************************************************************************
* 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: Mp00280
------------------------------------------------------------------------
Map name: path rowmotion
------------------------------------------------------------------------
Domain: Binary words
------------------------------------------------------------------------
Codomain: Binary words
------------------------------------------------------------------------
Description: Return the rowmotion of the binary word, regarded as a lattice path.
Consider the binary word of length $n$ as a lattice path with $n$ steps, where a 1 corresponds to an up step and a 0 corresponds to a down step.
This map returns the path whose peaks are the valleys of the original path with an up step appended.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(w):
n = len(w)
w1 = []
a = 0
i = 0
while i < n:
if w[i]:
a += 1
i += 1
elif i+1 == n:
w1.extend([1]*(a+1))
i += 2
a = 0
elif w[i+1]:
w1.extend([1]*(a+1) + [0])
i += 2
a = 0
else:
w1.append(0)
i += 1
w1.extend([0]*a)
return Word(w1)
------------------------------------------------------------------------
Map images:
0 => 1
1 => 0
00 => 01
01 => 10
10 => 11
11 => 00
000 => 001
001 => 010
010 => 101
011 => 100
100 => 011
101 => 110
110 => 111
111 => 000
0000 => 0001
0001 => 0010
0010 => 0101
0011 => 0100
0100 => 1001
0101 => 1010
0110 => 1011
0111 => 1000
1000 => 0011
1001 => 0110
1010 => 1101
1011 => 1100
1100 => 0111
1101 => 1110
1110 => 1111
1111 => 0000
00000 => 00001
00001 => 00010
00010 => 00101
00011 => 00100
00100 => 01001
00101 => 01010
00110 => 01011
00111 => 01000
01000 => 10001
01001 => 10010
01010 => 10101
01011 => 10100
01100 => 10011
01101 => 10110
01110 => 10111
01111 => 10000
10000 => 00011
10001 => 00110
10010 => 01101
10011 => 01100
10100 => 11001
10101 => 11010
10110 => 11011
10111 => 11000
11000 => 00111
11001 => 01110
11010 => 11101
11011 => 11100
11100 => 01111
11101 => 11110
11110 => 11111
11111 => 00000
000000 => 000001
000001 => 000010
000010 => 000101
000011 => 000100
000100 => 001001
000101 => 001010
000110 => 001011
000111 => 001000
001000 => 010001
001001 => 010010
001010 => 010101
001011 => 010100
001100 => 010011
001101 => 010110
001110 => 010111
001111 => 010000
010000 => 100001
010001 => 100010
010010 => 100101
010011 => 100100
010100 => 101001
010101 => 101010
010110 => 101011
010111 => 101000
011000 => 100011
011001 => 100110
011010 => 101101
011011 => 101100
011100 => 100111
011101 => 101110
011110 => 101111
011111 => 100000
100000 => 000011
100001 => 000110
100010 => 001101
100011 => 001100
100100 => 011001
100101 => 011010
100110 => 011011
100111 => 011000
101000 => 110001
101001 => 110010
101010 => 110101
101011 => 110100
101100 => 110011
101101 => 110110
101110 => 110111
101111 => 110000
110000 => 000111
110001 => 001110
110010 => 011101
110011 => 011100
110100 => 111001
110101 => 111010
110110 => 111011
110111 => 111000
111000 => 001111
111001 => 011110
111010 => 111101
111011 => 111100
111100 => 011111
111101 => 111110
111110 => 111111
111111 => 000000
0000000 => 0000001
0000001 => 0000010
0000010 => 0000101
0000011 => 0000100
0000100 => 0001001
0000101 => 0001010
0000110 => 0001011
0000111 => 0001000
0001000 => 0010001
0001001 => 0010010
0001010 => 0010101
0001011 => 0010100
0001100 => 0010011
0001101 => 0010110
0001110 => 0010111
0001111 => 0010000
0010000 => 0100001
0010001 => 0100010
0010010 => 0100101
0010011 => 0100100
