Processing math: 100%

Identifier
Values
[3,2,1] => 101 => [1,1,1] => [3] => 1
[3,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[5,2,1] => 101 => [1,1,1] => [3] => 1
[3,2,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[3,2,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[5,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[4,3,2] => 010 => [1,1,1] => [3] => 1
[3,3,2,1] => 1101 => [2,1,1] => [1,2] => 0
[3,2,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[3,2,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[7,2,1] => 101 => [1,1,1] => [3] => 1
[5,4,1] => 101 => [1,1,1] => [3] => 1
[5,2,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[5,2,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[4,3,2,1] => 0101 => [1,1,1,1] => [4] => 1
[3,3,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[3,2,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[3,2,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[3,2,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[7,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[6,3,2] => 010 => [1,1,1] => [3] => 1
[5,4,1,1] => 1011 => [1,1,2] => [2,1] => 0
[5,3,2,1] => 1101 => [2,1,1] => [1,2] => 0
[5,2,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[5,2,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[4,3,2,2] => 0100 => [1,1,2] => [2,1] => 0
[4,3,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[3,3,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[3,3,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[3,2,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[3,2,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[3,2,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[9,2,1] => 101 => [1,1,1] => [3] => 1
[7,4,1] => 101 => [1,1,1] => [3] => 1
[7,2,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[7,2,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[6,3,2,1] => 0101 => [1,1,1,1] => [4] => 1
[5,4,3] => 101 => [1,1,1] => [3] => 1
[5,4,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[5,4,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[5,3,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[5,2,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[5,2,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[5,2,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[4,3,3,2] => 0110 => [1,2,1] => [1,1,1] => 1
[4,3,2,2,1] => 01001 => [1,1,2,1] => [2,1,1] => 1
[4,3,2,1,1,1] => 010111 => [1,1,1,3] => [3,1] => 0
[3,3,3,2,1] => 11101 => [3,1,1] => [1,2] => 0
[3,3,2,2,1,1] => 110011 => [2,2,2] => [3] => 1
[3,3,2,1,1,1,1] => 1101111 => [2,1,4] => [1,1,1] => 1
[3,2,2,2,2,1] => 100001 => [1,4,1] => [1,1,1] => 1
[3,2,2,2,1,1,1] => 1000111 => [1,3,3] => [1,2] => 0
[3,2,2,1,1,1,1,1] => 10011111 => [1,2,5] => [1,1,1] => 1
[3,2,1,1,1,1,1,1,1] => 101111111 => [1,1,7] => [2,1] => 0
[9,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[8,3,2] => 010 => [1,1,1] => [3] => 1
[7,4,1,1] => 1011 => [1,1,2] => [2,1] => 0
[7,3,2,1] => 1101 => [2,1,1] => [1,2] => 0
[7,2,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[7,2,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[6,5,2] => 010 => [1,1,1] => [3] => 1
