Identifier
Mp00095:
Integer partitions
—to binary word⟶
Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Images
=>
Cc0002;cc-rep-0
[1]=>10=>01
[2]=>100=>001
[1,1]=>110=>011
[3]=>1000=>0001
[2,1]=>1010=>0101
[1,1,1]=>1110=>0111
[4]=>10000=>00001
[3,1]=>10010=>01001
[2,2]=>1100=>0011
[2,1,1]=>10110=>01101
[1,1,1,1]=>11110=>01111
[5]=>100000=>000001
[4,1]=>100010=>010001
[3,2]=>10100=>00101
[3,1,1]=>100110=>011001
[2,2,1]=>11010=>01011
[2,1,1,1]=>101110=>011101
[1,1,1,1,1]=>111110=>011111
[6]=>1000000=>0000001
[5,1]=>1000010=>0100001
[4,2]=>100100=>001001
[4,1,1]=>1000110=>0110001
[3,3]=>11000=>00011
[3,2,1]=>101010=>010101
[3,1,1,1]=>1001110=>0111001
[2,2,2]=>11100=>00111
[2,2,1,1]=>110110=>011011
[2,1,1,1,1]=>1011110=>0111101
[1,1,1,1,1,1]=>1111110=>0111111
[7]=>10000000=>00000001
[6,1]=>10000010=>01000001
[5,2]=>1000100=>0010001
[5,1,1]=>10000110=>01100001
[4,3]=>101000=>000101
[4,2,1]=>1001010=>0101001
[4,1,1,1]=>10001110=>01110001
[3,3,1]=>110010=>010011
[3,2,2]=>101100=>001101
[3,2,1,1]=>1010110=>0110101
[3,1,1,1,1]=>10011110=>01111001
[2,2,2,1]=>111010=>010111
[2,2,1,1,1]=>1101110=>0111011
[2,1,1,1,1,1]=>10111110=>01111101
[1,1,1,1,1,1,1]=>11111110=>01111111
[8]=>100000000=>000000001
[7,1]=>100000010=>010000001
[6,2]=>10000100=>00100001
[6,1,1]=>100000110=>011000001
[5,3]=>1001000=>0001001
[5,2,1]=>10001010=>01010001
[5,1,1,1]=>100001110=>011100001
[4,4]=>110000=>000011
[4,3,1]=>1010010=>0100101
[4,2,2]=>1001100=>0011001
[4,2,1,1]=>10010110=>01101001
[4,1,1,1,1]=>100011110=>011110001
[3,3,2]=>110100=>001011
[3,3,1,1]=>1100110=>0110011
[3,2,2,1]=>1011010=>0101101
[3,2,1,1,1]=>10101110=>01110101
[3,1,1,1,1,1]=>100111110=>011111001
[2,2,2,2]=>111100=>001111
[2,2,2,1,1]=>1110110=>0110111
[2,2,1,1,1,1]=>11011110=>01111011
[2,1,1,1,1,1,1]=>101111110=>011111101
[1,1,1,1,1,1,1,1]=>111111110=>011111111
[9]=>1000000000=>0000000001
[8,1]=>1000000010=>0100000001
[7,2]=>100000100=>001000001
[7,1,1]=>1000000110=>0110000001
[6,3]=>10001000=>00010001
[6,2,1]=>100001010=>010100001
[6,1,1,1]=>1000001110=>0111000001
[5,4]=>1010000=>0000101
[5,3,1]=>10010010=>01001001
[5,2,2]=>10001100=>00110001
[5,2,1,1]=>100010110=>011010001
[5,1,1,1,1]=>1000011110=>0111100001
[4,4,1]=>1100010=>0100011
[4,3,2]=>1010100=>0010101
[4,3,1,1]=>10100110=>01100101
[4,2,2,1]=>10011010=>01011001
[4,2,1,1,1]=>100101110=>011101001
[4,1,1,1,1,1]=>1000111110=>0111110001
[3,3,3]=>111000=>000111
[3,3,2,1]=>1101010=>0101011
[3,3,1,1,1]=>11001110=>01110011
[3,2,2,2]=>1011100=>0011101
[3,2,2,1,1]=>10110110=>01101101
[3,2,1,1,1,1]=>101011110=>011110101
[3,1,1,1,1,1,1]=>1001111110=>0111111001
[2,2,2,2,1]=>1111010=>0101111
[2,2,2,1,1,1]=>11101110=>01110111
[2,2,1,1,1,1,1]=>110111110=>011111011
[2,1,1,1,1,1,1,1]=>1011111110=>0111111101
[1,1,1,1,1,1,1,1,1]=>1111111110=>0111111111
[10]=>10000000000=>00000000001
[9,1]=>10000000010=>01000000001
[8,2]=>1000000100=>0010000001
[8,1,1]=>10000000110=>01100000001
[7,3]=>100001000=>000100001
[7,2,1]=>1000001010=>0101000001
[7,1,1,1]=>10000001110=>01110000001
[6,4]=>10010000=>00001001
[6,3,1]=>100010010=>010010001
[6,2,2]=>100001100=>001100001
[6,2,1,1]=>1000010110=>0110100001
[6,1,1,1,1]=>10000011110=>01111000001
[5,5]=>1100000=>0000011
[5,4,1]=>10100010=>01000101
[5,3,2]=>10010100=>00101001
[5,3,1,1]=>100100110=>011001001
[5,2,2,1]=>100011010=>010110001
[5,2,1,1,1]=>1000101110=>0111010001
[5,1,1,1,1,1]=>10000111110=>01111100001
[4,4,2]=>1100100=>0010011
[4,4,1,1]=>11000110=>01100011
[4,3,3]=>1011000=>0001101
[4,3,2,1]=>10101010=>01010101
[4,3,1,1,1]=>101001110=>011100101
[4,2,2,2]=>10011100=>00111001
[4,2,2,1,1]=>100110110=>011011001
[4,2,1,1,1,1]=>1001011110=>0111101001
[4,1,1,1,1,1,1]=>10001111110=>01111110001
[3,3,3,1]=>1110010=>0100111
[3,3,2,2]=>1101100=>0011011
[3,3,2,1,1]=>11010110=>01101011
[3,3,1,1,1,1]=>110011110=>011110011
[3,2,2,2,1]=>10111010=>01011101
[3,2,2,1,1,1]=>101101110=>011101101
[3,2,1,1,1,1,1]=>1010111110=>0111110101
[3,1,1,1,1,1,1,1]=>10011111110=>01111111001
[2,2,2,2,2]=>1111100=>0011111
[2,2,2,2,1,1]=>11110110=>01101111
[2,2,2,1,1,1,1]=>111011110=>011110111
[2,2,1,1,1,1,1,1]=>1101111110=>0111111011
[2,1,1,1,1,1,1,1,1]=>10111111110=>01111111101
[1,1,1,1,1,1,1,1,1,1]=>11111111110=>01111111111
[11]=>100000000000=>000000000001
