Identifier
Mp00095:
Integer partitions
—to binary word⟶
Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
=>
Cc0002;cc-rep-0
[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
[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.