Identifier
-
Mp00254:
Permutations
—Inverse fireworks map⟶
Permutations
St000280: Permutations ⟶ ℤ
Values
[1,2] => [1,2] => 2
[2,1] => [2,1] => 1
[1,2,3] => [1,2,3] => 5
[1,3,2] => [1,3,2] => 3
[2,1,3] => [2,1,3] => 2
[2,3,1] => [1,3,2] => 3
[3,1,2] => [3,1,2] => 2
[3,2,1] => [3,2,1] => 1
[1,2,3,4] => [1,2,3,4] => 14
[1,2,4,3] => [1,2,4,3] => 9
[1,3,2,4] => [1,3,2,4] => 7
[1,3,4,2] => [1,2,4,3] => 9
[1,4,2,3] => [1,4,2,3] => 7
[1,4,3,2] => [1,4,3,2] => 4
[2,1,3,4] => [2,1,3,4] => 5
[2,1,4,3] => [2,1,4,3] => 3
[2,3,1,4] => [1,3,2,4] => 7
[2,3,4,1] => [1,2,4,3] => 9
[2,4,1,3] => [2,4,1,3] => 7
[2,4,3,1] => [1,4,3,2] => 4
[3,1,2,4] => [3,1,2,4] => 5
[3,1,4,2] => [2,1,4,3] => 3
[3,2,1,4] => [3,2,1,4] => 2
[3,2,4,1] => [2,1,4,3] => 3
[3,4,1,2] => [2,4,1,3] => 7
[3,4,2,1] => [1,4,3,2] => 4
[4,1,2,3] => [4,1,2,3] => 5
[4,1,3,2] => [4,1,3,2] => 3
[4,2,1,3] => [4,2,1,3] => 2
[4,2,3,1] => [4,1,3,2] => 3
[4,3,1,2] => [4,3,1,2] => 2
[4,3,2,1] => [4,3,2,1] => 1
[1,2,3,4,5] => [1,2,3,4,5] => 42
[1,2,3,5,4] => [1,2,3,5,4] => 28
[1,2,4,3,5] => [1,2,4,3,5] => 23
[1,2,4,5,3] => [1,2,3,5,4] => 28
[1,2,5,3,4] => [1,2,5,3,4] => 23
[1,2,5,4,3] => [1,2,5,4,3] => 14
[1,3,2,4,5] => [1,3,2,4,5] => 19
[1,3,2,5,4] => [1,3,2,5,4] => 12
[1,3,4,2,5] => [1,2,4,3,5] => 23
[1,3,4,5,2] => [1,2,3,5,4] => 28
[1,3,5,2,4] => [1,3,5,2,4] => 23
[1,3,5,4,2] => [1,2,5,4,3] => 14
[1,4,2,3,5] => [1,4,2,3,5] => 19
[1,4,2,5,3] => [1,3,2,5,4] => 12
[1,4,3,2,5] => [1,4,3,2,5] => 9
[1,4,3,5,2] => [1,3,2,5,4] => 12
[1,4,5,2,3] => [1,3,5,2,4] => 23
[1,4,5,3,2] => [1,2,5,4,3] => 14
[1,5,2,3,4] => [1,5,2,3,4] => 19
[1,5,2,4,3] => [1,5,2,4,3] => 12
[1,5,3,2,4] => [1,5,3,2,4] => 9
[1,5,3,4,2] => [1,5,2,4,3] => 12
[1,5,4,2,3] => [1,5,4,2,3] => 9
[1,5,4,3,2] => [1,5,4,3,2] => 5
[2,1,3,4,5] => [2,1,3,4,5] => 14
[2,1,3,5,4] => [2,1,3,5,4] => 9
[2,1,4,3,5] => [2,1,4,3,5] => 7
[2,1,4,5,3] => [2,1,3,5,4] => 9
[2,1,5,3,4] => [2,1,5,3,4] => 7
[2,1,5,4,3] => [2,1,5,4,3] => 4
[2,3,1,4,5] => [1,3,2,4,5] => 19
[2,3,1,5,4] => [1,3,2,5,4] => 12
[2,3,4,1,5] => [1,2,4,3,5] => 23
[2,3,4,5,1] => [1,2,3,5,4] => 28
[2,3,5,1,4] => [1,3,5,2,4] => 23
[2,3,5,4,1] => [1,2,5,4,3] => 14
[2,4,1,3,5] => [2,4,1,3,5] => 19
[2,4,1,5,3] => [1,3,2,5,4] => 12
[2,4,3,1,5] => [1,4,3,2,5] => 9
[2,4,3,5,1] => [1,3,2,5,4] => 12
[2,4,5,1,3] => [1,3,5,2,4] => 23
[2,4,5,3,1] => [1,2,5,4,3] => 14
[2,5,1,3,4] => [2,5,1,3,4] => 19
[2,5,1,4,3] => [2,5,1,4,3] => 12
[2,5,3,1,4] => [1,5,3,2,4] => 9
[2,5,3,4,1] => [1,5,2,4,3] => 12
[2,5,4,1,3] => [2,5,4,1,3] => 9
[2,5,4,3,1] => [1,5,4,3,2] => 5
[3,1,2,4,5] => [3,1,2,4,5] => 14
[3,1,2,5,4] => [3,1,2,5,4] => 9
[3,1,4,2,5] => [2,1,4,3,5] => 7
[3,1,4,5,2] => [2,1,3,5,4] => 9
[3,1,5,2,4] => [3,1,5,2,4] => 7
[3,1,5,4,2] => [2,1,5,4,3] => 4
[3,2,1,4,5] => [3,2,1,4,5] => 5
[3,2,1,5,4] => [3,2,1,5,4] => 3
[3,2,4,1,5] => [2,1,4,3,5] => 7
[3,2,4,5,1] => [2,1,3,5,4] => 9
[3,2,5,1,4] => [3,2,5,1,4] => 7
[3,2,5,4,1] => [2,1,5,4,3] => 4
[3,4,1,2,5] => [2,4,1,3,5] => 19
[3,4,1,5,2] => [1,3,2,5,4] => 12
[3,4,2,1,5] => [1,4,3,2,5] => 9
[3,4,2,5,1] => [1,3,2,5,4] => 12
[3,4,5,1,2] => [1,3,5,2,4] => 23
[3,4,5,2,1] => [1,2,5,4,3] => 14
[3,5,1,2,4] => [3,5,1,2,4] => 19
[3,5,1,4,2] => [2,5,1,4,3] => 12
[3,5,2,1,4] => [3,5,2,1,4] => 9
>>> Load all 1961 entries. <<<[3,5,2,4,1] => [2,5,1,4,3] => 12
[3,5,4,1,2] => [2,5,4,1,3] => 9
[3,5,4,2,1] => [1,5,4,3,2] => 5
[4,1,2,3,5] => [4,1,2,3,5] => 14
[4,1,2,5,3] => [3,1,2,5,4] => 9
[4,1,3,2,5] => [4,1,3,2,5] => 7
[4,1,3,5,2] => [3,1,2,5,4] => 9
[4,1,5,2,3] => [3,1,5,2,4] => 7
[4,1,5,3,2] => [2,1,5,4,3] => 4
[4,2,1,3,5] => [4,2,1,3,5] => 5
[4,2,1,5,3] => [3,2,1,5,4] => 3
[4,2,3,1,5] => [4,1,3,2,5] => 7
[4,2,3,5,1] => [3,1,2,5,4] => 9
[4,2,5,1,3] => [3,2,5,1,4] => 7
[4,2,5,3,1] => [2,1,5,4,3] => 4
[4,3,1,2,5] => [4,3,1,2,5] => 5
[4,3,1,5,2] => [3,2,1,5,4] => 3
[4,3,2,1,5] => [4,3,2,1,5] => 2
[4,3,2,5,1] => [3,2,1,5,4] => 3
[4,3,5,1,2] => [3,2,5,1,4] => 7
[4,3,5,2,1] => [2,1,5,4,3] => 4
[4,5,1,2,3] => [3,5,1,2,4] => 19
[4,5,1,3,2] => [2,5,1,4,3] => 12
[4,5,2,1,3] => [3,5,2,1,4] => 9
[4,5,2,3,1] => [2,5,1,4,3] => 12
[4,5,3,1,2] => [2,5,4,1,3] => 9
[4,5,3,2,1] => [1,5,4,3,2] => 5
[5,1,2,3,4] => [5,1,2,3,4] => 14
[5,1,2,4,3] => [5,1,2,4,3] => 9
[5,1,3,2,4] => [5,1,3,2,4] => 7
[5,1,3,4,2] => [5,1,2,4,3] => 9
[5,1,4,2,3] => [5,1,4,2,3] => 7
[5,1,4,3,2] => [5,1,4,3,2] => 4
[5,2,1,3,4] => [5,2,1,3,4] => 5
[5,2,1,4,3] => [5,2,1,4,3] => 3
[5,2,3,1,4] => [5,1,3,2,4] => 7
[5,2,3,4,1] => [5,1,2,4,3] => 9
[5,2,4,1,3] => [5,2,4,1,3] => 7
[5,2,4,3,1] => [5,1,4,3,2] => 4
[5,3,1,2,4] => [5,3,1,2,4] => 5
[5,3,1,4,2] => [5,2,1,4,3] => 3
[5,3,2,1,4] => [5,3,2,1,4] => 2
[5,3,2,4,1] => [5,2,1,4,3] => 3
[5,3,4,1,2] => [5,2,4,1,3] => 7
[5,3,4,2,1] => [5,1,4,3,2] => 4
[5,4,1,2,3] => [5,4,1,2,3] => 5
[5,4,1,3,2] => [5,4,1,3,2] => 3
[5,4,2,1,3] => [5,4,2,1,3] => 2
[5,4,2,3,1] => [5,4,1,3,2] => 3
[5,4,3,1,2] => [5,4,3,1,2] => 2
[5,4,3,2,1] => [5,4,3,2,1] => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 132
[1,2,3,4,6,5] => [1,2,3,4,6,5] => 90
[1,2,3,5,4,6] => [1,2,3,5,4,6] => 76
[1,2,3,5,6,4] => [1,2,3,4,6,5] => 90
[1,2,3,6,4,5] => [1,2,3,6,4,5] => 76
[1,2,3,6,5,4] => [1,2,3,6,5,4] => 48
[1,2,4,3,5,6] => [1,2,4,3,5,6] => 66
[1,2,4,3,6,5] => [1,2,4,3,6,5] => 43
[1,2,4,5,3,6] => [1,2,3,5,4,6] => 76
[1,2,4,5,6,3] => [1,2,3,4,6,5] => 90
[1,2,4,6,3,5] => [1,2,4,6,3,5] => 76
[1,2,4,6,5,3] => [1,2,3,6,5,4] => 48
[1,2,5,3,4,6] => [1,2,5,3,4,6] => 66
[1,2,5,3,6,4] => [1,2,4,3,6,5] => 43
[1,2,5,4,3,6] => [1,2,5,4,3,6] => 34
[1,2,5,4,6,3] => [1,2,4,3,6,5] => 43
[1,2,5,6,3,4] => [1,2,4,6,3,5] => 76
[1,2,5,6,4,3] => [1,2,3,6,5,4] => 48
[1,2,6,3,4,5] => [1,2,6,3,4,5] => 66
[1,2,6,3,5,4] => [1,2,6,3,5,4] => 43
[1,2,6,4,3,5] => [1,2,6,4,3,5] => 34
[1,2,6,4,5,3] => [1,2,6,3,5,4] => 43
[1,2,6,5,3,4] => [1,2,6,5,3,4] => 34
[1,2,6,5,4,3] => [1,2,6,5,4,3] => 20
[1,3,2,4,5,6] => [1,3,2,4,5,6] => 56
[1,3,2,4,6,5] => [1,3,2,4,6,5] => 37
[1,3,2,5,4,6] => [1,3,2,5,4,6] => 30
[1,3,2,5,6,4] => [1,3,2,4,6,5] => 37
[1,3,2,6,4,5] => [1,3,2,6,4,5] => 30
[1,3,2,6,5,4] => [1,3,2,6,5,4] => 18
[1,3,4,2,5,6] => [1,2,4,3,5,6] => 66
[1,3,4,2,6,5] => [1,2,4,3,6,5] => 43
[1,3,4,5,2,6] => [1,2,3,5,4,6] => 76
[1,3,4,5,6,2] => [1,2,3,4,6,5] => 90
[1,3,4,6,2,5] => [1,2,4,6,3,5] => 76
[1,3,4,6,5,2] => [1,2,3,6,5,4] => 48
[1,3,5,2,4,6] => [1,3,5,2,4,6] => 66
[1,3,5,2,6,4] => [1,2,4,3,6,5] => 43
[1,3,5,4,2,6] => [1,2,5,4,3,6] => 34
[1,3,5,4,6,2] => [1,2,4,3,6,5] => 43
[1,3,5,6,2,4] => [1,2,4,6,3,5] => 76
[1,3,5,6,4,2] => [1,2,3,6,5,4] => 48
[1,3,6,2,4,5] => [1,3,6,2,4,5] => 66
[1,3,6,2,5,4] => [1,3,6,2,5,4] => 43
[1,3,6,4,2,5] => [1,2,6,4,3,5] => 34
[1,3,6,4,5,2] => [1,2,6,3,5,4] => 43
[1,3,6,5,2,4] => [1,3,6,5,2,4] => 34
[1,3,6,5,4,2] => [1,2,6,5,4,3] => 20
[1,4,2,3,5,6] => [1,4,2,3,5,6] => 56
[1,4,2,3,6,5] => [1,4,2,3,6,5] => 37
[1,4,2,5,3,6] => [1,3,2,5,4,6] => 30
[1,4,2,5,6,3] => [1,3,2,4,6,5] => 37
[1,4,2,6,3,5] => [1,4,2,6,3,5] => 30
[1,4,2,6,5,3] => [1,3,2,6,5,4] => 18
[1,4,3,2,5,6] => [1,4,3,2,5,6] => 24
[1,4,3,2,6,5] => [1,4,3,2,6,5] => 15
[1,4,3,5,2,6] => [1,3,2,5,4,6] => 30
[1,4,3,5,6,2] => [1,3,2,4,6,5] => 37
[1,4,3,6,2,5] => [1,4,3,6,2,5] => 30
[1,4,3,6,5,2] => [1,3,2,6,5,4] => 18
[1,4,5,2,3,6] => [1,3,5,2,4,6] => 66
[1,4,5,2,6,3] => [1,2,4,3,6,5] => 43
[1,4,5,3,2,6] => [1,2,5,4,3,6] => 34
[1,4,5,3,6,2] => [1,2,4,3,6,5] => 43
[1,4,5,6,2,3] => [1,2,4,6,3,5] => 76
[1,4,5,6,3,2] => [1,2,3,6,5,4] => 48
[1,4,6,2,3,5] => [1,4,6,2,3,5] => 66
[1,4,6,2,5,3] => [1,3,6,2,5,4] => 43
[1,4,6,3,2,5] => [1,4,6,3,2,5] => 34
[1,4,6,3,5,2] => [1,3,6,2,5,4] => 43
[1,4,6,5,2,3] => [1,3,6,5,2,4] => 34
[1,4,6,5,3,2] => [1,2,6,5,4,3] => 20
[1,5,2,3,4,6] => [1,5,2,3,4,6] => 56
[1,5,2,3,6,4] => [1,4,2,3,6,5] => 37
[1,5,2,4,3,6] => [1,5,2,4,3,6] => 30
[1,5,2,4,6,3] => [1,4,2,3,6,5] => 37
[1,5,2,6,3,4] => [1,4,2,6,3,5] => 30
[1,5,2,6,4,3] => [1,3,2,6,5,4] => 18
[1,5,3,2,4,6] => [1,5,3,2,4,6] => 24
[1,5,3,2,6,4] => [1,4,3,2,6,5] => 15
[1,5,3,4,2,6] => [1,5,2,4,3,6] => 30
[1,5,3,4,6,2] => [1,4,2,3,6,5] => 37
[1,5,3,6,2,4] => [1,4,3,6,2,5] => 30
[1,5,3,6,4,2] => [1,3,2,6,5,4] => 18
[1,5,4,2,3,6] => [1,5,4,2,3,6] => 24
[1,5,4,2,6,3] => [1,4,3,2,6,5] => 15
[1,5,4,3,2,6] => [1,5,4,3,2,6] => 11
[1,5,4,3,6,2] => [1,4,3,2,6,5] => 15
[1,5,4,6,2,3] => [1,4,3,6,2,5] => 30
[1,5,4,6,3,2] => [1,3,2,6,5,4] => 18
[1,5,6,2,3,4] => [1,4,6,2,3,5] => 66
[1,5,6,2,4,3] => [1,3,6,2,5,4] => 43
[1,5,6,3,2,4] => [1,4,6,3,2,5] => 34
[1,5,6,3,4,2] => [1,3,6,2,5,4] => 43
[1,5,6,4,2,3] => [1,3,6,5,2,4] => 34
[1,5,6,4,3,2] => [1,2,6,5,4,3] => 20
[1,6,2,3,4,5] => [1,6,2,3,4,5] => 56
[1,6,2,3,5,4] => [1,6,2,3,5,4] => 37
[1,6,2,4,3,5] => [1,6,2,4,3,5] => 30
[1,6,2,4,5,3] => [1,6,2,3,5,4] => 37
[1,6,2,5,3,4] => [1,6,2,5,3,4] => 30
[1,6,2,5,4,3] => [1,6,2,5,4,3] => 18
[1,6,3,2,4,5] => [1,6,3,2,4,5] => 24
[1,6,3,2,5,4] => [1,6,3,2,5,4] => 15
[1,6,3,4,2,5] => [1,6,2,4,3,5] => 30
[1,6,3,4,5,2] => [1,6,2,3,5,4] => 37
[1,6,3,5,2,4] => [1,6,3,5,2,4] => 30
[1,6,3,5,4,2] => [1,6,2,5,4,3] => 18
[1,6,4,2,3,5] => [1,6,4,2,3,5] => 24
[1,6,4,2,5,3] => [1,6,3,2,5,4] => 15
[1,6,4,3,2,5] => [1,6,4,3,2,5] => 11
[1,6,4,3,5,2] => [1,6,3,2,5,4] => 15
[1,6,4,5,2,3] => [1,6,3,5,2,4] => 30
[1,6,4,5,3,2] => [1,6,2,5,4,3] => 18
[1,6,5,2,3,4] => [1,6,5,2,3,4] => 24
[1,6,5,2,4,3] => [1,6,5,2,4,3] => 15
[1,6,5,3,2,4] => [1,6,5,3,2,4] => 11
[1,6,5,3,4,2] => [1,6,5,2,4,3] => 15
[1,6,5,4,2,3] => [1,6,5,4,2,3] => 11
[1,6,5,4,3,2] => [1,6,5,4,3,2] => 6
[2,1,3,4,5,6] => [2,1,3,4,5,6] => 42
[2,1,3,4,6,5] => [2,1,3,4,6,5] => 28
[2,1,3,5,4,6] => [2,1,3,5,4,6] => 23
[2,1,3,5,6,4] => [2,1,3,4,6,5] => 28
[2,1,3,6,4,5] => [2,1,3,6,4,5] => 23
[2,1,3,6,5,4] => [2,1,3,6,5,4] => 14
[2,1,4,3,5,6] => [2,1,4,3,5,6] => 19
[2,1,4,3,6,5] => [2,1,4,3,6,5] => 12
[2,1,4,5,3,6] => [2,1,3,5,4,6] => 23
[2,1,4,5,6,3] => [2,1,3,4,6,5] => 28
[2,1,4,6,3,5] => [2,1,4,6,3,5] => 23
[2,1,4,6,5,3] => [2,1,3,6,5,4] => 14
[2,1,5,3,4,6] => [2,1,5,3,4,6] => 19
[2,1,5,3,6,4] => [2,1,4,3,6,5] => 12
[2,1,5,4,3,6] => [2,1,5,4,3,6] => 9
