************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* 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: Mp00273
------------------------------------------------------------------------
Map name: Gray previous
------------------------------------------------------------------------
Domain: Binary words
------------------------------------------------------------------------
Codomain: Binary words
------------------------------------------------------------------------
Description: The previous element in the Gray code for binary words.
Let $w$ be a binary word. If the number of ones in $w$ is odd, return the binary word obtained by flipping the first bit of $w$. If $w$ has only zeros, return the word with the final bit flipped. Otherwise, return the word obtained by flipping the bit after the first one.
------------------------------------------------------------------------
References: [1] [[wikipedia:Gray code]]
------------------------------------------------------------------------
Code:
def mapping(w):
if not w:
return w
w = list(w)
if is_odd(w.count(1)):
w[0] = 1 - w[0]
return Word(w)
try:
i = w.index(1)
w[i + 1] = 1 - w[i + 1]
return Word(w)
except ValueError:
w[-1] = 1
return Word(w)
------------------------------------------------------------------------
Map images:
0 => 1
1 => 0
00 => 01
01 => 11
10 => 00
11 => 10
000 => 001
001 => 101
010 => 110
011 => 010
100 => 000
101 => 111
110 => 100
111 => 011
0000 => 0001
0001 => 1001
0010 => 1010
0011 => 0010
0100 => 1100
0101 => 0111
0110 => 0100
0111 => 1111
1000 => 0000
1001 => 1101
1010 => 1110
1011 => 0011
1100 => 1000
1101 => 0101
1110 => 0110
1111 => 1011
00000 => 00001
00001 => 10001
00010 => 10010
00011 => 00010
00100 => 10100
00101 => 00111
00110 => 00100
00111 => 10111
01000 => 11000
01001 => 01101
01010 => 01110
01011 => 11011
01100 => 01000
01101 => 11101
01110 => 11110
01111 => 01011
10000 => 00000
10001 => 11001
10010 => 11010
10011 => 00011
10100 => 11100
10101 => 00101
10110 => 00110
10111 => 11111
11000 => 10000
11001 => 01001
11010 => 01010
11011 => 10011
11100 => 01100
11101 => 10101
11110 => 10110
11111 => 01111
000000 => 000001
000001 => 100001
000010 => 100010
000011 => 000010
000100 => 100100
000101 => 000111
000110 => 000100
000111 => 100111
001000 => 101000
001001 => 001101
001010 => 001110
001011 => 101011
001100 => 001000
001101 => 101101
001110 => 101110
001111 => 001011
010000 => 110000
010001 => 011001
010010 => 011010
010011 => 110011
010100 => 011100
010101 => 110101
010110 => 110110
010111 => 011111
011000 => 010000
011001 => 111001
011010 => 111010
011011 => 010011
011100 => 111100
011101 => 010101
011110 => 010110
011111 => 111111
100000 => 000000
100001 => 110001
100010 => 110010
100011 => 000011
100100 => 110100
100101 => 000101
100110 => 000110
100111 => 110111
101000 => 111000
101001 => 001001
101010 => 001010
101011 => 111011
101100 => 001100
101101 => 111101
101110 => 111110
101111 => 001111
110000 => 100000
110001 => 010001
110010 => 010010
110011 => 100011
110100 => 010100
110101 => 100101
110110 => 100110
110111 => 010111
111000 => 011000
111001 => 101001
111010 => 101010
111011 => 011011
111100 => 101100
111101 => 011101
111110 => 011110
111111 => 101111
0000000 => 0000001
0000001 => 1000001
0000010 => 1000010
0000011 => 0000010
0000100 => 1000100
0000101 => 0000111
0000110 => 0000100
0000111 => 1000111
0001000 => 1001000
0001001 => 0001101
0001010 => 0001110
0001011 => 1001011
0001100 => 0001000
0001101 => 1001101
0001110 => 1001110
0001111 => 0001011
0010000 => 1010000
0010001 => 0011001
0010010 => 0011010
0010011 => 1010011
0010100 => 0011100
0010101 => 1010101
0010110 => 1010110
0010111 => 0011111
0011000 => 0010000
0011001 => 1011001
0011010 => 1011010
0011011 => 0010011
0011100 => 1011100
0011101 => 0010101
0011110 => 0010110
0011111 => 1011111
0100000 => 1100000
0100001 => 0110001
0100010 => 0110010
0100011 => 1100011
0100100 => 0110100
0100101 => 1100101
0100110 => 1100110
0100111 => 0110111
0101000 => 0111000
0101001 => 1101001
0101010 => 1101010
0101011 => 0111011
0101100 => 1101100
0101101 => 0111101
0101110 => 0111110
0101111 => 1101111
0110000 => 0100000
0110001 => 1110001
0110010 => 1110010
0110011 => 0100011
0110100 => 1110100
0110101 => 0100101
0110110 => 0100110
0110111 => 1110111
0111000 => 1111000
0111001 => 0101001
0111010 => 0101010
0111011 => 1111011
0111100 => 0101100
0111101 => 1111101
0111110 => 1111110
0111111 => 0101111
1000000 => 0000000
1000001 => 1100001
1000010 => 1100010
1000011 => 0000011
1000100 => 1100100
1000101 => 0000101
1000110 => 0000110
1000111 => 1100111
1001000 => 1101000
1001001 => 0001001
1001010 => 0001010
1001011 => 1101011
1001100 => 0001100
1001101 => 1101101
1001110 => 1101110
1001111 => 0001111
1010000 => 1110000
1010001 => 0010001
1010010 => 0010010
1010011 => 1110011
1010100 => 0010100
1010101 => 1110101
1010110 => 1110110
1010111 => 0010111
1011000 => 0011000
1011001 => 1111001
1011010 => 1111010
1011011 => 0011011
1011100 => 1111100
1011101 => 0011101
1011110 => 0011110
1011111 => 1111111
1100000 => 1000000
1100001 => 0100001
1100010 => 0100010
1100011 => 1000011
1100100 => 0100100
1100101 => 1000101
1100110 => 1000110
1100111 => 0100111
1101000 => 0101000
1101001 => 1001001
1101010 => 1001010
1101011 => 0101011
1101100 => 1001100
1101101 => 0101101
1101110 => 0101110
1101111 => 1001111
1110000 => 0110000
1110001 => 1010001
1110010 => 1010010
1110011 => 0110011
1110100 => 1010100
1110101 => 0110101
1110110 => 0110110
1110111 => 1010111
1111000 => 1011000
1111001 => 0111001
1111010 => 0111010
1111011 => 1011011
1111100 => 0111100
1111101 => 1011101
1111110 => 1011110
1111111 => 0111111
00000000 => 00000001
00000001 => 10000001
00000010 => 10000010
00000011 => 00000010
00000100 => 10000100
00000101 => 00000111
00000110 => 00000100
00000111 => 10000111
00001000 => 10001000
00001001 => 00001101
00001010 => 00001110
00001011 => 10001011
00001100 => 00001000
00001101 => 10001101
00001110 => 10001110
00001111 => 00001011
00010000 => 10010000
00010001 => 00011001
00010010 => 00011010
00010011 => 10010011
00010100 => 00011100
00010101 => 10010101
00010110 => 10010110
00010111 => 00011111
00011000 => 00010000
00011001 => 10011001
00011010 => 10011010
00011011 => 00010011
00011100 => 10011100
00011101 => 00010101
00011110 => 00010110
00011111 => 10011111
00100000 => 10100000
00100001 => 00110001
00100010 => 00110010
00100011 => 10100011
00100100 => 00110100
00100101 => 10100101
00100110 => 10100110
00100111 => 00110111
00101000 => 00111000
00101001 => 10101001
00101010 => 10101010
00101011 => 00111011
00101100 => 10101100
00101101 => 00111101
00101110 => 00111110
00101111 => 10101111
00110000 => 00100000
00110001 => 10110001
00110010 => 10110010
00110011 => 00100011
00110100 => 10110100
00110101 => 00100101
00110110 => 00100110
00110111 => 10110111
00111000 => 10111000
00111001 => 00101001
00111010 => 00101010
00111011 => 10111011
00111100 => 00101100
00111101 => 10111101
00111110 => 10111110
00111111 => 00101111
