Identifier
Mp00095:
Integer partitions
—to binary word⟶
Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
[1] => 10 => 01
[2] => 100 => 011
[1,1] => 110 => 001
[3] => 1000 => 0111
[2,1] => 1010 => 0101
[1,1,1] => 1110 => 0001
[4] => 10000 => 01111
[3,1] => 10010 => 01101
[2,2] => 1100 => 0011
[2,1,1] => 10110 => 01001
[1,1,1,1] => 11110 => 00001
[5] => 100000 => 011111
[4,1] => 100010 => 011101
[3,2] => 10100 => 01011
[3,1,1] => 100110 => 011001
[2,2,1] => 11010 => 00101
[2,1,1,1] => 101110 => 010001
[1,1,1,1,1] => 111110 => 000001
[6] => 1000000 => 0111111
[5,1] => 1000010 => 0111101
[4,2] => 100100 => 011011
[4,1,1] => 1000110 => 0111001
[3,3] => 11000 => 00111
[3,2,1] => 101010 => 010101
[3,1,1,1] => 1001110 => 0110001
[2,2,2] => 11100 => 00011
[2,2,1,1] => 110110 => 001001
[2,1,1,1,1] => 1011110 => 0100001
[1,1,1,1,1,1] => 1111110 => 0000001
[7] => 10000000 => 01111111
[6,1] => 10000010 => 01111101
[5,2] => 1000100 => 0111011
[5,1,1] => 10000110 => 01111001
[4,3] => 101000 => 010111
[4,2,1] => 1001010 => 0110101
[4,1,1,1] => 10001110 => 01110001
[3,3,1] => 110010 => 001101
[3,2,2] => 101100 => 010011
[3,2,1,1] => 1010110 => 0101001
[3,1,1,1,1] => 10011110 => 01100001
[2,2,2,1] => 111010 => 000101
[2,2,1,1,1] => 1101110 => 0010001
[2,1,1,1,1,1] => 10111110 => 01000001
[1,1,1,1,1,1,1] => 11111110 => 00000001
[8] => 100000000 => 011111111
[7,1] => 100000010 => 011111101
[6,2] => 10000100 => 01111011
[6,1,1] => 100000110 => 011111001
[5,3] => 1001000 => 0110111
[5,2,1] => 10001010 => 01110101
[5,1,1,1] => 100001110 => 011110001
[4,4] => 110000 => 001111
[4,3,1] => 1010010 => 0101101
[4,2,2] => 1001100 => 0110011
[4,2,1,1] => 10010110 => 01101001
[4,1,1,1,1] => 100011110 => 011100001
[3,3,2] => 110100 => 001011
[3,3,1,1] => 1100110 => 0011001
[3,2,2,1] => 1011010 => 0100101
[3,2,1,1,1] => 10101110 => 01010001
[3,1,1,1,1,1] => 100111110 => 011000001
[2,2,2,2] => 111100 => 000011
[2,2,2,1,1] => 1110110 => 0001001
[2,2,1,1,1,1] => 11011110 => 00100001
[2,1,1,1,1,1,1] => 101111110 => 010000001
[1,1,1,1,1,1,1,1] => 111111110 => 000000001
[9] => 1000000000 => 0111111111
[8,1] => 1000000010 => 0111111101
[7,2] => 100000100 => 011111011
[7,1,1] => 1000000110 => 0111111001
[6,3] => 10001000 => 01110111
[6,2,1] => 100001010 => 011110101
[6,1,1,1] => 1000001110 => 0111110001
[5,4] => 1010000 => 0101111
[5,3,1] => 10010010 => 01101101
[5,2,2] => 10001100 => 01110011
[5,2,1,1] => 100010110 => 011101001
[5,1,1,1,1] => 1000011110 => 0111100001
[4,4,1] => 1100010 => 0011101
[4,3,2] => 1010100 => 0101011
[4,3,1,1] => 10100110 => 01011001
[4,2,2,1] => 10011010 => 01100101
[4,2,1,1,1] => 100101110 => 011010001
[4,1,1,1,1,1] => 1000111110 => 0111000001
[3,3,3] => 111000 => 000111
[3,3,2,1] => 1101010 => 0010101
[3,3,1,1,1] => 11001110 => 00110001
[3,2,2,2] => 1011100 => 0100011
[3,2,2,1,1] => 10110110 => 01001001
[3,2,1,1,1,1] => 101011110 => 010100001
[3,1,1,1,1,1,1] => 1001111110 => 0110000001
[2,2,2,2,1] => 1111010 => 0000101
[2,2,2,1,1,1] => 11101110 => 00010001
[2,2,1,1,1,1,1] => 110111110 => 001000001
[2,1,1,1,1,1,1,1] => 1011111110 => 0100000001
[1,1,1,1,1,1,1,1,1] => 1111111110 => 0000000001
[10] => 10000000000 => 01111111111
[9,1] => 10000000010 => 01111111101
[8,2] => 1000000100 => 0111111011
[8,1,1] => 10000000110 => 01111111001
[7,3] => 100001000 => 011110111
>>> Load all 864 entries. <<<
[7,2,1] => 1000001010 => 0111110101
[7,1,1,1] => 10000001110 => 01111110001
[6,4] => 10010000 => 01101111
[6,3,1] => 100010010 => 011101101
[6,2,2] => 100001100 => 011110011
[6,2,1,1] => 1000010110 => 0111101001
[6,1,1,1,1] => 10000011110 => 01111100001
[5,5] => 1100000 => 0011111
[5,4,1] => 10100010 => 01011101
[5,3,2] => 10010100 => 01101011
[5,3,1,1] => 100100110 => 011011001
[5,2,2,1] => 100011010 => 011100101
[5,2,1,1,1] => 1000101110 => 0111010001
[5,1,1,1,1,1] => 10000111110 => 01111000001
[4,4,2] => 1100100 => 0011011
[4,4,1,1] => 11000110 => 00111001
[4,3,3] => 1011000 => 0100111
[4,3,2,1] => 10101010 => 01010101
[4,3,1,1,1] => 101001110 => 010110001
[4,2,2,2] => 10011100 => 01100011
[4,2,2,1,1] => 100110110 => 011001001
[4,2,1,1,1,1] => 1001011110 => 0110100001
[4,1,1,1,1,1,1] => 10001111110 => 01110000001
[3,3,3,1] => 1110010 => 0001101
[3,3,2,2] => 1101100 => 0010011
[3,3,2,1,1] => 11010110 => 00101001
[3,3,1,1,1,1] => 110011110 => 001100001
[3,2,2,2,1] => 10111010 => 01000101
[3,2,2,1,1,1] => 101101110 => 010010001
[3,2,1,1,1,1,1] => 1010111110 => 0101000001
[3,1,1,1,1,1,1,1] => 10011111110 => 01100000001