[10,1]=>100000000010=>010000000001
[9,2]=>10000000100=>00100000001
[9,1,1]=>100000000110=>011000000001
[8,3]=>1000001000=>0001000001
[8,2,1]=>10000001010=>01010000001
[8,1,1,1]=>100000001110=>011100000001
[7,4]=>100010000=>000010001
[7,3,1]=>1000010010=>0100100001
[7,2,2]=>1000001100=>0011000001
[7,2,1,1]=>10000010110=>01101000001
[7,1,1,1,1]=>100000011110=>011110000001
[6,5]=>10100000=>00000101
[6,4,1]=>100100010=>010001001
[6,3,2]=>100010100=>001010001
[6,3,1,1]=>1000100110=>0110010001
[6,2,2,1]=>1000011010=>0101100001
[6,2,1,1,1]=>10000101110=>01110100001
[6,1,1,1,1,1]=>100000111110=>011111000001
[5,5,1]=>11000010=>01000011
[5,4,2]=>10100100=>00100101
[5,4,1,1]=>101000110=>011000101
[5,3,3]=>10011000=>00011001
[5,3,2,1]=>100101010=>010101001
[5,3,1,1,1]=>1001001110=>0111001001
[5,2,2,2]=>100011100=>001110001
[5,2,2,1,1]=>1000110110=>0110110001
[5,2,1,1,1,1]=>10001011110=>01111010001
[5,1,1,1,1,1,1]=>100001111110=>011111100001
[4,4,3]=>1101000=>0001011
[4,4,2,1]=>11001010=>01010011
[4,4,1,1,1]=>110001110=>011100011
[4,3,3,1]=>10110010=>01001101
[4,3,2,2]=>10101100=>00110101
[4,3,2,1,1]=>101010110=>011010101
[4,3,1,1,1,1]=>1010011110=>0111100101
[4,2,2,2,1]=>100111010=>010111001
[4,2,2,1,1,1]=>1001101110=>0111011001
[4,2,1,1,1,1,1]=>10010111110=>01111101001
[4,1,1,1,1,1,1,1]=>100011111110=>011111110001
[3,3,3,2]=>1110100=>0010111
[3,3,3,1,1]=>11100110=>01100111
[3,3,2,2,1]=>11011010=>01011011
[3,3,2,1,1,1]=>110101110=>011101011
[3,3,1,1,1,1,1]=>1100111110=>0111110011
[3,2,2,2,2]=>10111100=>00111101
[3,2,2,2,1,1]=>101110110=>011011101
[3,2,2,1,1,1,1]=>1011011110=>0111101101
[3,2,1,1,1,1,1,1]=>10101111110=>01111110101
[3,1,1,1,1,1,1,1,1]=>100111111110=>011111111001
[2,2,2,2,2,1]=>11111010=>01011111
[2,2,2,2,1,1,1]=>111101110=>011101111
[2,2,2,1,1,1,1,1]=>1110111110=>0111110111
[2,2,1,1,1,1,1,1,1]=>11011111110=>01111111011
[2,1,1,1,1,1,1,1,1,1]=>101111111110=>011111111101
[1,1,1,1,1,1,1,1,1,1,1]=>111111111110=>011111111111
[12]=>1000000000000=>0000000000001
[10,2]=>100000000100=>001000000001
[9,3]=>10000001000=>00010000001
[8,4]=>1000010000=>0000100001
[8,3,1]=>10000010010=>01001000001
[8,2,2]=>10000001100=>00110000001
[8,2,1,1]=>100000010110=>011010000001
[7,5]=>100100000=>000001001
[7,4,1]=>1000100010=>0100010001
[7,3,2]=>1000010100=>0010100001
[7,3,1,1]=>10000100110=>01100100001
[7,2,2,1]=>10000011010=>01011000001
[6,6]=>11000000=>00000011
[6,5,1]=>101000010=>010000101
[6,4,2]=>100100100=>001001001
[6,4,1,1]=>1001000110=>0110001001
[6,3,3]=>100011000=>000110001
[6,3,2,1]=>1000101010=>0101010001
[6,3,1,1,1]=>10001001110=>01110010001
[6,2,2,2]=>1000011100=>0011100001
[6,2,2,1,1]=>10000110110=>01101100001
[6,2,1,1,1,1]=>100001011110=>011110100001
[5,5,2]=>11000100=>00100011
[5,5,1,1]=>110000110=>011000011
[5,4,3]=>10101000=>00010101
[5,4,2,1]=>101001010=>010100101
[5,4,1,1,1]=>1010001110=>0111000101
[5,3,3,1]=>100110010=>010011001
[5,3,2,2]=>100101100=>001101001
[5,3,2,1,1]=>1001010110=>0110101001
[5,3,1,1,1,1]=>10010011110=>01111001001
[5,2,2,2,1]=>1000111010=>0101110001
[5,2,2,1,1,1]=>10001101110=>01110110001
[5,2,1,1,1,1,1]=>100010111110=>011111010001
[4,4,4]=>1110000=>0000111
[4,4,3,1]=>11010010=>01001011
[4,4,2,2]=>11001100=>00110011
[4,4,2,1,1]=>110010110=>011010011
[4,4,1,1,1,1]=>1100011110=>0111100011
[4,3,3,2]=>10110100=>00101101
[4,3,3,1,1]=>101100110=>011001101
[4,3,2,2,1]=>101011010=>010110101
[4,3,2,1,1,1]=>1010101110=>0111010101
[4,3,1,1,1,1,1]=>10100111110=>01111100101
[4,2,2,2,2]=>100111100=>001111001
[4,2,2,2,1,1]=>1001110110=>0110111001
[4,2,2,1,1,1,1]=>10011011110=>01111011001
[4,2,1,1,1,1,1,1]=>100101111110=>011111101001
[3,3,3,3]=>1111000=>0001111
[3,3,3,2,1]=>11101010=>01010111
[3,3,3,1,1,1]=>111001110=>011100111
[3,3,2,2,2]=>11011100=>00111011
[3,3,2,2,1,1]=>110110110=>011011011
[3,3,2,1,1,1,1]=>1101011110=>0111101011
[3,3,1,1,1,1,1,1]=>11001111110=>01111110011
[3,2,2,2,2,1]=>101111010=>010111101
[3,2,2,2,1,1,1]=>1011101110=>0111011101
[3,2,2,1,1,1,1,1]=>10110111110=>01111101101
[2,2,2,2,2,2]=>11111100=>00111111
[2,2,2,2,2,1,1]=>111110110=>011011111
[2,2,2,2,1,1,1,1]=>1111011110=>0111101111
[2,2,2,1,1,1,1,1,1]=>11101111110=>01111110111
[2,2,1,1,1,1,1,1,1,1]=>110111111110=>011111111011
[13]=>10000000000000=>00000000000001