01000000 => 11000000
01000001 => 01100001
01000010 => 01100010
01000011 => 11000011
01000100 => 01100100
01000101 => 11000101
01000110 => 11000110
01000111 => 01100111
01001000 => 01101000
01001001 => 11001001
01001010 => 11001010
01001011 => 01101011
01001100 => 11001100
01001101 => 01101101
01001110 => 01101110
01001111 => 11001111
01010000 => 01110000
01010001 => 11010001
01010010 => 11010010
01010011 => 01110011
01010100 => 11010100
01010101 => 01110101
01010110 => 01110110
01010111 => 11010111
01011000 => 11011000
01011001 => 01111001
01011010 => 01111010
01011011 => 11011011
01011100 => 01111100
01011101 => 11011101
01011110 => 11011110
01011111 => 01111111
01100000 => 01000000
01100001 => 11100001
01100010 => 11100010
01100011 => 01000011
01100100 => 11100100
01100101 => 01000101
01100110 => 01000110
01100111 => 11100111
01101000 => 11101000
01101001 => 01001001
01101010 => 01001010
01101011 => 11101011
01101100 => 01001100
01101101 => 11101101
01101110 => 11101110
01101111 => 01001111
01110000 => 11110000
01110001 => 01010001
01110010 => 01010010
01110011 => 11110011
01110100 => 01010100
01110101 => 11110101
01110110 => 11110110
01110111 => 01010111
01111000 => 01011000
01111001 => 11111001
01111010 => 11111010
01111011 => 01011011
01111100 => 11111100
01111101 => 01011101
01111110 => 01011110
01111111 => 11111111
10000000 => 00000000
10000001 => 11000001
10000010 => 11000010
10000011 => 00000011
10000100 => 11000100
10000101 => 00000101
10000110 => 00000110
10000111 => 11000111
10001000 => 11001000
10001001 => 00001001
10001010 => 00001010
10001011 => 11001011
10001100 => 00001100
10001101 => 11001101
10001110 => 11001110
10001111 => 00001111
10010000 => 11010000
10010001 => 00010001
10010010 => 00010010
10010011 => 11010011
10010100 => 00010100
10010101 => 11010101
10010110 => 11010110
10010111 => 00010111
10011000 => 00011000
10011001 => 11011001
10011010 => 11011010
10011011 => 00011011
10011100 => 11011100
10011101 => 00011101
10011110 => 00011110
10011111 => 11011111
10100000 => 11100000
10100001 => 00100001
10100010 => 00100010
10100011 => 11100011
10100100 => 00100100
10100101 => 11100101
10100110 => 11100110
10100111 => 00100111
10101000 => 00101000
10101001 => 11101001
10101010 => 11101010
10101011 => 00101011
10101100 => 11101100
10101101 => 00101101
10101110 => 00101110
10101111 => 11101111
10110000 => 00110000
10110001 => 11110001
10110010 => 11110010
10110011 => 00110011
10110100 => 11110100
10110101 => 00110101
10110110 => 00110110
10110111 => 11110111
10111000 => 11111000
10111001 => 00111001
10111010 => 00111010
10111011 => 11111011
10111100 => 00111100
10111101 => 11111101
10111110 => 11111110
10111111 => 00111111
11000000 => 10000000
11000001 => 01000001
11000010 => 01000010
11000011 => 10000011
11000100 => 01000100
11000101 => 10000101
11000110 => 10000110
11000111 => 01000111
11001000 => 01001000
11001001 => 10001001
11001010 => 10001010
11001011 => 01001011
11001100 => 10001100
11001101 => 01001101
11001110 => 01001110
11001111 => 10001111
11010000 => 01010000
11010001 => 10010001
11010010 => 10010010
11010011 => 01010011
11010100 => 10010100
11010101 => 01010101
11010110 => 01010110
11010111 => 10010111
11011000 => 10011000
11011001 => 01011001
11011010 => 01011010
11011011 => 10011011
11011100 => 01011100
11011101 => 10011101
11011110 => 10011110
11011111 => 01011111
11100000 => 01100000
11100001 => 10100001
11100010 => 10100010
11100011 => 01100011
11100100 => 10100100
11100101 => 01100101
11100110 => 01100110
11100111 => 10100111
11101000 => 10101000
11101001 => 01101001
11101010 => 01101010
11101011 => 10101011
11101100 => 01101100
11101101 => 10101101
11101110 => 10101110
11101111 => 01101111
11110000 => 10110000
11110001 => 01110001
11110010 => 01110010
11110011 => 10110011
11110100 => 01110100
11110101 => 10110101
11110110 => 10110110
11110111 => 01110111
11111000 => 01111000
11111001 => 10111001
11111010 => 10111010
11111011 => 01111011
11111100 => 10111100
11111101 => 01111101
11111110 => 01111110
11111111 => 10111111
000000000 => 000000001
000000001 => 100000001
000000010 => 100000010
000000011 => 000000010
000000100 => 100000100
000000101 => 000000111
000000110 => 000000100
000000111 => 100000111
000001000 => 100001000
000001001 => 000001101
000001010 => 000001110
000001011 => 100001011
000001100 => 000001000
000001101 => 100001101
000001110 => 100001110
000001111 => 000001011
000010000 => 100010000
000010001 => 000011001
000010010 => 000011010
000010011 => 100010011
000010100 => 000011100
000010101 => 100010101
000010110 => 100010110
000010111 => 000011111
000011000 => 000010000
000011001 => 100011001
000011010 => 100011010
000011011 => 000010011
000011100 => 100011100
000011101 => 000010101
000011110 => 000010110
000011111 => 100011111
000100000 => 100100000
000100001 => 000110001
000100010 => 000110010
000100011 => 100100011
000100100 => 000110100
000100101 => 100100101
000100110 => 100100110
000100111 => 000110111
000101000 => 000111000
000101001 => 100101001
000101010 => 100101010
000101011 => 000111011
000101100 => 100101100
000101101 => 000111101
000101110 => 000111110
000101111 => 100101111
000110000 => 000100000
000110001 => 100110001
000110010 => 100110010
000110011 => 000100011
000110100 => 100110100
000110101 => 000100101
000110110 => 000100110
000110111 => 100110111
000111000 => 100111000
000111001 => 000101001
000111010 => 000101010
000111011 => 100111011
000111100 => 000101100
000111101 => 100111101
000111110 => 100111110
000111111 => 000101111
001000000 => 101000000
001000001 => 001100001
001000010 => 001100010
001000011 => 101000011
001000100 => 001100100
001000101 => 101000101
001000110 => 101000110
001000111 => 001100111
001001000 => 001101000
001001001 => 101001001
001001010 => 101001010
001001011 => 001101011
001001100 => 101001100
001001101 => 001101101
001001110 => 001101110
001001111 => 101001111
001010000 => 001110000
001010001 => 101010001
001010010 => 101010010
001010011 => 001110011
001010100 => 101010100
001010101 => 001110101
001010110 => 001110110
001010111 => 101010111
001011000 => 101011000
001011001 => 001111001
001011010 => 001111010
001011011 => 101011011
001011100 => 001111100
001011101 => 101011101
001011110 => 101011110
001011111 => 001111111
001100000 => 001000000
001100001 => 101100001
001100010 => 101100010
001100011 => 001000011
001100100 => 101100100
001100101 => 001000101
001100110 => 001000110
001100111 => 101100111
001101000 => 101101000
001101001 => 001001001
001101010 => 001001010
001101011 => 101101011
001101100 => 001001100
001101101 => 101101101
001101110 => 101101110
001101111 => 001001111
001110000 => 101110000
001110001 => 001010001
001110010 => 001010010
001110011 => 101110011
001110100 => 001010100
001110101 => 101110101
001110110 => 101110110
001110111 => 001010111
001111000 => 001011000
001111001 => 101111001
001111010 => 101111010
001111011 => 001011011
001111100 => 101111100
001111101 => 001011101
001111110 => 001011110
001111111 => 101111111
010000000 => 110000000
