Identifier
Mp00095: Integer partitions —to binary word⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
[1] => 10 => 01 => 10
[2] => 100 => 001 => 110
[1,1] => 110 => 011 => 100
[3] => 1000 => 0001 => 1110
[2,1] => 1010 => 0101 => 1010
[1,1,1] => 1110 => 0111 => 1000
[4] => 10000 => 00001 => 11110
[3,1] => 10010 => 01001 => 10110
[2,2] => 1100 => 0011 => 1100
[2,1,1] => 10110 => 01101 => 10010
[1,1,1,1] => 11110 => 01111 => 10000
[5] => 100000 => 000001 => 111110
[4,1] => 100010 => 010001 => 101110
[3,2] => 10100 => 00101 => 11010
[3,1,1] => 100110 => 011001 => 100110
[2,2,1] => 11010 => 01011 => 10100
[2,1,1,1] => 101110 => 011101 => 100010
[1,1,1,1,1] => 111110 => 011111 => 100000
[6] => 1000000 => 0000001 => 1111110
[5,1] => 1000010 => 0100001 => 1011110
[4,2] => 100100 => 001001 => 110110
[4,1,1] => 1000110 => 0110001 => 1001110
[3,3] => 11000 => 00011 => 11100
[3,2,1] => 101010 => 010101 => 101010
[3,1,1,1] => 1001110 => 0111001 => 1000110
[2,2,2] => 11100 => 00111 => 11000
[2,2,1,1] => 110110 => 011011 => 100100
[2,1,1,1,1] => 1011110 => 0111101 => 1000010
[1,1,1,1,1,1] => 1111110 => 0111111 => 1000000
[7] => 10000000 => 00000001 => 11111110
[6,1] => 10000010 => 01000001 => 10111110
[5,2] => 1000100 => 0010001 => 1101110
[5,1,1] => 10000110 => 01100001 => 10011110
[4,3] => 101000 => 000101 => 111010
[4,2,1] => 1001010 => 0101001 => 1010110
[4,1,1,1] => 10001110 => 01110001 => 10001110
[3,3,1] => 110010 => 010011 => 101100
[3,2,2] => 101100 => 001101 => 110010
[3,2,1,1] => 1010110 => 0110101 => 1001010
[3,1,1,1,1] => 10011110 => 01111001 => 10000110
[2,2,2,1] => 111010 => 010111 => 101000
[2,2,1,1,1] => 1101110 => 0111011 => 1000100
[2,1,1,1,1,1] => 10111110 => 01111101 => 10000010
[1,1,1,1,1,1,1] => 11111110 => 01111111 => 10000000
[8] => 100000000 => 000000001 => 111111110
[7,1] => 100000010 => 010000001 => 101111110
[6,2] => 10000100 => 00100001 => 11011110
[6,1,1] => 100000110 => 011000001 => 100111110
[5,3] => 1001000 => 0001001 => 1110110
[5,2,1] => 10001010 => 01010001 => 10101110
[5,1,1,1] => 100001110 => 011100001 => 100011110
[4,4] => 110000 => 000011 => 111100
[4,3,1] => 1010010 => 0100101 => 1011010
[4,2,2] => 1001100 => 0011001 => 1100110
[4,2,1,1] => 10010110 => 01101001 => 10010110
[4,1,1,1,1] => 100011110 => 011110001 => 100001110
[3,3,2] => 110100 => 001011 => 110100
[3,3,1,1] => 1100110 => 0110011 => 1001100
[3,2,2,1] => 1011010 => 0101101 => 1010010
[3,2,1,1,1] => 10101110 => 01110101 => 10001010
[3,1,1,1,1,1] => 100111110 => 011111001 => 100000110
[2,2,2,2] => 111100 => 001111 => 110000
[2,2,2,1,1] => 1110110 => 0110111 => 1001000
[2,2,1,1,1,1] => 11011110 => 01111011 => 10000100
[2,1,1,1,1,1,1] => 101111110 => 011111101 => 100000010
[1,1,1,1,1,1,1,1] => 111111110 => 011111111 => 100000000
[9] => 1000000000 => 0000000001 => 1111111110
[8,1] => 1000000010 => 0100000001 => 1011111110
[7,2] => 100000100 => 001000001 => 110111110
[7,1,1] => 1000000110 => 0110000001 => 1001111110
[6,3] => 10001000 => 00010001 => 11101110
[6,2,1] => 100001010 => 010100001 => 101011110
[6,1,1,1] => 1000001110 => 0111000001 => 1000111110
[5,4] => 1010000 => 0000101 => 1111010
[5,3,1] => 10010010 => 01001001 => 10110110
[5,2,2] => 10001100 => 00110001 => 11001110
[5,2,1,1] => 100010110 => 011010001 => 100101110
[5,1,1,1,1] => 1000011110 => 0111100001 => 1000011110
[4,4,1] => 1100010 => 0100011 => 1011100
[4,3,2] => 1010100 => 0010101 => 1101010
[4,3,1,1] => 10100110 => 01100101 => 10011010
[4,2,2,1] => 10011010 => 01011001 => 10100110
[4,2,1,1,1] => 100101110 => 011101001 => 100010110
[4,1,1,1,1,1] => 1000111110 => 0111110001 => 1000001110
[3,3,3] => 111000 => 000111 => 111000
[3,3,2,1] => 1101010 => 0101011 => 1010100
[3,3,1,1,1] => 11001110 => 01110011 => 10001100
[3,2,2,2] => 1011100 => 0011101 => 1100010
[3,2,2,1,1] => 10110110 => 01101101 => 10010010
[3,2,1,1,1,1] => 101011110 => 011110101 => 100001010
[3,1,1,1,1,1,1] => 1001111110 => 0111111001 => 1000000110
[2,2,2,2,1] => 1111010 => 0101111 => 1010000
[2,2,2,1,1,1] => 11101110 => 01110111 => 10001000
[2,2,1,1,1,1,1] => 110111110 => 011111011 => 100000100
[2,1,1,1,1,1,1,1] => 1011111110 => 0111111101 => 1000000010
[1,1,1,1,1,1,1,1,1] => 1111111110 => 0111111111 => 1000000000
[10] => 10000000000 => 00000000001 => 11111111110
[9,1] => 10000000010 => 01000000001 => 10111111110
[8,2] => 1000000100 => 0010000001 => 1101111110
[8,1,1] => 10000000110 => 01100000001 => 10011111110
[7,3] => 100001000 => 000100001 => 111011110
>>> Load all 695 entries. <<<
[7,2,1] => 1000001010 => 0101000001 => 1010111110
[7,1,1,1] => 10000001110 => 01110000001 => 10001111110
[6,4] => 10010000 => 00001001 => 11110110
[6,3,1] => 100010010 => 010010001 => 101101110