[2,2,2,2,2] => 1111100 => 0000011
[2,2,2,2,1,1] => 11110110 => 00001001
[2,2,2,1,1,1,1] => 111011110 => 000100001
[2,2,1,1,1,1,1,1] => 1101111110 => 0010000001
[2,1,1,1,1,1,1,1,1] => 10111111110 => 01000000001
[1,1,1,1,1,1,1,1,1,1] => 11111111110 => 00000000001
[11] => 100000000000 => 011111111111
[10,1] => 100000000010 => 011111111101
[9,2] => 10000000100 => 01111111011
[8,3] => 1000001000 => 0111110111
[8,2,1] => 10000001010 => 01111110101
[8,1,1,1] => 100000001110 => 011111110001
[7,4] => 100010000 => 011101111
[7,3,1] => 1000010010 => 0111101101
[7,2,2] => 1000001100 => 0111110011
[7,2,1,1] => 10000010110 => 01111101001
[7,1,1,1,1] => 100000011110 => 011111100001
[6,5] => 10100000 => 01011111
[6,4,1] => 100100010 => 011011101
[6,3,2] => 100010100 => 011101011
[6,3,1,1] => 1000100110 => 0111011001
[6,2,2,1] => 1000011010 => 0111100101
[6,2,1,1,1] => 10000101110 => 01111010001
[6,1,1,1,1,1] => 100000111110 => 011111000001
[5,5,1] => 11000010 => 00111101
[5,4,2] => 10100100 => 01011011
[5,4,1,1] => 101000110 => 010111001
[5,3,3] => 10011000 => 01100111
[5,3,2,1] => 100101010 => 011010101
[5,3,1,1,1] => 1001001110 => 0110110001
[5,2,2,2] => 100011100 => 011100011
[5,2,2,1,1] => 1000110110 => 0111001001
[5,2,1,1,1,1] => 10001011110 => 01110100001
[5,1,1,1,1,1,1] => 100001111110 => 011110000001
[4,4,3] => 1101000 => 0010111
[4,4,2,1] => 11001010 => 00110101
[4,4,1,1,1] => 110001110 => 001110001
[4,3,3,1] => 10110010 => 01001101
[4,3,2,2] => 10101100 => 01010011
[4,3,2,1,1] => 101010110 => 010101001
[4,3,1,1,1,1] => 1010011110 => 0101100001
[4,2,2,2,1] => 100111010 => 011000101
[4,2,2,1,1,1] => 1001101110 => 0110010001
[4,2,1,1,1,1,1] => 10010111110 => 01101000001
[4,1,1,1,1,1,1,1] => 100011111110 => 011100000001
[3,3,3,2] => 1110100 => 0001011
[3,3,3,1,1] => 11100110 => 00011001
[3,3,2,2,1] => 11011010 => 00100101
[3,3,2,1,1,1] => 110101110 => 001010001
[3,3,1,1,1,1,1] => 1100111110 => 0011000001
[3,2,2,2,2] => 10111100 => 01000011
[3,2,2,2,1,1] => 101110110 => 010001001
[3,2,2,1,1,1,1] => 1011011110 => 0100100001
[3,2,1,1,1,1,1,1] => 10101111110 => 01010000001
[2,2,2,2,2,1] => 11111010 => 00000101
[2,2,2,2,1,1,1] => 111101110 => 000010001
[2,2,2,1,1,1,1,1] => 1110111110 => 0001000001
[2,2,1,1,1,1,1,1,1] => 11011111110 => 00100000001
[2,1,1,1,1,1,1,1,1,1] => 101111111110 => 010000000001
[1,1,1,1,1,1,1,1,1,1,1] => 111111111110 => 000000000001
[12] => 1000000000000 => 0111111111111
[10,2] => 100000000100 => 011111111011
[9,3] => 10000001000 => 01111110111
[8,4] => 1000010000 => 0111101111
[8,3,1] => 10000010010 => 01111101101
[8,2,2] => 10000001100 => 01111110011
[8,2,1,1] => 100000010110 => 011111101001
[7,5] => 100100000 => 011011111
[7,4,1] => 1000100010 => 0111011101
[7,3,2] => 1000010100 => 0111101011
[7,3,1,1] => 10000100110 => 01111011001
[7,2,2,1] => 10000011010 => 01111100101
[6,6] => 11000000 => 00111111
[6,5,1] => 101000010 => 010111101
[6,4,2] => 100100100 => 011011011
[6,4,1,1] => 1001000110 => 0110111001
[6,3,3] => 100011000 => 011100111
[6,3,2,1] => 1000101010 => 0111010101
[6,3,1,1,1] => 10001001110 => 01110110001
[6,2,2,2] => 1000011100 => 0111100011
[6,2,2,1,1] => 10000110110 => 01111001001
[6,2,1,1,1,1] => 100001011110 => 011110100001
[5,5,2] => 11000100 => 00111011
[5,5,1,1] => 110000110 => 001111001
[5,4,3] => 10101000 => 01010111
[5,4,2,1] => 101001010 => 010110101
[5,4,1,1,1] => 1010001110 => 0101110001
[5,3,3,1] => 100110010 => 011001101
[5,3,2,2] => 100101100 => 011010011
[5,3,2,1,1] => 1001010110 => 0110101001
[5,3,1,1,1,1] => 10010011110 => 01101100001
[5,2,2,2,1] => 1000111010 => 0111000101
[5,2,2,1,1,1] => 10001101110 => 01110010001
[5,2,1,1,1,1,1] => 100010111110 => 011101000001
[4,4,4] => 1110000 => 0001111
[4,4,3,1] => 11010010 => 00101101
[4,4,2,2] => 11001100 => 00110011
[4,4,2,1,1] => 110010110 => 001101001
[4,4,1,1,1,1] => 1100011110 => 0011100001
[4,3,3,2] => 10110100 => 01001011
[4,3,3,1,1] => 101100110 => 010011001
[4,3,2,2,1] => 101011010 => 010100101
[4,3,2,1,1,1] => 1010101110 => 0101010001
[4,3,1,1,1,1,1] => 10100111110 => 01011000001
[4,2,2,2,2] => 100111100 => 011000011
[4,2,2,2,1,1] => 1001110110 => 0110001001
[4,2,2,1,1,1,1] => 10011011110 => 01100100001
[4,2,1,1,1,1,1,1] => 100101111110 => 011010000001
[3,3,3,3] => 1111000 => 0000111
[3,3,3,2,1] => 11101010 => 00010101
[3,3,3,1,1,1] => 111001110 => 000110001
[3,3,2,2,2] => 11011100 => 00100011
[3,3,2,2,1,1] => 110110110 => 001001001
[3,3,2,1,1,1,1] => 1101011110 => 0010100001
[3,3,1,1,1,1,1,1] => 11001111110 => 00110000001
