Identifier
Mp00104: Binary words reverseBinary words
Mp00200: Binary words twistBinary words
Mp00135: Binary words rotate front-to-backBinary words
Images
0 => 0 => 1 => 1
1 => 1 => 0 => 0
00 => 00 => 10 => 01
01 => 10 => 00 => 00
10 => 01 => 11 => 11
11 => 11 => 01 => 10
000 => 000 => 100 => 001
001 => 100 => 000 => 000
010 => 010 => 110 => 101
011 => 110 => 010 => 100
100 => 001 => 101 => 011
101 => 101 => 001 => 010
110 => 011 => 111 => 111
111 => 111 => 011 => 110
0000 => 0000 => 1000 => 0001
0001 => 1000 => 0000 => 0000
0010 => 0100 => 1100 => 1001
0011 => 1100 => 0100 => 1000
0100 => 0010 => 1010 => 0101
0101 => 1010 => 0010 => 0100
0110 => 0110 => 1110 => 1101
0111 => 1110 => 0110 => 1100
1000 => 0001 => 1001 => 0011
1001 => 1001 => 0001 => 0010
1010 => 0101 => 1101 => 1011
1011 => 1101 => 0101 => 1010
1100 => 0011 => 1011 => 0111
1101 => 1011 => 0011 => 0110
1110 => 0111 => 1111 => 1111
1111 => 1111 => 0111 => 1110
00000 => 00000 => 10000 => 00001
00001 => 10000 => 00000 => 00000
00010 => 01000 => 11000 => 10001
00011 => 11000 => 01000 => 10000
00100 => 00100 => 10100 => 01001
00101 => 10100 => 00100 => 01000
00110 => 01100 => 11100 => 11001
00111 => 11100 => 01100 => 11000
01000 => 00010 => 10010 => 00101
01001 => 10010 => 00010 => 00100
01010 => 01010 => 11010 => 10101
01011 => 11010 => 01010 => 10100
01100 => 00110 => 10110 => 01101
01101 => 10110 => 00110 => 01100
01110 => 01110 => 11110 => 11101
01111 => 11110 => 01110 => 11100
10000 => 00001 => 10001 => 00011
10001 => 10001 => 00001 => 00010
10010 => 01001 => 11001 => 10011
10011 => 11001 => 01001 => 10010
10100 => 00101 => 10101 => 01011
10101 => 10101 => 00101 => 01010
10110 => 01101 => 11101 => 11011
10111 => 11101 => 01101 => 11010
11000 => 00011 => 10011 => 00111
11001 => 10011 => 00011 => 00110
11010 => 01011 => 11011 => 10111
11011 => 11011 => 01011 => 10110
11100 => 00111 => 10111 => 01111
11101 => 10111 => 00111 => 01110
11110 => 01111 => 11111 => 11111
11111 => 11111 => 01111 => 11110
000000 => 000000 => 100000 => 000001
000001 => 100000 => 000000 => 000000
000010 => 010000 => 110000 => 100001
000011 => 110000 => 010000 => 100000
000100 => 001000 => 101000 => 010001
000101 => 101000 => 001000 => 010000
000110 => 011000 => 111000 => 110001
000111 => 111000 => 011000 => 110000
001000 => 000100 => 100100 => 001001
001001 => 100100 => 000100 => 001000
001010 => 010100 => 110100 => 101001
001011 => 110100 => 010100 => 101000
001100 => 001100 => 101100 => 011001
001101 => 101100 => 001100 => 011000
001110 => 011100 => 111100 => 111001
001111 => 111100 => 011100 => 111000
010000 => 000010 => 100010 => 000101
010001 => 100010 => 000010 => 000100
010010 => 010010 => 110010 => 100101
010011 => 110010 => 010010 => 100100
010100 => 001010 => 101010 => 010101
010101 => 101010 => 001010 => 010100
010110 => 011010 => 111010 => 110101
010111 => 111010 => 011010 => 110100
011000 => 000110 => 100110 => 001101
011001 => 100110 => 000110 => 001100
011010 => 010110 => 110110 => 101101
011011 => 110110 => 010110 => 101100
011100 => 001110 => 101110 => 011101
011101 => 101110 => 001110 => 011100
011110 => 011110 => 111110 => 111101
011111 => 111110 => 011110 => 111100
100000 => 000001 => 100001 => 000011
100001 => 100001 => 000001 => 000010
100010 => 010001 => 110001 => 100011
100011 => 110001 => 010001 => 100010
100100 => 001001 => 101001 => 010011
100101 => 101001 => 001001 => 010010
100110 => 011001 => 111001 => 110011
>>> Load all 2759 entries. <<<
100111 => 111001 => 011001 => 110010
101000 => 000101 => 100101 => 001011
101001 => 100101 => 000101 => 001010
101010 => 010101 => 110101 => 101011
101011 => 110101 => 010101 => 101010
101100 => 001101 => 101101 => 011011
101101 => 101101 => 001101 => 011010
101110 => 011101 => 111101 => 111011
101111 => 111101 => 011101 => 111010
110000 => 000011 => 100011 => 000111
110001 => 100011 => 000011 => 000110
110010 => 010011 => 110011 => 100111
110011 => 110011 => 010011 => 100110
110100 => 001011 => 101011 => 010111
110101 => 101011 => 001011 => 010110
110110 => 011011 => 111011 => 110111
110111 => 111011 => 011011 => 110110
111000 => 000111 => 100111 => 001111
111001 => 100111 => 000111 => 001110
111010 => 010111 => 110111 => 101111
111011 => 110111 => 010111 => 101110
111100 => 001111 => 101111 => 011111
111101 => 101111 => 001111 => 011110
111110 => 011111 => 111111 => 111111
111111 => 111111 => 011111 => 111110
0000000 => 0000000 => 1000000 => 0000001
0000001 => 1000000 => 0000000 => 0000000
0000010 => 0100000 => 1100000 => 1000001
0000011 => 1100000 => 0100000 => 1000000
0000100 => 0010000 => 1010000 => 0100001
0000101 => 1010000 => 0010000 => 0100000
0000110 => 0110000 => 1110000 => 1100001
0000111 => 1110000 => 0110000 => 1100000
0001000 => 0001000 => 1001000 => 0010001
0001001 => 1001000 => 0001000 => 0010000
0001010 => 0101000 => 1101000 => 1010001
0001011 => 1101000 => 0101000 => 1010000
0001100 => 0011000 => 1011000 => 0110001
0001101 => 1011000 => 0011000 => 0110000
0001110 => 0111000 => 1111000 => 1110001
0001111 => 1111000 => 0111000 => 1110000
0010000 => 0000100 => 1000100 => 0001001
0010001 => 1000100 => 0000100 => 0001000
0010010 => 0100100 => 1100100 => 1001001
0010011 => 1100100 => 0100100 => 1001000
0010100 => 0010100 => 1010100 => 0101001
0010101 => 1010100 => 0010100 => 0101000
0010110 => 0110100 => 1110100 => 1101001
0010111 => 1110100 => 0110100 => 1101000
0011000 => 0001100 => 1001100 => 0011001
0011001 => 1001100 => 0001100 => 0011000
0011010 => 0101100 => 1101100 => 1011001
0011011 => 1101100 => 0101100 => 1011000
0011100 => 0011100 => 1011100 => 0111001
0011101 => 1011100 => 0011100 => 0111000
0011110 => 0111100 => 1111100 => 1111001
0011111 => 1111100 => 0111100 => 1111000
0100000 => 0000010 => 1000010 => 0000101
0100001 => 1000010 => 0000010 => 0000100
0100010 => 0100010 => 1100010 => 1000101
0100011 => 1100010 => 0100010 => 1000100
0100100 => 0010010 => 1010010 => 0100101
0100101 => 1010010 => 0010010 => 0100100
0100110 => 0110010 => 1110010 => 1100101
0100111 => 1110010 => 0110010 => 1100100
0101000 => 0001010 => 1001010 => 0010101
0101001 => 1001010 => 0001010 => 0010100
0101010 => 0101010 => 1101010 => 1010101
0101011 => 1101010 => 0101010 => 1010100
0101100 => 0011010 => 1011010 => 0110101
0101101 => 1011010 => 0011010 => 0110100
0101110 => 0111010 => 1111010 => 1110101
0101111 => 1111010 => 0111010 => 1110100
0110000 => 0000110 => 1000110 => 0001101
0110001 => 1000110 => 0000110 => 0001100
0110010 => 0100110 => 1100110 => 1001101
0110011 => 1100110 => 0100110 => 1001100
0110100 => 0010110 => 1010110 => 0101101
0110101 => 1010110 => 0010110 => 0101100
0110110 => 0110110 => 1110110 => 1101101
0110111 => 1110110 => 0110110 => 1101100
0111000 => 0001110 => 1001110 => 0011101
0111001 => 1001110 => 0001110 => 0011100
0111010 => 0101110 => 1101110 => 1011101
0111011 => 1101110 => 0101110 => 1011100
0111100 => 0011110 => 1011110 => 0111101
0111101 => 1011110 => 0011110 => 0111100
0111110 => 0111110 => 1111110 => 1111101
0111111 => 1111110 => 0111110 => 1111100
1000000 => 0000001 => 1000001 => 0000011
1000001 => 1000001 => 0000001 => 0000010
1000010 => 0100001 => 1100001 => 1000011
1000011 => 1100001 => 0100001 => 1000010
1000100 => 0010001 => 1010001 => 0100011
1000101 => 1010001 => 0010001 => 0100010
1000110 => 0110001 => 1110001 => 1100011
1000111 => 1110001 => 0110001 => 1100010
1001000 => 0001001 => 1001001 => 0010011
1001001 => 1001001 => 0001001 => 0010010
1001010 => 0101001 => 1101001 => 1010011
1001011 => 1101001 => 0101001 => 1010010
1001100 => 0011001 => 1011001 => 0110011
1001101 => 1011001 => 0011001 => 0110010
1001110 => 0111001 => 1111001 => 1110011
1001111 => 1111001 => 0111001 => 1110010
1010000 => 0000101 => 1000101 => 0001011
1010001 => 1000101 => 0000101 => 0001010
1010010 => 0100101 => 1100101 => 1001011
1010011 => 1100101 => 0100101 => 1001010
1010100 => 0010101 => 1010101 => 0101011
1010101 => 1010101 => 0010101 => 0101010
1010110 => 0110101 => 1110101 => 1101011
1010111 => 1110101 => 0110101 => 1101010
1011000 => 0001101 => 1001101 => 0011011
1011001 => 1001101 => 0001101 => 0011010
1011010 => 0101101 => 1101101 => 1011011
1011011 => 1101101 => 0101101 => 1011010
1011100 => 0011101 => 1011101 => 0111011
1011101 => 1011101 => 0011101 => 0111010
1011110 => 0111101 => 1111101 => 1111011
1011111 => 1111101 => 0111101 => 1111010
1100000 => 0000011 => 1000011 => 0000111
1100001 => 1000011 => 0000011 => 0000110
1100010 => 0100011 => 1100011 => 1000111
1100011 => 1100011 => 0100011 => 1000110
1100100 => 0010011 => 1010011 => 0100111
1100101 => 1010011 => 0010011 => 0100110
1100110 => 0110011 => 1110011 => 1100111
1100111 => 1110011 => 0110011 => 1100110
1101000 => 0001011 => 1001011 => 0010111
1101001 => 1001011 => 0001011 => 0010110
1101010 => 0101011 => 1101011 => 1010111
1101011 => 1101011 => 0101011 => 1010110
1101100 => 0011011 => 1011011 => 0110111
1101101 => 1011011 => 0011011 => 0110110
1101110 => 0111011 => 1111011 => 1110111
1101111 => 1111011 => 0111011 => 1110110
1110000 => 0000111 => 1000111 => 0001111
1110001 => 1000111 => 0000111 => 0001110
1110010 => 0100111 => 1100111 => 1001111
1110011 => 1100111 => 0100111 => 1001110
1110100 => 0010111 => 1010111 => 0101111
1110101 => 1010111 => 0010111 => 0101110
1110110 => 0110111 => 1110111 => 1101111
1110111 => 1110111 => 0110111 => 1101110
1111000 => 0001111 => 1001111 => 0011111
1111001 => 1001111 => 0001111 => 0011110
1111010 => 0101111 => 1101111 => 1011111
1111011 => 1101111 => 0101111 => 1011110
1111100 => 0011111 => 1011111 => 0111111
1111101 => 1011111 => 0011111 => 0111110
1111110 => 0111111 => 1111111 => 1111111
1111111 => 1111111 => 0111111 => 1111110
00000000 => 00000000 => 10000000 => 00000001
00000001 => 10000000 => 00000000 => 00000000
00000010 => 01000000 => 11000000 => 10000001
00000011 => 11000000 => 01000000 => 10000000
00000100 => 00100000 => 10100000 => 01000001
00000101 => 10100000 => 00100000 => 01000000
00000110 => 01100000 => 11100000 => 11000001
00000111 => 11100000 => 01100000 => 11000000
00001000 => 00010000 => 10010000 => 00100001
00001001 => 10010000 => 00010000 => 00100000
00001010 => 01010000 => 11010000 => 10100001
00001011 => 11010000 => 01010000 => 10100000
00001100 => 00110000 => 10110000 => 01100001
00001101 => 10110000 => 00110000 => 01100000
00001110 => 01110000 => 11110000 => 11100001
00001111 => 11110000 => 01110000 => 11100000
00010000 => 00001000 => 10001000 => 00010001
00010001 => 10001000 => 00001000 => 00010000
00010010 => 01001000 => 11001000 => 10010001
00010011 => 11001000 => 01001000 => 10010000
00010100 => 00101000 => 10101000 => 01010001
00010101 => 10101000 => 00101000 => 01010000
00010110 => 01101000 => 11101000 => 11010001
00010111 => 11101000 => 01101000 => 11010000
00011000 => 00011000 => 10011000 => 00110001
00011001 => 10011000 => 00011000 => 00110000
00011010 => 01011000 => 11011000 => 10110001
00011011 => 11011000 => 01011000 => 10110000
00011100 => 00111000 => 10111000 => 01110001
00011101 => 10111000 => 00111000 => 01110000
00011110 => 01111000 => 11111000 => 11110001
00011111 => 11111000 => 01111000 => 11110000
00100000 => 00000100 => 10000100 => 00001001
00100001 => 10000100 => 00000100 => 00001000
00100010 => 01000100 => 11000100 => 10001001
00100011 => 11000100 => 01000100 => 10001000
00100100 => 00100100 => 10100100 => 01001001
00100101 => 10100100 => 00100100 => 01001000
00100110 => 01100100 => 11100100 => 11001001
00100111 => 11100100 => 01100100 => 11001000
00101000 => 00010100 => 10010100 => 00101001
00101001 => 10010100 => 00010100 => 00101000
00101010 => 01010100 => 11010100 => 10101001
00101011 => 11010100 => 01010100 => 10101000
00101100 => 00110100 => 10110100 => 01101001
00101101 => 10110100 => 00110100 => 01101000
00101110 => 01110100 => 11110100 => 11101001
00101111 => 11110100 => 01110100 => 11101000
00110000 => 00001100 => 10001100 => 00011001
00110001 => 10001100 => 00001100 => 00011000
00110010 => 01001100 => 11001100 => 10011001
00110011 => 11001100 => 01001100 => 10011000
00110100 => 00101100 => 10101100 => 01011001
00110101 => 10101100 => 00101100 => 01011000
00110110 => 01101100 => 11101100 => 11011001
00110111 => 11101100 => 01101100 => 11011000
00111000 => 00011100 => 10011100 => 00111001
00111001 => 10011100 => 00011100 => 00111000
00111010 => 01011100 => 11011100 => 10111001
00111011 => 11011100 => 01011100 => 10111000
00111100 => 00111100 => 10111100 => 01111001
00111101 => 10111100 => 00111100 => 01111000
00111110 => 01111100 => 11111100 => 11111001
00111111 => 11111100 => 01111100 => 11111000
01000000 => 00000010 => 10000010 => 00000101
01000001 => 10000010 => 00000010 => 00000100
01000010 => 01000010 => 11000010 => 10000101
01000011 => 11000010 => 01000010 => 10000100
01000100 => 00100010 => 10100010 => 01000101
01000101 => 10100010 => 00100010 => 01000100
01000110 => 01100010 => 11100010 => 11000101
01000111 => 11100010 => 01100010 => 11000100
01001000 => 00010010 => 10010010 => 00100101
01001001 => 10010010 => 00010010 => 00100100
01001010 => 01010010 => 11010010 => 10100101
01001011 => 11010010 => 01010010 => 10100100
01001100 => 00110010 => 10110010 => 01100101
01001101 => 10110010 => 00110010 => 01100100
01001110 => 01110010 => 11110010 => 11100101
01001111 => 11110010 => 01110010 => 11100100
01010000 => 00001010 => 10001010 => 00010101
01010001 => 10001010 => 00001010 => 00010100
01010010 => 01001010 => 11001010 => 10010101
01010011 => 11001010 => 01001010 => 10010100
01010100 => 00101010 => 10101010 => 01010101
01010101 => 10101010 => 00101010 => 01010100
01010110 => 01101010 => 11101010 => 11010101
01010111 => 11101010 => 01101010 => 11010100
01011000 => 00011010 => 10011010 => 00110101
01011001 => 10011010 => 00011010 => 00110100
01011010 => 01011010 => 11011010 => 10110101
01011011 => 11011010 => 01011010 => 10110100
01011100 => 00111010 => 10111010 => 01110101
01011101 => 10111010 => 00111010 => 01110100
01011110 => 01111010 => 11111010 => 11110101
01011111 => 11111010 => 01111010 => 11110100
01100000 => 00000110 => 10000110 => 00001101
01100001 => 10000110 => 00000110 => 00001100
01100010 => 01000110 => 11000110 => 10001101
01100011 => 11000110 => 01000110 => 10001100
01100100 => 00100110 => 10100110 => 01001101
01100101 => 10100110 => 00100110 => 01001100
01100110 => 01100110 => 11100110 => 11001101
01100111 => 11100110 => 01100110 => 11001100
01101000 => 00010110 => 10010110 => 00101101
01101001 => 10010110 => 00010110 => 00101100
01101010 => 01010110 => 11010110 => 10101101
01101011 => 11010110 => 01010110 => 10101100
01101100 => 00110110 => 10110110 => 01101101
01101101 => 10110110 => 00110110 => 01101100
01101110 => 01110110 => 11110110 => 11101101
01101111 => 11110110 => 01110110 => 11101100
01110000 => 00001110 => 10001110 => 00011101
01110001 => 10001110 => 00001110 => 00011100
01110010 => 01001110 => 11001110 => 10011101
01110011 => 11001110 => 01001110 => 10011100
01110100 => 00101110 => 10101110 => 01011101
01110101 => 10101110 => 00101110 => 01011100
01110110 => 01101110 => 11101110 => 11011101
01110111 => 11101110 => 01101110 => 11011100
01111000 => 00011110 => 10011110 => 00111101
01111001 => 10011110 => 00011110 => 00111100
01111010 => 01011110 => 11011110 => 10111101
01111011 => 11011110 => 01011110 => 10111100
01111100 => 00111110 => 10111110 => 01111101
01111101 => 10111110 => 00111110 => 01111100
01111110 => 01111110 => 11111110 => 11111101
01111111 => 11111110 => 01111110 => 11111100
10000000 => 00000001 => 10000001 => 00000011
10000001 => 10000001 => 00000001 => 00000010
10000010 => 01000001 => 11000001 => 10000011
10000011 => 11000001 => 01000001 => 10000010
10000100 => 00100001 => 10100001 => 01000011
10000101 => 10100001 => 00100001 => 01000010
10000110 => 01100001 => 11100001 => 11000011
10000111 => 11100001 => 01100001 => 11000010
10001000 => 00010001 => 10010001 => 00100011
10001001 => 10010001 => 00010001 => 00100010
10001010 => 01010001 => 11010001 => 10100011
10001011 => 11010001 => 01010001 => 10100010
10001100 => 00110001 => 10110001 => 01100011
10001101 => 10110001 => 00110001 => 01100010
10001110 => 01110001 => 11110001 => 11100011
10001111 => 11110001 => 01110001 => 11100010
10010000 => 00001001 => 10001001 => 00010011
10010001 => 10001001 => 00001001 => 00010010
10010010 => 01001001 => 11001001 => 10010011
10010011 => 11001001 => 01001001 => 10010010
10010100 => 00101001 => 10101001 => 01010011
10010101 => 10101001 => 00101001 => 01010010
10010110 => 01101001 => 11101001 => 11010011
10010111 => 11101001 => 01101001 => 11010010
10011000 => 00011001 => 10011001 => 00110011
10011001 => 10011001 => 00011001 => 00110010
10011010 => 01011001 => 11011001 => 10110011
10011011 => 11011001 => 01011001 => 10110010
10011100 => 00111001 => 10111001 => 01110011
10011101 => 10111001 => 00111001 => 01110010
10011110 => 01111001 => 11111001 => 11110011
10011111 => 11111001 => 01111001 => 11110010
10100000 => 00000101 => 10000101 => 00001011
10100001 => 10000101 => 00000101 => 00001010
10100010 => 01000101 => 11000101 => 10001011
10100011 => 11000101 => 01000101 => 10001010
10100100 => 00100101 => 10100101 => 01001011
10100101 => 10100101 => 00100101 => 01001010
10100110 => 01100101 => 11100101 => 11001011
10100111 => 11100101 => 01100101 => 11001010
10101000 => 00010101 => 10010101 => 00101011
10101001 => 10010101 => 00010101 => 00101010
10101010 => 01010101 => 11010101 => 10101011
10101011 => 11010101 => 01010101 => 10101010
10101100 => 00110101 => 10110101 => 01101011
10101101 => 10110101 => 00110101 => 01101010
10101110 => 01110101 => 11110101 => 11101011
10101111 => 11110101 => 01110101 => 11101010
10110000 => 00001101 => 10001101 => 00011011
10110001 => 10001101 => 00001101 => 00011010
10110010 => 01001101 => 11001101 => 10011011
10110011 => 11001101 => 01001101 => 10011010
10110100 => 00101101 => 10101101 => 01011011
10110101 => 10101101 => 00101101 => 01011010
10110110 => 01101101 => 11101101 => 11011011
10110111 => 11101101 => 01101101 => 11011010
10111000 => 00011101 => 10011101 => 00111011
10111001 => 10011101 => 00011101 => 00111010
10111010 => 01011101 => 11011101 => 10111011
10111011 => 11011101 => 01011101 => 10111010
10111100 => 00111101 => 10111101 => 01111011
10111101 => 10111101 => 00111101 => 01111010
10111110 => 01111101 => 11111101 => 11111011
10111111 => 11111101 => 01111101 => 11111010
11000000 => 00000011 => 10000011 => 00000111
11000001 => 10000011 => 00000011 => 00000110
11000010 => 01000011 => 11000011 => 10000111
11000011 => 11000011 => 01000011 => 10000110
11000100 => 00100011 => 10100011 => 01000111
11000101 => 10100011 => 00100011 => 01000110
11000110 => 01100011 => 11100011 => 11000111
11000111 => 11100011 => 01100011 => 11000110
11001000 => 00010011 => 10010011 => 00100111
11001001 => 10010011 => 00010011 => 00100110
11001010 => 01010011 => 11010011 => 10100111
11001011 => 11010011 => 01010011 => 10100110
11001100 => 00110011 => 10110011 => 01100111
11001101 => 10110011 => 00110011 => 01100110
11001110 => 01110011 => 11110011 => 11100111
11001111 => 11110011 => 01110011 => 11100110
11010000 => 00001011 => 10001011 => 00010111
11010001 => 10001011 => 00001011 => 00010110
11010010 => 01001011 => 11001011 => 10010111
11010011 => 11001011 => 01001011 => 10010110
11010100 => 00101011 => 10101011 => 01010111
11010101 => 10101011 => 00101011 => 01010110
11010110 => 01101011 => 11101011 => 11010111
11010111 => 11101011 => 01101011 => 11010110
11011000 => 00011011 => 10011011 => 00110111
11011001 => 10011011 => 00011011 => 00110110
11011010 => 01011011 => 11011011 => 10110111
11011011 => 11011011 => 01011011 => 10110110
11011100 => 00111011 => 10111011 => 01110111
11011101 => 10111011 => 00111011 => 01110110
11011110 => 01111011 => 11111011 => 11110111
11011111 => 11111011 => 01111011 => 11110110
11100000 => 00000111 => 10000111 => 00001111
11100001 => 10000111 => 00000111 => 00001110
11100010 => 01000111 => 11000111 => 10001111
11100011 => 11000111 => 01000111 => 10001110
11100100 => 00100111 => 10100111 => 01001111
11100101 => 10100111 => 00100111 => 01001110
11100110 => 01100111 => 11100111 => 11001111
11100111 => 11100111 => 01100111 => 11001110
11101000 => 00010111 => 10010111 => 00101111
11101001 => 10010111 => 00010111 => 00101110
11101010 => 01010111 => 11010111 => 10101111
11101011 => 11010111 => 01010111 => 10101110
11101100 => 00110111 => 10110111 => 01101111
11101101 => 10110111 => 00110111 => 01101110
11101110 => 01110111 => 11110111 => 11101111
11101111 => 11110111 => 01110111 => 11101110
11110000 => 00001111 => 10001111 => 00011111
11110001 => 10001111 => 00001111 => 00011110
11110010 => 01001111 => 11001111 => 10011111
11110011 => 11001111 => 01001111 => 10011110
11110100 => 00101111 => 10101111 => 01011111
11110101 => 10101111 => 00101111 => 01011110
11110110 => 01101111 => 11101111 => 11011111
11110111 => 11101111 => 01101111 => 11011110
11111000 => 00011111 => 10011111 => 00111111
11111001 => 10011111 => 00011111 => 00111110
11111010 => 01011111 => 11011111 => 10111111
11111011 => 11011111 => 01011111 => 10111110
11111100 => 00111111 => 10111111 => 01111111
11111101 => 10111111 => 00111111 => 01111110
11111110 => 01111111 => 11111111 => 11111111
11111111 => 11111111 => 01111111 => 11111110
000000000 => 000000000 => 100000000 => 000000001
000000001 => 100000000 => 000000000 => 000000000
000000010 => 010000000 => 110000000 => 100000001
000000011 => 110000000 => 010000000 => 100000000
000000100 => 001000000 => 101000000 => 010000001
000000101 => 101000000 => 001000000 => 010000000
000000110 => 011000000 => 111000000 => 110000001
000000111 => 111000000 => 011000000 => 110000000
000001000 => 000100000 => 100100000 => 001000001
000001001 => 100100000 => 000100000 => 001000000
000001010 => 010100000 => 110100000 => 101000001
000001011 => 110100000 => 010100000 => 101000000
000001100 => 001100000 => 101100000 => 011000001
000001101 => 101100000 => 001100000 => 011000000
000001110 => 011100000 => 111100000 => 111000001
000001111 => 111100000 => 011100000 => 111000000
000010000 => 000010000 => 100010000 => 000100001
000010001 => 100010000 => 000010000 => 000100000
000010010 => 010010000 => 110010000 => 100100001
000010011 => 110010000 => 010010000 => 100100000
000010100 => 001010000 => 101010000 => 010100001
000010101 => 101010000 => 001010000 => 010100000
000010110 => 011010000 => 111010000 => 110100001
000010111 => 111010000 => 011010000 => 110100000
000011000 => 000110000 => 100110000 => 001100001
000011001 => 100110000 => 000110000 => 001100000
000011010 => 010110000 => 110110000 => 101100001
000011011 => 110110000 => 010110000 => 101100000
000011100 => 001110000 => 101110000 => 011100001
000011101 => 101110000 => 001110000 => 011100000
000011110 => 011110000 => 111110000 => 111100001
000011111 => 111110000 => 011110000 => 111100000
000100000 => 000001000 => 100001000 => 000010001
000100001 => 100001000 => 000001000 => 000010000
000100010 => 010001000 => 110001000 => 100010001
000100011 => 110001000 => 010001000 => 100010000
000100100 => 001001000 => 101001000 => 010010001
000100101 => 101001000 => 001001000 => 010010000
000100110 => 011001000 => 111001000 => 110010001
000100111 => 111001000 => 011001000 => 110010000
000101000 => 000101000 => 100101000 => 001010001
000101001 => 100101000 => 000101000 => 001010000
000101010 => 010101000 => 110101000 => 101010001
000101011 => 110101000 => 010101000 => 101010000
000101100 => 001101000 => 101101000 => 011010001
000101101 => 101101000 => 001101000 => 011010000
000101110 => 011101000 => 111101000 => 111010001
000101111 => 111101000 => 011101000 => 111010000
000110000 => 000011000 => 100011000 => 000110001
000110001 => 100011000 => 000011000 => 000110000
000110010 => 010011000 => 110011000 => 100110001
000110011 => 110011000 => 010011000 => 100110000
000110100 => 001011000 => 101011000 => 010110001
000110101 => 101011000 => 001011000 => 010110000
000110110 => 011011000 => 111011000 => 110110001
000110111 => 111011000 => 011011000 => 110110000
000111000 => 000111000 => 100111000 => 001110001
000111001 => 100111000 => 000111000 => 001110000
000111010 => 010111000 => 110111000 => 101110001
000111011 => 110111000 => 010111000 => 101110000
000111100 => 001111000 => 101111000 => 011110001
000111101 => 101111000 => 001111000 => 011110000
000111110 => 011111000 => 111111000 => 111110001
000111111 => 111111000 => 011111000 => 111110000
001000000 => 000000100 => 100000100 => 000001001
001000001 => 100000100 => 000000100 => 000001000
001000010 => 010000100 => 110000100 => 100001001
001000011 => 110000100 => 010000100 => 100001000
001000100 => 001000100 => 101000100 => 010001001
001000101 => 101000100 => 001000100 => 010001000
001000110 => 011000100 => 111000100 => 110001001
001000111 => 111000100 => 011000100 => 110001000
001001000 => 000100100 => 100100100 => 001001001
001001001 => 100100100 => 000100100 => 001001000
001001010 => 010100100 => 110100100 => 101001001
001001011 => 110100100 => 010100100 => 101001000
001001100 => 001100100 => 101100100 => 011001001
001001101 => 101100100 => 001100100 => 011001000
001001110 => 011100100 => 111100100 => 111001001
001001111 => 111100100 => 011100100 => 111001000
001010000 => 000010100 => 100010100 => 000101001
001010001 => 100010100 => 000010100 => 000101000
001010010 => 010010100 => 110010100 => 100101001
001010011 => 110010100 => 010010100 => 100101000
001010100 => 001010100 => 101010100 => 010101001
001010101 => 101010100 => 001010100 => 010101000
001010110 => 011010100 => 111010100 => 110101001
001010111 => 111010100 => 011010100 => 110101000
001011000 => 000110100 => 100110100 => 001101001
001011001 => 100110100 => 000110100 => 001101000
001011010 => 010110100 => 110110100 => 101101001
001011011 => 110110100 => 010110100 => 101101000
001011100 => 001110100 => 101110100 => 011101001
001011101 => 101110100 => 001110100 => 011101000
001011110 => 011110100 => 111110100 => 111101001
001011111 => 111110100 => 011110100 => 111101000
001100000 => 000001100 => 100001100 => 000011001
001100001 => 100001100 => 000001100 => 000011000
001100010 => 010001100 => 110001100 => 100011001
001100011 => 110001100 => 010001100 => 100011000
001100100 => 001001100 => 101001100 => 010011001
001100101 => 101001100 => 001001100 => 010011000
001100110 => 011001100 => 111001100 => 110011001
001100111 => 111001100 => 011001100 => 110011000
001101000 => 000101100 => 100101100 => 001011001
001101001 => 100101100 => 000101100 => 001011000
001101010 => 010101100 => 110101100 => 101011001
001101011 => 110101100 => 010101100 => 101011000
001101100 => 001101100 => 101101100 => 011011001
001101101 => 101101100 => 001101100 => 011011000
001101110 => 011101100 => 111101100 => 111011001
001101111 => 111101100 => 011101100 => 111011000
001110000 => 000011100 => 100011100 => 000111001
001110001 => 100011100 => 000011100 => 000111000
001110010 => 010011100 => 110011100 => 100111001
001110011 => 110011100 => 010011100 => 100111000
001110100 => 001011100 => 101011100 => 010111001
001110101 => 101011100 => 001011100 => 010111000
001110110 => 011011100 => 111011100 => 110111001
001110111 => 111011100 => 011011100 => 110111000
001111000 => 000111100 => 100111100 => 001111001
001111001 => 100111100 => 000111100 => 001111000
001111010 => 010111100 => 110111100 => 101111001
001111011 => 110111100 => 010111100 => 101111000
001111100 => 001111100 => 101111100 => 011111001
001111101 => 101111100 => 001111100 => 011111000
001111110 => 011111100 => 111111100 => 111111001
001111111 => 111111100 => 011111100 => 111111000
010000000 => 000000010 => 100000010 => 000000101
010000001 => 100000010 => 000000010 => 000000100
010000010 => 010000010 => 110000010 => 100000101
010000011 => 110000010 => 010000010 => 100000100
010000100 => 001000010 => 101000010 => 010000101
010000101 => 101000010 => 001000010 => 010000100
010000110 => 011000010 => 111000010 => 110000101
010000111 => 111000010 => 011000010 => 110000100
010001000 => 000100010 => 100100010 => 001000101
010001001 => 100100010 => 000100010 => 001000100
010001010 => 010100010 => 110100010 => 101000101
010001011 => 110100010 => 010100010 => 101000100
010001100 => 001100010 => 101100010 => 011000101
010001101 => 101100010 => 001100010 => 011000100
010001110 => 011100010 => 111100010 => 111000101
010001111 => 111100010 => 011100010 => 111000100
010010000 => 000010010 => 100010010 => 000100101
010010001 => 100010010 => 000010010 => 000100100
010010010 => 010010010 => 110010010 => 100100101
010010011 => 110010010 => 010010010 => 100100100
010010100 => 001010010 => 101010010 => 010100101
010010101 => 101010010 => 001010010 => 010100100
010010110 => 011010010 => 111010010 => 110100101
010010111 => 111010010 => 011010010 => 110100100
010011000 => 000110010 => 100110010 => 001100101
010011001 => 100110010 => 000110010 => 001100100
010011010 => 010110010 => 110110010 => 101100101
010011011 => 110110010 => 010110010 => 101100100
010011100 => 001110010 => 101110010 => 011100101
010011101 => 101110010 => 001110010 => 011100100
010011110 => 011110010 => 111110010 => 111100101
010011111 => 111110010 => 011110010 => 111100100
010100000 => 000001010 => 100001010 => 000010101
010100001 => 100001010 => 000001010 => 000010100
010100010 => 010001010 => 110001010 => 100010101
010100011 => 110001010 => 010001010 => 100010100
010100100 => 001001010 => 101001010 => 010010101
010100101 => 101001010 => 001001010 => 010010100
010100110 => 011001010 => 111001010 => 110010101
010100111 => 111001010 => 011001010 => 110010100
010101000 => 000101010 => 100101010 => 001010101
010101001 => 100101010 => 000101010 => 001010100
010101010 => 010101010 => 110101010 => 101010101
010101011 => 110101010 => 010101010 => 101010100
010101100 => 001101010 => 101101010 => 011010101
010101101 => 101101010 => 001101010 => 011010100
010101110 => 011101010 => 111101010 => 111010101
010101111 => 111101010 => 011101010 => 111010100
010110000 => 000011010 => 100011010 => 000110101
010110001 => 100011010 => 000011010 => 000110100
010110010 => 010011010 => 110011010 => 100110101
010110011 => 110011010 => 010011010 => 100110100
010110100 => 001011010 => 101011010 => 010110101
010110101 => 101011010 => 001011010 => 010110100
010110110 => 011011010 => 111011010 => 110110101
010110111 => 111011010 => 011011010 => 110110100
010111000 => 000111010 => 100111010 => 001110101
010111001 => 100111010 => 000111010 => 001110100
010111010 => 010111010 => 110111010 => 101110101
010111011 => 110111010 => 010111010 => 101110100
010111100 => 001111010 => 101111010 => 011110101
010111101 => 101111010 => 001111010 => 011110100
010111110 => 011111010 => 111111010 => 111110101
010111111 => 111111010 => 011111010 => 111110100
011000000 => 000000110 => 100000110 => 000001101
011000001 => 100000110 => 000000110 => 000001100
011000010 => 010000110 => 110000110 => 100001101
011000011 => 110000110 => 010000110 => 100001100
011000100 => 001000110 => 101000110 => 010001101
011000101 => 101000110 => 001000110 => 010001100
011000110 => 011000110 => 111000110 => 110001101
011000111 => 111000110 => 011000110 => 110001100
011001000 => 000100110 => 100100110 => 001001101
011001001 => 100100110 => 000100110 => 001001100
011001010 => 010100110 => 110100110 => 101001101
011001011 => 110100110 => 010100110 => 101001100
011001100 => 001100110 => 101100110 => 011001101
011001101 => 101100110 => 001100110 => 011001100
011001110 => 011100110 => 111100110 => 111001101
011001111 => 111100110 => 011100110 => 111001100
011010000 => 000010110 => 100010110 => 000101101
011010001 => 100010110 => 000010110 => 000101100
011010010 => 010010110 => 110010110 => 100101101
011010011 => 110010110 => 010010110 => 100101100
011010100 => 001010110 => 101010110 => 010101101
011010101 => 101010110 => 001010110 => 010101100
011010110 => 011010110 => 111010110 => 110101101
011010111 => 111010110 => 011010110 => 110101100
011011000 => 000110110 => 100110110 => 001101101
011011001 => 100110110 => 000110110 => 001101100
011011010 => 010110110 => 110110110 => 101101101
011011011 => 110110110 => 010110110 => 101101100
011011100 => 001110110 => 101110110 => 011101101
011011101 => 101110110 => 001110110 => 011101100
011011110 => 011110110 => 111110110 => 111101101
011011111 => 111110110 => 011110110 => 111101100
011100000 => 000001110 => 100001110 => 000011101
011100001 => 100001110 => 000001110 => 000011100
011100010 => 010001110 => 110001110 => 100011101
011100011 => 110001110 => 010001110 => 100011100
011100100 => 001001110 => 101001110 => 010011101
011100101 => 101001110 => 001001110 => 010011100
011100110 => 011001110 => 111001110 => 110011101
011100111 => 111001110 => 011001110 => 110011100
011101000 => 000101110 => 100101110 => 001011101
011101001 => 100101110 => 000101110 => 001011100
011101010 => 010101110 => 110101110 => 101011101
011101011 => 110101110 => 010101110 => 101011100
011101100 => 001101110 => 101101110 => 011011101
011101101 => 101101110 => 001101110 => 011011100
011101110 => 011101110 => 111101110 => 111011101
011101111 => 111101110 => 011101110 => 111011100
011110000 => 000011110 => 100011110 => 000111101
011110001 => 100011110 => 000011110 => 000111100
011110010 => 010011110 => 110011110 => 100111101
011110011 => 110011110 => 010011110 => 100111100
011110100 => 001011110 => 101011110 => 010111101
011110101 => 101011110 => 001011110 => 010111100
011110110 => 011011110 => 111011110 => 110111101
011110111 => 111011110 => 011011110 => 110111100
011111000 => 000111110 => 100111110 => 001111101
011111001 => 100111110 => 000111110 => 001111100
011111010 => 010111110 => 110111110 => 101111101
011111011 => 110111110 => 010111110 => 101111100
011111100 => 001111110 => 101111110 => 011111101
011111101 => 101111110 => 001111110 => 011111100
011111110 => 011111110 => 111111110 => 111111101
011111111 => 111111110 => 011111110 => 111111100
100000000 => 000000001 => 100000001 => 000000011
100000001 => 100000001 => 000000001 => 000000010
100000010 => 010000001 => 110000001 => 100000011
100000011 => 110000001 => 010000001 => 100000010
100000100 => 001000001 => 101000001 => 010000011
100000101 => 101000001 => 001000001 => 010000010
100000110 => 011000001 => 111000001 => 110000011
100000111 => 111000001 => 011000001 => 110000010
100001000 => 000100001 => 100100001 => 001000011
100001001 => 100100001 => 000100001 => 001000010
100001010 => 010100001 => 110100001 => 101000011
100001011 => 110100001 => 010100001 => 101000010
100001100 => 001100001 => 101100001 => 011000011
100001101 => 101100001 => 001100001 => 011000010
100001110 => 011100001 => 111100001 => 111000011
100001111 => 111100001 => 011100001 => 111000010
100010000 => 000010001 => 100010001 => 000100011
100010001 => 100010001 => 000010001 => 000100010
100010010 => 010010001 => 110010001 => 100100011
100010011 => 110010001 => 010010001 => 100100010
100010100 => 001010001 => 101010001 => 010100011
100010101 => 101010001 => 001010001 => 010100010
100010110 => 011010001 => 111010001 => 110100011
100010111 => 111010001 => 011010001 => 110100010
100011000 => 000110001 => 100110001 => 001100011
100011001 => 100110001 => 000110001 => 001100010
100011010 => 010110001 => 110110001 => 101100011
100011011 => 110110001 => 010110001 => 101100010
100011100 => 001110001 => 101110001 => 011100011
100011101 => 101110001 => 001110001 => 011100010
100011110 => 011110001 => 111110001 => 111100011
100011111 => 111110001 => 011110001 => 111100010
100100000 => 000001001 => 100001001 => 000010011
100100001 => 100001001 => 000001001 => 000010010
100100010 => 010001001 => 110001001 => 100010011
100100011 => 110001001 => 010001001 => 100010010
100100100 => 001001001 => 101001001 => 010010011
100100101 => 101001001 => 001001001 => 010010010
100100110 => 011001001 => 111001001 => 110010011
100100111 => 111001001 => 011001001 => 110010010
100101000 => 000101001 => 100101001 => 001010011
100101001 => 100101001 => 000101001 => 001010010
100101010 => 010101001 => 110101001 => 101010011
100101011 => 110101001 => 010101001 => 101010010
100101100 => 001101001 => 101101001 => 011010011
100101101 => 101101001 => 001101001 => 011010010
100101110 => 011101001 => 111101001 => 111010011
100101111 => 111101001 => 011101001 => 111010010
100110000 => 000011001 => 100011001 => 000110011
100110001 => 100011001 => 000011001 => 000110010
100110010 => 010011001 => 110011001 => 100110011
100110011 => 110011001 => 010011001 => 100110010
100110100 => 001011001 => 101011001 => 010110011
100110101 => 101011001 => 001011001 => 010110010
100110110 => 011011001 => 111011001 => 110110011
100110111 => 111011001 => 011011001 => 110110010
100111000 => 000111001 => 100111001 => 001110011
100111001 => 100111001 => 000111001 => 001110010
100111010 => 010111001 => 110111001 => 101110011
100111011 => 110111001 => 010111001 => 101110010
100111100 => 001111001 => 101111001 => 011110011
100111101 => 101111001 => 001111001 => 011110010
100111110 => 011111001 => 111111001 => 111110011
100111111 => 111111001 => 011111001 => 111110010