[6,2,2] => 100001100 => 001100001 => 110011110
[6,2,1,1] => 1000010110 => 0110100001 => 1001011110
[6,1,1,1,1] => 10000011110 => 01111000001 => 10000111110
[5,5] => 1100000 => 0000011 => 1111100
[5,4,1] => 10100010 => 01000101 => 10111010
[5,3,2] => 10010100 => 00101001 => 11010110
[5,3,1,1] => 100100110 => 011001001 => 100110110
[5,2,2,1] => 100011010 => 010110001 => 101001110
[5,2,1,1,1] => 1000101110 => 0111010001 => 1000101110
[5,1,1,1,1,1] => 10000111110 => 01111100001 => 10000011110
[4,4,2] => 1100100 => 0010011 => 1101100
[4,4,1,1] => 11000110 => 01100011 => 10011100
[4,3,3] => 1011000 => 0001101 => 1110010
[4,3,2,1] => 10101010 => 01010101 => 10101010
[4,3,1,1,1] => 101001110 => 011100101 => 100011010
[4,2,2,2] => 10011100 => 00111001 => 11000110
[4,2,2,1,1] => 100110110 => 011011001 => 100100110
[4,2,1,1,1,1] => 1001011110 => 0111101001 => 1000010110
[4,1,1,1,1,1,1] => 10001111110 => 01111110001 => 10000001110
[3,3,3,1] => 1110010 => 0100111 => 1011000
[3,3,2,2] => 1101100 => 0011011 => 1100100
[3,3,2,1,1] => 11010110 => 01101011 => 10010100
[3,3,1,1,1,1] => 110011110 => 011110011 => 100001100
[3,2,2,2,1] => 10111010 => 01011101 => 10100010
[3,2,2,1,1,1] => 101101110 => 011101101 => 100010010
[3,2,1,1,1,1,1] => 1010111110 => 0111110101 => 1000001010
[3,1,1,1,1,1,1,1] => 10011111110 => 01111111001 => 10000000110
[2,2,2,2,2] => 1111100 => 0011111 => 1100000
[2,2,2,2,1,1] => 11110110 => 01101111 => 10010000
[2,2,2,1,1,1,1] => 111011110 => 011110111 => 100001000
[2,2,1,1,1,1,1,1] => 1101111110 => 0111111011 => 1000000100
[2,1,1,1,1,1,1,1,1] => 10111111110 => 01111111101 => 10000000010
[1,1,1,1,1,1,1,1,1,1] => 11111111110 => 01111111111 => 10000000000
[11] => 100000000000 => 000000000001 => 111111111110
[10,1] => 100000000010 => 010000000001 => 101111111110
[9,2] => 10000000100 => 00100000001 => 11011111110
[8,3] => 1000001000 => 0001000001 => 1110111110
[8,2,1] => 10000001010 => 01010000001 => 10101111110
[7,4] => 100010000 => 000010001 => 111101110
[7,3,1] => 1000010010 => 0100100001 => 1011011110
[7,2,2] => 1000001100 => 0011000001 => 1100111110
[7,2,1,1] => 10000010110 => 01101000001 => 10010111110
[6,5] => 10100000 => 00000101 => 11111010
[6,4,1] => 100100010 => 010001001 => 101110110
[6,3,2] => 100010100 => 001010001 => 110101110
[6,3,1,1] => 1000100110 => 0110010001 => 1001101110
[6,2,2,1] => 1000011010 => 0101100001 => 1010011110
[6,2,1,1,1] => 10000101110 => 01110100001 => 10001011110
[6,1,1,1,1,1] => 100000111110 => 011111000001 => 100000111110
[5,5,1] => 11000010 => 01000011 => 10111100
[5,4,2] => 10100100 => 00100101 => 11011010
[5,4,1,1] => 101000110 => 011000101 => 100111010
[5,3,3] => 10011000 => 00011001 => 11100110
[5,3,2,1] => 100101010 => 010101001 => 101010110
[5,3,1,1,1] => 1001001110 => 0111001001 => 1000110110
[5,2,2,2] => 100011100 => 001110001 => 110001110
[5,2,2,1,1] => 1000110110 => 0110110001 => 1001001110
[5,2,1,1,1,1] => 10001011110 => 01111010001 => 10000101110
[5,1,1,1,1,1,1] => 100001111110 => 011111100001 => 100000011110
[4,4,3] => 1101000 => 0001011 => 1110100
[4,4,2,1] => 11001010 => 01010011 => 10101100
[4,4,1,1,1] => 110001110 => 011100011 => 100011100
[4,3,3,1] => 10110010 => 01001101 => 10110010
[4,3,2,2] => 10101100 => 00110101 => 11001010
[4,3,2,1,1] => 101010110 => 011010101 => 100101010
[4,3,1,1,1,1] => 1010011110 => 0111100101 => 1000011010
[4,2,2,2,1] => 100111010 => 010111001 => 101000110
[4,2,2,1,1,1] => 1001101110 => 0111011001 => 1000100110
[4,2,1,1,1,1,1] => 10010111110 => 01111101001 => 10000010110
[3,3,3,2] => 1110100 => 0010111 => 1101000
[3,3,3,1,1] => 11100110 => 01100111 => 10011000
[3,3,2,2,1] => 11011010 => 01011011 => 10100100
[3,3,2,1,1,1] => 110101110 => 011101011 => 100010100
[3,3,1,1,1,1,1] => 1100111110 => 0111110011 => 1000001100
[3,2,2,2,2] => 10111100 => 00111101 => 11000010
[3,2,2,2,1,1] => 101110110 => 011011101 => 100100010
[3,2,2,1,1,1,1] => 1011011110 => 0111101101 => 1000010010
[3,2,1,1,1,1,1,1] => 10101111110 => 01111110101 => 10000001010
[2,2,2,2,2,1] => 11111010 => 01011111 => 10100000
[2,2,2,2,1,1,1] => 111101110 => 011101111 => 100010000
[2,2,2,1,1,1,1,1] => 1110111110 => 0111110111 => 1000001000
[2,2,1,1,1,1,1,1,1] => 11011111110 => 01111111011 => 10000000100
[2,1,1,1,1,1,1,1,1,1] => 101111111110 => 011111111101 => 100000000010
[1,1,1,1,1,1,1,1,1,1,1] => 111111111110 => 011111111111 => 100000000000
[9,3] => 10000001000 => 00010000001 => 11101111110
[8,4] => 1000010000 => 0000100001 => 1111011110
[8,3,1] => 10000010010 => 01001000001 => 10110111110
[8,2,1,1] => 100000010110 => 011010000001 => 100101111110
[7,5] => 100100000 => 000001001 => 111110110
[7,4,1] => 1000100010 => 0100010001 => 1011101110
