edit this statistic or download as text // json
Identifier
Values
[1] => 0
[1,1] => 0
[2] => 0
[1,1,1] => 0
[1,2] => 1
[2,1] => 1
[3] => 0
[1,1,1,1] => 0
[1,1,2] => 1
[1,2,1] => 0
[1,3] => 1
[2,1,1] => 1
[2,2] => 0
[3,1] => 1
[4] => 0
[1,1,1,1,1] => 0
[1,1,1,2] => 1
[1,1,2,1] => 1
[1,1,3] => 1
[1,2,1,1] => 1
[1,2,2] => 1
[1,3,1] => 0
[1,4] => 1
[2,1,1,1] => 1
[2,1,2] => 0
[2,2,1] => 1
[2,3] => 1
[3,1,1] => 1
[3,2] => 1
[4,1] => 1
[5] => 0
[1,1,1,1,1,1] => 0
[1,1,1,1,2] => 1
[1,1,1,2,1] => 1
[1,1,1,3] => 1
[1,1,2,1,1] => 0
[1,1,2,2] => 2
[1,1,3,1] => 1
[1,1,4] => 1
[1,2,1,1,1] => 1
[1,2,1,2] => 2
[1,2,2,1] => 0
[1,2,3] => 1
[1,3,1,1] => 1
[1,3,2] => 1
[1,4,1] => 0
[1,5] => 1
[2,1,1,1,1] => 1
[2,1,1,2] => 0
[2,1,2,1] => 2
[2,1,3] => 1
[2,2,1,1] => 2
[2,2,2] => 0
[2,3,1] => 1
[2,4] => 1
[3,1,1,1] => 1
[3,1,2] => 1
[3,2,1] => 1
[3,3] => 0
[4,1,1] => 1
[4,2] => 1
[5,1] => 1
[6] => 0
[1,1,1,1,1,1,1] => 0
[1,1,1,1,1,2] => 1
[1,1,1,1,2,1] => 1
[1,1,1,1,3] => 1
[1,1,1,2,1,1] => 1
[1,1,1,2,2] => 2
[1,1,1,3,1] => 1
[1,1,1,4] => 1
[1,1,2,1,1,1] => 1
[1,1,2,1,2] => 1
[1,1,2,2,1] => 1
[1,1,2,3] => 2
[1,1,3,1,1] => 0
[1,1,3,2] => 2
[1,1,4,1] => 1
[1,1,5] => 1
[1,2,1,1,1,1] => 1
[1,2,1,1,2] => 2
[1,2,1,2,1] => 0
[1,2,1,3] => 2
[1,2,2,1,1] => 1
[1,2,2,2] => 1
[1,2,3,1] => 1
[1,2,4] => 1
[1,3,1,1,1] => 1
[1,3,1,2] => 2
[1,3,2,1] => 1
[1,3,3] => 1
[1,4,1,1] => 1
[1,4,2] => 1
[1,5,1] => 0
[1,6] => 1
[2,1,1,1,1,1] => 1
[2,1,1,1,2] => 0
[2,1,1,2,1] => 2
[2,1,1,3] => 1
[2,1,2,1,1] => 1
[2,1,2,2] => 1
>>> Load all 1023 entries. <<<
[2,1,3,1] => 2
[2,1,4] => 1
[2,2,1,1,1] => 2
[2,2,1,2] => 1
[2,2,2,1] => 1
[2,2,3] => 1
[2,3,1,1] => 2
[2,3,2] => 0
[2,4,1] => 1
[2,5] => 1
[3,1,1,1,1] => 1
[3,1,1,2] => 1
[3,1,2,1] => 2
[3,1,3] => 0
[3,2,1,1] => 2
[3,2,2] => 1
[3,3,1] => 1
[3,4] => 1
[4,1,1,1] => 1
[4,1,2] => 1
[4,2,1] => 1
[4,3] => 1
[5,1,1] => 1
[5,2] => 1
[6,1] => 1
[7] => 0
[1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,2] => 1
[1,1,1,1,1,2,1] => 1
[1,1,1,1,1,3] => 1
[1,1,1,1,2,1,1] => 1
[1,1,1,1,2,2] => 2
[1,1,1,1,3,1] => 1
[1,1,1,1,4] => 1
[1,1,1,2,1,1,1] => 0
[1,1,1,2,1,2] => 2
[1,1,1,2,2,1] => 2
[1,1,1,2,3] => 2
[1,1,1,3,1,1] => 1
[1,1,1,3,2] => 2
[1,1,1,4,1] => 1
[1,1,1,5] => 1
[1,1,2,1,1,1,1] => 1
[1,1,2,1,1,2] => 2
