Identifier
Values
[1] => [1,0,1,0] => [1,1] => 2
[2] => [1,1,0,0,1,0] => [2,1] => 3
[1,1] => [1,0,1,1,0,0] => [1,2] => 3
[3] => [1,1,1,0,0,0,1,0] => [3,1] => 4
[2,1] => [1,0,1,0,1,0] => [1,1,1] => 5
[1,1,1] => [1,0,1,1,1,0,0,0] => [1,3] => 4
[4] => [1,1,1,1,0,0,0,0,1,0] => [4,1] => 5
[3,1] => [1,1,0,1,0,0,1,0] => [2,1,1] => 10
[2,2] => [1,1,0,0,1,1,0,0] => [2,2] => 6
[2,1,1] => [1,0,1,1,0,1,0,0] => [1,2,1] => 10
[1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [1,4] => 5
[5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => 6
[4,1] => [1,1,1,0,1,0,0,0,1,0] => [3,1,1] => 17
[3,2] => [1,1,0,0,1,0,1,0] => [2,1,1] => 10
[3,1,1] => [1,0,1,1,0,0,1,0] => [1,2,1] => 10
[2,2,1] => [1,0,1,0,1,1,0,0] => [1,1,2] => 10
[2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [1,3,1] => 17
[1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => 6
[6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] => 7
[5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,1,1] => 26
[4,2] => [1,1,1,0,0,1,0,0,1,0] => [3,1,1] => 17
[4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [2,2,1] => 24
[3,3] => [1,1,1,0,0,0,1,1,0,0] => [3,2] => 10
[3,2,1] => [1,0,1,0,1,0,1,0] => [1,1,1,1] => 16
[3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [1,3,1] => 17
[2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [2,3] => 10
[2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [1,2,2] => 24
[2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => 26
[1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => 7
[7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1] => 8
[6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,1,1] => 37
[5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,1] => 26
[5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1] => 48
[4,3] => [1,1,1,0,0,0,1,0,1,0] => [3,1,1] => 17
[4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [2,1,1,1] => 39
[4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [1,3,1] => 17
[3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [2,1,2] => 24
[3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [2,2,1] => 24
[3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [1,2,1,1] => 39
[3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => 26
[2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,1,3] => 17
[2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => 48
[2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1] => 37
[1,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => 8
[7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1] => 50
[6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,1] => 37
[6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1] => 85
[5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,1] => 26
[5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1] => 80
[5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1] => 48
[4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => 15
[4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [2,1,1,1] => 39
[4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [2,2,1] => 24
[4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [1,2,1,1] => 39
[4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => 26
[3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [2,1,2] => 24
[3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [1,2,2] => 24
[3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,2,1] => 40
[3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => 80
[3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1] => 37
[2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => 15
[2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => 48
[2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2] => 85
[2,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1] => 50
[7,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,1] => 50
[7,1,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,2,1] => 138
[6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,1] => 37
[6,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1] => 145
[6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1] => 110
[5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] => 26
[5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1] => 80
[5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1] => 48
[5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,1,1] => 110
[5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] => 26
[4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2] => 48
[4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] => 39
[4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] => 39
[4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] => 40
[4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => 80
[4,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1] => 37
[3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] => 20
[3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] => 40
[3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2] => 48
[3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => 48
[3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => 112
[3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,4,1,1] => 145
[3,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1] => 50
[2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => 26
[2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,3] => 110
[2,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2] => 138
[7,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,1] => 50
[7,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1] => 240
[7,1,1,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,3,1] => 220
[6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,1] => 37
[6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1] => 145
[6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1] => 85
[6,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,1] => 256
[6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1] => 85
[5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => 21
[5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1] => 80
[5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1] => 80
>>> Load all 804 entries. <<<
[5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,1,1] => 110
[5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1] => 112
[5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,1,1] => 80
[5,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1] => 37
[4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2] => 48
[4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2] => 67
[4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1] => 48
[4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] => 63
[4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,1,1] => 80
[4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => 48
[4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => 112
[4,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1] => 145
[4,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1] => 50
[3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3] => 48
[3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2] => 67
[3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => 112
[3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2] => 85
[3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] => 82
[3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1] => 259
[3,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1] => 240
[2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => 21
[2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4] => 85
[2,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3] => 220
[7,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [6,1,1] => 50
[7,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1] => 240
[7,2,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [5,2,1] => 138
[7,2,1,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1] => 522
[7,1,1,1,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [3,4,1] => 220
[6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] => 37
[6,4,1] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1] => 145
[6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1] => 145
[6,3,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,1,1] => 256
[6,2,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1] => 259
[6,2,1,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,1,1] => 256
[6,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] => 37
[5,5,1] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2] => 85
[5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1] => 80
[5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,1] => 110
[5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] => 48
[5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1] => 180
[5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,1,1] => 80
[5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] => 48
[5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,1] => 112