[6,3,2,2] => 0100 => [1,1,2] => [2,1] => 0
[6,3,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[5,5,2,1] => 1101 => [2,1,1] => [1,2] => 0
[5,4,3,1] => 1011 => [1,1,2] => [2,1] => 0
[5,4,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[5,4,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[5,3,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[5,3,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[5,2,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[5,2,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[5,2,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[4,4,3,2] => 0010 => [2,1,1] => [1,2] => 0
[4,3,3,2,1] => 01101 => [1,2,1,1] => [1,1,2] => 1
[4,3,2,2,2] => 01000 => [1,1,3] => [2,1] => 0
[4,3,2,2,1,1] => 010011 => [1,1,2,2] => [2,2] => 1
[4,3,2,1,1,1,1] => 0101111 => [1,1,1,4] => [3,1] => 0
[3,3,3,2,1,1] => 111011 => [3,1,2] => [1,1,1] => 1
[3,3,2,2,2,1] => 110001 => [2,3,1] => [1,1,1] => 1
[3,3,2,2,1,1,1] => 1100111 => [2,2,3] => [2,1] => 0
[3,3,2,1,1,1,1,1] => 11011111 => [2,1,5] => [1,1,1] => 1
[3,2,2,2,2,1,1] => 1000011 => [1,4,2] => [1,1,1] => 1
[3,2,2,2,1,1,1,1] => 10001111 => [1,3,4] => [1,1,1] => 1
[3,2,2,1,1,1,1,1,1] => 100111111 => [1,2,6] => [1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1] => 1011111111 => [1,1,8] => [2,1] => 0
[11,2,1] => 101 => [1,1,1] => [3] => 1
[9,4,1] => 101 => [1,1,1] => [3] => 1
[9,2,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[9,2,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[8,3,2,1] => 0101 => [1,1,1,1] => [4] => 1
[7,6,1] => 101 => [1,1,1] => [3] => 1
[7,4,3] => 101 => [1,1,1] => [3] => 1
[7,4,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[7,4,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[7,3,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[7,2,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[7,2,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[7,2,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[6,5,2,1] => 0101 => [1,1,1,1] => [4] => 1
[6,3,3,2] => 0110 => [1,2,1] => [1,1,1] => 1
[6,3,2,2,1] => 01001 => [1,1,2,1] => [2,1,1] => 1
>>> Load all 400 entries. <<<
[6,3,2,1,1,1] => 010111 => [1,1,1,3] => [3,1] => 0
[5,5,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[5,4,4,1] => 1001 => [1,2,1] => [1,1,1] => 1
[5,4,3,2] => 1010 => [1,1,1,1] => [4] => 1
[5,4,3,1,1] => 10111 => [1,1,3] => [2,1] => 0
[5,4,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[5,4,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[5,4,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[5,3,3,2,1] => 11101 => [3,1,1] => [1,2] => 0
[5,3,2,2,1,1] => 110011 => [2,2,2] => [3] => 1
[5,3,2,1,1,1,1] => 1101111 => [2,1,4] => [1,1,1] => 1
[5,2,2,2,2,1] => 100001 => [1,4,1] => [1,1,1] => 1
[5,2,2,2,1,1,1] => 1000111 => [1,3,3] => [1,2] => 0
[5,2,2,1,1,1,1,1] => 10011111 => [1,2,5] => [1,1,1] => 1
[5,2,1,1,1,1,1,1,1] => 101111111 => [1,1,7] => [2,1] => 0
[4,4,3,2,1] => 00101 => [2,1,1,1] => [1,3] => 0
[4,3,3,2,2] => 01100 => [1,2,2] => [1,2] => 0
[4,3,3,2,1,1] => 011011 => [1,2,1,2] => [1,1,1,1] => 0
[4,3,2,2,2,1] => 010001 => [1,1,3,1] => [2,1,1] => 1
[4,3,2,2,1,1,1] => 0100111 => [1,1,2,3] => [2,1,1] => 1
[4,3,2,1,1,1,1,1] => 01011111 => [1,1,1,5] => [3,1] => 0
[3,3,3,2,2,1] => 111001 => [3,2,1] => [1,1,1] => 1
[3,3,3,2,1,1,1] => 1110111 => [3,1,3] => [1,1,1] => 1
[3,3,2,2,2,1,1] => 1100011 => [2,3,2] => [1,1,1] => 1
[3,3,2,2,1,1,1,1] => 11001111 => [2,2,4] => [2,1] => 0
[3,3,2,1,1,1,1,1,1] => 110111111 => [2,1,6] => [1,1,1] => 1
[3,2,2,2,2,2,1] => 1000001 => [1,5,1] => [1,1,1] => 1
[3,2,2,2,2,1,1,1] => 10000111 => [1,4,3] => [1,1,1] => 1
[3,2,2,2,1,1,1,1,1] => 100011111 => [1,3,5] => [1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1] => 10111111111 => [1,1,9] => [2,1] => 0
[11,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[10,3,2] => 010 => [1,1,1] => [3] => 1
[9,4,1,1] => 1011 => [1,1,2] => [2,1] => 0
[9,3,2,1] => 1101 => [2,1,1] => [1,2] => 0
[9,2,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[9,2,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[8,5,2] => 010 => [1,1,1] => [3] => 1
[8,3,2,2] => 0100 => [1,1,2] => [2,1] => 0
[8,3,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[7,6,1,1] => 1011 => [1,1,2] => [2,1] => 0
[7,5,2,1] => 1101 => [2,1,1] => [1,2] => 0
[7,4,3,1] => 1011 => [1,1,2] => [2,1] => 0
[7,4,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[7,4,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[7,3,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[7,3,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[7,2,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[7,2,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[7,2,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[6,5,4] => 010 => [1,1,1] => [3] => 1
[6,5,2,2] => 0100 => [1,1,2] => [2,1] => 0
[6,5,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[6,4,3,2] => 0010 => [2,1,1] => [1,2] => 0
[6,3,3,2,1] => 01101 => [1,2,1,1] => [1,1,2] => 1
[6,3,2,2,2] => 01000 => [1,1,3] => [2,1] => 0
[6,3,2,2,1,1] => 010011 => [1,1,2,2] => [2,2] => 1
[6,3,2,1,1,1,1] => 0101111 => [1,1,1,4] => [3,1] => 0
[5,5,4,1] => 1101 => [2,1,1] => [1,2] => 0
[5,5,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[5,5,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[5,4,4,1,1] => 10011 => [1,2,2] => [1,2] => 0
[5,4,3,3] => 1011 => [1,1,2] => [2,1] => 0
[5,4,3,2,1] => 10101 => [1,1,1,1,1] => [5] => 1
[5,4,3,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[5,4,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[5,4,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[5,4,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[5,3,3,2,1,1] => 111011 => [3,1,2] => [1,1,1] => 1
[5,3,2,2,2,1] => 110001 => [2,3,1] => [1,1,1] => 1
[5,3,2,2,1,1,1] => 1100111 => [2,2,3] => [2,1] => 0
[5,3,2,1,1,1,1,1] => 11011111 => [2,1,5] => [1,1,1] => 1
[5,2,2,2,2,1,1] => 1000011 => [1,4,2] => [1,1,1] => 1
[5,2,2,2,1,1,1,1] => 10001111 => [1,3,4] => [1,1,1] => 1
[5,2,2,1,1,1,1,1,1] => 100111111 => [1,2,6] => [1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1] => 1011111111 => [1,1,8] => [2,1] => 0
[4,4,3,2,2] => 00100 => [2,1,2] => [1,1,1] => 1
