************************************************************************ * 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: Mp00136 ------------------------------------------------------------------------ Map name: rotate back-to-front ------------------------------------------------------------------------ Domain: Binary words ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: The rotation of a binary word, last letter first. This is the word obtained by moving the last letter to the beginnig. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(w): return Word([int(w[-1])] + [int(l) for l in w[:-1]], [0,1]) ------------------------------------------------------------------------ Map images: 0 => 0 1 => 1 00 => 00 01 => 10 10 => 01 11 => 11 000 => 000 001 => 100 010 => 001 011 => 101 100 => 010 101 => 110 110 => 011 111 => 111 0000 => 0000 0001 => 1000 0010 => 0001 0011 => 1001 0100 => 0010 0101 => 1010 0110 => 0011 0111 => 1011 1000 => 0100 1001 => 1100 1010 => 0101 1011 => 1101 1100 => 0110 1101 => 1110 1110 => 0111 1111 => 1111 00000 => 00000 00001 => 10000 00010 => 00001 00011 => 10001 00100 => 00010 00101 => 10010 00110 => 00011 00111 => 10011 01000 => 00100 01001 => 10100 01010 => 00101 01011 => 10101 01100 => 00110 01101 => 10110 01110 => 00111 01111 => 10111 10000 => 01000 10001 => 11000 10010 => 01001 10011 => 11001 10100 => 01010 10101 => 11010 10110 => 01011 10111 => 11011 11000 => 01100 11001 => 11100 11010 => 01101 11011 => 11101 11100 => 01110 11101 => 11110 11110 => 01111 11111 => 11111 000000 => 000000 000001 => 100000 000010 => 000001 000011 => 100001 000100 => 000010 000101 => 100010 000110 => 000011 000111 => 100011 001000 => 000100 001001 => 100100 001010 => 000101 001011 => 100101 001100 => 000110 001101 => 100110 001110 => 000111 001111 => 100111 010000 => 001000 010001 => 101000 010010 => 001001 010011 => 101001 010100 => 001010 010101 => 101010 010110 => 001011 010111 => 101011 011000 => 001100 011001 => 101100 011010 => 001101 011011 => 101101 011100 => 001110 011101 => 101110 011110 => 001111 011111 => 101111 100000 => 010000 100001 => 110000 100010 => 010001 100011 => 110001 100100 => 010010 100101 => 110010 100110 => 010011 100111 => 110011 101000 => 010100 101001 => 110100 101010 => 010101 101011 => 110101 101100 => 010110 101101 => 110110 101110 => 010111 101111 => 110111 110000 => 011000 110001 => 111000 110010 => 011001 110011 => 111001 110100 => 011010 110101 => 111010 110110 => 011011 110111 => 111011 111000 => 011100 111001 => 111100 111010 => 011101 111011 => 111101 111100 => 011110 111101 => 111110 111110 => 011111 111111 => 111111 0000000 => 0000000 0000001 => 1000000 0000010 => 0000001 0000011 => 1000001 0000100 => 0000010 0000101 => 1000010 0000110 => 0000011 0000111 => 1000011 0001000 => 0000100 0001001 => 1000100 0001010 => 0000101 0001011 => 1000101 0001100 => 0000110 0001101 => 1000110 0001110 => 0000111 0001111 => 1000111 0010000 => 0001000 0010001 => 1001000 0010010 => 0001001 0010011 => 1001001 0010100 => 0001010 0010101 => 1001010 0010110 => 0001011 0010111 => 1001011 0011000 => 0001100 0011001 => 1001100 0011010 => 0001101 0011011 => 1001101 0011100 => 0001110 0011101 => 1001110 0011110 => 0001111 0011111 => 1001111 0100000 => 0010000 0100001 => 1010000 0100010 => 0010001 0100011 => 1010001 0100100 => 0010010 0100101 => 1010010 0100110 => 0010011 0100111 => 1010011 0101000 => 0010100 0101001 => 1010100 0101010 => 0010101 0101011 => 1010101 0101100 => 0010110 0101101 => 1010110 0101110 => 0010111 0101111 => 1010111 0110000 => 0011000 0110001 => 1011000 0110010 => 0011001 0110011 => 1011001 0110100 => 0011010 0110101 => 1011010 0110110 => 0011011 0110111 => 1011011 0111000 => 0011100 0111001 => 1011100 0111010 => 0011101 0111011 => 1011101 0111100 => 0011110 0111101 => 1011110 0111110 => 0011111 0111111 => 1011111 1000000 => 0100000 1000001 => 1100000 1000010 => 0100001 