[7,3,2] => 1000010100 => 0010100001 => 1101011110
[7,3,1,1] => 10000100110 => 01100100001 => 10011011110
[7,2,2,1] => 10000011010 => 01011000001 => 10100111110
[6,6] => 11000000 => 00000011 => 11111100
[6,5,1] => 101000010 => 010000101 => 101111010
[6,4,2] => 100100100 => 001001001 => 110110110
[6,4,1,1] => 1001000110 => 0110001001 => 1001110110
[6,3,3] => 100011000 => 000110001 => 111001110
[6,3,2,1] => 1000101010 => 0101010001 => 1010101110
[6,3,1,1,1] => 10001001110 => 01110010001 => 10001101110
[6,2,2,1,1] => 10000110110 => 01101100001 => 10010011110
[6,2,1,1,1,1] => 100001011110 => 011110100001 => 100001011110
[5,5,2] => 11000100 => 00100011 => 11011100
[5,5,1,1] => 110000110 => 011000011 => 100111100
[5,4,3] => 10101000 => 00010101 => 11101010
[5,4,2,1] => 101001010 => 010100101 => 101011010
[5,4,1,1,1] => 1010001110 => 0111000101 => 1000111010
[5,3,3,1] => 100110010 => 010011001 => 101100110
[5,3,2,2] => 100101100 => 001101001 => 110010110
[5,3,2,1,1] => 1001010110 => 0110101001 => 1001010110
[5,2,2,2,1] => 1000111010 => 0101110001 => 1010001110
[5,2,1,1,1,1,1] => 100010111110 => 011111010001 => 100000101110
[4,4,4] => 1110000 => 0000111 => 1111000
[4,4,3,1] => 11010010 => 01001011 => 10110100
[4,4,2,2] => 11001100 => 00110011 => 11001100
[4,4,2,1,1] => 110010110 => 011010011 => 100101100
[4,4,1,1,1,1] => 1100011110 => 0111100011 => 1000011100
[4,3,3,2] => 10110100 => 00101101 => 11010010
[4,3,3,1,1] => 101100110 => 011001101 => 100110010
[4,3,2,2,1] => 101011010 => 010110101 => 101001010
[4,3,2,1,1,1] => 1010101110 => 0111010101 => 1000101010
[4,2,2,2,2] => 100111100 => 001111001 => 110000110
[4,2,2,2,1,1] => 1001110110 => 0110111001 => 1001000110
[4,2,1,1,1,1,1,1] => 100101111110 => 011111101001 => 100000010110
[3,3,3,3] => 1111000 => 0001111 => 1110000
[3,3,3,2,1] => 11101010 => 01010111 => 10101000
[3,3,3,1,1,1] => 111001110 => 011100111 => 100011000
[3,3,2,2,2] => 11011100 => 00111011 => 11000100
[3,3,2,2,1,1] => 110110110 => 011011011 => 100100100
[3,3,2,1,1,1,1] => 1101011110 => 0111101011 => 1000010100
[3,3,1,1,1,1,1,1] => 11001111110 => 01111110011 => 10000001100
[3,2,2,2,2,1] => 101111010 => 010111101 => 101000010
[3,2,2,2,1,1,1] => 1011101110 => 0111011101 => 1000100010
[3,2,2,1,1,1,1,1] => 10110111110 => 01111101101 => 10000010010
[2,2,2,2,2,2] => 11111100 => 00111111 => 11000000
[2,2,2,2,2,1,1] => 111110110 => 011011111 => 100100000
[2,2,2,2,1,1,1,1] => 1111011110 => 0111101111 => 1000010000
[2,2,2,1,1,1,1,1,1] => 11101111110 => 01111110111 => 10000001000
[2,2,1,1,1,1,1,1,1,1] => 110111111110 => 011111111011 => 100000000100
[10,3] => 100000001000 => 000100000001 => 111011111110
[9,4] => 10000010000 => 00001000001 => 11110111110
[8,5] => 1000100000 => 0000010001 => 1111101110
[8,4,1] => 10000100010 => 01000100001 => 10111011110
[8,3,2] => 10000010100 => 00101000001 => 11010111110
[7,6] => 101000000 => 000000101 => 111111010
[7,5,1] => 1001000010 => 0100001001 => 1011110110
[7,4,2] => 1000100100 => 0010010001 => 1101101110
[7,2,2,2] => 10000011100 => 00111000001 => 11000111110
[6,6,1] => 110000010 => 010000011 => 101111100
[6,5,2] => 101000100 => 001000101 => 110111010
[6,4,3] => 100101000 => 000101001 => 111010110
[6,4,2,1] => 1001001010 => 0101001001 => 1010110110
[6,3,3,1] => 1000110010 => 0100110001 => 1011001110
[6,3,2,2] => 1000101100 => 0011010001 => 1100101110
[6,3,1,1,1,1] => 100010011110 => 011110010001 => 100001101110
[6,2,2,1,1,1] => 100001101110 => 011101100001 => 100010011110
[5,5,3] => 11001000 => 00010011 => 11101100
[5,5,2,1] => 110001010 => 010100011 => 101011100
[5,5,1,1,1] => 1100001110 => 0111000011 => 1000111100
[5,4,4] => 10110000 => 00001101 => 11110010
[5,4,3,1] => 101010010 => 010010101 => 101101010
[5,4,2,2] => 101001100 => 001100101 => 110011010
[5,4,2,1,1] => 1010010110 => 0110100101 => 1001011010
[5,3,3,2] => 100110100 => 001011001 => 110100110
[5,3,3,1,1] => 1001100110 => 0110011001 => 1001100110
[5,3,2,2,1] => 1001011010 => 0101101001 => 1010010110
[5,3,2,1,1,1] => 10010101110 => 01110101001 => 10001010110
[5,3,1,1,1,1,1] => 100100111110 => 011111001001 => 100000110110
[5,2,2,2,2] => 1000111100 => 0011110001 => 1100001110
[5,2,2,1,1,1,1] => 100011011110 => 011110110001 => 100001001110
[4,4,4,1] => 11100010 => 01000111 => 10111000
[4,4,3,2] => 11010100 => 00101011 => 11010100
[4,4,3,1,1] => 110100110 => 011001011 => 100110100
[4,4,2,2,1] => 110011010 => 010110011 => 101001100
[4,4,2,1,1,1] => 1100101110 => 0111010011 => 1000101100
[4,4,1,1,1,1,1] => 11000111110 => 01111100011 => 10000011100
[4,3,3,3] => 10111000 => 00011101 => 11100010
[4,3,3,2,1] => 101101010 => 010101101 => 101010010
[4,3,3,1,1,1] => 1011001110 => 0111001101 => 1000110010
[4,3,2,2,2] => 101011100 => 001110101 => 110001010
[4,3,2,2,1,1] => 1010110110 => 0110110101 => 1001001010
[4,3,2,1,1,1,1] => 10101011110 => 01111010101 => 10000101010
[4,2,2,2,2,1] => 1001111010 => 0101111001 => 1010000110
[3,3,3,3,1] => 11110010 => 01001111 => 10110000
[3,3,3,2,2] => 11101100 => 00110111 => 11001000
[3,3,3,2,1,1] => 111010110 => 011010111 => 100101000
[3,3,3,1,1,1,1] => 1110011110 => 0111100111 => 1000011000
[3,3,2,2,2,1] => 110111010 => 010111011 => 101000100
[3,3,2,2,1,1,1] => 1101101110 => 0111011011 => 1000100100
[3,3,2,1,1,1,1,1] => 11010111110 => 01111101011 => 10000010100
[3,3,1,1,1,1,1,1,1] => 110011111110 => 011111110011 => 100000001100
[3,2,2,2,2,2] => 101111100 => 001111101 => 110000010
[3,2,2,2,2,1,1] => 1011110110 => 0110111101 => 1001000010
[3,2,2,2,1,1,1,1] => 10111011110 => 01111011101 => 10000100010
[2,2,2,2,2,2,1] => 111111010 => 010111111 => 101000000
[2,2,2,2,2,1,1,1] => 1111101110 => 0111011111 => 1000100000
[2,2,2,2,1,1,1,1,1] => 11110111110 => 01111101111 => 10000010000
[2,2,2,1,1,1,1,1,1,1] => 111011111110 => 011111110111 => 100000001000
[9,5] => 10000100000 => 00000100001 => 11111011110
[9,3,2] => 100000010100 => 001010000001 => 110101111110
[8,6] => 1001000000 => 0000001001 => 1111110110
[8,5,1] => 10001000010 => 01000010001 => 10111101110
[8,4,2] => 10000100100 => 00100100001 => 11011011110
[8,4,1,1] => 100001000110 => 011000100001 => 100111011110
[8,3,2,1] => 100000101010 => 010101000001 => 101010111110
[7,7] => 110000000 => 000000011 => 111111100
[7,6,1] => 1010000010 => 0100000101 => 1011111010
[7,5,2] => 1001000100 => 0010001001 => 1101110110
[7,4,3] => 1000101000 => 0001010001 => 1110101110
[7,4,2,1] => 10001001010 => 01010010001 => 10101101110
[6,6,2] => 110000100 => 001000011 => 110111100
[6,6,1,1] => 1100000110 => 0110000011 => 1001111100
[6,5,3] => 101001000 => 000100101 => 111011010
[6,5,2,1] => 1010001010 => 0101000101 => 1010111010
[6,4,4] => 100110000 => 000011001 => 111100110
[6,4,3,1] => 1001010010 => 0100101001 => 1011010110
[6,4,2,2] => 1001001100 => 0011001001 => 1100110110
[6,4,1,1,1,1] => 100100011110 => 011110001001 => 100001110110
[6,3,3,2] => 1000110100 => 0010110001 => 1101001110
[6,3,2,1,1,1] => 100010101110 => 011101010001 => 100010101110
[6,2,2,2,2] => 10000111100 => 00111100001 => 11000011110
[6,2,2,2,1,1] => 100001110110 => 011011100001 => 100100011110
[5,5,4] => 11010000 => 00001011 => 11110100
[5,5,3,1] => 110010010 => 010010011 => 101101100
[5,5,2,2] => 110001100 => 001100011 => 110011100
[5,5,2,1,1] => 1100010110 => 0110100011 => 1001011100
[5,5,1,1,1,1] => 11000011110 => 01111000011 => 10000111100
[5,4,4,1] => 101100010 => 010001101 => 101110010
[5,4,3,2] => 101010100 => 001010101 => 110101010
[5,4,3,1,1] => 1010100110 => 0110010101 => 1001101010
[5,4,2,2,1] => 1010011010 => 0101100101 => 1010011010
[5,4,1,1,1,1,1] => 101000111110 => 011111000101 => 100000111010
[5,3,3,3] => 100111000 => 000111001 => 111000110
[5,3,3,2,1] => 1001101010 => 0101011001 => 1010100110
[5,3,2,2,2] => 1001011100 => 0011101001 => 1100010110
[5,3,2,1,1,1,1] => 100101011110 => 011110101001 => 100001010110
[5,2,2,2,2,1] => 10001111010 => 01011110001 => 10100001110
[5,2,2,2,1,1,1] => 100011101110 => 011101110001 => 100010001110
[4,4,4,2] => 11100100 => 00100111 => 11011000
[4,4,4,1,1] => 111000110 => 011000111 => 100111000
[4,4,3,3] => 11011000 => 00011011 => 11100100
[4,4,3,2,1] => 110101010 => 010101011 => 101010100
[4,4,3,1,1,1] => 1101001110 => 0111001011 => 1000110100
[4,4,2,2,2] => 110011100 => 001110011 => 110001100
[4,4,2,2,1,1] => 1100110110 => 0110110011 => 1001001100
[4,4,2,1,1,1,1] => 11001011110 => 01111010011 => 10000101100
[4,4,1,1,1,1,1,1] => 110001111110 => 011111100011 => 100000011100
[4,3,3,3,1] => 101110010 => 010011101 => 101100010
[4,3,3,2,2] => 101101100 => 001101101 => 110010010
[4,3,3,2,1,1] => 1011010110 => 0110101101 => 1001010010
[4,3,2,2,2,1] => 1010111010 => 0101110101 => 1010001010
[4,3,2,1,1,1,1,1] => 101010111110 => 011111010101 => 100000101010
[4,2,2,2,2,2] => 1001111100 => 0011111001 => 1100000110
[4,2,2,2,1,1,1,1] => 100111011110 => 011110111001 => 100001000110
[3,3,3,3,2] => 11110100 => 00101111 => 11010000
[3,3,3,3,1,1] => 111100110 => 011001111 => 100110000
[3,3,3,2,2,1] => 111011010 => 010110111 => 101001000
[3,3,3,1,1,1,1,1] => 11100111110 => 01111100111 => 10000011000
[3,3,2,2,2,2] => 110111100 => 001111011 => 110000100
[3,3,2,2,2,1,1] => 1101110110 => 0110111011 => 1001000100
[3,2,2,2,2,2,1] => 1011111010 => 0101111101 => 1010000010
[3,2,2,2,2,1,1,1] => 10111101110 => 01110111101 => 10001000010
[2,2,2,2,2,2,2] => 111111100 => 001111111 => 110000000
