************************************************************************ * 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: Mp00269 ------------------------------------------------------------------------ Map name: flag zeros to zeros ------------------------------------------------------------------------ Domain: Binary words ------------------------------------------------------------------------ Codomain: Binary words ------------------------------------------------------------------------ Description: Return a binary word of the same length, such that the number of zeros equals the number of occurrences of \$10\$ in the word obtained from the original word by prepending the reverse of the complement. For example, the image of the word \$w=1\dots 1\$ is \$1\dots 1\$, because \$0\dots 01\dots 1\$ has no occurrences of \$10\$. The words \$10\dots 10\$ and \$010\dots 10\$ have image \$0\dots 0\$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(w): zeros = [] letter = 1 z = 0 for e in reversed(w): if e == letter: z += 1 else: zeros.append(z) z = 0 letter = 1 - letter result = [1]*len(w) last = -1 for z in zeros: last = z + last + 1 result[last] = 0 return Words([0,1])(result) ------------------------------------------------------------------------ Map images: 0 => 0 1 => 1 00 => 01 01 => 10 10 => 00 11 => 11 000 => 011 001 => 101 010 => 000 011 => 110 100 => 010 101 => 100 110 => 001 111 => 111 0000 => 0111 0001 => 1011 0010 => 0001 0011 => 1101 0100 => 0100 0101 => 1000 0110 => 0010 0111 => 1110 1000 => 0110 1001 => 1010 1010 => 0000 1011 => 1100 1100 => 0101 1101 => 1001 1110 => 0011 1111 => 1111 00000 => 01111 00001 => 10111 00010 => 00011 00011 => 11011 00100 => 01001 00101 => 10001 00110 => 00101 00111 => 11101 01000 => 01100 01001 => 10100 01010 => 00000 01011 => 11000 01100 => 01010 01101 => 10010 01110 => 00110 01111 => 11110 10000 => 01110 10001 => 10110 10010 => 00010 10011 => 11010 10100 => 01000 10101 => 10000 10110 => 00100 10111 => 11100 11000 => 01101 11001 => 10101 11010 => 00001 11011 => 11001 11100 => 01011 11101 => 10011 11110 => 00111 11111 => 11111 000000 => 011111 000001 => 101111 000010 => 000111 000011 => 110111 000100 => 010011 000101 => 100011 000110 => 001011 000111 => 111011 001000 => 011001 001001 => 101001 001010 => 000001 001011 => 110001 001100 => 010101 001101 => 100101 001110 => 001101 001111 => 111101 010000 => 011100 010001 => 101100 010010 => 000100 010011 => 110100 010100 => 010000 010101 => 100000 010110 => 001000 010111 => 111000 011000 => 011010 011001 => 101010 011010 => 000010 011011 => 110010 011100 => 010110 011101 => 100110 011110 => 001110 011111 => 111110 100000 => 011110 100001 => 101110 100010 => 000110 100011 => 110110 100100 => 010010 100101 => 100010 100110 => 001010 100111 => 111010 101000 => 011000 101001 => 101000 101010 => 000000 101011 => 110000 101100 => 010100 101101 => 100100 101110 => 001100 101111 => 111100 110000 => 011101 110001 => 101101 110010 => 000101 110011 => 110101 110100 => 010001 110101 => 100001 110110 => 001001 110111 => 111001 111000 => 011011 111001 => 101011 111010 => 000011 111011 => 110011 111100 => 010111 111101 => 100111 111110 => 001111 111111 => 111111 0000000 => 0111111 0000001 => 1011111 0000010 => 0001111 0000011 => 1101111 0000100 => 0100111 0000101 => 1000111 0000110 => 0010111 0000111 => 1110111 0001000 => 0110011 0001001 => 1010011 0001010 => 0000011 0001011 => 1100011 0001100 => 0101011 0001101 => 1001011 0001110 => 0011011 0001111 => 