0010100 => 0101001
0010101 => 0101010
0010110 => 0101011
0010111 => 0101000
0011000 => 0100011
0011001 => 0100110
0011010 => 0101101
0011011 => 0101100
0011100 => 0100111
0011101 => 0101110
0011110 => 0101111
0011111 => 0100000
0100000 => 1000001
0100001 => 1000010
0100010 => 1000101
0100011 => 1000100
0100100 => 1001001
0100101 => 1001010
0100110 => 1001011
0100111 => 1001000
0101000 => 1010001
0101001 => 1010010
0101010 => 1010101
0101011 => 1010100
0101100 => 1010011
0101101 => 1010110
0101110 => 1010111
0101111 => 1010000
0110000 => 1000011
0110001 => 1000110
0110010 => 1001101
0110011 => 1001100
0110100 => 1011001
0110101 => 1011010
0110110 => 1011011
0110111 => 1011000
0111000 => 1000111
0111001 => 1001110
0111010 => 1011101
0111011 => 1011100
0111100 => 1001111
0111101 => 1011110
0111110 => 1011111
0111111 => 1000000
1000000 => 0000011
1000001 => 0000110
1000010 => 0001101
1000011 => 0001100
1000100 => 0011001
1000101 => 0011010
1000110 => 0011011
1000111 => 0011000
1001000 => 0110001
1001001 => 0110010
1001010 => 0110101
1001011 => 0110100
1001100 => 0110011
1001101 => 0110110
1001110 => 0110111
1001111 => 0110000
1010000 => 1100001
1010001 => 1100010
1010010 => 1100101
1010011 => 1100100
1010100 => 1101001
1010101 => 1101010
1010110 => 1101011
1010111 => 1101000
1011000 => 1100011
1011001 => 1100110
1011010 => 1101101
1011011 => 1101100
1011100 => 1100111
1011101 => 1101110
1011110 => 1101111
1011111 => 1100000
1100000 => 0000111
1100001 => 0001110
1100010 => 0011101
1100011 => 0011100
1100100 => 0111001
1100101 => 0111010
1100110 => 0111011
1100111 => 0111000
1101000 => 1110001
1101001 => 1110010
1101010 => 1110101
1101011 => 1110100
1101100 => 1110011
1101101 => 1110110
1101110 => 1110111
1101111 => 1110000
1110000 => 0001111
1110001 => 0011110
1110010 => 0111101
1110011 => 0111100
1110100 => 1111001
1110101 => 1111010
1110110 => 1111011
1110111 => 1111000
1111000 => 0011111
1111001 => 0111110
1111010 => 1111101
1111011 => 1111100
1111100 => 0111111
1111101 => 1111110
1111110 => 1111111
1111111 => 0000000
00000000 => 00000001
00000001 => 00000010
00000010 => 00000101
00000011 => 00000100
00000100 => 00001001
00000101 => 00001010
00000110 => 00001011
00000111 => 00001000
00001000 => 00010001
00001001 => 00010010
00001010 => 00010101
00001011 => 00010100
00001100 => 00010011
00001101 => 00010110
00001110 => 00010111
00001111 => 00010000
00010000 => 00100001
00010001 => 00100010
00010010 => 00100101
00010011 => 00100100
00010100 => 00101001
00010101 => 00101010
00010110 => 00101011
00010111 => 00101000
00011000 => 00100011
00011001 => 00100110
00011010 => 00101101
00011011 => 00101100
00011100 => 00100111
00011101 => 00101110
00011110 => 00101111
00011111 => 00100000
00100000 => 01000001
00100001 => 01000010
00100010 => 01000101
00100011 => 01000100
00100100 => 01001001
00100101 => 01001010
00100110 => 01001011
00100111 => 01001000
00101000 => 01010001
00101001 => 01010010
00101010 => 01010101
00101011 => 01010100
00101100 => 01010011
00101101 => 01010110
00101110 => 01010111
00101111 => 01010000
00110000 => 01000011
00110001 => 01000110
00110010 => 01001101
00110011 => 01001100
00110100 => 01011001
00110101 => 01011010
00110110 => 01011011
00110111 => 01011000
00111000 => 01000111
00111001 => 01001110
00111010 => 01011101
00111011 => 01011100
00111100 => 01001111
00111101 => 01011110
00111110 => 01011111
00111111 => 01000000
01000000 => 10000001
01000001 => 10000010
01000010 => 10000101
01000011 => 10000100
01000100 => 10001001
01000101 => 10001010
01000110 => 10001011
01000111 => 10001000
01001000 => 10010001
01001001 => 10010010
01001010 => 10010101
01001011 => 10010100
01001100 => 10010011
01001101 => 10010110
01001110 => 10010111
01001111 => 10010000
01010000 => 10100001
01010001 => 10100010
01010010 => 10100101
01010011 => 10100100
01010100 => 10101001
01010101 => 10101010
01010110 => 10101011
01010111 => 10101000
01011000 => 10100011
01011001 => 10100110
01011010 => 10101101
01011011 => 10101100
01011100 => 10100111
01011101 => 10101110
01011110 => 10101111
01011111 => 10100000
01100000 => 10000011
01100001 => 10000110
01100010 => 10001101
01100011 => 10001100
01100100 => 10011001
01100101 => 10011010
01100110 => 10011011
01100111 => 10011000
01101000 => 10110001
01101001 => 10110010
01101010 => 10110101
01101011 => 10110100
01101100 => 10110011
01101101 => 10110110
01101110 => 10110111
01101111 => 10110000
01110000 => 10000111
01110001 => 10001110
01110010 => 10011101
01110011 => 10011100
01110100 => 10111001
01110101 => 10111010
01110110 => 10111011
01110111 => 10111000
01111000 => 10001111
01111001 => 10011110
01111010 => 10111101
01111011 => 10111100
01111100 => 10011111
01111101 => 10111110
01111110 => 10111111
01111111 => 10000000
10000000 => 00000011
10000001 => 00000110
10000010 => 00001101
10000011 => 00001100
10000100 => 00011001
10000101 => 00011010
10000110 => 00011011
10000111 => 00011000
10001000 => 00110001
10001001 => 00110010
10001010 => 00110101
10001011 => 00110100
10001100 => 00110011
10001101 => 00110110
10001110 => 00110111
10001111 => 00110000
10010000 => 01100001
10010001 => 01100010
10010010 => 01100101
10010011 => 01100100
10010100 => 01101001
10010101 => 01101010
10010110 => 01101011
10010111 => 01101000
10011000 => 01100011
10011001 => 01100110
10011010 => 01101101
10011011 => 01101100
10011100 => 01100111
10011101 => 01101110
10011110 => 01101111
10011111 => 01100000
10100000 => 11000001
10100001 => 11000010
10100010 => 11000101
10100011 => 11000100
10100100 => 11001001
10100101 => 11001010
10100110 => 11001011
10100111 => 11001000
10101000 => 11010001
10101001 => 11010010
10101010 => 11010101
10101011 => 11010100
10101100 => 11010011
10101101 => 11010110
10101110 => 11010111
10101111 => 11010000
10110000 => 11000011
10110001 => 11000110
10110010 => 11001101
10110011 => 11001100
10110100 => 11011001
10110101 => 11011010
10110110 => 11011011
10110111 => 11011000
10111000 => 11000111
10111001 => 11001110
10111010 => 11011101
10111011 => 11011100
10111100 => 11001111
10111101 => 11011110
10111110 => 11011111
10111111 => 11000000
11000000 => 00000111
11000001 => 00001110
11000010 => 00011101
11000011 => 00011100
11000100 => 00111001
11000101 => 00111010
11000110 => 00111011
11000111 => 00111000
11001000 => 01110001
11001001 => 01110010
11001010 => 01110101
11001011 => 01110100
11001100 => 01110011
11001101 => 01110110
11001110 => 01110111
11001111 => 01110000
11010000 => 11100001
11010001 => 11100010
11010010 => 11100101
11010011 => 11100100
11010100 => 11101001
11010101 => 11101010
11010110 => 11101011
11010111 => 11101000
11011000 => 11100011
11011001 => 11100110
11011010 => 11101101
11011011 => 11101100
11011100 => 11100111
11011101 => 11101110
11011110 => 11101111
11011111 => 11100000
11100000 => 00001111
11100001 => 00011110
11100010 => 00111101
11100011 => 00111100
11100100 => 01111001
11100101 => 01111010
11100110 => 01111011
11100111 => 01111000
11101000 => 11110001
11101001 => 11110010