[2,1,5,4,6,3] => [2,1,4,3,6,5] => 12
[2,1,5,6,3,4] => [2,1,4,6,3,5] => 23
[2,1,5,6,4,3] => [2,1,3,6,5,4] => 14
[2,1,6,3,4,5] => [2,1,6,3,4,5] => 19
[2,1,6,3,5,4] => [2,1,6,3,5,4] => 12
[2,1,6,4,3,5] => [2,1,6,4,3,5] => 9
[2,1,6,4,5,3] => [2,1,6,3,5,4] => 12
[2,1,6,5,3,4] => [2,1,6,5,3,4] => 9
[2,1,6,5,4,3] => [2,1,6,5,4,3] => 5
[2,3,1,4,5,6] => [1,3,2,4,5,6] => 56
[2,3,1,4,6,5] => [1,3,2,4,6,5] => 37
[2,3,1,5,4,6] => [1,3,2,5,4,6] => 30
[2,3,1,5,6,4] => [1,3,2,4,6,5] => 37
[2,3,1,6,4,5] => [1,3,2,6,4,5] => 30
[2,3,1,6,5,4] => [1,3,2,6,5,4] => 18
[2,3,4,1,5,6] => [1,2,4,3,5,6] => 66
[2,3,4,1,6,5] => [1,2,4,3,6,5] => 43
[2,3,4,5,1,6] => [1,2,3,5,4,6] => 76
[2,3,4,5,6,1] => [1,2,3,4,6,5] => 90
[2,3,4,6,1,5] => [1,2,4,6,3,5] => 76
[2,3,4,6,5,1] => [1,2,3,6,5,4] => 48
[2,3,5,1,4,6] => [1,3,5,2,4,6] => 66
[2,3,5,1,6,4] => [1,2,4,3,6,5] => 43
[2,3,5,4,1,6] => [1,2,5,4,3,6] => 34
[2,3,5,4,6,1] => [1,2,4,3,6,5] => 43
[2,3,5,6,1,4] => [1,2,4,6,3,5] => 76
[2,3,5,6,4,1] => [1,2,3,6,5,4] => 48
[2,3,6,1,4,5] => [1,3,6,2,4,5] => 66
[2,3,6,1,5,4] => [1,3,6,2,5,4] => 43
[2,3,6,4,1,5] => [1,2,6,4,3,5] => 34
[2,3,6,4,5,1] => [1,2,6,3,5,4] => 43
[2,3,6,5,1,4] => [1,3,6,5,2,4] => 34
[2,3,6,5,4,1] => [1,2,6,5,4,3] => 20
[2,4,1,3,5,6] => [2,4,1,3,5,6] => 56
[2,4,1,3,6,5] => [2,4,1,3,6,5] => 37
[2,4,1,5,3,6] => [1,3,2,5,4,6] => 30
[2,4,1,5,6,3] => [1,3,2,4,6,5] => 37
[2,4,1,6,3,5] => [2,4,1,6,3,5] => 30
[2,4,1,6,5,3] => [1,3,2,6,5,4] => 18
[2,4,3,1,5,6] => [1,4,3,2,5,6] => 24
[2,4,3,1,6,5] => [1,4,3,2,6,5] => 15
[2,4,3,5,1,6] => [1,3,2,5,4,6] => 30
[2,4,3,5,6,1] => [1,3,2,4,6,5] => 37
[2,4,3,6,1,5] => [1,4,3,6,2,5] => 30
[2,4,3,6,5,1] => [1,3,2,6,5,4] => 18
[2,4,5,1,3,6] => [1,3,5,2,4,6] => 66
[2,4,5,1,6,3] => [1,2,4,3,6,5] => 43
[2,4,5,3,1,6] => [1,2,5,4,3,6] => 34
[2,4,5,3,6,1] => [1,2,4,3,6,5] => 43
[2,4,5,6,1,3] => [1,2,4,6,3,5] => 76
[2,4,5,6,3,1] => [1,2,3,6,5,4] => 48
[2,4,6,1,3,5] => [2,4,6,1,3,5] => 66
[2,4,6,1,5,3] => [1,3,6,2,5,4] => 43
[2,4,6,3,1,5] => [1,4,6,3,2,5] => 34
[2,4,6,3,5,1] => [1,3,6,2,5,4] => 43
[2,4,6,5,1,3] => [1,3,6,5,2,4] => 34
[2,4,6,5,3,1] => [1,2,6,5,4,3] => 20
[2,5,1,3,4,6] => [2,5,1,3,4,6] => 56
[2,5,1,3,6,4] => [2,4,1,3,6,5] => 37
[2,5,1,4,3,6] => [2,5,1,4,3,6] => 30
[2,5,1,4,6,3] => [2,4,1,3,6,5] => 37
[2,5,1,6,3,4] => [2,4,1,6,3,5] => 30
[2,5,1,6,4,3] => [1,3,2,6,5,4] => 18
[2,5,3,1,4,6] => [1,5,3,2,4,6] => 24
[2,5,3,1,6,4] => [1,4,3,2,6,5] => 15
[2,5,3,4,1,6] => [1,5,2,4,3,6] => 30
[2,5,3,4,6,1] => [1,4,2,3,6,5] => 37
[2,5,3,6,1,4] => [1,4,3,6,2,5] => 30
[2,5,3,6,4,1] => [1,3,2,6,5,4] => 18
[2,5,4,1,3,6] => [2,5,4,1,3,6] => 24
[2,5,4,1,6,3] => [1,4,3,2,6,5] => 15
[2,5,4,3,1,6] => [1,5,4,3,2,6] => 11
[2,5,4,3,6,1] => [1,4,3,2,6,5] => 15
[2,5,4,6,1,3] => [1,4,3,6,2,5] => 30
[2,5,4,6,3,1] => [1,3,2,6,5,4] => 18
[2,5,6,1,3,4] => [2,4,6,1,3,5] => 66
[2,5,6,1,4,3] => [1,3,6,2,5,4] => 43
[2,5,6,3,1,4] => [1,4,6,3,2,5] => 34
[2,5,6,3,4,1] => [1,3,6,2,5,4] => 43
[2,5,6,4,1,3] => [1,3,6,5,2,4] => 34
[2,5,6,4,3,1] => [1,2,6,5,4,3] => 20
[2,6,1,3,4,5] => [2,6,1,3,4,5] => 56
[2,6,1,3,5,4] => [2,6,1,3,5,4] => 37
[2,6,1,4,3,5] => [2,6,1,4,3,5] => 30
[2,6,1,4,5,3] => [2,6,1,3,5,4] => 37
[2,6,1,5,3,4] => [2,6,1,5,3,4] => 30
[2,6,1,5,4,3] => [2,6,1,5,4,3] => 18
[2,6,3,1,4,5] => [1,6,3,2,4,5] => 24
[2,6,3,1,5,4] => [1,6,3,2,5,4] => 15
[2,6,3,4,1,5] => [1,6,2,4,3,5] => 30
[2,6,3,4,5,1] => [1,6,2,3,5,4] => 37
[2,6,3,5,1,4] => [1,6,3,5,2,4] => 30
[2,6,3,5,4,1] => [1,6,2,5,4,3] => 18
[2,6,4,1,3,5] => [2,6,4,1,3,5] => 24
[2,6,4,1,5,3] => [1,6,3,2,5,4] => 15
[2,6,4,3,1,5] => [1,6,4,3,2,5] => 11
[2,6,4,3,5,1] => [1,6,3,2,5,4] => 15
[2,6,4,5,1,3] => [1,6,3,5,2,4] => 30
[2,6,4,5,3,1] => [1,6,2,5,4,3] => 18
[2,6,5,1,3,4] => [2,6,5,1,3,4] => 24
[2,6,5,1,4,3] => [2,6,5,1,4,3] => 15
[2,6,5,3,1,4] => [1,6,5,3,2,4] => 11
[2,6,5,3,4,1] => [1,6,5,2,4,3] => 15
[2,6,5,4,1,3] => [2,6,5,4,1,3] => 11
[2,6,5,4,3,1] => [1,6,5,4,3,2] => 6
[3,1,2,4,5,6] => [3,1,2,4,5,6] => 42
[3,1,2,4,6,5] => [3,1,2,4,6,5] => 28
[3,1,2,5,4,6] => [3,1,2,5,4,6] => 23
[3,1,2,5,6,4] => [3,1,2,4,6,5] => 28
[3,1,2,6,4,5] => [3,1,2,6,4,5] => 23
[3,1,2,6,5,4] => [3,1,2,6,5,4] => 14
[3,1,4,2,5,6] => [2,1,4,3,5,6] => 19
[3,1,4,2,6,5] => [2,1,4,3,6,5] => 12
[3,1,4,5,2,6] => [2,1,3,5,4,6] => 23
[3,1,4,5,6,2] => [2,1,3,4,6,5] => 28
[3,1,4,6,2,5] => [2,1,4,6,3,5] => 23
[3,1,4,6,5,2] => [2,1,3,6,5,4] => 14
[3,1,5,2,4,6] => [3,1,5,2,4,6] => 19
[3,1,5,2,6,4] => [2,1,4,3,6,5] => 12
[3,1,5,4,2,6] => [2,1,5,4,3,6] => 9
[3,1,5,4,6,2] => [2,1,4,3,6,5] => 12
[3,1,5,6,2,4] => [2,1,4,6,3,5] => 23
[3,1,5,6,4,2] => [2,1,3,6,5,4] => 14
[3,1,6,2,4,5] => [3,1,6,2,4,5] => 19
[3,1,6,2,5,4] => [3,1,6,2,5,4] => 12
[3,1,6,4,2,5] => [2,1,6,4,3,5] => 9
[3,1,6,4,5,2] => [2,1,6,3,5,4] => 12
[3,1,6,5,2,4] => [3,1,6,5,2,4] => 9
[3,1,6,5,4,2] => [2,1,6,5,4,3] => 5
[3,2,1,4,5,6] => [3,2,1,4,5,6] => 14
[3,2,1,4,6,5] => [3,2,1,4,6,5] => 9
[3,2,1,5,4,6] => [3,2,1,5,4,6] => 7
[3,2,1,5,6,4] => [3,2,1,4,6,5] => 9
[3,2,1,6,4,5] => [3,2,1,6,4,5] => 7
[3,2,1,6,5,4] => [3,2,1,6,5,4] => 4
[3,2,4,1,5,6] => [2,1,4,3,5,6] => 19
[3,2,4,1,6,5] => [2,1,4,3,6,5] => 12
[3,2,4,5,1,6] => [2,1,3,5,4,6] => 23
[3,2,4,5,6,1] => [2,1,3,4,6,5] => 28
[3,2,4,6,1,5] => [2,1,4,6,3,5] => 23
[3,2,4,6,5,1] => [2,1,3,6,5,4] => 14
[3,2,5,1,4,6] => [3,2,5,1,4,6] => 19
[3,2,5,1,6,4] => [2,1,4,3,6,5] => 12
[3,2,5,4,1,6] => [2,1,5,4,3,6] => 9
[3,2,5,4,6,1] => [2,1,4,3,6,5] => 12
[3,2,5,6,1,4] => [2,1,4,6,3,5] => 23
[3,2,5,6,4,1] => [2,1,3,6,5,4] => 14
[3,2,6,1,4,5] => [3,2,6,1,4,5] => 19
[3,2,6,1,5,4] => [3,2,6,1,5,4] => 12
[3,2,6,4,1,5] => [2,1,6,4,3,5] => 9
[3,2,6,4,5,1] => [2,1,6,3,5,4] => 12
[3,2,6,5,1,4] => [3,2,6,5,1,4] => 9
[3,2,6,5,4,1] => [2,1,6,5,4,3] => 5
[3,4,1,2,5,6] => [2,4,1,3,5,6] => 56
[3,4,1,2,6,5] => [2,4,1,3,6,5] => 37
[3,4,1,5,2,6] => [1,3,2,5,4,6] => 30
[3,4,1,5,6,2] => [1,3,2,4,6,5] => 37
[3,4,1,6,2,5] => [2,4,1,6,3,5] => 30
[3,4,1,6,5,2] => [1,3,2,6,5,4] => 18
[3,4,2,1,5,6] => [1,4,3,2,5,6] => 24
[3,4,2,1,6,5] => [1,4,3,2,6,5] => 15
[3,4,2,5,1,6] => [1,3,2,5,4,6] => 30
[3,4,2,5,6,1] => [1,3,2,4,6,5] => 37
[3,4,2,6,1,5] => [1,4,3,6,2,5] => 30
[3,4,2,6,5,1] => [1,3,2,6,5,4] => 18
[3,4,5,1,2,6] => [1,3,5,2,4,6] => 66
[3,4,5,1,6,2] => [1,2,4,3,6,5] => 43
[3,4,5,2,1,6] => [1,2,5,4,3,6] => 34
[3,4,5,2,6,1] => [1,2,4,3,6,5] => 43
[3,4,5,6,1,2] => [1,2,4,6,3,5] => 76
[3,4,5,6,2,1] => [1,2,3,6,5,4] => 48
[3,4,6,1,2,5] => [2,4,6,1,3,5] => 66
[3,4,6,1,5,2] => [1,3,6,2,5,4] => 43
[3,4,6,2,1,5] => [1,4,6,3,2,5] => 34
[3,4,6,2,5,1] => [1,3,6,2,5,4] => 43
[3,4,6,5,1,2] => [1,3,6,5,2,4] => 34
[3,4,6,5,2,1] => [1,2,6,5,4,3] => 20
[3,5,1,2,4,6] => [3,5,1,2,4,6] => 56
[3,5,1,2,6,4] => [2,4,1,3,6,5] => 37
[3,5,1,4,2,6] => [2,5,1,4,3,6] => 30
[3,5,1,4,6,2] => [2,4,1,3,6,5] => 37
[3,5,1,6,2,4] => [2,4,1,6,3,5] => 30
[3,5,1,6,4,2] => [1,3,2,6,5,4] => 18
[3,5,2,1,4,6] => [3,5,2,1,4,6] => 24
[3,5,2,1,6,4] => [1,4,3,2,6,5] => 15
[3,5,2,4,1,6] => [2,5,1,4,3,6] => 30
[3,5,2,4,6,1] => [2,4,1,3,6,5] => 37
[3,5,2,6,1,4] => [1,4,3,6,2,5] => 30
[3,5,2,6,4,1] => [1,3,2,6,5,4] => 18
[3,5,4,1,2,6] => [2,5,4,1,3,6] => 24
[3,5,4,1,6,2] => [1,4,3,2,6,5] => 15
[3,5,4,2,1,6] => [1,5,4,3,2,6] => 11
[3,5,4,2,6,1] => [1,4,3,2,6,5] => 15
[3,5,4,6,1,2] => [1,4,3,6,2,5] => 30
[3,5,4,6,2,1] => [1,3,2,6,5,4] => 18
[3,5,6,1,2,4] => [2,4,6,1,3,5] => 66
[3,5,6,1,4,2] => [1,3,6,2,5,4] => 43
[3,5,6,2,1,4] => [1,4,6,3,2,5] => 34
[3,5,6,2,4,1] => [1,3,6,2,5,4] => 43
[3,5,6,4,1,2] => [1,3,6,5,2,4] => 34
[3,5,6,4,2,1] => [1,2,6,5,4,3] => 20
[3,6,1,2,4,5] => [3,6,1,2,4,5] => 56
[3,6,1,2,5,4] => [3,6,1,2,5,4] => 37
[3,6,1,4,2,5] => [2,6,1,4,3,5] => 30
[3,6,1,4,5,2] => [2,6,1,3,5,4] => 37
[3,6,1,5,2,4] => [3,6,1,5,2,4] => 30
[3,6,1,5,4,2] => [2,6,1,5,4,3] => 18
[3,6,2,1,4,5] => [3,6,2,1,4,5] => 24
[3,6,2,1,5,4] => [3,6,2,1,5,4] => 15
[3,6,2,4,1,5] => [2,6,1,4,3,5] => 30
[3,6,2,4,5,1] => [2,6,1,3,5,4] => 37
[3,6,2,5,1,4] => [3,6,2,5,1,4] => 30
[3,6,2,5,4,1] => [2,6,1,5,4,3] => 18
[3,6,4,1,2,5] => [2,6,4,1,3,5] => 24
[3,6,4,1,5,2] => [1,6,3,2,5,4] => 15
[3,6,4,2,1,5] => [1,6,4,3,2,5] => 11
[3,6,4,2,5,1] => [1,6,3,2,5,4] => 15
[3,6,4,5,1,2] => [1,6,3,5,2,4] => 30
[3,6,4,5,2,1] => [1,6,2,5,4,3] => 18
[3,6,5,1,2,4] => [3,6,5,1,2,4] => 24
[3,6,5,1,4,2] => [2,6,5,1,4,3] => 15
[3,6,5,2,1,4] => [3,6,5,2,1,4] => 11
[3,6,5,2,4,1] => [2,6,5,1,4,3] => 15
[3,6,5,4,1,2] => [2,6,5,4,1,3] => 11
[3,6,5,4,2,1] => [1,6,5,4,3,2] => 6
[4,1,2,3,5,6] => [4,1,2,3,5,6] => 42
[4,1,2,3,6,5] => [4,1,2,3,6,5] => 28
[4,1,2,5,3,6] => [3,1,2,5,4,6] => 23
[4,1,2,5,6,3] => [3,1,2,4,6,5] => 28
[4,1,2,6,3,5] => [4,1,2,6,3,5] => 23
[4,1,2,6,5,3] => [3,1,2,6,5,4] => 14
[4,1,3,2,5,6] => [4,1,3,2,5,6] => 19
[4,1,3,2,6,5] => [4,1,3,2,6,5] => 12
[4,1,3,5,2,6] => [3,1,2,5,4,6] => 23
[4,1,3,5,6,2] => [3,1,2,4,6,5] => 28
[4,1,3,6,2,5] => [4,1,3,6,2,5] => 23
[4,1,3,6,5,2] => [3,1,2,6,5,4] => 14
[4,1,5,2,3,6] => [3,1,5,2,4,6] => 19
[4,1,5,2,6,3] => [2,1,4,3,6,5] => 12
[4,1,5,3,2,6] => [2,1,5,4,3,6] => 9
[4,1,5,3,6,2] => [2,1,4,3,6,5] => 12
[4,1,5,6,2,3] => [2,1,4,6,3,5] => 23
[4,1,5,6,3,2] => [2,1,3,6,5,4] => 14
[4,1,6,2,3,5] => [4,1,6,2,3,5] => 19
[4,1,6,2,5,3] => [3,1,6,2,5,4] => 12
[4,1,6,3,2,5] => [4,1,6,3,2,5] => 9
[4,1,6,3,5,2] => [3,1,6,2,5,4] => 12
[4,1,6,5,2,3] => [3,1,6,5,2,4] => 9
[4,1,6,5,3,2] => [2,1,6,5,4,3] => 5
[4,2,1,3,5,6] => [4,2,1,3,5,6] => 14
[4,2,1,3,6,5] => [4,2,1,3,6,5] => 9
[4,2,1,5,3,6] => [3,2,1,5,4,6] => 7
[4,2,1,5,6,3] => [3,2,1,4,6,5] => 9
[4,2,1,6,3,5] => [4,2,1,6,3,5] => 7
[4,2,1,6,5,3] => [3,2,1,6,5,4] => 4
[4,2,3,1,5,6] => [4,1,3,2,5,6] => 19
[4,2,3,1,6,5] => [4,1,3,2,6,5] => 12
[4,2,3,5,1,6] => [3,1,2,5,4,6] => 23
[4,2,3,5,6,1] => [3,1,2,4,6,5] => 28
[4,2,3,6,1,5] => [4,1,3,6,2,5] => 23
[4,2,3,6,5,1] => [3,1,2,6,5,4] => 14
[4,2,5,1,3,6] => [3,2,5,1,4,6] => 19
[4,2,5,1,6,3] => [2,1,4,3,6,5] => 12
[4,2,5,3,1,6] => [2,1,5,4,3,6] => 9
[4,2,5,3,6,1] => [2,1,4,3,6,5] => 12
[4,2,5,6,1,3] => [2,1,4,6,3,5] => 23
[4,2,5,6,3,1] => [2,1,3,6,5,4] => 14