[1,1,2,1,2,1] => 2
[1,1,2,1,3] => 1
[1,1,2,2,1,1] => 0
[1,1,2,2,2] => 2
[1,1,2,3,1] => 1
[1,1,2,4] => 2
[1,1,3,1,1,1] => 1
[1,1,3,1,2] => 1
[1,1,3,2,1] => 1
[1,1,3,3] => 2
[1,1,4,1,1] => 0
[1,1,4,2] => 2
[1,1,5,1] => 1
[1,1,6] => 1
[1,2,1,1,1,1,1] => 1
[1,2,1,1,1,2] => 2
[1,2,1,1,2,1] => 0
[1,2,1,1,3] => 2
[1,2,1,2,1,1] => 2
[1,2,1,2,2] => 1
[1,2,1,3,1] => 1
[1,2,1,4] => 2
[1,2,2,1,1,1] => 2
[1,2,2,1,2] => 2
[1,2,2,2,1] => 0
[1,2,2,3] => 1
[1,2,3,1,1] => 1
[1,2,3,2] => 2
[1,2,4,1] => 1
[1,2,5] => 1
[1,3,1,1,1,1] => 1
[1,3,1,1,2] => 2
[1,3,1,2,1] => 1
[1,3,1,3] => 2
[1,3,2,1,1] => 1
[1,3,2,2] => 2
[1,3,3,1] => 0
[1,3,4] => 1
[1,4,1,1,1] => 1
[1,4,1,2] => 2
[1,4,2,1] => 1
[1,4,3] => 1
[1,5,1,1] => 1
[1,5,2] => 1
[1,6,1] => 0
[1,7] => 1
[2,1,1,1,1,1,1] => 1
[2,1,1,1,1,2] => 0
[2,1,1,1,2,1] => 2
[2,1,1,1,3] => 1
[2,1,1,2,1,1] => 2
[2,1,1,2,2] => 1
[2,1,1,3,1] => 2
[2,1,1,4] => 1
[2,1,2,1,1,1] => 2
[2,1,2,1,2] => 0
[2,1,2,2,1] => 2
[2,1,2,3] => 2
[2,1,3,1,1] => 1
[2,1,3,2] => 1
[2,1,4,1] => 2
[2,1,5] => 1
[2,2,1,1,1,1] => 2
[2,2,1,1,2] => 1
[2,2,1,2,1] => 1
[2,2,1,3] => 2
[2,2,2,1,1] => 2
[2,2,2,2] => 0
[2,2,3,1] => 2
[2,2,4] => 1
[2,3,1,1,1] => 2
[2,3,1,2] => 1
[2,3,2,1] => 2
[2,3,3] => 1
[2,4,1,1] => 2
[2,4,2] => 0
[2,5,1] => 1
[2,6] => 1
[3,1,1,1,1,1] => 1
[3,1,1,1,2] => 1
[3,1,1,2,1] => 2
[3,1,1,3] => 0
[3,1,2,1,1] => 1
[3,1,2,2] => 2
[3,1,3,1] => 2
[3,1,4] => 1
[3,2,1,1,1] => 2
[3,2,1,2] => 2
[3,2,2,1] => 1
[3,2,3] => 0
[3,3,1,1] => 2
[3,3,2] => 1
[3,4,1] => 1
[3,5] => 1
[4,1,1,1,1] => 1
[4,1,1,2] => 1
[4,1,2,1] => 2
[4,1,3] => 1
[4,2,1,1] => 2
[4,2,2] => 1
[4,3,1] => 1
[4,4] => 0
[5,1,1,1] => 1
[5,1,2] => 1
[5,2,1] => 1
[5,3] => 1
[6,1,1] => 1
[6,2] => 1
[7,1] => 1
[8] => 0
[1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,2] => 1
[1,1,1,1,1,1,2,1] => 1
[1,1,1,1,1,1,3] => 1
[1,1,1,1,1,2,1,1] => 1
[1,1,1,1,1,2,2] => 2
[1,1,1,1,1,3,1] => 1
[1,1,1,1,1,4] => 1
[1,1,1,1,2,1,1,1] => 1
[1,1,1,1,2,1,2] => 2
[1,1,1,1,2,2,1] => 2
[1,1,1,1,2,3] => 2
[1,1,1,1,3,1,1] => 1
[1,1,1,1,3,2] => 2
[1,1,1,1,4,1] => 1
[1,1,1,1,5] => 1
[1,1,1,2,1,1,1,1] => 1
[1,1,1,2,1,1,2] => 1
[1,1,1,2,1,2,1] => 1
[1,1,1,2,1,3] => 2
[1,1,1,2,2,1,1] => 1
[1,1,1,2,2,2] => 3
[1,1,1,2,3,1] => 2
[1,1,1,2,4] => 2
[1,1,1,3,1,1,1] => 0