11101010 => 11110101
11101011 => 11110100
11101100 => 11110011
11101101 => 11110110
11101110 => 11110111
11101111 => 11110000
11110000 => 00011111
11110001 => 00111110
11110010 => 01111101
11110011 => 01111100
11110100 => 11111001
11110101 => 11111010
11110110 => 11111011
11110111 => 11111000
11111000 => 00111111
11111001 => 01111110
11111010 => 11111101
11111011 => 11111100
11111100 => 01111111
11111101 => 11111110
11111110 => 11111111
11111111 => 00000000
000000000 => 000000001
000000001 => 000000010
000000010 => 000000101
000000011 => 000000100
000000100 => 000001001
000000101 => 000001010
000000110 => 000001011
000000111 => 000001000
000001000 => 000010001
000001001 => 000010010
000001010 => 000010101
000001011 => 000010100
000001100 => 000010011
000001101 => 000010110
000001110 => 000010111
000001111 => 000010000
000010000 => 000100001
000010001 => 000100010
000010010 => 000100101
000010011 => 000100100
000010100 => 000101001
000010101 => 000101010
000010110 => 000101011
000010111 => 000101000
000011000 => 000100011
000011001 => 000100110
000011010 => 000101101
000011011 => 000101100
000011100 => 000100111
000011101 => 000101110
000011110 => 000101111
000011111 => 000100000
000100000 => 001000001
000100001 => 001000010
000100010 => 001000101
000100011 => 001000100
000100100 => 001001001
000100101 => 001001010
000100110 => 001001011
000100111 => 001001000
000101000 => 001010001
000101001 => 001010010
000101010 => 001010101
000101011 => 001010100
000101100 => 001010011
000101101 => 001010110
000101110 => 001010111
000101111 => 001010000
000110000 => 001000011
000110001 => 001000110
000110010 => 001001101
000110011 => 001001100
000110100 => 001011001
000110101 => 001011010
000110110 => 001011011
000110111 => 001011000
000111000 => 001000111
000111001 => 001001110
000111010 => 001011101
000111011 => 001011100
000111100 => 001001111
000111101 => 001011110
000111110 => 001011111
000111111 => 001000000
001000000 => 010000001
001000001 => 010000010
001000010 => 010000101
001000011 => 010000100
001000100 => 010001001
001000101 => 010001010
001000110 => 010001011
001000111 => 010001000
001001000 => 010010001
001001001 => 010010010
001001010 => 010010101
001001011 => 010010100
001001100 => 010010011
001001101 => 010010110
001001110 => 010010111
001001111 => 010010000
001010000 => 010100001
001010001 => 010100010
001010010 => 010100101
001010011 => 010100100
001010100 => 010101001
001010101 => 010101010
001010110 => 010101011
001010111 => 010101000
001011000 => 010100011
001011001 => 010100110
001011010 => 010101101
001011011 => 010101100
001011100 => 010100111
001011101 => 010101110
001011110 => 010101111
001011111 => 010100000
001100000 => 010000011
001100001 => 010000110
001100010 => 010001101
001100011 => 010001100
001100100 => 010011001
001100101 => 010011010
001100110 => 010011011
001100111 => 010011000
001101000 => 010110001
001101001 => 010110010
001101010 => 010110101
001101011 => 010110100
001101100 => 010110011
001101101 => 010110110
001101110 => 010110111
001101111 => 010110000
001110000 => 010000111
001110001 => 010001110
001110010 => 010011101
001110011 => 010011100
001110100 => 010111001
001110101 => 010111010
001110110 => 010111011
001110111 => 010111000
001111000 => 010001111
001111001 => 010011110
001111010 => 010111101
001111011 => 010111100
001111100 => 010011111
001111101 => 010111110
001111110 => 010111111
001111111 => 010000000
010000000 => 100000001
010000001 => 100000010
010000010 => 100000101
010000011 => 100000100
