Identifier
Values
[1] => [1] => [1] => 10 => 1
[1,1] => [1,1] => [1,1] => 110 => 2
[1,2] => [1,2] => [2,1] => 1010 => 3
[2,1] => [2,1] => [2,1] => 1010 => 3
[1,1,1] => [1,1,1] => [1,1,1] => 1110 => 3
[1,1,2] => [1,1,2] => [2,1,1] => 10110 => 4
[1,2,1] => [1,2,1] => [2,1,1] => 10110 => 4
[2,1,1] => [2,1,1] => [2,1,1] => 10110 => 4
[1,1,3] => [1,1,3] => [3,1,1] => 100110 => 5
[1,3,1] => [1,3,1] => [3,1,1] => 100110 => 5
[3,1,1] => [3,1,1] => [3,1,1] => 100110 => 5
[1,2,2] => [1,2,2] => [2,2,1] => 11010 => 5
[2,1,2] => [2,1,2] => [2,2,1] => 11010 => 5
[2,2,1] => [2,2,1] => [2,2,1] => 11010 => 5
[1,2,3] => [1,2,3] => [3,2,1] => 101010 => 6
[1,3,2] => [1,3,2] => [3,2,1] => 101010 => 6
[2,1,3] => [2,1,3] => [3,2,1] => 101010 => 6
[2,3,1] => [2,3,1] => [3,2,1] => 101010 => 6
[3,1,2] => [3,1,2] => [3,2,1] => 101010 => 6
[3,2,1] => [3,2,1] => [3,2,1] => 101010 => 6
[1,1,1,1] => [1,1,1,1] => [1,1,1,1] => 11110 => 4
[1,1,1,2] => [1,1,1,2] => [2,1,1,1] => 101110 => 5
[1,1,2,1] => [1,1,2,1] => [2,1,1,1] => 101110 => 5
[1,2,1,1] => [1,2,1,1] => [2,1,1,1] => 101110 => 5
[2,1,1,1] => [2,1,1,1] => [2,1,1,1] => 101110 => 5
[1,1,1,3] => [1,1,1,3] => [3,1,1,1] => 1001110 => 6
[1,1,3,1] => [1,1,3,1] => [3,1,1,1] => 1001110 => 6
[1,3,1,1] => [1,3,1,1] => [3,1,1,1] => 1001110 => 6
[3,1,1,1] => [3,1,1,1] => [3,1,1,1] => 1001110 => 6
[1,1,1,4] => [1,1,1,4] => [4,1,1,1] => 10001110 => 7
[1,1,4,1] => [1,1,4,1] => [4,1,1,1] => 10001110 => 7
[1,4,1,1] => [1,4,1,1] => [4,1,1,1] => 10001110 => 7
[4,1,1,1] => [4,1,1,1] => [4,1,1,1] => 10001110 => 7
[1,1,2,2] => [1,1,2,2] => [2,2,1,1] => 110110 => 6
[1,2,1,2] => [1,2,1,2] => [2,2,1,1] => 110110 => 6
[1,2,2,1] => [1,2,2,1] => [2,2,1,1] => 110110 => 6
[2,1,1,2] => [2,1,1,2] => [2,2,1,1] => 110110 => 6
[2,1,2,1] => [2,1,2,1] => [2,2,1,1] => 110110 => 6
[2,2,1,1] => [2,2,1,1] => [2,2,1,1] => 110110 => 6
[1,1,2,3] => [1,1,2,3] => [3,2,1,1] => 1010110 => 7
[1,1,3,2] => [1,1,3,2] => [3,2,1,1] => 1010110 => 7
[1,2,1,3] => [1,2,1,3] => [3,2,1,1] => 1010110 => 7
[1,2,3,1] => [1,2,3,1] => [3,2,1,1] => 1010110 => 7
[1,3,1,2] => [1,3,1,2] => [3,2,1,1] => 1010110 => 7
[1,3,2,1] => [1,3,2,1] => [3,2,1,1] => 1010110 => 7
[2,1,1,3] => [2,1,1,3] => [3,2,1,1] => 1010110 => 7
[2,1,3,1] => [2,1,3,1] => [3,2,1,1] => 1010110 => 7
[2,3,1,1] => [2,3,1,1] => [3,2,1,1] => 1010110 => 7
[3,1,1,2] => [3,1,1,2] => [3,2,1,1] => 1010110 => 7
[3,1,2,1] => [3,1,2,1] => [3,2,1,1] => 1010110 => 7
[3,2,1,1] => [3,2,1,1] => [3,2,1,1] => 1010110 => 7
[1,1,2,4] => [1,1,2,4] => [4,2,1,1] => 10010110 => 8
[1,1,4,2] => [1,1,4,2] => [4,2,1,1] => 10010110 => 8
[1,2,1,4] => [1,2,1,4] => [4,2,1,1] => 10010110 => 8
[1,2,4,1] => [1,2,4,1] => [4,2,1,1] => 10010110 => 8
[1,4,1,2] => [1,4,1,2] => [4,2,1,1] => 10010110 => 8
[1,4,2,1] => [1,4,2,1] => [4,2,1,1] => 10010110 => 8
[2,1,1,4] => [2,1,1,4] => [4,2,1,1] => 10010110 => 8
[2,1,4,1] => [2,1,4,1] => [4,2,1,1] => 10010110 => 8
[2,4,1,1] => [2,4,1,1] => [4,2,1,1] => 10010110 => 8
[4,1,1,2] => [4,1,1,2] => [4,2,1,1] => 10010110 => 8
[4,1,2,1] => [4,1,2,1] => [4,2,1,1] => 10010110 => 8
[4,2,1,1] => [4,2,1,1] => [4,2,1,1] => 10010110 => 8
[1,1,3,3] => [1,1,3,3] => [3,3,1,1] => 1100110 => 8
[1,3,1,3] => [1,3,1,3] => [3,3,1,1] => 1100110 => 8
[1,3,3,1] => [1,3,3,1] => [3,3,1,1] => 1100110 => 8
[3,1,1,3] => [3,1,1,3] => [3,3,1,1] => 1100110 => 8
[3,1,3,1] => [3,1,3,1] => [3,3,1,1] => 1100110 => 8
[3,3,1,1] => [3,3,1,1] => [3,3,1,1] => 1100110 => 8
[1,1,3,4] => [1,1,3,4] => [4,3,1,1] => 10100110 => 9
[1,1,4,3] => [1,1,4,3] => [4,3,1,1] => 10100110 => 9
[1,3,1,4] => [1,3,1,4] => [4,3,1,1] => 10100110 => 9
[1,3,4,1] => [1,3,4,1] => [4,3,1,1] => 10100110 => 9
[1,4,1,3] => [1,4,1,3] => [4,3,1,1] => 10100110 => 9
[1,4,3,1] => [1,4,3,1] => [4,3,1,1] => 10100110 => 9
[3,1,1,4] => [3,1,1,4] => [4,3,1,1] => 10100110 => 9
[3,1,4,1] => [3,1,4,1] => [4,3,1,1] => 10100110 => 9
[3,4,1,1] => [3,4,1,1] => [4,3,1,1] => 10100110 => 9
[4,1,1,3] => [4,1,1,3] => [4,3,1,1] => 10100110 => 9
[4,1,3,1] => [4,1,3,1] => [4,3,1,1] => 10100110 => 9
[4,3,1,1] => [4,3,1,1] => [4,3,1,1] => 10100110 => 9
[1,2,2,2] => [1,2,2,2] => [2,2,2,1] => 111010 => 7
[2,1,2,2] => [2,1,2,2] => [2,2,2,1] => 111010 => 7
[2,2,1,2] => [2,2,1,2] => [2,2,2,1] => 111010 => 7
[2,2,2,1] => [2,2,2,1] => [2,2,2,1] => 111010 => 7
[1,2,2,3] => [1,2,2,3] => [3,2,2,1] => 1011010 => 8
[1,2,3,2] => [1,2,3,2] => [3,2,2,1] => 1011010 => 8
[1,3,2,2] => [1,3,2,2] => [3,2,2,1] => 1011010 => 8
[2,1,2,3] => [2,1,2,3] => [3,2,2,1] => 1011010 => 8
[2,1,3,2] => [2,1,3,2] => [3,2,2,1] => 1011010 => 8
[2,2,1,3] => [2,2,1,3] => [3,2,2,1] => 1011010 => 8
[2,2,3,1] => [2,2,3,1] => [3,2,2,1] => 1011010 => 8
[2,3,1,2] => [2,3,1,2] => [3,2,2,1] => 1011010 => 8
[2,3,2,1] => [2,3,2,1] => [3,2,2,1] => 1011010 => 8
[3,1,2,2] => [3,1,2,2] => [3,2,2,1] => 1011010 => 8
[3,2,1,2] => [3,2,1,2] => [3,2,2,1] => 1011010 => 8
[3,2,2,1] => [3,2,2,1] => [3,2,2,1] => 1011010 => 8
[1,2,2,4] => [1,2,2,4] => [4,2,2,1] => 10011010 => 9
[1,2,4,2] => [1,2,4,2] => [4,2,2,1] => 10011010 => 9
[1,4,2,2] => [1,4,2,2] => [4,2,2,1] => 10011010 => 9
[2,1,2,4] => [2,1,2,4] => [4,2,2,1] => 10011010 => 9
>>> Load all 777 entries. <<<
[2,1,4,2] => [2,1,4,2] => [4,2,2,1] => 10011010 => 9
[2,2,1,4] => [2,2,1,4] => [4,2,2,1] => 10011010 => 9
[2,2,4,1] => [2,2,4,1] => [4,2,2,1] => 10011010 => 9
[2,4,1,2] => [2,4,1,2] => [4,2,2,1] => 10011010 => 9
[2,4,2,1] => [2,4,2,1] => [4,2,2,1] => 10011010 => 9
[4,1,2,2] => [4,1,2,2] => [4,2,2,1] => 10011010 => 9
[4,2,1,2] => [4,2,1,2] => [4,2,2,1] => 10011010 => 9
[4,2,2,1] => [4,2,2,1] => [4,2,2,1] => 10011010 => 9
[1,2,3,3] => [1,2,3,3] => [3,3,2,1] => 1101010 => 9
[1,3,2,3] => [1,3,2,3] => [3,3,2,1] => 1101010 => 9
[1,3,3,2] => [1,3,3,2] => [3,3,2,1] => 1101010 => 9
[2,1,3,3] => [2,1,3,3] => [3,3,2,1] => 1101010 => 9
[2,3,1,3] => [2,3,1,3] => [3,3,2,1] => 1101010 => 9
[2,3,3,1] => [2,3,3,1] => [3,3,2,1] => 1101010 => 9
[3,1,2,3] => [3,1,2,3] => [3,3,2,1] => 1101010 => 9
[3,1,3,2] => [3,1,3,2] => [3,3,2,1] => 1101010 => 9
[3,2,1,3] => [3,2,1,3] => [3,3,2,1] => 1101010 => 9
[3,2,3,1] => [3,2,3,1] => [3,3,2,1] => 1101010 => 9
[3,3,1,2] => [3,3,1,2] => [3,3,2,1] => 1101010 => 9
[3,3,2,1] => [3,3,2,1] => [3,3,2,1] => 1101010 => 9
[1,2,3,4] => [1,2,3,4] => [4,3,2,1] => 10101010 => 10