[3,2,2,2,2,1] => 101111010 => 010000101
[3,2,2,2,1,1,1] => 1011101110 => 0100010001
[3,2,2,1,1,1,1,1] => 10110111110 => 01001000001
[2,2,2,2,2,2] => 11111100 => 00000011
[2,2,2,2,2,1,1] => 111110110 => 000001001
[2,2,2,2,1,1,1,1] => 1111011110 => 0000100001
[2,2,2,1,1,1,1,1,1] => 11101111110 => 00010000001
[2,2,1,1,1,1,1,1,1,1] => 110111111110 => 001000000001
[13] => 10000000000000 => 01111111111111
[10,3] => 100000001000 => 011111110111
[9,4] => 10000010000 => 01111101111
[8,5] => 1000100000 => 0111011111
[8,4,1] => 10000100010 => 01111011101
[8,3,2] => 10000010100 => 01111101011
[8,3,1,1] => 100000100110 => 011111011001
[7,6] => 101000000 => 010111111
[7,5,1] => 1001000010 => 0110111101
[7,4,2] => 1000100100 => 0111011011
[7,3,3] => 1000011000 => 0111100111
[7,3,2,1] => 10000101010 => 01111010101
[7,3,1,1,1] => 100001001110 => 011110110001
[7,2,2,2] => 10000011100 => 01111100011
[6,6,1] => 110000010 => 001111101
[6,5,2] => 101000100 => 010111011
[6,5,1,1] => 1010000110 => 0101111001
[6,4,3] => 100101000 => 011010111
[6,4,2,1] => 1001001010 => 0110110101
[6,3,3,1] => 1000110010 => 0111001101
[6,3,2,2] => 1000101100 => 0111010011
[6,3,1,1,1,1] => 100010011110 => 011101100001
[6,2,2,2,1] => 10000111010 => 01111000101
[6,2,2,1,1,1] => 100001101110 => 011110010001
[5,5,3] => 11001000 => 00110111
[5,5,2,1] => 110001010 => 001110101
[5,5,1,1,1] => 1100001110 => 0011110001
[5,4,4] => 10110000 => 01001111
[5,4,3,1] => 101010010 => 010101101
[5,4,2,2] => 101001100 => 010110011
[5,4,2,1,1] => 1010010110 => 0101101001
[5,4,1,1,1,1] => 10100011110 => 01011100001
[5,3,3,2] => 100110100 => 011001011
[5,3,3,1,1] => 1001100110 => 0110011001
[5,3,2,2,1] => 1001011010 => 0110100101
[5,3,2,1,1,1] => 10010101110 => 01101010001
[5,3,1,1,1,1,1] => 100100111110 => 011011000001
[5,2,2,2,2] => 1000111100 => 0111000011
[5,2,2,1,1,1,1] => 100011011110 => 011100100001
[4,4,4,1] => 11100010 => 00011101
[4,4,3,2] => 11010100 => 00101011
[4,4,3,1,1] => 110100110 => 001011001
[4,4,2,2,1] => 110011010 => 001100101
[4,4,2,1,1,1] => 1100101110 => 0011010001
[4,4,1,1,1,1,1] => 11000111110 => 00111000001
[4,3,3,3] => 10111000 => 01000111
[4,3,3,2,1] => 101101010 => 010010101
[4,3,3,1,1,1] => 1011001110 => 0100110001
[4,3,2,2,2] => 101011100 => 010100011
[4,3,2,2,1,1] => 1010110110 => 0101001001
[4,3,2,1,1,1,1] => 10101011110 => 01010100001
[4,3,1,1,1,1,1,1] => 101001111110 => 010110000001
[4,2,2,2,2,1] => 1001111010 => 0110000101
[3,3,3,3,1] => 11110010 => 00001101
[3,3,3,2,2] => 11101100 => 00010011
[3,3,3,2,1,1] => 111010110 => 000101001
[3,3,3,1,1,1,1] => 1110011110 => 0001100001
[3,3,2,2,2,1] => 110111010 => 001000101
[3,3,2,2,1,1,1] => 1101101110 => 0010010001
[3,3,2,1,1,1,1,1] => 11010111110 => 00101000001
[3,3,1,1,1,1,1,1,1] => 110011111110 => 001100000001
[3,2,2,2,2,2] => 101111100 => 010000011
[3,2,2,2,2,1,1] => 1011110110 => 0100001001
[3,2,2,2,1,1,1,1] => 10111011110 => 01000100001
[2,2,2,2,2,2,1] => 111111010 => 000000101
[2,2,2,2,2,1,1,1] => 1111101110 => 0000010001
[2,2,2,2,1,1,1,1,1] => 11110111110 => 00001000001
[2,2,2,1,1,1,1,1,1,1] => 111011111110 => 000100000001
[14] => 100000000000000 => 011111111111111
[9,5] => 10000100000 => 01111011111
[9,3,2] => 100000010100 => 011111101011
[8,6] => 1001000000 => 0110111111
[8,4,2] => 10000100100 => 01111011011
[8,4,1,1] => 100001000110 => 011110111001
[8,3,3] => 10000011000 => 01111100111
[8,3,2,1] => 100000101010 => 011111010101
[7,7] => 110000000 => 001111111
[7,6,1] => 1010000010 => 0101111101
[7,5,2] => 1001000100 => 0110111011
[7,4,3] => 1000101000 => 0111010111
[7,4,2,1] => 10001001010 => 01110110101
[7,4,1,1,1] => 100010001110 => 011101110001
[7,3,3,1] => 10000110010 => 01111001101
[7,3,2,2] => 10000101100 => 01111010011
[6,6,2] => 110000100 => 001111011
[6,6,1,1] => 1100000110 => 0011111001
[6,5,3] => 101001000 => 010110111
[6,5,2,1] => 1010001010 => 0101110101
[6,4,4] => 100110000 => 011001111
[6,4,3,1] => 1001010010 => 0110101101
[6,4,2,2] => 1001001100 => 0110110011
[6,4,1,1,1,1] => 100100011110 => 011011100001
[6,3,3,2] => 1000110100 => 0111001011
[6,3,2,2,1] => 10001011010 => 01110100101
[6,3,2,1,1,1] => 100010101110 => 011101010001
[6,2,2,2,2] => 10000111100 => 01111000011
[6,2,2,2,1,1] => 100001110110 => 011110001001
[5,5,4] => 11010000 => 00101111
[5,5,3,1] => 110010010 => 001101101
[5,5,2,2] => 110001100 => 001110011
[5,5,2,1,1] => 1100010110 => 0011101001
[5,5,1,1,1,1] => 11000011110 => 00111100001
[5,4,4,1] => 101100010 => 010011101
[5,4,3,2] => 101010100 => 010101011