[10,3]=>100000001000=>000100000001
[9,4]=>10000010000=>00001000001
[9,3,1]=>100000010010=>010010000001
[9,2,2]=>100000001100=>001100000001
[8,5]=>1000100000=>0000010001
[8,4,1]=>10000100010=>01000100001
[8,3,2]=>10000010100=>00101000001
[8,3,1,1]=>100000100110=>011001000001
[7,6]=>101000000=>000000101
[7,5,1]=>1001000010=>0100001001
[7,4,2]=>1000100100=>0010010001
[7,3,3]=>1000011000=>0001100001
[7,3,1,1,1]=>100001001110=>011100100001
[7,2,2,2]=>10000011100=>00111000001
[7,2,2,1,1]=>100000110110=>011011000001
[6,6,1]=>110000010=>010000011
[6,5,2]=>101000100=>001000101
[6,5,1,1]=>1010000110=>0110000101
[6,4,3]=>100101000=>000101001
[6,4,2,1]=>1001001010=>0101001001
[6,3,3,1]=>1000110010=>0100110001
[6,3,2,2]=>1000101100=>0011010001
[6,3,1,1,1,1]=>100010011110=>011110010001
[6,2,2,1,1,1]=>100001101110=>011101100001
[5,5,3]=>11001000=>00010011
[5,5,2,1]=>110001010=>010100011
[5,5,1,1,1]=>1100001110=>0111000011
[5,4,4]=>10110000=>00001101
[5,4,3,1]=>101010010=>010010101
[5,4,2,2]=>101001100=>001100101
[5,4,2,1,1]=>1010010110=>0110100101
[5,4,1,1,1,1]=>10100011110=>01111000101
[5,3,3,2]=>100110100=>001011001
[5,3,3,1,1]=>1001100110=>0110011001
[5,3,2,2,1]=>1001011010=>0101101001
[5,3,2,1,1,1]=>10010101110=>01110101001
[5,3,1,1,1,1,1]=>100100111110=>011111001001
[5,2,2,2,2]=>1000111100=>0011110001
[5,2,2,1,1,1,1]=>100011011110=>011110110001
[4,4,4,1]=>11100010=>01000111
[4,4,3,2]=>11010100=>00101011
[4,4,3,1,1]=>110100110=>011001011
[4,4,2,2,1]=>110011010=>010110011
[4,4,2,1,1,1]=>1100101110=>0111010011
[4,4,1,1,1,1,1]=>11000111110=>01111100011
[4,3,3,3]=>10111000=>00011101
[4,3,3,2,1]=>101101010=>010101101
[4,3,3,1,1,1]=>1011001110=>0111001101
[4,3,2,2,2]=>101011100=>001110101
[4,3,2,2,1,1]=>1010110110=>0110110101
[4,3,2,1,1,1,1]=>10101011110=>01111010101
[4,3,1,1,1,1,1,1]=>101001111110=>011111100101
[4,2,2,2,2,1]=>1001111010=>0101111001
[3,3,3,3,1]=>11110010=>01001111
[3,3,3,2,2]=>11101100=>00110111
[3,3,3,2,1,1]=>111010110=>011010111
[3,3,3,1,1,1,1]=>1110011110=>0111100111
[3,3,2,2,2,1]=>110111010=>010111011
[3,3,2,2,1,1,1]=>1101101110=>0111011011
[3,3,2,1,1,1,1,1]=>11010111110=>01111101011
[3,3,1,1,1,1,1,1,1]=>110011111110=>011111110011
[3,2,2,2,2,2]=>101111100=>001111101
[3,2,2,2,2,1,1]=>1011110110=>0110111101
[3,2,2,2,1,1,1,1]=>10111011110=>01111011101
[2,2,2,2,2,2,1]=>111111010=>010111111
[2,2,2,2,2,1,1,1]=>1111101110=>0111011111
[2,2,2,2,1,1,1,1,1]=>11110111110=>01111101111
[2,2,2,1,1,1,1,1,1,1]=>111011111110=>011111110111
[14]=>100000000000000=>000000000000001
[10,4]=>100000010000=>000010000001
[9,5]=>10000100000=>00000100001
[9,3,2]=>100000010100=>001010000001
[8,6]=>1001000000=>0000001001
[8,5,1]=>10001000010=>01000010001
[8,4,2]=>10000100100=>00100100001
[8,4,1,1]=>100001000110=>011000100001
[8,3,2,1]=>100000101010=>010101000001
[8,2,2,2]=>100000011100=>001110000001
[7,7]=>110000000=>000000011
[7,6,1]=>1010000010=>0100000101
[7,5,2]=>1001000100=>0010001001
[7,4,3]=>1000101000=>0001010001
[7,4,2,1]=>10001001010=>01010010001
[7,4,1,1,1]=>100010001110=>011100010001
[6,6,2]=>110000100=>001000011
[6,6,1,1]=>1100000110=>0110000011
[6,5,3]=>101001000=>000100101
[6,5,2,1]=>1010001010=>0101000101
[6,4,4]=>100110000=>000011001
[6,4,3,1]=>1001010010=>0100101001
[6,4,2,2]=>1001001100=>0011001001
[6,4,1,1,1,1]=>100100011110=>011110001001
[6,3,3,2]=>1000110100=>0010110001
[6,3,2,1,1,1]=>100010101110=>011101010001
[6,2,2,2,2]=>10000111100=>00111100001
[6,2,2,2,1,1]=>100001110110=>011011100001
[5,5,4]=>11010000=>00001011
[5,5,3,1]=>110010010=>010010011
[5,5,2,2]=>110001100=>001100011
[5,5,2,1,1]=>1100010110=>0110100011
[5,5,1,1,1,1]=>11000011110=>01111000011
[5,4,4,1]=>101100010=>010001101
[5,4,3,2]=>101010100=>001010101
[5,4,3,1,1]=>1010100110=>0110010101
[5,4,2,2,1]=>1010011010=>0101100101
[5,4,2,1,1,1]=>10100101110=>01110100101
[5,4,1,1,1,1,1]=>101000111110=>011111000101
[5,3,3,3]=>100111000=>000111001
[5,3,3,2,1]=>1001101010=>0101011001
[5,3,2,2,2]=>1001011100=>0011101001
[5,3,2,1,1,1,1]=>100101011110=>011110101001
[5,2,2,2,2,1]=>10001111010=>01011110001
[5,2,2,2,1,1,1]=>100011101110=>011101110001
[4,4,4,2]=>11100100=>00100111
[4,4,4,1,1]=>111000110=>011000111
[4,4,3,3]=>11011000=>00011011
[4,4,3,2,1]=>110101010=>010101011