[1,1,1,3,1,2] => 2
[1,1,1,3,2,1] => 2
[1,1,1,3,3] => 2
[1,1,1,4,1,1] => 1
[1,1,1,4,2] => 2
[1,1,1,5,1] => 1
[1,1,1,6] => 1
[1,1,2,1,1,1,1,1] => 1
[1,1,2,1,1,1,2] => 2
[1,1,2,1,1,2,1] => 2
[1,1,2,1,1,3] => 2
[1,1,2,1,2,1,1] => 0
[1,1,2,1,2,2] => 3
[1,1,2,1,3,1] => 2
[1,1,2,1,4] => 1
[1,1,2,2,1,1,1] => 1
[1,1,2,2,1,2] => 1
[1,1,2,2,2,1] => 1
[1,1,2,2,3] => 2
[1,1,2,3,1,1] => 1
[1,1,2,3,2] => 2
[1,1,2,4,1] => 1
[1,1,2,5] => 2
[1,1,3,1,1,1,1] => 1
[1,1,3,1,1,2] => 2
[1,1,3,1,2,1] => 2
[1,1,3,1,3] => 1
[1,1,3,2,1,1] => 1
[1,1,3,2,2] => 2
[1,1,3,3,1] => 1
[1,1,3,4] => 2
[1,1,4,1,1,1] => 1
[1,1,4,1,2] => 1
[1,1,4,2,1] => 1
[1,1,4,3] => 2
[1,1,5,1,1] => 0
[1,1,5,2] => 2
[1,1,6,1] => 1
[1,1,7] => 1
[1,2,1,1,1,1,1,1] => 1
[1,2,1,1,1,1,2] => 2
[1,2,1,1,1,2,1] => 0
[1,2,1,1,1,3] => 2
[1,2,1,1,2,1,1] => 2
[1,2,1,1,2,2] => 1
[1,2,1,1,3,1] => 1
[1,2,1,1,4] => 2
[1,2,1,2,1,1,1] => 1
[1,2,1,2,1,2] => 3
[1,2,1,2,2,1] => 1
[1,2,1,2,3] => 1
[1,2,1,3,1,1] => 2
[1,2,1,3,2] => 2
[1,2,1,4,1] => 1
[1,2,1,5] => 2
[1,2,2,1,1,1,1] => 2
[1,2,2,1,1,2] => 3
[1,2,2,1,2,1] => 1
[1,2,2,1,3] => 2
[1,2,2,2,1,1] => 1
[1,2,2,2,2] => 1
[1,2,2,3,1] => 1
[1,2,2,4] => 1
[1,2,3,1,1,1] => 2
[1,2,3,1,2] => 2
[1,2,3,2,1] => 0
[1,2,3,3] => 2
[1,2,4,1,1] => 1
[1,2,4,2] => 2
[1,2,5,1] => 1
[1,2,6] => 1
[1,3,1,1,1,1,1] => 1
[1,3,1,1,1,2] => 2
[1,3,1,1,2,1] => 1
[1,3,1,1,3] => 2
[1,3,1,2,1,1] => 2
[1,3,1,2,2] => 2
[1,3,1,3,1] => 0
[1,3,1,4] => 2
[1,3,2,1,1,1] => 2
[1,3,2,1,2] => 2
[1,3,2,2,1] => 1
[1,3,2,3] => 2
[1,3,3,1,1] => 1
[1,3,3,2] => 1
[1,3,4,1] => 1
[1,3,5] => 1
[1,4,1,1,1,1] => 1
[1,4,1,1,2] => 2
[1,4,1,2,1] => 1
[1,4,1,3] => 2
[1,4,2,1,1] => 1
[1,4,2,2] => 2
[1,4,3,1] => 1
[1,4,4] => 1
[1,5,1,1,1] => 1
[1,5,1,2] => 2
[1,5,2,1] => 1
[1,5,3] => 1
[1,6,1,1] => 1
[1,6,2] => 1
[1,7,1] => 0
[1,8] => 1
[2,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,2] => 0
[2,1,1,1,1,2,1] => 2
[2,1,1,1,1,3] => 1
[2,1,1,1,2,1,1] => 2
[2,1,1,1,2,2] => 1
[2,1,1,1,3,1] => 2
[2,1,1,1,4] => 1
[2,1,1,2,1,1,1] => 1
[2,1,1,2,1,2] => 1
[2,1,1,2,2,1] => 3
[2,1,1,2,3] => 2
[2,1,1,3,1,1] => 2
[2,1,1,3,2] => 1
[2,1,1,4,1] => 2
[2,1,1,5] => 1
[2,1,2,1,1,1,1] => 2
[2,1,2,1,1,2] => 1
[2,1,2,1,2,1] => 3
[2,1,2,1,3] => 1
[2,1,2,2,1,1] => 1
[2,1,2,2,2] => 1
[2,1,2,3,1] => 2
[2,1,2,4] => 2
