************************************************************************
* 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: Mp00316
------------------------------------------------------------------------
Map name: inverse Foata bijection
------------------------------------------------------------------------
Domain: Binary words
------------------------------------------------------------------------
Codomain: Binary words
------------------------------------------------------------------------
Description: The inverse of Foata's bijection.
See [[Mp00096]].
------------------------------------------------------------------------
References: [1] Foata, D., Schützenberger, M.-P. Major index and inversion number of permutations [[MathSciNet:0506852]]
------------------------------------------------------------------------
Code:
def mapping(self):
"""
sage: all(mapping(pi.foata_bijection()) == pi for n in range(9) for pi in Words([0,1], n))
True
"""
self = Words([0,1])(self)
s = self.standard_permutation()
ordered_alphabet = sorted(self.letters(),
key=self.parent().sortkey_letters)
eval_dict = self.evaluation_dict()
weight = [eval_dict[a] for a in ordered_alphabet]
return Words([0,1])((s.foata_bijection_inverse()).destandardize(weight, ordered_alphabet=ordered_alphabet))
------------------------------------------------------------------------
Map images:
0 => 0
1 => 1
00 => 00
01 => 01
10 => 10
11 => 11
000 => 000
001 => 001
010 => 100
011 => 011
100 => 010
101 => 101
110 => 110
111 => 111
0000 => 0000
0001 => 0001
0010 => 1000
0011 => 0011
0100 => 0100
0101 => 1001
0110 => 1100
0111 => 0111
1000 => 0010
1001 => 0101
1010 => 0110
1011 => 1011
1100 => 1010
1101 => 1101
1110 => 1110
1111 => 1111
00000 => 00000
00001 => 00001
00010 => 10000
00011 => 00011
00100 => 01000
00101 => 10001
00110 => 11000
00111 => 00111
01000 => 00100
01001 => 01001
01010 => 01100
01011 => 10011
01100 => 10100
01101 => 11001
01110 => 11100
01111 => 01111
10000 => 00010
10001 => 00101
10010 => 00110
10011 => 01011
10100 => 10010
10101 => 01101
10110 => 01110
10111 => 10111
11000 => 01010
11001 => 10101
11010 => 10110
11011 => 11011
11100 => 11010
11101 => 11101
11110 => 11110
11111 => 11111
000000 => 000000
000001 => 000001
000010 => 100000
000011 => 000011
000100 => 010000
000101 => 100001
000110 => 110000
000111 => 000111
001000 => 001000
001001 => 010001
001010 => 011000
001011 => 100011
001100 => 101000
001101 => 110001
001110 => 111000
001111 => 001111
010000 => 000100
010001 => 001001
010010 => 001100
010011 => 010011
010100 => 100100
010101 => 011001
010110 => 011100
010111 => 100111
011000 => 010100
011001 => 101001
011010 => 101100
011011 => 110011
011100 => 110100
011101 => 111001
011110 => 111100
011111 => 011111
100000 => 000010
100001 => 000101
100010 => 000110
100011 => 001011
100100 => 100010
100101 => 001101
100110 => 001110
100111 => 010111
101000 => 010010
101001 => 100101
101010 => 100110
101011 => 011011
101100 => 110010
101101 => 011101
101110 => 011110
101111 => 101111
110000 => 001010
110001 => 010101
110010 => 010110
110011 => 101011
110100 => 011010
110101 => 101101
110110 => 101110
110111 => 110111
111000 => 101010
111001 => 110101
111010 => 110110
111011 => 111011
111100 => 111010
111101 => 111101
111110 => 111110
111111 => 111111
0000000 => 0000000
0000001 => 0000001
0000010 => 1000000
0000011 => 0000011
0000100 => 0100000
0000101 => 1000001
0000110 => 1100000
0000111 => 0000111
0001000 => 0010000
0001001 => 0100001
0001010 => 0110000
0001011 => 1000011
0001100 => 1010000
0001101 => 1100001
0001110 => 1110000
0001111 => 0001111
0010000 => 0001000
0010001 => 0010001
0010010 => 0011000
0010011 => 0100011
0010100 => 1001000
0010101 => 0110001
0010110 => 0111000
0010111 => 1000111
0011000 => 0101000
0011001 => 1010001
0011010 => 1011000
0011011 => 1100011
0011100 => 1101000
0011101 => 1110001
0011110 => 1111000
0011111 => 0011111
0100000 => 0000100
0100001 => 0001001
0100010 => 0001100
0100011 => 0010011
0100100 => 1000100
0100101 => 0011001
0100110 => 0011100
0100111 => 0100111
0101000 => 0100100
0101001 => 1001001
0101010 => 1001100
0101011 => 0110011
0101100 => 1100100
0101101 => 0111001
0101110 => 0111100
0101111 => 1001111
0110000 => 0010100
0110001 => 0101001
0110010 => 0101100
0110011 => 1010011
0110100 => 0110100
0110101 => 1011001
0110110 => 1011100
0110111 => 1100111
0111000 => 1010100
0111001 => 1101001
0111010 => 1101100
0111011 => 1110011
0111100 => 1110100
0111101 => 1111001
0111110 => 1111100
0111111 => 0111111
1000000 => 0000010
1000001 => 0000101
1000010 => 0000110
1000011 => 0001011
1000100 => 1000010
1000101 => 0001101
1000110 => 0001110
1000111 => 0010111
1001000 => 0100010
1001001 => 1000101
1001010 => 1000110
1001011 => 0011011
1001100 => 1100010
1001101 => 0011101
1001110 => 0011110
1001111 => 0101111
1010000 => 0010010
1010001 => 0100101
1010010 => 0100110
1010011 => 1001011
1010100 => 0110010
1010101 => 1001101
1010110 => 1001110
1010111 => 0110111
1011000 => 1010010
1011001 => 1100101
1011010 => 1100110
1011011 => 0111011
1011100 => 1110010
1011101 => 0111101
1011110 => 0111110
1011111 => 1011111
1100000 => 0001010
1100001 => 0010101
1100010 => 0010110
1100011 => 0101011
1100100 => 0011010
1100101 => 0101101
1100110 => 0101110
1100111 => 1010111
1101000 => 1001010
1101001 => 0110101
1101010 => 0110110
1101011 => 1011011
1101100 => 0111010
1101101 => 1011101
1101110 => 1011110
1101111 => 1101111
1110000 => 0101010
1110001 => 1010101
1110010 => 1010110
1110011 => 1101011
1110100 => 1011010
1110101 => 1101101
1110110 => 1101110
1110111 => 1110111
1111000 => 1101010
1111001 => 1110101
1111010 => 1110110
1111011 => 1111011
1111100 => 1111010
1111101 => 1111101
1111110 => 1111110
1111111 => 1111111
00000000 => 00000000
00000001 => 00000001
00000010 => 10000000
00000011 => 00000011
00000100 => 01000000
00000101 => 10000001
00000110 => 11000000
00000111 => 00000111
00001000 => 00100000
00001001 => 01000001
00001010 => 01100000
00001011 => 10000011
00001100 => 10100000
00001101 => 11000001
00001110 => 11100000
00001111 => 00001111
00010000 => 00010000
00010001 => 00100001
00010010 => 00110000
00010011 => 01000011
00010100 => 10010000
00010101 => 01100001
00010110 => 01110000
00010111 => 10000111
00011000 => 01010000
00011001 => 10100001
00011010 => 10110000
00011011 => 11000011
00011100 => 11010000
00011101 => 11100001
00011110 => 11110000
00011111 => 00011111
00100000 => 00001000
00100001 => 00010001
00100010 => 00011000
00100011 => 00100011
00100100 => 10001000
00100101 => 00110001
00100110 => 00111000
00100111 => 01000111
00101000 => 01001000
00101001 => 10010001
00101010 => 10011000
00101011 => 01100011
00101100 => 11001000
00101101 => 01110001
00101110 => 01111000
00101111 => 10001111
00110000 => 00101000
00110001 => 01010001
00110010 => 01011000
00110011 => 10100011
00110100 => 01101000
00110101 => 10110001
00110110 => 10111000
00110111 => 11000111
00111000 => 10101000
00111001 => 11010001
00111010 => 11011000
00111011 => 11100011
00111100 => 11101000
00111101 => 11110001
00111110 => 11111000
00111111 => 00111111
01000000 => 00000100
01000001 => 00001001
01000010 => 00001100
01000011 => 00010011
01000100 => 10000100
01000101 => 00011001
01000110 => 00011100
01000111 => 00100111
01001000 => 01000100
01001001 => 10001001
01001010 => 10001100
01001011 => 00110011
01001100 => 11000100
01001101 => 00111001
01001110 => 00111100
01001111 => 01001111
01010000 => 00100100
01010001 => 01001001
01010010 => 01001100
01010011 => 10010011
01010100 => 01100100
01010101 => 10011001
01010110 => 10011100
01010111 => 01100111
01011000 => 10100100
01011001 => 11001001
01011010 => 11001100
01011011 => 01110011
01011100 => 11100100
01011101 => 01111001
01011110 => 01111100
01011111 => 10011111
01100000 => 00010100
01100001 => 00101001
01100010 => 00101100
01100011 => 01010011
01100100 => 00110100
01100101 => 01011001
01100110 => 01011100
01100111 => 10100111
01101000 => 10010100
01101001 => 01101001
01101010 => 01101100
01101011 => 10110011
01101100 => 01110100
01101101 => 10111001
01101110 => 10111100
01101111 => 11001111
01110000 => 01010100
01110001 => 10101001
01110010 => 10101100
01110011 => 11010011
01110100 => 10110100
01110101 => 11011001
01110110 => 11011100
01110111 => 11100111
01111000 => 11010100
01111001 => 11101001
01111010 => 11101100
01111011 => 11110011
01111100 => 11110100
01111101 => 11111001
01111110 => 11111100
01111111 => 01111111
10000000 => 00000010
10000001 => 00000101
10000010 => 00000110
10000011 => 00001011
10000100 => 10000010
10000101 => 00001101
10000110 => 00001110
10000111 => 00010111
10001000 => 01000010
10001001 => 10000101
10001010 => 10000110
10001011 => 00011011
10001100 => 11000010
10001101 => 00011101
10001110 => 00011110
10001111 => 00101111
10010000 => 00100010
10010001 => 01000101
10010010 => 01000110
10010011 => 10001011
10010100 => 01100010
10010101 => 10001101
10010110 => 10001110
10010111 => 00110111
10011000 => 10100010
10011001 => 11000101
10011010 => 11000110
10011011 => 00111011
10011100 => 11100010
10011101 => 00111101
10011110 => 00111110
10011111 => 01011111
10100000 => 00010010
10100001 => 00100101
10100010 => 00100110
10100011 => 01001011
10100100 => 00110010
10100101 => 01001101
10100110 => 01001110
10100111 => 10010111
10101000 => 10010010
10101001 => 01100101
10101010 => 01100110
10101011 => 10011011
10101100 => 01110010
10101101 => 10011101
10101110 => 10011110
10101111 => 01101111
10110000 => 01010010
10110001 => 10100101
10110010 => 10100110
10110011 => 11001011
10110100 => 10110010
10110101 => 11001101
10110110 => 11001110
10110111 => 01110111
10111000 => 11010010
10111001 => 11100101
10111010 => 11100110
10111011 => 01111011
10111100 => 11110010
10111101 => 01111101
10111110 => 01111110
10111111 => 10111111
11000000 => 00001010
11000001 => 00010101
11000010 => 00010110
11000011 => 00101011
11000100 => 00011010
11000101 => 00101101
11000110 => 00101110
11000111 => 01010111
11001000 => 10001010
11001001 => 00110101
11001010 => 00110110
11001011 => 01011011
11001100 => 00111010
11001101 => 01011101
11001110 => 01011110
11001111 => 10101111
11010000 => 01001010
11010001 => 10010101
11010010 => 10010110
11010011 => 01101011
11010100 => 10011010
11010101 => 01101101
11010110 => 01101110
11010111 => 10110111
11011000 => 11001010
11011001 => 01110101
11011010 => 01110110
11011011 => 10111011
11011100 => 01111010
11011101 => 10111101
11011110 => 10111110
11011111 => 11011111
11100000 => 00101010
11100001 => 01010101
11100010 => 01010110
11100011 => 10101011
11100100 => 01011010
11100101 => 10101101
11100110 => 10101110
11100111 => 11010111
11101000 => 01101010
11101001 => 10110101
11101010 => 10110110
11101011 => 11011011
11101100 => 10111010
11101101 => 11011101
11101110 => 11011110
11101111 => 11101111
11110000 => 10101010
11110001 => 11010101
11110010 => 11010110
11110011 => 11101011
11110100 => 11011010
11110101 => 11101101
11110110 => 11101110
11110111 => 11110111
11111000 => 11101010
11111001 => 11110101
11111010 => 11110110
11111011 => 11111011
11111100 => 11111010
11111101 => 11111101
11111110 => 11111110
11111111 => 11111111
000000000 => 000000000
000000001 => 000000001
000000010 => 100000000
000000011 => 000000011
000000100 => 010000000
000000101 => 100000001
000000110 => 110000000
000000111 => 000000111
000001000 => 001000000
000001001 => 010000001
000001010 => 011000000
000001011 => 100000011
000001100 => 101000000
000001101 => 110000001
000001110 => 111000000
000001111 => 000001111
000010000 => 000100000
000010001 => 001000001
000010010 => 001100000
000010011 => 010000011
000010100 => 100100000
000010101 => 011000001
000010110 => 011100000
000010111 => 100000111
000011000 => 010100000
000011001 => 101000001
000011010 => 101100000
000011011 => 110000011
000011100 => 110100000
000011101 => 111000001
000011110 => 111100000
000011111 => 000011111
000100000 => 000010000
000100001 => 000100001
000100010 => 000110000
000100011 => 001000011
000100100 => 100010000
000100101 => 001100001
000100110 => 001110000
000100111 => 010000111
000101000 => 010010000
000101001 => 100100001
000101010 => 100110000
000101011 => 011000011
000101100 => 110010000
000101101 => 011100001
000101110 => 011110000
000101111 => 100001111
000110000 => 001010000
000110001 => 010100001
000110010 => 010110000
000110011 => 101000011
000110100 => 011010000
000110101 => 101100001
000110110 => 101110000
000110111 => 110000111
000111000 => 101010000
000111001 => 110100001
000111010 => 110110000
000111011 => 111000011
000111100 => 111010000
000111101 => 111100001
000111110 => 111110000
000111111 => 000111111
001000000 => 000001000
001000001 => 000010001
001000010 => 000011000
001000011 => 000100011
001000100 => 100001000
001000101 => 000110001
001000110 => 000111000
001000111 => 001000111
001001000 => 010001000
001001001 => 100010001
001001010 => 100011000
001001011 => 001100011
001001100 => 110001000
001001101 => 001110001
001001110 => 001111000
001001111 => 010001111
001010000 => 001001000
001010001 => 010010001
001010010 => 010011000
001010011 => 100100011
001010100 => 011001000
001010101 => 100110001
001010110 => 100111000
001010111 => 011000111
001011000 => 101001000
001011001 => 110010001
001011010 => 110011000
001011011 => 011100011
001011100 => 111001000
001011101 => 011110001
001011110 => 011111000
001011111 => 100011111
001100000 => 000101000
001100001 => 001010001
001100010 => 001011000
001100011 => 010100011
001100100 => 001101000
001100101 => 010110001
001100110 => 010111000
001100111 => 101000111
001101000 => 100101000
001101001 => 011010001
001101010 => 011011000
001101011 => 101100011
001101100 => 011101000
001101101 => 101110001
001101110 => 101111000
001101111 => 110001111
001110000 => 010101000
001110001 => 101010001
001110010 => 101011000
001110011 => 110100011
001110100 => 101101000
001110101 => 110110001
001110110 => 110111000
001110111 => 111000111
001111000 => 110101000
001111001 => 111010001
001111010 => 111011000
001111011 => 111100011
001111100 => 111101000
001111101 => 111110001
001111110 => 111111000
001111111 => 001111111
010000000 => 000000100
010000001 => 000001001
010000010 => 000001100
010000011 => 000010011
010000100 => 100000100
010000101 => 000011001
010000110 => 000011100
010000111 => 000100111
010001000 => 010000100
010001001 => 100001001
010001010 => 100001100
010001011 => 000110011
010001100 => 110000100
010001101 => 000111001
010001110 => 000111100
010001111 => 001001111
010010000 => 001000100
010010001 => 010001001
010010010 => 010001100
010010011 => 100010011
010010100 => 011000100
010010101 => 100011001
010010110 => 100011100
010010111 => 001100111
010011000 => 101000100
010011001 => 110001001
010011010 => 110001100
010011011 => 001110011
010011100 => 111000100
010011101 => 001111001
010011110 => 001111100
010011111 => 010011111
010100000 => 000100100
010100001 => 001001001
010100010 => 001001100
010100011 => 010010011
010100100 => 001100100
010100101 => 010011001
010100110 => 010011100
010100111 => 100100111
010101000 => 100100100
010101001 => 011001001
010101010 => 011001100
010101011 => 100110011
010101100 => 011100100
010101101 => 100111001
010101110 => 100111100
010101111 => 011001111
010110000 => 010100100
010110001 => 101001001
010110010 => 101001100
010110011 => 110010011
010110100 => 101100100
010110101 => 110011001
010110110 => 110011100
010110111 => 011100111
010111000 => 110100100
010111001 => 111001001
010111010 => 111001100
010111011 => 011110011
010111100 => 111100100
010111101 => 011111001
010111110 => 011111100
010111111 => 100111111
011000000 => 000010100
011000001 => 000101001
011000010 => 000101100
011000011 => 001010011
011000100 => 000110100
011000101 => 001011001
011000110 => 001011100
011000111 => 010100111
011001000 => 100010100
011001001 => 001101001
011001010 => 001101100
011001011 => 010110011
011001100 => 001110100
011001101 => 010111001
011001110 => 010111100
011001111 => 101001111
011010000 => 010010100
011010001 => 100101001
011010010 => 100101100
011010011 => 011010011
011010100 => 100110100
011010101 => 011011001
011010110 => 011011100
011010111 => 101100111
011011000 => 110010100
011011001 => 011101001
011011010 => 011101100
011011011 => 101110011
011011100 => 011110100
011011101 => 101111001
011011110 => 101111100
011011111 => 110011111
011100000 => 001010100
011100001 => 010101001
011100010 => 010101100
011100011 => 101010011
011100100 => 010110100
011100101 => 101011001
011100110 => 101011100
011100111 => 110100111
011101000 => 011010100
011101001 => 101101001
011101010 => 101101100
011101011 => 110110011
011101100 => 101110100
011101101 => 110111001
011101110 => 110111100
011101111 => 111001111
011110000 => 101010100
011110001 => 110101001
011110010 => 110101100
011110011 => 111010011
011110100 => 110110100
011110101 => 111011001
011110110 => 111011100
011110111 => 111100111
011111000 => 111010100
011111001 => 111101001
011111010 => 111101100
011111011 => 111110011
011111100 => 111110100
011111101 => 111111001
011111110 => 111111100
011111111 => 011111111
100000000 => 000000010
100000001 => 000000101
100000010 => 000000110
100000011 => 000001011
100000100 => 100000010
100000101 => 000001101
100000110 => 000001110
100000111 => 000010111
100001000 => 010000010
100001001 => 100000101
100001010 => 100000110
100001011 => 000011011
100001100 => 110000010
100001101 => 000011101
100001110 => 000011110
100001111 => 000101111
100010000 => 001000010
100010001 => 010000101
100010010 => 010000110
100010011 => 100001011
100010100 => 011000010
100010101 => 100001101
100010110 => 100001110
100010111 => 000110111
100011000 => 101000010
100011001 => 110000101
100011010 => 110000110
100011011 => 000111011
100011100 => 111000010
100011101 => 000111101
100011110 => 000111110
100011111 => 001011111
100100000 => 000100010
100100001 => 001000101
100100010 => 001000110
100100011 => 010001011
100100100 => 001100010
100100101 => 010001101
100100110 => 010001110
100100111 => 100010111
100101000 => 100100010
100101001 => 011000101
100101010 => 011000110
100101011 => 100011011
100101100 => 011100010
100101101 => 100011101
100101110 => 100011110
100101111 => 001101111
100110000 => 010100010
100110001 => 101000101
100110010 => 101000110
100110011 => 110001011
100110100 => 101100010
100110101 => 110001101
100110110 => 110001110
100110111 => 001110111
100111000 => 110100010
100111001 => 111000101
100111010 => 111000110
100111011 => 001111011
100111100 => 111100010
100111101 => 001111101
100111110 => 001111110
100111111 => 010111111
101000000 => 000010010
101000001 => 000100101
101000010 => 000100110
101000011 => 001001011
101000100 => 000110010
101000101 => 001001101
101000110 => 001001110
101000111 => 010010111
101001000 => 100010010
101001001 => 001100101
101001010 => 001100110
101001011 => 010011011
101001100 => 001110010
101001101 => 010011101
101001110 => 010011110
101001111 => 100101111
101010000 => 010010010
101010001 => 100100101
101010010 => 100100110
101010011 => 011001011
101010100 => 100110010
101010101 => 011001101
101010110 => 011001110
101010111 => 100110111
101011000 => 110010010
101011001 => 011100101
101011010 => 011100110
101011011 => 100111011
101011100 => 011110010
101011101 => 100111101
101011110 => 100111110
101011111 => 011011111
101100000 => 001010010
101100001 => 010100101
101100010 => 010100110
101100011 => 101001011
101100100 => 010110010
101100101 => 101001101
101100110 => 101001110
101100111 => 110010111
101101000 => 011010010
101101001 => 101100101
101101010 => 101100110
101101011 => 110011011
101101100 => 101110010
101101101 => 110011101
101101110 => 110011110
101101111 => 011101111
101110000 => 101010010
101110001 => 110100101
101110010 => 110100110
101110011 => 111001011
101110100 => 110110010
101110101 => 111001101
101110110 => 111001110
101110111 => 011110111
101111000 => 111010010
101111001 => 111100101
101111010 => 111100110
101111011 => 011111011
101111100 => 111110010
101111101 => 011111101
101111110 => 011111110
101111111 => 101111111
110000000 => 000001010
110000001 => 000010101
110000010 => 000010110
110000011 => 000101011
110000100 => 000011010
110000101 => 000101101
110000110 => 000101110
110000111 => 001010111
110001000 => 100001010
110001001 => 000110101
110001010 => 000110110
110001011 => 001011011
110001100 => 000111010
110001101 => 001011101
110001110 => 001011110
110001111 => 010101111
110010000 => 010001010
110010001 => 100010101
110010010 => 100010110
110010011 => 001101011
110010100 => 100011010
110010101 => 001101101
110010110 => 001101110
110010111 => 010110111
110011000 => 110001010
110011001 => 001110101
110011010 => 001110110
110011011 => 010111011
110011100 => 001111010
110011101 => 010111101
110011110 => 010111110
110011111 => 101011111
110100000 => 001001010
110100001 => 010010101
110100010 => 010010110
110100011 => 100101011
110100100 => 010011010
110100101 => 100101101
110100110 => 100101110
110100111 => 011010111
110101000 => 011001010
110101001 => 100110101
110101010 => 100110110
110101011 => 011011011
110101100 => 100111010
110101101 => 011011101
110101110 => 011011110
110101111 => 101101111
110110000 => 101001010
110110001 => 110010101
110110010 => 110010110
110110011 => 011101011
110110100 => 110011010
110110101 => 011101101
110110110 => 011101110
110110111 => 101110111
110111000 => 111001010
110111001 => 011110101
110111010 => 011110110
110111011 => 101111011
110111100 => 011111010
110111101 => 101111101
110111110 => 101111110
110111111 => 110111111
111000000 => 000101010
111000001 => 001010101
111000010 => 001010110
111000011 => 010101011
111000100 => 001011010
111000101 => 010101101
111000110 => 010101110
111000111 => 101010111
111001000 => 001101010
111001001 => 010110101
111001010 => 010110110
111001011 => 101011011
111001100 => 010111010
111001101 => 101011101
111001110 => 101011110
111001111 => 110101111
111010000 => 100101010
111010001 => 011010101
111010010 => 011010110
111010011 => 101101011
111010100 => 011011010
111010101 => 101101101
111010110 => 101101110
111010111 => 110110111
111011000 => 011101010
111011001 => 101110101
111011010 => 101110110
111011011 => 110111011
111011100 => 101111010
111011101 => 110111101
111011110 => 110111110
111011111 => 111011111
111100000 => 010101010
111100001 => 101010101
111100010 => 101010110
111100011 => 110101011
111100100 => 101011010
111100101 => 110101101
111100110 => 110101110
111100111 => 111010111
111101000 => 101101010
111101001 => 110110101
111101010 => 110110110
111101011 => 111011011
111101100 => 110111010
111101101 => 111011101
111101110 => 111011110
111101111 => 111101111
111110000 => 110101010
111110001 => 111010101
111110010 => 111010110
111110011 => 111101011
111110100 => 111011010
111110101 => 111101101
111110110 => 111101110
111110111 => 111110111
111111000 => 111101010
111111001 => 111110101
111111010 => 111110110
111111011 => 111111011
111111100 => 111111010
111111101 => 111111101
111111110 => 111111110
111111111 => 111111111
-----------------------------------------------------------------------------
Created: Sep 12, 2023 at 11:34 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Sep 12, 2023 at 11:34 by Martin Rubey