Identifier
Identifier
Mp00136: Binary words rotate back-to-frontBinary words
Images
0 => 0
1 => 1
00 => 00
01 => 10
10 => 01
11 => 11
000 => 000
001 => 100
010 => 001
011 => 101
100 => 010
101 => 110
110 => 011
111 => 111
0000 => 0000
0001 => 1000
0010 => 0001
0011 => 1001
0100 => 0010
0101 => 1010
0110 => 0011
0111 => 1011
1000 => 0100
1001 => 1100
1010 => 0101
1011 => 1101
1100 => 0110
1101 => 1110
1110 => 0111
1111 => 1111
00000 => 00000
00001 => 10000
00010 => 00001
00011 => 10001
00100 => 00010
00101 => 10010
00110 => 00011
00111 => 10011
01000 => 00100
01001 => 10100
01010 => 00101
01011 => 10101
01100 => 00110
01101 => 10110
01110 => 00111
01111 => 10111
10000 => 01000
10001 => 11000
10010 => 01001
10011 => 11001
10100 => 01010
10101 => 11010
10110 => 01011
10111 => 11011
11000 => 01100
11001 => 11100
11010 => 01101
11011 => 11101
11100 => 01110
11101 => 11110
11110 => 01111
11111 => 11111
000000 => 000000
000001 => 100000
000010 => 000001
000011 => 100001
000100 => 000010
000101 => 100010
000110 => 000011
000111 => 100011
001000 => 000100
001001 => 100100
001010 => 000101
001011 => 100101
001100 => 000110
001101 => 100110
001110 => 000111
001111 => 100111
010000 => 001000
010001 => 101000
010010 => 001001
010011 => 101001
010100 => 001010
010101 => 101010
010110 => 001011
010111 => 101011
011000 => 001100
011001 => 101100
011010 => 001101
011011 => 101101
011100 => 001110
011101 => 101110
011110 => 001111
011111 => 101111
100000 => 010000
100001 => 110000
100010 => 010001
100011 => 110001
100100 => 010010
100101 => 110010
100110 => 010011
100111 => 110011
101000 => 010100
101001 => 110100
101010 => 010101
101011 => 110101
101100 => 010110
101101 => 110110
101110 => 010111
101111 => 110111
110000 => 011000
110001 => 111000
110010 => 011001
110011 => 111001
110100 => 011010
110101 => 111010
110110 => 011011
110111 => 111011
111000 => 011100
111001 => 111100
111010 => 011101
111011 => 111101
111100 => 011110
111101 => 111110
111110 => 011111
111111 => 111111
0000000 => 0000000
0000001 => 1000000
0000010 => 0000001
0000011 => 1000001
0000100 => 0000010
0000101 => 1000010
0000110 => 0000011
0000111 => 1000011
0001000 => 0000100
0001001 => 1000100
0001010 => 0000101
0001011 => 1000101
0001100 => 0000110
0001101 => 1000110
0001110 => 0000111
0001111 => 1000111
0010000 => 0001000
0010001 => 1001000
0010010 => 0001001
0010011 => 1001001
0010100 => 0001010
0010101 => 1001010
0010110 => 0001011
0010111 => 1001011
0011000 => 0001100
0011001 => 1001100
0011010 => 0001101
0011011 => 1001101
0011100 => 0001110
0011101 => 1001110
0011110 => 0001111
0011111 => 1001111
0100000 => 0010000
0100001 => 1010000
0100010 => 0010001
0100011 => 1010001
0100100 => 0010010
0100101 => 1010010
0100110 => 0010011
0100111 => 1010011
0101000 => 0010100
0101001 => 1010100
0101010 => 0010101
0101011 => 1010101
0101100 => 0010110
0101101 => 1010110
0101110 => 0010111
0101111 => 1010111
0110000 => 0011000
0110001 => 1011000
0110010 => 0011001
0110011 => 1011001
0110100 => 0011010
0110101 => 1011010
0110110 => 0011011
0110111 => 1011011
0111000 => 0011100
0111001 => 1011100
0111010 => 0011101
0111011 => 1011101
0111100 => 0011110
0111101 => 1011110
0111110 => 0011111
0111111 => 1011111
1000000 => 0100000
1000001 => 1100000
1000010 => 0100001
1000011 => 1100001
1000100 => 0100010
1000101 => 1100010
1000110 => 0100011
1000111 => 1100011
1001000 => 0100100
1001001 => 1100100
1001010 => 0100101
1001011 => 1100101
1001100 => 0100110
1001101 => 1100110
1001110 => 0100111
1001111 => 1100111
1010000 => 0101000
1010001 => 1101000
1010010 => 0101001
1010011 => 1101001
1010100 => 0101010
1010101 => 1101010
1010110 => 0101011
1010111 => 1101011
1011000 => 0101100
1011001 => 1101100
1011010 => 0101101
1011011 => 1101101
1011100 => 0101110
1011101 => 1101110
1011110 => 0101111
1011111 => 1101111
1100000 => 0110000
1100001 => 1110000
1100010 => 0110001
1100011 => 1110001
1100100 => 0110010
1100101 => 1110010
1100110 => 0110011
1100111 => 1110011
1101000 => 0110100
1101001 => 1110100
1101010 => 0110101
1101011 => 1110101
1101100 => 0110110
1101101 => 1110110
1101110 => 0110111
1101111 => 1110111
1110000 => 0111000
1110001 => 1111000
1110010 => 0111001
1110011 => 1111001
1110100 => 0111010
1110101 => 1111010
1110110 => 0111011
1110111 => 1111011
1111000 => 0111100
1111001 => 1111100
1111010 => 0111101
1111011 => 1111101
1111100 => 0111110
1111101 => 1111110
1111110 => 0111111
1111111 => 1111111
00000000 => 00000000
00000001 => 10000000
00000010 => 00000001
00000011 => 10000001
00000100 => 00000010
00000101 => 10000010
00000110 => 00000011
00000111 => 10000011
00001000 => 00000100
00001001 => 10000100
00001010 => 00000101
00001011 => 10000101
00001100 => 00000110
00001101 => 10000110
00001110 => 00000111
00001111 => 10000111
00010000 => 00001000
00010001 => 10001000
00010010 => 00001001
00010011 => 10001001
00010100 => 00001010
00010101 => 10001010
00010110 => 00001011
00010111 => 10001011
00011000 => 00001100
00011001 => 10001100
00011010 => 00001101
00011011 => 10001101
00011100 => 00001110
00011101 => 10001110
00011110 => 00001111
00011111 => 10001111
00100000 => 00010000
00100001 => 10010000
00100010 => 00010001
00100011 => 10010001
00100100 => 00010010
00100101 => 10010010
00100110 => 00010011
00100111 => 10010011
00101000 => 00010100
00101001 => 10010100
00101010 => 00010101
00101011 => 10010101
00101100 => 00010110
00101101 => 10010110
00101110 => 00010111
00101111 => 10010111
00110000 => 00011000
00110001 => 10011000
00110010 => 00011001
00110011 => 10011001
00110100 => 00011010
00110101 => 10011010
00110110 => 00011011
00110111 => 10011011
00111000 => 00011100
00111001 => 10011100
00111010 => 00011101
00111011 => 10011101
00111100 => 00011110
00111101 => 10011110
00111110 => 00011111
00111111 => 10011111
01000000 => 00100000
01000001 => 10100000
01000010 => 00100001
01000011 => 10100001
01000100 => 00100010
01000101 => 10100010
01000110 => 00100011
01000111 => 10100011
01001000 => 00100100
01001001 => 10100100
01001010 => 00100101
01001011 => 10100101
01001100 => 00100110
01001101 => 10100110
01001110 => 00100111
01001111 => 10100111
01010000 => 00101000
01010001 => 10101000
01010010 => 00101001
01010011 => 10101001
01010100 => 00101010
01010101 => 10101010
01010110 => 00101011
01010111 => 10101011
01011000 => 00101100
01011001 => 10101100
01011010 => 00101101
01011011 => 10101101
01011100 => 00101110
01011101 => 10101110
01011110 => 00101111
01011111 => 10101111
01100000 => 00110000
01100001 => 10110000
01100010 => 00110001
01100011 => 10110001
01100100 => 00110010
01100101 => 10110010
01100110 => 00110011
01100111 => 10110011
01101000 => 00110100
01101001 => 10110100
01101010 => 00110101
01101011 => 10110101
01101100 => 00110110
01101101 => 10110110
01101110 => 00110111
01101111 => 10110111
01110000 => 00111000
01110001 => 10111000
01110010 => 00111001
01110011 => 10111001
01110100 => 00111010
01110101 => 10111010
01110110 => 00111011
01110111 => 10111011
01111000 => 00111100
01111001 => 10111100
01111010 => 00111101
01111011 => 10111101
01111100 => 00111110
01111101 => 10111110
01111110 => 00111111
01111111 => 10111111
10000000 => 01000000
10000001 => 11000000
10000010 => 01000001
10000011 => 11000001
10000100 => 01000010
10000101 => 11000010
10000110 => 01000011
10000111 => 11000011
10001000 => 01000100
10001001 => 11000100
10001010 => 01000101
10001011 => 11000101
10001100 => 01000110
10001101 => 11000110
10001110 => 01000111
10001111 => 11000111
10010000 => 01001000
10010001 => 11001000
10010010 => 01001001
10010011 => 11001001
10010100 => 01001010
10010101 => 11001010
10010110 => 01001011
10010111 => 11001011
10011000 => 01001100
10011001 => 11001100
10011010 => 01001101
10011011 => 11001101
10011100 => 01001110
10011101 => 11001110
10011110 => 01001111
10011111 => 11001111
10100000 => 01010000
10100001 => 11010000
10100010 => 01010001
10100011 => 11010001
10100100 => 01010010
10100101 => 11010010
10100110 => 01010011
10100111 => 11010011
10101000 => 01010100
10101001 => 11010100
10101010 => 01010101
10101011 => 11010101
10101100 => 01010110
10101101 => 11010110
10101110 => 01010111
10101111 => 11010111
10110000 => 01011000
10110001 => 11011000
10110010 => 01011001
10110011 => 11011001
10110100 => 01011010
10110101 => 11011010
10110110 => 01011011
10110111 => 11011011
10111000 => 01011100
10111001 => 11011100
10111010 => 01011101
10111011 => 11011101
10111100 => 01011110
10111101 => 11011110
10111110 => 01011111
10111111 => 11011111
11000000 => 01100000
11000001 => 11100000
11000010 => 01100001
11000011 => 11100001
11000100 => 01100010
11000101 => 11100010
11000110 => 01100011
11000111 => 11100011
11001000 => 01100100
11001001 => 11100100
11001010 => 01100101
11001011 => 11100101
11001100 => 01100110
11001101 => 11100110
11001110 => 01100111
11001111 => 11100111
11010000 => 01101000
11010001 => 11101000
11010010 => 01101001
11010011 => 11101001
11010100 => 01101010
11010101 => 11101010
11010110 => 01101011
11010111 => 11101011
11011000 => 01101100
11011001 => 11101100
11011010 => 01101101
11011011 => 11101101
11011100 => 01101110
11011101 => 11101110
11011110 => 01101111
11011111 => 11101111
11100000 => 01110000
11100001 => 11110000
11100010 => 01110001
11100011 => 11110001
11100100 => 01110010
11100101 => 11110010
11100110 => 01110011
11100111 => 11110011
11101000 => 01110100
11101001 => 11110100
11101010 => 01110101
11101011 => 11110101
11101100 => 01110110
11101101 => 11110110
11101110 => 01110111
11101111 => 11110111
11110000 => 01111000
11110001 => 11111000
11110010 => 01111001
11110011 => 11111001
11110100 => 01111010
11110101 => 11111010
11110110 => 01111011
11110111 => 11111011
11111000 => 01111100
11111001 => 11111100
11111010 => 01111101
11111011 => 11111101
11111100 => 01111110
11111101 => 11111110
11111110 => 01111111
11111111 => 11111111
000000000 => 000000000
000000001 => 100000000
000000010 => 000000001
000000011 => 100000001
000000100 => 000000010
000000101 => 100000010
000000110 => 000000011
000000111 => 100000011
000001000 => 000000100
000001001 => 100000100
000001010 => 000000101
000001011 => 100000101
000001100 => 000000110
000001101 => 100000110
000001110 => 000000111
000001111 => 100000111
000010000 => 000001000
000010001 => 100001000
000010010 => 000001001
000010011 => 100001001
000010100 => 000001010
000010101 => 100001010
000010110 => 000001011
000010111 => 100001011
000011000 => 000001100
000011001 => 100001100
000011010 => 000001101
000011011 => 100001101
000011100 => 000001110
000011101 => 100001110
000011110 => 000001111
000011111 => 100001111
000100000 => 000010000
000100001 => 100010000
000100010 => 000010001
000100011 => 100010001
000100100 => 000010010
000100101 => 100010010
000100110 => 000010011
000100111 => 100010011
000101000 => 000010100
000101001 => 100010100
000101010 => 000010101
000101011 => 100010101
000101100 => 000010110
000101101 => 100010110
000101110 => 000010111
000101111 => 100010111
000110000 => 000011000
000110001 => 100011000
000110010 => 000011001
000110011 => 100011001
000110100 => 000011010
000110101 => 100011010
000110110 => 000011011
000110111 => 100011011
000111000 => 000011100
000111001 => 100011100
000111010 => 000011101
000111011 => 100011101
000111100 => 000011110
000111101 => 100011110
000111110 => 000011111
000111111 => 100011111
001000000 => 000100000
001000001 => 100100000
001000010 => 000100001
001000011 => 100100001
001000100 => 000100010
001000101 => 100100010
001000110 => 000100011
001000111 => 100100011
001001000 => 000100100
001001001 => 100100100
001001010 => 000100101
001001011 => 100100101
001001100 => 000100110
001001101 => 100100110
001001110 => 000100111
001001111 => 100100111
001010000 => 000101000
001010001 => 100101000
001010010 => 000101001
001010011 => 100101001
001010100 => 000101010
001010101 => 100101010
001010110 => 000101011
001010111 => 100101011
001011000 => 000101100
001011001 => 100101100
001011010 => 000101101
001011011 => 100101101
001011100 => 000101110
001011101 => 100101110
001011110 => 000101111
001011111 => 100101111
001100000 => 000110000
001100001 => 100110000
001100010 => 000110001
001100011 => 100110001
001100100 => 000110010
001100101 => 100110010
001100110 => 000110011
001100111 => 100110011
001101000 => 000110100
001101001 => 100110100
001101010 => 000110101
001101011 => 100110101
001101100 => 000110110
001101101 => 100110110
001101110 => 000110111
001101111 => 100110111
001110000 => 000111000
001110001 => 100111000
001110010 => 000111001
001110011 => 100111001
001110100 => 000111010
001110101 => 100111010
001110110 => 000111011
001110111 => 100111011
001111000 => 000111100
001111001 => 100111100
001111010 => 000111101
001111011 => 100111101
001111100 => 000111110
001111101 => 100111110
001111110 => 000111111
001111111 => 100111111
010000000 => 001000000
010000001 => 101000000
010000010 => 001000001
010000011 => 101000001
010000100 => 001000010
010000101 => 101000010
010000110 => 001000011
010000111 => 101000011
010001000 => 001000100
010001001 => 101000100
010001010 => 001000101
010001011 => 101000101
010001100 => 001000110
010001101 => 101000110
010001110 => 001000111
010001111 => 101000111
010010000 => 001001000
010010001 => 101001000
010010010 => 001001001
010010011 => 101001001
010010100 => 001001010
010010101 => 101001010
010010110 => 001001011
010010111 => 101001011
010011000 => 001001100
010011001 => 101001100
010011010 => 001001101
010011011 => 101001101
010011100 => 001001110
010011101 => 101001110
010011110 => 001001111
010011111 => 101001111
010100000 => 001010000
010100001 => 101010000
010100010 => 001010001
010100011 => 101010001
010100100 => 001010010
010100101 => 101010010
010100110 => 001010011
010100111 => 101010011
010101000 => 001010100
010101001 => 101010100
010101010 => 001010101
010101011 => 101010101
010101100 => 001010110
010101101 => 101010110
010101110 => 001010111
010101111 => 101010111
010110000 => 001011000
010110001 => 101011000
010110010 => 001011001
010110011 => 101011001
010110100 => 001011010
010110101 => 101011010
010110110 => 001011011
010110111 => 101011011
010111000 => 001011100
010111001 => 101011100
010111010 => 001011101
010111011 => 101011101
010111100 => 001011110
010111101 => 101011110
010111110 => 001011111
010111111 => 101011111
011000000 => 001100000
011000001 => 101100000
011000010 => 001100001
011000011 => 101100001
011000100 => 001100010
011000101 => 101100010
011000110 => 001100011
011000111 => 101100011
011001000 => 001100100
011001001 => 101100100
011001010 => 001100101
011001011 => 101100101
011001100 => 001100110
011001101 => 101100110
011001110 => 001100111
011001111 => 101100111
011010000 => 001101000
011010001 => 101101000
011010010 => 001101001
011010011 => 101101001
011010100 => 001101010
011010101 => 101101010
011010110 => 001101011
011010111 => 101101011
011011000 => 001101100
011011001 => 101101100
011011010 => 001101101
011011011 => 101101101
011011100 => 001101110
011011101 => 101101110
011011110 => 001101111
011011111 => 101101111
011100000 => 001110000
011100001 => 101110000
011100010 => 001110001
011100011 => 101110001
011100100 => 001110010
011100101 => 101110010
011100110 => 001110011
011100111 => 101110011
011101000 => 001110100
011101001 => 101110100
011101010 => 001110101
011101011 => 101110101
011101100 => 001110110
011101101 => 101110110
011101110 => 001110111
011101111 => 101110111
011110000 => 001111000
011110001 => 101111000
011110010 => 001111001
011110011 => 101111001
011110100 => 001111010
011110101 => 101111010
011110110 => 001111011
011110111 => 101111011
011111000 => 001111100
011111001 => 101111100
011111010 => 001111101
011111011 => 101111101
011111100 => 001111110
011111101 => 101111110
011111110 => 001111111
011111111 => 101111111
100000000 => 010000000
100000001 => 110000000
100000010 => 010000001
100000011 => 110000001
100000100 => 010000010
100000101 => 110000010
100000110 => 010000011
100000111 => 110000011
100001000 => 010000100
100001001 => 110000100
100001010 => 010000101
100001011 => 110000101
100001100 => 010000110
100001101 => 110000110
100001110 => 010000111
100001111 => 110000111
100010000 => 010001000
100010001 => 110001000
100010010 => 010001001
100010011 => 110001001
100010100 => 010001010
100010101 => 110001010
100010110 => 010001011
100010111 => 110001011
100011000 => 010001100
100011001 => 110001100
100011010 => 010001101
100011011 => 110001101
100011100 => 010001110
100011101 => 110001110
100011110 => 010001111
100011111 => 110001111
100100000 => 010010000
100100001 => 110010000
100100010 => 010010001
100100011 => 110010001
100100100 => 010010010
100100101 => 110010010
100100110 => 010010011
100100111 => 110010011
100101000 => 010010100
100101001 => 110010100
100101010 => 010010101
100101011 => 110010101
100101100 => 010010110
100101101 => 110010110
100101110 => 010010111
100101111 => 110010111
100110000 => 010011000
100110001 => 110011000
100110010 => 010011001
100110011 => 110011001
100110100 => 010011010
100110101 => 110011010
100110110 => 010011011
100110111 => 110011011
100111000 => 010011100
100111001 => 110011100
100111010 => 010011101
100111011 => 110011101
100111100 => 010011110
100111101 => 110011110
100111110 => 010011111
100111111 => 110011111
101000000 => 010100000
101000001 => 110100000
101000010 => 010100001
101000011 => 110100001
101000100 => 010100010
101000101 => 110100010
101000110 => 010100011
101000111 => 110100011
101001000 => 010100100
101001001 => 110100100
101001010 => 010100101
101001011 => 110100101
101001100 => 010100110
101001101 => 110100110
101001110 => 010100111
101001111 => 110100111
101010000 => 010101000
101010001 => 110101000
101010010 => 010101001
101010011 => 110101001
101010100 => 010101010
101010101 => 110101010
101010110 => 010101011
101010111 => 110101011
101011000 => 010101100
101011001 => 110101100
101011010 => 010101101
101011011 => 110101101
101011100 => 010101110
101011101 => 110101110
101011110 => 010101111
101011111 => 110101111
101100000 => 010110000
101100001 => 110110000
101100010 => 010110001
101100011 => 110110001
101100100 => 010110010
101100101 => 110110010
101100110 => 010110011
101100111 => 110110011
101101000 => 010110100
101101001 => 110110100
101101010 => 010110101
101101011 => 110110101
101101100 => 010110110
101101101 => 110110110
101101110 => 010110111
101101111 => 110110111
101110000 => 010111000
101110001 => 110111000
101110010 => 010111001
101110011 => 110111001
101110100 => 010111010
101110101 => 110111010
101110110 => 010111011
101110111 => 110111011
101111000 => 010111100
101111001 => 110111100
101111010 => 010111101
101111011 => 110111101
101111100 => 010111110
101111101 => 110111110
101111110 => 010111111
101111111 => 110111111
110000000 => 011000000
110000001 => 111000000
110000010 => 011000001
110000011 => 111000001
110000100 => 011000010
110000101 => 111000010
110000110 => 011000011
110000111 => 111000011
110001000 => 011000100
110001001 => 111000100
110001010 => 011000101
110001011 => 111000101
110001100 => 011000110
110001101 => 111000110
110001110 => 011000111
110001111 => 111000111
110010000 => 011001000
110010001 => 111001000
110010010 => 011001001
110010011 => 111001001
110010100 => 011001010
110010101 => 111001010
110010110 => 011001011
110010111 => 111001011
110011000 => 011001100
110011001 => 111001100
110011010 => 011001101
110011011 => 111001101
110011100 => 011001110
110011101 => 111001110
110011110 => 011001111
110011111 => 111001111
110100000 => 011010000
110100001 => 111010000
110100010 => 011010001
110100011 => 111010001
110100100 => 011010010
110100101 => 111010010
110100110 => 011010011
110100111 => 111010011
110101000 => 011010100
110101001 => 111010100
110101010 => 011010101
110101011 => 111010101
110101100 => 011010110
110101101 => 111010110
110101110 => 011010111
110101111 => 111010111
110110000 => 011011000
110110001 => 111011000
110110010 => 011011001
110110011 => 111011001
110110100 => 011011010
110110101 => 111011010
110110110 => 011011011
110110111 => 111011011
110111000 => 011011100
110111001 => 111011100
110111010 => 011011101
110111011 => 111011101
110111100 => 011011110
110111101 => 111011110
110111110 => 011011111
110111111 => 111011111
111000000 => 011100000
111000001 => 111100000
111000010 => 011100001
111000011 => 111100001
111000100 => 011100010
111000101 => 111100010
111000110 => 011100011
111000111 => 111100011
111001000 => 011100100
111001001 => 111100100
111001010 => 011100101
111001011 => 111100101
111001100 => 011100110
111001101 => 111100110
111001110 => 011100111
111001111 => 111100111
111010000 => 011101000
111010001 => 111101000
111010010 => 011101001
111010011 => 111101001
111010100 => 011101010
111010101 => 111101010
111010110 => 011101011
111010111 => 111101011
111011000 => 011101100
111011001 => 111101100
111011010 => 011101101
111011011 => 111101101
111011100 => 011101110
111011101 => 111101110
111011110 => 011101111
111011111 => 111101111
111100000 => 011110000
111100001 => 111110000
111100010 => 011110001
111100011 => 111110001
111100100 => 011110010
111100101 => 111110010
111100110 => 011110011
111100111 => 111110011
111101000 => 011110100
111101001 => 111110100
111101010 => 011110101
111101011 => 111110101
111101100 => 011110110
111101101 => 111110110
111101110 => 011110111
111101111 => 111110111
111110000 => 011111000
111110001 => 111111000
111110010 => 011111001
111110011 => 111111001
111110100 => 011111010
111110101 => 111111010
111110110 => 011111011
111110111 => 111111011
111111000 => 011111100
111111001 => 111111100
111111010 => 011111101
111111011 => 111111101
111111100 => 011111110
111111101 => 111111110
111111110 => 011111111
111111111 => 111111111
1010101010 => 0101010101
1010101100 => 0101010110
1010110010 => 0101011001
1010110100 => 0101011010
1010111000 => 0101011100
1011001010 => 0101100101
1011001100 => 0101100110
1011010010 => 0101101001
1011010100 => 0101101010
1011011000 => 0101101100
1011100010 => 0101110001
1011100100 => 0101110010
1011101000 => 0101110100
1011110000 => 0101111000
1100101010 => 0110010101
1100101100 => 0110010110
1100110010 => 0110011001
1100110100 => 0110011010
1100111000 => 0110011100
1101001010 => 0110100101
1101001100 => 0110100110
1101010010 => 0110101001
1101010100 => 0110101010
1101011000 => 0110101100
1101100010 => 0110110001
1101100100 => 0110110010
1101101000 => 0110110100
1101110000 => 0110111000
1110001010 => 0111000101
1110001100 => 0111000110
1110010010 => 0111001001
1110010100 => 0111001010
1110011000 => 0111001100
1110100010 => 0111010001
1110100100 => 0111010010
1110101000 => 0111010100
1110110000 => 0111011000
1111000010 => 0111100001
1111000100 => 0111100010
1111001000 => 0111100100
1111010000 => 0111101000
1111100000 => 0111110000
101010101010 => 010101010101
101010101100 => 010101010110
101010110010 => 010101011001
101010110100 => 010101011010
101010111000 => 010101011100
101011001010 => 010101100101
101011001100 => 010101100110
101011010010 => 010101101001
101011010100 => 010101101010
101011011000 => 010101101100
101011100010 => 010101110001
101011100100 => 010101110010
101011101000 => 010101110100
101011110000 => 010101111000
101100101010 => 010110010101
101100101100 => 010110010110
101100110010 => 010110011001
101100110100 => 010110011010
101100111000 => 010110011100
101101001010 => 010110100101
101101001100 => 010110100110
101101010010 => 010110101001
101101010100 => 010110101010
101101011000 => 010110101100
101101100010 => 010110110001
101101100100 => 010110110010
101101101000 => 010110110100
101101110000 => 010110111000
101110001010 => 010111000101
101110001100 => 010111000110
101110010010 => 010111001001
101110010100 => 010111001010
101110011000 => 010111001100
101110100010 => 010111010001
101110100100 => 010111010010
101110101000 => 010111010100
101110110000 => 010111011000
101111000010 => 010111100001
101111000100 => 010111100010
101111001000 => 010111100100
101111010000 => 010111101000
101111100000 => 010111110000
110010101010 => 011001010101
110010101100 => 011001010110
110010110010 => 011001011001
110010110100 => 011001011010
110010111000 => 011001011100
110011001010 => 011001100101
110011001100 => 011001100110
110011010010 => 011001101001
110011010100 => 011001101010
110011011000 => 011001101100
110011100010 => 011001110001
110011100100 => 011001110010
110011101000 => 011001110100
110011110000 => 011001111000
110100101010 => 011010010101
110100101100 => 011010010110
110100110010 => 011010011001
110100110100 => 011010011010
110100111000 => 011010011100
110101001010 => 011010100101
110101001100 => 011010100110
110101010010 => 011010101001
110101010100 => 011010101010
110101011000 => 011010101100
110101100010 => 011010110001
110101100100 => 011010110010
110101101000 => 011010110100
110101110000 => 011010111000
110110001010 => 011011000101
110110001100 => 011011000110
110110010010 => 011011001001
110110010100 => 011011001010
110110011000 => 011011001100
110110100010 => 011011010001
110110100100 => 011011010010
110110101000 => 011011010100
110110110000 => 011011011000
110111000010 => 011011100001
110111000100 => 011011100010
110111001000 => 011011100100
110111010000 => 011011101000
110111100000 => 011011110000
111000101010 => 011100010101
111000101100 => 011100010110
111000110010 => 011100011001
111000110100 => 011100011010
111000111000 => 011100011100
111001001010 => 011100100101
111001001100 => 011100100110
111001010010 => 011100101001
111001010100 => 011100101010
111001011000 => 011100101100
111001100010 => 011100110001
111001100100 => 011100110010
111001101000 => 011100110100
111001110000 => 011100111000
111010001010 => 011101000101
111010001100 => 011101000110
111010010010 => 011101001001
111010010100 => 011101001010
111010011000 => 011101001100
111010100010 => 011101010001
111010100100 => 011101010010
111010101000 => 011101010100
111010110000 => 011101011000
111011000010 => 011101100001
111011000100 => 011101100010
111011001000 => 011101100100
111011010000 => 011101101000
111011100000 => 011101110000
111100001010 => 011110000101
111100001100 => 011110000110
111100010010 => 011110001001
111100010100 => 011110001010
111100011000 => 011110001100
111100100010 => 011110010001
111100100100 => 011110010010
111100101000 => 011110010100
111100110000 => 011110011000
111101000010 => 011110100001
111101000100 => 011110100010
111101001000 => 011110100100
111101010000 => 011110101000
111101100000 => 011110110000
111110000010 => 011111000001
111110000100 => 011111000010
111110001000 => 011111000100
111110010000 => 011111001000
111110100000 => 011111010000
111111000000 => 011111100000
10101010101100 => 01010101010110
10101010110010 => 01010101011001
10101010110100 => 01010101011010
10101011001100 => 01010101100110
10101011010010 => 01010101101001
10101011010100 => 01010101101010
10101011011000 => 01010101101100
10101011100010 => 01010101110001
10101011100100 => 01010101110010
10101100101100 => 01010110010110
10101100110010 => 01010110011001
10101100110100 => 01010110011010
10101101001010 => 01010110100101
10101101001100 => 01010110100110
10101101010010 => 01010110101001
10101101010100 => 01010110101010
10101101011000 => 01010110101100
10101101100010 => 01010110110001
10101101100100 => 01010110110010
10101110001010 => 01010111000101
10101110001100 => 01010111000110
10101110010010 => 01010111001001
10101110100010 => 01010111010001
10101110100100 => 01010111010010
10101111000010 => 01010111100001
10101111000100 => 01010111100010
10101111001000 => 01010111100100
10101111010000 => 01010111101000
10101111100000 => 01010111110000
10110010101010 => 01011001010101
10110010101100 => 01011001010110
10110010110100 => 01011001011010
10110011001010 => 01011001100101
10110011100010 => 01011001110001
10110011110000 => 01011001111000
10110100101010 => 01011010010101
10110100101100 => 01011010010110
10110100110100 => 01011010011010
10110101001010 => 01011010100101
10110101001100 => 01011010100110
10110101010100 => 01011010101010
10110101011000 => 01011010101100
10110110001010 => 01011011000101
10110110110000 => 01011011011000
10110111000010 => 01011011100001
10110111001000 => 01011011100100
10110111010000 => 01011011101000
10110111100000 => 01011011110000
10111000101010 => 01011100010101
10111000111000 => 01011100011100
10111001001010 => 01011100100101
10111010001010 => 01011101000101
10111011010000 => 01011101101000
10111011100000 => 01011101110000
10111100001010 => 01011110000101
10111100001100 => 01011110000110
10111100010010 => 01011110001001
10111100011000 => 01011110001100
10111100100010 => 01011110010001
10111100110000 => 01011110011000
10111101000010 => 01011110100001
10111101001000 => 01011110100100
10111101010000 => 01011110101000
10111101100000 => 01011110110000
10111110000010 => 01011111000001
10111110000100 => 01011111000010
10111110001000 => 01011111000100
10111110010000 => 01011111001000
10111110100000 => 01011111010000
10111111000000 => 01011111100000
11001010101010 => 01100101010101
11001010101100 => 01100101010110
11001010110010 => 01100101011001
11001010110100 => 01100101011010
11001010111000 => 01100101011100
11001011001010 => 01100101100101
11001011001100 => 01100101100110
11001011010010 => 01100101101001
11001011010100 => 01100101101010
11001011011000 => 01100101101100
11001011100010 => 01100101110001
11001011110000 => 01100101111000
11001100101010 => 01100110010101
11001100101100 => 01100110010110
11001100110100 => 01100110011010
11001101010010 => 01100110101001
11001101010100 => 01100110101010
11001101101000 => 01100110110100
11001101110000 => 01100110111000
11001110001010 => 01100111000101
11001110011000 => 01100111001100
11001110100100 => 01100111010010
11001110101000 => 01100111010100
11001110110000 => 01100111011000
11001111000010 => 01100111100001
11001111000100 => 01100111100010
11001111001000 => 01100111100100
11001111010000 => 01100111101000
11001111100000 => 01100111110000
11010010101010 => 01101001010101
11010010101100 => 01101001010110
11010010110100 => 01101001011010
11010011100010 => 01101001110001
11010100101010 => 01101010010101
11010100101100 => 01101010010110
11010100110100 => 01101010011010
11010101001010 => 01101010100101
11010101001100 => 01101010100110
11010101010010 => 01101010101001
11010101010100 => 01101010101010
11010101011000 => 01101010101100
11010101100010 => 01101010110001
11010101100100 => 01101010110010
11010101101000 => 01101010110100
11010101110000 => 01101010111000
11010110001010 => 01101011000101
11010110010100 => 01101011001010
11010110011000 => 01101011001100
11010110100100 => 01101011010010
11010110101000 => 01101011010100
11010110110000 => 01101011011000
11010111010000 => 01101011101000
11011000101010 => 01101100010101
11011001010100 => 01101100101010
11011010001100 => 01101101000110
11011010010100 => 01101101001010
11011010101000 => 01101101010100
11011010110000 => 01101101011000
11011011000010 => 01101101100001
11011011010000 => 01101101101000
11011100001010 => 01101110000101
11011100001100 => 01101110000110
11011110000010 => 01101111000001
11011110000100 => 01101111000010
11011110010000 => 01101111001000
11011110100000 => 01101111010000
11011111000000 => 01101111100000
11100010101010 => 01110001010101
11100010101100 => 01110001010110
11100010110100 => 01110001011010
11100011100010 => 01110001110001
11100011110000 => 01110001111000
11100100101010 => 01110010010101
11100100101100 => 01110010010110
11100100110100 => 01110010011010
11100101001010 => 01110010100101
11100101010010 => 01110010101001
11100101010100 => 01110010101010
11100101100100 => 01110010110010
11100110001100 => 01110011000110
11100110010100 => 01110011001010
11100110101000 => 01110011010100
11100111000010 => 01110011100001
11101000101010 => 01110100010101
11101000101100 => 01110100010110
11101001001100 => 01110100100110
11101001010100 => 01110100101010
11101001100010 => 01110100110001
11101001100100 => 01110100110010
11101010001010 => 01110101000101
11101010001100 => 01110101000110
11101010010100 => 01110101001010
11101010011000 => 01110101001100
11101010100010 => 01110101010001
11101010100100 => 01110101010010
11101010101000 => 01110101010100
11101010110000 => 01110101011000
11101011000010 => 01110101100001
11101011001000 => 01110101100100
11101011010000 => 01110101101000
11101011100000 => 01110101110000
11101100001100 => 01110110000110
11101101000010 => 01110110100001
11101101000100 => 01110110100010
11101110000010 => 01110111000001
11101110000100 => 01110111000010
11101110010000 => 01110111001000
11101110100000 => 01110111010000
11101111000000 => 01110111100000
11110000101100 => 01111000010110
11110000110010 => 01111000011001
11110000111000 => 01111000011100
11110001001100 => 01111000100110
11110001100010 => 01111000110001
11110010001100 => 01111001000110
11110010010010 => 01111001001001
11110010100100 => 01111001010010
11110010101000 => 01111001010100
11110011000010 => 01111001100001
11110011000100 => 01111001100010
11110100001100 => 01111010000110
11110100100010 => 01111010010001
11110100100100 => 01111010010010
11110101000010 => 01111010100001
11110101000100 => 01111010100010
11110101010000 => 01111010101000
11110110000010 => 01111011000001
11110110000100 => 01111011000010
11110110001000 => 01111011000100
11110110010000 => 01111011001000
11110110100000 => 01111011010000
11110111000000 => 01111011100000
11111000001100 => 01111100000110
11111000010010 => 01111100001001
11111000010100 => 01111100001010
11111000100010 => 01111100010001
11111000100100 => 01111100010010
11111000110000 => 01111100011000
11111001000010 => 01111100100001
11111001000100 => 01111100100010
11111001001000 => 01111100100100
11111001100000 => 01111100110000
11111010000010 => 01111101000001
11111010000100 => 01111101000010
11111010001000 => 01111101000100
11111010010000 => 01111101001000
11111010100000 => 01111101010000
11111011000000 => 01111101100000
11111100000010 => 01111110000001
11111100000100 => 01111110000010
11111100001000 => 01111110000100
11111100010000 => 01111110001000
11111100100000 => 01111110010000
11111101000000 => 01111110100000
11111110000000 => 01111111000000
1010101010101100 => 0101010101010110
1010101010110100 => 0101010101011010
1010101011001100 => 0101010101100110
1010101011010100 => 0101010101101010
1010101011100100 => 0101010101110010
1010101100101100 => 0101010110010110
1010101111000100 => 0101010111100010
1010110010101100 => 0101011001010110
1010110010110100 => 0101011001011010
1010110101011000 => 0101011010101100
1010110111000010 => 0101011011100001
1010111000101010 => 0101011100010101
1010111010100010 => 0101011101010001
1010111011000010 => 0101011101100001
1010111100010010 => 0101011110001001
1010111100100010 => 0101011110010001
1010111101000010 => 0101011110100001
1010111110000010 => 0101011111000001
1010111110010000 => 0101011111001000
1010111110100000 => 0101011111010000
1010111111000000 => 0101011111100000
1011001010101100 => 0101100101010110
1011001010110100 => 0101100101011010
1011001111100000 => 0101100111110000
1011010010101100 => 0101101001010110
1011010010110100 => 0101101001011010
1011010101011000 => 0101101010101100
1011011011010000 => 0101101101101000
1011011100001010 => 0101101110000101
1011011101001000 => 0101101110100100
1011100010101010 => 0101110001010101
1011100011110000 => 0101110001111000
1011101001101000 => 0101110100110100
1011101010001010 => 0101110101000101
1011101100001010 => 0101110110000101
1011101101000100 => 0101110110100010
1011110001001010 => 0101111000100101
1011110010001010 => 0101111001000101
1011110100001010 => 0101111010000101
1011110100100100 => 0101111010010010
1011110111000000 => 0101111011100000
1011111000001010 => 0101111100000101
1011111000001100 => 0101111100000110
1011111010100000 => 0101111101010000
1011111011000000 => 0101111101100000
1011111100000010 => 0101111110000001
1011111100010000 => 0101111110001000
1011111100100000 => 0101111110010000
1011111101000000 => 0101111110100000
1011111110000000 => 0101111111000000
1100101010101010 => 0110010101010101
1100101010101100 => 0110010101010110
1100101010110010 => 0110010101011001
1100101010110100 => 0110010101011010
1100101010111000 => 0110010101011100
1100101011001010 => 0110010101100101
1100101011010100 => 0110010101101010
1100101101010100 => 0110010110101010
1100110011001100 => 0110011001100110
1100110011101000 => 0110011001110100
1100110011110000 => 0110011001111000
1100110101010100 => 0110011010101010
1100111000101010 => 0110011100010101
1100111010001100 => 0110011101000110
1100111011001000 => 0110011101100100
1100111011100000 => 0110011101110000
1100111100001100 => 0110011110000110
1100111101010000 => 0110011110101000
1100111101100000 => 0110011110110000
1100111110000010 => 0110011111000001
1100111110000100 => 0110011111000010
1100111110001000 => 0110011111000100
1100111110010000 => 0110011111001000
1100111110100000 => 0110011111010000
1100111111000000 => 0110011111100000
1101001010101100 => 0110100101010110
1101001010110100 => 0110100101011010
1101001101101000 => 0110100110110100
1101001110100100 => 0110100111010010
1101010100101010 => 0110101010010101
1101010100101100 => 0110101010010110
1101010101001010 => 0110101010100101
1101010101001100 => 0110101010100110
1101010101010010 => 0110101010101001
1101010101010100 => 0110101010101010
1101010101011000 => 0110101010101100
1101010101100100 => 0110101010110010
1101010101101000 => 0110101010110100
1101010101110000 => 0110101010111000
1101010110010100 => 0110101011001010
1101010110101000 => 0110101011010100
1101011000101010 => 0110101100010101
1101011001010100 => 0110101100101010
1101100010101010 => 0110110001010101
1101100101010100 => 0110110010101010
1101101000110100 => 0110110100011010
1101101101000010 => 0110110110100001
1101110100100010 => 0110111010010001
1101111000001100 => 0110111100000110
1101111100100000 => 0110111110010000
1101111101000000 => 0110111110100000
1101111110000000 => 0110111111000000
1110001010101010 => 0111000101010101
1110001010101100 => 0111000101010110
1110001010110100 => 0111000101011010
1110001111000010 => 0111000111100001
1110010101001010 => 0111001010100101
1110010101010010 => 0111001010101001
1110010101010100 => 0111001010101010
1110011001010100 => 0111001100101010
1110100011001100 => 0111010001100110
1110100011101000 => 0111010001110100
1110100011110000 => 0111010001111000
1110100100110100 => 0111010010011010
1110100101010100 => 0111010010101010
1110100110100010 => 0111010011010001
1110101000101010 => 0111010100010101
1110101001010100 => 0111010100101010
1110101010001010 => 0111010101000101
1110101010001100 => 0111010101000110
1110101010100010 => 0111010101010001
1110101010100100 => 0111010101010010
1110101010101000 => 0111010101010100
1110101010110000 => 0111010101011000
1110110010001100 => 0111011001000110
1110110011001000 => 0111011001100100
1110110011100000 => 0111011001110000
1110110100010010 => 0111011010001001
1110111000001100 => 0111011100000110
1110111001010000 => 0111011100101000
1110111001100000 => 0111011100110000
1110111100000010 => 0111011110000001
1110111100001000 => 0111011110000100
1110111100010000 => 0111011110001000
1110111100100000 => 0111011110010000
1110111101000000 => 0111011110100000
1110111110000000 => 0111011111000000
1111000011001100 => 0111100001100110
1111000011101000 => 0111100001110100
1111000011110000 => 0111100001111000
1111001010101000 => 0111100101010100
1111010010010010 => 0111101001001001
1111010100001100 => 0111101010000110
1111010110000010 => 0111101011000001
1111010110001000 => 0111101011000100
1111010110100000 => 0111101011010000
1111010111000000 => 0111101011100000
1111011000001100 => 0111101100000110
1111011010010000 => 0111101101001000
1111011011000000 => 0111101101100000
1111011100000010 => 0111101110000001
1111011100000100 => 0111101110000010
1111011100001000 => 0111101110000100
1111011100010000 => 0111101110001000
1111011101000000 => 0111101110100000
1111011110000000 => 0111101111000000
1111100010001100 => 0111110001000110
1111100011000010 => 0111110001100001
1111100011001000 => 0111110001100100
1111100011100000 => 0111110001110000
1111100100001100 => 0111110010000110
1111100110000010 => 0111110011000001
1111100110001000 => 0111110011000100
1111100111000000 => 0111110011100000
1111101000001100 => 0111110100000110
1111101010000010 => 0111110101000001
1111101010000100 => 0111110101000010
1111101010100000 => 0111110101010000
1111101011000000 => 0111110101100000
1111101100000010 => 0111110110000001
1111101100000100 => 0111110110000010
1111101100001000 => 0111110110000100
1111101100010000 => 0111110110001000
1111101100100000 => 0111110110010000
1111101101000000 => 0111110110100000
1111101110000000 => 0111110111000000
1111110000001100 => 0111111000000110
1111110001000010 => 0111111000100001
1111110001000100 => 0111111000100010
1111110001010000 => 0111111000101000
1111110001100000 => 0111111000110000
1111110010000010 => 0111111001000001
1111110010000100 => 0111111001000010
1111110010010000 => 0111111001001000
1111110010100000 => 0111111001010000
1111110011000000 => 0111111001100000
1111110100000010 => 0111111010000001
1111110100000100 => 0111111010000010
1111110100010000 => 0111111010001000
1111110100100000 => 0111111010010000
1111110101000000 => 0111111010100000
1111110110000000 => 0111111011000000
1111111000000010 => 0111111100000001
1111111000000100 => 0111111100000010
1111111000001000 => 0111111100000100
1111111000010000 => 0111111100001000
1111111000100000 => 0111111100010000
1111111001000000 => 0111111100100000
1111111010000000 => 0111111101000000
1111111100000000 => 0111111110000000
1111111111 => 1111111111
1111111110 => 0111111111
1111111101 => 1111111110
1111111011 => 1111111101
1111111010 => 0111111101
1111110110 => 0111111011
1111110010 => 0111111001
1111101110 => 0111110111
1111101011 => 1111110101
1111101010 => 0111110101
1111100100 => 0111110010
1111100010 => 0111110001
1111100001 => 1111110000
1111011110 => 0111101111
1111010010 => 0111101001
1111000001 => 1111100000
1110111110 => 0111011111
1110111011 => 1111011101
1110110100 => 0111011010
1110101111 => 1111010111
1110101010 => 0111010101
1110100001 => 1111010000
1110011110 => 0111001111
1110011100 => 0111001110
1110010110 => 0111001011
1110010011 => 1111001001
1110010001 => 1111001000
1110010000 => 0111001000
1110001001 => 1111000100
1110001000 => 0111000100
1110000101 => 1111000010
1110000011 => 1111000001
1110000010 => 0111000001
1110000001 => 1111000000
1101111110 => 0110111111
1101111101 => 1110111110
1101111001 => 1110111100
1101110001 => 1110111000
1101100001 => 1110110000
1101010001 => 1110101000
1101010000 => 0110101000
1101001110 => 0110100111
1101001001 => 1110100100
1101001000 => 0110100100
1101000101 => 1110100010
1101000011 => 1110100001
1101000010 => 0110100001
1101000001 => 1110100000
1100111101 => 1110011110
1100111001 => 1110011100
1100110001 => 1110011000
1100101001 => 1110010100
1100100110 => 0110010011
1100100101 => 1110010010
1100100100 => 0110010010
1100100011 => 1110010001
1100100001 => 1110010000
1100011111 => 1110001111
1100011101 => 1110001110
1100011100 => 0110001110
1100011010 => 0110001101
1100011001 => 1110001100
1100010110 => 0110001011
1100010101 => 1110001010
1100010011 => 1110001001
1100010010 => 0110001001
1100010001 => 1110001000
1100010000 => 0110001000
1100001111 => 1110000111
1100001101 => 1110000110
1100001011 => 1110000101
1100001001 => 1110000100
1100001000 => 0110000100
1100000111 => 1110000011
1100000110 => 0110000011
1100000101 => 1110000010
1100000011 => 1110000001
1100000010 => 0110000001
1100000001 => 1110000000
1100000000 => 0110000000
1011111111 => 1101111111
1011111110 => 0101111111
1011111101 => 1101111110
1011111100 => 0101111110
1011111011 => 1101111101
1011111010 => 0101111101
1011111000 => 0101111100
1011110100 => 0101111010
1011101111 => 1101110111
1011101110 => 0101110111
1011101010 => 0101110101
1011100110 => 0101110011
1011100001 => 1101110000
1011100000 => 0101110000
1011011111 => 1101101111
1011011100 => 0101101110
1011010110 => 0101101011
1011010011 => 1101101001
1011010001 => 1101101000
1011010000 => 0101101000
1011001001 => 1101100100
1011001000 => 0101100100
1011000101 => 1101100010
1011000011 => 1101100001
1011000001 => 1101100000
1011000000 => 0101100000
1010111111 => 1101011111
1010111110 => 0101011111
1010111010 => 0101011101
1010110001 => 1101011000
1010101111 => 1101010111
1010101110 => 0101010111
1010101011 => 1101010101
1010101001 => 1101010100
1010101000 => 0101010100
1010100110 => 0101010011
1010100101 => 1101010010
1010100100 => 0101010010
1010100011 => 1101010001
1010100000 => 0101010000
1010011111 => 1101001111
1010011101 => 1101001110
1010011100 => 0101001110
1010011010 => 0101001101
1010011001 => 1101001100
1010011000 => 0101001100
1010010111 => 1101001011
1010010110 => 0101001011
1010010101 => 1101001010
1010010011 => 1101001001
1010010000 => 0101001000
1010001111 => 1101000111
1010001110 => 0101000111
1010001101 => 1101000110
1010001011 => 1101000101
1010001000 => 0101000100
1010000111 => 1101000011
1010000101 => 1101000010
1010000011 => 1101000001
1010000010 => 0101000001
1010000001 => 1101000000
1010000000 => 0101000000
1001111111 => 1100111111
1001111110 => 0100111111
1001111101 => 1100111110
1001111100 => 0100111110
1001111000 => 0100111100
1001110110 => 0100111011
1001110100 => 0100111010
1001110011 => 1100111001
1001110001 => 1100111000
1001101100 => 0100110110
1001101010 => 0100110101
1001101001 => 1100110100
1001101000 => 0100110100
1001100110 => 0100110011
1001100101 => 1100110010
1001100011 => 1100110001
1001011110 => 0100101111
1001011100 => 0100101110
1001011011 => 1100101101
1001011010 => 0100101101
1001011001 => 1100101100
1001010110 => 0100101011
1001010101 => 1100101010
1001010100 => 0100101010
1001010011 => 1100101001
1001001111 => 1100100111
1001001110 => 0100100111
1001001101 => 1100100110
1001001011 => 1100100101
1001001010 => 0100100101
1001001000 => 0100100100
1001000111 => 1100100011
1001000000 => 0100100000
1000111110 => 0100011111
1000111101 => 1100011110
1000111100 => 0100011110
1000111010 => 0100011101
1000111001 => 1100011100
1000111000 => 0100011100
1000110110 => 0100011011
1000110101 => 1100011010
1000110011 => 1100011001
1000101110 => 0100010111
1000101101 => 1100010110
1000101100 => 0100010110
1000101011 => 1100010101
1000100111 => 1100010011
1000100110 => 0100010011
1000100101 => 1100010010
1000100011 => 1100010001
1000011110 => 0100001111
1000011101 => 1100001110
1000011011 => 1100001101
1000010111 => 1100001011
1000010110 => 0100001011
1000010001 => 1100001000
1000010000 => 0100001000
1000001111 => 1100000111
1000001110 => 0100000111
1000001101 => 1100000110
1000001010 => 0100000101
1000001000 => 0100000100
1000000110 => 0100000011
1000000101 => 1100000010
1000000100 => 0100000010
1000000011 => 1100000001
1000000010 => 0100000001
1000000001 => 1100000000
1000000000 => 0100000000
10000000000 => 01000000000
10000000010 => 01000000001
10000000110 => 01000000011
10000001110 => 01000000111
10000011110 => 01000001111
10000111110 => 01000011111
10001111110 => 01000111111
10011111110 => 01001111111
10111111110 => 01011111111
11111111110 => 01111111111
10000000100 => 01000000010
10000001010 => 01000000101
10000010110 => 01000001011
10000101110 => 01000010111
100000111110 => 010000011111
10001011110 => 01000101111
10010111110 => 01001011111
10101111110 => 01010111111
11011111110 => 01101111111
101111111110 => 010111111111
100001011110 => 010000101111
100101111110 => 010010111111
11101111110 => 01110111111
10000010000 => 01000001000
10000100010 => 01000010001
100010011110 => 010001001111
100001101110 => 010000110111
10101011110 => 01010101111
10111011110 => 01011101111
11110111110 => 01111011111
111011111110 => 011101111111
10000100000 => 01000010000
10001000010 => 01000100001
10000100100 => 01000010010
100001000110 => 010000100011
10001001010 => 01000100101
100100011110 => 010010001111
100010101110 => 010001010111
100001110110 => 010000111011
10101101110 => 01010110111
101010111110 => 010101011111
100111011110 => 010011101111
11100111110 => 01110011111
11011011110 => 01101101111
10111101110 => 01011110111
11111011110 => 01111101111
100000100000 => 010000010000
10001000000 => 01000100000
10001000100 => 01000100010
10000101000 => 01000010100
10010001010 => 01001000101
10001010010 => 01000101001
101000011110 => 010100001111
100100101110 => 010010010111
100011001110 => 010001100111
100010110110 => 010001011011
100001111010 => 010000111101
11010011110 => 01101001111
10110101110 => 01011010111
10101110110 => 01010111011
11101011110 => 01110101111
11011101110 => 01101110111
10111110110 => 01011111011
11111101110 => 01111110111
111110111110 => 011111011111
1000000100000 => 0100000010000
1000001000010 => 0100000100001
10010000100 => 01001000010
10001001000 => 01000100100
100010001010 => 010001000101
100001001100 => 010000100110
10010010010 => 01001001001
10001010100 => 01000101010
101000101110 => 010100010111
10010101010 => 01001010101
100101001110 => 010010100111
100100110110 => 010010011011
100011010110 => 010001101011
100010111010 => 010001011101
100001111100 => 010000111110
11001001110 => 01100100111
10101010110 => 01010101011
11010101110 => 01101010111
10110110110 => 01011011011
101101011110 => 010110101111
10101111010 => 01010111101
101011101110 => 010101110111
100111110110 => 010011111011
11110011110 => 01111001111
11101101110 => 01110110111
11011110110 => 01101111011
10111111010 => 01011111101
11111110110 => 01111111011
1000001000100 => 0100000100010
10100000000 => 01010000000
11000000010 => 01100000001
10010001000 => 01001000100
10001010000 => 01000101000
10100010010 => 01010001001
10010100010 => 01001010001
10010010100 => 01001001010
11000100110 => 01100010011
110000101110 => 011000010111
10100101010 => 01010010101
101001001110 => 010100100111
101000110110 => 010100011011
100110001110 => 010011000111
100101010110 => 010010101011
100100111010 => 010010011101
100011100110 => 010001110011
100011011010 => 010001101101
100010111100 => 010001011110
10101011010 => 01010101101
11010110110 => 01101011011
10111010110 => 01011101011
10110111010 => 01011011101
11110101110 => 01111010111
11101110110 => 01110111011
10111111100 => 01011111110
11111111010 => 01111111101
111111101110 => 011111110111
0000111110 => 0000011111
0001111010 => 0000111101
0001111100 => 0000111110
0001110110 => 0000111011
0011110010 => 0001111001
0011110100 => 0001111010
0010111010 => 0001011101
0010111100 => 0001011110
0011111000 => 0001111100
0001101110 => 0000110111
0011101010 => 0001110101
0011101100 => 0001110110
0011100110 => 0001110011
0111100010 => 0011110001
0111100100 => 0011110010
0100111010 => 0010011101
0100111100 => 0010011110
0111101000 => 0011110100
0010110110 => 0001011011
0110110010 => 0011011001
0110110100 => 0011011010
0101101010 => 0010110101
0101101100 => 0010110110
0110111000 => 0011011100
0101110010 => 0010111001
0101110100 => 0010111010
0101111000 => 0010111100
0111110000 => 0011111000
0101010101 => 1010101010
0000011111 => 1000001111
0100001111 => 1010000111
0000110111 => 1000011011
0000101111 => 1000010111
0101000111 => 1010100011
0000111011 => 1000011101
0100011011 => 1010001101
0001101011 => 1000110101
0001011011 => 1000101101
0100010111 => 1010001011
0001100111 => 1000110011
0001001111 => 1000100111
0001010111 => 1000101011
0101010011 => 1010101001
0000111101 => 1000011110
0100011101 => 1010001110
0001101101 => 1000110110
0001011101 => 1000101110
0101001101 => 1010100110
0001110101 => 1000111010
0100110101 => 1010011010
0011010101 => 1001101010
0010110101 => 1001011010
0100101101 => 1010010110
0011000111 => 1001100011
0010001111 => 1001000111
0010101101 => 1001010110
0101001011 => 1010100101
0001110011 => 1000111001
0100110011 => 1010011001
0011010011 => 1001101001
0010110011 => 1001011001
0100100111 => 1010010011
0011001101 => 1001100110
0010011101 => 1001001110
0010100111 => 1001010011
0100101011 => 1010010101
0011001011 => 1001100101
0010011011 => 1001001101
0010010111 => 1001001011
0010101011 => 1001010101
0111100001 => 1011110000
0111000101 => 1011100010
0110110001 => 1011011000
0111010001 => 1011101000
0110010101 => 1011001010
0101110001 => 1010111000
0101100101 => 1010110010
0101011001 => 1010101100
0101101001 => 1010110100
0110100101 => 1011010010
0110101001 => 1011010100
0110011001 => 1011001100
0111001001 => 1011100100
0111011000 => 0011101100
0110101100 => 0011010110
0111001100 => 0011100110
0111010100 => 0011101010
0101011100 => 0010101110
0101010110 => 0010101011
0101011010 => 0010101101
0111000110 => 0011100011
0110011100 => 0011001110
0110010110 => 0011001011
0110011010 => 0011001101
0101100110 => 0010110011
0111001010 => 0011100101
0110100110 => 0011010011
0111010010 => 0011101001
0110101010 => 0011010101
00001000001 => 10000100000
000011011110 => 000001101111
010000011111 => 101000001111
000001111101 => 100000111110
111100000101 => 111110000010
011111000001 => 101111100000
010111110000 => 001011111000
0011011100 => 0001101110
0001011110 => 0000101111
0011010110 => 0001101011
0010101110 => 0001010111
0011001110 => 0001100111
0010011110 => 0001001111
0100101110 => 0010010111
0101001110 => 0010100111
0110001110 => 0011000111
0100011110 => 0010001111
0011011001 => 1001101100
0011011010 => 0001101101
0100110110 => 0010011011
0010111001 => 1001011100
0001111001 => 1000111100
0011110001 => 1001111000
0110010011 => 1011001001
0110001011 => 1011000101
0110000111 => 1011000011
0111000011 => 1011100001
0011101001 => 1001110100
0011100101 => 1001110010
0100111001 => 1010011100
0011100011 => 1001110001
0101100011 => 1010110001
0110100011 => 1011010001
10110110110110100000 => 01011011011011010000
10110110111010010000 => 01011011011101001000
10110111010011010000 => 01011011101001101000
10110111011010001000 => 01011011101101000100
10110111101001001000 => 01011011110100100100
10111010011011010000 => 01011101001101101000
10111010011101001000 => 01011101001110100100
10111011010001101000 => 01011101101000110100
10111011011010000100 => 01011101101101000010
10111011101001000100 => 01011101110100100010
10111101001001101000 => 01011110100100110100
10111101001101000100 => 01011110100110100010
10111101101000100100 => 01011110110100010010
10111110100100100100 => 01011111010010010010
11010011011011010000 => 01101001101101101000
11010011011101001000 => 01101001101110100100
11010011101001101000 => 01101001110100110100
11010011101101000100 => 01101001110110100010
11010011110100100100 => 01101001111010010010
11011010001101101000 => 01101101000110110100
11011010001110100100 => 01101101000111010010
11011011010000110100 => 01101101101000011010
11011011011010000010 => 01101101101101000001
11011011101001000010 => 01101101110100100001
11011101001000110100 => 01101110100100011010
11011101001101000010 => 01101110100110100001
11011101101000100010 => 01101110110100010001
11011110100100100010 => 01101111010010010001
11101001001101101000 => 01110100100110110100
11101001001110100100 => 01110100100111010010
11101001101000110100 => 01110100110100011010
11101001101101000010 => 01110100110110100001
11101001110100100010 => 01110100111010010001
11101101000100110100 => 01110110100010011010
11101101000110100010 => 01110110100011010001
11101101101000010010 => 01110110110100001001
11101110100100010010 => 01110111010010001001
11110100100100110100 => 01111010010010011010
11110100100110100010 => 01111010010011010001
11110100110100010010 => 01111010011010001001
11110110100010010010 => 01111011010001001001
11111010010010010010 => 01111101001001001001
10100100010000 => 01010010001000
111111110000000010 => 011111111000000001
101111111100000000 => 010111111110000000
11111111100000000010 => 01111111110000000001
111111101000000010 => 011111110100000001
101111111010000000 => 010111111101000000
10111111111000000000 => 01011111111100000000
1111111111000000000010 => 0111111111100000000001
11111111010000000010 => 01111111101000000001
111111100100000010 => 011111110010000001
111111011000000010 => 011111101100000001
101111111001000000 => 010111111100100000
101111110110000000 => 010111111011000000
10111111110100000000 => 01011111111010000000
1011111111110000000000 => 0101111111111000000000
0000000010 => 0000000001
00000000010 => 00000000001
0100000100 => 0010000010
0000000001 => 1000000000
0100000001 => 1010000000
0110000001 => 1011000000
0111000001 => 1011100000
0111110001 => 1011111000
0111111001 => 1011111100
0111111101 => 1011111110
0111111111 => 1011111111
00000000001 => 10000000000
01000000001 => 10100000000
0010000001 => 1001000000
01100000001 => 10110000000
0101000001 => 1010100000
01110000001 => 10111000000
0110100001 => 1011010000
01111000001 => 10111100000
01111100001 => 10111110000
0111101001 => 1011110100
01111110001 => 10111111000
0111110101 => 1011111010
01111111001 => 10111111100
0111111011 => 1011111101
01111111101 => 10111111110
01111111111 => 10111111111
0000000101 => 1000000010
0000001101 => 1000000110
0000011101 => 1000001110
0001111101 => 1000111110
0011111101 => 1001111110
00000000101 => 10000000010
0000001001 => 1000000100
00000001101 => 10000000110
0000010101 => 1000001010
00000011101 => 10000001110
0000101101 => 1000010110
00000111101 => 10000011110
00001111101 => 10000111110
0010111101 => 1001011110
00011111101 => 10001111110
0101111101 => 1010111110
00111111101 => 10011111110
11111111101 => 11111111110
0100000000 => 0010000000
0100000011 => 1010000001
0100000111 => 1010000011
0100011111 => 1010001111
0100111111 => 1010011111
0101111111 => 1010111111
01000000000 => 00100000000
0100000010 => 0010000001
01000000011 => 10100000001
0100000101 => 1010000010
01000000111 => 10100000011
0100001011 => 1010000101
01000001111 => 10100000111
01000011111 => 10100001111
0100101111 => 1010010111
01000111111 => 10100011111
0101011111 => 1010101111
01001111111 => 10100111111
0110111111 => 1011011111
01011111111 => 10101111111
0000000000 => 0000000000
101010101010101100 => 010101010101010110
101010101010110100 => 010101010101011010
10101010101010101100 => 01010101010101010110
110010101010101100 => 011001010101010110
110010101010110100 => 011001010101011010
10101010101010110100 => 01010101010101011010
1010101010101010101100 => 0101010101010101010110
11001010101010101100 => 01100101010101010110
101100101010101100 => 010110010101010110
110100101010101100 => 011010010101010110
101100101010110100 => 010110010101011010
110100101010110100 => 011010010101011010
11001010101010110100 => 01100101010101011010
1010101010101010110100 => 0101010101010101011010
110101010101010100 => 011010101010101010
111000101010101010 => 011100010101010101
111001010101010100 => 011100101010101010
11010101010101010100 => 01101010101010101010
11100010101010101010 => 01110001010101010101
101110001010101010 => 010111000101010101
110110001010101010 => 011011000101010101
110110010101010100 => 011011001010101010
111010010101010100 => 011101001010101010
11100101010101010100 => 01110010101010101010
1101010101010101010100 => 0110101010101010101010
101011111110000000 => 010101111111000000
101111111000000010 => 010111111100000001
10101111111100000000 => 01010111111110000000
101100111111000000 => 010110011111100000
110011111100000010 => 011001111110000001
10111111110000000010 => 01011111111000000001
110010101010101010 => 011001010101010101
110101010101011000 => 011010101010101100
11001010101010101010 => 01100101010101010101
11010101010101011000 => 01101010101010101100
110101010101101000 => 011010101010110100
110101010101100100 => 011010101010110010
110010101010110010 => 011001010101011001
1100101010101010101010 => 0110010101010101010101
101011111100000010 => 010101111110000001
101111110000001010 => 010111111000000101
10101111111000000010 => 01010111111100000001
101011111010000010 => 010101111101000001
101111101000001010 => 010111110100000101
10111111100000001010 => 01011111110000000101
1010111111110000000010 => 0101011111111000000001
10101111110100000010 => 01010111111010000001
101011110110000010 => 010101111011000001
101011111001000010 => 010101111100100001
101111011000001010 => 010111101100000101
101111100100001010 => 010111110010000101
10111111010000001010 => 01011111101000000101
1011111111000000001010 => 0101111111100000000101
111111110000000100 => 011111111000000010
111111101000000100 => 011111110100000010
11111111100000000100 => 01111111110000000010
101010101011001100 => 010101010101100110
101010101011100100 => 010101010101110010
111111011000000100 => 011111101100000010
111111100100000100 => 011111110010000010
11111111010000000100 => 01111111101000000010
1111111111000000000100 => 0111111111100000000010
111001010101010010 => 011100101010101001
110011010101010100 => 011001101010101010
110101010101001100 => 011010101010100110
101101010101011000 => 010110101010101100
111111110100000000 => 011111111010000000
111111110010000000 => 011111111001000000
11111111101000000000 => 01111111110100000000
11111111100100000000 => 01111111110010000000
1111111111010000000000 => 0111111111101000000000
110111111010000000 => 011011111101000000
110111111001000000 => 011011111100100000
10111111110010000000 => 01011111111001000000
1111111111001000000000 => 0111111111100100000000
111010101010101000 => 011101010101010100
110101010101010010 => 011010101010101001
111010101010100010 => 011101010101010001
11101010101010101000 => 01110101010101010100
11010101010101010010 => 01101010101010101001
110101010101001010 => 011010101010100101
111010101010001010 => 011101010101000101
111010101010100100 => 011101010101010010
11101010101010100010 => 01110101010101010001
1110101010101010101000 => 0111010101010101010100
110111111100000000 => 011011111110000000
101111110000001100 => 010111111000000110
111111110000001000 => 011111111000000100
111011111100000000 => 011101111110000000
11011111111000000000 => 01101111111100000000
111111011010000000 => 011111101101000000
11111110110100000000 => 01111111011010000000
111110111010000000 => 011111011101000000
111111011001000000 => 011111101100100000
111110111000000010 => 011111011100000001
111111001100000010 => 011111100110000001
11111110110000000010 => 01111111011000000001
110011111110000000 => 011001111111000000
111111111000000000 => 011111111100000000
11001111111100000000 => 01100111111110000000
110011111101000000 => 011001111110100000
11111111110000000000 => 01111111111000000000
1100111111111000000000 => 0110011111111100000000
11001111111010000000 => 01100111111101000000
110011111011000000 => 011001111101100000
110011111100100000 => 011001111110010000
111111101100000000 => 011111110110000000
1111111111100000000000 => 0111111111110000000000
111111100000001100 => 011111110000000110
111111010000001100 => 011111101000000110
11111111000000001100 => 01111111100000000110
111110110000001100 => 011111011000000110
111111001000001100 => 011111100100000110
11111110100000001100 => 01111111010000000110
1111111110000000001100 => 0111111111000000000110
11000000000 => 01100000000
10000000001 => 11000000000
00010100001 => 10001010000
0000010000001 => 1000001000000
100000001000000 => 010000000100000
1000001010000 => 0100000101000
00100100001 => 10010010000
00010010001 => 10001001000
0000101000001 => 1000010100000
000000100000001 => 100000010000000
10000000010000000 => 01000000001000000
100000010100000 => 010000001010000
1000010010000 => 0100001001000
1000001001000 => 0100000100100
01000001000 => 00100000100
01000100001 => 10100010000
00101010001 => 10010101000
0001001000001 => 1000100100000
00010000010 => 00001000001
00010001001 => 10001000100
0000100100001 => 1000010010000
000001010000001 => 100000101000000
00000001000000001 => 10000000100000000
1000000000100000000 => 0100000000010000000
10000000101000000 => 01000000010100000
100000100100000 => 010000010010000
100000010010000 => 010000001001000
1000100010000 => 0100010001000
1000010101000 => 0100001010100
10100001000 => 01010000100
10000100001 => 11000010000
01000010100 => 00100001010
01001010001 => 10100101000
0010001000001 => 1001000100000
00100000100 => 00010000010
00100010001 => 10010001000
00101000010 => 00010100001
00101001001 => 10010100100
0001010100001 => 1000101010000
000010010000001 => 100001001000000
00010000101 => 10001000010
0000100010001 => 1000010001000
000001001000001 => 100000100100000
00000010100000001 => 10000001010000000
0000000010000000001 => 1000000001000000000
100000000001000000000 => 010000000000100000000
1000000001010000000 => 0100000000101000000
10000001001000000 => 01000000100100000
10000000100100000 => 01000000010010000
100001000100000 => 010000100010000
100000101010000 => 010000010101000
100000010001000 => 010000001000100
1001000010000 => 0100100001000
1000100101000 => 0100010010100
1000010001000 => 0100001000100
1000010100100 => 0100001010010
0100000010000 => 0010000001000
10100010100 => 01010001010
10010100100 => 01001010010
10001010001 => 11000101000
0100001000001 => 1010000100000
01000100100 => 00100010010
01000010010 => 00100001001
01010000100 => 00101000010
01010010001 => 10101001000
01001000010 => 00100100001
01001001001 => 10100100100
0010010100001 => 1001001010000
000100010000001 => 100010001000000
00100001010 => 00010000101
00100100010 => 00010010001
00100101001 => 10010010100
0001000100001 => 1000100010000
00101000101 => 10010100010
0001010010001 => 1000101001000
000010101000001 => 100001010100000
00000100100000001 => 10000010010000000
0000100000010 => 0000010000001
0000100001001 => 1000010000100
000001000100001 => 100000100010000
00000010010000001 => 10000001001000000
0000000101000000001 => 1000000010100000000
000000000100000000001 => 100000000010000000000
00000110111110 => 00000011011111
000111011100 => 000011101110
100011111000 => 010001111100
10000011111100 => 01000001111110
0000001101111110 => 0000000110111111
00001110111100 => 00000111011110
000111011010 => 000011101101
001011011100 => 000101101110
100011110100 => 010001111010
100101111000 => 010010111100
10000111111000 => 01000011111100
1000000111111100 => 0100000011111110
000000011011111110 => 000000001101111111
0000011101111100 => 0000001110111110
00001110111010 => 00000111011101
00010110111100 => 00001011011110
000111010110 => 000011101011
001111011000 => 000111101100
010011011100 => 001001101110
000101101110 => 000010110111
100011101100 => 010001110110
100111110000 => 010011111000
10000111110100 => 01000011111010
010001111010 => 001000111101
101001111000 => 010100111100
10001011111000 => 01000101111100
1000001111111000 => 0100000111111100
100000001111111100 => 010000000111111110
00000000110111111110 => 00000000011011111111
000000111011111100 => 000000011101111110
0000011101111010 => 0000001110111101
0000101101111100 => 0000010110111110
00001110110110 => 00000111011011
00011110111000 => 00001111011100
00100110111100 => 00010011011110
000111001110 => 000011100111
001111010100 => 000111101010
001011011010 => 000101101101
010111011000 => 001011101100
100011011100 => 010001101110
001101101100 => 000110110110
100111101000 => 010011110100
10000111101100 => 01000011110110
001001110110 => 000100111011
100101110100 => 010010111010
010011110010 => 001001111001
10001111110000 => 01000111111000
1000001111110100 => 0100000111111010
110001111000 => 011000111100
10010011111000 => 01001001111100
1000010111111000 => 0100001011111100
100000011111111000 => 010000001111111100
10000000011111111100 => 01000000001111111110
0000000001101111111110 => 0000000000110111111111
00000001110111111100 => 00000000111011111110
000000111011111010 => 000000011101111101
000001011011111100 => 000000101101111110
0000011101110110 => 0000001110111011
0000111101111000 => 0000011110111100
0001001101111100 => 0000100110111110
00001110101110 => 00000111010111
00011110110100 => 00001111011010
00010110111010 => 00001011011101
00101110111000 => 00010111011100
01000110111100 => 00100011011110
00001011011110 => 00000101101111
001111001100 => 000111100110
001111010010 => 000111101001
010111010100 => 001011101010
011011011000 => 001101101100
100111011000 => 010011101100
10000111011100 => 01000011101110
001101101010 => 000110110101
010101101100 => 001010110110
001011100110 => 000101110011
100111100100 => 010011110010
010011101010 => 001001110101
10001111101000 => 01000111110100
1000001111101100 => 0100000111110110
011001110100 => 001100111010
010101110010 => 001010111001
10001011110100 => 01000101111010
10010111110000 => 01001011111000
1000011111110000 => 0100001111111000
100000011111110100 => 010000001111111010
01000011111010 => 00100001111101
10100011111000 => 01010001111100
1000100111111000 => 0100010011111100
100000101111111000 => 010000010111111100
10000000111111111000 => 01000000011111111100
1000000000111111111100 => 0100000000011111111110
00000011111101 => 10000001111110
000010111101 => 100001011110
010000101111 => 101000010111
01000000111111 => 10100000011111
0000000111111101 => 1000000011111110
00000101111101 => 10000010111110
000011011101 => 100001101110
000100111101 => 100010011110
010000110111 => 101000011011
010001001111 => 101000100111
01000001011111 => 10100000101111
0100000001111111 => 1010000000111111
000000001111111101 => 100000000111111110
0000001011111101 => 1000000101111110
00000110111101 => 10000011011110
00001001111101 => 10000100111110
000011101101 => 100001110110
000101011101 => 100010101110
001000111101 => 100100011110
000011110011 => 100001111001
010000111011 => 101000011101
010001010111 => 101000101011
01000001101111 => 10100000110111
001100001111 => 100110000111
010010001111 => 101001000111
01000010011111 => 10100001001111
0100000010111111 => 1010000001011111
010000000011111111 => 101000000001111111
00000000011111111101 => 10000000001111111110
000000010111111101 => 100000001011111110
0000001101111101 => 1000000110111110
0000010011111101 => 1000001001111110
00000111011101 => 10000011101110
00001010111101 => 10000101011110
00010001111101 => 10001000111110
000011110101 => 100001111010
000101101101 => 100010110110
000110011101 => 100011001110
001001011101 => 100100101110
010000111101 => 101000011110
000101110011 => 100010111001
010001011011 => 101000101101
01000001110111 => 10100000111011
000111000111 => 100011100011
010001100111 => 101000110011
001100010111 => 100110001011
010010010111 => 101001001011
01000010101111 => 10100001010111
0100000011011111 => 1010000001101111
010100001111 => 101010000111
01000100011111 => 10100010001111
0100000100111111 => 1010000010011111
010000000101111111 => 101000000010111111
01000000000111111111 => 10100000000011111111
0000000000111111111101 => 1000000000011111111110
00000000101111111101 => 10000000010111111110
000000011011111101 => 100000001101111110
000000100111111101 => 100000010011111110
0000001110111101 => 1000000111011110
0000010101111101 => 1000001010111110
0000100011111101 => 1000010001111110
00000111101101 => 10000011110110
00001011011101 => 10000101101110
00001100111101 => 10000110011110
00010010111101 => 10001001011110
00100001111101 => 10010000111110
00000111110011 => 10000011111001
000101110101 => 100010111010
000110101101 => 100011010110
001001101101 => 100100110110
001010011101 => 100101001110
010001011101 => 101000101110
01000001111011 => 10100000111101
000110110011 => 100011011001
001001110011 => 100100111001
000111001011 => 100011100101
010001101011 => 101000110101
001100011011 => 100110001101
010010011011 => 101001001101
01000010110111 => 10100001011011
0100000011101111 => 1010000001110111
001011000111 => 100101100011
001100100111 => 100110010011
010010100111 => 101001010011
01000011001111 => 10100001100111
010100010111 => 101010001011
01000100101111 => 10100010010111
0100000101011111 => 1010000010101111
010000000110111111 => 101000000011011111
00110000011111 => 10011000001111
01001000011111 => 10100100001111
0100001000111111 => 1010000100011111
010000001001111111 => 101000000100111111
01000000001011111111 => 10100000000101111111
0100000000001111111111 => 1010000000000111111111
01111110000001 => 10111111000000
011110100001 => 101111010000
111010000101 => 111101000010
11111000000101 => 11111100000010
0111111100000001 => 1011111110000000
01111101000001 => 10111110100000
011101100001 => 101110110000
011110010001 => 101111001000
110110000101 => 111011000010
111001000101 => 111100100010
11110100000101 => 11111010000010
1111110000000101 => 1111111000000010
011111111000000001 => 101111111100000000
0111111010000001 => 1011111101000000
01111011000001 => 10111101100000
01111100100001 => 10111110010000
011011100001 => 101101110000
011101010001 => 101110101000
011110001001 => 101111000100
100111100001 => 110011110000
101110000101 => 110111000010
110101000101 => 111010100010
11101100000101 => 11110110000010
111000011001 => 111100001100
111000100101 => 111100010010
11110010000101 => 11111001000010
1111101000000101 => 1111110100000010
111111100000000101 => 111111110000000010
01111111110000000001 => 10111111111000000000
011111110100000001 => 101111111010000000
0111110110000001 => 1011111011000000
0111111001000001 => 1011111100100000
01110111000001 => 10111011100000
01111010100001 => 10111101010000
01111100010001 => 10111110001000
010111100001 => 101011110000
011011010001 => 101101101000
011100110001 => 101110011000
011101001001 => 101110100100
011110000101 => 101111000010
100111010001 => 110011101000
101101000101 => 110110100010
11011100000101 => 11101110000010
110001110001 => 111000111000
110011000101 => 111001100010
110100011001 => 111010001100
110100100101 => 111010010010
11101010000101 => 11110101000010
1111011000000101 => 1111101100000010
111000010101 => 111100001010
11110001000101 => 11111000100010
1111100100000101 => 1111110010000010
111111010000000101 => 111111101000000010
11111111000000000101 => 11111111100000000010
0111111111100000000001 => 1011111111110000000000
01111111101000000001 => 10111111110100000000
011111101100000001 => 101111110110000000
011111110010000001 => 101111111001000000
0111101110000001 => 1011110111000000
0111110101000001 => 1011111010100000
0111111000100001 => 1011111100010000
01101111000001 => 10110111100000
01110110100001 => 10111011010000
01111001100001 => 10111100110000
01111010010001 => 10111101001000
01111100001001 => 10111110000100
10011111000001 => 11001111100000
010111010001 => 101011101000
011010110001 => 101101011000
011011001001 => 101101100100
011100101001 => 101110010100
011101000101 => 101110100010
10111100000101 => 11011110000010
100110110001 => 110011011000
100111001001 => 110011100100
101001110001 => 110100111000
101011000101 => 110101100010
101100011001 => 110110001100
101100100101 => 110110010010
11011010000101 => 11101101000010
1110111000000101 => 1111011100000010
110001101001 => 111000110100
110010011001 => 111001001100
110010100101 => 111001010010
11100110000101 => 11110011000010
110100010101 => 111010001010
11101001000101 => 11110100100010
1111010100000101 => 1111101010000010
111110110000000101 => 111111011000000010
11110000011001 => 11111000001100
11110000100101 => 11111000010010
1111100010000101 => 1111110001000010
111111001000000101 => 111111100100000010
11111110100000000101 => 11111111010000000010
1111111110000000000101 => 1111111111000000000010
01011111100000 => 00101111110000
010111101000 => 001011110100
0101111111000000 => 0010111111100000
01011111010000 => 00101111101000
010111100100 => 001011110010
010111111110000000 => 001011111111000000
0101111110100000 => 0010111111010000
01011110110000 => 00101111011000
01011111001000 => 00101111100100
010110111000 => 001011011100
010111100010 => 001011110001
011001111000 => 001100111100
011110000110 => 001111000011
01011111111100000000 => 00101111111110000000
010111111101000000 => 001011111110100000
0101111101100000 => 0010111110110000
0101111110010000 => 0010111111001000
01011101110000 => 00101110111000
01011110101000 => 00101111010100
01011111000100 => 00101111100010
010101111000 => 001010111100
010110110100 => 001011011010
010111001100 => 001011100110
010111010010 => 001011101001
011100011100 => 001110001110
011101000110 => 001110100011
0101111111111000000000 => 0010111111111100000000
01011111111010000000 => 00101111111101000000
010111111011000000 => 001011111101100000
010111111100100000 => 001011111110010000
0101111011100000 => 0010111101110000
0101111101010000 => 0010111110101000
0101111110001000 => 0010111111000100
01011011110000 => 00101101111000
01011101101000 => 00101110110100
01011110011000 => 00101111001100
01011110100100 => 00101111010010
01011111000010 => 00101111100001
01100111110000 => 00110011111000
010101110100 => 001010111010
010110101100 => 001011010110
010110110010 => 001011011001
010111001010 => 001011100101
011001101100 => 001100110110
011001110010 => 001100111001
011010011100 => 001101001110
011011000110 => 001101100011
011100011010 => 001110001101
011100100110 => 001110010011
01111100000110 => 00111110000011
11100000001 => 11110000000
11010000001 => 11101000000
11001000001 => 11100100000
11000100001 => 11100010000
11000010001 => 11100001000
11000001001 => 11100000100
11000000101 => 11100000010
11000000011 => 11100000001
11000010010 => 01100001001
0010001100 => 0001000110
11000001000 => 01100000100
0100001000 => 0010000100
01000000100 => 00100000010
01111111011 => 10111111101
0111110111 => 1011111011
01111110101 => 10111111010
0111100111 => 1011110011
01111101001 => 10111110100
0111001011 => 1011100101
01111010001 => 10111101000
01110100001 => 10111010000
0100100011 => 1010010001
01101000001 => 10110100000
0001000011 => 1000100001
01010000001 => 10101000000
0010000010 => 0001000001
00100000001 => 10010000000
0001000001 => 1000100000
0001100001 => 1000110000
0010110001 => 1001011000
0011101101 => 1001110110
0011110111 => 1001111011
0000000100 => 0000000010
10111111101 => 11011111110
01011111101 => 10101111110
00101111101 => 10010111110
00010111101 => 10001011110
00001011101 => 10000101110
00000101101 => 10000010110
00000010101 => 10000001010
00000001001 => 10000000100
00000000100 => 00000000010
01101111111 => 10110111111
0111011111 => 1011101111
01010111111 => 10101011111
0111001111 => 1011100111
01001011111 => 10100101111
0110100111 => 1011010011
01000101111 => 10100010111
01000010111 => 10100001011
0110001001 => 1011000100
01000001011 => 10100000101
0110000100 => 0011000010
01000000101 => 10100000010
01000000010 => 00100000001
0110111001 => 1011011100
0001101001 => 1000110100
0000110001 => 1000011000
0000010001 => 1000001000
11111110010 => 01111111001
11111100010 => 01111110001
11111000010 => 01111100001
11110000010 => 01111000001
11100000010 => 01110000001
10111111111 => 11011111111
10111111000 => 01011111100
10111110000 => 01011111000
10111100000 => 01011110000
10111000000 => 01011100000
10110000000 => 01011000000
10011111101 => 11001111110
10001111101 => 11000111110
10000111101 => 11000011110
10000011101 => 11000001110
10000001101 => 11000000110
10000000101 => 11000000010
0111111010 => 0011111101
0011111010 => 0001111101
0000111010 => 0000011101
0000011010 => 0000001101
0000001010 => 0000000101
11111111011 => 11111111101
01111111010 => 00111111101
00111111010 => 00011111101
0101111010 => 0010111101
00011111010 => 00001111101
00001111010 => 00000111101
0001011010 => 0000101101
00000111010 => 00000011101
0000101010 => 0000010101
00000011010 => 00000001101
0000010010 => 0000001001
00000001010 => 00000000101
0010011111 => 1001001111
0000100111 => 1000010011
0000010011 => 1000001001
10011111111 => 11001111111
00100111111 => 10010011111
00010011111 => 10001001111
00001001111 => 10000100111
00000100111 => 10000010011
00000010011 => 10000001001
0010000000 => 0001000000
10101111111 => 11010111111
10100111111 => 11010011111
10100011111 => 11010001111
10100001111 => 11010000111
10100000111 => 11010000011
10100000011 => 11010000001
10100000001 => 11010000000
00100000000 => 00010000000
0001010101 => 1000101010
10110101010 => 01011010101
11010101010 => 01101010101
10101101010 => 01010110101
10101010100 => 01010101010
101010001110 => 010101000111
10101010010 => 01010101001
101010100110 => 010101010011
101000111010 => 010100011101
10101001010 => 01010100101
101010011010 => 010101001101
100011101010 => 010001110101
100110101010 => 010011010101
101001101010 => 010100110101
101001010110 => 010100101011
100101011010 => 010010101101
101010010110 => 010101001011
101001100110 => 010100110011
101001011010 => 010100101101
100110011010 => 010011001101
100101101010 => 010010110101
11111111100 => 01111111110
01001001010 => 00100100101
01001010010 => 00100101001
01010001010 => 00101000101
01010010010 => 00101001001
00100010010 => 00010001001
10100100010 => 01010010001
10100100100 => 01010010010
00100101010 => 00010010101
01010101010 => 00101010101
01010100010 => 00101010001
01000101010 => 00100010101
01000100010 => 00100010001
10101000100 => 01010100010
00101010010 => 00010101001
00101001010 => 00010100101
01001000100 => 00100100010
00100010101 => 10010001010
01001000101 => 10100100010
10001000101 => 11000100010
01000010001 => 10100001000
10100010001 => 11010001000
00101010100 => 00010101010
00101000100 => 00010100010
00100100100 => 00010010010
01010100100 => 00101010010
10010010001 => 11001001000
00010010100 => 00001001010
00100010100 => 00010001010
00010010010 => 00001001001
00010001010 => 00001000101
00100001001 => 10010000100
10010001001 => 11001000100
01001010101 => 10100101010
01010010100 => 00101001010
01000100101 => 10100010010
01010010101 => 10101001010
01010001000 => 00101000100
01010101001 => 10101010100
01001010100 => 00100101010
01000101001 => 10100010100
01010100101 => 10101010010
01001001000 => 00100100100
01010001001 => 10101000100
01000101000 => 00100010100
00101001000 => 00010100100
10010100101 => 11001010010
10100101001 => 11010010100
10010010101 => 11001001010
10100100101 => 11010010010
10101001001 => 11010100100
10101010101 => 11010101010
00001000010 => 00000100001
00010100010 => 00001010001
0000100010010 => 0000010001001
00010000100 => 00001000010
00001000100 => 00000100010
00010100100 => 00001010010
00100100101 => 10010010010
10001001001 => 11000100100
00001001000 => 00000100100
00001010000 => 00000101000
00010001000 => 00001000100
00100101000 => 00010010100
00010101000 => 00001010100
00100010000 => 00010001000
00000100000 => 00000010000
00010010000 => 00001001000
01000010000 => 00100001000
00100001000 => 00010000100
011111000100 => 001111100010
011111000010 => 001111100001
011101100100 => 001110110010
011101100010 => 001110110001
011011100100 => 001101110010
011011010100 => 001101101010
011011100010 => 001101110001
011011010010 => 001101101001
011111010000 => 001111101000
011111001000 => 001111100100
001111001010 => 000111100101
011101110000 => 001110111000
011111100000 => 001111110000
011101101000 => 001110110100
010101101010 => 001010110101
001111000110 => 000111100011
010011110100 => 001001111010
010011101100 => 001001110110
011011110000 => 001101111000
011011101000 => 001101110100
010011011010 => 001001101101
001101100110 => 000110110011
001011010101 => 100101101010
001101010101 => 100110101010
001011010011 => 100101101001
001101010011 => 100110101001
001011001011 => 100101100101
001011001101 => 100101100110
001101001011 => 100110100101
001101001101 => 100110100110
001001110101 => 100100111010
001010101101 => 100101010110
001100101101 => 100110010110
001101000111 => 100110100011
001010110101 => 100101011010
001100110101 => 100110011010
001001100111 => 100100110011
001001101011 => 100100110101
000110110101 => 100011011010
001010100111 => 100101010011
001010101011 => 100101010101
001100101011 => 100110010101
001010110011 => 100101011001
001100110011 => 100110011001
000111010101 => 100011101010
001000110111 => 100100011011
001000111011 => 100100011101
001001010111 => 100100101011
001001011011 => 100100101101
001010010111 => 100101001011
001010011011 => 100101001101
001100011101 => 100110001110
000111010011 => 100011101001
010101001011 => 101010100101
010101010011 => 101010101001
010011001011 => 101001100101
010011010011 => 101001101001
010100011011 => 101010001101
010010101011 => 101001010101
010010110011 => 101001011001
010100101011 => 101010010101
010100110011 => 101010011001
000110011011 => 100011001101
010100100111 => 101010010011
000110101011 => 100011010101
010101000111 => 101010100011
000100111011 => 100010011101
000101011011 => 100010101101
000101101011 => 100010110101
010001110011 => 101000111001
010101101001 => 101010110100
010101011001 => 101010101100
100101101001 => 110010110100
100101011001 => 110010101100
101001101001 => 110100110100
011001101001 => 101100110100
101001011001 => 110100101100
011001011001 => 101100101100
010111001001 => 101011100100
011010101001 => 101101010100
011010011001 => 101101001100
110001011001 => 111000101100
010110101001 => 101011010100
010110011001 => 101011001100
110011001001 => 111001100100
101011001001 => 110101100100
010110110001 => 101011011000
110010101001 => 111001010100
101010101001 => 110101010100
101010011001 => 110101001100
100110101001 => 110011010100
100110011001 => 110011001100
010101110001 => 101010111000
110110001001 => 111011000100
101110001001 => 110111000100
110101001001 => 111010100100
101101001001 => 110110100100
110100101001 => 111010010100
101100101001 => 110110010100
011100011001 => 101110001100
100101110001 => 110010111000
010101011010 => 001010101101
010101010110 => 001010101011
011001011010 => 001100101101
011001010110 => 001100101011
011010011010 => 001101001101
010110011010 => 001011001101
011010010110 => 001101001011
010110010110 => 001011001011
010110101010 => 001011010101
010110100110 => 001011010011
011100010110 => 001110001011
010101100110 => 001010110011
011100110010 => 001110011001
011010110010 => 001101011001
011100101010 => 001110010101
011010101010 => 001101010101
011010100110 => 001101010011
011001101010 => 001100110101
011001100110 => 001100110011
010101011100 => 001010101110
011101010010 => 001110101001
011101001010 => 001110100101
011011001010 => 001101100101
010111000110 => 001011100011
011001011100 => 001100101110
100101101100 => 010010110110
100111001100 => 010011100110
001111110000 => 000111111000
001011110010 => 000101111001
001101110010 => 000110111001
001111100010 => 000111110001
100111010100 => 010011101010
001101111000 => 000110111100
001101110100 => 000110111010
001011101010 => 000101110101
001011010110 => 000101101011
010100011101 => 101010001110
010001110101 => 101000111010
000101010111 => 100010101011
000110010111 => 100011001011
000110100111 => 100011010011
010001101101 => 101000110110
000101001111 => 100010100111
000101100111 => 100010110011
001001001111 => 100100100111
001010001111 => 100101000111
000111001101 => 100011100110
010010011101 => 101001001110
000011010111 => 100001101011
000011011011 => 100001101101
000011101011 => 100001110101
010011000111 => 101001100011
110001010101 => 111000101010
101100010101 => 110110001010
011100010101 => 101110001010
100111000101 => 110011100010
010111000101 => 101011100010
110101010001 => 111010101000
110100110001 => 111010011000
110010110001 => 111001011000
101010110001 => 110101011000
011011000101 => 101101100010
111001010001 => 111100101000
110011010001 => 111001101000
111001001001 => 111100100100
101100110001 => 110110011000
111000101001 => 111100010100
011001110001 => 101100111000
011101010100 => 001110101010
011101001100 => 001110100110
011100101100 => 001110010110
011010101100 => 001101010110
011110010100 => 001111001010
011100110100 => 001110011010
011110010010 => 001111001001
011011001100 => 001101100110
011110001010 => 001111000101
010110011100 => 001011001110
101001110100 => 010100111010
010011001101 => 101001100110
110001100101 => 111000110010
011001100101 => 101100110010
001111100100 => 000111110010
000111100110 => 000011110011
001111101000 => 000111110100
000111101010 => 000011110101
001011101100 => 000101110110
000111101100 => 000011110110
000111110010 => 000011111001
000010111011 => 100001011101
001000101111 => 100100010111
100101010101 => 110010101010
100101100101 => 110010110010
101011010001 => 110101101000
100110010101 => 110011001010
101001010101 => 110100101010
101011100001 => 110101110000
101010100101 => 110101010010
101101010001 => 110110101000
100110100101 => 110011010010
101010010101 => 110101001010
101101100001 => 110110110000
101001100101 => 110100110010
101110010001 => 110111001000
101110100001 => 110111010000
110101100001 => 111010110000
011001010101 => 101100101010
011010110100 => 001101011010
011010010101 => 101101001010
011010111000 => 001101011100
011010100101 => 101101010010
011101011000 => 001110101100
010100101101 => 101010010110
010010110101 => 101001011010
010101001101 => 101010100110
010100110101 => 101010011010
010011010101 => 101001101010
010101010101 => 101010101010
010110100101 => 101011010010
010110010101 => 101011001010
010101100101 => 101010110010
010001111100 => 001000111110
010011111000 => 001001111100
001001111010 => 000100111101
001001111100 => 000100111110
001011111000 => 000101111100
001000011111 => 100100001111
000110001111 => 100011000111
000100011111 => 100010001111
000100101111 => 100010010111
000001111011 => 100000111101
000011100111 => 100001110011
000001110111 => 100000111011
000010110111 => 100001011011
111100001001 => 111110000100
111010001001 => 111101000100
111000110001 => 111100011000
111100010001 => 111110001000
111010010001 => 111101001000
011110100010 => 001111010001
011110001100 => 001111000110
011110100100 => 001111010010
110010010101 => 111001001010
011100100101 => 101110010010
000101111100 => 000010111110
000011111100 => 000001111110
001011110100 => 000101111010
000101111010 => 000010111101
000111110100 => 000011111010
000111111000 => 000011111100
000010011111 => 100001001111
000001011111 => 100000101111
000100110111 => 100010011011
000011001111 => 100001100111
000010101111 => 100001010111
000001101111 => 100000110111
111100100001 => 111110010000
111101000001 => 111110100000
110110010001 => 111011001000
111001100001 => 111100110000
110110100001 => 111011010000
111010100001 => 111101010000
011110011000 => 001111001100
011110101000 => 001111010100
000011110110 => 000001111011
000001111110 => 000000111111
000011111010 => 000001111101
000000111111 => 100000011111
110111000001 => 111011100000
111110000001 => 111111000000
111011000001 => 111101100000
011110110000 => 001111011000
000011101110 => 000001110111
000101110110 => 000010111011
101111000001 => 110111100000
110011100001 => 111001110000
011100111000 => 001110011100
00111111111 => 10011111111
00000000000 => 00000000000
01111101111 => 10111110111
01111010111 => 10111101011
01111011011 => 10111101101
01110110111 => 10111011011
11101111101 => 11110111110
01111011101 => 10111101110
01110101011 => 10111010101
10111110111 => 11011111011
01101110111 => 10110111011
11101111010 => 01110111101
01111011110 => 00111101111
11010111101 => 11101011110
01110101101 => 10111010110
11011111011 => 11101111101
01110111011 => 10111011101
10111101011 => 11011110101
01101101011 => 10110110101
01011110111 => 10101111011
11010111010 => 01101011101
11011010110 => 01101101011
01110101110 => 00111010111
11011011101 => 11101101110
10110111101 => 11011011110
11011110101 => 11101111010
01110110101 => 10111011010
10111101101 => 11011110110
01101101101 => 10110110110
10101111011 => 11010111101
10111011011 => 11011101101
01101011011 => 10110101101
01011101011 => 10101110101
00000100010 => 00000010001
01000100000 => 00100010000
00000010010 => 00000001001
00100000010 => 00010000001
00000001000 => 00000000100
00010000000 => 00001000000
01001000000 => 00100100000
01010000000 => 00101000000
00001010010 => 00000101001
00000100100 => 00000010010
00100100000 => 00010010000
01001010000 => 00100101000
00011000001 => 10001100000
00110001000 => 00011000100
00101000001 => 10010100000
01001000001 => 10100100000
00111000001 => 10011100000
01110010000 => 00111001000
10001000001 => 11000100000
01011000001 => 10101100000
00110100001 => 10011010000
10001100000 => 01000110000
10110010000 => 01011001000
01100010000 => 00110001000
01101010000 => 00110101000
00100011000 => 00010001100
10011000001 => 11001100000
01010100001 => 10101010000
00101100001 => 10010110000
00110010001 => 10011001000
10010100000 => 01001010000
11000100000 => 01100010000
11010010000 => 01101001000
10100010000 => 01010001000
10101010000 => 01010101000
01000110000 => 00100011000
01010010000 => 00101001000
01011010000 => 00101101000
01100110000 => 00110011000
00000100001 => 10000010000
00001010001 => 10000101000
00001001001 => 10000100100
00001000101 => 10000100010
00010101001 => 10001010100
00001000011 => 10000100001
00010100101 => 10001010010
00010100011 => 10001010001
00010010101 => 10001001010
10010010000 => 01001001000
10010101000 => 01001010100
10100101000 => 01010010100
11000010000 => 01100001000
10101001000 => 01010100100
11000101000 => 01100010100
11110111101 => 11111011110
10111101111 => 11011110111
11111011101 => 11111101110
10111011111 => 11011101111
11111101101 => 11111110110
11101011101 => 11110101110
11011111101 => 11101111110
11111110111 => 11111111011
10111111011 => 11011111101
10111010111 => 11011101011
11101111111 => 11110111111
10110111111 => 11011011111
11111110101 => 11111111010
11101101101 => 11110110110
11101110111 => 11110111011
11111011111 => 11111101111
10110110111 => 11011011011
11101110101 => 11110111010
11110101101 => 11111010110
11011101101 => 11101110110
10111011101 => 11011101110
11110110111 => 11111011011
11011110111 => 11101111011
11111011011 => 11111101101
11101111011 => 11110111101
10110111011 => 11011011101
11011011111 => 11101101111
11101101111 => 11110110111
10110101111 => 11011010111
10101110111 => 11010111011
10101111101 => 11010111110
10101011111 => 11010101111
01101111101 => 10110111110
10001111111 => 11000111111
11101011111 => 11110101111
10011011111 => 11001101111
10111110101 => 11011111010
01110111101 => 10111011110
01111110111 => 10111111011
11111001111 => 11111100111
10011101111 => 11001110111
11100111111 => 11110011111
10010111111 => 11001011111
01111011111 => 10111101111
11111111001 => 11111111100
11111010101 => 11111101010
11111011001 => 11111101100
11111110001 => 11111111000
11111010111 => 11111101011
11111101001 => 11111110100
11110111001 => 11111011100
11111100111 => 11111110011
11110011111 => 11111001111
100001000011 => 110000100001
111000010000 => 011100001000
100011100011 => 110001110001
100010110011 => 110001011001
100110100011 => 110011010001
100010011011 => 110001001101
100111110011 => 110011111001
101100100011 => 110110010001
111000100110 => 011100010011
111001111100 => 011100111110
101010001000 => 010101000100
100010001111 => 110001000111
100111011011 => 110011101101
100101010011 => 110010101001
101101110011 => 110110111001
111000100011 => 111100010001
100111001010 => 010011100101
111001110110 => 011100111011
100100100100 => 010010010010
101010011100 => 010101001110
111011011100 => 011101101110
100111001111 => 110011100111
100101111011 => 110010111101
101101011011 => 110110101101
101111010011 => 110111101001
111001110011 => 111100111001
111001011110 => 011100101111
111011010110 => 011101101011
111011110100 => 011101111010
111110011100 => 011111001110
010001011110 => 001000101111
001001011110 => 000100101111
011000110110 => 001100011011
001101001110 => 000110100111
001011001110 => 000101100111
000101011110 => 000010101111
110010011100 => 011001001110
001100111010 => 000110011101
111000010110 => 011100001011
001001101110 => 000100110111
001101011100 => 000110101110
001110011010 => 000111001101
110100011010 => 011010001101
001101011010 => 000110101101
001110101010 => 000111010101
101100011010 => 010110001101
010100111010 => 001010011101
001111100001 => 100111110000
000111110001 => 100011111000
001110111000 => 000111011100
000111101001 => 100011110100
001011110001 => 100101111000
001110110100 => 000111011010
000111100101 => 100011110010
000011111001 => 100001111100
001101110001 => 100110111000
001110110010 => 000111011001
000110111100 => 000011011110
000111100011 => 100011110001
001011101001 => 100101110100
000101111001 => 100010111100
001110110001 => 100111011000
000110111010 => 000011011101
001010111100 => 000101011110
001001111001 => 100100111100
000110111001 => 100011011100
000110110110 => 000011011011
001010111010 => 000101011101
010010111100 => 001001011110
001100111100 => 000110011110
011110000011 => 101111000001
011100000111 => 101110000011
011010000111 => 101101000011
011100001011 => 101110000101
110100100011 => 111010010001
010110000111 => 101011000011
011000001111 => 101100000111
011100010011 => 101110001001
110000100111 => 111000010011
001110000111 => 100111000011
011010001011 => 101101000101
011000010111 => 101100001011
011100100011 => 101110010001
101100001101 => 110110000110
101000100111 => 110100010011
110010010011 => 111001001001
110000101011 => 111000010101
011000011011 => 101100001101
011000100111 => 101100010011
101010001101 => 110101000110
100110001011 => 110011000101
100100100111 => 110010010011
101010010011 => 110101001001
101000101011 => 110100010101
110000101101 => 111000010110
110000110011 => 111000011001
010011110001 => 101001111000
000111011001 => 100011101100
100110111000 => 010011011100
001110101100 => 000111010110
100011110001 => 110001111000
001111010001 => 100111101000
001110011100 => 000111001110
001111001001 => 100111100100
010000111110 => 001000011111
010100111100 => 001010011110
010001110110 => 001000111011
011000111100 => 001100011110
010010111010 => 001001011101
010001101110 => 001000110111
001010111001 => 100101011100
001010110110 => 000101011011
100000111101 => 110000011110
110000011101 => 111000001110
100010010111 => 110001001011
101000011101 => 110100001110
110010000111 => 111001000011
100100011101 => 110010001110
111000001101 => 111100000110
110000110101 => 111000011010
101010000111 => 110101000011
110010001011 => 111001000101
100010011101 => 110001001110
110100001101 => 111010000110
101000101101 => 110100010110
110000111001 => 111000011100
100110000111 => 110011000011
101010001011 => 110101000101
110010001101 => 111001000110
100100101011 => 110010010101
101000110011 => 110100011001
011000101011 => 101100010101
011000011110 => 001100001111
011000101110 => 001100010111
001110001110 => 000111000111
011001001110 => 001100100111
010110001110 => 001011000111
010011100110 => 001001110011
001110010110 => 000111001011
101000001111 => 110100000111
101000010111 => 110100001011
101000011011 => 110100001101
101001000111 => 110100100011
100001111001 => 110000111100
101001001011 => 110100100101
100010111001 => 110001011100
101001010011 => 110100101001
101001001101 => 110100100110
101000110101 => 110100011010
100110010011 => 110011001001
100110001101 => 110011000110
100101100011 => 110010110001
100100111001 => 110010011100
100011100101 => 110001110010
100011011001 => 110001101100
100011101001 => 110001110100
010010111001 => 101001011100
010011100101 => 101001110010
001101011001 => 100110101100
001110101001 => 100111010100
001110100101 => 100111010010
001110011001 => 100111001100
111000001011 => 111100000101
110100001011 => 111010000101
101100001011 => 110110000101
110001001011 => 111000100101
001111000011 => 100111100001
001110100011 => 100111010001
100101001011 => 110010100101
011001001011 => 101100100101
010110001011 => 101011000101
100100110011 => 110010011001
011000110011 => 101100011001
100011010011 => 110001101001
001110010011 => 100111001001
010011100011 => 101001110001
001101100011 => 100110110001
000110011110 => 000011001111
100110011100 => 010011001110
001010101110 => 000101010111
100110110010 => 010011011001
010010110110 => 001001011011
001110001101 => 100111000110
001011100101 => 100101110010
001100111001 => 100110011100
001011011001 => 100101101100
001100110110 => 000110011011
11100010000 => 01110001000
11100100000 => 01110010000
11101000000 => 01110100000
11111000001 => 11111100000
0010001000 => 0001000100
10100111101 => 11010011110
01110111111 => 10111011111
11111101010 => 01111110101
10101000000 => 01010100000
10110100000 => 01011010000
0001000101 => 1000100010
00000101010 => 00000010101
0000100011 => 1000010001
0001001011 => 1000100101
10100101111 => 11010010111
0000100010 => 0000010001
11111100101 => 11111110010
01011000000 => 00101100000
0101010000 => 0010101000
01011100000 => 00101110000
11011111111 => 11101111111
10010111101 => 11001011110
10111000001 => 11011100000
10111111001 => 11011111100
00000010100 => 00000001010
0000100100 => 0000010010
11111110100 => 01111111010
0010010011 => 1001001001
11001000000 => 01100100000
11101100000 => 01110110000
11011000000 => 01101100000
0001000111 => 1000100011
11010111111 => 11101011111
10010101001 => 11001010100
010010101101 => 101001010110
00001000100101 => 10000100010010
0000100010011 => 1000010001001
000010001001 => 100001000100
0000100010101 => 1000010001010
000010001010 => 000001000101
000010001011 => 100001000101
00001000111 => 10000100011
0000100100101 => 1000010010010
000010010010 => 000001001001
000010010011 => 100001001001
000010010101 => 100001001010
00001001010 => 00000100101
00001001011 => 10000100101
0000100101 => 1000010010
00001010101 => 10000101010
0000101011 => 1000010101
0001000100101 => 1000100010010
000100010010 => 000010001001
000100010011 => 100010001001
0001000100 => 0000100010
000100010101 => 100010001010
00010001011 => 10001000101
000100100101 => 100010010010
00010010011 => 10001001001
0001001001 => 1000100100
0001001010 => 0000100101
0010010010 => 0001001001
0010010101 => 1001001010
0100100010000 => 0010010001000
1100100010000 => 0110010001000
100100010000 => 010010001000
1010100010000 => 0101010001000
010100010000 => 001010001000
110100010000 => 011010001000
0100010000 => 0010001000
1010010010000 => 0101001001000
010010010000 => 001001001000
110010010000 => 011001001000
0010010000 => 0001001000
101010010000 => 010101001000
1010010001000 => 0101001000100
010010001000 => 001001000100
110010001000 => 011001000100
11010001000 => 01101000100
101001001000 => 010100100100
11001001000 => 01100100100
0101001000 => 0010100100
0100100100 => 0010010010
11010100000 => 01101010000
10100100000 => 01010010000
11011011010 => 01101101101
111011101010 => 011101110101
11110101010 => 01111010101
11110110101 => 11111011010
11110111010 => 01111011101
11110111011 => 11111011101
01011011011 => 10101101101
01010101111 => 10101010111
10101101111 => 11010110111
01011101111 => 10101110111
11011101111 => 11101110111
01100100000 => 00110010000
00010100000 => 00001010000
10101000001 => 11010100000
00010101010 => 00001010101
01010110000 => 00101011000
00101010000 => 00010101000
00100110000 => 00010011000
10100100001 => 11010010000
01010101000 => 00101010100
01101101010 => 00110110101
11011101010 => 01101110101
01011011010 => 00101101101
10111011010 => 01011101101
01101011010 => 00110101101
01110111010 => 00111011101
01010110110 => 00101011011
01101110110 => 00110111011
01011010110 => 00101101011
01101010110 => 00110101011
01110110110 => 00111011011
01011101110 => 00101110111
01101101110 => 00110110111
01010101101 => 10101010110
10110101101 => 11011010110
10101101101 => 11010110110
01011011101 => 10101101110
01101011101 => 10110101110
10101011101 => 11010101110
01010110101 => 10101011010
10110110101 => 11011011010
01101110101 => 10110111010
10101110101 => 11010111010
01011010101 => 10101101010
10111010101 => 11011101010
01101010101 => 10110101010
11011010101 => 11101101010
11010110101 => 11101011010
01011101101 => 10101110110
11010101101 => 11101010110
01010111011 => 10101011101
01101111011 => 10110111101
10101011011 => 11010101101
11011011011 => 11101101101
11010111011 => 11101011101
10101101011 => 11010110101
11011101011 => 11101110101
10110101011 => 11011010101
11010101011 => 11101010101
11101101011 => 11110110101
11101011011 => 11110101101
11010110111 => 11101011011
11011010111 => 11101101011
11101010111 => 11110101011
11110101111 => 11111010111
01000001010 => 00100000101
01010000010 => 00101000001
00000101000 => 00000010100
00001010100 => 00000101010
01010100000 => 00101010000
00000010000 => 00000001000
00101000000 => 00010100000
00001000000 => 00000100000
11101000001 => 11110100000
11010100001 => 11101010000
11011000001 => 11101100000
10101100001 => 11010110000
10110100001 => 11011010000
10010100001 => 11001010000
01011100001 => 10101110000
01001100001 => 10100110000
01101100001 => 10110110000
01100100001 => 10110010000
00100110001 => 10010011000
10101100000 => 01010110000
10010110000 => 01001011000
10011010000 => 01001101000
10011100000 => 01001110000
11011100000 => 01101110000
11001010000 => 01100101000
11001100000 => 01100110000
11110100000 => 01111010000
11111000000 => 01111100000
10100110000 => 01010011000
10011000000 => 01001100000
01001110000 => 00100111000
01001100000 => 00100110000
01101100000 => 00110110000
01110100000 => 00111010000
01111000000 => 00111100000
01101000000 => 00110100000
00101100000 => 00010110000
00110010000 => 00011001000
00110100000 => 00011010000
00111000000 => 00011100000
00011000000 => 00001100000
01010101011 => 10101010101
00100101011 => 10010010101
01001001011 => 10100100101
00101001011 => 10010100101
01010010011 => 10101001001
00100010011 => 10010001001
01001010011 => 10100101001
00101010011 => 10010101001
01000100011 => 10100010001
00100100011 => 10010010001
00101010101 => 10010101010
11001001010 => 01100100101
11010010010 => 01101001001
11001010010 => 01100101001
11000100010 => 01100010001
11010100100 => 01101010010
11001000100 => 01100100010
11010010100 => 01101001010
11001010100 => 01100101010
11000100100 => 01100010010
11101010101 => 11110101010
10101010111 => 11010101011
11110101011 => 11111010101
11111101011 => 11111110101
11010101111 => 11101010111
11111101111 => 11111110111
11110111111 => 11111011111
11111111111 => 11111111111
01111010101 => 10111101010
10011110101 => 11001111010
01011110101 => 10101111010
11100111101 => 11110011110
01010111101 => 10101011110
10011110111 => 11001111011
10101001111 => 11010100111
11101001111 => 11110100111
10111001111 => 11011100111
01111001111 => 10111100111
11100101111 => 11110010111
10010101111 => 11001010111
01110101111 => 10111010111
00111101111 => 10011110111
00101111111 => 10010111111
01011011111 => 10101101111
01101011111 => 10110101111
11110010101 => 11111001010
10111100101 => 11011110010
11110100101 => 11111010010
11110011101 => 11111001110
10101111001 => 11010111100
11101111001 => 11110111100
10111101001 => 11011110100
11110101001 => 11111010100
11110010111 => 11111001011
10111100111 => 11011110011
11110100111 => 11111010011
10111101010 => 01011110101
11111011010 => 01111101101
11111010110 => 01111101011
11110111100 => 01111011110
111111111111 => 111111111111
101011111111 => 110101111111
111010111111 => 111101011111
101110111111 => 110111011111
100100111111 => 110010011111
111110101111 => 111111010111
101010101111 => 110101010111
111011101111 => 111101110111
101111101111 => 110111110111
100101101111 => 110010110111
111001001111 => 111100100111
101101001111 => 110110100111
111111101011 => 111111110101
101011101011 => 110101110101
111010101011 => 111101010101
101110101011 => 110111010101
111110111011 => 111111011101
101010111011 => 110101011101
111011111011 => 111101111101
101111111011 => 110111111101
111001011011 => 111100101101
111110010011 => 111111001001
111011010011 => 111101101001
111111111010 => 011111111101
101011111010 => 010101111101
111010111010 => 011101011101
101110111010 => 010111011101
111110101010 => 011111010101
101111101010 => 010111110101
111010101110 => 011101010111
101110101110 => 010111010111
111110010110 => 011111001011
101111010110 => 010111101011
101101110110 => 010110111011
101100100110 => 010110010011
100110100110 => 010011010011
111111100100 => 011111110010
111110110100 => 011111011010
101111110100 => 010111111010
100010010100 => 010001001010
101111011100 => 010111101110
100101011100 => 010010101110
101101111100 => 010110111110
100111111100 => 010011111110
100110101100 => 010011010110
100101001000 => 010010100100
100010101000 => 010001010100
100001011000 => 010000101100
101100010000 => 010110001000
100110010000 => 010011001000
100011010000 => 010001101000
100001110000 => 010000111000
100110110100 => 010011011010
000010111110 => 000001011111
000110101110 => 000011010111
001010011110 => 000101001111
010010011110 => 001001001111
100100111100 => 010010011110
101100011100 => 010110001110
110100011100 => 011010001110
000100111110 => 000010011111
001100101110 => 000110010111
001100011110 => 000110001111
010100011110 => 001010001111
111000011010 => 011100001101
101000111100 => 010100011110
111000011100 => 011100001110
011000111010 => 001100011101
001000111110 => 000100011111
110000110110 => 011000011011
110000111010 => 011000011101
110000111100 => 011000011110
001101101001 => 100110110100
011010010011 => 101101001001
100100101101 => 110010010110
100000111011 => 110000011101
100100011011 => 110010001101
100000110111 => 110000011011
100000101111 => 110000010111
100000011111 => 110000001111
100100010111 => 110010001011
100100001111 => 110010000111
101100010011 => 110110001001
101100000111 => 110110000011
101110000011 => 110111000001
110000011011 => 111000001101
110000010111 => 111000001011
110000001111 => 111000000111
110100010011 => 111010001001
110100000111 => 111010000011
110110000011 => 111011000001
111000010011 => 111100001001
111000000111 => 111100000011
111010000011 => 111101000001
111100000011 => 111110000001
010011101001 => 101001110100
100110010110 => 010011001011
100101100110 => 010010110011
011010001110 => 001101000111
010101001110 => 001010100111
010100110110 => 001010011011
010100101110 => 001010010111
010011010110 => 001001101011
010011001110 => 001001100111
010010101110 => 001001010111
001110100110 => 000111010011
001101010110 => 000110101011
101010100011 => 110101010001
101001100011 => 110100110001
101000111001 => 110100011100
100101001101 => 110010100110
100101000111 => 110010100011
100100110101 => 110010011010
100011010101 => 110001101010
100011001101 => 110001100110
100011001011 => 110001100101
100011000111 => 110001100011
100010110101 => 110001011010
100010101101 => 110001010110
100010101011 => 110001010101
100010100111 => 110001010011
100001110101 => 110000111010
100001110011 => 110000111001
100001101101 => 110000110110
100001101011 => 110000110101
100001100111 => 110000110011
100001011101 => 110000101110
100001011011 => 110000101101
100001010111 => 110000101011
100001001111 => 110000100111
010011011001 => 101001101100
010001111001 => 101000111100
001110010101 => 100111001010
001111000101 => 100111100010
001101100101 => 100110110010
001110001011 => 100111000101
011001010011 => 101100101001
110001010011 => 111000101001
010110010011 => 101011001001
001011100011 => 100101110001
010101100011 => 101010110001
011001100011 => 101100110001
110001100011 => 111000110001
010110100011 => 101011010001
011010100011 => 101101010001
110010100011 => 111001010001
010111000011 => 101011100001
100111000011 => 110011100001
011011000011 => 101101100001
101011000011 => 110101100001
110011000011 => 111001100001
011101000011 => 101110100001
101101000011 => 110110100001
110101000011 => 111010100001
111001000011 => 111100100001
111111010010010010010010 => 011111101001001001001001
111110100100100100110100 => 011111010010010010011010
111110100100100110100010 => 011111010010010011010001
111101001001001110100100 => 011110100100100111010010
111101001001001101101000 => 011110100100100110110100
111110100100110100010010 => 011111010010011010001001
111101001001101000110100 => 011110100100110100011010
111101001001110100100010 => 011110100100111010010001
111010010011110100100100 => 011101001001111010010010
111010010011101001101000 => 011101001001110100110100
111101001001101101000010 => 011110100100110110100001
111010010011101101000100 => 011101001001110110100010
111010010011011101001000 => 011101001001101110100100
111010010011011011010000 => 011101001001101101101000
111110100110100010010010 => 011111010011010001001001
111101001101000100110100 => 011110100110100010011010
111101001101000110100010 => 011110100110100011010001
111010011010001110100100 => 011101001101000111010010
111010011010001101101000 => 011101001101000110110100
111101001110100100010010 => 011110100111010010001001
111010011101001000110100 => 011101001110100100011010
111010011110100100100010 => 011101001111010010010001
110100111110100100100100 => 011010011111010010010010
110100111101001001101000 => 011010011110100100110100
111010011101001101000010 => 011101001110100110100001
110100111101001101000100 => 011010011110100110100010
110100111010011101001000 => 011010011101001110100100
110100111010011011010000 => 011010011101001101101000
111101001101101000010010 => 011110100110110100001001
111010011011010000110100 => 011101001101101000011010
111010011101101000100010 => 011101001110110100010001
110100111101101000100100 => 011010011110110100010010
110100111011010001101000 => 011010011101101000110100
111010011011101001000010 => 011101001101110100100001
110100111011101001000100 => 011010011101110100100010
110100110111101001001000 => 011010011011110100100100
110100110111010011010000 => 011010011011101001101000
111010011011011010000010 => 011101001101101101000001
110100111011011010000100 => 011010011101101101000010
110100110111011010001000 => 011010011011101101000100
110100110110111010010000 => 011010011011011101001000
110100110110110110100000 => 011010011011011011010000
111110110100010010010010 => 011111011010001001001001
111101101000100100110100 => 011110110100010010011010
111101101000100110100010 => 011110110100010011010001
111011010001001110100100 => 011101101000100111010010
111011010001001101101000 => 011101101000100110110100
111101101000110100010010 => 011110110100011010001001
111011010001101000110100 => 011101101000110100011010
111011010001110100100010 => 011101101000111010010001
110110100011110100100100 => 011011010001111010010010
110110100011101001101000 => 011011010001110100110100
111011010001101101000010 => 011101101000110110100001
110110100011101101000100 => 011011010001110110100010
110110100011011101001000 => 011011010001101110100100
110110100011011011010000 => 011011010001101101101000
111101110100100010010010 => 011110111010010001001001
111011101001000100110100 => 011101110100100010011010
111011101001000110100010 => 011101110100100011010001
110111010010001110100100 => 011011101001000111010010
110111010010001101101000 => 011011101001000110110100
111011110100100100010010 => 011101111010010010001001
110111101001001000110100 => 011011110100100100011010
110111110100100100100010 => 011011111010010010010001
101111110100100100100100 => 010111111010010010010010
101111101001001001101000 => 010111110100100100110100
110111101001001101000010 => 011011110100100110100001
101111101001001101000100 => 010111110100100110100010
101111010010011101001000 => 010111101001001110100100
101111010010011011010000 => 010111101001001101101000
111011101001101000010010 => 011101110100110100001001
110111010011010000110100 => 011011101001101000011010
110111101001101000100010 => 011011110100110100010001
101111101001101000100100 => 010111110100110100010010
101111010011010001101000 => 010111101001101000110100
110111010011101001000010 => 011011101001110100100001
101111010011101001000100 => 010111101001110100100010
101110100111101001001000 => 010111010011110100100100
101110100111010011010000 => 010111010011101001101000
110111010011011010000010 => 011011101001101101000001
101111010011011010000100 => 010111101001101101000010
101110100111011010001000 => 010111010011101101000100
101110100110111010010000 => 010111010011011101001000
101110100110110110100000 => 010111010011011011010000
111101101101000010010010 => 011110110110100001001001
111011011010000100110100 => 011101101101000010011010
111011011010000110100010 => 011101101101000011010001
110110110100001110100100 => 011011011010000111010010
110110110100001101101000 => 011011011010000110110100
111011101101000100010010 => 011101110110100010001001
110111011010001000110100 => 011011101101000100011010
110111101101000100100010 => 011011110110100010010001
101111101101000100100100 => 010111110110100010010010
101111011010001001101000 => 010111101101000100110100
110111011010001101000010 => 011011101101000110100001
101111011010001101000100 => 010111101101000110100010
101110110100011101001000 => 010111011010001110100100
101110110100011011010000 => 010111011010001101101000
111011011101001000010010 => 011101101110100100001001
110110111010010000110100 => 011011011101001000011010
110111011101001000100010 => 011011101110100100010001
101111011101001000100100 => 010111101110100100010010
101110111010010001101000 => 010111011101001000110100
110110111101001001000010 => 011011011110100100100001
101110111101001001000100 => 010111011110100100100010
101101111101001001001000 => 010110111110100100100100
101101111010010011010000 => 010110111101001001101000
110110111010011010000010 => 011011011101001101000001
101110111010011010000100 => 010111011101001101000010
101101111010011010001000 => 010110111101001101000100
101101110100111010010000 => 010110111010011101001000
101101110100110110100000 => 010110111010011011010000
111011011011010000010010 => 011101101101101000001001
110110110110100000110100 => 011011011011010000011010
110111011011010000100010 => 011011101101101000010001
101111011011010000100100 => 010111101101101000010010
101110110110100001101000 => 010111011011010000110100
110110111011010001000010 => 011011011101101000100001
101110111011010001000100 => 010111011101101000100010
101101111011010001001000 => 010110111101101000100100
101101110110100011010000 => 010110111011010001101000
110110110111010010000010 => 011011011011101001000001
101110110111010010000100 => 010111011011101001000010
101101110111010010001000 => 010110111011101001000100
101101101111010010010000 => 010110110111101001001000
101101101110100110100000 => 010110110111010011010000
110110110110110100000010 => 011011011011011010000001
101110110110110100000100 => 010111011011011010000010
101101110110110100001000 => 010110111011011010000100
101101101110110100010000 => 010110110111011010001000
101101101101110100100000 => 010110110110111010010000
101101101101101101000000 => 010110110110110110100000
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Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.
Properties
bijective, graded
Sage code
def mapping(w):
    return Word([int(w[-1])] +  [int(l) for l in w[:-1]], [0,1])
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey