************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
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* 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: Mp00268
------------------------------------------------------------------------
Map name: zeros to flag zeros
------------------------------------------------------------------------
Domain: Binary words
------------------------------------------------------------------------
Codomain: Binary words
------------------------------------------------------------------------
Description: Return a binary word of the same length, such that the number of occurrences of $10$ in the word obtained by prepending the reverse of the complement equals the number of $0$s in the original word.
For example, the image of the word $w=1\dots1$ is $1\dots1$, because $w$ has no zeros, and $1\dots1$ is the only word such that prepending the reverse of its complement has no occurrence of the factor $10$.
On the other hand, $0\dots0$ must be mapped to $10\dots10$ if the length is even, and $010\dots10$ if it is odd.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(w):
n = len(w)
zeros = [-1] + [i for i in range(n) if w[i] == 0]
zeros = [zeros[i] - zeros[i-1] - 1 for i in range(1, len(zeros))]
result = []
letter = 1
for b in zeros:
result += [letter]*b
if letter == 0:
result += [0, 1]
letter = 1 - letter
result += [letter]*(n-len(result))
return Words([0,1])(reversed(result))
------------------------------------------------------------------------
Map images:
0 => 0
1 => 1
00 => 10
01 => 00
10 => 01
11 => 11
000 => 010
001 => 110
010 => 100
011 => 000
100 => 101
101 => 001
110 => 011
111 => 111
0000 => 1010
0001 => 0010
0010 => 0110
0011 => 1110
0100 => 0100
0101 => 1100
0110 => 1000
0111 => 0000
1000 => 0101
1001 => 1101
1010 => 1001
1011 => 0001
1100 => 1011
1101 => 0011
1110 => 0111
1111 => 1111
00000 => 01010
00001 => 11010
00010 => 10010
00011 => 00010
00100 => 10110
00101 => 00110
00110 => 01110
00111 => 11110
01000 => 10100
01001 => 00100
01010 => 01100
01011 => 11100
01100 => 01000
01101 => 11000
01110 => 10000
01111 => 00000
10000 => 10101
10001 => 00101
10010 => 01101
10011 => 11101
10100 => 01001
10101 => 11001
10110 => 10001
10111 => 00001
11000 => 01011
11001 => 11011
11010 => 10011
11011 => 00011
11100 => 10111
11101 => 00111
11110 => 01111
11111 => 11111
000000 => 101010
000001 => 001010
000010 => 011010
000011 => 111010
000100 => 010010
000101 => 110010
000110 => 100010
000111 => 000010
001000 => 010110
001001 => 110110
001010 => 100110
001011 => 000110
001100 => 101110
001101 => 001110
001110 => 011110
001111 => 111110
010000 => 010100
010001 => 110100
010010 => 100100
010011 => 000100
010100 => 101100
010101 => 001100
010110 => 011100
010111 => 111100
011000 => 101000
011001 => 001000
011010 => 011000
011011 => 111000
011100 => 010000
011101 => 110000
011110 => 100000
011111 => 000000
100000 => 010101
100001 => 110101
100010 => 100101
100011 => 000101
100100 => 101101
100101 => 001101
100110 => 011101
100111 => 111101
101000 => 101001
101001 => 001001
101010 => 011001
101011 => 111001
101100 => 010001
101101 => 110001
101110 => 100001
101111 => 000001
110000 => 101011
110001 => 001011
110010 => 011011
110011 => 111011
110100 => 010011
110101 => 110011
110110 => 100011
110111 => 000011
111000 => 010111
111001 => 110111
111010 => 100111
111011 => 000111
111100 => 101111
111101 => 001111
111110 => 011111
111111 => 111111
0000000 => 0101010
0000001 => 1101010
0000010 => 1001010
0000011 => 0001010