[2,1,3,1,1,1] => 2
[2,1,3,1,2] => 0
[2,1,3,2,1] => 2
[2,1,3,3] => 2
[2,1,4,1,1] => 1
[2,1,4,2] => 1
[2,1,5,1] => 2
[2,1,6] => 1
[2,2,1,1,1,1,1] => 2
[2,2,1,1,1,2] => 1
[2,2,1,1,2,1] => 1
[2,2,1,1,3] => 2
[2,2,1,2,1,1] => 3
[2,2,1,2,2] => 0
[2,2,1,3,1] => 2
[2,2,1,4] => 2
[2,2,2,1,1,1] => 3
[2,2,2,1,2] => 1
[2,2,2,2,1] => 1
[2,2,2,3] => 1
[2,2,3,1,1] => 2
[2,2,3,2] => 1
[2,2,4,1] => 2
[2,2,5] => 1
[2,3,1,1,1,1] => 2
[2,3,1,1,2] => 1
[2,3,1,2,1] => 2
[2,3,1,3] => 2
[2,3,2,1,1] => 2
[2,3,2,2] => 1
[2,3,3,1] => 1
[2,3,4] => 1
[2,4,1,1,1] => 2
[2,4,1,2] => 1
[2,4,2,1] => 2
[2,4,3] => 1
[2,5,1,1] => 2
[2,5,2] => 0
[2,6,1] => 1
[2,7] => 1
[3,1,1,1,1,1,1] => 1
[3,1,1,1,1,2] => 1
[3,1,1,1,2,1] => 2
[3,1,1,1,3] => 0
[3,1,1,2,1,1] => 2
[3,1,1,2,2] => 2
[3,1,1,3,1] => 2
[3,1,1,4] => 1
[3,1,2,1,1,1] => 2
[3,1,2,1,2] => 1
[3,1,2,2,1] => 2
[3,1,2,3] => 1
[3,1,3,1,1] => 1
[3,1,3,2] => 2
[3,1,4,1] => 2
[3,1,5] => 1
[3,2,1,1,1,1] => 2
[3,2,1,1,2] => 2
[3,2,1,2,1] => 1
[3,2,1,3] => 1
[3,2,2,1,1] => 2
[3,2,2,2] => 1
[3,2,3,1] => 2
[3,2,4] => 1
[3,3,1,1,1] => 2
[3,3,1,2] => 2
[3,3,2,1] => 2
[3,3,3] => 0
[3,4,1,1] => 2
[3,4,2] => 1
[3,5,1] => 1
[3,6] => 1
[4,1,1,1,1,1] => 1
[4,1,1,1,2] => 1
[4,1,1,2,1] => 2
[4,1,1,3] => 1
[4,1,2,1,1] => 1
[4,1,2,2] => 2
[4,1,3,1] => 2
[4,1,4] => 0
[4,2,1,1,1] => 2
[4,2,1,2] => 2
[4,2,2,1] => 1
[4,2,3] => 1
[4,3,1,1] => 2
[4,3,2] => 1
[4,4,1] => 1
[4,5] => 1
[5,1,1,1,1] => 1
[5,1,1,2] => 1
[5,1,2,1] => 2
[5,1,3] => 1
[5,2,1,1] => 2
[5,2,2] => 1
[5,3,1] => 1
[5,4] => 1
[6,1,1,1] => 1
[6,1,2] => 1
[6,2,1] => 1
[6,3] => 1
[7,1,1] => 1
[7,2] => 1
[8,1] => 1
[9] => 0
[1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,2] => 1
[1,1,1,1,1,1,1,2,1] => 1
[1,1,1,1,1,1,1,3] => 1
[1,1,1,1,1,1,2,1,1] => 1
[1,1,1,1,1,1,2,2] => 2
[1,1,1,1,1,1,3,1] => 1
[1,1,1,1,1,1,4] => 1
[1,1,1,1,1,2,1,1,1] => 1
[1,1,1,1,1,2,1,2] => 2
[1,1,1,1,1,2,2,1] => 2
[1,1,1,1,1,2,3] => 2
[1,1,1,1,1,3,1,1] => 1
[1,1,1,1,1,3,2] => 2
[1,1,1,1,1,4,1] => 1
[1,1,1,1,1,5] => 1
[1,1,1,1,2,1,1,1,1] => 0
[1,1,1,1,2,1,1,2] => 2
[1,1,1,1,2,1,2,1] => 2
[1,1,1,1,2,1,3] => 2
[1,1,1,1,2,2,1,1] => 2
[1,1,1,1,2,2,2] => 3
[1,1,1,1,2,3,1] => 2
[1,1,1,1,2,4] => 2
[1,1,1,1,3,1,1,1] => 1
[1,1,1,1,3,1,2] => 2
[1,1,1,1,3,2,1] => 2
[1,1,1,1,3,3] => 2