010000100 => 100001001
010000101 => 100001010
010000110 => 100001011
010000111 => 100001000
010001000 => 100010001
010001001 => 100010010
010001010 => 100010101
010001011 => 100010100
010001100 => 100010011
010001101 => 100010110
010001110 => 100010111
010001111 => 100010000
010010000 => 100100001
010010001 => 100100010
010010010 => 100100101
010010011 => 100100100
010010100 => 100101001
010010101 => 100101010
010010110 => 100101011
010010111 => 100101000
010011000 => 100100011
010011001 => 100100110
010011010 => 100101101
010011011 => 100101100
010011100 => 100100111
010011101 => 100101110
010011110 => 100101111
010011111 => 100100000
010100000 => 101000001
010100001 => 101000010
010100010 => 101000101
010100011 => 101000100
010100100 => 101001001
010100101 => 101001010
010100110 => 101001011
010100111 => 101001000
010101000 => 101010001
010101001 => 101010010
010101010 => 101010101
010101011 => 101010100
010101100 => 101010011
010101101 => 101010110
010101110 => 101010111
010101111 => 101010000
010110000 => 101000011
010110001 => 101000110
010110010 => 101001101
010110011 => 101001100
010110100 => 101011001
010110101 => 101011010
010110110 => 101011011
010110111 => 101011000
010111000 => 101000111
010111001 => 101001110
010111010 => 101011101
010111011 => 101011100
010111100 => 101001111
010111101 => 101011110
010111110 => 101011111
010111111 => 101000000
011000000 => 100000011
011000001 => 100000110
011000010 => 100001101
011000011 => 100001100
011000100 => 100011001
011000101 => 100011010
011000110 => 100011011
011000111 => 100011000
011001000 => 100110001
011001001 => 100110010
011001010 => 100110101
011001011 => 100110100
011001100 => 100110011
011001101 => 100110110
011001110 => 100110111
011001111 => 100110000
011010000 => 101100001
011010001 => 101100010
011010010 => 101100101
011010011 => 101100100
011010100 => 101101001
011010101 => 101101010
011010110 => 101101011
011010111 => 101101000
011011000 => 101100011
011011001 => 101100110
011011010 => 101101101
011011011 => 101101100
011011100 => 101100111
011011101 => 101101110
011011110 => 101101111
011011111 => 101100000
011100000 => 100000111
011100001 => 100001110
011100010 => 100011101
011100011 => 100011100
011100100 => 100111001
011100101 => 100111010
011100110 => 100111011
011100111 => 100111000
011101000 => 101110001
011101001 => 101110010
011101010 => 101110101
011101011 => 101110100
011101100 => 101110011
011101101 => 101110110
011101110 => 101110111
011101111 => 101110000
011110000 => 100001111
011110001 => 100011110
011110010 => 100111101
011110011 => 100111100
011110100 => 101111001
011110101 => 101111010
011110110 => 101111011
011110111 => 101111000
011111000 => 100011111
011111001 => 100111110
011111010 => 101111101
011111011 => 101111100
011111100 => 100111111
011111101 => 101111110
011111110 => 101111111
011111111 => 100000000
100000000 => 000000011
100000001 => 000000110
100000010 => 000001101
100000011 => 000001100
100000100 => 000011001
100000101 => 000011010
100000110 => 000011011
100000111 => 000011000
100001000 => 000110001
100001001 => 000110010
100001010 => 000110101
100001011 => 000110100
100001100 => 000110011
100001101 => 000110110
100001110 => 000110111
100001111 => 000110000
100010000 => 001100001
100010001 => 001100010
100010010 => 001100101
100010011 => 001100100
100010100 => 001101001
100010101 => 001101010
100010110 => 001101011
100010111 => 001101000
100011000 => 001100011
100011001 => 001100110
100011010 => 001101101
100011011 => 001101100