1111011 0010000 => 0111001 0010001 => 1011001 0010010 => 0001001 0010011 => 1101001 0010100 => 0100001 0010101 => 1000001 0010110 => 0010001 0010111 => 1110001 0011000 => 0110101 0011001 => 1010101 0011010 => 0000101 0011011 => 1100101 0011100 => 0101101 0011101 => 1001101 0011110 => 0011101 0011111 => 1111101 0100000 => 0111100 0100001 => 1011100 0100010 => 0001100 0100011 => 1101100 0100100 => 0100100 0100101 => 1000100 0100110 => 0010100 0100111 => 1110100 0101000 => 0110000 0101001 => 1010000 0101010 => 0000000 0101011 => 1100000 0101100 => 0101000 0101101 => 1001000 0101110 => 0011000 0101111 => 1111000 0110000 => 0111010 0110001 => 1011010 0110010 => 0001010 0110011 => 1101010 0110100 => 0100010 0110101 => 1000010 0110110 => 0010010 0110111 => 1110010 0111000 => 0110110 0111001 => 1010110 0111010 => 0000110 0111011 => 1100110 0111100 => 0101110 0111101 => 1001110 0111110 => 0011110 0111111 => 1111110 1000000 => 0111110 1000001 => 1011110 1000010 => 0001110 1000011 => 1101110 1000100 => 0100110 1000101 => 1000110 1000110 => 0010110 1000111 => 1110110 1001000 => 0110010 1001001 => 1010010 1001010 => 0000010 1001011 => 1100010 1001100 => 0101010 1001101 => 1001010 1001110 => 0011010 1001111 => 1111010 1010000 => 0111000 1010001 => 1011000 1010010 => 0001000 1010011 => 1101000 1010100 => 0100000 1010101 => 1000000 1010110 => 0010000 1010111 => 1110000 1011000 => 0110100 1011001 => 1010100 1011010 => 0000100 1011011 => 1100100 1011100 => 0101100 1011101 => 1001100 1011110 => 0011100 1011111 => 1111100 1100000 => 0111101 1100001 => 1011101 1100010 => 0001101 1100011 => 1101101 1100100 => 0100101 1100101 => 1000101 1100110 => 0010101 1100111 => 1110101 1101000 => 0110001 1101001 => 1010001 1101010 => 0000001 1101011 => 1100001 1101100 => 0101001 1101101 => 1001001 1101110 => 0011001 1101111 => 1111001 1110000 => 0111011 1110001 => 1011011 1110010 => 0001011 1110011 => 1101011 1110100 => 0100011 1110101 => 1000011 1110110 => 0010011 1110111 => 1110011 1111000 => 0110111 1111001 => 1010111 1111010 => 0000111 1111011 => 1100111 1111100 => 0101111 1111101 => 1001111 1111110 => 0011111 1111111 => 1111111 00000000 => 01111111 00000001 => 10111111 00000010 => 00011111 00000011 => 11011111 00000100 => 01001111 00000101 => 10001111 00000110 => 00101111 00000111 => 11101111 00001000 => 01100111 00001001 => 10100111 00001010 => 00000111 00001011 => 11000111 00001100 => 01010111 00001101 => 10010111 00001110 => 00110111 00001111 => 11110111 00010000 => 01110011 00010001 => 10110011 00010010 => 00010011 00010011 => 11010011 00010100 => 01000011 00010101 => 10000011 00010110 => 00100011 00010111 => 11100011 00011000 => 01101011 00011001 => 10101011 00011010 => 00001011 00011011 => 11001011 00011100 => 01011011 00011101 => 10011011 00011110 => 00111011 00011111 => 11111011 00100000 => 01111001 00100001 => 10111001 00100010 => 00011001 00100011 => 11011001 00100100 => 01001001 00100101 => 10001001 00100110 => 00101001 00100111 => 11101001 00101000 => 01100001 00101001 => 10100001 00101010 => 00000001 00101011 => 11000001 00101100 => 01010001 00101101 => 10010001 00101110 => 00110001 00101111 => 11110001 00110000 => 01110101 00110001 => 10110101 00110010 => 00010101 00110011 => 11010101 00110100 => 01000101 00110101 => 10000101 00110110 => 00100101 00110111 => 11100101 00111000 => 01101101 00111001 => 10101101 00111010 => 00001101 00111011 => 11001101 00111100 => 01011101 00111101 => 10011101 00111110 => 00111101 00111111 => 11111101 01000000 => 01111100 