[1,1,1,1,4,1,1] => 1
[1,1,1,1,4,2] => 2
[1,1,1,1,5,1] => 1
[1,1,1,1,6] => 1
[1,1,1,2,1,1,1,1,1] => 1
[1,1,1,2,1,1,1,2] => 2
[1,1,1,2,1,1,2,1] => 2
[1,1,1,2,1,1,3] => 1
[1,1,1,2,1,2,1,1] => 2
[1,1,1,2,1,2,2] => 2
[1,1,1,2,1,3,1] => 1
[1,1,1,2,1,4] => 2
[1,1,1,2,2,1,1,1] => 0
[1,1,1,2,2,1,2] => 2
[1,1,1,2,2,2,1] => 2
[1,1,1,2,2,3] => 3
[1,1,1,2,3,1,1] => 1
[1,1,1,2,3,2] => 3
[1,1,1,2,4,1] => 2
[1,1,1,2,5] => 2
[1,1,1,3,1,1,1,1] => 1
[1,1,1,3,1,1,2] => 1
[1,1,1,3,1,2,1] => 1
[1,1,1,3,1,3] => 2
[1,1,1,3,2,1,1] => 1
[1,1,1,3,2,2] => 3
[1,1,1,3,3,1] => 2
[1,1,1,3,4] => 2
[1,1,1,4,1,1,1] => 0
[1,1,1,4,1,2] => 2
[1,1,1,4,2,1] => 2
[1,1,1,4,3] => 2
[1,1,1,5,1,1] => 1
[1,1,1,5,2] => 2
[1,1,1,6,1] => 1
[1,1,1,7] => 1
[1,1,2,1,1,1,1,1,1] => 1
[1,1,2,1,1,1,1,2] => 2
[1,1,2,1,1,1,2,1] => 2
[1,1,2,1,1,1,3] => 2
[1,1,2,1,1,2,1,1] => 0
[1,1,2,1,1,2,2] => 3
[1,1,2,1,1,3,1] => 2
[1,1,2,1,1,4] => 2
[1,1,2,1,2,1,1,1] => 2
[1,1,2,1,2,1,2] => 1
[1,1,2,1,2,2,1] => 1
[1,1,2,1,2,3] => 3
[1,1,2,1,3,1,1] => 1
[1,1,2,1,3,2] => 3
[1,1,2,1,4,1] => 2
[1,1,2,1,5] => 1
[1,1,2,2,1,1,1,1] => 2
[1,1,2,2,1,1,2] => 2
[1,1,2,2,1,2,1] => 2
[1,1,2,2,1,3] => 1
[1,1,2,2,2,1,1] => 0
[1,1,2,2,2,2] => 2
[1,1,2,2,3,1] => 1
[1,1,2,2,4] => 2
[1,1,2,3,1,1,1] => 1
[1,1,2,3,1,2] => 2
[1,1,2,3,2,1] => 2
[1,1,2,3,3] => 2
[1,1,2,4,1,1] => 1
[1,1,2,4,2] => 2
[1,1,2,5,1] => 1
[1,1,2,6] => 2
[1,1,3,1,1,1,1,1] => 1
[1,1,3,1,1,1,2] => 2
[1,1,3,1,1,2,1] => 2
[1,1,3,1,1,3] => 2
[1,1,3,1,2,1,1] => 1
[1,1,3,1,2,2] => 3
[1,1,3,1,3,1] => 2
[1,1,3,1,4] => 1
[1,1,3,2,1,1,1] => 1
[1,1,3,2,1,2] => 2
[1,1,3,2,2,1] => 2
[1,1,3,2,3] => 2
[1,1,3,3,1,1] => 0
[1,1,3,3,2] => 2
[1,1,3,4,1] => 1
[1,1,3,5] => 2
[1,1,4,1,1,1,1] => 1
[1,1,4,1,1,2] => 2
[1,1,4,1,2,1] => 2
[1,1,4,1,3] => 1
[1,1,4,2,1,1] => 1
[1,1,4,2,2] => 2
[1,1,4,3,1] => 1
[1,1,4,4] => 2
[1,1,5,1,1,1] => 1
[1,1,5,1,2] => 1
[1,1,5,2,1] => 1
[1,1,5,3] => 2
[1,1,6,1,1] => 0
[1,1,6,2] => 2
[1,1,7,1] => 1
[1,1,8] => 1
[1,2,1,1,1,1,1,1,1] => 1
[1,2,1,1,1,1,1,2] => 2
[1,2,1,1,1,1,2,1] => 0
[1,2,1,1,1,1,3] => 2
[1,2,1,1,1,2,1,1] => 2
[1,2,1,1,1,2,2] => 1
[1,2,1,1,1,3,1] => 1
[1,2,1,1,1,4] => 2
[1,2,1,1,2,1,1,1] => 2
[1,2,1,1,2,1,2] => 3
[1,2,1,1,2,2,1] => 1
[1,2,1,1,2,3] => 1
[1,2,1,1,3,1,1] => 2
[1,2,1,1,3,2] => 2
[1,2,1,1,4,1] => 1