100011100 => 001100111
100011101 => 001101110
100011110 => 001101111
100011111 => 001100000
100100000 => 011000001
100100001 => 011000010
100100010 => 011000101
100100011 => 011000100
100100100 => 011001001
100100101 => 011001010
100100110 => 011001011
100100111 => 011001000
100101000 => 011010001
100101001 => 011010010
100101010 => 011010101
100101011 => 011010100
100101100 => 011010011
100101101 => 011010110
100101110 => 011010111
100101111 => 011010000
100110000 => 011000011
100110001 => 011000110
100110010 => 011001101
100110011 => 011001100
100110100 => 011011001
100110101 => 011011010
100110110 => 011011011
100110111 => 011011000
100111000 => 011000111
100111001 => 011001110
100111010 => 011011101
100111011 => 011011100
100111100 => 011001111
100111101 => 011011110
100111110 => 011011111
100111111 => 011000000
101000000 => 110000001
101000001 => 110000010
101000010 => 110000101
101000011 => 110000100
101000100 => 110001001
101000101 => 110001010
101000110 => 110001011
101000111 => 110001000
101001000 => 110010001
101001001 => 110010010
101001010 => 110010101
101001011 => 110010100
101001100 => 110010011
101001101 => 110010110
101001110 => 110010111
101001111 => 110010000
101010000 => 110100001
101010001 => 110100010
101010010 => 110100101
101010011 => 110100100
101010100 => 110101001
101010101 => 110101010
101010110 => 110101011
101010111 => 110101000
101011000 => 110100011
101011001 => 110100110
101011010 => 110101101
101011011 => 110101100
101011100 => 110100111
101011101 => 110101110
101011110 => 110101111
101011111 => 110100000
101100000 => 110000011
101100001 => 110000110
101100010 => 110001101
101100011 => 110001100
101100100 => 110011001
101100101 => 110011010
101100110 => 110011011
101100111 => 110011000
101101000 => 110110001
101101001 => 110110010
101101010 => 110110101
101101011 => 110110100
101101100 => 110110011
101101101 => 110110110
101101110 => 110110111
101101111 => 110110000
101110000 => 110000111
101110001 => 110001110
101110010 => 110011101
101110011 => 110011100
101110100 => 110111001
101110101 => 110111010
101110110 => 110111011
101110111 => 110111000
101111000 => 110001111
101111001 => 110011110
101111010 => 110111101
101111011 => 110111100
101111100 => 110011111
101111101 => 110111110
101111110 => 110111111
101111111 => 110000000
110000000 => 000000111
110000001 => 000001110
110000010 => 000011101
110000011 => 000011100
110000100 => 000111001
110000101 => 000111010
110000110 => 000111011
110000111 => 000111000
110001000 => 001110001
110001001 => 001110010
110001010 => 001110101
110001011 => 001110100
110001100 => 001110011
110001101 => 001110110
110001110 => 001110111
110001111 => 001110000
110010000 => 011100001
110010001 => 011100010
110010010 => 011100101
110010011 => 011100100
110010100 => 011101001
110010101 => 011101010
110010110 => 011101011
110010111 => 011101000
110011000 => 011100011
110011001 => 011100110
110011010 => 011101101
110011011 => 011101100
110011100 => 011100111
110011101 => 011101110
110011110 => 011101111
110011111 => 011100000
110100000 => 111000001
110100001 => 111000010
110100010 => 111000101
110100011 => 111000100
110100100 => 111001001
110100101 => 111001010
110100110 => 111001011
110100111 => 111001000
110101000 => 111010001
110101001 => 111010010
110101010 => 111010101
110101011 => 111010100
110101100 => 111010011
110101101 => 111010110
110101110 => 111010111
110101111 => 111010000
110110000 => 111000011
110110001 => 111000110
110110010 => 111001101