[2,2,2,2,2,2,1,1] => 1111110110 => 0110111111 => 1001000000
[2,2,2,2,2,1,1,1,1] => 11111011110 => 01111011111 => 10000100000
[2,2,2,2,1,1,1,1,1,1] => 111101111110 => 011111101111 => 100000010000
[10,5] => 100000100000 => 000001000001 => 111110111110
[9,6] => 10001000000 => 00000010001 => 11111101110
[9,5,1] => 100001000010 => 010000100001 => 101111011110
[8,7] => 1010000000 => 0000000101 => 1111111010
[8,6,1] => 10010000010 => 01000001001 => 10111110110
[8,5,2] => 10001000100 => 00100010001 => 11011101110
[8,4,3] => 10000101000 => 00010100001 => 11101011110
[7,7,1] => 1100000010 => 0100000011 => 1011111100
[7,6,2] => 1010000100 => 0010000101 => 1101111010
[7,5,3] => 1001001000 => 0001001001 => 1110110110
[7,4,4] => 1000110000 => 0000110001 => 1111001110
[7,4,3,1] => 10001010010 => 01001010001 => 10110101110
[6,6,3] => 110001000 => 000100011 => 111011100
[6,6,2,1] => 1100001010 => 0101000011 => 1010111100
[6,6,1,1,1] => 11000001110 => 01110000011 => 10001111100
[6,5,4] => 101010000 => 000010101 => 111101010
[6,5,3,1] => 1010010010 => 0100100101 => 1011011010
[6,5,2,2] => 1010001100 => 0011000101 => 1100111010
[6,5,1,1,1,1] => 101000011110 => 011110000101 => 100001111010
[6,4,4,1] => 1001100010 => 0100011001 => 1011100110
[6,4,3,2] => 1001010100 => 0010101001 => 1101010110
[6,4,2,1,1,1] => 100100101110 => 011101001001 => 100010110110
[6,3,3,3] => 1000111000 => 0001110001 => 1110001110
[6,3,3,1,1,1] => 100011001110 => 011100110001 => 100011001110
[6,3,2,2,1,1] => 100010110110 => 011011010001 => 100100101110
[6,2,2,2,2,1] => 100001111010 => 010111100001 => 101000011110
[5,5,5] => 11100000 => 00000111 => 11111000
[5,5,4,1] => 110100010 => 010001011 => 101110100
[5,5,3,2] => 110010100 => 001010011 => 110101100
[5,5,3,1,1] => 1100100110 => 0110010011 => 1001101100
[5,5,2,2,1] => 1100011010 => 0101100011 => 1010011100
[5,5,2,1,1,1] => 11000101110 => 01110100011 => 10001011100
[5,5,1,1,1,1,1] => 110000111110 => 011111000011 => 100000111100
[5,4,4,2] => 101100100 => 001001101 => 110110010
[5,4,4,1,1] => 1011000110 => 0110001101 => 1001110010
[5,4,3,3] => 101011000 => 000110101 => 111001010
[5,4,3,2,1] => 1010101010 => 0101010101 => 1010101010
[5,4,2,2,2] => 1010011100 => 0011100101 => 1100011010
[5,4,2,1,1,1,1] => 101001011110 => 011110100101 => 100001011010
[5,3,3,3,1] => 1001110010 => 0100111001 => 1011000110
[5,3,3,2,2] => 1001101100 => 0011011001 => 1100100110
[5,3,3,1,1,1,1] => 100110011110 => 011110011001 => 100001100110
[5,3,2,2,1,1,1] => 100101101110 => 011101101001 => 100010010110
[5,2,2,2,2,2] => 10001111100 => 00111110001 => 11000001110
[4,4,4,3] => 11101000 => 00010111 => 11101000
[4,4,4,2,1] => 111001010 => 010100111 => 101011000
[4,4,4,1,1,1] => 1110001110 => 0111000111 => 1000111000
[4,4,3,3,1] => 110110010 => 010011011 => 101100100
[4,4,3,2,2] => 110101100 => 001101011 => 110010100
[4,4,3,2,1,1] => 1101010110 => 0110101011 => 1001010100
[4,4,3,1,1,1,1] => 11010011110 => 01111001011 => 10000110100
[4,4,2,2,2,1] => 1100111010 => 0101110011 => 1010001100
[4,3,3,3,2] => 101110100 => 001011101 => 110100010
[4,3,3,3,1,1] => 1011100110 => 0110011101 => 1001100010
[4,3,2,2,2,2] => 1010111100 => 0011110101 => 1100001010
[3,3,3,3,3] => 11111000 => 00011111 => 11100000
[3,3,3,3,2,1] => 111101010 => 010101111 => 101010000
[3,3,3,2,2,2] => 111011100 => 001110111 => 110001000
[3,3,3,2,2,1,1] => 1110110110 => 0110110111 => 1001001000
[3,3,3,2,1,1,1,1] => 11101011110 => 01111010111 => 10000101000
[3,3,2,2,2,2,1] => 1101111010 => 0101111011 => 1010000100
[3,2,2,2,2,2,2] => 1011111100 => 0011111101 => 1100000010
[3,2,2,2,2,2,1,1] => 10111110110 => 01101111101 => 10010000010
[2,2,2,2,2,2,2,1] => 1111111010 => 0101111111 => 1010000000
[2,2,2,2,2,2,1,1,1] => 11111101110 => 01110111111 => 10001000000
[2,2,2,2,2,1,1,1,1,1] => 111110111110 => 011111011111 => 100000100000
[9,7] => 10010000000 => 00000001001 => 11111110110
[9,6,1] => 100010000010 => 010000010001 => 101111101110
[9,5,2] => 100001000100 => 001000100001 => 110111011110
[8,8] => 1100000000 => 0000000011 => 1111111100
[8,7,1] => 10100000010 => 01000000101 => 10111111010
[8,5,3] => 10001001000 => 00010010001 => 11101101110
[8,5,2,1] => 100010001010 => 010100010001 => 101011101110
[8,4,3,1] => 100001010010 => 010010100001 => 101101011110
[8,4,2,2] => 100001001100 => 001100100001 => 110011011110
[7,7,2] => 1100000100 => 0010000011 => 1101111100
[7,7,1,1] => 11000000110 => 01100000011 => 10011111100
[7,6,3] => 1010001000 => 0001000101 => 1110111010
[7,5,4] => 1001010000 => 0000101001 => 1111010110
[7,4,3,2] => 10001010100 => 00101010001 => 11010101110
[7,3,2,2,2] => 100001011100 => 001110100001 => 110001011110
[6,6,4] => 110010000 => 000010011 => 111101100