[1,2,4,3] => [1,2,4,3] => [4,3,2,1] => 10101010 => 10
[1,3,2,4] => [1,3,2,4] => [4,3,2,1] => 10101010 => 10
[1,3,4,2] => [1,3,4,2] => [4,3,2,1] => 10101010 => 10
[1,4,2,3] => [1,4,2,3] => [4,3,2,1] => 10101010 => 10
[1,4,3,2] => [1,4,3,2] => [4,3,2,1] => 10101010 => 10
[2,1,3,4] => [2,1,3,4] => [4,3,2,1] => 10101010 => 10
[2,1,4,3] => [2,1,4,3] => [4,3,2,1] => 10101010 => 10
[2,3,1,4] => [2,3,1,4] => [4,3,2,1] => 10101010 => 10
[2,3,4,1] => [2,3,4,1] => [4,3,2,1] => 10101010 => 10
[2,4,1,3] => [2,4,1,3] => [4,3,2,1] => 10101010 => 10
[2,4,3,1] => [2,4,3,1] => [4,3,2,1] => 10101010 => 10
[3,1,2,4] => [3,1,2,4] => [4,3,2,1] => 10101010 => 10
[3,1,4,2] => [3,1,4,2] => [4,3,2,1] => 10101010 => 10
[3,2,1,4] => [3,2,1,4] => [4,3,2,1] => 10101010 => 10
[3,2,4,1] => [3,2,4,1] => [4,3,2,1] => 10101010 => 10
[3,4,1,2] => [3,4,1,2] => [4,3,2,1] => 10101010 => 10
[3,4,2,1] => [3,4,2,1] => [4,3,2,1] => 10101010 => 10
[4,1,2,3] => [4,1,2,3] => [4,3,2,1] => 10101010 => 10
[4,1,3,2] => [4,1,3,2] => [4,3,2,1] => 10101010 => 10
[4,2,1,3] => [4,2,1,3] => [4,3,2,1] => 10101010 => 10
[4,2,3,1] => [4,2,3,1] => [4,3,2,1] => 10101010 => 10
[4,3,1,2] => [4,3,1,2] => [4,3,2,1] => 10101010 => 10
[4,3,2,1] => [4,3,2,1] => [4,3,2,1] => 10101010 => 10
[1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1,1] => 111110 => 5
[1,1,1,1,2] => [1,1,1,1,2] => [2,1,1,1,1] => 1011110 => 6
[1,1,1,2,1] => [1,1,1,2,1] => [2,1,1,1,1] => 1011110 => 6
[1,1,2,1,1] => [1,1,2,1,1] => [2,1,1,1,1] => 1011110 => 6
[1,2,1,1,1] => [1,2,1,1,1] => [2,1,1,1,1] => 1011110 => 6
[2,1,1,1,1] => [2,1,1,1,1] => [2,1,1,1,1] => 1011110 => 6
[1,1,1,1,3] => [1,1,1,1,3] => [3,1,1,1,1] => 10011110 => 7
[1,1,1,3,1] => [1,1,1,3,1] => [3,1,1,1,1] => 10011110 => 7
[1,1,3,1,1] => [1,1,3,1,1] => [3,1,1,1,1] => 10011110 => 7
[1,3,1,1,1] => [1,3,1,1,1] => [3,1,1,1,1] => 10011110 => 7
[3,1,1,1,1] => [3,1,1,1,1] => [3,1,1,1,1] => 10011110 => 7
[1,1,1,1,4] => [1,1,1,1,4] => [4,1,1,1,1] => 100011110 => 8
[1,1,1,4,1] => [1,1,1,4,1] => [4,1,1,1,1] => 100011110 => 8
[1,1,4,1,1] => [1,1,4,1,1] => [4,1,1,1,1] => 100011110 => 8
[1,4,1,1,1] => [1,4,1,1,1] => [4,1,1,1,1] => 100011110 => 8
[4,1,1,1,1] => [4,1,1,1,1] => [4,1,1,1,1] => 100011110 => 8
[1,1,1,1,5] => [1,1,1,1,5] => [5,1,1,1,1] => 1000011110 => 9
[1,1,1,5,1] => [1,1,1,5,1] => [5,1,1,1,1] => 1000011110 => 9
[1,1,5,1,1] => [1,1,5,1,1] => [5,1,1,1,1] => 1000011110 => 9
[1,5,1,1,1] => [1,5,1,1,1] => [5,1,1,1,1] => 1000011110 => 9
[5,1,1,1,1] => [5,1,1,1,1] => [5,1,1,1,1] => 1000011110 => 9
[1,1,1,2,2] => [1,1,1,2,2] => [2,2,1,1,1] => 1101110 => 7
[1,1,2,1,2] => [1,1,2,1,2] => [2,2,1,1,1] => 1101110 => 7
[1,1,2,2,1] => [1,1,2,2,1] => [2,2,1,1,1] => 1101110 => 7
[1,2,1,1,2] => [1,2,1,1,2] => [2,2,1,1,1] => 1101110 => 7
[1,2,1,2,1] => [1,2,1,2,1] => [2,2,1,1,1] => 1101110 => 7
[1,2,2,1,1] => [1,2,2,1,1] => [2,2,1,1,1] => 1101110 => 7
[2,1,1,1,2] => [2,1,1,1,2] => [2,2,1,1,1] => 1101110 => 7
[2,1,1,2,1] => [2,1,1,2,1] => [2,2,1,1,1] => 1101110 => 7
[2,1,2,1,1] => [2,1,2,1,1] => [2,2,1,1,1] => 1101110 => 7
[2,2,1,1,1] => [2,2,1,1,1] => [2,2,1,1,1] => 1101110 => 7
[1,1,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 10101110 => 8
[1,1,1,3,2] => [1,1,1,3,2] => [3,2,1,1,1] => 10101110 => 8
[1,1,2,1,3] => [1,1,2,1,3] => [3,2,1,1,1] => 10101110 => 8
[1,1,2,3,1] => [1,1,2,3,1] => [3,2,1,1,1] => 10101110 => 8
[1,1,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 10101110 => 8
[1,1,3,2,1] => [1,1,3,2,1] => [3,2,1,1,1] => 10101110 => 8
[1,2,1,1,3] => [1,2,1,1,3] => [3,2,1,1,1] => 10101110 => 8
[1,2,1,3,1] => [1,2,1,3,1] => [3,2,1,1,1] => 10101110 => 8
[1,2,3,1,1] => [1,2,3,1,1] => [3,2,1,1,1] => 10101110 => 8
[1,3,1,1,2] => [1,3,1,1,2] => [3,2,1,1,1] => 10101110 => 8
[1,3,1,2,1] => [1,3,1,2,1] => [3,2,1,1,1] => 10101110 => 8
[1,3,2,1,1] => [1,3,2,1,1] => [3,2,1,1,1] => 10101110 => 8
[2,1,1,1,3] => [2,1,1,1,3] => [3,2,1,1,1] => 10101110 => 8
[2,1,1,3,1] => [2,1,1,3,1] => [3,2,1,1,1] => 10101110 => 8
[2,1,3,1,1] => [2,1,3,1,1] => [3,2,1,1,1] => 10101110 => 8
[2,3,1,1,1] => [2,3,1,1,1] => [3,2,1,1,1] => 10101110 => 8
[3,1,1,1,2] => [3,1,1,1,2] => [3,2,1,1,1] => 10101110 => 8
[3,1,1,2,1] => [3,1,1,2,1] => [3,2,1,1,1] => 10101110 => 8
[3,1,2,1,1] => [3,1,2,1,1] => [3,2,1,1,1] => 10101110 => 8
[3,2,1,1,1] => [3,2,1,1,1] => [3,2,1,1,1] => 10101110 => 8
[1,1,1,2,4] => [1,1,1,2,4] => [4,2,1,1,1] => 100101110 => 9
[1,1,1,4,2] => [1,1,1,4,2] => [4,2,1,1,1] => 100101110 => 9
[1,1,2,1,4] => [1,1,2,1,4] => [4,2,1,1,1] => 100101110 => 9
[1,1,2,4,1] => [1,1,2,4,1] => [4,2,1,1,1] => 100101110 => 9
[1,1,4,1,2] => [1,1,4,1,2] => [4,2,1,1,1] => 100101110 => 9
[1,1,4,2,1] => [1,1,4,2,1] => [4,2,1,1,1] => 100101110 => 9
[1,2,1,1,4] => [1,2,1,1,4] => [4,2,1,1,1] => 100101110 => 9
[1,2,1,4,1] => [1,2,1,4,1] => [4,2,1,1,1] => 100101110 => 9
[1,2,4,1,1] => [1,2,4,1,1] => [4,2,1,1,1] => 100101110 => 9
[1,4,1,1,2] => [1,4,1,1,2] => [4,2,1,1,1] => 100101110 => 9
[1,4,1,2,1] => [1,4,1,2,1] => [4,2,1,1,1] => 100101110 => 9
[1,4,2,1,1] => [1,4,2,1,1] => [4,2,1,1,1] => 100101110 => 9
[2,1,1,1,4] => [2,1,1,1,4] => [4,2,1,1,1] => 100101110 => 9
[2,1,1,4,1] => [2,1,1,4,1] => [4,2,1,1,1] => 100101110 => 9
[2,1,4,1,1] => [2,1,4,1,1] => [4,2,1,1,1] => 100101110 => 9
[2,4,1,1,1] => [2,4,1,1,1] => [4,2,1,1,1] => 100101110 => 9
[4,1,1,1,2] => [4,1,1,1,2] => [4,2,1,1,1] => 100101110 => 9
[4,1,1,2,1] => [4,1,1,2,1] => [4,2,1,1,1] => 100101110 => 9
[4,1,2,1,1] => [4,1,2,1,1] => [4,2,1,1,1] => 100101110 => 9
[4,2,1,1,1] => [4,2,1,1,1] => [4,2,1,1,1] => 100101110 => 9
[1,1,1,2,5] => [1,1,1,2,5] => [5,2,1,1,1] => 1000101110 => 10
[1,1,1,5,2] => [1,1,1,5,2] => [5,2,1,1,1] => 1000101110 => 10
[1,1,2,1,5] => [1,1,2,1,5] => [5,2,1,1,1] => 1000101110 => 10
[1,1,2,5,1] => [1,1,2,5,1] => [5,2,1,1,1] => 1000101110 => 10
[1,1,5,1,2] => [1,1,5,1,2] => [5,2,1,1,1] => 1000101110 => 10
[1,1,5,2,1] => [1,1,5,2,1] => [5,2,1,1,1] => 1000101110 => 10
[1,2,1,1,5] => [1,2,1,1,5] => [5,2,1,1,1] => 1000101110 => 10
[1,2,1,5,1] => [1,2,1,5,1] => [5,2,1,1,1] => 1000101110 => 10
[1,2,5,1,1] => [1,2,5,1,1] => [5,2,1,1,1] => 1000101110 => 10
[1,5,1,1,2] => [1,5,1,1,2] => [5,2,1,1,1] => 1000101110 => 10
[1,5,1,2,1] => [1,5,1,2,1] => [5,2,1,1,1] => 1000101110 => 10
