************************************************************************ * 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: Mp00261 ------------------------------------------------------------------------ Map name: Burrows-Wheeler ------------------------------------------------------------------------ Domain: Binary words ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: The Burrows-Wheeler transform of a binary word. The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order. ------------------------------------------------------------------------ References: [1] [[wikipedia:Burrows-Wheeler transform]] ------------------------------------------------------------------------ Code: def mapping(w): return w.BWT() ------------------------------------------------------------------------ Map images: 0 => 0 1 => 1 00 => 00 01 => 10 10 => 10 11 => 11 000 => 000 001 => 100 010 => 100 011 => 110 100 => 100 101 => 110 110 => 110 111 => 111 0000 => 0000 0001 => 1000 0010 => 1000 0011 => 1010 0100 => 1000 0101 => 1100 0110 => 1010 0111 => 1110 1000 => 1000 1001 => 1010 1010 => 1100 1011 => 1110 1100 => 1010 1101 => 1110 1110 => 1110 1111 => 1111 00000 => 00000 00001 => 10000 00010 => 10000 00011 => 10010 00100 => 10000 00101 => 11000 00110 => 10010 00111 => 10110 01000 => 10000 01001 => 11000 01010 => 11000 01011 => 11100 01100 => 10010 01101 => 11100 01110 => 10110 01111 => 11110 10000 => 10000 10001 => 10010 10010 => 11000 10011 => 10110 10100 => 11000 10101 => 11100 10110 => 11100 10111 => 11110 11000 => 10010 11001 => 10110 11010 => 11100 11011 => 11110 11100 => 10110 11101 => 11110 11110 => 11110 11111 => 11111 000000 => 000000 000001 => 100000 000010 => 100000 000011 => 100010 000100 => 100000 000101 => 101000 000110 => 100010 000111 => 100110 001000 => 100000 001001 => 110000 001010 => 101000 001011 => 101100 001100 => 100010 001101 => 110010 001110 => 100110 001111 => 101110 010000 => 100000 010001 => 101000 010010 => 110000 010011 => 110010 010100 => 101000 010101 => 111000 010110 => 101100 010111 => 111010 011000 => 100010 011001 => 101100 011010 => 110010 011011 => 111100 011100 => 100110 011101 => 111010 011110 => 101110 011111 => 111110 100000 => 100000 100001 => 100010 100010 => 101000 100011 => 100110 100100 => 110000 100101 => 101100 100110 => 110010 100111 => 101110 101000 => 101000 101001 => 110010 101010 => 111000 101011 => 111010 101100 => 101100 101101 => 111100 101110 => 111010 101111 => 111110 110000 => 100010 110001 => 100110 110010 => 101100 110011 => 101110 110100 => 110010 110101 => 111010 110110 => 111100 110111 => 111110 111000 => 100110 111001 => 101110 111010 => 111010 111011 => 111110 111100 => 101110 111101 => 111110 111110 => 111110 111111 => 111111 0000000 => 0000000 0000001 => 1000000 0000010 => 1000000 0000011 => 1000010 0000100 => 1000000 0000101 => 1001000 0000110 => 1000010 0000111 => 1000110 0001000 => 1000000 0001001 => 1100000 0001010 => 1001000 0001011 => 1001100 0001100 => 1000010 0001101 => 1010010 0001110 => 1000110 0001111 => 1001110 0010000 => 1000000 0010001 => 1100000 0010010 => 1100000 0010011 => 1100100 0010100 => 1001000 0010101 => 1110000 0010110 => 1001100 0010111 => 1011010 0011000 => 1000010 0011001 => 1100100 0011010 => 1010010 0011011 => 1101100 0011100 => 1000110 0011101 => 1100110 0011110 => 1001110 0011111 => 1011110 0100000 => 1000000 0100001 => 1001000 0100010 => 1100000 0100011 => 1010010 0100100 => 1100000 