edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>4 [2,1]=>1 [1,2,3]=>8 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>1 [3,1,2]=>1 [3,2,1]=>2 [1,2,3,4]=>16 [1,2,4,3]=>4 [1,3,2,4]=>4 [1,3,4,2]=>2 [1,4,2,3]=>2 [1,4,3,2]=>4 [2,1,3,4]=>4 [2,1,4,3]=>1 [2,3,1,4]=>2 [2,3,4,1]=>1 [2,4,1,3]=>1 [2,4,3,1]=>2 [3,1,2,4]=>2 [3,1,4,2]=>1 [3,2,1,4]=>4 [3,2,4,1]=>2 [3,4,1,2]=>1 [3,4,2,1]=>1 [4,1,2,3]=>1 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>4 [4,3,1,2]=>1 [4,3,2,1]=>1 [1,2,3,4,5]=>32 [1,2,3,5,4]=>8 [1,2,4,3,5]=>8 [1,2,4,5,3]=>4 [1,2,5,3,4]=>4 [1,2,5,4,3]=>8 [1,3,2,4,5]=>8 [1,3,2,5,4]=>2 [1,3,4,2,5]=>4 [1,3,4,5,2]=>2 [1,3,5,2,4]=>2 [1,3,5,4,2]=>4 [1,4,2,3,5]=>4 [1,4,2,5,3]=>2 [1,4,3,2,5]=>8 [1,4,3,5,2]=>4 [1,4,5,2,3]=>2 [1,4,5,3,2]=>2 [1,5,2,3,4]=>2 [1,5,2,4,3]=>4 [1,5,3,2,4]=>4 [1,5,3,4,2]=>8 [1,5,4,2,3]=>2 [1,5,4,3,2]=>2 [2,1,3,4,5]=>8 [2,1,3,5,4]=>2 [2,1,4,3,5]=>2 [2,1,4,5,3]=>1 [2,1,5,3,4]=>1 [2,1,5,4,3]=>2 [2,3,1,4,5]=>4 [2,3,1,5,4]=>1 [2,3,4,1,5]=>2 [2,3,4,5,1]=>1 [2,3,5,1,4]=>1 [2,3,5,4,1]=>2 [2,4,1,3,5]=>2 [2,4,1,5,3]=>1 [2,4,3,1,5]=>4 [2,4,3,5,1]=>2 [2,4,5,1,3]=>1 [2,4,5,3,1]=>1 [2,5,1,3,4]=>1 [2,5,1,4,3]=>2 [2,5,3,1,4]=>2 [2,5,3,4,1]=>4 [2,5,4,1,3]=>1 [2,5,4,3,1]=>1 [3,1,2,4,5]=>4 [3,1,2,5,4]=>1 [3,1,4,2,5]=>2 [3,1,4,5,2]=>1 [3,1,5,2,4]=>1 [3,1,5,4,2]=>2 [3,2,1,4,5]=>8 [3,2,1,5,4]=>2 [3,2,4,1,5]=>4 [3,2,4,5,1]=>2 [3,2,5,1,4]=>2 [3,2,5,4,1]=>4 [3,4,1,2,5]=>2 [3,4,1,5,2]=>1 [3,4,2,1,5]=>2 [3,4,2,5,1]=>1 [3,4,5,1,2]=>1 [3,4,5,2,1]=>1 [3,5,1,2,4]=>1 [3,5,1,4,2]=>2 [3,5,2,1,4]=>1 [3,5,2,4,1]=>2 [3,5,4,1,2]=>1 [3,5,4,2,1]=>1 [4,1,2,3,5]=>2 [4,1,2,5,3]=>1 [4,1,3,2,5]=>4 [4,1,3,5,2]=>2 [4,1,5,2,3]=>1 [4,1,5,3,2]=>1 [4,2,1,3,5]=>4 [4,2,1,5,3]=>2 [4,2,3,1,5]=>8 [4,2,3,5,1]=>4 [4,2,5,1,3]=>2 [4,2,5,3,1]=>2 [4,3,1,2,5]=>2 [4,3,1,5,2]=>1 [4,3,2,1,5]=>2 [4,3,2,5,1]=>1 [4,3,5,1,2]=>1 [4,3,5,2,1]=>1 [4,5,1,2,3]=>1 [4,5,1,3,2]=>1 [4,5,2,1,3]=>1 [4,5,2,3,1]=>1 [4,5,3,1,2]=>2 [4,5,3,2,1]=>2 [5,1,2,3,4]=>1 [5,1,2,4,3]=>2 [5,1,3,2,4]=>2 [5,1,3,4,2]=>4 [5,1,4,2,3]=>1 [5,1,4,3,2]=>1 [5,2,1,3,4]=>2 [5,2,1,4,3]=>4 [5,2,3,1,4]=>4 [5,2,3,4,1]=>8 [5,2,4,1,3]=>2 [5,2,4,3,1]=>2 [5,3,1,2,4]=>1 [5,3,1,4,2]=>2 [5,3,2,1,4]=>1 [5,3,2,4,1]=>2 [5,3,4,1,2]=>1 [5,3,4,2,1]=>1 [5,4,1,2,3]=>1 [5,4,1,3,2]=>1 [5,4,2,1,3]=>1 [5,4,2,3,1]=>1 [5,4,3,1,2]=>2 [5,4,3,2,1]=>2 [1,2,3,4,5,6]=>64 [1,2,3,4,6,5]=>16 [1,2,3,5,4,6]=>16 [1,2,3,5,6,4]=>8 [1,2,3,6,4,5]=>8 [1,2,3,6,5,4]=>16 [1,2,4,3,5,6]=>16 [1,2,4,3,6,5]=>4 [1,2,4,5,3,6]=>8 [1,2,4,5,6,3]=>4 [1,2,4,6,3,5]=>4 [1,2,4,6,5,3]=>8 [1,2,5,3,4,6]=>8 [1,2,5,3,6,4]=>4 [1,2,5,4,3,6]=>16 [1,2,5,4,6,3]=>8 [1,2,5,6,3,4]=>4 [1,2,5,6,4,3]=>4 [1,2,6,3,4,5]=>4 [1,2,6,3,5,4]=>8 [1,2,6,4,3,5]=>8 [1,2,6,4,5,3]=>16 [1,2,6,5,3,4]=>4 [1,2,6,5,4,3]=>4 [1,3,2,4,5,6]=>16 [1,3,2,4,6,5]=>4 [1,3,2,5,4,6]=>4 [1,3,2,5,6,4]=>2 [1,3,2,6,4,5]=>2 [1,3,2,6,5,4]=>4 [1,3,4,2,5,6]=>8 [1,3,4,2,6,5]=>2 [1,3,4,5,2,6]=>4 [1,3,4,5,6,2]=>2 [1,3,4,6,2,5]=>2 [1,3,4,6,5,2]=>4 [1,3,5,2,4,6]=>4 [1,3,5,2,6,4]=>2 [1,3,5,4,2,6]=>8 [1,3,5,4,6,2]=>4 [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]=>4 [1,3,6,4,2,5]=>4 [1,3,6,4,5,2]=>8 [1,3,6,5,2,4]=>2 [1,3,6,5,4,2]=>2 [1,4,2,3,5,6]=>8 [1,4,2,3,6,5]=>2 [1,4,2,5,3,6]=>4 [1,4,2,5,6,3]=>2 [1,4,2,6,3,5]=>2 [1,4,2,6,5,3]=>4 [1,4,3,2,5,6]=>16 [1,4,3,2,6,5]=>4 [1,4,3,5,2,6]=>8 [1,4,3,5,6,2]=>4 [1,4,3,6,2,5]=>4 [1,4,3,6,5,2]=>8 [1,4,5,2,3,6]=>4 [1,4,5,2,6,3]=>2 [1,4,5,3,2,6]=>4 [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]=>4 [1,4,6,3,2,5]=>2 [1,4,6,3,5,2]=>4 [1,4,6,5,2,3]=>2 [1,4,6,5,3,2]=>2 [1,5,2,3,4,6]=>4 [1,5,2,3,6,4]=>2 [1,5,2,4,3,6]=>8 [1,5,2,4,6,3]=>4 [1,5,2,6,3,4]=>2 [1,5,2,6,4,3]=>2 [1,5,3,2,4,6]=>8 [1,5,3,2,6,4]=>4 [1,5,3,4,2,6]=>16 [1,5,3,4,6,2]=>8 [1,5,3,6,2,4]=>4 [1,5,3,6,4,2]=>4 [1,5,4,2,3,6]=>4 [1,5,4,2,6,3]=>2 [1,5,4,3,2,6]=>4 [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]=>4 [1,5,6,4,3,2]=>4 [1,6,2,3,4,5]=>2 [1,6,2,3,5,4]=>4 [1,6,2,4,3,5]=>4 [1,6,2,4,5,3]=>8 [1,6,2,5,3,4]=>2 [1,6,2,5,4,3]=>2 [1,6,3,2,4,5]=>4 [1,6,3,2,5,4]=>8 [1,6,3,4,2,5]=>8 [1,6,3,4,5,2]=>16 [1,6,3,5,2,4]=>4 [1,6,3,5,4,2]=>4 [1,6,4,2,3,5]=>2 [1,6,4,2,5,3]=>4 [1,6,4,3,2,5]=>2 [1,6,4,3,5,2]=>4 [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]=>4 [1,6,5,4,3,2]=>4 [2,1,3,4,5,6]=>16 [2,1,3,4,6,5]=>4 [2,1,3,5,4,6]=>4 [2,1,3,5,6,4]=>2 [2,1,3,6,4,5]=>2 [2,1,3,6,5,4]=>4 [2,1,4,3,5,6]=>4 [2,1,4,3,6,5]=>1 [2,1,4,5,3,6]=>2 [2,1,4,5,6,3]=>1 [2,1,4,6,3,5]=>1 [2,1,4,6,5,3]=>2 [2,1,5,3,4,6]=>2 [2,1,5,3,6,4]=>1 [2,1,5,4,3,6]=>4 [2,1,5,4,6,3]=>2 [2,1,5,6,3,4]=>1 [2,1,5,6,4,3]=>1 [2,1,6,3,4,5]=>1 [2,1,6,3,5,4]=>2 [2,1,6,4,3,5]=>2 [2,1,6,4,5,3]=>4 [2,1,6,5,3,4]=>1 [2,1,6,5,4,3]=>1 [2,3,1,4,5,6]=>8 [2,3,1,4,6,5]=>2 [2,3,1,5,4,6]=>2 [2,3,1,5,6,4]=>1 [2,3,1,6,4,5]=>1 [2,3,1,6,5,4]=>2 [2,3,4,1,5,6]=>4 [2,3,4,1,6,5]=>1 [2,3,4,5,1,6]=>2 [2,3,4,5,6,1]=>1 [2,3,4,6,1,5]=>1 [2,3,4,6,5,1]=>2 [2,3,5,1,4,6]=>2 [2,3,5,1,6,4]=>1 [2,3,5,4,1,6]=>4 [2,3,5,4,6,1]=>2 [2,3,5,6,1,4]=>1 [2,3,5,6,4,1]=>1 [2,3,6,1,4,5]=>1 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>2 [2,3,6,4,5,1]=>4 [2,3,6,5,1,4]=>1 [2,3,6,5,4,1]=>1 [2,4,1,3,5,6]=>4 [2,4,1,3,6,5]=>1 [2,4,1,5,3,6]=>2 [2,4,1,5,6,3]=>1 [2,4,1,6,3,5]=>1 [2,4,1,6,5,3]=>2 [2,4,3,1,5,6]=>8 [2,4,3,1,6,5]=>2 [2,4,3,5,1,6]=>4 [2,4,3,5,6,1]=>2 [2,4,3,6,1,5]=>2 [2,4,3,6,5,1]=>4 [2,4,5,1,3,6]=>2 [2,4,5,1,6,3]=>1 [2,4,5,3,1,6]=>2 [2,4,5,3,6,1]=>1 [2,4,5,6,1,3]=>1 [2,4,5,6,3,1]=>1 [2,4,6,1,3,5]=>1 [2,4,6,1,5,3]=>2 [2,4,6,3,1,5]=>1 [2,4,6,3,5,1]=>2 [2,4,6,5,1,3]=>1 [2,4,6,5,3,1]=>1 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>1 [2,5,1,4,3,6]=>4 [2,5,1,4,6,3]=>2 [2,5,1,6,3,4]=>1 [2,5,1,6,4,3]=>1 [2,5,3,1,4,6]=>4 [2,5,3,1,6,4]=>2 [2,5,3,4,1,6]=>8 [2,5,3,4,6,1]=>4 [2,5,3,6,1,4]=>2 [2,5,3,6,4,1]=>2 [2,5,4,1,3,6]=>2 [2,5,4,1,6,3]=>1 [2,5,4,3,1,6]=>2 [2,5,4,3,6,1]=>1 [2,5,4,6,1,3]=>1 [2,5,4,6,3,1]=>1 [2,5,6,1,3,4]=>1 [2,5,6,1,4,3]=>1 [2,5,6,3,1,4]=>1 [2,5,6,3,4,1]=>1 [2,5,6,4,1,3]=>2 [2,5,6,4,3,1]=>2 [2,6,1,3,4,5]=>1 [2,6,1,3,5,4]=>2 [2,6,1,4,3,5]=>2 [2,6,1,4,5,3]=>4 [2,6,1,5,3,4]=>1 [2,6,1,5,4,3]=>1 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>4 [2,6,3,4,1,5]=>4 [2,6,3,4,5,1]=>8 [2,6,3,5,1,4]=>2 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>1 [2,6,4,1,5,3]=>2 [2,6,4,3,1,5]=>1 [2,6,4,3,5,1]=>2 [2,6,4,5,1,3]=>1 [2,6,4,5,3,1]=>1 [2,6,5,1,3,4]=>1 [2,6,5,1,4,3]=>1 [2,6,5,3,1,4]=>1 [2,6,5,3,4,1]=>1 [2,6,5,4,1,3]=>2 [2,6,5,4,3,1]=>2 [3,1,2,4,5,6]=>8 [3,1,2,4,6,5]=>2 [3,1,2,5,4,6]=>2 [3,1,2,5,6,4]=>1 [3,1,2,6,4,5]=>1 [3,1,2,6,5,4]=>2 [3,1,4,2,5,6]=>4 [3,1,4,2,6,5]=>1 [3,1,4,5,2,6]=>2 [3,1,4,5,6,2]=>1 [3,1,4,6,2,5]=>1 [3,1,4,6,5,2]=>2 [3,1,5,2,4,6]=>2 [3,1,5,2,6,4]=>1 [3,1,5,4,2,6]=>4 [3,1,5,4,6,2]=>2 [3,1,5,6,2,4]=>1 [3,1,5,6,4,2]=>1 [3,1,6,2,4,5]=>1 [3,1,6,2,5,4]=>2 [3,1,6,4,2,5]=>2 [3,1,6,4,5,2]=>4 [3,1,6,5,2,4]=>1 [3,1,6,5,4,2]=>1 [3,2,1,4,5,6]=>16 [3,2,1,4,6,5]=>4 [3,2,1,5,4,6]=>4 [3,2,1,5,6,4]=>2 [3,2,1,6,4,5]=>2 [3,2,1,6,5,4]=>4 [3,2,4,1,5,6]=>8 [3,2,4,1,6,5]=>2 [3,2,4,5,1,6]=>4 [3,2,4,5,6,1]=>2 [3,2,4,6,1,5]=>2 [3,2,4,6,5,1]=>4 [3,2,5,1,4,6]=>4 [3,2,5,1,6,4]=>2 [3,2,5,4,1,6]=>8 [3,2,5,4,6,1]=>4 [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]=>4 [3,2,6,4,1,5]=>4 [3,2,6,4,5,1]=>8 [3,2,6,5,1,4]=>2 [3,2,6,5,4,1]=>2 [3,4,1,2,5,6]=>4 [3,4,1,2,6,5]=>1 [3,4,1,5,2,6]=>2 [3,4,1,5,6,2]=>1 [3,4,1,6,2,5]=>1 [3,4,1,6,5,2]=>2 [3,4,2,1,5,6]=>4 [3,4,2,1,6,5]=>1 [3,4,2,5,1,6]=>2 [3,4,2,5,6,1]=>1 [3,4,2,6,1,5]=>1 [3,4,2,6,5,1]=>2 [3,4,5,1,2,6]=>2 [3,4,5,1,6,2]=>1 [3,4,5,2,1,6]=>2 [3,4,5,2,6,1]=>1 [3,4,5,6,1,2]=>1 [3,4,5,6,2,1]=>1 [3,4,6,1,2,5]=>1 [3,4,6,1,5,2]=>2 [3,4,6,2,1,5]=>1 [3,4,6,2,5,1]=>2 [3,4,6,5,1,2]=>1 [3,4,6,5,2,1]=>1 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>1 [3,5,1,4,2,6]=>4 [3,5,1,4,6,2]=>2 [3,5,1,6,2,4]=>1 [3,5,1,6,4,2]=>1 [3,5,2,1,4,6]=>2 [3,5,2,1,6,4]=>1 [3,5,2,4,1,6]=>4 [3,5,2,4,6,1]=>2 [3,5,2,6,1,4]=>1 [3,5,2,6,4,1]=>1 [3,5,4,1,2,6]=>2 [3,5,4,1,6,2]=>1 [3,5,4,2,1,6]=>2 [3,5,4,2,6,1]=>1 [3,5,4,6,1,2]=>1 [3,5,4,6,2,1]=>1 [3,5,6,1,2,4]=>1 [3,5,6,1,4,2]=>1 [3,5,6,2,1,4]=>1 [3,5,6,2,4,1]=>1 [3,5,6,4,1,2]=>2 [3,5,6,4,2,1]=>2 [3,6,1,2,4,5]=>1 [3,6,1,2,5,4]=>2 [3,6,1,4,2,5]=>2 [3,6,1,4,5,2]=>4 [3,6,1,5,2,4]=>1 [3,6,1,5,4,2]=>1 [3,6,2,1,4,5]=>1 [3,6,2,1,5,4]=>2 [3,6,2,4,1,5]=>2 [3,6,2,4,5,1]=>4 [3,6,2,5,1,4]=>1 [3,6,2,5,4,1]=>1 [3,6,4,1,2,5]=>1 [3,6,4,1,5,2]=>2 [3,6,4,2,1,5]=>1 [3,6,4,2,5,1]=>2 [3,6,4,5,1,2]=>1 [3,6,4,5,2,1]=>1 [3,6,5,1,2,4]=>1 [3,6,5,1,4,2]=>1 [3,6,5,2,1,4]=>1 [3,6,5,2,4,1]=>1 [3,6,5,4,1,2]=>2 [3,6,5,4,2,1]=>2 [4,1,2,3,5,6]=>4 [4,1,2,3,6,5]=>1 [4,1,2,5,3,6]=>2 [4,1,2,5,6,3]=>1 [4,1,2,6,3,5]=>1 [4,1,2,6,5,3]=>2 [4,1,3,2,5,6]=>8 [4,1,3,2,6,5]=>2 [4,1,3,5,2,6]=>4 [4,1,3,5,6,2]=>2 [4,1,3,6,2,5]=>2 [4,1,3,6,5,2]=>4 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>1 [4,1,5,3,2,6]=>2 [4,1,5,3,6,2]=>1 [4,1,5,6,2,3]=>1 [4,1,5,6,3,2]=>1 [4,1,6,2,3,5]=>1 [4,1,6,2,5,3]=>2 [4,1,6,3,2,5]=>1 [4,1,6,3,5,2]=>2 [4,1,6,5,2,3]=>1 [4,1,6,5,3,2]=>1 [4,2,1,3,5,6]=>8 [4,2,1,3,6,5]=>2 [4,2,1,5,3,6]=>4 [4,2,1,5,6,3]=>2 [4,2,1,6,3,5]=>2 [4,2,1,6,5,3]=>4 [4,2,3,1,5,6]=>16 [4,2,3,1,6,5]=>4 [4,2,3,5,1,6]=>8 [4,2,3,5,6,1]=>4 [4,2,3,6,1,5]=>4 [4,2,3,6,5,1]=>8 [4,2,5,1,3,6]=>4 [4,2,5,1,6,3]=>2 [4,2,5,3,1,6]=>4 [4,2,5,3,6,1]=>2 [4,2,5,6,1,3]=>2 [4,2,5,6,3,1]=>2 [4,2,6,1,3,5]=>2 [4,2,6,1,5,3]=>4 [4,2,6,3,1,5]=>2 [4,2,6,3,5,1]=>4 [4,2,6,5,1,3]=>2 [4,2,6,5,3,1]=>2 [4,3,1,2,5,6]=>4 [4,3,1,2,6,5]=>1 [4,3,1,5,2,6]=>2 [4,3,1,5,6,2]=>1 [4,3,1,6,2,5]=>1 [4,3,1,6,5,2]=>2 [4,3,2,1,5,6]=>4 [4,3,2,1,6,5]=>1 [4,3,2,5,1,6]=>2 [4,3,2,5,6,1]=>1 [4,3,2,6,1,5]=>1 [4,3,2,6,5,1]=>2 [4,3,5,1,2,6]=>2 [4,3,5,1,6,2]=>1 [4,3,5,2,1,6]=>2 [4,3,5,2,6,1]=>1 [4,3,5,6,1,2]=>1 [4,3,5,6,2,1]=>1 [4,3,6,1,2,5]=>1 [4,3,6,1,5,2]=>2 [4,3,6,2,1,5]=>1 [4,3,6,2,5,1]=>2 [4,3,6,5,1,2]=>1 [4,3,6,5,2,1]=>1 [4,5,1,2,3,6]=>2 [4,5,1,2,6,3]=>1 [4,5,1,3,2,6]=>2 [4,5,1,3,6,2]=>1 [4,5,1,6,2,3]=>1 [4,5,1,6,3,2]=>1 [4,5,2,1,3,6]=>2 [4,5,2,1,6,3]=>1 [4,5,2,3,1,6]=>2 [4,5,2,3,6,1]=>1 [4,5,2,6,1,3]=>1 [4,5,2,6,3,1]=>1 [4,5,3,1,2,6]=>4 [4,5,3,1,6,2]=>2 [4,5,3,2,1,6]=>4 [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]=>1 [4,5,6,1,3,2]=>1 [4,5,6,2,1,3]=>1 [4,5,6,2,3,1]=>1 [4,5,6,3,1,2]=>1 [4,5,6,3,2,1]=>1 [4,6,1,2,3,5]=>1 [4,6,1,2,5,3]=>2 [4,6,1,3,2,5]=>1 [4,6,1,3,5,2]=>2 [4,6,1,5,2,3]=>1 [4,6,1,5,3,2]=>1 [4,6,2,1,3,5]=>1 [4,6,2,1,5,3]=>2 [4,6,2,3,1,5]=>1 [4,6,2,3,5,1]=>2 [4,6,2,5,1,3]=>1 [4,6,2,5,3,1]=>1 [4,6,3,1,2,5]=>2 [4,6,3,1,5,2]=>4 [4,6,3,2,1,5]=>2 [4,6,3,2,5,1]=>4 [4,6,3,5,1,2]=>2 [4,6,3,5,2,1]=>2 [4,6,5,1,2,3]=>1 [4,6,5,1,3,2]=>1 [4,6,5,2,1,3]=>1 [4,6,5,2,3,1]=>1 [4,6,5,3,1,2]=>1 [4,6,5,3,2,1]=>1 [5,1,2,3,4,6]=>2 [5,1,2,3,6,4]=>1 [5,1,2,4,3,6]=>4 [5,1,2,4,6,3]=>2 [5,1,2,6,3,4]=>1 [5,1,2,6,4,3]=>1 [5,1,3,2,4,6]=>4 [5,1,3,2,6,4]=>2 [5,1,3,4,2,6]=>8 [5,1,3,4,6,2]=>4 [5,1,3,6,2,4]=>2 [5,1,3,6,4,2]=>2 [5,1,4,2,3,6]=>2 [5,1,4,2,6,3]=>1 [5,1,4,3,2,6]=>2 [5,1,4,3,6,2]=>1 [5,1,4,6,2,3]=>1 [5,1,4,6,3,2]=>1 [5,1,6,2,3,4]=>1 [5,1,6,2,4,3]=>1 [5,1,6,3,2,4]=>1 [5,1,6,3,4,2]=>1 [5,1,6,4,2,3]=>2 [5,1,6,4,3,2]=>2 [5,2,1,3,4,6]=>4 [5,2,1,3,6,4]=>2 [5,2,1,4,3,6]=>8 [5,2,1,4,6,3]=>4 [5,2,1,6,3,4]=>2 [5,2,1,6,4,3]=>2 [5,2,3,1,4,6]=>8 [5,2,3,1,6,4]=>4 [5,2,3,4,1,6]=>16 [5,2,3,4,6,1]=>8 [5,2,3,6,1,4]=>4 [5,2,3,6,4,1]=>4 [5,2,4,1,3,6]=>4 [5,2,4,1,6,3]=>2 [5,2,4,3,1,6]=>4 [5,2,4,3,6,1]=>2 [5,2,4,6,1,3]=>2 [5,2,4,6,3,1]=>2 [5,2,6,1,3,4]=>2 [5,2,6,1,4,3]=>2 [5,2,6,3,1,4]=>2 [5,2,6,3,4,1]=>2 [5,2,6,4,1,3]=>4 [5,2,6,4,3,1]=>4 [5,3,1,2,4,6]=>2 [5,3,1,2,6,4]=>1 [5,3,1,4,2,6]=>4 [5,3,1,4,6,2]=>2 [5,3,1,6,2,4]=>1 [5,3,1,6,4,2]=>1 [5,3,2,1,4,6]=>2 [5,3,2,1,6,4]=>1 [5,3,2,4,1,6]=>4 [5,3,2,4,6,1]=>2 [5,3,2,6,1,4]=>1 [5,3,2,6,4,1]=>1 [5,3,4,1,2,6]=>2 [5,3,4,1,6,2]=>1 [5,3,4,2,1,6]=>2 [5,3,4,2,6,1]=>1 [5,3,4,6,1,2]=>1 [5,3,4,6,2,1]=>1 [5,3,6,1,2,4]=>1 [5,3,6,1,4,2]=>1 [5,3,6,2,1,4]=>1 [5,3,6,2,4,1]=>1 [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]=>1 [5,4,1,3,2,6]=>2 [5,4,1,3,6,2]=>1 [5,4,1,6,2,3]=>1 [5,4,1,6,3,2]=>1 [5,4,2,1,3,6]=>2 [5,4,2,1,6,3]=>1 [5,4,2,3,1,6]=>2 [5,4,2,3,6,1]=>1 [5,4,2,6,1,3]=>1 [5,4,2,6,3,1]=>1 [5,4,3,1,2,6]=>4 [5,4,3,1,6,2]=>2 [5,4,3,2,1,6]=>4 [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]=>1 [5,4,6,1,3,2]=>1 [5,4,6,2,1,3]=>1 [5,4,6,2,3,1]=>1 [5,4,6,3,1,2]=>1 [5,4,6,3,2,1]=>1 [5,6,1,2,3,4]=>1 [5,6,1,2,4,3]=>1 [5,6,1,3,2,4]=>1 [5,6,1,3,4,2]=>1 [5,6,1,4,2,3]=>2 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>1 [5,6,2,1,4,3]=>1 [5,6,2,3,1,4]=>1 [5,6,2,3,4,1]=>1 [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]=>4 [5,6,3,4,2,1]=>4 [5,6,4,1,2,3]=>1 [5,6,4,1,3,2]=>1 [5,6,4,2,1,3]=>1 [5,6,4,2,3,1]=>1 [5,6,4,3,1,2]=>1 [5,6,4,3,2,1]=>1 [6,1,2,3,4,5]=>1 [6,1,2,3,5,4]=>2 [6,1,2,4,3,5]=>2 [6,1,2,4,5,3]=>4 [6,1,2,5,3,4]=>1 [6,1,2,5,4,3]=>1 [6,1,3,2,4,5]=>2 [6,1,3,2,5,4]=>4 [6,1,3,4,2,5]=>4 [6,1,3,4,5,2]=>8 [6,1,3,5,2,4]=>2 [6,1,3,5,4,2]=>2 [6,1,4,2,3,5]=>1 [6,1,4,2,5,3]=>2 [6,1,4,3,2,5]=>1 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>1 [6,1,4,5,3,2]=>1 [6,1,5,2,3,4]=>1 [6,1,5,2,4,3]=>1 [6,1,5,3,2,4]=>1 [6,1,5,3,4,2]=>1 [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]=>4 [6,2,1,4,3,5]=>4 [6,2,1,4,5,3]=>8 [6,2,1,5,3,4]=>2 [6,2,1,5,4,3]=>2 [6,2,3,1,4,5]=>4 [6,2,3,1,5,4]=>8 [6,2,3,4,1,5]=>8 [6,2,3,4,5,1]=>16 [6,2,3,5,1,4]=>4 [6,2,3,5,4,1]=>4 [6,2,4,1,3,5]=>2 [6,2,4,1,5,3]=>4 [6,2,4,3,1,5]=>2 [6,2,4,3,5,1]=>4 [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]=>2 [6,2,5,3,4,1]=>2 [6,2,5,4,1,3]=>4 [6,2,5,4,3,1]=>4 [6,3,1,2,4,5]=>1 [6,3,1,2,5,4]=>2 [6,3,1,4,2,5]=>2 [6,3,1,4,5,2]=>4 [6,3,1,5,2,4]=>1 [6,3,1,5,4,2]=>1 [6,3,2,1,4,5]=>1 [6,3,2,1,5,4]=>2 [6,3,2,4,1,5]=>2 [6,3,2,4,5,1]=>4 [6,3,2,5,1,4]=>1 [6,3,2,5,4,1]=>1 [6,3,4,1,2,5]=>1 [6,3,4,1,5,2]=>2 [6,3,4,2,1,5]=>1 [6,3,4,2,5,1]=>2 [6,3,4,5,1,2]=>1 [6,3,4,5,2,1]=>1 [6,3,5,1,2,4]=>1 [6,3,5,1,4,2]=>1 [6,3,5,2,1,4]=>1 [6,3,5,2,4,1]=>1 [6,3,5,4,1,2]=>2 [6,3,5,4,2,1]=>2 [6,4,1,2,3,5]=>1 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>1 [6,4,1,3,5,2]=>2 [6,4,1,5,2,3]=>1 [6,4,1,5,3,2]=>1 [6,4,2,1,3,5]=>1 [6,4,2,1,5,3]=>2 [6,4,2,3,1,5]=>1 [6,4,2,3,5,1]=>2 [6,4,2,5,1,3]=>1 [6,4,2,5,3,1]=>1 [6,4,3,1,2,5]=>2 [6,4,3,1,5,2]=>4 [6,4,3,2,1,5]=>2 [6,4,3,2,5,1]=>4 [6,4,3,5,1,2]=>2 [6,4,3,5,2,1]=>2 [6,4,5,1,2,3]=>1 [6,4,5,1,3,2]=>1 [6,4,5,2,1,3]=>1 [6,4,5,2,3,1]=>1 [6,4,5,3,1,2]=>1 [6,4,5,3,2,1]=>1 [6,5,1,2,3,4]=>1 [6,5,1,2,4,3]=>1 [6,5,1,3,2,4]=>1 [6,5,1,3,4,2]=>1 [6,5,1,4,2,3]=>2 [6,5,1,4,3,2]=>2 [6,5,2,1,3,4]=>1 [6,5,2,1,4,3]=>1 [6,5,2,3,1,4]=>1 [6,5,2,3,4,1]=>1 [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]=>4 [6,5,3,4,2,1]=>4 [6,5,4,1,2,3]=>1 [6,5,4,1,3,2]=>1 [6,5,4,2,1,3]=>1 [6,5,4,2,3,1]=>1 [6,5,4,3,1,2]=>1 [6,5,4,3,2,1]=>1 [1,2,3,4,5,6,7]=>128 [1,2,3,4,5,7,6]=>32 [1,2,3,4,6,5,7]=>32 [1,2,3,4,6,7,5]=>16 [1,2,3,4,7,5,6]=>16 [1,2,3,4,7,6,5]=>32 [1,2,3,5,4,6,7]=>32 [1,2,3,5,4,7,6]=>8 [1,2,3,5,6,4,7]=>16 [1,2,3,5,6,7,4]=>8 [1,2,3,5,7,4,6]=>8 [1,2,3,5,7,6,4]=>16 [1,2,3,6,4,5,7]=>16 [1,2,3,6,4,7,5]=>8 [1,2,3,6,5,4,7]=>32 [1,2,3,6,5,7,4]=>16 [1,2,3,6,7,4,5]=>8 [1,2,3,6,7,5,4]=>8 [1,2,3,7,4,5,6]=>8 [1,2,3,7,4,6,5]=>16 [1,2,3,7,5,4,6]=>16 [1,2,3,7,5,6,4]=>32 [1,2,3,7,6,4,5]=>8 [1,2,3,7,6,5,4]=>8 [1,2,4,3,5,6,7]=>32 [1,2,4,3,5,7,6]=>8 [1,2,4,3,6,5,7]=>8 [1,2,4,3,6,7,5]=>4 [1,2,4,3,7,5,6]=>4 [1,2,4,3,7,6,5]=>8 [1,2,4,5,3,6,7]=>16 [1,2,4,5,3,7,6]=>4 [1,2,4,5,6,3,7]=>8 [1,2,4,5,6,7,3]=>4 [1,2,4,5,7,3,6]=>4 [1,2,4,5,7,6,3]=>8 [1,2,4,6,3,5,7]=>8 [1,2,4,6,3,7,5]=>4 [1,2,4,6,5,3,7]=>16 [1,2,4,6,5,7,3]=>8 [1,2,4,6,7,3,5]=>4 [1,2,4,6,7,5,3]=>4 [1,2,4,7,3,5,6]=>4 [1,2,4,7,3,6,5]=>8 [1,2,4,7,5,3,6]=>8 [1,2,4,7,5,6,3]=>16 [1,2,4,7,6,3,5]=>4 [1,2,4,7,6,5,3]=>4 [1,2,5,3,4,6,7]=>16 [1,2,5,3,4,7,6]=>4 [1,2,5,3,6,4,7]=>8 [1,2,5,3,6,7,4]=>4 [1,2,5,3,7,4,6]=>4 [1,2,5,3,7,6,4]=>8 [1,2,5,4,3,6,7]=>32 [1,2,5,4,3,7,6]=>8 [1,2,5,4,6,3,7]=>16 [1,2,5,4,6,7,3]=>8 [1,2,5,4,7,3,6]=>8 [1,2,5,4,7,6,3]=>16 [1,2,5,6,3,4,7]=>8 [1,2,5,6,3,7,4]=>4 [1,2,5,6,4,3,7]=>8 [1,2,5,6,4,7,3]=>4 [1,2,5,6,7,3,4]=>4 [1,2,5,6,7,4,3]=>4 [1,2,5,7,3,4,6]=>4 [1,2,5,7,3,6,4]=>8 [1,2,5,7,4,3,6]=>4 [1,2,5,7,4,6,3]=>8 [1,2,5,7,6,3,4]=>4 [1,2,5,7,6,4,3]=>4 [1,2,6,3,4,5,7]=>8 [1,2,6,3,4,7,5]=>4 [1,2,6,3,5,4,7]=>16 [1,2,6,3,5,7,4]=>8 [1,2,6,3,7,4,5]=>4 [1,2,6,3,7,5,4]=>4 [1,2,6,4,3,5,7]=>16 [1,2,6,4,3,7,5]=>8 [1,2,6,4,5,3,7]=>32 [1,2,6,4,5,7,3]=>16 [1,2,6,4,7,3,5]=>8 [1,2,6,4,7,5,3]=>8 [1,2,6,5,3,4,7]=>8 [1,2,6,5,3,7,4]=>4 [1,2,6,5,4,3,7]=>8 [1,2,6,5,4,7,3]=>4 [1,2,6,5,7,3,4]=>4 [1,2,6,5,7,4,3]=>4 [1,2,6,7,3,4,5]=>4 [1,2,6,7,3,5,4]=>4 [1,2,6,7,4,3,5]=>4 [1,2,6,7,4,5,3]=>4 [1,2,6,7,5,3,4]=>8 [1,2,6,7,5,4,3]=>8 [1,2,7,3,4,5,6]=>4 [1,2,7,3,4,6,5]=>8 [1,2,7,3,5,4,6]=>8 [1,2,7,3,5,6,4]=>16 [1,2,7,3,6,4,5]=>4 [1,2,7,3,6,5,4]=>4 [1,2,7,4,3,5,6]=>8 [1,2,7,4,3,6,5]=>16 [1,2,7,4,5,3,6]=>16 [1,2,7,4,5,6,3]=>32 [1,2,7,4,6,3,5]=>8 [1,2,7,4,6,5,3]=>8 [1,2,7,5,3,4,6]=>4 [1,2,7,5,3,6,4]=>8 [1,2,7,5,4,3,6]=>4 [1,2,7,5,4,6,3]=>8 [1,2,7,5,6,3,4]=>4 [1,2,7,5,6,4,3]=>4 [1,2,7,6,3,4,5]=>4 [1,2,7,6,3,5,4]=>4 [1,2,7,6,4,3,5]=>4 [1,2,7,6,4,5,3]=>4 [1,2,7,6,5,3,4]=>8 [1,2,7,6,5,4,3]=>8 [1,3,2,4,5,6,7]=>32 [1,3,2,4,5,7,6]=>8 [1,3,2,4,6,5,7]=>8 [1,3,2,4,6,7,5]=>4 [1,3,2,4,7,5,6]=>4 [1,3,2,4,7,6,5]=>8 [1,3,2,5,4,6,7]=>8 [1,3,2,5,4,7,6]=>2 [1,3,2,5,6,4,7]=>4 [1,3,2,5,6,7,4]=>2 [1,3,2,5,7,4,6]=>2 [1,3,2,5,7,6,4]=>4 [1,3,2,6,4,5,7]=>4 [1,3,2,6,4,7,5]=>2 [1,3,2,6,5,4,7]=>8 [1,3,2,6,5,7,4]=>4 [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]=>4 [1,3,2,7,5,4,6]=>4 [1,3,2,7,5,6,4]=>8 [1,3,2,7,6,4,5]=>2 [1,3,2,7,6,5,4]=>2 [1,3,4,2,5,6,7]=>16 [1,3,4,2,5,7,6]=>4 [1,3,4,2,6,5,7]=>4 [1,3,4,2,6,7,5]=>2 [1,3,4,2,7,5,6]=>2 [1,3,4,2,7,6,5]=>4 [1,3,4,5,2,6,7]=>8 [1,3,4,5,2,7,6]=>2 [1,3,4,5,6,2,7]=>4 [1,3,4,5,6,7,2]=>2 [1,3,4,5,7,2,6]=>2 [1,3,4,5,7,6,2]=>4 [1,3,4,6,2,5,7]=>4 [1,3,4,6,2,7,5]=>2 [1,3,4,6,5,2,7]=>8 [1,3,4,6,5,7,2]=>4 [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]=>4 [1,3,4,7,5,2,6]=>4 [1,3,4,7,5,6,2]=>8 [1,3,4,7,6,2,5]=>2 [1,3,4,7,6,5,2]=>2 [1,3,5,2,4,6,7]=>8 [1,3,5,2,4,7,6]=>2 [1,3,5,2,6,4,7]=>4 [1,3,5,2,6,7,4]=>2 [1,3,5,2,7,4,6]=>2 [1,3,5,2,7,6,4]=>4 [1,3,5,4,2,6,7]=>16 [1,3,5,4,2,7,6]=>4 [1,3,5,4,6,2,7]=>8 [1,3,5,4,6,7,2]=>4 [1,3,5,4,7,2,6]=>4 [1,3,5,4,7,6,2]=>8 [1,3,5,6,2,4,7]=>4 [1,3,5,6,2,7,4]=>2 [1,3,5,6,4,2,7]=>4 [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]=>2 [1,3,5,7,2,6,4]=>4 [1,3,5,7,4,2,6]=>2 [1,3,5,7,4,6,2]=>4 [1,3,5,7,6,2,4]=>2 [1,3,5,7,6,4,2]=>2 [1,3,6,2,4,5,7]=>4 [1,3,6,2,4,7,5]=>2 [1,3,6,2,5,4,7]=>8 [1,3,6,2,5,7,4]=>4 [1,3,6,2,7,4,5]=>2 [1,3,6,2,7,5,4]=>2 [1,3,6,4,2,5,7]=>8 [1,3,6,4,2,7,5]=>4 [1,3,6,4,5,2,7]=>16 [1,3,6,4,5,7,2]=>8 [1,3,6,4,7,2,5]=>4 [1,3,6,4,7,5,2]=>4 [1,3,6,5,2,4,7]=>4 [1,3,6,5,2,7,4]=>2 [1,3,6,5,4,2,7]=>4 [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]=>4 [1,3,6,7,5,4,2]=>4 [1,3,7,2,4,5,6]=>2 [1,3,7,2,4,6,5]=>4 [1,3,7,2,5,4,6]=>4 [1,3,7,2,5,6,4]=>8 [1,3,7,2,6,4,5]=>2 [1,3,7,2,6,5,4]=>2 [1,3,7,4,2,5,6]=>4 [1,3,7,4,2,6,5]=>8 [1,3,7,4,5,2,6]=>8 [1,3,7,4,5,6,2]=>16 [1,3,7,4,6,2,5]=>4 [1,3,7,4,6,5,2]=>4 [1,3,7,5,2,4,6]=>2 [1,3,7,5,2,6,4]=>4 [1,3,7,5,4,2,6]=>2 [1,3,7,5,4,6,2]=>4 [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]=>4 [1,3,7,6,5,4,2]=>4 [1,4,2,3,5,6,7]=>16 [1,4,2,3,5,7,6]=>4 [1,4,2,3,6,5,7]=>4 [1,4,2,3,6,7,5]=>2 [1,4,2,3,7,5,6]=>2 [1,4,2,3,7,6,5]=>4 [1,4,2,5,3,6,7]=>8 [1,4,2,5,3,7,6]=>2 [1,4,2,5,6,3,7]=>4 [1,4,2,5,6,7,3]=>2 [1,4,2,5,7,3,6]=>2 [1,4,2,5,7,6,3]=>4 [1,4,2,6,3,5,7]=>4 [1,4,2,6,3,7,5]=>2 [1,4,2,6,5,3,7]=>8 [1,4,2,6,5,7,3]=>4 [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]=>4 [1,4,2,7,5,3,6]=>4 [1,4,2,7,5,6,3]=>8 [1,4,2,7,6,3,5]=>2 [1,4,2,7,6,5,3]=>2 [1,4,3,2,5,6,7]=>32 [1,4,3,2,5,7,6]=>8 [1,4,3,2,6,5,7]=>8 [1,4,3,2,6,7,5]=>4 [1,4,3,2,7,5,6]=>4 [1,4,3,2,7,6,5]=>8 [1,4,3,5,2,6,7]=>16 [1,4,3,5,2,7,6]=>4 [1,4,3,5,6,2,7]=>8 [1,4,3,5,6,7,2]=>4 [1,4,3,5,7,2,6]=>4 [1,4,3,5,7,6,2]=>8 [1,4,3,6,2,5,7]=>8 [1,4,3,6,2,7,5]=>4 [1,4,3,6,5,2,7]=>16 [1,4,3,6,5,7,2]=>8 [1,4,3,6,7,2,5]=>4 [1,4,3,6,7,5,2]=>4 [1,4,3,7,2,5,6]=>4 [1,4,3,7,2,6,5]=>8 [1,4,3,7,5,2,6]=>8 [1,4,3,7,5,6,2]=>16 [1,4,3,7,6,2,5]=>4 [1,4,3,7,6,5,2]=>4 [1,4,5,2,3,6,7]=>8 [1,4,5,2,3,7,6]=>2 [1,4,5,2,6,3,7]=>4 [1,4,5,2,6,7,3]=>2 [1,4,5,2,7,3,6]=>2 [1,4,5,2,7,6,3]=>4 [1,4,5,3,2,6,7]=>8 [1,4,5,3,2,7,6]=>2 [1,4,5,3,6,2,7]=>4 [1,4,5,3,6,7,2]=>2 [1,4,5,3,7,2,6]=>2 [1,4,5,3,7,6,2]=>4 [1,4,5,6,2,3,7]=>4 [1,4,5,6,2,7,3]=>2 [1,4,5,6,3,2,7]=>4 [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]=>4 [1,4,5,7,3,2,6]=>2 [1,4,5,7,3,6,2]=>4 [1,4,5,7,6,2,3]=>2 [1,4,5,7,6,3,2]=>2 [1,4,6,2,3,5,7]=>4 [1,4,6,2,3,7,5]=>2 [1,4,6,2,5,3,7]=>8 [1,4,6,2,5,7,3]=>4 [1,4,6,2,7,3,5]=>2 [1,4,6,2,7,5,3]=>2 [1,4,6,3,2,5,7]=>4 [1,4,6,3,2,7,5]=>2 [1,4,6,3,5,2,7]=>8 [1,4,6,3,5,7,2]=>4 [1,4,6,3,7,2,5]=>2 [1,4,6,3,7,5,2]=>2 [1,4,6,5,2,3,7]=>4 [1,4,6,5,2,7,3]=>2 [1,4,6,5,3,2,7]=>4 [1,4,6,5,3,7,2]=>2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of affine bounded permutations that project to a given permutation.
As affine bounded permutations are in bijection with usual permutations where fix-points come in two colors, this statistic is $2^k$ where $k$ is the number of fixed points St000022The number of fixed points of a permutation..
References
[1] Lam, T. Totally nonnegative Grassmannian and Grassmann polytopes arXiv:1506.00603
Code
def statistic(pi):
    return 2^pi.number_of_fixed_points()

Created
Feb 03, 2017 at 11:11 by Christian Stump
Updated
Feb 03, 2017 at 11:11 by Christian Stump