[6,6,3,1] => 1100010010 => 0100100011 => 1011011100
[6,6,2,2] => 1100001100 => 0011000011 => 1100111100
[6,6,2,1,1] => 11000010110 => 01101000011 => 10010111100
[6,6,1,1,1,1] => 110000011110 => 011110000011 => 100001111100
[6,5,5] => 101100000 => 000001101 => 111110010
[6,5,4,1] => 1010100010 => 0100010101 => 1011101010
[6,5,3,2] => 1010010100 => 0010100101 => 1101011010
[6,5,2,1,1,1] => 101000101110 => 011101000101 => 100010111010
[6,4,4,2] => 1001100100 => 0010011001 => 1101100110
[6,4,3,3] => 1001011000 => 0001101001 => 1110010110
[6,4,3,1,1,1] => 100101001110 => 011100101001 => 100011010110
[6,4,2,2,1,1] => 100100110110 => 011011001001 => 100100110110
[6,3,3,2,1,1] => 100011010110 => 011010110001 => 100101001110
[6,3,2,2,2,1] => 100010111010 => 010111010001 => 101000101110
[6,2,2,2,2,2] => 100001111100 => 001111100001 => 110000011110
[5,5,5,1] => 111000010 => 010000111 => 101111000
[5,5,4,2] => 110100100 => 001001011 => 110110100
[5,5,4,1,1] => 1101000110 => 0110001011 => 1001110100
[5,5,3,3] => 110011000 => 000110011 => 111001100
[5,5,3,2,1] => 1100101010 => 0101010011 => 1010101100
[5,5,3,1,1,1] => 11001001110 => 01110010011 => 10001101100
[5,5,2,2,2] => 1100011100 => 0011100011 => 1100011100
[5,5,2,1,1,1,1] => 110001011110 => 011110100011 => 100001011100
[5,4,4,3] => 101101000 => 000101101 => 111010010
[5,4,4,2,1] => 1011001010 => 0101001101 => 1010110010
[5,4,3,3,1] => 1010110010 => 0100110101 => 1011001010
[5,4,3,2,2] => 1010101100 => 0011010101 => 1100101010
[5,4,3,2,1,1] => 10101010110 => 01101010101 => 10010101010
[5,4,3,1,1,1,1] => 101010011110 => 011110010101 => 100001101010
[5,4,2,2,1,1,1] => 101001101110 => 011101100101 => 100010011010
[5,3,3,3,2] => 1001110100 => 0010111001 => 1101000110
[5,3,3,2,1,1,1] => 100110101110 => 011101011001 => 100010100110
[4,4,4,4] => 11110000 => 00001111 => 11110000
[4,4,4,3,1] => 111010010 => 010010111 => 101101000
[4,4,4,2,2] => 111001100 => 001100111 => 110011000
[4,4,4,2,1,1] => 1110010110 => 0110100111 => 1001011000
[4,4,3,3,2] => 110110100 => 001011011 => 110100100
[4,4,3,3,1,1] => 1101100110 => 0110011011 => 1001100100
[4,4,3,2,2,1] => 1101011010 => 0101101011 => 1010010100
[4,4,2,2,2,2] => 1100111100 => 0011110011 => 1100001100
[4,4,2,2,1,1,1,1] => 110011011110 => 011110110011 => 100001001100
[4,3,3,3,3] => 101111000 => 000111101 => 111000010
[4,3,3,3,2,1] => 1011101010 => 0101011101 => 1010100010
[4,3,3,2,2,2] => 1011011100 => 0011101101 => 1100010010
[4,3,3,2,1,1,1,1] => 101101011110 => 011110101101 => 100001010010
[4,3,2,2,2,2,1] => 10101111010 => 01011110101 => 10100001010
[4,3,2,2,2,1,1,1] => 101011101110 => 011101110101 => 100010001010
[4,2,2,2,2,2,1,1] => 100111110110 => 011011111001 => 100100000110
[3,3,3,3,3,1] => 111110010 => 010011111 => 101100000
[3,3,3,3,2,2] => 111101100 => 001101111 => 110010000
[3,3,3,3,2,1,1] => 1111010110 => 0110101111 => 1001010000
[3,3,3,3,1,1,1,1] => 11110011110 => 01111001111 => 10000110000
[3,3,3,2,2,2,1] => 1110111010 => 0101110111 => 1010001000
[3,2,2,2,2,2,2,1] => 10111111010 => 01011111101 => 10100000010
[2,2,2,2,2,2,2,2] => 1111111100 => 0011111111 => 1100000000
[2,2,2,2,2,2,2,1,1] => 11111110110 => 01101111111 => 10010000000
[2,2,2,2,2,2,1,1,1,1] => 111111011110 => 011110111111 => 100001000000
[10,7] => 100010000000 => 000000010001 => 111111101110
[9,8] => 10100000000 => 00000000101 => 11111111010
[9,6,2] => 100010000100 => 001000010001 => 110111101110
[9,5,3] => 100001001000 => 000100100001 => 111011011110
[8,8,1] => 11000000010 => 01000000011 => 10111111100
[8,7,2] => 10100000100 => 00100000101 => 11011111010
[8,6,3] => 10010001000 => 00010001001 => 11101110110
[8,6,2,1] => 100100001010 => 010100001001 => 101011110110
[8,5,4] => 10001010000 => 00001010001 => 11110101110
[8,5,3,1] => 100010010010 => 010010010001 => 101101101110
[7,7,3] => 1100001000 => 0001000011 => 1110111100
[7,7,2,1] => 11000001010 => 01010000011 => 10101111100
[7,7,1,1,1] => 110000001110 => 011100000011 => 100011111100
[7,6,4] => 1010010000 => 0000100101 => 1111011010
[7,5,5] => 1001100000 => 0000011001 => 1111100110
[7,4,3,2,1] => 100010101010 => 010101010001 => 101010101110
[7,4,2,2,2] => 100010011100 => 001110010001 => 110001101110
[7,3,3,2,2] => 100001101100 => 001101100001 => 110010011110
[6,6,5] => 110100000 => 000001011 => 111110100
[6,6,4,1] => 1100100010 => 0100010011 => 1011101100
[6,6,3,2] => 1100010100 => 0010100011 => 1101011100
[6,6,3,1,1] => 11000100110 => 01100100011 => 10011011100
[6,6,2,1,1,1] => 110000101110 => 011101000011 => 100010111100
[6,5,5,1] => 1011000010 => 0100001101 => 1011110010
[6,5,4,2] => 1010100100 => 0010010101 => 1101101010
[6,5,3,3] => 1010011000 => 0001100101 => 1110011010