[4,4,3,1,1,1]=>1101001110=>0111001011
[4,4,2,2,2]=>110011100=>001110011
[4,4,2,2,1,1]=>1100110110=>0110110011
[4,4,2,1,1,1,1]=>11001011110=>01111010011
[4,4,1,1,1,1,1,1]=>110001111110=>011111100011
[4,3,3,3,1]=>101110010=>010011101
[4,3,3,2,2]=>101101100=>001101101
[4,3,3,2,1,1]=>1011010110=>0110101101
[4,3,2,2,2,1]=>1010111010=>0101110101
[4,3,2,2,1,1,1]=>10101101110=>01110110101
[4,3,2,1,1,1,1,1]=>101010111110=>011111010101
[4,2,2,2,2,2]=>1001111100=>0011111001
[4,2,2,2,1,1,1,1]=>100111011110=>011110111001
[3,3,3,3,2]=>11110100=>00101111
[3,3,3,3,1,1]=>111100110=>011001111
[3,3,3,2,2,1]=>111011010=>010110111
[3,3,3,2,1,1,1]=>1110101110=>0111010111
[3,3,3,1,1,1,1,1]=>11100111110=>01111100111
[3,3,2,2,2,2]=>110111100=>001111011
[3,3,2,2,2,1,1]=>1101110110=>0110111011
[3,3,2,2,1,1,1,1]=>11011011110=>01111011011
[3,2,2,2,2,2,1]=>1011111010=>0101111101
[3,2,2,2,2,1,1,1]=>10111101110=>01110111101
[2,2,2,2,2,2,2]=>111111100=>001111111
[2,2,2,2,2,2,1,1]=>1111110110=>0110111111
[2,2,2,2,2,1,1,1,1]=>11111011110=>01111011111
[2,2,2,2,1,1,1,1,1,1]=>111101111110=>011111101111
[15]=>1000000000000000=>0000000000000001
[10,5]=>100000100000=>000001000001
[9,6]=>10001000000=>00000010001
[9,5,1]=>100001000010=>010000100001
[9,4,2]=>100000100100=>001001000001
[9,3,3]=>100000011000=>000110000001
[8,7]=>1010000000=>0000000101
[8,6,1]=>10010000010=>01000001001
[8,5,2]=>10001000100=>00100010001
[8,5,1,1]=>100010000110=>011000010001
[8,4,3]=>10000101000=>00010100001
[8,4,2,1]=>100001001010=>010100100001
[8,3,2,2]=>100000101100=>001101000001
[7,7,1]=>1100000010=>0100000011
[7,6,2]=>1010000100=>0010000101
[7,5,3]=>1001001000=>0001001001
[7,5,2,1]=>10010001010=>01010001001
[7,5,1,1,1]=>100100001110=>011100001001
[7,4,4]=>1000110000=>0000110001
[7,4,3,1]=>10001010010=>01001010001
[7,4,2,1,1]=>100010010110=>011010010001
[7,3,3,1,1]=>100001100110=>011001100001
[7,3,2,2,1]=>100001011010=>010110100001
[7,2,2,2,2]=>100000111100=>001111000001
[6,6,3]=>110001000=>000100011
[6,6,2,1]=>1100001010=>0101000011
[6,6,1,1,1]=>11000001110=>01110000011
[6,5,4]=>101010000=>000010101
[6,5,3,1]=>1010010010=>0100100101
[6,5,2,2]=>1010001100=>0011000101
[6,5,1,1,1,1]=>101000011110=>011110000101
[6,4,4,1]=>1001100010=>0100011001
[6,4,3,2]=>1001010100=>0010101001
[6,4,2,1,1,1]=>100100101110=>011101001001
[6,3,3,3]=>1000111000=>0001110001
[6,3,3,1,1,1]=>100011001110=>011100110001
[6,3,2,2,2]=>10001011100=>00111010001
[6,3,2,2,1,1]=>100010110110=>011011010001
[6,2,2,2,2,1]=>100001111010=>010111100001
[5,5,5]=>11100000=>00000111
[5,5,4,1]=>110100010=>010001011
[5,5,3,2]=>110010100=>001010011
[5,5,3,1,1]=>1100100110=>0110010011
[5,5,2,2,1]=>1100011010=>0101100011
[5,5,2,1,1,1]=>11000101110=>01110100011
[5,5,1,1,1,1,1]=>110000111110=>011111000011
[5,4,4,2]=>101100100=>001001101
[5,4,4,1,1]=>1011000110=>0110001101
[5,4,3,3]=>101011000=>000110101
[5,4,3,2,1]=>1010101010=>0101010101
[5,4,3,1,1,1]=>10101001110=>01110010101
[5,4,2,2,2]=>1010011100=>0011100101
[5,4,2,1,1,1,1]=>101001011110=>011110100101
[5,3,3,3,1]=>1001110010=>0100111001
[5,3,3,2,2]=>1001101100=>0011011001
[5,3,3,1,1,1,1]=>100110011110=>011110011001
[5,3,2,2,2,1]=>10010111010=>01011101001
[5,3,2,2,1,1,1]=>100101101110=>011101101001
[5,2,2,2,2,2]=>10001111100=>00111110001
[5,2,2,2,2,1,1]=>100011110110=>011011110001
[4,4,4,3]=>11101000=>00010111
[4,4,4,2,1]=>111001010=>010100111
[4,4,4,1,1,1]=>1110001110=>0111000111
[4,4,3,3,1]=>110110010=>010011011
[4,4,3,2,2]=>110101100=>001101011
[4,4,3,2,1,1]=>1101010110=>0110101011
[4,4,3,1,1,1,1]=>11010011110=>01111001011
[4,4,2,2,2,1]=>1100111010=>0101110011
[4,4,2,1,1,1,1,1]=>110010111110=>011111010011
[4,3,3,3,2]=>101110100=>001011101
[4,3,3,3,1,1]=>1011100110=>0110011101
[4,3,3,2,2,1]=>1011011010=>0101101101
[4,3,3,2,1,1,1]=>10110101110=>01110101101
[4,3,2,2,2,2]=>1010111100=>0011110101
[4,3,2,2,2,1,1]=>10101110110=>01101110101
[4,3,2,2,1,1,1,1]=>101011011110=>011110110101
[3,3,3,3,3]=>11111000=>00011111
[3,3,3,3,2,1]=>111101010=>010101111
[3,3,3,3,1,1,1]=>1111001110=>0111001111
[3,3,3,2,2,2]=>111011100=>001110111
[3,3,3,2,2,1,1]=>1110110110=>0110110111
[3,3,3,2,1,1,1,1]=>11101011110=>01111010111
[3,3,3,1,1,1,1,1,1]=>111001111110=>011111100111
[3,3,2,2,2,2,1]=>1101111010=>0101111011