01000001 => 10111100 01000010 => 00011100 01000011 => 11011100 01000100 => 01001100 01000101 => 10001100 01000110 => 00101100 01000111 => 11101100 01001000 => 01100100 01001001 => 10100100 01001010 => 00000100 01001011 => 11000100 01001100 => 01010100 01001101 => 10010100 01001110 => 00110100 01001111 => 11110100 01010000 => 01110000 01010001 => 10110000 01010010 => 00010000 01010011 => 11010000 01010100 => 01000000 01010101 => 10000000 01010110 => 00100000 01010111 => 11100000 01011000 => 01101000 01011001 => 10101000 01011010 => 00001000 01011011 => 11001000 01011100 => 01011000 01011101 => 10011000 01011110 => 00111000 01011111 => 11111000 01100000 => 01111010 01100001 => 10111010 01100010 => 00011010 01100011 => 11011010 01100100 => 01001010 01100101 => 10001010 01100110 => 00101010 01100111 => 11101010 01101000 => 01100010 01101001 => 10100010 01101010 => 00000010 01101011 => 11000010 01101100 => 01010010 01101101 => 10010010 01101110 => 00110010 01101111 => 11110010 01110000 => 01110110 01110001 => 10110110 01110010 => 00010110 01110011 => 11010110 01110100 => 01000110 01110101 => 10000110 01110110 => 00100110 01110111 => 11100110 01111000 => 01101110 01111001 => 10101110 01111010 => 00001110 01111011 => 11001110 01111100 => 01011110 01111101 => 10011110 01111110 => 00111110 01111111 => 11111110 10000000 => 01111110 10000001 => 10111110 10000010 => 00011110 10000011 => 11011110 10000100 => 01001110 10000101 => 10001110 10000110 => 00101110 10000111 => 11101110 10001000 => 01100110 10001001 => 10100110 10001010 => 00000110 10001011 => 11000110 10001100 => 01010110 10001101 => 10010110 10001110 => 00110110 10001111 => 11110110 10010000 => 01110010 10010001 => 10110010 10010010 => 00010010 10010011 => 11010010 10010100 => 01000010 10010101 => 10000010 10010110 => 00100010 10010111 => 11100010 10011000 => 01101010 10011001 => 10101010 10011010 => 00001010 10011011 => 11001010 10011100 => 01011010 10011101 => 10011010 10011110 => 00111010 10011111 => 11111010 10100000 => 01111000 10100001 => 10111000 10100010 => 00011000 10100011 => 11011000 10100100 => 01001000 10100101 => 10001000 10100110 => 00101000 10100111 => 11101000 10101000 => 01100000 10101001 => 10100000 10101010 => 00000000 10101011 => 11000000 10101100 => 01010000 10101101 => 10010000 10101110 => 00110000 10101111 => 11110000 10110000 => 01110100 10110001 => 10110100 10110010 => 00010100 10110011 => 11010100 10110100 => 01000100 10110101 => 10000100 10110110 => 00100100 10110111 => 11100100 10111000 => 01101100 10111001 => 10101100 10111010 => 00001100 10111011 => 11001100 10111100 => 01011100 10111101 => 10011100 10111110 => 00111100 10111111 => 11111100 11000000 => 01111101 11000001 => 10111101 11000010 => 00011101 11000011 => 11011101 11000100 => 01001101 11000101 => 10001101 11000110 => 00101101 11000111 => 11101101 11001000 => 01100101 11001001 => 10100101 11001010 => 00000101 11001011 => 11000101 11001100 => 01010101 11001101 => 10010101 11001110 => 00110101 11001111 => 11110101 11010000 => 01110001 11010001 => 10110001 11010010 => 00010001 11010011 => 11010001 11010100 => 01000001 11010101 => 10000001 11010110 => 00100001 11010111 => 11100001 11011000 => 01101001 11011001 => 10101001 11011010 => 00001001 11011011 => 11001001 11011100 => 01011001 11011101 => 10011001 11011110 => 00111001 11011111 => 11111001 11100000 => 01111011 11100001 => 10111011 11100010 => 00011011 11100011 => 11011011 11100100 => 01001011 11100101 => 10001011 11100110 => 00101011 11100111 => 