010000001 => 011000001
010000010 => 011000010
010000011 => 110000011
010000100 => 011000100
010000101 => 110000101
010000110 => 110000110
010000111 => 011000111
010001000 => 011001000
010001001 => 110001001
010001010 => 110001010
010001011 => 011001011
010001100 => 110001100
010001101 => 011001101
010001110 => 011001110
010001111 => 110001111
010010000 => 011010000
010010001 => 110010001
010010010 => 110010010
010010011 => 011010011
010010100 => 110010100
010010101 => 011010101
010010110 => 011010110
010010111 => 110010111
010011000 => 110011000
010011001 => 011011001
010011010 => 011011010
010011011 => 110011011
010011100 => 011011100
010011101 => 110011101
010011110 => 110011110
010011111 => 011011111
010100000 => 011100000
010100001 => 110100001
010100010 => 110100010
010100011 => 011100011
010100100 => 110100100
010100101 => 011100101
010100110 => 011100110
010100111 => 110100111
010101000 => 110101000
010101001 => 011101001
010101010 => 011101010
010101011 => 110101011
010101100 => 011101100
010101101 => 110101101
010101110 => 110101110
010101111 => 011101111
010110000 => 110110000
010110001 => 011110001
010110010 => 011110010
010110011 => 110110011
010110100 => 011110100
010110101 => 110110101
010110110 => 110110110
010110111 => 011110111
010111000 => 011111000
010111001 => 110111001
010111010 => 110111010
010111011 => 011111011
010111100 => 110111100
010111101 => 011111101
010111110 => 011111110
010111111 => 110111111
011000000 => 010000000
011000001 => 111000001
011000010 => 111000010
011000011 => 010000011
011000100 => 111000100
011000101 => 010000101
011000110 => 010000110
011000111 => 111000111
011001000 => 111001000
011001001 => 010001001
011001010 => 010001010
011001011 => 111001011
011001100 => 010001100
011001101 => 111001101
011001110 => 111001110
011001111 => 010001111
011010000 => 111010000
011010001 => 010010001
011010010 => 010010010
011010011 => 111010011
011010100 => 010010100
011010101 => 111010101
011010110 => 111010110
011010111 => 010010111
011011000 => 010011000
011011001 => 111011001
011011010 => 111011010
011011011 => 010011011
011011100 => 111011100
011011101 => 010011101
011011110 => 010011110
011011111 => 111011111
011100000 => 111100000
011100001 => 010100001
011100010 => 010100010
011100011 => 111100011
011100100 => 010100100
011100101 => 111100101
011100110 => 111100110
011100111 => 010100111
011101000 => 010101000
011101001 => 111101001
011101010 => 111101010
011101011 => 010101011
011101100 => 111101100
011101101 => 010101101
011101110 => 010101110
011101111 => 111101111
011110000 => 010110000
011110001 => 111110001
011110010 => 111110010
011110011 => 010110011
011110100 => 111110100
011110101 => 010110101
011110110 => 010110110
011110111 => 111110111
011111000 => 111111000
011111001 => 010111001
011111010 => 010111010
011111011 => 111111011
011111100 => 010111100
011111101 => 111111101
011111110 => 111111110
011111111 => 010111111
100000000 => 000000000
100000001 => 110000001
100000010 => 110000010
100000011 => 000000011
100000100 => 110000100
100000101 => 000000101
100000110 => 000000110
100000111 => 110000111
100001000 => 110001000
100001001 => 000001001
100001010 => 000001010
100001011 => 110001011
100001100 => 000001100
100001101 => 110001101
100001110 => 110001110
100001111 => 000001111
100010000 => 110010000
100010001 => 000010001
100010010 => 000010010
100010011 => 110010011
100010100 => 000010100
100010101 => 110010101
100010110 => 110010110
100010111 => 000010111
100011000 => 000011000
100011001 => 110011001
100011010 => 110011010
100011011 => 000011011
100011100 => 110011100
100011101 => 000011101
100011110 => 000011110
100011111 => 110011111
100100000 => 110100000
100100001 => 000100001
100100010 => 000100010
100100011 => 110100011
100100100 => 000100100
100100101 => 110100101
100100110 => 110100110
100100111 => 000100111
100101000 => 000101000
100101001 => 110101001
100101010 => 110101010
100101011 => 000101011
100101100 => 110101100
100101101 => 000101101
100101110 => 000101110
100101111 => 110101111
100110000 => 000110000
100110001 => 110110001
100110010 => 110110010
100110011 => 000110011
100110100 => 110110100
100110101 => 000110101
100110110 => 000110110
100110111 => 110110111
100111000 => 110111000
100111001 => 000111001
100111010 => 000111010
100111011 => 110111011
100111100 => 000111100
100111101 => 110111101
100111110 => 110111110
100111111 => 000111111
101000000 => 111000000
101000001 => 001000001
101000010 => 001000010
101000011 => 111000011
101000100 => 001000100
101000101 => 111000101
101000110 => 111000110
101000111 => 001000111
101001000 => 001001000
101001001 => 111001001
101001010 => 111001010
101001011 => 001001011
101001100 => 111001100
101001101 => 001001101
101001110 => 001001110
101001111 => 111001111
101010000 => 001010000
101010001 => 111010001
101010010 => 111010010
101010011 => 001010011
101010100 => 111010100
101010101 => 001010101
101010110 => 001010110
101010111 => 111010111
101011000 => 111011000
101011001 => 001011001
101011010 => 001011010
101011011 => 111011011
101011100 => 001011100
101011101 => 111011101
101011110 => 111011110
101011111 => 001011111
101100000 => 001100000
101100001 => 111100001
101100010 => 111100010
101100011 => 001100011
101100100 => 111100100
101100101 => 001100101
101100110 => 001100110
101100111 => 111100111
101101000 => 111101000
101101001 => 001101001
101101010 => 001101010
101101011 => 111101011
101101100 => 001101100
101101101 => 111101101
101101110 => 111101110
101101111 => 001101111
101110000 => 111110000
101110001 => 001110001
101110010 => 001110010
101110011 => 111110011
101110100 => 001110100
101110101 => 111110101
101110110 => 111110110
101110111 => 001110111
101111000 => 001111000
101111001 => 111111001
101111010 => 111111010
101111011 => 001111011
101111100 => 111111100
101111101 => 001111101
101111110 => 001111110
101111111 => 111111111
110000000 => 100000000
110000001 => 010000001
110000010 => 010000010
110000011 => 100000011
110000100 => 010000100
110000101 => 100000101
110000110 => 100000110
110000111 => 010000111
110001000 => 010001000
110001001 => 100001001
110001010 => 100001010
110001011 => 010001011
110001100 => 100001100
110001101 => 010001101
110001110 => 010001110
110001111 => 100001111
110010000 => 010010000
110010001 => 100010001
110010010 => 100010010
110010011 => 010010011
110010100 => 100010100
110010101 => 010010101
110010110 => 010010110
110010111 => 100010111
110011000 => 100011000
110011001 => 010011001
110011010 => 010011010
110011011 => 100011011
110011100 => 010011100
110011101 => 100011101
110011110 => 100011110
110011111 => 010011111
110100000 => 010100000
110100001 => 100100001
110100010 => 100100010
110100011 => 010100011
110100100 => 100100100
110100101 => 010100101
110100110 => 010100110
110100111 => 100100111
110101000 => 100101000
110101001 => 010101001
110101010 => 010101010
110101011 => 100101011
110101100 => 010101100
110101101 => 100101101
110101110 => 100101110
110101111 => 010101111
110110000 => 100110000
110110001 => 010110001
110110010 => 010110010
110110011 => 100110011
110110100 => 010110100
110110101 => 100110101
110110110 => 100110110
110110111 => 010110111
110111000 => 010111000
110111001 => 100111001
110111010 => 100111010
110111011 => 010111011
110111100 => 100111100
110111101 => 010111101
110111110 => 010111110
110111111 => 100111111
111000000 => 011000000
111000001 => 101000001
111000010 => 101000010
111000011 => 011000011
111000100 => 101000100
111000101 => 011000101
111000110 => 011000110
111000111 => 101000111
111001000 => 101001000
111001001 => 011001001
111001010 => 011001010
111001011 => 101001011
111001100 => 011001100
111001101 => 101001101
111001110 => 101001110
111001111 => 011001111
111010000 => 101010000
111010001 => 011010001
111010010 => 011010010
111010011 => 101010011
111010100 => 011010100
111010101 => 101010101
111010110 => 101010110
111010111 => 011010111
111011000 => 011011000
111011001 => 101011001
111011010 => 101011010
111011011 => 011011011
111011100 => 101011100
111011101 => 011011101
111011110 => 011011110
111011111 => 101011111
111100000 => 101100000
111100001 => 011100001
111100010 => 011100010
111100011 => 101100011
111100100 => 011100100
111100101 => 101100101
111100110 => 101100110
111100111 => 011100111
111101000 => 011101000
111101001 => 101101001
111101010 => 101101010
111101011 => 011101011
111101100 => 101101100
111101101 => 011101101
111101110 => 011101110
111101111 => 101101111
111110000 => 011110000
111110001 => 101110001
111110010 => 101110010
111110011 => 011110011
111110100 => 101110100
111110101 => 011110101
111110110 => 011110110
111110111 => 101110111
111111000 => 101111000
111111001 => 011111001
111111010 => 011111010
111111011 => 101111011
111111100 => 011111100
111111101 => 101111101
111111110 => 101111110
111111111 => 011111111
1010101010 => 0010101010
1010101100 => 0010101100
1010110010 => 0010110010
1010110100 => 0010110100
1010111000 => 0010111000
1011001010 => 0011001010
1011001100 => 0011001100
1011010010 => 0011010010
1011010100 => 0011010100
1011011000 => 0011011000
1011100010 => 0011100010
1011100100 => 0011100100
1011101000 => 0011101000
1011110000 => 0011110000
1100101010 => 0100101010
1100101100 => 0100101100
1100110010 => 0100110010
1100110100 => 0100110100
1100111000 => 0100111000
1101001010 => 0101001010
1101001100 => 0101001100
1101010010 => 0101010010
1101010100 => 0101010100
1101011000 => 0101011000
1101100010 => 0101100010
1101100100 => 0101100100
1101101000 => 0101101000
1101110000 => 0101110000
1110001010 => 0110001010
1110001100 => 0110001100
1110010010 => 0110010010
1110010100 => 0110010100
1110011000 => 0110011000
1110100010 => 0110100010
1110100100 => 0110100100
1110101000 => 0110101000
1110110000 => 0110110000
1111000010 => 0111000010
1111000100 => 0111000100
1111001000 => 0111001000
1111010000 => 0111010000
1111100000 => 0111100000
1111111111 => 1011111111
1111111110 => 0111111110
1111111001 => 1011111001
1111101101 => 1011101101
101010101010 => 111010101010
101010101100 => 111010101100
101010110010 => 111010110010
101010110100 => 111010110100
101010111000 => 111010111000
101011001010 => 111011001010
101011001100 => 111011001100
101011010010 => 111011010010
101011010100 => 111011010100
101011011000 => 111011011000
101011100010 => 111011100010
101011100100 => 111011100100
101011101000 => 111011101000
101011110000 => 111011110000
101100101010 => 111100101010
101100101100 => 111100101100
101100110010 => 111100110010
101100110100 => 111100110100
101100111000 => 111100111000
101101001010 => 111101001010
101101001100 => 111101001100
101101010010 => 111101010010
101101010100 => 111101010100
101101011000 => 111101011000
101101100010 => 111101100010
101101100100 => 111101100100
101101101000 => 111101101000
101101110000 => 111101110000
101110001010 => 111110001010
101110001100 => 111110001100
101110010010 => 111110010010
101110010100 => 111110010100
101110011000 => 111110011000
101110100010 => 111110100010
101110100100 => 111110100100
101110101000 => 111110101000
101110110000 => 111110110000
101111000010 => 111111000010
101111000100 => 111111000100
101111001000 => 111111001000
101111010000 => 111111010000
101111100000 => 111111100000
110010101010 => 100010101010
110010101100 => 100010101100
110010110010 => 100010110010
110010110100 => 100010110100
110010111000 => 100010111000
110011001010 => 100011001010
110011001100 => 100011001100
110011010010 => 100011010010
110011010100 => 100011010100
110011011000 => 100011011000
110011100010 => 100011100010
110011100100 => 100011100100
110011101000 => 100011101000
110011110000 => 100011110000
110100101010 => 100100101010
110100101100 => 100100101100
110100110010 => 100100110010
110100110100 => 100100110100
110100111000 => 100100111000
110101001010 => 100101001010
110101001100 => 100101001100
110101010010 => 100101010010
110101010100 => 100101010100
110101011000 => 100101011000
110101100010 => 100101100010
110101100100 => 100101100100
110101101000 => 100101101000
110101110000 => 100101110000
110110001010 => 100110001010
110110001100 => 100110001100
110110010010 => 100110010010
110110010100 => 100110010100
110110011000 => 100110011000
110110100010 => 100110100010
110110100100 => 100110100100
110110101000 => 100110101000
110110110000 => 100110110000
110111000010 => 100111000010
110111000100 => 100111000100
110111001000 => 100111001000
110111010000 => 100111010000
110111100000 => 100111100000
111000101010 => 101000101010
111000101100 => 101000101100
111000110010 => 101000110010
111000110100 => 101000110100
111000111000 => 101000111000
111001001010 => 101001001010
111001001100 => 101001001100
111001010010 => 101001010010
111001010100 => 101001010100
111001011000 => 101001011000
111001100010 => 101001100010
111001100100 => 101001100100
111001101000 => 101001101000
111001110000 => 101001110000
111010001010 => 101010001010
111010001100 => 101010001100
111010010010 => 101010010010
111010010100 => 101010010100
111010011000 => 101010011000
111010100010 => 101010100010
111010100100 => 101010100100
111010101000 => 101010101000
111010110000 => 101010110000
111011000010 => 101011000010
111011000100 => 101011000100
111011001000 => 101011001000
111011010000 => 101011010000
111011100000 => 101011100000
111100001010 => 101100001010
111100001100 => 101100001100
111100010010 => 101100010010
111100010100 => 101100010100
111100011000 => 101100011000
111100100010 => 101100100010
111100100100 => 101100100100
111100101000 => 101100101000
111100110000 => 101100110000
111101000010 => 101101000010
111101000100 => 101101000100
111101001000 => 101101001000
111101010000 => 101101010000
111101100000 => 101101100000
111110000010 => 101110000010
111110000100 => 101110000100
111110001000 => 101110001000
111110010000 => 101110010000
111110100000 => 101110100000
111111000000 => 101111000000
-----------------------------------------------------------------------------
Created: Dec 08, 2022 at 17:42 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Dec 08, 2022 at 17:42 by Martin Rubey