0100101 => 1110000 0100110 => 1100100 0100111 => 1100110 0101000 => 1001000 0101001 => 1110000 0101010 => 1110000 0101011 => 1111000 0101100 => 1001100 0101101 => 1111000 0101110 => 1011010 0101111 => 1110110 0110000 => 1000010 0110001 => 1001100 0110010 => 1100100 0110011 => 1101100 0110100 => 1010010 0110101 => 1111000 0110110 => 1101100 0110111 => 1111100 0111000 => 1000110 0111001 => 1011010 0111010 => 1100110 0111011 => 1111100 0111100 => 1001110 0111101 => 1110110 0111110 => 1011110 0111111 => 1111110 1000000 => 1000000 1000001 => 1000010 1000010 => 1001000 1000011 => 1000110 1000100 => 1100000 1000101 => 1001100 1000110 => 1010010 1000111 => 1001110 1001000 => 1100000 1001001 => 1100100 1001010 => 1110000 1001011 => 1011010 1001100 => 1100100 1001101 => 1101100 1001110 => 1100110 1001111 => 1011110 1010000 => 1001000 1010001 => 1010010 1010010 => 1110000 1010011 => 1100110 1010100 => 1110000 1010101 => 1111000 1010110 => 1111000 1010111 => 1110110 1011000 => 1001100 1011001 => 1101100 1011010 => 1111000 1011011 => 1111100 1011100 => 1011010 1011101 => 1111100 1011110 => 1110110 1011111 => 1111110 1100000 => 1000010 1100001 => 1000110 1100010 => 1001100 1100011 => 1001110 1100100 => 1100100 1100101 => 1011010 1100110 => 1101100 1100111 => 1011110 1101000 => 1010010 1101001 => 1100110 1101010 => 1111000 1101011 => 1110110 1101100 => 1101100 1101101 => 1111100 1101110 => 1111100 1101111 => 1111110 1110000 => 1000110 1110001 => 1001110 1110010 => 1011010 1110011 => 1011110 1110100 => 1100110 1110101 => 1110110 1110110 => 1111100 1110111 => 1111110 1111000 => 1001110 1111001 => 1011110 1111010 => 1110110 1111011 => 1111110 1111100 => 1011110 1111101 => 1111110 1111110 => 1111110 1111111 => 1111111 00000000 => 00000000 00000001 => 10000000 00000010 => 10000000 00000011 => 10000010 00000100 => 10000000 00000101 => 10001000 00000110 => 10000010 00000111 => 10000110 00001000 => 10000000 00001001 => 10100000 00001010 => 10001000 00001011 => 10001100 00001100 => 10000010 00001101 => 10010010 00001110 => 10000110 00001111 => 10001110 00010000 => 10000000 00010001 => 11000000 00010010 => 10100000 00010011 => 10100100 00010100 => 10001000 00010101 => 10110000 00010110 => 10001100 00010111 => 10011010 00011000 => 10000010 00011001 => 11000010 00011010 => 10010010 00011011 => 10101100 00011100 => 10000110 00011101 => 10100110 00011110 => 10001110 00011111 => 10011110 00100000 => 10000000 00100001 => 10100000 00100010 => 11000000 00100011 => 11000010 00100100 => 10100000 00100101 => 11100000 00100110 => 10100100 00100111 => 11001010 00101000 => 10001000 00101001 => 11100000 00101010 => 10110000 00101011 => 10111000 00101100 => 10001100 00101101 => 11010100 00101110 => 10011010 00101111 => 10110110 00110000 => 10000010 00110001 => 10100100 00110010 => 11000010 00110011 => 11001100 00110100 => 10010010 00110101 => 11100010 00110110 => 10101100 00110111 => 10111100 00111000 => 10000110 00111001 => 11001010 00111010 => 10100110 00111011 => 11011010 00111100 => 10001110 00111101 => 11001110 00111110 => 10011110 00111111 => 10111110 01000000 => 10000000 01000001 => 10001000 01000010 => 10100000 01000011 => 10010010 01000100 => 11000000 01000101 => 10110000 01000110 => 11000010 01000111 => 10100110 01001000 => 10100000 01001001 => 11100000 01001010 => 11100000 01001011 => 11010100 01001100 => 10100100 01001101 => 11100010 01001110 => 11001010 01001111 => 11001110 01010000 => 10001000 01010001 => 10110000 01010010 => 11100000 01010011 => 11100010 01010100 => 10110000 01010101 => 11110000 01010110 => 10111000 01010111 => 11110010 01011000 => 10001100 01011001 => 10111000 01011010 => 11010100 01011011 => 11111000 01011100 => 10011010 01011101 => 11110010 01011110 => 10110110 01011111 => 11101110 01100000 => 10000010 01100001 => 10001100 01100010 => 10100100 01100011 => 10101100 01100100 => 11000010 01100101 => 10111000 01100110 => 11001100 01100111 => 11011010 01101000 => 10010010 01101001 => 11010100 01101010 => 11100010 01101011 => 11111000 01101100 => 10101100 01101101 => 11111000 01101110 => 10111100 01101111 => 11111010 01110000 => 10000110 01110001 => 10011010 01110010 => 11001010 01110011 => 10111100 01110100 => 10100110 01110101 => 11110010 01110110 => 11011010 01110111 => 11111100 01111000 => 10001110 01111001 => 10110110 01111010 => 11001110 01111011 => 11111010 01111100 => 10011110 01111101 => 11101110 01111110 => 10111110 01111111 => 11111110 10000000 => 10000000 10000001 => 10000010 10000010 => 10001000 10000011 => 10000110 10000100 => 10100000 10000101 => 10001100 10000110 => 10010010 10000111 => 10001110 10001000 => 11000000 10001001 => 10100100 10001010 => 10110000 10001011 => 10011010 10001100 => 11000010 10001101 => 10101100 10001110 => 10100110 10001111 => 10011110 10010000 => 10100000 10010001 => 11000010 10010010 => 11100000 10010011 => 11001010 10010100 => 11100000 10010101 => 10111000 10010110 => 11010100 10010111 => 10110110 10011000 => 10100100 10011001 => 11001100 10011010 => 11100010 10011011 => 10111100 10011100 => 11001010 10011101 => 11011010 10011110 => 11001110 10011111 => 10111110 10100000 => 10001000 10100001 => 10010010 10100010 => 10110000 10100011 => 10100110 10100100 => 11100000 10100101 => 11010100 10100110 => 11100010 10100111 => 11001110 10101000 => 10110000 10101001 => 11100010 10101010 => 11110000 10101011 => 11110010 10101100 => 10111000 10101101 => 11111000 10101110 => 11110010 10101111 => 11101110 10110000 => 10001100 10110001 => 10101100 10110010 => 10111000 10110011 => 11011010 10110100 => 11010100 10110101 => 11111000 10110110 => 11111000 10110111 => 11111010 10111000 => 10011010 10111001 => 10111100 10111010 => 11110010 10111011 => 11111100 10111100 => 10110110 10111101 => 11111010 10111110 => 11101110 10111111 => 11111110 11000000 => 10000010 11000001 => 10000110 11000010 => 10001100 11000011 => 10001110 11000100 => 10100100 11000101 => 10011010 11000110 => 10101100 11000111 => 10011110 11001000 => 11000010 11001001 => 11001010 11001010 => 10111000 11001011 => 10110110 11001100 => 11001100 11001101 => 10111100 11001110 => 11011010 11001111 => 10111110 11010000 => 10010010 11010001 => 10100110 11010010 => 11010100 11010011 => 11001110 11010100 => 11100010 11010101 => 11110010 11010110 => 11111000 11010111 => 11101110 11011000 => 10101100 11011001 => 11011010 11011010 => 11111000 11011011 => 11111010 11011100 => 10111100 11011101 => 11111100 11011110 => 11111010 11011111 => 11111110 11100000 => 10000110 11100001 => 10001110 11100010 => 10011010 11100011 => 10011110 11100100 => 11001010 11100101 => 10110110 11100110 => 10111100 11100111 => 10111110 11101000 => 10100110 11101001 => 11001110 11101010 => 11110010 11101011 => 11101110 11101100 => 11011010 11101101 => 11111010 11101110 => 11111100 11101111 => 11111110 11110000 => 10001110 11110001 => 10011110 11110010 => 10110110 11110011 => 10111110 11110100 => 11001110 