[4,4,3,2,1,1] => 001011 => [2,1,1,2] => [1,2,1] => 2
[4,3,3,3,2] => 01110 => [1,3,1] => [1,1,1] => 1
[4,3,3,2,2,1] => 011001 => [1,2,2,1] => [1,2,1] => 2
[4,3,3,2,1,1,1] => 0110111 => [1,2,1,3] => [1,1,1,1] => 0
[4,3,2,2,2,2] => 010000 => [1,1,4] => [2,1] => 0
[4,3,2,2,2,1,1] => 0100011 => [1,1,3,2] => [2,1,1] => 1
[4,3,2,2,1,1,1,1] => 01001111 => [1,1,2,4] => [2,1,1] => 1
[4,3,2,1,1,1,1,1,1] => 010111111 => [1,1,1,6] => [3,1] => 0
[3,3,3,3,2,1] => 111101 => [4,1,1] => [1,2] => 0
[3,3,3,2,2,1,1] => 1110011 => [3,2,2] => [1,2] => 0
[3,3,3,2,1,1,1,1] => 11101111 => [3,1,4] => [1,1,1] => 1
[3,3,2,2,2,2,1] => 1100001 => [2,4,1] => [1,1,1] => 1
[3,3,2,2,2,1,1,1] => 11000111 => [2,3,3] => [1,2] => 0
[3,3,2,2,1,1,1,1,1] => 110011111 => [2,2,5] => [2,1] => 0
[3,3,2,1,1,1,1,1,1,1] => 1101111111 => [2,1,7] => [1,1,1] => 1
[3,2,2,2,2,2,1,1] => 10000011 => [1,5,2] => [1,1,1] => 1
[3,2,2,2,2,1,1,1,1] => 100001111 => [1,4,4] => [1,2] => 0
[13,2,1] => 101 => [1,1,1] => [3] => 1
[11,4,1] => 101 => [1,1,1] => [3] => 1
[11,2,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[11,2,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[10,3,2,1] => 0101 => [1,1,1,1] => [4] => 1
[9,6,1] => 101 => [1,1,1] => [3] => 1
[9,4,3] => 101 => [1,1,1] => [3] => 1
[9,4,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[9,4,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[9,3,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[9,2,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[9,2,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[9,2,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[8,5,2,1] => 0101 => [1,1,1,1] => [4] => 1
[8,3,3,2] => 0110 => [1,2,1] => [1,1,1] => 1
[8,3,2,2,1] => 01001 => [1,1,2,1] => [2,1,1] => 1
[8,3,2,1,1,1] => 010111 => [1,1,1,3] => [3,1] => 0
[7,6,3] => 101 => [1,1,1] => [3] => 1
[7,6,2,1] => 1001 => [1,2,1] => [1,1,1] => 1
[7,6,1,1,1] => 10111 => [1,1,3] => [2,1] => 0
[7,5,2,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[7,4,4,1] => 1001 => [1,2,1] => [1,1,1] => 1
[7,4,3,2] => 1010 => [1,1,1,1] => [4] => 1
[7,4,3,1,1] => 10111 => [1,1,3] => [2,1] => 0
[7,4,2,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[7,4,2,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[7,4,1,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[7,3,3,2,1] => 11101 => [3,1,1] => [1,2] => 0
[7,3,2,2,1,1] => 110011 => [2,2,2] => [3] => 1
[7,3,2,1,1,1,1] => 1101111 => [2,1,4] => [1,1,1] => 1
[7,2,2,2,2,1] => 100001 => [1,4,1] => [1,1,1] => 1
[7,2,2,2,1,1,1] => 1000111 => [1,3,3] => [1,2] => 0
[7,2,2,1,1,1,1,1] => 10011111 => [1,2,5] => [1,1,1] => 1
[7,2,1,1,1,1,1,1,1] => 101111111 => [1,1,7] => [2,1] => 0
[6,5,4,1] => 0101 => [1,1,1,1] => [4] => 1
[6,5,3,2] => 0110 => [1,2,1] => [1,1,1] => 1
[6,5,2,2,1] => 01001 => [1,1,2,1] => [2,1,1] => 1
[6,5,2,1,1,1] => 010111 => [1,1,1,3] => [3,1] => 0
[6,4,3,2,1] => 00101 => [2,1,1,1] => [1,3] => 0
[6,3,3,2,2] => 01100 => [1,2,2] => [1,2] => 0
[6,3,3,2,1,1] => 011011 => [1,2,1,2] => [1,1,1,1] => 0
[6,3,2,2,2,1] => 010001 => [1,1,3,1] => [2,1,1] => 1
[6,3,2,2,1,1,1] => 0100111 => [1,1,2,3] => [2,1,1] => 1