11101011 11101000 => 01100011 11101001 => 10100011 11101010 => 00000011 11101011 => 11000011 11101100 => 01010011 11101101 => 10010011 11101110 => 00110011 11101111 => 11110011 11110000 => 01110111 11110001 => 10110111 11110010 => 00010111 11110011 => 11010111 11110100 => 01000111 11110101 => 10000111 11110110 => 00100111 11110111 => 11100111 11111000 => 01101111 11111001 => 10101111 11111010 => 00001111 11111011 => 11001111 11111100 => 01011111 11111101 => 10011111 11111110 => 00111111 11111111 => 11111111 000000000 => 011111111 000000001 => 101111111 000000010 => 000111111 000000011 => 110111111 000000100 => 010011111 000000101 => 100011111 000000110 => 001011111 000000111 => 111011111 000001000 => 011001111 000001001 => 101001111 000001010 => 000001111 000001011 => 110001111 000001100 => 010101111 000001101 => 100101111 000001110 => 001101111 000001111 => 111101111 000010000 => 011100111 000010001 => 101100111 000010010 => 000100111 000010011 => 110100111 000010100 => 010000111 000010101 => 100000111 000010110 => 001000111 000010111 => 111000111 000011000 => 011010111 000011001 => 101010111 000011010 => 000010111 000011011 => 110010111 000011100 => 010110111 000011101 => 100110111 000011110 => 001110111 000011111 => 111110111 000100000 => 011110011 000100001 => 101110011 000100010 => 000110011 000100011 => 110110011 000100100 => 010010011 000100101 => 100010011 000100110 => 001010011 000100111 => 111010011 000101000 => 011000011 000101001 => 101000011 000101010 => 000000011 000101011 => 110000011 000101100 => 010100011 000101101 => 100100011 000101110 => 001100011 000101111 => 111100011 000110000 => 011101011 000110001 => 101101011 000110010 => 000101011 000110011 => 110101011 000110100 => 010001011 000110101 => 100001011 000110110 => 001001011 000110111 => 111001011 000111000 => 011011011 000111001 => 101011011 000111010 => 000011011 000111011 => 110011011 000111100 => 010111011 000111101 => 100111011 000111110 => 001111011 000111111 => 111111011 001000000 => 011111001 001000001 => 101111001 001000010 => 000111001 001000011 => 110111001 001000100 => 010011001 001000101 => 100011001 001000110 => 001011001 001000111 => 111011001 001001000 => 011001001 001001001 => 101001001 001001010 => 000001001 001001011 => 110001001 001001100 => 010101001 001001101 => 100101001 001001110 => 001101001 001001111 => 111101001 001010000 => 011100001 001010001 => 101100001 001010010 => 000100001 001010011 => 110100001 001010100 => 010000001 001010101 => 100000001 001010110 => 001000001 001010111 => 111000001 001011000 => 011010001 001011001 => 101010001 001011010 => 000010001 001011011 => 110010001 001011100 => 010110001 001011101 => 100110001 001011110 => 001110001 001011111 => 111110001 001100000 => 011110101 001100001 => 101110101 001100010 => 000110101 001100011 => 110110101 001100100 => 010010101 001100101 => 100010101 001100110 => 001010101 001100111 => 111010101 001101000 => 011000101 001101001 => 101000101 001101010 => 000000101 001101011 => 110000101 001101100 => 010100101 001101101 => 100100101 001101110 => 001100101 001101111 => 111100101 001110000 => 011101101 001110001 => 101101101 001110010 => 000101101 001110011 => 110101101 001110100 => 010001101 001110101 => 100001101 001110110 => 001001101 001110111 => 111001101 001111000 => 011011101 001111001 => 101011101 001111010 => 000011101 001111011 => 110011101 001111100 => 010111101 001111101 => 100111101 001111110 => 001111101 001111111 => 111111101 010000000 => 011111100 010000001 => 101111100 