[1,5,2,1,1] => [1,5,2,1,1] => [5,2,1,1,1] => 1000101110 => 10
[2,1,1,1,5] => [2,1,1,1,5] => [5,2,1,1,1] => 1000101110 => 10
[2,1,1,5,1] => [2,1,1,5,1] => [5,2,1,1,1] => 1000101110 => 10
[2,1,5,1,1] => [2,1,5,1,1] => [5,2,1,1,1] => 1000101110 => 10
[2,5,1,1,1] => [2,5,1,1,1] => [5,2,1,1,1] => 1000101110 => 10
[5,1,1,1,2] => [5,1,1,1,2] => [5,2,1,1,1] => 1000101110 => 10
[5,1,1,2,1] => [5,1,1,2,1] => [5,2,1,1,1] => 1000101110 => 10
[5,1,2,1,1] => [5,1,2,1,1] => [5,2,1,1,1] => 1000101110 => 10
[5,2,1,1,1] => [5,2,1,1,1] => [5,2,1,1,1] => 1000101110 => 10
[1,1,1,3,3] => [1,1,1,3,3] => [3,3,1,1,1] => 11001110 => 9
[1,1,3,1,3] => [1,1,3,1,3] => [3,3,1,1,1] => 11001110 => 9
[1,1,3,3,1] => [1,1,3,3,1] => [3,3,1,1,1] => 11001110 => 9
[1,3,1,1,3] => [1,3,1,1,3] => [3,3,1,1,1] => 11001110 => 9
[1,3,1,3,1] => [1,3,1,3,1] => [3,3,1,1,1] => 11001110 => 9
[1,3,3,1,1] => [1,3,3,1,1] => [3,3,1,1,1] => 11001110 => 9
[3,1,1,1,3] => [3,1,1,1,3] => [3,3,1,1,1] => 11001110 => 9
[3,1,1,3,1] => [3,1,1,3,1] => [3,3,1,1,1] => 11001110 => 9
[3,1,3,1,1] => [3,1,3,1,1] => [3,3,1,1,1] => 11001110 => 9
[3,3,1,1,1] => [3,3,1,1,1] => [3,3,1,1,1] => 11001110 => 9
[1,1,1,3,4] => [1,1,1,3,4] => [4,3,1,1,1] => 101001110 => 10
[1,1,1,4,3] => [1,1,1,4,3] => [4,3,1,1,1] => 101001110 => 10
[1,1,3,1,4] => [1,1,3,1,4] => [4,3,1,1,1] => 101001110 => 10
[1,1,3,4,1] => [1,1,3,4,1] => [4,3,1,1,1] => 101001110 => 10
[1,1,4,1,3] => [1,1,4,1,3] => [4,3,1,1,1] => 101001110 => 10
[1,1,4,3,1] => [1,1,4,3,1] => [4,3,1,1,1] => 101001110 => 10
[1,3,1,1,4] => [1,3,1,1,4] => [4,3,1,1,1] => 101001110 => 10
[1,3,1,4,1] => [1,3,1,4,1] => [4,3,1,1,1] => 101001110 => 10
[1,3,4,1,1] => [1,3,4,1,1] => [4,3,1,1,1] => 101001110 => 10
[1,4,1,1,3] => [1,4,1,1,3] => [4,3,1,1,1] => 101001110 => 10
[1,4,1,3,1] => [1,4,1,3,1] => [4,3,1,1,1] => 101001110 => 10
[1,4,3,1,1] => [1,4,3,1,1] => [4,3,1,1,1] => 101001110 => 10
[3,1,1,1,4] => [3,1,1,1,4] => [4,3,1,1,1] => 101001110 => 10
[3,1,1,4,1] => [3,1,1,4,1] => [4,3,1,1,1] => 101001110 => 10
[3,1,4,1,1] => [3,1,4,1,1] => [4,3,1,1,1] => 101001110 => 10
[3,4,1,1,1] => [3,4,1,1,1] => [4,3,1,1,1] => 101001110 => 10
[4,1,1,1,3] => [4,1,1,1,3] => [4,3,1,1,1] => 101001110 => 10
[4,1,1,3,1] => [4,1,1,3,1] => [4,3,1,1,1] => 101001110 => 10
[4,1,3,1,1] => [4,1,3,1,1] => [4,3,1,1,1] => 101001110 => 10
[4,3,1,1,1] => [4,3,1,1,1] => [4,3,1,1,1] => 101001110 => 10
[1,3,1,5,1] => [1,3,1,5,1] => [5,3,1,1,1] => 1001001110 => 11
[1,5,1,3,1] => [1,5,1,3,1] => [5,3,1,1,1] => 1001001110 => 11
[1,4,1,4,1] => [1,4,1,4,1] => [4,4,1,1,1] => 110001110 => 11
[1,1,4,1,5] => [1,1,4,1,5] => [5,4,1,1,1] => 1010001110 => 12
[1,1,4,5,1] => [1,1,4,5,1] => [5,4,1,1,1] => 1010001110 => 12
[1,5,4,1,1] => [1,5,4,1,1] => [5,4,1,1,1] => 1010001110 => 12
[5,1,4,1,1] => [5,1,4,1,1] => [5,4,1,1,1] => 1010001110 => 12
[1,1,2,2,2] => [1,1,2,2,2] => [2,2,2,1,1] => 1110110 => 8
[1,2,1,2,2] => [1,2,1,2,2] => [2,2,2,1,1] => 1110110 => 8
[1,2,2,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 1110110 => 8
[1,2,2,2,1] => [1,2,2,2,1] => [2,2,2,1,1] => 1110110 => 8
[2,1,1,2,2] => [2,1,1,2,2] => [2,2,2,1,1] => 1110110 => 8
[2,1,2,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 1110110 => 8
[2,1,2,2,1] => [2,1,2,2,1] => [2,2,2,1,1] => 1110110 => 8
[2,2,1,1,2] => [2,2,1,1,2] => [2,2,2,1,1] => 1110110 => 8
[2,2,1,2,1] => [2,2,1,2,1] => [2,2,2,1,1] => 1110110 => 8
[2,2,2,1,1] => [2,2,2,1,1] => [2,2,2,1,1] => 1110110 => 8
[1,1,2,2,3] => [1,1,2,2,3] => [3,2,2,1,1] => 10110110 => 9
[1,1,2,3,2] => [1,1,2,3,2] => [3,2,2,1,1] => 10110110 => 9
[1,1,3,2,2] => [1,1,3,2,2] => [3,2,2,1,1] => 10110110 => 9
[1,2,1,2,3] => [1,2,1,2,3] => [3,2,2,1,1] => 10110110 => 9
[1,2,1,3,2] => [1,2,1,3,2] => [3,2,2,1,1] => 10110110 => 9
[1,2,2,1,3] => [1,2,2,1,3] => [3,2,2,1,1] => 10110110 => 9
[1,2,2,3,1] => [1,2,2,3,1] => [3,2,2,1,1] => 10110110 => 9
[1,2,3,1,2] => [1,2,3,1,2] => [3,2,2,1,1] => 10110110 => 9
[1,2,3,2,1] => [1,2,3,2,1] => [3,2,2,1,1] => 10110110 => 9
[1,3,1,2,2] => [1,3,1,2,2] => [3,2,2,1,1] => 10110110 => 9
[1,3,2,1,2] => [1,3,2,1,2] => [3,2,2,1,1] => 10110110 => 9
[1,3,2,2,1] => [1,3,2,2,1] => [3,2,2,1,1] => 10110110 => 9
[2,1,1,2,3] => [2,1,1,2,3] => [3,2,2,1,1] => 10110110 => 9
[2,1,1,3,2] => [2,1,1,3,2] => [3,2,2,1,1] => 10110110 => 9
[2,1,2,1,3] => [2,1,2,1,3] => [3,2,2,1,1] => 10110110 => 9
[2,1,2,3,1] => [2,1,2,3,1] => [3,2,2,1,1] => 10110110 => 9
[2,1,3,1,2] => [2,1,3,1,2] => [3,2,2,1,1] => 10110110 => 9
[2,1,3,2,1] => [2,1,3,2,1] => [3,2,2,1,1] => 10110110 => 9
[2,2,1,1,3] => [2,2,1,1,3] => [3,2,2,1,1] => 10110110 => 9
[2,2,1,3,1] => [2,2,1,3,1] => [3,2,2,1,1] => 10110110 => 9
[2,2,3,1,1] => [2,2,3,1,1] => [3,2,2,1,1] => 10110110 => 9
[2,3,1,1,2] => [2,3,1,1,2] => [3,2,2,1,1] => 10110110 => 9
[2,3,1,2,1] => [2,3,1,2,1] => [3,2,2,1,1] => 10110110 => 9
[2,3,2,1,1] => [2,3,2,1,1] => [3,2,2,1,1] => 10110110 => 9
[3,1,1,2,2] => [3,1,1,2,2] => [3,2,2,1,1] => 10110110 => 9
[3,1,2,1,2] => [3,1,2,1,2] => [3,2,2,1,1] => 10110110 => 9
[3,1,2,2,1] => [3,1,2,2,1] => [3,2,2,1,1] => 10110110 => 9
[3,2,1,1,2] => [3,2,1,1,2] => [3,2,2,1,1] => 10110110 => 9
[3,2,1,2,1] => [3,2,1,2,1] => [3,2,2,1,1] => 10110110 => 9
[3,2,2,1,1] => [3,2,2,1,1] => [3,2,2,1,1] => 10110110 => 9
[1,1,2,2,4] => [1,1,2,2,4] => [4,2,2,1,1] => 100110110 => 10
[1,1,2,4,2] => [1,1,2,4,2] => [4,2,2,1,1] => 100110110 => 10
[1,1,4,2,2] => [1,1,4,2,2] => [4,2,2,1,1] => 100110110 => 10
[1,2,1,2,4] => [1,2,1,2,4] => [4,2,2,1,1] => 100110110 => 10
[1,2,1,4,2] => [1,2,1,4,2] => [4,2,2,1,1] => 100110110 => 10
[1,2,2,1,4] => [1,2,2,1,4] => [4,2,2,1,1] => 100110110 => 10
[1,2,2,4,1] => [1,2,2,4,1] => [4,2,2,1,1] => 100110110 => 10
[1,2,4,1,2] => [1,2,4,1,2] => [4,2,2,1,1] => 100110110 => 10
[1,2,4,2,1] => [1,2,4,2,1] => [4,2,2,1,1] => 100110110 => 10
[1,4,1,2,2] => [1,4,1,2,2] => [4,2,2,1,1] => 100110110 => 10
[1,4,2,1,2] => [1,4,2,1,2] => [4,2,2,1,1] => 100110110 => 10
[1,4,2,2,1] => [1,4,2,2,1] => [4,2,2,1,1] => 100110110 => 10
[2,1,1,2,4] => [2,1,1,2,4] => [4,2,2,1,1] => 100110110 => 10
[2,1,1,4,2] => [2,1,1,4,2] => [4,2,2,1,1] => 100110110 => 10
[2,1,2,1,4] => [2,1,2,1,4] => [4,2,2,1,1] => 100110110 => 10
[2,1,2,4,1] => [2,1,2,4,1] => [4,2,2,1,1] => 100110110 => 10
[2,1,4,1,2] => [2,1,4,1,2] => [4,2,2,1,1] => 100110110 => 10