[5,4,3,1,1] => 1010100110 => 0101011001
[5,4,2,2,1] => 1010011010 => 0101100101
[5,4,2,1,1,1] => 10100101110 => 01011010001
[5,4,1,1,1,1,1] => 101000111110 => 010111000001
[5,3,3,3] => 100111000 => 011000111
[5,3,3,2,1] => 1001101010 => 0110010101
[5,3,2,2,2] => 1001011100 => 0110100011
[5,3,2,1,1,1,1] => 100101011110 => 011010100001
[5,2,2,2,2,1] => 10001111010 => 01110000101
[5,2,2,2,1,1,1] => 100011101110 => 011100010001
[4,4,4,2] => 11100100 => 00011011
[4,4,4,1,1] => 111000110 => 000111001
[4,4,3,3] => 11011000 => 00100111
[4,4,3,2,1] => 110101010 => 001010101
[4,4,3,1,1,1] => 1101001110 => 0010110001
[4,4,2,2,2] => 110011100 => 001100011
[4,4,2,2,1,1] => 1100110110 => 0011001001
[4,4,2,1,1,1,1] => 11001011110 => 00110100001
[4,4,1,1,1,1,1,1] => 110001111110 => 001110000001
[4,3,3,3,1] => 101110010 => 010001101
[4,3,3,2,2] => 101101100 => 010010011
[4,3,3,2,1,1] => 1011010110 => 0100101001
[4,3,2,2,2,1] => 1010111010 => 0101000101
[4,3,2,1,1,1,1,1] => 101010111110 => 010101000001
[4,2,2,2,2,2] => 1001111100 => 0110000011
[4,2,2,2,1,1,1,1] => 100111011110 => 011000100001
[3,3,3,3,2] => 11110100 => 00001011
[3,3,3,3,1,1] => 111100110 => 000011001
[3,3,3,2,2,1] => 111011010 => 000100101
[3,3,3,2,1,1,1] => 1110101110 => 0001010001
[3,3,3,1,1,1,1,1] => 11100111110 => 00011000001
[3,3,2,2,2,2] => 110111100 => 001000011
[3,3,2,2,2,1,1] => 1101110110 => 0010001001
[3,2,2,2,2,2,1] => 1011111010 => 0100000101
[3,2,2,2,2,1,1,1] => 10111101110 => 01000010001
[2,2,2,2,2,2,2] => 111111100 => 000000011
[2,2,2,2,2,2,1,1] => 1111110110 => 0000001001
[2,2,2,2,2,1,1,1,1] => 11111011110 => 00000100001
[2,2,2,2,1,1,1,1,1,1] => 111101111110 => 000010000001
[15] => 1000000000000000 => 0111111111111111
[10,5] => 100000100000 => 011111011111
[9,6] => 10001000000 => 01110111111
[9,5,1] => 100001000010 => 011110111101
[8,7] => 1010000000 => 0101111111
[8,5,2] => 10001000100 => 01110111011
[8,5,1,1] => 100010000110 => 011101111001
[8,4,3] => 10000101000 => 01111010111
[8,4,2,1] => 100001001010 => 011110110101
[8,3,2,2] => 100000101100 => 011111010011
[7,7,1] => 1100000010 => 0011111101
[7,6,2] => 1010000100 => 0101111011
[7,5,3] => 1001001000 => 0110110111
[7,5,1,1,1] => 100100001110 => 011011110001
[7,4,4] => 1000110000 => 0111001111
[7,4,3,1] => 10001010010 => 01110101101
[7,4,2,2] => 10001001100 => 01110110011
[7,4,2,1,1] => 100010010110 => 011101101001
[7,3,3,2] => 10000110100 => 01111001011
[6,6,3] => 110001000 => 001110111
[6,6,2,1] => 1100001010 => 0011110101
[6,6,1,1,1] => 11000001110 => 00111110001
[6,5,4] => 101010000 => 010101111
[6,5,3,1] => 1010010010 => 0101101101
[6,5,2,2] => 1010001100 => 0101110011
[6,5,2,1,1] => 10100010110 => 01011101001
[6,5,1,1,1,1] => 101000011110 => 010111100001
[6,4,4,1] => 1001100010 => 0110011101
[6,4,3,2] => 1001010100 => 0110101011
[6,4,2,1,1,1] => 100100101110 => 011011010001
[6,3,3,3] => 1000111000 => 0111000111
[6,3,3,1,1,1] => 100011001110 => 011100110001
[6,3,2,2,1,1] => 100010110110 => 011101001001
[6,2,2,2,2,1] => 100001111010 => 011110000101
[5,5,5] => 11100000 => 00011111
[5,5,4,1] => 110100010 => 001011101
[5,5,3,2] => 110010100 => 001101011
[5,5,3,1,1] => 1100100110 => 0011011001
[5,5,2,2,1] => 1100011010 => 0011100101
[5,5,2,1,1,1] => 11000101110 => 00111010001
[5,5,1,1,1,1,1] => 110000111110 => 001111000001
[5,4,4,2] => 101100100 => 010011011
[5,4,4,1,1] => 1011000110 => 0100111001
[5,4,3,3] => 101011000 => 010100111
[5,4,3,2,1] => 1010101010 => 0101010101
[5,4,3,1,1,1] => 10101001110 => 01010110001
[5,4,2,2,2] => 1010011100 => 0101100011
[5,4,2,1,1,1,1] => 101001011110 => 010110100001
[5,3,3,3,1] => 1001110010 => 0110001101
[5,3,3,2,2] => 1001101100 => 0110010011
[5,3,3,1,1,1,1] => 100110011110 => 011001100001
[5,3,2,2,2,1] => 10010111010 => 01101000101
[5,3,2,2,1,1,1] => 100101101110 => 011010010001
[5,2,2,2,2,2] => 10001111100 => 01110000011
[4,4,4,3] => 11101000 => 00010111
[4,4,4,2,1] => 111001010 => 000110101
[4,4,4,1,1,1] => 1110001110 => 0001110001
[4,4,3,3,1] => 110110010 => 001001101
[4,4,3,2,2] => 110101100 => 001010011
[4,4,3,2,1,1] => 1101010110 => 0010101001
[4,4,3,1,1,1,1] => 11010011110 => 00101100001
[4,4,2,2,2,1] => 1100111010 => 0011000101
[4,4,2,1,1,1,1,1] => 110010111110 => 001101000001
[4,3,3,3,2] => 101110100 => 010001011
[4,3,3,3,1,1] => 1011100110 => 0100011001
[4,3,3,2,2,1] => 1011011010 => 0100100101
[4,3,2,2,2,2] => 1010111100 => 0101000011
[4,3,2,2,1,1,1,1] => 101011011110 => 010100100001
[3,3,3,3,3] => 11111000 => 00000111
