edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>2 [1,2,3]=>0 [1,3,2]=>3 [2,1,3]=>2 [2,3,1]=>4 [3,1,2]=>3 [3,2,1]=>6 [1,2,3,4]=>0 [1,2,4,3]=>4 [1,3,2,4]=>3 [1,3,4,2]=>5 [1,4,2,3]=>4 [1,4,3,2]=>8 [2,1,3,4]=>2 [2,1,4,3]=>6 [2,3,1,4]=>4 [2,3,4,1]=>6 [2,4,1,3]=>5 [2,4,3,1]=>9 [3,1,2,4]=>3 [3,1,4,2]=>7 [3,2,1,4]=>6 [3,2,4,1]=>8 [3,4,1,2]=>6 [3,4,2,1]=>10 [4,1,2,3]=>4 [4,1,3,2]=>8 [4,2,1,3]=>7 [4,2,3,1]=>9 [4,3,1,2]=>8 [4,3,2,1]=>12 [1,2,3,4,5]=>0 [1,2,3,5,4]=>5 [1,2,4,3,5]=>4 [1,2,4,5,3]=>6 [1,2,5,3,4]=>5 [1,2,5,4,3]=>10 [1,3,2,4,5]=>3 [1,3,2,5,4]=>8 [1,3,4,2,5]=>5 [1,3,4,5,2]=>7 [1,3,5,2,4]=>6 [1,3,5,4,2]=>11 [1,4,2,3,5]=>4 [1,4,2,5,3]=>9 [1,4,3,2,5]=>8 [1,4,3,5,2]=>10 [1,4,5,2,3]=>7 [1,4,5,3,2]=>12 [1,5,2,3,4]=>5 [1,5,2,4,3]=>10 [1,5,3,2,4]=>9 [1,5,3,4,2]=>11 [1,5,4,2,3]=>10 [1,5,4,3,2]=>15 [2,1,3,4,5]=>2 [2,1,3,5,4]=>7 [2,1,4,3,5]=>6 [2,1,4,5,3]=>8 [2,1,5,3,4]=>7 [2,1,5,4,3]=>12 [2,3,1,4,5]=>4 [2,3,1,5,4]=>9 [2,3,4,1,5]=>6 [2,3,4,5,1]=>8 [2,3,5,1,4]=>7 [2,3,5,4,1]=>12 [2,4,1,3,5]=>5 [2,4,1,5,3]=>10 [2,4,3,1,5]=>9 [2,4,3,5,1]=>11 [2,4,5,1,3]=>8 [2,4,5,3,1]=>13 [2,5,1,3,4]=>6 [2,5,1,4,3]=>11 [2,5,3,1,4]=>10 [2,5,3,4,1]=>12 [2,5,4,1,3]=>11 [2,5,4,3,1]=>16 [3,1,2,4,5]=>3 [3,1,2,5,4]=>8 [3,1,4,2,5]=>7 [3,1,4,5,2]=>9 [3,1,5,2,4]=>8 [3,1,5,4,2]=>13 [3,2,1,4,5]=>6 [3,2,1,5,4]=>11 [3,2,4,1,5]=>8 [3,2,4,5,1]=>10 [3,2,5,1,4]=>9 [3,2,5,4,1]=>14 [3,4,1,2,5]=>6 [3,4,1,5,2]=>11 [3,4,2,1,5]=>10 [3,4,2,5,1]=>12 [3,4,5,1,2]=>9 [3,4,5,2,1]=>14 [3,5,1,2,4]=>7 [3,5,1,4,2]=>12 [3,5,2,1,4]=>11 [3,5,2,4,1]=>13 [3,5,4,1,2]=>12 [3,5,4,2,1]=>17 [4,1,2,3,5]=>4 [4,1,2,5,3]=>9 [4,1,3,2,5]=>8 [4,1,3,5,2]=>10 [4,1,5,2,3]=>9 [4,1,5,3,2]=>14 [4,2,1,3,5]=>7 [4,2,1,5,3]=>12 [4,2,3,1,5]=>9 [4,2,3,5,1]=>11 [4,2,5,1,3]=>10 [4,2,5,3,1]=>15 [4,3,1,2,5]=>8 [4,3,1,5,2]=>13 [4,3,2,1,5]=>12 [4,3,2,5,1]=>14 [4,3,5,1,2]=>11 [4,3,5,2,1]=>16 [4,5,1,2,3]=>8 [4,5,1,3,2]=>13 [4,5,2,1,3]=>12 [4,5,2,3,1]=>14 [4,5,3,1,2]=>13 [4,5,3,2,1]=>18 [5,1,2,3,4]=>5 [5,1,2,4,3]=>10 [5,1,3,2,4]=>9 [5,1,3,4,2]=>11 [5,1,4,2,3]=>10 [5,1,4,3,2]=>15 [5,2,1,3,4]=>8 [5,2,1,4,3]=>13 [5,2,3,1,4]=>10 [5,2,3,4,1]=>12 [5,2,4,1,3]=>11 [5,2,4,3,1]=>16 [5,3,1,2,4]=>9 [5,3,1,4,2]=>14 [5,3,2,1,4]=>13 [5,3,2,4,1]=>15 [5,3,4,1,2]=>12 [5,3,4,2,1]=>17 [5,4,1,2,3]=>10 [5,4,1,3,2]=>15 [5,4,2,1,3]=>14 [5,4,2,3,1]=>16 [5,4,3,1,2]=>15 [5,4,3,2,1]=>20 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>6 [1,2,3,5,4,6]=>5 [1,2,3,5,6,4]=>7 [1,2,3,6,4,5]=>6 [1,2,3,6,5,4]=>12 [1,2,4,3,5,6]=>4 [1,2,4,3,6,5]=>10 [1,2,4,5,3,6]=>6 [1,2,4,5,6,3]=>8 [1,2,4,6,3,5]=>7 [1,2,4,6,5,3]=>13 [1,2,5,3,4,6]=>5 [1,2,5,3,6,4]=>11 [1,2,5,4,3,6]=>10 [1,2,5,4,6,3]=>12 [1,2,5,6,3,4]=>8 [1,2,5,6,4,3]=>14 [1,2,6,3,4,5]=>6 [1,2,6,3,5,4]=>12 [1,2,6,4,3,5]=>11 [1,2,6,4,5,3]=>13 [1,2,6,5,3,4]=>12 [1,2,6,5,4,3]=>18 [1,3,2,4,5,6]=>3 [1,3,2,4,6,5]=>9 [1,3,2,5,4,6]=>8 [1,3,2,5,6,4]=>10 [1,3,2,6,4,5]=>9 [1,3,2,6,5,4]=>15 [1,3,4,2,5,6]=>5 [1,3,4,2,6,5]=>11 [1,3,4,5,2,6]=>7 [1,3,4,5,6,2]=>9 [1,3,4,6,2,5]=>8 [1,3,4,6,5,2]=>14 [1,3,5,2,4,6]=>6 [1,3,5,2,6,4]=>12 [1,3,5,4,2,6]=>11 [1,3,5,4,6,2]=>13 [1,3,5,6,2,4]=>9 [1,3,5,6,4,2]=>15 [1,3,6,2,4,5]=>7 [1,3,6,2,5,4]=>13 [1,3,6,4,2,5]=>12 [1,3,6,4,5,2]=>14 [1,3,6,5,2,4]=>13 [1,3,6,5,4,2]=>19 [1,4,2,3,5,6]=>4 [1,4,2,3,6,5]=>10 [1,4,2,5,3,6]=>9 [1,4,2,5,6,3]=>11 [1,4,2,6,3,5]=>10 [1,4,2,6,5,3]=>16 [1,4,3,2,5,6]=>8 [1,4,3,2,6,5]=>14 [1,4,3,5,2,6]=>10 [1,4,3,5,6,2]=>12 [1,4,3,6,2,5]=>11 [1,4,3,6,5,2]=>17 [1,4,5,2,3,6]=>7 [1,4,5,2,6,3]=>13 [1,4,5,3,2,6]=>12 [1,4,5,3,6,2]=>14 [1,4,5,6,2,3]=>10 [1,4,5,6,3,2]=>16 [1,4,6,2,3,5]=>8 [1,4,6,2,5,3]=>14 [1,4,6,3,2,5]=>13 [1,4,6,3,5,2]=>15 [1,4,6,5,2,3]=>14 [1,4,6,5,3,2]=>20 [1,5,2,3,4,6]=>5 [1,5,2,3,6,4]=>11 [1,5,2,4,3,6]=>10 [1,5,2,4,6,3]=>12 [1,5,2,6,3,4]=>11 [1,5,2,6,4,3]=>17 [1,5,3,2,4,6]=>9 [1,5,3,2,6,4]=>15 [1,5,3,4,2,6]=>11 [1,5,3,4,6,2]=>13 [1,5,3,6,2,4]=>12 [1,5,3,6,4,2]=>18 [1,5,4,2,3,6]=>10 [1,5,4,2,6,3]=>16 [1,5,4,3,2,6]=>15 [1,5,4,3,6,2]=>17 [1,5,4,6,2,3]=>13 [1,5,4,6,3,2]=>19 [1,5,6,2,3,4]=>9 [1,5,6,2,4,3]=>15 [1,5,6,3,2,4]=>14 [1,5,6,3,4,2]=>16 [1,5,6,4,2,3]=>15 [1,5,6,4,3,2]=>21 [1,6,2,3,4,5]=>6 [1,6,2,3,5,4]=>12 [1,6,2,4,3,5]=>11 [1,6,2,4,5,3]=>13 [1,6,2,5,3,4]=>12 [1,6,2,5,4,3]=>18 [1,6,3,2,4,5]=>10 [1,6,3,2,5,4]=>16 [1,6,3,4,2,5]=>12 [1,6,3,4,5,2]=>14 [1,6,3,5,2,4]=>13 [1,6,3,5,4,2]=>19 [1,6,4,2,3,5]=>11 [1,6,4,2,5,3]=>17 [1,6,4,3,2,5]=>16 [1,6,4,3,5,2]=>18 [1,6,4,5,2,3]=>14 [1,6,4,5,3,2]=>20 [1,6,5,2,3,4]=>12 [1,6,5,2,4,3]=>18 [1,6,5,3,2,4]=>17 [1,6,5,3,4,2]=>19 [1,6,5,4,2,3]=>18 [1,6,5,4,3,2]=>24 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>8 [2,1,3,5,4,6]=>7 [2,1,3,5,6,4]=>9 [2,1,3,6,4,5]=>8 [2,1,3,6,5,4]=>14 [2,1,4,3,5,6]=>6 [2,1,4,3,6,5]=>12 [2,1,4,5,3,6]=>8 [2,1,4,5,6,3]=>10 [2,1,4,6,3,5]=>9 [2,1,4,6,5,3]=>15 [2,1,5,3,4,6]=>7 [2,1,5,3,6,4]=>13 [2,1,5,4,3,6]=>12 [2,1,5,4,6,3]=>14 [2,1,5,6,3,4]=>10 [2,1,5,6,4,3]=>16 [2,1,6,3,4,5]=>8 [2,1,6,3,5,4]=>14 [2,1,6,4,3,5]=>13 [2,1,6,4,5,3]=>15 [2,1,6,5,3,4]=>14 [2,1,6,5,4,3]=>20 [2,3,1,4,5,6]=>4 [2,3,1,4,6,5]=>10 [2,3,1,5,4,6]=>9 [2,3,1,5,6,4]=>11 [2,3,1,6,4,5]=>10 [2,3,1,6,5,4]=>16 [2,3,4,1,5,6]=>6 [2,3,4,1,6,5]=>12 [2,3,4,5,1,6]=>8 [2,3,4,5,6,1]=>10 [2,3,4,6,1,5]=>9 [2,3,4,6,5,1]=>15 [2,3,5,1,4,6]=>7 [2,3,5,1,6,4]=>13 [2,3,5,4,1,6]=>12 [2,3,5,4,6,1]=>14 [2,3,5,6,1,4]=>10 [2,3,5,6,4,1]=>16 [2,3,6,1,4,5]=>8 [2,3,6,1,5,4]=>14 [2,3,6,4,1,5]=>13 [2,3,6,4,5,1]=>15 [2,3,6,5,1,4]=>14 [2,3,6,5,4,1]=>20 [2,4,1,3,5,6]=>5 [2,4,1,3,6,5]=>11 [2,4,1,5,3,6]=>10 [2,4,1,5,6,3]=>12 [2,4,1,6,3,5]=>11 [2,4,1,6,5,3]=>17 [2,4,3,1,5,6]=>9 [2,4,3,1,6,5]=>15 [2,4,3,5,1,6]=>11 [2,4,3,5,6,1]=>13 [2,4,3,6,1,5]=>12 [2,4,3,6,5,1]=>18 [2,4,5,1,3,6]=>8 [2,4,5,1,6,3]=>14 [2,4,5,3,1,6]=>13 [2,4,5,3,6,1]=>15 [2,4,5,6,1,3]=>11 [2,4,5,6,3,1]=>17 [2,4,6,1,3,5]=>9 [2,4,6,1,5,3]=>15 [2,4,6,3,1,5]=>14 [2,4,6,3,5,1]=>16 [2,4,6,5,1,3]=>15 [2,4,6,5,3,1]=>21 [2,5,1,3,4,6]=>6 [2,5,1,3,6,4]=>12 [2,5,1,4,3,6]=>11 [2,5,1,4,6,3]=>13 [2,5,1,6,3,4]=>12 [2,5,1,6,4,3]=>18 [2,5,3,1,4,6]=>10 [2,5,3,1,6,4]=>16 [2,5,3,4,1,6]=>12 [2,5,3,4,6,1]=>14 [2,5,3,6,1,4]=>13 [2,5,3,6,4,1]=>19 [2,5,4,1,3,6]=>11 [2,5,4,1,6,3]=>17 [2,5,4,3,1,6]=>16 [2,5,4,3,6,1]=>18 [2,5,4,6,1,3]=>14 [2,5,4,6,3,1]=>20 [2,5,6,1,3,4]=>10 [2,5,6,1,4,3]=>16 [2,5,6,3,1,4]=>15 [2,5,6,3,4,1]=>17 [2,5,6,4,1,3]=>16 [2,5,6,4,3,1]=>22 [2,6,1,3,4,5]=>7 [2,6,1,3,5,4]=>13 [2,6,1,4,3,5]=>12 [2,6,1,4,5,3]=>14 [2,6,1,5,3,4]=>13 [2,6,1,5,4,3]=>19 [2,6,3,1,4,5]=>11 [2,6,3,1,5,4]=>17 [2,6,3,4,1,5]=>13 [2,6,3,4,5,1]=>15 [2,6,3,5,1,4]=>14 [2,6,3,5,4,1]=>20 [2,6,4,1,3,5]=>12 [2,6,4,1,5,3]=>18 [2,6,4,3,1,5]=>17 [2,6,4,3,5,1]=>19 [2,6,4,5,1,3]=>15 [2,6,4,5,3,1]=>21 [2,6,5,1,3,4]=>13 [2,6,5,1,4,3]=>19 [2,6,5,3,1,4]=>18 [2,6,5,3,4,1]=>20 [2,6,5,4,1,3]=>19 [2,6,5,4,3,1]=>25 [3,1,2,4,5,6]=>3 [3,1,2,4,6,5]=>9 [3,1,2,5,4,6]=>8 [3,1,2,5,6,4]=>10 [3,1,2,6,4,5]=>9 [3,1,2,6,5,4]=>15 [3,1,4,2,5,6]=>7 [3,1,4,2,6,5]=>13 [3,1,4,5,2,6]=>9 [3,1,4,5,6,2]=>11 [3,1,4,6,2,5]=>10 [3,1,4,6,5,2]=>16 [3,1,5,2,4,6]=>8 [3,1,5,2,6,4]=>14 [3,1,5,4,2,6]=>13 [3,1,5,4,6,2]=>15 [3,1,5,6,2,4]=>11 [3,1,5,6,4,2]=>17 [3,1,6,2,4,5]=>9 [3,1,6,2,5,4]=>15 [3,1,6,4,2,5]=>14 [3,1,6,4,5,2]=>16 [3,1,6,5,2,4]=>15 [3,1,6,5,4,2]=>21 [3,2,1,4,5,6]=>6 [3,2,1,4,6,5]=>12 [3,2,1,5,4,6]=>11 [3,2,1,5,6,4]=>13 [3,2,1,6,4,5]=>12 [3,2,1,6,5,4]=>18 [3,2,4,1,5,6]=>8 [3,2,4,1,6,5]=>14 [3,2,4,5,1,6]=>10 [3,2,4,5,6,1]=>12 [3,2,4,6,1,5]=>11 [3,2,4,6,5,1]=>17 [3,2,5,1,4,6]=>9 [3,2,5,1,6,4]=>15 [3,2,5,4,1,6]=>14 [3,2,5,4,6,1]=>16 [3,2,5,6,1,4]=>12 [3,2,5,6,4,1]=>18 [3,2,6,1,4,5]=>10 [3,2,6,1,5,4]=>16 [3,2,6,4,1,5]=>15 [3,2,6,4,5,1]=>17 [3,2,6,5,1,4]=>16 [3,2,6,5,4,1]=>22 [3,4,1,2,5,6]=>6 [3,4,1,2,6,5]=>12 [3,4,1,5,2,6]=>11 [3,4,1,5,6,2]=>13 [3,4,1,6,2,5]=>12 [3,4,1,6,5,2]=>18 [3,4,2,1,5,6]=>10 [3,4,2,1,6,5]=>16 [3,4,2,5,1,6]=>12 [3,4,2,5,6,1]=>14 [3,4,2,6,1,5]=>13 [3,4,2,6,5,1]=>19 [3,4,5,1,2,6]=>9 [3,4,5,1,6,2]=>15 [3,4,5,2,1,6]=>14 [3,4,5,2,6,1]=>16 [3,4,5,6,1,2]=>12 [3,4,5,6,2,1]=>18 [3,4,6,1,2,5]=>10 [3,4,6,1,5,2]=>16 [3,4,6,2,1,5]=>15 [3,4,6,2,5,1]=>17 [3,4,6,5,1,2]=>16 [3,4,6,5,2,1]=>22 [3,5,1,2,4,6]=>7 [3,5,1,2,6,4]=>13 [3,5,1,4,2,6]=>12 [3,5,1,4,6,2]=>14 [3,5,1,6,2,4]=>13 [3,5,1,6,4,2]=>19 [3,5,2,1,4,6]=>11 [3,5,2,1,6,4]=>17 [3,5,2,4,1,6]=>13 [3,5,2,4,6,1]=>15 [3,5,2,6,1,4]=>14 [3,5,2,6,4,1]=>20 [3,5,4,1,2,6]=>12 [3,5,4,1,6,2]=>18 [3,5,4,2,1,6]=>17 [3,5,4,2,6,1]=>19 [3,5,4,6,1,2]=>15 [3,5,4,6,2,1]=>21 [3,5,6,1,2,4]=>11 [3,5,6,1,4,2]=>17 [3,5,6,2,1,4]=>16 [3,5,6,2,4,1]=>18 [3,5,6,4,1,2]=>17 [3,5,6,4,2,1]=>23 [3,6,1,2,4,5]=>8 [3,6,1,2,5,4]=>14 [3,6,1,4,2,5]=>13 [3,6,1,4,5,2]=>15 [3,6,1,5,2,4]=>14 [3,6,1,5,4,2]=>20 [3,6,2,1,4,5]=>12 [3,6,2,1,5,4]=>18 [3,6,2,4,1,5]=>14 [3,6,2,4,5,1]=>16 [3,6,2,5,1,4]=>15 [3,6,2,5,4,1]=>21 [3,6,4,1,2,5]=>13 [3,6,4,1,5,2]=>19 [3,6,4,2,1,5]=>18 [3,6,4,2,5,1]=>20 [3,6,4,5,1,2]=>16 [3,6,4,5,2,1]=>22 [3,6,5,1,2,4]=>14 [3,6,5,1,4,2]=>20 [3,6,5,2,1,4]=>19 [3,6,5,2,4,1]=>21 [3,6,5,4,1,2]=>20 [3,6,5,4,2,1]=>26 [4,1,2,3,5,6]=>4 [4,1,2,3,6,5]=>10 [4,1,2,5,3,6]=>9 [4,1,2,5,6,3]=>11 [4,1,2,6,3,5]=>10 [4,1,2,6,5,3]=>16 [4,1,3,2,5,6]=>8 [4,1,3,2,6,5]=>14 [4,1,3,5,2,6]=>10 [4,1,3,5,6,2]=>12 [4,1,3,6,2,5]=>11 [4,1,3,6,5,2]=>17 [4,1,5,2,3,6]=>9 [4,1,5,2,6,3]=>15 [4,1,5,3,2,6]=>14 [4,1,5,3,6,2]=>16 [4,1,5,6,2,3]=>12 [4,1,5,6,3,2]=>18 [4,1,6,2,3,5]=>10 [4,1,6,2,5,3]=>16 [4,1,6,3,2,5]=>15 [4,1,6,3,5,2]=>17 [4,1,6,5,2,3]=>16 [4,1,6,5,3,2]=>22 [4,2,1,3,5,6]=>7 [4,2,1,3,6,5]=>13 [4,2,1,5,3,6]=>12 [4,2,1,5,6,3]=>14 [4,2,1,6,3,5]=>13 [4,2,1,6,5,3]=>19 [4,2,3,1,5,6]=>9 [4,2,3,1,6,5]=>15 [4,2,3,5,1,6]=>11 [4,2,3,5,6,1]=>13 [4,2,3,6,1,5]=>12 [4,2,3,6,5,1]=>18 [4,2,5,1,3,6]=>10 [4,2,5,1,6,3]=>16 [4,2,5,3,1,6]=>15 [4,2,5,3,6,1]=>17 [4,2,5,6,1,3]=>13 [4,2,5,6,3,1]=>19 [4,2,6,1,3,5]=>11 [4,2,6,1,5,3]=>17 [4,2,6,3,1,5]=>16 [4,2,6,3,5,1]=>18 [4,2,6,5,1,3]=>17 [4,2,6,5,3,1]=>23 [4,3,1,2,5,6]=>8 [4,3,1,2,6,5]=>14 [4,3,1,5,2,6]=>13 [4,3,1,5,6,2]=>15 [4,3,1,6,2,5]=>14 [4,3,1,6,5,2]=>20 [4,3,2,1,5,6]=>12 [4,3,2,1,6,5]=>18 [4,3,2,5,1,6]=>14 [4,3,2,5,6,1]=>16 [4,3,2,6,1,5]=>15 [4,3,2,6,5,1]=>21 [4,3,5,1,2,6]=>11 [4,3,5,1,6,2]=>17 [4,3,5,2,1,6]=>16 [4,3,5,2,6,1]=>18 [4,3,5,6,1,2]=>14 [4,3,5,6,2,1]=>20 [4,3,6,1,2,5]=>12 [4,3,6,1,5,2]=>18 [4,3,6,2,1,5]=>17 [4,3,6,2,5,1]=>19 [4,3,6,5,1,2]=>18 [4,3,6,5,2,1]=>24 [4,5,1,2,3,6]=>8 [4,5,1,2,6,3]=>14 [4,5,1,3,2,6]=>13 [4,5,1,3,6,2]=>15 [4,5,1,6,2,3]=>14 [4,5,1,6,3,2]=>20 [4,5,2,1,3,6]=>12 [4,5,2,1,6,3]=>18 [4,5,2,3,1,6]=>14 [4,5,2,3,6,1]=>16 [4,5,2,6,1,3]=>15 [4,5,2,6,3,1]=>21 [4,5,3,1,2,6]=>13 [4,5,3,1,6,2]=>19 [4,5,3,2,1,6]=>18 [4,5,3,2,6,1]=>20 [4,5,3,6,1,2]=>16 [4,5,3,6,2,1]=>22 [4,5,6,1,2,3]=>12 [4,5,6,1,3,2]=>18 [4,5,6,2,1,3]=>17 [4,5,6,2,3,1]=>19 [4,5,6,3,1,2]=>18 [4,5,6,3,2,1]=>24 [4,6,1,2,3,5]=>9 [4,6,1,2,5,3]=>15 [4,6,1,3,2,5]=>14 [4,6,1,3,5,2]=>16 [4,6,1,5,2,3]=>15 [4,6,1,5,3,2]=>21 [4,6,2,1,3,5]=>13 [4,6,2,1,5,3]=>19 [4,6,2,3,1,5]=>15 [4,6,2,3,5,1]=>17 [4,6,2,5,1,3]=>16 [4,6,2,5,3,1]=>22 [4,6,3,1,2,5]=>14 [4,6,3,1,5,2]=>20 [4,6,3,2,1,5]=>19 [4,6,3,2,5,1]=>21 [4,6,3,5,1,2]=>17 [4,6,3,5,2,1]=>23 [4,6,5,1,2,3]=>15 [4,6,5,1,3,2]=>21 [4,6,5,2,1,3]=>20 [4,6,5,2,3,1]=>22 [4,6,5,3,1,2]=>21 [4,6,5,3,2,1]=>27 [5,1,2,3,4,6]=>5 [5,1,2,3,6,4]=>11 [5,1,2,4,3,6]=>10 [5,1,2,4,6,3]=>12 [5,1,2,6,3,4]=>11 [5,1,2,6,4,3]=>17 [5,1,3,2,4,6]=>9 [5,1,3,2,6,4]=>15 [5,1,3,4,2,6]=>11 [5,1,3,4,6,2]=>13 [5,1,3,6,2,4]=>12 [5,1,3,6,4,2]=>18 [5,1,4,2,3,6]=>10 [5,1,4,2,6,3]=>16 [5,1,4,3,2,6]=>15 [5,1,4,3,6,2]=>17 [5,1,4,6,2,3]=>13 [5,1,4,6,3,2]=>19 [5,1,6,2,3,4]=>11 [5,1,6,2,4,3]=>17 [5,1,6,3,2,4]=>16 [5,1,6,3,4,2]=>18 [5,1,6,4,2,3]=>17 [5,1,6,4,3,2]=>23 [5,2,1,3,4,6]=>8 [5,2,1,3,6,4]=>14 [5,2,1,4,3,6]=>13 [5,2,1,4,6,3]=>15 [5,2,1,6,3,4]=>14 [5,2,1,6,4,3]=>20 [5,2,3,1,4,6]=>10 [5,2,3,1,6,4]=>16 [5,2,3,4,1,6]=>12 [5,2,3,4,6,1]=>14 [5,2,3,6,1,4]=>13 [5,2,3,6,4,1]=>19 [5,2,4,1,3,6]=>11 [5,2,4,1,6,3]=>17 [5,2,4,3,1,6]=>16 [5,2,4,3,6,1]=>18 [5,2,4,6,1,3]=>14 [5,2,4,6,3,1]=>20 [5,2,6,1,3,4]=>12 [5,2,6,1,4,3]=>18 [5,2,6,3,1,4]=>17 [5,2,6,3,4,1]=>19 [5,2,6,4,1,3]=>18 [5,2,6,4,3,1]=>24 [5,3,1,2,4,6]=>9 [5,3,1,2,6,4]=>15 [5,3,1,4,2,6]=>14 [5,3,1,4,6,2]=>16 [5,3,1,6,2,4]=>15 [5,3,1,6,4,2]=>21 [5,3,2,1,4,6]=>13 [5,3,2,1,6,4]=>19 [5,3,2,4,1,6]=>15 [5,3,2,4,6,1]=>17 [5,3,2,6,1,4]=>16 [5,3,2,6,4,1]=>22 [5,3,4,1,2,6]=>12 [5,3,4,1,6,2]=>18 [5,3,4,2,1,6]=>17 [5,3,4,2,6,1]=>19 [5,3,4,6,1,2]=>15 [5,3,4,6,2,1]=>21 [5,3,6,1,2,4]=>13 [5,3,6,1,4,2]=>19 [5,3,6,2,1,4]=>18 [5,3,6,2,4,1]=>20 [5,3,6,4,1,2]=>19 [5,3,6,4,2,1]=>25 [5,4,1,2,3,6]=>10 [5,4,1,2,6,3]=>16 [5,4,1,3,2,6]=>15 [5,4,1,3,6,2]=>17 [5,4,1,6,2,3]=>16 [5,4,1,6,3,2]=>22 [5,4,2,1,3,6]=>14 [5,4,2,1,6,3]=>20 [5,4,2,3,1,6]=>16 [5,4,2,3,6,1]=>18 [5,4,2,6,1,3]=>17 [5,4,2,6,3,1]=>23 [5,4,3,1,2,6]=>15 [5,4,3,1,6,2]=>21 [5,4,3,2,1,6]=>20 [5,4,3,2,6,1]=>22 [5,4,3,6,1,2]=>18 [5,4,3,6,2,1]=>24 [5,4,6,1,2,3]=>14 [5,4,6,1,3,2]=>20 [5,4,6,2,1,3]=>19 [5,4,6,2,3,1]=>21 [5,4,6,3,1,2]=>20 [5,4,6,3,2,1]=>26 [5,6,1,2,3,4]=>10 [5,6,1,2,4,3]=>16 [5,6,1,3,2,4]=>15 [5,6,1,3,4,2]=>17 [5,6,1,4,2,3]=>16 [5,6,1,4,3,2]=>22 [5,6,2,1,3,4]=>14 [5,6,2,1,4,3]=>20 [5,6,2,3,1,4]=>16 [5,6,2,3,4,1]=>18 [5,6,2,4,1,3]=>17 [5,6,2,4,3,1]=>23 [5,6,3,1,2,4]=>15 [5,6,3,1,4,2]=>21 [5,6,3,2,1,4]=>20 [5,6,3,2,4,1]=>22 [5,6,3,4,1,2]=>18 [5,6,3,4,2,1]=>24 [5,6,4,1,2,3]=>16 [5,6,4,1,3,2]=>22 [5,6,4,2,1,3]=>21 [5,6,4,2,3,1]=>23 [5,6,4,3,1,2]=>22 [5,6,4,3,2,1]=>28 [6,1,2,3,4,5]=>6 [6,1,2,3,5,4]=>12 [6,1,2,4,3,5]=>11 [6,1,2,4,5,3]=>13 [6,1,2,5,3,4]=>12 [6,1,2,5,4,3]=>18 [6,1,3,2,4,5]=>10 [6,1,3,2,5,4]=>16 [6,1,3,4,2,5]=>12 [6,1,3,4,5,2]=>14 [6,1,3,5,2,4]=>13 [6,1,3,5,4,2]=>19 [6,1,4,2,3,5]=>11 [6,1,4,2,5,3]=>17 [6,1,4,3,2,5]=>16 [6,1,4,3,5,2]=>18 [6,1,4,5,2,3]=>14 [6,1,4,5,3,2]=>20 [6,1,5,2,3,4]=>12 [6,1,5,2,4,3]=>18 [6,1,5,3,2,4]=>17 [6,1,5,3,4,2]=>19 [6,1,5,4,2,3]=>18 [6,1,5,4,3,2]=>24 [6,2,1,3,4,5]=>9 [6,2,1,3,5,4]=>15 [6,2,1,4,3,5]=>14 [6,2,1,4,5,3]=>16 [6,2,1,5,3,4]=>15 [6,2,1,5,4,3]=>21 [6,2,3,1,4,5]=>11 [6,2,3,1,5,4]=>17 [6,2,3,4,1,5]=>13 [6,2,3,4,5,1]=>15 [6,2,3,5,1,4]=>14 [6,2,3,5,4,1]=>20 [6,2,4,1,3,5]=>12 [6,2,4,1,5,3]=>18 [6,2,4,3,1,5]=>17 [6,2,4,3,5,1]=>19 [6,2,4,5,1,3]=>15 [6,2,4,5,3,1]=>21 [6,2,5,1,3,4]=>13 [6,2,5,1,4,3]=>19 [6,2,5,3,1,4]=>18 [6,2,5,3,4,1]=>20 [6,2,5,4,1,3]=>19 [6,2,5,4,3,1]=>25 [6,3,1,2,4,5]=>10 [6,3,1,2,5,4]=>16 [6,3,1,4,2,5]=>15 [6,3,1,4,5,2]=>17 [6,3,1,5,2,4]=>16 [6,3,1,5,4,2]=>22 [6,3,2,1,4,5]=>14 [6,3,2,1,5,4]=>20 [6,3,2,4,1,5]=>16 [6,3,2,4,5,1]=>18 [6,3,2,5,1,4]=>17 [6,3,2,5,4,1]=>23 [6,3,4,1,2,5]=>13 [6,3,4,1,5,2]=>19 [6,3,4,2,1,5]=>18 [6,3,4,2,5,1]=>20 [6,3,4,5,1,2]=>16 [6,3,4,5,2,1]=>22 [6,3,5,1,2,4]=>14 [6,3,5,1,4,2]=>20 [6,3,5,2,1,4]=>19 [6,3,5,2,4,1]=>21 [6,3,5,4,1,2]=>20 [6,3,5,4,2,1]=>26 [6,4,1,2,3,5]=>11 [6,4,1,2,5,3]=>17 [6,4,1,3,2,5]=>16 [6,4,1,3,5,2]=>18 [6,4,1,5,2,3]=>17 [6,4,1,5,3,2]=>23 [6,4,2,1,3,5]=>15 [6,4,2,1,5,3]=>21 [6,4,2,3,1,5]=>17 [6,4,2,3,5,1]=>19 [6,4,2,5,1,3]=>18 [6,4,2,5,3,1]=>24 [6,4,3,1,2,5]=>16 [6,4,3,1,5,2]=>22 [6,4,3,2,1,5]=>21 [6,4,3,2,5,1]=>23 [6,4,3,5,1,2]=>19 [6,4,3,5,2,1]=>25 [6,4,5,1,2,3]=>15 [6,4,5,1,3,2]=>21 [6,4,5,2,1,3]=>20 [6,4,5,2,3,1]=>22 [6,4,5,3,1,2]=>21 [6,4,5,3,2,1]=>27 [6,5,1,2,3,4]=>12 [6,5,1,2,4,3]=>18 [6,5,1,3,2,4]=>17 [6,5,1,3,4,2]=>19 [6,5,1,4,2,3]=>18 [6,5,1,4,3,2]=>24 [6,5,2,1,3,4]=>16 [6,5,2,1,4,3]=>22 [6,5,2,3,1,4]=>18 [6,5,2,3,4,1]=>20 [6,5,2,4,1,3]=>19 [6,5,2,4,3,1]=>25 [6,5,3,1,2,4]=>17 [6,5,3,1,4,2]=>23 [6,5,3,2,1,4]=>22 [6,5,3,2,4,1]=>24 [6,5,3,4,1,2]=>20 [6,5,3,4,2,1]=>26 [6,5,4,1,2,3]=>18 [6,5,4,1,3,2]=>24 [6,5,4,2,1,3]=>23 [6,5,4,2,3,1]=>25 [6,5,4,3,1,2]=>24 [6,5,4,3,2,1]=>30 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>7 [1,2,3,4,6,5,7]=>6 [1,2,3,4,6,7,5]=>8 [1,2,3,4,7,5,6]=>7 [1,2,3,4,7,6,5]=>14 [1,2,3,5,4,6,7]=>5 [1,2,3,5,4,7,6]=>12 [1,2,3,5,6,4,7]=>7 [1,2,3,5,6,7,4]=>9 [1,2,3,5,7,4,6]=>8 [1,2,3,5,7,6,4]=>15 [1,2,3,6,4,5,7]=>6 [1,2,3,6,4,7,5]=>13 [1,2,3,6,5,4,7]=>12 [1,2,3,6,5,7,4]=>14 [1,2,3,6,7,4,5]=>9 [1,2,3,6,7,5,4]=>16 [1,2,3,7,4,5,6]=>7 [1,2,3,7,4,6,5]=>14 [1,2,3,7,5,4,6]=>13 [1,2,3,7,5,6,4]=>15 [1,2,3,7,6,4,5]=>14 [1,2,3,7,6,5,4]=>21 [1,2,4,3,5,6,7]=>4 [1,2,4,3,5,7,6]=>11 [1,2,4,3,6,5,7]=>10 [1,2,4,3,6,7,5]=>12 [1,2,4,3,7,5,6]=>11 [1,2,4,3,7,6,5]=>18 [1,2,4,5,3,6,7]=>6 [1,2,4,5,3,7,6]=>13 [1,2,4,5,6,3,7]=>8 [1,2,4,5,6,7,3]=>10 [1,2,4,5,7,3,6]=>9 [1,2,4,5,7,6,3]=>16 [1,2,4,6,3,5,7]=>7 [1,2,4,6,3,7,5]=>14 [1,2,4,6,5,3,7]=>13 [1,2,4,6,5,7,3]=>15 [1,2,4,6,7,3,5]=>10 [1,2,4,6,7,5,3]=>17 [1,2,4,7,3,5,6]=>8 [1,2,4,7,3,6,5]=>15 [1,2,4,7,5,3,6]=>14 [1,2,4,7,5,6,3]=>16 [1,2,4,7,6,3,5]=>15 [1,2,4,7,6,5,3]=>22 [1,2,5,3,4,6,7]=>5 [1,2,5,3,4,7,6]=>12 [1,2,5,3,6,4,7]=>11 [1,2,5,3,6,7,4]=>13 [1,2,5,3,7,4,6]=>12 [1,2,5,3,7,6,4]=>19 [1,2,5,4,3,6,7]=>10 [1,2,5,4,3,7,6]=>17 [1,2,5,4,6,3,7]=>12 [1,2,5,4,6,7,3]=>14 [1,2,5,4,7,3,6]=>13 [1,2,5,4,7,6,3]=>20 [1,2,5,6,3,4,7]=>8 [1,2,5,6,3,7,4]=>15 [1,2,5,6,4,3,7]=>14 [1,2,5,6,4,7,3]=>16 [1,2,5,6,7,3,4]=>11 [1,2,5,6,7,4,3]=>18 [1,2,5,7,3,4,6]=>9 [1,2,5,7,3,6,4]=>16 [1,2,5,7,4,3,6]=>15 [1,2,5,7,4,6,3]=>17 [1,2,5,7,6,3,4]=>16 [1,2,5,7,6,4,3]=>23 [1,2,6,3,4,5,7]=>6 [1,2,6,3,4,7,5]=>13 [1,2,6,3,5,4,7]=>12 [1,2,6,3,5,7,4]=>14 [1,2,6,3,7,4,5]=>13 [1,2,6,3,7,5,4]=>20 [1,2,6,4,3,5,7]=>11 [1,2,6,4,3,7,5]=>18 [1,2,6,4,5,3,7]=>13 [1,2,6,4,5,7,3]=>15 [1,2,6,4,7,3,5]=>14 [1,2,6,4,7,5,3]=>21 [1,2,6,5,3,4,7]=>12 [1,2,6,5,3,7,4]=>19 [1,2,6,5,4,3,7]=>18 [1,2,6,5,4,7,3]=>20 [1,2,6,5,7,3,4]=>15 [1,2,6,5,7,4,3]=>22 [1,2,6,7,3,4,5]=>10 [1,2,6,7,3,5,4]=>17 [1,2,6,7,4,3,5]=>16 [1,2,6,7,4,5,3]=>18 [1,2,6,7,5,3,4]=>17 [1,2,6,7,5,4,3]=>24 [1,2,7,3,4,5,6]=>7 [1,2,7,3,4,6,5]=>14 [1,2,7,3,5,4,6]=>13 [1,2,7,3,5,6,4]=>15 [1,2,7,3,6,4,5]=>14 [1,2,7,3,6,5,4]=>21 [1,2,7,4,3,5,6]=>12 [1,2,7,4,3,6,5]=>19 [1,2,7,4,5,3,6]=>14 [1,2,7,4,5,6,3]=>16 [1,2,7,4,6,3,5]=>15 [1,2,7,4,6,5,3]=>22 [1,2,7,5,3,4,6]=>13 [1,2,7,5,3,6,4]=>20 [1,2,7,5,4,3,6]=>19 [1,2,7,5,4,6,3]=>21 [1,2,7,5,6,3,4]=>16 [1,2,7,5,6,4,3]=>23 [1,2,7,6,3,4,5]=>14 [1,2,7,6,3,5,4]=>21 [1,2,7,6,4,3,5]=>20 [1,2,7,6,4,5,3]=>22 [1,2,7,6,5,3,4]=>21 [1,2,7,6,5,4,3]=>28 [1,3,2,4,5,6,7]=>3 [1,3,2,4,5,7,6]=>10 [1,3,2,4,6,5,7]=>9 [1,3,2,4,6,7,5]=>11 [1,3,2,4,7,5,6]=>10 [1,3,2,4,7,6,5]=>17 [1,3,2,5,4,6,7]=>8 [1,3,2,5,4,7,6]=>15 [1,3,2,5,6,4,7]=>10 [1,3,2,5,6,7,4]=>12 [1,3,2,5,7,4,6]=>11 [1,3,2,5,7,6,4]=>18 [1,3,2,6,4,5,7]=>9 [1,3,2,6,4,7,5]=>16 [1,3,2,6,5,4,7]=>15 [1,3,2,6,5,7,4]=>17 [1,3,2,6,7,4,5]=>12 [1,3,2,6,7,5,4]=>19 [1,3,2,7,4,5,6]=>10 [1,3,2,7,4,6,5]=>17 [1,3,2,7,5,4,6]=>16 [1,3,2,7,5,6,4]=>18 [1,3,2,7,6,4,5]=>17 [1,3,2,7,6,5,4]=>24 [1,3,4,2,5,6,7]=>5 [1,3,4,2,5,7,6]=>12 [1,3,4,2,6,5,7]=>11 [1,3,4,2,6,7,5]=>13 [1,3,4,2,7,5,6]=>12 [1,3,4,2,7,6,5]=>19 [1,3,4,5,2,6,7]=>7 [1,3,4,5,2,7,6]=>14 [1,3,4,5,6,2,7]=>9 [1,3,4,5,6,7,2]=>11 [1,3,4,5,7,2,6]=>10 [1,3,4,5,7,6,2]=>17 [1,3,4,6,2,5,7]=>8 [1,3,4,6,2,7,5]=>15 [1,3,4,6,5,2,7]=>14 [1,3,4,6,5,7,2]=>16 [1,3,4,6,7,2,5]=>11 [1,3,4,6,7,5,2]=>18 [1,3,4,7,2,5,6]=>9 [1,3,4,7,2,6,5]=>16 [1,3,4,7,5,2,6]=>15 [1,3,4,7,5,6,2]=>17 [1,3,4,7,6,2,5]=>16 [1,3,4,7,6,5,2]=>23 [1,3,5,2,4,6,7]=>6 [1,3,5,2,4,7,6]=>13 [1,3,5,2,6,4,7]=>12 [1,3,5,2,6,7,4]=>14 [1,3,5,2,7,4,6]=>13 [1,3,5,2,7,6,4]=>20 [1,3,5,4,2,6,7]=>11 [1,3,5,4,2,7,6]=>18 [1,3,5,4,6,2,7]=>13 [1,3,5,4,6,7,2]=>15 [1,3,5,4,7,2,6]=>14 [1,3,5,4,7,6,2]=>21 [1,3,5,6,2,4,7]=>9 [1,3,5,6,2,7,4]=>16 [1,3,5,6,4,2,7]=>15 [1,3,5,6,4,7,2]=>17 [1,3,5,6,7,2,4]=>12 [1,3,5,6,7,4,2]=>19 [1,3,5,7,2,4,6]=>10 [1,3,5,7,2,6,4]=>17 [1,3,5,7,4,2,6]=>16 [1,3,5,7,4,6,2]=>18 [1,3,5,7,6,2,4]=>17 [1,3,5,7,6,4,2]=>24 [1,3,6,2,4,5,7]=>7 [1,3,6,2,4,7,5]=>14 [1,3,6,2,5,4,7]=>13 [1,3,6,2,5,7,4]=>15 [1,3,6,2,7,4,5]=>14 [1,3,6,2,7,5,4]=>21 [1,3,6,4,2,5,7]=>12 [1,3,6,4,2,7,5]=>19 [1,3,6,4,5,2,7]=>14 [1,3,6,4,5,7,2]=>16 [1,3,6,4,7,2,5]=>15 [1,3,6,4,7,5,2]=>22 [1,3,6,5,2,4,7]=>13 [1,3,6,5,2,7,4]=>20 [1,3,6,5,4,2,7]=>19 [1,3,6,5,4,7,2]=>21 [1,3,6,5,7,2,4]=>16 [1,3,6,5,7,4,2]=>23 [1,3,6,7,2,4,5]=>11 [1,3,6,7,2,5,4]=>18 [1,3,6,7,4,2,5]=>17 [1,3,6,7,4,5,2]=>19 [1,3,6,7,5,2,4]=>18 [1,3,6,7,5,4,2]=>25 [1,3,7,2,4,5,6]=>8 [1,3,7,2,4,6,5]=>15 [1,3,7,2,5,4,6]=>14 [1,3,7,2,5,6,4]=>16 [1,3,7,2,6,4,5]=>15 [1,3,7,2,6,5,4]=>22 [1,3,7,4,2,5,6]=>13 [1,3,7,4,2,6,5]=>20 [1,3,7,4,5,2,6]=>15 [1,3,7,4,5,6,2]=>17 [1,3,7,4,6,2,5]=>16 [1,3,7,4,6,5,2]=>23 [1,3,7,5,2,4,6]=>14 [1,3,7,5,2,6,4]=>21 [1,3,7,5,4,2,6]=>20 [1,3,7,5,4,6,2]=>22 [1,3,7,5,6,2,4]=>17 [1,3,7,5,6,4,2]=>24 [1,3,7,6,2,4,5]=>15 [1,3,7,6,2,5,4]=>22 [1,3,7,6,4,2,5]=>21 [1,3,7,6,4,5,2]=>23 [1,3,7,6,5,2,4]=>22 [1,3,7,6,5,4,2]=>29 [1,4,2,3,5,6,7]=>4 [1,4,2,3,5,7,6]=>11 [1,4,2,3,6,5,7]=>10 [1,4,2,3,6,7,5]=>12 [1,4,2,3,7,5,6]=>11 [1,4,2,3,7,6,5]=>18 [1,4,2,5,3,6,7]=>9 [1,4,2,5,3,7,6]=>16 [1,4,2,5,6,3,7]=>11 [1,4,2,5,6,7,3]=>13 [1,4,2,5,7,3,6]=>12 [1,4,2,5,7,6,3]=>19 [1,4,2,6,3,5,7]=>10 [1,4,2,6,3,7,5]=>17 [1,4,2,6,5,3,7]=>16 [1,4,2,6,5,7,3]=>18 [1,4,2,6,7,3,5]=>13 [1,4,2,6,7,5,3]=>20 [1,4,2,7,3,5,6]=>11 [1,4,2,7,3,6,5]=>18 [1,4,2,7,5,3,6]=>17 [1,4,2,7,5,6,3]=>19 [1,4,2,7,6,3,5]=>18 [1,4,2,7,6,5,3]=>25 [1,4,3,2,5,6,7]=>8 [1,4,3,2,5,7,6]=>15 [1,4,3,2,6,5,7]=>14 [1,4,3,2,6,7,5]=>16 [1,4,3,2,7,5,6]=>15 [1,4,3,2,7,6,5]=>22 [1,4,3,5,2,6,7]=>10 [1,4,3,5,2,7,6]=>17 [1,4,3,5,6,2,7]=>12 [1,4,3,5,6,7,2]=>14 [1,4,3,5,7,2,6]=>13 [1,4,3,5,7,6,2]=>20 [1,4,3,6,2,5,7]=>11 [1,4,3,6,2,7,5]=>18 [1,4,3,6,5,2,7]=>17 [1,4,3,6,5,7,2]=>19 [1,4,3,6,7,2,5]=>14 [1,4,3,6,7,5,2]=>21 [1,4,3,7,2,5,6]=>12 [1,4,3,7,2,6,5]=>19 [1,4,3,7,5,2,6]=>18 [1,4,3,7,5,6,2]=>20 [1,4,3,7,6,2,5]=>19 [1,4,3,7,6,5,2]=>26 [1,4,5,2,3,6,7]=>7 [1,4,5,2,3,7,6]=>14 [1,4,5,2,6,3,7]=>13 [1,4,5,2,6,7,3]=>15 [1,4,5,2,7,3,6]=>14 [1,4,5,2,7,6,3]=>21 [1,4,5,3,2,6,7]=>12 [1,4,5,3,2,7,6]=>19 [1,4,5,3,6,2,7]=>14 [1,4,5,3,6,7,2]=>16 [1,4,5,3,7,2,6]=>15 [1,4,5,3,7,6,2]=>22 [1,4,5,6,2,3,7]=>10 [1,4,5,6,2,7,3]=>17 [1,4,5,6,3,2,7]=>16 [1,4,5,6,3,7,2]=>18 [1,4,5,6,7,2,3]=>13 [1,4,5,6,7,3,2]=>20 [1,4,5,7,2,3,6]=>11 [1,4,5,7,2,6,3]=>18 [1,4,5,7,3,2,6]=>17 [1,4,5,7,3,6,2]=>19 [1,4,5,7,6,2,3]=>18 [1,4,5,7,6,3,2]=>25 [1,4,6,2,3,5,7]=>8 [1,4,6,2,3,7,5]=>15 [1,4,6,2,5,3,7]=>14 [1,4,6,2,5,7,3]=>16 [1,4,6,2,7,3,5]=>15 [1,4,6,2,7,5,3]=>22 [1,4,6,3,2,5,7]=>13 [1,4,6,3,2,7,5]=>20 [1,4,6,3,5,2,7]=>15 [1,4,6,3,5,7,2]=>17 [1,4,6,3,7,2,5]=>16 [1,4,6,3,7,5,2]=>23 [1,4,6,5,2,3,7]=>14 [1,4,6,5,2,7,3]=>21 [1,4,6,5,3,2,7]=>20
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 inversions plus the major index of a permutation.
This is, the sum of St000004The major index of a permutation. and St000018The number of inversions of a permutation..
References
[1] Wachs, M. L. An involution for signed Eulerian numbers MathSciNet:1158780
Code
def statistic(pi):
    return pi.major_index() + pi.number_of_inversions()

Created
Mar 30, 2019 at 08:54 by Christian Stump
Updated
Mar 30, 2019 at 08:54 by Christian Stump