edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>2 [2,1]=>0 [1,2,3]=>4 [1,3,2]=>2 [2,1,3]=>0 [2,3,1]=>0 [3,1,2]=>0 [3,2,1]=>0 [1,2,3,4]=>8 [1,2,4,3]=>4 [1,3,2,4]=>4 [1,3,4,2]=>2 [1,4,2,3]=>4 [1,4,3,2]=>2 [2,1,3,4]=>0 [2,1,4,3]=>0 [2,3,1,4]=>0 [2,3,4,1]=>0 [2,4,1,3]=>0 [2,4,3,1]=>0 [3,1,2,4]=>0 [3,1,4,2]=>0 [3,2,1,4]=>0 [3,2,4,1]=>0 [3,4,1,2]=>0 [3,4,2,1]=>0 [4,1,2,3]=>0 [4,1,3,2]=>0 [4,2,1,3]=>0 [4,2,3,1]=>0 [4,3,1,2]=>0 [4,3,2,1]=>0 [1,2,3,4,5]=>16 [1,2,3,5,4]=>8 [1,2,4,3,5]=>8 [1,2,4,5,3]=>4 [1,2,5,3,4]=>8 [1,2,5,4,3]=>4 [1,3,2,4,5]=>8 [1,3,2,5,4]=>4 [1,3,4,2,5]=>4 [1,3,4,5,2]=>2 [1,3,5,2,4]=>4 [1,3,5,4,2]=>2 [1,4,2,3,5]=>8 [1,4,2,5,3]=>4 [1,4,3,2,5]=>4 [1,4,3,5,2]=>2 [1,4,5,2,3]=>4 [1,4,5,3,2]=>2 [1,5,2,3,4]=>8 [1,5,2,4,3]=>4 [1,5,3,2,4]=>4 [1,5,3,4,2]=>2 [1,5,4,2,3]=>4 [1,5,4,3,2]=>2 [2,1,3,4,5]=>0 [2,1,3,5,4]=>0 [2,1,4,3,5]=>0 [2,1,4,5,3]=>0 [2,1,5,3,4]=>0 [2,1,5,4,3]=>0 [2,3,1,4,5]=>0 [2,3,1,5,4]=>0 [2,3,4,1,5]=>0 [2,3,4,5,1]=>0 [2,3,5,1,4]=>0 [2,3,5,4,1]=>0 [2,4,1,3,5]=>0 [2,4,1,5,3]=>0 [2,4,3,1,5]=>0 [2,4,3,5,1]=>0 [2,4,5,1,3]=>0 [2,4,5,3,1]=>0 [2,5,1,3,4]=>0 [2,5,1,4,3]=>0 [2,5,3,1,4]=>0 [2,5,3,4,1]=>0 [2,5,4,1,3]=>0 [2,5,4,3,1]=>0 [3,1,2,4,5]=>0 [3,1,2,5,4]=>0 [3,1,4,2,5]=>0 [3,1,4,5,2]=>0 [3,1,5,2,4]=>0 [3,1,5,4,2]=>0 [3,2,1,4,5]=>0 [3,2,1,5,4]=>0 [3,2,4,1,5]=>0 [3,2,4,5,1]=>0 [3,2,5,1,4]=>0 [3,2,5,4,1]=>0 [3,4,1,2,5]=>0 [3,4,1,5,2]=>0 [3,4,2,1,5]=>0 [3,4,2,5,1]=>0 [3,4,5,1,2]=>0 [3,4,5,2,1]=>0 [3,5,1,2,4]=>0 [3,5,1,4,2]=>0 [3,5,2,1,4]=>0 [3,5,2,4,1]=>0 [3,5,4,1,2]=>0 [3,5,4,2,1]=>0 [4,1,2,3,5]=>0 [4,1,2,5,3]=>0 [4,1,3,2,5]=>0 [4,1,3,5,2]=>0 [4,1,5,2,3]=>0 [4,1,5,3,2]=>0 [4,2,1,3,5]=>0 [4,2,1,5,3]=>0 [4,2,3,1,5]=>0 [4,2,3,5,1]=>0 [4,2,5,1,3]=>0 [4,2,5,3,1]=>0 [4,3,1,2,5]=>0 [4,3,1,5,2]=>0 [4,3,2,1,5]=>0 [4,3,2,5,1]=>0 [4,3,5,1,2]=>0 [4,3,5,2,1]=>0 [4,5,1,2,3]=>0 [4,5,1,3,2]=>0 [4,5,2,1,3]=>0 [4,5,2,3,1]=>0 [4,5,3,1,2]=>0 [4,5,3,2,1]=>0 [5,1,2,3,4]=>0 [5,1,2,4,3]=>0 [5,1,3,2,4]=>0 [5,1,3,4,2]=>0 [5,1,4,2,3]=>0 [5,1,4,3,2]=>0 [5,2,1,3,4]=>0 [5,2,1,4,3]=>0 [5,2,3,1,4]=>0 [5,2,3,4,1]=>0 [5,2,4,1,3]=>0 [5,2,4,3,1]=>0 [5,3,1,2,4]=>0 [5,3,1,4,2]=>0 [5,3,2,1,4]=>0 [5,3,2,4,1]=>0 [5,3,4,1,2]=>0 [5,3,4,2,1]=>0 [5,4,1,2,3]=>0 [5,4,1,3,2]=>0 [5,4,2,1,3]=>0 [5,4,2,3,1]=>0 [5,4,3,1,2]=>0 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>32 [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]=>16 [1,2,3,6,5,4]=>8 [1,2,4,3,5,6]=>16 [1,2,4,3,6,5]=>8 [1,2,4,5,3,6]=>8 [1,2,4,5,6,3]=>4 [1,2,4,6,3,5]=>8 [1,2,4,6,5,3]=>4 [1,2,5,3,4,6]=>16 [1,2,5,3,6,4]=>8 [1,2,5,4,3,6]=>8 [1,2,5,4,6,3]=>4 [1,2,5,6,3,4]=>8 [1,2,5,6,4,3]=>4 [1,2,6,3,4,5]=>16 [1,2,6,3,5,4]=>8 [1,2,6,4,3,5]=>8 [1,2,6,4,5,3]=>4 [1,2,6,5,3,4]=>8 [1,2,6,5,4,3]=>4 [1,3,2,4,5,6]=>16 [1,3,2,4,6,5]=>8 [1,3,2,5,4,6]=>8 [1,3,2,5,6,4]=>4 [1,3,2,6,4,5]=>8 [1,3,2,6,5,4]=>4 [1,3,4,2,5,6]=>8 [1,3,4,2,6,5]=>4 [1,3,4,5,2,6]=>4 [1,3,4,5,6,2]=>2 [1,3,4,6,2,5]=>4 [1,3,4,6,5,2]=>2 [1,3,5,2,4,6]=>8 [1,3,5,2,6,4]=>4 [1,3,5,4,2,6]=>4 [1,3,5,4,6,2]=>2 [1,3,5,6,2,4]=>4 [1,3,5,6,4,2]=>2 [1,3,6,2,4,5]=>8 [1,3,6,2,5,4]=>4 [1,3,6,4,2,5]=>4 [1,3,6,4,5,2]=>2 [1,3,6,5,2,4]=>4 [1,3,6,5,4,2]=>2 [1,4,2,3,5,6]=>16 [1,4,2,3,6,5]=>8 [1,4,2,5,3,6]=>8 [1,4,2,5,6,3]=>4 [1,4,2,6,3,5]=>8 [1,4,2,6,5,3]=>4 [1,4,3,2,5,6]=>8 [1,4,3,2,6,5]=>4 [1,4,3,5,2,6]=>4 [1,4,3,5,6,2]=>2 [1,4,3,6,2,5]=>4 [1,4,3,6,5,2]=>2 [1,4,5,2,3,6]=>8 [1,4,5,2,6,3]=>4 [1,4,5,3,2,6]=>4 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>4 [1,4,5,6,3,2]=>2 [1,4,6,2,3,5]=>8 [1,4,6,2,5,3]=>4 [1,4,6,3,2,5]=>4 [1,4,6,3,5,2]=>2 [1,4,6,5,2,3]=>4 [1,4,6,5,3,2]=>2 [1,5,2,3,4,6]=>16 [1,5,2,3,6,4]=>8 [1,5,2,4,3,6]=>8 [1,5,2,4,6,3]=>4 [1,5,2,6,3,4]=>8 [1,5,2,6,4,3]=>4 [1,5,3,2,4,6]=>8 [1,5,3,2,6,4]=>4 [1,5,3,4,2,6]=>4 [1,5,3,4,6,2]=>2 [1,5,3,6,2,4]=>4 [1,5,3,6,4,2]=>2 [1,5,4,2,3,6]=>8 [1,5,4,2,6,3]=>4 [1,5,4,3,2,6]=>4 [1,5,4,3,6,2]=>2 [1,5,4,6,2,3]=>4 [1,5,4,6,3,2]=>2 [1,5,6,2,3,4]=>8 [1,5,6,2,4,3]=>4 [1,5,6,3,2,4]=>4 [1,5,6,3,4,2]=>2 [1,5,6,4,2,3]=>4 [1,5,6,4,3,2]=>2 [1,6,2,3,4,5]=>16 [1,6,2,3,5,4]=>8 [1,6,2,4,3,5]=>8 [1,6,2,4,5,3]=>4 [1,6,2,5,3,4]=>8 [1,6,2,5,4,3]=>4 [1,6,3,2,4,5]=>8 [1,6,3,2,5,4]=>4 [1,6,3,4,2,5]=>4 [1,6,3,4,5,2]=>2 [1,6,3,5,2,4]=>4 [1,6,3,5,4,2]=>2 [1,6,4,2,3,5]=>8 [1,6,4,2,5,3]=>4 [1,6,4,3,2,5]=>4 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>4 [1,6,4,5,3,2]=>2 [1,6,5,2,3,4]=>8 [1,6,5,2,4,3]=>4 [1,6,5,3,2,4]=>4 [1,6,5,3,4,2]=>2 [1,6,5,4,2,3]=>4 [1,6,5,4,3,2]=>2 [2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>0 [2,1,3,5,4,6]=>0 [2,1,3,5,6,4]=>0 [2,1,3,6,4,5]=>0 [2,1,3,6,5,4]=>0 [2,1,4,3,5,6]=>0 [2,1,4,3,6,5]=>0 [2,1,4,5,3,6]=>0 [2,1,4,5,6,3]=>0 [2,1,4,6,3,5]=>0 [2,1,4,6,5,3]=>0 [2,1,5,3,4,6]=>0 [2,1,5,3,6,4]=>0 [2,1,5,4,3,6]=>0 [2,1,5,4,6,3]=>0 [2,1,5,6,3,4]=>0 [2,1,5,6,4,3]=>0 [2,1,6,3,4,5]=>0 [2,1,6,3,5,4]=>0 [2,1,6,4,3,5]=>0 [2,1,6,4,5,3]=>0 [2,1,6,5,3,4]=>0 [2,1,6,5,4,3]=>0 [2,3,1,4,5,6]=>0 [2,3,1,4,6,5]=>0 [2,3,1,5,4,6]=>0 [2,3,1,5,6,4]=>0 [2,3,1,6,4,5]=>0 [2,3,1,6,5,4]=>0 [2,3,4,1,5,6]=>0 [2,3,4,1,6,5]=>0 [2,3,4,5,1,6]=>0 [2,3,4,5,6,1]=>0 [2,3,4,6,1,5]=>0 [2,3,4,6,5,1]=>0 [2,3,5,1,4,6]=>0 [2,3,5,1,6,4]=>0 [2,3,5,4,1,6]=>0 [2,3,5,4,6,1]=>0 [2,3,5,6,1,4]=>0 [2,3,5,6,4,1]=>0 [2,3,6,1,4,5]=>0 [2,3,6,1,5,4]=>0 [2,3,6,4,1,5]=>0 [2,3,6,4,5,1]=>0 [2,3,6,5,1,4]=>0 [2,3,6,5,4,1]=>0 [2,4,1,3,5,6]=>0 [2,4,1,3,6,5]=>0 [2,4,1,5,3,6]=>0 [2,4,1,5,6,3]=>0 [2,4,1,6,3,5]=>0 [2,4,1,6,5,3]=>0 [2,4,3,1,5,6]=>0 [2,4,3,1,6,5]=>0 [2,4,3,5,1,6]=>0 [2,4,3,5,6,1]=>0 [2,4,3,6,1,5]=>0 [2,4,3,6,5,1]=>0 [2,4,5,1,3,6]=>0 [2,4,5,1,6,3]=>0 [2,4,5,3,1,6]=>0 [2,4,5,3,6,1]=>0 [2,4,5,6,1,3]=>0 [2,4,5,6,3,1]=>0 [2,4,6,1,3,5]=>0 [2,4,6,1,5,3]=>0 [2,4,6,3,1,5]=>0 [2,4,6,3,5,1]=>0 [2,4,6,5,1,3]=>0 [2,4,6,5,3,1]=>0 [2,5,1,3,4,6]=>0 [2,5,1,3,6,4]=>0 [2,5,1,4,3,6]=>0 [2,5,1,4,6,3]=>0 [2,5,1,6,3,4]=>0 [2,5,1,6,4,3]=>0 [2,5,3,1,4,6]=>0 [2,5,3,1,6,4]=>0 [2,5,3,4,1,6]=>0 [2,5,3,4,6,1]=>0 [2,5,3,6,1,4]=>0 [2,5,3,6,4,1]=>0 [2,5,4,1,3,6]=>0 [2,5,4,1,6,3]=>0 [2,5,4,3,1,6]=>0 [2,5,4,3,6,1]=>0 [2,5,4,6,1,3]=>0 [2,5,4,6,3,1]=>0 [2,5,6,1,3,4]=>0 [2,5,6,1,4,3]=>0 [2,5,6,3,1,4]=>0 [2,5,6,3,4,1]=>0 [2,5,6,4,1,3]=>0 [2,5,6,4,3,1]=>0 [2,6,1,3,4,5]=>0 [2,6,1,3,5,4]=>0 [2,6,1,4,3,5]=>0 [2,6,1,4,5,3]=>0 [2,6,1,5,3,4]=>0 [2,6,1,5,4,3]=>0 [2,6,3,1,4,5]=>0 [2,6,3,1,5,4]=>0 [2,6,3,4,1,5]=>0 [2,6,3,4,5,1]=>0 [2,6,3,5,1,4]=>0 [2,6,3,5,4,1]=>0 [2,6,4,1,3,5]=>0 [2,6,4,1,5,3]=>0 [2,6,4,3,1,5]=>0 [2,6,4,3,5,1]=>0 [2,6,4,5,1,3]=>0 [2,6,4,5,3,1]=>0 [2,6,5,1,3,4]=>0 [2,6,5,1,4,3]=>0 [2,6,5,3,1,4]=>0 [2,6,5,3,4,1]=>0 [2,6,5,4,1,3]=>0 [2,6,5,4,3,1]=>0 [3,1,2,4,5,6]=>0 [3,1,2,4,6,5]=>0 [3,1,2,5,4,6]=>0 [3,1,2,5,6,4]=>0 [3,1,2,6,4,5]=>0 [3,1,2,6,5,4]=>0 [3,1,4,2,5,6]=>0 [3,1,4,2,6,5]=>0 [3,1,4,5,2,6]=>0 [3,1,4,5,6,2]=>0 [3,1,4,6,2,5]=>0 [3,1,4,6,5,2]=>0 [3,1,5,2,4,6]=>0 [3,1,5,2,6,4]=>0 [3,1,5,4,2,6]=>0 [3,1,5,4,6,2]=>0 [3,1,5,6,2,4]=>0 [3,1,5,6,4,2]=>0 [3,1,6,2,4,5]=>0 [3,1,6,2,5,4]=>0 [3,1,6,4,2,5]=>0 [3,1,6,4,5,2]=>0 [3,1,6,5,2,4]=>0 [3,1,6,5,4,2]=>0 [3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>0 [3,2,1,5,4,6]=>0 [3,2,1,5,6,4]=>0 [3,2,1,6,4,5]=>0 [3,2,1,6,5,4]=>0 [3,2,4,1,5,6]=>0 [3,2,4,1,6,5]=>0 [3,2,4,5,1,6]=>0 [3,2,4,5,6,1]=>0 [3,2,4,6,1,5]=>0 [3,2,4,6,5,1]=>0 [3,2,5,1,4,6]=>0 [3,2,5,1,6,4]=>0 [3,2,5,4,1,6]=>0 [3,2,5,4,6,1]=>0 [3,2,5,6,1,4]=>0 [3,2,5,6,4,1]=>0 [3,2,6,1,4,5]=>0 [3,2,6,1,5,4]=>0 [3,2,6,4,1,5]=>0 [3,2,6,4,5,1]=>0 [3,2,6,5,1,4]=>0 [3,2,6,5,4,1]=>0 [3,4,1,2,5,6]=>0 [3,4,1,2,6,5]=>0 [3,4,1,5,2,6]=>0 [3,4,1,5,6,2]=>0 [3,4,1,6,2,5]=>0 [3,4,1,6,5,2]=>0 [3,4,2,1,5,6]=>0 [3,4,2,1,6,5]=>0 [3,4,2,5,1,6]=>0 [3,4,2,5,6,1]=>0 [3,4,2,6,1,5]=>0 [3,4,2,6,5,1]=>0 [3,4,5,1,2,6]=>0 [3,4,5,1,6,2]=>0 [3,4,5,2,1,6]=>0 [3,4,5,2,6,1]=>0 [3,4,5,6,1,2]=>0 [3,4,5,6,2,1]=>0 [3,4,6,1,2,5]=>0 [3,4,6,1,5,2]=>0 [3,4,6,2,1,5]=>0 [3,4,6,2,5,1]=>0 [3,4,6,5,1,2]=>0 [3,4,6,5,2,1]=>0 [3,5,1,2,4,6]=>0 [3,5,1,2,6,4]=>0 [3,5,1,4,2,6]=>0 [3,5,1,4,6,2]=>0 [3,5,1,6,2,4]=>0 [3,5,1,6,4,2]=>0 [3,5,2,1,4,6]=>0 [3,5,2,1,6,4]=>0 [3,5,2,4,1,6]=>0 [3,5,2,4,6,1]=>0 [3,5,2,6,1,4]=>0 [3,5,2,6,4,1]=>0 [3,5,4,1,2,6]=>0 [3,5,4,1,6,2]=>0 [3,5,4,2,1,6]=>0 [3,5,4,2,6,1]=>0 [3,5,4,6,1,2]=>0 [3,5,4,6,2,1]=>0 [3,5,6,1,2,4]=>0 [3,5,6,1,4,2]=>0 [3,5,6,2,1,4]=>0 [3,5,6,2,4,1]=>0 [3,5,6,4,1,2]=>0 [3,5,6,4,2,1]=>0 [3,6,1,2,4,5]=>0 [3,6,1,2,5,4]=>0 [3,6,1,4,2,5]=>0 [3,6,1,4,5,2]=>0 [3,6,1,5,2,4]=>0 [3,6,1,5,4,2]=>0 [3,6,2,1,4,5]=>0 [3,6,2,1,5,4]=>0 [3,6,2,4,1,5]=>0 [3,6,2,4,5,1]=>0 [3,6,2,5,1,4]=>0 [3,6,2,5,4,1]=>0 [3,6,4,1,2,5]=>0 [3,6,4,1,5,2]=>0 [3,6,4,2,1,5]=>0 [3,6,4,2,5,1]=>0 [3,6,4,5,1,2]=>0 [3,6,4,5,2,1]=>0 [3,6,5,1,2,4]=>0 [3,6,5,1,4,2]=>0 [3,6,5,2,1,4]=>0 [3,6,5,2,4,1]=>0 [3,6,5,4,1,2]=>0 [3,6,5,4,2,1]=>0 [4,1,2,3,5,6]=>0 [4,1,2,3,6,5]=>0 [4,1,2,5,3,6]=>0 [4,1,2,5,6,3]=>0 [4,1,2,6,3,5]=>0 [4,1,2,6,5,3]=>0 [4,1,3,2,5,6]=>0 [4,1,3,2,6,5]=>0 [4,1,3,5,2,6]=>0 [4,1,3,5,6,2]=>0 [4,1,3,6,2,5]=>0 [4,1,3,6,5,2]=>0 [4,1,5,2,3,6]=>0 [4,1,5,2,6,3]=>0 [4,1,5,3,2,6]=>0 [4,1,5,3,6,2]=>0 [4,1,5,6,2,3]=>0 [4,1,5,6,3,2]=>0 [4,1,6,2,3,5]=>0 [4,1,6,2,5,3]=>0 [4,1,6,3,2,5]=>0 [4,1,6,3,5,2]=>0 [4,1,6,5,2,3]=>0 [4,1,6,5,3,2]=>0 [4,2,1,3,5,6]=>0 [4,2,1,3,6,5]=>0 [4,2,1,5,3,6]=>0 [4,2,1,5,6,3]=>0 [4,2,1,6,3,5]=>0 [4,2,1,6,5,3]=>0 [4,2,3,1,5,6]=>0 [4,2,3,1,6,5]=>0 [4,2,3,5,1,6]=>0 [4,2,3,5,6,1]=>0 [4,2,3,6,1,5]=>0 [4,2,3,6,5,1]=>0 [4,2,5,1,3,6]=>0 [4,2,5,1,6,3]=>0 [4,2,5,3,1,6]=>0 [4,2,5,3,6,1]=>0 [4,2,5,6,1,3]=>0 [4,2,5,6,3,1]=>0 [4,2,6,1,3,5]=>0 [4,2,6,1,5,3]=>0 [4,2,6,3,1,5]=>0 [4,2,6,3,5,1]=>0 [4,2,6,5,1,3]=>0 [4,2,6,5,3,1]=>0 [4,3,1,2,5,6]=>0 [4,3,1,2,6,5]=>0 [4,3,1,5,2,6]=>0 [4,3,1,5,6,2]=>0 [4,3,1,6,2,5]=>0 [4,3,1,6,5,2]=>0 [4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>0 [4,3,2,5,1,6]=>0 [4,3,2,5,6,1]=>0 [4,3,2,6,1,5]=>0 [4,3,2,6,5,1]=>0 [4,3,5,1,2,6]=>0 [4,3,5,1,6,2]=>0 [4,3,5,2,1,6]=>0 [4,3,5,2,6,1]=>0 [4,3,5,6,1,2]=>0 [4,3,5,6,2,1]=>0 [4,3,6,1,2,5]=>0 [4,3,6,1,5,2]=>0 [4,3,6,2,1,5]=>0 [4,3,6,2,5,1]=>0 [4,3,6,5,1,2]=>0 [4,3,6,5,2,1]=>0 [4,5,1,2,3,6]=>0 [4,5,1,2,6,3]=>0 [4,5,1,3,2,6]=>0 [4,5,1,3,6,2]=>0 [4,5,1,6,2,3]=>0 [4,5,1,6,3,2]=>0 [4,5,2,1,3,6]=>0 [4,5,2,1,6,3]=>0 [4,5,2,3,1,6]=>0 [4,5,2,3,6,1]=>0 [4,5,2,6,1,3]=>0 [4,5,2,6,3,1]=>0 [4,5,3,1,2,6]=>0 [4,5,3,1,6,2]=>0 [4,5,3,2,1,6]=>0 [4,5,3,2,6,1]=>0 [4,5,3,6,1,2]=>0 [4,5,3,6,2,1]=>0 [4,5,6,1,2,3]=>0 [4,5,6,1,3,2]=>0 [4,5,6,2,1,3]=>0 [4,5,6,2,3,1]=>0 [4,5,6,3,1,2]=>0 [4,5,6,3,2,1]=>0 [4,6,1,2,3,5]=>0 [4,6,1,2,5,3]=>0 [4,6,1,3,2,5]=>0 [4,6,1,3,5,2]=>0 [4,6,1,5,2,3]=>0 [4,6,1,5,3,2]=>0 [4,6,2,1,3,5]=>0 [4,6,2,1,5,3]=>0 [4,6,2,3,1,5]=>0 [4,6,2,3,5,1]=>0 [4,6,2,5,1,3]=>0 [4,6,2,5,3,1]=>0 [4,6,3,1,2,5]=>0 [4,6,3,1,5,2]=>0 [4,6,3,2,1,5]=>0 [4,6,3,2,5,1]=>0 [4,6,3,5,1,2]=>0 [4,6,3,5,2,1]=>0 [4,6,5,1,2,3]=>0 [4,6,5,1,3,2]=>0 [4,6,5,2,1,3]=>0 [4,6,5,2,3,1]=>0 [4,6,5,3,1,2]=>0 [4,6,5,3,2,1]=>0 [5,1,2,3,4,6]=>0 [5,1,2,3,6,4]=>0 [5,1,2,4,3,6]=>0 [5,1,2,4,6,3]=>0 [5,1,2,6,3,4]=>0 [5,1,2,6,4,3]=>0 [5,1,3,2,4,6]=>0 [5,1,3,2,6,4]=>0 [5,1,3,4,2,6]=>0 [5,1,3,4,6,2]=>0 [5,1,3,6,2,4]=>0 [5,1,3,6,4,2]=>0 [5,1,4,2,3,6]=>0 [5,1,4,2,6,3]=>0 [5,1,4,3,2,6]=>0 [5,1,4,3,6,2]=>0 [5,1,4,6,2,3]=>0 [5,1,4,6,3,2]=>0 [5,1,6,2,3,4]=>0 [5,1,6,2,4,3]=>0 [5,1,6,3,2,4]=>0 [5,1,6,3,4,2]=>0 [5,1,6,4,2,3]=>0 [5,1,6,4,3,2]=>0 [5,2,1,3,4,6]=>0 [5,2,1,3,6,4]=>0 [5,2,1,4,3,6]=>0 [5,2,1,4,6,3]=>0 [5,2,1,6,3,4]=>0 [5,2,1,6,4,3]=>0 [5,2,3,1,4,6]=>0 [5,2,3,1,6,4]=>0 [5,2,3,4,1,6]=>0 [5,2,3,4,6,1]=>0 [5,2,3,6,1,4]=>0 [5,2,3,6,4,1]=>0 [5,2,4,1,3,6]=>0 [5,2,4,1,6,3]=>0 [5,2,4,3,1,6]=>0 [5,2,4,3,6,1]=>0 [5,2,4,6,1,3]=>0 [5,2,4,6,3,1]=>0 [5,2,6,1,3,4]=>0 [5,2,6,1,4,3]=>0 [5,2,6,3,1,4]=>0 [5,2,6,3,4,1]=>0 [5,2,6,4,1,3]=>0 [5,2,6,4,3,1]=>0 [5,3,1,2,4,6]=>0 [5,3,1,2,6,4]=>0 [5,3,1,4,2,6]=>0 [5,3,1,4,6,2]=>0 [5,3,1,6,2,4]=>0 [5,3,1,6,4,2]=>0 [5,3,2,1,4,6]=>0 [5,3,2,1,6,4]=>0 [5,3,2,4,1,6]=>0 [5,3,2,4,6,1]=>0 [5,3,2,6,1,4]=>0 [5,3,2,6,4,1]=>0 [5,3,4,1,2,6]=>0 [5,3,4,1,6,2]=>0 [5,3,4,2,1,6]=>0 [5,3,4,2,6,1]=>0 [5,3,4,6,1,2]=>0 [5,3,4,6,2,1]=>0 [5,3,6,1,2,4]=>0 [5,3,6,1,4,2]=>0 [5,3,6,2,1,4]=>0 [5,3,6,2,4,1]=>0 [5,3,6,4,1,2]=>0 [5,3,6,4,2,1]=>0 [5,4,1,2,3,6]=>0 [5,4,1,2,6,3]=>0 [5,4,1,3,2,6]=>0 [5,4,1,3,6,2]=>0 [5,4,1,6,2,3]=>0 [5,4,1,6,3,2]=>0 [5,4,2,1,3,6]=>0 [5,4,2,1,6,3]=>0 [5,4,2,3,1,6]=>0 [5,4,2,3,6,1]=>0 [5,4,2,6,1,3]=>0 [5,4,2,6,3,1]=>0 [5,4,3,1,2,6]=>0 [5,4,3,1,6,2]=>0 [5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>0 [5,4,3,6,1,2]=>0 [5,4,3,6,2,1]=>0 [5,4,6,1,2,3]=>0 [5,4,6,1,3,2]=>0 [5,4,6,2,1,3]=>0 [5,4,6,2,3,1]=>0 [5,4,6,3,1,2]=>0 [5,4,6,3,2,1]=>0 [5,6,1,2,3,4]=>0 [5,6,1,2,4,3]=>0 [5,6,1,3,2,4]=>0 [5,6,1,3,4,2]=>0 [5,6,1,4,2,3]=>0 [5,6,1,4,3,2]=>0 [5,6,2,1,3,4]=>0 [5,6,2,1,4,3]=>0 [5,6,2,3,1,4]=>0 [5,6,2,3,4,1]=>0 [5,6,2,4,1,3]=>0 [5,6,2,4,3,1]=>0 [5,6,3,1,2,4]=>0 [5,6,3,1,4,2]=>0 [5,6,3,2,1,4]=>0 [5,6,3,2,4,1]=>0 [5,6,3,4,1,2]=>0 [5,6,3,4,2,1]=>0 [5,6,4,1,2,3]=>0 [5,6,4,1,3,2]=>0 [5,6,4,2,1,3]=>0 [5,6,4,2,3,1]=>0 [5,6,4,3,1,2]=>0 [5,6,4,3,2,1]=>0 [6,1,2,3,4,5]=>0 [6,1,2,3,5,4]=>0 [6,1,2,4,3,5]=>0 [6,1,2,4,5,3]=>0 [6,1,2,5,3,4]=>0 [6,1,2,5,4,3]=>0 [6,1,3,2,4,5]=>0 [6,1,3,2,5,4]=>0 [6,1,3,4,2,5]=>0 [6,1,3,4,5,2]=>0 [6,1,3,5,2,4]=>0 [6,1,3,5,4,2]=>0 [6,1,4,2,3,5]=>0 [6,1,4,2,5,3]=>0 [6,1,4,3,2,5]=>0 [6,1,4,3,5,2]=>0 [6,1,4,5,2,3]=>0 [6,1,4,5,3,2]=>0 [6,1,5,2,3,4]=>0 [6,1,5,2,4,3]=>0 [6,1,5,3,2,4]=>0 [6,1,5,3,4,2]=>0 [6,1,5,4,2,3]=>0 [6,1,5,4,3,2]=>0 [6,2,1,3,4,5]=>0 [6,2,1,3,5,4]=>0 [6,2,1,4,3,5]=>0 [6,2,1,4,5,3]=>0 [6,2,1,5,3,4]=>0 [6,2,1,5,4,3]=>0 [6,2,3,1,4,5]=>0 [6,2,3,1,5,4]=>0 [6,2,3,4,1,5]=>0 [6,2,3,4,5,1]=>0 [6,2,3,5,1,4]=>0 [6,2,3,5,4,1]=>0 [6,2,4,1,3,5]=>0 [6,2,4,1,5,3]=>0 [6,2,4,3,1,5]=>0 [6,2,4,3,5,1]=>0 [6,2,4,5,1,3]=>0 [6,2,4,5,3,1]=>0 [6,2,5,1,3,4]=>0 [6,2,5,1,4,3]=>0 [6,2,5,3,1,4]=>0 [6,2,5,3,4,1]=>0 [6,2,5,4,1,3]=>0 [6,2,5,4,3,1]=>0 [6,3,1,2,4,5]=>0 [6,3,1,2,5,4]=>0 [6,3,1,4,2,5]=>0 [6,3,1,4,5,2]=>0 [6,3,1,5,2,4]=>0 [6,3,1,5,4,2]=>0 [6,3,2,1,4,5]=>0 [6,3,2,1,5,4]=>0 [6,3,2,4,1,5]=>0 [6,3,2,4,5,1]=>0 [6,3,2,5,1,4]=>0 [6,3,2,5,4,1]=>0 [6,3,4,1,2,5]=>0 [6,3,4,1,5,2]=>0 [6,3,4,2,1,5]=>0 [6,3,4,2,5,1]=>0 [6,3,4,5,1,2]=>0 [6,3,4,5,2,1]=>0 [6,3,5,1,2,4]=>0 [6,3,5,1,4,2]=>0 [6,3,5,2,1,4]=>0 [6,3,5,2,4,1]=>0 [6,3,5,4,1,2]=>0 [6,3,5,4,2,1]=>0 [6,4,1,2,3,5]=>0 [6,4,1,2,5,3]=>0 [6,4,1,3,2,5]=>0 [6,4,1,3,5,2]=>0 [6,4,1,5,2,3]=>0 [6,4,1,5,3,2]=>0 [6,4,2,1,3,5]=>0 [6,4,2,1,5,3]=>0 [6,4,2,3,1,5]=>0 [6,4,2,3,5,1]=>0 [6,4,2,5,1,3]=>0 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>0 [6,4,3,1,5,2]=>0 [6,4,3,2,1,5]=>0 [6,4,3,2,5,1]=>0 [6,4,3,5,1,2]=>0 [6,4,3,5,2,1]=>0 [6,4,5,1,2,3]=>0 [6,4,5,1,3,2]=>0 [6,4,5,2,1,3]=>0 [6,4,5,2,3,1]=>0 [6,4,5,3,1,2]=>0 [6,4,5,3,2,1]=>0 [6,5,1,2,3,4]=>0 [6,5,1,2,4,3]=>0 [6,5,1,3,2,4]=>0 [6,5,1,3,4,2]=>0 [6,5,1,4,2,3]=>0 [6,5,1,4,3,2]=>0 [6,5,2,1,3,4]=>0 [6,5,2,1,4,3]=>0 [6,5,2,3,1,4]=>0 [6,5,2,3,4,1]=>0 [6,5,2,4,1,3]=>0 [6,5,2,4,3,1]=>0 [6,5,3,1,2,4]=>0 [6,5,3,1,4,2]=>0 [6,5,3,2,1,4]=>0 [6,5,3,2,4,1]=>0 [6,5,3,4,1,2]=>0 [6,5,3,4,2,1]=>0 [6,5,4,1,2,3]=>0 [6,5,4,1,3,2]=>0 [6,5,4,2,1,3]=>0 [6,5,4,2,3,1]=>0 [6,5,4,3,1,2]=>0 [6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>64 [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]=>32 [1,2,3,4,7,6,5]=>16 [1,2,3,5,4,6,7]=>32 [1,2,3,5,4,7,6]=>16 [1,2,3,5,6,4,7]=>16 [1,2,3,5,6,7,4]=>8 [1,2,3,5,7,4,6]=>16 [1,2,3,5,7,6,4]=>8 [1,2,3,6,4,5,7]=>32 [1,2,3,6,4,7,5]=>16 [1,2,3,6,5,4,7]=>16 [1,2,3,6,5,7,4]=>8 [1,2,3,6,7,4,5]=>16 [1,2,3,6,7,5,4]=>8 [1,2,3,7,4,5,6]=>32 [1,2,3,7,4,6,5]=>16 [1,2,3,7,5,4,6]=>16 [1,2,3,7,5,6,4]=>8 [1,2,3,7,6,4,5]=>16 [1,2,3,7,6,5,4]=>8 [1,2,4,3,5,6,7]=>32 [1,2,4,3,5,7,6]=>16 [1,2,4,3,6,5,7]=>16 [1,2,4,3,6,7,5]=>8 [1,2,4,3,7,5,6]=>16 [1,2,4,3,7,6,5]=>8 [1,2,4,5,3,6,7]=>16 [1,2,4,5,3,7,6]=>8 [1,2,4,5,6,3,7]=>8 [1,2,4,5,6,7,3]=>4 [1,2,4,5,7,3,6]=>8 [1,2,4,5,7,6,3]=>4 [1,2,4,6,3,5,7]=>16 [1,2,4,6,3,7,5]=>8 [1,2,4,6,5,3,7]=>8 [1,2,4,6,5,7,3]=>4 [1,2,4,6,7,3,5]=>8 [1,2,4,6,7,5,3]=>4 [1,2,4,7,3,5,6]=>16 [1,2,4,7,3,6,5]=>8 [1,2,4,7,5,3,6]=>8 [1,2,4,7,5,6,3]=>4 [1,2,4,7,6,3,5]=>8 [1,2,4,7,6,5,3]=>4 [1,2,5,3,4,6,7]=>32 [1,2,5,3,4,7,6]=>16 [1,2,5,3,6,4,7]=>16 [1,2,5,3,6,7,4]=>8 [1,2,5,3,7,4,6]=>16 [1,2,5,3,7,6,4]=>8 [1,2,5,4,3,6,7]=>16 [1,2,5,4,3,7,6]=>8 [1,2,5,4,6,3,7]=>8 [1,2,5,4,6,7,3]=>4 [1,2,5,4,7,3,6]=>8 [1,2,5,4,7,6,3]=>4 [1,2,5,6,3,4,7]=>16 [1,2,5,6,3,7,4]=>8 [1,2,5,6,4,3,7]=>8 [1,2,5,6,4,7,3]=>4 [1,2,5,6,7,3,4]=>8 [1,2,5,6,7,4,3]=>4 [1,2,5,7,3,4,6]=>16 [1,2,5,7,3,6,4]=>8 [1,2,5,7,4,3,6]=>8 [1,2,5,7,4,6,3]=>4 [1,2,5,7,6,3,4]=>8 [1,2,5,7,6,4,3]=>4 [1,2,6,3,4,5,7]=>32 [1,2,6,3,4,7,5]=>16 [1,2,6,3,5,4,7]=>16 [1,2,6,3,5,7,4]=>8 [1,2,6,3,7,4,5]=>16 [1,2,6,3,7,5,4]=>8 [1,2,6,4,3,5,7]=>16 [1,2,6,4,3,7,5]=>8 [1,2,6,4,5,3,7]=>8 [1,2,6,4,5,7,3]=>4 [1,2,6,4,7,3,5]=>8 [1,2,6,4,7,5,3]=>4 [1,2,6,5,3,4,7]=>16 [1,2,6,5,3,7,4]=>8 [1,2,6,5,4,3,7]=>8 [1,2,6,5,4,7,3]=>4 [1,2,6,5,7,3,4]=>8 [1,2,6,5,7,4,3]=>4 [1,2,6,7,3,4,5]=>16 [1,2,6,7,3,5,4]=>8 [1,2,6,7,4,3,5]=>8 [1,2,6,7,4,5,3]=>4 [1,2,6,7,5,3,4]=>8 [1,2,6,7,5,4,3]=>4 [1,2,7,3,4,5,6]=>32 [1,2,7,3,4,6,5]=>16 [1,2,7,3,5,4,6]=>16 [1,2,7,3,5,6,4]=>8 [1,2,7,3,6,4,5]=>16 [1,2,7,3,6,5,4]=>8 [1,2,7,4,3,5,6]=>16 [1,2,7,4,3,6,5]=>8 [1,2,7,4,5,3,6]=>8 [1,2,7,4,5,6,3]=>4 [1,2,7,4,6,3,5]=>8 [1,2,7,4,6,5,3]=>4 [1,2,7,5,3,4,6]=>16 [1,2,7,5,3,6,4]=>8 [1,2,7,5,4,3,6]=>8 [1,2,7,5,4,6,3]=>4 [1,2,7,5,6,3,4]=>8 [1,2,7,5,6,4,3]=>4 [1,2,7,6,3,4,5]=>16 [1,2,7,6,3,5,4]=>8 [1,2,7,6,4,3,5]=>8 [1,2,7,6,4,5,3]=>4 [1,2,7,6,5,3,4]=>8 [1,2,7,6,5,4,3]=>4 [1,3,2,4,5,6,7]=>32 [1,3,2,4,5,7,6]=>16 [1,3,2,4,6,5,7]=>16 [1,3,2,4,6,7,5]=>8 [1,3,2,4,7,5,6]=>16 [1,3,2,4,7,6,5]=>8 [1,3,2,5,4,6,7]=>16 [1,3,2,5,4,7,6]=>8 [1,3,2,5,6,4,7]=>8 [1,3,2,5,6,7,4]=>4 [1,3,2,5,7,4,6]=>8 [1,3,2,5,7,6,4]=>4 [1,3,2,6,4,5,7]=>16 [1,3,2,6,4,7,5]=>8 [1,3,2,6,5,4,7]=>8 [1,3,2,6,5,7,4]=>4 [1,3,2,6,7,4,5]=>8 [1,3,2,6,7,5,4]=>4 [1,3,2,7,4,5,6]=>16 [1,3,2,7,4,6,5]=>8 [1,3,2,7,5,4,6]=>8 [1,3,2,7,5,6,4]=>4 [1,3,2,7,6,4,5]=>8 [1,3,2,7,6,5,4]=>4 [1,3,4,2,5,6,7]=>16 [1,3,4,2,5,7,6]=>8 [1,3,4,2,6,5,7]=>8 [1,3,4,2,6,7,5]=>4 [1,3,4,2,7,5,6]=>8 [1,3,4,2,7,6,5]=>4 [1,3,4,5,2,6,7]=>8 [1,3,4,5,2,7,6]=>4 [1,3,4,5,6,2,7]=>4 [1,3,4,5,6,7,2]=>2 [1,3,4,5,7,2,6]=>4 [1,3,4,5,7,6,2]=>2 [1,3,4,6,2,5,7]=>8 [1,3,4,6,2,7,5]=>4 [1,3,4,6,5,2,7]=>4 [1,3,4,6,5,7,2]=>2 [1,3,4,6,7,2,5]=>4 [1,3,4,6,7,5,2]=>2 [1,3,4,7,2,5,6]=>8 [1,3,4,7,2,6,5]=>4 [1,3,4,7,5,2,6]=>4 [1,3,4,7,5,6,2]=>2 [1,3,4,7,6,2,5]=>4 [1,3,4,7,6,5,2]=>2 [1,3,5,2,4,6,7]=>16 [1,3,5,2,4,7,6]=>8 [1,3,5,2,6,4,7]=>8 [1,3,5,2,6,7,4]=>4 [1,3,5,2,7,4,6]=>8 [1,3,5,2,7,6,4]=>4 [1,3,5,4,2,6,7]=>8 [1,3,5,4,2,7,6]=>4 [1,3,5,4,6,2,7]=>4 [1,3,5,4,6,7,2]=>2 [1,3,5,4,7,2,6]=>4 [1,3,5,4,7,6,2]=>2 [1,3,5,6,2,4,7]=>8 [1,3,5,6,2,7,4]=>4 [1,3,5,6,4,2,7]=>4 [1,3,5,6,4,7,2]=>2 [1,3,5,6,7,2,4]=>4 [1,3,5,6,7,4,2]=>2 [1,3,5,7,2,4,6]=>8 [1,3,5,7,2,6,4]=>4 [1,3,5,7,4,2,6]=>4 [1,3,5,7,4,6,2]=>2 [1,3,5,7,6,2,4]=>4 [1,3,5,7,6,4,2]=>2 [1,3,6,2,4,5,7]=>16 [1,3,6,2,4,7,5]=>8 [1,3,6,2,5,4,7]=>8 [1,3,6,2,5,7,4]=>4 [1,3,6,2,7,4,5]=>8 [1,3,6,2,7,5,4]=>4 [1,3,6,4,2,5,7]=>8 [1,3,6,4,2,7,5]=>4 [1,3,6,4,5,2,7]=>4 [1,3,6,4,5,7,2]=>2 [1,3,6,4,7,2,5]=>4 [1,3,6,4,7,5,2]=>2 [1,3,6,5,2,4,7]=>8 [1,3,6,5,2,7,4]=>4 [1,3,6,5,4,2,7]=>4 [1,3,6,5,4,7,2]=>2 [1,3,6,5,7,2,4]=>4 [1,3,6,5,7,4,2]=>2 [1,3,6,7,2,4,5]=>8 [1,3,6,7,2,5,4]=>4 [1,3,6,7,4,2,5]=>4 [1,3,6,7,4,5,2]=>2 [1,3,6,7,5,2,4]=>4 [1,3,6,7,5,4,2]=>2 [1,3,7,2,4,5,6]=>16 [1,3,7,2,4,6,5]=>8 [1,3,7,2,5,4,6]=>8 [1,3,7,2,5,6,4]=>4 [1,3,7,2,6,4,5]=>8 [1,3,7,2,6,5,4]=>4 [1,3,7,4,2,5,6]=>8 [1,3,7,4,2,6,5]=>4 [1,3,7,4,5,2,6]=>4 [1,3,7,4,5,6,2]=>2 [1,3,7,4,6,2,5]=>4 [1,3,7,4,6,5,2]=>2 [1,3,7,5,2,4,6]=>8 [1,3,7,5,2,6,4]=>4 [1,3,7,5,4,2,6]=>4 [1,3,7,5,4,6,2]=>2 [1,3,7,5,6,2,4]=>4 [1,3,7,5,6,4,2]=>2 [1,3,7,6,2,4,5]=>8 [1,3,7,6,2,5,4]=>4 [1,3,7,6,4,2,5]=>4 [1,3,7,6,4,5,2]=>2 [1,3,7,6,5,2,4]=>4 [1,3,7,6,5,4,2]=>2 [1,4,2,3,5,6,7]=>32 [1,4,2,3,5,7,6]=>16 [1,4,2,3,6,5,7]=>16 [1,4,2,3,6,7,5]=>8 [1,4,2,3,7,5,6]=>16 [1,4,2,3,7,6,5]=>8 [1,4,2,5,3,6,7]=>16 [1,4,2,5,3,7,6]=>8 [1,4,2,5,6,3,7]=>8 [1,4,2,5,6,7,3]=>4 [1,4,2,5,7,3,6]=>8 [1,4,2,5,7,6,3]=>4 [1,4,2,6,3,5,7]=>16 [1,4,2,6,3,7,5]=>8 [1,4,2,6,5,3,7]=>8 [1,4,2,6,5,7,3]=>4 [1,4,2,6,7,3,5]=>8 [1,4,2,6,7,5,3]=>4 [1,4,2,7,3,5,6]=>16 [1,4,2,7,3,6,5]=>8 [1,4,2,7,5,3,6]=>8 [1,4,2,7,5,6,3]=>4 [1,4,2,7,6,3,5]=>8 [1,4,2,7,6,5,3]=>4 [1,4,3,2,5,6,7]=>16 [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]=>8 [1,4,3,2,7,6,5]=>4 [1,4,3,5,2,6,7]=>8 [1,4,3,5,2,7,6]=>4 [1,4,3,5,6,2,7]=>4 [1,4,3,5,6,7,2]=>2 [1,4,3,5,7,2,6]=>4 [1,4,3,5,7,6,2]=>2 [1,4,3,6,2,5,7]=>8 [1,4,3,6,2,7,5]=>4 [1,4,3,6,5,2,7]=>4 [1,4,3,6,5,7,2]=>2 [1,4,3,6,7,2,5]=>4 [1,4,3,6,7,5,2]=>2 [1,4,3,7,2,5,6]=>8 [1,4,3,7,2,6,5]=>4 [1,4,3,7,5,2,6]=>4 [1,4,3,7,5,6,2]=>2 [1,4,3,7,6,2,5]=>4 [1,4,3,7,6,5,2]=>2 [1,4,5,2,3,6,7]=>16 [1,4,5,2,3,7,6]=>8 [1,4,5,2,6,3,7]=>8 [1,4,5,2,6,7,3]=>4 [1,4,5,2,7,3,6]=>8 [1,4,5,2,7,6,3]=>4 [1,4,5,3,2,6,7]=>8 [1,4,5,3,2,7,6]=>4 [1,4,5,3,6,2,7]=>4 [1,4,5,3,6,7,2]=>2 [1,4,5,3,7,2,6]=>4 [1,4,5,3,7,6,2]=>2 [1,4,5,6,2,3,7]=>8 [1,4,5,6,2,7,3]=>4 [1,4,5,6,3,2,7]=>4 [1,4,5,6,3,7,2]=>2 [1,4,5,6,7,2,3]=>4 [1,4,5,6,7,3,2]=>2 [1,4,5,7,2,3,6]=>8 [1,4,5,7,2,6,3]=>4 [1,4,5,7,3,2,6]=>4 [1,4,5,7,3,6,2]=>2 [1,4,5,7,6,2,3]=>4 [1,4,5,7,6,3,2]=>2 [1,4,6,2,3,5,7]=>16 [1,4,6,2,3,7,5]=>8 [1,4,6,2,5,3,7]=>8 [1,4,6,2,5,7,3]=>4 [1,4,6,2,7,3,5]=>8 [1,4,6,2,7,5,3]=>4 [1,4,6,3,2,5,7]=>8 [1,4,6,3,2,7,5]=>4 [1,4,6,3,5,2,7]=>4 [1,4,6,3,5,7,2]=>2 [1,4,6,3,7,2,5]=>4 [1,4,6,3,7,5,2]=>2 [1,4,6,5,2,3,7]=>8 [1,4,6,5,2,7,3]=>4 [1,4,6,5,3,2,7]=>4 [1,4,6,5,3,7,2]=>2
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Description
The size of the preimage of the map 'cycle-as-one-line notation' from Permutations to Permutations.
Code
def cycle_to_one_line(pi):
    return Permutation(sum([list(t) for t in pi.cycle_tuples()],[]))
@cached_function
def preimages(level):
    print "computing preimages for level", level
    result = dict()
    for el in Permutations(level):
        image = cycle_to_one_line(el)
        result[image] = result.get(image, 0) + 1
    return result

def statistic(x):
    return preimages(x.size()).get(x, 0)

Created
Sep 11, 2015 at 22:54 by Martin Rubey
Updated
Sep 11, 2015 at 22:54 by Martin Rubey