[5,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,4,1,1] => 145
[5,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1] => 50
[4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] => 48
[4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,2] => 112
[4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] => 48
[4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1] => 112
[4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1] => 110
[4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => 180
[4,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,4,1,1] => 145
[4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] => 82
[4,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1] => 259
[4,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1] => 240
[3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => 48
[3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => 48
[3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] => 114
[3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2] => 259
[3,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2] => 138
[3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1] => 85
[3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1] => 262
[3,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1] => 526
[2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => 37
[2,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4] => 220
[7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [6,1,1] => 50
[7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [5,1,1,1] => 240
[7,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1] => 240
[7,3,1,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [4,2,1,1] => 522
[7,2,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,1] => 526
[7,2,1,1,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [3,3,1,1] => 664
[7,1,1,1,1,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,5,1] => 138
[6,6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => 28
[6,5,1] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1] => 145
[6,4,2] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1] => 145
[6,4,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,1,1] => 256
[6,3,3] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1] => 85
[6,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1] => 427
[6,3,1,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,1] => 256
[6,2,2,2] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1] => 110
[6,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,1] => 357
[6,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,1] => 145
[6,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1] => 50
[5,5,2] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2] => 85
[5,5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,2,2] => 153
[5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => 80
[5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1] => 180
[5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] => 80
[5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1] => 112
[5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,1,1] => 110
[5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1] => 180
[5,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,4,1,1] => 145
[5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] => 82
[5,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1] => 259
[5,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1] => 240
[4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => 35
[4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,2] => 112
[4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] => 67
[4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2] => 112
[4,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2] => 85
[4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,2,1] => 112
[4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,1] => 112
[4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1] => 184
[4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1] => 427
[4,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,5,1,1] => 240
[4,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1] => 85
[4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1] => 262
[4,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1] => 526
[3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => 35
[3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => 82
[3,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,3] => 110
[3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2] => 153
[3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2] => 363
[3,3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2] => 526
[3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,4,1] => 148
[3,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,3,1] => 676
[2,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => 28
[2,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5] => 138
[7,6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1] => 50
[7,5,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,1,1] => 240
[7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [5,1,1,1] => 240
[7,4,1,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,1] => 522
[7,3,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [5,2,1] => 138
[7,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1] => 888
[7,3,1,1,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [3,3,1,1] => 664
[7,2,2,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [4,3,1] => 220
[7,2,2,1,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,2,2,1] => 924
[7,2,1,1,1,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,4,1,1] => 522
[7,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] => 50
[6,6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,2] => 138
[6,5,2] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1] => 145
[6,5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,1] => 256
[6,4,3] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1] => 145
[6,4,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1] => 427
[6,4,1,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,1] => 256
[6,3,3,1] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1] => 259
[6,3,2,2] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,1] => 256
[6,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1] => 582
[6,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,1] => 145
[6,2,2,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1] => 262
[6,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1] => 259
[6,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,5,1,1] => 240
[5,5,3] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2] => 85
[5,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2] => 153
[5,4,4] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1] => 85
[5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1] => 180
[5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] => 110
[5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1] => 180
[5,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,4,1,1] => 145
[5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] => 112
[5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] => 112
[5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,1] => 184
[5,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1] => 427
[5,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,5,1,1] => 240
[5,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1] => 85
[5,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1] => 262
[5,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1] => 526
[4,4,4,1] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3] => 110
[4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] => 112
[4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] => 112
[4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] => 114
[4,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2] => 259
[4,4,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2] => 138
[4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1] => 110
[4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1] => 188
[4,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1] => 259
[4,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,1] => 256
[4,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,2,1,1] => 594
[4,3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1] => 888
[4,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,4,1] => 148
[4,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,3,1] => 676
[3,3,3,3,1] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4] => 85
[3,3,3,2,2] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3] => 153
[3,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3] => 262
[3,3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3] => 220
[3,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,3,2] => 265
[3,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,2,2] => 936
[3,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1] => 138