[1,2,1,1,5] => 2
[1,2,1,2,1,1,1,1] => 2
[1,2,1,2,1,1,2] => 2
[1,2,1,2,1,2,1] => 0
[1,2,1,2,1,3] => 3
[1,2,1,2,2,1,1] => 2
[1,2,1,2,2,2] => 2
[1,2,1,2,3,1] => 2
[1,2,1,2,4] => 1
[1,2,1,3,1,1,1] => 1
[1,2,1,3,1,2] => 3
[1,2,1,3,2,1] => 1
[1,2,1,3,3] => 2
[1,2,1,4,1,1] => 2
[1,2,1,4,2] => 2
[1,2,1,5,1] => 1
[1,2,1,6] => 2
[1,2,2,1,1,1,1,1] => 2
[1,2,2,1,1,1,2] => 3
[1,2,2,1,1,2,1] => 1
[1,2,2,1,1,3] => 3
[1,2,2,1,2,1,1] => 1
[1,2,2,1,2,2] => 2
[1,2,2,1,3,1] => 2
[1,2,2,1,4] => 2
[1,2,2,2,1,1,1] => 2
[1,2,2,2,1,2] => 2
[1,2,2,2,2,1] => 0
[1,2,2,2,3] => 1
[1,2,2,3,1,1] => 2
[1,2,2,3,2] => 2
[1,2,2,4,1] => 1
[1,2,2,5] => 1
[1,2,3,1,1,1,1] => 2
[1,2,3,1,1,2] => 3
[1,2,3,1,2,1] => 1
[1,2,3,1,3] => 2
[1,2,3,2,1,1] => 2
[1,2,3,2,2] => 1
[1,2,3,3,1] => 1
[1,2,3,4] => 2
[1,2,4,1,1,1] => 2
[1,2,4,1,2] => 2
[1,2,4,2,1] => 0
[1,2,4,3] => 2
[1,2,5,1,1] => 1
[1,2,5,2] => 2
[1,2,6,1] => 1
[1,2,7] => 1
[1,3,1,1,1,1,1,1] => 1
[1,3,1,1,1,1,2] => 2
[1,3,1,1,1,2,1] => 1
[1,3,1,1,1,3] => 2
[1,3,1,1,2,1,1] => 2
[1,3,1,1,2,2] => 2
[1,3,1,1,3,1] => 0
[1,3,1,1,4] => 2
[1,3,1,2,1,1,1] => 1
[1,3,1,2,1,2] => 3
[1,3,1,2,2,1] => 2
[1,3,1,2,3] => 2
[1,3,1,3,1,1] => 2
[1,3,1,3,2] => 1
[1,3,1,4,1] => 1
[1,3,1,5] => 2
[1,3,2,1,1,1,1] => 2
[1,3,2,1,1,2] => 3
[1,3,2,1,2,1] => 2
[1,3,2,1,3] => 2
[1,3,2,2,1,1] => 1
[1,3,2,2,2] => 2
[1,3,2,3,1] => 0
[1,3,2,4] => 2
[1,3,3,1,1,1] => 2
[1,3,3,1,2] => 2
[1,3,3,2,1] => 1
[1,3,3,3] => 1
[1,3,4,1,1] => 1
[1,3,4,2] => 2
[1,3,5,1] => 1
[1,3,6] => 1
[1,4,1,1,1,1,1] => 1
[1,4,1,1,1,2] => 2
[1,4,1,1,2,1] => 1
[1,4,1,1,3] => 2
[1,4,1,2,1,1] => 2
[1,4,1,2,2] => 2
[1,4,1,3,1] => 1
[1,4,1,4] => 2
[1,4,2,1,1,1] => 2
[1,4,2,1,2] => 2
[1,4,2,2,1] => 1
[1,4,2,3] => 2
[1,4,3,1,1] => 1
[1,4,3,2] => 2
[1,4,4,1] => 0
[1,4,5] => 1
[1,5,1,1,1,1] => 1
[1,5,1,1,2] => 2
[1,5,1,2,1] => 1
[1,5,1,3] => 2
[1,5,2,1,1] => 1
[1,5,2,2] => 2
[1,5,3,1] => 1
[1,5,4] => 1
[1,6,1,1,1] => 1
[1,6,1,2] => 2
[1,6,2,1] => 1
[1,6,3] => 1
[1,7,1,1] => 1
[1,7,2] => 1
[1,8,1] => 0
[1,9] => 1
[2,1,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,2] => 0
[2,1,1,1,1,1,2,1] => 2
[2,1,1,1,1,1,3] => 1
[2,1,1,1,1,2,1,1] => 2
[2,1,1,1,1,2,2] => 1
[2,1,1,1,1,3,1] => 2
[2,1,1,1,1,4] => 1
[2,1,1,1,2,1,1,1] => 2
[2,1,1,1,2,1,2] => 1
[2,1,1,1,2,2,1] => 3