11110101 => 11101110 11110110 => 11111010 11110111 => 11111110 11111000 => 10011110 11111001 => 10111110 11111010 => 11101110 11111011 => 11111110 11111100 => 10111110 11111101 => 11111110 11111110 => 11111110 11111111 => 11111111 000000000 => 000000000 000000001 => 100000000 000000010 => 100000000 000000011 => 100000010 000000100 => 100000000 000000101 => 100001000 000000110 => 100000010 000000111 => 100000110 000001000 => 100000000 000001001 => 100100000 000001010 => 100001000 000001011 => 100001100 000001100 => 100000010 000001101 => 100010010 000001110 => 100000110 000001111 => 100001110 000010000 => 100000000 000010001 => 110000000 000010010 => 100100000 000010011 => 100100100 000010100 => 100001000 000010101 => 100110000 000010110 => 100001100 000010111 => 100011010 000011000 => 100000010 000011001 => 101000010 000011010 => 100010010 000011011 => 100101100 000011100 => 100000110 000011101 => 100100110 000011110 => 100001110 000011111 => 100011110 000100000 => 100000000 000100001 => 110000000 000100010 => 110000000 000100011 => 110000100 000100100 => 100100000 000100101 => 101100000 000100110 => 100100100 000100111 => 101001010 000101000 => 100001000 000101001 => 110010000 000101010 => 100110000 000101011 => 100111000 000101100 => 100001100 000101101 => 101010100 000101110 => 100011010 000101111 => 100110110 000110000 => 100000010 000110001 => 110000100 000110010 => 101000010 000110011 => 110001100 000110100 => 100010010 000110101 => 101100010 000110110 => 100101100 000110111 => 100111100 000111000 => 100000110 000111001 => 110000110 000111010 => 100100110 000111011 => 101011010 000111100 => 100001110 000111101 => 101001110 000111110 => 100011110 000111111 => 100111110 001000000 => 100000000 001000001 => 100100000 001000010 => 110000000 001000011 => 101000010 001000100 => 110000000 001000101 => 110010000 001000110 => 110000100 001000111 => 110000110 001001000 => 100100000 001001001 => 111000000 001001010 => 101100000 001001011 => 110011000 001001100 => 100100100 001001101 => 111000010 001001110 => 101001010 001001111 => 110010110 001010000 => 100001000 001010001 => 101100000 001010010 => 110010000 001010011 => 111001000 001010100 => 100110000 001010101 => 111100000 001010110 => 100111000 001010111 => 101110010 001011000 => 100001100 001011001 => 110011000 001011010 => 101010100 001011011 => 101111000 001011100 => 100011010 001011101 => 110101010 001011110 => 100110110 001011111 => 101101110 001100000 => 100000010 001100001 => 100100100 001100010 => 110000100 001100011 => 110001100 001100100 => 101000010 001100101 => 111001000 001100110 => 110001100 001100111 => 110011100 001101000 => 100010010 001101001 => 111000010 001101010 => 101100010 001101011 => 111011000 001101100 => 100101100 001101101 => 111001100 001101110 => 100111100 001101111 => 101111010 001110000 => 100000110 001110001 => 101001010 001110010 => 110000110 001110011 => 110011100 001110100 => 100100110 001110101 => 111000110 001110110 => 101011010 001110111 => 110111100 001111000 => 100001110 001111001 => 110010110 001111010 => 101001110 001111011 => 110110110 001111100 => 100011110 001111101 => 110011110 001111110 => 100111110 001111111 => 101111110 010000000 => 100000000 010000001 => 100001000 010000010 => 100100000 010000011 => 100010010 010000100 => 110000000 010000101 => 100110000 010000110 => 101000010 010000111 => 100100110 010001000 => 110000000 010001001 => 101100000 010001010 => 110010000 010001011 => 101010100 010001100 => 110000100 010001101 => 101100010 010001110 => 110000110 010001111 => 101001110 010010000 => 100100000 010010001 => 110010000 010010010 => 111000000 010010011 => 111000010 010010100 => 101100000 010010101 => 111100000 010010110 => 110011000 010010111 => 110101010 010011000 => 100100100 010011001 => 111001000 010011010 => 111000010 010011011 => 111001100 010011100 => 101001010 010011101 => 111000110 010011110 => 110010110 010011111 => 110011110 010100000 => 100001000 010100001 => 100110000 010100010 => 101100000 010100011 => 101100010 010100100 => 110010000 010100101 => 111100000 010100110 => 111001000 010100111 => 111000110 010101000 => 100110000 010101001 => 111100000 010101010 => 111100000 010101011 => 111110000 010101100 => 100111000 010101101 => 111110000 010101110 => 101110010 010101111 => 111100110 010110000 => 100001100 010110001 => 100111000 010110010 => 110011000 010110011 => 111011000 010110100 => 101010100 010110101 => 111110000 010110110 => 101111000 010110111 => 111101100 010111000 => 100011010 010111001 => 101110010 010111010 => 110101010 010111011 => 111110010 010111100 => 100110110 010111101 => 111100110 010111110 => 101101110 010111111 => 111011110 011000000 => 100000010 011000001 => 100001100 011000010 => 100100100 011000011 => 100101100 011000100 => 110000100 011000101 => 100111000 011000110 => 110001100 011000111 => 101011010 011001000 => 101000010 011001001 => 110011000 011001010 => 111001000 011001011 => 101111000 011001100 => 110001100 011001101 => 111011000 011001110 => 110011100 011001111 => 110110110 011010000 => 100010010 011010001 => 101010100 011010010 => 111000010 011010011 => 111001100 011010100 => 101100010 011010101 => 111110000 011010110 => 111011000 011010111 => 111110010 011011000 => 100101100 011011001 => 101111000 011011010 => 111001100 011011011 => 111111000 011011100 => 100111100 011011101 => 111101100 011011110 => 101111010 011011111 => 111110110 011100000 => 100000110 011100001 => 100011010 011100010 => 101001010 011100011 => 100111100 011100100 => 110000110 011100101 => 101110010 011100110 => 110011100 011100111 => 110111100 011101000 => 100100110 011101001 => 110101010 011101010 => 111000110 011101011 => 111101100 011101100 => 101011010 011101101 => 111110010 011101110 => 110111100 011101111 => 111111100 011110000 => 100001110 011110001 => 100110110 011110010 => 110010110 011110011 => 101111010 011110100 => 101001110 011110101 => 111100110 011110110 => 110110110 011110111 => 111111100 011111000 => 100011110 011111001 => 101101110 011111010 => 110011110 011111011 => 111110110 011111100 => 100111110 011111101 => 111011110 011111110 => 101111110 011111111 => 111111110 100000000 => 100000000 100000001 => 100000010 100000010 => 100001000 100000011 => 100000110 100000100 => 100100000 100000101 => 100001100 100000110 => 100010010 100000111 => 100001110 100001000 => 110000000 100001001 => 100100100 100001010 => 100110000 100001011 => 100011010 100001100 => 101000010 100001101 => 100101100 100001110 => 100100110 100001111 => 100011110 100010000 => 110000000 100010001 => 110000100 100010010 => 101100000 100010011 => 101001010 100010100 => 110010000 100010101 => 100111000 100010110 => 101010100 100010111 => 100110110 100011000 => 110000100 100011001 => 110001100 100011010 => 101100010 100011011 => 100111100 100011100 => 110000110 100011101 => 101011010 100011110 => 101001110 100011111 => 100111110 100100000 => 