110110011 => 111001100
110110100 => 111011001
110110101 => 111011010
110110110 => 111011011
110110111 => 111011000
110111000 => 111000111
110111001 => 111001110
110111010 => 111011101
110111011 => 111011100
110111100 => 111001111
110111101 => 111011110
110111110 => 111011111
110111111 => 111000000
111000000 => 000001111
111000001 => 000011110
111000010 => 000111101
111000011 => 000111100
111000100 => 001111001
111000101 => 001111010
111000110 => 001111011
111000111 => 001111000
111001000 => 011110001
111001001 => 011110010
111001010 => 011110101
111001011 => 011110100
111001100 => 011110011
111001101 => 011110110
111001110 => 011110111
111001111 => 011110000
111010000 => 111100001
111010001 => 111100010
111010010 => 111100101
111010011 => 111100100
111010100 => 111101001
111010101 => 111101010
111010110 => 111101011
111010111 => 111101000
111011000 => 111100011
111011001 => 111100110
111011010 => 111101101
111011011 => 111101100
111011100 => 111100111
111011101 => 111101110
111011110 => 111101111
111011111 => 111100000
111100000 => 000011111
111100001 => 000111110
111100010 => 001111101
111100011 => 001111100
111100100 => 011111001
111100101 => 011111010
111100110 => 011111011
111100111 => 011111000
111101000 => 111110001
111101001 => 111110010
111101010 => 111110101
111101011 => 111110100
111101100 => 111110011
111101101 => 111110110
111101110 => 111110111
111101111 => 111110000
111110000 => 000111111
111110001 => 001111110
111110010 => 011111101
111110011 => 011111100
111110100 => 111111001
111110101 => 111111010
111110110 => 111111011
111110111 => 111111000
111111000 => 001111111
111111001 => 011111110
111111010 => 111111101
111111011 => 111111100
111111100 => 011111111
111111101 => 111111110
111111110 => 111111111
111111111 => 000000000
1010101010 => 1101010101
1010101100 => 1101010011
1010110010 => 1101001101
1010110100 => 1101011001
1010111000 => 1101000111
1011001010 => 1100110101
1011001100 => 1100110011
1011010010 => 1101100101
1011010100 => 1101101001
1011011000 => 1101100011
1011100010 => 1100011101
1011100100 => 1100111001
1011101000 => 1101110001
1011110000 => 1100001111
1100101010 => 0111010101
1100101100 => 0111010011
1100110010 => 0111001101
1100110100 => 0111011001
1100111000 => 0111000111
1101001010 => 1110010101
1101001100 => 1110010011
1101010010 => 1110100101
1101010100 => 1110101001
1101011000 => 1110100011
1101100010 => 1110001101
1101100100 => 1110011001
1101101000 => 1110110001
1101110000 => 1110000111
1110001010 => 0011110101
1110001100 => 0011110011
1110010010 => 0111100101
1110010100 => 0111101001
1110011000 => 0111100011
1110100010 => 1111000101
1110100100 => 1111001001
1110101000 => 1111010001
1110110000 => 1111000011
1111000010 => 0001111101
1111000100 => 0011111001
1111001000 => 0111110001
1111010000 => 1111100001
1111100000 => 0000111111
101010101010 => 110101010101
101010101100 => 110101010011
101010110010 => 110101001101
101010110100 => 110101011001
101010111000 => 110101000111
101011001010 => 110100110101
101011001100 => 110100110011
101011010010 => 110101100101
101011010100 => 110101101001
101011011000 => 110101100011
101011100010 => 110100011101
101011100100 => 110100111001
101011101000 => 110101110001
101011110000 => 110100001111
101100101010 => 110011010101
101100101100 => 110011010011
101100110010 => 110011001101
101100110100 => 110011011001
101100111000 => 110011000111
101101001010 => 110110010101
101101001100 => 110110010011
101101010010 => 110110100101
101101010100 => 110110101001