[2,1,4,2,1] => [2,1,4,2,1] => [4,2,2,1,1] => 100110110 => 10
[2,2,1,1,4] => [2,2,1,1,4] => [4,2,2,1,1] => 100110110 => 10
[2,2,1,4,1] => [2,2,1,4,1] => [4,2,2,1,1] => 100110110 => 10
[2,2,4,1,1] => [2,2,4,1,1] => [4,2,2,1,1] => 100110110 => 10
[2,4,1,1,2] => [2,4,1,1,2] => [4,2,2,1,1] => 100110110 => 10
[2,4,1,2,1] => [2,4,1,2,1] => [4,2,2,1,1] => 100110110 => 10
[2,4,2,1,1] => [2,4,2,1,1] => [4,2,2,1,1] => 100110110 => 10
[4,1,1,2,2] => [4,1,1,2,2] => [4,2,2,1,1] => 100110110 => 10
[4,1,2,1,2] => [4,1,2,1,2] => [4,2,2,1,1] => 100110110 => 10
[4,1,2,2,1] => [4,1,2,2,1] => [4,2,2,1,1] => 100110110 => 10
[4,2,1,1,2] => [4,2,1,1,2] => [4,2,2,1,1] => 100110110 => 10
[4,2,1,2,1] => [4,2,1,2,1] => [4,2,2,1,1] => 100110110 => 10
[4,2,2,1,1] => [4,2,2,1,1] => [4,2,2,1,1] => 100110110 => 10
[1,2,5,2,1] => [1,2,5,2,1] => [5,2,2,1,1] => 1000110110 => 11
[1,5,2,1,2] => [1,5,2,1,2] => [5,2,2,1,1] => 1000110110 => 11
[2,1,2,5,1] => [2,1,2,5,1] => [5,2,2,1,1] => 1000110110 => 11
[1,1,2,3,3] => [1,1,2,3,3] => [3,3,2,1,1] => 11010110 => 10
[1,1,3,2,3] => [1,1,3,2,3] => [3,3,2,1,1] => 11010110 => 10
[1,1,3,3,2] => [1,1,3,3,2] => [3,3,2,1,1] => 11010110 => 10
[1,2,1,3,3] => [1,2,1,3,3] => [3,3,2,1,1] => 11010110 => 10
[1,2,3,1,3] => [1,2,3,1,3] => [3,3,2,1,1] => 11010110 => 10
[1,2,3,3,1] => [1,2,3,3,1] => [3,3,2,1,1] => 11010110 => 10
[1,3,1,2,3] => [1,3,1,2,3] => [3,3,2,1,1] => 11010110 => 10
[1,3,1,3,2] => [1,3,1,3,2] => [3,3,2,1,1] => 11010110 => 10
[1,3,2,1,3] => [1,3,2,1,3] => [3,3,2,1,1] => 11010110 => 10
[1,3,2,3,1] => [1,3,2,3,1] => [3,3,2,1,1] => 11010110 => 10
[1,3,3,1,2] => [1,3,3,1,2] => [3,3,2,1,1] => 11010110 => 10
[1,3,3,2,1] => [1,3,3,2,1] => [3,3,2,1,1] => 11010110 => 10
[2,1,1,3,3] => [2,1,1,3,3] => [3,3,2,1,1] => 11010110 => 10
[2,1,3,1,3] => [2,1,3,1,3] => [3,3,2,1,1] => 11010110 => 10
[2,1,3,3,1] => [2,1,3,3,1] => [3,3,2,1,1] => 11010110 => 10
[2,3,1,1,3] => [2,3,1,1,3] => [3,3,2,1,1] => 11010110 => 10
[2,3,1,3,1] => [2,3,1,3,1] => [3,3,2,1,1] => 11010110 => 10
[2,3,3,1,1] => [2,3,3,1,1] => [3,3,2,1,1] => 11010110 => 10
[3,1,1,2,3] => [3,1,1,2,3] => [3,3,2,1,1] => 11010110 => 10
[3,1,1,3,2] => [3,1,1,3,2] => [3,3,2,1,1] => 11010110 => 10
[3,1,2,1,3] => [3,1,2,1,3] => [3,3,2,1,1] => 11010110 => 10
[3,1,2,3,1] => [3,1,2,3,1] => [3,3,2,1,1] => 11010110 => 10
[3,1,3,1,2] => [3,1,3,1,2] => [3,3,2,1,1] => 11010110 => 10
[3,1,3,2,1] => [3,1,3,2,1] => [3,3,2,1,1] => 11010110 => 10
[3,2,1,1,3] => [3,2,1,1,3] => [3,3,2,1,1] => 11010110 => 10
[3,2,1,3,1] => [3,2,1,3,1] => [3,3,2,1,1] => 11010110 => 10
[3,2,3,1,1] => [3,2,3,1,1] => [3,3,2,1,1] => 11010110 => 10
[3,3,1,1,2] => [3,3,1,1,2] => [3,3,2,1,1] => 11010110 => 10
[3,3,1,2,1] => [3,3,1,2,1] => [3,3,2,1,1] => 11010110 => 10
[3,3,2,1,1] => [3,3,2,1,1] => [3,3,2,1,1] => 11010110 => 10
[1,2,3,4,1] => [1,2,3,4,1] => [4,3,2,1,1] => 101010110 => 11
[1,4,3,2,1] => [1,4,3,2,1] => [4,3,2,1,1] => 101010110 => 11
[1,1,2,3,5] => [1,1,2,3,5] => [5,3,2,1,1] => 1001010110 => 12
[1,1,2,5,3] => [1,1,2,5,3] => [5,3,2,1,1] => 1001010110 => 12
[1,3,2,1,5] => [1,3,2,1,5] => [5,3,2,1,1] => 1001010110 => 12
[1,3,2,5,1] => [1,3,2,5,1] => [5,3,2,1,1] => 1001010110 => 12
[1,3,5,2,1] => [1,3,5,2,1] => [5,3,2,1,1] => 1001010110 => 12
[1,5,2,1,3] => [1,5,2,1,3] => [5,3,2,1,1] => 1001010110 => 12
[1,5,2,3,1] => [1,5,2,3,1] => [5,3,2,1,1] => 1001010110 => 12
[1,5,3,2,1] => [1,5,3,2,1] => [5,3,2,1,1] => 1001010110 => 12
[3,1,2,1,5] => [3,1,2,1,5] => [5,3,2,1,1] => 1001010110 => 12
[3,1,2,5,1] => [3,1,2,5,1] => [5,3,2,1,1] => 1001010110 => 12
[3,5,2,1,1] => [3,5,2,1,1] => [5,3,2,1,1] => 1001010110 => 12
[5,1,2,1,3] => [5,1,2,1,3] => [5,3,2,1,1] => 1001010110 => 12
[5,1,2,3,1] => [5,1,2,3,1] => [5,3,2,1,1] => 1001010110 => 12
[5,3,2,1,1] => [5,3,2,1,1] => [5,3,2,1,1] => 1001010110 => 12
[1,2,4,4,1] => [1,2,4,4,1] => [4,4,2,1,1] => 110010110 => 12
[1,4,2,4,1] => [1,4,2,4,1] => [4,4,2,1,1] => 110010110 => 12
[1,4,4,2,1] => [1,4,4,2,1] => [4,4,2,1,1] => 110010110 => 12
[1,2,5,4,1] => [1,2,5,4,1] => [5,4,2,1,1] => 1010010110 => 13
[1,4,5,2,1] => [1,4,5,2,1] => [5,4,2,1,1] => 1010010110 => 13
[1,1,4,3,3] => [1,1,4,3,3] => [4,3,3,1,1] => 101100110 => 12
[1,3,3,4,1] => [1,3,3,4,1] => [4,3,3,1,1] => 101100110 => 12
[1,3,4,1,3] => [1,3,4,1,3] => [4,3,3,1,1] => 101100110 => 12
[1,3,4,3,1] => [1,3,4,3,1] => [4,3,3,1,1] => 101100110 => 12
[1,4,3,3,1] => [1,4,3,3,1] => [4,3,3,1,1] => 101100110 => 12
[3,1,4,1,3] => [3,1,4,1,3] => [4,3,3,1,1] => 101100110 => 12
[3,1,4,3,1] => [3,1,4,3,1] => [4,3,3,1,1] => 101100110 => 12
[3,3,4,1,1] => [3,3,4,1,1] => [4,3,3,1,1] => 101100110 => 12
[1,4,3,4,1] => [1,4,3,4,1] => [4,4,3,1,1] => 110100110 => 13
[1,2,2,2,2] => [1,2,2,2,2] => [2,2,2,2,1] => 1111010 => 9
[2,1,2,2,2] => [2,1,2,2,2] => [2,2,2,2,1] => 1111010 => 9
[2,2,1,2,2] => [2,2,1,2,2] => [2,2,2,2,1] => 1111010 => 9
[2,2,2,1,2] => [2,2,2,1,2] => [2,2,2,2,1] => 1111010 => 9
[2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,2,1] => 1111010 => 9
[1,2,2,2,3] => [1,2,2,2,3] => [3,2,2,2,1] => 10111010 => 10
[1,2,2,3,2] => [1,2,2,3,2] => [3,2,2,2,1] => 10111010 => 10
[1,2,3,2,2] => [1,2,3,2,2] => [3,2,2,2,1] => 10111010 => 10
[1,3,2,2,2] => [1,3,2,2,2] => [3,2,2,2,1] => 10111010 => 10
[2,1,2,2,3] => [2,1,2,2,3] => [3,2,2,2,1] => 10111010 => 10
[2,1,2,3,2] => [2,1,2,3,2] => [3,2,2,2,1] => 10111010 => 10
[2,1,3,2,2] => [2,1,3,2,2] => [3,2,2,2,1] => 10111010 => 10
[2,2,1,2,3] => [2,2,1,2,3] => [3,2,2,2,1] => 10111010 => 10
[2,2,1,3,2] => [2,2,1,3,2] => [3,2,2,2,1] => 10111010 => 10
[2,2,2,1,3] => [2,2,2,1,3] => [3,2,2,2,1] => 10111010 => 10
[2,2,2,3,1] => [2,2,2,3,1] => [3,2,2,2,1] => 10111010 => 10
[2,2,3,1,2] => [2,2,3,1,2] => [3,2,2,2,1] => 10111010 => 10
[2,2,3,2,1] => [2,2,3,2,1] => [3,2,2,2,1] => 10111010 => 10
[2,3,1,2,2] => [2,3,1,2,2] => [3,2,2,2,1] => 10111010 => 10
[2,3,2,1,2] => [2,3,2,1,2] => [3,2,2,2,1] => 10111010 => 10
[2,3,2,2,1] => [2,3,2,2,1] => [3,2,2,2,1] => 10111010 => 10
[3,1,2,2,2] => [3,1,2,2,2] => [3,2,2,2,1] => 10111010 => 10
[3,2,1,2,2] => [3,2,1,2,2] => [3,2,2,2,1] => 10111010 => 10
[3,2,2,1,2] => [3,2,2,1,2] => [3,2,2,2,1] => 10111010 => 10
[3,2,2,2,1] => [3,2,2,2,1] => [3,2,2,2,1] => 10111010 => 10
[1,2,2,2,5] => [1,2,2,2,5] => [5,2,2,2,1] => 1000111010 => 12