[4,2,6,1,3,5] => [4,2,6,1,3,5] => 19
[4,2,6,1,5,3] => [3,2,6,1,5,4] => 12
[4,2,6,3,1,5] => [4,1,6,3,2,5] => 9
[4,2,6,3,5,1] => [3,1,6,2,5,4] => 12
[4,2,6,5,1,3] => [3,2,6,5,1,4] => 9
[4,2,6,5,3,1] => [2,1,6,5,4,3] => 5
[4,3,1,2,5,6] => [4,3,1,2,5,6] => 14
[4,3,1,2,6,5] => [4,3,1,2,6,5] => 9
[4,3,1,5,2,6] => [3,2,1,5,4,6] => 7
[4,3,1,5,6,2] => [3,2,1,4,6,5] => 9
[4,3,1,6,2,5] => [4,3,1,6,2,5] => 7
[4,3,1,6,5,2] => [3,2,1,6,5,4] => 4
[4,3,2,1,5,6] => [4,3,2,1,5,6] => 5
[4,3,2,1,6,5] => [4,3,2,1,6,5] => 3
[4,3,2,5,1,6] => [3,2,1,5,4,6] => 7
[4,3,2,5,6,1] => [3,2,1,4,6,5] => 9
[4,3,2,6,1,5] => [4,3,2,6,1,5] => 7
[4,3,2,6,5,1] => [3,2,1,6,5,4] => 4
[4,3,5,1,2,6] => [3,2,5,1,4,6] => 19
[4,3,5,1,6,2] => [2,1,4,3,6,5] => 12
[4,3,5,2,1,6] => [2,1,5,4,3,6] => 9
[4,3,5,2,6,1] => [2,1,4,3,6,5] => 12
[4,3,5,6,1,2] => [2,1,4,6,3,5] => 23
[4,3,5,6,2,1] => [2,1,3,6,5,4] => 14
[4,3,6,1,2,5] => [4,3,6,1,2,5] => 19
[4,3,6,1,5,2] => [3,2,6,1,5,4] => 12
[4,3,6,2,1,5] => [4,3,6,2,1,5] => 9
[4,3,6,2,5,1] => [3,2,6,1,5,4] => 12
[4,3,6,5,1,2] => [3,2,6,5,1,4] => 9
[4,3,6,5,2,1] => [2,1,6,5,4,3] => 5
[4,5,1,2,3,6] => [3,5,1,2,4,6] => 56
[4,5,1,2,6,3] => [2,4,1,3,6,5] => 37
[4,5,1,3,2,6] => [2,5,1,4,3,6] => 30
[4,5,1,3,6,2] => [2,4,1,3,6,5] => 37
[4,5,1,6,2,3] => [2,4,1,6,3,5] => 30
[4,5,1,6,3,2] => [1,3,2,6,5,4] => 18
[4,5,2,1,3,6] => [3,5,2,1,4,6] => 24
[4,5,2,1,6,3] => [1,4,3,2,6,5] => 15
[4,5,2,3,1,6] => [2,5,1,4,3,6] => 30
[4,5,2,3,6,1] => [2,4,1,3,6,5] => 37
[4,5,2,6,1,3] => [1,4,3,6,2,5] => 30
[4,5,2,6,3,1] => [1,3,2,6,5,4] => 18
[4,5,3,1,2,6] => [2,5,4,1,3,6] => 24
[4,5,3,1,6,2] => [1,4,3,2,6,5] => 15
[4,5,3,2,1,6] => [1,5,4,3,2,6] => 11
[4,5,3,2,6,1] => [1,4,3,2,6,5] => 15
[4,5,3,6,1,2] => [1,4,3,6,2,5] => 30
[4,5,3,6,2,1] => [1,3,2,6,5,4] => 18
[4,5,6,1,2,3] => [2,4,6,1,3,5] => 66
[4,5,6,1,3,2] => [1,3,6,2,5,4] => 43
[4,5,6,2,1,3] => [1,4,6,3,2,5] => 34
[4,5,6,2,3,1] => [1,3,6,2,5,4] => 43
[4,5,6,3,1,2] => [1,3,6,5,2,4] => 34
[4,5,6,3,2,1] => [1,2,6,5,4,3] => 20
[4,6,1,2,3,5] => [4,6,1,2,3,5] => 56
[4,6,1,2,5,3] => [3,6,1,2,5,4] => 37
[4,6,1,3,2,5] => [4,6,1,3,2,5] => 30
[4,6,1,3,5,2] => [3,6,1,2,5,4] => 37
[4,6,1,5,2,3] => [3,6,1,5,2,4] => 30
[4,6,1,5,3,2] => [2,6,1,5,4,3] => 18
[4,6,2,1,3,5] => [4,6,2,1,3,5] => 24
[4,6,2,1,5,3] => [3,6,2,1,5,4] => 15
[4,6,2,3,1,5] => [4,6,1,3,2,5] => 30
[4,6,2,3,5,1] => [3,6,1,2,5,4] => 37
[4,6,2,5,1,3] => [3,6,2,5,1,4] => 30
[4,6,2,5,3,1] => [2,6,1,5,4,3] => 18
[4,6,3,1,2,5] => [4,6,3,1,2,5] => 24
[4,6,3,1,5,2] => [3,6,2,1,5,4] => 15
[4,6,3,2,1,5] => [4,6,3,2,1,5] => 11
[4,6,3,2,5,1] => [3,6,2,1,5,4] => 15
[4,6,3,5,1,2] => [3,6,2,5,1,4] => 30
[4,6,3,5,2,1] => [2,6,1,5,4,3] => 18
[4,6,5,1,2,3] => [3,6,5,1,2,4] => 24
[4,6,5,1,3,2] => [2,6,5,1,4,3] => 15
[4,6,5,2,1,3] => [3,6,5,2,1,4] => 11
[4,6,5,2,3,1] => [2,6,5,1,4,3] => 15
[4,6,5,3,1,2] => [2,6,5,4,1,3] => 11
[4,6,5,3,2,1] => [1,6,5,4,3,2] => 6
[5,1,2,3,4,6] => [5,1,2,3,4,6] => 42
[5,1,2,3,6,4] => [4,1,2,3,6,5] => 28
[5,1,2,4,3,6] => [5,1,2,4,3,6] => 23
[5,1,2,4,6,3] => [4,1,2,3,6,5] => 28
[5,1,2,6,3,4] => [4,1,2,6,3,5] => 23
[5,1,2,6,4,3] => [3,1,2,6,5,4] => 14
[5,1,3,2,4,6] => [5,1,3,2,4,6] => 19
[5,1,3,2,6,4] => [4,1,3,2,6,5] => 12
[5,1,3,4,2,6] => [5,1,2,4,3,6] => 23
[5,1,3,4,6,2] => [4,1,2,3,6,5] => 28
[5,1,3,6,2,4] => [4,1,3,6,2,5] => 23
[5,1,3,6,4,2] => [3,1,2,6,5,4] => 14
[5,1,4,2,3,6] => [5,1,4,2,3,6] => 19
[5,1,4,2,6,3] => [4,1,3,2,6,5] => 12
[5,1,4,3,2,6] => [5,1,4,3,2,6] => 9
[5,1,4,3,6,2] => [4,1,3,2,6,5] => 12
[5,1,4,6,2,3] => [4,1,3,6,2,5] => 23
[5,1,4,6,3,2] => [3,1,2,6,5,4] => 14
[5,1,6,2,3,4] => [4,1,6,2,3,5] => 19
[5,1,6,2,4,3] => [3,1,6,2,5,4] => 12
[5,1,6,3,2,4] => [4,1,6,3,2,5] => 9
[5,1,6,3,4,2] => [3,1,6,2,5,4] => 12
[5,1,6,4,2,3] => [3,1,6,5,2,4] => 9
[5,1,6,4,3,2] => [2,1,6,5,4,3] => 5
[5,2,1,3,4,6] => [5,2,1,3,4,6] => 14
[5,2,1,3,6,4] => [4,2,1,3,6,5] => 9
[5,2,1,4,3,6] => [5,2,1,4,3,6] => 7
[5,2,1,4,6,3] => [4,2,1,3,6,5] => 9
[5,2,1,6,3,4] => [4,2,1,6,3,5] => 7
[5,2,1,6,4,3] => [3,2,1,6,5,4] => 4
[5,2,3,1,4,6] => [5,1,3,2,4,6] => 19
[5,2,3,1,6,4] => [4,1,3,2,6,5] => 12
[5,2,3,4,1,6] => [5,1,2,4,3,6] => 23
[5,2,3,4,6,1] => [4,1,2,3,6,5] => 28
[5,2,3,6,1,4] => [4,1,3,6,2,5] => 23
[5,2,3,6,4,1] => [3,1,2,6,5,4] => 14
[5,2,4,1,3,6] => [5,2,4,1,3,6] => 19
[5,2,4,1,6,3] => [4,1,3,2,6,5] => 12
[5,2,4,3,1,6] => [5,1,4,3,2,6] => 9
[5,2,4,3,6,1] => [4,1,3,2,6,5] => 12
[5,2,4,6,1,3] => [4,1,3,6,2,5] => 23
[5,2,4,6,3,1] => [3,1,2,6,5,4] => 14
[5,2,6,1,3,4] => [4,2,6,1,3,5] => 19
[5,2,6,1,4,3] => [3,2,6,1,5,4] => 12
[5,2,6,3,1,4] => [4,1,6,3,2,5] => 9
[5,2,6,3,4,1] => [3,1,6,2,5,4] => 12
[5,2,6,4,1,3] => [3,2,6,5,1,4] => 9
[5,2,6,4,3,1] => [2,1,6,5,4,3] => 5
[5,3,1,2,4,6] => [5,3,1,2,4,6] => 14
[5,3,1,2,6,4] => [4,3,1,2,6,5] => 9
[5,3,1,4,2,6] => [5,2,1,4,3,6] => 7
[5,3,1,4,6,2] => [4,2,1,3,6,5] => 9
[5,3,1,6,2,4] => [4,3,1,6,2,5] => 7
[5,3,1,6,4,2] => [3,2,1,6,5,4] => 4
[5,3,2,1,4,6] => [5,3,2,1,4,6] => 5
[5,3,2,1,6,4] => [4,3,2,1,6,5] => 3
[5,3,2,4,1,6] => [5,2,1,4,3,6] => 7
[5,3,2,4,6,1] => [4,2,1,3,6,5] => 9
[5,3,2,6,1,4] => [4,3,2,6,1,5] => 7
[5,3,2,6,4,1] => [3,2,1,6,5,4] => 4
[5,3,4,1,2,6] => [5,2,4,1,3,6] => 19
[5,3,4,1,6,2] => [4,1,3,2,6,5] => 12
[5,3,4,2,1,6] => [5,1,4,3,2,6] => 9
[5,3,4,2,6,1] => [4,1,3,2,6,5] => 12
[5,3,4,6,1,2] => [4,1,3,6,2,5] => 23
[5,3,4,6,2,1] => [3,1,2,6,5,4] => 14
[5,3,6,1,2,4] => [4,3,6,1,2,5] => 19
[5,3,6,1,4,2] => [3,2,6,1,5,4] => 12
[5,3,6,2,1,4] => [4,3,6,2,1,5] => 9
[5,3,6,2,4,1] => [3,2,6,1,5,4] => 12
[5,3,6,4,1,2] => [3,2,6,5,1,4] => 9
[5,3,6,4,2,1] => [2,1,6,5,4,3] => 5
[5,4,1,2,3,6] => [5,4,1,2,3,6] => 14
[5,4,1,2,6,3] => [4,3,1,2,6,5] => 9
[5,4,1,3,2,6] => [5,4,1,3,2,6] => 7
[5,4,1,3,6,2] => [4,3,1,2,6,5] => 9
[5,4,1,6,2,3] => [4,3,1,6,2,5] => 7
[5,4,1,6,3,2] => [3,2,1,6,5,4] => 4
[5,4,2,1,3,6] => [5,4,2,1,3,6] => 5
[5,4,2,1,6,3] => [4,3,2,1,6,5] => 3
[5,4,2,3,1,6] => [5,4,1,3,2,6] => 7
[5,4,2,3,6,1] => [4,3,1,2,6,5] => 9
[5,4,2,6,1,3] => [4,3,2,6,1,5] => 7
[5,4,2,6,3,1] => [3,2,1,6,5,4] => 4
[5,4,3,1,2,6] => [5,4,3,1,2,6] => 5
[5,4,3,1,6,2] => [4,3,2,1,6,5] => 3
[5,4,3,2,1,6] => [5,4,3,2,1,6] => 2
[5,4,3,2,6,1] => [4,3,2,1,6,5] => 3
[5,4,3,6,1,2] => [4,3,2,6,1,5] => 7
[5,4,3,6,2,1] => [3,2,1,6,5,4] => 4
[5,4,6,1,2,3] => [4,3,6,1,2,5] => 19
[5,4,6,1,3,2] => [3,2,6,1,5,4] => 12
[5,4,6,2,1,3] => [4,3,6,2,1,5] => 9
[5,4,6,2,3,1] => [3,2,6,1,5,4] => 12
[5,4,6,3,1,2] => [3,2,6,5,1,4] => 9
[5,4,6,3,2,1] => [2,1,6,5,4,3] => 5
[5,6,1,2,3,4] => [4,6,1,2,3,5] => 56
[5,6,1,2,4,3] => [3,6,1,2,5,4] => 37
[5,6,1,3,2,4] => [4,6,1,3,2,5] => 30
[5,6,1,3,4,2] => [3,6,1,2,5,4] => 37
[5,6,1,4,2,3] => [3,6,1,5,2,4] => 30
[5,6,1,4,3,2] => [2,6,1,5,4,3] => 18
[5,6,2,1,3,4] => [4,6,2,1,3,5] => 24
[5,6,2,1,4,3] => [3,6,2,1,5,4] => 15
[5,6,2,3,1,4] => [4,6,1,3,2,5] => 30
[5,6,2,3,4,1] => [3,6,1,2,5,4] => 37
[5,6,2,4,1,3] => [3,6,2,5,1,4] => 30
[5,6,2,4,3,1] => [2,6,1,5,4,3] => 18
[5,6,3,1,2,4] => [4,6,3,1,2,5] => 24
[5,6,3,1,4,2] => [3,6,2,1,5,4] => 15
[5,6,3,2,1,4] => [4,6,3,2,1,5] => 11
[5,6,3,2,4,1] => [3,6,2,1,5,4] => 15
[5,6,3,4,1,2] => [3,6,2,5,1,4] => 30
[5,6,3,4,2,1] => [2,6,1,5,4,3] => 18
[5,6,4,1,2,3] => [3,6,5,1,2,4] => 24
[5,6,4,1,3,2] => [2,6,5,1,4,3] => 15
[5,6,4,2,1,3] => [3,6,5,2,1,4] => 11
[5,6,4,2,3,1] => [2,6,5,1,4,3] => 15
[5,6,4,3,1,2] => [2,6,5,4,1,3] => 11
[5,6,4,3,2,1] => [1,6,5,4,3,2] => 6
[6,1,2,3,4,5] => [6,1,2,3,4,5] => 42
[6,1,2,3,5,4] => [6,1,2,3,5,4] => 28
[6,1,2,4,3,5] => [6,1,2,4,3,5] => 23
[6,1,2,4,5,3] => [6,1,2,3,5,4] => 28
[6,1,2,5,3,4] => [6,1,2,5,3,4] => 23
[6,1,2,5,4,3] => [6,1,2,5,4,3] => 14
[6,1,3,2,4,5] => [6,1,3,2,4,5] => 19
[6,1,3,2,5,4] => [6,1,3,2,5,4] => 12
[6,1,3,4,2,5] => [6,1,2,4,3,5] => 23
[6,1,3,4,5,2] => [6,1,2,3,5,4] => 28
[6,1,3,5,2,4] => [6,1,3,5,2,4] => 23
[6,1,3,5,4,2] => [6,1,2,5,4,3] => 14
[6,1,4,2,3,5] => [6,1,4,2,3,5] => 19
[6,1,4,2,5,3] => [6,1,3,2,5,4] => 12
[6,1,4,3,2,5] => [6,1,4,3,2,5] => 9
[6,1,4,3,5,2] => [6,1,3,2,5,4] => 12
[6,1,4,5,2,3] => [6,1,3,5,2,4] => 23
[6,1,4,5,3,2] => [6,1,2,5,4,3] => 14
[6,1,5,2,3,4] => [6,1,5,2,3,4] => 19
[6,1,5,2,4,3] => [6,1,5,2,4,3] => 12
[6,1,5,3,2,4] => [6,1,5,3,2,4] => 9
[6,1,5,3,4,2] => [6,1,5,2,4,3] => 12
[6,1,5,4,2,3] => [6,1,5,4,2,3] => 9
[6,1,5,4,3,2] => [6,1,5,4,3,2] => 5
[6,2,1,3,4,5] => [6,2,1,3,4,5] => 14
[6,2,1,3,5,4] => [6,2,1,3,5,4] => 9
[6,2,1,4,3,5] => [6,2,1,4,3,5] => 7
[6,2,1,4,5,3] => [6,2,1,3,5,4] => 9
[6,2,1,5,3,4] => [6,2,1,5,3,4] => 7
[6,2,1,5,4,3] => [6,2,1,5,4,3] => 4
[6,2,3,1,4,5] => [6,1,3,2,4,5] => 19
[6,2,3,1,5,4] => [6,1,3,2,5,4] => 12
[6,2,3,4,1,5] => [6,1,2,4,3,5] => 23
[6,2,3,4,5,1] => [6,1,2,3,5,4] => 28
[6,2,3,5,1,4] => [6,1,3,5,2,4] => 23
[6,2,3,5,4,1] => [6,1,2,5,4,3] => 14
[6,2,4,1,3,5] => [6,2,4,1,3,5] => 19
[6,2,4,1,5,3] => [6,1,3,2,5,4] => 12
[6,2,4,3,1,5] => [6,1,4,3,2,5] => 9
[6,2,4,3,5,1] => [6,1,3,2,5,4] => 12
[6,2,4,5,1,3] => [6,1,3,5,2,4] => 23
[6,2,4,5,3,1] => [6,1,2,5,4,3] => 14
[6,2,5,1,3,4] => [6,2,5,1,3,4] => 19
[6,2,5,1,4,3] => [6,2,5,1,4,3] => 12
[6,2,5,3,1,4] => [6,1,5,3,2,4] => 9
[6,2,5,3,4,1] => [6,1,5,2,4,3] => 12
[6,2,5,4,1,3] => [6,2,5,4,1,3] => 9
[6,2,5,4,3,1] => [6,1,5,4,3,2] => 5
[6,3,1,2,4,5] => [6,3,1,2,4,5] => 14
[6,3,1,2,5,4] => [6,3,1,2,5,4] => 9
[6,3,1,4,2,5] => [6,2,1,4,3,5] => 7
[6,3,1,4,5,2] => [6,2,1,3,5,4] => 9
[6,3,1,5,2,4] => [6,3,1,5,2,4] => 7
[6,3,1,5,4,2] => [6,2,1,5,4,3] => 4
[6,3,2,1,4,5] => [6,3,2,1,4,5] => 5
[6,3,2,1,5,4] => [6,3,2,1,5,4] => 3
[6,3,2,4,1,5] => [6,2,1,4,3,5] => 7
[6,3,2,4,5,1] => [6,2,1,3,5,4] => 9
[6,3,2,5,1,4] => [6,3,2,5,1,4] => 7
[6,3,2,5,4,1] => [6,2,1,5,4,3] => 4
[6,3,4,1,2,5] => [6,2,4,1,3,5] => 19
[6,3,4,1,5,2] => [6,1,3,2,5,4] => 12
[6,3,4,2,1,5] => [6,1,4,3,2,5] => 9
[6,3,4,2,5,1] => [6,1,3,2,5,4] => 12
[6,3,4,5,1,2] => [6,1,3,5,2,4] => 23
[6,3,4,5,2,1] => [6,1,2,5,4,3] => 14
[6,3,5,1,2,4] => [6,3,5,1,2,4] => 19
[6,3,5,1,4,2] => [6,2,5,1,4,3] => 12
[6,3,5,2,1,4] => [6,3,5,2,1,4] => 9
[6,3,5,2,4,1] => [6,2,5,1,4,3] => 12
[6,3,5,4,1,2] => [6,2,5,4,1,3] => 9
[6,3,5,4,2,1] => [6,1,5,4,3,2] => 5