[6,3,2,1,1,1,1,1] => 01011111 => [1,1,1,5] => [3,1] => 0
[5,5,4,1,1] => 11011 => [2,1,2] => [1,1,1] => 1
[5,5,3,2,1] => 11101 => [3,1,1] => [1,2] => 0
[5,5,2,2,1,1] => 110011 => [2,2,2] => [3] => 1
[5,5,2,1,1,1,1] => 1101111 => [2,1,4] => [1,1,1] => 1
[5,4,4,3] => 1001 => [1,2,1] => [1,1,1] => 1
[5,4,4,2,1] => 10001 => [1,3,1] => [1,1,1] => 1
[5,4,4,1,1,1] => 100111 => [1,2,3] => [1,1,1] => 1
[5,4,3,3,1] => 10111 => [1,1,3] => [2,1] => 0
[5,4,3,2,2] => 10100 => [1,1,1,2] => [3,1] => 0
[5,4,3,2,1,1] => 101011 => [1,1,1,1,2] => [4,1] => 0
[5,4,3,1,1,1,1] => 1011111 => [1,1,5] => [2,1] => 0
[5,4,2,2,2,1] => 100001 => [1,4,1] => [1,1,1] => 1
[5,4,2,2,1,1,1] => 1000111 => [1,3,3] => [1,2] => 0
[5,4,2,1,1,1,1,1] => 10011111 => [1,2,5] => [1,1,1] => 1
[5,4,1,1,1,1,1,1,1] => 101111111 => [1,1,7] => [2,1] => 0
[5,3,3,2,2,1] => 111001 => [3,2,1] => [1,1,1] => 1
[5,3,3,2,1,1,1] => 1110111 => [3,1,3] => [1,1,1] => 1
[5,3,2,2,2,1,1] => 1100011 => [2,3,2] => [1,1,1] => 1
[5,3,2,2,1,1,1,1] => 11001111 => [2,2,4] => [2,1] => 0
[5,3,2,1,1,1,1,1,1] => 110111111 => [2,1,6] => [1,1,1] => 1
[5,2,2,2,2,2,1] => 1000001 => [1,5,1] => [1,1,1] => 1
[5,2,2,2,2,1,1,1] => 10000111 => [1,4,3] => [1,1,1] => 1
[5,2,2,2,1,1,1,1,1] => 100011111 => [1,3,5] => [1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1,1] => 10111111111 => [1,1,9] => [2,1] => 0
[4,4,3,3,2] => 00110 => [2,2,1] => [2,1] => 0
[4,4,3,2,2,1] => 001001 => [2,1,2,1] => [1,1,1,1] => 0
[4,4,3,2,1,1,1] => 0010111 => [2,1,1,3] => [1,2,1] => 2
[4,3,3,3,2,1] => 011101 => [1,3,1,1] => [1,1,2] => 1
[4,3,3,2,2,2] => 011000 => [1,2,3] => [1,1,1] => 1
[4,3,3,2,2,1,1] => 0110011 => [1,2,2,2] => [1,3] => 0
[4,3,3,2,1,1,1,1] => 01101111 => [1,2,1,4] => [1,1,1,1] => 0
[4,3,2,2,2,2,1] => 0100001 => [1,1,4,1] => [2,1,1] => 1
[4,3,2,2,2,1,1,1] => 01000111 => [1,1,3,3] => [2,2] => 1
[4,3,2,2,1,1,1,1,1] => 010011111 => [1,1,2,5] => [2,1,1] => 1
[4,3,2,1,1,1,1,1,1,1] => 0101111111 => [1,1,1,7] => [3,1] => 0
[3,3,3,3,2,1,1] => 1111011 => [4,1,2] => [1,1,1] => 1
[3,3,3,2,2,2,1] => 1110001 => [3,3,1] => [2,1] => 0
[3,3,3,2,2,1,1,1] => 11100111 => [3,2,3] => [1,1,1] => 1
[3,3,3,2,1,1,1,1,1] => 111011111 => [3,1,5] => [1,1,1] => 1
[3,3,2,2,2,2,1,1] => 11000011 => [2,4,2] => [1,1,1] => 1
[3,3,2,2,2,1,1,1,1] => 110001111 => [2,3,4] => [1,1,1] => 1
[3,3,2,2,1,1,1,1,1,1] => 1100111111 => [2,2,6] => [2,1] => 0
[3,2,2,2,2,2,2,1] => 10000001 => [1,6,1] => [1,1,1] => 1
[3,2,2,2,2,2,1,1,1] => 100000111 => [1,5,3] => [1,1,1] => 1
[3,2,2,2,2,1,1,1,1,1] => 1000011111 => [1,4,5] => [1,1,1] => 1
[13,2,1,1] => 1011 => [1,1,2] => [2,1] => 0
[12,3,2] => 010 => [1,1,1] => [3] => 1
[11,4,1,1] => 1011 => [1,1,2] => [2,1] => 0
[11,3,2,1] => 1101 => [2,1,1] => [1,2] => 0
[11,2,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[11,2,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[10,5,2] => 010 => [1,1,1] => [3] => 1
[10,3,2,2] => 0100 => [1,1,2] => [2,1] => 0
[10,3,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[9,6,1,1] => 1011 => [1,1,2] => [2,1] => 0
[9,5,2,1] => 1101 => [2,1,1] => [1,2] => 0
[9,4,3,1] => 1011 => [1,1,2] => [2,1] => 0