[6,5,2,2,1,1] => 101000110110 => 011011000101 => 100100111010
[6,4,4,3] => 1001101000 => 0001011001 => 1110100110
[6,4,4,1,1,1] => 100110001110 => 011100011001 => 100011100110
[6,4,3,2,1,1] => 100101010110 => 011010101001 => 100101010110
[6,4,2,2,2,1] => 100100111010 => 010111001001 => 101000110110
[6,3,3,3,2] => 10001110100 => 00101110001 => 11010001110
[6,3,3,3,1,1] => 100011100110 => 011001110001 => 100110001110
[6,3,2,2,2,2] => 100010111100 => 001111010001 => 110000101110
[5,5,5,2] => 111000100 => 001000111 => 110111000
[5,5,5,1,1] => 1110000110 => 0110000111 => 1001111000
[5,5,4,3] => 110101000 => 000101011 => 111010100
[5,5,4,2,1] => 1101001010 => 0101001011 => 1010110100
[5,5,3,3,1] => 1100110010 => 0100110011 => 1011001100
[5,5,3,2,2] => 1100101100 => 0011010011 => 1100101100
[5,5,3,1,1,1,1] => 110010011110 => 011110010011 => 100001101100
[5,5,2,2,1,1,1] => 110001101110 => 011101100011 => 100010011100
[5,4,4,4] => 101110000 => 000011101 => 111100010
[5,4,4,3,1] => 1011010010 => 0100101101 => 1011010010
[5,4,4,2,2] => 1011001100 => 0011001101 => 1100110010
[5,4,4,1,1,1,1] => 101100011110 => 011110001101 => 100001110010
[5,4,3,3,2] => 1010110100 => 0010110101 => 1101001010
[5,4,3,2,1,1,1] => 101010101110 => 011101010101 => 100010101010
[5,3,3,3,3] => 1001111000 => 0001111001 => 1110000110
[5,3,3,3,1,1,1] => 100111001110 => 011100111001 => 100011000110
[5,2,2,2,2,2,2] => 100011111100 => 001111110001 => 110000001110
[4,4,4,4,1] => 111100010 => 010001111 => 101110000
[4,4,4,3,2] => 111010100 => 001010111 => 110101000
[4,4,4,3,1,1] => 1110100110 => 0110010111 => 1001101000
[4,4,4,2,2,1] => 1110011010 => 0101100111 => 1010011000
[4,4,3,3,3] => 110111000 => 000111011 => 111000100
[4,4,3,3,2,1] => 1101101010 => 0101011011 => 1010100100
[4,4,3,2,2,2] => 1101011100 => 0011101011 => 1100010100
[4,4,2,2,2,1,1,1] => 110011101110 => 011101110011 => 100010001100
[4,3,3,3,3,1] => 1011110010 => 0100111101 => 1011000010
[4,3,3,3,2,2] => 1011101100 => 0011011101 => 1100100010
[3,3,3,3,3,2] => 111110100 => 001011111 => 110100000
[3,3,3,3,3,1,1] => 1111100110 => 0110011111 => 1001100000
[3,3,3,3,2,2,1] => 1111011010 => 0101101111 => 1010010000
[3,3,3,3,2,1,1,1] => 11110101110 => 01110101111 => 10001010000
[3,2,2,2,2,2,2,2] => 10111111100 => 00111111101 => 11000000010
[2,2,2,2,2,2,2,2,1] => 11111111010 => 01011111111 => 10100000000
[2,2,2,2,2,2,2,1,1,1] => 111111101110 => 011101111111 => 100010000000
[] => => =>
[6,5,4,3,2,1] => 101010101010 => 010101010101 => 101010101010
[5,5,4,3,2,1] => 11010101010 => 01010101011 => 10101010100
[6,4,4,3,2,1] => 100110101010 => 010101011001 => 101010100110
[4,4,4,3,2,1] => 1110101010 => 0101010111 => 1010101000
[6,4,3,3,2,1] => 100101101010 => 010101101001 => 101010010110
[6,5,4,2,2,1] => 101010011010 => 010110010101 => 101001101010
[6,4,4,2,2,1] => 100110011010 => 010110011001 => 101001100110
[6,5,3,2,2,1] => 101001011010 => 010110100101 => 101001011010
[6,4,3,2,2,1] => 100101011010 => 010110101001 => 101001010110
[6,5,2,2,2,1] => 101000111010 => 010111000101 => 101000111010
[6,5,4,3,1,1] => 101010100110 => 011001010101 => 100110101010
[6,4,4,3,1,1] => 100110100110 => 011001011001 => 100110100110
[6,5,3,3,1,1] => 101001100110 => 011001100101 => 100110011010
[5,5,3,3,1,1] => 11001100110 => 01100110011 => 10011001100
[6,4,3,3,1,1] => 100101100110 => 011001101001 => 100110010110
[6,5,4,2,1,1] => 101010010110 => 011010010101 => 100101101010
[6,5,3,2,1,1] => 101001010110 => 011010100101 => 100101011010
[6,5,4,3,2] => 10101010100 => 00101010101 => 11010101010
[5,5,4,3,2] => 1101010100 => 0010101011 => 1101010100
[6,4,4,3,2] => 10011010100 => 00101011001 => 11010100110
[5,4,4,3,2] => 1011010100 => 0010101101 => 1101010010
[5,5,3,3,2] => 1100110100 => 0010110011 => 1101001100
[5,5,4,2,2] => 1101001100 => 0011001011 => 1100110100
[5,5,4,3,1] => 1101010010 => 0100101011 => 1011010100
[6,5,4,3] => 1010101000 => 0001010101 => 1110101010
[6,6,5,4,3,2,1] => 1101010101010 => 0101010101011 => 1010101010100
[5,5,5,4,3,2,1] => 111010101010 => 010101010111 => 101010101000
[4,4,4,4,3,2,1] => 11110101010 => 01010101111 => 10101010000
[3,3,3,3,3,2,1] => 1111101010 => 0101011111 => 1010100000
[5,5,4,3,2,2,1] => 110101011010 => 010110101011 => 101001010100
[5,5,4,3,2,1,1] => 110101010110 => 011010101011 => 100101010100
[5,4,4,3,2,1,1] => 101101010110 => 011010101101 => 100101010010
[5,5,5,2,1,1,1] => 111000101110 => 011101000111 => 100010111000
[6,6,5,4,3,2] => 110101010100 => 001010101011 => 110101010100
[6,5,5,4,3,2] => 101101010100 => 001010101101 => 110101010010
[5,5,5,4,3,2] => 11101010100 => 00101010111 => 11010101000
[6,5,4,4,3,2] => 101011010100 => 001010110101 => 110101001010