[6,4,1,2,3,5] => [6,4,1,2,3,5] => 14
[6,4,1,2,5,3] => [6,3,1,2,5,4] => 9
[6,4,1,3,2,5] => [6,4,1,3,2,5] => 7
[6,4,1,3,5,2] => [6,3,1,2,5,4] => 9
[6,4,1,5,2,3] => [6,3,1,5,2,4] => 7
[6,4,1,5,3,2] => [6,2,1,5,4,3] => 4
[6,4,2,1,3,5] => [6,4,2,1,3,5] => 5
[6,4,2,1,5,3] => [6,3,2,1,5,4] => 3
[6,4,2,3,1,5] => [6,4,1,3,2,5] => 7
[6,4,2,3,5,1] => [6,3,1,2,5,4] => 9
[6,4,2,5,1,3] => [6,3,2,5,1,4] => 7
[6,4,2,5,3,1] => [6,2,1,5,4,3] => 4
[6,4,3,1,2,5] => [6,4,3,1,2,5] => 5
[6,4,3,1,5,2] => [6,3,2,1,5,4] => 3
[6,4,3,2,1,5] => [6,4,3,2,1,5] => 2
[6,4,3,2,5,1] => [6,3,2,1,5,4] => 3
[6,4,3,5,1,2] => [6,3,2,5,1,4] => 7
[6,4,3,5,2,1] => [6,2,1,5,4,3] => 4
[6,4,5,1,2,3] => [6,3,5,1,2,4] => 19
[6,4,5,1,3,2] => [6,2,5,1,4,3] => 12
[6,4,5,2,1,3] => [6,3,5,2,1,4] => 9
[6,4,5,2,3,1] => [6,2,5,1,4,3] => 12
[6,4,5,3,1,2] => [6,2,5,4,1,3] => 9
[6,4,5,3,2,1] => [6,1,5,4,3,2] => 5
[6,5,1,2,3,4] => [6,5,1,2,3,4] => 14
[6,5,1,2,4,3] => [6,5,1,2,4,3] => 9
[6,5,1,3,2,4] => [6,5,1,3,2,4] => 7
[6,5,1,3,4,2] => [6,5,1,2,4,3] => 9
[6,5,1,4,2,3] => [6,5,1,4,2,3] => 7
[6,5,1,4,3,2] => [6,5,1,4,3,2] => 4
[6,5,2,1,3,4] => [6,5,2,1,3,4] => 5
[6,5,2,1,4,3] => [6,5,2,1,4,3] => 3
[6,5,2,3,1,4] => [6,5,1,3,2,4] => 7
[6,5,2,3,4,1] => [6,5,1,2,4,3] => 9
[6,5,2,4,1,3] => [6,5,2,4,1,3] => 7
[6,5,2,4,3,1] => [6,5,1,4,3,2] => 4
[6,5,3,1,2,4] => [6,5,3,1,2,4] => 5
[6,5,3,1,4,2] => [6,5,2,1,4,3] => 3
[6,5,3,2,1,4] => [6,5,3,2,1,4] => 2
[6,5,3,2,4,1] => [6,5,2,1,4,3] => 3
[6,5,3,4,1,2] => [6,5,2,4,1,3] => 7
[6,5,3,4,2,1] => [6,5,1,4,3,2] => 4
[6,5,4,1,2,3] => [6,5,4,1,2,3] => 5
[6,5,4,1,3,2] => [6,5,4,1,3,2] => 3
[6,5,4,2,1,3] => [6,5,4,2,1,3] => 2
[6,5,4,2,3,1] => [6,5,4,1,3,2] => 3
[6,5,4,3,1,2] => [6,5,4,3,1,2] => 2
[6,5,4,3,2,1] => [6,5,4,3,2,1] => 1
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 429
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 297
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 255
[1,2,3,4,6,7,5] => [1,2,3,4,5,7,6] => 297
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => 255
[1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 165
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 227
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 151
[1,2,3,5,6,4,7] => [1,2,3,4,6,5,7] => 255
[1,2,3,5,6,7,4] => [1,2,3,4,5,7,6] => 297
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => 255
[1,2,3,5,7,6,4] => [1,2,3,4,7,6,5] => 165
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => 227
[1,2,3,6,4,7,5] => [1,2,3,5,4,7,6] => 151
[1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 123
[1,2,3,6,5,7,4] => [1,2,3,5,4,7,6] => 151
[1,2,3,6,7,4,5] => [1,2,3,5,7,4,6] => 255
[1,2,3,6,7,5,4] => [1,2,3,4,7,6,5] => 165
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => 227
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => 151
[1,2,3,7,5,4,6] => [1,2,3,7,5,4,6] => 123
[1,2,3,7,5,6,4] => [1,2,3,7,4,6,5] => 151
[1,2,3,7,6,4,5] => [1,2,3,7,6,4,5] => 123
[1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 75
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 202
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 136
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 113
[1,2,4,3,6,7,5] => [1,2,4,3,5,7,6] => 136
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => 113
[1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 70
[1,2,4,5,3,6,7] => [1,2,3,5,4,6,7] => 227
[1,2,4,5,3,7,6] => [1,2,3,5,4,7,6] => 151
[1,2,4,5,6,3,7] => [1,2,3,4,6,5,7] => 255
[1,2,4,5,6,7,3] => [1,2,3,4,5,7,6] => 297
[1,2,4,5,7,3,6] => [1,2,3,5,7,4,6] => 255
[1,2,4,5,7,6,3] => [1,2,3,4,7,6,5] => 165
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => 227
[1,2,4,6,3,7,5] => [1,2,3,5,4,7,6] => 151
[1,2,4,6,5,3,7] => [1,2,3,6,5,4,7] => 123
[1,2,4,6,5,7,3] => [1,2,3,5,4,7,6] => 151
[1,2,4,6,7,3,5] => [1,2,3,5,7,4,6] => 255
[1,2,4,6,7,5,3] => [1,2,3,4,7,6,5] => 165
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => 227
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => 151
[1,2,4,7,5,3,6] => [1,2,3,7,5,4,6] => 123
[1,2,4,7,5,6,3] => [1,2,3,7,4,6,5] => 151
[1,2,4,7,6,3,5] => [1,2,4,7,6,3,5] => 123
[1,2,4,7,6,5,3] => [1,2,3,7,6,5,4] => 75
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => 202
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => 136
[1,2,5,3,6,4,7] => [1,2,4,3,6,5,7] => 113
[1,2,5,3,6,7,4] => [1,2,4,3,5,7,6] => 136
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => 113
[1,2,5,3,7,6,4] => [1,2,4,3,7,6,5] => 70
[1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 95
[1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => 61
[1,2,5,4,6,3,7] => [1,2,4,3,6,5,7] => 113
[1,2,5,4,6,7,3] => [1,2,4,3,5,7,6] => 136
[1,2,5,4,7,3,6] => [1,2,5,4,7,3,6] => 113
[1,2,5,4,7,6,3] => [1,2,4,3,7,6,5] => 70
[1,2,5,6,3,4,7] => [1,2,4,6,3,5,7] => 227
[1,2,5,6,3,7,4] => [1,2,3,5,4,7,6] => 151
[1,2,5,6,4,3,7] => [1,2,3,6,5,4,7] => 123
[1,2,5,6,4,7,3] => [1,2,3,5,4,7,6] => 151
[1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => 255
[1,2,5,6,7,4,3] => [1,2,3,4,7,6,5] => 165
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => 227
[1,2,5,7,3,6,4] => [1,2,4,7,3,6,5] => 151
[1,2,5,7,4,3,6] => [1,2,5,7,4,3,6] => 123
[1,2,5,7,4,6,3] => [1,2,4,7,3,6,5] => 151
[1,2,5,7,6,3,4] => [1,2,4,7,6,3,5] => 123
[1,2,5,7,6,4,3] => [1,2,3,7,6,5,4] => 75
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => 202
[1,2,6,3,4,7,5] => [1,2,5,3,4,7,6] => 136
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => 113
[1,2,6,3,5,7,4] => [1,2,5,3,4,7,6] => 136
[1,2,6,3,7,4,5] => [1,2,5,3,7,4,6] => 113
[1,2,6,3,7,5,4] => [1,2,4,3,7,6,5] => 70
[1,2,6,4,3,5,7] => [1,2,6,4,3,5,7] => 95
[1,2,6,4,3,7,5] => [1,2,5,4,3,7,6] => 61
[1,2,6,4,5,3,7] => [1,2,6,3,5,4,7] => 113
[1,2,6,4,5,7,3] => [1,2,5,3,4,7,6] => 136
[1,2,6,4,7,3,5] => [1,2,5,4,7,3,6] => 113
[1,2,6,4,7,5,3] => [1,2,4,3,7,6,5] => 70
[1,2,6,5,3,4,7] => [1,2,6,5,3,4,7] => 95
[1,2,6,5,3,7,4] => [1,2,5,4,3,7,6] => 61
[1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 47
[1,2,6,5,4,7,3] => [1,2,5,4,3,7,6] => 61
[1,2,6,5,7,3,4] => [1,2,5,4,7,3,6] => 113
[1,2,6,5,7,4,3] => [1,2,4,3,7,6,5] => 70
[1,2,6,7,3,4,5] => [1,2,5,7,3,4,6] => 227
[1,2,6,7,3,5,4] => [1,2,4,7,3,6,5] => 151
[1,2,6,7,4,3,5] => [1,2,5,7,4,3,6] => 123
[1,2,6,7,4,5,3] => [1,2,4,7,3,6,5] => 151
[1,2,6,7,5,3,4] => [1,2,4,7,6,3,5] => 123
[1,2,6,7,5,4,3] => [1,2,3,7,6,5,4] => 75
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => 202
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => 136
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => 113
[1,2,7,3,5,6,4] => [1,2,7,3,4,6,5] => 136
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => 113
[1,2,7,3,6,5,4] => [1,2,7,3,6,5,4] => 70
[1,2,7,4,3,5,6] => [1,2,7,4,3,5,6] => 95
[1,2,7,4,3,6,5] => [1,2,7,4,3,6,5] => 61
[1,2,7,4,5,3,6] => [1,2,7,3,5,4,6] => 113
[1,2,7,4,5,6,3] => [1,2,7,3,4,6,5] => 136
[1,2,7,4,6,3,5] => [1,2,7,4,6,3,5] => 113
[1,2,7,4,6,5,3] => [1,2,7,3,6,5,4] => 70
[1,2,7,5,3,4,6] => [1,2,7,5,3,4,6] => 95
[1,2,7,5,3,6,4] => [1,2,7,4,3,6,5] => 61
[1,2,7,5,4,3,6] => [1,2,7,5,4,3,6] => 47
[1,2,7,5,4,6,3] => [1,2,7,4,3,6,5] => 61
[1,2,7,5,6,3,4] => [1,2,7,4,6,3,5] => 113
[1,2,7,5,6,4,3] => [1,2,7,3,6,5,4] => 70
[1,2,7,6,3,4,5] => [1,2,7,6,3,4,5] => 95
[1,2,7,6,3,5,4] => [1,2,7,6,3,5,4] => 61
[1,2,7,6,4,3,5] => [1,2,7,6,4,3,5] => 47
[1,2,7,6,4,5,3] => [1,2,7,6,3,5,4] => 61
[1,2,7,6,5,3,4] => [1,2,7,6,5,3,4] => 47
[1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 27
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 174
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 118
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 99
[1,3,2,4,6,7,5] => [1,3,2,4,5,7,6] => 118
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => 99
[1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 62
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 85
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 55
[1,3,2,5,6,4,7] => [1,3,2,4,6,5,7] => 99
[1,3,2,5,6,7,4] => [1,3,2,4,5,7,6] => 118
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => 99
[1,3,2,5,7,6,4] => [1,3,2,4,7,6,5] => 62
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => 85
[1,3,2,6,4,7,5] => [1,3,2,5,4,7,6] => 55
[1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 43
[1,3,2,6,5,7,4] => [1,3,2,5,4,7,6] => 55
[1,3,2,6,7,4,5] => [1,3,2,5,7,4,6] => 99
[1,3,2,6,7,5,4] => [1,3,2,4,7,6,5] => 62
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => 85
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => 55
[1,3,2,7,5,4,6] => [1,3,2,7,5,4,6] => 43
[1,3,2,7,5,6,4] => [1,3,2,7,4,6,5] => 55
[1,3,2,7,6,4,5] => [1,3,2,7,6,4,5] => 43
[1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 25
[1,3,4,2,5,6,7] => [1,2,4,3,5,6,7] => 202
[1,3,4,2,5,7,6] => [1,2,4,3,5,7,6] => 136
[1,3,4,2,6,5,7] => [1,2,4,3,6,5,7] => 113
[1,3,4,2,6,7,5] => [1,2,4,3,5,7,6] => 136
[1,3,4,2,7,5,6] => [1,2,4,3,7,5,6] => 113
[1,3,4,2,7,6,5] => [1,2,4,3,7,6,5] => 70
[1,3,4,5,2,6,7] => [1,2,3,5,4,6,7] => 227
[1,3,4,5,2,7,6] => [1,2,3,5,4,7,6] => 151
[1,3,4,5,6,2,7] => [1,2,3,4,6,5,7] => 255
[1,3,4,5,6,7,2] => [1,2,3,4,5,7,6] => 297
[1,3,4,5,7,2,6] => [1,2,3,5,7,4,6] => 255
[1,3,4,5,7,6,2] => [1,2,3,4,7,6,5] => 165
[1,3,4,6,2,5,7] => [1,2,4,6,3,5,7] => 227
[1,3,4,6,2,7,5] => [1,2,3,5,4,7,6] => 151
[1,3,4,6,5,2,7] => [1,2,3,6,5,4,7] => 123
[1,3,4,6,5,7,2] => [1,2,3,5,4,7,6] => 151
[1,3,4,6,7,2,5] => [1,2,3,5,7,4,6] => 255
[1,3,4,6,7,5,2] => [1,2,3,4,7,6,5] => 165
[1,3,4,7,2,5,6] => [1,2,4,7,3,5,6] => 227
[1,3,4,7,2,6,5] => [1,2,4,7,3,6,5] => 151
[1,3,4,7,5,2,6] => [1,2,3,7,5,4,6] => 123
[1,3,4,7,5,6,2] => [1,2,3,7,4,6,5] => 151
[1,3,4,7,6,2,5] => [1,2,4,7,6,3,5] => 123
[1,3,4,7,6,5,2] => [1,2,3,7,6,5,4] => 75
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => 202
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => 136
[1,3,5,2,6,4,7] => [1,2,4,3,6,5,7] => 113
[1,3,5,2,6,7,4] => [1,2,4,3,5,7,6] => 136
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => 113
[1,3,5,2,7,6,4] => [1,2,4,3,7,6,5] => 70
