************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * This information is distributed in the hope that it will be * * useful, but WITHOUT ANY WARRANTY; without even the implied * * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00178 ------------------------------------------------------------------------ Map name: to composition ------------------------------------------------------------------------ Domain: Binary words ------------------------------------------------------------------------ Codomain: Integer compositions ------------------------------------------------------------------------ Description: The composition corresponding to a binary word. Prepending \$1\$ to a binary word \$w\$, the \$i\$-th part of the composition equals \$1\$ plus the number of zeros after the \$i\$-th \$1\$ in \$w\$. This map is not surjective, since the empty composition does not have a preimage. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(w): return Compositions().from_code([1] + list(w)) ------------------------------------------------------------------------ Map images: 0 => [2] 1 => [1,1] 00 => [3] 01 => [2,1] 10 => [1,2] 11 => [1,1,1] 000 => [4] 001 => [3,1] 010 => [2,2] 011 => [2,1,1] 100 => [1,3] 101 => [1,2,1] 110 => [1,1,2] 111 => [1,1,1,1] 0000 => [5] 0001 => [4,1] 0010 => [3,2] 0011 => [3,1,1] 0100 => [2,3] 0101 => [2,2,1] 0110 => [2,1,2] 0111 => [2,1,1,1] 1000 => [1,4] 1001 => [1,3,1] 1010 => [1,2,2] 1011 => [1,2,1,1] 1100 => [1,1,3] 1101 => [1,1,2,1] 1110 => [1,1,1,2] 1111 => [1,1,1,1,1] 00000 => [6] 00001 => [5,1] 00010 => [4,2] 00011 => [4,1,1] 00100 => [3,3] 00101 => [3,2,1] 00110 => [3,1,2] 00111 => [3,1,1,1] 01000 => [2,4] 01001 => [2,3,1] 01010 => [2,2,2] 01011 => [2,2,1,1] 01100 => [2,1,3] 01101 => [2,1,2,1] 01110 => [2,1,1,2] 01111 => [2,1,1,1,1] 10000 => [1,5] 10001 => [1,4,1] 10010 => [1,3,2] 10011 => [1,3,1,1] 10100 => [1,2,3] 10101 => [1,2,2,1] 10110 => [1,2,1,2] 10111 => [1,2,1,1,1] 11000 => [1,1,4] 11001 => [1,1,3,1] 11010 => [1,1,2,2] 11011 => [1,1,2,1,1] 11100 => [1,1,1,3] 11101 => [1,1,1,2,1] 11110 => [1,1,1,1,2] 11111 => [1,1,1,1,1,1] 000000 => [7] 000001 => [6,1] 000010 => [5,2] 000011 => [5,1,1] 000100 => [4,3] 000101 => [4,2,1] 000110 => [4,1,2] 000111 => [4,1,1,1] 001000 => [3,4] 001001 => [3,3,1] 001010 => [3,2,2] 001011 => [3,2,1,1] 001100 => [3,1,3] 001101 => [3,1,2,1] 001110 => [3,1,1,2] 001111 => [3,1,1,1,1] 010000 => [2,5] 010001 => [2,4,1] 010010 => [2,3,2] 010011 => [2,3,1,1] 010100 => [2,2,3] 010101 => [2,2,2,1] 010110 => [2,2,1,2] 010111 => [2,2,1,1,1] 011000 => [2,1,4] 011001 => [2,1,3,1] 011010 => [2,1,2,2] 011011 => [2,1,2,1,1] 011100 => [2,1,1,3] 011101 => [2,1,1,2,1] 011110 => [2,1,1,1,2] 011111 => [2,1,1,1,1,1] 100000 => [1,6] 100001 => [1,5,1] 100010 => [1,4,2] 100011 => [1,4,1,1] 100100 => [1,3,3] 100101 => [1,3,2,1] 100110 => [1,3,1,2] 100111 => [1,3,1,1,1] 101000 => [1,2,4] 101001 => [1,2,3,1] 101010 => [1,2,2,2] 101011 => [1,2,2,1,1] 101100 => [1,2,1,3] 101101 => [1,2,1,2,1] 101110 => [1,2,1,1,2] 101111 => [1,2,1,1,1,1] 110000 => [1,1,5] 110001 => [1,1,4,1] 110010 => [1,1,3,2] 110011 => [1,1,3,1,1] 110100 => [1,1,2,3] 110101 => [1,1,2,2,1] 110110 => [1,1,2,1,2] 110111 => [1,1,2,1,1,1] 111000 => [1,1,1,4] 111001 => [1,1,1,3,1] 111010 => [1,1,1,2,2] 111011 => [1,1,1,2,1,1] 111100 => [1,1,1,1,3] 111101 => [1,1,1,1,2,1] 111110 => [1,1,1,1,1,2] 111111 => [1,1,1,1,1,1,1] 0000000 => [8] 0000001 => [7,1] 0000010 => [6,2] 0000011 => [6,1,1] 0000100 => [5,3] 0000101 => [5,2,1] 0000110 => [5,1,2] 0000111 => [5,1,1,1] 0001000 => [4,4] 0001001 => [4,3,1] 0001010 => [4,2,2] 0001011 => [4,2,1,1] 0001100 => [4,1,3] 0001101 => [4,1,2,1] 0001110 => [4,1,1,2] 0001111 => [4,1,1,1,1] 0010000 => [3,5] 0010001 => [3,4,1] 0010010 => [3,3,2] 0010011 => [3,3,1,1] 0010100 => [3,2,3] 0010101 => [3,2,2,1] 0010110 => [3,2,1,2] 0010111 => [3,2,1,1,1] 0011000 => [3,1,4] 0011001 => [3,1,3,1] 0011010 => [3,1,2,2] 0011011 => [3,1,2,1,1] 0011100 => [3,1,1,3] 0011101 => [3,1,1,2,1] 0011110 => [3,1,1,1,2] 0011111 => [3,1,1,1,1,1] 0100000 => [2,6] 0100001 => [2,5,1] 0100010 => [2,4,2] 0100011 => [2,4,1,1] 0100100 => [2,3,3] 0100101 => [2,3,2,1] 0100110 => [2,3,1,2] 0100111 => [2,3,1,1,1] 0101000 => [2,2,4] 0101001 => [2,2,3,1] 0101010 => [2,2,2,2] 0101011 => [2,2,2,1,1] 0101100 => [2,2,1,3] 0101101 => [2,2,1,2,1] 0101110 => [2,2,1,1,2] 0101111 => [2,2,1,1,1,1] 0110000 => [2,1,5] 0110001 => [2,1,4,1] 0110010 => [2,1,3,2] 0110011 => [2,1,3,1,1] 0110100 => [2,1,2,3] 0110101 => [2,1,2,2,1] 0110110 => [2,1,2,1,2] 0110111 => [2,1,2,1,1,1] 0111000 => [2,1,1,4] 0111001 => [2,1,1,3,1] 0111010 => [2,1,1,2,2] 0111011 => [2,1,1,2,1,1] 0111100 => [2,1,1,1,3] 0111101 => [2,1,1,1,2,1] 0111110 => [2,1,1,1,1,2] 0111111 => [2,1,1,1,1,1,1] 1000000 => [1,7] 1000001 => [1,6,1] 1000010 => [1,5,2] 1000011 => [1,5,1,1] 1000100 => [1,4,3] 1000101 => [1,4,2,1] 1000110 => [1,4,1,2] 1000111 => [1,4,1,1,1] 1001000 => [1,3,4] 1001001 => [1,3,3,1] 1001010 => [1,3,2,2] 1001011 => [1,3,2,1,1] 1001100 => [1,3,1,3] 1001101 => [1,3,1,2,1] 1001110 => [1,3,1,1,2] 1001111 => [1,3,1,1,1,1] 1010000 => [1,2,5] 1010001 => [1,2,4,1] 1010010 => [1,2,3,2] 1010011 => [1,2,3,1,1] 1010100 => [1,2,2,3] 1010101 => [1,2,2,2,1] 1010110 => [1,2,2,1,2] 1010111 => [1,2,2,1,1,1] 1011000 => [1,2,1,4] 1011001 => [1,2,1,3,1] 1011010 => [1,2,1,2,2] 1011011 => [1,2,1,2,1,1] 1011100 => [1,2,1,1,3] 1011101 => [1,2,1,1,2,1] 1011110 => [1,2,1,1,1,2] 1011111 => [1,2,1,1,1,1,1] 1100000 => [1,1,6] 1100001 => [1,1,5,1] 1100010 => [1,1,4,2] 1100011 => [1,1,4,1,1] 1100100 => [1,1,3,3] 1100101 => [1,1,3,2,1] 1100110 => [1,1,3,1,2] 1100111 => [1,1,3,1,1,1] 1101000 => [1,1,2,4] 1101001 => [1,1,2,3,1] 1101010 => [1,1,2,2,2] 1101011 => [1,1,2,2,1,1] 1101100 => [1,1,2,1,3] 1101101 => [1,1,2,1,2,1] 1101110 => [1,1,2,1,1,2] 1101111 => [1,1,2,1,1,1,1] 1110000 => [1,1,1,5] 1110001 => [1,1,1,4,1] 1110010 => [1,1,1,3,2] 1110011 => [1,1,1,3,1,1] 1110100 => [1,1,1,2,3] 1110101 => [1,1,1,2,2,1] 1110110 => [1,1,1,2,1,2] 1110111 => [1,1,1,2,1,1,1] 1111000 => [1,1,1,1,4] 1111001 => [1,1,1,1,3,1] 1111010 => [1,1,1,1,2,2] 1111011 => [1,1,1,1,2,1,1] 1111100 => [1,1,1,1,1,3] 1111101 => [1,1,1,1,1,2,1] 1111110 => [1,1,1,1,1,1,2] 1111111 => [1,1,1,1,1,1,1,1] 00000000 => [9] 00000001 => [8,1] 00000010 => [7,2] 00000011 => [7,1,1] 00000100 => [6,3] 00000101 => [6,2,1] 00000110 => [6,1,2] 00000111 => [6,1,1,1] 00001000 => [5,4] 00001001 => [5,3,1] 00001010 => [5,2,2] 00001011 => [5,2,1,1] 00001100 => [5,1,3] 00001101 => [5,1,2,1] 00001110 => [5,1,1,2] 00001111 => [5,1,1,1,1] 00010000 => [4,5] 00010001 => [4,4,1] 00010010 => [4,3,2] 00010011 => [4,3,1,1] 00010100 => [4,2,3] 00010101 => [4,2,2,1] 00010110 => [4,2,1,2] 00010111 => [4,2,1,1,1] 00011000 => [4,1,4] 00011001 => [4,1,3,1] 00011010 => [4,1,2,2] 00011011 => [4,1,2,1,1] 00011100 => [4,1,1,3] 00011101 => [4,1,1,2,1] 00011110 => [4,1,1,1,2] 00011111 => [4,1,1,1,1,1] 00100000 => [3,6] 00100001 => [3,5,1] 00100010 => [3,4,2] 00100011 => [3,4,1,1] 00100100 => [3,3,3] 00100101 => [3,3,2,1] 00100110 => [3,3,1,2] 00100111 => [3,3,1,1,1] 00101000 => [3,2,4] 00101001 => [3,2,3,1] 00101010 => [3,2,2,2] 00101011 => [3,2,2,1,1] 00101100 => [3,2,1,3] 00101101 => [3,2,1,2,1] 00101110 => [3,2,1,1,2] 00101111 => [3,2,1,1,1,1] 00110000 => [3,1,5] 00110001 => [3,1,4,1] 00110010 => [3,1,3,2] 00110011 => [3,1,3,1,1] 00110100 => [3,1,2,3] 00110101 => [3,1,2,2,1] 00110110 => [3,1,2,1,2] 00110111 => [3,1,2,1,1,1] 00111000 => [3,1,1,4] 00111001 => [3,1,1,3,1] 00111010 => [3,1,1,2,2] 00111011 => [3,1,1,2,1,1] 00111100 => [3,1,1,1,3] 00111101 => [3,1,1,1,2,1] 00111110 => [3,1,1,1,1,2] 00111111 => [3,1,1,1,1,1,1] 01000000 => [2,7] 01000001 => [2,6,1] 01000010 => [2,5,2] 01000011 => [2,5,1,1] 01000100 => [2,4,3] 01000101 => [2,4,2,1] 01000110 => [2,4,1,2] 01000111 => [2,4,1,1,1] 01001000 => [2,3,4] 01001001 => [2,3,3,1] 01001010 => [2,3,2,2] 