1000011 => 1100001 1000100 => 0100010 1000101 => 1100010 1000110 => 0100011 1000111 => 1100011 1001000 => 0100100 1001001 => 1100100 1001010 => 0100101 1001011 => 1100101 1001100 => 0100110 1001101 => 1100110 1001110 => 0100111 1001111 => 1100111 1010000 => 0101000 1010001 => 1101000 1010010 => 0101001 1010011 => 1101001 1010100 => 0101010 1010101 => 1101010 1010110 => 0101011 1010111 => 1101011 1011000 => 0101100 1011001 => 1101100 1011010 => 0101101 1011011 => 1101101 1011100 => 0101110 1011101 => 1101110 1011110 => 0101111 1011111 => 1101111 1100000 => 0110000 1100001 => 1110000 1100010 => 0110001 1100011 => 1110001 1100100 => 0110010 1100101 => 1110010 1100110 => 0110011 1100111 => 1110011 1101000 => 0110100 1101001 => 1110100 1101010 => 0110101 1101011 => 1110101 1101100 => 0110110 1101101 => 1110110 1101110 => 0110111 1101111 => 1110111 1110000 => 0111000 1110001 => 1111000 1110010 => 0111001 1110011 => 1111001 1110100 => 0111010 1110101 => 1111010 1110110 => 0111011 1110111 => 1111011 1111000 => 0111100 1111001 => 1111100 1111010 => 0111101 1111011 => 1111101 1111100 => 0111110 1111101 => 1111110 1111110 => 0111111 1111111 => 1111111 00000000 => 00000000 00000001 => 10000000 00000010 => 00000001 00000011 => 10000001 00000100 => 00000010 00000101 => 10000010 00000110 => 00000011 00000111 => 10000011 00001000 => 00000100 00001001 => 10000100 00001010 => 00000101 00001011 => 10000101 00001100 => 00000110 00001101 => 10000110 00001110 => 00000111 00001111 => 10000111 00010000 => 00001000 00010001 => 10001000 00010010 => 00001001 00010011 => 10001001 00010100 => 00001010 00010101 => 10001010 00010110 => 00001011 00010111 => 10001011 00011000 => 00001100 00011001 => 10001100 00011010 => 00001101 00011011 => 10001101 00011100 => 00001110 00011101 => 10001110 00011110 => 00001111 00011111 => 10001111 00100000 => 00010000 00100001 => 10010000 00100010 => 00010001 00100011 => 10010001 00100100 => 00010010 00100101 => 10010010 00100110 => 00010011 00100111 => 10010011 00101000 => 00010100 00101001 => 10010100 00101010 => 00010101 00101011 => 10010101 00101100 => 00010110 00101101 => 10010110 00101110 => 00010111 00101111 => 10010111 00110000 => 00011000 00110001 => 10011000 00110010 => 00011001 00110011 => 10011001 00110100 => 00011010 00110101 => 10011010 00110110 => 00011011 00110111 => 10011011 00111000 => 00011100 00111001 => 10011100 00111010 => 00011101 00111011 => 10011101 00111100 => 00011110 00111101 => 10011110 00111110 => 00011111 00111111 => 10011111 01000000 => 00100000 01000001 => 10100000 01000010 => 00100001 01000011 => 10100001 01000100 => 00100010 01000101 => 10100010 01000110 => 00100011 01000111 => 10100011 01001000 => 00100100 01001001 => 10100100 01001010 => 00100101 01001011 => 10100101 01001100 => 00100110 01001101 => 10100110 01001110 => 00100111 01001111 => 10100111 01010000 => 00101000 01010001 => 10101000 01010010 => 00101001 01010011 => 10101001 01010100 => 00101010 01010101 => 10101010 01010110 => 00101011 01010111 => 10101011 01011000 => 00101100 01011001 => 10101100 01011010 => 00101101 01011011 => 10101101 01011100 => 00101110 01011101 => 10101110 01011110 => 00101111 01011111 => 10101111 01100000 => 00110000 01100001 => 10110000 01100010 => 00110001 01100011 => 10110001 01100100 => 00110010 01100101 => 10110010 01100110 => 00110011 01100111 => 10110011 01101000 => 00110100 01101001 => 10110100 01101010 => 00110101 01101011 => 10110101 01101100 => 00110110 01101101 => 10110110 01101110 => 00110111 01101111 => 10110111 01110000 => 00111000 01110001 => 10111000 01110010 => 00111001 01110011 => 10111001 01110100 => 00111010 01110101 => 10111010 01110110 => 00111011 01110111 => 10111011 01111000 => 00111100 01111001 => 10111100 01111010 => 00111101 01111011 => 10111101 01111100 => 00111110 01111101 => 10111110 01111110 => 00111111 01111111 => 10111111 10000000 => 01000000 10000001 => 11000000 10000010 => 01000001 10000011 => 11000001 10000100 => 01000010 10000101 => 11000010 10000110 => 01000011 10000111 => 11000011 10001000 => 01000100 10001001 => 11000100 10001010 => 01000101 10001011 => 11000101 10001100 => 01000110 10001101 => 11000110 10001110 => 01000111 10001111 => 11000111 10010000 => 01001000 10010001 => 11001000 10010010 => 01001001 10010011 => 11001001 10010100 => 01001010 10010101 => 11001010 10010110 => 01001011 10010111 => 11001011 10011000 => 01001100 10011001 => 11001100 10011010 => 01001101 10011011 => 11001101 10011100 => 01001110 10011101 => 11001110 10011110 => 01001111 10011111 => 11001111 10100000 => 01010000 10100001 => 11010000 10100010 => 01010001 10100011 => 11010001 10100100 => 01010010 10100101 => 11010010 10100110 => 01010011 10100111 => 11010011 10101000 => 01010100 10101001 => 11010100 10101010 => 01010101 10101011 => 11010101 10101100 => 01010110 10101101 => 11010110 10101110 => 01010111 10101111 => 11010111 10110000 => 01011000 10110001 => 11011000 10110010 => 01011001 10110011 => 11011001 10110100 => 01011010 10110101 => 11011010 10110110 => 01011011 10110111 => 11011011 10111000 => 01011100 10111001 => 11011100 10111010 => 01011101 10111011 => 11011101 10111100 => 01011110 10111101 => 11011110 10111110 => 01011111 10111111 => 11011111 11000000 => 01100000 11000001 => 11100000 11000010 => 01100001 11000011 => 11100001 11000100 => 01100010 11000101 => 11100010 11000110 => 01100011 11000111 => 11100011 11001000 => 01100100 11001001 => 11100100 11001010 => 01100101 11001011 => 11100101 11001100 => 01100110 11001101 => 11100110 11001110 => 01100111 11001111 => 11100111 11010000 => 01101000 11010001 => 11101000 11010010 => 01101001 11010011 => 11101001 11010100 => 01101010 11010101 => 11101010 11010110 => 01101011 11010111 => 11101011 11011000 => 01101100 11011001 => 11101100 11011010 => 01101101 11011011 => 11101101 11011100 => 01101110 11011101 => 11101110 11011110 => 01101111 11011111 => 11101111 11100000 => 01110000 11100001 => 11110000 11100010 => 01110001 11100011 => 11110001 11100100 => 01110010 11100101 => 11110010 11100110 => 01110011 11100111 => 11110011 11101000 => 01110100 11101001 => 11110100 11101010 => 01110101 11101011 => 11110101 11101100 => 01110110 11101101 => 11110110 11101110 => 01110111 11101111 => 11110111 11110000 => 01111000 11110001 => 11111000 11110010 => 01111001 11110011 => 11111001 11110100 => 01111010 11110101 => 11111010 11110110 => 01111011 11110111 => 11111011 11111000 => 01111100 11111001 => 11111100 11111010 => 01111101 11111011 => 11111101 11111100 => 01111110 11111101 => 11111110 11111110 => 01111111 11111111 => 11111111 000000000 => 000000000 000000001 => 100000000 000000010 => 000000001 000000011 => 100000001 000000100 => 000000010 000000101 => 100000010 000000110 => 000000011 000000111 => 100000011 000001000 => 000000100 000001001 => 100000100 000001010 => 000000101 000001011 => 100000101 000001100 => 000000110 000001101 => 100000110 000001110 => 000000111 000001111 => 100000111 000010000 => 000001000 000010001 => 100001000 000010010 => 000001001 000010011 => 100001001 000010100 => 000001010 000010101 => 100001010 000010110 => 000001011 000010111 => 100001011 000011000 => 000001100 000011001 => 100001100 000011010 => 000001101 000011011 => 100001101 000011100 => 000001110 000011101 => 100001110 000011110 => 000001111 000011111 => 100001111 000100000 => 000010000 000100001 => 100010000 000100010 => 000010001 000100011 => 100010001 000100100 => 000010010 000100101 => 100010010 000100110 => 000010011 000100111 => 100010011 000101000 => 000010100 000101001 => 100010100 000101010 => 000010101 000101011 => 100010101 000101100 => 000010110 000101101 => 100010110 000101110 => 000010111 000101111 => 100010111 000110000 => 000011000 000110001 => 100011000 000110010 => 000011001 000110011 => 100011001 000110100 => 000011010 000110101 => 100011010 000110110 => 