[3,3,2,2,2,1,1,1]=>11011101110=>01110111011
[3,3,2,2,1,1,1,1,1]=>110110111110=>011111011011
[3,2,2,2,2,2,2]=>1011111100=>0011111101
[3,2,2,2,2,2,1,1]=>10111110110=>01101111101
[3,2,2,2,2,1,1,1,1]=>101111011110=>011110111101
[2,2,2,2,2,2,2,1]=>1111111010=>0101111111
[2,2,2,2,2,2,1,1,1]=>11111101110=>01110111111
[2,2,2,2,2,1,1,1,1,1]=>111110111110=>011111011111
[12,4]=>10000000010000=>00001000000001
[10,6]=>100001000000=>000000100001
[9,7]=>10010000000=>00000001001
[9,6,1]=>100010000010=>010000010001
[9,5,2]=>100001000100=>001000100001
[8,8]=>1100000000=>0000000011
[8,7,1]=>10100000010=>01000000101
[8,6,2]=>10010000100=>00100001001
[8,5,3]=>10001001000=>00010010001
[8,5,2,1]=>100010001010=>010100010001
[8,4,3,1]=>100001010010=>010010100001
[8,4,2,2]=>100001001100=>001100100001
[8,3,3,2]=>100000110100=>001011000001
[7,7,2]=>1100000100=>0010000011
[7,7,1,1]=>11000000110=>01100000011
[7,6,3]=>1010001000=>0001000101
[7,6,2,1]=>10100001010=>01010000101
[7,6,1,1,1]=>101000001110=>011100000101
[7,5,4]=>1001010000=>0000101001
[7,5,3,1]=>10010010010=>01001001001
[7,5,2,1,1]=>100100010110=>011010001001
[7,4,3,2]=>10001010100=>00101010001
[7,3,2,2,2]=>100001011100=>001110100001
[6,6,4]=>110010000=>000010011
[6,6,3,1]=>1100010010=>0100100011
[6,6,2,2]=>1100001100=>0011000011
[6,6,2,1,1]=>11000010110=>01101000011
[6,6,1,1,1,1]=>110000011110=>011110000011
[6,5,5]=>101100000=>000001101
[6,5,4,1]=>1010100010=>0100010101
[6,5,3,2]=>1010010100=>0010100101
[6,5,2,1,1,1]=>101000101110=>011101000101
[6,4,4,2]=>1001100100=>0010011001
[6,4,3,3]=>1001011000=>0001101001
[6,4,3,2,1]=>10010101010=>01010101001
[6,4,3,1,1,1]=>100101001110=>011100101001
[6,4,2,2,1,1]=>100100110110=>011011001001
[6,3,3,2,1,1]=>100011010110=>011010110001
[6,3,2,2,2,1]=>100010111010=>010111010001
[6,2,2,2,2,2]=>100001111100=>001111100001
[5,5,5,1]=>111000010=>010000111
[5,5,4,2]=>110100100=>001001011
[5,5,4,1,1]=>1101000110=>0110001011
[5,5,3,3]=>110011000=>000110011
[5,5,3,2,1]=>1100101010=>0101010011
[5,5,3,1,1,1]=>11001001110=>01110010011
[5,5,2,2,2]=>1100011100=>0011100011
[5,5,2,1,1,1,1]=>110001011110=>011110100011
[5,4,4,3]=>101101000=>000101101
[5,4,4,2,1]=>1011001010=>0101001101
[5,4,3,3,1]=>1010110010=>0100110101
[5,4,3,2,2]=>1010101100=>0011010101
[5,4,3,2,1,1]=>10101010110=>01101010101
[5,4,3,1,1,1,1]=>101010011110=>011110010101
[5,4,2,2,2,1]=>10100111010=>01011100101
[5,4,2,2,1,1,1]=>101001101110=>011101100101
[5,3,3,3,2]=>1001110100=>0010111001
[5,3,3,2,1,1,1]=>100110101110=>011101011001
[5,3,2,2,2,1,1]=>100101110110=>011011101001
[5,2,2,2,2,2,1]=>100011111010=>010111110001
[4,4,4,4]=>11110000=>00001111
[4,4,4,3,1]=>111010010=>010010111
[4,4,4,2,2]=>111001100=>001100111
[4,4,4,2,1,1]=>1110010110=>0110100111
[4,4,3,3,2]=>110110100=>001011011
[4,4,3,3,1,1]=>1101100110=>0110011011
[4,4,3,2,2,1]=>1101011010=>0101101011
[4,4,3,2,1,1,1]=>11010101110=>01110101011
[4,4,2,2,2,2]=>1100111100=>0011110011
[4,4,2,2,1,1,1,1]=>110011011110=>011110110011
[4,3,3,3,3]=>101111000=>000111101
[4,3,3,3,2,1]=>1011101010=>0101011101
[4,3,3,2,2,2]=>1011011100=>0011101101
[4,3,3,2,2,1,1]=>10110110110=>01101101101
[4,3,3,2,1,1,1,1]=>101101011110=>011110101101
[4,3,2,2,2,2,1]=>10101111010=>01011110101
[4,3,2,2,2,1,1,1]=>101011101110=>011101110101
[4,2,2,2,2,2,2]=>10011111100=>00111111001
[4,2,2,2,2,2,1,1]=>100111110110=>011011111001
[3,3,3,3,3,1]=>111110010=>010011111
[3,3,3,3,2,2]=>111101100=>001101111
[3,3,3,3,2,1,1]=>1111010110=>0110101111
[3,3,3,3,1,1,1,1]=>11110011110=>01111001111
[3,3,3,2,2,2,1]=>1110111010=>0101110111
[3,3,3,2,2,1,1,1]=>11101101110=>01110110111
[3,3,2,2,2,2,2]=>1101111100=>0011111011
[3,3,2,2,2,2,1,1]=>11011110110=>01101111011
[3,3,2,2,2,1,1,1,1]=>110111011110=>011110111011
[3,2,2,2,2,2,2,1]=>10111111010=>01011111101
[2,2,2,2,2,2,2,2]=>1111111100=>0011111111
[2,2,2,2,2,2,2,1,1]=>11111110110=>01101111111
[2,2,2,2,2,2,1,1,1,1]=>111111011110=>011110111111
[10,7]=>100010000000=>000000010001
[9,8]=>10100000000=>00000000101
[9,7,1]=>100100000010=>010000001001
[9,6,2]=>100010000100=>001000010001
[9,5,3]=>100001001000=>000100100001
[9,4,4]=>100000110000=>000011000001
[8,8,1]=>11000000010=>01000000011
[8,7,2]=>10100000100=>00100000101
[8,7,1,1]=>101000000110=>011000000101
