6,1,3]=>6 [2,5,4,6,3,1]=>6 [2,5,6,1,3,4]=>6 [2,5,6,1,4,3]=>6 [2,5,6,3,1,4]=>6 [2,5,6,3,4,1]=>6 [2,5,6,4,1,3]=>6 [2,5,6,4,3,1]=>6 [2,6,1,3,4,5]=>6 [2,6,1,3,5,4]=>6 [2,6,1,4,3,5]=>6 [2,6,1,4,5,3]=>6 [2,6,1,5,3,4]=>6 [2,6,1,5,4,3]=>6 [2,6,3,1,4,5]=>6 [2,6,3,1,5,4]=>6 [2,6,3,4,1,5]=>6 [2,6,3,4,5,1]=>6 [2,6,3,5,1,4]=>6 [2,6,3,5,4,1]=>6 [2,6,4,1,3,5]=>6 [2,6,4,1,5,3]=>6 [2,6,4,3,1,5]=>6 [2,6,4,3,5,1]=>6 [2,6,4,5,1,3]=>6 [2,6,4,5,3,1]=>6 [2,6,5,1,3,4]=>6 [2,6,5,1,4,3]=>6 [2,6,5,3,1,4]=>6 [2,6,5,3,4,1]=>6 [2,6,5,4,1,3]=>6 [2,6,5,4,3,1]=>6 [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]=>3 [3,1,4,2,5,6]=>4 [3,1,4,2,6,5]=>4 [3,1,4,5,2,6]=>5 [3,1,4,5,6,2]=>6 [3,1,4,6,2,5]=>6 [3,1,4,6,5,2]=>6 [3,1,5,2,4,6]=>5 [3,1,5,2,6,4]=>6 [3,1,5,4,2,6]=>5 [3,1,5,4,6,2]=>6 [3,1,5,6,2,4]=>6 [3,1,5,6,4,2]=>6 [3,1,6,2,4,5]=>6 [3,1,6,2,5,4]=>6 [3,1,6,4,2,5]=>6 [3,1,6,4,5,2]=>6 [3,1,6,5,2,4]=>6 [3,1,6,5,4,2]=>6 [3,2,1,4,5,6]=>3 [3,2,1,4,6,5]=>3 [3,2,1,5,4,6]=>3 [3,2,1,5,6,4]=>3 [3,2,1,6,4,5]=>3 [3,2,1,6,5,4]=>3 [3,2,4,1,5,6]=>4 [3,2,4,1,6,5]=>4 [3,2,4,5,1,6]=>5 [3,2,4,5,6,1]=>6 [3,2,4,6,1,5]=>6 [3,2,4,6,5,1]=>6 [3,2,5,1,4,6]=>5 [3,2,5,1,6,4]=>6 [3,2,5,4,1,6]=>5 [3,2,5,4,6,1]=>6 [3,2,5,6,1,4]=>6 [3,2,5,6,4,1]=>6 [3,2,6,1,4,5]=>6 [3,2,6,1,5,4]=>6 [3,2,6,4,1,5]=>6 [3,2,6,4,5,1]=>6 [3,2,6,5,1,4]=>6 [3,2,6,5,4,1]=>6 [3,4,1,2,5,6]=>4 [3,4,1,2,6,5]=>4 [3,4,1,5,2,6]=>5 [3,4,1,5,6,2]=>6 [3,4,1,6,2,5]=>6 [3,4,1,6,5,2]=>6 [3,4,2,1,5,6]=>4 [3,4,2,1,6,5]=>4 [3,4,2,5,1,6]=>5 [3,4,2,5,6,1]=>6 [3,4,2,6,1,5]=>6 [3,4,2,6,5,1]=>6 [3,4,5,1,2,6]=>5 [3,4,5,1,6,2]=>6 [3,4,5,2,1,6]=>5 [3,4,5,2,6,1]=>6 [3,4,5,6,1,2]=>6 [3,4,5,6,2,1]=>6 [3,4,6,1,2,5]=>6 [3,4,6,1,5,2]=>6 [3,4,6,2,1,5]=>6 [3,4,6,2,5,1]=>6 [3,4,6,5,1,2]=>6 [3,4,6,5,2,1]=>6 [3,5,1,2,4,6]=>5 [3,5,1,2,6,4]=>6 [3,5,1,4,2,6]=>5 [3,5,1,4,6,2]=>6 [3,5,1,6,2,4]=>6 [3,5,1,6,4,2]=>6 [3,5,2,1,4,6]=>5 [3,5,2,1,6,4]=>6 [3,5,2,4,1,6]=>5 [3,5,2,4,6,1]=>6 [3,5,2,6,1,4]=>6 [3,5,2,6,4,1]=>6 [3,5,4,1,2,6]=>5 [3,5,4,1,6,2]=>6 [3,5,4,2,1,6]=>5 [3,5,4,2,6,1]=>6 [3,5,4,6,1,2]=>6 [3,5,4,6,2,1]=>6 [3,5,6,1,2,4]=>6 [3,5,6,1,4,2]=>6 [3,5,6,2,1,4]=>6 [3,5,6,2,4,1]=>6 [3,5,6,4,1,2]=>6 [3,5,6,4,2,1]=>6 [3,6,1,2,4,5]=>6 [3,6,1,2,5,4]=>6 [3,6,1,4,2,5]=>6 [3,6,1,4,5,2]=>6 [3,6,1,5,2,4]=>6 [3,6,1,5,4,2]=>6 [3,6,2,1,4,5]=>6 [3,6,2,1,5,4]=>6 [3,6,2,4,1,5]=>6 [3,6,2,4,5,1]=>6 [3,6,2,5,1,4]=>6 [3,6,2,5,4,1]=>6 [3,6,4,1,2,5]=>6 [3,6,4,1,5,2]=>6 [3,6,4,2,1,5]=>6 [3,6,4,2,5,1]=>6 [3,6,4,5,1,2]=>6 [3,6,4,5,2,1]=>6 [3,6,5,1,2,4]=>6 [3,6,5,1,4,2]=>6 [3,6,5,2,1,4]=>6 [3,6,5,2,4,1]=>6 [3,6,5,4,1,2]=>6 [3,6,5,4,2,1]=>6 [4,1,2,3,5,6]=>4 [4,1,2,3,6,5]=>4 [4,1,2,5,3,6]=>5 [4,1,2,5,6,3]=>6 [4,1,2,6,3,5]=>6 [4,1,2,6,5,3]=>6 [4,1,3,2,5,6]=>4 [4,1,3,2,6,5]=>4 [4,1,3,5,2,6]=>5 [4,1,3,5,6,2]=>6 [4,1,3,6,2,5]=>6 [4,1,3,6,5,2]=>6 [4,1,5,2,3,6]=>5 [4,1,5,2,6,3]=>6 [4,1,5,3,2,6]=>5 [4,1,5,3,6,2]=>6 [4,1,5,6,2,3]=>6 [4,1,5,6,3,2]=>6 [4,1,6,2,3,5]=>6 [4,1,6,2,5,3]=>6 [4,1,6,3,2,5]=>6 [4,1,6,3,5,2]=>6 [4,1,6,5,2,3]=>6 [4,1,6,5,3,2]=>6 [4,2,1,3,5,6]=>4 [4,2,1,3,6,5]=>4 [4,2,1,5,3,6]=>5 [4,2,1,5,6,3]=>6 [4,2,1,6,3,5]=>6 [4,2,1,6,5,3]=>6 [4,2,3,1,5,6]=>4 [4,2,3,1,6,5]=>4 [4,2,3,5,1,6]=>5 [4,2,3,5,6,1]=>6 [4,2,3,6,1,5]=>6 [4,2,3,6,5,1]=>6 [4,2,5,1,3,6]=>5 [4,2,5,1,6,3]=>6 [4,2,5,3,1,6]=>5 [4,2,5,3,6,1]=>6 [4,2,5,6,1,3]=>6 [4,2,5,6,3,1]=>6 [4,2,6,1,3,5]=>6 [4,2,6,1,5,3]=>6 [4,2,6,3,1,5]=>6 [4,2,6,3,5,1]=>6 [4,2,6,5,1,3]=>6 [4,2,6,5,3,1]=>6 [4,3,1,2,5,6]=>4 [4,3,1,2,6,5]=>4 [4,3,1,5,2,6]=>5 [4,3,1,5,6,2]=>6 [4,3,1,6,2,5]=>6 [4,3,1,6,5,2]=>6 [4,3,2,1,5,6]=>4 [4,3,2,1,6,5]=>4 [4,3,2,5,1,6]=>5 [4,3,2,5,6,1]=>6 [4,3,2,6,1,5]=>6 [4,3,2,6,5,1]=>6 [4,3,5,1,2,6]=>5 [4,3,5,1,6,2]=>6 [4,3,5,2,1,6]=>5 [4,3,5,2,6,1]=>6 [4,3,5,6,1,2]=>6 [4,3,5,6,2,1]=>6 [4,3,6,1,2,5]=>6 [4,3,6,1,5,2]=>6 [4,3,6,2,1,5]=>6 [4,3,6,2,5,1]=>6 [4,3,6,5,1,2]=>6 [4,3,6,5,2,1]=>6 [4,5,1,2,3,6]=>5 [4,5,1,2,6,3]=>6 [4,5,1,3,2,6]=>5 [4,5,1,3,6,2]=>6 [4,5,1,6,2,3]=>6 [4,5,1,6,3,2]=>6 [4,5,2,1,3,6]=>5 [4,5,2,1,6,3]=>6 [4,5,2,3,1,6]=>5 [4,5,2,3,6,1]=>6 [4,5,2,6,1,3]=>6 [4,5,2,6,3,1]=>6 [4,5,3,1,2,6]=>5 [4,5,3,1,6,2]=>6 [4,5,3,2,1,6]=>5 [4,5,3,2,6,1]=>6 [4,5,3,6,1,2]=>6 [4,5,3,6,2,1]=>6 [4,5,6,1,2,3]=>6 [4,5,6,1,3,2]=>6 [4,5,6,2,1,3]=>6 [4,5,6,2,3,1]=>6 [4,5,6,3,1,2]=>6 [4,5,6,3,2,1]=>6 [4,6,1,2,3,5]=>6 [4,6,1,2,5,3]=>6 [4,6,1,3,2,5]=>6 [4,6,1,3,5,2]=>6 [4,6,1,5,2,3]=>6 [4,6,1,5,3,2]=>6 [4,6,2,1,3,5]=>6 [4,6,2,1,5,3]=>6 [4,6,2,3,1,5]=>6 [4,6,2,3,5,1]=>6 [4,6,2,5,1,3]=>6 [4,6,2,5,3,1]=>6 [4,6,3,1,2,5]=>6 [4,6,3,1,5,2]=>6 [4,6,3,2,1,5]=>6 [4,6,3,2,5,1]=>6 [4,6,3,5,1,2]=>6 [4,6,3,5,2,1]=>6 [4,6,5,1,2,3]=>6 [4,6,5,1,3,2]=>6 [4,6,5,2,1,3]=>6 [4,6,5,2,3,1]=>6 [4,6,5,3,1,2]=>6 [4,6,5,3,2,1]=>6 [5,1,2,3,4,6]=>5 [5,1,2,3,6,4]=>6 [5,1,2,4,3,6]=>5 [5,1,2,4,6,3]=>6 [5,1,2,6,3,4]=>6 [5,1,2,6,4,3]=>6 [5,1,3,2,4,6]=>5 [5,1,3,2,6,4]=>6 [5,1,3,4,2,6]=>5 [5,1,3,4,6,2]=>6 [5,1,3,6,2,4]=>6 [5,1,3,6,4,2]=>6 [5,1,4,2,3,6]=>5 [5,1,4,2,6,3]=>6 [5,1,4,3,2,6]=>5 [5,1,4,3,6,2]=>6 [5,1,4,6,2,3]=>6 [5,1,4,6,3,2]=>6 [5,1,6,2,3,4]=>6 [5,1,6,2,4,3]=>6 [5,1,6,3,2,4]=>6 [5,1,6,3,4,2]=>6 [5,1,6,4,2,3]=>6 [5,1,6,4,3,2]=>6 [5,2,1,3,4,6]=>5 [5,2,1,3,6,4]=>6 [5,2,1,4,3,6]=>5 [5,2,1,4,6,3]=>6 [5,2,1,6,3,4]=>6 [5,2,1,6,4,3]=>6 [5,2,3,1,4,6]=>5 [5,2,3,1,6,4]=>6 [5,2,3,4,1,6]=>5 [5,2,3,4,6,1]=>6 [5,2,3,6,1,4]=>6 [5,2,3,6,4,1]=>6 [5,2,4,1,3,6]=>5 [5,2,4,1,6,3]=>6 [5,2,4,3,1,6]=>5 [5,2,4,3,6,1]=>6 [5,2,4,6,1,3]=>6 [5,2,4,6,3,1]=>6 [5,2,6,1,3,4]=>6 [5,2,6,1,4,3]=>6 [5,2,6,3,1,4]=>6 [5,2,6,3,4,1]=>6 [5,2,6,4,1,3]=>6 [5,2,6,4,3,1]=>6 [5,3,1,2,4,6]=>5 [5,3,1,2,6,4]=>6 [5,3,1,4,2,6]=>5 [5,3,1,4,6,2]=>6 [5,3,1,6,2,4]=>6 [5,3,1,6,4,2]=>6 [5,3,2,1,4,6]=>5 [5,3,2,1,6,4]=>6 [5,3,2,4,1,6]=>5 [5,3,2,4,6,1]=>6 [5,3,2,6,1,4]=>6 [5,3,2,6,4,1]=>6 [5,3,4,1,2,6]=>5 [5,3,4,1,6,2]=>6 [5,3,4,2,1,6]=>5 [5,3,4,2,6,1]=>6 [5,3,4,6,1,2]=>6 [5,3,4,6,2,1]=>6 [5,3,6,1,2,4]=>6 [5,3,6,1,4,2]=>6 [5,3,6,2,1,4]=>6 [5,3,6,2,4,1]=>6 [5,3,6,4,1,2]=>6 [5,3,6,4,2,1]=>6 [5,4,1,2,3,6]=>5 [5,4,1,2,6,3]=>6 [5,4,1,3,2,6]=>5 [5,4,1,3,6,2]=>6 [5,4,1,6,2,3]=>6 [5,4,1,6,3,2]=>6 [5,4,2,1,3,6]=>5 [5,4,2,1,6,3]=>6 [5,4,2,3,1,6]=>5 [5,4,2,3,6,1]=>6 [5,4,2,6,1,3]=>6 [5,4,2,6,3,1]=>6 [5,4,3,1,2,6]=>5 [5,4,3,1,6,2]=>6 [5,4,3,2,1,6]=>5 [5,4,3,2,6,1]=>6 [5,4,3,6,1,2]=>6 [5,4,3,6,2,1]=>6 [5,4,6,1,2,3]=>6 [5,4,6,1,3,2]=>6 [5,4,6,2,1,3]=>6 [5,4,6,2,3,1]=>6 [5,4,6,3,1,2]=>6 [5,4,6,3,2,1]=>6 [5,6,1,2,3,4]=>6 [5,6,1,2,4,3]=>6 [5,6,1,3,2,4]=>6 [5,6,1,3,4,2]=>6 [5,6,1,4,2,3]=>6 [5,6,1,4,3,2]=>6 [5,6,2,1,3,4]=>6 [5,6,2,1,4,3]=>6 [5,6,2,3,1,4]=>6 [5,6,2,3,4,1]=>6 [5,6,2,4,1,3]=>6 [5,6,2,4,3,1]=>6 [5,6,3,1,2,4]=>6 [5,6,3,1,4,2]=>6 [5,6,3,2,1,4]=>6 [5,6,3,2,4,1]=>6 [5,6,3,4,1,2]=>6 [5,6,3,4,2,1]=>6 [5,6,4,1,2,3]=>6 [5,6,4,1,3,2]=>6 [5,6,4,2,1,3]=>6 [5,6,4,2,3,1]=>6 [5,6,4,3,1,2]=>6 [5,6,4,3,2,1]=>6 [6,1,2,3,4,5]=>6 [6,1,2,3,5,4]=>6 [6,1,2,4,3,5]=>6 [6,1,2,4,5,3]=>6 [6,1,2,5,3,4]=>6 [6,1,2,5,4,3]=>6 [6,1,3,2,4,5]=>6 [6,1,3,2,5,4]=>6 [6,1,3,4,2,5]=>6 [6,1,3,4,5,2]=>6 [6,1,3,5,2,4]=>6 [6,1,3,5,4,2]=>6 [6,1,4,2,3,5]=>6 [6,1,4,2,5,3]=>6 [6,1,4,3,2,5]=>6 [6,1,4,3,5,2]=>6 [6,1,4,5,2,3]=>6 [6,1,4,5,3,2]=>6 [6,1,5,2,3,4]=>6 [6,1,5,2,4,3]=>6 [6,1,5,3,2,4]=>6 [6,1,5,3,4,2]=>6 [6,1,5,4,2,3]=>6 [6,1,5,4,3,2]=>6 [6,2,1,3,4,5]=>6 [6,2,1,3,5,4]=>6 [6,2,1,4,3,5]=>6 [6,2,1,4,5,3]=>6 [6,2,1,5,3,4]=>6 [6,2,1,5,4,3]=>6 [6,2,3,1,4,5]=>6 [6,2,3,1,5,4]=>6 [6,2,3,4,1,5]=>6 [6,2,3,4,5,1]=>6 [6,2,3,5,1,4]=>6 [6,2,3,5,4,1]=>6 [6,2,4,1,3,5]=>6 [6,2,4,1,5,3]=>6 [6,2,4,3,1,5]=>6 [6,2,4,3,5,1]=>6 [6,2,4,5,1,3]=>6 [6,2,4,5,3,1]=>6 [6,2,5,1,3,4]=>6 [6,2,5,1,4,3]=>6 [6,2,5,3,1,4]=>6 [6,2,5,3,4,1]=>6 [6,2,5,4,1,3]=>6 [6,2,5,4,3,1]=>6 [6,3,1,2,4,5]=>6 [6,3,1,2,5,4]=>6 [6,3,1,4,2,5]=>6 [6,3,1,4,5,2]=>6 [6,3,1,5,2,4]=>6 [6,3,1,5,4,2]=>6 [6,3,2,1,4,5]=>6 [6,3,2,1,5,4]=>6 [6,3,2,4,1,5]=>6 [6,3,2,4,5,1]=>6 [6,3,2,5,1,4]=>6 [6,3,2,5,4,1]=>6 [6,3,4,1,2,5]=>6 [6,3,4,1,5,2]=>6 [6,3,4,2,1,5]=>6 [6,3,4,2,5,1]=>6 [6,3,4,5,1,2]=>6 [6,3,4,5,2,1]=>6 [6,3,5,1,2,4]=>6 [6,3,5,1,4,2]=>6 [6,3,5,2,1,4]=>6 [6,3,5,2,4,1]=>6 [6,3,5,4,1,2]=>6 [6,3,5,4,2,1]=>6 [6,4,1,2,3,5]=>6 [6,4,1,2,5,3]=>6 [6,4,1,3,2,5]=>6 [6,4,1,3,5,2]=>6 [6,4,1,5,2,3]=>6 [6,4,1,5,3,2]=>6 [6,4,2,1,3,5]=>6 [6,4,2,1,5,3]=>6 [6,4,2,3,1,5]=>6 [6,4,2,3,5,1]=>6 [6,4,2,5,1,3]=>6 [6,4,2,5,3,1]=>6 [6,4,3,1,2,5]=>6 [6,4,3,1,5,2]=>6 [6,4,3,2,1,5]=>6 [6,4,3,2,5,1]=>6 [6,4,3,5,1,2]=>6 [6,4,3,5,2,1]=>6 [6,4,5,1,2,3]=>6 [6,4,5,1,3,2]=>6 [6,4,5,2,1,3]=>6 [6,4,5,2,3,1]=>6 [6,4,5,3,1,2]=>6 [6,4,5,3,2,1]=>6 [6,5,1,2,3,4]=>6 [6,5,1,2,4,3]=>6 [6,5,1,3,2,4]=>6 [6,5,1,3,4,2]=>6 [6,5,1,4,2,3]=>6 [6,5,1,4,3,2]=>6 [6,5,2,1,3,4]=>6 [6,5,2,1,4,3]=>6 [6,5,2,3,1,4]=>6 [6,5,2,3,4,1]=>6 [6,5,2,4,1,3]=>6 [6,5,2,4,3,1]=>6 [6,5,3,1,2,4]=>6 [6,5,3,1,4,2]=>6 [6,5,3,2,1,4]=>6 [6,5,3,2,4,1]=>6 [6,5,3,4,1,2]=>6 [6,5,3,4,2,1]=>6 [6,5,4,1,2,3]=>6 [6,5,4,1,3,2]=>6 [6,5,4,2,1,3]=>6 [6,5,4,2,3,1]=>6 [6,5,4,3,1,2]=>6 [6,5,4,3,2,1]=>6 [1,2,3,4,5,6,7]=>1 [1,2,3,4,5,7,6]=>1 [1,2,3,4,6,5,7]=>1 [1,2,3,4,6,7,5]=>1 [1,2,3,4,7,5,6]=>1 [1,2,3,4,7,6,5]=>1 [1,2,3,5,4,6,7]=>1 [1,2,3,5,4,7,6]=>1 [1,2,3,5,6,4,7]=>1 [1,2,3,5,6,7,4]=>1 [1,2,3,5,7,4,6]=>1 [1,2,3,5,7,6,4]=>1 [1,2,3,6,4,5,7]=>1 [1,2,3,6,4,7,5]=>1 [1,2,3,6,5,4,7]=>1 [1,2,3,6,5,7,4]=>1 [1,2,3,6,7,4,5]=>1 [1,2,3,6,7,5,4]=>1 [1,2,3,7,4,5,6]=>1 [1,2,3,7,4,6,5]=>1 [1,2,3,7,5,4,6]=>1 [1,2,3,7,5,6,4]=>1 [1,2,3,7,6,4,5]=>1 [1,2,3,7,6,5,4]=>1 [1,2,4,3,5,6,7]=>1 [1,2,4,3,5,7,6]=>1 [1,2,4,3,6,5,7]=>1 [1,2,4,3,6,7,5]=>1 [1,2,4,3,7,5,6]=>1 [1,2,4,3,7,6,5]=>1 [1,2,4,5,3,6,7]=>1 [1,2,4,5,3,7,6]=>1 [1,2,4,5,6,3,7]=>1 [1,2,4,5,6,7,3]=>1 [1,2,4,5,7,3,6]=>1 [1,2,4,5,7,6,3]=>1 [1,2,4,6,3,5,7]=>1 [1,2,4,6,3,7,5]=>1 [1,2,4,6,5,3,7]=>1 [1,2,4,6,5,7,3]=>1 [1,2,4,6,7,3,5]=>1 [1,2,4,6,7,5,3]=>1 [1,2,4,7,3,5,6]=>1 [1,2,4,7,3,6,5]=>1 [1,2,4,7,5,3,6]=>1 [1,2,4,7,5,6,3]=>1 [1,2,4,7,6,3,5]=>1 [1,2,4,7,6,5,3]=>1 [1,2,5,3,4,6,7]=>1 [1,2,5,3,4,7,6]=>1 [1,2,5,3,6,4,7]=>1 [1,2,5,3,6,7,4]=>1 [1,2,5,3,7,4,6]=>1 [1,2,5,3,7,6,4]=>1 [1,2,5,4,3,6,7]=>1 [1,2,5,4,3,7,6]=>1 [1,2,5,4,6,3,7]=>1 [1,2,5,4,6,7,3]=>1 [1,2,5,4,7,3,6]=>1 [1,2,5,4,7,6,3]=>1 [1,2,5,6,3,4,7]=>1 [1,2,5,6,3,7,4]=>1 [1,2,5,6,4,3,7]=>1 [1,2,5,6,4,7,3]=>1 [1,2,5,6,7,3,4]=>1 [1,2,5,6,7,4,3]=>1 [1,2,5,7,3,4,6]=>1 [1,2,5,7,3,6,4]=>1 [1,2,5,7,4,3,6]=>1 [1,2,5,7,4,6,3]=>1 [1,2,5,7,6,3,4]=>1 [1,2,5,7,6,4,3]=>1 [1,2,6,3,4,5,7]=>1 [1,2,6,3,4,7,5]=>1 [1,2,6,3,5,4,7]=>1 [1,2,6,3,5,7,4]=>1 [1,2,6,3,7,4,5]=>1 [1,2,6,3,7,5,4]=>1 [1,2,6,4,3,5,7]=>1 [1,2,6,4,3,7,5]=>1 [1,2,6,4,5,3,7]=>1 [1,2,6,4,5,7,3]=>1 [1,2,6,4,7,3,5]=>1 [1,2,6,4,7,5,3]=>1 [1,2,6,5,3,4,7]=>1 [1,2,6,5,3,7,4]=>1 [1,2,6,5,4,3,7]=>1 [1,2,6,5,4,7,3]=>1 [1,2,6,5,7,3,4]=>1 [1,2,6,5,7,4,3]=>1 [1,2,6,7,3,4,5]=>1 [1,2,6,7,3,5,4]=>1 [1,2,6,7,4,3,5]=>1 [1,2,6,7,4,5,3]=>1 [1,2,6,7,5,3,4]=>1 [1,2,6,7,5,4,3]=>1 [1,2,7,3,4,5,6]=>1 [1,2,7,3,4,6,5]=>1 [1,2,7,3,5,4,6]=>1 [1,2,7,3,5,6,4]=>1 [1,2,7,3,6,4,5]=>1 [1,2,7,3,6,5,4]=>1 [1,2,7,4,3,5,6]=>1 [1,2,7,4,3,6,5]=>1 [1,2,7,4,5,3,6]=>1 [1,2,7,4,5,6,3]=>1 [1,2,7,4,6,3,5]=>1 [1,2,7,4,6,5,3]=>1 [1,2,7,5,3,4,6]=>1 [1,2,7,5,3,6,4]=>1 [1,2,7,5,4,3,6]=>1 [1,2,7,5,4,6,3]=>1 [1,2,7,5,6,3,4]=>1 [1,2,7,5,6,4,3]=>1 [1,2,7,6,3,4,5]=>1 [1,2,7,6,3,5,4]=>1 [1,2,7,6,4,3,5]=>1 [1,2,7,6,4,5,3]=>1 [1,2,7,6,5,3,4]=>1 [1,2,7,6,5,4,3]=>1 [1,3,2,4,5,6,7]=>1 [1,3,2,4,5,7,6]=>1 [1,3,2,4,6,5,7]=>1 [1,3,2,4,6,7,5]=>1 [1,3,2,4,7,5,6]=>1 [1,3,2,4,7,6,5]=>1 [1,3,2,5,4,6,7]=>1 [1,3,2,5,4,7,6]=>1 [1,3,2,5,6,4,7]=>1 [1,3,2,5,6,7,4]=>1 [1,3,2,5,7,4,6]=>1 [1,3,2,5,7,6,4]=>1 [1,3,2,6,4,5,7]=>1 [1,3,2,6,4,7,5]=>1 [1,3,2,6,5,4,7]=>1 [1,3,2,6,5,7,4]=>1 [1,3,2,6,7,4,5]=>1 [1,3,2,6,7,5,4]=>1 [1,3,2,7,4,5,6]=>1 [1,3,2,7,4,6,5]=>1 [1,3,2,7,5,4,6]=>1 [1,3,2,7,5,6,4]=>1 [1,3,2,7,6,4,5]=>1 [1,3,2,7,6,5,4]=>1 [1,3,4,2,5,6,7]=>1 [1,3,4,2,5,7,6]=>1 [1,3,4,2,6,5,7]=>1 [1,3,4,2,6,7,5]=>1 [1,3,4,2,7,5,6]=>1 [1,3,4,2,7,6,5]=>1 [1,3,4,5,2,6,7]=>1 [1,3,4,5,2,7,6]=>1 [1,3,4,5,6,2,7]=>1 [1,3,4,5,6,7,2]=>1 [1,3,4,5,7,2,6]=>1 [1,3,4,5,7,6,2]=>1 [1,3,4,6,2,5,7]=>1 [1,3,4,6,2,7,5]=>1 [1,3,4,6,5,2,7]=>1 [1,3,4,6,5,7,2]=>1 [1,3,4,6,7,2,5]=>1 [1,3,4,6,7,5,2]=>1 [1,3,4,7,2,5,6]=>1 [1,3,4,7,2,6,5]=>1 [1,3,4,7,5,2,6]=>1 [1,3,4,7,5,6,2]=>1 [1,3,4,7,6,2,5]=>1 [1,3,4,7,6,5,2]=>1 [1,3,5,2,4,6,7]=>1 [1,3,5,2,4,7,6]=>1 [1,3,5,2,6,4,7]=>1 [1,3,5,2,6,7,4]=>1 [1,3,5,2,7,4,6]=>1 [1,3,5,2,7,6,4]=>1 [1,3,5,4,2,6,7]=>1 [1,3,5,4,2,7,6]=>1 [1,3,5,4,6,2,7]=>1 [1,3,5,4,6,7,2]=>1 [1,3,5,4,7,2,6]=>1 [1,3,5,4,7,6,2]=>1 [1,3,5,6,2,4,7]=>1 [1,3,5,6,2,7,4]=>1 [1,3,5,6,4,2,7]=>1 [1,3,5,6,4,7,2]=>1 [1,3,5,6,7,2,4]=>1 [1,3,5,6,7,4,2]=>1 [1,3,5,7,2,4,6]=>1 [1,3,5,7,2,6,4]=>1 [1,3,5,7,4,2,6]=>1 [1,3,5,7,4,6,2]=>1 [1,3,5,7,6,2,4]=>1 [1,3,5,7,6,4,2]=>1 [1,3,6,2,4,5,7]=>1 [1,3,6,2,4,7,5]=>1 [1,3,6,2,5,4,7]=>1 [1,3,6,2,5,7,4]=>1 [1,3,6,2,7,4,5]=>1 [1,3,6,2,7,5,4]=>1 [1,3,6,4,2,5,7]=>1 [1,3,6,4,2,7,5]=>1 [1,3,6,4,5,2,7]=>1 [1,3,6,4,5,7,2]=>1 [1,3,6,4,7,2,5]=>1 [1,3,6,4,7,5,2]=>1 [1,3,6,5,2,4,7]=>1 [1,3,6,5,2,7,4]=>1 [1,3,6,5,4,2,7]=>1 [1,3,6,5,4,7,2]=>1 [1,3,6,5,7,2,4]=>1 [1,3,6,5,7,4,2]=>1 [1,3,6,7,2,4,5]=>1 [1,3,6,7,2,5,4]=>1 [1,3,6,7,4,2,5]=>1 [1,3,6,7,4,5,2]=>1 [1,3,6,7,5,2,4]=>1 [1,3,6,7,5,4,2]=>1 [1,3,7,2,4,5,6]=>1 [1,3,7,2,4,6,5]=>1 [1,3,7,2,5,4,6]=>1 [1,3,7,2,5,6,4]=>1 [1,3,7,2,6,4,5]=>1 [1,3,7,2,6,5,4]=>1 [1,3,7,4,2,5,6]=>1 [1,3,7,4,2,6,5]=>1 [1,3,7,4,5,2,6]=>1 [1,3,7,4,5,6,2]=>1 [1,3,7,4,6,2,5]=>1 [1,3,7,4,6,5,2]=>1 [1,3,7,5,2,4,6]=>1 [1,3,7,5,2,6,4]=>1 [1,3,7,5,4,2,6]=>1 [1,3,7,5,4,6,2]=>1 [1,3,7,5,6,2,4]=>1 [1,3,7,5,6,4,2]=>1 [1,3,7,6,2,4,5]=>1 [1,3,7,6,2,5,4]=>1 [1,3,7,6,4,2,5]=>1 [1,3,7,6,4,5,2]=>1 [1,3,7,6,5,2,4]=>1 [1,3,7,6,5,4,2]=>1 [1,4,2,3,5,6,7]=>1 [1,4,2,3,5,7,6]=>1 [1,4,2,3,6,5,7]=>1 [1,4,2,3,6,7,5]=>1 [1,4,2,3,7,5,6]=>1 [1,4,2,3,7,6,5]=>1 [1,4,2,5,3,6,7]=>1 [1,4,2,5,3,7,6]=>1 [1,4,2,5,6,3,7]=>1 [1,4,2,5,6,7,3]=>1 [1,4,2,5,7,3,6]=>1 [1,4,2,5,7,6,3]=>1 [1,4,2,6,3,5,7]=>1 [1,4,2,6,3,7,5]=>1 [1,4,2,6,5,3,7]=>1 [1,4,2,6,5,7,3]=>1 [1,4,2,6,7,3,5]=>1 [1,4,2,6,7,5,3]=>1 [1,4,2,7,3,5,6]=>1 [1,4,2,7,3,6,5]=>1 [1,4,2,7,5,3,6]=>1 [1,4,2,7,5,6,3]=>1 [1,4,2,7,6,3,5]=>1 [1,4,2,7,6,5,3]=>1 [1,4,3,2,5,6,7]=>1 [1,4,3,2,5,7,6]=>1 [1,4,3,2,6,5,7]=>1 [1,4,3,2,6,7,5]=>1 [1,4,3,2,7,5,6]=>1 [1,4,3,2,7,6,5]=>1 [1,4,3,5,2,6,7]=>1 [1,4,3,5,2,7,6]=>1 [1,4,3,5,6,2,7]=>1 [1,4,3,5,6,7,2]=>1 [1,4,3,5,7,2,6]=>1 [1,4,3,5,7,6,2]=>1 [1,4,3,6,2,5,7]=>1 [1,4,3,6,2,7,5]=>1 [1,4,3,6,5,2,7]=>1 [1,4,3,6,5,7,2]=>1 [1,4,3,6,7,2,5]=>1 [1,4,3,6,7,5,2]=>1 [1,4,3,7,2,5,6]=>1 [1,4,3,7,2,6,5]=>1 [1,4,3,7,5,2,6]=>1 [1,4,3,7,5,6,2]=>1 [1,4,3,7,6,2,5]=>1 [1,4,3,7,6,5,2]=>1 [1,4,5,2,3,6,7]=>1 [1,4,5,2,3,7,6]=>1 [1,4,5,2,6,3,7]=>1 [1,4,5,2,6,7,3]=>1 [1,4,5,2,7,3,6]=>1 [1,4,5,2,7,6,3]=>1 [1,4,5,3,2,6,7]=>1 [1,4,5,3,2,7,6]=>1 [1,4,5,3,6,2,7]=>1 [1,4,5,3,6,7,2]=>1 [1,4,5,3,7,2,6]=>1 [1,4,5,3,7,6,2]=>1 [1,4,5,6,2,3,7]=>1 [1,4,5,6,2,7,3]=>1 [1,4,5,6,3,2,7]=>1 [1,4,5,6,3,7,2]=>1 [1,4,5,6,7,2,3]=>1 [1,4,5,6,7,3,2]=>1 [1,4,5,7,2,3,6]=>1 [1,4,5,7,2,6,3]=>1 [1,4,5,7,3,2,6]=>1 [1,4,5,7,3,6,2]=>1 [1,4,5,7,6,2,3]=>1 [1,4,5,7,6,3,2]=>1 [1,4,6,2,3,5,7]=>1 [1,4,6,2,3,7,5]=>1 [1,4,6,2,5,3,7]=>1 [1,4,6,2,5,7,3]=>1 [1,4,6,2,7,3,5]=>1 [1,4,6,2,7,5,3]=>1 [1,4,6,3,2,5,7]=>1 [1,4,6,3,2,7,5]=>1 [1,4,6,3,5,2,7]=>1 [1,4,6,3,5,7,2]=>1 [1,4,6,3,7,2,5]=>1 [1,4,6,3,7,5,2]=>1 [1,4,6,5,2,3,7]=>1 [1,4,6,5,2,7,3]=>1 [1,4,6,5,3,2,7]=>1 [1,4,6,5,3,7,2]=>1
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Description
The size of the first part in the decomposition of a permutation.
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is defined to be the smallest $k > 0$ such that $\{\pi(1),\ldots,\pi(k)\} = \{1,\ldots,k\}$. This statistic is undefined for the empty permutation.
For the number of parts in the decomposition see St000056The decomposition (or block) number of a permutation..
References
[1] Gao, A. L. L., Kitaev, S., Zhang, P. B. On pattern avoiding indecomposable permutations arXiv:1605.05490
Code
def statistic(pi):
    if not pi:
        return
    k = 1
    while sorted(pi[:k]) != [1..k]:
        k += 1
    return k
Created
May 19, 2016 at 15:47 by Christian Stump
Updated
Jan 07, 2021 at 21:29 by Martin Rubey