[1,3,5,4,2,6,7] => [1,2,5,4,3,6,7] => 95
[1,3,5,4,2,7,6] => [1,2,5,4,3,7,6] => 61
[1,3,5,4,6,2,7] => [1,2,4,3,6,5,7] => 113
[1,3,5,4,6,7,2] => [1,2,4,3,5,7,6] => 136
[1,3,5,4,7,2,6] => [1,2,5,4,7,3,6] => 113
[1,3,5,4,7,6,2] => [1,2,4,3,7,6,5] => 70
[1,3,5,6,2,4,7] => [1,2,4,6,3,5,7] => 227
[1,3,5,6,2,7,4] => [1,2,3,5,4,7,6] => 151
[1,3,5,6,4,2,7] => [1,2,3,6,5,4,7] => 123
[1,3,5,6,4,7,2] => [1,2,3,5,4,7,6] => 151
[1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => 255
[1,3,5,6,7,4,2] => [1,2,3,4,7,6,5] => 165
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => 227
[1,3,5,7,2,6,4] => [1,2,4,7,3,6,5] => 151
[1,3,5,7,4,2,6] => [1,2,5,7,4,3,6] => 123
[1,3,5,7,4,6,2] => [1,2,4,7,3,6,5] => 151
[1,3,5,7,6,2,4] => [1,2,4,7,6,3,5] => 123
[1,3,5,7,6,4,2] => [1,2,3,7,6,5,4] => 75
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => 202
[1,3,6,2,4,7,5] => [1,3,5,2,4,7,6] => 136
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => 113
[1,3,6,2,5,7,4] => [1,3,5,2,4,7,6] => 136
[1,3,6,2,7,4,5] => [1,3,5,2,7,4,6] => 113
[1,3,6,2,7,5,4] => [1,2,4,3,7,6,5] => 70
[1,3,6,4,2,5,7] => [1,2,6,4,3,5,7] => 95
[1,3,6,4,2,7,5] => [1,2,5,4,3,7,6] => 61
[1,3,6,4,5,2,7] => [1,2,6,3,5,4,7] => 113
[1,3,6,4,5,7,2] => [1,2,5,3,4,7,6] => 136
[1,3,6,4,7,2,5] => [1,2,5,4,7,3,6] => 113
[1,3,6,4,7,5,2] => [1,2,4,3,7,6,5] => 70
[1,3,6,5,2,4,7] => [1,3,6,5,2,4,7] => 95
[1,3,6,5,2,7,4] => [1,2,5,4,3,7,6] => 61
[1,3,6,5,4,2,7] => [1,2,6,5,4,3,7] => 47
[1,3,6,5,4,7,2] => [1,2,5,4,3,7,6] => 61
[1,3,6,5,7,2,4] => [1,2,5,4,7,3,6] => 113
[1,3,6,5,7,4,2] => [1,2,4,3,7,6,5] => 70
[1,3,6,7,2,4,5] => [1,3,5,7,2,4,6] => 227
[1,3,6,7,2,5,4] => [1,2,4,7,3,6,5] => 151
[1,3,6,7,4,2,5] => [1,2,5,7,4,3,6] => 123
[1,3,6,7,4,5,2] => [1,2,4,7,3,6,5] => 151
[1,3,6,7,5,2,4] => [1,2,4,7,6,3,5] => 123
[1,3,6,7,5,4,2] => [1,2,3,7,6,5,4] => 75
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => 202
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => 136
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => 113
[1,3,7,2,5,6,4] => [1,3,7,2,4,6,5] => 136
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => 113
[1,3,7,2,6,5,4] => [1,3,7,2,6,5,4] => 70
[1,3,7,4,2,5,6] => [1,2,7,4,3,5,6] => 95
[1,3,7,4,2,6,5] => [1,2,7,4,3,6,5] => 61
[1,3,7,4,5,2,6] => [1,2,7,3,5,4,6] => 113
[1,3,7,4,5,6,2] => [1,2,7,3,4,6,5] => 136
[1,3,7,4,6,2,5] => [1,2,7,4,6,3,5] => 113
[1,3,7,4,6,5,2] => [1,2,7,3,6,5,4] => 70
[1,3,7,5,2,4,6] => [1,3,7,5,2,4,6] => 95
[1,3,7,5,2,6,4] => [1,2,7,4,3,6,5] => 61
[1,3,7,5,4,2,6] => [1,2,7,5,4,3,6] => 47
[1,3,7,5,4,6,2] => [1,2,7,4,3,6,5] => 61
[1,3,7,5,6,2,4] => [1,2,7,4,6,3,5] => 113
[1,3,7,5,6,4,2] => [1,2,7,3,6,5,4] => 70
[1,3,7,6,2,4,5] => [1,3,7,6,2,4,5] => 95
[1,3,7,6,2,5,4] => [1,3,7,6,2,5,4] => 61
[1,3,7,6,4,2,5] => [1,2,7,6,4,3,5] => 47
[1,3,7,6,4,5,2] => [1,2,7,6,3,5,4] => 61
[1,3,7,6,5,2,4] => [1,3,7,6,5,2,4] => 47
[1,3,7,6,5,4,2] => [1,2,7,6,5,4,3] => 27
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => 174
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => 118
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => 99
[1,4,2,3,6,7,5] => [1,4,2,3,5,7,6] => 118
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => 99
[1,4,2,3,7,6,5] => [1,4,2,3,7,6,5] => 62
[1,4,2,5,3,6,7] => [1,3,2,5,4,6,7] => 85
[1,4,2,5,3,7,6] => [1,3,2,5,4,7,6] => 55
[1,4,2,5,6,3,7] => [1,3,2,4,6,5,7] => 99
[1,4,2,5,6,7,3] => [1,3,2,4,5,7,6] => 118
[1,4,2,5,7,3,6] => [1,3,2,5,7,4,6] => 99
[1,4,2,5,7,6,3] => [1,3,2,4,7,6,5] => 62
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => 85
[1,4,2,6,3,7,5] => [1,3,2,5,4,7,6] => 55
[1,4,2,6,5,3,7] => [1,3,2,6,5,4,7] => 43
[1,4,2,6,5,7,3] => [1,3,2,5,4,7,6] => 55
[1,4,2,6,7,3,5] => [1,3,2,5,7,4,6] => 99
[1,4,2,6,7,5,3] => [1,3,2,4,7,6,5] => 62
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => 85
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => 55
[1,4,2,7,5,3,6] => [1,3,2,7,5,4,6] => 43
[1,4,2,7,5,6,3] => [1,3,2,7,4,6,5] => 55
[1,4,2,7,6,3,5] => [1,4,2,7,6,3,5] => 43
[1,4,2,7,6,5,3] => [1,3,2,7,6,5,4] => 25
[1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 70
[1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 46
[1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => 37
[1,4,3,2,6,7,5] => [1,4,3,2,5,7,6] => 46
[1,4,3,2,7,5,6] => [1,4,3,2,7,5,6] => 37
[1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => 22
[1,4,3,5,2,6,7] => [1,3,2,5,4,6,7] => 85
[1,4,3,5,2,7,6] => [1,3,2,5,4,7,6] => 55
[1,4,3,5,6,2,7] => [1,3,2,4,6,5,7] => 99
[1,4,3,5,6,7,2] => [1,3,2,4,5,7,6] => 118
[1,4,3,5,7,2,6] => [1,3,2,5,7,4,6] => 99
[1,4,3,5,7,6,2] => [1,3,2,4,7,6,5] => 62
[1,4,3,6,2,5,7] => [1,4,3,6,2,5,7] => 85
[1,4,3,6,2,7,5] => [1,3,2,5,4,7,6] => 55
[1,4,3,6,5,2,7] => [1,3,2,6,5,4,7] => 43
[1,4,3,6,5,7,2] => [1,3,2,5,4,7,6] => 55
[1,4,3,6,7,2,5] => [1,3,2,5,7,4,6] => 99
[1,4,3,6,7,5,2] => [1,3,2,4,7,6,5] => 62
[1,4,3,7,2,5,6] => [1,4,3,7,2,5,6] => 85
[1,4,3,7,2,6,5] => [1,4,3,7,2,6,5] => 55
[1,4,3,7,5,2,6] => [1,3,2,7,5,4,6] => 43
[1,4,3,7,5,6,2] => [1,3,2,7,4,6,5] => 55
[1,4,3,7,6,2,5] => [1,4,3,7,6,2,5] => 43
[1,4,3,7,6,5,2] => [1,3,2,7,6,5,4] => 25
[1,4,5,2,3,6,7] => [1,3,5,2,4,6,7] => 202
[1,4,5,2,3,7,6] => [1,3,5,2,4,7,6] => 136
[1,4,5,2,6,3,7] => [1,2,4,3,6,5,7] => 113
[1,4,5,2,6,7,3] => [1,2,4,3,5,7,6] => 136
[1,4,5,2,7,3,6] => [1,3,5,2,7,4,6] => 113
[1,4,5,2,7,6,3] => [1,2,4,3,7,6,5] => 70
[1,4,5,3,2,6,7] => [1,2,5,4,3,6,7] => 95
[1,4,5,3,2,7,6] => [1,2,5,4,3,7,6] => 61
[1,4,5,3,6,2,7] => [1,2,4,3,6,5,7] => 113
[1,4,5,3,6,7,2] => [1,2,4,3,5,7,6] => 136
[1,4,5,3,7,2,6] => [1,2,5,4,7,3,6] => 113
[1,4,5,3,7,6,2] => [1,2,4,3,7,6,5] => 70
[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => 227
[1,4,5,6,2,7,3] => [1,2,3,5,4,7,6] => 151
[1,4,5,6,3,2,7] => [1,2,3,6,5,4,7] => 123
[1,4,5,6,3,7,2] => [1,2,3,5,4,7,6] => 151
[1,4,5,6,7,2,3] => [1,2,3,5,7,4,6] => 255
[1,4,5,6,7,3,2] => [1,2,3,4,7,6,5] => 165
[1,4,5,7,2,3,6] => [1,3,5,7,2,4,6] => 227
[1,4,5,7,2,6,3] => [1,2,4,7,3,6,5] => 151
[1,4,5,7,3,2,6] => [1,2,5,7,4,3,6] => 123
[1,4,5,7,3,6,2] => [1,2,4,7,3,6,5] => 151
[1,4,5,7,6,2,3] => [1,2,4,7,6,3,5] => 123
[1,4,5,7,6,3,2] => [1,2,3,7,6,5,4] => 75
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => 202
[1,4,6,2,3,7,5] => [1,3,5,2,4,7,6] => 136
[1,4,6,2,5,3,7] => [1,3,6,2,5,4,7] => 113
[1,4,6,2,5,7,3] => [1,3,5,2,4,7,6] => 136
[1,4,6,2,7,3,5] => [1,3,5,2,7,4,6] => 113
[1,4,6,2,7,5,3] => [1,2,4,3,7,6,5] => 70
[1,4,6,3,2,5,7] => [1,4,6,3,2,5,7] => 95
[1,4,6,3,2,7,5] => [1,2,5,4,3,7,6] => 61
[1,4,6,3,5,2,7] => [1,3,6,2,5,4,7] => 113
[1,4,6,3,5,7,2] => [1,3,5,2,4,7,6] => 136
[1,4,6,3,7,2,5] => [1,2,5,4,7,3,6] => 113
[1,4,6,3,7,5,2] => [1,2,4,3,7,6,5] => 70
[1,4,6,5,2,3,7] => [1,3,6,5,2,4,7] => 95
[1,4,6,5,2,7,3] => [1,2,5,4,3,7,6] => 61
[1,4,6,5,3,2,7] => [1,2,6,5,4,3,7] => 47
[1,4,6,5,3,7,2] => [1,2,5,4,3,7,6] => 61
[1,4,6,5,7,2,3] => [1,2,5,4,7,3,6] => 113
[1,4,6,5,7,3,2] => [1,2,4,3,7,6,5] => 70
[1,4,6,7,2,3,5] => [1,3,5,7,2,4,6] => 227
[1,4,6,7,2,5,3] => [1,2,4,7,3,6,5] => 151
[1,4,6,7,3,2,5] => [1,2,5,7,4,3,6] => 123
[1,4,6,7,3,5,2] => [1,2,4,7,3,6,5] => 151
[1,4,6,7,5,2,3] => [1,2,4,7,6,3,5] => 123
[1,4,6,7,5,3,2] => [1,2,3,7,6,5,4] => 75
[1,4,7,2,5,3,6] => [1,3,7,2,5,4,6] => 113
[1,4,7,2,5,6,3] => [1,3,7,2,4,6,5] => 136
[1,4,7,2,6,5,3] => [1,3,7,2,6,5,4] => 70
[1,4,7,3,5,2,6] => [1,3,7,2,5,4,6] => 113
[1,4,7,3,5,6,2] => [1,3,7,2,4,6,5] => 136
[1,4,7,3,6,5,2] => [1,3,7,2,6,5,4] => 70
[1,4,7,5,2,3,6] => [1,3,7,5,2,4,6] => 95
[1,4,7,5,2,6,3] => [1,2,7,4,3,6,5] => 61
[1,4,7,5,3,2,6] => [1,2,7,5,4,3,6] => 47
[1,4,7,5,3,6,2] => [1,2,7,4,3,6,5] => 61
[1,4,7,5,6,2,3] => [1,2,7,4,6,3,5] => 113
[1,4,7,5,6,3,2] => [1,2,7,3,6,5,4] => 70
[1,4,7,6,2,5,3] => [1,3,7,6,2,5,4] => 61
[1,4,7,6,3,5,2] => [1,3,7,6,2,5,4] => 61
[1,4,7,6,5,2,3] => [1,3,7,6,5,2,4] => 47
[1,4,7,6,5,3,2] => [1,2,7,6,5,4,3] => 27
[1,5,2,3,6,4,7] => [1,4,2,3,6,5,7] => 99
[1,5,2,3,6,7,4] => [1,4,2,3,5,7,6] => 118
[1,5,2,3,7,6,4] => [1,4,2,3,7,6,5] => 62
[1,5,2,4,6,3,7] => [1,4,2,3,6,5,7] => 99
[1,5,2,4,6,7,3] => [1,4,2,3,5,7,6] => 118
[1,5,2,4,7,6,3] => [1,4,2,3,7,6,5] => 62
[1,5,2,6,3,4,7] => [1,4,2,6,3,5,7] => 85
[1,5,2,6,3,7,4] => [1,3,2,5,4,7,6] => 55
[1,5,2,6,4,3,7] => [1,3,2,6,5,4,7] => 43
[1,5,2,6,4,7,3] => [1,3,2,5,4,7,6] => 55
[1,5,2,6,7,3,4] => [1,3,2,5,7,4,6] => 99
[1,5,2,6,7,4,3] => [1,3,2,4,7,6,5] => 62
[1,5,2,7,3,6,4] => [1,4,2,7,3,6,5] => 55
[1,5,2,7,4,6,3] => [1,4,2,7,3,6,5] => 55
[1,5,2,7,6,3,4] => [1,4,2,7,6,3,5] => 43
[1,5,2,7,6,4,3] => [1,3,2,7,6,5,4] => 25
[1,5,3,2,6,4,7] => [1,4,3,2,6,5,7] => 37
[1,5,3,2,6,7,4] => [1,4,3,2,5,7,6] => 46
[1,5,3,2,7,6,4] => [1,4,3,2,7,6,5] => 22
[1,5,3,4,6,2,7] => [1,4,2,3,6,5,7] => 99
[1,5,3,4,6,7,2] => [1,4,2,3,5,7,6] => 118
[1,5,3,4,7,6,2] => [1,4,2,3,7,6,5] => 62
[1,5,3,6,2,4,7] => [1,4,3,6,2,5,7] => 85
[1,5,3,6,2,7,4] => [1,3,2,5,4,7,6] => 55
[1,5,3,6,4,2,7] => [1,3,2,6,5,4,7] => 43
[1,5,3,6,4,7,2] => [1,3,2,5,4,7,6] => 55
[1,5,3,6,7,2,4] => [1,3,2,5,7,4,6] => 99
[1,5,3,6,7,4,2] => [1,3,2,4,7,6,5] => 62
[1,5,3,7,2,6,4] => [1,4,3,7,2,6,5] => 55
[1,5,3,7,4,6,2] => [1,4,2,7,3,6,5] => 55
[1,5,3,7,6,2,4] => [1,4,3,7,6,2,5] => 43
[1,5,3,7,6,4,2] => [1,3,2,7,6,5,4] => 25
[1,5,4,2,6,3,7] => [1,4,3,2,6,5,7] => 37
[1,5,4,2,6,7,3] => [1,4,3,2,5,7,6] => 46
[1,5,4,2,7,6,3] => [1,4,3,2,7,6,5] => 22
[1,5,4,3,6,2,7] => [1,4,3,2,6,5,7] => 37
[1,5,4,3,6,7,2] => [1,4,3,2,5,7,6] => 46
[1,5,4,3,7,6,2] => [1,4,3,2,7,6,5] => 22
[1,5,4,6,2,3,7] => [1,4,3,6,2,5,7] => 85
[1,5,4,6,2,7,3] => [1,3,2,5,4,7,6] => 55
[1,5,4,6,3,2,7] => [1,3,2,6,5,4,7] => 43
[1,5,4,6,3,7,2] => [1,3,2,5,4,7,6] => 55
[1,5,4,6,7,2,3] => [1,3,2,5,7,4,6] => 99
[1,5,4,6,7,3,2] => [1,3,2,4,7,6,5] => 62
[1,5,4,7,2,6,3] => [1,4,3,7,2,6,5] => 55
[1,5,4,7,3,6,2] => [1,4,3,7,2,6,5] => 55
[1,5,4,7,6,2,3] => [1,4,3,7,6,2,5] => 43
[1,5,4,7,6,3,2] => [1,3,2,7,6,5,4] => 25
[1,5,6,2,3,4,7] => [1,4,6,2,3,5,7] => 202
[1,5,6,2,3,7,4] => [1,3,5,2,4,7,6] => 136
[1,5,6,2,4,3,7] => [1,3,6,2,5,4,7] => 113