101000000 => 000000101 => 100000101 => 000001011
101000001 => 100000101 => 000000101 => 000001010
101000010 => 010000101 => 110000101 => 100001011
101000011 => 110000101 => 010000101 => 100001010
101000100 => 001000101 => 101000101 => 010001011
101000101 => 101000101 => 001000101 => 010001010
101000110 => 011000101 => 111000101 => 110001011
101000111 => 111000101 => 011000101 => 110001010
101001000 => 000100101 => 100100101 => 001001011
101001001 => 100100101 => 000100101 => 001001010
101001010 => 010100101 => 110100101 => 101001011
101001011 => 110100101 => 010100101 => 101001010
101001100 => 001100101 => 101100101 => 011001011
101001101 => 101100101 => 001100101 => 011001010
101001110 => 011100101 => 111100101 => 111001011
101001111 => 111100101 => 011100101 => 111001010
101010000 => 000010101 => 100010101 => 000101011
101010001 => 100010101 => 000010101 => 000101010
101010010 => 010010101 => 110010101 => 100101011
101010011 => 110010101 => 010010101 => 100101010
101010100 => 001010101 => 101010101 => 010101011
101010101 => 101010101 => 001010101 => 010101010
101010110 => 011010101 => 111010101 => 110101011
101010111 => 111010101 => 011010101 => 110101010
101011000 => 000110101 => 100110101 => 001101011
101011001 => 100110101 => 000110101 => 001101010
101011010 => 010110101 => 110110101 => 101101011
101011011 => 110110101 => 010110101 => 101101010
101011100 => 001110101 => 101110101 => 011101011
101011101 => 101110101 => 001110101 => 011101010
101011110 => 011110101 => 111110101 => 111101011
101011111 => 111110101 => 011110101 => 111101010
101100000 => 000001101 => 100001101 => 000011011
101100001 => 100001101 => 000001101 => 000011010
101100010 => 010001101 => 110001101 => 100011011
101100011 => 110001101 => 010001101 => 100011010
101100100 => 001001101 => 101001101 => 010011011
101100101 => 101001101 => 001001101 => 010011010
101100110 => 011001101 => 111001101 => 110011011
101100111 => 111001101 => 011001101 => 110011010
101101000 => 000101101 => 100101101 => 001011011
101101001 => 100101101 => 000101101 => 001011010
101101010 => 010101101 => 110101101 => 101011011
101101011 => 110101101 => 010101101 => 101011010
101101100 => 001101101 => 101101101 => 011011011
101101101 => 101101101 => 001101101 => 011011010
101101110 => 011101101 => 111101101 => 111011011
101101111 => 111101101 => 011101101 => 111011010
101110000 => 000011101 => 100011101 => 000111011
101110001 => 100011101 => 000011101 => 000111010
101110010 => 010011101 => 110011101 => 100111011
101110011 => 110011101 => 010011101 => 100111010
101110100 => 001011101 => 101011101 => 010111011
101110101 => 101011101 => 001011101 => 010111010
101110110 => 011011101 => 111011101 => 110111011
101110111 => 111011101 => 011011101 => 110111010
101111000 => 000111101 => 100111101 => 001111011
101111001 => 100111101 => 000111101 => 001111010
101111010 => 010111101 => 110111101 => 101111011
101111011 => 110111101 => 010111101 => 101111010
101111100 => 001111101 => 101111101 => 011111011
101111101 => 101111101 => 001111101 => 011111010
101111110 => 011111101 => 111111101 => 111111011
101111111 => 111111101 => 011111101 => 111111010
110000000 => 000000011 => 100000011 => 000000111
110000001 => 100000011 => 000000011 => 000000110
110000010 => 010000011 => 110000011 => 100000111
110000011 => 110000011 => 010000011 => 100000110
110000100 => 001000011 => 101000011 => 010000111
110000101 => 101000011 => 001000011 => 010000110
110000110 => 011000011 => 111000011 => 110000111
110000111 => 111000011 => 011000011 => 110000110
110001000 => 000100011 => 100100011 => 001000111
110001001 => 100100011 => 000100011 => 001000110
110001010 => 010100011 => 110100011 => 101000111
110001011 => 110100011 => 010100011 => 101000110
110001100 => 001100011 => 101100011 => 011000111
110001101 => 101100011 => 001100011 => 011000110
110001110 => 011100011 => 111100011 => 111000111
110001111 => 111100011 => 011100011 => 111000110
110010000 => 000010011 => 100010011 => 000100111
110010001 => 100010011 => 000010011 => 000100110
110010010 => 010010011 => 110010011 => 100100111
110010011 => 110010011 => 010010011 => 100100110
110010100 => 001010011 => 101010011 => 010100111
110010101 => 101010011 => 001010011 => 010100110
110010110 => 011010011 => 111010011 => 110100111
110010111 => 111010011 => 011010011 => 110100110
110011000 => 000110011 => 100110011 => 001100111
110011001 => 100110011 => 000110011 => 001100110
110011010 => 010110011 => 110110011 => 101100111
110011011 => 110110011 => 010110011 => 101100110
110011100 => 001110011 => 101110011 => 011100111
110011101 => 101110011 => 001110011 => 011100110
110011110 => 011110011 => 111110011 => 111100111
110011111 => 111110011 => 011110011 => 111100110
110100000 => 000001011 => 100001011 => 000010111
110100001 => 100001011 => 000001011 => 000010110
110100010 => 010001011 => 110001011 => 100010111
110100011 => 110001011 => 010001011 => 100010110
110100100 => 001001011 => 101001011 => 010010111
110100101 => 101001011 => 001001011 => 010010110
110100110 => 011001011 => 111001011 => 110010111
110100111 => 111001011 => 011001011 => 110010110
110101000 => 000101011 => 100101011 => 001010111
110101001 => 100101011 => 000101011 => 001010110
110101010 => 010101011 => 110101011 => 101010111
110101011 => 110101011 => 010101011 => 101010110
110101100 => 001101011 => 101101011 => 011010111
110101101 => 101101011 => 001101011 => 011010110
110101110 => 011101011 => 111101011 => 111010111
110101111 => 111101011 => 011101011 => 111010110
110110000 => 000011011 => 100011011 => 000110111
110110001 => 100011011 => 000011011 => 000110110
110110010 => 010011011 => 110011011 => 100110111
110110011 => 110011011 => 010011011 => 100110110
110110100 => 001011011 => 101011011 => 010110111
110110101 => 101011011 => 001011011 => 010110110
110110110 => 011011011 => 111011011 => 110110111
110110111 => 111011011 => 011011011 => 110110110
110111000 => 000111011 => 100111011 => 001110111
110111001 => 100111011 => 000111011 => 001110110
110111010 => 010111011 => 110111011 => 101110111
110111011 => 110111011 => 010111011 => 101110110
110111100 => 001111011 => 101111011 => 011110111
110111101 => 101111011 => 001111011 => 011110110
110111110 => 011111011 => 111111011 => 111110111
110111111 => 111111011 => 011111011 => 111110110
111000000 => 000000111 => 100000111 => 000001111
111000001 => 100000111 => 000000111 => 000001110
111000010 => 010000111 => 110000111 => 100001111
111000011 => 110000111 => 010000111 => 100001110
111000100 => 001000111 => 101000111 => 010001111
111000101 => 101000111 => 001000111 => 010001110
111000110 => 011000111 => 111000111 => 110001111
111000111 => 111000111 => 011000111 => 110001110
111001000 => 000100111 => 100100111 => 001001111
111001001 => 100100111 => 000100111 => 001001110
111001010 => 010100111 => 110100111 => 101001111
111001011 => 110100111 => 010100111 => 101001110
111001100 => 001100111 => 101100111 => 011001111
111001101 => 101100111 => 001100111 => 011001110
111001110 => 011100111 => 111100111 => 111001111
111001111 => 111100111 => 011100111 => 111001110
111010000 => 000010111 => 100010111 => 000101111
111010001 => 100010111 => 000010111 => 000101110
111010010 => 010010111 => 110010111 => 100101111
111010011 => 110010111 => 010010111 => 100101110
111010100 => 001010111 => 101010111 => 010101111
111010101 => 101010111 => 001010111 => 010101110
111010110 => 011010111 => 111010111 => 110101111
111010111 => 111010111 => 011010111 => 110101110
111011000 => 000110111 => 100110111 => 001101111
111011001 => 100110111 => 000110111 => 001101110
111011010 => 010110111 => 110110111 => 101101111
111011011 => 110110111 => 010110111 => 101101110
111011100 => 001110111 => 101110111 => 011101111
111011101 => 101110111 => 001110111 => 011101110
111011110 => 011110111 => 111110111 => 111101111
111011111 => 111110111 => 011110111 => 111101110
111100000 => 000001111 => 100001111 => 000011111
111100001 => 100001111 => 000001111 => 000011110
111100010 => 010001111 => 110001111 => 100011111
111100011 => 110001111 => 010001111 => 100011110
111100100 => 001001111 => 101001111 => 010011111
111100101 => 101001111 => 001001111 => 010011110
111100110 => 011001111 => 111001111 => 110011111
111100111 => 111001111 => 011001111 => 110011110
111101000 => 000101111 => 100101111 => 001011111
111101001 => 100101111 => 000101111 => 001011110
111101010 => 010101111 => 110101111 => 101011111
111101011 => 110101111 => 010101111 => 101011110
111101100 => 001101111 => 101101111 => 011011111
111101101 => 101101111 => 001101111 => 011011110
111101110 => 011101111 => 111101111 => 111011111
111101111 => 111101111 => 011101111 => 111011110
111110000 => 000011111 => 100011111 => 000111111
111110001 => 100011111 => 000011111 => 000111110
111110010 => 010011111 => 110011111 => 100111111
111110011 => 110011111 => 010011111 => 100111110
111110100 => 001011111 => 101011111 => 010111111
111110101 => 101011111 => 001011111 => 010111110
111110110 => 011011111 => 111011111 => 110111111
111110111 => 111011111 => 011011111 => 110111110
111111000 => 000111111 => 100111111 => 001111111
111111001 => 100111111 => 000111111 => 001111110
111111010 => 010111111 => 110111111 => 101111111
111111011 => 110111111 => 010111111 => 101111110
111111100 => 001111111 => 101111111 => 011111111
111111101 => 101111111 => 001111111 => 011111110
111111110 => 011111111 => 111111111 => 111111111
111111111 => 111111111 => 011111111 => 111111110
1010101010 => 0101010101 => 1101010101 => 1010101011
1010101100 => 0011010101 => 1011010101 => 0110101011
1010110010 => 0100110101 => 1100110101 => 1001101011
1010110100 => 0010110101 => 1010110101 => 0101101011
1010111000 => 0001110101 => 1001110101 => 0011101011
1011001010 => 0101001101 => 1101001101 => 1010011011
1011001100 => 0011001101 => 1011001101 => 0110011011
1011010010 => 0100101101 => 1100101101 => 1001011011
1011010100 => 0010101101 => 1010101101 => 0101011011
1011011000 => 0001101101 => 1001101101 => 0011011011
1011100010 => 0100011101 => 1100011101 => 1000111011
1011100100 => 0010011101 => 1010011101 => 0100111011
1011101000 => 0001011101 => 1001011101 => 0010111011
1011110000 => 0000111101 => 1000111101 => 0001111011
1100101010 => 0101010011 => 1101010011 => 1010100111
1100101100 => 0011010011 => 1011010011 => 0110100111
1100110010 => 0100110011 => 1100110011 => 1001100111
1100110100 => 0010110011 => 1010110011 => 0101100111
1100111000 => 0001110011 => 1001110011 => 0011100111
1101001010 => 0101001011 => 1101001011 => 1010010111
1101001100 => 0011001011 => 1011001011 => 0110010111
1101010010 => 0100101011 => 1100101011 => 1001010111
1101010100 => 0010101011 => 1010101011 => 0101010111
1101011000 => 0001101011 => 1001101011 => 0011010111
1101100010 => 0100011011 => 1100011011 => 1000110111
1101100100 => 0010011011 => 1010011011 => 0100110111
1101101000 => 0001011011 => 1001011011 => 0010110111
1101110000 => 0000111011 => 1000111011 => 0001110111
1110001010 => 0101000111 => 1101000111 => 1010001111
1110001100 => 0011000111 => 1011000111 => 0110001111
1110010010 => 0100100111 => 1100100111 => 1001001111
1110010100 => 0010100111 => 1010100111 => 0101001111
1110011000 => 0001100111 => 1001100111 => 0011001111
1110100010 => 0100010111 => 1100010111 => 1000101111
1110100100 => 0010010111 => 1010010111 => 0100101111
1110101000 => 0001010111 => 1001010111 => 0010101111
1110110000 => 0000110111 => 1000110111 => 0001101111
1111000010 => 0100001111 => 1100001111 => 1000011111
1111000100 => 0010001111 => 1010001111 => 0100011111
1111001000 => 0001001111 => 1001001111 => 0010011111
1111010000 => 0000101111 => 1000101111 => 0001011111
1111100000 => 0000011111 => 1000011111 => 0000111111
101010101010 => 010101010101 => 110101010101 => 101010101011
101010101100 => 001101010101 => 101101010101 => 011010101011
101010110010 => 010011010101 => 110011010101 => 100110101011
101010110100 => 001011010101 => 101011010101 => 010110101011
101010111000 => 000111010101 => 100111010101 => 001110101011
101011001010 => 010100110101 => 110100110101 => 101001101011
101011001100 => 001100110101 => 101100110101 => 011001101011
101011010010 => 010010110101 => 110010110101 => 100101101011
101011010100 => 001010110101 => 101010110101 => 010101101011
101011011000 => 000110110101 => 100110110101 => 001101101011
101011100010 => 010001110101 => 110001110101 => 100011101011
101011100100 => 001001110101 => 101001110101 => 010011101011
101011101000 => 000101110101 => 100101110101 => 001011101011
101011110000 => 000011110101 => 100011110101 => 000111101011
101100101010 => 010101001101 => 110101001101 => 101010011011
101100101100 => 001101001101 => 101101001101 => 011010011011
101100110010 => 010011001101 => 110011001101 => 100110011011
101100110100 => 001011001101 => 101011001101 => 010110011011
101100111000 => 000111001101 => 100111001101 => 001110011011
101101001010 => 010100101101 => 110100101101 => 101001011011
101101001100 => 001100101101 => 101100101101 => 011001011011
101101010010 => 010010101101 => 110010101101 => 100101011011
101101010100 => 001010101101 => 101010101101 => 010101011011
101101011000 => 000110101101 => 100110101101 => 001101011011
101101100010 => 010001101101 => 110001101101 => 100011011011
101101100100 => 001001101101 => 101001101101 => 010011011011
101101101000 => 000101101101 => 100101101101 => 001011011011
101101110000 => 000011101101 => 100011101101 => 000111011011
101110001010 => 010100011101 => 110100011101 => 101000111011
101110001100 => 001100011101 => 101100011101 => 011000111011
101110010010 => 010010011101 => 110010011101 => 100100111011
101110010100 => 001010011101 => 101010011101 => 010100111011
101110011000 => 000110011101 => 100110011101 => 001100111011
101110100010 => 010001011101 => 110001011101 => 100010111011
101110100100 => 001001011101 => 101001011101 => 010010111011
101110101000 => 000101011101 => 100101011101 => 001010111011
101110110000 => 000011011101 => 100011011101 => 000110111011
101111000010 => 010000111101 => 110000111101 => 100001111011
101111000100 => 001000111101 => 101000111101 => 010001111011
101111001000 => 000100111101 => 100100111101 => 001001111011
101111010000 => 000010111101 => 100010111101 => 000101111011
101111100000 => 000001111101 => 100001111101 => 000011111011
110010101010 => 010101010011 => 110101010011 => 101010100111
110010101100 => 001101010011 => 101101010011 => 011010100111
110010110010 => 010011010011 => 110011010011 => 100110100111
110010110100 => 001011010011 => 101011010011 => 010110100111
110010111000 => 000111010011 => 100111010011 => 001110100111
110011001010 => 010100110011 => 110100110011 => 101001100111
110011001100 => 001100110011 => 101100110011 => 011001100111
110011010010 => 010010110011 => 110010110011 => 100101100111
110011010100 => 001010110011 => 101010110011 => 010101100111
110011011000 => 000110110011 => 100110110011 => 001101100111
110011100010 => 010001110011 => 110001110011 => 100011100111
110011100100 => 001001110011 => 101001110011 => 010011100111
110011101000 => 000101110011 => 100101110011 => 001011100111
110011110000 => 000011110011 => 100011110011 => 000111100111
110100101010 => 010101001011 => 110101001011 => 101010010111
110100101100 => 001101001011 => 101101001011 => 011010010111
110100110010 => 010011001011 => 110011001011 => 100110010111
110100110100 => 001011001011 => 101011001011 => 010110010111
110100111000 => 000111001011 => 100111001011 => 001110010111
110101001010 => 010100101011 => 110100101011 => 101001010111
110101001100 => 001100101011 => 101100101011 => 011001010111
110101010010 => 010010101011 => 110010101011 => 100101010111
110101010100 => 001010101011 => 101010101011 => 010101010111
110101011000 => 000110101011 => 100110101011 => 001101010111
110101100010 => 010001101011 => 110001101011 => 100011010111
110101100100 => 001001101011 => 101001101011 => 010011010111
110101101000 => 000101101011 => 100101101011 => 001011010111
110101110000 => 000011101011 => 100011101011 => 000111010111
110110001010 => 010100011011 => 110100011011 => 101000110111
110110001100 => 001100011011 => 101100011011 => 011000110111
110110010010 => 010010011011 => 110010011011 => 100100110111
110110010100 => 001010011011 => 101010011011 => 010100110111
110110011000 => 000110011011 => 100110011011 => 001100110111
110110100010 => 010001011011 => 110001011011 => 100010110111
110110100100 => 001001011011 => 101001011011 => 010010110111
110110101000 => 000101011011 => 100101011011 => 001010110111
110110110000 => 000011011011 => 100011011011 => 000110110111
110111000010 => 010000111011 => 110000111011 => 100001110111
110111000100 => 001000111011 => 101000111011 => 010001110111
110111001000 => 000100111011 => 100100111011 => 001001110111
110111010000 => 000010111011 => 100010111011 => 000101110111
110111100000 => 000001111011 => 100001111011 => 000011110111
111000101010 => 010101000111 => 110101000111 => 101010001111
111000101100 => 001101000111 => 101101000111 => 011010001111
111000110010 => 010011000111 => 110011000111 => 100110001111
111000110100 => 001011000111 => 101011000111 => 010110001111
111000111000 => 000111000111 => 100111000111 => 001110001111
111001001010 => 010100100111 => 110100100111 => 101001001111
111001001100 => 001100100111 => 101100100111 => 011001001111
111001010010 => 010010100111 => 110010100111 => 100101001111
111001010100 => 001010100111 => 101010100111 => 010101001111
111001011000 => 000110100111 => 100110100111 => 001101001111
111001100010 => 010001100111 => 110001100111 => 100011001111
111001100100 => 001001100111 => 101001100111 => 010011001111
111001101000 => 000101100111 => 100101100111 => 001011001111
111001110000 => 000011100111 => 100011100111 => 000111001111
111010001010 => 010100010111 => 110100010111 => 101000101111
111010001100 => 001100010111 => 101100010111 => 011000101111
111010010010 => 010010010111 => 110010010111 => 100100101111
111010010100 => 001010010111 => 101010010111 => 010100101111
111010011000 => 000110010111 => 100110010111 => 001100101111
111010100010 => 010001010111 => 110001010111 => 100010101111
111010100100 => 001001010111 => 101001010111 => 010010101111
111010101000 => 000101010111 => 100101010111 => 001010101111
111010110000 => 000011010111 => 100011010111 => 000110101111
111011000010 => 010000110111 => 110000110111 => 100001101111
111011000100 => 001000110111 => 101000110111 => 010001101111
111011001000 => 000100110111 => 100100110111 => 001001101111
111011010000 => 000010110111 => 100010110111 => 000101101111
111011100000 => 000001110111 => 100001110111 => 000011101111
111100001010 => 010100001111 => 110100001111 => 101000011111
111100001100 => 001100001111 => 101100001111 => 011000011111
111100010010 => 010010001111 => 110010001111 => 100100011111
111100010100 => 001010001111 => 101010001111 => 010100011111
111100011000 => 000110001111 => 100110001111 => 001100011111
111100100010 => 010001001111 => 110001001111 => 100010011111
111100100100 => 001001001111 => 101001001111 => 010010011111
111100101000 => 000101001111 => 100101001111 => 001010011111
111100110000 => 000011001111 => 100011001111 => 000110011111
111101000010 => 010000101111 => 110000101111 => 100001011111
111101000100 => 001000101111 => 101000101111 => 010001011111
111101001000 => 000100101111 => 100100101111 => 001001011111
111101010000 => 000010101111 => 100010101111 => 000101011111
111101100000 => 000001101111 => 100001101111 => 000011011111
111110000010 => 010000011111 => 110000011111 => 100000111111
111110000100 => 001000011111 => 101000011111 => 010000111111
111110001000 => 000100011111 => 100100011111 => 001000111111
111110010000 => 000010011111 => 100010011111 => 000100111111
111110100000 => 000001011111 => 100001011111 => 000010111111
111111000000 => 000000111111 => 100000111111 => 000001111111
10101011010100 => 00101011010101 => 10101011010101 => 01010110101011
10101110010100 => 00101001110101 => 10101001110101 => 01010011101011
10101111000100 => 00100011110101 => 10100011110101 => 01000111101011
10101111010000 => 00001011110101 => 10001011110101 => 00010111101011
10111010010100 => 00101001011101 => 10101001011101 => 01010010111011
10111011000100 => 00100011011101 => 10100011011101 => 01000110111011
10111011010000 => 00001011011101 => 10001011011101 => 00010110111011
10111100110000 => 00001100111101 => 10001100111101 => 00011001111011
10111110000100 => 00100001111101 => 10100001111101 => 01000011111011
10111110010000 => 00001001111101 => 10001001111101 => 00010011111011
10111111000000 => 00000011111101 => 10000011111101 => 00000111111011
11101001100100 => 00100110010111 => 10100110010111 => 01001100101111
11101010010100 => 00101001010111 => 10101001010111 => 01010010101111
11101011000100 => 00100011010111 => 10100011010111 => 01000110101111
11101011010000 => 00001011010111 => 10001011010111 => 00010110101111
11101110000100 => 00100001110111 => 10100001110111 => 01000011101111
1111111111 => 1111111111 => 0111111111 => 1111111110
1111111110 => 0111111111 => 1111111111 => 1111111111
1111111101 => 1011111111 => 0011111111 => 0111111110
1111111100 => 0011111111 => 1011111111 => 0111111111
1111111011 => 1101111111 => 0101111111 => 1011111110
1111111010 => 0101111111 => 1101111111 => 1011111111
1111111001 => 1001111111 => 0001111111 => 0011111110
1111111000 => 0001111111 => 1001111111 => 0011111111
1111110111 => 1110111111 => 0110111111 => 1101111110
1111110110 => 0110111111 => 1110111111 => 1101111111
1111110101 => 1010111111 => 0010111111 => 0101111110
1111110100 => 0010111111 => 1010111111 => 0101111111
1111110010 => 0100111111 => 1100111111 => 1001111111
1111110001 => 1000111111 => 0000111111 => 0001111110
1111110000 => 0000111111 => 1000111111 => 0001111111
1111101101 => 1011011111 => 0011011111 => 0110111110
1111101100 => 0011011111 => 1011011111 => 0110111111
1111101011 => 1101011111 => 0101011111 => 1010111110
1111101010 => 0101011111 => 1101011111 => 1010111111
1111101001 => 1001011111 => 0001011111 => 0010111110
1111101000 => 0001011111 => 1001011111 => 0010111111
1111100111 => 1110011111 => 0110011111 => 1100111110
1111100110 => 0110011111 => 1110011111 => 1100111111
1111100001 => 1000011111 => 0000011111 => 0000111110
1111011011 => 1101101111 => 0101101111 => 1011011110
1111011010 => 0101101111 => 1101101111 => 1011011111
1111010111 => 1110101111 => 0110101111 => 1101011110
1111010001 => 1000101111 => 0000101111 => 0001011110
1111001011 => 1101001111 => 0101001111 => 1010011110
1111001010 => 0101001111 => 1101001111 => 1010011111
1111000011 => 1100001111 => 0100001111 => 1000011110
1111000001 => 1000001111 => 0000001111 => 0000011110
1111000000 => 0000001111 => 1000001111 => 0000011111
1110111101 => 1011110111 => 0011110111 => 0111101110
1110111100 => 0011110111 => 1011110111 => 0111101111
1110111011 => 1101110111 => 0101110111 => 1011101110
1110111010 => 0101110111 => 1101110111 => 1011101111
1110110111 => 1110110111 => 0110110111 => 1101101110
1110110110 => 0110110111 => 1110110111 => 1101101111
1110110101 => 1010110111 => 0010110111 => 0101101110
1110110100 => 0010110111 => 1010110111 => 0101101111
1110110001 => 1000110111 => 0000110111 => 0001101110
1110101101 => 1011010111 => 0011010111 => 0110101110
1110101100 => 0011010111 => 1011010111 => 0110101111
1110101011 => 1101010111 => 0101010111 => 1010101110
1110101010 => 0101010111 => 1101010111 => 1010101111
1110101001 => 1001010111 => 0001010111 => 0010101110
1110100101 => 1010010111 => 0010010111 => 0100101110
1110100001 => 1000010111 => 0000010111 => 0000101110
1110100000 => 0000010111 => 1000010111 => 0000101111
1110011111 => 1111100111 => 0111100111 => 1111001110
1110011110 => 0111100111 => 1111100111 => 1111001111
1110011001 => 1001100111 => 0001100111 => 0011001110
1110010101 => 1010100111 => 0010100111 => 0101001110
1110010001 => 1000100111 => 0000100111 => 0001001110
1110001110 => 0111000111 => 1111000111 => 1110001111
1110001101 => 1011000111 => 0011000111 => 0110001110
1110001011 => 1101000111 => 0101000111 => 1010001110
1110000111 => 1110000111 => 0110000111 => 1100001110
1110000110 => 0110000111 => 1110000111 => 1100001111
1110000101 => 1010000111 => 0010000111 => 0100001110
1110000100 => 0010000111 => 1010000111 => 0100001111
1110000010 => 0100000111 => 1100000111 => 1000001111
1110000001 => 1000000111 => 0000000111 => 0000001110
1110000000 => 0000000111 => 1000000111 => 0000001111
1101111110 => 0111111011 => 1111111011 => 1111110111
1101111011 => 1101111011 => 0101111011 => 1011110110
1101111010 => 0101111011 => 1101111011 => 1011110111
1101111001 => 1001111011 => 0001111011 => 0011110110
1101110111 => 1110111011 => 0110111011 => 1101110110
1101110110 => 0110111011 => 1110111011 => 1101110111
1101101011 => 1101011011 => 0101011011 => 1010110110
1101100011 => 1100011011 => 0100011011 => 1000110110
1101100001 => 1000011011 => 0000011011 => 0000110110
1101100000 => 0000011011 => 1000011011 => 0000110111
1101011111 => 1111101011 => 0111101011 => 1111010110
1101011011 => 1101101011 => 0101101011 => 1011010110
1101011010 => 0101101011 => 1101101011 => 1011010111
1101010111 => 1110101011 => 0110101011 => 1101010110
1101010101 => 1010101011 => 0010101011 => 0101010110
1101010011 => 1100101011 => 0100101011 => 1001010110
1101010001 => 1000101011 => 0000101011 => 0001010110
1101001111 => 1111001011 => 0111001011 => 1110010110
1101001110 => 0111001011 => 1111001011 => 1110010111
1101001101 => 1011001011 => 0011001011 => 0110010110
1101001011 => 1101001011 => 0101001011 => 1010010110
1101001001 => 1001001011 => 0001001011 => 0010010110
1101001000 => 0001001011 => 1001001011 => 0010010111
1101000111 => 1110001011 => 0110001011 => 1100010110
1101000110 => 0110001011 => 1110001011 => 1100010111
1101000011 => 1100001011 => 0100001011 => 1000010110
1101000010 => 0100001011 => 1100001011 => 1000010111
1101000001 => 1000001011 => 0000001011 => 0000010110
1101000000 => 0000001011 => 1000001011 => 0000010111
1100111001 => 1001110011 => 0001110011 => 0011100110
1100110101 => 1010110011 => 0010110011 => 0101100110
1100110011 => 1100110011 => 0100110011 => 1001100110
1100110001 => 1000110011 => 0000110011 => 0001100110
1100110000 => 0000110011 => 1000110011 => 0001100111
1100101110 => 0111010011 => 1111010011 => 1110100111
1100101101 => 1011010011 => 0011010011 => 0110100110
1100101011 => 1101010011 => 0101010011 => 1010100110
1100100111 => 1110010011 => 0110010011 => 1100100110
1100100110 => 0110010011 => 1110010011 => 1100100111
1100100101 => 1010010011 => 0010010011 => 0100100110
1100100100 => 0010010011 => 1010010011 => 0100100111
1100100011 => 1100010011 => 0100010011 => 1000100110
1100100010 => 0100010011 => 1100010011 => 1000100111
1100011111 => 1111100011 => 0111100011 => 1111000110
1100011110 => 0111100011 => 1111100011 => 1111000111
1100011011 => 1101100011 => 0101100011 => 1011000110
1100011010 => 0101100011 => 1101100011 => 1011000111
1100011001 => 1001100011 => 0001100011 => 0011000110
1100010111 => 1110100011 => 0110100011 => 1101000110
1100010110 => 0110100011 => 1110100011 => 1101000111
1100010011 => 1100100011 => 0100100011 => 1001000110
1100010010 => 0100100011 => 1100100011 => 1001000111
1100001111 => 1111000011 => 0111000011 => 1110000110
1100001110 => 0111000011 => 1111000011 => 1110000111
1100001101 => 1011000011 => 0011000011 => 0110000110
1100001100 => 0011000011 => 1011000011 => 0110000111
1100001011 => 1101000011 => 0101000011 => 1010000110
1100001010 => 0101000011 => 1101000011 => 1010000111
1100000111 => 1110000011 => 0110000011 => 1100000110
1100000110 => 0110000011 => 1110000011 => 1100000111
1100000010 => 0100000011 => 1100000011 => 1000000111
1100000001 => 1000000011 => 0000000011 => 0000000110
1100000000 => 0000000011 => 1000000011 => 0000000111
1011111111 => 1111111101 => 0111111101 => 1111111010
1011111110 => 0111111101 => 1111111101 => 1111111011
1011111101 => 1011111101 => 0011111101 => 0111111010
1011111100 => 0011111101 => 1011111101 => 0111111011
1011111011 => 1101111101 => 0101111101 => 1011111010
1011111010 => 0101111101 => 1101111101 => 1011111011
1011110111 => 1110111101 => 0110111101 => 1101111010
1011110001 => 1000111101 => 0000111101 => 0001111010
1011101001 => 1001011101 => 0001011101 => 0010111010
1011100101 => 1010011101 => 0010011101 => 0100111010
1011100011 => 1100011101 => 0100011101 => 1000111010
1011100001 => 1000011101 => 0000011101 => 0000111010
1011100000 => 0000011101 => 1000011101 => 0000111011
1011011111 => 1111101101 => 0111101101 => 1111011010
1011011001 => 1001101101 => 0001101101 => 0011011010
1011010111 => 1110101101 => 0110101101 => 1101011010
1011010101 => 1010101101 => 0010101101 => 0101011010
1011010011 => 1100101101 => 0100101101 => 1001011010
1011010001 => 1000101101 => 0000101101 => 0001011010
1011001101 => 1011001101 => 0011001101 => 0110011010
1011001011 => 1101001101 => 0101001101 => 1010011010
1011000111 => 1110001101 => 0110001101 => 1100011010
1011000101 => 1010001101 => 0010001101 => 0100011010
1011000100 => 0010001101 => 1010001101 => 0100011011
1011000001 => 1000001101 => 0000001101 => 0000011010
1011000000 => 0000001101 => 1000001101 => 0000011011
1010111111 => 1111110101 => 0111110101 => 1111101010
1010111110 => 0111110101 => 1111110101 => 1111101011
1010111001 => 1001110101 => 0001110101 => 0011101010
1010110111 => 1110110101 => 0110110101 => 1101101010
1010110101 => 1010110101 => 0010110101 => 0101101010
1010110011 => 1100110101 => 0100110101 => 1001101010
1010110001 => 1000110101 => 0000110101 => 0001101010
1010110000 => 0000110101 => 1000110101 => 0001101011
1010101111 => 1111010101 => 0111010101 => 1110101010
1010101101 => 1011010101 => 0011010101 => 0110101010
1010101011 => 1101010101 => 0101010101 => 1010101010
1010101001 => 1001010101 => 0001010101 => 0010101010
1010101000 => 0001010101 => 1001010101 => 0010101011
1010100111 => 1110010101 => 0110010101 => 1100101010
1010100110 => 0110010101 => 1110010101 => 1100101011
1010100101 => 1010010101 => 0010010101 => 0100101010
1010100100 => 0010010101 => 1010010101 => 0100101011
1010100011 => 1100010101 => 0100010101 => 1000101010
1010100010 => 0100010101 => 1100010101 => 1000101011
1010100001 => 1000010101 => 0000010101 => 0000101010
1010100000 => 0000010101 => 1000010101 => 0000101011
1010011101 => 1011100101 => 0011100101 => 0111001010
1010011011 => 1101100101 => 0101100101 => 1011001010
1010011010 => 0101100101 => 1101100101 => 1011001011
1010010111 => 1110100101 => 0110100101 => 1101001010
1010010110 => 0110100101 => 1110100101 => 1101001011
1010010101 => 1010100101 => 0010100101 => 0101001010
1010010100 => 0010100101 => 1010100101 => 0101001011
1010010001 => 1000100101 => 0000100101 => 0001001010
1010001111 => 1111000101 => 0111000101 => 1110001010
1010001110 => 0111000101 => 1111000101 => 1110001011
1010001011 => 1101000101 => 0101000101 => 1010001010
1010000101 => 1010000101 => 0010000101 => 0100001010
1010000001 => 1000000101 => 0000000101 => 0000001010
1010000000 => 0000000101 => 1000000101 => 0000001011
1001111111 => 1111111001 => 0111111001 => 1111110010
1001111110 => 0111111001 => 1111111001 => 1111110011
1001111011 => 1101111001 => 0101111001 => 1011110010
1001111010 => 0101111001 => 1101111001 => 1011110011
1001111001 => 1001111001 => 0001111001 => 0011110010
1001111000 => 0001111001 => 1001111001 => 0011110011
1001110100 => 0010111001 => 1010111001 => 0101110011
1001110011 => 1100111001 => 0100111001 => 1001110010
1001110010 => 0100111001 => 1100111001 => 1001110011
1001110001 => 1000111001 => 0000111001 => 0001110010
1001101101 => 1011011001 => 0011011001 => 0110110010
1001101100 => 0011011001 => 1011011001 => 0110110011
1001101011 => 1101011001 => 0101011001 => 1010110010
1001101010 => 0101011001 => 1101011001 => 1010110011
1001100111 => 1110011001 => 0110011001 => 1100110010
1001100110 => 0110011001 => 1110011001 => 1100110011
1001100101 => 1010011001 => 0010011001 => 0100110010
1001100100 => 0010011001 => 1010011001 => 0100110011
1001100011 => 1100011001 => 0100011001 => 1000110010
1001100010 => 0100011001 => 1100011001 => 1000110011
1001100001 => 1000011001 => 0000011001 => 0000110010
1001100000 => 0000011001 => 1000011001 => 0000110011
1001011110 => 0111101001 => 1111101001 => 1111010011
1001011011 => 1101101001 => 0101101001 => 1011010010
1001011010 => 0101101001 => 1101101001 => 1011010011
1001011001 => 1001101001 => 0001101001 => 0011010010
1001011000 => 0001101001 => 1001101001 => 0011010011
1001010111 => 1110101001 => 0110101001 => 1101010010
1001010110 => 0110101001 => 1110101001 => 1101010011
1001010011 => 1100101001 => 0100101001 => 1001010010
1001010010 => 0100101001 => 1100101001 => 1001010011
1001001111 => 1111001001 => 0111001001 => 1110010010
1001001110 => 0111001001 => 1111001001 => 1110010011
1001001101 => 1011001001 => 0011001001 => 0110010010
1001001100 => 0011001001 => 1011001001 => 0110010011
1001000111 => 1110001001 => 0110001001 => 1100010010
1001000001 => 1000001001 => 0000001001 => 0000010010
1001000000 => 0000001001 => 1000001001 => 0000010011
1000111110 => 0111110001 => 1111110001 => 1111100011
1000111101 => 1011110001 => 0011110001 => 0111100010
1000111100 => 0011110001 => 1011110001 => 0111100011
1000111011 => 1101110001 => 0101110001 => 1011100010
1000111010 => 0101110001 => 1101110001 => 1011100011
1000110111 => 1110110001 => 0110110001 => 1101100010
1000110110 => 0110110001 => 1110110001 => 1101100011
1000110101 => 1010110001 => 0010110001 => 0101100010
1000110100 => 0010110001 => 1010110001 => 0101100011
1000110011 => 1100110001 => 0100110001 => 1001100010
1000110010 => 0100110001 => 1100110001 => 1001100011
1000110001 => 1000110001 => 0000110001 => 0001100010
1000110000 => 0000110001 => 1000110001 => 0001100011
1000101111 => 1111010001 => 0111010001 => 1110100010
1000101110 => 0111010001 => 1111010001 => 1110100011
1000101011 => 1101010001 => 0101010001 => 1010100010
1000100111 => 1110010001 => 0110010001 => 1100100010
1000100110 => 0110010001 => 1110010001 => 1100100011
1000100101 => 1010010001 => 0010010001 => 0100100010
1000011111 => 1111100001 => 0111100001 => 1111000010
1000011110 => 0111100001 => 1111100001 => 1111000011
1000011101 => 1011100001 => 0011100001 => 0111000010
1000011100 => 0011100001 => 1011100001 => 0111000011
1000011011 => 1101100001 => 0101100001 => 1011000010
1000011010 => 0101100001 => 1101100001 => 1011000011
1000011001 => 1001100001 => 0001100001 => 0011000010
1000011000 => 0001100001 => 1001100001 => 0011000011
1000010111 => 1110100001 => 0110100001 => 1101000010
1000010110 => 0110100001 => 1110100001 => 1101000011
1000010011 => 1100100001 => 0100100001 => 1001000010
1000010010 => 0100100001 => 1100100001 => 1001000011
1000001111 => 1111000001 => 0111000001 => 1110000010
1000001110 => 0111000001 => 1111000001 => 1110000011
1000001101 => 1011000001 => 0011000001 => 0110000010
1000001010 => 0101000001 => 1101000001 => 1010000011
1000000111 => 1110000001 => 0110000001 => 1100000010
1000000110 => 0110000001 => 1110000001 => 1100000011
1000000100 => 0010000001 => 1010000001 => 0100000011
1000000010 => 0100000001 => 1100000001 => 1000000011
1000000001 => 1000000001 => 0000000001 => 0000000010
1000000000 => 0000000001 => 1000000001 => 0000000011
10000000000 => 00000000001 => 10000000001 => 00000000011
10000000010 => 01000000001 => 11000000001 => 10000000011
10000000110 => 01100000001 => 11100000001 => 11000000011
10000001110 => 01110000001 => 11110000001 => 11100000011
10000011110 => 01111000001 => 11111000001 => 11110000011
10000111110 => 01111100001 => 11111100001 => 11111000011
10001111110 => 01111110001 => 11111110001 => 11111100011
10011111110 => 01111111001 => 11111111001 => 11111110011
10111111110 => 01111111101 => 11111111101 => 11111111011
11111111110 => 01111111111 => 11111111111 => 11111111111
100000111110 => 011111000001 => 111111000001 => 111110000011
100001111110 => 011111100001 => 111111100001 => 111111000011
100001011110 => 011110100001 => 111110100001 => 111101000011
100010011110 => 011110010001 => 111110010001 => 111100100011
100001101110 => 011101100001 => 111101100001 => 111011000011
100100111110 => 011111001001 => 111111001001 => 111110010011
100011011110 => 011110110001 => 111110110001 => 111101100011
11000111110 => 01111100011 => 11111100011 => 11111000111
100100011110 => 011110001001 => 111110001001 => 111100010011
100010101110 => 011101010001 => 111101010001 => 111010100011
100001110110 => 011011100001 => 111011100001 => 110111000011
10111101110 => 01110111101 => 11110111101 => 11101111011
10001000100 => 00100010001 => 10100010001 => 01000100011
11000001110 => 01110000011 => 11110000011 => 11100000111
101000011110 => 011110000101 => 111110000101 => 111100001011
100100101110 => 011101001001 => 111101001001 => 111010010011
100011001110 => 011100110001 => 111100110001 => 111001100011
100010110110 => 011011010001 => 111011010001 => 110110100011
100001111010 => 010111100001 => 110111100001 => 101111000011
110000111110 => 011111000011 => 111111000011 => 111110000111
101001011110 => 011110100101 => 111110100101 => 111101001011
100110011110 => 011110011001 => 111110011001 => 111100110011
100101101110 => 011101101001 => 111101101001 => 111011010011
10101110110 => 01101110101 => 11101110101 => 11011101011
11011101110 => 01110111011 => 11110111011 => 11101110111
10001001000 => 00010010001 => 10010010001 => 00100100011
100001001100 => 001100100001 => 101100100001 => 011001000011
100000110100 => 001011000001 => 101011000001 => 010110000011
10001010100 => 00101010001 => 10101010001 => 01010100011
110000011110 => 011110000011 => 111110000011 => 111100000111
101000101110 => 011101000101 => 111101000101 => 111010001011
10010101010 => 01010101001 => 11010101001 => 10101010011
100101001110 => 011100101001 => 111100101001 => 111001010011
100100110110 => 011011001001 => 111011001001 => 110110010011
100011010110 => 011010110001 => 111010110001 => 110101100011
100010111010 => 010111010001 => 110111010001 => 101110100011
100001111100 => 001111100001 => 101111100001 => 011111000011
10110110110 => 01101101101 => 11101101101 => 11011011011
11101101110 => 01110110111 => 11110110111 => 11101101111
11011110110 => 01101111011 => 11101111011 => 11011110111
10100000000 => 00000000101 => 10000000101 => 00000001011
11000000010 => 01000000011 => 11000000011 => 10000000111
10010001000 => 00010001001 => 10010001001 => 00100010011
10010010100 => 00101001001 => 10101001001 => 01010010011
110000101110 => 011101000011 => 111101000011 => 111010000111
101001001110 => 011100100101 => 111100100101 => 111001001011
101000110110 => 011011000101 => 111011000101 => 110110001011
100110001110 => 011100011001 => 111100011001 => 111000110011
100101010110 => 011010101001 => 111010101001 => 110101010011
100100111010 => 010111001001 => 110111001001 => 101110010011
100011100110 => 011001110001 => 111001110001 => 110011100011
100010111100 => 001111010001 => 101111010001 => 011110100011
110001101110 => 011101100011 => 111101100011 => 111011000111
101100011110 => 011110001101 => 111110001101 => 111100011011
10101011010 => 01011010101 => 11011010101 => 10110101011
101010101110 => 011101010101 => 111101010101 => 111010101011
100111001110 => 011100111001 => 111100111001 => 111001110011
100011111100 => 001111110001 => 101111110001 => 011111100011
11010110110 => 01101101011 => 11101101011 => 11011010111
10111010110 => 01101011101 => 11101011101 => 11010111011
10110111010 => 01011101101 => 11011101101 => 10111011011
11101110110 => 01101110111 => 11101110111 => 11011101111
10111111100 => 00111111101 => 10111111101 => 01111111011
11111111010 => 01011111111 => 11011111111 => 10111111111
0111111111 => 1111111110 => 0111111110 => 1111111100
0111111101 => 1011111110 => 0011111110 => 0111111100
0111111001 => 1001111110 => 0001111110 => 0011111100
0111110001 => 1000111110 => 0000111110 => 0001111100
0111100001 => 1000011110 => 0000011110 => 0000111100
0111000001 => 1000001110 => 0000001110 => 0000011100
0110000001 => 1000000110 => 0000000110 => 0000001100
0100000001 => 1000000010 => 0000000010 => 0000000100
0000000001 => 1000000000 => 0000000000 => 0000000000
01111111111 => 11111111110 => 01111111110 => 11111111100
01111111101 => 10111111110 => 00111111110 => 01111111100
0111111011 => 1101111110 => 0101111110 => 1011111100
0111110101 => 1010111110 => 0010111110 => 0101111100
0111101001 => 1001011110 => 0001011110 => 0010111100
0111010001 => 1000101110 => 0000101110 => 0001011100
01111000001 => 10000011110 => 00000011110 => 00000111100
0110100001 => 1000010110 => 0000010110 => 0000101100
0101000001 => 1000001010 => 0000001010 => 0000010100
01100000001 => 10000000110 => 00000000110 => 00000001100
0010000001 => 1000000100 => 0000000100 => 0000001000
01000000001 => 10000000010 => 00000000010 => 00000000100
00000000001 => 10000000000 => 00000000000 => 00000000000
0101010101 => 1010101010 => 0010101010 => 0101010100
0101010011 => 1100101010 => 0100101010 => 1001010100
0101001101 => 1011001010 => 0011001010 => 0110010100
0101001011 => 1101001010 => 0101001010 => 1010010100
0101000111 => 1110001010 => 0110001010 => 1100010100
0100110101 => 1010110010 => 0010110010 => 0101100100
0100110011 => 1100110010 => 0100110010 => 1001100100
0100101101 => 1011010010 => 0011010010 => 0110100100
0100101011 => 1101010010 => 0101010010 => 1010100100
0100100111 => 1110010010 => 0110010010 => 1100100100
0100011101 => 1011100010 => 0011100010 => 0111000100
0100011011 => 1101100010 => 0101100010 => 1011000100
0100010111 => 1110100010 => 0110100010 => 1101000100
0100001111 => 1111000010 => 0111000010 => 1110000100
0011010101 => 1010101100 => 0010101100 => 0101011000
0011010011 => 1100101100 => 0100101100 => 1001011000
0011001101 => 1011001100 => 0011001100 => 0110011000
0011000111 => 1110001100 => 0110001100 => 1100011000
0010110101 => 1010110100 => 0010110100 => 0101101000
0010110011 => 1100110100 => 0100110100 => 1001101000
0010101101 => 1011010100 => 0011010100 => 0110101000
0010101011 => 1101010100 => 0101010100 => 1010101000
0010100111 => 1110010100 => 0110010100 => 1100101000
0010011101 => 1011100100 => 0011100100 => 0111001000
0010011011 => 1101100100 => 0101100100 => 1011001000
0010010111 => 1110100100 => 0110100100 => 1101001000
0010001111 => 1111000100 => 0111000100 => 1110001000
0001110101 => 1010111000 => 0010111000 => 0101110000
0001110011 => 1100111000 => 0100111000 => 1001110000
0001101101 => 1011011000 => 0011011000 => 0110110000
0001101011 => 1101011000 => 0101011000 => 1010110000
0001100111 => 1110011000 => 0110011000 => 1100110000
0001011101 => 1011101000 => 0011101000 => 0111010000
0001011011 => 1101101000 => 0101101000 => 1011010000
0001010111 => 1110101000 => 0110101000 => 1101010000
0001001111 => 1111001000 => 0111001000 => 1110010000
0000111101 => 1011110000 => 0011110000 => 0111100000
0000111011 => 1101110000 => 0101110000 => 1011100000
0000110111 => 1110110000 => 0110110000 => 1101100000
0000101111 => 1111010000 => 0111010000 => 1110100000
0000011111 => 1111100000 => 0111100000 => 1111000000
010101010101 => 101010101010 => 001010101010 => 010101010100
010101010011 => 110010101010 => 010010101010 => 100101010100
010101001101 => 101100101010 => 001100101010 => 011001010100
010101001011 => 110100101010 => 010100101010 => 101001010100
010101000111 => 111000101010 => 011000101010 => 110001010100
010100110101 => 101011001010 => 001011001010 => 010110010100
010100101101 => 101101001010 => 001101001010 => 011010010100
010100101011 => 110101001010 => 010101001010 => 101010010100
010100100111 => 111001001010 => 011001001010 => 110010010100
010100011101 => 101110001010 => 001110001010 => 011100010100
010100011011 => 110110001010 => 010110001010 => 101100010100
010100010111 => 111010001010 => 011010001010 => 110100010100
010100001111 => 111100001010 => 011100001010 => 111000010100
010011010101 => 101010110010 => 001010110010 => 010101100100
010011010011 => 110010110010 => 010010110010 => 100101100100
010011001101 => 101100110010 => 001100110010 => 011001100100
010011001011 => 110100110010 => 010100110010 => 101001100100
010011000111 => 111000110010 => 011000110010 => 110001100100
010010110101 => 101011010010 => 001011010010 => 010110100100
010010110011 => 110011010010 => 010011010010 => 100110100100
010010101101 => 101101010010 => 001101010010 => 011010100100
010010101011 => 110101010010 => 010101010010 => 101010100100
010010100111 => 111001010010 => 011001010010 => 110010100100
010010011101 => 101110010010 => 001110010010 => 011100100100
010010011011 => 110110010010 => 010110010010 => 101100100100
010010010111 => 111010010010 => 011010010010 => 110100100100
010010001111 => 111100010010 => 011100010010 => 111000100100
010001110101 => 101011100010 => 001011100010 => 010111000100
010001110011 => 110011100010 => 010011100010 => 100111000100
010001101101 => 101101100010 => 001101100010 => 011011000100
010001101011 => 110101100010 => 010101100010 => 101011000100
010001100111 => 111001100010 => 011001100010 => 110011000100
010001011101 => 101110100010 => 001110100010 => 011101000100
010001011011 => 110110100010 => 010110100010 => 101101000100
010001010111 => 111010100010 => 011010100010 => 110101000100
010001001111 => 111100100010 => 011100100010 => 111001000100
010000111101 => 101111000010 => 001111000010 => 011110000100
010000111011 => 110111000010 => 010111000010 => 101110000100
010000110111 => 111011000010 => 011011000010 => 110110000100
010000101111 => 111101000010 => 011101000010 => 111010000100
010000011111 => 111110000010 => 011110000010 => 111100000100
001101010101 => 101010101100 => 001010101100 => 010101011000
001101010011 => 110010101100 => 010010101100 => 100101011000
001101001101 => 101100101100 => 001100101100 => 011001011000
001101001011 => 110100101100 => 010100101100 => 101001011000
001101000111 => 111000101100 => 011000101100 => 110001011000
001100110101 => 101011001100 => 001011001100 => 010110011000
001100110011 => 110011001100 => 010011001100 => 100110011000
001100101101 => 101101001100 => 001101001100 => 011010011000
001100101011 => 110101001100 => 010101001100 => 101010011000
001100100111 => 111001001100 => 011001001100 => 110010011000
001100011101 => 101110001100 => 001110001100 => 011100011000
001100011011 => 110110001100 => 010110001100 => 101100011000
001100010111 => 111010001100 => 011010001100 => 110100011000
001100001111 => 111100001100 => 011100001100 => 111000011000
001011010101 => 101010110100 => 001010110100 => 010101101000
001011010011 => 110010110100 => 010010110100 => 100101101000
001011001101 => 101100110100 => 001100110100 => 011001101000
001011001011 => 110100110100 => 010100110100 => 101001101000
001011000111 => 111000110100 => 011000110100 => 110001101000
001010110101 => 101011010100 => 001011010100 => 010110101000
001010110011 => 110011010100 => 010011010100 => 100110101000
001010101101 => 101101010100 => 001101010100 => 011010101000
001010101011 => 110101010100 => 010101010100 => 101010101000
001010011101 => 101110010100 => 001110010100 => 011100101000
001010011011 => 110110010100 => 010110010100 => 101100101000
001010010111 => 111010010100 => 011010010100 => 110100101000
001010001111 => 111100010100 => 011100010100 => 111000101000
001001110101 => 101011100100 => 001011100100 => 010111001000
001001110011 => 110011100100 => 010011100100 => 100111001000
001001101101 => 101101100100 => 001101100100 => 011011001000
001001101011 => 110101100100 => 010101100100 => 101011001000
001001100111 => 111001100100 => 011001100100 => 110011001000
001001011101 => 101110100100 => 001110100100 => 011101001000
001001011011 => 110110100100 => 010110100100 => 101101001000
001001010111 => 111010100100 => 011010100100 => 110101001000
001001001111 => 111100100100 => 011100100100 => 111001001000
001000111101 => 101111000100 => 001111000100 => 011110001000
001000111011 => 110111000100 => 010111000100 => 101110001000
001000110111 => 111011000100 => 011011000100 => 110110001000
001000101111 => 111101000100 => 011101000100 => 111010001000
001000011111 => 111110000100 => 011110000100 => 111100001000
000111010101 => 101010111000 => 001010111000 => 010101110000
000111010011 => 110010111000 => 010010111000 => 100101110000
000111001101 => 101100111000 => 001100111000 => 011001110000
000111001011 => 110100111000 => 010100111000 => 101001110000
000111000111 => 111000111000 => 011000111000 => 110001110000
000110110101 => 101011011000 => 001011011000 => 010110110000
000110110011 => 110011011000 => 010011011000 => 100110110000
000110101101 => 101101011000 => 001101011000 => 011010110000
000110101011 => 110101011000 => 010101011000 => 101010110000
000110100111 => 111001011000 => 011001011000 => 110010110000
000110011101 => 101110011000 => 001110011000 => 011100110000
000110011011 => 110110011000 => 010110011000 => 101100110000
000110010111 => 111010011000 => 011010011000 => 110100110000
000110001111 => 111100011000 => 011100011000 => 111000110000
000101110101 => 101011101000 => 001011101000 => 010111010000
000101101101 => 101101101000 => 001101101000 => 011011010000
000101101011 => 110101101000 => 010101101000 => 101011010000
000101100111 => 111001101000 => 011001101000 => 110011010000
000101011101 => 101110101000 => 001110101000 => 011101010000
000101011011 => 110110101000 => 010110101000 => 101101010000
000101010111 => 111010101000 => 011010101000 => 110101010000
000101001111 => 111100101000 => 011100101000 => 111001010000
000100111101 => 101111001000 => 001111001000 => 011110010000
000100111011 => 110111001000 => 010111001000 => 101110010000
000100110111 => 111011001000 => 011011001000 => 110110010000
000100101111 => 111101001000 => 011101001000 => 111010010000
000100011111 => 111110001000 => 011110001000 => 111100010000
000011110101 => 101011110000 => 001011110000 => 010111100000
000011110011 => 110011110000 => 010011110000 => 100111100000
000011101101 => 101101110000 => 001101110000 => 011011100000
000011101011 => 110101110000 => 010101110000 => 101011100000
000011100111 => 111001110000 => 011001110000 => 110011100000
000011011101 => 101110110000 => 001110110000 => 011101100000
000011011011 => 110110110000 => 010110110000 => 101101100000
000011010111 => 111010110000 => 011010110000 => 110101100000
000011001111 => 111100110000 => 011100110000 => 111001100000
000010111101 => 101111010000 => 001111010000 => 011110100000
000010111011 => 110111010000 => 010111010000 => 101110100000
000010110111 => 111011010000 => 011011010000 => 110110100000
000010101111 => 111101010000 => 011101010000 => 111010100000
000010011111 => 111110010000 => 011110010000 => 111100100000
000001111101 => 101111100000 => 001111100000 => 011111000000
000001111011 => 110111100000 => 010111100000 => 101111000000
000001110111 => 111011100000 => 011011100000 => 110111000000
000001101111 => 111101100000 => 011101100000 => 111011000000
000001011111 => 111110100000 => 011110100000 => 111101000000
000000111111 => 111111000000 => 011111000000 => 111110000000
11010101010 => 01010101011 => 11010101011 => 10101010111
11010101100 => 00110101011 => 10110101011 => 01101010111
11010110100 => 00101101011 => 10101101011 => 01011010111
11011010100 => 00101011011 => 10101011011 => 01010110111
11101010100 => 00101010111 => 10101010111 => 01010101111
10101010100 => 00101010101 => 10101010101 => 01010101011
111111111111 => 111111111111 => 011111111111 => 111111111110
111111111001 => 100111111111 => 000111111111 => 001111111110
111111100111 => 111001111111 => 011001111111 => 110011111110
111111100001 => 100001111111 => 000001111111 => 000011111110
111111101101 => 101101111111 => 001101111111 => 011011111110
111110011111 => 111110011111 => 011110011111 => 111100111110
111110011001 => 100110011111 => 000110011111 => 001100111110
111110000111 => 111000011111 => 011000011111 => 110000111110
111110000001 => 100000011111 => 000000011111 => 000000111110
111110001101 => 101100011111 => 001100011111 => 011000111110
111110110111 => 111011011111 => 011011011111 => 110110111110
111110110001 => 100011011111 => 000011011111 => 000110111110
111110111101 => 101111011111 => 001111011111 => 011110111110
111110100101 => 101001011111 => 001001011111 => 010010111110
111001111111 => 111111100111 => 011111100111 => 111111001110
111001111001 => 100111100111 => 000111100111 => 001111001110
111001100111 => 111001100111 => 011001100111 => 110011001110
111001100001 => 100001100111 => 000001100111 => 000011001110
111001101101 => 101101100111 => 001101100111 => 011011001110
111000011111 => 111110000111 => 011110000111 => 111100001110
111000011001 => 100110000111 => 000110000111 => 001100001110
111000000111 => 111000000111 => 011000000111 => 110000001110
111000000001 => 100000000111 => 000000000111 => 000000001110
111000001101 => 101100000111 => 001100000111 => 011000001110
111000110111 => 111011000111 => 011011000111 => 110110001110
111000110001 => 100011000111 => 000011000111 => 000110001110
111000111101 => 101111000111 => 001111000111 => 011110001110
111000100101 => 101001000111 => 001001000111 => 010010001110
111011011111 => 111110110111 => 011110110111 => 111101101110
111011011001 => 100110110111 => 000110110111 => 001101101110
111011000111 => 111000110111 => 011000110111 => 110001101110
111011000001 => 100000110111 => 000000110111 => 000001101110
111011001101 => 101100110111 => 001100110111 => 011001101110
111011110111 => 111011110111 => 011011110111 => 110111101110
111011110001 => 100011110111 => 000011110111 => 000111101110
111011111101 => 101111110111 => 001111110111 => 011111101110
111011100101 => 101001110111 => 001001110111 => 010011101110
111010010111 => 111010010111 => 011010010111 => 110100101110
111010010001 => 100010010111 => 000010010111 => 000100101110
111010011101 => 101110010111 => 001110010111 => 011100101110
111010000101 => 101000010111 => 001000010111 => 010000101110
111010110101 => 101011010111 => 001011010111 => 010110101110
100111111111 => 111111111001 => 011111111001 => 111111110010
100111111001 => 100111111001 => 000111111001 => 001111110010
100111100111 => 111001111001 => 011001111001 => 110011110010
100111100001 => 100001111001 => 000001111001 => 000011110010
100111101101 => 101101111001 => 001101111001 => 011011110010
100110011111 => 111110011001 => 011110011001 => 111100110010
100110011001 => 100110011001 => 000110011001 => 001100110010
100110000111 => 111000011001 => 011000011001 => 110000110010
100110000001 => 100000011001 => 000000011001 => 000000110010
100110001101 => 101100011001 => 001100011001 => 011000110010
100110110111 => 111011011001 => 011011011001 => 110110110010
100110110001 => 100011011001 => 000011011001 => 000110110010
100110111101 => 101111011001 => 001111011001 => 011110110010
100110100101 => 101001011001 => 001001011001 => 010010110010
100001111111 => 111111100001 => 011111100001 => 111111000010
100001111001 => 100111100001 => 000111100001 => 001111000010
100001100111 => 111001100001 => 011001100001 => 110011000010
100001100001 => 100001100001 => 000001100001 => 000011000010
100001101101 => 101101100001 => 001101100001 => 011011000010
100000011111 => 111110000001 => 011110000001 => 111100000010
100000011001 => 100110000001 => 000110000001 => 001100000010
100000000111 => 111000000001 => 011000000001 => 110000000010
100000000001 => 100000000001 => 000000000001 => 000000000010
100000001101 => 101100000001 => 001100000001 => 011000000010
100000110111 => 111011000001 => 011011000001 => 110110000010
100000110001 => 100011000001 => 000011000001 => 000110000010
100000111101 => 101111000001 => 001111000001 => 011110000010
100000100101 => 101001000001 => 001001000001 => 010010000010
100011011111 => 111110110001 => 011110110001 => 111101100010
100011011001 => 100110110001 => 000110110001 => 001101100010
100011000111 => 111000110001 => 011000110001 => 110001100010
100011000001 => 100000110001 => 000000110001 => 000001100010
100011001101 => 101100110001 => 001100110001 => 011001100010
100011110111 => 111011110001 => 011011110001 => 110111100010
100011110001 => 100011110001 => 000011110001 => 000111100010
100011111101 => 101111110001 => 001111110001 => 011111100010
100011100101 => 101001110001 => 001001110001 => 010011100010
100010010111 => 111010010001 => 011010010001 => 110100100010
100010010001 => 100010010001 => 000010010001 => 000100100010
100010011101 => 101110010001 => 001110010001 => 011100100010
100010000101 => 101000010001 => 001000010001 => 010000100010
100010110101 => 101011010001 => 001011010001 => 010110100010
101101111111 => 111111101101 => 011111101101 => 111111011010
101101111001 => 100111101101 => 000111101101 => 001111011010
101101100111 => 111001101101 => 011001101101 => 110011011010
101101100001 => 100001101101 => 000001101101 => 000011011010
101101101101 => 101101101101 => 001101101101 => 011011011010
101100011111 => 111110001101 => 011110001101 => 111100011010
101100011001 => 100110001101 => 000110001101 => 001100011010
101100000111 => 111000001101 => 011000001101 => 110000011010
101100000001 => 100000001101 => 000000001101 => 000000011010
101100001101 => 101100001101 => 001100001101 => 011000011010
101100110111 => 111011001101 => 011011001101 => 110110011010
101100110001 => 100011001101 => 000011001101 => 000110011010
101100111101 => 101111001101 => 001111001101 => 011110011010
101100100101 => 101001001101 => 001001001101 => 010010011010
101111011111 => 111110111101 => 011110111101 => 111101111010
101111011001 => 100110111101 => 000110111101 => 001101111010
101111000111 => 111000111101 => 011000111101 => 110001111010
101111000001 => 100000111101 => 000000111101 => 000001111010
101111001101 => 101100111101 => 001100111101 => 011001111010
101111110111 => 111011111101 => 011011111101 => 110111111010
101111110001 => 100011111101 => 000011111101 => 000111111010
101111111101 => 101111111101 => 001111111101 => 011111111010
101111100101 => 101001111101 => 001001111101 => 010011111010
101110010111 => 111010011101 => 011010011101 => 110100111010
101110010001 => 100010011101 => 000010011101 => 000100111010
101110011101 => 101110011101 => 001110011101 => 011100111010
101110000101 => 101000011101 => 001000011101 => 010000111010
101110110101 => 101011011101 => 001011011101 => 010110111010
101001011111 => 111110100101 => 011110100101 => 111101001010
101001011001 => 100110100101 => 000110100101 => 001101001010
101001000111 => 111000100101 => 011000100101 => 110001001010
101001000001 => 100000100101 => 000000100101 => 000001001010
101001001101 => 101100100101 => 001100100101 => 011001001010
101001110111 => 111011100101 => 011011100101 => 110111001010
101001110001 => 100011100101 => 000011100101 => 000111001010
101001111101 => 101111100101 => 001111100101 => 011111001010
101001100101 => 101001100101 => 001001100101 => 010011001010
101000010111 => 111010000101 => 011010000101 => 110100001010
101000010001 => 100010000101 => 000010000101 => 000100001010
101000011101 => 101110000101 => 001110000101 => 011100001010
101000000101 => 101000000101 => 001000000101 => 010000001010
101000110101 => 101011000101 => 001011000101 => 010110001010
101011010111 => 111010110101 => 011010110101 => 110101101010
101011010001 => 100010110101 => 000010110101 => 000101101010
101011011101 => 101110110101 => 001110110101 => 011101101010
101011000101 => 101000110101 => 001000110101 => 010001101010
101011110101 => 101011110101 => 001011110101 => 010111101010
101010010101 => 101010010101 => 001010010101 => 010100101010
0000000000 => 0000000000 => 1000000000 => 0000000001
0000011110 => 0111100000 => 1111100000 => 1111000001
0001100110 => 0110011000 => 1110011000 => 1100110001
0001111000 => 0001111000 => 1001111000 => 0011110001
0001110010 => 0100111000 => 1100111000 => 1001110001
0001001110 => 0111001000 => 1111001000 => 1110010001
0001000010 => 0100001000 => 1100001000 => 1000010001
0001011010 => 0101101000 => 1101101000 => 1011010001
0110000000 => 0000000110 => 1000000110 => 0000001101
0110011000 => 0001100110 => 1001100110 => 0011001101
0110010010 => 0100100110 => 1100100110 => 1001001101
0111100000 => 0000011110 => 1000011110 => 0000111101
0111100110 => 0110011110 => 1110011110 => 1100111101
0111111000 => 0001111110 => 1001111110 => 0011111101
0111111110 => 0111111110 => 1111111110 => 1111111101
0111001000 => 0001001110 => 1001001110 => 0010011101
0111001110 => 0111001110 => 1111001110 => 1110011101
0100100110 => 0110010010 => 1110010010 => 1100100101
0100111110 => 0111110010 => 1111110010 => 1111100101
0100110010 => 0100110010 => 1100110010 => 1001100101
0100001110 => 0111000010 => 1111000010 => 1110000101
0100000010 => 0100000010 => 1100000010 => 1000000101
0100011010 => 0101100010 => 1101100010 => 1011000101
0101101000 => 0001011010 => 1001011010 => 0010110101
0101001010 => 0101001010 => 1101001010 => 1010010101
0010101010 => 0101010100 => 1101010100 => 1010101001
0010101000 => 0001010100 => 1001010100 => 0010101001
0010101100 => 0011010100 => 1011010100 => 0110101001
0010100100 => 0010010100 => 1010010100 => 0100101001
0010110100 => 0010110100 => 1010110100 => 0101101001
0010010100 => 0010100100 => 1010100100 => 0101001001
0011010100 => 0010101100 => 1010101100 => 0101011001
0001010100 => 0010101000 => 1010101000 => 0101010001
0101010100 => 0010101010 => 1010101010 => 0101010101
00101010101 => 10101010100 => 00101010100 => 01010101000
00101010111 => 11101010100 => 01101010100 => 11010101000
0010101110 => 0111010100 => 1111010100 => 1110101001
00101010011 => 11001010100 => 01001010100 => 10010101000
00101011011 => 11011010100 => 01011010100 => 10110101000
0010111100 => 0011110100 => 1011110100 => 0111101001
00101001011 => 11010010100 => 01010010100 => 10100101000
00101101011 => 11010110100 => 01010110100 => 10101101000
00100101011 => 11010100100 => 01010100100 => 10101001000
00110101011 => 11010101100 => 01010101100 => 10101011000
00010101011 => 11010101000 => 01010101000 => 10101010000
01010101011 => 11010101010 => 01010101010 => 10101010100
0000000010 => 0100000000 => 1100000000 => 1000000001
0000001110 => 0111000000 => 1111000000 => 1110000001
0000111110 => 0111110000 => 1111110000 => 1111100001
0011111110 => 0111111100 => 1111111100 => 1111111001
00000000000 => 00000000000 => 10000000000 => 00000000001
00000000010 => 01000000000 => 11000000000 => 10000000001
00000001110 => 01110000000 => 11110000000 => 11100000001
0000101110 => 0111010000 => 1111010000 => 1110100001
00000111110 => 01111100000 => 11111100000 => 11111000001
0001011110 => 0111101000 => 1111101000 => 1111010001
00011111110 => 01111111000 => 11111111000 => 11111110001
0101111110 => 0111111010 => 1111111010 => 1111110101
01111111110 => 01111111110 => 11111111110 => 11111111101
0010110010 => 0100110100 => 1100110100 => 1001101001
0010111000 => 0001110100 => 1001110100 => 0011101001
0011001010 => 0101001100 => 1101001100 => 1010011001
0011001100 => 0011001100 => 1011001100 => 0110011001
0011010010 => 0100101100 => 1100101100 => 1001011001
0011011000 => 0001101100 => 1001101100 => 0011011001
0011100010 => 0100011100 => 1100011100 => 1000111001
0011110000 => 0000111100 => 1000111100 => 0001111001
0100101010 => 0101010010 => 1101010010 => 1010100101
0100101100 => 0011010010 => 1011010010 => 0110100101
0100110100 => 0010110010 => 1010110010 => 0101100101
0101001100 => 0011001010 => 1011001010 => 0110010101
0101010010 => 0100101010 => 1100101010 => 1001010101
0101011000 => 0001101010 => 1001101010 => 0011010101
0101100100 => 0010011010 => 1010011010 => 0100110101
0101110000 => 0000111010 => 1000111010 => 0001110101
0110010100 => 0010100110 => 1010100110 => 0101001101
0110100100 => 0010010110 => 1010010110 => 0100101101
0110101000 => 0001010110 => 1001010110 => 0010101101
0110110000 => 0000110110 => 1000110110 => 0001101101
0111000100 => 0010001110 => 1010001110 => 0100011101
0111010000 => 0000101110 => 1000101110 => 0001011101
001010101010 => 010101010100 => 110101010100 => 101010101001
001010101100 => 001101010100 => 101101010100 => 011010101001
001010110010 => 010011010100 => 110011010100 => 100110101001
001010110100 => 001011010100 => 101011010100 => 010110101001
001010111000 => 000111010100 => 100111010100 => 001110101001
001011001010 => 010100110100 => 110100110100 => 101001101001
001011001100 => 001100110100 => 101100110100 => 011001101001
001011010010 => 010010110100 => 110010110100 => 100101101001
001011010100 => 001010110100 => 101010110100 => 010101101001
001011011000 => 000110110100 => 100110110100 => 001101101001
001011100010 => 010001110100 => 110001110100 => 100011101001
001011100100 => 001001110100 => 101001110100 => 010011101001
001011101000 => 000101110100 => 100101110100 => 001011101001
001011110000 => 000011110100 => 100011110100 => 000111101001
001100101010 => 010101001100 => 110101001100 => 101010011001
001100101100 => 001101001100 => 101101001100 => 011010011001
001100110010 => 010011001100 => 110011001100 => 100110011001
001100110100 => 001011001100 => 101011001100 => 010110011001
001100111000 => 000111001100 => 100111001100 => 001110011001
001101001010 => 010100101100 => 110100101100 => 101001011001
001101001100 => 001100101100 => 101100101100 => 011001011001
001101010010 => 010010101100 => 110010101100 => 100101011001
001101010100 => 001010101100 => 101010101100 => 010101011001
001101101000 => 000101101100 => 100101101100 => 001011011001
001101110000 => 000011101100 => 100011101100 => 000111011001
001110001010 => 010100011100 => 110100011100 => 101000111001
001110001100 => 001100011100 => 101100011100 => 011000111001
001110010010 => 010010011100 => 110010011100 => 100100111001
001110011000 => 000110011100 => 100110011100 => 001100111001
001110100100 => 001001011100 => 101001011100 => 010010111001
001110110000 => 000011011100 => 100011011100 => 000110111001
001111000010 => 010000111100 => 110000111100 => 100001111001
001111001000 => 000100111100 => 100100111100 => 001001111001
001111100000 => 000001111100 => 100001111100 => 000011111001
010010101010 => 010101010010 => 110101010010 => 101010100101
010010101100 => 001101010010 => 101101010010 => 011010100101
010010110010 => 010011010010 => 110011010010 => 100110100101
010010110100 => 001011010010 => 101011010010 => 010110100101
010011001010 => 010100110010 => 110100110010 => 101001100101
010011001100 => 001100110010 => 101100110010 => 011001100101
010011010010 => 010010110010 => 110010110010 => 100101100101
010011010100 => 001010110010 => 101010110010 => 010101100101
010100101010 => 010101001010 => 110101001010 => 101010010101
010100101100 => 001101001010 => 101101001010 => 011010010101
010100110010 => 010011001010 => 110011001010 => 100110010101
010100110100 => 001011001010 => 101011001010 => 010110010101
010101001010 => 010100101010 => 110100101010 => 101001010101
010101001100 => 001100101010 => 101100101010 => 011001010101
010101010010 => 010010101010 => 110010101010 => 100101010101
010101010100 => 001010101010 => 101010101010 => 010101010101
010101011000 => 000110101010 => 100110101010 => 001101010101
010101100100 => 001001101010 => 101001101010 => 010011010101
010101101000 => 000101101010 => 100101101010 => 001011010101
010101110000 => 000011101010 => 100011101010 => 000111010101
010110010100 => 001010011010 => 101010011010 => 010100110101
010110011000 => 000110011010 => 100110011010 => 001100110101
010110100100 => 001001011010 => 101001011010 => 010010110101
010110101000 => 000101011010 => 100101011010 => 001010110101
010110110000 => 000011011010 => 100011011010 => 000110110101
010111000100 => 001000111010 => 101000111010 => 010001110101
010111001000 => 000100111010 => 100100111010 => 001001110101
010111010000 => 000010111010 => 100010111010 => 000101110101
010111100000 => 000001111010 => 100001111010 => 000011110101
011001010100 => 001010100110 => 101010100110 => 010101001101
011001011000 => 000110100110 => 100110100110 => 001101001101
011001100100 => 001001100110 => 101001100110 => 010011001101
011001101000 => 000101100110 => 100101100110 => 001011001101
011001110000 => 000011100110 => 100011100110 => 000111001101
011010010100 => 001010010110 => 101010010110 => 010100101101
011010011000 => 000110010110 => 100110010110 => 001100101101
011010100100 => 001001010110 => 101001010110 => 010010101101
011010101000 => 000101010110 => 100101010110 => 001010101101
011010110000 => 000011010110 => 100011010110 => 000110101101
011011000100 => 001000110110 => 101000110110 => 010001101101
011011001000 => 000100110110 => 100100110110 => 001001101101
011011010000 => 000010110110 => 100010110110 => 000101101101
011011100000 => 000001110110 => 100001110110 => 000011101101
011100010100 => 001010001110 => 101010001110 => 010100011101
011100011000 => 000110001110 => 100110001110 => 001100011101
011100100100 => 001001001110 => 101001001110 => 010010011101
011100101000 => 000101001110 => 100101001110 => 001010011101
011100110000 => 000011001110 => 100011001110 => 000110011101
011101000100 => 001000101110 => 101000101110 => 010001011101
011101001000 => 000100101110 => 100100101110 => 001001011101
011101010000 => 000010101110 => 100010101110 => 000101011101
011101100000 => 000001101110 => 100001101110 => 000011011101
011110000100 => 001000011110 => 101000011110 => 010000111101
011110001000 => 000100011110 => 100100011110 => 001000111101
011110010000 => 000010011110 => 100010011110 => 000100111101
011110100000 => 000001011110 => 100001011110 => 000010111101
011111000000 => 000000111110 => 100000111110 => 000001111101
10101010101 => 10101010101 => 00101010101 => 01010101010
10101001001 => 10010010101 => 00010010101 => 00100101010
10100100101 => 10100100101 => 00100100101 => 01001001010
10100101001 => 10010100101 => 00010100101 => 00101001010
10100100100 => 00100100101 => 10100100101 => 01001001011
10010010101 => 10101001001 => 00101001001 => 01010010010
10010001001 => 10010001001 => 00010001001 => 00100010010
10010100101 => 10100101001 => 00100101001 => 01001010010
10010101001 => 10010101001 => 00010101001 => 00101010010
10010100100 => 00100101001 => 10100101001 => 01001010011
10001000101 => 10100010001 => 00100010001 => 01000100010
10001001001 => 10010010001 => 00010010001 => 00100100010
01001010101 => 10101010010 => 00101010010 => 01010100100
01001001001 => 10010010010 => 00010010010 => 00100100100
01001000100 => 00100010010 => 10100010010 => 01000100101
01000100101 => 10100100010 => 00100100010 => 01001000100
01000100010 => 01000100010 => 11000100010 => 10001000101
01000101001 => 10010100010 => 00010100010 => 00101000100
01000100100 => 00100100010 => 10100100010 => 01001000101
01000010001 => 10001000010 => 00001000010 => 00010000100
01010010101 => 10101001010 => 00101001010 => 01010010100
01010001001 => 10010001010 => 00010001010 => 00100010100
01010100101 => 10100101010 => 00100101010 => 01001010100
01010101001 => 10010101010 => 00010101010 => 00101010100
01010101010 => 01010101010 => 11010101010 => 10101010101
01010100100 => 00100101010 => 10100101010 => 01001010101
01010010100 => 00101001010 => 10101001010 => 01010010101
01010001000 => 00010001010 => 10010001010 => 00100010101
01001000101 => 10100010010 => 00100010010 => 01000100100
01001010100 => 00101010010 => 10101010010 => 01010100101
01001001000 => 00010010010 => 10010010010 => 00100100101
01000100001 => 10000100010 => 00000100010 => 00001000100
01000101000 => 00010100010 => 10010100010 => 00101000101
01000010000 => 00001000010 => 10001000010 => 00010000101
00100010101 => 10101000100 => 00101000100 => 01010001000
00100001001 => 10010000100 => 00010000100 => 00100001000
00100001010 => 01010000100 => 11010000100 => 10100001001
00100100101 => 10100100100 => 00100100100 => 01001001000
00100101001 => 10010100100 => 00010100100 => 00101001000
00100101010 => 01010100100 => 11010100100 => 10101001001
00100100100 => 00100100100 => 10100100100 => 01001001001
00100010001 => 10001000100 => 00001000100 => 00010001000
00100010100 => 00101000100 => 10101000100 => 01010001001
00100001000 => 00010000100 => 10010000100 => 00100001001
00101000101 => 10100010100 => 00100010100 => 01000101000
00101000010 => 01000010100 => 11000010100 => 10000101001
00101001001 => 10010010100 => 00010010100 => 00100101000
00101001010 => 01010010100 => 11010010100 => 10100101001
00101000100 => 00100010100 => 10100010100 => 01000101001
00101010010 => 01001010100 => 11001010100 => 10010101001
00101010100 => 00101010100 => 10101010100 => 01010101001
00101001000 => 00010010100 => 10010010100 => 00100101001
00100101000 => 00010100100 => 10010100100 => 00101001001
00100010000 => 00001000100 => 10001000100 => 00010001001
00010000101 => 10100001000 => 00100001000 => 01000010000
00010000010 => 01000001000 => 11000001000 => 10000010001
00010001001 => 10010001000 => 00010001000 => 00100010000
00010001010 => 01010001000 => 11010001000 => 10100010001
00010000100 => 00100001000 => 10100001000 => 01000010001
00010010001 => 10001001000 => 00001001000 => 00010010000
00010001000 => 00010001000 => 10010001000 => 00100010001
00010010000 => 00001001000 => 10001001000 => 00010010001
0100000000 => 0000000010 => 1000000010 => 0000000101
0100111111 => 1111110010 => 0111110010 => 1111100100
0101111111 => 1111111010 => 0111111010 => 1111110100
01000000000 => 00000000010 => 10000000010 => 00000000101
01000000011 => 11000000010 => 01000000010 => 10000000100
0101010110 => 0110101010 => 1110101010 => 1101010101
0101011001 => 1001101010 => 0001101010 => 0011010100
0101100101 => 1010011010 => 0010011010 => 0100110100
0101101001 => 1001011010 => 0001011010 => 0010110100
0101110001 => 1000111010 => 0000111010 => 0001110100
0110010101 => 1010100110 => 0010100110 => 0101001100
0110011001 => 1001100110 => 0001100110 => 0011001100
0110100101 => 1010010110 => 0010010110 => 0100101100
0110100110 => 0110010110 => 1110010110 => 1100101101
0110101001 => 1001010110 => 0001010110 => 0010101100
0110110001 => 1000110110 => 0000110110 => 0001101100
0111000101 => 1010001110 => 0010001110 => 0100011100
0111001001 => 1001001110 => 0001001110 => 0010011100
0111001010 => 0101001110 => 1101001110 => 1010011101
0111010010 => 0100101110 => 1100101110 => 1001011101
0111100010 => 0100011110 => 1100011110 => 1000111101
0111101000 => 0001011110 => 1001011110 => 0010111101
0111110000 => 0000111110 => 1000111110 => 0001111101
010101011001 => 100110101010 => 000110101010 => 001101010100
010101100101 => 101001101010 => 001001101010 => 010011010100
010101101001 => 100101101010 => 000101101010 => 001011010100
010101110001 => 100011101010 => 000011101010 => 000111010100
010110010101 => 101010011010 => 001010011010 => 010100110100
010110011001 => 100110011010 => 000110011010 => 001100110100
010110100101 => 101001011010 => 001001011010 => 010010110100
010110101001 => 100101011010 => 000101011010 => 001010110100
010110110001 => 100011011010 => 000011011010 => 000110110100
010111000101 => 101000111010 => 001000111010 => 010001110100
010111001001 => 100100111010 => 000100111010 => 001001110100
010111010001 => 100010111010 => 000010111010 => 000101110100
010111100001 => 100001111010 => 000001111010 => 000011110100
011001010101 => 101010100110 => 001010100110 => 010101001100
011001011001 => 100110100110 => 000110100110 => 001101001100
011001100101 => 101001100110 => 001001100110 => 010011001100
011001101001 => 100101100110 => 000101100110 => 001011001100
011001110001 => 100011100110 => 000011100110 => 000111001100
011010010101 => 101010010110 => 001010010110 => 010100101100
011010011001 => 100110010110 => 000110010110 => 001100101100
011010100101 => 101001010110 => 001001010110 => 010010101100
011010101001 => 100101010110 => 000101010110 => 001010101100
011010110001 => 100011010110 => 000011010110 => 000110101100
011011000101 => 101000110110 => 001000110110 => 010001101100
011011001001 => 100100110110 => 000100110110 => 001001101100
011011010001 => 100010110110 => 000010110110 => 000101101100
011011100001 => 100001110110 => 000001110110 => 000011101100
011100011001 => 100110001110 => 000110001110 => 001100011100
011100101001 => 100101001110 => 000101001110 => 001010011100
011100110001 => 100011001110 => 000011001110 => 000110011100
011101000101 => 101000101110 => 001000101110 => 010001011100
011101001001 => 100100101110 => 000100101110 => 001001011100
011101010001 => 100010101110 => 000010101110 => 000101011100
011101100001 => 100001101110 => 000001101110 => 000011011100
011110000101 => 101000011110 => 001000011110 => 010000111100
011110001001 => 100100011110 => 000100011110 => 001000111100
011110010001 => 100010011110 => 000010011110 => 000100111100
011110100001 => 100001011110 => 000001011110 => 000010111100
011111000001 => 100000111110 => 000000111110 => 000001111100
0100000100 => 0010000010 => 1010000010 => 0100000101
0011100110 => 0110011100 => 1110011100 => 1100111001
0011101100 => 0011011100 => 1011011100 => 0110111001
0001101110 => 0111011000 => 1111011000 => 1110110001
0010110110 => 0110110100 => 1110110100 => 1101101001
0011110010 => 0100111100 => 1100111100 => 1001111001
0001110110 => 0110111000 => 1110111000 => 1101110001
0011111000 => 0001111100 => 1001111100 => 0011111001
100111001100 => 001100111001 => 101100111001 => 011001110011
100111010100 => 001010111001 => 101010111001 => 010101110011
100111011000 => 000110111001 => 100110111001 => 001101110011
100011011100 => 001110110001 => 101110110001 => 011101100011
100101101100 => 001101101001 => 101101101001 => 011011010011
100111100100 => 001001111001 => 101001111001 => 010011110011
100111101000 => 000101111001 => 100101111001 => 001011110011
100011101100 => 001101110001 => 101101110001 => 011011100011
101001110100 => 001011100101 => 101011100101 => 010111001011
100101110100 => 001011101001 => 101011101001 => 010111010011
100011110100 => 001011110001 => 101011110001 => 010111100011
0000000101 => 1010000000 => 0010000000 => 0100000000
0000001101 => 1011000000 => 0011000000 => 0110000000
0001111101 => 1011111000 => 0011111000 => 0111110000
0011111101 => 1011111100 => 0011111100 => 0111111000
0000010101 => 1010100000 => 0010100000 => 0101000000
00001111101 => 10111110000 => 00111110000 => 01111100000
0010111101 => 1011110100 => 0011110100 => 0111101000
0101111101 => 1011111010 => 0011111010 => 0111110100
00111111101 => 10111111100 => 00111111100 => 01111111000
11111111101 => 10111111111 => 00111111111 => 01111111110
0111000011 => 1100001110 => 0100001110 => 1000011100
0011110001 => 1000111100 => 0000111100 => 0001111000
110000111100 => 001111000011 => 101111000011 => 011110000111
001111000011 => 110000111100 => 010000111100 => 100001111000
011110000011 => 110000011110 => 010000011110 => 100000111100
001111100001 => 100001111100 => 000001111100 => 000011111000
01111110101 => 10101111110 => 00101111110 => 01011111100
0011011001 => 1001101100 => 0001101100 => 0011011000
01110100001 => 10000101110 => 00000101110 => 00001011100
0010110001 => 1000110100 => 0000110100 => 0001101000
0001100001 => 1000011000 => 0000011000 => 0000110000
0111010011 => 1100101110 => 0100101110 => 1001011100
0011110011 => 1100111100 => 0100111100 => 1001111000
0111100011 => 1100011110 => 0100011110 => 1000111100
0011111001 => 1001111100 => 0001111100 => 0011111000
0000111111 => 1111110000 => 0111110000 => 1111100000
110101010101 => 101010101011 => 001010101011 => 010101010110
110101010011 => 110010101011 => 010010101011 => 100101010110
110101001101 => 101100101011 => 001100101011 => 011001010110
110101000111 => 111000101011 => 011000101011 => 110001010110
110100110101 => 101011001011 => 001011001011 => 010110010110
110100110011 => 110011001011 => 010011001011 => 100110010110
110100001111 => 111100001011 => 011100001011 => 111000010110
110011010101 => 101010110011 => 001010110011 => 010101100110
110011010011 => 110010110011 => 010010110011 => 100101100110
110011001101 => 101100110011 => 001100110011 => 011001100110
110011011001 => 100110110011 => 000110110011 => 001101100110
110011000111 => 111000110011 => 011000110011 => 110001100110
110110001101 => 101100011011 => 001100011011 => 011000110110
110110011001 => 100110011011 => 000110011011 => 001100110110
110001110011 => 110011100011 => 010011100011 => 100111000110
110011100101 => 101001110011 => 001001110011 => 010011100110
110011101001 => 100101110011 => 000101110011 => 001011100110
110011100011 => 110001110011 => 010001110011 => 100011100110
110111000101 => 101000111011 => 001000111011 => 010001110110
110111001001 => 100100111011 => 000100111011 => 001001110110
110000111101 => 101111000011 => 001111000011 => 011110000110
110000011111 => 111110000011 => 011110000011 => 111100000110
111001001101 => 101100100111 => 001100100111 => 011001001110
111001011001 => 100110100111 => 000110100111 => 001101001110
111010001101 => 101100010111 => 001100010111 => 011000101110
111010011001 => 100110010111 => 000110010111 => 001100101110
111000110101 => 101011000111 => 001011000111 => 010110001110
111000110011 => 110011000111 => 010011000111 => 100110001110
111001100101 => 101001100111 => 001001100111 => 010011001110
111001101001 => 100101100111 => 000101100111 => 001011001110
111011000101 => 101000110111 => 001000110111 => 010001101110
111011001001 => 100100110111 => 000100110111 => 001001101110
111000001111 => 111100000111 => 011100000111 => 111000001110
111100010101 => 101010001111 => 001010001111 => 010100011110
111100100101 => 101001001111 => 001001001111 => 010010011110
111100101001 => 100101001111 => 000101001111 => 001010011110
111101000101 => 101000101111 => 001000101111 => 010001011110
111101001001 => 100100101111 => 000100101111 => 001001011110
111100000111 => 111000001111 => 011000001111 => 110000011110
111110000011 => 110000011111 => 010000011111 => 100000111110
11111110010 => 01001111111 => 11001111111 => 10011111111
0010011100 => 0011100100 => 1011100100 => 0111001001
0000111100 => 0011110000 => 1011110000 => 0111100001
0001101010 => 0101011000 => 1101011000 => 1010110001
0001010110 => 0110101000 => 1110101000 => 1101010001
000111010100 => 001010111000 => 101010111000 => 010101110001
001001110100 => 001011100100 => 101011100100 => 010111001001
000101110100 => 001011101000 => 101011101000 => 010111010001
000011110100 => 001011110000 => 101011110000 => 010111100001
000111001100 => 001100111000 => 101100111000 => 011001110001
010001101100 => 001101100010 => 101101100010 => 011011000101
001001101100 => 001101100100 => 101101100100 => 011011001001
000101101100 => 001101101000 => 101101101000 => 011011010001
000011101100 => 001101110000 => 101101110000 => 011011100001
010010011100 => 001110010010 => 101110010010 => 011100100101
001010011100 => 001110010100 => 101110010100 => 011100101001
000110011100 => 001110011000 => 101110011000 => 011100110001
010001011100 => 001110100010 => 101110100010 => 011101000101
001001011100 => 001110100100 => 101110100100 => 011101001001
000101011100 => 001110101000 => 101110101000 => 011101010001
000011011100 => 001110110000 => 101110110000 => 011101100001
001000111100 => 001111000100 => 101111000100 => 011110001001
000100111100 => 001111001000 => 101111001000 => 011110010001
000010111100 => 001111010000 => 101111010000 => 011110100001
000001111100 => 001111100000 => 101111100000 => 011111000001
000111010010 => 010010111000 => 110010111000 => 100101110001
000111001010 => 010100111000 => 110100111000 => 101001110001
000110101010 => 010101011000 => 110101011000 => 101010110001
001001101010 => 010101100100 => 110101100100 => 101011001001
000101101010 => 010101101000 => 110101101000 => 101011010001
000011101010 => 010101110000 => 110101110000 => 101011100001
010100011010 => 010110001010 => 110110001010 => 101100010101
010010011010 => 010110010010 => 110110010010 => 101100100101
001010011010 => 010110010100 => 110110010100 => 101100101001
000110011010 => 010110011000 => 110110011000 => 101100110001
010001011010 => 010110100010 => 110110100010 => 101101000101
001001011010 => 010110100100 => 110110100100 => 101101001001
000101011010 => 010110101000 => 110110101000 => 101101010001
000011011010 => 010110110000 => 110110110000 => 101101100001
001000111010 => 010111000100 => 110111000100 => 101110001001
000100111010 => 010111001000 => 110111001000 => 101110010001
000010111010 => 010111010000 => 110111010000 => 101110100001
000001111010 => 010111100000 => 110111100000 => 101111000001
010101000110 => 011000101010 => 111000101010 => 110001010101
001101000110 => 011000101100 => 111000101100 => 110001011001
010011000110 => 011000110010 => 111000110010 => 110001100101
001011000110 => 011000110100 => 111000110100 => 110001101001
000111000110 => 011000111000 => 111000111000 => 110001110001
010010100110 => 011001010010 => 111001010010 => 110010100101
001010100110 => 011001010100 => 111001010100 => 110010101001
000110100110 => 011001011000 => 111001011000 => 110010110001
001001100110 => 011001100100 => 111001100100 => 110011001001
000101100110 => 011001101000 => 111001101000 => 110011010001
000011100110 => 011001110000 => 111001110000 => 110011100001
010100010110 => 011010001010 => 111010001010 => 110100010101
010010010110 => 011010010010 => 111010010010 => 110100100101
001010010110 => 011010010100 => 111010010100 => 110100101001
000110010110 => 011010011000 => 111010011000 => 110100110001
001001010110 => 011010100100 => 111010100100 => 110101001001
000101010110 => 011010101000 => 111010101000 => 110101010001
000011010110 => 011010110000 => 111010110000 => 110101100001
001000110110 => 011011000100 => 111011000100 => 110110001001
000100110110 => 011011001000 => 111011001000 => 110110010001
000010110110 => 011011010000 => 111011010000 => 110110100001
000001110110 => 011011100000 => 111011100000 => 110111000001
010100001110 => 011100001010 => 111100001010 => 111000010101
010010001110 => 011100010010 => 111100010010 => 111000100101
001010001110 => 011100010100 => 111100010100 => 111000101001
000110001110 => 011100011000 => 111100011000 => 111000110001
010001001110 => 011100100010 => 111100100010 => 111001000101
001001001110 => 011100100100 => 111100100100 => 111001001001
000101001110 => 011100101000 => 111100101000 => 111001010001
000011001110 => 011100110000 => 111100110000 => 111001100001
001000101110 => 011101000100 => 111101000100 => 111010001001
000100101110 => 011101001000 => 111101001000 => 111010010001
000010101110 => 011101010000 => 111101010000 => 111010100001
000001101110 => 011101100000 => 111101100000 => 111011000001
010000011110 => 011110000010 => 111110000010 => 111100000101
001000011110 => 011110000100 => 111110000100 => 111100001001
000100011110 => 011110001000 => 111110001000 => 111100010001
000010011110 => 011110010000 => 111110010000 => 111100100001
000001011110 => 011110100000 => 111110100000 => 111101000001
000000111110 => 011111000000 => 111111000000 => 111110000001
10111111101 => 10111111101 => 00111111101 => 01111111010
01011111101 => 10111111010 => 00111111010 => 01111110100
0110111001 => 1001110110 => 0001110110 => 0011101100
0000110001 => 1000110000 => 0000110000 => 0001100000
00000001001 => 10010000000 => 00010000000 => 00100000000
10000000001 => 10000000001 => 00000000001 => 00000000010
11000000001 => 10000000011 => 00000000011 => 00000000110
11100000001 => 10000000111 => 00000000111 => 00000001110
11110000001 => 10000001111 => 00000001111 => 00000011110
11111000001 => 10000011111 => 00000011111 => 00000111110
11111100001 => 10000111111 => 00000111111 => 00001111110
11111110001 => 10001111111 => 00001111111 => 00011111110
11111111001 => 10011111111 => 00011111111 => 00111111110
11111111111 => 11111111111 => 01111111111 => 11111111110
0110011011 => 1101100110 => 0101100110 => 1011001100
0100111011 => 1101110010 => 0101110010 => 1011100100
0110010011 => 1100100110 => 0100100110 => 1001001100
0110110011 => 1100110110 => 0100110110 => 1001101100
0100110111 => 1110110010 => 0110110010 => 1101100100
0110100111 => 1110010110 => 0110010110 => 1100101100
101011111001 => 100111110101 => 000111110101 => 001111101010
100110011011 => 110110011001 => 010110011001 => 101100110010
100100111011 => 110111001001 => 010111001001 => 101110010010
101000111011 => 110111000101 => 010111000101 => 101110001010
100110110011 => 110011011001 => 010011011001 => 100110110010
101100110011 => 110011001101 => 010011001101 => 100110011010
101011100011 => 110001110101 => 010001110101 => 100011101010
100110010111 => 111010011001 => 011010011001 => 110100110010
101100010111 => 111010001101 => 011010001101 => 110100011010
100100110111 => 111011001001 => 011011001001 => 110110010010
101000110111 => 111011000101 => 011011000101 => 110110001010
100110100111 => 111001011001 => 011001011001 => 110010110010
100101100111 => 111001101001 => 011001101001 => 110011010010
101001100111 => 111001100101 => 011001100101 => 110011001010
101101000111 => 111000101101 => 011000101101 => 110001011010
101011000111 => 111000110101 => 011000110101 => 110001101010
100100101111 => 111101001001 => 011101001001 => 111010010010
101000101111 => 111101000101 => 011101000101 => 111010001010
100101101111 => 111101101001 => 011101101001 => 111011010010
100101001111 => 111100101001 => 011100101001 => 111001010010
101001001111 => 111100100101 => 011100100101 => 111001001010
101010001111 => 111100010101 => 011100010101 => 111000101010
100110101010 => 010101011001 => 110101011001 => 101010110011
100101101010 => 010101101001 => 110101101001 => 101011010011
101010011010 => 010110010101 => 110110010101 => 101100101011
100110011010 => 010110011001 => 110110011001 => 101100110011
101001011010 => 010110100101 => 110110100101 => 101101001011
100101011010 => 010110101001 => 110110101001 => 101101010011
101000111010 => 010111000101 => 110111000101 => 101110001011
101010100110 => 011001010101 => 111001010101 => 110010101011
100110100110 => 011001011001 => 111001011001 => 110010110011
101001100110 => 011001100101 => 111001100101 => 110011001011
100101100110 => 011001101001 => 111001101001 => 110011010011
101010010110 => 011010010101 => 111010010101 => 110100101011
100110010110 => 011010011001 => 111010011001 => 110100110011
101001010110 => 011010100101 => 111010100101 => 110101001011
101010001110 => 011100010101 => 111100010101 => 111000101011
01011011010 => 01011011010 => 11011011010 => 10110110101
01011011011 => 11011011010 => 01011011010 => 10110110100
01101101010 => 01010110110 => 11010110110 => 10101101101
01101110110 => 01101110110 => 11101110110 => 11011101101
01101011010 => 01011010110 => 11011010110 => 10110101101
01101011011 => 11011010110 => 01011010110 => 10110101100
01101101011 => 11010110110 => 01010110110 => 10101101100
01101110111 => 11101110110 => 01101110110 => 11011101100
01110111010 => 01011101110 => 11011101110 => 10111011101
01110111101 => 10111101110 => 00111101110 => 01111011100
01110110110 => 01101101110 => 11101101110 => 11011011101
01110111011 => 11011101110 => 01011101110 => 10111011100
01110110111 => 11101101110 => 01101101110 => 11011011100
01111011101 => 10111011110 => 00111011110 => 01110111100
01111101111 => 11110111110 => 01110111110 => 11101111100
10110101010 => 01010101101 => 11010101101 => 10101011011
10110111011 => 11011101101 => 01011101101 => 10111011010
10111011010 => 01011011101 => 11011011101 => 10110111011
10111011011 => 11011011101 => 01011011101 => 10110111010
10101101010 => 01010110101 => 11010110101 => 10101101011
10101011011 => 11011010101 => 01011010101 => 10110101010
10101101011 => 11010110101 => 01010110101 => 10101101010
10101110111 => 11101110101 => 01101110101 => 11011101010
10110101011 => 11010101101 => 01010101101 => 10101011010
10110110111 => 11101101101 => 01101101101 => 11011011010
10111010111 => 11101011101 => 01101011101 => 11010111010
10111101111 => 11110111101 => 01110111101 => 11101111010
11011101010 => 01010111011 => 11010111011 => 10101110111
11011011010 => 01011011011 => 11011011011 => 10110110111
11011010110 => 01101011011 => 11101011011 => 11010110111
11011010101 => 10101011011 => 00101011011 => 01010110110
11011011011 => 11011011011 => 01011011011 => 10110110110
11011101011 => 11010111011 => 01010111011 => 10101110110
11011110111 => 11101111011 => 01101111011 => 11011110110
11010111010 => 01011101011 => 11011101011 => 10111010111
11010110101 => 10101101011 => 00101101011 => 01011010110
11010111011 => 11011101011 => 01011101011 => 10111010110
11010101101 => 10110101011 => 00110101011 => 01101010110
11010101011 => 11010101011 => 01010101011 => 10101010110
11010110111 => 11101101011 => 01101101011 => 11011010110
11011010111 => 11101011011 => 01101011011 => 11010110110
11011101111 => 11110111011 => 01110111011 => 11101110110
11101111010 => 01011110111 => 11011110111 => 10111101111
11101111011 => 11011110111 => 01011110111 => 10111101110
11101101011 => 11010110111 => 01010110111 => 10101101110
11101110111 => 11101110111 => 01101110111 => 11011101110
11101011011 => 11011010111 => 01011010111 => 10110101110
11101010111 => 11101010111 => 01101010111 => 11010101110
11101101111 => 11110110111 => 01110110111 => 11101101110
0011001111 => 1111001100 => 0111001100 => 1110011000
0000000011 => 1100000000 => 0100000000 => 1000000000
0001101111 => 1111011000 => 0111011000 => 1110110000
00000000011 => 11000000000 => 01000000000 => 10000000000
10001010101 => 10101010001 => 00101010001 => 01010100010
0001000011 => 1100001000 => 0100001000 => 1000010000
0111001011 => 1101001110 => 0101001110 => 1010011100
0111100111 => 1110011110 => 0110011110 => 1100111100
11000000000 => 00000000011 => 10000000011 => 00000000111
0110001011 => 1101000110 => 0101000110 => 1010001100
0110000111 => 1110000110 => 0110000110 => 1100001100
011100100011 => 110001001110 => 010001001110 => 100010011100
011010010011 => 110010010110 => 010010010110 => 100100101100
011100010011 => 110010001110 => 010010001110 => 100100011100
011000110011 => 110011000110 => 010011000110 => 100110001100
010110001011 => 110100011010 => 010100011010 => 101000110100
011010001011 => 110100010110 => 010100010110 => 101000101100
011100001011 => 110100001110 => 010100001110 => 101000011100
011000101011 => 110101000110 => 010101000110 => 101010001100
0011010110 => 0110101100 => 1110101100 => 1101011001
0100110110 => 0110110010 => 1110110010 => 1101100101
0101001110 => 0111001010 => 1111001010 => 1110010101
0011001110 => 0111001100 => 1111001100 => 1110011001
0100101110 => 0111010010 => 1111010010 => 1110100101
0100011110 => 0111100010 => 1111100010 => 1111000101
0010011110 => 0111100100 => 1111100100 => 1111001001
0101000000 => 0000001010 => 1000001010 => 0000010101
0001010101 => 1010101000 => 0010101000 => 0101010000
0101010001 => 1000101010 => 0000101010 => 0001010100
0100101001 => 1001010010 => 0001010010 => 0010100100
0001001011 => 1101001000 => 0101001000 => 1010010000
0001110111 => 1110111000 => 0110111000 => 1101110000
0111000000 => 0000001110 => 1000001110 => 0000011101
0010000000 => 0000000100 => 1000000100 => 0000001001
01110000000 => 00000001110 => 10000001110 => 00000011101
0110100000 => 0000010110 => 1000010110 => 0000101101
01111100000 => 00000111110 => 10000111110 => 00001111101
01111111000 => 00011111110 => 10011111110 => 00111111101
0111111010 => 0101111110 => 1101111110 => 1011111101
101101010101 => 101010101101 => 001010101101 => 010101011010
101011010101 => 101010110101 => 001010110101 => 010101101010
101100110101 => 101011001101 => 001011001101 => 010110011010
110010110101 => 101011010011 => 001011010011 => 010110100110
101010110101 => 101011010101 => 001011010101 => 010110101010
100110110101 => 101011011001 => 001011011001 => 010110110010
101001110101 => 101011100101 => 001011100101 => 010111001010
100011110101 => 101011110001 => 001011110001 => 010111100010
101101001101 => 101100101101 => 001100101101 => 011001011010
101011001101 => 101100110101 => 001100110101 => 011001101010
100111001101 => 101100111001 => 001100111001 => 011001110010
110100101101 => 101101001011 => 001101001011 => 011010010110
101100101101 => 101101001101 => 001101001101 => 011010011010
110010101101 => 101101010011 => 001101010011 => 011010100110
101010101101 => 101101010101 => 001101010101 => 011010101010
110001101101 => 101101100011 => 001101100011 => 011011000110
101100011101 => 101110001101 => 001110001101 => 011100011010
110010011101 => 101110010011 => 001110010011 => 011100100110
100110011101 => 101110011001 => 001110011001 => 011100110010
101001011101 => 101110100101 => 001110100101 => 011101001010
100011011101 => 101110110001 => 001110110001 => 011101100010
100100111101 => 101111001001 => 001111001001 => 011110010010
100010111101 => 101111010001 => 001111010001 => 011110100010
100001111101 => 101111100001 => 001111100001 => 011111000010
101101010011 => 110010101101 => 010010101101 => 100101011010
101011010011 => 110010110101 => 010010110101 => 100101101010
100111010011 => 110010111001 => 010010111001 => 100101110010
110010110011 => 110011010011 => 010011010011 => 100110100110
101010110011 => 110011010101 => 010011010101 => 100110101010
110101001011 => 110100101011 => 010100101011 => 101001010110
101101001011 => 110100101101 => 010100101101 => 101001011010
110011001011 => 110100110011 => 010100110011 => 101001100110
101011001011 => 110100110101 => 010100110101 => 101001101010
110100101011 => 110101001011 => 010101001011 => 101010010110
101100101011 => 110101001101 => 010101001101 => 101010011010
110010101011 => 110101010011 => 010101010011 => 101010100110
101010101011 => 110101010101 => 010101010101 => 101010101010
100110101011 => 110101011001 => 010101011001 => 101010110010
110001101011 => 110101100011 => 010101100011 => 101011000110
101001101011 => 110101100101 => 010101100101 => 101011001010
100101101011 => 110101101001 => 010101101001 => 101011010010
100011101011 => 110101110001 => 010101110001 => 101011100010
110100011011 => 110110001011 => 010110001011 => 101100010110
101010011011 => 110110010101 => 010110010101 => 101100101010
110001011011 => 110110100011 => 010110100011 => 101101000110
101001011011 => 110110100101 => 010110100101 => 101101001010
100101011011 => 110110101001 => 010110101001 => 101101010010
100011011011 => 110110110001 => 010110110001 => 101101100010
100010111011 => 110111010001 => 010111010001 => 101110100010
100001111011 => 110111100001 => 010111100001 => 101111000010
100111000111 => 111000111001 => 011000111001 => 110001110010
110100100111 => 111001001011 => 011001001011 => 110010010110
110010100111 => 111001010011 => 011001010011 => 110010100110
101010100111 => 111001010101 => 011001010101 => 110010101010
110001100111 => 111001100011 => 011001100011 => 110011000110
100011100111 => 111001110001 => 011001110001 => 110011100010
110100010111 => 111010001011 => 011010001011 => 110100010110
110010010111 => 111010010011 => 011010010011 => 110100100110
101010010111 => 111010010101 => 011010010101 => 110100101010
110001010111 => 111010100011 => 011010100011 => 110101000110
101001010111 => 111010100101 => 011010100101 => 110101001010
100101010111 => 111010101001 => 011010101001 => 110101010010
100011010111 => 111010110001 => 011010110001 => 110101100010
110000110111 => 111011000011 => 011011000011 => 110110000110
100010110111 => 111011010001 => 011011010001 => 110110100010
100001110111 => 111011100001 => 011011100001 => 110111000010
110010001111 => 111100010011 => 011100010011 => 111000100110
100110001111 => 111100011001 => 011100011001 => 111000110010
110001001111 => 111100100011 => 011100100011 => 111001000110
100011001111 => 111100110001 => 011100110001 => 111001100010
110000101111 => 111101000011 => 011101000011 => 111010000110
100010101111 => 111101010001 => 011101010001 => 111010100010
100001101111 => 111101100001 => 011101100001 => 111011000010
101000011111 => 111110000101 => 011110000101 => 111100001010
100100011111 => 111110001001 => 011110001001 => 111100010010
100010011111 => 111110010001 => 011110010001 => 111100100010
100001011111 => 111110100001 => 011110100001 => 111101000010
100000111111 => 111111000001 => 011111000001 => 111110000010
0000001111 => 1111000000 => 0111000000 => 1110000000
0011111111 => 1111111100 => 0111111100 => 1111111000
00000001111 => 11110000000 => 01110000000 => 11100000000
00000111111 => 11111100000 => 01111100000 => 11111000000
0001011111 => 1111101000 => 0111101000 => 1111010000
00011111111 => 11111111000 => 01111111000 => 11111110000
10111111111 => 11111111101 => 01111111101 => 11111111010
0010111001 => 1001110100 => 0001110100 => 0011101000
0001111001 => 1001111000 => 0001111000 => 0011110000
001100111001 => 100111001100 => 000111001100 => 001110011000
001010111001 => 100111010100 => 000111010100 => 001110101000
001110110001 => 100011011100 => 000011011100 => 000110111000
001101101001 => 100101101100 => 000101101100 => 001011011000
001101110001 => 100011101100 => 000011101100 => 000111011000
001011100101 => 101001110100 => 001001110100 => 010011101000
001011101001 => 100101110100 => 000101110100 => 001011101000
001011110001 => 100011110100 => 000011110100 => 000111101000
11000001111 => 11110000011 => 01110000011 => 11100000110
11000111111 => 11111100011 => 01111100011 => 11111000110
111000101011 => 110101000111 => 010101000111 => 101010001110
101110001011 => 110100011101 => 010100011101 => 101000111010
111100001011 => 110100001111 => 010100001111 => 101000011110
101111000011 => 110000111101 => 010000111101 => 100001111010
11000100010 => 01000100011 => 11000100011 => 10001000111
10101001000 => 00010010101 => 10010010101 => 00100101011
10100101000 => 00010100101 => 10010100101 => 00101001011
10010101000 => 00010101001 => 10010101001 => 00101010011
00010101010 => 01010101000 => 11010101000 => 10101010001
00000100010 => 01000100000 => 11000100000 => 10001000001
0011100011 => 1100011100 => 0100011100 => 1000111000
001011100011 => 110001110100 => 010001110100 => 100011101000
111000001110 => 011100000111 => 111100000111 => 111000001111
001011011001 => 100110110100 => 000110110100 => 001101101000
001110001101 => 101100011100 => 001100011100 => 011000111000
001110010011 => 110010011100 => 010010011100 => 100100111000
001110011001 => 100110011100 => 000110011100 => 001100111000
001110100101 => 101001011100 => 001001011100 => 010010111000
001111001001 => 100100111100 => 000100111100 => 001001111000
10101010000 => 00001010101 => 10001010101 => 00010101011
11111000000 => 00000011111 => 10000011111 => 00000111111
01110100000 => 00000101110 => 10000101110 => 00001011101
10101000001 => 10000010101 => 00000010101 => 00000101010
01000100000 => 00000100010 => 10000100010 => 00001000101
10101000000 => 00000010101 => 10000010101 => 00000101011
110100010110 => 011010001011 => 111010001011 => 110100010111
110010001110 => 011100010011 => 111100010011 => 111000100111
100110011100 => 001110011001 => 101110011001 => 011100110011
100110110100 => 001011011001 => 101011011001 => 010110110011
0010010101 => 1010100100 => 0010100100 => 0101001000
00010001011 => 11010001000 => 01010001000 => 10100010000
0010110000 => 0000110100 => 1000110100 => 0001101001
0101010111 => 1110101010 => 0110101010 => 1101010100
10101010001 => 10001010101 => 00001010101 => 00010101010
111000010110 => 011010000111 => 111010000111 => 110100001111
100100111100 => 001111001001 => 101111001001 => 011110010011
110000110110 => 011011000011 => 111011000011 => 110110000111
110100011010 => 010110001011 => 110110001011 => 101100010111
111000011010 => 010110000111 => 110110000111 => 101100001111
101100011100 => 001110001101 => 101110001101 => 011100011011
110010011100 => 001110010011 => 101110010011 => 011100100111
111000011011 => 110110000111 => 010110000111 => 101100001110
110011001110 => 011100110011 => 111100110011 => 111001100111
111100001110 => 011100001111 => 111100001111 => 111000011111
111000100111 => 111001000111 => 011001000111 => 110010001110
111000010111 => 111010000111 => 011010000111 => 110100001110
101010111100 => 001111010101 => 101111010101 => 011110101011
101100111100 => 001111001101 => 101111001101 => 011110011011
100110111100 => 001111011001 => 101111011001 => 011110110011
111000111100 => 001111000111 => 101111000111 => 011110001111
111000011110 => 011110000111 => 111110000111 => 111100001111
101011111000 => 000111110101 => 100111110101 => 001111101011
101001111100 => 001111100101 => 101111100101 => 011111001011
101111110000 => 000011111101 => 100011111101 => 000111111011
100111111000 => 000111111001 => 100111111001 => 001111110011
111111100000 => 000001111111 => 100001111111 => 000011111111
11111100000 => 00000111111 => 10000111111 => 00001111111
01111100010 => 01000111110 => 11000111110 => 10001111101
01111101000 => 00010111110 => 10010111110 => 00101111101
01000101111 => 11110100010 => 01110100010 => 11101000100
11111111100 => 00111111111 => 10111111111 => 01111111111
0010101111 => 1111010100 => 0111010100 => 1110101000
01010101000 => 00010101010 => 10010101010 => 00101010101
01000000010 => 01000000010 => 11000000010 => 10000000101
100111011001 => 100110111001 => 000110111001 => 001101110010
100111100101 => 101001111001 => 001001111001 => 010011110010
110111101101 => 101101111011 => 001101111011 => 011011110110
110010000101 => 101000010011 => 001000010011 => 010000100110
110001001001 => 100100100011 => 000100100011 => 001001000110
110000100101 => 101001000011 => 001001000011 => 010010000110
111011011101 => 101110110111 => 001110110111 => 011101101110
111011101101 => 101101110111 => 001101110111 => 011011101110
111011110101 => 101011110111 => 001011110111 => 010111101110
111101101101 => 101101101111 => 001101101111 => 011011011110
111110101101 => 101101011111 => 001101011111 => 011010111110
111110110101 => 101011011111 => 001011011111 => 010110111110
100001011000 => 000110100001 => 100110100001 => 001101000011
110101000110 => 011000101011 => 111000101011 => 110001010111
110001001000 => 000100100011 => 100100100011 => 001001000111
10101011010101 => 10101011010101 => 00101011010101 => 01010110101010
100100111111 => 111111001001 => 011111001001 => 111110010010
101010101111 => 111101010101 => 011101010101 => 111010101010
100111001111 => 111100111001 => 011100111001 => 111001110010
111110110100 => 001011011111 => 101011011111 => 010110111111
111011110100 => 001011110111 => 101011110111 => 010111101111
111011011100 => 001110110111 => 101110110111 => 011101101111
110011000110 => 011000110011 => 111000110011 => 110001100111
110001001110 => 011100100011 => 111100100011 => 111001000111
110001101100 => 001101100011 => 101101100011 => 011011000111
110001100110 => 011001100011 => 111001100011 => 110011000111
110001110010 => 010011100011 => 110011100011 => 100111000111
110000100100 => 001001000011 => 101001000011 => 010010000111
111011101100 => 001101110111 => 101101110111 => 011011101111
111101101100 => 001101101111 => 101101101111 => 011011011111
111110101100 => 001101011111 => 101101011111 => 011010111111
110010010110 => 011010010011 => 111010010011 => 110100100111
111100000110 => 011000001111 => 111000001111 => 110000011111
110100001110 => 011100001011 => 111100001011 => 111000010111
10100000001 => 10000000101 => 00000000101 => 00000001010
10010101011 => 11010101001 => 01010101001 => 10101010010
01000111011 => 11011100010 => 01011100010 => 10111000100
00010111011 => 11011101000 => 01011101000 => 10111010000
0101001000 => 0001001010 => 1001001010 => 0010010101
0101010000 => 0000101010 => 1000101010 => 0001010101
0100101000 => 0001010010 => 1001010010 => 0010100101
010011100011 => 110001110010 => 010001110010 => 100011100100
010110100011 => 110001011010 => 010001011010 => 100010110100
011001001011 => 110100100110 => 010100100110 => 101001001100
011011000011 => 110000110110 => 010000110110 => 100001101100
0010100101 => 1010010100 => 0010010100 => 0100101000
0010101001 => 1001010100 => 0001010100 => 0010101000
0101001001 => 1001001010 => 0001001010 => 0010010100
0010110111 => 1110110100 => 0110110100 => 1101101000
0010011111 => 1111100100 => 0111100100 => 1111001000
11111111000 => 00011111111 => 10011111111 => 00111111111
0101101011 => 1101011010 => 0101011010 => 1010110100
0011011011 => 1101101100 => 0101101100 => 1011011000
0001111011 => 1101111000 => 0101111000 => 1011110000
110001101111 => 111101100011 => 011101100011 => 111011000110
11100000000 => 00000000111 => 10000000111 => 00000001111
11110000000 => 00000001111 => 10000001111 => 00000011111
11111110000 => 00001111111 => 10001111111 => 00011111111
11011100010 => 01000111011 => 11000111011 => 10001110111
110001011010 => 010110100011 => 110110100011 => 101101000111
110100100110 => 011001001011 => 111001001011 => 110010010111
11101010101 => 10101010111 => 00101010111 => 01010101110
01110111111 => 11111101110 => 01111101110 => 11111011100
110010000100 => 001000010011 => 101000010011 => 010000100111
100110000100 => 001000011001 => 101000011001 => 010000110011
100001100100 => 001001100001 => 101001100001 => 010011000011
100011000100 => 001000110001 => 101000110001 => 010001100011
101001011100 => 001110100101 => 101110100101 => 011101001011
11110001111 => 11110001111 => 01110001111 => 11100011110
11110001110 => 01110001111 => 11110001111 => 11100011111
11000100011 => 11000100011 => 01000100011 => 10001000110
11011100011 => 11000111011 => 01000111011 => 10001110110
00011100011 => 11000111000 => 01000111000 => 10001110000
00011101110 => 01110111000 => 11110111000 => 11101110001
00010001111 => 11110001000 => 01110001000 => 11100010000
00010000011 => 11000001000 => 01000001000 => 10000010000
00010001110 => 01110001000 => 11110001000 => 11100010001
00000100011 => 11000100000 => 01000100000 => 10001000000
00011101111 => 11110111000 => 01110111000 => 11101110000
00011100010 => 01000111000 => 11000111000 => 10001110001
00010111010 => 01011101000 => 11011101000 => 10111010001
01110100011 => 11000101110 => 01000101110 => 10001011100
01110001111 => 11110001110 => 01110001110 => 11100011100
01110000011 => 11000001110 => 01000001110 => 10000011100
01110001110 => 01110001110 => 11110001110 => 11100011101
01110111110 => 01111101110 => 11111101110 => 11111011101
01110100010 => 01000101110 => 11000101110 => 10001011101
01111100011 => 11000111110 => 01000111110 => 10001111100
01111101110 => 01110111110 => 11110111110 => 11101111101
01110000010 => 01000001110 => 11000001110 => 10000011101
01000100011 => 11000100010 => 01000100010 => 10001000100
01000101110 => 01110100010 => 11110100010 => 11101000101
01000111110 => 01111100010 => 11111100010 => 11111000101
01000001110 => 01110000010 => 11110000010 => 11100000101
01000111010 => 01011100010 => 11011100010 => 10111000101
00100001011 => 11010000100 => 01010000100 => 10100001000
00101000011 => 11000010100 => 01000010100 => 10000101000
00101010110 => 01101010100 => 11101010100 => 11010101001
100111000110 => 011000111001 => 111000111001 => 110001110011
101101000110 => 011000101101 => 111000101101 => 110001011011
100111010010 => 010010111001 => 110010111001 => 100101110011
101100010110 => 011010001101 => 111010001101 => 110100011011
11101011010 => 01011010111 => 11011010111 => 10110101111
11101010110 => 01101010111 => 11101010111 => 11010101111
11101101010 => 01010110111 => 11010110111 => 10101101111
Map
reverse
Description
Return the reversal of a binary word.
Map
twist
Description
Return the binary word with first letter inverted.
Map
rotate front-to-back
Description
The rotation of a binary word, first letter last.
This is the word obtained by moving the first letter to the end.