[1,2,5,2,2] => [1,2,5,2,2] => [5,2,2,2,1] => 1000111010 => 12
[1,5,2,2,2] => [1,5,2,2,2] => [5,2,2,2,1] => 1000111010 => 12
[2,2,5,2,1] => [2,2,5,2,1] => [5,2,2,2,1] => 1000111010 => 12
[2,5,2,2,1] => [2,5,2,2,1] => [5,2,2,2,1] => 1000111010 => 12
[5,2,2,2,1] => [5,2,2,2,1] => [5,2,2,2,1] => 1000111010 => 12
[1,2,2,4,3] => [1,2,2,4,3] => [4,3,2,2,1] => 101011010 => 12
[1,2,3,4,2] => [1,2,3,4,2] => [4,3,2,2,1] => 101011010 => 12
[1,2,4,2,3] => [1,2,4,2,3] => [4,3,2,2,1] => 101011010 => 12
[1,2,4,3,2] => [1,2,4,3,2] => [4,3,2,2,1] => 101011010 => 12
[1,3,2,4,2] => [1,3,2,4,2] => [4,3,2,2,1] => 101011010 => 12
[1,3,4,2,2] => [1,3,4,2,2] => [4,3,2,2,1] => 101011010 => 12
[1,4,2,2,3] => [1,4,2,2,3] => [4,3,2,2,1] => 101011010 => 12
[1,4,2,3,2] => [1,4,2,3,2] => [4,3,2,2,1] => 101011010 => 12
[1,4,3,2,2] => [1,4,3,2,2] => [4,3,2,2,1] => 101011010 => 12
[2,2,3,4,1] => [2,2,3,4,1] => [4,3,2,2,1] => 101011010 => 12
[2,2,4,3,1] => [2,2,4,3,1] => [4,3,2,2,1] => 101011010 => 12
[2,3,2,4,1] => [2,3,2,4,1] => [4,3,2,2,1] => 101011010 => 12
[2,3,4,2,1] => [2,3,4,2,1] => [4,3,2,2,1] => 101011010 => 12
[2,4,2,3,1] => [2,4,2,3,1] => [4,3,2,2,1] => 101011010 => 12
[2,4,3,2,1] => [2,4,3,2,1] => [4,3,2,2,1] => 101011010 => 12
[3,2,2,4,1] => [3,2,2,4,1] => [4,3,2,2,1] => 101011010 => 12
[3,2,4,2,1] => [3,2,4,2,1] => [4,3,2,2,1] => 101011010 => 12
[3,4,2,2,1] => [3,4,2,2,1] => [4,3,2,2,1] => 101011010 => 12
[4,2,2,3,1] => [4,2,2,3,1] => [4,3,2,2,1] => 101011010 => 12
[4,2,3,2,1] => [4,2,3,2,1] => [4,3,2,2,1] => 101011010 => 12
[4,3,2,2,1] => [4,3,2,2,1] => [4,3,2,2,1] => 101011010 => 12
[1,2,3,3,3] => [1,2,3,3,3] => [3,3,3,2,1] => 11101010 => 12
[1,3,2,3,3] => [1,3,2,3,3] => [3,3,3,2,1] => 11101010 => 12
[1,3,3,2,3] => [1,3,3,2,3] => [3,3,3,2,1] => 11101010 => 12
[1,3,3,3,2] => [1,3,3,3,2] => [3,3,3,2,1] => 11101010 => 12
[2,3,3,3,1] => [2,3,3,3,1] => [3,3,3,2,1] => 11101010 => 12
[3,1,2,3,3] => [3,1,2,3,3] => [3,3,3,2,1] => 11101010 => 12
[3,2,3,3,1] => [3,2,3,3,1] => [3,3,3,2,1] => 11101010 => 12
[3,3,2,1,3] => [3,3,2,1,3] => [3,3,3,2,1] => 11101010 => 12
[3,3,2,3,1] => [3,3,2,3,1] => [3,3,3,2,1] => 11101010 => 12
[3,3,3,2,1] => [3,3,3,2,1] => [3,3,3,2,1] => 11101010 => 12
[1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => 1111110 => 6
[1,1,1,1,1,2] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 10111110 => 7
[1,1,1,1,2,1] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 10111110 => 7
[1,1,1,2,1,1] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 10111110 => 7
[1,1,2,1,1,1] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 10111110 => 7
[1,2,1,1,1,1] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 10111110 => 7
[2,1,1,1,1,1] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 10111110 => 7
[1,1,1,1,1,3] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 100111110 => 8
[1,1,1,1,3,1] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 100111110 => 8
[1,1,1,3,1,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 100111110 => 8
[1,1,3,1,1,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 100111110 => 8
[1,3,1,1,1,1] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 100111110 => 8
[3,1,1,1,1,1] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 100111110 => 8
[1,1,1,1,1,4] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 1000111110 => 9
[1,1,1,1,4,1] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 1000111110 => 9
[1,1,1,4,1,1] => [1,1,1,4,1,1] => [4,1,1,1,1,1] => 1000111110 => 9
[1,1,4,1,1,1] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 1000111110 => 9
[1,4,1,1,1,1] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 1000111110 => 9
[4,1,1,1,1,1] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 1000111110 => 9
[1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 10000111110 => 10
[1,1,1,1,5,1] => [1,1,1,1,5,1] => [5,1,1,1,1,1] => 10000111110 => 10
[1,1,1,5,1,1] => [1,1,1,5,1,1] => [5,1,1,1,1,1] => 10000111110 => 10
[1,1,5,1,1,1] => [1,1,5,1,1,1] => [5,1,1,1,1,1] => 10000111110 => 10
[1,5,1,1,1,1] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 10000111110 => 10
[5,1,1,1,1,1] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 10000111110 => 10
[1,1,1,1,2,2] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,1,2,1,2] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,1,2,2,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,2,1,1,2] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,2,1,2,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,2,2,1,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,2,1,1,1,2] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 11011110 => 8
[1,2,1,1,2,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,2,1,2,1,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,2,2,1,1,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[2,1,1,1,1,2] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 11011110 => 8
[2,1,1,1,2,1] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 11011110 => 8
[2,1,1,2,1,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[2,1,2,1,1,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 11011110 => 8
[1,1,1,1,2,3] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,1,3,2] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,2,1,3] => [1,1,1,2,1,3] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,2,3,1] => [1,1,1,2,3,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,3,1,2] => [1,1,1,3,1,2] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,3,2,1] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,2,1,1,3] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,2,1,3,1] => [1,1,2,1,3,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,2,3,1,1] => [1,1,2,3,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,3,1,1,2] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,3,1,2,1] => [1,1,3,1,2,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,3,2,1,1] => [1,1,3,2,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,2,1,1,1,3] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 101011110 => 9
[1,2,1,1,3,1] => [1,2,1,1,3,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,2,1,3,1,1] => [1,2,1,3,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,2,3,1,1,1] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,3,1,1,1,2] => [1,3,1,1,1,2] => [3,2,1,1,1,1] => 101011110 => 9