01001011 => [2,3,2,1,1] 01001100 => [2,3,1,3] 01001101 => [2,3,1,2,1] 01001110 => [2,3,1,1,2] 01001111 => [2,3,1,1,1,1] 01010000 => [2,2,5] 01010001 => [2,2,4,1] 01010010 => [2,2,3,2] 01010011 => [2,2,3,1,1] 01010100 => [2,2,2,3] 01010101 => [2,2,2,2,1] 01010110 => [2,2,2,1,2] 01010111 => [2,2,2,1,1,1] 01011000 => [2,2,1,4] 01011001 => [2,2,1,3,1] 01011010 => [2,2,1,2,2] 01011011 => [2,2,1,2,1,1] 01011100 => [2,2,1,1,3] 01011101 => [2,2,1,1,2,1] 01011110 => [2,2,1,1,1,2] 01011111 => [2,2,1,1,1,1,1] 01100000 => [2,1,6] 01100001 => [2,1,5,1] 01100010 => [2,1,4,2] 01100011 => [2,1,4,1,1] 01100100 => [2,1,3,3] 01100101 => [2,1,3,2,1] 01100110 => [2,1,3,1,2] 01100111 => [2,1,3,1,1,1] 01101000 => [2,1,2,4] 01101001 => [2,1,2,3,1] 01101010 => [2,1,2,2,2] 01101011 => [2,1,2,2,1,1] 01101100 => [2,1,2,1,3] 01101101 => [2,1,2,1,2,1] 01101110 => [2,1,2,1,1,2] 01101111 => [2,1,2,1,1,1,1] 01110000 => [2,1,1,5] 01110001 => [2,1,1,4,1] 01110010 => [2,1,1,3,2] 01110011 => [2,1,1,3,1,1] 01110100 => [2,1,1,2,3] 01110101 => [2,1,1,2,2,1] 01110110 => [2,1,1,2,1,2] 01110111 => [2,1,1,2,1,1,1] 01111000 => [2,1,1,1,4] 01111001 => [2,1,1,1,3,1] 01111010 => [2,1,1,1,2,2] 01111011 => [2,1,1,1,2,1,1] 01111100 => [2,1,1,1,1,3] 01111101 => [2,1,1,1,1,2,1] 01111110 => [2,1,1,1,1,1,2] 01111111 => [2,1,1,1,1,1,1,1] 10000000 => [1,8] 10000001 => [1,7,1] 10000010 => [1,6,2] 10000011 => [1,6,1,1] 10000100 => [1,5,3] 10000101 => [1,5,2,1] 10000110 => [1,5,1,2] 10000111 => [1,5,1,1,1] 10001000 => [1,4,4] 10001001 => [1,4,3,1] 10001010 => [1,4,2,2] 10001011 => [1,4,2,1,1] 10001100 => [1,4,1,3] 10001101 => [1,4,1,2,1] 10001110 => [1,4,1,1,2] 10001111 => [1,4,1,1,1,1] 10010000 => [1,3,5] 10010001 => [1,3,4,1] 10010010 => [1,3,3,2] 10010011 => [1,3,3,1,1] 10010100 => [1,3,2,3] 10010101 => [1,3,2,2,1] 10010110 => [1,3,2,1,2] 10010111 => [1,3,2,1,1,1] 10011000 => [1,3,1,4] 10011001 => [1,3,1,3,1] 10011010 => [1,3,1,2,2] 10011011 => [1,3,1,2,1,1] 10011100 => [1,3,1,1,3] 10011101 => [1,3,1,1,2,1] 10011110 => [1,3,1,1,1,2] 10011111 => [1,3,1,1,1,1,1] 10100000 => [1,2,6] 10100001 => [1,2,5,1] 10100010 => [1,2,4,2] 10100011 => [1,2,4,1,1] 10100100 => [1,2,3,3] 10100101 => [1,2,3,2,1] 10100110 => [1,2,3,1,2] 10100111 => [1,2,3,1,1,1] 10101000 => [1,2,2,4] 10101001 => [1,2,2,3,1] 10101010 => [1,2,2,2,2] 10101011 => [1,2,2,2,1,1] 10101100 => [1,2,2,1,3] 10101101 => [1,2,2,1,2,1] 10101110 => [1,2,2,1,1,2] 10101111 => [1,2,2,1,1,1,1] 10110000 => [1,2,1,5] 10110001 => [1,2,1,4,1] 10110010 => [1,2,1,3,2] 10110011 => [1,2,1,3,1,1] 10110100 => [1,2,1,2,3] 10110101 => [1,2,1,2,2,1] 10110110 => [1,2,1,2,1,2] 10110111 => [1,2,1,2,1,1,1] 10111000 => [1,2,1,1,4] 10111001 => [1,2,1,1,3,1] 10111010 => [1,2,1,1,2,2] 10111011 => [1,2,1,1,2,1,1] 10111100 => [1,2,1,1,1,3] 10111101 => [1,2,1,1,1,2,1] 10111110 => [1,2,1,1,1,1,2] 10111111 => [1,2,1,1,1,1,1,1] 11000000 => [1,1,7] 11000001 => [1,1,6,1] 11000010 => [1,1,5,2] 11000011 => [1,1,5,1,1] 11000100 => [1,1,4,3] 11000101 => [1,1,4,2,1] 11000110 => [1,1,4,1,2] 11000111 => [1,1,4,1,1,1] 11001000 => [1,1,3,4] 11001001 => [1,1,3,3,1] 11001010 => [1,1,3,2,2] 11001011 => [1,1,3,2,1,1] 11001100 => [1,1,3,1,3] 11001101 => [1,1,3,1,2,1] 11001110 => [1,1,3,1,1,2] 11001111 => [1,1,3,1,1,1,1] 11010000 => [1,1,2,5] 11010001 => [1,1,2,4,1] 11010010 => [1,1,2,3,2] 11010011 => [1,1,2,3,1,1] 11010100 => [1,1,2,2,3] 11010101 => [1,1,2,2,2,1] 11010110 => [1,1,2,2,1,2] 11010111 => [1,1,2,2,1,1,1] 11011000 => [1,1,2,1,4] 11011001 => [1,1,2,1,3,1] 11011010 => [1,1,2,1,2,2] 11011011 => [1,1,2,1,2,1,1] 11011100 => [1,1,2,1,1,3] 11011101 => [1,1,2,1,1,2,1] 11011110 => [1,1,2,1,1,1,2] 11011111 => [1,1,2,1,1,1,1,1] 11100000 => [1,1,1,6] 11100001 => [1,1,1,5,1] 11100010 => [1,1,1,4,2] 11100011 => [1,1,1,4,1,1] 11100100 => [1,1,1,3,3] 11100101 => [1,1,1,3,2,1] 11100110 => [1,1,1,3,1,2] 11100111 => [1,1,1,3,1,1,1] 11101000 => [1,1,1,2,4] 11101001 => [1,1,1,2,3,1] 11101010 => [1,1,1,2,2,2] 11101011 => [1,1,1,2,2,1,1] 11101100 => [1,1,1,2,1,3] 11101101 => [1,1,1,2,1,2,1] 11101110 => [1,1,1,2,1,1,2] 11101111 => [1,1,1,2,1,1,1,1] 11110000 => [1,1,1,1,5] 11110001 => [1,1,1,1,4,1] 11110010 => [1,1,1,1,3,2] 11110011 => [1,1,1,1,3,1,1] 11110100 => [1,1,1,1,2,3] 11110101 => [1,1,1,1,2,2,1] 11110110 => [1,1,1,1,2,1,2] 11110111 => [1,1,1,1,2,1,1,1] 11111000 => [1,1,1,1,1,4] 11111001 => [1,1,1,1,1,3,1] 11111010 => [1,1,1,1,1,2,2] 11111011 => [1,1,1,1,1,2,1,1] 11111100 => [1,1,1,1,1,1,3] 11111101 => [1,1,1,1,1,1,2,1] 11111110 => [1,1,1,1,1,1,1,2] 11111111 => [1,1,1,1,1,1,1,1,1] 000000000 => [10] 000000001 => [9,1] 000000010 => [8,2] 000000011 => [8,1,1] 000000100 => [7,3] 000000101 => [7,2,1] 000000110 => [7,1,2] 000000111 => [7,1,1,1] 000001000 => [6,4] 000001001 => [6,3,1] 000001010 => [6,2,2] 000001011 => [6,2,1,1] 000001100 => [6,1,3] 000001101 => [6,1,2,1] 000001110 => [6,1,1,2] 000001111 => [6,1,1,1,1] 000010000 => [5,5] 000010001 => [5,4,1] 000010010 => [5,3,2] 000010011 => [5,3,1,1] 000010100 => [5,2,3] 000010101 => [5,2,2,1] 000010110 => [5,2,1,2] 000010111 => [5,2,1,1,1] 000011000 => [5,1,4] 000011001 => [5,1,3,1] 000011010 => [5,1,2,2] 000011011 => [5,1,2,1,1] 000011100 => [5,1,1,3] 000011101 => [5,1,1,2,1] 000011110 => [5,1,1,1,2] 000011111 => [5,1,1,1,1,1] 000100000 => [4,6] 000100001 => [4,5,1] 000100010 => [4,4,2] 000100011 => [4,4,1,1] 000100100 => [4,3,3] 000100101 => [4,3,2,1] 000100110 => [4,3,1,2] 000100111 => [4,3,1,1,1] 000101000 => [4,2,4] 000101001 => [4,2,3,1] 000101010 => [4,2,2,2] 000101011 => [4,2,2,1,1] 000101100 => [4,2,1,3] 000101101 => [4,2,1,2,1] 000101110 => [4,2,1,1,2] 000101111 => [4,2,1,1,1,1] 000110000 => [4,1,5] 000110001 => [4,1,4,1] 000110010 => [4,1,3,2] 000110011 => [4,1,3,1,1] 000110100 => [4,1,2,3] 000110101 => [4,1,2,2,1] 000110110 => [4,1,2,1,2] 000110111 => [4,1,2,1,1,1] 000111000 => [4,1,1,4] 000111001 => [4,1,1,3,1] 000111010 => [4,1,1,2,2] 000111011 => [4,1,1,2,1,1] 000111100 => [4,1,1,1,3] 000111101 => [4,1,1,1,2,1] 000111110 => [4,1,1,1,1,2] 000111111 => [4,1,1,1,1,1,1] 001000000 => [3,7] 001000001 => [3,6,1] 001000010 => [3,5,2] 001000011 => [3,5,1,1] 001000100 => [3,4,3] 001000101 => [3,4,2,1] 001000110 => [3,4,1,2] 001000111 => [3,4,1,1,1] 001001000 => [3,3,4] 001001001 => [3,3,3,1] 001001010 => [3,3,2,2] 001001011 => [3,3,2,1,1] 001001100 => [3,3,1,3] 001001101 => [3,3,1,2,1] 001001110 => [3,3,1,1,2] 001001111 => [3,3,1,1,1,1] 001010000 => [3,2,5] 001010001 => [3,2,4,1] 001010010 => [3,2,3,2] 001010011 => [3,2,3,1,1] 001010100 => [3,2,2,3] 001010101 => [3,2,2,2,1] 001010110 => [3,2,2,1,2] 001010111 => [3,2,2,1,1,1] 001011000 => [3,2,1,4] 001011001 => [3,2,1,3,1] 001011010 => [3,2,1,2,2] 001011011 => [3,2,1,2,1,1] 001011100 => [3,2,1,1,3] 001011101 => [3,2,1,1,2,1] 001011110 => [3,2,1,1,1,2] 001011111 => [3,2,1,1,1,1,1] 001100000 => [3,1,6] 001100001 => [3,1,5,1] 001100010 => [3,1,4,2] 001100011 => [3,1,4,1,1] 001100100 => [3,1,3,3] 001100101 => [3,1,3,2,1] 001100110 => [3,1,3,1,2] 001100111 => [3,1,3,1,1,1] 001101000 => [3,1,2,4] 001101001 => [3,1,2,3,1] 001101010 => [3,1,2,2,2] 001101011 => [3,1,2,2,1,1] 001101100 => [3,1,2,1,3] 001101101 => [3,1,2,1,2,1] 001101110 => [3,1,2,1,1,2] 001101111 => [3,1,2,1,1,1,1] 001110000 => [3,1,1,5] 001110001 => [3,1,1,4,1] 001110010 => [3,1,1,3,2] 001110011 => [3,1,1,3,1,1] 001110100 => [3,1,1,2,3] 001110101 => [3,1,1,2,2,1] 001110110 => [3,1,1,2,1,2] 001110111 => [3,1,1,2,1,1,1] 001111000 => [3,1,1,1,4] 001111001 => [3,1,1,1,3,1] 001111010 => [3,1,1,1,2,2] 001111011 => [3,1,1,1,2,1,1] 001111100 => [3,1,1,1,1,3] 001111101 => [3,1,1,1,1,2,1] 001111110 => [3,1,1,1,1,1,2] 001111111 => [3,1,1,1,1,1,1,1] 010000000 => [2,8] 010000001 => [2,7,1] 010000010 => [2,6,2] 010000011 => [2,6,1,1] 010000100 => [2,5,3] 010000101 => [2,5,2,1] 010000110 => [2,5,1,2] 010000111 => [2,5,1,1,1] 010001000 => [2,4,4] 010001001 => [2,4,3,1] 010001010 => [2,4,2,2] 010001011 => [2,4,2,1,1] 010001100 => [2,4,1,3] 010001101 => [2,4,1,2,1] 010001110 => [2,4,1,1,2] 010001111 => [2,4,1,1,1,1] 010010000 => [2,3,5] 010010001 => [2,3,4,1] 010010010 => [2,3,3,2] 010010011 => [2,3,3,1,1] 010010100 => [2,3,2,3] 010010101 => [2,3,2,2,1] 010010110 => [2,3,2,1,2] 010010111 => [2,3,2,1,1,1] 010011000 => [2,3,1,4] 010011001 => [2,3,1,3,1] 010011010 => [2,3,1,2,2] 010011011 => [2,3,1,2,1,1] 010011100 => [2,3,1,1,3] 010011101 => [2,3,1,1,2,1] 010011110 => [2,3,1,1,1,2] 010011111 => [2,3,1,1,1,1,1] 010100000 => [2,2,6] 010100001 => [2,2,5,1] 010100010 => [2,2,4,2] 010100011 => [2,2,4,1,1] 010100100 => [2,2,3,3] 010100101 => [2,2,3,2,1] 010100110 => [2,2,3,1,2] 010100111 => [2,2,3,1,1,1] 010101000 => [2,2,2,4] 010101001 => [2,2,2,3,1] 010101010 => [2,2,2,2,2] 010101011 => [2,2,2,2,1,1] 010101100 => [2,2,2,1,3] 010101101 => [2,2,2,1,2,1] 010101110 => [2,2,2,1,1,2] 010101111 => [2,2,2,1,1,1,1] 010110000 => [2,2,1,5] 010110001 => [2,2,1,4,1] 010110010 => [2,2,1,3,2] 010110011 => [2,2,1,3,1,1] 010110100 => [2,2,1,2,3] 010110101 => [2,2,1,2,2,1] 010110110 => [2,2,1,2,1,2] 010110111 => [2,2,1,2,1,1,1] 010111000 => [2,2,1,1,4] 010111001 => [2,2,1,1,3,1] 010111010 => [2,2,1,1,2,2] 010111011 => [2,2,1,1,2,1,1] 010111100 => [2,2,1,1,1,3] 010111101 => [2,2,1,1,1,2,1] 010111110 => [2,2,1,1,1,1,2] 010111111 => [2,2,1,1,1,1,1,1] 011000000 => [2,1,7] 011000001 => [2,1,6,1] 011000010 => [2,1,5,2] 011000011 => [2,1,5,1,1] 011000100 => [2,1,4,3] 011000101 => [2,1,4,2,1] 011000110 => [2,1,4,1,2] 011000111 => [2,1,4,1,1,1] 011001000 => [2,1,3,4] 011001001 => [2,1,3,3,1] 011001010 => [2,1,3,2,2] 011001011 => [2,1,3,2,1,1] 011001100 => [2,1,3,1,3] 011001101 => [2,1,3,1,2,1] 011001110 => [2,1,3,1,1,2] 011001111 => [2,1,3,1,1,1,1] 011010000 => [2,1,2,5] 011010001 => [2,1,2,4,1] 011010010 => [2,1,2,3,2] 011010011 => [2,1,2,3,1,1] 011010100 => [2,1,2,2,3] 011010101 => [2,1,2,2,2,1] 011010110 => [2,1,2,2,1,2] 011010111 => [2,1,2,2,1,1,1] 011011000 => [2,1,2,1,4] 011011001 => [2,1,2,1,3,1] 011011010 => [2,1,2,1,2,2] 011011011 => [2,1,2,1,2,1,1] 011011100 => [2,1,2,1,1,3] 011011101 => [2,1,2,1,1,2,1] 011011110 => [2,1,2,1,1,1,2] 011011111 => [2,1,2,1,1,1,1,1] 011100000 => [2,1,1,6] 011100001 => [2,1,1,5,1] 011100010 => [2,1,1,4,2] 011100011 => [2,1,1,4,1,1] 011100100 => [2,1,1,3,3] 011100101 => [2,1,1,3,2,1] 011100110 => [2,1,1,3,1,2] 011100111 => [2,1,1,3,1,1,1] 011101000 => [2,1,1,2,4] 011101001 => [2,1,1,2,3,1] 011101010 => [2,1,1,2,2,2] 011101011 => [2,1,1,2,2,1,1] 011101100 => [2,1,1,2,1,3] 011101101 => [2,1,1,2,1,2,1] 011101110 => [2,1,1,2,1,1,2] 011101111 => [2,1,1,2,1,1,1,1] 011110000 => [2,1,1,1,5] 011110001 => [2,1,1,1,4,1] 011110010 => [2,1,1,1,3,2] 011110011 => [2,1,1,1,3,1,1] 011110100 => [2,1,1,1,2,3] 011110101 => [2,1,1,1,2,2,1] 011110110 => [2,1,1,1,2,1,2] 011110111 => [2,1,1,1,2,1,1,1] 011111000 => [2,1,1,1,1,4] 011111001 => [2,1,1,1,1,3,1] 011111010 => [2,1,1,1,1,2,2] 011111011 => [2,1,1,1,1,2,1,1] 011111100 => [2,1,1,1,1,1,3] 011111101 => [2,1,1,1,1,1,2,1] 011111110 => [2,1,1,1,1,1,1,2] 011111111 => [2,1,1,1,1,1,1,1,1] 100000000 => [1,9] 100000001 => [1,8,1] 100000010 => [1,7,2] 100000011 => [1,7,1,1] 100000100 => [1,6,3] 100000101 => [1,6,2,1] 100000110 => [1,6,1,2] 100000111 => [1,6,1,1,1] 100001000 => [1,5,4] 100001001 => [1,5,3,1] 100001010 => [1,5,2,2] 100001011 => [1,5,2,1,1] 100001100 => [1,5,1,3] 100001101 => [1,5,1,2,1] 100001110 => [1,5,1,1,2] 100001111 => [1,5,1,1,1,1] 100010000 => [1,4,5] 100010001 => [1,4,4,1] 100010010 => [1,4,3,2] 100010011 => [1,4,3,1,1] 100010100 => [1,4,2,3] 100010101 => [1,4,2,2,1] 100010110 => [1,4,2,1,2] 100010111 => [1,4,2,1,1,1] 100011000 => [1,4,1,4] 100011001 => [1,4,1,3,1] 100011010 => [1,4,1,2,2] 100011011 => [1,4,1,2,1,1] 100011100 => [1,4,1,1,3] 100011101 => [1,4,1,1,2,1] 100011110 => [1,4,1,1,1,2] 100011111 => [1,4,1,1,1,1,1] 100100000 => [1,3,6] 100100001 => [1,3,5,1] 100100010 => [1,3,4,2] 100100011 => [1,3,4,1,1] 100100100 => [1,3,3,3] 100100101 => [1,3,3,2,1] 100100110 => [1,3,3,1,2] 100100111 => [1,3,3,1,1,1] 100101000 => [1,3,2,4] 100101001 => [1,3,2,3,1] 100101010 => [1,3,2,2,2] 100101011 => [1,3,2,2,1,1] 100101100 => [1,3,2,1,3] 100101101 => [1,3,2,1,2,1] 100101110 => [1,3,2,1,1,2] 100101111 => [1,3,2,1,1,1,1] 100110000 => [1,3,1,5] 100110001 => [1,3,1,4,1] 100110010 => [1,3,1,3,2] 100110011 => [1,3,1,3,1,1] 100110100 => [1,3,1,2,3] 100110101 => [1,3,1,2,2,1] 100110110 => [1,3,1,2,1,2] 100110111 => [1,3,1,2,1,1,1] 100111000 => [1,3,1,1,4] 100111001 => [1,3,1,1,3,1] 100111010 => [1,3,1,1,2,2] 100111011 => [1,3,1,1,2,1,1] 100111100 => [1,3,1,1,1,3] 100111101 => [1,3,1,1,1,2,1] 100111110 => [1,3,1,1,1,1,2] 100111111 => [1,3,1,1,1,1,1,1] 101000000 => [1,2,7] 101000001 => [1,2,6,1] 101000010 => [1,2,5,2] 101000011 => [1,2,5,1,1] 101000100 => [1,2,4,3] 101000101 => [1,2,4,2,1] 101000110 => [1,2,4,1,2] 101000111 => [1,2,4,1,1,1] 101001000 => [1,2,3,4] 101001001 => [1,2,3,3,1] 101001010 => [1,2,3,2,2] 101001011 => [1,2,3,2,1,1] 101001100 => [1,2,3,1,3] 101001101 => [1,2,3,1,2,1] 101001110 => [1,2,3,1,1,2] 101001111 => [1,2,3,1,1,1,1] 101010000 => [1,2,2,5] 101010001 => [1,2,2,4,1] 101010010 => [1,2,2,3,2] 101010011 => [1,2,2,3,1,1] 101010100 => [1,2,2,2,3] 101010101 => [1,2,2,2,2,1] 101010110 => [1,2,2,2,1,2] 101010111 => [1,2,2,2,1,1,1] 101011000 => [1,2,2,1,4] 101011001 => [1,2,2,1,3,1] 101011010 => [1,2,2,1,2,2] 101011011 => [1,2,2,1,2,1,1] 101011100 => [1,2,2,1,1,3] 101011101 => [1,2,2,1,1,2,1] 101011110 => [1,2,2,1,1,1,2] 101011111 => [1,2,2,1,1,1,1,1] 101100000 => [1,2,1,6] 101100001 => [1,2,1,5,1] 101100010 => [1,2,1,4,2] 101100011 => [1,2,1,4,1,1] 101100100 => [1,2,1,3,3] 101100101 => [1,2,1,3,2,1] 101100110 => [1,2,1,3,1,2] 101100111 => [1,2,1,3,1,1,1] 101101000 => [1,2,1,2,4] 101101001 => [1,2,1,2,3,1] 101101010 => [1,2,1,2,2,2] 101101011 => [1,2,1,2,2,1,1] 101101100 => [1,2,1,2,1,3] 101101101 => [1,2,1,2,1,2,1] 101101110 => [1,2,1,2,1,1,2] 101101111 => [1,2,1,2,1,1,1,1] 101110000 => [1,2,1,1,5] 101110001 => [1,2,1,1,4,1] 101110010 => [1,2,1,1,3,2] 101110011 => [1,2,1,1,3,1,1] 101110100 => [1,2,1,1,2,3] 101110101 => [1,2,1,1,2,2,1] 101110110 => [1,2,1,1,2,1,2] 101110111 => [1,2,1,1,2,1,1,1] 101111000 => [1,2,1,1,1,4] 101111001 => [1,2,1,1,1,3,1] 101111010 => [1,2,1,1,1,2,2] 101111011 => [1,2,1,1,1,2,1,1] 101111100 => [1,2,1,1,1,1,3] 101111101 => [1,2,1,1,1,1,2,1] 101111110 => [1,2,1,1,1,1,1,2] 101111111 => [1,2,1,1,1,1,1,1,1] 110000000 => [1,1,8] 110000001 => [1,1,7,1] 110000010 => [1,1,6,2] 110000011 => [1,1,6,1,1] 110000100 => [1,1,5,3] 110000101 => [1,1,5,2,1] 110000110 => [1,1,5,1,2] 110000111 => [1,1,5,1,1,1] 110001000 => [1,1,4,4] 110001001 => [1,1,4,3,1] 110001010 => [1,1,4,2,2] 110001011 => [1,1,4,2,1,1] 110001100 => [1,1,4,1,3] 110001101 => [1,1,4,1,2,1] 110001110 => [1,1,4,1,1,2] 110001111 => [1,1,4,1,1,1,1] 110010000 => [1,1,3,5] 110010001 => [1,1,3,4,1] 110010010 => [1,1,3,3,2] 110010011 => [1,1,3,3,1,1] 110010100 => [1,1,3,2,3] 110010101 => [1,1,3,2,2,1] 110010110 => [1,1,3,2,1,2] 110010111 => [1,1,3,2,1,1,1] 110011000 => [1,1,3,1,4] 110011001 => [1,1,3,1,3,1] 110011010 => [1,1,3,1,2,2] 110011011 => [1,1,3,1,2,1,1] 110011100 => [1,1,3,1,1,3] 110011101 => [1,1,3,1,1,2,1] 110011110 => [1,1,3,1,1,1,2] 110011111 => [1,1,3,1,1,1,1,1] 110100000 => [1,1,2,6] 110100001 => [1,1,2,5,1] 110100010 => [1,1,2,4,2] 110100011 => [1,1,2,4,1,1] 110100100 => [1,1,2,3,3] 110100101 => [1,1,2,3,2,1] 110100110 => [1,1,2,3,1,2] 110100111 => [1,1,2,3,1,1,1] 110101000 => [1,1,2,2,4] 110101001 => [1,1,2,2,3,1] 110101010 => [1,1,2,2,2,2] 110101011 => [1,1,2,2,2,1,1] 110101100 => [1,1,2,2,1,3] 110101101 => [1,1,2,2,1,2,1] 110101110 => [1,1,2,2,1,1,2] 110101111 => [1,1,2,2,1,1,1,1] 110110000 => [1,1,2,1,5] 110110001 => [1,1,2,1,4,1] 110110010 => [1,1,2,1,3,2] 110110011 => [1,1,2,1,3,1,1] 110110100 => [1,1,2,1,2,3] 110110101 => [1,1,2,1,2,2,1] 110110110 => [1,1,2,1,2,1,2] 110110111 => [1,1,2,1,2,1,1,1] 110111000 => [1,1,2,1,1,4] 110111001 => [1,1,2,1,1,3,1] 110111010 => [1,1,2,1,1,2,2] 110111011 => [1,1,2,1,1,2,1,1] 110111100 => [1,1,2,1,1,1,3] 110111101 => [1,1,2,1,1,1,2,1] 110111110 => [1,1,2,1,1,1,1,2] 110111111 => [1,1,2,1,1,1,1,1,1] 111000000 => [1,1,1,7] 111000001 => [1,1,1,6,1] 111000010 => [1,1,1,5,2] 111000011 => [1,1,1,5,1,1] 111000100 => [1,1,1,4,3] 111000101 => [1,1,1,4,2,1] 111000110 => [1,1,1,4,1,2] 111000111 => [1,1,1,4,1,1,1] 111001000 => [1,1,1,3,4] 111001001 => [1,1,1,3,3,1] 111001010 => [1,1,1,3,2,2] 111001011 => [1,1,1,3,2,1,1] 111001100 => [1,1,1,3,1,3] 111001101 => [1,1,1,3,1,2,1] 111001110 => [1,1,1,3,1,1,2] 111001111 => [1,1,1,3,1,1,1,1] 111010000 => [1,1,1,2,5] 111010001 => [1,1,1,2,4,1] 111010010 => [1,1,1,2,3,2] 111010011 => [1,1,1,2,3,1,1] 111010100 => [1,1,1,2,2,3] 111010101 => [1,1,1,2,2,2,1] 111010110 => [1,1,1,2,2,1,2] 111010111 => [1,1,1,2,2,1,1,1] 111011000 => [1,1,1,2,1,4] 111011001 => [1,1,1,2,1,3,1] 111011010 => [1,1,1,2,1,2,2] 111011011 => [1,1,1,2,1,2,1,1] 111011100 => [1,1,1,2,1,1,3] 111011101 => [1,1,1,2,1,1,2,1] 111011110 => [1,1,1,2,1,1,1,2] 111011111 => [1,1,1,2,1,1,1,1,1] 111100000 => [1,1,1,1,6] 111100001 => [1,1,1,1,5,1] 111100010 => [1,1,1,1,4,2] 111100011 => [1,1,1,1,4,1,1] 111100100 => [1,1,1,1,3,3] 111100101 => [1,1,1,1,3,2,1] 111100110 => [1,1,1,1,3,1,2] 111100111 => [1,1,1,1,3,1,1,1] 111101000 => [1,1,1,1,2,4] 111101001 => [1,1,1,1,2,3,1] 111101010 => [1,1,1,1,2,2,2] 111101011 => [1,1,1,1,2,2,1,1] 111101100 => [1,1,1,1,2,1,3] 111101101 => [1,1,1,1,2,1,2,1] 111101110 => [1,1,1,1,2,1,1,2] 111101111 => [1,1,1,1,2,1,1,1,1] 111110000 => [1,1,1,1,1,5] 111110001 => [1,1,1,1,1,4,1] 111110010 => [1,1,1,1,1,3,2] 111110011 => [1,1,1,1,1,3,1,1] 111110100 => [1,1,1,1,1,2,3] 111110101 => [1,1,1,1,1,2,2,1] 111110110 => [1,1,1,1,1,2,1,2] 111110111 => [1,1,1,1,1,2,1,1,1] 111111000 => [1,1,1,1,1,1,4] 111111001 => [1,1,1,1,1,1,3,1] 111111010 => [1,1,1,1,1,1,2,2] 111111011 => [1,1,1,1,1,1,2,1,1] 111111100 => [1,1,1,1,1,1,1,3] 111111101 => [1,1,1,1,1,1,1,2,1] 111111110 => [1,1,1,1,1,1,1,1,2] 111111111 => [1,1,1,1,1,1,1,1,1,1] 1010101010 => [1,2,2,2,2,2] 1010101100 => [1,2,2,2,1,3] 1010110010 => [1,2,2,1,3,2] 1010110100 => [1,2,2,1,2,3] 1010111000 => [1,2,2,1,1,4] 1011001010 => [1,2,1,3,2,2] 1011001100 => [1,2,1,3,1,3] 1011010010 => [1,2,1,2,3,2] 1011010100 => [1,2,1,2,2,3] 1011011000 => [1,2,1,2,1,4] 1011100010 => [1,2,1,1,4,2] 1011100100 => [1,2,1,1,3,3] 1011101000 => [1,2,1,1,2,4] 1011110000 => [1,2,1,1,1,5] 1100101010 => [1,1,3,2,2,2] 1100101100 => [1,1,3,2,1,3] 1100110010 => [1,1,3,1,3,2] 1100110100 => [1,1,3,1,2,3] 1100111000 => [1,1,3,1,1,4] 1101001010 => [1,1,2,3,2,2] 1101001100 => [1,1,2,3,1,3] 1101010010 => [1,1,2,2,3,2] 1101010100 => [1,1,2,2,2,3] 1101011000 => [1,1,2,2,1,4] 1101100010 => [1,1,2,1,4,2] 1101100100 => [1,1,2,1,3,3] 1101101000 => [1,1,2,1,2,4] 1101110000 => [1,1,2,1,1,5] 1110001010 => [1,1,1,4,2,2] 1110001100 => [1,1,1,4,1,3] 1110010010 => [1,1,1,3,3,2] 1110010100 => [1,1,1,3,2,3] 1110011000 => [1,1,1,3,1,4] 1110100010 => [1,1,1,2,4,2] 1110100100 => [1,1,1,2,3,3] 1110101000 => [1,1,1,2,2,4] 1110110000 => [1,1,1,2,1,5] 1111000010 => [1,1,1,1,5,2] 1111000100 => [1,1,1,1,4,3] 1111001000 => [1,1,1,1,3,4] 1111010000 => [1,1,1,1,2,5] 1111100000 => [1,1,1,1,1,6] 1111111111 => [1,1,1,1,1,1,1,1,1,1,1] 1111111110 => [1,1,1,1,1,1,1,1,1,2] 1111111001 => [1,1,1,1,1,1,1,3,1] 1111101101 => [1,1,1,1,1,2,1,2,1] 101010101010 => [1,2,2,2,2,2,2] 101010101100 => [1,2,2,2,2,1,3] 101010110010 => [1,2,2,2,1,3,2] 101010110100 => [1,2,2,2,1,2,3] 101010111000 => [1,2,2,2,1,1,4] 101011001010 => [1,2,2,1,3,2,2] 101011001100 => [1,2,2,1,3,1,3] 101011010010 => [1,2,2,1,2,3,2] 101011010100 => [1,2,2,1,2,2,3] 101011011000 => [1,2,2,1,2,1,4] 101011100010 => [1,2,2,1,1,4,2] 101011100100 => [1,2,2,1,1,3,3] 101011101000 => [1,2,2,1,1,2,4] 101011110000 => [1,2,2,1,1,1,5] 101100101010 => [1,2,1,3,2,2,2] 101100101100 => [1,2,1,3,2,1,3] 101100110010 => [1,2,1,3,1,3,2] 101100110100 => [1,2,1,3,1,2,3] 101100111000 => [1,2,1,3,1,1,4] 101101001010 => [1,2,1,2,3,2,2] 101101001100 => [1,2,1,2,3,1,3] 101101010010 => [1,2,1,2,2,3,2] 101101010100 => [1,2,1,2,2,2,3] 101101011000 => [1,2,1,2,2,1,4] 101101100010 => [1,2,1,2,1,4,2] 101101100100 => [1,2,1,2,1,3,3] 101101101000 => [1,2,1,2,1,2,4] 101101110000 => [1,2,1,2,1,1,5] 101110001010 => [1,2,1,1,4,2,2] 101110001100 => [1,2,1,1,4,1,3] 101110010010 => [1,2,1,1,3,3,2] 101110010100 => [1,2,1,1,3,2,3] 101110011000 => [1,2,1,1,3,1,4] 101110100010 => [1,2,1,1,2,4,2] 101110100100 => [1,2,1,1,2,3,3] 101110101000 => [1,2,1,1,2,2,4] 101110110000 => [1,2,1,1,2,1,5] 101111000010 => [1,2,1,1,1,5,2] 101111000100 => [1,2,1,1,1,4,3] 101111001000 => [1,2,1,1,1,3,4] 101111010000 => [1,2,1,1,1,2,5] 101111100000 => [1,2,1,1,1,1,6] 110010101010 => [1,1,3,2,2,2,2] 110010101100 => [1,1,3,2,2,1,3] 110010110010 => [1,1,3,2,1,3,2] 110010110100 => [1,1,3,2,1,2,3] 110010111000 => [1,1,3,2,1,1,4] 110011001010 => [1,1,3,1,3,2,2] 110011001100 => [1,1,3,1,3,1,3] 110011010010 => [1,1,3,1,2,3,2] 110011010100 => [1,1,3,1,2,2,3] 110011011000 => [1,1,3,1,2,1,4] 110011100010 => [1,1,3,1,1,4,2] 110011100100 => [1,1,3,1,1,3,3] 110011101000 => [1,1,3,1,1,2,4] 110011110000 => [1,1,3,1,1,1,5] 110100101010 => [1,1,2,3,2,2,2] 110100101100 => [1,1,2,3,2,1,3] 110100110010 => [1,1,2,3,1,3,2] 110100110100 => [1,1,2,3,1,2,3] 110100111000 => [1,1,2,3,1,1,4] 110101001010 => [1,1,2,2,3,2,2] 110101001100 => [1,1,2,2,3,1,3] 110101010010 => [1,1,2,2,2,3,2] 110101010100 => [1,1,2,2,2,2,3] 110101011000 => [1,1,2,2,2,1,4] 110101100010 => [1,1,2,2,1,4,2] 110101100100 => [1,1,2,2,1,3,3] 110101101000 => [1,1,2,2,1,2,4] 110101110000 => [1,1,2,2,1,1,5] 110110001010 => [1,1,2,1,4,2,2] 110110001100 => [1,1,2,1,4,1,3] 110110010010 => [1,1,2,1,3,3,2] 110110010100 => [1,1,2,1,3,2,3] 110110011000 => [1,1,2,1,3,1,4] 110110100010 => [1,1,2,1,2,4,2] 110110100100 => [1,1,2,1,2,3,3] 110110101000 => [1,1,2,1,2,2,4] 110110110000 => [1,1,2,1,2,1,5] 110111000010 => [1,1,2,1,1,5,2] 110111000100 => [1,1,2,1,1,4,3] 110111001000 => [1,1,2,1,1,3,4] 110111010000 => [1,1,2,1,1,2,5] 110111100000 => [1,1,2,1,1,1,6] 111000101010 => [1,1,1,4,2,2,2] 111000101100 => [1,1,1,4,2,1,3] 111000110010 => [1,1,1,4,1,3,2] 111000110100 => [1,1,1,4,1,2,3] 111000111000 => [1,1,1,4,1,1,4] 111001001010 => [1,1,1,3,3,2,2] 111001001100 => [1,1,1,3,3,1,3] 111001010010 => [1,1,1,3,2,3,2] 111001010100 => [1,1,1,3,2,2,3] 111001011000 => [1,1,1,3,2,1,4] 111001100010 => [1,1,1,3,1,4,2] 111001100100 => [1,1,1,3,1,3,3] 111001101000 => [1,1,1,3,1,2,4] 111001110000 => [1,1,1,3,1,1,5] 111010001010 => [1,1,1,2,4,2,2] 111010001100 => [1,1,1,2,4,1,3] 111010010010 => [1,1,1,2,3,3,2] 111010010100 => [1,1,1,2,3,2,3] 111010011000 => [1,1,1,2,3,1,4] 111010100010 => [1,1,1,2,2,4,2] 111010100100 => [1,1,1,2,2,3,3] 111010101000 => [1,1,1,2,2,2,4] 111010110000 => [1,1,1,2,2,1,5] 111011000010 => [1,1,1,2,1,5,2] 111011000100 => [1,1,1,2,1,4,3] 111011001000 => [1,1,1,2,1,3,4] 111011010000 => [1,1,1,2,1,2,5] 111011100000 => [1,1,1,2,1,1,6] 111100001010 => [1,1,1,1,5,2,2] 111100001100 => [1,1,1,1,5,1,3] 111100010010 => [1,1,1,1,4,3,2] 111100010100 => [1,1,1,1,4,2,3] 111100011000 => [1,1,1,1,4,1,4] 111100100010 => [1,1,1,1,3,4,2] 111100100100 => [1,1,1,1,3,3,3] 111100101000 => [1,1,1,1,3,2,4] 111100110000 => [1,1,1,1,3,1,5] 111101000010 => [1,1,1,1,2,5,2] 111101000100 => [1,1,1,1,2,4,3] 111101001000 => [1,1,1,1,2,3,4] 111101010000 => [1,1,1,1,2,2,5] 111101100000 => [1,1,1,1,2,1,6] 111110000010 => [1,1,1,1,1,6,2] 111110000100 => [1,1,1,1,1,5,3] 111110001000 => [1,1,1,1,1,4,4] 111110010000 => [1,1,1,1,1,3,5] 111110100000 => [1,1,1,1,1,2,6] 111111000000 => [1,1,1,1,1,1,7] ----------------------------------------------------------------------------- Created: Sep 21, 2020 at 21:21 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 21, 2020 at 21:21 by Martin Rubey