edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>2 [2,1]=>2 [1,2,3]=>3 [1,3,2]=>5 [2,1,3]=>3 [2,3,1]=>5 [3,1,2]=>3 [3,2,1]=>3 [1,2,3,4]=>4 [1,2,4,3]=>6 [1,3,2,4]=>6 [1,3,4,2]=>8 [1,4,2,3]=>8 [1,4,3,2]=>8 [2,1,3,4]=>4 [2,1,4,3]=>6 [2,3,1,4]=>6 [2,3,4,1]=>8 [2,4,1,3]=>6 [2,4,3,1]=>8 [3,1,2,4]=>4 [3,1,4,2]=>6 [3,2,1,4]=>4 [3,2,4,1]=>8 [3,4,1,2]=>6 [3,4,2,1]=>6 [4,1,2,3]=>4 [4,1,3,2]=>6 [4,2,1,3]=>4 [4,2,3,1]=>6 [4,3,1,2]=>4 [4,3,2,1]=>4 [1,2,3,4,5]=>5 [1,2,3,5,4]=>7 [1,2,4,3,5]=>7 [1,2,4,5,3]=>9 [1,2,5,3,4]=>9 [1,2,5,4,3]=>9 [1,3,2,4,5]=>7 [1,3,2,5,4]=>9 [1,3,4,2,5]=>9 [1,3,4,5,2]=>11 [1,3,5,2,4]=>9 [1,3,5,4,2]=>11 [1,4,2,3,5]=>9 [1,4,2,5,3]=>11 [1,4,3,2,5]=>9 [1,4,3,5,2]=>13 [1,4,5,2,3]=>11 [1,4,5,3,2]=>11 [1,5,2,3,4]=>11 [1,5,2,4,3]=>13 [1,5,3,2,4]=>11 [1,5,3,4,2]=>13 [1,5,4,2,3]=>11 [1,5,4,3,2]=>11 [2,1,3,4,5]=>5 [2,1,3,5,4]=>7 [2,1,4,3,5]=>7 [2,1,4,5,3]=>9 [2,1,5,3,4]=>9 [2,1,5,4,3]=>9 [2,3,1,4,5]=>7 [2,3,1,5,4]=>9 [2,3,4,1,5]=>9 [2,3,4,5,1]=>11 [2,3,5,1,4]=>9 [2,3,5,4,1]=>11 [2,4,1,3,5]=>7 [2,4,1,5,3]=>11 [2,4,3,1,5]=>9 [2,4,3,5,1]=>13 [2,4,5,1,3]=>9 [2,4,5,3,1]=>11 [2,5,1,3,4]=>9 [2,5,1,4,3]=>11 [2,5,3,1,4]=>9 [2,5,3,4,1]=>13 [2,5,4,1,3]=>9 [2,5,4,3,1]=>11 [3,1,2,4,5]=>5 [3,1,2,5,4]=>7 [3,1,4,2,5]=>7 [3,1,4,5,2]=>9 [3,1,5,2,4]=>9 [3,1,5,4,2]=>9 [3,2,1,4,5]=>5 [3,2,1,5,4]=>7 [3,2,4,1,5]=>9 [3,2,4,5,1]=>11 [3,2,5,1,4]=>9 [3,2,5,4,1]=>11 [3,4,1,2,5]=>7 [3,4,1,5,2]=>11 [3,4,2,1,5]=>7 [3,4,2,5,1]=>13 [3,4,5,1,2]=>9 [3,4,5,2,1]=>9 [3,5,1,2,4]=>7 [3,5,1,4,2]=>11 [3,5,2,1,4]=>7 [3,5,2,4,1]=>11 [3,5,4,1,2]=>9 [3,5,4,2,1]=>9 [4,1,2,3,5]=>5 [4,1,2,5,3]=>7 [4,1,3,2,5]=>7 [4,1,3,5,2]=>9 [4,1,5,2,3]=>9 [4,1,5,3,2]=>9 [4,2,1,3,5]=>5 [4,2,1,5,3]=>7 [4,2,3,1,5]=>7 [4,2,3,5,1]=>11 [4,2,5,1,3]=>9 [4,2,5,3,1]=>9 [4,3,1,2,5]=>5 [4,3,1,5,2]=>9 [4,3,2,1,5]=>5 [4,3,2,5,1]=>11 [4,3,5,1,2]=>9 [4,3,5,2,1]=>9 [4,5,1,2,3]=>7 [4,5,1,3,2]=>9 [4,5,2,1,3]=>7 [4,5,2,3,1]=>9 [4,5,3,1,2]=>7 [4,5,3,2,1]=>7 [5,1,2,3,4]=>5 [5,1,2,4,3]=>7 [5,1,3,2,4]=>7 [5,1,3,4,2]=>9 [5,1,4,2,3]=>9 [5,1,4,3,2]=>9 [5,2,1,3,4]=>5 [5,2,1,4,3]=>7 [5,2,3,1,4]=>7 [5,2,3,4,1]=>9 [5,2,4,1,3]=>7 [5,2,4,3,1]=>9 [5,3,1,2,4]=>5 [5,3,1,4,2]=>7 [5,3,2,1,4]=>5 [5,3,2,4,1]=>9 [5,3,4,1,2]=>7 [5,3,4,2,1]=>7 [5,4,1,2,3]=>5 [5,4,1,3,2]=>7 [5,4,2,1,3]=>5 [5,4,2,3,1]=>7 [5,4,3,1,2]=>5 [5,4,3,2,1]=>5 [1,2,3,4,5,6]=>6 [1,2,3,4,6,5]=>8 [1,2,3,5,4,6]=>8 [1,2,3,5,6,4]=>10 [1,2,3,6,4,5]=>10 [1,2,3,6,5,4]=>10 [1,2,4,3,5,6]=>8 [1,2,4,3,6,5]=>10 [1,2,4,5,3,6]=>10 [1,2,4,5,6,3]=>12 [1,2,4,6,3,5]=>10 [1,2,4,6,5,3]=>12 [1,2,5,3,4,6]=>10 [1,2,5,3,6,4]=>12 [1,2,5,4,3,6]=>10 [1,2,5,4,6,3]=>14 [1,2,5,6,3,4]=>12 [1,2,5,6,4,3]=>12 [1,2,6,3,4,5]=>12 [1,2,6,3,5,4]=>14 [1,2,6,4,3,5]=>12 [1,2,6,4,5,3]=>14 [1,2,6,5,3,4]=>12 [1,2,6,5,4,3]=>12 [1,3,2,4,5,6]=>8 [1,3,2,4,6,5]=>10 [1,3,2,5,4,6]=>10 [1,3,2,5,6,4]=>12 [1,3,2,6,4,5]=>12 [1,3,2,6,5,4]=>12 [1,3,4,2,5,6]=>10 [1,3,4,2,6,5]=>12 [1,3,4,5,2,6]=>12 [1,3,4,5,6,2]=>14 [1,3,4,6,2,5]=>12 [1,3,4,6,5,2]=>14 [1,3,5,2,4,6]=>10 [1,3,5,2,6,4]=>14 [1,3,5,4,2,6]=>12 [1,3,5,4,6,2]=>16 [1,3,5,6,2,4]=>12 [1,3,5,6,4,2]=>14 [1,3,6,2,4,5]=>12 [1,3,6,2,5,4]=>14 [1,3,6,4,2,5]=>12 [1,3,6,4,5,2]=>16 [1,3,6,5,2,4]=>12 [1,3,6,5,4,2]=>14 [1,4,2,3,5,6]=>10 [1,4,2,3,6,5]=>12 [1,4,2,5,3,6]=>12 [1,4,2,5,6,3]=>14 [1,4,2,6,3,5]=>14 [1,4,2,6,5,3]=>14 [1,4,3,2,5,6]=>10 [1,4,3,2,6,5]=>12 [1,4,3,5,2,6]=>14 [1,4,3,5,6,2]=>16 [1,4,3,6,2,5]=>14 [1,4,3,6,5,2]=>16 [1,4,5,2,3,6]=>12 [1,4,5,2,6,3]=>16 [1,4,5,3,2,6]=>12 [1,4,5,3,6,2]=>18 [1,4,5,6,2,3]=>14 [1,4,5,6,3,2]=>14 [1,4,6,2,3,5]=>12 [1,4,6,2,5,3]=>16 [1,4,6,3,2,5]=>12 [1,4,6,3,5,2]=>16 [1,4,6,5,2,3]=>14 [1,4,6,5,3,2]=>14 [1,5,2,3,4,6]=>12 [1,5,2,3,6,4]=>14 [1,5,2,4,3,6]=>14 [1,5,2,4,6,3]=>16 [1,5,2,6,3,4]=>16 [1,5,2,6,4,3]=>16 [1,5,3,2,4,6]=>12 [1,5,3,2,6,4]=>14 [1,5,3,4,2,6]=>14 [1,5,3,4,6,2]=>18 [1,5,3,6,2,4]=>16 [1,5,3,6,4,2]=>16 [1,5,4,2,3,6]=>12 [1,5,4,2,6,3]=>16 [1,5,4,3,2,6]=>12 [1,5,4,3,6,2]=>18 [1,5,4,6,2,3]=>16 [1,5,4,6,3,2]=>16 [1,5,6,2,3,4]=>14 [1,5,6,2,4,3]=>16 [1,5,6,3,2,4]=>14 [1,5,6,3,4,2]=>16 [1,5,6,4,2,3]=>14 [1,5,6,4,3,2]=>14 [1,6,2,3,4,5]=>14 [1,6,2,3,5,4]=>16 [1,6,2,4,3,5]=>16 [1,6,2,4,5,3]=>18 [1,6,2,5,3,4]=>18 [1,6,2,5,4,3]=>18 [1,6,3,2,4,5]=>14 [1,6,3,2,5,4]=>16 [1,6,3,4,2,5]=>16 [1,6,3,4,5,2]=>18 [1,6,3,5,2,4]=>16 [1,6,3,5,4,2]=>18 [1,6,4,2,3,5]=>14 [1,6,4,2,5,3]=>16 [1,6,4,3,2,5]=>14 [1,6,4,3,5,2]=>18 [1,6,4,5,2,3]=>16 [1,6,4,5,3,2]=>16 [1,6,5,2,3,4]=>14 [1,6,5,2,4,3]=>16 [1,6,5,3,2,4]=>14 [1,6,5,3,4,2]=>16 [1,6,5,4,2,3]=>14 [1,6,5,4,3,2]=>14 [2,1,3,4,5,6]=>6 [2,1,3,4,6,5]=>8 [2,1,3,5,4,6]=>8 [2,1,3,5,6,4]=>10 [2,1,3,6,4,5]=>10 [2,1,3,6,5,4]=>10 [2,1,4,3,5,6]=>8 [2,1,4,3,6,5]=>10 [2,1,4,5,3,6]=>10 [2,1,4,5,6,3]=>12 [2,1,4,6,3,5]=>10 [2,1,4,6,5,3]=>12 [2,1,5,3,4,6]=>10 [2,1,5,3,6,4]=>12 [2,1,5,4,3,6]=>10 [2,1,5,4,6,3]=>14 [2,1,5,6,3,4]=>12 [2,1,5,6,4,3]=>12 [2,1,6,3,4,5]=>12 [2,1,6,3,5,4]=>14 [2,1,6,4,3,5]=>12 [2,1,6,4,5,3]=>14 [2,1,6,5,3,4]=>12 [2,1,6,5,4,3]=>12 [2,3,1,4,5,6]=>8 [2,3,1,4,6,5]=>10 [2,3,1,5,4,6]=>10 [2,3,1,5,6,4]=>12 [2,3,1,6,4,5]=>12 [2,3,1,6,5,4]=>12 [2,3,4,1,5,6]=>10 [2,3,4,1,6,5]=>12 [2,3,4,5,1,6]=>12 [2,3,4,5,6,1]=>14 [2,3,4,6,1,5]=>12 [2,3,4,6,5,1]=>14 [2,3,5,1,4,6]=>10 [2,3,5,1,6,4]=>14 [2,3,5,4,1,6]=>12 [2,3,5,4,6,1]=>16 [2,3,5,6,1,4]=>12 [2,3,5,6,4,1]=>14 [2,3,6,1,4,5]=>12 [2,3,6,1,5,4]=>14 [2,3,6,4,1,5]=>12 [2,3,6,4,5,1]=>16 [2,3,6,5,1,4]=>12 [2,3,6,5,4,1]=>14 [2,4,1,3,5,6]=>8 [2,4,1,3,6,5]=>10 [2,4,1,5,3,6]=>12 [2,4,1,5,6,3]=>14 [2,4,1,6,3,5]=>14 [2,4,1,6,5,3]=>14 [2,4,3,1,5,6]=>10 [2,4,3,1,6,5]=>12 [2,4,3,5,1,6]=>14 [2,4,3,5,6,1]=>16 [2,4,3,6,1,5]=>14 [2,4,3,6,5,1]=>16 [2,4,5,1,3,6]=>10 [2,4,5,1,6,3]=>16 [2,4,5,3,1,6]=>12 [2,4,5,3,6,1]=>18 [2,4,5,6,1,3]=>12 [2,4,5,6,3,1]=>14 [2,4,6,1,3,5]=>10 [2,4,6,1,5,3]=>16 [2,4,6,3,1,5]=>12 [2,4,6,3,5,1]=>16 [2,4,6,5,1,3]=>12 [2,4,6,5,3,1]=>14 [2,5,1,3,4,6]=>10 [2,5,1,3,6,4]=>12 [2,5,1,4,3,6]=>12 [2,5,1,4,6,3]=>14 [2,5,1,6,3,4]=>16 [2,5,1,6,4,3]=>16 [2,5,3,1,4,6]=>10 [2,5,3,1,6,4]=>14 [2,5,3,4,1,6]=>14 [2,5,3,4,6,1]=>18 [2,5,3,6,1,4]=>14 [2,5,3,6,4,1]=>16 [2,5,4,1,3,6]=>10 [2,5,4,1,6,3]=>16 [2,5,4,3,1,6]=>12 [2,5,4,3,6,1]=>18 [2,5,4,6,1,3]=>14 [2,5,4,6,3,1]=>16 [2,5,6,1,3,4]=>12 [2,5,6,1,4,3]=>14 [2,5,6,3,1,4]=>12 [2,5,6,3,4,1]=>16 [2,5,6,4,1,3]=>12 [2,5,6,4,3,1]=>14 [2,6,1,3,4,5]=>12 [2,6,1,3,5,4]=>14 [2,6,1,4,3,5]=>14 [2,6,1,4,5,3]=>16 [2,6,1,5,3,4]=>16 [2,6,1,5,4,3]=>16 [2,6,3,1,4,5]=>12 [2,6,3,1,5,4]=>14 [2,6,3,4,1,5]=>14 [2,6,3,4,5,1]=>18 [2,6,3,5,1,4]=>14 [2,6,3,5,4,1]=>18 [2,6,4,1,3,5]=>12 [2,6,4,1,5,3]=>14 [2,6,4,3,1,5]=>12 [2,6,4,3,5,1]=>18 [2,6,4,5,1,3]=>14 [2,6,4,5,3,1]=>16 [2,6,5,1,3,4]=>12 [2,6,5,1,4,3]=>14 [2,6,5,3,1,4]=>12 [2,6,5,3,4,1]=>16 [2,6,5,4,1,3]=>12 [2,6,5,4,3,1]=>14 [3,1,2,4,5,6]=>6 [3,1,2,4,6,5]=>8 [3,1,2,5,4,6]=>8 [3,1,2,5,6,4]=>10 [3,1,2,6,4,5]=>10 [3,1,2,6,5,4]=>10 [3,1,4,2,5,6]=>8 [3,1,4,2,6,5]=>10 [3,1,4,5,2,6]=>10 [3,1,4,5,6,2]=>12 [3,1,4,6,2,5]=>10 [3,1,4,6,5,2]=>12 [3,1,5,2,4,6]=>10 [3,1,5,2,6,4]=>12 [3,1,5,4,2,6]=>10 [3,1,5,4,6,2]=>14 [3,1,5,6,2,4]=>12 [3,1,5,6,4,2]=>12 [3,1,6,2,4,5]=>12 [3,1,6,2,5,4]=>14 [3,1,6,4,2,5]=>12 [3,1,6,4,5,2]=>14 [3,1,6,5,2,4]=>12 [3,1,6,5,4,2]=>12 [3,2,1,4,5,6]=>6 [3,2,1,4,6,5]=>8 [3,2,1,5,4,6]=>8 [3,2,1,5,6,4]=>10 [3,2,1,6,4,5]=>10 [3,2,1,6,5,4]=>10 [3,2,4,1,5,6]=>10 [3,2,4,1,6,5]=>12 [3,2,4,5,1,6]=>12 [3,2,4,5,6,1]=>14 [3,2,4,6,1,5]=>12 [3,2,4,6,5,1]=>14 [3,2,5,1,4,6]=>10 [3,2,5,1,6,4]=>14 [3,2,5,4,1,6]=>12 [3,2,5,4,6,1]=>16 [3,2,5,6,1,4]=>12 [3,2,5,6,4,1]=>14 [3,2,6,1,4,5]=>12 [3,2,6,1,5,4]=>14 [3,2,6,4,1,5]=>12 [3,2,6,4,5,1]=>16 [3,2,6,5,1,4]=>12 [3,2,6,5,4,1]=>14 [3,4,1,2,5,6]=>8 [3,4,1,2,6,5]=>10 [3,4,1,5,2,6]=>12 [3,4,1,5,6,2]=>14 [3,4,1,6,2,5]=>14 [3,4,1,6,5,2]=>14 [3,4,2,1,5,6]=>8 [3,4,2,1,6,5]=>10 [3,4,2,5,1,6]=>14 [3,4,2,5,6,1]=>16 [3,4,2,6,1,5]=>14 [3,4,2,6,5,1]=>16 [3,4,5,1,2,6]=>10 [3,4,5,1,6,2]=>16 [3,4,5,2,1,6]=>10 [3,4,5,2,6,1]=>18 [3,4,5,6,1,2]=>12 [3,4,5,6,2,1]=>12 [3,4,6,1,2,5]=>10 [3,4,6,1,5,2]=>16 [3,4,6,2,1,5]=>10 [3,4,6,2,5,1]=>16 [3,4,6,5,1,2]=>12 [3,4,6,5,2,1]=>12 [3,5,1,2,4,6]=>8 [3,5,1,2,6,4]=>12 [3,5,1,4,2,6]=>12 [3,5,1,4,6,2]=>14 [3,5,1,6,2,4]=>14 [3,5,1,6,4,2]=>16 [3,5,2,1,4,6]=>8 [3,5,2,1,6,4]=>12 [3,5,2,4,1,6]=>12 [3,5,2,4,6,1]=>16 [3,5,2,6,1,4]=>14 [3,5,2,6,4,1]=>16 [3,5,4,1,2,6]=>10 [3,5,4,1,6,2]=>16 [3,5,4,2,1,6]=>10 [3,5,4,2,6,1]=>18 [3,5,4,6,1,2]=>14 [3,5,4,6,2,1]=>14 [3,5,6,1,2,4]=>10 [3,5,6,1,4,2]=>14 [3,5,6,2,1,4]=>10 [3,5,6,2,4,1]=>14 [3,5,6,4,1,2]=>12 [3,5,6,4,2,1]=>12 [3,6,1,2,4,5]=>10 [3,6,1,2,5,4]=>12 [3,6,1,4,2,5]=>12 [3,6,1,4,5,2]=>16 [3,6,1,5,2,4]=>14 [3,6,1,5,4,2]=>16 [3,6,2,1,4,5]=>10 [3,6,2,1,5,4]=>12 [3,6,2,4,1,5]=>12 [3,6,2,4,5,1]=>16 [3,6,2,5,1,4]=>12 [3,6,2,5,4,1]=>16 [3,6,4,1,2,5]=>10 [3,6,4,1,5,2]=>14 [3,6,4,2,1,5]=>10 [3,6,4,2,5,1]=>16 [3,6,4,5,1,2]=>14 [3,6,4,5,2,1]=>14 [3,6,5,1,2,4]=>10 [3,6,5,1,4,2]=>14 [3,6,5,2,1,4]=>10 [3,6,5,2,4,1]=>14 [3,6,5,4,1,2]=>12 [3,6,5,4,2,1]=>12 [4,1,2,3,5,6]=>6 [4,1,2,3,6,5]=>8 [4,1,2,5,3,6]=>8 [4,1,2,5,6,3]=>10 [4,1,2,6,3,5]=>10 [4,1,2,6,5,3]=>10 [4,1,3,2,5,6]=>8 [4,1,3,2,6,5]=>10 [4,1,3,5,2,6]=>10 [4,1,3,5,6,2]=>12 [4,1,3,6,2,5]=>10 [4,1,3,6,5,2]=>12 [4,1,5,2,3,6]=>10 [4,1,5,2,6,3]=>12 [4,1,5,3,2,6]=>10 [4,1,5,3,6,2]=>14 [4,1,5,6,2,3]=>12 [4,1,5,6,3,2]=>12 [4,1,6,2,3,5]=>12 [4,1,6,2,5,3]=>14 [4,1,6,3,2,5]=>12 [4,1,6,3,5,2]=>14 [4,1,6,5,2,3]=>12 [4,1,6,5,3,2]=>12 [4,2,1,3,5,6]=>6 [4,2,1,3,6,5]=>8 [4,2,1,5,3,6]=>8 [4,2,1,5,6,3]=>10 [4,2,1,6,3,5]=>10 [4,2,1,6,5,3]=>10 [4,2,3,1,5,6]=>8 [4,2,3,1,6,5]=>10 [4,2,3,5,1,6]=>12 [4,2,3,5,6,1]=>14 [4,2,3,6,1,5]=>12 [4,2,3,6,5,1]=>14 [4,2,5,1,3,6]=>10 [4,2,5,1,6,3]=>14 [4,2,5,3,1,6]=>10 [4,2,5,3,6,1]=>16 [4,2,5,6,1,3]=>12 [4,2,5,6,3,1]=>12 [4,2,6,1,3,5]=>12 [4,2,6,1,5,3]=>14 [4,2,6,3,1,5]=>10 [4,2,6,3,5,1]=>16 [4,2,6,5,1,3]=>12 [4,2,6,5,3,1]=>12 [4,3,1,2,5,6]=>6 [4,3,1,2,6,5]=>8 [4,3,1,5,2,6]=>10 [4,3,1,5,6,2]=>12 [4,3,1,6,2,5]=>12 [4,3,1,6,5,2]=>12 [4,3,2,1,5,6]=>6 [4,3,2,1,6,5]=>8 [4,3,2,5,1,6]=>12 [4,3,2,5,6,1]=>14 [4,3,2,6,1,5]=>12 [4,3,2,6,5,1]=>14 [4,3,5,1,2,6]=>10 [4,3,5,1,6,2]=>16 [4,3,5,2,1,6]=>10 [4,3,5,2,6,1]=>18 [4,3,5,6,1,2]=>12 [4,3,5,6,2,1]=>12 [4,3,6,1,2,5]=>10 [4,3,6,1,5,2]=>16 [4,3,6,2,1,5]=>10 [4,3,6,2,5,1]=>16 [4,3,6,5,1,2]=>12 [4,3,6,5,2,1]=>12 [4,5,1,2,3,6]=>8 [4,5,1,2,6,3]=>12 [4,5,1,3,2,6]=>10 [4,5,1,3,6,2]=>14 [4,5,1,6,2,3]=>14 [4,5,1,6,3,2]=>14 [4,5,2,1,3,6]=>8 [4,5,2,1,6,3]=>12 [4,5,2,3,1,6]=>10 [4,5,2,3,6,1]=>16 [4,5,2,6,1,3]=>14 [4,5,2,6,3,1]=>14 [4,5,3,1,2,6]=>8 [4,5,3,1,6,2]=>14 [4,5,3,2,1,6]=>8 [4,5,3,2,6,1]=>16 [4,5,3,6,1,2]=>14 [4,5,3,6,2,1]=>14 [4,5,6,1,2,3]=>10 [4,5,6,1,3,2]=>12 [4,5,6,2,1,3]=>10 [4,5,6,2,3,1]=>12 [4,5,6,3,1,2]=>10 [4,5,6,3,2,1]=>10 [4,6,1,2,3,5]=>8 [4,6,1,2,5,3]=>12 [4,6,1,3,2,5]=>10 [4,6,1,3,5,2]=>14 [4,6,1,5,2,3]=>14 [4,6,1,5,3,2]=>14 [4,6,2,1,3,5]=>8 [4,6,2,1,5,3]=>12 [4,6,2,3,1,5]=>10 [4,6,2,3,5,1]=>14 [4,6,2,5,1,3]=>12 [4,6,2,5,3,1]=>14 [4,6,3,1,2,5]=>8 [4,6,3,1,5,2]=>12 [4,6,3,2,1,5]=>8 [4,6,3,2,5,1]=>14 [4,6,3,5,1,2]=>12 [4,6,3,5,2,1]=>12 [4,6,5,1,2,3]=>10 [4,6,5,1,3,2]=>12 [4,6,5,2,1,3]=>10 [4,6,5,2,3,1]=>12 [4,6,5,3,1,2]=>10 [4,6,5,3,2,1]=>10 [5,1,2,3,4,6]=>6 [5,1,2,3,6,4]=>8 [5,1,2,4,3,6]=>8 [5,1,2,4,6,3]=>10 [5,1,2,6,3,4]=>10 [5,1,2,6,4,3]=>10 [5,1,3,2,4,6]=>8 [5,1,3,2,6,4]=>10 [5,1,3,4,2,6]=>10 [5,1,3,4,6,2]=>12 [5,1,3,6,2,4]=>10 [5,1,3,6,4,2]=>12 [5,1,4,2,3,6]=>10 [5,1,4,2,6,3]=>12 [5,1,4,3,2,6]=>10 [5,1,4,3,6,2]=>14 [5,1,4,6,2,3]=>12 [5,1,4,6,3,2]=>12 [5,1,6,2,3,4]=>12 [5,1,6,2,4,3]=>14 [5,1,6,3,2,4]=>12 [5,1,6,3,4,2]=>14 [5,1,6,4,2,3]=>12 [5,1,6,4,3,2]=>12 [5,2,1,3,4,6]=>6 [5,2,1,3,6,4]=>8 [5,2,1,4,3,6]=>8 [5,2,1,4,6,3]=>10 [5,2,1,6,3,4]=>10 [5,2,1,6,4,3]=>10 [5,2,3,1,4,6]=>8 [5,2,3,1,6,4]=>10 [5,2,3,4,1,6]=>10 [5,2,3,4,6,1]=>14 [5,2,3,6,1,4]=>12 [5,2,3,6,4,1]=>12 [5,2,4,1,3,6]=>8 [5,2,4,1,6,3]=>12 [5,2,4,3,1,6]=>10 [5,2,4,3,6,1]=>16 [5,2,4,6,1,3]=>12 [5,2,4,6,3,1]=>12 [5,2,6,1,3,4]=>12 [5,2,6,1,4,3]=>14 [5,2,6,3,1,4]=>10 [5,2,6,3,4,1]=>14 [5,2,6,4,1,3]=>10 [5,2,6,4,3,1]=>12 [5,3,1,2,4,6]=>6 [5,3,1,2,6,4]=>8 [5,3,1,4,2,6]=>8 [5,3,1,4,6,2]=>12 [5,3,1,6,2,4]=>12 [5,3,1,6,4,2]=>10 [5,3,2,1,4,6]=>6 [5,3,2,1,6,4]=>8 [5,3,2,4,1,6]=>10 [5,3,2,4,6,1]=>14 [5,3,2,6,1,4]=>12 [5,3,2,6,4,1]=>12 [5,3,4,1,2,6]=>8 [5,3,4,1,6,2]=>14 [5,3,4,2,1,6]=>8 [5,3,4,2,6,1]=>16 [5,3,4,6,1,2]=>12 [5,3,4,6,2,1]=>12 [5,3,6,1,2,4]=>10 [5,3,6,1,4,2]=>14 [5,3,6,2,1,4]=>10 [5,3,6,2,4,1]=>14 [5,3,6,4,1,2]=>10 [5,3,6,4,2,1]=>10 [5,4,1,2,3,6]=>6 [5,4,1,2,6,3]=>10 [5,4,1,3,2,6]=>8 [5,4,1,3,6,2]=>12 [5,4,1,6,2,3]=>12 [5,4,1,6,3,2]=>12 [5,4,2,1,3,6]=>6 [5,4,2,1,6,3]=>10 [5,4,2,3,1,6]=>8 [5,4,2,3,6,1]=>14 [5,4,2,6,1,3]=>12 [5,4,2,6,3,1]=>12 [5,4,3,1,2,6]=>6 [5,4,3,1,6,2]=>12 [5,4,3,2,1,6]=>6 [5,4,3,2,6,1]=>14 [5,4,3,6,1,2]=>12 [5,4,3,6,2,1]=>12 [5,4,6,1,2,3]=>10 [5,4,6,1,3,2]=>12 [5,4,6,2,1,3]=>10 [5,4,6,2,3,1]=>12 [5,4,6,3,1,2]=>10 [5,4,6,3,2,1]=>10 [5,6,1,2,3,4]=>8 [5,6,1,2,4,3]=>10 [5,6,1,3,2,4]=>10 [5,6,1,3,4,2]=>12 [5,6,1,4,2,3]=>12 [5,6,1,4,3,2]=>12 [5,6,2,1,3,4]=>8 [5,6,2,1,4,3]=>10 [5,6,2,3,1,4]=>10 [5,6,2,3,4,1]=>12 [5,6,2,4,1,3]=>10 [5,6,2,4,3,1]=>12 [5,6,3,1,2,4]=>8 [5,6,3,1,4,2]=>10 [5,6,3,2,1,4]=>8 [5,6,3,2,4,1]=>12 [5,6,3,4,1,2]=>10 [5,6,3,4,2,1]=>10 [5,6,4,1,2,3]=>8 [5,6,4,1,3,2]=>10 [5,6,4,2,1,3]=>8 [5,6,4,2,3,1]=>10 [5,6,4,3,1,2]=>8 [5,6,4,3,2,1]=>8 [6,1,2,3,4,5]=>6 [6,1,2,3,5,4]=>8 [6,1,2,4,3,5]=>8 [6,1,2,4,5,3]=>10 [6,1,2,5,3,4]=>10 [6,1,2,5,4,3]=>10 [6,1,3,2,4,5]=>8 [6,1,3,2,5,4]=>10 [6,1,3,4,2,5]=>10 [6,1,3,4,5,2]=>12 [6,1,3,5,2,4]=>10 [6,1,3,5,4,2]=>12 [6,1,4,2,3,5]=>10 [6,1,4,2,5,3]=>12 [6,1,4,3,2,5]=>10 [6,1,4,3,5,2]=>14 [6,1,4,5,2,3]=>12 [6,1,4,5,3,2]=>12 [6,1,5,2,3,4]=>12 [6,1,5,2,4,3]=>14 [6,1,5,3,2,4]=>12 [6,1,5,3,4,2]=>14 [6,1,5,4,2,3]=>12 [6,1,5,4,3,2]=>12 [6,2,1,3,4,5]=>6 [6,2,1,3,5,4]=>8 [6,2,1,4,3,5]=>8 [6,2,1,4,5,3]=>10 [6,2,1,5,3,4]=>10 [6,2,1,5,4,3]=>10 [6,2,3,1,4,5]=>8 [6,2,3,1,5,4]=>10 [6,2,3,4,1,5]=>10 [6,2,3,4,5,1]=>12 [6,2,3,5,1,4]=>10 [6,2,3,5,4,1]=>12 [6,2,4,1,3,5]=>8 [6,2,4,1,5,3]=>12 [6,2,4,3,1,5]=>10 [6,2,4,3,5,1]=>14 [6,2,4,5,1,3]=>10 [6,2,4,5,3,1]=>12 [6,2,5,1,3,4]=>10 [6,2,5,1,4,3]=>12 [6,2,5,3,1,4]=>10 [6,2,5,3,4,1]=>14 [6,2,5,4,1,3]=>10 [6,2,5,4,3,1]=>12 [6,3,1,2,4,5]=>6 [6,3,1,2,5,4]=>8 [6,3,1,4,2,5]=>8 [6,3,1,4,5,2]=>10 [6,3,1,5,2,4]=>10 [6,3,1,5,4,2]=>10 [6,3,2,1,4,5]=>6 [6,3,2,1,5,4]=>8 [6,3,2,4,1,5]=>10 [6,3,2,4,5,1]=>12 [6,3,2,5,1,4]=>10 [6,3,2,5,4,1]=>12 [6,3,4,1,2,5]=>8 [6,3,4,1,5,2]=>12 [6,3,4,2,1,5]=>8 [6,3,4,2,5,1]=>14 [6,3,4,5,1,2]=>10 [6,3,4,5,2,1]=>10 [6,3,5,1,2,4]=>8 [6,3,5,1,4,2]=>12 [6,3,5,2,1,4]=>8 [6,3,5,2,4,1]=>12 [6,3,5,4,1,2]=>10 [6,3,5,4,2,1]=>10 [6,4,1,2,3,5]=>6 [6,4,1,2,5,3]=>8 [6,4,1,3,2,5]=>8 [6,4,1,3,5,2]=>10 [6,4,1,5,2,3]=>10 [6,4,1,5,3,2]=>10 [6,4,2,1,3,5]=>6 [6,4,2,1,5,3]=>8 [6,4,2,3,1,5]=>8 [6,4,2,3,5,1]=>12 [6,4,2,5,1,3]=>10 [6,4,2,5,3,1]=>10 [6,4,3,1,2,5]=>6 [6,4,3,1,5,2]=>10 [6,4,3,2,1,5]=>6 [6,4,3,2,5,1]=>12 [6,4,3,5,1,2]=>10 [6,4,3,5,2,1]=>10 [6,4,5,1,2,3]=>8 [6,4,5,1,3,2]=>10 [6,4,5,2,1,3]=>8 [6,4,5,2,3,1]=>10 [6,4,5,3,1,2]=>8 [6,4,5,3,2,1]=>8 [6,5,1,2,3,4]=>6 [6,5,1,2,4,3]=>8 [6,5,1,3,2,4]=>8 [6,5,1,3,4,2]=>10 [6,5,1,4,2,3]=>10 [6,5,1,4,3,2]=>10 [6,5,2,1,3,4]=>6 [6,5,2,1,4,3]=>8 [6,5,2,3,1,4]=>8 [6,5,2,3,4,1]=>10 [6,5,2,4,1,3]=>8 [6,5,2,4,3,1]=>10 [6,5,3,1,2,4]=>6 [6,5,3,1,4,2]=>8 [6,5,3,2,1,4]=>6 [6,5,3,2,4,1]=>10 [6,5,3,4,1,2]=>8 [6,5,3,4,2,1]=>8 [6,5,4,1,2,3]=>6 [6,5,4,1,3,2]=>8 [6,5,4,2,1,3]=>6 [6,5,4,2,3,1]=>8 [6,5,4,3,1,2]=>6 [6,5,4,3,2,1]=>6 [1,2,3,4,5,6,7]=>7 [1,2,3,4,5,7,6]=>9 [1,2,3,4,6,5,7]=>9 [1,2,3,4,6,7,5]=>11 [1,2,3,4,7,5,6]=>11 [1,2,3,4,7,6,5]=>11 [1,2,3,5,4,6,7]=>9 [1,2,3,5,4,7,6]=>11 [1,2,3,5,6,4,7]=>11 [1,2,3,5,6,7,4]=>13 [1,2,3,5,7,4,6]=>11 [1,2,3,5,7,6,4]=>13 [1,2,3,6,4,5,7]=>11 [1,2,3,6,4,7,5]=>13 [1,2,3,6,5,4,7]=>11 [1,2,3,6,5,7,4]=>15 [1,2,3,6,7,4,5]=>13 [1,2,3,6,7,5,4]=>13 [1,2,3,7,4,5,6]=>13 [1,2,3,7,4,6,5]=>15 [1,2,3,7,5,4,6]=>13 [1,2,3,7,5,6,4]=>15 [1,2,3,7,6,4,5]=>13 [1,2,3,7,6,5,4]=>13 [1,2,4,3,5,6,7]=>9 [1,2,4,3,5,7,6]=>11 [1,2,4,3,6,5,7]=>11 [1,2,4,3,6,7,5]=>13 [1,2,4,3,7,5,6]=>13 [1,2,4,3,7,6,5]=>13 [1,2,4,5,3,6,7]=>11 [1,2,4,5,3,7,6]=>13 [1,2,4,5,6,3,7]=>13 [1,2,4,5,6,7,3]=>15 [1,2,4,5,7,3,6]=>13 [1,2,4,5,7,6,3]=>15 [1,2,4,6,3,5,7]=>11 [1,2,4,6,3,7,5]=>15 [1,2,4,6,5,3,7]=>13 [1,2,4,6,5,7,3]=>17 [1,2,4,6,7,3,5]=>13 [1,2,4,6,7,5,3]=>15 [1,2,4,7,3,5,6]=>13 [1,2,4,7,3,6,5]=>15 [1,2,4,7,5,3,6]=>13 [1,2,4,7,5,6,3]=>17 [1,2,4,7,6,3,5]=>13 [1,2,4,7,6,5,3]=>15 [1,2,5,3,4,6,7]=>11 [1,2,5,3,4,7,6]=>13 [1,2,5,3,6,4,7]=>13 [1,2,5,3,6,7,4]=>15 [1,2,5,3,7,4,6]=>15 [1,2,5,3,7,6,4]=>15 [1,2,5,4,3,6,7]=>11 [1,2,5,4,3,7,6]=>13 [1,2,5,4,6,3,7]=>15 [1,2,5,4,6,7,3]=>17 [1,2,5,4,7,3,6]=>15 [1,2,5,4,7,6,3]=>17 [1,2,5,6,3,4,7]=>13 [1,2,5,6,3,7,4]=>17 [1,2,5,6,4,3,7]=>13 [1,2,5,6,4,7,3]=>19 [1,2,5,6,7,3,4]=>15 [1,2,5,6,7,4,3]=>15 [1,2,5,7,3,4,6]=>13 [1,2,5,7,3,6,4]=>17 [1,2,5,7,4,3,6]=>13 [1,2,5,7,4,6,3]=>17 [1,2,5,7,6,3,4]=>15 [1,2,5,7,6,4,3]=>15 [1,2,6,3,4,5,7]=>13 [1,2,6,3,4,7,5]=>15 [1,2,6,3,5,4,7]=>15 [1,2,6,3,5,7,4]=>17 [1,2,6,3,7,4,5]=>17 [1,2,6,3,7,5,4]=>17 [1,2,6,4,3,5,7]=>13 [1,2,6,4,3,7,5]=>15 [1,2,6,4,5,3,7]=>15 [1,2,6,4,5,7,3]=>19 [1,2,6,4,7,3,5]=>17 [1,2,6,4,7,5,3]=>17 [1,2,6,5,3,4,7]=>13 [1,2,6,5,3,7,4]=>17 [1,2,6,5,4,3,7]=>13 [1,2,6,5,4,7,3]=>19 [1,2,6,5,7,3,4]=>17 [1,2,6,5,7,4,3]=>17 [1,2,6,7,3,4,5]=>15 [1,2,6,7,3,5,4]=>17 [1,2,6,7,4,3,5]=>15 [1,2,6,7,4,5,3]=>17 [1,2,6,7,5,3,4]=>15 [1,2,6,7,5,4,3]=>15 [1,2,7,3,4,5,6]=>15 [1,2,7,3,4,6,5]=>17 [1,2,7,3,5,4,6]=>17 [1,2,7,3,5,6,4]=>19 [1,2,7,3,6,4,5]=>19 [1,2,7,3,6,5,4]=>19 [1,2,7,4,3,5,6]=>15 [1,2,7,4,3,6,5]=>17 [1,2,7,4,5,3,6]=>17 [1,2,7,4,5,6,3]=>19 [1,2,7,4,6,3,5]=>17 [1,2,7,4,6,5,3]=>19 [1,2,7,5,3,4,6]=>15 [1,2,7,5,3,6,4]=>17 [1,2,7,5,4,3,6]=>15 [1,2,7,5,4,6,3]=>19 [1,2,7,5,6,3,4]=>17 [1,2,7,5,6,4,3]=>17 [1,2,7,6,3,4,5]=>15 [1,2,7,6,3,5,4]=>17 [1,2,7,6,4,3,5]=>15 [1,2,7,6,4,5,3]=>17 [1,2,7,6,5,3,4]=>15 [1,2,7,6,5,4,3]=>15 [1,3,2,4,5,6,7]=>9 [1,3,2,4,5,7,6]=>11 [1,3,2,4,6,5,7]=>11 [1,3,2,4,6,7,5]=>13 [1,3,2,4,7,5,6]=>13 [1,3,2,4,7,6,5]=>13 [1,3,2,5,4,6,7]=>11 [1,3,2,5,4,7,6]=>13 [1,3,2,5,6,4,7]=>13 [1,3,2,5,6,7,4]=>15 [1,3,2,5,7,4,6]=>13 [1,3,2,5,7,6,4]=>15 [1,3,2,6,4,5,7]=>13 [1,3,2,6,4,7,5]=>15 [1,3,2,6,5,4,7]=>13 [1,3,2,6,5,7,4]=>17 [1,3,2,6,7,4,5]=>15 [1,3,2,6,7,5,4]=>15 [1,3,2,7,4,5,6]=>15 [1,3,2,7,4,6,5]=>17 [1,3,2,7,5,4,6]=>15 [1,3,2,7,5,6,4]=>17 [1,3,2,7,6,4,5]=>15 [1,3,2,7,6,5,4]=>15 [1,3,4,2,5,6,7]=>11 [1,3,4,2,5,7,6]=>13 [1,3,4,2,6,5,7]=>13 [1,3,4,2,6,7,5]=>15 [1,3,4,2,7,5,6]=>15 [1,3,4,2,7,6,5]=>15 [1,3,4,5,2,6,7]=>13 [1,3,4,5,2,7,6]=>15 [1,3,4,5,6,2,7]=>15 [1,3,4,5,6,7,2]=>17 [1,3,4,5,7,2,6]=>15 [1,3,4,5,7,6,2]=>17 [1,3,4,6,2,5,7]=>13 [1,3,4,6,2,7,5]=>17 [1,3,4,6,5,2,7]=>15 [1,3,4,6,5,7,2]=>19 [1,3,4,6,7,2,5]=>15 [1,3,4,6,7,5,2]=>17 [1,3,4,7,2,5,6]=>15 [1,3,4,7,2,6,5]=>17 [1,3,4,7,5,2,6]=>15 [1,3,4,7,5,6,2]=>19 [1,3,4,7,6,2,5]=>15 [1,3,4,7,6,5,2]=>17 [1,3,5,2,4,6,7]=>11 [1,3,5,2,4,7,6]=>13 [1,3,5,2,6,4,7]=>15 [1,3,5,2,6,7,4]=>17 [1,3,5,2,7,4,6]=>17 [1,3,5,2,7,6,4]=>17 [1,3,5,4,2,6,7]=>13 [1,3,5,4,2,7,6]=>15 [1,3,5,4,6,2,7]=>17 [1,3,5,4,6,7,2]=>19 [1,3,5,4,7,2,6]=>17 [1,3,5,4,7,6,2]=>19 [1,3,5,6,2,4,7]=>13 [1,3,5,6,2,7,4]=>19 [1,3,5,6,4,2,7]=>15 [1,3,5,6,4,7,2]=>21 [1,3,5,6,7,2,4]=>15 [1,3,5,6,7,4,2]=>17 [1,3,5,7,2,4,6]=>13 [1,3,5,7,2,6,4]=>19 [1,3,5,7,4,2,6]=>15 [1,3,5,7,4,6,2]=>19 [1,3,5,7,6,2,4]=>15 [1,3,5,7,6,4,2]=>17 [1,3,6,2,4,5,7]=>13 [1,3,6,2,4,7,5]=>15 [1,3,6,2,5,4,7]=>15 [1,3,6,2,5,7,4]=>17 [1,3,6,2,7,4,5]=>19 [1,3,6,2,7,5,4]=>19 [1,3,6,4,2,5,7]=>13 [1,3,6,4,2,7,5]=>17 [1,3,6,4,5,2,7]=>17 [1,3,6,4,5,7,2]=>21 [1,3,6,4,7,2,5]=>17 [1,3,6,4,7,5,2]=>19 [1,3,6,5,2,4,7]=>13 [1,3,6,5,2,7,4]=>19 [1,3,6,5,4,2,7]=>15 [1,3,6,5,4,7,2]=>21 [1,3,6,5,7,2,4]=>17 [1,3,6,5,7,4,2]=>19 [1,3,6,7,2,4,5]=>15 [1,3,6,7,2,5,4]=>17 [1,3,6,7,4,2,5]=>15 [1,3,6,7,4,5,2]=>19 [1,3,6,7,5,2,4]=>15 [1,3,6,7,5,4,2]=>17 [1,3,7,2,4,5,6]=>15 [1,3,7,2,4,6,5]=>17 [1,3,7,2,5,4,6]=>17 [1,3,7,2,5,6,4]=>19 [1,3,7,2,6,4,5]=>19 [1,3,7,2,6,5,4]=>19 [1,3,7,4,2,5,6]=>15 [1,3,7,4,2,6,5]=>17 [1,3,7,4,5,2,6]=>17 [1,3,7,4,5,6,2]=>21 [1,3,7,4,6,2,5]=>17 [1,3,7,4,6,5,2]=>21 [1,3,7,5,2,4,6]=>15 [1,3,7,5,2,6,4]=>17 [1,3,7,5,4,2,6]=>15 [1,3,7,5,4,6,2]=>21 [1,3,7,5,6,2,4]=>17 [1,3,7,5,6,4,2]=>19 [1,3,7,6,2,4,5]=>15 [1,3,7,6,2,5,4]=>17 [1,3,7,6,4,2,5]=>15 [1,3,7,6,4,5,2]=>19 [1,3,7,6,5,2,4]=>15 [1,3,7,6,5,4,2]=>17 [1,4,2,3,5,6,7]=>11 [1,4,2,3,5,7,6]=>13 [1,4,2,3,6,5,7]=>13 [1,4,2,3,6,7,5]=>15 [1,4,2,3,7,5,6]=>15 [1,4,2,3,7,6,5]=>15 [1,4,2,5,3,6,7]=>13 [1,4,2,5,3,7,6]=>15 [1,4,2,5,6,3,7]=>15 [1,4,2,5,6,7,3]=>17 [1,4,2,5,7,3,6]=>15 [1,4,2,5,7,6,3]=>17 [1,4,2,6,3,5,7]=>15 [1,4,2,6,3,7,5]=>17 [1,4,2,6,5,3,7]=>15 [1,4,2,6,5,7,3]=>19 [1,4,2,6,7,3,5]=>17 [1,4,2,6,7,5,3]=>17 [1,4,2,7,3,5,6]=>17 [1,4,2,7,3,6,5]=>19 [1,4,2,7,5,3,6]=>17 [1,4,2,7,5,6,3]=>19 [1,4,2,7,6,3,5]=>17 [1,4,2,7,6,5,3]=>17 [1,4,3,2,5,6,7]=>11 [1,4,3,2,5,7,6]=>13 [1,4,3,2,6,5,7]=>13 [1,4,3,2,6,7,5]=>15 [1,4,3,2,7,5,6]=>15 [1,4,3,2,7,6,5]=>15 [1,4,3,5,2,6,7]=>15 [1,4,3,5,2,7,6]=>17 [1,4,3,5,6,2,7]=>17 [1,4,3,5,6,7,2]=>19 [1,4,3,5,7,2,6]=>17 [1,4,3,5,7,6,2]=>19 [1,4,3,6,2,5,7]=>15 [1,4,3,6,2,7,5]=>19 [1,4,3,6,5,2,7]=>17 [1,4,3,6,5,7,2]=>21 [1,4,3,6,7,2,5]=>17 [1,4,3,6,7,5,2]=>19 [1,4,3,7,2,5,6]=>17 [1,4,3,7,2,6,5]=>19 [1,4,3,7,5,2,6]=>17 [1,4,3,7,5,6,2]=>21 [1,4,3,7,6,2,5]=>17 [1,4,3,7,6,5,2]=>19 [1,4,5,2,3,6,7]=>13 [1,4,5,2,3,7,6]=>15 [1,4,5,2,6,3,7]=>17 [1,4,5,2,6,7,3]=>19 [1,4,5,2,7,3,6]=>19 [1,4,5,2,7,6,3]=>19 [1,4,5,3,2,6,7]=>13 [1,4,5,3,2,7,6]=>15 [1,4,5,3,6,2,7]=>19 [1,4,5,3,6,7,2]=>21 [1,4,5,3,7,2,6]=>19 [1,4,5,3,7,6,2]=>21 [1,4,5,6,2,3,7]=>15 [1,4,5,6,2,7,3]=>21 [1,4,5,6,3,2,7]=>15 [1,4,5,6,3,7,2]=>23 [1,4,5,6,7,2,3]=>17 [1,4,5,6,7,3,2]=>17 [1,4,5,7,2,3,6]=>15 [1,4,5,7,2,6,3]=>21 [1,4,5,7,3,2,6]=>15 [1,4,5,7,3,6,2]=>21 [1,4,5,7,6,2,3]=>17 [1,4,5,7,6,3,2]=>17 [1,4,6,2,3,5,7]=>13 [1,4,6,2,3,7,5]=>17 [1,4,6,2,5,3,7]=>17 [1,4,6,2,5,7,3]=>19 [1,4,6,2,7,3,5]=>19 [1,4,6,2,7,5,3]=>21 [1,4,6,3,2,5,7]=>13 [1,4,6,3,2,7,5]=>17 [1,4,6,3,5,2,7]=>17 [1,4,6,3,5,7,2]=>21 [1,4,6,3,7,2,5]=>19 [1,4,6,3,7,5,2]=>21 [1,4,6,5,2,3,7]=>15 [1,4,6,5,2,7,3]=>21 [1,4,6,5,3,2,7]=>15 [1,4,6,5,3,7,2]=>23
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Description
The number of inversions of the cyclic embedding of a permutation.
The cyclic embedding of a permutation $\pi$ of length $n$ is given by the permutation of length $n+1$ represented in cycle notation by $(\pi_1,\ldots,\pi_n,n+1)$.
This reflects in particular the fact that the number of long cycles of length $n+1$ equals $n!$.
This statistic counts the number of inversions of this embedding, see [1]. As shown in [2], the sum of this statistic on all permutations of length $n$ equals $n!\cdot(3n-1)/12$.
References
[1] The number of inversions over all n-permutations consisting only of a single cycle. OEIS:A227404
[2] Palcoux, S. Examples of integer sequences coincidences MathOverflow:289976
Code
def statistic(pi):
    n = len(pi)+Integer(1)
    pi = tuple(list(pi)+[n])
    return Permutation(pi).number_of_inversions()

Created
Jan 05, 2018 at 15:58 by Christian Stump
Updated
Jan 05, 2018 at 18:38 by Christian Stump