101101011000 => 110110100011
101101100010 => 110110001101
101101100100 => 110110011001
101101101000 => 110110110001
101101110000 => 110110000111
101110001010 => 110001110101
101110001100 => 110001110011
101110010010 => 110011100101
101110010100 => 110011101001
101110011000 => 110011100011
101110100010 => 110111000101
101110100100 => 110111001001
101110101000 => 110111010001
101110110000 => 110111000011
101111000010 => 110000111101
101111000100 => 110001111001
101111001000 => 110011110001
101111010000 => 110111100001
101111100000 => 110000011111
110010101010 => 011101010101
110010101100 => 011101010011
110010110010 => 011101001101
110010110100 => 011101011001
110010111000 => 011101000111
110011001010 => 011100110101
110011001100 => 011100110011
110011010010 => 011101100101
110011010100 => 011101101001
110011011000 => 011101100011
110011100010 => 011100011101
110011100100 => 011100111001
110011101000 => 011101110001
110011110000 => 011100001111
110100101010 => 111001010101
110100101100 => 111001010011
110100110010 => 111001001101
110100110100 => 111001011001
110100111000 => 111001000111
110101001010 => 111010010101
110101001100 => 111010010011
110101010010 => 111010100101
110101010100 => 111010101001
110101011000 => 111010100011
110101100010 => 111010001101
110101100100 => 111010011001
110101101000 => 111010110001
110101110000 => 111010000111
110110001010 => 111000110101
110110001100 => 111000110011
110110010010 => 111001100101
110110010100 => 111001101001
110110011000 => 111001100011
110110100010 => 111011000101
110110100100 => 111011001001
110110101000 => 111011010001
110110110000 => 111011000011
110111000010 => 111000011101
110111000100 => 111000111001
110111001000 => 111001110001
110111010000 => 111011100001
110111100000 => 111000001111
111000101010 => 001111010101
111000101100 => 001111010011
111000110010 => 001111001101
111000110100 => 001111011001
111000111000 => 001111000111
111001001010 => 011110010101
111001001100 => 011110010011
111001010010 => 011110100101
111001010100 => 011110101001
111001011000 => 011110100011
111001100010 => 011110001101
111001100100 => 011110011001
111001101000 => 011110110001
111001110000 => 011110000111
111010001010 => 111100010101
111010001100 => 111100010011
111010010010 => 111100100101
111010010100 => 111100101001
111010011000 => 111100100011
111010100010 => 111101000101
111010100100 => 111101001001
111010101000 => 111101010001
111010110000 => 111101000011
111011000010 => 111100001101
111011000100 => 111100011001
111011001000 => 111100110001
111011010000 => 111101100001
111011100000 => 111100000111
111100001010 => 000111110101
111100001100 => 000111110011
111100010010 => 001111100101
111100010100 => 001111101001
111100011000 => 001111100011
111100100010 => 011111000101
111100100100 => 011111001001
111100101000 => 011111010001
111100110000 => 011111000011
111101000010 => 111110000101
111101000100 => 111110001001
111101001000 => 111110010001
111101010000 => 111110100001
111101100000 => 111110000011
111110000010 => 000011111101
111110000100 => 000111111001
111110001000 => 001111110001
111110010000 => 011111100001
111110100000 => 111111000001
111111000000 => 000001111111
10101010101010 => 11010101010101
10101010101100 => 11010101010011
10101010110100 => 11010101011001
10101010111000 => 11010101000111
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Created: Jan 16, 2023 at 17:43 by Martin Rubey
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Last Updated: Jan 16, 2023 at 17:43 by Martin Rubey