000011011 000110111 => 100011011 000111000 => 000011100 000111001 => 100011100 000111010 => 000011101 000111011 => 100011101 000111100 => 000011110 000111101 => 100011110 000111110 => 000011111 000111111 => 100011111 001000000 => 000100000 001000001 => 100100000 001000010 => 000100001 001000011 => 100100001 001000100 => 000100010 001000101 => 100100010 001000110 => 000100011 001000111 => 100100011 001001000 => 000100100 001001001 => 100100100 001001010 => 000100101 001001011 => 100100101 001001100 => 000100110 001001101 => 100100110 001001110 => 000100111 001001111 => 100100111 001010000 => 000101000 001010001 => 100101000 001010010 => 000101001 001010011 => 100101001 001010100 => 000101010 001010101 => 100101010 001010110 => 000101011 001010111 => 100101011 001011000 => 000101100 001011001 => 100101100 001011010 => 000101101 001011011 => 100101101 001011100 => 000101110 001011101 => 100101110 001011110 => 000101111 001011111 => 100101111 001100000 => 000110000 001100001 => 100110000 001100010 => 000110001 001100011 => 100110001 001100100 => 000110010 001100101 => 100110010 001100110 => 000110011 001100111 => 100110011 001101000 => 000110100 001101001 => 100110100 001101010 => 000110101 001101011 => 100110101 001101100 => 000110110 001101101 => 100110110 001101110 => 000110111 001101111 => 100110111 001110000 => 000111000 001110001 => 100111000 001110010 => 000111001 001110011 => 100111001 001110100 => 000111010 001110101 => 100111010 001110110 => 000111011 001110111 => 100111011 001111000 => 000111100 001111001 => 100111100 001111010 => 000111101 001111011 => 100111101 001111100 => 000111110 001111101 => 100111110 001111110 => 000111111 001111111 => 100111111 010000000 => 001000000 010000001 => 101000000 010000010 => 001000001 010000011 => 101000001 010000100 => 001000010 010000101 => 101000010 010000110 => 001000011 010000111 => 101000011 010001000 => 001000100 010001001 => 101000100 010001010 => 001000101 010001011 => 101000101 010001100 => 001000110 010001101 => 101000110 010001110 => 001000111 010001111 => 101000111 010010000 => 001001000 010010001 => 101001000 010010010 => 001001001 010010011 => 101001001 010010100 => 001001010 010010101 => 101001010 010010110 => 001001011 010010111 => 101001011 010011000 => 001001100 010011001 => 101001100 010011010 => 001001101 010011011 => 101001101 010011100 => 001001110 010011101 => 101001110 010011110 => 001001111 010011111 => 101001111 010100000 => 001010000 010100001 => 101010000 010100010 => 001010001 010100011 => 101010001 010100100 => 001010010 010100101 => 101010010 010100110 => 001010011 010100111 => 101010011 010101000 => 001010100 010101001 => 101010100 010101010 => 001010101 010101011 => 101010101 010101100 => 001010110 010101101 => 101010110 010101110 => 001010111 010101111 => 101010111 010110000 => 001011000 010110001 => 101011000 010110010 => 001011001 010110011 => 101011001 010110100 => 001011010 010110101 => 101011010 010110110 => 001011011 010110111 => 101011011 010111000 => 001011100 010111001 => 101011100 010111010 => 001011101 010111011 => 101011101 010111100 => 001011110 010111101 => 101011110 010111110 => 001011111 010111111 => 101011111 011000000 => 001100000 011000001 => 101100000 011000010 => 001100001 011000011 => 101100001 011000100 => 001100010 011000101 => 101100010 011000110 => 001100011 011000111 => 101100011 011001000 => 001100100 011001001 => 101100100 011001010 => 001100101 011001011 => 101100101 011001100 => 001100110 011001101 => 101100110 011001110 => 001100111 011001111 => 101100111 011010000 => 001101000 011010001 => 101101000 011010010 => 001101001 011010011 => 101101001 011010100 => 001101010 011010101 => 101101010 011010110 => 001101011 011010111 => 101101011 011011000 => 001101100 011011001 => 101101100 011011010 => 001101101 011011011 => 101101101 011011100 => 001101110 011011101 => 101101110 011011110 => 001101111 011011111 => 101101111 