[3,3,3,3,2,1] => 111101010 => 000010101
[3,3,3,3,1,1,1] => 1111001110 => 0000110001
[3,3,3,2,2,2] => 111011100 => 000100011
[3,3,3,2,2,1,1] => 1110110110 => 0001001001
[3,3,3,2,1,1,1,1] => 11101011110 => 00010100001
[3,3,2,2,2,2,1] => 1101111010 => 0010000101
[3,3,2,2,2,1,1,1] => 11011101110 => 00100010001
[3,2,2,2,2,2,2] => 1011111100 => 0100000011
[3,2,2,2,2,2,1,1] => 10111110110 => 01000001001
[3,2,2,2,2,1,1,1,1] => 101111011110 => 010000100001
[2,2,2,2,2,2,2,1] => 1111111010 => 0000000101
[2,2,2,2,2,2,1,1,1] => 11111101110 => 00000010001
[2,2,2,2,2,1,1,1,1,1] => 111110111110 => 000001000001
[12,4] => 10000000010000 => 01111111101111
[10,6] => 100001000000 => 011110111111
[9,7] => 10010000000 => 01101111111
[9,6,1] => 100010000010 => 011101111101
[9,5,2] => 100001000100 => 011110111011
[8,8] => 1100000000 => 0011111111
[8,7,1] => 10100000010 => 01011111101
[8,6,1,1] => 100100000110 => 011011111001
[8,5,3] => 10001001000 => 01110110111
[8,5,2,1] => 100010001010 => 011101110101
[8,4,3,1] => 100001010010 => 011110101101
[8,4,2,2] => 100001001100 => 011110110011
[7,7,2] => 1100000100 => 0011111011
[7,7,1,1] => 11000000110 => 00111111001
[7,6,3] => 1010001000 => 0101110111
[7,6,1,1,1] => 101000001110 => 010111110001
[7,5,4] => 1001010000 => 0110101111
[7,5,3,1] => 10010010010 => 01101101101
[7,5,2,1,1] => 100100010110 => 011011101001
[7,4,3,2] => 10001010100 => 01110101011
[7,3,2,2,2] => 100001011100 => 011110100011
[6,6,4] => 110010000 => 001101111
[6,6,3,1] => 1100010010 => 0011101101
[6,6,2,2] => 1100001100 => 0011110011
[6,6,2,1,1] => 11000010110 => 00111101001
[6,6,1,1,1,1] => 110000011110 => 001111100001
[6,5,5] => 101100000 => 010011111
[6,5,4,1] => 1010100010 => 0101011101
[6,5,3,2] => 1010010100 => 0101101011
[6,5,2,2,1] => 10100011010 => 01011100101
[6,5,2,1,1,1] => 101000101110 => 010111010001
[6,4,4,2] => 1001100100 => 0110011011
[6,4,3,3] => 1001011000 => 0110100111
[6,4,3,1,1,1] => 100101001110 => 011010110001
[6,4,2,2,2] => 10010011100 => 01101100011
[6,4,2,2,1,1] => 100100110110 => 011011001001
[6,3,3,3,1] => 10001110010 => 01110001101
[6,3,3,2,1,1] => 100011010110 => 011100101001
[6,3,2,2,2,1] => 100010111010 => 011101000101
[6,2,2,2,2,2] => 100001111100 => 011110000011
[5,5,5,1] => 111000010 => 000111101
[5,5,4,2] => 110100100 => 001011011
[5,5,4,1,1] => 1101000110 => 0010111001
[5,5,3,3] => 110011000 => 001100111
[5,5,3,2,1] => 1100101010 => 0011010101
[5,5,3,1,1,1] => 11001001110 => 00110110001
[5,5,2,2,2] => 1100011100 => 0011100011
[5,5,2,1,1,1,1] => 110001011110 => 001110100001
[5,4,4,3] => 101101000 => 010010111
[5,4,4,2,1] => 1011001010 => 0100110101
[5,4,3,3,1] => 1010110010 => 0101001101
[5,4,3,2,2] => 1010101100 => 0101010011
[5,4,3,2,1,1] => 10101010110 => 01010101001
[5,4,3,1,1,1,1] => 101010011110 => 010101100001
[5,4,2,2,2,1] => 10100111010 => 01011000101
[5,4,2,2,1,1,1] => 101001101110 => 010110010001
[5,3,3,3,2] => 1001110100 => 0110001011
[5,3,3,2,1,1,1] => 100110101110 => 011001010001
[4,4,4,4] => 11110000 => 00001111
[4,4,4,3,1] => 111010010 => 000101101
[4,4,4,2,2] => 111001100 => 000110011
[4,4,4,2,1,1] => 1110010110 => 0001101001
[4,4,3,3,2] => 110110100 => 001001011
[4,4,3,3,1,1] => 1101100110 => 0010011001
[4,4,3,2,2,1] => 1101011010 => 0010100101
[4,4,2,2,2,2] => 1100111100 => 0011000011
[4,4,2,2,1,1,1,1] => 110011011110 => 001100100001
[4,3,3,3,3] => 101111000 => 010000111
[4,3,3,3,2,1] => 1011101010 => 0100010101
[4,3,3,2,2,2] => 1011011100 => 0100100011
[4,3,3,2,1,1,1,1] => 101101011110 => 010010100001
[4,3,2,2,2,2,1] => 10101111010 => 01010000101
[4,3,2,2,2,1,1,1] => 101011101110 => 010100010001
[4,2,2,2,2,2,2] => 10011111100 => 01100000011
[4,2,2,2,2,2,1,1] => 100111110110 => 011000001001
[3,3,3,3,3,1] => 111110010 => 000001101
[3,3,3,3,2,2] => 111101100 => 000010011
[3,3,3,3,2,1,1] => 1111010110 => 0000101001
[3,3,3,3,1,1,1,1] => 11110011110 => 00001100001
[3,3,3,2,2,2,1] => 1110111010 => 0001000101
[3,3,3,2,2,1,1,1] => 11101101110 => 00010010001
[3,3,2,2,2,2,2] => 1101111100 => 0010000011
[3,3,2,2,2,1,1,1,1] => 110111011110 => 001000100001
[3,2,2,2,2,2,2,1] => 10111111010 => 01000000101
[2,2,2,2,2,2,2,2] => 1111111100 => 0000000011
[2,2,2,2,2,2,2,1,1] => 11111110110 => 00000001001
[2,2,2,2,2,2,1,1,1,1] => 111111011110 => 000000100001
[10,7] => 100010000000 => 011101111111
[9,8] => 10100000000 => 01011111111
[9,6,2] => 100010000100 => 011101111011
[9,5,3] => 100001001000 => 011110110111
[8,8,1] => 11000000010 => 00111111101
[8,7,2] => 10100000100 => 01011111011