100100000 100100001 => 101000010 100100010 => 110010000 100100011 => 110000110 100100100 => 111000000 100100101 => 110011000 100100110 => 111000010 100100111 => 110010110 100101000 => 101100000 100101001 => 111001000 100101010 => 111100000 100101011 => 101110010 100101100 => 110011000 100101101 => 101111000 100101110 => 110101010 100101111 => 101101110 100110000 => 100100100 100110001 => 110001100 100110010 => 111001000 100110011 => 110011100 100110100 => 111000010 100110101 => 111011000 100110110 => 111001100 100110111 => 101111010 100111000 => 101001010 100111001 => 110011100 100111010 => 111000110 100111011 => 110111100 100111100 => 110010110 100111101 => 110110110 100111110 => 110011110 100111111 => 101111110 101000000 => 100001000 101000001 => 100010010 101000010 => 100110000 101000011 => 100100110 101000100 => 101100000 101000101 => 101010100 101000110 => 101100010 101000111 => 101001110 101001000 => 110010000 101001001 => 111000010 101001010 => 111100000 101001011 => 110101010 101001100 => 111001000 101001101 => 111001100 101001110 => 111000110 101001111 => 110011110 101010000 => 100110000 101010001 => 101100010 101010010 => 111100000 101010011 => 111000110 101010100 => 111100000 101010101 => 111110000 101010110 => 111110000 101010111 => 111100110 101011000 => 100111000 101011001 => 111011000 101011010 => 111110000 101011011 => 111101100 101011100 => 101110010 101011101 => 111110010 101011110 => 111100110 101011111 => 111011110 101100000 => 100001100 101100001 => 100101100 101100010 => 100111000 101100011 => 101011010 101100100 => 110011000 101100101 => 101111000 101100110 => 111011000 101100111 => 110110110 101101000 => 101010100 101101001 => 111001100 101101010 => 111110000 101101011 => 111110010 101101100 => 101111000 101101101 => 111111000 101101110 => 111101100 101101111 => 111110110 101110000 => 100011010 101110001 => 100111100 101110010 => 101110010 101110011 => 110111100 101110100 => 110101010 101110101 => 111101100 101110110 => 111110010 101110111 => 111111100 101111000 => 100110110 101111001 => 101111010 101111010 => 111100110 101111011 => 111111100 101111100 => 101101110 101111101 => 111110110 101111110 => 111011110 101111111 => 111111110 110000000 => 100000010 110000001 => 100000110 110000010 => 100001100 110000011 => 100001110 110000100 => 100100100 110000101 => 100011010 110000110 => 100101100 110000111 => 100011110 110001000 => 110000100 110001001 => 101001010 110001010 => 100111000 110001011 => 100110110 110001100 => 110001100 110001101 => 100111100 110001110 => 101011010 110001111 => 100111110 110010000 => 101000010 110010001 => 110000110 110010010 => 110011000 110010011 => 110010110 110010100 => 111001000 110010101 => 101110010 110010110 => 101111000 110010111 => 101101110 110011000 => 110001100 110011001 => 110011100 110011010 => 111011000 110011011 => 101111010 110011100 => 110011100 110011101 => 110111100 110011110 => 110110110 110011111 => 101111110 110100000 => 100010010 110100001 => 100100110 110100010 => 101010100 110100011 => 101001110 110100100 => 111000010 110100101 => 110101010 110100110 => 111001100 110100111 => 110011110 110101000 => 101100010 110101001 => 111000110 110101010 => 111110000 110101011 => 111100110 110101100 => 111011000 110101101 => 111101100 110101110 => 111110010 110101111 => 111011110 110110000 => 100101100 110110001 => 101011010 110110010 => 101111000 110110011 => 110110110 110110100 => 111001100 110110101 => 111110010 