[3,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1] => 534
[2,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => 50
[7,6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [5,1,1,1] => 240
[7,5,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [5,1,1,1] => 240
[7,5,1,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1] => 522
[7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [5,1,1,1] => 240
[7,4,2,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1,1] => 888
[7,4,1,1,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1] => 664
[7,3,3,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => 526
[7,3,2,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,2,1,1] => 522
[7,3,2,1,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [3,2,1,1,1] => 1536
[7,3,1,1,1,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,4,1,1] => 522
[7,2,2,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,3,1] => 676
[7,2,2,1,1,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,3,2,1] => 924
[7,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,5,1,1] => 240
[6,6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [5,1,2] => 138
[6,6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [4,2,2] => 306
[6,5,3] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1] => 145
[6,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1] => 427
[6,5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,1] => 256
[6,4,4] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] => 85
[6,4,3,1] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => 427
[6,4,2,2] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,1,1] => 256
[6,4,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1] => 582
[6,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1] => 145
[6,3,3,2] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1] => 259
[6,3,3,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,1] => 357
[6,3,2,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,2,1,1] => 594
[6,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1] => 427
[6,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,5,1,1] => 240
[6,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] => 85
[6,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1] => 262
[6,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1] => 526
[5,5,4] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] => 85
[5,5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2] => 153
[5,5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,2,1,2] => 357
[5,5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => 85
[5,4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1] => 259
[5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] => 180
[5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] => 180
[5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] => 184
[5,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1] => 427
[5,4,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,5,1,1] => 240
[5,3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1] => 110
[5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] => 188
[5,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1] => 259
[5,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1] => 256
[5,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,2,1,1] => 594
[5,3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1] => 888
[5,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,4,1] => 148
[5,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,3,1] => 676
[4,4,4,2] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3] => 110
[4,4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3] => 153
[4,4,3,3] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2] => 153
[4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] => 188
[4,4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2] => 259
[4,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2] => 153
[4,4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2] => 363
[4,4,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2] => 526
[4,3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => 262
[4,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1] => 357
[4,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,2,1] => 603
[4,3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1] => 526
[4,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,3,1,1] => 439
[4,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1] => 1560
[4,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1] => 138
[4,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1] => 534
[3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => 85
[3,3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => 85
[3,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,2,3] => 265
[3,3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3] => 676
[3,3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2] => 306
[3,3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2] => 946
[3,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,5,1] => 244
[7,6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [5,1,1,1] => 240
[7,6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [4,2,1,1] => 522
[7,5,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1] => 240
[7,5,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1,1] => 888
[7,5,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [3,3,1,1] => 664
[7,4,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,2,1] => 138
[7,4,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => 888
[7,4,2,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,1,1] => 522
[7,4,2,1,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,1,1] => 1536
[7,4,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,4,1,1] => 522
[7,3,3,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => 526
[7,3,3,1,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => 924
[7,3,2,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,1,1] => 1560
[7,3,2,1,1,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,3,1,1,1] => 1536
[7,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,5,1,1] => 240
[7,2,2,2,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1] => 220
[7,2,2,2,1,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,2,3,1] => 934
[7,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1] => 526
[6,6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,1,2] => 138
[6,6,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,2] => 526
[6,6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,3,2] => 392
[6,5,4] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => 145
[6,5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => 427
[6,5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,1,1] => 256
[6,5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1] => 582
[6,5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] => 145
[6,4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1] => 259
[6,4,3,2] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => 427
[6,4,3,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => 582
[6,4,2,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,2,1,1] => 594
[6,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1] => 427
[6,4,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,5,1,1] => 240
[6,3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => 110
[6,3,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,2,1] => 603
[6,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1] => 259
[6,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,1] => 256
[6,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,2,1,1] => 594
[6,3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1] => 888
[6,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] => 148
[6,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,3,1] => 676
[5,5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => 56
[5,5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,1,2] => 357
[5,5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,2,2] => 363
[5,5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2] => 259
[5,5,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2] => 138
[5,4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1] => 259
[5,4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,1] => 357
[5,4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 256
[5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] => 296
[5,4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1] => 427
[5,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,1] => 256
[5,4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,2,1,1] => 594
[5,4,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1] => 888
[5,3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => 262
[5,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,1] => 357
[5,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,2,1] => 603
[5,3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1] => 526
[5,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,3,1,1] => 439
[5,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,1] => 1560
[5,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1] => 138
[5,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1] => 534
[4,4,4,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => 110
[4,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,3] => 262
[4,4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] => 110
[4,4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => 363
[4,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,2,1,2] => 357
[4,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,2] => 603
[4,4,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2] => 526
[4,4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,3,2] => 265
[4,4,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,2,2] => 936
[4,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => 262
[4,3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1] => 262
[4,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1] => 611
[4,3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,1] => 1576
[4,3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,1,1] => 522
[4,3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1] => 1580
[4,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,5,1] => 244
[3,3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => 56
[3,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] => 148
[3,3,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4] => 220
[3,3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,3] => 392
[3,3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,2,2,3] => 946
[3,3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,4,2] => 538
[7,6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [5,1,1,1] => 240
[7,6,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1] => 888
[7,6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [3,3,1,1] => 664
[7,5,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,1,1,1] => 240
[7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => 888
[7,5,2,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [4,2,1,1] => 522
[7,5,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [3,2,1,1,1] => 1536
[7,5,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,4,1,1] => 522
[7,4,4,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => 526
[7,4,3,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => 888
[7,4,3,1,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1] => 1536
[7,4,2,2,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,1,1] => 1560
[7,4,2,1,1,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,3,1,1,1] => 1536
[7,4,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,5,1,1] => 240
[7,3,3,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,1] => 220
[7,3,3,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,2,1] => 1576
[7,3,3,1,1,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => 924
[7,3,2,2,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,3,1,1] => 664
[7,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,2,2,1,1] => 2138
[7,3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1] => 888
[7,2,2,2,2,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,1] => 534
[7,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,3,3,1] => 676
[6,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,1,2] => 138
[6,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => 526
[6,6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [4,2,2] => 306
[6,6,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [3,2,1,2] => 924
[6,6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,4,2] => 306
[6,5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,2,1] => 138
[6,5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => 427
[6,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => 427
[6,5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => 582
[6,5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,1] => 594
[6,5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1] => 427
[6,5,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,5,1,1] => 240
[6,4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1] => 259
[6,4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,1] => 357
[6,4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,1] => 256
[6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => 969
[6,4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1] => 427
[6,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,1] => 256
[6,4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,2,1,1] => 594
[6,4,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1] => 888
[6,3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => 262
[6,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1] => 357
[6,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,2,1] => 603
[6,3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1] => 526
[6,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,3,1,1] => 439
[6,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,1,1] => 1560
[6,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1] => 138
[6,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1] => 534
[5,5,5,1] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,3] => 220
[5,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,2,1,2] => 357
[5,5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => 153
[5,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,2] => 603
[5,5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2] => 259
[5,5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] => 153
[5,5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2] => 363
[5,5,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2] => 526
[5,4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1] => 259
[5,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,2,1] => 603
[5,4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,1] => 259
[5,4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => 594
[5,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1] => 582
[5,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => 969
[5,4,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1] => 888
[5,4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,3,1,1] => 439
[5,4,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,2,1,1] => 1560
[5,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => 262
[5,3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,3,1] => 262
[5,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,2,2,1] => 611
[5,3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,1,2,1] => 1576
[5,3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,1,1] => 522
[5,3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,2,3,1,1] => 1580
[5,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,5,1] => 244
[4,4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => 70
[4,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => 262
[4,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => 153
[4,4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3] => 262
[4,4,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3] => 220
[4,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => 363
[4,4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2] => 363
[4,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,2,1,2] => 611
[4,4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,2] => 1576
[4,4,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2] => 306
[4,4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2] => 946
[4,3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1] => 220
[4,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,3,1] => 450
[4,3,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,3,1] => 676
[4,3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => 924
[4,3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,2,2,2,1] => 2194
[4,3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,4,1,1] => 912
[3,3,3,3,3,1] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => 138
[3,3,3,3,2,2] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => 306
[3,3,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4] => 534
[3,3,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,3,3] => 688
[7,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1] => 240
[7,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1] => 888
[7,6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [4,2,1,1] => 522
[7,6,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [3,2,1,1,1] => 1536
[7,6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,4,1,1] => 522
[7,5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => 138
[7,5,4,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => 888
[7,5,3,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => 888
[7,5,3,1,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1] => 1536
[7,5,2,2,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,1,1] => 1560
[7,5,2,1,1,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,3,1,1,1] => 1536