[8,6,3]=>10010001000=>00010001001
[8,6,2,1]=>100100001010=>010100001001
[8,5,4]=>10001010000=>00001010001
[8,5,3,1]=>100010010010=>010010010001
[8,5,2,2]=>100010001100=>001100010001
[7,7,3]=>1100001000=>0001000011
[7,7,2,1]=>11000001010=>01010000011
[7,7,1,1,1]=>110000001110=>011100000011
[7,6,4]=>1010010000=>0000100101
[7,6,3,1]=>10100010010=>01001000101
[7,6,2,1,1]=>101000010110=>011010000101
[7,5,5]=>1001100000=>0000011001
[7,5,4,1]=>10010100010=>01000101001
[7,5,3,2]=>10010010100=>00101001001
[7,5,3,1,1]=>100100100110=>011001001001
[7,5,2,2,1]=>100100011010=>010110001001
[7,4,4,1,1]=>100011000110=>011000110001
[7,4,3,2,1]=>100010101010=>010101010001
[7,4,2,2,2]=>100010011100=>001110010001
[7,3,3,3,1]=>100001110010=>010011100001
[7,3,3,2,2]=>100001101100=>001101100001
[6,6,5]=>110100000=>000001011
[6,6,4,1]=>1100100010=>0100010011
[6,6,3,2]=>1100010100=>0010100011
[6,6,3,1,1]=>11000100110=>01100100011
[6,6,2,1,1,1]=>110000101110=>011101000011
[6,5,5,1]=>1011000010=>0100001101
[6,5,4,2]=>1010100100=>0010010101
[6,5,3,3]=>1010011000=>0001100101
[6,5,3,2,1]=>10100101010=>01010100101
[6,5,3,1,1,1]=>101001001110=>011100100101
[6,5,2,2,1,1]=>101000110110=>011011000101
[6,4,4,3]=>1001101000=>0001011001
[6,4,4,1,1,1]=>100110001110=>011100011001
[6,4,3,2,2]=>10010101100=>00110101001
[6,4,3,2,1,1]=>100101010110=>011010101001
[6,4,2,2,2,1]=>100100111010=>010111001001
[6,3,3,3,2]=>10001110100=>00101110001
[6,3,3,3,1,1]=>100011100110=>011001110001
[6,3,2,2,2,2]=>100010111100=>001111010001
[5,5,5,2]=>111000100=>001000111
[5,5,5,1,1]=>1110000110=>0110000111
[5,5,4,3]=>110101000=>000101011
[5,5,4,2,1]=>1101001010=>0101001011
[5,5,4,1,1,1]=>11010001110=>01110001011
[5,5,3,3,1]=>1100110010=>0100110011
[5,5,3,2,2]=>1100101100=>0011010011
[5,5,3,2,1,1]=>11001010110=>01101010011
[5,5,3,1,1,1,1]=>110010011110=>011110010011
[5,5,2,2,1,1,1]=>110001101110=>011101100011
[5,4,4,4]=>101110000=>000011101
[5,4,4,3,1]=>1011010010=>0100101101
[5,4,4,2,2]=>1011001100=>0011001101
[5,4,4,2,1,1]=>10110010110=>01101001101
[5,4,4,1,1,1,1]=>101100011110=>011110001101
[5,4,3,3,2]=>1010110100=>0010110101
[5,4,3,3,1,1]=>10101100110=>01100110101
[5,4,3,2,2,1]=>10101011010=>01011010101
[5,4,3,2,1,1,1]=>101010101110=>011101010101
[5,4,2,2,2,1,1]=>101001110110=>011011100101
[5,3,3,3,3]=>1001111000=>0001111001
[5,3,3,3,2,1]=>10011101010=>01010111001
[5,3,3,3,1,1,1]=>100111001110=>011100111001
[5,3,3,2,2,1,1]=>100110110110=>011011011001
[5,3,2,2,2,2,1]=>100101111010=>010111101001
[5,2,2,2,2,2,2]=>100011111100=>001111110001
[4,4,4,4,1]=>111100010=>010001111
[4,4,4,3,2]=>111010100=>001010111
[4,4,4,3,1,1]=>1110100110=>0110010111
[4,4,4,2,2,1]=>1110011010=>0101100111
[4,4,3,3,3]=>110111000=>000111011
[4,4,3,3,2,1]=>1101101010=>0101011011
[4,4,3,2,2,2]=>1101011100=>0011101011
[4,4,3,2,2,1,1]=>11010110110=>01101101011
[4,4,3,2,1,1,1,1]=>110101011110=>011110101011
[4,4,2,2,2,1,1,1]=>110011101110=>011101110011
[4,3,3,3,3,1]=>1011110010=>0100111101
[4,3,3,3,2,2]=>1011101100=>0011011101
[4,3,3,3,2,1,1]=>10111010110=>01101011101
[4,3,3,2,2,2,1]=>10110111010=>01011101101
[4,3,3,2,2,1,1,1]=>101101101110=>011101101101
[4,3,2,2,2,2,1,1]=>101011110110=>011011110101
[3,3,3,3,3,2]=>111110100=>001011111
[3,3,3,3,3,1,1]=>1111100110=>0110011111
[3,3,3,3,2,2,1]=>1111011010=>0101101111
[3,3,3,3,2,1,1,1]=>11110101110=>01110101111
[3,3,3,3,1,1,1,1,1]=>111100111110=>011111001111
[3,3,3,2,2,2,2]=>1110111100=>0011110111
[3,3,3,2,2,2,1,1]=>11101110110=>01101110111
[3,3,3,2,2,1,1,1,1]=>111011011110=>011110110111
[3,3,2,2,2,2,1,1,1]=>110111101110=>011101111011
[3,2,2,2,2,2,2,2]=>10111111100=>00111111101
[3,2,2,2,2,2,2,1,1]=>101111110110=>011011111101
[2,2,2,2,2,2,2,2,1]=>11111111010=>01011111111
[2,2,2,2,2,2,2,1,1,1]=>111111101110=>011101111111
[]=>=>
[6,5,4,3,2,1]=>101010101010=>010101010101
[5,5,4,3,2,1]=>11010101010=>01010101011
[6,4,4,3,2,1]=>100110101010=>010101011001
[5,4,4,3,2,1]=>10110101010=>01010101101
[4,4,4,3,2,1]=>1110101010=>0101010111
[5,5,3,3,2,1]=>11001101010=>01010110011
[6,4,3,3,2,1]=>100101101010=>010101101001
[5,4,3,3,2,1]=>10101101010=>01010110101
[6,5,4,2,2,1]=>101010011010=>010110010101
[5,5,4,2,2,1]=>11010011010=>01011001011
[6,4,4,2,2,1]=>100110011010=>010110011001
[5,4,4,2,2,1]=>10110011010=>01011001101