[6,5,4,3,3,2] => 101010110100 => 001011010101 => 110100101010
[5,4,3,3,3,2] => 10101110100 => 00101110101 => 11010001010
[4,3,3,3,3,2] => 1011110100 => 0010111101 => 1101000010
[6,5,4,3,2,2] => 101010101100 => 001101010101 => 110010101010
[4,4,4,3,2,2] => 1110101100 => 0011010111 => 1100101000
[6,5,4,2,2,2] => 101010011100 => 001110010101 => 110001101010
[5,4,3,2,2,2] => 10101011100 => 00111010101 => 11000101010
[6,6,2,2,2,2] => 110000111100 => 001111000011 => 110000111100
[6,6,5,4,3,1] => 110101010010 => 010010101011 => 101101010100
[6,5,5,4,3,1] => 101101010010 => 010010101101 => 101101010010
[4,4,4,4,3,1] => 1111010010 => 0100101111 => 1011010000
[5,5,5,4,2,1] => 11101001010 => 01010010111 => 10101101000
[4,4,4,4,2,1] => 1111001010 => 0101001111 => 1010110000
[6,6,5,3,2,1] => 110100101010 => 010101001011 => 101010110100
[5,5,5,3,2,1] => 11100101010 => 01010100111 => 10101011000
[6,6,4,3,2,1] => 110010101010 => 010101010011 => 101010101100
[7,6,5,4,3] => 101010101000 => 000101010101 => 111010101010
[6,6,5,4,3] => 11010101000 => 00010101011 => 11101010100
[6,5,5,4,3] => 10110101000 => 00010101101 => 11101010010
[5,4,4,4,3] => 1011101000 => 0001011101 => 1110100010
[5,4,3,3,3] => 1010111000 => 0001110101 => 1110001010
[7,6,5,4,2] => 101010100100 => 001001010101 => 110110101010
[4,4,4,4,2] => 111100100 => 001001111 => 110110000
[7,6,5,3,2] => 101010010100 => 001010010101 => 110101101010
[7,6,4,3,2] => 101001010100 => 001010100101 => 110101011010
[7,5,4,3,2] => 100101010100 => 001010101001 => 110101010110
[7,6,5,4,1] => 101010100010 => 010001010101 => 101110101010
[7,5,4,3,1] => 100101010010 => 010010101001 => 101101010110
[7,6,5,2,1] => 101010001010 => 010100010101 => 101011101010
[7,6,4,2,1] => 101001001010 => 010100100101 => 101011011010
[7,5,4,2,1] => 100101001010 => 010100101001 => 101011010110
[7,6,3,2,1] => 101000101010 => 010101000101 => 101010111010
[7,6,5,4] => 10101010000 => 00001010101 => 11110101010
[6,5,5,4] => 1011010000 => 0000101101 => 1111010010
[7,6,5,3] => 10101001000 => 00010010101 => 11101101010
[7,6,4,3] => 10100101000 => 00010100101 => 11101011010
[7,5,4,3] => 10010101000 => 00010101001 => 11101010110
[7,6,5,2] => 10101000100 => 00100010101 => 11011101010
[7,6,5] => 1010100000 => 0000010101 => 1111101010
[2,2,2,2,2,2,2,2,2] => 11111111100 => 00111111111 => 11000000000
[3,3,3,3,3,3] => 111111000 => 000111111 => 111000000
[3,3,3,3,3,3,3,3] => 11111111000 => 00011111111 => 11100000000
[2,2,2,2,2,2,2,2,2,2] => 111111111100 => 001111111111 => 110000000000
[3,3,3,3,3,3,1] => 1111110010 => 0100111111 => 1011000000
[3,3,3,3,3,3,3] => 1111111000 => 0001111111 => 1110000000
[3,3,3,3,3,2,2] => 1111101100 => 0011011111 => 1100100000
[4,3,3,3,3,3] => 1011111000 => 0001111101 => 1110000010
[4,4,4,4,4] => 111110000 => 000011111 => 111100000
[4,4,4,3,3,3] => 1110111000 => 0001110111 => 1110001000
[4,4,4,4,4,4] => 1111110000 => 0000111111 => 1111000000
[5,5,5,5] => 111100000 => 000001111 => 111110000
[6,6,6,6] => 1111000000 => 0000001111 => 1111110000
[6,6,6] => 111000000 => 000000111 => 111111000
[7,6,6] => 1011000000 => 0000001101 => 1111110010
[10,10] => 110000000000 => 000000000011 => 111111111100
[6,6,6,6,6] => 11111000000 => 00000011111 => 11111100000
[9,6,3] => 100010001000 => 000100010001 => 111011101110
[8,6,4,2] => 100100100100 => 001001001001 => 110110110110
[8,6,4] => 10010010000 => 00001001001 => 11110110110
[8,7,6] => 10101000000 => 00000010101 => 11111101010
[5,5,5,5,5,5] => 11111100000 => 00000111111 => 11111000000
[7,7,7,7] => 11110000000 => 00000001111 => 11111110000
[7,7,7] => 1110000000 => 0000000111 => 1111111000
[9,6,4] => 100010010000 => 000010010001 => 111101101110
[8,5,4,2] => 100010100100 => 001001010001 => 110110101110
[9,7,4] => 100100010000 => 000010001001 => 111101110110
[5,5,5,5,5] => 1111100000 => 0000011111 => 1111100000
[9,9] => 11000000000 => 00000000011 => 11111111100
[8,8,8] => 11100000000 => 00000000111 => 11111111000
[4,4,4,4,4,4,4] => 11111110000 => 00001111111 => 11110000000
[6,6,6,4,3,2,1] => 1110010101010 => 0101010100111 => 1010101011000
[5,5,5,5,3,2,1] => 111100101010 => 010101001111 => 101010110000
[5,4,3,2,2,2,2] => 101010111100 => 001111010101 => 110000101010
[6,5,5,5] => 1011100000 => 0000011101 => 1111100010
[5,4,4,4,4] => 1011110000 => 0000111101 => 1111000010
[8,7,6,5] => 101010100000 => 000001010101 => 111110101010
[8,7,5] => 10100100000 => 00000100101 => 11111011010
[4,4,4,4,4,1] => 1111100010 => 0100011111 => 1011100000
[5,5,5,5,1] => 1111000010 => 0100001111 => 1011110000
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
reverse
Description
Return the reversal of a binary word.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.