[7,5,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,5,1,1] => 240
[7,4,4,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => 526
[7,4,4,1,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [3,2,2,1] => 924
[7,4,3,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1] => 522
[7,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1] => 2592
[7,4,3,1,1,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] => 1536
[7,4,2,2,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,3,1,1] => 664
[7,4,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,2,2,1,1] => 2138
[7,4,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,4,1,1,1] => 888
[7,3,3,3,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => 676
[7,3,3,2,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => 924
[7,3,3,2,1,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,2,1,2,1] => 2162
[7,3,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1] => 526
[7,3,2,2,2,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,1,1] => 1580
[7,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,3,2,1,1] => 1560
[7,2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] => 138
[7,2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1] => 534
[6,6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => 138
[6,6,4,1] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,1,1,2] => 526
[6,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => 526
[6,6,3,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => 924
[6,6,2,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [3,1,2,2] => 936
[6,6,2,1,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,3,1,2] => 924
[6,6,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] => 138
[6,5,5,1] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => 526
[6,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => 427
[6,5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => 582
[6,5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => 256
[6,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1] => 969
[6,5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1] => 427
[6,5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] => 256
[6,5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,2,1,1] => 594
[6,5,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,1,1,1] => 888
[6,4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => 259
[6,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,2,1] => 603
[6,4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1] => 259
[6,4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => 594
[6,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => 582
[6,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1] => 969
[6,4,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1] => 888
[6,4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,3,1,1] => 439
[6,4,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,1,1] => 1560
[6,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => 262
[6,3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] => 262
[6,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,2,2,1] => 611
[6,3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,1] => 1576
[6,3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1] => 522
[6,3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1] => 1580
[6,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,5,1] => 244
[5,5,5,2] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,1,3] => 220
[5,5,5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,2,3] => 392
[5,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => 259
[5,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,2] => 603
[5,5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] => 259
[5,5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => 363
[5,5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,2,1,2] => 357
[5,5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,2] => 603
[5,5,3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2] => 526
[5,5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] => 265
[5,5,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,2,2] => 936
[5,4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,1] => 220
[5,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => 603
[5,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1] => 357
[5,4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,2,1] => 603
[5,4,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1] => 526
[5,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => 594
[5,4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,1] => 594
[5,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1] => 984
[5,4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1] => 2592
[5,4,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1] => 522
[5,4,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,1,1] => 1580
[5,3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,1] => 220
[5,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,3,1] => 450
[5,3,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,3,1] => 676
[5,3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => 924
[5,3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,2,2,2,1] => 2194
[5,3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,4,1,1] => 912
[4,4,4,4,1] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => 220
[4,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => 262
[4,4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] => 262
[4,4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] => 265
[4,4,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3] => 676
[4,4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2] => 392
[4,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,2,2] => 622
[4,4,3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,2,2] => 936
[4,4,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => 924
[4,4,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,2] => 2194
[4,4,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,4,2] => 538
[4,3,3,3,3,1] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => 534
[4,3,3,3,2,2] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] => 934
[4,3,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,3,1] => 1612
[4,3,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,3,2,1] => 1608
[3,3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => 138
[3,3,3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => 138
[3,3,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,2,4] => 538
[] => [] => [] => 1
[6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1] => 1623
[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => 1023
[6,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] => 1023
[5,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] => 1023
[4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] => 450
[6,5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] => 1006
[5,5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] => 622
[6,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,2,1,1] => 1006
[5,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => 1006
[6,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] => 450
[6,5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] => 984
[5,5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] => 611
[6,4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] => 611
[5,4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,2,1] => 611
[6,5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1] => 984
[5,5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,2,1,2] => 611
[6,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1] => 984
[6,5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] => 439
[6,5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => 969
[5,5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] => 603
[6,4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] => 603
[5,4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,2,1] => 603
[6,5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] => 594
[5,5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] => 363
[6,4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,2,1,1] => 594
[6,5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => 969
[5,5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,2] => 603
[6,4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,2,1] => 603
[6,5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1] => 969
[6,5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => 427
[6,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => 969
[5,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => 603
[6,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => 603
[5,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => 603
[6,5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => 594
[5,5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => 363
[6,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => 594
[6,5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => 582