[9,4,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[9,4,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[9,3,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[9,3,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[9,2,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[9,2,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[9,2,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[8,7,2] => 010 => [1,1,1] => [3] => 1
[8,5,4] => 010 => [1,1,1] => [3] => 1
[8,5,2,2] => 0100 => [1,1,2] => [2,1] => 0
[8,5,2,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[8,4,3,2] => 0010 => [2,1,1] => [1,2] => 0
[8,3,3,2,1] => 01101 => [1,2,1,1] => [1,1,2] => 1
[8,3,2,2,2] => 01000 => [1,1,3] => [2,1] => 0
[8,3,2,2,1,1] => 010011 => [1,1,2,2] => [2,2] => 1
[8,3,2,1,1,1,1] => 0101111 => [1,1,1,4] => [3,1] => 0
[7,7,2,1] => 1101 => [2,1,1] => [1,2] => 0
[7,6,3,1] => 1011 => [1,1,2] => [2,1] => 0
[7,6,2,1,1] => 10011 => [1,2,2] => [1,2] => 0
[7,6,1,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[7,5,4,1] => 1101 => [2,1,1] => [1,2] => 0
[7,5,2,2,1] => 11001 => [2,2,1] => [2,1] => 0
[7,5,2,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[7,4,4,1,1] => 10011 => [1,2,2] => [1,2] => 0
[7,4,3,3] => 1011 => [1,1,2] => [2,1] => 0
[7,4,3,2,1] => 10101 => [1,1,1,1,1] => [5] => 1
[7,4,3,1,1,1] => 101111 => [1,1,4] => [2,1] => 0
[7,4,2,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[7,4,2,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[7,4,1,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[7,3,3,2,1,1] => 111011 => [3,1,2] => [1,1,1] => 1
[7,3,2,2,2,1] => 110001 => [2,3,1] => [1,1,1] => 1
[7,3,2,2,1,1,1] => 1100111 => [2,2,3] => [2,1] => 0
[7,3,2,1,1,1,1,1] => 11011111 => [2,1,5] => [1,1,1] => 1
[7,2,2,2,2,1,1] => 1000011 => [1,4,2] => [1,1,1] => 1
[7,2,2,2,1,1,1,1] => 10001111 => [1,3,4] => [1,1,1] => 1
[7,2,2,1,1,1,1,1,1] => 100111111 => [1,2,6] => [1,1,1] => 1
[7,2,1,1,1,1,1,1,1,1] => 1011111111 => [1,1,8] => [2,1] => 0
[6,6,3,2] => 0010 => [2,1,1] => [1,2] => 0
[6,5,4,2] => 0100 => [1,1,2] => [2,1] => 0
[6,5,4,1,1] => 01011 => [1,1,1,2] => [3,1] => 0
[6,5,3,2,1] => 01101 => [1,2,1,1] => [1,1,2] => 1
[6,5,2,2,2] => 01000 => [1,1,3] => [2,1] => 0
[6,5,2,2,1,1] => 010011 => [1,1,2,2] => [2,2] => 1
[6,5,2,1,1,1,1] => 0101111 => [1,1,1,4] => [3,1] => 0
[6,4,3,2,2] => 00100 => [2,1,2] => [1,1,1] => 1
[6,4,3,2,1,1] => 001011 => [2,1,1,2] => [1,2,1] => 2
[6,3,3,3,2] => 01110 => [1,3,1] => [1,1,1] => 1
[6,3,3,2,2,1] => 011001 => [1,2,2,1] => [1,2,1] => 2
[6,3,3,2,1,1,1] => 0110111 => [1,2,1,3] => [1,1,1,1] => 0
[6,3,2,2,2,2] => 010000 => [1,1,4] => [2,1] => 0
[6,3,2,2,2,1,1] => 0100011 => [1,1,3,2] => [2,1,1] => 1
[6,3,2,2,1,1,1,1] => 01001111 => [1,1,2,4] => [2,1,1] => 1
[6,3,2,1,1,1,1,1,1] => 010111111 => [1,1,1,6] => [3,1] => 0
[5,5,4,3] => 1101 => [2,1,1] => [1,2] => 0
[5,5,4,2,1] => 11001 => [2,2,1] => [2,1] => 0
[5,5,4,1,1,1] => 110111 => [2,1,3] => [1,1,1] => 1
[5,5,3,2,1,1] => 111011 => [3,1,2] => [1,1,1] => 1
[5,5,2,2,2,1] => 110001 => [2,3,1] => [1,1,1] => 1
[5,5,2,2,1,1,1] => 1100111 => [2,2,3] => [2,1] => 0
[5,5,2,1,1,1,1,1] => 11011111 => [2,1,5] => [1,1,1] => 1