[8,7,1,1] => 101000000110 => 010111111001
[8,6,3] => 10010001000 => 01101110111
[8,6,2,1] => 100100001010 => 011011110101
[8,5,4] => 10001010000 => 01110101111
[8,5,3,1] => 100010010010 => 011101101101
[8,5,2,2] => 100010001100 => 011101110011
[7,7,3] => 1100001000 => 0011110111
[7,7,2,1] => 11000001010 => 00111110101
[7,7,1,1,1] => 110000001110 => 001111110001
[7,6,4] => 1010010000 => 0101101111
[7,6,2,1,1] => 101000010110 => 010111101001
[7,5,5] => 1001100000 => 0110011111
[7,5,3,2] => 10010010100 => 01101101011
[7,5,2,2,1] => 100100011010 => 011011100101
[7,4,4,2] => 10001100100 => 01110011011
[7,4,4,1,1] => 100011000110 => 011100111001
[7,4,3,2,1] => 100010101010 => 011101010101
[7,4,2,2,2] => 100010011100 => 011101100011
[7,3,3,2,2] => 100001101100 => 011110010011
[6,6,5] => 110100000 => 001011111
[6,6,4,1] => 1100100010 => 0011011101
[6,6,3,2] => 1100010100 => 0011101011
[6,6,3,1,1] => 11000100110 => 00111011001
[6,6,2,2,1] => 11000011010 => 00111100101
[6,6,2,1,1,1] => 110000101110 => 001111010001
[6,5,5,1] => 1011000010 => 0100111101
[6,5,4,2] => 1010100100 => 0101011011
[6,5,3,3] => 1010011000 => 0101100111
[6,5,3,1,1,1] => 101001001110 => 010110110001
[6,5,2,2,2] => 10100011100 => 01011100011
[6,5,2,2,1,1] => 101000110110 => 010111001001
[6,4,4,3] => 1001101000 => 0110010111
[6,4,4,1,1,1] => 100110001110 => 011001110001
[6,4,3,2,1,1] => 100101010110 => 011010101001
[6,4,2,2,2,1] => 100100111010 => 011011000101
[6,3,3,3,2] => 10001110100 => 01110001011
[6,3,3,3,1,1] => 100011100110 => 011100011001
[6,3,3,2,2,1] => 100011011010 => 011100100101
[6,3,2,2,2,2] => 100010111100 => 011101000011
[5,5,5,2] => 111000100 => 000111011
[5,5,5,1,1] => 1110000110 => 0001111001
[5,5,4,3] => 110101000 => 001010111
[5,5,4,2,1] => 1101001010 => 0010110101
[5,5,3,3,1] => 1100110010 => 0011001101
[5,5,3,2,2] => 1100101100 => 0011010011
[5,5,3,2,1,1] => 11001010110 => 00110101001
[5,5,3,1,1,1,1] => 110010011110 => 001101100001
[5,5,2,2,1,1,1] => 110001101110 => 001110010001
[5,4,4,4] => 101110000 => 010001111
[5,4,4,3,1] => 1011010010 => 0100101101
[5,4,4,2,2] => 1011001100 => 0100110011
[5,4,4,2,1,1] => 10110010110 => 01001101001
[5,4,4,1,1,1,1] => 101100011110 => 010011100001
[5,4,3,3,2] => 1010110100 => 0101001011
[5,4,3,3,1,1] => 10101100110 => 01010011001
[5,4,3,2,2,1] => 10101011010 => 01010100101
[5,4,3,2,1,1,1] => 101010101110 => 010101010001
[5,4,2,2,2,2] => 10100111100 => 01011000011
[5,3,3,3,3] => 1001111000 => 0110000111
[5,3,3,3,2,1] => 10011101010 => 01100010101
[5,3,3,3,1,1,1] => 100111001110 => 011000110001
[5,3,3,2,2,2] => 10011011100 => 01100100011
[5,2,2,2,2,2,2] => 100011111100 => 011100000011
[4,4,4,4,1] => 111100010 => 000011101
[4,4,4,3,2] => 111010100 => 000101011
[4,4,4,3,1,1] => 1110100110 => 0001011001
[4,4,4,2,2,1] => 1110011010 => 0001100101
[4,4,3,3,3] => 110111000 => 001000111
[4,4,3,3,2,1] => 1101101010 => 0010010101
[4,4,3,2,2,2] => 1101011100 => 0010100011
[4,4,3,2,1,1,1,1] => 110101011110 => 001010100001
[4,4,2,2,2,1,1,1] => 110011101110 => 001100010001
[4,3,3,3,3,1] => 1011110010 => 0100001101
[4,3,3,3,2,2] => 1011101100 => 0100010011
[4,3,3,2,2,1,1,1] => 101101101110 => 010010010001
[4,3,2,2,2,2,1,1] => 101011110110 => 010100001001
[3,3,3,3,3,2] => 111110100 => 000001011
[3,3,3,3,2,2,1] => 1111011010 => 0000100101
[3,3,3,3,2,1,1,1] => 11110101110 => 00001010001
[3,3,3,2,2,2,2] => 1110111100 => 0001000011
[3,3,3,2,2,2,1,1] => 11101110110 => 00010001001
[3,3,3,2,2,1,1,1,1] => 111011011110 => 000100100001
[3,3,2,2,2,2,1,1,1] => 110111101110 => 001000010001
[3,2,2,2,2,2,2,2] => 10111111100 => 01000000011
[2,2,2,2,2,2,2,2,1] => 11111111010 => 00000000101
[2,2,2,2,2,2,2,1,1,1] => 111111101110 => 000000010001
[] => =>
[6,5,4,3,2,1] => 101010101010 => 010101010101
[5,5,4,3,2,1] => 11010101010 => 00101010101
[6,4,4,3,2,1] => 100110101010 => 011001010101
[5,4,4,3,2,1] => 10110101010 => 01001010101
[4,4,4,3,2,1] => 1110101010 => 0001010101
[6,5,3,3,2,1] => 101001101010 => 010110010101
[5,5,3,3,2,1] => 11001101010 => 00110010101
[6,4,3,3,2,1] => 100101101010 => 011010010101
[5,4,3,3,2,1] => 10101101010 => 01010010101
[6,3,3,3,2,1] => 100011101010 => 011100010101
[6,5,4,2,2,1] => 101010011010 => 010101100101
[5,5,4,2,2,1] => 11010011010 => 00101100101
[6,4,4,2,2,1] => 100110011010 => 011001100101
[5,4,4,2,2,1] => 10110011010 => 01001100101
[6,5,3,2,2,1] => 101001011010 => 010110100101
[5,5,3,2,2,1] => 11001011010 => 00110100101
[6,4,3,2,2,1] => 100101011010 => 011010100101
[6,5,2,2,2,1] => 101000111010 => 010111000101