[2,1,1,1,2,3] => 2
[2,1,1,1,3,1,1] => 2
[2,1,1,1,3,2] => 1
[2,1,1,1,4,1] => 2
[2,1,1,1,5] => 1
[2,1,1,2,1,1,1,1] => 2
[2,1,1,2,1,1,2] => 0
[2,1,1,2,1,2,1] => 2
[2,1,1,2,1,3] => 2
[2,1,1,2,2,1,1] => 2
[2,1,1,2,2,2] => 2
[2,1,1,2,3,1] => 3
[2,1,1,2,4] => 2
[2,1,1,3,1,1,1] => 1
[2,1,1,3,1,2] => 1
[2,1,1,3,2,1] => 3
[2,1,1,3,3] => 2
[2,1,1,4,1,1] => 2
[2,1,1,4,2] => 1
[2,1,1,5,1] => 2
[2,1,1,6] => 1
[2,1,2,1,1,1,1,1] => 2
[2,1,2,1,1,1,2] => 1
[2,1,2,1,1,2,1] => 3
[2,1,2,1,1,3] => 2
[2,1,2,1,2,1,1] => 1
[2,1,2,1,2,2] => 2
[2,1,2,1,3,1] => 3
[2,1,2,1,4] => 1
[2,1,2,2,1,1,1] => 2
[2,1,2,2,1,2] => 0
[2,1,2,2,2,1] => 2
[2,1,2,2,3] => 2
[2,1,2,3,1,1] => 2
[2,1,2,3,2] => 1
[2,1,2,4,1] => 2
[2,1,2,5] => 2
[2,1,3,1,1,1,1] => 2
[2,1,3,1,1,2] => 1
[2,1,3,1,2,1] => 3
[2,1,3,1,3] => 1
[2,1,3,2,1,1] => 2
[2,1,3,2,2] => 1
[2,1,3,3,1] => 2
[2,1,3,4] => 2
[2,1,4,1,1,1] => 2
[2,1,4,1,2] => 0
[2,1,4,2,1] => 2
[2,1,4,3] => 2
[2,1,5,1,1] => 1
[2,1,5,2] => 1
[2,1,6,1] => 2
[2,1,7] => 1
[2,2,1,1,1,1,1,1] => 2
[2,2,1,1,1,1,2] => 1
[2,2,1,1,1,2,1] => 1
[2,2,1,1,1,3] => 2
[2,2,1,1,2,1,1] => 3
[2,2,1,1,2,2] => 0
[2,2,1,1,3,1] => 2
[2,2,1,1,4] => 2
[2,2,1,2,1,1,1] => 2
[2,2,1,2,1,2] => 2
[2,2,1,2,2,1] => 2
[2,2,1,2,3] => 1
[2,2,1,3,1,1] => 3
[2,2,1,3,2] => 1
[2,2,1,4,1] => 2
[2,2,1,5] => 2
[2,2,2,1,1,1,1] => 3
[2,2,2,1,1,2] => 2
[2,2,2,1,2,1] => 2
[2,2,2,1,3] => 2
[2,2,2,2,1,1] => 2
[2,2,2,2,2] => 0
[2,2,2,3,1] => 2
[2,2,2,4] => 1
[2,2,3,1,1,1] => 3
[2,2,3,1,2] => 1
[2,2,3,2,1] => 1
[2,2,3,3] => 2
[2,2,4,1,1] => 2
[2,2,4,2] => 1
[2,2,5,1] => 2
[2,2,6] => 1
[2,3,1,1,1,1,1] => 2
[2,3,1,1,1,2] => 1
[2,3,1,1,2,1] => 2
[2,3,1,1,3] => 2
[2,3,1,2,1,1] => 3
[2,3,1,2,2] => 1
[2,3,1,3,1] => 1
[2,3,1,4] => 2
[2,3,2,1,1,1] => 3
[2,3,2,1,2] => 1
[2,3,2,2,1] => 2
[2,3,2,3] => 2
[2,3,3,1,1] => 2
[2,3,3,2] => 0
[2,3,4,1] => 2
[2,3,5] => 1
[2,4,1,1,1,1] => 2
[2,4,1,1,2] => 1
[2,4,1,2,1] => 2
[2,4,1,3] => 2
[2,4,2,1,1] => 2
[2,4,2,2] => 1
[2,4,3,1] => 2
[2,4,4] => 1
[2,5,1,1,1] => 2
[2,5,1,2] => 1
[2,5,2,1] => 2
[2,5,3] => 1
[2,6,1,1] => 2
[2,6,2] => 0
[2,7,1] => 1
[2,8] => 1
[3,1,1,1,1,1,1,1] => 1
[3,1,1,1,1,1,2] => 1
[3,1,1,1,1,2,1] => 2
[3,1,1,1,1,3] => 0
[3,1,1,1,2,1,1] => 2
[3,1,1,1,2,2] => 2
[3,1,1,1,3,1] => 2
[3,1,1,1,4] => 1
[3,1,1,2,1,1,1] => 1