[5,4,4,3,1] => 10011 => [1,2,2] => [1,2] => 0
[5,4,4,2,1,1] => 100011 => [1,3,2] => [1,1,1] => 1
[5,4,4,1,1,1,1] => 1001111 => [1,2,4] => [1,1,1] => 1
[5,4,3,3,2] => 10110 => [1,1,2,1] => [2,1,1] => 1
[5,4,3,3,1,1] => 101111 => [1,1,4] => [2,1] => 0
[5,4,3,2,2,1] => 101001 => [1,1,1,2,1] => [3,1,1] => 2
[5,4,3,2,1,1,1] => 1010111 => [1,1,1,1,3] => [4,1] => 0
[5,4,3,1,1,1,1,1] => 10111111 => [1,1,6] => [2,1] => 0
[5,4,2,2,2,1,1] => 1000011 => [1,4,2] => [1,1,1] => 1
[5,4,2,2,1,1,1,1] => 10001111 => [1,3,4] => [1,1,1] => 1
[5,4,2,1,1,1,1,1,1] => 100111111 => [1,2,6] => [1,1,1] => 1
[5,4,1,1,1,1,1,1,1,1] => 1011111111 => [1,1,8] => [2,1] => 0
[5,3,3,3,2,1] => 111101 => [4,1,1] => [1,2] => 0
[5,3,3,2,2,1,1] => 1110011 => [3,2,2] => [1,2] => 0
[5,3,3,2,1,1,1,1] => 11101111 => [3,1,4] => [1,1,1] => 1
[5,3,2,2,2,2,1] => 1100001 => [2,4,1] => [1,1,1] => 1
[5,3,2,2,2,1,1,1] => 11000111 => [2,3,3] => [1,2] => 0
[5,3,2,2,1,1,1,1,1] => 110011111 => [2,2,5] => [2,1] => 0
[5,3,2,1,1,1,1,1,1,1] => 1101111111 => [2,1,7] => [1,1,1] => 1
[5,2,2,2,2,2,1,1] => 10000011 => [1,5,2] => [1,1,1] => 1
[5,2,2,2,2,1,1,1,1] => 100001111 => [1,4,4] => [1,2] => 0
[4,4,4,3,2] => 00010 => [3,1,1] => [1,2] => 0
[4,4,3,3,2,1] => 001101 => [2,2,1,1] => [2,2] => 1
[4,4,3,2,2,2] => 001000 => [2,1,3] => [1,1,1] => 1
[4,4,3,2,2,1,1] => 0010011 => [2,1,2,2] => [1,1,2] => 1
[4,4,3,2,1,1,1,1] => 00101111 => [2,1,1,4] => [1,2,1] => 2
[4,3,3,3,2,2] => 011100 => [1,3,2] => [1,1,1] => 1
[4,3,3,3,2,1,1] => 0111011 => [1,3,1,2] => [1,1,1,1] => 0
[4,3,3,2,2,2,1] => 0110001 => [1,2,3,1] => [1,1,1,1] => 0
[4,3,3,2,2,1,1,1] => 01100111 => [1,2,2,3] => [1,2,1] => 2
[4,3,3,2,1,1,1,1,1] => 011011111 => [1,2,1,5] => [1,1,1,1] => 0
[4,3,2,2,2,2,2] => 0100000 => [1,1,5] => [2,1] => 0
[4,3,2,2,2,2,1,1] => 01000011 => [1,1,4,2] => [2,1,1] => 1
[4,3,2,2,2,1,1,1,1] => 010001111 => [1,1,3,4] => [2,1,1] => 1
[4,3,2,2,1,1,1,1,1,1] => 0100111111 => [1,1,2,6] => [2,1,1] => 1
[3,3,3,3,2,2,1] => 1111001 => [4,2,1] => [1,1,1] => 1
[3,3,3,3,2,1,1,1] => 11110111 => [4,1,3] => [1,1,1] => 1
[3,3,3,2,2,2,1,1] => 11100011 => [3,3,2] => [2,1] => 0
[3,3,3,2,2,1,1,1,1] => 111001111 => [3,2,4] => [1,1,1] => 1
[3,3,3,2,1,1,1,1,1,1] => 1110111111 => [3,1,6] => [1,1,1] => 1
[3,3,2,2,2,2,2,1] => 11000001 => [2,5,1] => [1,1,1] => 1
[3,3,2,2,2,2,1,1,1] => 110000111 => [2,4,3] => [1,1,1] => 1
[3,2,2,2,2,2,2,1,1] => 100000011 => [1,6,2] => [1,1,1] => 1
[3,2,2,2,2,2,1,1,1,1] => 1000001111 => [1,5,4] => [1,1,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The coefficient of the integer composition in the quasisymmetric expansion of the relabelling action of the symmetric group on cycles.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word w is the integer compositions composed of the lengths of consecutive runs of the same letter in w.
Map
delta morphism
Description
Apply the delta morphism to an integer composition.
The delta morphism of a composition C is the compositions composed of the lengths of consecutive runs of the same integer in C.
Map
odd parts
Description
Return the binary word indicating which parts of the partition are odd.