[1,3,1,1,2,1] => [1,3,1,1,2,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,3,1,2,1,1] => [1,3,1,2,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,3,2,1,1,1] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[2,1,1,1,1,3] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 101011110 => 9
[2,1,1,1,3,1] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 101011110 => 9
[2,1,1,3,1,1] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[2,1,3,1,1,1] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[2,3,1,1,1,1] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[3,1,1,1,1,2] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 101011110 => 9
[3,1,1,1,2,1] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 101011110 => 9
[3,1,1,2,1,1] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[3,1,2,1,1,1] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[3,2,1,1,1,1] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 101011110 => 9
[1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,1,4,2] => [1,1,1,1,4,2] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,2,1,4] => [1,1,1,2,1,4] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,2,4,1] => [1,1,1,2,4,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,4,1,2] => [1,1,1,4,1,2] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,4,2,1] => [1,1,1,4,2,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,2,1,1,4] => [1,1,2,1,1,4] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,2,1,4,1] => [1,1,2,1,4,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,2,4,1,1] => [1,1,2,4,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,4,1,1,2] => [1,1,4,1,1,2] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,4,1,2,1] => [1,1,4,1,2,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,4,2,1,1] => [1,1,4,2,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,2,1,1,1,4] => [1,2,1,1,1,4] => [4,2,1,1,1,1] => 1001011110 => 10
[1,2,1,1,4,1] => [1,2,1,1,4,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,2,1,4,1,1] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,2,4,1,1,1] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,4,1,1,1,2] => [1,4,1,1,1,2] => [4,2,1,1,1,1] => 1001011110 => 10
[1,4,1,1,2,1] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,4,1,2,1,1] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,4,2,1,1,1] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[2,1,1,1,1,4] => [2,1,1,1,1,4] => [4,2,1,1,1,1] => 1001011110 => 10
[2,1,1,1,4,1] => [2,1,1,1,4,1] => [4,2,1,1,1,1] => 1001011110 => 10
[2,1,1,4,1,1] => [2,1,1,4,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[2,1,4,1,1,1] => [2,1,4,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[2,4,1,1,1,1] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[4,1,1,1,1,2] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 1001011110 => 10
[4,1,1,1,2,1] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 1001011110 => 10
[4,1,1,2,1,1] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[4,1,2,1,1,1] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[4,2,1,1,1,1] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 1001011110 => 10
[1,1,1,1,2,5] => [1,1,1,1,2,5] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,1,1,5,2] => [1,1,1,1,5,2] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,1,2,1,5] => [1,1,1,2,1,5] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,2,1,1,5] => [1,1,2,1,1,5] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,2,5,1,1] => [1,1,2,5,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,5,2,1,1] => [1,1,5,2,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[1,2,1,1,1,5] => [1,2,1,1,1,5] => [5,2,1,1,1,1] => 10001011110 => 11
[1,5,1,1,1,2] => [1,5,1,1,1,2] => [5,2,1,1,1,1] => 10001011110 => 11
[2,1,1,1,5,1] => [2,1,1,1,5,1] => [5,2,1,1,1,1] => 10001011110 => 11
[2,5,1,1,1,1] => [2,5,1,1,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[5,1,1,1,1,2] => [5,1,1,1,1,2] => [5,2,1,1,1,1] => 10001011110 => 11
[5,1,1,1,2,1] => [5,1,1,1,2,1] => [5,2,1,1,1,1] => 10001011110 => 11
[5,1,1,2,1,1] => [5,1,1,2,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[5,1,2,1,1,1] => [5,1,2,1,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[5,2,1,1,1,1] => [5,2,1,1,1,1] => [5,2,1,1,1,1] => 10001011110 => 11
[1,1,1,1,3,3] => [1,1,1,1,3,3] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,1,3,1,3] => [1,1,1,3,1,3] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,1,3,3,1] => [1,1,1,3,3,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,3,1,1,3] => [1,1,3,1,1,3] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,3,1,3,1] => [1,1,3,1,3,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,3,3,1,1] => [1,1,3,3,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,3,1,1,1,3] => [1,3,1,1,1,3] => [3,3,1,1,1,1] => 110011110 => 10
[1,3,1,1,3,1] => [1,3,1,1,3,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,3,1,3,1,1] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,3,3,1,1,1] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[3,1,1,1,1,3] => [3,1,1,1,1,3] => [3,3,1,1,1,1] => 110011110 => 10
[3,1,1,1,3,1] => [3,1,1,1,3,1] => [3,3,1,1,1,1] => 110011110 => 10
[3,1,1,3,1,1] => [3,1,1,3,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[3,1,3,1,1,1] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 110011110 => 10
[1,1,1,2,2,2] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,1,2,1,2,2] => [1,1,2,1,2,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,1,2,2,1,2] => [1,1,2,2,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,1,2,2,2,1] => [1,1,2,2,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,1,1,2,2] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,1,2,1,2] => [1,2,1,2,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,1,2,2,1] => [1,2,1,2,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,2,1,1,2] => [1,2,2,1,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,2,1,2,1] => [1,2,2,1,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[1,2,2,2,1,1] => [1,2,2,2,1,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,1,1,2,2] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,1,2,1,2] => [2,1,1,2,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,1,2,2,1] => [2,1,1,2,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,2,1,1,2] => [2,1,2,1,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,2,1,2,1] => [2,1,2,1,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,1,2,2,1,1] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,2,1,1,1,2] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 11101110 => 9