[5,5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] => 357
[6,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] => 357
[6,5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => 582
[6,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => 969
[5,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => 603
[6,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => 603
[6,5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => 594
[6,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => 969
[6,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => 427
[7,6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1] => 10176
[6,6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => 6344
[7,5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] => 6344
[6,5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] => 6344
[5,5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] => 2790
[7,6,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] => 6264
[6,6,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] => 3848
[7,5,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1] => 6264
[6,5,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => 6264
[5,5,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,2,2] => 3848
[7,4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] => 2790
[6,4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,3,1] => 2790
[5,4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,3,1] => 2790
[4,4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] => 934
[6,6,5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] => 3790
[6,5,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => 6148
[6,5,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1] => 2732
[6,4,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1] => 2732
[5,4,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1] => 2732
[6,3,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,4,1] => 934
[3,3,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] => 244
[6,6,5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => 3732
[6,5,5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,2,1] => 3732
[6,5,4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,2,1,1] => 3688
[6,5,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => 6040
[5,5,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,2] => 3732
[7,6,5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => 2652
[6,5,4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1] => 2652
[6,5,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1] => 2652
[6,4,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,3,1,1,1] => 2652
[5,4,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1] => 2652
[6,5,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1] => 912
[7,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] => 244
[7,6,5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => 5976
[6,6,5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => 3696
[6,5,5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => 3696
[6,6,5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => 3696
[6,5,5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => 3696
[4,4,4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => 534
[6,5,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => 5976
[5,5,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,2] => 3696
[7,6,5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => 2592
[6,5,5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,2,1] => 1576
[6,5,4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => 2592
[7,6,5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => 2592
[5,5,5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3] => 676
[7,5,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] => 2592
[6,5,4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => 2592
[7,6,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1] => 2592
[7,4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1] => 2592
[6,4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1] => 2592
[6,5,4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1] => 888
[6,6,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2] => 526
[7,6,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] => 240
[7,6,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => 5976
[6,6,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => 3696
[7,5,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => 3696
[6,5,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => 3696
[5,5,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => 1612
[7,6,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => 3652
[6,5,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => 3652
[6,5,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => 3588
[5,4,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] => 1580
[4,3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => 534
[6,5,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => 3528
[4,4,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] => 934
[7,6,5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => 1536
[6,5,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] => 1536
[5,4,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] => 1536
[6,6,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => 306
[7,6,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => 5976
[6,6,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => 3696
[6,5,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => 3696
[4,4,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => 534
[7,6,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => 5976
[5,5,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => 1612
[4,4,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => 534
[7,6,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => 5976
[6,6,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => 3696
[5,5,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,1,3] => 1612
[7,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => 5976
[6,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,2] => 3696
[7,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => 5976
[7,6,5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => 3588
[7,6,5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => 3528
[7,6,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1,1] => 3528
[7,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1,1] => 3528
[7,6,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[6,6,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => 1576
[6,5,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => 1576
[5,4,4,4,3] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => 676
[5,4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,3,1,1] => 664
[7,3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => 220
[7,6,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[4,4,4,4,2] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => 220
[7,6,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[7,6,4,3,2] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[7,5,4,3,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => 2592
[7,6,5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[7,5,4,3,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => 2592
[7,6,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[6,6,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => 1576
[7,6,4,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[6,6,4,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => 1576
[7,5,4,2,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => 2592
[7,6,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1] => 2592
[6,6,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,2] => 1576
[7,6,5,4] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => 888
[6,5,5,4] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,2,1] => 526
[7,6,5,3] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => 888
[7,6,4,3] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => 888
[7,5,4,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => 888
[7,6,5,2] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => 888
[7,6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => 240
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Description
The number of words with multiplicities of the letters given by the composition, avoiding the consecutive pattern 132.
The total number of words with letter multiplicities given by an integer partition is St000048The multinomial of the parts of a partition.. For example, there are twelve words with letters $0,0,1,2$ corresponding to the partition $[2,1,1]$. Two of these contain the pattern $132$: $0,0,2,1$ and $0,2,1,0$.
Note that this statistic is not constant on compositions having the same parts.
The number of words of length $n$ with letters in an alphabet of size $k$ avoiding the consecutive pattern $132$ is determined in [1].
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
rise composition
Description
Send a Dyck path to the composition of sizes of its rises.