edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>2 [2,1]=>2 [1,2,3]=>2 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>2 [3,1,2]=>2 [3,2,1]=>2 [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]=>2 [2,1,3,4]=>2 [2,1,4,3]=>2 [2,3,1,4]=>2 [2,3,4,1]=>2 [2,4,1,3]=>3 [2,4,3,1]=>2 [3,1,2,4]=>2 [3,1,4,2]=>3 [3,2,1,4]=>2 [3,2,4,1]=>2 [3,4,1,2]=>2 [3,4,2,1]=>2 [4,1,2,3]=>2 [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]=>3 [1,3,5,4,2]=>2 [1,4,2,3,5]=>2 [1,4,2,5,3]=>3 [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]=>3 [2,4,1,5,3]=>3 [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]=>3 [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]=>3 [3,1,4,5,2]=>2 [3,1,5,2,4]=>3 [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]=>3 [3,5,2,1,4]=>2 [3,5,2,4,1]=>3 [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]=>3 [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]=>3 [4,2,5,3,1]=>3 [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]=>3 [5,2,4,3,1]=>2 [5,3,1,2,4]=>2 [5,3,1,4,2]=>3 [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]=>2 [1,2,3,4,6,5]=>2 [1,2,3,5,4,6]=>2 [1,2,3,5,6,4]=>2 [1,2,3,6,4,5]=>2 [1,2,3,6,5,4]=>2 [1,2,4,3,5,6]=>2 [1,2,4,3,6,5]=>2 [1,2,4,5,3,6]=>2 [1,2,4,5,6,3]=>2 [1,2,4,6,3,5]=>2 [1,2,4,6,5,3]=>2 [1,2,5,3,4,6]=>2 [1,2,5,3,6,4]=>2 [1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>2 [1,2,5,6,3,4]=>2 [1,2,5,6,4,3]=>2 [1,2,6,3,4,5]=>2 [1,2,6,3,5,4]=>2 [1,2,6,4,3,5]=>2 [1,2,6,4,5,3]=>2 [1,2,6,5,3,4]=>2 [1,2,6,5,4,3]=>2 [1,3,2,4,5,6]=>2 [1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>2 [1,3,2,6,4,5]=>2 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>2 [1,3,4,2,6,5]=>2 [1,3,4,5,2,6]=>2 [1,3,4,5,6,2]=>2 [1,3,4,6,2,5]=>2 [1,3,4,6,5,2]=>2 [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]=>2 [1,3,5,6,2,4]=>2 [1,3,5,6,4,2]=>2 [1,3,6,2,4,5]=>2 [1,3,6,2,5,4]=>2 [1,3,6,4,2,5]=>3 [1,3,6,4,5,2]=>2 [1,3,6,5,2,4]=>2 [1,3,6,5,4,2]=>2 [1,4,2,3,5,6]=>2 [1,4,2,3,6,5]=>2 [1,4,2,5,3,6]=>3 [1,4,2,5,6,3]=>2 [1,4,2,6,3,5]=>3 [1,4,2,6,5,3]=>2 [1,4,3,2,5,6]=>2 [1,4,3,2,6,5]=>2 [1,4,3,5,2,6]=>2 [1,4,3,5,6,2]=>2 [1,4,3,6,2,5]=>2 [1,4,3,6,5,2]=>2 [1,4,5,2,3,6]=>2 [1,4,5,2,6,3]=>2 [1,4,5,3,2,6]=>2 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>2 [1,4,5,6,3,2]=>2 [1,4,6,2,3,5]=>2 [1,4,6,2,5,3]=>3 [1,4,6,3,2,5]=>2 [1,4,6,3,5,2]=>3 [1,4,6,5,2,3]=>2 [1,4,6,5,3,2]=>2 [1,5,2,3,4,6]=>2 [1,5,2,3,6,4]=>2 [1,5,2,4,3,6]=>2 [1,5,2,4,6,3]=>3 [1,5,2,6,3,4]=>2 [1,5,2,6,4,3]=>2 [1,5,3,2,4,6]=>2 [1,5,3,2,6,4]=>2 [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]=>2 [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]=>2 [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]=>2 [1,6,2,4,3,5]=>2 [1,6,2,4,5,3]=>2 [1,6,2,5,3,4]=>2 [1,6,2,5,4,3]=>2 [1,6,3,2,4,5]=>2 [1,6,3,2,5,4]=>2 [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]=>2 [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]=>2 [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]=>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]=>2 [2,3,1,4,6,5]=>2 [2,3,1,5,4,6]=>2 [2,3,1,5,6,4]=>2 [2,3,1,6,4,5]=>2 [2,3,1,6,5,4]=>2 [2,3,4,1,5,6]=>2 [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]=>2 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>2 [2,3,5,4,6,1]=>2 [2,3,5,6,1,4]=>2 [2,3,5,6,4,1]=>2 [2,3,6,1,4,5]=>2 [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]=>2 [2,4,1,3,6,5]=>2 [2,4,1,5,3,6]=>3 [2,4,1,5,6,3]=>2 [2,4,1,6,3,5]=>3 [2,4,1,6,5,3]=>2 [2,4,3,1,5,6]=>2 [2,4,3,1,6,5]=>2 [2,4,3,5,1,6]=>2 [2,4,3,5,6,1]=>2 [2,4,3,6,1,5]=>2 [2,4,3,6,5,1]=>2 [2,4,5,1,3,6]=>2 [2,4,5,1,6,3]=>2 [2,4,5,3,1,6]=>2 [2,4,5,3,6,1]=>2 [2,4,5,6,1,3]=>2 [2,4,5,6,3,1]=>2 [2,4,6,1,3,5]=>3 [2,4,6,1,5,3]=>3 [2,4,6,3,1,5]=>3 [2,4,6,3,5,1]=>3 [2,4,6,5,1,3]=>2 [2,4,6,5,3,1]=>2 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>3 [2,5,1,4,3,6]=>2 [2,5,1,4,6,3]=>3 [2,5,1,6,3,4]=>2 [2,5,1,6,4,3]=>2 [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]=>2 [2,5,4,1,6,3]=>2 [2,5,4,3,1,6]=>2 [2,5,4,3,6,1]=>2 [2,5,4,6,1,3]=>2 [2,5,4,6,3,1]=>2 [2,5,6,1,3,4]=>2 [2,5,6,1,4,3]=>2 [2,5,6,3,1,4]=>2 [2,5,6,3,4,1]=>2 [2,5,6,4,1,3]=>2 [2,5,6,4,3,1]=>2 [2,6,1,3,4,5]=>2 [2,6,1,3,5,4]=>2 [2,6,1,4,3,5]=>2 [2,6,1,4,5,3]=>2 [2,6,1,5,3,4]=>2 [2,6,1,5,4,3]=>2 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>2 [2,6,3,4,1,5]=>2 [2,6,3,4,5,1]=>2 [2,6,3,5,1,4]=>3 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>3 [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]=>2 [2,6,4,5,3,1]=>2 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>2 [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]=>2 [3,1,2,4,6,5]=>2 [3,1,2,5,4,6]=>2 [3,1,2,5,6,4]=>2 [3,1,2,6,4,5]=>2 [3,1,2,6,5,4]=>2 [3,1,4,2,5,6]=>2 [3,1,4,2,6,5]=>2 [3,1,4,5,2,6]=>2 [3,1,4,5,6,2]=>2 [3,1,4,6,2,5]=>3 [3,1,4,6,5,2]=>2 [3,1,5,2,4,6]=>3 [3,1,5,2,6,4]=>3 [3,1,5,4,2,6]=>2 [3,1,5,4,6,2]=>2 [3,1,5,6,2,4]=>2 [3,1,5,6,4,2]=>2 [3,1,6,2,4,5]=>2 [3,1,6,2,5,4]=>2 [3,1,6,4,2,5]=>3 [3,1,6,4,5,2]=>2 [3,1,6,5,2,4]=>2 [3,1,6,5,4,2]=>2 [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]=>2 [3,2,4,1,5,6]=>2 [3,2,4,1,6,5]=>2 [3,2,4,5,1,6]=>2 [3,2,4,5,6,1]=>2 [3,2,4,6,1,5]=>2 [3,2,4,6,5,1]=>2 [3,2,5,1,4,6]=>2 [3,2,5,1,6,4]=>2 [3,2,5,4,1,6]=>2 [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]=>2 [3,2,6,4,1,5]=>2 [3,2,6,4,5,1]=>2 [3,2,6,5,1,4]=>2 [3,2,6,5,4,1]=>2 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>2 [3,4,1,5,2,6]=>2 [3,4,1,5,6,2]=>2 [3,4,1,6,2,5]=>2 [3,4,1,6,5,2]=>2 [3,4,2,1,5,6]=>2 [3,4,2,1,6,5]=>2 [3,4,2,5,1,6]=>2 [3,4,2,5,6,1]=>2 [3,4,2,6,1,5]=>2 [3,4,2,6,5,1]=>2 [3,4,5,1,2,6]=>2 [3,4,5,1,6,2]=>2 [3,4,5,2,1,6]=>2 [3,4,5,2,6,1]=>2 [3,4,5,6,1,2]=>2 [3,4,5,6,2,1]=>2 [3,4,6,1,2,5]=>2 [3,4,6,1,5,2]=>2 [3,4,6,2,1,5]=>2 [3,4,6,2,5,1]=>2 [3,4,6,5,1,2]=>2 [3,4,6,5,2,1]=>2 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>2 [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]=>2 [3,5,2,1,6,4]=>2 [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]=>3 [3,5,4,1,2,6]=>2 [3,5,4,1,6,2]=>2 [3,5,4,2,1,6]=>2 [3,5,4,2,6,1]=>2 [3,5,4,6,1,2]=>2 [3,5,4,6,2,1]=>2 [3,5,6,1,2,4]=>2 [3,5,6,1,4,2]=>2 [3,5,6,2,1,4]=>2 [3,5,6,2,4,1]=>2 [3,5,6,4,1,2]=>2 [3,5,6,4,2,1]=>2 [3,6,1,2,4,5]=>2 [3,6,1,2,5,4]=>2 [3,6,1,4,2,5]=>3 [3,6,1,4,5,2]=>2 [3,6,1,5,2,4]=>3 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>2 [3,6,2,1,5,4]=>2 [3,6,2,4,1,5]=>3 [3,6,2,4,5,1]=>2 [3,6,2,5,1,4]=>3 [3,6,2,5,4,1]=>2 [3,6,4,1,2,5]=>2 [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]=>2 [3,6,4,5,2,1]=>2 [3,6,5,1,2,4]=>2 [3,6,5,1,4,2]=>2 [3,6,5,2,1,4]=>2 [3,6,5,2,4,1]=>2 [3,6,5,4,1,2]=>2 [3,6,5,4,2,1]=>2 [4,1,2,3,5,6]=>2 [4,1,2,3,6,5]=>2 [4,1,2,5,3,6]=>2 [4,1,2,5,6,3]=>2 [4,1,2,6,3,5]=>2 [4,1,2,6,5,3]=>2 [4,1,3,2,5,6]=>2 [4,1,3,2,6,5]=>2 [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]=>2 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>3 [4,1,5,3,2,6]=>2 [4,1,5,3,6,2]=>3 [4,1,5,6,2,3]=>2 [4,1,5,6,3,2]=>2 [4,1,6,2,3,5]=>2 [4,1,6,2,5,3]=>3 [4,1,6,3,2,5]=>2 [4,1,6,3,5,2]=>3 [4,1,6,5,2,3]=>2 [4,1,6,5,3,2]=>2 [4,2,1,3,5,6]=>2 [4,2,1,3,6,5]=>2 [4,2,1,5,3,6]=>2 [4,2,1,5,6,3]=>2 [4,2,1,6,3,5]=>2 [4,2,1,6,5,3]=>2 [4,2,3,1,5,6]=>2 [4,2,3,1,6,5]=>2 [4,2,3,5,1,6]=>2 [4,2,3,5,6,1]=>2 [4,2,3,6,1,5]=>2 [4,2,3,6,5,1]=>2 [4,2,5,1,3,6]=>3 [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]=>2 [4,2,5,6,3,1]=>2 [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]=>2 [4,2,6,5,3,1]=>2 [4,3,1,2,5,6]=>2 [4,3,1,2,6,5]=>2 [4,3,1,5,2,6]=>2 [4,3,1,5,6,2]=>2 [4,3,1,6,2,5]=>2 [4,3,1,6,5,2]=>2 [4,3,2,1,5,6]=>2 [4,3,2,1,6,5]=>2 [4,3,2,5,1,6]=>2 [4,3,2,5,6,1]=>2 [4,3,2,6,1,5]=>2 [4,3,2,6,5,1]=>2 [4,3,5,1,2,6]=>2 [4,3,5,1,6,2]=>2 [4,3,5,2,1,6]=>2 [4,3,5,2,6,1]=>2 [4,3,5,6,1,2]=>2 [4,3,5,6,2,1]=>2 [4,3,6,1,2,5]=>2 [4,3,6,1,5,2]=>2 [4,3,6,2,1,5]=>2 [4,3,6,2,5,1]=>2 [4,3,6,5,1,2]=>2 [4,3,6,5,2,1]=>2 [4,5,1,2,3,6]=>2 [4,5,1,2,6,3]=>2 [4,5,1,3,2,6]=>2 [4,5,1,3,6,2]=>2 [4,5,1,6,2,3]=>2 [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]=>2 [4,5,2,6,1,3]=>2 [4,5,2,6,3,1]=>2 [4,5,3,1,2,6]=>2 [4,5,3,1,6,2]=>2 [4,5,3,2,1,6]=>2 [4,5,3,2,6,1]=>2 [4,5,3,6,1,2]=>2 [4,5,3,6,2,1]=>2 [4,5,6,1,2,3]=>2 [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]=>2 [4,6,1,2,5,3]=>2 [4,6,1,3,2,5]=>2 [4,6,1,3,5,2]=>3 [4,6,1,5,2,3]=>2 [4,6,1,5,3,2]=>2 [4,6,2,1,3,5]=>2 [4,6,2,1,5,3]=>2 [4,6,2,3,1,5]=>2 [4,6,2,3,5,1]=>2 [4,6,2,5,1,3]=>3 [4,6,2,5,3,1]=>3 [4,6,3,1,2,5]=>2 [4,6,3,1,5,2]=>3 [4,6,3,2,1,5]=>2 [4,6,3,2,5,1]=>2 [4,6,3,5,1,2]=>2 [4,6,3,5,2,1]=>2 [4,6,5,1,2,3]=>2 [4,6,5,1,3,2]=>2 [4,6,5,2,1,3]=>2 [4,6,5,2,3,1]=>2 [4,6,5,3,1,2]=>2 [4,6,5,3,2,1]=>2 [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]=>2 [5,1,2,6,4,3]=>2 [5,1,3,2,4,6]=>2 [5,1,3,2,6,4]=>2 [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]=>3 [5,1,4,2,3,6]=>2 [5,1,4,2,6,3]=>3 [5,1,4,3,2,6]=>2 [5,1,4,3,6,2]=>2 [5,1,4,6,2,3]=>2 [5,1,4,6,3,2]=>2 [5,1,6,2,3,4]=>2 [5,1,6,2,4,3]=>2 [5,1,6,3,2,4]=>2 [5,1,6,3,4,2]=>2 [5,1,6,4,2,3]=>2 [5,1,6,4,3,2]=>2 [5,2,1,3,4,6]=>2 [5,2,1,3,6,4]=>2 [5,2,1,4,3,6]=>2 [5,2,1,4,6,3]=>2 [5,2,1,6,3,4]=>2 [5,2,1,6,4,3]=>2 [5,2,3,1,4,6]=>2 [5,2,3,1,6,4]=>2 [5,2,3,4,1,6]=>2 [5,2,3,4,6,1]=>2 [5,2,3,6,1,4]=>2 [5,2,3,6,4,1]=>2 [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]=>2 [5,2,6,1,4,3]=>2 [5,2,6,3,1,4]=>3 [5,2,6,3,4,1]=>2 [5,2,6,4,1,3]=>3 [5,2,6,4,3,1]=>2 [5,3,1,2,4,6]=>2 [5,3,1,2,6,4]=>2 [5,3,1,4,2,6]=>3 [5,3,1,4,6,2]=>3 [5,3,1,6,2,4]=>3 [5,3,1,6,4,2]=>3 [5,3,2,1,4,6]=>2 [5,3,2,1,6,4]=>2 [5,3,2,4,1,6]=>2 [5,3,2,4,6,1]=>2 [5,3,2,6,1,4]=>2 [5,3,2,6,4,1]=>2 [5,3,4,1,2,6]=>2 [5,3,4,1,6,2]=>2 [5,3,4,2,1,6]=>2 [5,3,4,2,6,1]=>2 [5,3,4,6,1,2]=>2 [5,3,4,6,2,1]=>2 [5,3,6,1,2,4]=>2 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>2 [5,3,6,2,4,1]=>3 [5,3,6,4,1,2]=>2 [5,3,6,4,2,1]=>2 [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]=>2 [5,4,2,1,3,6]=>2 [5,4,2,1,6,3]=>2 [5,4,2,3,1,6]=>2 [5,4,2,3,6,1]=>2 [5,4,2,6,1,3]=>2 [5,4,2,6,3,1]=>2 [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]=>2 [5,4,6,1,2,3]=>2 [5,4,6,1,3,2]=>2 [5,4,6,2,1,3]=>2 [5,4,6,2,3,1]=>2 [5,4,6,3,1,2]=>2 [5,4,6,3,2,1]=>2 [5,6,1,2,3,4]=>2 [5,6,1,2,4,3]=>2 [5,6,1,3,2,4]=>2 [5,6,1,3,4,2]=>2 [5,6,1,4,2,3]=>2 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>2 [5,6,2,1,4,3]=>2 [5,6,2,3,1,4]=>2 [5,6,2,3,4,1]=>2 [5,6,2,4,1,3]=>2 [5,6,2,4,3,1]=>2 [5,6,3,1,2,4]=>2 [5,6,3,1,4,2]=>2 [5,6,3,2,1,4]=>2 [5,6,3,2,4,1]=>2 [5,6,3,4,1,2]=>2 [5,6,3,4,2,1]=>2 [5,6,4,1,2,3]=>2 [5,6,4,1,3,2]=>2 [5,6,4,2,1,3]=>2 [5,6,4,2,3,1]=>2 [5,6,4,3,1,2]=>2 [5,6,4,3,2,1]=>2 [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]=>2 [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]=>2 [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]=>2 [6,1,4,5,3,2]=>2 [6,1,5,2,3,4]=>2 [6,1,5,2,4,3]=>2 [6,1,5,3,2,4]=>2 [6,1,5,3,4,2]=>2 [6,1,5,4,2,3]=>2 [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]=>2 [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]=>2 [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]=>2 [6,2,4,5,3,1]=>2 [6,2,5,1,3,4]=>2 [6,2,5,1,4,3]=>2 [6,2,5,3,1,4]=>3 [6,2,5,3,4,1]=>2 [6,2,5,4,1,3]=>2 [6,2,5,4,3,1]=>2 [6,3,1,2,4,5]=>2 [6,3,1,2,5,4]=>2 [6,3,1,4,2,5]=>3 [6,3,1,4,5,2]=>2 [6,3,1,5,2,4]=>3 [6,3,1,5,4,2]=>2 [6,3,2,1,4,5]=>2 [6,3,2,1,5,4]=>2 [6,3,2,4,1,5]=>2 [6,3,2,4,5,1]=>2 [6,3,2,5,1,4]=>2 [6,3,2,5,4,1]=>2 [6,3,4,1,2,5]=>2 [6,3,4,1,5,2]=>2 [6,3,4,2,1,5]=>2 [6,3,4,2,5,1]=>2 [6,3,4,5,1,2]=>2 [6,3,4,5,2,1]=>2 [6,3,5,1,2,4]=>2 [6,3,5,1,4,2]=>3 [6,3,5,2,1,4]=>2 [6,3,5,2,4,1]=>3 [6,3,5,4,1,2]=>2 [6,3,5,4,2,1]=>2 [6,4,1,2,3,5]=>2 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>2 [6,4,1,3,5,2]=>3 [6,4,1,5,2,3]=>2 [6,4,1,5,3,2]=>2 [6,4,2,1,3,5]=>2 [6,4,2,1,5,3]=>2 [6,4,2,3,1,5]=>2 [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]=>2 [6,4,3,1,5,2]=>2 [6,4,3,2,1,5]=>2 [6,4,3,2,5,1]=>2 [6,4,3,5,1,2]=>2 [6,4,3,5,2,1]=>2 [6,4,5,1,2,3]=>2 [6,4,5,1,3,2]=>2 [6,4,5,2,1,3]=>2 [6,4,5,2,3,1]=>2 [6,4,5,3,1,2]=>2 [6,4,5,3,2,1]=>2 [6,5,1,2,3,4]=>2 [6,5,1,2,4,3]=>2 [6,5,1,3,2,4]=>2 [6,5,1,3,4,2]=>2 [6,5,1,4,2,3]=>2 [6,5,1,4,3,2]=>2 [6,5,2,1,3,4]=>2 [6,5,2,1,4,3]=>2 [6,5,2,3,1,4]=>2 [6,5,2,3,4,1]=>2 [6,5,2,4,1,3]=>2 [6,5,2,4,3,1]=>2 [6,5,3,1,2,4]=>2 [6,5,3,1,4,2]=>2 [6,5,3,2,1,4]=>2 [6,5,3,2,4,1]=>2 [6,5,3,4,1,2]=>2 [6,5,3,4,2,1]=>2 [6,5,4,1,2,3]=>2 [6,5,4,1,3,2]=>2 [6,5,4,2,1,3]=>2 [6,5,4,2,3,1]=>2 [6,5,4,3,1,2]=>2 [6,5,4,3,2,1]=>2 [1,2,3,4,5,6,7]=>2 [1,2,3,4,5,7,6]=>2 [1,2,3,4,6,5,7]=>2 [1,2,3,4,6,7,5]=>2 [1,2,3,4,7,5,6]=>2 [1,2,3,4,7,6,5]=>2 [1,2,3,5,4,6,7]=>2 [1,2,3,5,4,7,6]=>2 [1,2,3,5,6,4,7]=>2 [1,2,3,5,6,7,4]=>2 [1,2,3,5,7,4,6]=>2 [1,2,3,5,7,6,4]=>2 [1,2,3,6,4,5,7]=>2 [1,2,3,6,4,7,5]=>2 [1,2,3,6,5,4,7]=>2 [1,2,3,6,5,7,4]=>2 [1,2,3,6,7,4,5]=>2 [1,2,3,6,7,5,4]=>2 [1,2,3,7,4,5,6]=>2 [1,2,3,7,4,6,5]=>2 [1,2,3,7,5,4,6]=>2 [1,2,3,7,5,6,4]=>2 [1,2,3,7,6,4,5]=>2 [1,2,3,7,6,5,4]=>2 [1,2,4,3,5,6,7]=>2 [1,2,4,3,5,7,6]=>2 [1,2,4,3,6,5,7]=>2 [1,2,4,3,6,7,5]=>2 [1,2,4,3,7,5,6]=>2 [1,2,4,3,7,6,5]=>2 [1,2,4,5,3,6,7]=>2 [1,2,4,5,3,7,6]=>2 [1,2,4,5,6,3,7]=>2 [1,2,4,5,6,7,3]=>2 [1,2,4,5,7,3,6]=>2 [1,2,4,5,7,6,3]=>2 [1,2,4,6,3,5,7]=>2 [1,2,4,6,3,7,5]=>2 [1,2,4,6,5,3,7]=>2 [1,2,4,6,5,7,3]=>2 [1,2,4,6,7,3,5]=>2 [1,2,4,6,7,5,3]=>2 [1,2,4,7,3,5,6]=>2 [1,2,4,7,3,6,5]=>2 [1,2,4,7,5,3,6]=>2 [1,2,4,7,5,6,3]=>2 [1,2,4,7,6,3,5]=>2 [1,2,4,7,6,5,3]=>2 [1,2,5,3,4,6,7]=>2 [1,2,5,3,4,7,6]=>2 [1,2,5,3,6,4,7]=>2 [1,2,5,3,6,7,4]=>2 [1,2,5,3,7,4,6]=>2 [1,2,5,3,7,6,4]=>2 [1,2,5,4,3,6,7]=>2 [1,2,5,4,3,7,6]=>2 [1,2,5,4,6,3,7]=>2 [1,2,5,4,6,7,3]=>2 [1,2,5,4,7,3,6]=>2 [1,2,5,4,7,6,3]=>2 [1,2,5,6,3,4,7]=>2 [1,2,5,6,3,7,4]=>2 [1,2,5,6,4,3,7]=>2 [1,2,5,6,4,7,3]=>2 [1,2,5,6,7,3,4]=>2 [1,2,5,6,7,4,3]=>2 [1,2,5,7,3,4,6]=>2 [1,2,5,7,3,6,4]=>2 [1,2,5,7,4,3,6]=>2 [1,2,5,7,4,6,3]=>2 [1,2,5,7,6,3,4]=>2 [1,2,5,7,6,4,3]=>2 [1,2,6,3,4,5,7]=>2 [1,2,6,3,4,7,5]=>2 [1,2,6,3,5,4,7]=>2 [1,2,6,3,5,7,4]=>2 [1,2,6,3,7,4,5]=>2 [1,2,6,3,7,5,4]=>2 [1,2,6,4,3,5,7]=>2 [1,2,6,4,3,7,5]=>2 [1,2,6,4,5,3,7]=>2 [1,2,6,4,5,7,3]=>2 [1,2,6,4,7,3,5]=>2 [1,2,6,4,7,5,3]=>2 [1,2,6,5,3,4,7]=>2 [1,2,6,5,3,7,4]=>2 [1,2,6,5,4,3,7]=>2 [1,2,6,5,4,7,3]=>2 [1,2,6,5,7,3,4]=>2 [1,2,6,5,7,4,3]=>2 [1,2,6,7,3,4,5]=>2 [1,2,6,7,3,5,4]=>2 [1,2,6,7,4,3,5]=>2 [1,2,6,7,4,5,3]=>2 [1,2,6,7,5,3,4]=>2 [1,2,6,7,5,4,3]=>2 [1,2,7,3,4,5,6]=>2 [1,2,7,3,4,6,5]=>2 [1,2,7,3,5,4,6]=>2 [1,2,7,3,5,6,4]=>2 [1,2,7,3,6,4,5]=>2 [1,2,7,3,6,5,4]=>2 [1,2,7,4,3,5,6]=>2 [1,2,7,4,3,6,5]=>2 [1,2,7,4,5,3,6]=>2 [1,2,7,4,5,6,3]=>2 [1,2,7,4,6,3,5]=>2 [1,2,7,4,6,5,3]=>2 [1,2,7,5,3,4,6]=>2 [1,2,7,5,3,6,4]=>2 [1,2,7,5,4,3,6]=>2 [1,2,7,5,4,6,3]=>2 [1,2,7,5,6,3,4]=>2 [1,2,7,5,6,4,3]=>2 [1,2,7,6,3,4,5]=>2 [1,2,7,6,3,5,4]=>2 [1,2,7,6,4,3,5]=>2 [1,2,7,6,4,5,3]=>2 [1,2,7,6,5,3,4]=>2 [1,2,7,6,5,4,3]=>2 [1,3,2,4,5,6,7]=>2 [1,3,2,4,5,7,6]=>2 [1,3,2,4,6,5,7]=>2 [1,3,2,4,6,7,5]=>2 [1,3,2,4,7,5,6]=>2 [1,3,2,4,7,6,5]=>2 [1,3,2,5,4,6,7]=>2 [1,3,2,5,4,7,6]=>2 [1,3,2,5,6,4,7]=>2 [1,3,2,5,6,7,4]=>2 [1,3,2,5,7,4,6]=>2 [1,3,2,5,7,6,4]=>2 [1,3,2,6,4,5,7]=>2 [1,3,2,6,4,7,5]=>2 [1,3,2,6,5,4,7]=>2 [1,3,2,6,5,7,4]=>2 [1,3,2,6,7,4,5]=>2 [1,3,2,6,7,5,4]=>2 [1,3,2,7,4,5,6]=>2 [1,3,2,7,4,6,5]=>2 [1,3,2,7,5,4,6]=>2 [1,3,2,7,5,6,4]=>2 [1,3,2,7,6,4,5]=>2 [1,3,2,7,6,5,4]=>2 [1,3,4,2,5,6,7]=>2 [1,3,4,2,5,7,6]=>2 [1,3,4,2,6,5,7]=>2 [1,3,4,2,6,7,5]=>2 [1,3,4,2,7,5,6]=>2 [1,3,4,2,7,6,5]=>2 [1,3,4,5,2,6,7]=>2 [1,3,4,5,2,7,6]=>2 [1,3,4,5,6,2,7]=>2 [1,3,4,5,6,7,2]=>2 [1,3,4,5,7,2,6]=>2 [1,3,4,5,7,6,2]=>2 [1,3,4,6,2,5,7]=>2 [1,3,4,6,2,7,5]=>2 [1,3,4,6,5,2,7]=>2 [1,3,4,6,5,7,2]=>2 [1,3,4,6,7,2,5]=>2 [1,3,4,6,7,5,2]=>2 [1,3,4,7,2,5,6]=>2 [1,3,4,7,2,6,5]=>2 [1,3,4,7,5,2,6]=>2 [1,3,4,7,5,6,2]=>2 [1,3,4,7,6,2,5]=>2 [1,3,4,7,6,5,2]=>2 [1,3,5,2,4,6,7]=>2 [1,3,5,2,4,7,6]=>2 [1,3,5,2,6,4,7]=>3 [1,3,5,2,6,7,4]=>2 [1,3,5,2,7,4,6]=>3 [1,3,5,2,7,6,4]=>2 [1,3,5,4,2,6,7]=>2 [1,3,5,4,2,7,6]=>2 [1,3,5,4,6,2,7]=>2 [1,3,5,4,6,7,2]=>2 [1,3,5,4,7,2,6]=>2 [1,3,5,4,7,6,2]=>2 [1,3,5,6,2,4,7]=>2 [1,3,5,6,2,7,4]=>2 [1,3,5,6,4,2,7]=>2 [1,3,5,6,4,7,2]=>2 [1,3,5,6,7,2,4]=>2 [1,3,5,6,7,4,2]=>2 [1,3,5,7,2,4,6]=>3 [1,3,5,7,2,6,4]=>3 [1,3,5,7,4,2,6]=>3 [1,3,5,7,4,6,2]=>3 [1,3,5,7,6,2,4]=>2 [1,3,5,7,6,4,2]=>2 [1,3,6,2,4,5,7]=>2 [1,3,6,2,4,7,5]=>3 [1,3,6,2,5,4,7]=>2 [1,3,6,2,5,7,4]=>3 [1,3,6,2,7,4,5]=>2 [1,3,6,2,7,5,4]=>2 [1,3,6,4,2,5,7]=>3 [1,3,6,4,2,7,5]=>3 [1,3,6,4,5,2,7]=>2 [1,3,6,4,5,7,2]=>2 [1,3,6,4,7,2,5]=>3 [1,3,6,4,7,5,2]=>3 [1,3,6,5,2,4,7]=>2 [1,3,6,5,2,7,4]=>2 [1,3,6,5,4,2,7]=>2 [1,3,6,5,4,7,2]=>2 [1,3,6,5,7,2,4]=>2 [1,3,6,5,7,4,2]=>2 [1,3,6,7,2,4,5]=>2 [1,3,6,7,2,5,4]=>2 [1,3,6,7,4,2,5]=>2 [1,3,6,7,4,5,2]=>2 [1,3,6,7,5,2,4]=>2 [1,3,6,7,5,4,2]=>2 [1,3,7,2,4,5,6]=>2 [1,3,7,2,4,6,5]=>2 [1,3,7,2,5,4,6]=>2 [1,3,7,2,5,6,4]=>2 [1,3,7,2,6,4,5]=>2 [1,3,7,2,6,5,4]=>2 [1,3,7,4,2,5,6]=>2 [1,3,7,4,2,6,5]=>2 [1,3,7,4,5,2,6]=>2 [1,3,7,4,5,6,2]=>2 [1,3,7,4,6,2,5]=>3 [1,3,7,4,6,5,2]=>2 [1,3,7,5,2,4,6]=>3 [1,3,7,5,2,6,4]=>3 [1,3,7,5,4,2,6]=>2 [1,3,7,5,4,6,2]=>2 [1,3,7,5,6,2,4]=>2 [1,3,7,5,6,4,2]=>2 [1,3,7,6,2,4,5]=>2 [1,3,7,6,2,5,4]=>2 [1,3,7,6,4,2,5]=>2 [1,3,7,6,4,5,2]=>2 [1,3,7,6,5,2,4]=>2 [1,3,7,6,5,4,2]=>2 [1,4,2,3,5,6,7]=>2 [1,4,2,3,5,7,6]=>2 [1,4,2,3,6,5,7]=>2 [1,4,2,3,6,7,5]=>2 [1,4,2,3,7,5,6]=>2 [1,4,2,3,7,6,5]=>2 [1,4,2,5,3,6,7]=>2 [1,4,2,5,3,7,6]=>2 [1,4,2,5,6,3,7]=>2 [1,4,2,5,6,7,3]=>2 [1,4,2,5,7,3,6]=>3 [1,4,2,5,7,6,3]=>2 [1,4,2,6,3,5,7]=>3 [1,4,2,6,3,7,5]=>3 [1,4,2,6,5,3,7]=>2 [1,4,2,6,5,7,3]=>2 [1,4,2,6,7,3,5]=>2 [1,4,2,6,7,5,3]=>2 [1,4,2,7,3,5,6]=>2 [1,4,2,7,3,6,5]=>2 [1,4,2,7,5,3,6]=>3 [1,4,2,7,5,6,3]=>2 [1,4,2,7,6,3,5]=>2 [1,4,2,7,6,5,3]=>2 [1,4,3,2,5,6,7]=>2 [1,4,3,2,5,7,6]=>2 [1,4,3,2,6,5,7]=>2 [1,4,3,2,6,7,5]=>2 [1,4,3,2,7,5,6]=>2 [1,4,3,2,7,6,5]=>2 [1,4,3,5,2,6,7]=>2 [1,4,3,5,2,7,6]=>2 [1,4,3,5,6,2,7]=>2 [1,4,3,5,6,7,2]=>2 [1,4,3,5,7,2,6]=>2 [1,4,3,5,7,6,2]=>2 [1,4,3,6,2,5,7]=>2 [1,4,3,6,2,7,5]=>2 [1,4,3,6,5,2,7]=>2 [1,4,3,6,5,7,2]=>2 [1,4,3,6,7,2,5]=>2 [1,4,3,6,7,5,2]=>2 [1,4,3,7,2,5,6]=>2 [1,4,3,7,2,6,5]=>2 [1,4,3,7,5,2,6]=>2 [1,4,3,7,5,6,2]=>2 [1,4,3,7,6,2,5]=>2 [1,4,3,7,6,5,2]=>2 [1,4,5,2,3,6,7]=>2 [1,4,5,2,3,7,6]=>2 [1,4,5,2,6,3,7]=>2 [1,4,5,2,6,7,3]=>2 [1,4,5,2,7,3,6]=>2 [1,4,5,2,7,6,3]=>2 [1,4,5,3,2,6,7]=>2 [1,4,5,3,2,7,6]=>2 [1,4,5,3,6,2,7]=>2 [1,4,5,3,6,7,2]=>2 [1,4,5,3,7,2,6]=>2 [1,4,5,3,7,6,2]=>2 [1,4,5,6,2,3,7]=>2 [1,4,5,6,2,7,3]=>2 [1,4,5,6,3,2,7]=>2 [1,4,5,6,3,7,2]=>2 [1,4,5,6,7,2,3]=>2 [1,4,5,6,7,3,2]=>2 [1,4,5,7,2,3,6]=>2 [1,4,5,7,2,6,3]=>2 [1,4,5,7,3,2,6]=>2 [1,4,5,7,3,6,2]=>2 [1,4,5,7,6,2,3]=>2 [1,4,5,7,6,3,2]=>2 [1,4,6,2,3,5,7]=>2 [1,4,6,2,3,7,5]=>2 [1,4,6,2,5,3,7]=>3 [1,4,6,2,5,7,3]=>3 [1,4,6,2,7,3,5]=>3 [1,4,6,2,7,5,3]=>3 [1,4,6,3,2,5,7]=>2 [1,4,6,3,2,7,5]=>2 [1,4,6,3,5,2,7]=>3 [1,4,6,3,5,7,2]=>3 [1,4,6,3,7,2,5]=>3 [1,4,6,3,7,5,2]=>3 [1,4,6,5,2,3,7]=>2 [1,4,6,5,2,7,3]=>2 [1,4,6,5,3,2,7]=>2 [1,4,6,5,3,7,2]=>2 [1,4,6,7,2,3,5]=>2 [1,4,6,7,5,3,2]=>2 [1,4,7,2,3,5,6]=>2 [1,4,7,6,5,3,2]=>2 [1,5,2,3,4,7,6]=>2 [1,5,2,7,3,4,6]=>2 [1,5,4,7,6,3,2]=>2 [1,5,6,2,7,3,4]=>2 [1,5,6,4,7,3,2]=>2 [1,5,6,7,2,3,4]=>2 [1,5,6,7,4,3,2]=>2 [1,5,7,2,3,4,6]=>2 [1,5,7,6,4,3,2]=>2 [1,6,2,3,4,7,5]=>2 [1,6,2,3,7,4,5]=>2 [1,6,2,7,3,4,5]=>2 [1,6,5,4,3,7,2]=>2 [1,6,5,4,7,3,2]=>2 [1,6,5,7,4,3,2]=>2 [1,6,7,2,3,4,5]=>2 [1,6,7,5,4,3,2]=>2 [1,7,2,3,4,5,6]=>2 [1,7,3,5,6,4,2]=>2 [1,7,3,6,5,4,2]=>2 [1,7,4,3,6,5,2]=>2 [1,7,4,5,3,6,2]=>2 [1,7,4,5,6,3,2]=>2 [1,7,4,6,5,3,2]=>2 [1,7,5,4,3,6,2]=>2 [1,7,5,4,6,3,2]=>2 [1,7,6,4,5,3,2]=>2 [1,7,6,5,4,3,2]=>2 [2,1,3,4,5,6,7]=>2 [2,1,3,4,7,5,6]=>2 [2,1,3,7,4,5,6]=>2 [2,1,6,3,4,5,7]=>2 [2,1,7,3,4,5,6]=>2 [2,1,7,6,5,4,3]=>2 [2,3,1,4,5,6,7]=>2 [2,3,4,1,5,6,7]=>2 [2,3,4,1,5,7,6]=>2 [2,3,4,5,1,6,7]=>2 [2,3,4,5,1,7,6]=>2 [2,3,4,5,6,1,7]=>2 [2,3,4,5,6,7,1]=>2 [2,3,4,5,7,1,6]=>2 [2,3,4,6,1,7,5]=>2 [2,3,4,6,7,1,5]=>2 [2,3,4,7,1,5,6]=>2 [2,3,5,6,7,1,4]=>2 [2,4,1,3,5,6,7]=>2 [2,5,1,3,4,6,7]=>2 [2,5,7,1,3,4,6]=>2 [2,6,1,3,4,5,7]=>2 [2,6,1,7,3,4,5]=>2 [2,6,5,4,3,1,7]=>2 [2,6,7,1,3,4,5]=>2 [2,7,1,3,4,5,6]=>2 [3,1,2,4,5,6,7]=>2 [3,1,2,4,5,7,6]=>2 [3,2,1,4,5,6,7]=>2 [3,2,4,5,6,7,1]=>2 [3,4,1,2,5,6,7]=>2 [3,4,2,5,6,7,1]=>2 [3,4,5,2,6,7,1]=>2 [3,4,5,6,2,7,1]=>2 [3,4,5,6,7,1,2]=>2 [3,5,6,1,2,4,7]=>2 [3,5,6,4,2,1,7]=>2 [3,6,1,2,4,5,7]=>2 [3,6,5,4,2,1,7]=>2 [4,1,2,3,5,6,7]=>2 [4,1,2,3,5,7,6]=>2 [4,1,6,2,3,5,7]=>2 [4,2,3,5,6,7,1]=>2 [4,2,5,1,3,6,7]=>2 [4,3,2,1,5,6,7]=>2 [4,3,2,5,6,7,1]=>2 [4,3,5,2,6,7,1]=>2 [4,3,6,5,2,1,7]=>2 [4,5,1,6,2,3,7]=>2 [4,5,2,3,6,7,1]=>2 [4,5,3,6,2,1,7]=>2 [4,5,6,1,2,3,7]=>2 [4,5,6,3,2,1,7]=>2 [4,6,1,2,3,5,7]=>2 [4,6,1,2,3,7,5]=>2 [4,6,5,3,2,1,7]=>2 [5,1,2,3,4,6,7]=>2 [5,1,2,3,4,7,6]=>2 [5,1,2,3,6,4,7]=>2 [5,1,2,3,6,7,4]=>2 [5,1,2,3,7,4,6]=>2 [5,1,2,6,3,4,7]=>2 [5,1,6,2,3,4,7]=>2 [5,1,6,2,3,7,4]=>2 [5,2,3,4,6,7,1]=>2 [5,2,6,7,1,3,4]=>2 [5,3,2,4,6,7,1]=>2 [5,3,2,6,1,4,7]=>2 [5,3,6,7,1,2,4]=>2 [5,4,3,2,1,6,7]=>2 [5,4,3,2,1,7,6]=>2 [5,4,3,2,6,1,7]=>2 [5,4,3,6,2,1,7]=>2 [5,4,6,3,2,1,7]=>2 [5,4,6,7,1,2,3]=>2 [5,6,1,2,3,4,7]=>2 [5,6,1,2,3,7,4]=>2 [5,6,3,4,1,2,7]=>2 [5,6,4,3,2,1,7]=>2 [5,6,7,1,2,3,4]=>2 [6,1,2,3,4,5,7]=>2 [6,1,2,3,4,7,5]=>2 [6,1,2,3,7,4,5]=>2 [6,1,2,7,3,4,5]=>2 [6,1,7,5,4,3,2]=>2 [6,2,3,4,5,7,1]=>2 [6,2,4,5,3,1,7]=>2 [6,2,5,4,3,1,7]=>2 [6,3,2,5,4,1,7]=>2 [6,3,4,2,5,1,7]=>2 [6,3,4,5,2,1,7]=>2 [6,3,4,7,1,2,5]=>2 [6,3,5,4,2,1,7]=>2 [6,4,3,2,5,1,7]=>2 [6,4,3,2,7,1,5]=>2 [6,4,3,5,2,1,7]=>2 [6,4,5,7,1,2,3]=>2 [6,4,7,2,5,1,3]=>3 [6,4,7,3,5,1,2]=>2 [6,5,3,4,2,1,7]=>2 [6,5,4,3,2,1,7]=>2 [6,5,7,3,4,1,2]=>2 [6,7,1,2,3,4,5]=>2 [6,7,3,4,1,2,5]=>2 [6,7,4,5,1,2,3]=>2 [7,1,2,3,4,5,6]=>2 [7,2,1,3,4,5,6]=>2 [7,2,3,1,4,5,6]=>2 [7,2,3,4,1,5,6]=>2 [7,2,3,4,5,1,6]=>2 [7,3,1,2,4,5,6]=>2 [7,3,2,1,4,5,6]=>2 [7,3,2,4,1,5,6]=>2 [7,3,4,1,2,5,6]=>2 [7,4,1,2,3,5,6]=>2 [7,4,2,1,3,5,6]=>2 [7,4,5,6,1,2,3]=>2 [7,5,1,2,3,4,6]=>2 [7,5,6,1,2,3,4]=>2 [7,5,6,3,4,1,2]=>2 [7,6,1,2,3,4,5]=>2 [7,6,4,5,1,2,3]=>2 [7,6,5,1,2,3,4]=>2 [7,6,5,3,4,1,2]=>2 [7,6,5,4,1,2,3]=>2 [7,6,5,4,3,1,2]=>2 [7,6,5,4,3,2,1]=>2 [8,7,6,5,4,3,2,1]=>2 [7,6,8,5,4,3,2,1]=>2 [7,8,5,6,4,3,2,1]=>2 [7,8,6,4,5,3,2,1]=>2 [8,6,7,4,5,3,2,1]=>2 [7,6,5,4,8,3,2,1]=>2 [6,5,7,4,8,3,2,1]=>2 [7,8,6,5,3,4,2,1]=>2 [8,6,7,5,3,4,2,1]=>2 [8,7,5,6,3,4,2,1]=>2 [6,7,8,3,4,5,2,1]=>2 [7,8,6,5,4,2,3,1]=>2 [8,6,7,5,4,2,3,1]=>2 [8,7,5,6,4,2,3,1]=>2 [8,7,6,4,5,2,3,1]=>2 [8,6,5,7,3,2,4,1]=>2 [6,7,8,5,2,3,4,1]=>2 [8,5,6,7,2,3,4,1]=>2 [7,8,3,2,4,5,6,1]=>2 [7,6,5,4,3,2,8,1]=>2 [6,5,7,4,3,2,8,1]=>2 [6,5,4,3,7,2,8,1]=>2 [5,4,6,3,7,2,8,1]=>2 [3,4,5,2,6,7,8,1]=>2 [5,2,3,4,6,7,8,1]=>2 [4,3,2,5,6,7,8,1]=>2 [3,4,2,5,6,7,8,1]=>2 [4,2,3,5,6,7,8,1]=>2 [3,2,4,5,6,7,8,1]=>2 [2,3,4,5,6,7,8,1]=>2 [8,7,6,5,4,3,1,2]=>2 [7,8,6,5,4,3,1,2]=>2 [8,6,7,5,4,3,1,2]=>2 [8,7,5,6,4,3,1,2]=>2 [8,7,6,4,5,3,1,2]=>2 [8,7,6,5,3,4,1,2]=>2 [8,7,5,6,3,4,1,2]=>2 [7,8,5,6,3,4,1,2]=>2 [5,6,7,8,3,4,1,2]=>2 [7,8,3,4,5,6,1,2]=>2 [3,4,5,6,7,8,1,2]=>2 [8,7,6,5,4,2,1,3]=>2 [7,6,8,5,4,2,1,3]=>2 [8,7,6,5,4,1,2,3]=>2 [6,7,8,5,4,1,2,3]=>2 [8,5,6,7,4,1,2,3]=>2 [8,7,6,4,5,1,2,3]=>2 [8,6,7,4,5,1,2,3]=>2 [8,7,4,5,6,1,2,3]=>2 [7,8,4,5,6,1,2,3]=>2 [6,7,4,5,8,1,2,3]=>2 [7,6,5,8,3,2,1,4]=>2 [7,5,6,8,2,3,1,4]=>2 [6,7,5,8,3,1,2,4]=>2 [6,5,7,8,2,1,3,4]=>2 [8,7,6,5,1,2,3,4]=>2 [8,7,5,6,1,2,3,4]=>2 [7,8,5,6,1,2,3,4]=>2 [8,5,6,7,1,2,3,4]=>2 [5,6,7,8,1,2,3,4]=>2 [8,7,6,4,3,2,1,5]=>2 [8,7,6,4,2,1,3,5]=>2 [8,7,6,1,2,3,4,5]=>2 [8,6,7,1,2,3,4,5]=>2 [6,7,8,1,2,3,4,5]=>2 [7,8,5,4,2,1,3,6]=>2 [7,8,5,4,1,2,3,6]=>2 [8,7,1,2,3,4,5,6]=>2 [7,8,1,2,3,4,5,6]=>2 [8,6,5,4,3,2,1,7]=>2 [8,6,5,4,3,1,2,7]=>2 [8,5,6,3,4,1,2,7]=>2 [8,6,5,4,2,1,3,7]=>2 [8,6,4,3,2,1,5,7]=>2 [8,6,4,2,1,3,5,7]=>2 [8,2,3,4,1,5,6,7]=>2 [8,4,1,2,3,5,6,7]=>2 [8,3,2,1,4,5,6,7]=>2 [8,2,3,1,4,5,6,7]=>2 [8,3,1,2,4,5,6,7]=>2 [8,2,1,3,4,5,6,7]=>2 [8,1,2,3,4,5,6,7]=>2 [7,6,5,4,3,2,1,8]=>2 [6,7,5,4,3,2,1,8]=>2 [6,5,7,4,3,2,1,8]=>2 [5,6,7,4,3,2,1,8]=>2 [7,6,4,5,3,2,1,8]=>2 [6,5,4,7,3,2,1,8]=>2 [7,5,6,3,4,2,1,8]=>2 [7,6,4,3,5,2,1,8]=>2 [7,6,3,4,5,2,1,8]=>2 [7,5,4,3,6,2,1,8]=>2 [6,7,5,4,2,3,1,8]=>2 [6,5,7,3,2,4,1,8]=>2 [5,6,7,2,3,4,1,8]=>2 [2,3,4,5,6,7,1,8]=>2 [5,6,7,1,2,3,4,8]=>2 [6,7,1,2,3,4,5,8]=>2 [7,1,2,3,4,5,6,8]=>2 [6,5,4,3,2,1,7,8]=>2 [2,3,4,5,6,1,7,8]=>2 [5,6,3,4,1,2,7,8]=>2 [4,5,6,1,2,3,7,8]=>2 [6,1,2,3,4,5,7,8]=>2 [5,4,3,2,1,6,7,8]=>2 [2,3,4,5,1,6,7,8]=>2 [5,1,2,3,4,6,7,8]=>2 [4,3,2,1,5,6,7,8]=>2 [3,4,1,2,5,6,7,8]=>2 [3,2,1,4,5,6,7,8]=>2 [2,1,3,4,5,6,7,8]=>2 [1,2,3,4,5,6,7,8]=>2 [6,5,8,7,4,3,2,1]=>2 [3,5,8,7,6,4,2,1]=>2 [4,3,6,5,8,7,2,1]=>2 [2,6,8,7,5,4,3,1]=>2 [2,3,5,6,8,7,4,1]=>2 [3,2,6,5,4,8,7,1]=>2 [4,3,6,5,7,2,8,1]=>2 [3,2,6,5,7,4,8,1]=>2 [4,3,5,2,7,6,8,1]=>2 [3,2,5,4,7,6,8,1]=>2 [1,8,7,6,5,4,3,2]=>2 [1,7,8,6,5,4,3,2]=>2 [1,6,8,7,5,4,3,2]=>2 [1,7,6,8,5,4,3,2]=>2 [1,6,7,8,5,4,3,2]=>2 [1,5,8,7,6,4,3,2]=>2 [1,7,6,5,8,4,3,2]=>2 [1,3,5,7,8,6,4,2]=>2 [1,4,3,8,7,6,5,2]=>2 [1,6,5,4,3,8,7,2]=>2 [1,4,3,6,5,8,7,2]=>2 [2,1,8,7,6,5,4,3]=>2 [2,1,6,5,7,4,8,3]=>2 [2,1,5,4,7,6,8,3]=>2 [1,2,6,7,8,5,4,3]=>2 [3,2,1,8,7,6,5,4]=>2 [3,2,1,6,5,8,7,4]=>2 [1,2,3,5,6,7,8,4]=>2 [4,3,2,1,8,7,6,5]=>2 [3,4,2,1,7,8,6,5]=>2 [2,4,3,1,6,8,7,5]=>2 [2,4,3,1,7,6,8,5]=>2 [3,2,4,1,6,8,7,5]=>2 [3,2,4,1,7,6,8,5]=>2 [2,3,4,1,6,7,8,5]=>2 [2,1,4,3,8,7,6,5]=>2 [2,1,4,3,6,8,7,5]=>2 [2,1,4,3,7,6,8,5]=>2 [5,4,3,2,1,8,7,6]=>2 [3,2,5,4,1,8,7,6]=>2 [3,2,1,4,5,8,7,6]=>2 [2,3,1,4,5,7,8,6]=>2 [6,5,4,3,2,1,8,7]=>2 [4,3,5,2,6,1,8,7]=>2 [3,2,5,4,6,1,8,7]=>2 [2,3,4,5,6,1,8,7]=>2 [2,1,6,5,4,3,8,7]=>2 [2,1,4,6,5,3,8,7]=>2 [2,1,5,4,6,3,8,7]=>2 [4,3,2,1,6,5,8,7]=>2 [2,4,3,1,6,5,8,7]=>2 [3,2,4,1,6,5,8,7]=>2 [2,1,4,3,6,5,8,7]=>2 [2,1,3,4,5,6,8,7]=>2 [1,2,3,4,5,6,8,7]=>2 [5,7,6,4,3,2,1,8]=>2 [4,7,6,5,3,2,1,8]=>2 [3,2,7,6,5,4,1,8]=>2 [5,4,3,2,7,6,1,8]=>2 [3,2,5,4,7,6,1,8]=>2 [1,4,3,2,7,6,5,8]=>2 [1,3,4,2,6,7,5,8]=>2 [1,3,2,5,4,7,6,8]=>2 [1,2,3,5,4,7,6,8]=>2 [1,3,2,4,5,7,6,8]=>2 [1,2,3,4,5,7,6,8]=>2 [1,2,4,3,6,5,7,8]=>2 [1,3,2,5,4,6,7,8]=>2 [1,2,3,5,4,6,7,8]=>2 [1,3,2,4,5,6,7,8]=>2 [1,8,4,7,6,5,3,2]=>2 [1,8,5,4,7,6,3,2]=>2 [1,8,7,4,5,6,3,2]=>2 [1,8,7,4,6,5,3,2]=>2 [1,8,6,5,4,7,3,2]=>2 [1,8,7,5,4,6,3,2]=>2 [1,8,7,5,6,4,3,2]=>2 [2,1,4,5,8,6,7,3]=>2 [2,1,8,5,4,7,6,3]=>2 [2,3,4,8,5,6,7,1]=>2 [2,3,6,4,5,1,8,7]=>2 [2,3,7,4,5,6,8,1]=>2 [2,8,4,3,5,7,6,1]=>2 [4,2,3,1,8,6,7,5]=>2 [8,2,7,4,6,5,3,1]=>2 [4,3,2,7,5,6,8,1]=>2 [4,3,2,8,5,7,6,1]=>2 [6,3,2,5,4,1,8,7]=>2 [8,3,2,5,4,7,6,1]=>2 [8,3,2,7,6,5,4,1]=>2 [8,3,7,4,6,5,2,1]=>2 [7,3,6,5,4,2,1,8]=>2 [7,4,3,6,5,2,1,8]=>2 [7,6,3,5,4,2,1,8]=>2 [8,5,4,3,2,7,6,1]=>2 [8,7,4,3,6,5,2,1]=>2 [2,4,6,8,1,3,5,7]=>3 [2,4,6,1,7,3,8,5]=>3 [2,1,4,3,7,5,8,6]=>2 [2,4,1,3,7,5,8,6]=>3 [2,1,4,3,7,8,5,6]=>2 [2,4,7,8,1,3,5,6]=>2 [2,1,4,3,8,5,6,7]=>2 [2,4,5,6,7,1,8,3]=>2 [2,1,5,3,6,4,8,7]=>2 [2,1,5,6,3,4,8,7]=>2 [2,5,6,8,1,3,4,7]=>2 [2,1,5,3,7,4,8,6]=>2 [2,5,1,7,3,4,8,6]=>2 [2,1,5,7,3,8,4,6]=>2 [2,5,7,8,1,3,4,6]=>2 [2,3,5,6,1,7,8,4]=>2 [2,1,6,3,7,4,8,5]=>2 [2,6,7,1,3,4,8,5]=>2 [2,1,6,7,8,3,4,5]=>2 [2,6,7,8,1,3,4,5]=>2 [2,1,6,3,4,7,8,5]=>2 [2,1,6,3,4,5,8,7]=>2 [2,6,1,3,4,5,7,8]=>2 [2,7,8,1,3,4,5,6]=>2 [2,7,1,3,4,5,6,8]=>2 [2,3,4,5,7,8,1,6]=>2 [2,1,8,3,4,5,6,7]=>2 [2,8,1,3,4,5,6,7]=>2 [2,1,3,8,4,5,6,7]=>2 [2,3,4,5,6,8,1,7]=>2 [3,1,4,2,6,5,8,7]=>2 [3,4,1,2,6,5,8,7]=>2 [3,1,4,2,6,8,5,7]=>3 [3,4,6,8,1,2,5,7]=>2 [3,1,4,2,7,5,8,6]=>3 [3,4,1,2,7,8,5,6]=>2 [3,4,7,8,1,2,5,6]=>2 [3,1,5,2,6,4,8,7]=>2 [3,5,1,6,2,4,8,7]=>2 [3,1,5,6,2,8,4,7]=>2 [3,5,6,8,1,2,4,7]=>2 [3,1,5,2,7,4,8,6]=>3 [3,5,1,7,2,8,4,6]=>3 [3,5,7,8,1,2,4,6]=>2 [1,3,2,5,4,8,6,7]=>2 [1,3,5,8,2,4,6,7]=>2 [1,3,5,6,2,7,4,8]=>2 [3,1,6,2,7,4,8,5]=>3 [3,6,7,1,2,8,4,5]=>2 [3,6,1,7,8,2,4,5]=>2 [3,6,7,8,1,2,4,5]=>2 [1,3,2,6,4,7,5,8]=>2 [3,1,2,6,7,4,8,5]=>2 [1,3,2,6,4,8,5,7]=>2 [1,3,2,6,4,5,7,8]=>2 [1,3,2,7,4,8,5,6]=>2 [1,3,2,7,4,5,6,8]=>2 [1,3,2,8,4,5,6,7]=>2 [3,1,2,4,5,8,6,7]=>2 [1,3,2,4,5,8,6,7]=>2 [4,1,5,2,6,3,8,7]=>2 [4,5,6,1,2,3,8,7]=>2 [4,1,5,6,8,2,3,7]=>2 [4,5,6,8,1,2,3,7]=>2 [4,1,5,2,7,3,8,6]=>3 [4,1,5,2,7,8,3,6]=>2 [4,5,7,1,2,8,3,6]=>2 [4,5,1,7,8,2,3,6]=>2 [4,5,7,8,1,2,3,6]=>2 [1,4,2,5,3,7,6,8]=>2 [1,4,2,5,3,8,6,7]=>2 [1,4,2,5,3,6,7,8]=>2 [1,4,5,6,7,2,3,8]=>2 [4,1,6,2,7,3,8,5]=>3 [4,6,7,1,8,2,3,5]=>2 [4,6,7,8,1,2,3,5]=>2 [1,4,2,6,3,7,5,8]=>3 [1,4,2,6,7,8,3,5]=>2 [1,4,2,6,3,8,5,7]=>3 [4,1,2,3,6,5,8,7]=>2 [1,4,2,6,3,5,7,8]=>2 [1,4,2,7,3,8,5,6]=>2 [4,7,1,2,3,5,6,8]=>2 [1,4,2,7,3,5,6,8]=>2 [1,4,2,3,7,5,6,8]=>2 [1,4,2,3,5,7,6,8]=>2 [1,4,2,8,3,5,6,7]=>2 [4,1,2,3,8,5,6,7]=>2 [1,4,2,3,5,8,6,7]=>2 [1,4,2,3,5,6,7,8]=>2 [5,1,6,2,7,3,8,4]=>3 [1,5,2,6,3,7,4,8]=>3 [1,5,2,6,3,8,4,7]=>3 [1,5,2,6,3,4,7,8]=>2 [1,2,5,6,3,4,7,8]=>2 [1,5,2,7,3,8,4,6]=>3 [5,7,1,2,3,4,6,8]=>2 [1,5,2,7,3,4,6,8]=>2 [1,5,2,3,4,7,6,8]=>2 [5,1,2,8,3,4,6,7]=>2 [1,5,2,8,3,4,6,7]=>2 [1,5,8,2,3,4,6,7]=>2 [1,5,2,3,4,8,6,7]=>2 [1,2,3,5,4,8,6,7]=>2 [5,1,2,3,4,6,8,7]=>2 [1,5,2,3,4,6,7,8]=>2 [1,6,2,7,3,8,4,5]=>2 [1,6,7,8,2,3,4,5]=>2 [6,7,1,2,3,4,8,5]=>2 [6,1,7,2,3,4,5,8]=>2 [6,1,2,7,3,4,5,8]=>2 [1,6,2,7,3,4,5,8]=>2 [1,6,7,2,3,4,5,8]=>2 [1,6,2,3,4,7,5,8]=>2 [1,2,3,6,4,7,5,8]=>2 [6,1,8,2,3,4,5,7]=>2 [1,6,2,8,3,4,5,7]=>2 [1,6,8,2,3,4,5,7]=>2 [1,6,2,3,4,8,5,7]=>2 [1,2,3,6,4,8,5,7]=>2 [6,1,2,3,4,5,8,7]=>2 [1,6,2,3,4,5,7,8]=>2 [1,2,3,6,4,5,7,8]=>2 [1,7,2,8,3,4,5,6]=>2 [1,7,8,2,3,4,5,6]=>2 [1,7,2,3,8,4,5,6]=>2 [7,1,2,3,4,8,5,6]=>2 [1,7,2,3,4,8,5,6]=>2 [1,2,3,7,4,8,5,6]=>2 [7,1,2,3,4,5,8,6]=>2 [1,7,2,3,4,5,8,6]=>2 [1,2,7,3,4,5,8,6]=>2 [1,7,2,3,4,5,6,8]=>2 [1,2,3,7,4,5,6,8]=>2 [1,8,2,3,4,5,6,7]=>2 [1,2,3,8,4,5,6,7]=>2 [1,2,3,4,5,8,6,7]=>2 [5,3,2,6,1,4,8,7]=>2 [7,3,2,5,4,8,1,6]=>2 [8,4,5,2,3,7,6,1]=>2 [7,4,5,2,3,8,1,6]=>2 [6,4,5,2,3,1,8,7]=>2 [5,4,6,2,1,3,8,7]=>2 [3,6,1,5,4,2,8,7]=>2 [4,6,5,1,3,2,8,7]=>2 [5,6,4,3,1,2,8,7]=>2 [7,5,4,3,2,8,1,6]=>2 [8,6,4,3,7,2,5,1]=>2 [7,6,4,3,8,2,1,5]=>2 [6,7,4,3,8,1,2,5]=>2 [5,7,4,3,1,8,2,6]=>2 [4,7,5,1,3,8,2,6]=>3 [3,7,1,5,4,8,2,6]=>2 [2,1,7,5,4,8,3,6]=>2 [3,8,1,5,4,7,6,2]=>2 [4,8,5,1,3,7,6,2]=>2 [5,8,4,3,1,7,6,2]=>2 [6,8,4,3,7,1,5,2]=>2 [7,8,4,3,6,5,1,2]=>2 [6,8,5,7,3,1,4,2]=>3 [5,8,6,7,1,3,4,2]=>2 [4,8,6,1,7,3,5,2]=>3 [3,8,1,6,7,4,5,2]=>2 [2,1,8,6,7,4,5,3]=>2 [2,1,7,6,8,4,3,5]=>2 [3,7,1,6,8,4,2,5]=>3 [4,7,6,1,8,3,2,5]=>2 [5,7,6,8,1,3,2,4]=>2 [5,4,7,2,1,8,3,6]=>2 [6,4,7,2,8,1,3,5]=>3 [7,4,6,2,8,3,1,5]=>3 [8,4,6,2,7,3,5,1]=>3 [8,3,2,6,7,4,5,1]=>2 [7,3,2,6,8,4,1,5]=>2 [6,3,2,7,8,1,4,5]=>2 [5,3,2,7,1,8,4,6]=>2 [4,3,2,1,7,8,5,6]=>2 [3,4,1,2,8,7,6,5]=>2 [5,3,2,8,1,7,6,4]=>2 [6,3,2,8,7,1,5,4]=>2 [7,3,2,8,6,5,1,4]=>2 [8,4,7,2,6,5,3,1]=>2 [7,4,8,2,6,5,1,3]=>2 [6,4,8,2,7,1,5,3]=>3 [5,4,8,2,1,7,6,3]=>2 [4,5,8,1,2,7,6,3]=>2 [3,5,1,8,2,7,6,4]=>2 [2,1,5,8,3,7,6,4]=>2 [2,1,6,8,7,3,5,4]=>2 [3,6,1,8,7,2,5,4]=>2 [4,6,8,1,7,2,5,3]=>3 [5,6,8,7,1,2,4,3]=>2 [6,5,8,7,2,1,4,3]=>2 [7,5,8,6,2,4,1,3]=>3 [8,5,7,6,2,4,3,1]=>2 [5,7,8,6,1,4,2,3]=>2 [4,7,8,1,6,5,2,3]=>2 [3,7,1,8,6,5,2,4]=>2 [2,1,7,8,6,5,3,4]=>2 [3,8,1,7,6,5,4,2]=>2 [4,8,7,1,6,5,3,2]=>2 [5,8,7,6,1,4,3,2]=>2 [6,8,7,5,4,1,3,2]=>2 [4,2,5,1,3,6,7,8]=>2 [5,2,6,7,1,3,4,8]=>2 [3,2,7,8,1,4,5,6]=>2 [5,3,2,6,1,4,7,8]=>2 [7,4,3,8,1,2,5,6]=>2 [4,7,3,6,8,1,2,5]=>2 [6,7,3,4,8,1,2,5]=>2 [5,4,2,7,8,1,3,6]=>2 [6,4,7,2,5,1,3,8]=>3 [6,4,3,2,7,1,5,8]=>2 [5,4,3,2,8,1,6,7]=>2 [7,5,3,8,2,6,1,4]=>3 [8,5,4,7,2,6,1,3]=>2 [8,5,4,7,3,6,1,2]=>2 [8,1,2,7,6,3,4,5]=>2 [8,1,4,2,6,3,5,7]=>3 [8,3,1,2,4,7,5,6]=>2 [8,3,1,5,6,2,4,7]=>2 [6,3,8,1,2,7,4,5]=>2 [7,8,4,1,6,2,3,5]=>2 [8,3,4,1,6,7,2,5]=>2 [2,7,6,5,1,3,8,4]=>2 [8,3,6,5,1,7,2,4]=>2 [4,6,7,3,8,5,1,2]=>2 [3,5,2,7,1,8,6,4]=>3 [4,6,7,2,8,1,5,3]=>2 [5,6,7,8,2,1,4,3]=>2 [6,5,8,7,3,4,1,2]=>2 [3,6,7,4,5,8,1,2]=>2 [2,6,7,4,5,1,8,3]=>2 [1,6,7,4,5,2,3,8]=>2 [1,5,4,7,6,2,3,8]=>2 [2,5,4,7,6,1,8,3]=>2 [3,5,4,7,6,8,1,2]=>2 [4,5,3,7,8,6,1,2]=>2 [5,4,3,8,7,6,1,2]=>2 [6,4,8,3,7,5,1,2]=>2 [6,3,8,4,5,7,1,2]=>2 [5,3,4,8,6,7,1,2]=>2 [4,3,5,6,8,7,1,2]=>2 [3,2,5,6,1,8,7,4]=>2 [4,2,5,6,8,1,7,3]=>2 [5,2,4,8,6,1,7,3]=>3 [6,2,8,4,5,1,7,3]=>2 [7,8,2,4,5,1,6,3]=>2 [7,8,1,4,5,2,3,6]=>2 [6,1,8,4,5,2,3,7]=>2 [5,1,4,8,6,2,3,7]=>2 [4,1,3,2,8,6,5,7]=>2 [5,1,3,8,2,6,4,7]=>3 [6,1,8,3,2,5,4,7]=>2 [7,8,1,3,2,5,4,6]=>2 [7,8,2,3,1,5,6,4]=>2 [6,2,8,3,1,5,7,4]=>3 [5,2,3,8,1,6,7,4]=>2 [6,3,8,2,1,7,5,4]=>2 [7,8,3,2,1,6,5,4]=>2 [7,8,4,2,6,1,5,3]=>2 [5,4,2,8,7,1,6,3]=>2 [4,5,2,7,8,1,6,3]=>2 [2,5,3,7,1,6,8,4]=>3 [1,5,3,7,2,6,4,8]=>3 [1,6,7,3,2,5,4,8]=>2 [2,6,7,3,1,5,8,4]=>2 [3,6,7,2,1,8,5,4]=>2 [7,8,5,6,2,1,4,3]=>2 [6,5,8,7,1,2,3,4]=>2 [5,4,1,8,7,2,3,6]=>2 [6,4,8,1,7,2,3,5]=>2 [7,8,3,1,2,6,4,5]=>2 [5,3,1,8,2,7,4,6]=>3 [4,3,1,2,8,7,5,6]=>2 [4,2,1,3,8,5,7,6]=>2 [5,2,1,8,3,4,7,6]=>2 [6,2,8,1,3,4,7,5]=>2 [7,8,2,1,3,4,6,5]=>2 [6,3,1,5,2,4,8,7]=>2 [2,1,8,5,3,7,4,6]=>2 [8,2,6,1,4,3,7,5]=>2 [4,7,1,5,8,3,2,6]=>2 [8,6,1,3,4,2,5,7]=>2 [8,1,2,4,5,6,3,7]=>2 [8,2,5,1,3,6,4,7]=>3 [4,1,5,3,7,2,8,6]=>3 [5,2,7,1,3,8,4,6]=>3 [5,3,1,7,8,2,4,6]=>2 [1,7,3,4,2,5,8,6]=>2 [4,7,2,1,3,5,8,6]=>2 [4,5,2,3,7,6,1,8]=>2 [6,4,3,7,2,5,1,8]=>2 [8,4,3,6,5,1,2,7]=>2 [1,5,6,3,4,8,7,2]=>2 [4,6,2,7,3,5,1,8]=>3 [3,2,6,7,4,5,1,8]=>2 [4,7,2,6,5,3,1,8]=>2 [5,7,6,2,4,3,1,8]=>2 [1,7,5,4,8,3,6,2]=>2 [8,7,5,4,1,3,2,6]=>2 [6,8,5,4,2,1,3,7]=>2 [5,8,6,2,4,1,3,7]=>3 [4,8,2,6,5,1,3,7]=>2 [3,2,8,6,5,1,4,7]=>2 [4,1,2,6,5,8,7,3]=>2 [5,1,6,2,4,8,7,3]=>2 [6,1,5,4,2,8,7,3]=>2 [7,1,5,4,8,2,6,3]=>2 [8,1,5,4,7,6,2,3]=>2 [1,8,6,7,4,5,3,2]=>2 [8,1,6,7,4,5,2,3]=>2 [7,1,6,8,4,2,5,3]=>3 [6,1,7,8,2,4,5,3]=>2 [5,1,7,2,8,4,6,3]=>3 [4,1,2,7,8,5,6,3]=>2 [3,2,1,7,8,5,6,4]=>2 [3,2,8,7,1,5,4,6]=>2 [4,8,2,7,1,5,3,6]=>3 [5,8,7,2,1,4,3,6]=>2 [6,8,7,1,2,4,3,5]=>2 [7,8,6,1,4,2,3,5]=>2 [8,7,6,1,4,3,2,5]=>2 [1,7,6,8,4,3,5,2]=>2 [1,6,7,8,3,4,5,2]=>2 [8,6,7,1,3,4,2,5]=>2 [7,6,8,1,3,2,4,5]=>2 [5,7,8,2,1,3,4,6]=>2 [4,7,2,8,1,3,5,6]=>2 [3,2,6,8,4,1,5,7]=>2 [4,6,2,8,3,1,5,7]=>3 [5,6,8,2,3,1,4,7]=>2 [6,5,8,3,2,1,4,7]=>2 [7,5,8,3,1,2,4,6]=>2 [8,5,7,3,1,4,2,6]=>3 [1,5,7,3,8,4,6,2]=>3 [1,4,3,7,8,5,6,2]=>2 [8,4,3,7,1,5,2,6]=>2 [6,4,3,8,2,1,5,7]=>2 [4,5,2,3,8,1,6,7]=>2 [3,2,5,4,8,1,6,7]=>2 [4,5,2,3,1,8,7,6]=>2 [6,4,3,1,2,8,7,5]=>2 [7,4,3,1,8,2,6,5]=>2 [8,4,3,1,7,6,2,5]=>2 [1,5,8,3,7,6,4,2]=>2 [8,5,1,3,7,6,2,4]=>2 [7,5,1,3,8,2,6,4]=>3 [6,5,1,3,2,8,7,4]=>2 [5,6,1,2,3,8,7,4]=>2 [4,6,2,1,3,8,7,5]=>2 [3,2,6,1,4,8,7,5]=>2 [3,2,7,1,8,4,6,5]=>2 [4,7,2,1,8,3,6,5]=>2 [5,7,1,2,8,3,6,4]=>2 [6,7,1,8,2,3,5,4]=>2 [7,6,1,8,3,2,5,4]=>2 [8,6,1,7,3,5,2,4]=>3 [1,6,8,7,3,5,4,2]=>2 [1,7,8,6,5,3,4,2]=>2 [8,7,1,6,5,3,2,4]=>2 [7,8,1,6,5,2,3,4]=>2 [6,8,1,7,2,5,3,4]=>2 [5,8,1,2,7,6,3,4]=>2 [4,8,2,1,7,6,3,5]=>2 [3,2,8,1,7,6,4,5]=>2 [4,1,2,8,7,6,5,3]=>2 [5,1,8,2,7,6,4,3]=>2 [6,1,8,7,2,5,4,3]=>2 [7,1,8,6,5,2,4,3]=>2 [8,1,7,6,5,4,2,3]=>2 [1,4,3,8,7,5,6,2]=>2 [4,1,2,8,7,5,6,3]=>2 [3,2,5,1,6,4,8,7]=>2 [3,2,5,4,7,1,8,6]=>2 [4,2,5,3,7,6,8,1]=>2 [4,2,5,3,7,1,8,6]=>3 [4,2,5,3,6,1,8,7]=>2 [4,2,5,1,6,3,8,7]=>2 [3,1,5,4,6,2,8,7]=>2 [4,1,5,3,6,2,8,7]=>2 [4,3,5,1,6,2,8,7]=>2 [4,3,5,2,7,1,8,6]=>2 [4,3,6,2,7,5,8,1]=>2 [4,3,6,2,7,1,8,5]=>2 [4,3,6,1,7,2,8,5]=>2 [4,3,5,1,7,2,8,6]=>2 [3,1,5,4,7,2,8,6]=>2 [2,1,5,4,7,3,8,6]=>2 [3,1,5,4,7,6,8,2]=>2 [4,1,5,3,7,6,8,2]=>2 [4,3,5,1,7,6,8,2]=>2 [4,3,6,1,7,5,8,2]=>2 [4,3,6,5,7,1,8,2]=>2 [5,3,6,4,7,2,8,1]=>3 [5,3,6,4,7,1,8,2]=>3 [5,3,6,1,7,4,8,2]=>3 [5,1,6,3,7,4,8,2]=>3 [4,1,6,3,7,5,8,2]=>3 [3,1,6,4,7,5,8,2]=>3 [2,1,6,4,7,5,8,3]=>2 [2,1,6,4,7,3,8,5]=>2 [3,1,6,4,7,2,8,5]=>3 [4,1,6,3,7,2,8,5]=>3 [5,1,6,3,7,2,8,4]=>3 [5,3,6,1,7,2,8,4]=>3 [5,3,6,2,7,1,8,4]=>3 [5,3,6,2,7,4,8,1]=>3 [5,2,6,3,7,4,8,1]=>3 [5,2,6,3,7,1,8,4]=>3 [5,2,6,1,7,3,8,4]=>3 [4,2,5,1,7,3,8,6]=>3 [4,2,6,1,7,3,8,5]=>3 [4,2,6,3,7,1,8,5]=>3 [4,2,6,3,7,5,8,1]=>3 [3,2,6,4,7,5,8,1]=>2 [3,2,6,4,7,1,8,5]=>2 [3,2,6,1,7,4,8,5]=>2 [3,2,5,1,7,4,8,6]=>2 [3,2,4,1,7,5,8,6]=>2 [3,1,4,2,7,6,8,5]=>2 [3,2,5,1,7,6,8,4]=>2 [3,2,6,1,7,5,8,4]=>2 [3,2,6,5,7,1,8,4]=>2 [4,2,6,5,7,3,8,1]=>2 [4,2,6,5,7,1,8,3]=>2 [4,2,6,1,7,5,8,3]=>3 [4,2,5,1,7,6,8,3]=>2 [4,1,5,2,7,6,8,3]=>2 [3,1,5,2,7,6,8,4]=>2 [2,1,5,3,7,6,8,4]=>2 [2,1,6,3,7,5,8,4]=>2 [3,1,6,2,7,5,8,4]=>3 [4,1,6,2,7,5,8,3]=>3 [5,1,6,2,7,4,8,3]=>3 [5,2,6,1,7,4,8,3]=>3 [5,2,6,4,7,1,8,3]=>3 [5,2,6,4,7,3,8,1]=>3 [5,4,6,2,7,3,8,1]=>2 [5,4,6,2,7,1,8,3]=>2 [5,4,6,1,7,2,8,3]=>2 [5,1,6,4,7,2,8,3]=>3 [4,1,6,5,7,2,8,3]=>2 [3,1,6,5,7,2,8,4]=>2 [2,1,6,5,7,3,8,4]=>2 [3,1,6,5,7,4,8,2]=>2 [4,1,6,5,7,3,8,2]=>2 [5,1,6,4,7,3,8,2]=>3 [5,4,6,1,7,3,8,2]=>2 [5,4,6,3,7,1,8,2]=>2 [8,3,5,2,1,6,4,7]=>2 [8,6,3,5,2,4,1,7]=>3 [3,7,5,2,4,1,8,6]=>3 [8,3,7,5,2,4,6,1]=>3 [8,2,4,5,7,3,6,1]=>2 [2,4,5,7,3,1,8,6]=>2 [8,2,4,6,5,3,1,7]=>2 [8,2,5,4,6,1,3,7]=>2 [8,6,3,5,1,4,2,7]=>3 [8,6,1,4,5,3,2,7]=>2 [8,1,5,6,4,3,2,7]=>2 [5,7,4,3,2,1,8,6]=>2 [8,5,7,4,3,2,6,1]=>2 [4,6,8,3,2,7,5,1]=>2 [4,7,6,3,2,8,1,5]=>2 [1,4,6,7,3,2,8,5]=>2 [5,4,7,3,1,8,2,6]=>2 [1,7,4,5,3,2,8,6]=>2 [3,7,5,1,4,2,8,6]=>3 [5,7,4,2,1,3,8,6]=>2 [8,5,7,4,2,1,6,3]=>2 [8,3,7,5,1,4,6,2]=>3 [8,4,1,7,5,3,6,2]=>3 [4,6,3,8,7,1,5,2]=>2 [1,7,4,8,6,3,5,2]=>3 [8,4,7,6,3,5,2,1]=>2 [3,6,5,8,7,4,1,2]=>2 [3,1,5,8,6,7,4,2]=>2 [4,8,1,6,7,3,5,2]=>2 [3,6,4,1,8,7,5,2]=>2 [8,2,6,1,4,7,5,3]=>3 [2,7,6,8,1,4,3,5]=>2 [3,7,1,6,4,8,2,5]=>3 [1,7,3,5,6,8,2,4]=>2 [1,3,6,7,5,8,2,4]=>2 [3,7,6,5,8,2,1,4]=>2 [3,6,8,5,7,2,4,1]=>3 [2,3,5,7,6,8,1,4]=>2 [2,1,6,5,7,8,3,4]=>2 [4,2,7,6,8,3,1,5]=>2 [4,2,6,8,7,3,5,1]=>2 [3,8,2,4,6,7,5,1]=>2 [3,7,2,6,4,8,1,5]=>3 [3,2,6,1,4,7,8,5]=>2 [5,3,7,2,1,8,4,6]=>2 [4,7,3,2,1,5,8,6]=>2 [8,7,6,1,3,4,2,5]=>2 [8,5,7,3,2,1,6,4]=>2 [8,3,6,7,2,1,5,4]=>2 [3,7,8,6,2,1,5,4]=>2 [8,7,6,3,5,2,4,1]=>2 [2,7,4,8,1,6,5,3]=>2 [4,6,8,2,1,7,5,3]=>2 [8,4,1,5,7,2,6,3]=>3 [8,5,3,7,1,6,2,4]=>3 [8,5,7,2,1,3,6,4]=>2 [8,2,6,7,1,3,5,4]=>2 [8,3,6,1,7,5,2,4]=>3 [4,6,1,8,7,2,5,3]=>2 [8,1,2,5,6,7,4,3]=>2 [8,2,6,5,7,4,1,3]=>2 [2,1,7,8,5,6,4,3]=>2 [8,2,5,7,6,4,3,1]=>2 [2,7,6,8,5,4,1,3]=>2 [1,7,2,5,8,6,4,3]=>2 [1,7,4,8,2,6,5,3]=>2 [3,7,8,1,6,5,2,4]=>2 [2,7,8,6,1,3,5,4]=>2 [8,7,6,3,5,1,4,2]=>2 [8,4,7,6,5,1,3,2]=>2 [8,7,1,5,6,4,3,2]=>2 [8,1,6,7,5,4,3,2]=>2 [5,4,3,6,1,2,8,7]=>2 [2,7,6,4,5,8,1,3]=>2 [5,7,3,6,1,8,2,4]=>3 [2,1,7,6,5,8,3,4]=>2 [6,4,3,5,8,1,7,2]=>2 [7,3,5,4,8,6,1,2]=>2 [5,4,3,2,7,1,8,6]=>2 [4,3,6,2,8,7,5,1]=>2 [4,3,7,6,2,1,8,5]=>2 [6,4,3,1,7,2,8,5]=>2 [4,3,7,1,8,6,5,2]=>2 [5,3,8,7,6,4,2,1]=>2 [7,5,3,1,8,6,4,2]=>3 [1,8,6,5,3,7,4,2]=>2 [6,1,7,5,3,2,8,4]=>2 [7,6,5,3,2,1,8,4]=>2 [6,5,3,2,8,7,4,1]=>2 [5,2,6,3,8,7,4,1]=>2 [5,2,7,6,3,1,8,4]=>2 [6,5,2,1,7,3,8,4]=>2 [5,2,7,1,8,6,4,3]=>2 [6,2,8,7,5,4,3,1]=>2 [7,6,2,1,8,5,4,3]=>2 [6,1,7,2,8,5,4,3]=>2 [7,1,8,6,5,4,3,2]=>2 [4,5,2,6,3,1,8,7]=>2 [6,5,2,1,4,3,8,7]=>2 [6,5,2,7,4,8,3,1]=>2 [8,5,2,7,4,1,6,3]=>4 [8,3,7,5,2,1,6,4]=>2 [6,3,7,5,2,8,4,1]=>3 [3,1,6,5,4,2,8,7]=>2 [5,6,3,2,4,1,8,7]=>2 [3,6,2,4,1,5,8,7]=>2 [2,6,1,3,5,4,8,7]=>2 [6,7,2,3,4,8,5,1]=>2 [8,7,2,3,4,1,6,5]=>2 [5,1,7,3,8,4,6,2]=>3 [2,5,7,3,8,6,4,1]=>3 [7,6,1,3,5,8,4,2]=>2 [3,6,7,4,1,8,5,2]=>2 [5,6,3,7,4,8,1,2]=>2 [2,1,6,7,4,8,5,3]=>2 [2,1,8,7,4,3,6,5]=>2 [5,8,3,7,4,2,6,1]=>3 [3,8,7,4,1,2,6,5]=>2 [7,8,1,3,5,2,6,4]=>2 [5,8,7,3,2,6,1,4]=>2 [2,8,6,3,1,5,7,4]=>3 [8,1,6,3,2,5,4,7]=>2 [2,8,4,1,6,3,7,5]=>3 [4,8,1,2,7,6,3,5]=>2 [3,8,4,2,5,7,1,6]=>3 [6,8,3,5,2,7,4,1]=>3 [2,1,5,3,8,7,6,4]=>2 [6,5,3,2,8,7,1,4]=>2 [7,5,2,4,8,1,6,3]=>3 [3,4,2,8,5,7,6,1]=>2 [2,4,1,8,7,6,5,3]=>2 [8,4,2,1,7,5,3,6]=>2 [4,3,1,8,6,7,5,2]=>2 [3,1,4,8,6,5,7,2]=>2 [7,1,6,5,4,8,2,3]=>2 [3,7,5,6,8,4,2,1]=>2 [5,7,1,6,8,2,4,3]=>2 [8,6,2,5,1,7,4,3]=>2 [5,6,2,1,8,7,3,4]=>2 [4,6,2,5,8,3,7,1]=>3 [7,5,2,6,3,8,1,4]=>3 [4,1,2,3,6,8,7,5]=>2 [2,4,3,1,8,5,6,7]=>2 [7,5,2,8,3,4,6,1]=>2 [5,6,2,8,4,3,1,7]=>2 [4,7,2,8,1,5,3,6]=>3 [8,7,2,1,4,5,6,3]=>2 [3,6,8,7,1,5,4,2]=>2 [5,7,8,6,3,4,1,2]=>2 [7,1,8,5,4,3,6,2]=>2 [2,7,8,4,5,3,6,1]=>2 [5,7,3,8,1,4,6,2]=>3 [2,1,7,8,5,4,6,3]=>2 [2,1,5,8,4,6,3,7]=>2 [6,5,3,8,4,1,2,7]=>2 [7,5,8,4,3,6,2,1]=>2 [2,4,8,3,5,6,1,7]=>2 [4,1,8,3,6,5,2,7]=>2 [3,4,8,1,7,2,5,6]=>2 [8,4,1,3,7,2,6,5]=>2 [3,1,8,2,4,7,6,5]=>2 [2,3,8,1,4,6,7,5]=>2 [4,3,8,2,5,1,7,6]=>2 [6,3,8,4,2,5,7,1]=>3 [7,4,3,8,2,5,1,6]=>2 [2,1,4,8,3,5,7,6]=>2 [6,8,2,4,3,5,1,7]=>2 [4,8,2,3,5,1,6,7]=>2 [3,8,2,1,4,6,5,7]=>2 [2,8,1,3,4,5,7,6]=>2 [7,1,6,8,4,3,2,5]=>2 [7,1,6,5,8,3,2,4]=>2 [3,7,6,1,4,8,2,5]=>2 [2,7,8,4,1,6,5,3]=>2 [3,6,4,5,7,2,8,1]=>2 [1,8,2,7,3,4,5,6]=>2 [3,2,1,5,8,4,6,7]=>2 [5,4,3,2,1,8,6,7]=>2 [1,8,2,4,3,5,6,7]=>2 [1,7,2,4,3,5,6,8]=>2 [1,6,2,4,3,5,7,8]=>2 [1,5,2,4,3,6,7,8]=>2 [1,6,2,5,3,4,7,8]=>2 [1,7,2,5,3,4,6,8]=>2 [1,8,2,5,3,4,6,7]=>2 [1,8,2,6,3,4,5,7]=>2 [1,7,2,6,3,4,5,8]=>2 [1,8,2,7,3,5,4,6]=>2 [1,7,2,8,3,5,4,6]=>2 [1,6,2,8,3,5,4,7]=>2 [1,5,2,8,3,6,4,7]=>3 [1,4,2,8,3,6,5,7]=>2 [1,3,2,8,4,6,5,7]=>2 [1,2,3,8,4,6,5,7]=>2 [1,2,3,7,4,6,5,8]=>2 [1,3,2,7,4,6,5,8]=>2 [1,4,2,7,3,6,5,8]=>2 [1,5,2,7,3,6,4,8]=>3 [1,6,2,7,3,5,4,8]=>2 [1,7,2,6,3,5,4,8]=>2 [1,8,2,6,3,5,4,7]=>2 [1,8,2,5,3,6,4,7]=>3 [1,7,2,5,3,6,4,8]=>3 [1,6,2,5,3,7,4,8]=>3 [1,5,2,4,3,7,6,8]=>2 [1,6,2,4,3,7,5,8]=>2 [1,7,2,4,3,6,5,8]=>2 [1,8,2,4,3,6,5,7]=>2 [1,8,2,3,4,6,5,7]=>2 [1,7,2,3,4,6,5,8]=>2 [1,8,2,3,4,7,5,6]=>2 [1,8,2,4,3,7,5,6]=>2 [1,7,2,4,3,8,5,6]=>2 [1,6,2,4,3,8,5,7]=>2 [1,5,2,4,3,8,6,7]=>2 [1,6,2,5,3,8,4,7]=>3 [1,7,2,5,3,8,4,6]=>3 [1,8,2,5,3,7,4,6]=>3 [1,8,2,6,3,7,4,5]=>2 [1,7,2,6,3,8,4,5]=>2 [1,2,3,8,4,7,5,6]=>2 [1,3,2,8,4,7,5,6]=>2 [1,4,2,8,3,7,5,6]=>2 [1,5,2,8,3,7,4,6]=>3 [1,6,2,8,3,7,4,5]=>2 [1,7,2,8,3,6,4,5]=>2 [1,8,2,7,3,6,4,5]=>2 [6,7,8,1,4,3,2,5]=>2 [2,8,4,1,6,7,5,3]=>2 [4,8,5,7,1,6,2,3]=>2 [8,7,6,5,2,1,4,3]=>2 [8,3,1,5,4,7,2,6]=>2 [8,7,6,5,1,4,2,3]=>2 [7,5,1,3,8,4,2,6]=>3 [7,6,1,4,8,3,2,5]=>2 [7,1,3,5,8,2,4,6]=>3 [7,5,3,6,4,2,8,1]=>3 [8,2,6,3,4,7,5,1]=>2 [7,2,6,3,5,4,8,1]=>2 [6,2,7,4,3,5,8,1]=>2 [3,7,6,4,5,2,8,1]=>2 [2,7,6,5,3,4,8,1]=>2 [8,6,5,4,2,7,3,1]=>2 [6,5,8,4,2,7,3,1]=>2 [1,8,6,3,7,5,2,4]=>3 [8,7,5,2,6,4,3,1]=>2 [8,7,1,6,2,5,4,3]=>2 [1,7,2,8,5,3,4,6]=>2 [7,6,1,8,4,3,2,5]=>2 [8,6,1,7,4,2,5,3]=>3 [8,1,2,7,3,4,6,5]=>2 [7,1,2,8,3,5,4,6]=>2 [8,2,6,1,7,3,5,4]=>2 [4,7,5,6,8,3,2,1]=>2 [8,6,4,7,5,3,2,1]=>2 [5,4,8,1,7,2,6,3]=>2 [2,3,8,7,4,5,6,1]=>2 [7,2,8,6,4,3,5,1]=>2 [8,2,7,6,3,5,4,1]=>2 [8,1,7,6,5,2,4,3]=>2 [7,1,8,6,5,3,2,4]=>2 [1,2,8,7,6,3,4,5]=>2 [3,8,7,6,4,5,2,1]=>2 [2,8,7,6,5,3,4,1]=>2 [1,8,7,6,5,4,2,3]=>2 [3,8,6,7,1,5,2,4]=>2 [5,4,7,1,3,8,2,6]=>2 [5,6,2,1,4,8,3,7]=>2 [2,1,8,4,7,5,6,3]=>2 [4,1,3,2,8,5,6,7]=>2 [3,2,1,4,8,5,6,7]=>2 [1,8,4,2,5,3,6,7]=>2 [8,1,5,3,2,4,6,7]=>2 [3,8,1,5,2,4,6,7]=>2 [1,6,7,2,8,4,3,5]=>2 [6,7,1,4,2,8,3,5]=>2 [6,3,7,1,4,8,2,5]=>3 [3,7,8,1,5,2,4,6]=>2 [7,1,2,8,5,3,4,6]=>2 [1,7,2,8,4,5,3,6]=>2 [1,2,7,5,8,3,4,6]=>2 [2,8,1,7,4,3,6,5]=>2 [4,2,6,5,8,3,7,1]=>2 [5,2,4,7,3,6,8,1]=>3 [5,1,2,4,8,3,6,7]=>2 [4,3,6,1,5,8,2,7]=>2 [2,6,1,4,5,8,3,7]=>2 [2,5,3,4,1,8,6,7]=>2 [4,3,5,2,1,8,6,7]=>2 [3,1,6,7,5,8,2,4]=>2 [2,8,1,7,5,6,3,4]=>2 [5,3,6,8,4,7,2,1]=>2 [3,7,2,5,4,8,6,1]=>2 [8,4,2,5,7,3,6,1]=>3 [4,7,2,5,8,3,6,1]=>4 [5,2,6,8,4,3,7,1]=>2 [3,1,6,5,4,8,2,7]=>2 [4,1,6,5,8,3,2,7]=>2 [5,1,6,8,4,3,2,7]=>2 [8,5,4,7,6,3,2,1]=>2 [5,7,1,8,4,3,2,6]=>2 [2,7,1,5,4,3,8,6]=>2 [8,2,1,5,4,3,7,6]=>2 [8,4,1,5,7,3,2,6]=>2 [8,5,6,7,1,3,2,4]=>2 [8,4,6,1,7,3,2,5]=>2 [8,3,6,1,4,7,2,5]=>4 [2,7,6,1,4,3,8,5]=>2 [6,7,8,5,1,3,2,4]=>2 [5,7,6,8,2,3,4,1]=>2 [5,7,2,8,4,3,6,1]=>2 [6,7,8,2,4,3,5,1]=>2 [4,7,6,2,8,3,5,1]=>2 [8,3,6,2,4,7,5,1]=>3 [3,7,6,2,4,8,5,1]=>2 [5,7,3,8,4,6,2,1]=>2 [4,7,3,5,8,6,2,1]=>2 [8,7,2,1,4,3,6,5]=>2 [8,7,3,1,4,6,2,5]=>2 [8,7,6,3,2,5,4,1]=>2 [8,7,3,5,1,6,2,4]=>2 [8,7,2,5,1,3,6,4]=>2 [8,2,6,5,1,3,7,4]=>2 [8,4,6,5,7,1,2,3]=>2 [5,7,6,8,4,1,2,3]=>2 [4,7,6,5,8,1,2,3]=>2 [3,7,6,5,1,8,2,4]=>2 [2,6,5,7,3,4,8,1]=>2 [1,6,4,7,5,8,2,3]=>2 [8,5,3,6,2,7,4,1]=>3 [1,3,7,4,6,8,2,5]=>3 [4,7,5,6,3,2,8,1]=>2 [1,7,6,5,4,8,2,3]=>2 [8,1,6,5,7,2,4,3]=>2 [1,2,7,6,8,3,4,5]=>2 [6,1,7,5,3,8,2,4]=>3 [2,1,7,5,6,8,3,4]=>2 [5,4,1,7,6,8,2,3]=>2 [4,8,5,6,2,7,3,1]=>2 [3,8,6,4,2,7,5,1]=>3 [7,8,5,2,4,6,3,1]=>2 [2,8,6,3,7,4,5,1]=>2 [7,8,1,6,2,4,5,3]=>2 [6,8,1,4,7,2,5,3]=>3 [3,8,4,1,7,2,6,5]=>2 [5,4,7,1,8,3,2,6]=>2 [3,7,4,1,8,5,2,6]=>3 [6,7,1,4,8,3,2,5]=>2 [2,7,1,8,4,5,3,6]=>2 [6,1,2,8,4,3,5,7]=>2 [6,5,1,4,3,8,2,7]=>2 [1,6,2,5,8,3,4,7]=>2 [8,5,1,3,7,2,6,4]=>3 [8,4,2,1,7,3,6,5]=>2 [7,4,2,1,8,5,3,6]=>2 [1,5,4,2,8,3,6,7]=>2 [6,4,3,1,5,8,2,7]=>2 [3,7,6,8,4,5,2,1]=>2 [2,7,6,8,5,3,4,1]=>2 [1,7,6,8,5,4,2,3]=>2 [1,4,8,6,7,5,2,3]=>2 [2,4,8,6,7,3,5,1]=>2 [7,3,8,5,4,6,2,1]=>2 [3,4,8,5,6,7,2,1]=>2 [6,3,5,8,4,7,2,1]=>2 [5,4,3,8,6,7,2,1]=>2 [5,4,2,8,7,3,6,1]=>2 [6,2,5,8,7,3,4,1]=>2 [3,2,8,5,7,4,6,1]=>2 [1,3,8,7,5,6,2,4]=>2 [2,1,8,7,4,6,3,5]=>2 [3,1,8,5,7,6,2,4]=>2 [6,1,5,8,7,4,2,3]=>2 [5,4,1,8,7,6,2,3]=>2 [5,8,6,7,4,3,2,1]=>2 [4,8,7,5,6,3,2,1]=>2 [2,8,3,1,5,4,6,7]=>2 [2,5,3,4,7,1,8,6]=>2 [2,4,8,3,5,7,6,1]=>2 [4,2,5,3,1,8,6,7]=>2 [4,2,1,8,5,3,6,7]=>2 [5,4,1,3,8,2,6,7]=>2 [5,1,4,8,3,2,6,7]=>2 [1,5,8,4,3,2,6,7]=>2 [1,8,5,4,3,2,6,7]=>2 [1,7,4,3,8,5,2,6]=>2 [1,5,7,3,8,4,2,6]=>3 [5,1,4,7,8,3,2,6]=>2 [4,8,1,5,7,3,6,2]=>3 [8,1,5,3,7,4,6,2]=>3 [3,8,4,7,6,5,2,1]=>2 [1,6,8,5,3,7,4,2]=>3 [6,8,1,7,4,3,5,2]=>2 [6,4,8,1,7,3,5,2]=>3 [6,4,8,7,1,5,2,3]=>2 [7,6,4,1,3,8,2,5]=>2 [1,7,5,6,3,2,8,4]=>2 [4,2,1,7,8,5,3,6]=>2 [2,7,4,6,3,1,8,5]=>3 [2,6,8,4,3,7,5,1]=>2 [6,2,4,8,3,7,5,1]=>3 [7,2,6,3,4,1,8,5]=>2 [2,6,7,3,1,4,8,5]=>2 [2,7,1,8,3,5,4,6]=>2 [2,1,7,3,5,8,4,6]=>2 [8,7,1,3,6,2,4,5]=>2 [8,2,1,7,3,5,6,4]=>2 [7,8,2,6,3,1,5,4]=>2 [8,7,2,6,3,5,4,1]=>2 [1,2,8,7,4,5,6,3]=>2 [8,3,7,1,5,6,2,4]=>2 [8,6,1,2,7,5,3,4]=>2 [8,1,6,2,7,4,5,3]=>2 [1,8,5,2,6,7,4,3]=>2 [5,2,1,8,6,7,4,3]=>2 [2,8,5,7,6,4,3,1]=>2 [1,7,8,5,2,6,4,3]=>2 [7,8,1,6,4,2,5,3]=>2 [7,8,6,1,5,3,2,4]=>2 [7,3,8,6,1,5,2,4]=>3 [8,7,6,1,5,3,4,2]=>2 [8,7,1,6,4,5,3,2]=>2 [8,1,7,5,6,4,3,2]=>2 [1,8,6,7,5,4,3,2]=>2 [9,1,2,3,4,5,6,7,8]=>2 [8,1,2,3,4,5,6,9,7]=>2 [2,9,1,3,4,5,6,7,8]=>2 [9,3,1,2,4,5,6,7,8]=>2 [8,9,1,2,3,4,5,6,7]=>2 [9,7,8,1,2,3,4,5,6]=>2 [2,3,4,5,6,7,9,1,8]=>2 [2,3,4,5,6,7,8,9,1]=>2 [2,3,4,5,6,7,8,1,9]=>2 [2,3,4,5,6,7,1,8,9]=>2 [1,2,3,4,5,6,7,9,8]=>2 [2,1,3,4,5,6,7,8,9]=>2 [1,8,2,3,4,5,6,9,7]=>2 [7,1,2,3,4,5,6,9,8]=>2 [2,1,9,3,4,5,6,7,8]=>2 [2,8,1,3,4,5,6,7,9]=>2 [1,2,3,4,5,6,7,8,9]=>2 [3,2,4,5,6,7,8,9,1]=>2 [9,8,7,6,5,4,3,2,1]=>2 [8,7,6,5,4,3,2,1,9]=>2 [1,9,8,7,6,5,4,3,2]=>2 [8,7,6,4,5,3,2,1,9]=>2 [1,9,8,7,5,6,4,3,2]=>2 [8,7,5,4,6,3,2,1,9]=>2 [8,7,4,6,5,3,2,1,9]=>2 [1,9,8,6,5,7,4,3,2]=>2 [1,9,8,5,7,6,4,3,2]=>2 [9,2,1,3,4,5,6,7,8]=>2 [9,2,3,1,4,5,6,7,8]=>2 [4,2,3,5,6,7,8,9,1]=>2 [3,4,2,5,6,7,8,9,1]=>2 [9,8,1,2,3,4,5,6,7]=>2 [7,8,9,1,2,3,4,5,6]=>2 [9,8,7,1,2,3,4,5,6]=>2 [6,7,8,9,1,2,3,4,5]=>2 [9,6,7,8,1,2,3,4,5]=>2 [8,9,6,7,1,2,3,4,5]=>2 [9,8,6,7,1,2,3,4,5]=>2 [9,8,7,6,1,2,3,4,5]=>2 [9,5,6,7,8,1,2,3,4]=>2 [8,9,5,6,7,1,2,3,4]=>2 [9,8,5,6,7,1,2,3,4]=>2 [9,7,8,5,6,1,2,3,4]=>2 [9,8,7,5,6,1,2,3,4]=>2 [9,8,7,6,5,1,2,3,4]=>2 [7,8,9,4,5,6,1,2,3]=>2 [9,7,8,4,5,6,1,2,3]=>2 [9,8,7,4,5,6,1,2,3]=>2 [8,9,6,7,4,5,1,2,3]=>2 [9,8,6,7,4,5,1,2,3]=>2 [9,8,7,6,4,5,1,2,3]=>2 [9,8,7,6,5,4,1,2,3]=>2 [9,7,8,5,6,3,4,1,2]=>2 [9,8,7,5,6,3,4,1,2]=>2 [9,8,7,6,5,3,4,1,2]=>2 [9,8,7,6,5,4,3,1,2]=>2 [7,8,6,5,4,3,2,1,9]=>2 [1,8,9,7,6,5,4,3,2]=>2 [7,6,8,5,4,3,2,1,9]=>2 [6,8,7,5,4,3,2,1,9]=>2 [1,8,7,9,6,5,4,3,2]=>2 [1,7,9,8,6,5,4,3,2]=>2 [8,1,2,3,4,5,6,7,9]=>2 [1,9,2,3,4,5,6,7,8]=>2 [7,8,1,2,3,4,5,6,9]=>2 [1,8,9,2,3,4,5,6,7]=>2 [7,1,8,2,3,4,5,6,9]=>2 [6,8,1,2,3,4,5,7,9]=>2 [1,8,2,9,3,4,5,6,7]=>2 [1,7,9,2,3,4,5,6,8]=>2 [7,1,2,3,4,5,6,8,9]=>2 [3,4,1,2,5,6,7,8,9]=>2 [3,2,1,4,5,6,7,8,9]=>2 [4,5,6,1,2,3,7,8,9]=>2 [4,2,5,1,3,6,7,8,9]=>2 [4,3,2,1,5,6,7,8,9]=>2 [5,6,7,8,1,2,3,4,9]=>2 [5,2,6,7,1,3,4,8,9]=>2 [5,6,3,4,1,2,7,8,9]=>2 [5,3,2,6,1,4,7,8,9]=>2 [5,4,3,2,1,6,7,8,9]=>2 [6,2,7,8,9,1,3,4,5]=>2 [6,7,3,4,8,1,2,5,9]=>2 [6,3,2,7,8,1,4,5,9]=>2 [6,4,7,2,5,1,3,8,9]=>2 [6,4,3,2,7,1,5,8,9]=>2 [6,5,4,3,2,1,7,8,9]=>2 [7,4,8,2,5,9,1,3,6]=>3 [7,4,3,2,8,9,1,5,6]=>2 [7,8,5,6,3,4,1,2,9]=>2 [7,5,3,8,2,6,1,4,9]=>3 [7,5,4,3,2,8,1,6,9]=>2 [7,6,5,4,3,2,1,8,9]=>2 [8,6,9,4,7,2,5,1,3]=>3 [8,6,4,3,9,2,7,1,5]=>2 [8,6,5,4,3,2,9,1,7]=>2 [2,1,4,3,6,5,8,7,10,9]=>2 [4,3,2,1,6,5,8,7,10,9]=>2 [6,3,2,5,4,1,8,7,10,9]=>2 [8,3,2,5,4,7,6,1,10,9]=>2 [10,3,2,5,4,7,6,9,8,1]=>2 [2,1,6,5,4,3,8,7,10,9]=>2 [6,5,4,3,2,1,8,7,10,9]=>2 [8,5,4,3,2,7,6,1,10,9]=>2 [10,5,4,3,2,7,6,9,8,1]=>2 [2,1,8,5,4,7,6,3,10,9]=>2 [8,7,4,3,6,5,2,1,10,9]=>2 [10,7,4,3,6,5,2,9,8,1]=>2 [2,1,10,5,4,7,6,9,8,3]=>2 [10,9,4,3,6,5,8,7,2,1]=>2 [8,9,5,6,3,4,10,1,2,7]=>2 [2,1,4,3,8,7,6,5,10,9]=>2 [4,3,2,1,8,7,6,5,10,9]=>2 [8,3,2,7,6,5,4,1,10,9]=>2 [10,3,2,7,6,5,4,9,8,1]=>2 [2,1,8,7,6,5,4,3,10,9]=>2 [8,7,6,5,4,3,2,1,10,9]=>2 [9,7,6,5,4,3,2,10,1,8]=>2 [10,7,6,5,4,3,2,9,8,1]=>2 [2,1,10,7,6,5,4,9,8,3]=>2 [10,9,6,5,4,3,8,7,2,1]=>2 [2,1,4,3,10,7,6,9,8,5]=>2 [4,3,2,1,10,7,6,9,8,5]=>2 [10,3,2,9,6,5,8,7,4,1]=>2 [2,1,10,9,6,5,8,7,4,3]=>2 [10,9,8,5,4,7,6,3,2,1]=>2 [6,7,8,9,10,1,2,3,4,5]=>2 [7,3,2,8,9,10,1,4,5,6]=>2 [8,5,4,3,2,9,10,1,6,7]=>2 [2,1,4,3,6,5,10,9,8,7]=>2 [4,3,2,1,6,5,10,9,8,7]=>2 [6,3,2,5,4,1,10,9,8,7]=>2 [10,3,2,5,4,9,8,7,6,1]=>2 [2,1,6,5,4,3,10,9,8,7]=>2 [6,5,4,3,2,1,10,9,8,7]=>2 [10,5,4,3,2,9,8,7,6,1]=>2 [2,1,10,5,4,9,8,7,6,3]=>2 [10,9,4,3,8,7,6,5,2,1]=>2 [9,7,5,10,3,8,2,6,1,4]=>3 [2,1,4,3,10,9,8,7,6,5]=>2 [4,3,2,1,10,9,8,7,6,5]=>2 [10,3,2,9,8,7,6,5,4,1]=>2 [2,1,10,9,8,7,6,5,4,3]=>2 [10,9,8,7,6,5,4,3,2,1]=>2 [2,3,4,5,6,7,8,9,10,1]=>2 [2,3,4,5,6,7,8,9,1,10]=>2 [10,8,9,5,6,7,1,2,3,4]=>2 [10,8,9,4,5,6,1,2,3,7]=>2 [10,7,8,5,6,9,1,2,3,4]=>2 [10,7,8,4,5,9,1,2,3,6]=>2 [10,6,7,4,5,8,1,2,3,9]=>2 [10,7,8,3,4,9,1,2,5,6]=>2 [10,6,7,3,4,8,1,2,5,9]=>2 [9,8,10,5,6,7,1,2,3,4]=>2 [9,8,10,4,5,6,1,2,3,7]=>2 [9,7,10,5,6,8,1,2,3,4]=>2 [9,7,10,4,5,8,1,2,3,6]=>2 [9,6,10,4,5,7,1,2,3,8]=>2 [9,7,10,3,4,8,1,2,5,6]=>2 [9,6,10,3,4,7,1,2,5,8]=>2 [8,7,9,5,6,10,1,2,3,4]=>2 [8,7,9,4,5,10,1,2,3,6]=>2 [8,6,9,4,5,10,1,2,3,7]=>2 [7,6,8,4,5,9,1,2,3,10]=>2 [8,7,9,3,4,10,1,2,5,6]=>2 [8,6,9,3,4,10,1,2,5,7]=>2 [7,6,8,3,4,9,1,2,5,10]=>2 [9,6,10,5,7,8,1,2,3,4]=>2 [9,6,10,4,7,8,1,2,3,5]=>2 [9,5,10,4,6,7,1,2,3,8]=>2 [9,6,10,3,7,8,1,2,4,5]=>2 [9,5,10,3,6,7,1,2,4,8]=>2 [8,6,9,5,7,10,1,2,3,4]=>2 [8,6,9,4,7,10,1,2,3,5]=>2 [8,5,9,4,6,10,1,2,3,7]=>2 [7,5,8,4,6,9,1,2,3,10]=>2 [8,6,9,3,7,10,1,2,4,5]=>2 [8,5,9,3,6,10,1,2,4,7]=>2 [7,5,8,3,6,9,1,2,4,10]=>2 [8,4,9,3,5,10,1,2,6,7]=>2 [7,4,8,3,5,9,1,2,6,10]=>2 [9,6,10,2,7,8,1,3,4,5]=>2 [9,5,10,2,6,7,1,3,4,8]=>2 [8,6,9,2,7,10,1,3,4,5]=>2 [8,5,9,2,6,10,1,3,4,7]=>2 [7,5,8,2,6,9,1,3,4,10]=>2 [8,4,9,2,5,10,1,3,6,7]=>2 [7,4,8,2,5,9,1,3,6,10]=>3 [1,2,3,4,5,6,7,8,10,9]=>2 [2,1,3,4,5,6,7,8,9,10]=>2 [9,1,2,3,4,5,6,7,10,8]=>2 [2,10,1,3,4,5,6,7,8,9]=>2 [1,2,3,4,5,6,7,8,9,10]=>2 [9,8,7,6,5,4,3,2,1,10]=>2 [10,1,2,3,4,5,6,7,8,9]=>2 [10,9,1,2,3,4,5,6,7,8]=>2 [1,10,9,8,7,6,5,4,3,2]=>2 [9,8,7,5,6,4,3,2,1,10]=>2 [1,10,9,8,6,7,5,4,3,2]=>2 [10,2,1,3,4,5,6,7,8,9]=>2 [3,2,4,5,6,7,8,9,10,1]=>2 [2,4,6,8,10,1,3,5,7,9]=>3 [2,4,6,9,10,1,3,5,7,8]=>2 [2,4,7,8,10,1,3,5,6,9]=>2 [2,4,7,9,10,1,3,5,6,8]=>2 [2,4,8,9,10,1,3,5,6,7]=>2 [2,5,6,8,10,1,3,4,7,9]=>2 [2,5,6,9,10,1,3,4,7,8]=>2 [2,5,7,8,10,1,3,4,6,9]=>2 [2,5,7,9,10,1,3,4,6,8]=>2 [2,5,8,9,10,1,3,4,6,7]=>2 [2,6,7,8,10,1,3,4,5,9]=>2 [2,6,7,9,10,1,3,4,5,8]=>2 [2,6,8,9,10,1,3,4,5,7]=>2 [2,7,8,9,10,1,3,4,5,6]=>2 [3,4,6,8,10,1,2,5,7,9]=>2 [3,4,6,9,10,1,2,5,7,8]=>2 [3,4,7,8,10,1,2,5,6,9]=>2 [3,4,7,9,10,1,2,5,6,8]=>2 [3,4,8,9,10,1,2,5,6,7]=>2 [3,5,6,8,10,1,2,4,7,9]=>2 [3,5,6,9,10,1,2,4,7,8]=>2 [3,5,7,8,10,1,2,4,6,9]=>2 [3,5,7,9,10,1,2,4,6,8]=>2 [3,5,8,9,10,1,2,4,6,7]=>2 [3,6,7,8,10,1,2,4,5,9]=>2 [3,6,7,9,10,1,2,4,5,8]=>2 [3,6,8,9,10,1,2,4,5,7]=>2 [3,7,8,9,10,1,2,4,5,6]=>2 [4,5,6,8,10,1,2,3,7,9]=>2 [4,5,6,9,10,1,2,3,7,8]=>2 [4,5,7,8,10,1,2,3,6,9]=>2 [4,5,7,9,10,1,2,3,6,8]=>2 [4,5,8,9,10,1,2,3,6,7]=>2 [4,6,7,8,10,1,2,3,5,9]=>2 [4,6,7,9,10,1,2,3,5,8]=>2 [4,6,8,9,10,1,2,3,5,7]=>2 [4,7,8,9,10,1,2,3,5,6]=>2 [5,6,7,8,10,1,2,3,4,9]=>2 [5,6,7,9,10,1,2,3,4,8]=>2 [5,6,8,9,10,1,2,3,4,7]=>2 [5,7,8,9,10,1,2,3,4,6]=>2 [9,10,1,2,3,4,5,6,7,8]=>2 [8,9,10,1,2,3,4,5,6,7]=>2 [10,8,9,1,2,3,4,5,6,7]=>2 [10,9,8,1,2,3,4,5,6,7]=>2 [7,8,9,10,1,2,3,4,5,6]=>2 [10,7,8,9,1,2,3,4,5,6]=>2 [9,10,7,8,1,2,3,4,5,6]=>2 [10,9,7,8,1,2,3,4,5,6]=>2 [10,9,8,7,1,2,3,4,5,6]=>2 [10,6,7,8,9,1,2,3,4,5]=>2 [9,10,6,7,8,1,2,3,4,5]=>2 [10,9,6,7,8,1,2,3,4,5]=>2 [10,8,9,6,7,1,2,3,4,5]=>2 [10,9,8,6,7,1,2,3,4,5]=>2 [10,9,8,7,6,1,2,3,4,5]=>2 [9,10,5,6,7,8,1,2,3,4]=>2 [10,9,5,6,7,8,1,2,3,4]=>2 [8,9,10,5,6,7,1,2,3,4]=>2 [10,9,8,5,6,7,1,2,3,4]=>2 [9,10,7,8,5,6,1,2,3,4]=>2 [10,9,7,8,5,6,1,2,3,4]=>2 [10,9,8,7,5,6,1,2,3,4]=>2 [10,9,8,7,6,5,1,2,3,4]=>2 [10,7,8,9,4,5,6,1,2,3]=>2 [9,10,7,8,4,5,6,1,2,3]=>2 [10,9,7,8,4,5,6,1,2,3]=>2 [10,9,8,7,4,5,6,1,2,3]=>2 [10,8,9,6,7,4,5,1,2,3]=>2 [10,9,8,6,7,4,5,1,2,3]=>2 [10,9,8,7,6,4,5,1,2,3]=>2 [10,9,8,7,6,5,4,1,2,3]=>2 [9,10,7,8,5,6,3,4,1,2]=>2 [10,9,7,8,5,6,3,4,1,2]=>2 [10,9,8,7,5,6,3,4,1,2]=>2 [10,9,8,7,6,5,3,4,1,2]=>2 [10,9,8,7,6,5,4,3,1,2]=>2 [8,9,7,6,5,4,3,2,1,10]=>2 [1,9,10,8,7,6,5,4,3,2]=>2 [9,1,2,3,4,5,6,7,8,10]=>2 [1,10,2,3,4,5,6,7,8,9]=>2 [8,9,1,2,3,4,5,6,7,10]=>2 [1,9,10,2,3,4,5,6,7,8]=>2 [3,4,1,2,5,6,7,8,9,10]=>2 [3,2,1,4,5,6,7,8,9,10]=>2 [4,5,6,1,2,3,7,8,9,10]=>2 [4,2,5,1,3,6,7,8,9,10]=>2 [4,3,2,1,5,6,7,8,9,10]=>2 [5,6,7,8,1,2,3,4,9,10]=>2 [5,2,6,7,1,3,4,8,9,10]=>2 [5,6,3,4,1,2,7,8,9,10]=>2 [5,3,2,6,1,4,7,8,9,10]=>2 [5,4,3,2,1,6,7,8,9,10]=>2 [6,2,7,8,9,1,3,4,5,10]=>2 [6,7,3,4,8,1,2,5,9,10]=>2 [6,3,2,7,8,1,4,5,9,10]=>2 [6,4,7,2,5,1,3,8,9,10]=>2 [6,4,3,2,7,1,5,8,9,10]=>2 [6,5,4,3,2,1,7,8,9,10]=>2 [7,8,3,4,9,10,1,2,5,6]=>2 [7,8,9,4,5,6,1,2,3,10]=>2 [7,4,3,2,8,9,1,5,6,10]=>2 [7,8,5,6,3,4,1,2,9,10]=>2 [7,5,3,8,2,6,1,4,9,10]=>2 [7,5,4,3,2,8,1,6,9,10]=>2 [7,6,5,4,3,2,1,8,9,10]=>2 [8,5,9,10,2,6,7,1,3,4]=>2 [8,5,3,9,2,6,10,1,4,7]=>3 [8,6,9,4,7,2,5,1,3,10]=>3 [8,6,4,3,9,2,7,1,5,10]=>2 [8,6,5,4,3,2,9,1,7,10]=>2 [8,7,6,5,4,3,2,1,9,10]=>2 [9,7,5,4,3,10,2,8,1,6]=>2 [1,2,3,4,5,6,7,8,9,11,10]=>2 [2,1,3,4,5,6,7,8,9,10,11]=>2 [11,1,2,3,4,5,6,7,8,9,10]=>2 [10,9,8,7,6,5,4,3,2,1,11]=>2 [1,11,10,9,8,7,6,5,4,3,2]=>2 [2,3,4,5,6,7,8,9,10,11,1]=>2 [10,1,2,3,4,5,6,7,8,9,11]=>2 [1,11,2,3,4,5,6,7,8,9,10]=>2 [2,1,4,3,6,5,8,7,10,9,12,11]=>2 [2,1,4,3,6,5,8,7,12,11,10,9]=>2 [2,1,4,3,6,5,10,9,8,7,12,11]=>2 [2,1,4,3,6,5,12,9,8,11,10,7]=>2 [2,1,4,3,6,5,12,11,10,9,8,7]=>2 [2,1,4,3,8,7,6,5,10,9,12,11]=>2 [2,1,4,3,8,7,6,5,12,11,10,9]=>2 [2,1,4,3,10,7,6,9,8,5,12,11]=>2 [2,1,4,3,12,7,6,9,8,11,10,5]=>2 [2,1,4,3,12,7,6,11,10,9,8,5]=>2 [2,1,4,3,10,9,8,7,6,5,12,11]=>2 [2,1,4,3,12,9,8,7,6,11,10,5]=>2 [2,1,4,3,12,11,8,7,10,9,6,5]=>2 [2,1,4,3,12,11,10,9,8,7,6,5]=>2 [2,1,6,5,4,3,8,7,10,9,12,11]=>2 [2,1,6,5,4,3,8,7,12,11,10,9]=>2 [2,1,6,5,4,3,10,9,8,7,12,11]=>2 [2,1,6,5,4,3,12,9,8,11,10,7]=>2 [2,1,6,5,4,3,12,11,10,9,8,7]=>2 [2,1,8,5,4,7,6,3,10,9,12,11]=>2 [2,1,8,5,4,7,6,3,12,11,10,9]=>2 [2,1,10,5,4,7,6,9,8,3,12,11]=>2 [2,1,12,5,4,7,6,9,8,11,10,3]=>2 [2,1,12,5,4,7,6,11,10,9,8,3]=>2 [2,1,10,5,4,9,8,7,6,3,12,11]=>2 [2,1,12,5,4,9,8,7,6,11,10,3]=>2 [2,1,12,5,4,11,8,7,10,9,6,3]=>2 [2,1,12,5,4,11,10,9,8,7,6,3]=>2 [2,1,8,7,6,5,4,3,10,9,12,11]=>2 [2,1,8,7,6,5,4,3,12,11,10,9]=>2 [2,1,10,7,6,5,4,9,8,3,12,11]=>2 [2,1,12,7,6,5,4,9,8,11,10,3]=>2 [2,1,12,7,6,5,4,11,10,9,8,3]=>2 [2,1,10,9,6,5,8,7,4,3,12,11]=>2 [2,1,12,9,6,5,8,7,4,11,10,3]=>2 [2,1,12,11,6,5,8,7,10,9,4,3]=>2 [2,1,12,11,6,5,10,9,8,7,4,3]=>2 [2,1,10,9,8,7,6,5,4,3,12,11]=>2 [2,1,12,9,8,7,6,5,4,11,10,3]=>2 [2,1,12,11,8,7,6,5,10,9,4,3]=>2 [2,1,12,11,10,7,6,9,8,5,4,3]=>2 [2,1,12,11,10,9,8,7,6,5,4,3]=>2 [4,3,2,1,6,5,8,7,10,9,12,11]=>2 [4,3,2,1,6,5,8,7,12,11,10,9]=>2 [4,3,2,1,6,5,10,9,8,7,12,11]=>2 [4,3,2,1,6,5,12,9,8,11,10,7]=>2 [4,3,2,1,6,5,12,11,10,9,8,7]=>2 [4,3,2,1,8,7,6,5,10,9,12,11]=>2 [4,3,2,1,8,7,6,5,12,11,10,9]=>2 [4,3,2,1,10,7,6,9,8,5,12,11]=>2 [4,3,2,1,12,7,6,9,8,11,10,5]=>2 [4,3,2,1,12,7,6,11,10,9,8,5]=>2 [4,3,2,1,10,9,8,7,6,5,12,11]=>2 [4,3,2,1,12,9,8,7,6,11,10,5]=>2 [4,3,2,1,12,11,8,7,10,9,6,5]=>2 [4,3,2,1,12,11,10,9,8,7,6,5]=>2 [6,3,2,5,4,1,8,7,10,9,12,11]=>2 [6,3,2,5,4,1,8,7,12,11,10,9]=>2 [6,3,2,5,4,1,10,9,8,7,12,11]=>2 [6,3,2,5,4,1,12,9,8,11,10,7]=>2 [6,3,2,5,4,1,12,11,10,9,8,7]=>2 [8,3,2,5,4,7,6,1,10,9,12,11]=>2 [8,3,2,5,4,7,6,1,12,11,10,9]=>2 [10,3,2,5,4,7,6,9,8,1,12,11]=>2 [12,3,2,5,4,7,6,9,8,11,10,1]=>2 [12,3,2,5,4,7,6,11,10,9,8,1]=>2 [10,3,2,5,4,9,8,7,6,1,12,11]=>2 [12,3,2,5,4,9,8,7,6,11,10,1]=>2 [12,3,2,5,4,11,8,7,10,9,6,1]=>2 [12,3,2,5,4,11,10,9,8,7,6,1]=>2 [8,3,2,7,6,5,4,1,10,9,12,11]=>2 [8,3,2,7,6,5,4,1,12,11,10,9]=>2 [10,3,2,7,6,5,4,9,8,1,12,11]=>2 [12,3,2,7,6,5,4,9,8,11,10,1]=>2 [12,3,2,7,6,5,4,11,10,9,8,1]=>2 [10,3,2,9,6,5,8,7,4,1,12,11]=>2 [12,3,2,9,6,5,8,7,4,11,10,1]=>2 [12,3,2,11,6,5,8,7,10,9,4,1]=>2 [12,3,2,11,6,5,10,9,8,7,4,1]=>2 [10,3,2,9,8,7,6,5,4,1,12,11]=>2 [12,3,2,9,8,7,6,5,4,11,10,1]=>2 [12,3,2,11,8,7,6,5,10,9,4,1]=>2 [12,3,2,11,10,7,6,9,8,5,4,1]=>2 [12,3,2,11,10,9,8,7,6,5,4,1]=>2 [6,5,4,3,2,1,8,7,10,9,12,11]=>2 [6,5,4,3,2,1,8,7,12,11,10,9]=>2 [6,5,4,3,2,1,10,9,8,7,12,11]=>2 [6,5,4,3,2,1,12,9,8,11,10,7]=>2 [6,5,4,3,2,1,12,11,10,9,8,7]=>2 [8,5,4,3,2,7,6,1,10,9,12,11]=>2 [8,5,4,3,2,7,6,1,12,11,10,9]=>2 [10,5,4,3,2,7,6,9,8,1,12,11]=>2 [12,5,4,3,2,7,6,9,8,11,10,1]=>2 [12,5,4,3,2,7,6,11,10,9,8,1]=>2 [10,5,4,3,2,9,8,7,6,1,12,11]=>2 [12,5,4,3,2,9,8,7,6,11,10,1]=>2 [12,5,4,3,2,11,8,7,10,9,6,1]=>2 [12,5,4,3,2,11,10,9,8,7,6,1]=>2 [8,7,4,3,6,5,2,1,10,9,12,11]=>2 [8,7,4,3,6,5,2,1,12,11,10,9]=>2 [10,7,4,3,6,5,2,9,8,1,12,11]=>2 [12,7,4,3,6,5,2,9,8,11,10,1]=>2 [12,7,4,3,6,5,2,11,10,9,8,1]=>2 [10,9,4,3,6,5,8,7,2,1,12,11]=>2 [12,9,4,3,6,5,8,7,2,11,10,1]=>2 [12,11,4,3,6,5,8,7,10,9,2,1]=>2 [12,11,4,3,6,5,10,9,8,7,2,1]=>2 [10,9,4,3,8,7,6,5,2,1,12,11]=>2 [12,9,4,3,8,7,6,5,2,11,10,1]=>2 [12,11,4,3,8,7,6,5,10,9,2,1]=>2 [12,11,4,3,10,7,6,9,8,5,2,1]=>2 [12,11,4,3,10,9,8,7,6,5,2,1]=>2 [8,7,6,5,4,3,2,1,10,9,12,11]=>2 [8,7,6,5,4,3,2,1,12,11,10,9]=>2 [10,7,6,5,4,3,2,9,8,1,12,11]=>2 [12,7,6,5,4,3,2,9,8,11,10,1]=>2 [12,7,6,5,4,3,2,11,10,9,8,1]=>2 [10,9,6,5,4,3,8,7,2,1,12,11]=>2 [12,9,6,5,4,3,8,7,2,11,10,1]=>2 [12,11,6,5,4,3,8,7,10,9,2,1]=>2 [12,11,6,5,4,3,10,9,8,7,2,1]=>2 [10,9,8,5,4,7,6,3,2,1,12,11]=>2 [12,9,8,5,4,7,6,3,2,11,10,1]=>2 [12,11,8,5,4,7,6,3,10,9,2,1]=>2 [12,11,10,5,4,7,6,9,8,3,2,1]=>2 [12,11,10,5,4,9,8,7,6,3,2,1]=>2 [10,9,8,7,6,5,4,3,2,1,12,11]=>2 [12,9,8,7,6,5,4,3,2,11,10,1]=>2 [12,11,8,7,6,5,4,3,10,9,2,1]=>2 [12,11,10,7,6,5,4,9,8,3,2,1]=>2 [12,11,10,9,6,5,8,7,4,3,2,1]=>2 [12,11,10,9,8,7,6,5,4,3,2,1]=>2 [2,4,6,8,10,12,1,3,5,7,9,11]=>3 [2,4,6,8,11,12,1,3,5,7,9,10]=>2 [2,4,6,9,10,12,1,3,5,7,8,11]=>2 [2,4,6,9,11,12,1,3,5,7,8,10]=>2 [2,4,6,10,11,12,1,3,5,7,8,9]=>2 [2,4,7,8,10,12,1,3,5,6,9,11]=>2 [2,4,7,8,11,12,1,3,5,6,9,10]=>2 [2,4,7,9,10,12,1,3,5,6,8,11]=>2 [2,4,7,9,11,12,1,3,5,6,8,10]=>2 [2,4,7,10,11,12,1,3,5,6,8,9]=>2 [2,4,8,9,10,12,1,3,5,6,7,11]=>2 [2,4,8,9,11,12,1,3,5,6,7,10]=>2 [2,4,8,10,11,12,1,3,5,6,7,9]=>2 [2,4,9,10,11,12,1,3,5,6,7,8]=>2 [2,5,6,8,10,12,1,3,4,7,9,11]=>2 [2,5,6,8,11,12,1,3,4,7,9,10]=>2 [2,5,6,9,10,12,1,3,4,7,8,11]=>2 [2,5,6,9,11,12,1,3,4,7,8,10]=>2 [2,5,6,10,11,12,1,3,4,7,8,9]=>2 [2,5,7,8,10,12,1,3,4,6,9,11]=>2 [2,5,7,8,11,12,1,3,4,6,9,10]=>2 [2,5,7,9,10,12,1,3,4,6,8,11]=>2 [2,5,7,9,11,12,1,3,4,6,8,10]=>2 [2,5,7,10,11,12,1,3,4,6,8,9]=>2 [2,5,8,9,10,12,1,3,4,6,7,11]=>2 [2,5,8,9,11,12,1,3,4,6,7,10]=>2 [2,5,8,10,11,12,1,3,4,6,7,9]=>2 [2,5,9,10,11,12,1,3,4,6,7,8]=>2 [2,6,7,8,10,12,1,3,4,5,9,11]=>2 [2,6,7,8,11,12,1,3,4,5,9,10]=>2 [2,6,7,9,10,12,1,3,4,5,8,11]=>2 [2,6,7,9,11,12,1,3,4,5,8,10]=>2 [2,6,7,10,11,12,1,3,4,5,8,9]=>2 [2,6,8,9,10,12,1,3,4,5,7,11]=>2 [2,6,8,9,11,12,1,3,4,5,7,10]=>2 [2,6,8,10,11,12,1,3,4,5,7,9]=>2 [2,6,9,10,11,12,1,3,4,5,7,8]=>2 [2,7,8,9,10,12,1,3,4,5,6,11]=>2 [2,7,8,9,11,12,1,3,4,5,6,10]=>2 [2,7,8,10,11,12,1,3,4,5,6,9]=>2 [2,7,9,10,11,12,1,3,4,5,6,8]=>2 [2,8,9,10,11,12,1,3,4,5,6,7]=>2 [3,4,6,8,10,12,1,2,5,7,9,11]=>2 [3,4,6,8,11,12,1,2,5,7,9,10]=>2 [3,4,6,9,10,12,1,2,5,7,8,11]=>2 [3,4,6,9,11,12,1,2,5,7,8,10]=>2 [3,4,6,10,11,12,1,2,5,7,8,9]=>2 [3,4,7,8,10,12,1,2,5,6,9,11]=>2 [3,4,7,8,11,12,1,2,5,6,9,10]=>2 [3,4,7,9,10,12,1,2,5,6,8,11]=>2 [3,4,7,9,11,12,1,2,5,6,8,10]=>2 [3,4,7,10,11,12,1,2,5,6,8,9]=>2 [3,4,8,9,10,12,1,2,5,6,7,11]=>2 [3,4,8,9,11,12,1,2,5,6,7,10]=>2 [3,4,8,10,11,12,1,2,5,6,7,9]=>2 [3,4,9,10,11,12,1,2,5,6,7,8]=>2 [3,5,6,8,10,12,1,2,4,7,9,11]=>2 [3,5,6,8,11,12,1,2,4,7,9,10]=>2 [3,5,6,9,10,12,1,2,4,7,8,11]=>2 [3,5,6,9,11,12,1,2,4,7,8,10]=>2 [3,5,6,10,11,12,1,2,4,7,8,9]=>2 [3,5,7,8,10,12,1,2,4,6,9,11]=>2 [3,5,7,8,11,12,1,2,4,6,9,10]=>2 [3,5,7,9,10,12,1,2,4,6,8,11]=>2 [3,5,7,9,11,12,1,2,4,6,8,10]=>2 [3,5,7,10,11,12,1,2,4,6,8,9]=>2 [3,5,8,9,10,12,1,2,4,6,7,11]=>2 [3,5,8,9,11,12,1,2,4,6,7,10]=>2 [3,5,8,10,11,12,1,2,4,6,7,9]=>2 [3,5,9,10,11,12,1,2,4,6,7,8]=>2 [3,6,7,8,10,12,1,2,4,5,9,11]=>2 [3,6,7,8,11,12,1,2,4,5,9,10]=>2 [3,6,7,9,10,12,1,2,4,5,8,11]=>2 [3,6,7,9,11,12,1,2,4,5,8,10]=>2 [3,6,7,10,11,12,1,2,4,5,8,9]=>2 [3,6,8,9,10,12,1,2,4,5,7,11]=>2 [3,6,8,9,11,12,1,2,4,5,7,10]=>2 [3,6,8,10,11,12,1,2,4,5,7,9]=>2 [3,6,9,10,11,12,1,2,4,5,7,8]=>2 [3,7,8,9,10,12,1,2,4,5,6,11]=>2 [3,7,8,9,11,12,1,2,4,5,6,10]=>2 [3,7,8,10,11,12,1,2,4,5,6,9]=>2 [3,7,9,10,11,12,1,2,4,5,6,8]=>2 [3,8,9,10,11,12,1,2,4,5,6,7]=>2 [4,5,6,8,10,12,1,2,3,7,9,11]=>2 [4,5,6,8,11,12,1,2,3,7,9,10]=>2 [4,5,6,9,10,12,1,2,3,7,8,11]=>2 [4,5,6,9,11,12,1,2,3,7,8,10]=>2 [4,5,6,10,11,12,1,2,3,7,8,9]=>2 [4,5,7,8,10,12,1,2,3,6,9,11]=>2 [4,5,7,8,11,12,1,2,3,6,9,10]=>2 [4,5,7,9,10,12,1,2,3,6,8,11]=>2 [4,5,7,9,11,12,1,2,3,6,8,10]=>2 [4,5,7,10,11,12,1,2,3,6,8,9]=>2 [4,5,8,9,10,12,1,2,3,6,7,11]=>2 [4,5,8,9,11,12,1,2,3,6,7,10]=>2 [4,5,8,10,11,12,1,2,3,6,7,9]=>2 [4,5,9,10,11,12,1,2,3,6,7,8]=>2 [4,6,7,8,10,12,1,2,3,5,9,11]=>2 [4,6,7,8,11,12,1,2,3,5,9,10]=>2 [4,6,7,9,10,12,1,2,3,5,8,11]=>2 [4,6,7,9,11,12,1,2,3,5,8,10]=>2 [4,6,7,10,11,12,1,2,3,5,8,9]=>2 [4,6,8,9,10,12,1,2,3,5,7,11]=>2 [4,6,8,9,11,12,1,2,3,5,7,10]=>2 [4,6,8,10,11,12,1,2,3,5,7,9]=>2 [4,6,9,10,11,12,1,2,3,5,7,8]=>2 [4,7,8,9,10,12,1,2,3,5,6,11]=>2 [4,7,8,9,11,12,1,2,3,5,6,10]=>2 [4,7,8,10,11,12,1,2,3,5,6,9]=>2 [4,7,9,10,11,12,1,2,3,5,6,8]=>2 [4,8,9,10,11,12,1,2,3,5,6,7]=>2 [5,6,7,8,10,12,1,2,3,4,9,11]=>2 [5,6,7,8,11,12,1,2,3,4,9,10]=>2 [5,6,7,9,10,12,1,2,3,4,8,11]=>2 [5,6,7,9,11,12,1,2,3,4,8,10]=>2 [5,6,7,10,11,12,1,2,3,4,8,9]=>2 [5,6,8,9,10,12,1,2,3,4,7,11]=>2 [5,6,8,9,11,12,1,2,3,4,7,10]=>2 [5,6,8,10,11,12,1,2,3,4,7,9]=>2 [5,6,9,10,11,12,1,2,3,4,7,8]=>2 [5,7,8,9,10,12,1,2,3,4,6,11]=>2 [5,7,8,9,11,12,1,2,3,4,6,10]=>2 [5,7,8,10,11,12,1,2,3,4,6,9]=>2 [5,7,9,10,11,12,1,2,3,4,6,8]=>2 [5,8,9,10,11,12,1,2,3,4,6,7]=>2 [6,7,8,9,10,12,1,2,3,4,5,11]=>2 [6,7,8,9,11,12,1,2,3,4,5,10]=>2 [6,7,8,10,11,12,1,2,3,4,5,9]=>2 [6,7,9,10,11,12,1,2,3,4,5,8]=>2 [6,8,9,10,11,12,1,2,3,4,5,7]=>2 [7,8,9,10,11,12,1,2,3,4,5,6]=>2
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Description
The breadth of a permutation.
According to [1, Def.1.6], this is the minimal Manhattan distance between two ones in the permutation matrix of $\pi$: $$\min\{|i-j|+|\pi(i)-\pi(j)|: i\neq j\}.$$
According to [1, Def.1.3], a permutation $\pi$ is $k$-prolific, if the set of permutations obtained from $\pi$ by deleting any $k$ elements and standardising has maximal cardinality, i.e., $\binom{n}{k}$.
By [1, Thm.2.22], a permutation is $k$-prolific if and only if its breath is at least $k+2$.
By [1, Cor.4.3], the smallest permutations that are $k$-prolific have size $\lceil k^2+2k+1\rceil$, and by [1, Thm.4.4], there are $k$-prolific permutations of any size larger than this.
According to [2] the proportion of $k$-prolific permutations in the set of all permutations is asymptotically equal to $\exp(-k^2-k)$.
References
[1] Bevan, D., Homberger, C., Tenner, B. E. Prolific permutations and permuted packings: downsets containing many large patterns arXiv:1608.06931
[2] Blackburn, S. R., Homberger, C., Winkler, P. The minimum Manhattan distance and minimum jump of permutations arXiv:1706.01557
Code
def statistic(pi):
    return min([abs(i-j)+abs(pi[i]-pi[j])
                for i in range(len(pi))
                for j in range(i+1, len(pi))])
Created
Jun 07, 2017 at 07:56 by Martin Rubey
Updated
Mar 18, 2018 at 20:06 by Martin Rubey