[2,2,1,1,2,1] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,2,1,2,1,1] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 11101110 => 9
[2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 11101110 => 9
[1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,1,2,3,2] => [1,1,1,2,3,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,1,3,2,2] => [1,1,1,3,2,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,1,2,3] => [1,1,2,1,2,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,1,3,2] => [1,1,2,1,3,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,2,1,3] => [1,1,2,2,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,2,3,1] => [1,1,2,2,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,3,1,2] => [1,1,2,3,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,2,3,2,1] => [1,1,2,3,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,3,1,2,2] => [1,1,3,1,2,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,3,2,1,2] => [1,1,3,2,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,3,2,2,1] => [1,1,3,2,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,1,2,3] => [1,2,1,1,2,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,1,3,2] => [1,2,1,1,3,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,2,1,3] => [1,2,1,2,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,2,3,1] => [1,2,1,2,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,3,1,2] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,1,3,2,1] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,2,1,1,3] => [1,2,2,1,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,2,1,3,1] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,2,3,1,1] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,3,1,1,2] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,3,1,2,1] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,2,3,2,1,1] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,1,1,2,2] => [1,3,1,1,2,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,1,2,1,2] => [1,3,1,2,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,1,2,2,1] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,2,1,1,2] => [1,3,2,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,2,1,2,1] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,3,2,2,1,1] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,1,2,3] => [2,1,1,1,2,3] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,1,3,2] => [2,1,1,1,3,2] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,2,1,3] => [2,1,1,2,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,2,3,1] => [2,1,1,2,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,3,1,2] => [2,1,1,3,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,1,3,2,1] => [2,1,1,3,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,2,1,1,3] => [2,1,2,1,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,2,1,3,1] => [2,1,2,1,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,2,3,1,1] => [2,1,2,3,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,3,1,1,2] => [2,1,3,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,3,1,2,1] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,1,3,2,1,1] => [2,1,3,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,2,1,1,1,3] => [2,2,1,1,1,3] => [3,2,2,1,1,1] => 101101110 => 10
[2,2,1,1,3,1] => [2,2,1,1,3,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,2,1,3,1,1] => [2,2,1,3,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,2,3,1,1,1] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,3,1,1,1,2] => [2,3,1,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[2,3,1,1,2,1] => [2,3,1,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,3,1,2,1,1] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[2,3,2,1,1,1] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,1,1,2,2] => [3,1,1,1,2,2] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,1,2,1,2] => [3,1,1,2,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,1,2,2,1] => [3,1,1,2,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,2,1,1,2] => [3,1,2,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,2,1,2,1] => [3,1,2,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,1,2,2,1,1] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,2,1,1,1,2] => [3,2,1,1,1,2] => [3,2,2,1,1,1] => 101101110 => 10
[3,2,1,1,2,1] => [3,2,1,1,2,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,2,1,2,1,1] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[3,2,2,1,1,1] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 101101110 => 10
[1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,1,3,2,3] => [1,1,1,3,2,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,1,3,3,2] => [1,1,1,3,3,2] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,2,1,3,3] => [1,1,2,1,3,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,2,3,1,3] => [1,1,2,3,1,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,3,1,2,3] => [1,1,3,1,2,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,3,1,3,2] => [1,1,3,1,3,2] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,3,2,1,3] => [1,1,3,2,1,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,2,1,1,3,3] => [1,2,1,1,3,3] => [3,3,2,1,1,1] => 110101110 => 11
[1,2,1,3,1,3] => [1,2,1,3,1,3] => [3,3,2,1,1,1] => 110101110 => 11
[2,3,1,3,1,1] => [2,3,1,3,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[2,3,3,1,1,1] => [2,3,3,1,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,1,2,3,1,1] => [3,1,2,3,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,1,3,1,2,1] => [3,1,3,1,2,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,1,3,2,1,1] => [3,1,3,2,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,2,1,3,1,1] => [3,2,1,3,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,2,3,1,1,1] => [3,2,3,1,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,3,1,1,2,1] => [3,3,1,1,2,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,3,1,2,1,1] => [3,3,1,2,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,3,2,1,1,1] => 110101110 => 11