[1,5,6,2,4,7,3] => [1,3,5,2,4,7,6] => 136
[1,5,6,2,7,3,4] => [1,3,5,2,7,4,6] => 113
[1,5,6,2,7,4,3] => [1,2,4,3,7,6,5] => 70
[1,5,6,3,2,4,7] => [1,4,6,3,2,5,7] => 95
[1,5,6,3,2,7,4] => [1,2,5,4,3,7,6] => 61
[1,5,6,3,4,2,7] => [1,3,6,2,5,4,7] => 113
[1,5,6,3,4,7,2] => [1,3,5,2,4,7,6] => 136
[1,5,6,3,7,2,4] => [1,2,5,4,7,3,6] => 113
[1,5,6,3,7,4,2] => [1,2,4,3,7,6,5] => 70
[1,5,6,4,2,3,7] => [1,3,6,5,2,4,7] => 95
[1,5,6,4,2,7,3] => [1,2,5,4,3,7,6] => 61
[1,5,6,4,3,2,7] => [1,2,6,5,4,3,7] => 47
[1,5,6,4,3,7,2] => [1,2,5,4,3,7,6] => 61
[1,5,6,4,7,2,3] => [1,2,5,4,7,3,6] => 113
[1,5,6,4,7,3,2] => [1,2,4,3,7,6,5] => 70
[1,5,6,7,2,3,4] => [1,3,5,7,2,4,6] => 227
[1,5,6,7,2,4,3] => [1,2,4,7,3,6,5] => 151
[1,5,6,7,3,2,4] => [1,2,5,7,4,3,6] => 123
[1,5,6,7,3,4,2] => [1,2,4,7,3,6,5] => 151
[1,5,6,7,4,2,3] => [1,2,4,7,6,3,5] => 123
[1,5,6,7,4,3,2] => [1,2,3,7,6,5,4] => 75
[1,5,7,2,6,4,3] => [1,3,7,2,6,5,4] => 70
[1,5,7,3,6,4,2] => [1,3,7,2,6,5,4] => 70
[1,5,7,4,6,3,2] => [1,3,7,2,6,5,4] => 70
[1,5,7,6,2,4,3] => [1,3,7,6,2,5,4] => 61
[1,5,7,6,3,4,2] => [1,3,7,6,2,5,4] => 61
[1,5,7,6,4,2,3] => [1,3,7,6,5,2,4] => 47
[1,5,7,6,4,3,2] => [1,2,7,6,5,4,3] => 27
[1,6,2,3,7,5,4] => [1,4,2,3,7,6,5] => 62
[1,6,2,4,7,5,3] => [1,4,2,3,7,6,5] => 62
[1,6,2,5,7,4,3] => [1,4,2,3,7,6,5] => 62
[1,6,2,7,3,5,4] => [1,4,2,7,3,6,5] => 55
[1,6,2,7,4,5,3] => [1,4,2,7,3,6,5] => 55
[1,6,2,7,5,3,4] => [1,4,2,7,6,3,5] => 43
[1,6,2,7,5,4,3] => [1,3,2,7,6,5,4] => 25
[1,6,3,2,7,5,4] => [1,4,3,2,7,6,5] => 22
[1,6,3,4,7,5,2] => [1,4,2,3,7,6,5] => 62
[1,6,3,5,7,4,2] => [1,4,2,3,7,6,5] => 62
[1,6,3,7,2,5,4] => [1,4,3,7,2,6,5] => 55
[1,6,3,7,4,5,2] => [1,4,2,7,3,6,5] => 55
[1,6,3,7,5,2,4] => [1,4,3,7,6,2,5] => 43
[1,6,3,7,5,4,2] => [1,3,2,7,6,5,4] => 25
[1,6,4,2,7,5,3] => [1,4,3,2,7,6,5] => 22
[1,6,4,3,7,5,2] => [1,4,3,2,7,6,5] => 22
[1,6,4,5,7,3,2] => [1,4,2,3,7,6,5] => 62
[1,6,4,7,2,5,3] => [1,4,3,7,2,6,5] => 55
[1,6,4,7,3,5,2] => [1,4,3,7,2,6,5] => 55
[1,6,4,7,5,2,3] => [1,4,3,7,6,2,5] => 43
[1,6,4,7,5,3,2] => [1,3,2,7,6,5,4] => 25
[1,6,5,2,7,4,3] => [1,4,3,2,7,6,5] => 22
[1,6,5,3,7,4,2] => [1,4,3,2,7,6,5] => 22
[1,6,5,4,7,3,2] => [1,4,3,2,7,6,5] => 22
[1,6,5,7,2,4,3] => [1,4,3,7,2,6,5] => 55
[1,6,5,7,3,4,2] => [1,4,3,7,2,6,5] => 55
[1,6,5,7,4,2,3] => [1,4,3,7,6,2,5] => 43
[1,6,5,7,4,3,2] => [1,3,2,7,6,5,4] => 25
[1,6,7,2,5,4,3] => [1,3,7,2,6,5,4] => 70
[1,6,7,3,5,4,2] => [1,3,7,2,6,5,4] => 70
[1,6,7,4,5,3,2] => [1,3,7,2,6,5,4] => 70
[1,6,7,5,2,4,3] => [1,3,7,6,2,5,4] => 61
[1,6,7,5,3,4,2] => [1,3,7,6,2,5,4] => 61
[1,6,7,5,4,2,3] => [1,3,7,6,5,2,4] => 47
[1,6,7,5,4,3,2] => [1,2,7,6,5,4,3] => 27
[2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => 174
[2,3,1,4,5,7,6] => [1,3,2,4,5,7,6] => 118
[2,3,1,4,6,5,7] => [1,3,2,4,6,5,7] => 99
[2,3,1,4,6,7,5] => [1,3,2,4,5,7,6] => 118
[2,3,1,4,7,5,6] => [1,3,2,4,7,5,6] => 99
[2,3,1,4,7,6,5] => [1,3,2,4,7,6,5] => 62
[2,3,1,5,4,6,7] => [1,3,2,5,4,6,7] => 85
[2,3,1,5,4,7,6] => [1,3,2,5,4,7,6] => 55
[2,3,1,5,6,4,7] => [1,3,2,4,6,5,7] => 99
[2,3,1,5,6,7,4] => [1,3,2,4,5,7,6] => 118
[2,3,1,5,7,4,6] => [1,3,2,5,7,4,6] => 99
[2,3,1,5,7,6,4] => [1,3,2,4,7,6,5] => 62
[2,3,1,6,4,5,7] => [1,3,2,6,4,5,7] => 85
[2,3,1,6,4,7,5] => [1,3,2,5,4,7,6] => 55
[2,3,1,6,5,4,7] => [1,3,2,6,5,4,7] => 43
[2,3,1,6,5,7,4] => [1,3,2,5,4,7,6] => 55
[2,3,1,6,7,4,5] => [1,3,2,5,7,4,6] => 99
[2,3,1,6,7,5,4] => [1,3,2,4,7,6,5] => 62
[2,3,1,7,4,5,6] => [1,3,2,7,4,5,6] => 85
[2,3,1,7,4,6,5] => [1,3,2,7,4,6,5] => 55
[2,3,1,7,5,4,6] => [1,3,2,7,5,4,6] => 43
[2,3,1,7,5,6,4] => [1,3,2,7,4,6,5] => 55
[2,3,1,7,6,4,5] => [1,3,2,7,6,4,5] => 43
[2,3,1,7,6,5,4] => [1,3,2,7,6,5,4] => 25
[2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => 202
[2,3,4,1,5,7,6] => [1,2,4,3,5,7,6] => 136
[2,3,4,1,6,5,7] => [1,2,4,3,6,5,7] => 113
[2,3,4,1,6,7,5] => [1,2,4,3,5,7,6] => 136
[2,3,4,1,7,5,6] => [1,2,4,3,7,5,6] => 113
[2,3,4,1,7,6,5] => [1,2,4,3,7,6,5] => 70
[2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => 227
[2,3,4,5,1,7,6] => [1,2,3,5,4,7,6] => 151
[2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => 255
[2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => 297
[2,3,4,5,7,1,6] => [1,2,3,5,7,4,6] => 255
[2,3,4,5,7,6,1] => [1,2,3,4,7,6,5] => 165
[2,3,4,6,1,5,7] => [1,2,4,6,3,5,7] => 227
[2,3,4,6,1,7,5] => [1,2,3,5,4,7,6] => 151
[2,3,4,6,5,1,7] => [1,2,3,6,5,4,7] => 123
[2,3,4,6,5,7,1] => [1,2,3,5,4,7,6] => 151
[2,3,4,6,7,1,5] => [1,2,3,5,7,4,6] => 255
[2,3,4,6,7,5,1] => [1,2,3,4,7,6,5] => 165
[2,3,4,7,1,5,6] => [1,2,4,7,3,5,6] => 227
[2,3,4,7,1,6,5] => [1,2,4,7,3,6,5] => 151
[2,3,4,7,5,1,6] => [1,2,3,7,5,4,6] => 123
[2,3,4,7,5,6,1] => [1,2,3,7,4,6,5] => 151
[2,3,4,7,6,1,5] => [1,2,4,7,6,3,5] => 123
[2,3,4,7,6,5,1] => [1,2,3,7,6,5,4] => 75
[2,3,5,1,4,6,7] => [1,3,5,2,4,6,7] => 202
[2,3,5,1,4,7,6] => [1,3,5,2,4,7,6] => 136
[2,3,5,1,6,4,7] => [1,2,4,3,6,5,7] => 113
[2,3,5,1,6,7,4] => [1,2,4,3,5,7,6] => 136
[2,3,5,1,7,4,6] => [1,3,5,2,7,4,6] => 113
[2,3,5,1,7,6,4] => [1,2,4,3,7,6,5] => 70
[2,3,5,4,1,6,7] => [1,2,5,4,3,6,7] => 95
[2,3,5,4,1,7,6] => [1,2,5,4,3,7,6] => 61
[2,3,5,4,6,1,7] => [1,2,4,3,6,5,7] => 113
[2,3,5,4,6,7,1] => [1,2,4,3,5,7,6] => 136
[2,3,5,4,7,1,6] => [1,2,5,4,7,3,6] => 113
[2,3,5,4,7,6,1] => [1,2,4,3,7,6,5] => 70
[2,3,5,6,1,4,7] => [1,2,4,6,3,5,7] => 227
[2,3,5,6,1,7,4] => [1,2,3,5,4,7,6] => 151
[2,3,5,6,4,1,7] => [1,2,3,6,5,4,7] => 123
[2,3,5,6,4,7,1] => [1,2,3,5,4,7,6] => 151
[2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => 255
[2,3,5,6,7,4,1] => [1,2,3,4,7,6,5] => 165
[2,3,5,7,1,4,6] => [1,3,5,7,2,4,6] => 227
[2,3,5,7,1,6,4] => [1,2,4,7,3,6,5] => 151
[2,3,5,7,4,1,6] => [1,2,5,7,4,3,6] => 123
[2,3,5,7,4,6,1] => [1,2,4,7,3,6,5] => 151
[2,3,5,7,6,1,4] => [1,2,4,7,6,3,5] => 123
[2,3,5,7,6,4,1] => [1,2,3,7,6,5,4] => 75
[2,3,6,1,4,5,7] => [1,3,6,2,4,5,7] => 202
[2,3,6,1,4,7,5] => [1,3,5,2,4,7,6] => 136
[2,3,6,1,5,4,7] => [1,3,6,2,5,4,7] => 113
[2,3,6,1,5,7,4] => [1,3,5,2,4,7,6] => 136
[2,3,6,1,7,4,5] => [1,3,5,2,7,4,6] => 113
[2,3,6,1,7,5,4] => [1,2,4,3,7,6,5] => 70
[2,3,6,4,1,5,7] => [1,2,6,4,3,5,7] => 95
[2,3,6,4,1,7,5] => [1,2,5,4,3,7,6] => 61
[2,3,6,4,5,1,7] => [1,2,6,3,5,4,7] => 113
[2,3,6,4,5,7,1] => [1,2,5,3,4,7,6] => 136
[2,3,6,4,7,1,5] => [1,2,5,4,7,3,6] => 113
[2,3,6,4,7,5,1] => [1,2,4,3,7,6,5] => 70
[2,3,6,5,1,4,7] => [1,3,6,5,2,4,7] => 95
[2,3,6,5,1,7,4] => [1,2,5,4,3,7,6] => 61
[2,3,6,5,4,1,7] => [1,2,6,5,4,3,7] => 47
[2,3,6,5,4,7,1] => [1,2,5,4,3,7,6] => 61
[2,3,6,5,7,1,4] => [1,2,5,4,7,3,6] => 113
[2,3,6,5,7,4,1] => [1,2,4,3,7,6,5] => 70
[2,3,6,7,1,4,5] => [1,3,5,7,2,4,6] => 227
[2,3,6,7,1,5,4] => [1,2,4,7,3,6,5] => 151
[2,3,6,7,4,1,5] => [1,2,5,7,4,3,6] => 123
[2,3,6,7,4,5,1] => [1,2,4,7,3,6,5] => 151
[2,3,6,7,5,1,4] => [1,2,4,7,6,3,5] => 123
[2,3,6,7,5,4,1] => [1,2,3,7,6,5,4] => 75
[2,3,7,1,4,5,6] => [1,3,7,2,4,5,6] => 202
[2,3,7,1,4,6,5] => [1,3,7,2,4,6,5] => 136
[2,3,7,1,5,4,6] => [1,3,7,2,5,4,6] => 113
[2,3,7,1,5,6,4] => [1,3,7,2,4,6,5] => 136
[2,3,7,1,6,4,5] => [1,3,7,2,6,4,5] => 113
[2,3,7,1,6,5,4] => [1,3,7,2,6,5,4] => 70
[2,3,7,4,1,5,6] => [1,2,7,4,3,5,6] => 95
[2,3,7,4,1,6,5] => [1,2,7,4,3,6,5] => 61
[2,3,7,4,5,1,6] => [1,2,7,3,5,4,6] => 113
[2,3,7,4,5,6,1] => [1,2,7,3,4,6,5] => 136
[2,3,7,4,6,1,5] => [1,2,7,4,6,3,5] => 113
[2,3,7,4,6,5,1] => [1,2,7,3,6,5,4] => 70
[2,3,7,5,1,4,6] => [1,3,7,5,2,4,6] => 95
[2,3,7,5,1,6,4] => [1,2,7,4,3,6,5] => 61
[2,3,7,5,4,1,6] => [1,2,7,5,4,3,6] => 47
[2,3,7,5,4,6,1] => [1,2,7,4,3,6,5] => 61
[2,3,7,5,6,1,4] => [1,2,7,4,6,3,5] => 113
[2,3,7,5,6,4,1] => [1,2,7,3,6,5,4] => 70
[2,3,7,6,1,4,5] => [1,3,7,6,2,4,5] => 95
[2,3,7,6,1,5,4] => [1,3,7,6,2,5,4] => 61
[2,3,7,6,4,1,5] => [1,2,7,6,4,3,5] => 47
[2,3,7,6,4,5,1] => [1,2,7,6,3,5,4] => 61
[2,3,7,6,5,1,4] => [1,3,7,6,5,2,4] => 47
[2,3,7,6,5,4,1] => [1,2,7,6,5,4,3] => 27
[2,4,1,5,3,6,7] => [1,3,2,5,4,6,7] => 85
[2,4,1,5,3,7,6] => [1,3,2,5,4,7,6] => 55
[2,4,1,5,6,3,7] => [1,3,2,4,6,5,7] => 99
[2,4,1,5,6,7,3] => [1,3,2,4,5,7,6] => 118
[2,4,1,5,7,3,6] => [1,3,2,5,7,4,6] => 99
[2,4,1,5,7,6,3] => [1,3,2,4,7,6,5] => 62
[2,4,1,6,3,7,5] => [1,3,2,5,4,7,6] => 55
[2,4,1,6,5,3,7] => [1,3,2,6,5,4,7] => 43
[2,4,1,6,5,7,3] => [1,3,2,5,4,7,6] => 55
[2,4,1,6,7,3,5] => [1,3,2,5,7,4,6] => 99
[2,4,1,6,7,5,3] => [1,3,2,4,7,6,5] => 62
[2,4,1,7,5,3,6] => [1,3,2,7,5,4,6] => 43
[2,4,1,7,5,6,3] => [1,3,2,7,4,6,5] => 55
[2,4,1,7,6,5,3] => [1,3,2,7,6,5,4] => 25
[2,4,3,1,5,6,7] => [1,4,3,2,5,6,7] => 70
[2,4,3,1,5,7,6] => [1,4,3,2,5,7,6] => 46
[2,4,3,1,6,5,7] => [1,4,3,2,6,5,7] => 37
[2,4,3,1,6,7,5] => [1,4,3,2,5,7,6] => 46
[2,4,3,1,7,5,6] => [1,4,3,2,7,5,6] => 37
[2,4,3,1,7,6,5] => [1,4,3,2,7,6,5] => 22
[2,4,3,5,1,6,7] => [1,3,2,5,4,6,7] => 85
[2,4,3,5,1,7,6] => [1,3,2,5,4,7,6] => 55
[2,4,3,5,6,1,7] => [1,3,2,4,6,5,7] => 99
[2,4,3,5,6,7,1] => [1,3,2,4,5,7,6] => 118
[2,4,3,5,7,1,6] => [1,3,2,5,7,4,6] => 99
[2,4,3,5,7,6,1] => [1,3,2,4,7,6,5] => 62
[2,4,3,6,1,5,7] => [1,4,3,6,2,5,7] => 85
[2,4,3,6,1,7,5] => [1,3,2,5,4,7,6] => 55
[2,4,3,6,5,1,7] => [1,3,2,6,5,4,7] => 43
[2,4,3,6,5,7,1] => [1,3,2,5,4,7,6] => 55
[2,4,3,6,7,1,5] => [1,3,2,5,7,4,6] => 99
[2,4,3,6,7,5,1] => [1,3,2,4,7,6,5] => 62
[2,4,3,7,1,5,6] => [1,4,3,7,2,5,6] => 85
[2,4,3,7,1,6,5] => [1,4,3,7,2,6,5] => 55
[2,4,3,7,5,1,6] => [1,3,2,7,5,4,6] => 43
[2,4,3,7,5,6,1] => [1,3,2,7,4,6,5] => 55
[2,4,3,7,6,1,5] => [1,4,3,7,6,2,5] => 43
[2,4,3,7,6,5,1] => [1,3,2,7,6,5,4] => 25
[2,4,5,1,3,6,7] => [1,3,5,2,4,6,7] => 202
[2,4,5,1,3,7,6] => [1,3,5,2,4,7,6] => 136
[2,4,5,1,6,3,7] => [1,2,4,3,6,5,7] => 113
[2,4,5,1,6,7,3] => [1,2,4,3,5,7,6] => 136
[2,4,5,1,7,3,6] => [1,3,5,2,7,4,6] => 113
[2,4,5,1,7,6,3] => [1,2,4,3,7,6,5] => 70
[2,4,5,3,1,6,7] => [1,2,5,4,3,6,7] => 95
[2,4,5,3,1,7,6] => [1,2,5,4,3,7,6] => 61
[2,4,5,3,6,1,7] => [1,2,4,3,6,5,7] => 113
[2,4,5,3,6,7,1] => [1,2,4,3,5,7,6] => 136
[2,4,5,3,7,1,6] => [1,2,5,4,7,3,6] => 113
[2,4,5,3,7,6,1] => [1,2,4,3,7,6,5] => 70
[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => 227
[2,4,5,6,1,7,3] => [1,2,3,5,4,7,6] => 151