[6,5,4,3,1,1] => 101010100110 => 010101011001
[5,5,4,3,1,1] => 11010100110 => 00101011001
[6,4,4,3,1,1] => 100110100110 => 011001011001
[5,4,4,3,1,1] => 10110100110 => 01001011001
[6,5,3,3,1,1] => 101001100110 => 010110011001
[5,5,3,3,1,1] => 11001100110 => 00110011001
[6,4,3,3,1,1] => 100101100110 => 011010011001
[6,5,4,2,1,1] => 101010010110 => 010101101001
[5,5,4,2,1,1] => 11010010110 => 00101101001
[6,4,4,2,1,1] => 100110010110 => 011001101001
[6,5,3,2,1,1] => 101001010110 => 010110101001
[6,5,4,1,1,1] => 101010001110 => 010101110001
[6,5,4,3,2] => 10101010100 => 01010101011
[5,5,4,3,2] => 1101010100 => 0010101011
[6,4,4,3,2] => 10011010100 => 01100101011
[5,4,4,3,2] => 1011010100 => 0100101011
[6,5,3,3,2] => 10100110100 => 01011001011
[5,5,3,3,2] => 1100110100 => 0011001011
[6,5,4,2,2] => 10101001100 => 01010110011
[5,5,4,2,2] => 1101001100 => 0010110011
[6,4,4,2,2] => 10011001100 => 01100110011
[6,5,3,2,2] => 10100101100 => 01011010011
[6,5,4,3,1] => 10101010010 => 01010101101
[5,5,4,3,1] => 1101010010 => 0010101101
[6,4,4,3,1] => 10011010010 => 01100101101
[6,5,4,3] => 1010101000 => 0101010111
[7,6,5,4,3,2,1] => 10101010101010 => 01010101010101
[6,6,5,4,3,2,1] => 1101010101010 => 0010101010101
[6,5,5,4,3,2,1] => 1011010101010 => 0100101010101
[5,5,5,4,3,2,1] => 111010101010 => 000101010101
[6,5,4,4,3,2,1] => 1010110101010 => 0101001010101
[5,5,4,4,3,2,1] => 110110101010 => 001001010101
[6,4,4,4,3,2,1] => 1001110101010 => 0110001010101
[5,4,4,4,3,2,1] => 101110101010 => 010001010101
[4,4,4,4,3,2,1] => 11110101010 => 00001010101
[6,5,4,3,3,2,1] => 1010101101010 => 0101010010101
[6,5,3,3,3,2,1] => 1010011101010 => 0101100010101
[6,4,3,3,3,2,1] => 1001011101010 => 0110100010101
[5,4,3,3,3,2,1] => 101011101010 => 010100010101
[6,3,3,3,3,2,1] => 1000111101010 => 0111000010101
[3,3,3,3,3,2,1] => 1111101010 => 0000010101
[6,5,4,3,2,2,1] => 1010101011010 => 0101010100101
[5,5,4,3,2,2,1] => 110101011010 => 001010100101
[6,5,4,2,2,2,1] => 1010100111010 => 0101011000101
[6,5,3,2,2,2,1] => 1010010111010 => 0101101000101
[5,4,3,2,2,2,1] => 101010111010 => 010101000101
[6,5,2,2,2,2,1] => 1010001111010 => 0101110000101
[4,4,4,4,2,1,1] => 11110010110 => 00001101001
[6,5,4,3,2,1,1] => 1010101010110 => 0101010101001
[5,5,4,3,2,1,1] => 110101010110 => 001010101001
[5,4,4,3,2,1,1] => 101101010110 => 010010101001
[6,5,4,3,1,1,1] => 1010101001110 => 0101010110001
[5,5,5,2,1,1,1] => 111000101110 => 000111010001
[6,5,4,2,1,1,1] => 1010100101110 => 0101011010001
[6,5,4,1,1,1,1] => 1010100011110 => 0101011100001
[7,6,5,4,3,2] => 1010101010100 => 0101010101011
[6,6,5,4,3,2] => 110101010100 => 001010101011
[6,5,5,4,3,2] => 101101010100 => 010010101011
[5,5,5,4,3,2] => 11101010100 => 00010101011
[6,5,4,4,3,2] => 101011010100 => 010100101011
[6,5,4,3,3,2] => 101010110100 => 010101001011
[5,4,3,3,3,2] => 10101110100 => 01010001011
[4,3,3,3,3,2] => 1011110100 => 0100001011
[6,5,4,3,2,2] => 101010101100 => 010101010011
[4,4,4,3,2,2] => 1110101100 => 0001010011
[6,5,4,2,2,2] => 101010011100 => 010101100011
[5,4,3,2,2,2] => 10101011100 => 01010100011
[6,6,2,2,2,2] => 110000111100 => 001111000011
[6,6,5,4,3,1] => 110101010010 => 001010101101
[6,5,5,4,3,1] => 101101010010 => 010010101101
[4,4,4,4,3,1] => 1111010010 => 0000101101
[5,5,5,4,2,1] => 11101001010 => 00010110101
[4,4,4,4,2,1] => 1111001010 => 0000110101
[6,6,5,3,2,1] => 110100101010 => 001011010101
[5,5,5,3,2,1] => 11100101010 => 00011010101
[6,6,4,3,2,1] => 110010101010 => 001101010101
[7,6,5,4,3] => 101010101000 => 010101010111
[6,6,5,4,3] => 11010101000 => 00101010111
[6,5,5,4,3] => 10110101000 => 01001010111
[5,4,4,4,3] => 1011101000 => 0100010111
[5,4,3,3,3] => 1010111000 => 0101000111
[7,6,5,4,2] => 101010100100 => 010101011011
[4,4,4,4,2] => 111100100 => 000011011
[7,6,5,3,2] => 101010010100 => 010101101011
[7,6,4,3,2] => 101001010100 => 010110101011
[7,5,4,3,2] => 100101010100 => 011010101011
[7,6,5,4,1] => 101010100010 => 010101011101
[7,5,4,3,1] => 100101010010 => 011010101101
[7,6,5,2,1] => 101010001010 => 010101110101
[7,6,4,2,1] => 101001001010 => 010110110101
[7,5,4,2,1] => 100101001010 => 011010110101
[7,6,3,2,1] => 101000101010 => 010111010101
[7,6,5,4] => 10101010000 => 01010101111
[6,5,5,4] => 1011010000 => 0100101111
[7,6,5,3] => 10101001000 => 01010110111
[7,6,4,3] => 10100101000 => 01011010111
[7,5,4,3] => 10010101000 => 01101010111
[7,6,5,2] => 10101000100 => 01010111011
[7,6,5] => 1010100000 => 0101011111
[2,2,2,2,2,2,2,2,2] => 11111111100 => 00000000011