[6,5,3,2,2,1]=>101001011010=>010110100101
[5,5,3,2,2,1]=>11001011010=>01011010011
[6,4,3,2,2,1]=>100101011010=>010110101001
[6,5,2,2,2,1]=>101000111010=>010111000101
[6,5,4,3,1,1]=>101010100110=>011001010101
[5,5,4,3,1,1]=>11010100110=>01100101011
[6,4,4,3,1,1]=>100110100110=>011001011001
[5,4,4,3,1,1]=>10110100110=>01100101101
[6,5,3,3,1,1]=>101001100110=>011001100101
[5,5,3,3,1,1]=>11001100110=>01100110011
[6,4,3,3,1,1]=>100101100110=>011001101001
[6,5,4,2,1,1]=>101010010110=>011010010101
[5,5,4,2,1,1]=>11010010110=>01101001011
[6,4,4,2,1,1]=>100110010110=>011010011001
[6,5,3,2,1,1]=>101001010110=>011010100101
[6,5,4,1,1,1]=>101010001110=>011100010101
[6,5,4,3,2]=>10101010100=>00101010101
[5,5,4,3,2]=>1101010100=>0010101011
[6,4,4,3,2]=>10011010100=>00101011001
[5,4,4,3,2]=>1011010100=>0010101101
[5,5,3,3,2]=>1100110100=>0010110011
[6,4,3,3,2]=>10010110100=>00101101001
[5,5,4,2,2]=>1101001100=>0011001011
[6,5,4,3,1]=>10101010010=>01001010101
[5,5,4,3,1]=>1101010010=>0100101011
[6,5,4,2,1]=>10101001010=>01010010101
[6,5,4,3]=>1010101000=>0001010101
[7,6,5,4,3,2,1]=>10101010101010=>01010101010101
[6,6,5,4,3,2,1]=>1101010101010=>0101010101011
[6,5,5,4,3,2,1]=>1011010101010=>0101010101101
[5,5,5,4,3,2,1]=>111010101010=>010101010111
[6,5,4,4,3,2,1]=>1010110101010=>0101010110101
[5,5,4,4,3,2,1]=>110110101010=>010101011011
[6,4,4,4,3,2,1]=>1001110101010=>0101010111001
[5,4,4,4,3,2,1]=>101110101010=>010101011101
[4,4,4,4,3,2,1]=>11110101010=>01010101111
[6,5,4,3,3,2,1]=>1010101101010=>0101011010101
[6,5,3,3,3,2,1]=>1010011101010=>0101011100101
[6,4,3,3,3,2,1]=>1001011101010=>0101011101001
[5,4,3,3,3,2,1]=>101011101010=>010101110101
[6,3,3,3,3,2,1]=>1000111101010=>0101011110001
[3,3,3,3,3,2,1]=>1111101010=>0101011111
[6,5,4,3,2,2,1]=>1010101011010=>0101101010101
[5,5,4,3,2,2,1]=>110101011010=>010110101011
[6,5,4,2,2,2,1]=>1010100111010=>0101110010101
[6,5,3,2,2,2,1]=>1010010111010=>0101110100101
[5,4,3,2,2,2,1]=>101010111010=>010111010101
[6,5,2,2,2,2,1]=>1010001111010=>0101111000101
[4,4,4,4,2,1,1]=>11110010110=>01101001111
[6,5,4,3,2,1,1]=>1010101010110=>0110101010101
[5,5,4,3,2,1,1]=>110101010110=>011010101011
[5,4,4,3,2,1,1]=>101101010110=>011010101101
[6,5,4,3,1,1,1]=>1010101001110=>0111001010101
[5,5,5,2,1,1,1]=>111000101110=>011101000111
[6,5,4,2,1,1,1]=>1010100101110=>0111010010101
[6,5,4,1,1,1,1]=>1010100011110=>0111100010101
[7,6,5,4,3,2]=>1010101010100=>0010101010101
[6,6,5,4,3,2]=>110101010100=>001010101011
[6,5,5,4,3,2]=>101101010100=>001010101101
[5,5,5,4,3,2]=>11101010100=>00101010111
[6,5,4,4,3,2]=>101011010100=>001010110101
[6,5,4,3,3,2]=>101010110100=>001011010101
[5,4,3,3,3,2]=>10101110100=>00101110101
[4,3,3,3,3,2]=>1011110100=>0010111101
[6,5,4,3,2,2]=>101010101100=>001101010101
[4,4,4,3,2,2]=>1110101100=>0011010111
[6,5,4,2,2,2]=>101010011100=>001110010101
[5,4,3,2,2,2]=>10101011100=>00111010101
[6,6,2,2,2,2]=>110000111100=>001111000011
[6,6,5,4,3,1]=>110101010010=>010010101011
[6,5,5,4,3,1]=>101101010010=>010010101101
[4,4,4,4,3,1]=>1111010010=>0100101111
[5,5,5,4,2,1]=>11101001010=>01010010111
[4,4,4,4,2,1]=>1111001010=>0101001111
[6,6,5,3,2,1]=>110100101010=>010101001011
[5,5,5,3,2,1]=>11100101010=>01010100111
[6,6,4,3,2,1]=>110010101010=>010101010011
[7,6,5,4,3]=>101010101000=>000101010101
[6,6,5,4,3]=>11010101000=>00010101011
[6,5,5,4,3]=>10110101000=>00010101101
[5,4,4,4,3]=>1011101000=>0001011101
[5,4,3,3,3]=>1010111000=>0001110101
[7,3,3,3,3]=>100001111000=>000111100001
[7,6,5,4,2]=>101010100100=>001001010101
[4,4,4,4,2]=>111100100=>001001111
[7,6,5,3,2]=>101010010100=>001010010101
[7,6,4,3,2]=>101001010100=>001010100101
[7,5,4,3,2]=>100101010100=>001010101001
[7,6,5,4,1]=>101010100010=>010001010101
[7,5,4,3,1]=>100101010010=>010010101001
[7,6,5,2,1]=>101010001010=>010100010101
[6,6,5,2,1]=>11010001010=>01010001011
[7,6,4,2,1]=>101001001010=>010100100101
[6,6,4,2,1]=>11001001010=>01010010011
[7,5,4,2,1]=>100101001010=>010100101001
[7,6,3,2,1]=>101000101010=>010101000101
[6,6,3,2,1]=>11000101010=>01010100011
[7,6,5,4]=>10101010000=>00001010101
[6,5,5,4]=>1011010000=>0000101101
[7,6,5,3]=>10101001000=>00010010101
[7,6,4,3]=>10100101000=>00010100101
[7,5,4,3]=>10010101000=>00010101001