[2,4,5,6,3,1,7] => [1,2,3,6,5,4,7] => 123
[2,4,5,6,3,7,1] => [1,2,3,5,4,7,6] => 151
[2,4,5,6,7,1,3] => [1,2,3,5,7,4,6] => 255
[2,4,5,6,7,3,1] => [1,2,3,4,7,6,5] => 165
[2,4,5,7,1,3,6] => [1,3,5,7,2,4,6] => 227
[2,4,5,7,1,6,3] => [1,2,4,7,3,6,5] => 151
[2,4,5,7,3,1,6] => [1,2,5,7,4,3,6] => 123
[2,4,5,7,3,6,1] => [1,2,4,7,3,6,5] => 151
[2,4,5,7,6,1,3] => [1,2,4,7,6,3,5] => 123
[2,4,5,7,6,3,1] => [1,2,3,7,6,5,4] => 75
[2,4,6,1,3,7,5] => [1,3,5,2,4,7,6] => 136
[2,4,6,1,5,3,7] => [1,3,6,2,5,4,7] => 113
[2,4,6,1,5,7,3] => [1,3,5,2,4,7,6] => 136
[2,4,6,1,7,3,5] => [1,3,5,2,7,4,6] => 113
[2,4,6,1,7,5,3] => [1,2,4,3,7,6,5] => 70
[2,4,6,3,1,5,7] => [1,4,6,3,2,5,7] => 95
[2,4,6,3,1,7,5] => [1,2,5,4,3,7,6] => 61
[2,4,6,3,5,1,7] => [1,3,6,2,5,4,7] => 113
[2,4,6,3,5,7,1] => [1,3,5,2,4,7,6] => 136
[2,4,6,3,7,1,5] => [1,2,5,4,7,3,6] => 113
[2,4,6,3,7,5,1] => [1,2,4,3,7,6,5] => 70
[2,4,6,5,1,3,7] => [1,3,6,5,2,4,7] => 95
[2,4,6,5,1,7,3] => [1,2,5,4,3,7,6] => 61
[2,4,6,5,3,1,7] => [1,2,6,5,4,3,7] => 47
[2,4,6,5,3,7,1] => [1,2,5,4,3,7,6] => 61
[2,4,6,5,7,1,3] => [1,2,5,4,7,3,6] => 113
[2,4,6,5,7,3,1] => [1,2,4,3,7,6,5] => 70
[2,4,6,7,1,3,5] => [1,3,5,7,2,4,6] => 227
[2,4,6,7,1,5,3] => [1,2,4,7,3,6,5] => 151
[2,4,6,7,3,1,5] => [1,2,5,7,4,3,6] => 123
[2,4,6,7,3,5,1] => [1,2,4,7,3,6,5] => 151
[2,4,6,7,5,1,3] => [1,2,4,7,6,3,5] => 123
[2,4,6,7,5,3,1] => [1,2,3,7,6,5,4] => 75
[2,4,7,1,5,3,6] => [1,3,7,2,5,4,6] => 113
[2,4,7,1,5,6,3] => [1,3,7,2,4,6,5] => 136
[2,4,7,1,6,5,3] => [1,3,7,2,6,5,4] => 70
[2,4,7,3,5,1,6] => [1,3,7,2,5,4,6] => 113
[2,4,7,3,5,6,1] => [1,3,7,2,4,6,5] => 136
[2,4,7,3,6,5,1] => [1,3,7,2,6,5,4] => 70
[2,4,7,5,1,3,6] => [1,3,7,5,2,4,6] => 95
[2,4,7,5,1,6,3] => [1,2,7,4,3,6,5] => 61
[2,4,7,5,3,1,6] => [1,2,7,5,4,3,6] => 47
[2,4,7,5,3,6,1] => [1,2,7,4,3,6,5] => 61
[2,4,7,5,6,1,3] => [1,2,7,4,6,3,5] => 113
[2,4,7,5,6,3,1] => [1,2,7,3,6,5,4] => 70
[2,4,7,6,1,5,3] => [1,3,7,6,2,5,4] => 61
[2,4,7,6,3,5,1] => [1,3,7,6,2,5,4] => 61
[2,4,7,6,5,1,3] => [1,3,7,6,5,2,4] => 47
[2,4,7,6,5,3,1] => [1,2,7,6,5,4,3] => 27
[2,5,1,6,3,7,4] => [1,3,2,5,4,7,6] => 55
[2,5,1,6,4,3,7] => [1,3,2,6,5,4,7] => 43
[2,5,1,6,4,7,3] => [1,3,2,5,4,7,6] => 55
[2,5,1,6,7,3,4] => [1,3,2,5,7,4,6] => 99
[2,5,1,6,7,4,3] => [1,3,2,4,7,6,5] => 62
[2,5,1,7,6,4,3] => [1,3,2,7,6,5,4] => 25
[2,5,3,1,6,4,7] => [1,4,3,2,6,5,7] => 37
[2,5,3,1,6,7,4] => [1,4,3,2,5,7,6] => 46
[2,5,3,1,7,6,4] => [1,4,3,2,7,6,5] => 22
[2,5,3,4,6,1,7] => [1,4,2,3,6,5,7] => 99
[2,5,3,4,6,7,1] => [1,4,2,3,5,7,6] => 118
[2,5,3,4,7,6,1] => [1,4,2,3,7,6,5] => 62
[2,5,3,6,1,4,7] => [1,4,3,6,2,5,7] => 85
[2,5,3,6,1,7,4] => [1,3,2,5,4,7,6] => 55
[2,5,3,6,4,1,7] => [1,3,2,6,5,4,7] => 43
[2,5,3,6,4,7,1] => [1,3,2,5,4,7,6] => 55
[2,5,3,6,7,1,4] => [1,3,2,5,7,4,6] => 99
[2,5,3,6,7,4,1] => [1,3,2,4,7,6,5] => 62
[2,5,3,7,1,6,4] => [1,4,3,7,2,6,5] => 55
[2,5,3,7,4,6,1] => [1,4,2,7,3,6,5] => 55
[2,5,3,7,6,1,4] => [1,4,3,7,6,2,5] => 43
[2,5,3,7,6,4,1] => [1,3,2,7,6,5,4] => 25
[2,5,4,1,6,3,7] => [1,4,3,2,6,5,7] => 37
[2,5,4,1,6,7,3] => [1,4,3,2,5,7,6] => 46
[2,5,4,1,7,6,3] => [1,4,3,2,7,6,5] => 22
[2,5,4,3,6,1,7] => [1,4,3,2,6,5,7] => 37
[2,5,4,3,6,7,1] => [1,4,3,2,5,7,6] => 46
[2,5,4,3,7,6,1] => [1,4,3,2,7,6,5] => 22
[2,5,4,6,1,3,7] => [1,4,3,6,2,5,7] => 85
[2,5,4,6,1,7,3] => [1,3,2,5,4,7,6] => 55
[2,5,4,6,3,1,7] => [1,3,2,6,5,4,7] => 43
[2,5,4,6,3,7,1] => [1,3,2,5,4,7,6] => 55
[2,5,4,6,7,1,3] => [1,3,2,5,7,4,6] => 99
[2,5,4,6,7,3,1] => [1,3,2,4,7,6,5] => 62
[2,5,4,7,1,6,3] => [1,4,3,7,2,6,5] => 55
[2,5,4,7,3,6,1] => [1,4,3,7,2,6,5] => 55
[2,5,4,7,6,1,3] => [1,4,3,7,6,2,5] => 43
[2,5,4,7,6,3,1] => [1,3,2,7,6,5,4] => 25
[2,5,6,1,3,7,4] => [1,3,5,2,4,7,6] => 136
[2,5,6,1,4,3,7] => [1,3,6,2,5,4,7] => 113
[2,5,6,1,4,7,3] => [1,3,5,2,4,7,6] => 136
[2,5,6,1,7,3,4] => [1,3,5,2,7,4,6] => 113
[2,5,6,1,7,4,3] => [1,2,4,3,7,6,5] => 70
[2,5,6,3,1,4,7] => [1,4,6,3,2,5,7] => 95
[2,5,6,3,1,7,4] => [1,2,5,4,3,7,6] => 61
[2,5,6,3,4,1,7] => [1,3,6,2,5,4,7] => 113
[2,5,6,3,4,7,1] => [1,3,5,2,4,7,6] => 136
[2,5,6,3,7,1,4] => [1,2,5,4,7,3,6] => 113
[2,5,6,3,7,4,1] => [1,2,4,3,7,6,5] => 70
[2,5,6,4,1,3,7] => [1,3,6,5,2,4,7] => 95
[2,5,6,4,1,7,3] => [1,2,5,4,3,7,6] => 61
[2,5,6,4,3,1,7] => [1,2,6,5,4,3,7] => 47
[2,5,6,4,3,7,1] => [1,2,5,4,3,7,6] => 61
[2,5,6,4,7,1,3] => [1,2,5,4,7,3,6] => 113
[2,5,6,4,7,3,1] => [1,2,4,3,7,6,5] => 70
[2,5,6,7,1,3,4] => [1,3,5,7,2,4,6] => 227
[2,5,6,7,1,4,3] => [1,2,4,7,3,6,5] => 151
[2,5,6,7,3,1,4] => [1,2,5,7,4,3,6] => 123
[2,5,6,7,3,4,1] => [1,2,4,7,3,6,5] => 151
[2,5,6,7,4,1,3] => [1,2,4,7,6,3,5] => 123
[2,5,6,7,4,3,1] => [1,2,3,7,6,5,4] => 75
[2,5,7,1,6,4,3] => [1,3,7,2,6,5,4] => 70
[2,5,7,3,6,4,1] => [1,3,7,2,6,5,4] => 70
[2,5,7,4,6,3,1] => [1,3,7,2,6,5,4] => 70
[2,5,7,6,1,4,3] => [1,3,7,6,2,5,4] => 61
[2,5,7,6,3,4,1] => [1,3,7,6,2,5,4] => 61
[2,5,7,6,4,1,3] => [1,3,7,6,5,2,4] => 47
[2,5,7,6,4,3,1] => [1,2,7,6,5,4,3] => 27
[2,6,1,7,5,4,3] => [1,3,2,7,6,5,4] => 25
[2,6,3,1,7,5,4] => [1,4,3,2,7,6,5] => 22
[2,6,3,4,7,5,1] => [1,4,2,3,7,6,5] => 62
[2,6,3,5,7,4,1] => [1,4,2,3,7,6,5] => 62
[2,6,3,7,1,5,4] => [1,4,3,7,2,6,5] => 55
[2,6,3,7,4,5,1] => [1,4,2,7,3,6,5] => 55
[2,6,3,7,5,1,4] => [1,4,3,7,6,2,5] => 43
[2,6,3,7,5,4,1] => [1,3,2,7,6,5,4] => 25
[2,6,4,1,7,5,3] => [1,4,3,2,7,6,5] => 22
[2,6,4,3,7,5,1] => [1,4,3,2,7,6,5] => 22
[2,6,4,5,7,3,1] => [1,4,2,3,7,6,5] => 62
[2,6,4,7,1,5,3] => [1,4,3,7,2,6,5] => 55
[2,6,4,7,3,5,1] => [1,4,3,7,2,6,5] => 55
[2,6,4,7,5,1,3] => [1,4,3,7,6,2,5] => 43
[2,6,4,7,5,3,1] => [1,3,2,7,6,5,4] => 25
[2,6,5,1,7,4,3] => [1,4,3,2,7,6,5] => 22
[2,6,5,3,7,4,1] => [1,4,3,2,7,6,5] => 22
[2,6,5,4,7,3,1] => [1,4,3,2,7,6,5] => 22
[2,6,5,7,1,4,3] => [1,4,3,7,2,6,5] => 55
[2,6,5,7,3,4,1] => [1,4,3,7,2,6,5] => 55
[2,6,5,7,4,1,3] => [1,4,3,7,6,2,5] => 43
[2,6,5,7,4,3,1] => [1,3,2,7,6,5,4] => 25
[2,6,7,1,5,4,3] => [1,3,7,2,6,5,4] => 70
[2,6,7,3,5,4,1] => [1,3,7,2,6,5,4] => 70
[2,6,7,4,5,3,1] => [1,3,7,2,6,5,4] => 70
[2,6,7,5,1,4,3] => [1,3,7,6,2,5,4] => 61
[2,6,7,5,3,4,1] => [1,3,7,6,2,5,4] => 61
[2,6,7,5,4,1,3] => [1,3,7,6,5,2,4] => 47
[2,6,7,5,4,3,1] => [1,2,7,6,5,4,3] => 27
[3,4,1,5,2,6,7] => [1,3,2,5,4,6,7] => 85
[3,4,1,5,2,7,6] => [1,3,2,5,4,7,6] => 55
[3,4,1,5,6,2,7] => [1,3,2,4,6,5,7] => 99
[3,4,1,5,6,7,2] => [1,3,2,4,5,7,6] => 118
[3,4,1,5,7,2,6] => [1,3,2,5,7,4,6] => 99
[3,4,1,5,7,6,2] => [1,3,2,4,7,6,5] => 62
[3,4,1,6,2,7,5] => [1,3,2,5,4,7,6] => 55
[3,4,1,6,5,2,7] => [1,3,2,6,5,4,7] => 43
[3,4,1,6,5,7,2] => [1,3,2,5,4,7,6] => 55
[3,4,1,6,7,2,5] => [1,3,2,5,7,4,6] => 99
[3,4,1,6,7,5,2] => [1,3,2,4,7,6,5] => 62
[3,4,1,7,5,2,6] => [1,3,2,7,5,4,6] => 43
[3,4,1,7,5,6,2] => [1,3,2,7,4,6,5] => 55
[3,4,1,7,6,5,2] => [1,3,2,7,6,5,4] => 25
[3,4,2,1,5,6,7] => [1,4,3,2,5,6,7] => 70
[3,4,2,1,5,7,6] => [1,4,3,2,5,7,6] => 46
[3,4,2,1,6,5,7] => [1,4,3,2,6,5,7] => 37
[3,4,2,1,6,7,5] => [1,4,3,2,5,7,6] => 46
[3,4,2,1,7,5,6] => [1,4,3,2,7,5,6] => 37
[3,4,2,1,7,6,5] => [1,4,3,2,7,6,5] => 22
[3,4,2,5,1,6,7] => [1,3,2,5,4,6,7] => 85
[3,4,2,5,1,7,6] => [1,3,2,5,4,7,6] => 55
[3,4,2,5,6,1,7] => [1,3,2,4,6,5,7] => 99
[3,4,2,5,6,7,1] => [1,3,2,4,5,7,6] => 118
[3,4,2,5,7,1,6] => [1,3,2,5,7,4,6] => 99
[3,4,2,5,7,6,1] => [1,3,2,4,7,6,5] => 62
[3,4,2,6,1,5,7] => [1,4,3,6,2,5,7] => 85
[3,4,2,6,1,7,5] => [1,3,2,5,4,7,6] => 55
[3,4,2,6,5,1,7] => [1,3,2,6,5,4,7] => 43
[3,4,2,6,5,7,1] => [1,3,2,5,4,7,6] => 55
[3,4,2,6,7,1,5] => [1,3,2,5,7,4,6] => 99
[3,4,2,6,7,5,1] => [1,3,2,4,7,6,5] => 62
[3,4,2,7,1,5,6] => [1,4,3,7,2,5,6] => 85
[3,4,2,7,1,6,5] => [1,4,3,7,2,6,5] => 55
[3,4,2,7,5,1,6] => [1,3,2,7,5,4,6] => 43
[3,4,2,7,5,6,1] => [1,3,2,7,4,6,5] => 55
[3,4,2,7,6,1,5] => [1,4,3,7,6,2,5] => 43
[3,4,2,7,6,5,1] => [1,3,2,7,6,5,4] => 25
[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => 202
[3,4,5,1,2,7,6] => [1,3,5,2,4,7,6] => 136
[3,4,5,1,6,2,7] => [1,2,4,3,6,5,7] => 113
[3,4,5,1,6,7,2] => [1,2,4,3,5,7,6] => 136
[3,4,5,1,7,2,6] => [1,3,5,2,7,4,6] => 113
[3,4,5,1,7,6,2] => [1,2,4,3,7,6,5] => 70
[3,4,5,2,1,6,7] => [1,2,5,4,3,6,7] => 95
[3,4,5,2,1,7,6] => [1,2,5,4,3,7,6] => 61
[3,4,5,2,6,1,7] => [1,2,4,3,6,5,7] => 113
[3,4,5,2,6,7,1] => [1,2,4,3,5,7,6] => 136
[3,4,5,2,7,1,6] => [1,2,5,4,7,3,6] => 113
[3,4,5,2,7,6,1] => [1,2,4,3,7,6,5] => 70
[3,4,5,6,1,2,7] => [1,2,4,6,3,5,7] => 227
[3,4,5,6,1,7,2] => [1,2,3,5,4,7,6] => 151
[3,4,5,6,2,1,7] => [1,2,3,6,5,4,7] => 123
[3,4,5,6,2,7,1] => [1,2,3,5,4,7,6] => 151
[3,4,5,6,7,1,2] => [1,2,3,5,7,4,6] => 255
[3,4,5,6,7,2,1] => [1,2,3,4,7,6,5] => 165
[3,4,5,7,1,2,6] => [1,3,5,7,2,4,6] => 227
[3,4,5,7,1,6,2] => [1,2,4,7,3,6,5] => 151
[3,4,5,7,2,1,6] => [1,2,5,7,4,3,6] => 123
[3,4,5,7,2,6,1] => [1,2,4,7,3,6,5] => 151
[3,4,5,7,6,1,2] => [1,2,4,7,6,3,5] => 123
[3,4,5,7,6,2,1] => [1,2,3,7,6,5,4] => 75
[3,4,6,1,2,7,5] => [1,3,5,2,4,7,6] => 136
[3,4,6,1,5,2,7] => [1,3,6,2,5,4,7] => 113
[3,4,6,1,5,7,2] => [1,3,5,2,4,7,6] => 136
[3,4,6,1,7,2,5] => [1,3,5,2,7,4,6] => 113
[3,4,6,1,7,5,2] => [1,2,4,3,7,6,5] => 70
[3,4,6,2,1,5,7] => [1,4,6,3,2,5,7] => 95
[3,4,6,2,1,7,5] => [1,2,5,4,3,7,6] => 61
[3,4,6,2,5,1,7] => [1,3,6,2,5,4,7] => 113
[3,4,6,2,5,7,1] => [1,3,5,2,4,7,6] => 136
[3,4,6,2,7,1,5] => [1,2,5,4,7,3,6] => 113
[3,4,6,2,7,5,1] => [1,2,4,3,7,6,5] => 70
[3,4,6,5,1,2,7] => [1,3,6,5,2,4,7] => 95
[3,4,6,5,1,7,2] => [1,2,5,4,3,7,6] => 61
[3,4,6,5,2,1,7] => [1,2,6,5,4,3,7] => 47
[3,4,6,5,2,7,1] => [1,2,5,4,3,7,6] => 61
[3,4,6,5,7,1,2] => [1,2,5,4,7,3,6] => 113
[3,4,6,5,7,2,1] => [1,2,4,3,7,6,5] => 70
[3,4,6,7,1,2,5] => [1,3,5,7,2,4,6] => 227
[3,4,6,7,1,5,2] => [1,2,4,7,3,6,5] => 151
[3,4,6,7,2,1,5] => [1,2,5,7,4,3,6] => 123
[3,4,6,7,2,5,1] => [1,2,4,7,3,6,5] => 151
[3,4,6,7,5,1,2] => [1,2,4,7,6,3,5] => 123
[3,4,6,7,5,2,1] => [1,2,3,7,6,5,4] => 75
[3,4,7,1,5,2,6] => [1,3,7,2,5,4,6] => 113
[3,4,7,1,5,6,2] => [1,3,7,2,4,6,5] => 136
[3,4,7,1,6,5,2] => [1,3,7,2,6,5,4] => 70
[3,4,7,2,5,1,6] => [1,3,7,2,5,4,6] => 113
[3,4,7,2,5,6,1] => [1,3,7,2,4,6,5] => 136
[3,4,7,2,6,5,1] => [1,3,7,2,6,5,4] => 70
[3,4,7,5,1,2,6] => [1,3,7,5,2,4,6] => 95
[3,4,7,5,1,6,2] => [1,2,7,4,3,6,5] => 61
[3,4,7,5,2,1,6] => [1,2,7,5,4,3,6] => 47
[3,4,7,5,2,6,1] => [1,2,7,4,3,6,5] => 61
[3,4,7,5,6,1,2] => [1,2,7,4,6,3,5] => 113
[3,4,7,5,6,2,1] => [1,2,7,3,6,5,4] => 70
[3,4,7,6,1,5,2] => [1,3,7,6,2,5,4] => 61
[3,4,7,6,2,5,1] => [1,3,7,6,2,5,4] => 61
[3,4,7,6,5,1,2] => [1,3,7,6,5,2,4] => 47
[3,4,7,6,5,2,1] => [1,2,7,6,5,4,3] => 27
[3,5,1,6,2,7,4] => [1,3,2,5,4,7,6] => 55
[3,5,1,6,4,2,7] => [1,3,2,6,5,4,7] => 43
[3,5,1,6,4,7,2] => [1,3,2,5,4,7,6] => 55
[3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => 99
[3,5,1,6,7,4,2] => [1,3,2,4,7,6,5] => 62
[3,5,1,7,6,4,2] => [1,3,2,7,6,5,4] => 25
[3,5,2,1,6,4,7] => [1,4,3,2,6,5,7] => 37
[3,5,2,1,6,7,4] => [1,4,3,2,5,7,6] => 46
[3,5,2,1,7,6,4] => [1,4,3,2,7,6,5] => 22
[3,5,2,6,1,4,7] => [1,4,3,6,2,5,7] => 85
[3,5,2,6,1,7,4] => [1,3,2,5,4,7,6] => 55
[3,5,2,6,4,1,7] => [1,3,2,6,5,4,7] => 43
[3,5,2,6,4,7,1] => [1,3,2,5,4,7,6] => 55
[3,5,2,6,7,1,4] => [1,3,2,5,7,4,6] => 99
[3,5,2,6,7,4,1] => [1,3,2,4,7,6,5] => 62
[3,5,2,7,1,6,4] => [1,4,3,7,2,6,5] => 55
[3,5,2,7,6,1,4] => [1,4,3,7,6,2,5] => 43
[3,5,2,7,6,4,1] => [1,3,2,7,6,5,4] => 25
[3,5,4,1,6,2,7] => [1,4,3,2,6,5,7] => 37
[3,5,4,1,6,7,2] => [1,4,3,2,5,7,6] => 46
[3,5,4,1,7,6,2] => [1,4,3,2,7,6,5] => 22
[3,5,4,2,6,1,7] => [1,4,3,2,6,5,7] => 37
[3,5,4,2,6,7,1] => [1,4,3,2,5,7,6] => 46
[3,5,4,2,7,6,1] => [1,4,3,2,7,6,5] => 22
[3,5,4,6,1,2,7] => [1,4,3,6,2,5,7] => 85
[3,5,4,6,1,7,2] => [1,3,2,5,4,7,6] => 55
[3,5,4,6,2,1,7] => [1,3,2,6,5,4,7] => 43
[3,5,4,6,2,7,1] => [1,3,2,5,4,7,6] => 55
[3,5,4,6,7,1,2] => [1,3,2,5,7,4,6] => 99
[3,5,4,6,7,2,1] => [1,3,2,4,7,6,5] => 62
[3,5,4,7,1,6,2] => [1,4,3,7,2,6,5] => 55
[3,5,4,7,2,6,1] => [1,4,3,7,2,6,5] => 55
[3,5,4,7,6,1,2] => [1,4,3,7,6,2,5] => 43
[3,5,4,7,6,2,1] => [1,3,2,7,6,5,4] => 25
[3,5,6,1,2,7,4] => [1,3,5,2,4,7,6] => 136
[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => 113
[3,5,6,1,4,7,2] => [1,3,5,2,4,7,6] => 136
[3,5,6,1,7,2,4] => [1,3,5,2,7,4,6] => 113
[3,5,6,1,7,4,2] => [1,2,4,3,7,6,5] => 70
[3,5,6,2,1,4,7] => [1,4,6,3,2,5,7] => 95
[3,5,6,2,1,7,4] => [1,2,5,4,3,7,6] => 61
[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => 113
[3,5,6,2,4,7,1] => [1,3,5,2,4,7,6] => 136
[3,5,6,2,7,1,4] => [1,2,5,4,7,3,6] => 113
[3,5,6,2,7,4,1] => [1,2,4,3,7,6,5] => 70
[3,5,6,4,1,2,7] => [1,3,6,5,2,4,7] => 95
[3,5,6,4,1,7,2] => [1,2,5,4,3,7,6] => 61
[3,5,6,4,2,1,7] => [1,2,6,5,4,3,7] => 47
[3,5,6,4,2,7,1] => [1,2,5,4,3,7,6] => 61
[3,5,6,4,7,1,2] => [1,2,5,4,7,3,6] => 113
[3,5,6,4,7,2,1] => [1,2,4,3,7,6,5] => 70
[3,5,6,7,1,2,4] => [1,3,5,7,2,4,6] => 227
[3,5,6,7,1,4,2] => [1,2,4,7,3,6,5] => 151
[3,5,6,7,2,1,4] => [1,2,5,7,4,3,6] => 123
[3,5,6,7,2,4,1] => [1,2,4,7,3,6,5] => 151
[3,5,6,7,4,1,2] => [1,2,4,7,6,3,5] => 123
[3,5,6,7,4,2,1] => [1,2,3,7,6,5,4] => 75
[3,5,7,1,6,4,2] => [1,3,7,2,6,5,4] => 70
[3,5,7,2,6,4,1] => [1,3,7,2,6,5,4] => 70
[3,5,7,4,6,2,1] => [1,3,7,2,6,5,4] => 70
[3,5,7,6,1,4,2] => [1,3,7,6,2,5,4] => 61
[3,5,7,6,2,4,1] => [1,3,7,6,2,5,4] => 61
[3,5,7,6,4,1,2] => [1,3,7,6,5,2,4] => 47
[3,5,7,6,4,2,1] => [1,2,7,6,5,4,3] => 27
[3,6,1,7,5,4,2] => [1,3,2,7,6,5,4] => 25
[3,6,2,1,7,5,4] => [1,4,3,2,7,6,5] => 22
[3,6,2,7,1,5,4] => [1,4,3,7,2,6,5] => 55
[3,6,2,7,5,1,4] => [1,4,3,7,6,2,5] => 43
[3,6,2,7,5,4,1] => [1,3,2,7,6,5,4] => 25
[3,6,4,1,7,5,2] => [1,4,3,2,7,6,5] => 22
[3,6,4,2,7,5,1] => [1,4,3,2,7,6,5] => 22
[3,6,4,5,7,2,1] => [1,4,2,3,7,6,5] => 62
[3,6,4,7,1,5,2] => [1,4,3,7,2,6,5] => 55
[3,6,4,7,2,5,1] => [1,4,3,7,2,6,5] => 55
[3,6,4,7,5,1,2] => [1,4,3,7,6,2,5] => 43
[3,6,4,7,5,2,1] => [1,3,2,7,6,5,4] => 25
[3,6,5,1,7,4,2] => [1,4,3,2,7,6,5] => 22
[3,6,5,2,7,4,1] => [1,4,3,2,7,6,5] => 22
[3,6,5,4,7,2,1] => [1,4,3,2,7,6,5] => 22
[3,6,5,7,1,4,2] => [1,4,3,7,2,6,5] => 55
[3,6,5,7,2,4,1] => [1,4,3,7,2,6,5] => 55
[3,6,5,7,4,1,2] => [1,4,3,7,6,2,5] => 43
[3,6,5,7,4,2,1] => [1,3,2,7,6,5,4] => 25
[3,6,7,1,5,4,2] => [1,3,7,2,6,5,4] => 70
[3,6,7,2,5,4,1] => [1,3,7,2,6,5,4] => 70
[3,6,7,4,5,2,1] => [1,3,7,2,6,5,4] => 70
[3,6,7,5,1,4,2] => [1,3,7,6,2,5,4] => 61
[3,6,7,5,2,4,1] => [1,3,7,6,2,5,4] => 61
[3,6,7,5,4,1,2] => [1,3,7,6,5,2,4] => 47
[3,6,7,5,4,2,1] => [1,2,7,6,5,4,3] => 27
[4,5,1,6,2,7,3] => [1,3,2,5,4,7,6] => 55
[4,5,1,6,3,2,7] => [1,3,2,6,5,4,7] => 43
[4,5,1,6,3,7,2] => [1,3,2,5,4,7,6] => 55
[4,5,1,6,7,2,3] => [1,3,2,5,7,4,6] => 99
[4,5,1,6,7,3,2] => [1,3,2,4,7,6,5] => 62
[4,5,1,7,6,3,2] => [1,3,2,7,6,5,4] => 25
[4,5,2,1,6,3,7] => [1,4,3,2,6,5,7] => 37
[4,5,2,1,6,7,3] => [1,4,3,2,5,7,6] => 46
[4,5,2,1,7,6,3] => [1,4,3,2,7,6,5] => 22
[4,5,2,6,1,3,7] => [1,4,3,6,2,5,7] => 85
[4,5,2,6,1,7,3] => [1,3,2,5,4,7,6] => 55
[4,5,2,6,3,1,7] => [1,3,2,6,5,4,7] => 43
[4,5,2,6,3,7,1] => [1,3,2,5,4,7,6] => 55
[4,5,2,6,7,1,3] => [1,3,2,5,7,4,6] => 99
[4,5,2,6,7,3,1] => [1,3,2,4,7,6,5] => 62
[4,5,2,7,1,6,3] => [1,4,3,7,2,6,5] => 55
[4,5,2,7,6,1,3] => [1,4,3,7,6,2,5] => 43
[4,5,2,7,6,3,1] => [1,3,2,7,6,5,4] => 25
[4,5,3,1,6,2,7] => [1,4,3,2,6,5,7] => 37
[4,5,3,1,6,7,2] => [1,4,3,2,5,7,6] => 46
[4,5,3,1,7,6,2] => [1,4,3,2,7,6,5] => 22
[4,5,3,2,6,1,7] => [1,4,3,2,6,5,7] => 37
[4,5,3,2,6,7,1] => [1,4,3,2,5,7,6] => 46
[4,5,3,2,7,6,1] => [1,4,3,2,7,6,5] => 22
[4,5,3,6,1,2,7] => [1,4,3,6,2,5,7] => 85
[4,5,3,6,1,7,2] => [1,3,2,5,4,7,6] => 55
[4,5,3,6,2,1,7] => [1,3,2,6,5,4,7] => 43
[4,5,3,6,2,7,1] => [1,3,2,5,4,7,6] => 55
[4,5,3,6,7,1,2] => [1,3,2,5,7,4,6] => 99
[4,5,3,6,7,2,1] => [1,3,2,4,7,6,5] => 62
[4,5,3,7,1,6,2] => [1,4,3,7,2,6,5] => 55
[4,5,3,7,2,6,1] => [1,4,3,7,2,6,5] => 55
[4,5,3,7,6,1,2] => [1,4,3,7,6,2,5] => 43
[4,5,3,7,6,2,1] => [1,3,2,7,6,5,4] => 25
[4,5,6,1,2,7,3] => [1,3,5,2,4,7,6] => 136
[4,5,6,1,3,2,7] => [1,3,6,2,5,4,7] => 113
[4,5,6,1,3,7,2] => [1,3,5,2,4,7,6] => 136
[4,5,6,1,7,2,3] => [1,3,5,2,7,4,6] => 113
[4,5,6,1,7,3,2] => [1,2,4,3,7,6,5] => 70
[4,5,6,2,1,3,7] => [1,4,6,3,2,5,7] => 95
[4,5,6,2,1,7,3] => [1,2,5,4,3,7,6] => 61
[4,5,6,2,3,1,7] => [1,3,6,2,5,4,7] => 113
[4,5,6,2,3,7,1] => [1,3,5,2,4,7,6] => 136
[4,5,6,2,7,1,3] => [1,2,5,4,7,3,6] => 113
[4,5,6,2,7,3,1] => [1,2,4,3,7,6,5] => 70
[4,5,6,3,1,2,7] => [1,3,6,5,2,4,7] => 95
[4,5,6,3,1,7,2] => [1,2,5,4,3,7,6] => 61
[4,5,6,3,2,1,7] => [1,2,6,5,4,3,7] => 47
[4,5,6,3,2,7,1] => [1,2,5,4,3,7,6] => 61
[4,5,6,3,7,1,2] => [1,2,5,4,7,3,6] => 113
[4,5,6,3,7,2,1] => [1,2,4,3,7,6,5] => 70
[4,5,6,7,1,2,3] => [1,3,5,7,2,4,6] => 227
[4,5,6,7,1,3,2] => [1,2,4,7,3,6,5] => 151
[4,5,6,7,2,1,3] => [1,2,5,7,4,3,6] => 123
[4,5,6,7,2,3,1] => [1,2,4,7,3,6,5] => 151
[4,5,6,7,3,1,2] => [1,2,4,7,6,3,5] => 123
[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => 75
[4,5,7,1,6,3,2] => [1,3,7,2,6,5,4] => 70
[4,5,7,2,6,3,1] => [1,3,7,2,6,5,4] => 70
[4,5,7,3,6,2,1] => [1,3,7,2,6,5,4] => 70
[4,5,7,6,1,3,2] => [1,3,7,6,2,5,4] => 61
[4,5,7,6,2,3,1] => [1,3,7,6,2,5,4] => 61
[4,5,7,6,3,1,2] => [1,3,7,6,5,2,4] => 47
[4,5,7,6,3,2,1] => [1,2,7,6,5,4,3] => 27
[4,6,1,7,5,3,2] => [1,3,2,7,6,5,4] => 25
[4,6,2,1,7,5,3] => [1,4,3,2,7,6,5] => 22
[4,6,2,7,1,5,3] => [1,4,3,7,2,6,5] => 55
[4,6,2,7,5,1,3] => [1,4,3,7,6,2,5] => 43
[4,6,2,7,5,3,1] => [1,3,2,7,6,5,4] => 25
[4,6,3,1,7,5,2] => [1,4,3,2,7,6,5] => 22
[4,6,3,2,7,5,1] => [1,4,3,2,7,6,5] => 22
[4,6,3,7,1,5,2] => [1,4,3,7,2,6,5] => 55
[4,6,3,7,2,5,1] => [1,4,3,7,2,6,5] => 55
[4,6,3,7,5,1,2] => [1,4,3,7,6,2,5] => 43
[4,6,3,7,5,2,1] => [1,3,2,7,6,5,4] => 25
[4,6,5,1,7,3,2] => [1,4,3,2,7,6,5] => 22
[4,6,5,2,7,3,1] => [1,4,3,2,7,6,5] => 22
[4,6,5,3,7,2,1] => [1,4,3,2,7,6,5] => 22
[4,6,5,7,1,3,2] => [1,4,3,7,2,6,5] => 55
[4,6,5,7,2,3,1] => [1,4,3,7,2,6,5] => 55
[4,6,5,7,3,1,2] => [1,4,3,7,6,2,5] => 43
[4,6,5,7,3,2,1] => [1,3,2,7,6,5,4] => 25
[4,6,7,1,5,3,2] => [1,3,7,2,6,5,4] => 70
[4,6,7,2,5,3,1] => [1,3,7,2,6,5,4] => 70
[4,6,7,3,5,2,1] => [1,3,7,2,6,5,4] => 70
[4,6,7,5,1,3,2] => [1,3,7,6,2,5,4] => 61
[4,6,7,5,2,3,1] => [1,3,7,6,2,5,4] => 61
[4,6,7,5,3,1,2] => [1,3,7,6,5,2,4] => 47
[4,6,7,5,3,2,1] => [1,2,7,6,5,4,3] => 27
[5,6,1,7,4,3,2] => [1,3,2,7,6,5,4] => 25
[5,6,2,1,7,4,3] => [1,4,3,2,7,6,5] => 22
[5,6,2,7,1,4,3] => [1,4,3,7,2,6,5] => 55
[5,6,2,7,4,1,3] => [1,4,3,7,6,2,5] => 43
[5,6,2,7,4,3,1] => [1,3,2,7,6,5,4] => 25
[5,6,3,1,7,4,2] => [1,4,3,2,7,6,5] => 22
[5,6,3,2,7,4,1] => [1,4,3,2,7,6,5] => 22
[5,6,3,7,1,4,2] => [1,4,3,7,2,6,5] => 55
[5,6,3,7,2,4,1] => [1,4,3,7,2,6,5] => 55
[5,6,3,7,4,1,2] => [1,4,3,7,6,2,5] => 43
[5,6,3,7,4,2,1] => [1,3,2,7,6,5,4] => 25
[5,6,4,1,7,3,2] => [1,4,3,2,7,6,5] => 22
[5,6,4,2,7,3,1] => [1,4,3,2,7,6,5] => 22
[5,6,4,3,7,2,1] => [1,4,3,2,7,6,5] => 22
[5,6,4,7,1,3,2] => [1,4,3,7,2,6,5] => 55
[5,6,4,7,2,3,1] => [1,4,3,7,2,6,5] => 55
[5,6,4,7,3,1,2] => [1,4,3,7,6,2,5] => 43
[5,6,4,7,3,2,1] => [1,3,2,7,6,5,4] => 25
[5,6,7,1,4,3,2] => [1,3,7,2,6,5,4] => 70
[5,6,7,2,4,3,1] => [1,3,7,2,6,5,4] => 70
[5,6,7,3,4,2,1] => [1,3,7,2,6,5,4] => 70
[5,6,7,4,1,3,2] => [1,3,7,6,2,5,4] => 61
[5,6,7,4,2,3,1] => [1,3,7,6,2,5,4] => 61
[5,6,7,4,3,1,2] => [1,3,7,6,5,2,4] => 47
[5,6,7,4,3,2,1] => [1,2,7,6,5,4,3] => 27
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,2,0,1 1,3,5,3,3,0,5,0,3,0,0,0,0,1 1,4,9,9,10,0,16,0,22,0,0,16,0,10,0,0,0,0,9,0,0,0,9,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1
$F_{2} = q + q^{2}$
$F_{3} = q + 2\ q^{2} + 2\ q^{3} + q^{5}$
$F_{4} = q + 3\ q^{2} + 5\ q^{3} + 3\ q^{4} + 3\ q^{5} + 5\ q^{7} + 3\ q^{9} + q^{14}$
$F_{5} = q + 4\ q^{2} + 9\ q^{3} + 9\ q^{4} + 10\ q^{5} + 16\ q^{7} + 22\ q^{9} + 16\ q^{12} + 10\ q^{14} + 9\ q^{19} + 9\ q^{23} + 4\ q^{28} + q^{42}$
$F_{6} = q + 5\ q^{2} + 14\ q^{3} + 19\ q^{4} + 24\ q^{5} + 5\ q^{6} + 35\ q^{7} + 66\ q^{9} + 19\ q^{11} + 61\ q^{12} + 36\ q^{14} + 40\ q^{15} + 35\ q^{18} + 35\ q^{19} + 10\ q^{20} + 40\ q^{23} + 26\ q^{24} + 19\ q^{28} + 61\ q^{30} + 26\ q^{34} + 40\ q^{37} + 5\ q^{42} + 35\ q^{43} + 10\ q^{48} + 14\ q^{56} + 19\ q^{66} + 14\ q^{76} + 5\ q^{90} + q^{132}$
Description
The size of the preimage of the map 'to labelling permutation' from Parking functions to Permutations.
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
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