[1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[1,2,1,2,2,2] => [1,2,1,2,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[1,2,2,1,2,2] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[1,2,2,2,1,2] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 11110110 => 10
[1,2,2,2,2,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 11110110 => 10
[2,1,1,2,2,2] => [2,1,1,2,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,1,2,1,2,2] => [2,1,2,1,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,1,2,2,1,2] => [2,1,2,2,1,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,1,2,2,2,1] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,1,1,2,2] => [2,2,1,1,2,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,1,2,1,2] => [2,2,1,2,1,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,1,2,2,1] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,2,1,1,2] => [2,2,2,1,1,2] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,2,1,2,1] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 11110110 => 10
[2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 11110110 => 10
[1,1,2,2,2,3] => [1,1,2,2,2,3] => [3,2,2,2,1,1] => 101110110 => 11
[1,1,2,2,3,2] => [1,1,2,2,3,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,1,2,3,2,2] => [1,1,2,3,2,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,1,3,2,2,2] => [1,1,3,2,2,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,1,2,2,3] => [1,2,1,2,2,3] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,1,2,3,2] => [1,2,1,2,3,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,1,3,2,2] => [1,2,1,3,2,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,2,1,2,3] => [1,2,2,1,2,3] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,2,1,3,2] => [1,2,2,1,3,2] => [3,2,2,2,1,1] => 101110110 => 11
[1,2,2,2,1,3] => [1,2,2,2,1,3] => [3,2,2,2,1,1] => 101110110 => 11
[2,2,2,3,1,1] => [2,2,2,3,1,1] => [3,2,2,2,1,1] => 101110110 => 11
[2,2,3,1,2,1] => [2,2,3,1,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[2,2,3,2,1,1] => [2,2,3,2,1,1] => [3,2,2,2,1,1] => 101110110 => 11
[2,3,1,2,2,1] => [2,3,1,2,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[2,3,2,1,2,1] => [2,3,2,1,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[2,3,2,2,1,1] => [2,3,2,2,1,1] => [3,2,2,2,1,1] => 101110110 => 11
[3,1,2,2,2,1] => [3,1,2,2,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[3,2,1,2,2,1] => [3,2,1,2,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[3,2,2,1,2,1] => [3,2,2,1,2,1] => [3,2,2,2,1,1] => 101110110 => 11
[3,2,2,2,1,1] => [3,2,2,2,1,1] => [3,2,2,2,1,1] => 101110110 => 11
[1,1,2,2,3,3] => [1,1,2,2,3,3] => [3,3,2,2,1,1] => 110110110 => 12
[1,1,2,3,2,3] => [1,1,2,3,2,3] => [3,3,2,2,1,1] => 110110110 => 12
[1,1,3,2,2,3] => [1,1,3,2,2,3] => [3,3,2,2,1,1] => 110110110 => 12
[1,1,3,3,2,2] => [1,1,3,3,2,2] => [3,3,2,2,1,1] => 110110110 => 12
[1,2,2,3,3,1] => [1,2,2,3,3,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,2,3,2,3,1] => [1,2,3,2,3,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,2,3,3,2,1] => [1,2,3,3,2,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,3,2,2,3,1] => [1,3,2,2,3,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,3,2,3,2,1] => [1,3,2,3,2,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,3,3,2,2,1] => [1,3,3,2,2,1] => [3,3,2,2,1,1] => 110110110 => 12
[2,1,1,2,3,3] => [2,1,1,2,3,3] => [3,3,2,2,1,1] => 110110110 => 12
[2,1,3,2,1,3] => [2,1,3,2,1,3] => [3,3,2,2,1,1] => 110110110 => 12
[2,1,3,3,1,2] => [2,1,3,3,1,2] => [3,3,2,2,1,1] => 110110110 => 12
[2,2,1,1,3,3] => [2,2,1,1,3,3] => [3,3,2,2,1,1] => 110110110 => 12
[2,2,3,1,1,3] => [2,2,3,1,1,3] => [3,3,2,2,1,1] => 110110110 => 12
[2,2,3,3,1,1] => [2,2,3,3,1,1] => [3,3,2,2,1,1] => 110110110 => 12
[3,1,1,2,2,3] => [3,1,1,2,2,3] => [3,3,2,2,1,1] => 110110110 => 12
[3,1,1,3,2,2] => [3,1,1,3,2,2] => [3,3,2,2,1,1] => 110110110 => 12
[3,1,2,2,1,3] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 110110110 => 12
[3,1,2,3,1,2] => [3,1,2,3,1,2] => [3,3,2,2,1,1] => 110110110 => 12
[3,2,1,1,2,3] => [3,2,1,1,2,3] => [3,3,2,2,1,1] => 110110110 => 12
[3,2,2,1,1,3] => [3,2,2,1,1,3] => [3,3,2,2,1,1] => 110110110 => 12
[3,2,2,3,1,1] => [3,2,2,3,1,1] => [3,3,2,2,1,1] => 110110110 => 12
[3,3,1,1,2,2] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 110110110 => 12
[3,3,2,1,1,2] => [3,3,2,1,1,2] => [3,3,2,2,1,1] => 110110110 => 12
[3,3,2,2,1,1] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 110110110 => 12
[1,2,2,2,2,2] => [1,2,2,2,2,2] => [2,2,2,2,2,1] => 11111010 => 11
[2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,2,1] => 11111010 => 11
[1,2,2,2,2,3] => [1,2,2,2,2,3] => [3,2,2,2,2,1] => 101111010 => 12
[1,2,2,2,3,2] => [1,2,2,2,3,2] => [3,2,2,2,2,1] => 101111010 => 12
[1,2,2,3,2,2] => [1,2,2,3,2,2] => [3,2,2,2,2,1] => 101111010 => 12
[1,2,3,2,2,2] => [1,2,3,2,2,2] => [3,2,2,2,2,1] => 101111010 => 12
[1,3,2,2,2,2] => [1,3,2,2,2,2] => [3,2,2,2,2,1] => 101111010 => 12
[2,1,2,2,2,3] => [2,1,2,2,2,3] => [3,2,2,2,2,1] => 101111010 => 12
[2,1,2,3,2,2] => [2,1,2,3,2,2] => [3,2,2,2,2,1] => 101111010 => 12
[2,2,2,1,2,3] => [2,2,2,1,2,3] => [3,2,2,2,2,1] => 101111010 => 12
[2,2,2,2,3,1] => [2,2,2,2,3,1] => [3,2,2,2,2,1] => 101111010 => 12
[2,2,2,3,2,1] => [2,2,2,3,2,1] => [3,2,2,2,2,1] => 101111010 => 12
[2,2,3,2,1,2] => [2,2,3,2,1,2] => [3,2,2,2,2,1] => 101111010 => 12
[2,2,3,2,2,1] => [2,2,3,2,2,1] => [3,2,2,2,2,1] => 101111010 => 12
[2,3,2,2,2,1] => [2,3,2,2,2,1] => [3,2,2,2,2,1] => 101111010 => 12
[3,2,1,2,2,2] => [3,2,1,2,2,2] => [3,2,2,2,2,1] => 101111010 => 12
[3,2,2,2,1,2] => [3,2,2,2,1,2] => [3,2,2,2,2,1] => 101111010 => 12
[3,2,2,2,2,1] => [3,2,2,2,2,1] => [3,2,2,2,2,1] => 101111010 => 12
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Description
The number of inversions of a binary word.
Map
to binary word
Description
Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0.
Map
to composition
Description
Return the parking function interpreted as an integer composition.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.