110110110 => 111111000 110110111 => 111110110 110111000 => 100111100 110111001 => 110111100 110111010 => 111101100 110111011 => 111111100 110111100 => 101111010 110111101 => 111111100 110111110 => 111110110 110111111 => 111111110 111000000 => 100000110 111000001 => 100001110 111000010 => 100011010 111000011 => 100011110 111000100 => 101001010 111000101 => 100110110 111000110 => 100111100 111000111 => 100111110 111001000 => 110000110 111001001 => 110010110 111001010 => 101110010 111001011 => 101101110 111001100 => 110011100 111001101 => 101111010 111001110 => 110111100 111001111 => 101111110 111010000 => 100100110 111010001 => 101001110 111010010 => 110101010 111010011 => 110011110 111010100 => 111000110 111010101 => 111100110 111010110 => 111101100 111010111 => 111011110 111011000 => 101011010 111011001 => 110110110 111011010 => 111110010 111011011 => 111110110 111011100 => 110111100 111011101 => 111111100 111011110 => 111111100 111011111 => 111111110 111100000 => 100001110 111100001 => 100011110 111100010 => 100110110 111100011 => 100111110 111100100 => 110010110 111100101 => 101101110 111100110 => 101111010 111100111 => 101111110 111101000 => 101001110 111101001 => 110011110 111101010 => 111100110 111101011 => 111011110 111101100 => 110110110 111101101 => 111110110 111101110 => 111111100 111101111 => 111111110 111110000 => 100011110 111110001 => 100111110 111110010 => 101101110 111110011 => 101111110 111110100 => 110011110 111110101 => 111011110 111110110 => 111110110 111110111 => 111111110 111111000 => 100111110 111111001 => 101111110 111111010 => 111011110 111111011 => 111111110 111111100 => 101111110 111111101 => 111111110 111111110 => 111111110 111111111 => 111111111 1010101010 => 1111100000 1010101100 => 1011110000 1010110010 => 1011110000 1010110100 => 1101101000 1010111000 => 1001110010 1011001010 => 1011110000 1011001100 => 1100111000 1011010010 => 1101101000 1011010100 => 1110100100 1011011000 => 1001111000 1011100010 => 1001110010 1011100100 => 1100110010 1011101000 => 1010101010 1011110000 => 1000110110 1100101010 => 1011110000 1100101100 => 1100111000 1100110010 => 1100111000 1100110100 => 1110001100 1100111000 => 1010011100 1101001010 => 1101101000 1101001100 => 1110001100 1101010010 => 1110100100 1101010100 => 1111000010 1101011000 => 1011011000 1101100010 => 1001111000 1101100100 => 1101010100 1101101000 => 1011001100 1101110000 => 1000111100 1110001010 => 1001110010 1110001100 => 1010011100 1110010010 => 1100110010 1110010100 => 1110010010 1110011000 => 1100011010 1110100010 => 1010101010 1110100100 => 1110000110 1110101000 => 1011000110 1110110000 => 1001011010 1111000010 => 1000110110 1111000100 => 1010010110 1111001000 => 1100001110 1111010000 => 1001001110 1111100000 => 1000011110 1111111111 => 1111111111 1111111110 => 1111111110 1111111001 => 1011111110 1111101101 => 1111101110 101010101010 => 111111000000 101010101100 => 101111100000 101010110010 => 101111100000 101010110100 => 110111010000 101010111000 => 100111100010 101011001010 => 101111100000 101011001100 => 110101110000 101011010010 => 110111010000 101011010100 => 111011001000 101011011000 => 100111101000 101011100010 => 100111100010 101011100100 => 110011100010 101011101000 => 101011010010 101011110000 => 100011100110 101100101010 => 101111100000 101100101100 => 110011110000 101100110010 => 110101110000 101100110100 => 111010011000 101100111000 => 101010110100 101101001010 => 110111010000 101101001100 => 111001101000 101101010010 => 111011001000 101101010100 => 111101000100 101101011000 => 101011110000 101101100010 => 100111101000 101101100100 => 110011101000 101101101000 => 101011011000 101101110000 => 100011101100 101110001010 => 100111100010 101110001100 => 110001110100 101110010010 => 110011100010 101110010100 => 111001100010 101110011000 => 101001110010 101110100010 => 101011010010 101110100100 => 111001001010 101110101000 => 101101001010 101110110000 => 100011110010 101111000010 => 100011100110 101111000100 => 101001100110 101111001000 => 110001010110 101111010000 => 100101010110 101111100000 => 100001101110 110010101010 => 101111100000 110010101100 => 110101110000 110010110010 => 110011110000 110010110100 => 111001101000 110010111000 => 110001110100 110011001010 => 110101110000 110011001100 => 111000111000 110011010010 => 111010011000 110011010100 => 111100010100 110011011000 => 101100111000 110011100010 => 101010110100 110011100100 => 111000101100 110011101000 => 101100011010 110011110000 => 100100111010 110100101010 => 110111010000 110100101100 => 111010011000 110100110010 => 111001101000 110100110100 => 111100001100 110100111000 => 101100101100 110101001010 => 111011001000 110101001100 => 111100010100 110101010010 => 111101000100 110101010100 => 111110000010 110101011000 => 101110110000 110101100010 => 101011110000 110101100100 => 110110101000 110101101000 => 101110011000 110101110000 => 100101110100 110110001010 => 100111101000 110110001100 => 101100111000 110110010010 => 110011101000 110110010100 => 111010100100 110110011000 => 110010111000 110110100010 => 101011011000 110110100100 => 111010001100 110110101000 => 101110001100 110110110000 => 100110111000 110111000010 => 100011101100 110111000100 => 101001101100 110111001000 => 110001011100 110111010000 => 100101011100 110111100000 => 100001111010 111000101010 => 100111100010 111000101100 => 101010110100 111000110010 => 110001110100 111000110100 => 101100101100 111000111000 => 110000111100 111001001010 => 110011100010 111001001100 => 111000101100 111001010010 => 111001100010 111001010100 => 111100100010 111001011000 => 110010110010 111001100010 => 101001110010 111001100100 => 111000110010 111001101000 => 110100011100 111001110000 => 101000111100 111010001010 => 101011010010 111010001100 => 101100011010 111010010010 => 111001001010 111010010100 => 111100001010 111010011000 => 110100101010 111010100010 => 101101001010 111010100100 => 111010000110 111010101000 => 101110000110 111010110000 => 100110110010 111011000010 => 100011110010 111011000100 => 101010101010 111011001000 => 110010011010 111011010000 => 100110011010 111011100000 => 100010111100 111100001010 => 100011100110 111100001100 => 100100111010 111100010010 => 101001100110 111100010100 => 101100100110 111100011000 => 110000111010 111100100010 => 110001010110 111100100100 => 111000100110 111100101000 => 110100010110 111100110000 => 101000110110 111101000010 => 100101010110 111101000100 => 101100001110 111101001000 => 110010001110 111101010000 => 100110001110 111101100000 => 100010110110 111110000010 => 100001101110 111110000100 => 100100101110 111110001000 => 110000101110 111110010000 => 101000011110 111110100000 => 100010011110 111111000000 => 100000111110 ----------------------------------------------------------------------------- Created: Sep 06, 2022 at 18:07 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 06, 2022 at 18:07 by Martin Rubey