010000010 => 000111100 010000011 => 110111100 010000100 => 010011100 010000101 => 100011100 010000110 => 001011100 010000111 => 111011100 010001000 => 011001100 010001001 => 101001100 010001010 => 000001100 010001011 => 110001100 010001100 => 010101100 010001101 => 100101100 010001110 => 001101100 010001111 => 111101100 010010000 => 011100100 010010001 => 101100100 010010010 => 000100100 010010011 => 110100100 010010100 => 010000100 010010101 => 100000100 010010110 => 001000100 010010111 => 111000100 010011000 => 011010100 010011001 => 101010100 010011010 => 000010100 010011011 => 110010100 010011100 => 010110100 010011101 => 100110100 010011110 => 001110100 010011111 => 111110100 010100000 => 011110000 010100001 => 101110000 010100010 => 000110000 010100011 => 110110000 010100100 => 010010000 010100101 => 100010000 010100110 => 001010000 010100111 => 111010000 010101000 => 011000000 010101001 => 101000000 010101010 => 000000000 010101011 => 110000000 010101100 => 010100000 010101101 => 100100000 010101110 => 001100000 010101111 => 111100000 010110000 => 011101000 010110001 => 101101000 010110010 => 000101000 010110011 => 110101000 010110100 => 010001000 010110101 => 100001000 010110110 => 001001000 010110111 => 111001000 010111000 => 011011000 010111001 => 101011000 010111010 => 000011000 010111011 => 110011000 010111100 => 010111000 010111101 => 100111000 010111110 => 001111000 010111111 => 111111000 011000000 => 011111010 011000001 => 101111010 011000010 => 000111010 011000011 => 110111010 011000100 => 010011010 011000101 => 100011010 011000110 => 001011010 011000111 => 111011010 011001000 => 011001010 011001001 => 101001010 011001010 => 000001010 011001011 => 110001010 011001100 => 010101010 011001101 => 100101010 011001110 => 001101010 011001111 => 111101010 011010000 => 011100010 011010001 => 101100010 011010010 => 000100010 011010011 => 110100010 011010100 => 010000010 011010101 => 100000010 011010110 => 001000010 011010111 => 111000010 011011000 => 011010010 011011001 => 101010010 011011010 => 000010010 011011011 => 110010010 011011100 => 010110010 011011101 => 100110010 011011110 => 001110010 011011111 => 111110010 011100000 => 011110110 011100001 => 101110110 011100010 => 000110110 011100011 => 110110110 011100100 => 010010110 011100101 => 100010110 011100110 => 001010110 011100111 => 111010110 011101000 => 011000110 011101001 => 101000110 011101010 => 000000110 011101011 => 110000110 011101100 => 010100110 011101101 => 100100110 011101110 => 001100110 011101111 => 111100110 011110000 => 011101110 011110001 => 101101110 011110010 => 000101110 011110011 => 110101110 011110100 => 010001110 011110101 => 100001110 011110110 => 001001110 011110111 => 111001110 011111000 => 011011110 011111001 => 101011110 011111010 => 000011110 011111011 => 110011110 011111100 => 010111110 011111101 => 100111110 011111110 => 001111110 011111111 => 111111110 100000000 => 011111110 100000001 => 101111110 100000010 => 000111110 100000011 => 110111110 100000100 => 010011110 100000101 => 100011110 100000110 => 001011110 100000111 => 111011110 100001000 => 011001110 100001001 => 101001110 100001010 => 000001110 100001011 => 110001110 100001100 => 010101110 100001101 => 100101110 100001110 => 001101110 100001111 => 111101110 100010000 => 011100110 100010001 => 101100110 100010010 => 000100110 100010011 => 110100110 100010100 => 010000110 100010101 => 100000110 100010110 => 001000110 100010111 => 111000110 100011000 => 011010110 100011001 => 101010110 100011010 => 000010110 100011011 => 110010110 100011100 => 010110110 100011101 => 100110110 100011110 => 001110110 100011111 => 111110110 100100000 => 011110010 100100001 => 101110010 100100010 => 000110010 100100011 => 110110010 100100100 => 010010010 100100101 => 100010010 100100110 => 001010010 100100111 => 111010010 100101000 => 011000010 100101001 => 101000010 100101010 => 000000010 100101011 => 110000010 100101100 => 010100010 100101101 => 100100010 100101110 => 001100010 100101111 => 111100010 100110000 => 011101010 100110001 => 101101010 100110010 => 000101010 100110011 => 110101010 100110100 => 010001010 100110101 => 100001010 100110110 => 001001010 100110111 => 111001010 100111000 => 011011010 100111001 => 101011010 100111010 => 000011010 100111011 => 110011010 100111100 => 010111010 100111101 => 100111010 100111110 => 001111010 100111111 => 111111010 101000000 => 011111000 101000001 => 101111000 101000010 => 000111000 101000011 => 110111000 101000100 => 010011000 101000101 => 100011000 101000110 => 001011000 101000111 => 111011000 101001000 => 011001000 101001001 => 101001000 101001010 => 000001000 101001011 => 110001000 101001100 => 010101000 101001101 => 100101000 101001110 => 001101000 101001111 => 111101000 101010000 => 011100000 101010001 => 101100000 101010010 => 000100000 101010011 => 110100000 101010100 => 010000000 101010101 => 100000000 101010110 => 001000000 101010111 => 111000000 101011000 => 011010000 101011001 => 101010000 101011010 => 000010000 101011011 => 110010000 101011100 => 010110000 101011101 => 100110000 101011110 => 001110000 101011111 => 111110000 101100000 => 011110100 101100001 => 101110100 101100010 => 000110100 101100011 => 110110100 101100100 => 010010100 101100101 => 100010100 101100110 => 001010100 101100111 => 111010100 101101000 => 011000100 101101001 => 101000100 101101010 => 000000100 101101011 => 110000100 101101100 => 010100100 101101101 => 100100100 101101110 => 001100100 101101111 => 111100100 101110000 => 011101100 101110001 => 101101100 101110010 => 000101100 101110011 => 110101100 101110100 => 010001100 101110101 => 100001100 101110110 => 001001100 101110111 => 111001100 101111000 => 011011100 101111001 => 101011100 101111010 => 000011100 101111011 => 110011100 101111100 => 010111100 101111101 => 100111100 101111110 => 001111100 101111111 => 111111100 110000000 => 011111101 110000001 => 101111101 110000010 => 000111101 110000011 => 110111101 110000100 => 010011101 110000101 => 100011101 110000110 => 001011101 110000111 => 111011101 110001000 => 011001101 110001001 => 101001101 110001010 => 000001101 110001011 => 110001101 110001100 => 010101101 110001101 => 100101101 110001110 => 001101101 110001111 => 111101101 110010000 => 011100101 110010001 => 101100101 110010010 => 000100101 110010011 => 110100101 110010100 => 010000101 110010101 => 100000101 110010110 => 001000101 110010111 => 111000101 110011000 => 011010101 110011001 => 101010101 110011010 => 000010101 110011011 => 110010101 110011100 => 010110101 110011101 => 100110101 110011110 => 001110101 110011111 => 111110101 110100000 => 011110001 110100001 => 101110001 110100010 => 000110001 110100011 => 110110001 110100100 => 010010001 110100101 => 100010001 110100110 => 001010001 110100111 => 111010001 110101000 => 011000001 110101001 => 101000001 110101010 => 000000001 110101011 => 110000001 110101100 => 010100001 110101101 => 100100001 110101110 => 001100001 110101111 => 111100001 110110000 => 011101001 110110001 => 101101001 110110010 => 000101001 110110011 => 110101001 110110100 => 010001001 110110101 => 100001001 110110110 => 001001001 110110111 => 111001001 110111000 => 011011001 110111001 => 101011001 110111010 => 000011001 110111011 => 110011001 110111100 => 010111001 110111101 => 100111001 110111110 => 001111001 110111111 => 111111001 111000000 => 011111011 111000001 => 101111011 111000010 => 000111011 111000011 => 110111011 111000100 => 010011011 111000101 => 100011011 111000110 => 001011011 111000111 => 111011011 111001000 => 011001011 111001001 => 101001011 111001010 => 000001011 111001011 => 110001011 111001100 => 010101011 111001101 => 100101011 111001110 => 001101011 111001111 => 111101011 111010000 => 011100011 111010001 => 101100011 111010010 => 000100011 111010011 => 110100011 111010100 => 010000011 111010101 => 100000011 111010110 => 001000011 111010111 => 111000011 111011000 => 011010011 111011001 => 101010011 111011010 => 000010011 111011011 => 110010011 111011100 => 010110011 111011101 => 100110011 111011110 => 001110011 111011111 => 111110011 111100000 => 011110111 111100001 => 101110111 111100010 => 000110111 111100011 => 110110111 111100100 => 010010111 111100101 => 100010111 111100110 => 001010111 111100111 => 111010111 111101000 => 011000111 111101001 => 101000111 111101010 => 000000111 111101011 => 110000111 111101100 => 010100111 111101101 => 100100111 111101110 => 001100111 111101111 => 111100111 111110000 => 011101111 111110001 => 101101111 111110010 => 000101111 111110011 => 110101111 111110100 => 010001111 111110101 => 100001111 111110110 => 001001111 111110111 => 111001111 111111000 => 011011111 111111001 => 101011111 111111010 => 000011111 111111011 => 110011111 111111100 => 010111111 111111101 => 100111111 111111110 => 001111111 111111111 => 111111111 1010101010 => 0000000000 1010101100 => 0101000000 1010110010 => 0001010000 1010110100 => 0100010000 1010111000 => 0110110000 1011001010 => 0000010100 1011001100 => 0101010100 1011010010 => 0001000100 1011010100 => 0100000100 1011011000 => 0110100100 1011100010 => 0001101100 1011100100 => 0100101100 1011101000 => 0110001100 1011110000 => 0111011100 1100101010 => 0000000101 1100101100 => 0101000101 1100110010 => 0001010101 1100110100 => 0100010101 1100111000 => 0110110101 1101001010 => 0000010001 1101001100 => 0101010001 1101010010 => 0001000001 1101010100 => 0100000001 1101011000 => 0110100001 1101100010 => 0001101001 1101100100 => 0100101001 1101101000 => 0110001001 1101110000 => 0111011001 1110001010 => 0000011011 1110001100 => 0101011011 1110010010 => 0001001011 1110010100 => 0100001011 1110011000 => 0110101011 1110100010 => 0001100011 1110100100 => 0100100011 1110101000 => 0110000011 1110110000 => 0111010011 1111000010 => 0001110111 1111000100 => 0100110111 1111001000 => 0110010111 1111010000 => 0111000111 1111100000 => 0111101111 101010101010 => 000000000000 101010101100 => 010100000000 101010110010 => 000101000000 101010110100 => 010001000000 101010111000 => 011011000000 101011001010 => 000001010000 101011001100 => 010101010000 101011010010 => 000100010000 101011010100 => 010000010000 101011011000 => 011010010000 101011100010 => 000110110000 101011100100 => 010010110000 101011101000 => 011000110000 101011110000 => 011101110000 101100101010 => 000000010100 101100101100 => 010100010100 101100110010 => 000101010100 101100110100 => 010001010100 101100111000 => 011011010100 101101001010 => 000001000100 101101001100 => 010101000100 101101010010 => 000100000100 101101010100 => 