[3,1,1,2,1,2] => 2
[3,1,1,2,2,1] => 3
[3,1,1,2,3] => 1
[3,1,1,3,1,1] => 2
[3,1,1,3,2] => 2
[3,1,1,4,1] => 2
[3,1,1,5] => 1
[3,1,2,1,1,1,1] => 2
[3,1,2,1,1,2] => 2
[3,1,2,1,2,1] => 3
[3,1,2,1,3] => 0
[3,1,2,2,1,1] => 1
[3,1,2,2,2] => 2
[3,1,2,3,1] => 2
[3,1,2,4] => 2
[3,1,3,1,1,1] => 2
[3,1,3,1,2] => 1
[3,1,3,2,1] => 2
[3,1,3,3] => 1
[3,1,4,1,1] => 1
[3,1,4,2] => 2
[3,1,5,1] => 2
[3,1,6] => 1
[3,2,1,1,1,1,1] => 2
[3,2,1,1,1,2] => 2
[3,2,1,1,2,1] => 1
[3,2,1,1,3] => 1
[3,2,1,2,1,1] => 3
[3,2,1,2,2] => 1
[3,2,1,3,1] => 2
[3,2,1,4] => 2
[3,2,2,1,1,1] => 3
[3,2,2,1,2] => 2
[3,2,2,2,1] => 1
[3,2,2,3] => 0
[3,2,3,1,1] => 2
[3,2,3,2] => 2
[3,2,4,1] => 2
[3,2,5] => 1
[3,3,1,1,1,1] => 2
[3,3,1,1,2] => 2
[3,3,1,2,1] => 2
[3,3,1,3] => 1
[3,3,2,1,1] => 2
[3,3,2,2] => 2
[3,3,3,1] => 1
[3,3,4] => 1
[3,4,1,1,1] => 2
[3,4,1,2] => 2
[3,4,2,1] => 2
[3,4,3] => 0
[3,5,1,1] => 2
[3,5,2] => 1
[3,6,1] => 1
[3,7] => 1
[4,1,1,1,1,1,1] => 1
[4,1,1,1,1,2] => 1
[4,1,1,1,2,1] => 2
[4,1,1,1,3] => 1
[4,1,1,2,1,1] => 2
[4,1,1,2,2] => 2
[4,1,1,3,1] => 2
[4,1,1,4] => 0
[4,1,2,1,1,1] => 2
[4,1,2,1,2] => 1
[4,1,2,2,1] => 2
[4,1,2,3] => 2
[4,1,3,1,1] => 1
[4,1,3,2] => 2
[4,1,4,1] => 2
[4,1,5] => 1
[4,2,1,1,1,1] => 2
[4,2,1,1,2] => 2
[4,2,1,2,1] => 1
[4,2,1,3] => 2
[4,2,2,1,1] => 2
[4,2,2,2] => 1
[4,2,3,1] => 2
[4,2,4] => 0
[4,3,1,1,1] => 2
[4,3,1,2] => 2
[4,3,2,1] => 2
[4,3,3] => 1
[4,4,1,1] => 2
[4,4,2] => 1
[4,5,1] => 1
[4,6] => 1
[5,1,1,1,1,1] => 1
[5,1,1,1,2] => 1
[5,1,1,2,1] => 2
[5,1,1,3] => 1
[5,1,2,1,1] => 1
[5,1,2,2] => 2
[5,1,3,1] => 2
[5,1,4] => 1
[5,2,1,1,1] => 2
[5,2,1,2] => 2
[5,2,2,1] => 1
[5,2,3] => 1
[5,3,1,1] => 2
[5,3,2] => 1
[5,4,1] => 1
[5,5] => 0
[6,1,1,1,1] => 1
[6,1,1,2] => 1
[6,1,2,1] => 2
[6,1,3] => 1
[6,2,1,1] => 2
[6,2,2] => 1
[6,3,1] => 1
[6,4] => 1
[7,1,1,1] => 1
[7,1,2] => 1
[7,2,1] => 1
[7,3] => 1
[8,1,1] => 1
[8,2] => 1
[9,1] => 1
[10] => 0
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Description
The degree of asymmetry of an integer composition.
This is the number of pairs of symmetrically positioned distinct entries.
Code
def statistic(c):
    return (len(c)-sum(1 for i,j in zip(c, c[::-1]) if i == j))/2
Created
Feb 03, 2021 at 12:41 by Martin Rubey
Updated
Feb 03, 2021 at 12:41 by Martin Rubey