[3,3,3,3,3,3] => 111111000 => 000000111
[3,3,3,3,3,3,3,3] => 11111111000 => 00000000111
[3,3,3,3,3,3,1] => 1111110010 => 0000001101
[3,3,3,3,3,3,3] => 1111111000 => 0000000111
[3,3,3,3,3,2,2] => 1111101100 => 0000010011
[4,3,3,3,3,3] => 1011111000 => 0100000111
[4,4,4,4,4] => 111110000 => 000001111
[4,4,4,3,3,3] => 1110111000 => 0001000111
[4,4,4,4,4,4] => 1111110000 => 0000001111
[5,5,5,5] => 111100000 => 000011111
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 111111111111111100 => 000000000000000011
[6,6,6,6] => 1111000000 => 0000111111
[6,2,2,2,2,2,2] => 1000011111100 => 0111100000011
[6,6,6] => 111000000 => 000111111
[7,6,6] => 1011000000 => 0100111111
[10,4,4] => 1000000110000 => 0111111001111
[10,10] => 110000000000 => 001111111111
[6,6,6,6,6] => 11111000000 => 00000111111
[9,6,3] => 100010001000 => 011101110111
[8,6,4,2] => 100100100100 => 011011011011
[10,10,10,10] => 11110000000000 => 00001111111111
[8,6,4] => 10010010000 => 01101101111
[8,7,6] => 10101000000 => 01010111111
[5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 11111111111111111111111100000 => 00000000000000000000000011111
[5,5,5,5,5,5,5,5,5,5,5,5] => 11111111111100000 => 00000000000011111
[15,15] => 11000000000000000 => 00111111111111111
[5,5,5,5,5,5] => 11111100000 => 00000011111
[15,5,5] => 100000000001100000 => 011111111110011111
[7,7,7,7] => 11110000000 => 00001111111
[7,7,7] => 1110000000 => 0001111111
[11,7,5,1] => 100001001000010 => 011110110111101
[9,7,5,3,1] => 10010010010010 => 01101101101101
[11,9,7,5,3,1] => 10010010010010010 => 01101101101101101
[9,7,5,5,3,1] => 100100110010010 => 011011001101101
[11,8,7,5,4,1] => 10001010010100010 => 01110101101011101
[8,7,6,5,4,3,2,1] => 1010101010101010 => 0101010101010101
[7,7,6,5,4,3,2,1] => 110101010101010 => 001010101010101
[7,6,6,5,4,3,2,1] => 101101010101010 => 010010101010101
[7,6,5,5,4,3,2,1] => 101011010101010 => 010100101010101
[7,6,5,4,4,3,2,1] => 101010110101010 => 010101001010101
[7,6,5,4,3,3,2,1] => 101010101101010 => 010101010010101
[7,6,5,4,3,2,2,1] => 101010101011010 => 010101010100101
[7,6,5,4,3,2,1,1] => 101010101010110 => 010101010101001
[9,8,7,6,5,4,3,2,1] => 101010101010101010 => 010101010101010101
[8,8,7,6,5,4,3,2,1] => 11010101010101010 => 00101010101010101
[6,6,6,5,4,3,2,1] => 11101010101010 => 00010101010101
[8,7,7,6,5,4,3,2,1] => 10110101010101010 => 01001010101010101
[7,5,5,5,4,3,2,1] => 100111010101010 => 011000101010101
[8,7,6,6,5,4,3,2,1] => 10101101010101010 => 01010010101010101
[7,6,4,4,4,3,2,1] => 101001110101010 => 010110001010101
[8,7,6,5,5,4,3,2,1] => 10101011010101010 => 01010100101010101
[7,6,5,3,3,3,2,1] => 101010011101010 => 010101100010101
[8,7,6,5,4,4,3,2,1] => 10101010110101010 => 01010101001010101
[7,6,5,4,2,2,2,1] => 101010100111010 => 010101011000101
[8,7,6,5,4,3,3,2,1] => 10101010101101010 => 01010101010010101
[7,6,5,4,3,1,1,1] => 101010101001110 => 010101010110001
[8,7,6,5,4,3,2,2,1] => 10101010101011010 => 01010101010100101
[8,7,6,5,4,3,2,1,1] => 10101010101010110 => 01010101010101001
[9,6,4] => 100010010000 => 011101101111
[8,5,4,2] => 100010100100 => 011101011011
[9,7,4] => 100100010000 => 011011101111
[5,5,5,5,5] => 1111100000 => 0000011111
[9,9] => 11000000000 => 00111111111
[8,8,8] => 11100000000 => 00011111111
[4,4,4,4,4,4,4] => 11111110000 => 00000001111
[7,7,6,5,4,3,2] => 11010101010100 => 00101010101011
[6,6,6,4,3,2,1] => 1110010101010 => 0001101010101
[5,5,5,5,3,2,1] => 111100101010 => 000011010101
[5,4,3,2,2,2,2] => 101010111100 => 010101000011
[6,5,5,5] => 1011100000 => 0100011111
[5,4,4,4,4] => 1011110000 => 0100001111
[7,6,6,5,4,3,2] => 10110101010100 => 01001010101011
[8,7,7,6,5,4,3,2] => 1011010101010100 => 0100101010101011
[7,6,6,5,4,3,1] => 10110101010010 => 01001010101101
[7,7,6,5,4,3,1] => 11010101010010 => 00101010101101
[8,8,7,6,5,4,3,2] => 1101010101010100 => 0010101010101011
[7,7,6,5,3,2,1] => 11010100101010 => 00101011010101
[8,7,6,5] => 101010100000 => 010101011111
[8,7,5] => 10100100000 => 01011011111
[8,7,6,4] => 101010010000 => 010101101111
[4,4,4,4,4,1] => 1111100010 => 0000011101
[5,5,5,5,1] => 1111000010 => 0000111101
[6,6,6,1] => 1110000010 => 0001111101
[7,7,5,4,3,2,1] => 11001010101010 => 00110101010101
[6,6,6,1,1] => 11100000110 => 00011111001
[7,6,5,4,3,2,2] => 10101010101100 => 01010101010011
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
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
searching the database
Sorry, this map was not found in the database.