[7,6,5,2]=>10101000100=>00100010101
[7,6,5]=>1010100000=>0000010101
[2,2,2,2,2,2,2,2,2]=>11111111100=>00111111111
[3,3,3,3,3,3]=>111111000=>000111111
[3,3,3,3,3,3,3,3]=>11111111000=>00011111111
[2,2,2,2,2,2,2,2,2,2]=>111111111100=>001111111111
[3,3,3,3,3,3,1]=>1111110010=>0100111111
[3,3,3,3,3,3,3]=>1111111000=>0001111111
[3,3,3,3,3,2,2]=>1111101100=>0011011111
[4,3,3,3,3,3]=>1011111000=>0001111101
[4,4,4,4,4]=>111110000=>000011111
[4,4,4,3,3,3]=>1110111000=>0001110111
[4,4,4,4,4,4]=>1111110000=>0000111111
[5,5,5,5]=>111100000=>000001111
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]=>111111111111111100=>001111111111111111
[6,6,6,6]=>1111000000=>0000001111
[6,2,2,2,2,2,2]=>1000011111100=>0011111100001
[6,6,6]=>111000000=>000000111
[7,6,6]=>1011000000=>0000001101
[10,4,4]=>1000000110000=>0000110000001
[10,10]=>110000000000=>000000000011
[6,6,6,6,6]=>11111000000=>00000011111
[9,6,3]=>100010001000=>000100010001
[8,6,4,2]=>100100100100=>001001001001
[10,10,10,10]=>11110000000000=>00000000001111
[8,6,4]=>10010010000=>00001001001
[8,7,6]=>10101000000=>00000010101
[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=>00000111111111111111111111111
[5,5,5,5,5,5,5,5,5,5,5,5]=>11111111111100000=>00000111111111111
[15,15]=>11000000000000000=>00000000000000011
[5,5,5,5,5,5]=>11111100000=>00000111111
[15,5,5]=>100000000001100000=>000001100000000001
[7,7,7,7]=>11110000000=>00000001111
[7,7,7]=>1110000000=>0000000111
[11,7,5,1]=>100001001000010=>010000100100001
[9,7,5,3,1]=>10010010010010=>01001001001001
[11,9,7,5,3,1]=>10010010010010010=>01001001001001001
[9,7,5,5,3,1]=>100100110010010=>010010011001001
[11,8,7,5,4,1]=>10001010010100010=>01000101001010001
[8,7,6,5,4,3,2,1]=>1010101010101010=>0101010101010101
[7,7,6,5,4,3,2,1]=>110101010101010=>010101010101011
[7,6,6,5,4,3,2,1]=>101101010101010=>010101010101101
[7,6,5,5,4,3,2,1]=>101011010101010=>010101010110101
[7,6,5,4,4,3,2,1]=>101010110101010=>010101011010101
[7,6,5,4,3,3,2,1]=>101010101101010=>010101101010101
[7,6,5,4,3,2,2,1]=>101010101011010=>010110101010101
[7,6,5,4,3,2,1,1]=>101010101010110=>011010101010101
[9,8,7,6,5,4,3,2,1]=>101010101010101010=>010101010101010101
[8,8,7,6,5,4,3,2,1]=>11010101010101010=>01010101010101011
[6,6,6,5,4,3,2,1]=>11101010101010=>01010101010111
[8,7,7,6,5,4,3,2,1]=>10110101010101010=>01010101010101101
[7,5,5,5,4,3,2,1]=>100111010101010=>010101010111001
[8,7,6,6,5,4,3,2,1]=>10101101010101010=>01010101010110101
[7,6,4,4,4,3,2,1]=>101001110101010=>010101011100101
[8,7,6,5,5,4,3,2,1]=>10101011010101010=>01010101011010101
[7,6,5,3,3,3,2,1]=>101010011101010=>010101110010101
[8,7,6,5,4,4,3,2,1]=>10101010110101010=>01010101101010101
[7,6,5,4,2,2,2,1]=>101010100111010=>010111001010101
[8,7,6,5,4,3,3,2,1]=>10101010101101010=>01010110101010101
[7,6,5,4,3,1,1,1]=>101010101001110=>011100101010101
[8,7,6,5,4,3,2,2,1]=>10101010101011010=>01011010101010101
[8,7,6,5,4,3,2,1,1]=>10101010101010110=>01101010101010101
[9,6,4]=>100010010000=>000010010001
[8,5,4,2]=>100010100100=>001001010001
[9,7,4]=>100100010000=>000010001001
[5,5,5,5,5]=>1111100000=>0000011111
[9,9]=>11000000000=>00000000011
[8,8,8]=>11100000000=>00000000111
[4,4,4,4,4,4,4]=>11111110000=>00001111111
[7,7,6,5,4,3,2]=>11010101010100=>00101010101011
[6,6,6,4,3,2,1]=>1110010101010=>0101010100111
[5,5,5,5,3,2,1]=>111100101010=>010101001111
[5,4,4,4,4,2,1]=>101111001010=>010100111101
[5,4,3,3,3,3,1]=>101011110010=>010011110101
[5,4,3,2,2,2,2]=>101010111100=>001111010101
[6,5,5,5]=>1011100000=>0000011101
[5,4,4,4,4]=>1011110000=>0000111101
[7,6,6,5,4,3,2]=>10110101010100=>00101010101101
[8,7,7,6,5,4,3,2]=>1011010101010100=>0010101010101101
[7,6,6,5,4,3,1]=>10110101010010=>01001010101101
[7,7,6,5,4,3,1]=>11010101010010=>01001010101011
[8,8,7,6,5,4,3,2]=>1101010101010100=>0010101010101011
[7,7,6,5,3,2,1]=>11010100101010=>01010100101011
[8,7,6,5]=>101010100000=>000001010101
[8,7,5]=>10100100000=>00000100101
[4,4,4,4,4,1]=>1111100010=>0100011111
[5,5,5,5,1]=>1111000010=>0100001111
[6,6,6,1]=>1110000010=>0100000111
[7,7,5,4,3,2,1]=>11001010101010=>01010101010011
[7,6,5,4,3,2,2]=>10101010101100=>00110101010101
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.
searching the database
Sorry, this map was not found in the database.