0000100 => 1011010
0000101 => 0011010
0000110 => 0111010
0000111 => 1111010
0001000 => 1010010
0001001 => 0010010
0001010 => 0110010
0001011 => 1110010
0001100 => 0100010
0001101 => 1100010
0001110 => 1000010
0001111 => 0000010
0010000 => 1010110
0010001 => 0010110
0010010 => 0110110
0010011 => 1110110
0010100 => 0100110
0010101 => 1100110
0010110 => 1000110
0010111 => 0000110
0011000 => 0101110
0011001 => 1101110
0011010 => 1001110
0011011 => 0001110
0011100 => 1011110
0011101 => 0011110
0011110 => 0111110
0011111 => 1111110
0100000 => 1010100
0100001 => 0010100
0100010 => 0110100
0100011 => 1110100
0100100 => 0100100
0100101 => 1100100
0100110 => 1000100
0100111 => 0000100
0101000 => 0101100
0101001 => 1101100
0101010 => 1001100
0101011 => 0001100
0101100 => 1011100
0101101 => 0011100
0101110 => 0111100
0101111 => 1111100
0110000 => 0101000
0110001 => 1101000
0110010 => 1001000
0110011 => 0001000
0110100 => 1011000
0110101 => 0011000
0110110 => 0111000
0110111 => 1111000
0111000 => 1010000
0111001 => 0010000
0111010 => 0110000
0111011 => 1110000
0111100 => 0100000
0111101 => 1100000
0111110 => 1000000
0111111 => 0000000
1000000 => 1010101
1000001 => 0010101
1000010 => 0110101
1000011 => 1110101
1000100 => 0100101
1000101 => 1100101
1000110 => 1000101
1000111 => 0000101
1001000 => 0101101
1001001 => 1101101
1001010 => 1001101
1001011 => 0001101
1001100 => 1011101
1001101 => 0011101
1001110 => 0111101
1001111 => 1111101
1010000 => 0101001
1010001 => 1101001
1010010 => 1001001
1010011 => 0001001
1010100 => 1011001
1010101 => 0011001
1010110 => 0111001
1010111 => 1111001
1011000 => 1010001
1011001 => 0010001
1011010 => 0110001
1011011 => 1110001
1011100 => 0100001
1011101 => 1100001
1011110 => 1000001
1011111 => 0000001
1100000 => 0101011
1100001 => 1101011
1100010 => 1001011
1100011 => 0001011
1100100 => 1011011
1100101 => 0011011
1100110 => 0111011
1100111 => 1111011
1101000 => 1010011
1101001 => 0010011
1101010 => 0110011
1101011 => 1110011
1101100 => 0100011
1101101 => 1100011
1101110 => 1000011
1101111 => 0000011
1110000 => 1010111
1110001 => 0010111
1110010 => 0110111
1110011 => 1110111
1110100 => 0100111
1110101 => 1100111
1110110 => 1000111
1110111 => 0000111
1111000 => 0101111
1111001 => 1101111
1111010 => 1001111
1111011 => 0001111
1111100 => 1011111
1111101 => 0011111
1111110 => 0111111
1111111 => 1111111
00000000 => 10101010
00000001 => 00101010
00000010 => 01101010
00000011 => 11101010
00000100 => 01001010
00000101 => 11001010
00000110 => 10001010
00000111 => 00001010
00001000 => 01011010
00001001 => 11011010
00001010 => 10011010
00001011 => 00011010
00001100 => 10111010
00001101 => 00111010
00001110 => 01111010
00001111 => 11111010
00010000 => 01010010
00010001 => 11010010
00010010 => 10010010
00010011 => 00010010
00010100 => 10110010
00010101 => 00110010
00010110 => 01110010
00010111 => 11110010
00011000 => 10100010
00011001 => 00100010
00011010 => 01100010
00011011 => 11100010
00011100 => 01000010
00011101 => 11000010
00011110 => 10000010
00011111 => 00000010
00100000 => 01010110
00100001 => 11010110
00100010 => 10010110
00100011 => 00010110
00100100 => 10110110
00100101 => 00110110
00100110 => 01110110
00100111 => 11110110
00101000 => 10100110
00101001 => 00100110
00101010 => 01100110
00101011 => 11100110
00101100 => 01000110
00101101 => 11000110
00101110 => 10000110
00101111 => 00000110
00110000 => 10101110
00110001 => 00101110
00110010 => 01101110
00110011 => 11101110
00110100 => 01001110
00110101 => 11001110
00110110 => 10001110
00110111 => 00001110
00111000 => 01011110
00111001 => 11011110
00111010 => 10011110
00111011 => 00011110
00111100 => 10111110
00111101 => 00111110
00111110 => 01111110
00111111 => 11111110
01000000 => 01010100
01000001 => 11010100
01000010 => 10010100
01000011 => 00010100
01000100 => 10110100
01000101 => 00110100
01000110 => 01110100
01000111 => 11110100
01001000 => 10100100
01001001 => 00100100
01001010 => 01100100
01001011 => 11100100
01001100 => 01000100
01001101 => 11000100
01001110 => 10000100
01001111 => 00000100
01010000 => 10101100
01010001 => 00101100
01010010 => 01101100
01010011 => 11101100
01010100 => 01001100
01010101 => 11001100
01010110 => 10001100
01010111 => 00001100
01011000 => 01011100
01011001 => 11011100
01011010 => 10011100
01011011 => 00011100
01011100 => 10111100
01011101 => 00111100
01011110 => 01111100
01011111 => 11111100
01100000 => 10101000
01100001 => 00101000
01100010 => 01101000
01100011 => 11101000
01100100 => 01001000
01100101 => 11001000
01100110 => 10001000
01100111 => 00001000
01101000 => 01011000
01101001 => 11011000
01101010 => 10011000
01101011 => 00011000
01101100 => 10111000
01101101 => 00111000
01101110 => 01111000
01101111 => 11111000
01110000 => 01010000
01110001 => 11010000
01110010 => 10010000
01110011 => 00010000
01110100 => 10110000
01110101 => 00110000
01110110 => 01110000
01110111 => 11110000
01111000 => 10100000
01111001 => 00100000
01111010 => 01100000
01111011 => 11100000
01111100 => 01000000
01111101 => 11000000
01111110 => 10000000
01111111 => 00000000
10000000 => 01010101
10000001 => 11010101
10000010 => 10010101
10000011 => 00010101
10000100 => 10110101
10000101 => 00110101
10000110 => 01110101
10000111 => 11110101
10001000 => 10100101
10001001 => 00100101
10001010 => 01100101
10001011 => 11100101
10001100 => 01000101
10001101 => 11000101
10001110 => 10000101
10001111 => 00000101
10010000 => 10101101
10010001 => 00101101
10010010 => 01101101
10010011 => 11101101
10010100 => 01001101
10010101 => 11001101
10010110 => 10001101
10010111 => 00001101
10011000 => 01011101
10011001 => 11011101
10011010 => 10011101
10011011 => 00011101
10011100 => 10111101
10011101 => 00111101
10011110 => 01111101
10011111 => 11111101
10100000 => 10101001
10100001 => 00101001
10100010 => 01101001
10100011 => 11101001
10100100 => 01001001
10100101 => 11001001
10100110 => 10001001
10100111 => 00001001
10101000 => 01011001
10101001 => 11011001
10101010 => 10011001
10101011 => 00011001
10101100 => 10111001
10101101 => 00111001
10101110 => 01111001
10101111 => 11111001
10110000 => 01010001
10110001 => 11010001
10110010 => 10010001
10110011 => 00010001
10110100 => 10110001
10110101 => 00110001
10110110 => 01110001
10110111 => 11110001
10111000 => 10100001
10111001 => 00100001
10111010 => 01100001
10111011 => 11100001
10111100 => 01000001
10111101 => 11000001
10111110 => 10000001
10111111 => 00000001
11000000 => 10101011
11000001 => 00101011
11000010 => 01101011
11000011 => 11101011
11000100 => 01001011
11000101 => 11001011
11000110 => 10001011
11000111 => 00001011
11001000 => 01011011
11001001 => 11011011
11001010 => 10011011
11001011 => 00011011
11001100 => 10111011
11001101 => 00111011
11001110 => 01111011
11001111 => 11111011
11010000 => 01010011
11010001 => 11010011
11010010 => 10010011
11010011 => 00010011
11010100 => 10110011
11010101 => 00110011
11010110 => 01110011
11010111 => 11110011
11011000 => 10100011
11011001 => 00100011
11011010 => 01100011
11011011 => 11100011
11011100 => 01000011
11011101 => 11000011
11011110 => 10000011
11011111 => 00000011
11100000 => 01010111
11100001 => 11010111
11100010 => 10010111
11100011 => 00010111
11100100 => 10110111
11100101 => 00110111
11100110 => 01110111
11100111 => 11110111
11101000 => 10100111
11101001 => 00100111
11101010 => 01100111
11101011 => 11100111
11101100 => 01000111
11101101 => 11000111
11101110 => 10000111
11101111 => 00000111
11110000 => 10101111
11110001 => 00101111
11110010 => 01101111
11110011 => 11101111
11110100 => 01001111
11110101 => 11001111
11110110 => 10001111
11110111 => 00001111
11111000 => 01011111
11111001 => 11011111
11111010 => 10011111
11111011 => 00011111
11111100 => 10111111
11111101 => 00111111
11111110 => 01111111
11111111 => 11111111
000000000 => 010101010
000000001 => 110101010
000000010 => 100101010
000000011 => 000101010
000000100 => 101101010
000000101 => 001101010
000000110 => 011101010
000000111 => 111101010
000001000 => 101001010
000001001 => 001001010
000001010 => 011001010
000001011 => 111001010
000001100 => 010001010
000001101 => 110001010
000001110 => 100001010
000001111 => 000001010
000010000 => 101011010
000010001 => 001011010
000010010 => 011011010
000010011 => 111011010
000010100 => 010011010
000010101 => 110011010
000010110 => 100011010
000010111 => 000011010
000011000 => 010111010
000011001 => 110111010
000011010 => 100111010
000011011 => 000111010
000011100 => 101111010
000011101 => 001111010
000011110 => 011111010
000011111 => 111111010
000100000 => 101010010
000100001 => 001010010
000100010 => 011010010
000100011 => 111010010
000100100 => 010010010
000100101 => 110010010
000100110 => 100010010
000100111 => 000010010
000101000 => 010110010
000101001 => 110110010
000101010 => 100110010
000101011 => 000110010
000101100 => 101110010
000101101 => 001110010
000101110 => 011110010
000101111 => 111110010
000110000 => 010100010
000110001 => 110100010
000110010 => 100100010
000110011 => 000100010
000110100 => 101100010
000110101 => 001100010
000110110 => 011100010
000110111 => 111100010
000111000 => 101000010
000111001 => 001000010
000111010 => 011000010
000111011 => 111000010
000111100 => 010000010
000111101 => 110000010
000111110 => 100000010
000111111 => 000000010
001000000 => 101010110
001000001 => 001010110
001000010 => 011010110
001000011 => 111010110
001000100 => 010010110
001000101 => 110010110
001000110 => 100010110
001000111 => 000010110
001001000 => 010110110
001001001 => 110110110
001001010 => 100110110
001001011 => 000110110
001001100 => 101110110
001001101 => 001110110
001001110 => 011110110
001001111 => 111110110
001010000 => 010100110
001010001 => 110100110
001010010 => 100100110
001010011 => 000100110
001010100 => 101100110
001010101 => 001100110
001010110 => 011100110
001010111 => 111100110
001011000 => 101000110
001011001 => 001000110
001011010 => 011000110
001011011 => 111000110
001011100 => 010000110
001011101 => 110000110
001011110 => 100000110
001011111 => 000000110
001100000 => 010101110
001100001 => 110101110
001100010 => 100101110
001100011 => 000101110
001100100 => 101101110
001100101 => 001101110
001100110 => 011101110
001100111 => 111101110
001101000 => 101001110
001101001 => 001001110
001101010 => 011001110
001101011 => 111001110
001101100 => 010001110
001101101 => 110001110
001101110 => 100001110
001101111 => 000001110
001110000 => 101011110
001110001 => 001011110
001110010 => 011011110
001110011 => 111011110
001110100 => 010011110
001110101 => 110011110
001110110 => 100011110
001110111 => 000011110
001111000 => 010111110
001111001 => 110111110
001111010 => 100111110
001111011 => 000111110
001111100 => 101111110
001111101 => 001111110
001111110 => 011111110
001111111 => 111111110
010000000 => 101010100
010000001 => 001010100
010000010 => 011010100
010000011 => 111010100
010000100 => 010010100
010000101 => 110010100
010000110 => 100010100
010000111 => 000010100
010001000 => 010110100
010001001 => 110110100
010001010 => 100110100
010001011 => 000110100
010001100 => 101110100
010001101 => 001110100
010001110 => 011110100
010001111 => 111110100
010010000 => 010100100
010010001 => 110100100
010010010 => 100100100
010010011 => 000100100
010010100 => 101100100
010010101 => 001100100
010010110 => 011100100
010010111 => 111100100
010011000 => 101000100
010011001 => 001000100
010011010 => 011000100
010011011 => 111000100
010011100 => 010000100
010011101 => 110000100
010011110 => 100000100
010011111 => 000000100
010100000 => 010101100
010100001 => 110101100
010100010 => 100101100
010100011 => 000101100
010100100 => 101101100
010100101 => 001101100
010100110 => 011101100
010100111 => 111101100
010101000 => 101001100
010101001 => 001001100
010101010 => 011001100
010101011 => 111001100
010101100 => 010001100
010101101 => 110001100
010101110 => 100001100
010101111 => 000001100
010110000 => 101011100
010110001 => 001011100
010110010 => 011011100
010110011 => 111011100
010110100 => 010011100
010110101 => 110011100
010110110 => 100011100
010110111 => 000011100
010111000 => 010111100
010111001 => 110111100
010111010 => 100111100
010111011 => 000111100
010111100 => 101111100
010111101 => 001111100
010111110 => 011111100
010111111 => 111111100
011000000 => 010101000
011000001 => 110101000
011000010 => 100101000
011000011 => 000101000
011000100 => 101101000
011000101 => 001101000
011000110 => 011101000
011000111 => 111101000
011001000 => 101001000
011001001 => 001001000
011001010 => 011001000
011001011 => 111001000
011001100 => 010001000
011001101 => 110001000
011001110 => 100001000
011001111 => 000001000
011010000 => 101011000
011010001 => 001011000
011010010 => 011011000
011010011 => 111011000
011010100 => 010011000
011010101 => 110011000
011010110 => 100011000
011010111 => 000011000
011011000 => 010111000
011011001 => 110111000
011011010 => 100111000
011011011 => 000111000
011011100 => 101111000
011011101 => 001111000
011011110 => 011111000
011011111 => 111111000
011100000 => 101010000
011100001 => 001010000
011100010 => 011010000
011100011 => 111010000
011100100 => 010010000
011100101 => 110010000
011100110 => 100010000
011100111 => 000010000
011101000 => 010110000
011101001 => 110110000
011101010 => 100110000
011101011 => 000110000
011101100 => 101110000
011101101 => 001110000
011101110 => 011110000
011101111 => 111110000
011110000 => 010100000
011110001 => 110100000
011110010 => 100100000
011110011 => 000100000
011110100 => 101100000
011110101 => 001100000
011110110 => 011100000
011110111 => 111100000
011111000 => 101000000
011111001 => 001000000
011111010 => 011000000
011111011 => 111000000
011111100 => 010000000
011111101 => 110000000
011111110 => 100000000
011111111 => 000000000
100000000 => 101010101
100000001 => 001010101
100000010 => 011010101
100000011 => 111010101
100000100 => 010010101
100000101 => 110010101
100000110 => 100010101
100000111 => 000010101
100001000 => 010110101
100001001 => 110110101
100001010 => 100110101
100001011 => 000110101
100001100 => 101110101
100001101 => 001110101
100001110 => 011110101
100001111 => 111110101
100010000 => 010100101
100010001 => 110100101
100010010 => 100100101
100010011 => 000100101
100010100 => 101100101
100010101 => 001100101
100010110 => 011100101
100010111 => 111100101
100011000 => 101000101
100011001 => 001000101
100011010 => 011000101
100011011 => 111000101
100011100 => 010000101
100011101 => 110000101
100011110 => 100000101
100011111 => 000000101
100100000 => 010101101
100100001 => 110101101
100100010 => 100101101
100100011 => 000101101
100100100 => 101101101
100100101 => 001101101
100100110 => 011101101
100100111 => 111101101
100101000 => 101001101
100101001 => 001001101
100101010 => 011001101
100101011 => 111001101
100101100 => 010001101
100101101 => 110001101
100101110 => 100001101
100101111 => 000001101
100110000 => 101011101
100110001 => 001011101
100110010 => 011011101
100110011 => 111011101
100110100 => 010011101
100110101 => 110011101
100110110 => 100011101
100110111 => 000011101
100111000 => 010111101
100111001 => 110111101
100111010 => 100111101
100111011 => 000111101
100111100 => 101111101
100111101 => 001111101
100111110 => 011111101
100111111 => 111111101
101000000 => 010101001
101000001 => 110101001
101000010 => 100101001
101000011 => 000101001
101000100 => 101101001
101000101 => 001101001
101000110 => 011101001
101000111 => 111101001
101001000 => 101001001
101001001 => 001001001
101001010 => 011001001
101001011 => 111001001
101001100 => 010001001
101001101 => 110001001
101001110 => 100001001
101001111 => 000001001
101010000 => 101011001
101010001 => 001011001
101010010 => 011011001
101010011 => 111011001
101010100 => 010011001
101010101 => 110011001
101010110 => 100011001
101010111 => 000011001
101011000 => 010111001
101011001 => 110111001
101011010 => 100111001
101011011 => 000111001
101011100 => 101111001
101011101 => 001111001
101011110 => 011111001
101011111 => 111111001
101100000 => 101010001
101100001 => 001010001
101100010 => 011010001
101100011 => 111010001
101100100 => 010010001
101100101 => 110010001
101100110 => 100010001
101100111 => 000010001
101101000 => 010110001
101101001 => 110110001
101101010 => 100110001
101101011 => 000110001
101101100 => 101110001
101101101 => 001110001
101101110 => 011110001
101101111 => 111110001
101110000 => 010100001
101110001 => 110100001
101110010 => 100100001
101110011 => 000100001
101110100 => 101100001
101110101 => 001100001
101110110 => 011100001
101110111 => 111100001
101111000 => 101000001
101111001 => 001000001
101111010 => 011000001
101111011 => 111000001
101111100 => 010000001
101111101 => 110000001
101111110 => 100000001
101111111 => 000000001
110000000 => 010101011
110000001 => 110101011
110000010 => 100101011
110000011 => 000101011
110000100 => 101101011
110000101 => 001101011
110000110 => 011101011
110000111 => 111101011
110001000 => 101001011
110001001 => 001001011
110001010 => 011001011
110001011 => 111001011
110001100 => 010001011
110001101 => 110001011
110001110 => 100001011
110001111 => 000001011
110010000 => 101011011
110010001 => 001011011
110010010 => 011011011
110010011 => 111011011
110010100 => 010011011
110010101 => 110011011
110010110 => 100011011
110010111 => 000011011
110011000 => 010111011
110011001 => 110111011
110011010 => 100111011
110011011 => 000111011
110011100 => 101111011
110011101 => 001111011
110011110 => 011111011
110011111 => 111111011
110100000 => 101010011
110100001 => 001010011
110100010 => 011010011
110100011 => 111010011
110100100 => 010010011
110100101 => 110010011
110100110 => 100010011
110100111 => 000010011
110101000 => 010110011
110101001 => 110110011
110101010 => 100110011
110101011 => 000110011
110101100 => 101110011
110101101 => 001110011
110101110 => 011110011
110101111 => 111110011
110110000 => 010100011
110110001 => 110100011
110110010 => 100100011
110110011 => 000100011
110110100 => 101100011
110110101 => 001100011
110110110 => 011100011
110110111 => 111100011
110111000 => 101000011
110111001 => 001000011
110111010 => 011000011
110111011 => 111000011
110111100 => 010000011
110111101 => 110000011
110111110 => 100000011
110111111 => 000000011
111000000 => 101010111
111000001 => 001010111
111000010 => 011010111
111000011 => 111010111
111000100 => 010010111
111000101 => 110010111
111000110 => 100010111
111000111 => 000010111
111001000 => 010110111
111001001 => 110110111
111001010 => 100110111
111001011 => 000110111
111001100 => 101110111
111001101 => 001110111
111001110 => 011110111
111001111 => 111110111
111010000 => 010100111
111010001 => 110100111
111010010 => 100100111
111010011 => 000100111
111010100 => 101100111
111010101 => 001100111
111010110 => 011100111
111010111 => 111100111
111011000 => 101000111
111011001 => 001000111
111011010 => 011000111
111011011 => 111000111
111011100 => 010000111
111011101 => 110000111
111011110 => 100000111
111011111 => 000000111
111100000 => 010101111
111100001 => 110101111
111100010 => 100101111
111100011 => 000101111
111100100 => 101101111
111100101 => 001101111
111100110 => 011101111
111100111 => 111101111
111101000 => 101001111
111101001 => 001001111
111101010 => 011001111
111101011 => 111001111
111101100 => 010001111
111101101 => 110001111
111101110 => 100001111
111101111 => 000001111
111110000 => 101011111
111110001 => 001011111
111110010 => 011011111
111110011 => 111011111
111110100 => 010011111
111110101 => 110011111
111110110 => 100011111
111110111 => 000011111
111111000 => 010111111
111111001 => 110111111
111111010 => 100111111
111111011 => 000111111
111111100 => 101111111
111111101 => 001111111
111111110 => 011111111
111111111 => 111111111
1010101010 => 0110011001
1010101100 => 0100011001
1010110010 => 0110111001
1010110100 => 0100111001
1010111000 => 0101111001
1011001010 => 0110010001
1011001100 => 0100010001
1011010010 => 0110110001
1011010100 => 0100110001
1011011000 => 0101110001
1011100010 => 0110100001
1011100100 => 0100100001
1011101000 => 0101100001
1011110000 => 0101000001
1100101010 => 0110011011
1100101100 => 0100011011
1100110010 => 0110111011
1100110100 => 0100111011
1100111000 => 0101111011
1101001010 => 0110010011
1101001100 => 0100010011
1101010010 => 0110110011
1101010100 => 0100110011
1101011000 => 0101110011
1101100010 => 0110100011
1101100100 => 0100100011
1101101000 => 0101100011
1101110000 => 0101000011
1110001010 => 0110010111
1110001100 => 0100010111
1110010010 => 0110110111
1110010100 => 0100110111
1110011000 => 0101110111
1110100010 => 0110100111
1110100100 => 0100100111
1110101000 => 0101100111
1110110000 => 0101000111
1111000010 => 0110101111
1111000100 => 0100101111
1111001000 => 0101101111
1111010000 => 0101001111
1111100000 => 0101011111
101010101010 => 100110011001
101010101100 => 101110011001
101010110010 => 100100011001
101010110100 => 101100011001
101010111000 => 101000011001
101011001010 => 100110111001
101011001100 => 101110111001
101011010010 => 100100111001
101011010100 => 101100111001
101011011000 => 101000111001
101011100010 => 100101111001
101011100100 => 101101111001
101011101000 => 101001111001
101011110000 => 101011111001
101100101010 => 100110010001
101100101100 => 101110010001
101100110010 => 100100010001
101100110100 => 101100010001
101100111000 => 101000010001
101101001010 => 100110110001
101101001100 => 101110110001
101101010010 => 100100110001
101101010100 => 101100110001
101101011000 => 101000110001
101101100010 => 100101110001
101101100100 => 101101110001
101101101000 => 101001110001
101101110000 => 101011110001
101110001010 => 100110100001
101110001100 => 101110100001
101110010010 => 100100100001
101110010100 => 101100100001
101110011000 => 101000100001
101110100010 => 100101100001
101110100100 => 101101100001
101110101000 => 101001100001
101110110000 => 101011100001
101111000010 => 100101000001
101111000100 => 101101000001
101111001000 => 101001000001
101111010000 => 101011000001
101111100000 => 101010000001
110010101010 => 100110011011
110010101100 => 101110011011
110010110010 => 100100011011
110010110100 => 101100011011
110010111000 => 101000011011
110011001010 => 100110111011
110011001100 => 101110111011
110011010010 => 100100111011
110011010100 => 101100111011
110011011000 => 101000111011
110011100010 => 100101111011
110011100100 => 101101111011
110011101000 => 101001111011
110011110000 => 101011111011
110100101010 => 100110010011
110100101100 => 101110010011
110100110010 => 100100010011
110100110100 => 101100010011
110100111000 => 101000010011
110101001010 => 100110110011
110101001100 => 101110110011
110101010010 => 100100110011
110101010100 => 101100110011
110101011000 => 101000110011
110101100010 => 100101110011
110101100100 => 101101110011
110101101000 => 101001110011
110101110000 => 101011110011
110110001010 => 100110100011
110110001100 => 101110100011
110110010010 => 100100100011
110110010100 => 101100100011
110110011000 => 101000100011
110110100010 => 100101100011
110110100100 => 101101100011
110110101000 => 101001100011
110110110000 => 101011100011
110111000010 => 100101000011
110111000100 => 101101000011
110111001000 => 101001000011
110111010000 => 101011000011
110111100000 => 101010000011
111000101010 => 100110010111
111000101100 => 101110010111
111000110010 => 100100010111
111000110100 => 101100010111
111000111000 => 101000010111
111001001010 => 100110110111
111001001100 => 101110110111
111001010010 => 100100110111
111001010100 => 101100110111
111001011000 => 101000110111
111001100010 => 100101110111
111001100100 => 101101110111
111001101000 => 101001110111
111001110000 => 101011110111
111010001010 => 100110100111
111010001100 => 101110100111
111010010010 => 100100100111
111010010100 => 101100100111
111010011000 => 101000100111
111010100010 => 100101100111
111010100100 => 101101100111
111010101000 => 101001100111
111010110000 => 101011100111
111011000010 => 100101000111
111011000100 => 101101000111
111011001000 => 101001000111
111011010000 => 101011000111
111011100000 => 101010000111
111100001010 => 100110101111
111100001100 => 101110101111
111100010010 => 100100101111
111100010100 => 101100101111
111100011000 => 101000101111
111100100010 => 100101101111
111100100100 => 101101101111
111100101000 => 101001101111
111100110000 => 101011101111
111101000010 => 100101001111
111101000100 => 101101001111
111101001000 => 101001001111
111101010000 => 101011001111
111101100000 => 101010001111
111110000010 => 100101011111
111110000100 => 101101011111
111110001000 => 101001011111
111110010000 => 101011011111
111110100000 => 101010011111
111111000000 => 101010111111
10101010101010 => 01100110011001
10101010101100 => 01000110011001
10101010110100 => 01001110011001
10101010111000 => 01011110011001
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Created: Dec 01, 2022 at 22:36 by Martin Rubey
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Last Updated: Dec 01, 2022 at 22:36 by Martin Rubey