010000000100 101101011000 => 011010000100 101101100010 => 000110100100 101101100100 => 010010100100 101101101000 => 011000100100 101101110000 => 011101100100 101110001010 => 000001101100 101110001100 => 010101101100 101110010010 => 000100101100 101110010100 => 010000101100 101110011000 => 011010101100 101110100010 => 000110001100 101110100100 => 010010001100 101110101000 => 011000001100 101110110000 => 011101001100 101111000010 => 000111011100 101111000100 => 010011011100 101111001000 => 011001011100 101111010000 => 011100011100 101111100000 => 011110111100 110010101010 => 000000000101 110010101100 => 010100000101 110010110010 => 000101000101 110010110100 => 010001000101 110010111000 => 011011000101 110011001010 => 000001010101 110011001100 => 010101010101 110011010010 => 000100010101 110011010100 => 010000010101 110011011000 => 011010010101 110011100010 => 000110110101 110011100100 => 010010110101 110011101000 => 011000110101 110011110000 => 011101110101 110100101010 => 000000010001 110100101100 => 010100010001 110100110010 => 000101010001 110100110100 => 010001010001 110100111000 => 011011010001 110101001010 => 000001000001 110101001100 => 010101000001 110101010010 => 000100000001 110101010100 => 010000000001 110101011000 => 011010000001 110101100010 => 000110100001 110101100100 => 010010100001 110101101000 => 011000100001 110101110000 => 011101100001 110110001010 => 000001101001 110110001100 => 010101101001 110110010010 => 000100101001 110110010100 => 010000101001 110110011000 => 011010101001 110110100010 => 000110001001 110110100100 => 010010001001 110110101000 => 011000001001 110110110000 => 011101001001 110111000010 => 000111011001 110111000100 => 010011011001 110111001000 => 011001011001 110111010000 => 011100011001 110111100000 => 011110111001 111000101010 => 000000011011 111000101100 => 010100011011 111000110010 => 000101011011 111000110100 => 010001011011 111000111000 => 011011011011 111001001010 => 000001001011 111001001100 => 010101001011 111001010010 => 000100001011 111001010100 => 010000001011 111001011000 => 011010001011 111001100010 => 000110101011 111001100100 => 010010101011 111001101000 => 011000101011 111001110000 => 011101101011 111010001010 => 000001100011 111010001100 => 010101100011 111010010010 => 000100100011 111010010100 => 010000100011 111010011000 => 011010100011 111010100010 => 000110000011 111010100100 => 010010000011 111010101000 => 011000000011 111010110000 => 011101000011 111011000010 => 000111010011 111011000100 => 010011010011 111011001000 => 011001010011 111011010000 => 011100010011 111011100000 => 011110110011 111100001010 => 000001110111 111100001100 => 010101110111 111100010010 => 000100110111 111100010100 => 010000110111 111100011000 => 011010110111 111100100010 => 000110010111 111100100100 => 010010010111 111100101000 => 011000010111 111100110000 => 011101010111 111101000010 => 000111000111 111101000100 => 010011000111 111101001000 => 011001000111 111101010000 => 011100000111 111101100000 => 011110100111 111110000010 => 000111101111 111110000100 => 010011101111 111110001000 => 011001101111 111110010000 => 011100101111 111110100000 => 011110001111 111111000000 => 011111011111 10101010101010 => 00000000000000 10101010101100 => 01010000000000 10101010110100 => 01000100000000 10101010111000 => 01101100000000 ----------------------------------------------------------------------------- Created: Dec 02, 2022 at 00:03 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 02, 2022 at 00:03 by Martin Rubey