************************************************************************
* 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: 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
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Created: Dec 02, 2022 at 00:03 by Martin Rubey
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Last Updated: Dec 02, 2022 at 00:03 by Martin Rubey