011100000 => 001110000 011100001 => 101110000 011100010 => 001110001 011100011 => 101110001 011100100 => 001110010 011100101 => 101110010 011100110 => 001110011 011100111 => 101110011 011101000 => 001110100 011101001 => 101110100 011101010 => 001110101 011101011 => 101110101 011101100 => 001110110 011101101 => 101110110 011101110 => 001110111 011101111 => 101110111 011110000 => 001111000 011110001 => 101111000 011110010 => 001111001 011110011 => 101111001 011110100 => 001111010 011110101 => 101111010 011110110 => 001111011 011110111 => 101111011 011111000 => 001111100 011111001 => 101111100 011111010 => 001111101 011111011 => 101111101 011111100 => 001111110 011111101 => 101111110 011111110 => 001111111 011111111 => 101111111 100000000 => 010000000 100000001 => 110000000 100000010 => 010000001 100000011 => 110000001 100000100 => 010000010 100000101 => 110000010 100000110 => 010000011 100000111 => 110000011 100001000 => 010000100 100001001 => 110000100 100001010 => 010000101 100001011 => 110000101 100001100 => 010000110 100001101 => 110000110 100001110 => 010000111 100001111 => 110000111 100010000 => 010001000 100010001 => 110001000 100010010 => 010001001 100010011 => 110001001 100010100 => 010001010 100010101 => 110001010 100010110 => 010001011 100010111 => 110001011 100011000 => 010001100 100011001 => 110001100 100011010 => 010001101 100011011 => 110001101 100011100 => 010001110 100011101 => 110001110 100011110 => 010001111 100011111 => 110001111 100100000 => 010010000 100100001 => 110010000 100100010 => 010010001 100100011 => 110010001 100100100 => 010010010 100100101 => 110010010 100100110 => 010010011 100100111 => 110010011 100101000 => 010010100 100101001 => 110010100 100101010 => 010010101 100101011 => 110010101 100101100 => 010010110 100101101 => 110010110 100101110 => 010010111 100101111 => 110010111 100110000 => 010011000 100110001 => 110011000 100110010 => 010011001 100110011 => 110011001 100110100 => 010011010 100110101 => 110011010 100110110 => 010011011 100110111 => 110011011 100111000 => 010011100 100111001 => 110011100 100111010 => 010011101 100111011 => 110011101 100111100 => 010011110 100111101 => 110011110 100111110 => 010011111 100111111 => 110011111 101000000 => 010100000 101000001 => 110100000 101000010 => 010100001 101000011 => 110100001 101000100 => 010100010 101000101 => 110100010 101000110 => 010100011 101000111 => 110100011 101001000 => 010100100 101001001 => 110100100 101001010 => 010100101 101001011 => 110100101 101001100 => 010100110 101001101 => 110100110 101001110 => 010100111 101001111 => 110100111 101010000 => 010101000 101010001 => 110101000 101010010 => 010101001 101010011 => 110101001 101010100 => 010101010 101010101 => 110101010 101010110 => 010101011 101010111 => 110101011 101011000 => 010101100 101011001 => 110101100 101011010 => 010101101 101011011 => 110101101 101011100 => 010101110 101011101 => 110101110 101011110 => 010101111 101011111 => 110101111 101100000 => 010110000 101100001 => 110110000 101100010 => 010110001 101100011 => 110110001 101100100 => 010110010 101100101 => 110110010 101100110 => 010110011 101100111 => 110110011 101101000 => 010110100 101101001 => 110110100 101101010 => 010110101 101101011 => 110110101 101101100 => 010110110 101101101 => 110110110 101101110 => 010110111 101101111 => 110110111 101110000 => 010111000 101110001 => 110111000 101110010 => 010111001 101110011 => 110111001 101110100 => 010111010 101110101 => 110111010 101110110 => 010111011 101110111 => 110111011 101111000 => 010111100 101111001 => 110111100 101111010 => 010111101 101111011 => 110111101 101111100 => 010111110 101111101 => 110111110 101111110 => 010111111 101111111 => 110111111 110000000 => 011000000 110000001 => 111000000 110000010 => 011000001 110000011 => 111000001 110000100 => 011000010 110000101 => 111000010 110000110 => 011000011 110000111 => 111000011 110001000 => 011000100 110001001 => 111000100 110001010 => 011000101 110001011 => 111000101 110001100 => 011000110 110001101 => 111000110 110001110 => 011000111 110001111 => 111000111 110010000 => 011001000 110010001 => 111001000 110010010 => 011001001 110010011 => 111001001 110010100 => 011001010 110010101 => 111001010 110010110 => 011001011 110010111 => 111001011 110011000 => 011001100 110011001 => 111001100 110011010 => 011001101 110011011 => 111001101 110011100 => 011001110 110011101 => 111001110 110011110 => 011001111 110011111 => 111001111 110100000 => 011010000 110100001 => 111010000 110100010 => 011010001 110100011 => 111010001 110100100 => 011010010 110100101 => 111010010 110100110 => 011010011 110100111 => 111010011 110101000 => 011010100 110101001 => 111010100 110101010 => 011010101 110101011 => 111010101 110101100 => 011010110 110101101 => 111010110 110101110 => 011010111 110101111 => 111010111 110110000 => 011011000 110110001 => 111011000 110110010 => 011011001 110110011 => 111011001 110110100 => 011011010 110110101 => 111011010 110110110 => 011011011 110110111 => 111011011 110111000 => 011011100 110111001 => 111011100 110111010 => 011011101 110111011 => 111011101 110111100 => 011011110 110111101 => 111011110 110111110 => 011011111 110111111 => 111011111 111000000 => 011100000 111000001 => 111100000 111000010 => 011100001 111000011 => 111100001 111000100 => 011100010 111000101 => 111100010 111000110 => 011100011 111000111 => 111100011 111001000 => 011100100 111001001 => 111100100 111001010 => 011100101 111001011 => 111100101 111001100 => 011100110 111001101 => 111100110 111001110 => 011100111 111001111 => 111100111 111010000 => 011101000 111010001 => 111101000 111010010 => 011101001 111010011 => 111101001 111010100 => 011101010 111010101 => 111101010 111010110 => 011101011 111010111 => 111101011 111011000 => 011101100 111011001 => 111101100 111011010 => 011101101 111011011 => 111101101 111011100 => 011101110 111011101 => 111101110 111011110 => 011101111 111011111 => 111101111 111100000 => 011110000 111100001 => 111110000 111100010 => 011110001 111100011 => 111110001 111100100 => 011110010 111100101 => 111110010 111100110 => 011110011 111100111 => 111110011 111101000 => 011110100 111101001 => 111110100 111101010 => 011110101 111101011 => 111110101 111101100 => 011110110 111101101 => 111110110 111101110 => 011110111 111101111 => 111110111 111110000 => 011111000 111110001 => 111111000 111110010 => 011111001 111110011 => 111111001 111110100 => 011111010 111110101 => 111111010 111110110 => 011111011 111110111 => 111111011 111111000 => 011111100 111111001 => 111111100 111111010 => 011111101 111111011 => 111111101 111111100 => 011111110 111111101 => 111111110 111111110 => 011111111 111111111 => 111111111 1010101010 => 0101010101 1010101100 => 0101010110 1010110010 => 0101011001 1010110100 => 0101011010 1010111000 => 0101011100 1011001010 => 0101100101 1011001100 => 0101100110 1011010010 => 0101101001 1011010100 => 0101101010 1011011000 => 0101101100 1011100010 => 0101110001 1011100100 => 0101110010 1011101000 => 0101110100 1011110000 => 0101111000 1100101010 => 0110010101 1100101100 => 0110010110 1100110010 => 0110011001 1100110100 => 0110011010 1100111000 => 0110011100 1101001010 => 0110100101 1101001100 => 0110100110 1101010010 => 0110101001 1101010100 => 0110101010 1101011000 => 0110101100 1101100010 => 0110110001 1101100100 => 0110110010 1101101000 => 0110110100 1101110000 => 0110111000 1110001010 => 0111000101 1110001100 => 0111000110 1110010010 => 0111001001 1110010100 => 0111001010 1110011000 => 0111001100 1110100010 => 0111010001 1110100100 => 0111010010 1110101000 => 0111010100 1110110000 => 0111011000 1111000010 => 0111100001 1111000100 => 0111100010 1111001000 => 0111100100 1111010000 => 0111101000 1111100000 => 0111110000 101010101010 => 010101010101 101010101100 => 010101010110 101010110010 => 010101011001 101010110100 => 010101011010 101010111000 => 010101011100 101011001010 => 010101100101 101011001100 => 010101100110 101011010010 => 010101101001 101011010100 => 010101101010 101011011000 => 010101101100 101011100010 => 010101110001 101011100100 => 010101110010 101011101000 => 010101110100 101011110000 => 010101111000 101100101010 => 010110010101 101100101100 => 010110010110 101100110010 => 010110011001 101100110100 => 010110011010 101100111000 => 010110011100 101101001010 => 010110100101 101101001100 => 010110100110 101101010010 => 010110101001 101101010100 => 010110101010 101101011000 => 010110101100 101101100010 => 010110110001 101101100100 => 010110110010 101101101000 => 010110110100 101101110000 => 010110111000 101110001010 => 010111000101 101110001100 => 010111000110 101110010010 => 010111001001 101110010100 => 010111001010 101110011000 => 010111001100 101110100010 => 010111010001 101110100100 => 010111010010 101110101000 => 010111010100 101110110000 => 010111011000 101111000010 => 010111100001 101111000100 => 010111100010 101111001000 => 010111100100 101111010000 => 010111101000 101111100000 => 010111110000 110010101010 => 011001010101 110010101100 => 011001010110 110010110010 => 011001011001 110010110100 => 011001011010 110010111000 => 011001011100 110011001010 => 011001100101 110011001100 => 011001100110 110011010010 => 011001101001 110011010100 => 011001101010 110011011000 => 011001101100 110011100010 => 011001110001 110011100100 => 011001110010 110011101000 => 011001110100 110011110000 => 011001111000 110100101010 => 011010010101 110100101100 => 011010010110 110100110010 => 011010011001 110100110100 => 011010011010 110100111000 => 011010011100 110101001010 => 011010100101 110101001100 => 011010100110 110101010010 => 011010101001 110101010100 => 011010101010 110101011000 => 011010101100 110101100010 => 011010110001 110101100100 => 011010110010 110101101000 => 011010110100 110101110000 => 011010111000 110110001010 => 011011000101 110110001100 => 011011000110 110110010010 => 011011001001 110110010100 => 011011001010 110110011000 => 011011001100 110110100010 => 011011010001 110110100100 => 011011010010 110110101000 => 011011010100 110110110000 => 011011011000 110111000010 => 011011100001 110111000100 => 011011100010 110111001000 => 011011100100 110111010000 => 011011101000 110111100000 => 011011110000 111000101010 => 011100010101 111000101100 => 011100010110 111000110010 => 011100011001 111000110100 => 011100011010 111000111000 => 011100011100 111001001010 => 011100100101 111001001100 => 011100100110 111001010010 => 011100101001 111001010100 => 011100101010 111001011000 => 011100101100 111001100010 => 011100110001 111001100100 => 011100110010 111001101000 => 011100110100 111001110000 => 011100111000 111010001010 => 011101000101 111010001100 => 011101000110 111010010010 => 011101001001 111010010100 => 011101001010 111010011000 => 011101001100 111010100010 => 011101010001 111010100100 => 011101010010 111010101000 => 011101010100 111010110000 => 011101011000 111011000010 => 011101100001 111011000100 => 011101100010 111011001000 => 011101100100 111011010000 => 011101101000 111011100000 => 011101110000 111100001010 => 011110000101 111100001100 => 011110000110 111100010010 => 011110001001 111100010100 => 011110001010 111100011000 => 011110001100 111100100010 => 011110010001 111100100100 => 011110010010 111100101000 => 011110010100 111100110000 => 011110011000 111101000010 => 011110100001 111101000100 => 011110100010 111101001000 => 011110100100 111101010000 => 011110101000 111101100000 => 011110110000 111110000010 => 011111000001 111110000100 => 011111000010 111110001000 => 011111000100 111110010000 => 011111001000 111110100000 => 011111010000 111111000000 => 011111100000 10101010101010 => 01010101010101 10101010101100 => 01010101010110 10101010110010 => 01010101011001 10101010110100 => 01010101011010 ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey