Identifier
Mp00200: Binary words twistBinary words
Mp00104: Binary words reverseBinary words
Mp00136: Binary words rotate back-to-frontBinary words
Images
0 => 1 => 1 => 1
1 => 0 => 0 => 0
00 => 10 => 01 => 10
01 => 11 => 11 => 11
10 => 00 => 00 => 00
11 => 01 => 10 => 01
000 => 100 => 001 => 100
001 => 101 => 101 => 110
010 => 110 => 011 => 101
011 => 111 => 111 => 111
100 => 000 => 000 => 000
101 => 001 => 100 => 010
110 => 010 => 010 => 001
111 => 011 => 110 => 011
0000 => 1000 => 0001 => 1000
0001 => 1001 => 1001 => 1100
0010 => 1010 => 0101 => 1010
0011 => 1011 => 1101 => 1110
0100 => 1100 => 0011 => 1001
0101 => 1101 => 1011 => 1101
0110 => 1110 => 0111 => 1011
0111 => 1111 => 1111 => 1111
1000 => 0000 => 0000 => 0000
1001 => 0001 => 1000 => 0100
1010 => 0010 => 0100 => 0010
1011 => 0011 => 1100 => 0110
1100 => 0100 => 0010 => 0001
1101 => 0101 => 1010 => 0101
1110 => 0110 => 0110 => 0011
1111 => 0111 => 1110 => 0111
00000 => 10000 => 00001 => 10000
00001 => 10001 => 10001 => 11000
00010 => 10010 => 01001 => 10100
00011 => 10011 => 11001 => 11100
00100 => 10100 => 00101 => 10010
00101 => 10101 => 10101 => 11010
00110 => 10110 => 01101 => 10110
00111 => 10111 => 11101 => 11110
01000 => 11000 => 00011 => 10001
01001 => 11001 => 10011 => 11001
01010 => 11010 => 01011 => 10101
01011 => 11011 => 11011 => 11101
01100 => 11100 => 00111 => 10011
01101 => 11101 => 10111 => 11011
01110 => 11110 => 01111 => 10111
01111 => 11111 => 11111 => 11111
10000 => 00000 => 00000 => 00000
10001 => 00001 => 10000 => 01000
10010 => 00010 => 01000 => 00100
10011 => 00011 => 11000 => 01100
10100 => 00100 => 00100 => 00010
10101 => 00101 => 10100 => 01010
10110 => 00110 => 01100 => 00110
10111 => 00111 => 11100 => 01110
11000 => 01000 => 00010 => 00001
11001 => 01001 => 10010 => 01001
11010 => 01010 => 01010 => 00101
11011 => 01011 => 11010 => 01101
11100 => 01100 => 00110 => 00011
11101 => 01101 => 10110 => 01011
11110 => 01110 => 01110 => 00111
11111 => 01111 => 11110 => 01111
000000 => 100000 => 000001 => 100000
000001 => 100001 => 100001 => 110000
000010 => 100010 => 010001 => 101000
000011 => 100011 => 110001 => 111000
000100 => 100100 => 001001 => 100100
000101 => 100101 => 101001 => 110100
000110 => 100110 => 011001 => 101100
000111 => 100111 => 111001 => 111100
001000 => 101000 => 000101 => 100010
001001 => 101001 => 100101 => 110010
001010 => 101010 => 010101 => 101010
001011 => 101011 => 110101 => 111010
001100 => 101100 => 001101 => 100110
001101 => 101101 => 101101 => 110110
001110 => 101110 => 011101 => 101110
001111 => 101111 => 111101 => 111110
010000 => 110000 => 000011 => 100001
010001 => 110001 => 100011 => 110001
010010 => 110010 => 010011 => 101001
010011 => 110011 => 110011 => 111001
010100 => 110100 => 001011 => 100101
010101 => 110101 => 101011 => 110101
010110 => 110110 => 011011 => 101101
010111 => 110111 => 111011 => 111101
011000 => 111000 => 000111 => 100011
011001 => 111001 => 100111 => 110011
011010 => 111010 => 010111 => 101011
011011 => 111011 => 110111 => 111011
011100 => 111100 => 001111 => 100111
011101 => 111101 => 101111 => 110111
011110 => 111110 => 011111 => 101111
011111 => 111111 => 111111 => 111111
100000 => 000000 => 000000 => 000000
100001 => 000001 => 100000 => 010000
100010 => 000010 => 010000 => 001000
100011 => 000011 => 110000 => 011000
100100 => 000100 => 001000 => 000100
100101 => 000101 => 101000 => 010100
100110 => 000110 => 011000 => 001100
>>> Load all 2653 entries. <<<
100111 => 000111 => 111000 => 011100
101000 => 001000 => 000100 => 000010
101001 => 001001 => 100100 => 010010
101010 => 001010 => 010100 => 001010
101011 => 001011 => 110100 => 011010
101100 => 001100 => 001100 => 000110
101101 => 001101 => 101100 => 010110
101110 => 001110 => 011100 => 001110
101111 => 001111 => 111100 => 011110
110000 => 010000 => 000010 => 000001
110001 => 010001 => 100010 => 010001
110010 => 010010 => 010010 => 001001
110011 => 010011 => 110010 => 011001
110100 => 010100 => 001010 => 000101
110101 => 010101 => 101010 => 010101
110110 => 010110 => 011010 => 001101
110111 => 010111 => 111010 => 011101
111000 => 011000 => 000110 => 000011
111001 => 011001 => 100110 => 010011
111010 => 011010 => 010110 => 001011
111011 => 011011 => 110110 => 011011
111100 => 011100 => 001110 => 000111
111101 => 011101 => 101110 => 010111
111110 => 011110 => 011110 => 001111
111111 => 011111 => 111110 => 011111
0000000 => 1000000 => 0000001 => 1000000
0000001 => 1000001 => 1000001 => 1100000
0000010 => 1000010 => 0100001 => 1010000
0000011 => 1000011 => 1100001 => 1110000
0000100 => 1000100 => 0010001 => 1001000
0000101 => 1000101 => 1010001 => 1101000
0000110 => 1000110 => 0110001 => 1011000
0000111 => 1000111 => 1110001 => 1111000
0001000 => 1001000 => 0001001 => 1000100
0001001 => 1001001 => 1001001 => 1100100
0001010 => 1001010 => 0101001 => 1010100
0001011 => 1001011 => 1101001 => 1110100
0001100 => 1001100 => 0011001 => 1001100
0001101 => 1001101 => 1011001 => 1101100
0001110 => 1001110 => 0111001 => 1011100
0001111 => 1001111 => 1111001 => 1111100
0010000 => 1010000 => 0000101 => 1000010
0010001 => 1010001 => 1000101 => 1100010
0010010 => 1010010 => 0100101 => 1010010
0010011 => 1010011 => 1100101 => 1110010
0010100 => 1010100 => 0010101 => 1001010
0010101 => 1010101 => 1010101 => 1101010
0010110 => 1010110 => 0110101 => 1011010
0010111 => 1010111 => 1110101 => 1111010
0011000 => 1011000 => 0001101 => 1000110
0011001 => 1011001 => 1001101 => 1100110
0011010 => 1011010 => 0101101 => 1010110
0011011 => 1011011 => 1101101 => 1110110
0011100 => 1011100 => 0011101 => 1001110
0011101 => 1011101 => 1011101 => 1101110
0011110 => 1011110 => 0111101 => 1011110
0011111 => 1011111 => 1111101 => 1111110
0100000 => 1100000 => 0000011 => 1000001
0100001 => 1100001 => 1000011 => 1100001
0100010 => 1100010 => 0100011 => 1010001
0100011 => 1100011 => 1100011 => 1110001
0100100 => 1100100 => 0010011 => 1001001
0100101 => 1100101 => 1010011 => 1101001
0100110 => 1100110 => 0110011 => 1011001
0100111 => 1100111 => 1110011 => 1111001
0101000 => 1101000 => 0001011 => 1000101
0101001 => 1101001 => 1001011 => 1100101
0101010 => 1101010 => 0101011 => 1010101
0101011 => 1101011 => 1101011 => 1110101
0101100 => 1101100 => 0011011 => 1001101
0101101 => 1101101 => 1011011 => 1101101
0101110 => 1101110 => 0111011 => 1011101
0101111 => 1101111 => 1111011 => 1111101
0110000 => 1110000 => 0000111 => 1000011
0110001 => 1110001 => 1000111 => 1100011
0110010 => 1110010 => 0100111 => 1010011
0110011 => 1110011 => 1100111 => 1110011
0110100 => 1110100 => 0010111 => 1001011
0110101 => 1110101 => 1010111 => 1101011
0110110 => 1110110 => 0110111 => 1011011
0110111 => 1110111 => 1110111 => 1111011
0111000 => 1111000 => 0001111 => 1000111
0111001 => 1111001 => 1001111 => 1100111
0111010 => 1111010 => 0101111 => 1010111
0111011 => 1111011 => 1101111 => 1110111
0111100 => 1111100 => 0011111 => 1001111
0111101 => 1111101 => 1011111 => 1101111
0111110 => 1111110 => 0111111 => 1011111
0111111 => 1111111 => 1111111 => 1111111
1000000 => 0000000 => 0000000 => 0000000
1000001 => 0000001 => 1000000 => 0100000
1000010 => 0000010 => 0100000 => 0010000
1000011 => 0000011 => 1100000 => 0110000
1000100 => 0000100 => 0010000 => 0001000
1000101 => 0000101 => 1010000 => 0101000
1000110 => 0000110 => 0110000 => 0011000
1000111 => 0000111 => 1110000 => 0111000
1001000 => 0001000 => 0001000 => 0000100
1001001 => 0001001 => 1001000 => 0100100
1001010 => 0001010 => 0101000 => 0010100
1001011 => 0001011 => 1101000 => 0110100
1001100 => 0001100 => 0011000 => 0001100
1001101 => 0001101 => 1011000 => 0101100
1001110 => 0001110 => 0111000 => 0011100
1001111 => 0001111 => 1111000 => 0111100
1010000 => 0010000 => 0000100 => 0000010
1010001 => 0010001 => 1000100 => 0100010
1010010 => 0010010 => 0100100 => 0010010
1010011 => 0010011 => 1100100 => 0110010
1010100 => 0010100 => 0010100 => 0001010
1010101 => 0010101 => 1010100 => 0101010
1010110 => 0010110 => 0110100 => 0011010
1010111 => 0010111 => 1110100 => 0111010
1011000 => 0011000 => 0001100 => 0000110
1011001 => 0011001 => 1001100 => 0100110
1011010 => 0011010 => 0101100 => 0010110
1011011 => 0011011 => 1101100 => 0110110
1011100 => 0011100 => 0011100 => 0001110
1011101 => 0011101 => 1011100 => 0101110
1011110 => 0011110 => 0111100 => 0011110
1011111 => 0011111 => 1111100 => 0111110
1100000 => 0100000 => 0000010 => 0000001
1100001 => 0100001 => 1000010 => 0100001
1100010 => 0100010 => 0100010 => 0010001
1100011 => 0100011 => 1100010 => 0110001
1100100 => 0100100 => 0010010 => 0001001
1100101 => 0100101 => 1010010 => 0101001
1100110 => 0100110 => 0110010 => 0011001
1100111 => 0100111 => 1110010 => 0111001
1101000 => 0101000 => 0001010 => 0000101
1101001 => 0101001 => 1001010 => 0100101
1101010 => 0101010 => 0101010 => 0010101
1101011 => 0101011 => 1101010 => 0110101
1101100 => 0101100 => 0011010 => 0001101
1101101 => 0101101 => 1011010 => 0101101
1101110 => 0101110 => 0111010 => 0011101
1101111 => 0101111 => 1111010 => 0111101
1110000 => 0110000 => 0000110 => 0000011
1110001 => 0110001 => 1000110 => 0100011
1110010 => 0110010 => 0100110 => 0010011
1110011 => 0110011 => 1100110 => 0110011
1110100 => 0110100 => 0010110 => 0001011
1110101 => 0110101 => 1010110 => 0101011
1110110 => 0110110 => 0110110 => 0011011
1110111 => 0110111 => 1110110 => 0111011
1111000 => 0111000 => 0001110 => 0000111
1111001 => 0111001 => 1001110 => 0100111
1111010 => 0111010 => 0101110 => 0010111
1111011 => 0111011 => 1101110 => 0110111
1111100 => 0111100 => 0011110 => 0001111
1111101 => 0111101 => 1011110 => 0101111
1111110 => 0111110 => 0111110 => 0011111
1111111 => 0111111 => 1111110 => 0111111
00000000 => 10000000 => 00000001 => 10000000
00000001 => 10000001 => 10000001 => 11000000
00000010 => 10000010 => 01000001 => 10100000
00000011 => 10000011 => 11000001 => 11100000
00000100 => 10000100 => 00100001 => 10010000
00000101 => 10000101 => 10100001 => 11010000
00000110 => 10000110 => 01100001 => 10110000
00000111 => 10000111 => 11100001 => 11110000
00001000 => 10001000 => 00010001 => 10001000
00001001 => 10001001 => 10010001 => 11001000
00001010 => 10001010 => 01010001 => 10101000
00001011 => 10001011 => 11010001 => 11101000
00001100 => 10001100 => 00110001 => 10011000
00001101 => 10001101 => 10110001 => 11011000
00001110 => 10001110 => 01110001 => 10111000
00001111 => 10001111 => 11110001 => 11111000
00010000 => 10010000 => 00001001 => 10000100
00010001 => 10010001 => 10001001 => 11000100
00010010 => 10010010 => 01001001 => 10100100
00010011 => 10010011 => 11001001 => 11100100
00010100 => 10010100 => 00101001 => 10010100
00010101 => 10010101 => 10101001 => 11010100
00010110 => 10010110 => 01101001 => 10110100
00010111 => 10010111 => 11101001 => 11110100
00011000 => 10011000 => 00011001 => 10001100
00011001 => 10011001 => 10011001 => 11001100
00011010 => 10011010 => 01011001 => 10101100
00011011 => 10011011 => 11011001 => 11101100
00011100 => 10011100 => 00111001 => 10011100
00011101 => 10011101 => 10111001 => 11011100
00011110 => 10011110 => 01111001 => 10111100
00011111 => 10011111 => 11111001 => 11111100
00100000 => 10100000 => 00000101 => 10000010
00100001 => 10100001 => 10000101 => 11000010
00100010 => 10100010 => 01000101 => 10100010
00100011 => 10100011 => 11000101 => 11100010
00100100 => 10100100 => 00100101 => 10010010
00100101 => 10100101 => 10100101 => 11010010
00100110 => 10100110 => 01100101 => 10110010
00100111 => 10100111 => 11100101 => 11110010
00101000 => 10101000 => 00010101 => 10001010
00101001 => 10101001 => 10010101 => 11001010
00101010 => 10101010 => 01010101 => 10101010
00101011 => 10101011 => 11010101 => 11101010
00101100 => 10101100 => 00110101 => 10011010
00101101 => 10101101 => 10110101 => 11011010
00101110 => 10101110 => 01110101 => 10111010
00101111 => 10101111 => 11110101 => 11111010
00110000 => 10110000 => 00001101 => 10000110
00110001 => 10110001 => 10001101 => 11000110
00110010 => 10110010 => 01001101 => 10100110
00110011 => 10110011 => 11001101 => 11100110
00110100 => 10110100 => 00101101 => 10010110
00110101 => 10110101 => 10101101 => 11010110
00110110 => 10110110 => 01101101 => 10110110
00110111 => 10110111 => 11101101 => 11110110
00111000 => 10111000 => 00011101 => 10001110
00111001 => 10111001 => 10011101 => 11001110
00111010 => 10111010 => 01011101 => 10101110
00111011 => 10111011 => 11011101 => 11101110
00111100 => 10111100 => 00111101 => 10011110
00111101 => 10111101 => 10111101 => 11011110
00111110 => 10111110 => 01111101 => 10111110
00111111 => 10111111 => 11111101 => 11111110
01000000 => 11000000 => 00000011 => 10000001
01000001 => 11000001 => 10000011 => 11000001
01000010 => 11000010 => 01000011 => 10100001
01000011 => 11000011 => 11000011 => 11100001
01000100 => 11000100 => 00100011 => 10010001
01000101 => 11000101 => 10100011 => 11010001
01000110 => 11000110 => 01100011 => 10110001
01000111 => 11000111 => 11100011 => 11110001
01001000 => 11001000 => 00010011 => 10001001
01001001 => 11001001 => 10010011 => 11001001
01001010 => 11001010 => 01010011 => 10101001
01001011 => 11001011 => 11010011 => 11101001
01001100 => 11001100 => 00110011 => 10011001
01001101 => 11001101 => 10110011 => 11011001
01001110 => 11001110 => 01110011 => 10111001
01001111 => 11001111 => 11110011 => 11111001
01010000 => 11010000 => 00001011 => 10000101
01010001 => 11010001 => 10001011 => 11000101
01010010 => 11010010 => 01001011 => 10100101
01010011 => 11010011 => 11001011 => 11100101
01010100 => 11010100 => 00101011 => 10010101
01010101 => 11010101 => 10101011 => 11010101
01010110 => 11010110 => 01101011 => 10110101
01010111 => 11010111 => 11101011 => 11110101
01011000 => 11011000 => 00011011 => 10001101
01011001 => 11011001 => 10011011 => 11001101
01011010 => 11011010 => 01011011 => 10101101
01011011 => 11011011 => 11011011 => 11101101
01011100 => 11011100 => 00111011 => 10011101
01011101 => 11011101 => 10111011 => 11011101
01011110 => 11011110 => 01111011 => 10111101
01011111 => 11011111 => 11111011 => 11111101
01100000 => 11100000 => 00000111 => 10000011
01100001 => 11100001 => 10000111 => 11000011
01100010 => 11100010 => 01000111 => 10100011
01100011 => 11100011 => 11000111 => 11100011
01100100 => 11100100 => 00100111 => 10010011
01100101 => 11100101 => 10100111 => 11010011
01100110 => 11100110 => 01100111 => 10110011
01100111 => 11100111 => 11100111 => 11110011
01101000 => 11101000 => 00010111 => 10001011
01101001 => 11101001 => 10010111 => 11001011
01101010 => 11101010 => 01010111 => 10101011
01101011 => 11101011 => 11010111 => 11101011
01101100 => 11101100 => 00110111 => 10011011
01101101 => 11101101 => 10110111 => 11011011
01101110 => 11101110 => 01110111 => 10111011
01101111 => 11101111 => 11110111 => 11111011
01110000 => 11110000 => 00001111 => 10000111
01110001 => 11110001 => 10001111 => 11000111
01110010 => 11110010 => 01001111 => 10100111
01110011 => 11110011 => 11001111 => 11100111
01110100 => 11110100 => 00101111 => 10010111
01110101 => 11110101 => 10101111 => 11010111
01110110 => 11110110 => 01101111 => 10110111
01110111 => 11110111 => 11101111 => 11110111
01111000 => 11111000 => 00011111 => 10001111
01111001 => 11111001 => 10011111 => 11001111
01111010 => 11111010 => 01011111 => 10101111
01111011 => 11111011 => 11011111 => 11101111
01111100 => 11111100 => 00111111 => 10011111
01111101 => 11111101 => 10111111 => 11011111
01111110 => 11111110 => 01111111 => 10111111
01111111 => 11111111 => 11111111 => 11111111
10000000 => 00000000 => 00000000 => 00000000
10000001 => 00000001 => 10000000 => 01000000
10000010 => 00000010 => 01000000 => 00100000
10000011 => 00000011 => 11000000 => 01100000
10000100 => 00000100 => 00100000 => 00010000
10000101 => 00000101 => 10100000 => 01010000
10000110 => 00000110 => 01100000 => 00110000
10000111 => 00000111 => 11100000 => 01110000
10001000 => 00001000 => 00010000 => 00001000
10001001 => 00001001 => 10010000 => 01001000
10001010 => 00001010 => 01010000 => 00101000
10001011 => 00001011 => 11010000 => 01101000
10001100 => 00001100 => 00110000 => 00011000
10001101 => 00001101 => 10110000 => 01011000
10001110 => 00001110 => 01110000 => 00111000
10001111 => 00001111 => 11110000 => 01111000
10010000 => 00010000 => 00001000 => 00000100
10010001 => 00010001 => 10001000 => 01000100
10010010 => 00010010 => 01001000 => 00100100
10010011 => 00010011 => 11001000 => 01100100
10010100 => 00010100 => 00101000 => 00010100
10010101 => 00010101 => 10101000 => 01010100
10010110 => 00010110 => 01101000 => 00110100
10010111 => 00010111 => 11101000 => 01110100
10011000 => 00011000 => 00011000 => 00001100
10011001 => 00011001 => 10011000 => 01001100
10011010 => 00011010 => 01011000 => 00101100
10011011 => 00011011 => 11011000 => 01101100
10011100 => 00011100 => 00111000 => 00011100
10011101 => 00011101 => 10111000 => 01011100
10011110 => 00011110 => 01111000 => 00111100
10011111 => 00011111 => 11111000 => 01111100
10100000 => 00100000 => 00000100 => 00000010
10100001 => 00100001 => 10000100 => 01000010
10100010 => 00100010 => 01000100 => 00100010
10100011 => 00100011 => 11000100 => 01100010
10100100 => 00100100 => 00100100 => 00010010
10100101 => 00100101 => 10100100 => 01010010
10100110 => 00100110 => 01100100 => 00110010
10100111 => 00100111 => 11100100 => 01110010
10101000 => 00101000 => 00010100 => 00001010
10101001 => 00101001 => 10010100 => 01001010
10101010 => 00101010 => 01010100 => 00101010
10101011 => 00101011 => 11010100 => 01101010
10101100 => 00101100 => 00110100 => 00011010
10101101 => 00101101 => 10110100 => 01011010
10101110 => 00101110 => 01110100 => 00111010
10101111 => 00101111 => 11110100 => 01111010
10110000 => 00110000 => 00001100 => 00000110
10110001 => 00110001 => 10001100 => 01000110
10110010 => 00110010 => 01001100 => 00100110
10110011 => 00110011 => 11001100 => 01100110
10110100 => 00110100 => 00101100 => 00010110
10110101 => 00110101 => 10101100 => 01010110
10110110 => 00110110 => 01101100 => 00110110
10110111 => 00110111 => 11101100 => 01110110
10111000 => 00111000 => 00011100 => 00001110
10111001 => 00111001 => 10011100 => 01001110
10111010 => 00111010 => 01011100 => 00101110
10111011 => 00111011 => 11011100 => 01101110
10111100 => 00111100 => 00111100 => 00011110
10111101 => 00111101 => 10111100 => 01011110
10111110 => 00111110 => 01111100 => 00111110
10111111 => 00111111 => 11111100 => 01111110
11000000 => 01000000 => 00000010 => 00000001
11000001 => 01000001 => 10000010 => 01000001
11000010 => 01000010 => 01000010 => 00100001
11000011 => 01000011 => 11000010 => 01100001
11000100 => 01000100 => 00100010 => 00010001
11000101 => 01000101 => 10100010 => 01010001
11000110 => 01000110 => 01100010 => 00110001
11000111 => 01000111 => 11100010 => 01110001
11001000 => 01001000 => 00010010 => 00001001
11001001 => 01001001 => 10010010 => 01001001
11001010 => 01001010 => 01010010 => 00101001
11001011 => 01001011 => 11010010 => 01101001
11001100 => 01001100 => 00110010 => 00011001
11001101 => 01001101 => 10110010 => 01011001
11001110 => 01001110 => 01110010 => 00111001
11001111 => 01001111 => 11110010 => 01111001
11010000 => 01010000 => 00001010 => 00000101
11010001 => 01010001 => 10001010 => 01000101
11010010 => 01010010 => 01001010 => 00100101
11010011 => 01010011 => 11001010 => 01100101
11010100 => 01010100 => 00101010 => 00010101
11010101 => 01010101 => 10101010 => 01010101
11010110 => 01010110 => 01101010 => 00110101
11010111 => 01010111 => 11101010 => 01110101
11011000 => 01011000 => 00011010 => 00001101
11011001 => 01011001 => 10011010 => 01001101
11011010 => 01011010 => 01011010 => 00101101
11011011 => 01011011 => 11011010 => 01101101
11011100 => 01011100 => 00111010 => 00011101
11011101 => 01011101 => 10111010 => 01011101
11011110 => 01011110 => 01111010 => 00111101
11011111 => 01011111 => 11111010 => 01111101
11100000 => 01100000 => 00000110 => 00000011
11100001 => 01100001 => 10000110 => 01000011
11100010 => 01100010 => 01000110 => 00100011
11100011 => 01100011 => 11000110 => 01100011
11100100 => 01100100 => 00100110 => 00010011
11100101 => 01100101 => 10100110 => 01010011
11100110 => 01100110 => 01100110 => 00110011
11100111 => 01100111 => 11100110 => 01110011
11101000 => 01101000 => 00010110 => 00001011
11101001 => 01101001 => 10010110 => 01001011
11101010 => 01101010 => 01010110 => 00101011
11101011 => 01101011 => 11010110 => 01101011
11101100 => 01101100 => 00110110 => 00011011
11101101 => 01101101 => 10110110 => 01011011
11101110 => 01101110 => 01110110 => 00111011
11101111 => 01101111 => 11110110 => 01111011
11110000 => 01110000 => 00001110 => 00000111
11110001 => 01110001 => 10001110 => 01000111
11110010 => 01110010 => 01001110 => 00100111
11110011 => 01110011 => 11001110 => 01100111
11110100 => 01110100 => 00101110 => 00010111
11110101 => 01110101 => 10101110 => 01010111
11110110 => 01110110 => 01101110 => 00110111
11110111 => 01110111 => 11101110 => 01110111
11111000 => 01111000 => 00011110 => 00001111
11111001 => 01111001 => 10011110 => 01001111
11111010 => 01111010 => 01011110 => 00101111
11111011 => 01111011 => 11011110 => 01101111
11111100 => 01111100 => 00111110 => 00011111
11111101 => 01111101 => 10111110 => 01011111
11111110 => 01111110 => 01111110 => 00111111
11111111 => 01111111 => 11111110 => 01111111
000000000 => 100000000 => 000000001 => 100000000
000000001 => 100000001 => 100000001 => 110000000
000000010 => 100000010 => 010000001 => 101000000
000000011 => 100000011 => 110000001 => 111000000
000000100 => 100000100 => 001000001 => 100100000
000000101 => 100000101 => 101000001 => 110100000
000000110 => 100000110 => 011000001 => 101100000
000000111 => 100000111 => 111000001 => 111100000
000001000 => 100001000 => 000100001 => 100010000
000001001 => 100001001 => 100100001 => 110010000
000001010 => 100001010 => 010100001 => 101010000
000001011 => 100001011 => 110100001 => 111010000
000001100 => 100001100 => 001100001 => 100110000
000001101 => 100001101 => 101100001 => 110110000
000001110 => 100001110 => 011100001 => 101110000
000001111 => 100001111 => 111100001 => 111110000
000010000 => 100010000 => 000010001 => 100001000
000010001 => 100010001 => 100010001 => 110001000
000010010 => 100010010 => 010010001 => 101001000
000010011 => 100010011 => 110010001 => 111001000
000010100 => 100010100 => 001010001 => 100101000
000010101 => 100010101 => 101010001 => 110101000
000010110 => 100010110 => 011010001 => 101101000
000010111 => 100010111 => 111010001 => 111101000
000011000 => 100011000 => 000110001 => 100011000
000011001 => 100011001 => 100110001 => 110011000
000011010 => 100011010 => 010110001 => 101011000
000011011 => 100011011 => 110110001 => 111011000
000011100 => 100011100 => 001110001 => 100111000
000011101 => 100011101 => 101110001 => 110111000
000011110 => 100011110 => 011110001 => 101111000
000011111 => 100011111 => 111110001 => 111111000
000100000 => 100100000 => 000001001 => 100000100
000100001 => 100100001 => 100001001 => 110000100
000100010 => 100100010 => 010001001 => 101000100
000100011 => 100100011 => 110001001 => 111000100
000100100 => 100100100 => 001001001 => 100100100
000100101 => 100100101 => 101001001 => 110100100
000100110 => 100100110 => 011001001 => 101100100
000100111 => 100100111 => 111001001 => 111100100
000101000 => 100101000 => 000101001 => 100010100
000101001 => 100101001 => 100101001 => 110010100
000101010 => 100101010 => 010101001 => 101010100
000101011 => 100101011 => 110101001 => 111010100
000101100 => 100101100 => 001101001 => 100110100
000101101 => 100101101 => 101101001 => 110110100
000101110 => 100101110 => 011101001 => 101110100
000101111 => 100101111 => 111101001 => 111110100
000110000 => 100110000 => 000011001 => 100001100
000110001 => 100110001 => 100011001 => 110001100
000110010 => 100110010 => 010011001 => 101001100
000110011 => 100110011 => 110011001 => 111001100
000110100 => 100110100 => 001011001 => 100101100
000110101 => 100110101 => 101011001 => 110101100
000110110 => 100110110 => 011011001 => 101101100
000110111 => 100110111 => 111011001 => 111101100
000111000 => 100111000 => 000111001 => 100011100
000111001 => 100111001 => 100111001 => 110011100
000111010 => 100111010 => 010111001 => 101011100
000111011 => 100111011 => 110111001 => 111011100
000111100 => 100111100 => 001111001 => 100111100
000111101 => 100111101 => 101111001 => 110111100
000111110 => 100111110 => 011111001 => 101111100
000111111 => 100111111 => 111111001 => 111111100
001000000 => 101000000 => 000000101 => 100000010
001000001 => 101000001 => 100000101 => 110000010
001000010 => 101000010 => 010000101 => 101000010
001000011 => 101000011 => 110000101 => 111000010
001000100 => 101000100 => 001000101 => 100100010
001000101 => 101000101 => 101000101 => 110100010
001000110 => 101000110 => 011000101 => 101100010
001000111 => 101000111 => 111000101 => 111100010
001001000 => 101001000 => 000100101 => 100010010
001001001 => 101001001 => 100100101 => 110010010
001001010 => 101001010 => 010100101 => 101010010
001001011 => 101001011 => 110100101 => 111010010
001001100 => 101001100 => 001100101 => 100110010
001001101 => 101001101 => 101100101 => 110110010
001001110 => 101001110 => 011100101 => 101110010
001001111 => 101001111 => 111100101 => 111110010
001010000 => 101010000 => 000010101 => 100001010
001010001 => 101010001 => 100010101 => 110001010
001010010 => 101010010 => 010010101 => 101001010
001010011 => 101010011 => 110010101 => 111001010
001010100 => 101010100 => 001010101 => 100101010
001010101 => 101010101 => 101010101 => 110101010
001010110 => 101010110 => 011010101 => 101101010
001010111 => 101010111 => 111010101 => 111101010
001011000 => 101011000 => 000110101 => 100011010
001011001 => 101011001 => 100110101 => 110011010
001011010 => 101011010 => 010110101 => 101011010
001011011 => 101011011 => 110110101 => 111011010
001011100 => 101011100 => 001110101 => 100111010
001011101 => 101011101 => 101110101 => 110111010
001011110 => 101011110 => 011110101 => 101111010
001011111 => 101011111 => 111110101 => 111111010
001100000 => 101100000 => 000001101 => 100000110
001100001 => 101100001 => 100001101 => 110000110
001100010 => 101100010 => 010001101 => 101000110
001100011 => 101100011 => 110001101 => 111000110
001100100 => 101100100 => 001001101 => 100100110
001100101 => 101100101 => 101001101 => 110100110
001100110 => 101100110 => 011001101 => 101100110
001100111 => 101100111 => 111001101 => 111100110
001101000 => 101101000 => 000101101 => 100010110
001101001 => 101101001 => 100101101 => 110010110
001101010 => 101101010 => 010101101 => 101010110
001101011 => 101101011 => 110101101 => 111010110
001101100 => 101101100 => 001101101 => 100110110
001101101 => 101101101 => 101101101 => 110110110
001101110 => 101101110 => 011101101 => 101110110
001101111 => 101101111 => 111101101 => 111110110
001110000 => 101110000 => 000011101 => 100001110
001110001 => 101110001 => 100011101 => 110001110
001110010 => 101110010 => 010011101 => 101001110
001110011 => 101110011 => 110011101 => 111001110
001110100 => 101110100 => 001011101 => 100101110
001110101 => 101110101 => 101011101 => 110101110
001110110 => 101110110 => 011011101 => 101101110
001110111 => 101110111 => 111011101 => 111101110
001111000 => 101111000 => 000111101 => 100011110
001111001 => 101111001 => 100111101 => 110011110
001111010 => 101111010 => 010111101 => 101011110
001111011 => 101111011 => 110111101 => 111011110
001111100 => 101111100 => 001111101 => 100111110
001111101 => 101111101 => 101111101 => 110111110
001111110 => 101111110 => 011111101 => 101111110
001111111 => 101111111 => 111111101 => 111111110
010000000 => 110000000 => 000000011 => 100000001
010000001 => 110000001 => 100000011 => 110000001
010000010 => 110000010 => 010000011 => 101000001
010000011 => 110000011 => 110000011 => 111000001
010000100 => 110000100 => 001000011 => 100100001
010000101 => 110000101 => 101000011 => 110100001
010000110 => 110000110 => 011000011 => 101100001
010000111 => 110000111 => 111000011 => 111100001
010001000 => 110001000 => 000100011 => 100010001
010001001 => 110001001 => 100100011 => 110010001
010001010 => 110001010 => 010100011 => 101010001
010001011 => 110001011 => 110100011 => 111010001
010001100 => 110001100 => 001100011 => 100110001
010001101 => 110001101 => 101100011 => 110110001
010001110 => 110001110 => 011100011 => 101110001
010001111 => 110001111 => 111100011 => 111110001
010010000 => 110010000 => 000010011 => 100001001
010010001 => 110010001 => 100010011 => 110001001
010010010 => 110010010 => 010010011 => 101001001
010010011 => 110010011 => 110010011 => 111001001
010010100 => 110010100 => 001010011 => 100101001
010010101 => 110010101 => 101010011 => 110101001
010010110 => 110010110 => 011010011 => 101101001
010010111 => 110010111 => 111010011 => 111101001
010011000 => 110011000 => 000110011 => 100011001
010011001 => 110011001 => 100110011 => 110011001
010011010 => 110011010 => 010110011 => 101011001
010011011 => 110011011 => 110110011 => 111011001
010011100 => 110011100 => 001110011 => 100111001
010011101 => 110011101 => 101110011 => 110111001
010011110 => 110011110 => 011110011 => 101111001
010011111 => 110011111 => 111110011 => 111111001
010100000 => 110100000 => 000001011 => 100000101
010100001 => 110100001 => 100001011 => 110000101
010100010 => 110100010 => 010001011 => 101000101
010100011 => 110100011 => 110001011 => 111000101
010100100 => 110100100 => 001001011 => 100100101
010100101 => 110100101 => 101001011 => 110100101
010100110 => 110100110 => 011001011 => 101100101
010100111 => 110100111 => 111001011 => 111100101
010101000 => 110101000 => 000101011 => 100010101
010101001 => 110101001 => 100101011 => 110010101
010101010 => 110101010 => 010101011 => 101010101
010101011 => 110101011 => 110101011 => 111010101
010101100 => 110101100 => 001101011 => 100110101
010101101 => 110101101 => 101101011 => 110110101
010101110 => 110101110 => 011101011 => 101110101
010101111 => 110101111 => 111101011 => 111110101
010110000 => 110110000 => 000011011 => 100001101
010110001 => 110110001 => 100011011 => 110001101
010110010 => 110110010 => 010011011 => 101001101
010110011 => 110110011 => 110011011 => 111001101
010110100 => 110110100 => 001011011 => 100101101
010110101 => 110110101 => 101011011 => 110101101
010110110 => 110110110 => 011011011 => 101101101
010110111 => 110110111 => 111011011 => 111101101
010111000 => 110111000 => 000111011 => 100011101
010111001 => 110111001 => 100111011 => 110011101
010111010 => 110111010 => 010111011 => 101011101
010111011 => 110111011 => 110111011 => 111011101
010111100 => 110111100 => 001111011 => 100111101
010111101 => 110111101 => 101111011 => 110111101
010111110 => 110111110 => 011111011 => 101111101
010111111 => 110111111 => 111111011 => 111111101
011000000 => 111000000 => 000000111 => 100000011
011000001 => 111000001 => 100000111 => 110000011
011000010 => 111000010 => 010000111 => 101000011
011000011 => 111000011 => 110000111 => 111000011
011000100 => 111000100 => 001000111 => 100100011
011000101 => 111000101 => 101000111 => 110100011
011000110 => 111000110 => 011000111 => 101100011
011000111 => 111000111 => 111000111 => 111100011
011001000 => 111001000 => 000100111 => 100010011
011001001 => 111001001 => 100100111 => 110010011
011001010 => 111001010 => 010100111 => 101010011
011001011 => 111001011 => 110100111 => 111010011
011001100 => 111001100 => 001100111 => 100110011
011001101 => 111001101 => 101100111 => 110110011
011001110 => 111001110 => 011100111 => 101110011
011001111 => 111001111 => 111100111 => 111110011
011010000 => 111010000 => 000010111 => 100001011
011010001 => 111010001 => 100010111 => 110001011
011010010 => 111010010 => 010010111 => 101001011
011010011 => 111010011 => 110010111 => 111001011
011010100 => 111010100 => 001010111 => 100101011
011010101 => 111010101 => 101010111 => 110101011
011010110 => 111010110 => 011010111 => 101101011
011010111 => 111010111 => 111010111 => 111101011
011011000 => 111011000 => 000110111 => 100011011
011011001 => 111011001 => 100110111 => 110011011
011011010 => 111011010 => 010110111 => 101011011
011011011 => 111011011 => 110110111 => 111011011
011011100 => 111011100 => 001110111 => 100111011
011011101 => 111011101 => 101110111 => 110111011
011011110 => 111011110 => 011110111 => 101111011
011011111 => 111011111 => 111110111 => 111111011
011100000 => 111100000 => 000001111 => 100000111
011100001 => 111100001 => 100001111 => 110000111
011100010 => 111100010 => 010001111 => 101000111
011100011 => 111100011 => 110001111 => 111000111
011100100 => 111100100 => 001001111 => 100100111
011100101 => 111100101 => 101001111 => 110100111
011100110 => 111100110 => 011001111 => 101100111
011100111 => 111100111 => 111001111 => 111100111
011101000 => 111101000 => 000101111 => 100010111
011101001 => 111101001 => 100101111 => 110010111
011101010 => 111101010 => 010101111 => 101010111
011101011 => 111101011 => 110101111 => 111010111
011101100 => 111101100 => 001101111 => 100110111
011101101 => 111101101 => 101101111 => 110110111
011101110 => 111101110 => 011101111 => 101110111
011101111 => 111101111 => 111101111 => 111110111
011110000 => 111110000 => 000011111 => 100001111
011110001 => 111110001 => 100011111 => 110001111
011110010 => 111110010 => 010011111 => 101001111
011110011 => 111110011 => 110011111 => 111001111
011110100 => 111110100 => 001011111 => 100101111
011110101 => 111110101 => 101011111 => 110101111
011110110 => 111110110 => 011011111 => 101101111
011110111 => 111110111 => 111011111 => 111101111
011111000 => 111111000 => 000111111 => 100011111
011111001 => 111111001 => 100111111 => 110011111
011111010 => 111111010 => 010111111 => 101011111
011111011 => 111111011 => 110111111 => 111011111
011111100 => 111111100 => 001111111 => 100111111
011111101 => 111111101 => 101111111 => 110111111
011111110 => 111111110 => 011111111 => 101111111
011111111 => 111111111 => 111111111 => 111111111
100000000 => 000000000 => 000000000 => 000000000
100000001 => 000000001 => 100000000 => 010000000
100000010 => 000000010 => 010000000 => 001000000
100000011 => 000000011 => 110000000 => 011000000
100000100 => 000000100 => 001000000 => 000100000
100000101 => 000000101 => 101000000 => 010100000
100000110 => 000000110 => 011000000 => 001100000
100000111 => 000000111 => 111000000 => 011100000
100001000 => 000001000 => 000100000 => 000010000
100001001 => 000001001 => 100100000 => 010010000
100001010 => 000001010 => 010100000 => 001010000
100001011 => 000001011 => 110100000 => 011010000
100001100 => 000001100 => 001100000 => 000110000
100001101 => 000001101 => 101100000 => 010110000
100001110 => 000001110 => 011100000 => 001110000
100001111 => 000001111 => 111100000 => 011110000
100010000 => 000010000 => 000010000 => 000001000
100010001 => 000010001 => 100010000 => 010001000
100010010 => 000010010 => 010010000 => 001001000
100010011 => 000010011 => 110010000 => 011001000
100010100 => 000010100 => 001010000 => 000101000
100010101 => 000010101 => 101010000 => 010101000
100010110 => 000010110 => 011010000 => 001101000
100010111 => 000010111 => 111010000 => 011101000
100011000 => 000011000 => 000110000 => 000011000
100011001 => 000011001 => 100110000 => 010011000
100011010 => 000011010 => 010110000 => 001011000
100011011 => 000011011 => 110110000 => 011011000
100011100 => 000011100 => 001110000 => 000111000
100011101 => 000011101 => 101110000 => 010111000
100011110 => 000011110 => 011110000 => 001111000
100011111 => 000011111 => 111110000 => 011111000
100100000 => 000100000 => 000001000 => 000000100
100100001 => 000100001 => 100001000 => 010000100
100100010 => 000100010 => 010001000 => 001000100
100100011 => 000100011 => 110001000 => 011000100
100100100 => 000100100 => 001001000 => 000100100
100100101 => 000100101 => 101001000 => 010100100
100100110 => 000100110 => 011001000 => 001100100
100100111 => 000100111 => 111001000 => 011100100
100101000 => 000101000 => 000101000 => 000010100
100101001 => 000101001 => 100101000 => 010010100
100101010 => 000101010 => 010101000 => 001010100
100101011 => 000101011 => 110101000 => 011010100
100101100 => 000101100 => 001101000 => 000110100
100101101 => 000101101 => 101101000 => 010110100
100101110 => 000101110 => 011101000 => 001110100
100101111 => 000101111 => 111101000 => 011110100
100110000 => 000110000 => 000011000 => 000001100
100110001 => 000110001 => 100011000 => 010001100
100110010 => 000110010 => 010011000 => 001001100
100110011 => 000110011 => 110011000 => 011001100
100110100 => 000110100 => 001011000 => 000101100
100110101 => 000110101 => 101011000 => 010101100
100110110 => 000110110 => 011011000 => 001101100
100110111 => 000110111 => 111011000 => 011101100
100111000 => 000111000 => 000111000 => 000011100
100111001 => 000111001 => 100111000 => 010011100
100111010 => 000111010 => 010111000 => 001011100
100111011 => 000111011 => 110111000 => 011011100
100111100 => 000111100 => 001111000 => 000111100
100111101 => 000111101 => 101111000 => 010111100
100111110 => 000111110 => 011111000 => 001111100
100111111 => 000111111 => 111111000 => 011111100
101000000 => 001000000 => 000000100 => 000000010
101000001 => 001000001 => 100000100 => 010000010
101000010 => 001000010 => 010000100 => 001000010
101000011 => 001000011 => 110000100 => 011000010
101000100 => 001000100 => 001000100 => 000100010
101000101 => 001000101 => 101000100 => 010100010
101000110 => 001000110 => 011000100 => 001100010
101000111 => 001000111 => 111000100 => 011100010
101001000 => 001001000 => 000100100 => 000010010
101001001 => 001001001 => 100100100 => 010010010
101001010 => 001001010 => 010100100 => 001010010
101001011 => 001001011 => 110100100 => 011010010
101001100 => 001001100 => 001100100 => 000110010
101001101 => 001001101 => 101100100 => 010110010
101001110 => 001001110 => 011100100 => 001110010
101001111 => 001001111 => 111100100 => 011110010
101010000 => 001010000 => 000010100 => 000001010
101010001 => 001010001 => 100010100 => 010001010
101010010 => 001010010 => 010010100 => 001001010
101010011 => 001010011 => 110010100 => 011001010
101010100 => 001010100 => 001010100 => 000101010
101010101 => 001010101 => 101010100 => 010101010
101010110 => 001010110 => 011010100 => 001101010
101010111 => 001010111 => 111010100 => 011101010
101011000 => 001011000 => 000110100 => 000011010
101011001 => 001011001 => 100110100 => 010011010
101011010 => 001011010 => 010110100 => 001011010
101011011 => 001011011 => 110110100 => 011011010
101011100 => 001011100 => 001110100 => 000111010
101011101 => 001011101 => 101110100 => 010111010
101011110 => 001011110 => 011110100 => 001111010
101011111 => 001011111 => 111110100 => 011111010
101100000 => 001100000 => 000001100 => 000000110
101100001 => 001100001 => 100001100 => 010000110
101100010 => 001100010 => 010001100 => 001000110
101100011 => 001100011 => 110001100 => 011000110
101100100 => 001100100 => 001001100 => 000100110
101100101 => 001100101 => 101001100 => 010100110
101100110 => 001100110 => 011001100 => 001100110
101100111 => 001100111 => 111001100 => 011100110
101101000 => 001101000 => 000101100 => 000010110
101101001 => 001101001 => 100101100 => 010010110
101101010 => 001101010 => 010101100 => 001010110
101101011 => 001101011 => 110101100 => 011010110
101101100 => 001101100 => 001101100 => 000110110
101101101 => 001101101 => 101101100 => 010110110
101101110 => 001101110 => 011101100 => 001110110
101101111 => 001101111 => 111101100 => 011110110
101110000 => 001110000 => 000011100 => 000001110
101110001 => 001110001 => 100011100 => 010001110
101110010 => 001110010 => 010011100 => 001001110
101110011 => 001110011 => 110011100 => 011001110
101110100 => 001110100 => 001011100 => 000101110
101110101 => 001110101 => 101011100 => 010101110
101110110 => 001110110 => 011011100 => 001101110
101110111 => 001110111 => 111011100 => 011101110
101111000 => 001111000 => 000111100 => 000011110
101111001 => 001111001 => 100111100 => 010011110
101111010 => 001111010 => 010111100 => 001011110
101111011 => 001111011 => 110111100 => 011011110
101111100 => 001111100 => 001111100 => 000111110
101111101 => 001111101 => 101111100 => 010111110
101111110 => 001111110 => 011111100 => 001111110
101111111 => 001111111 => 111111100 => 011111110
110000000 => 010000000 => 000000010 => 000000001
110000001 => 010000001 => 100000010 => 010000001
110000010 => 010000010 => 010000010 => 001000001
110000011 => 010000011 => 110000010 => 011000001
110000100 => 010000100 => 001000010 => 000100001
110000101 => 010000101 => 101000010 => 010100001
110000110 => 010000110 => 011000010 => 001100001
110000111 => 010000111 => 111000010 => 011100001
110001000 => 010001000 => 000100010 => 000010001
110001001 => 010001001 => 100100010 => 010010001
110001010 => 010001010 => 010100010 => 001010001
110001011 => 010001011 => 110100010 => 011010001
110001100 => 010001100 => 001100010 => 000110001
110001101 => 010001101 => 101100010 => 010110001
110001110 => 010001110 => 011100010 => 001110001
110001111 => 010001111 => 111100010 => 011110001
110010000 => 010010000 => 000010010 => 000001001
110010001 => 010010001 => 100010010 => 010001001
110010010 => 010010010 => 010010010 => 001001001
110010011 => 010010011 => 110010010 => 011001001
110010100 => 010010100 => 001010010 => 000101001
110010101 => 010010101 => 101010010 => 010101001
110010110 => 010010110 => 011010010 => 001101001
110010111 => 010010111 => 111010010 => 011101001
110011000 => 010011000 => 000110010 => 000011001
110011001 => 010011001 => 100110010 => 010011001
110011010 => 010011010 => 010110010 => 001011001
110011011 => 010011011 => 110110010 => 011011001
110011100 => 010011100 => 001110010 => 000111001
110011101 => 010011101 => 101110010 => 010111001
110011110 => 010011110 => 011110010 => 001111001
110011111 => 010011111 => 111110010 => 011111001
110100000 => 010100000 => 000001010 => 000000101
110100001 => 010100001 => 100001010 => 010000101
110100010 => 010100010 => 010001010 => 001000101
110100011 => 010100011 => 110001010 => 011000101
110100100 => 010100100 => 001001010 => 000100101
110100101 => 010100101 => 101001010 => 010100101
110100110 => 010100110 => 011001010 => 001100101
110100111 => 010100111 => 111001010 => 011100101
110101000 => 010101000 => 000101010 => 000010101
110101001 => 010101001 => 100101010 => 010010101
110101010 => 010101010 => 010101010 => 001010101
110101011 => 010101011 => 110101010 => 011010101
110101100 => 010101100 => 001101010 => 000110101
110101101 => 010101101 => 101101010 => 010110101
110101110 => 010101110 => 011101010 => 001110101
110101111 => 010101111 => 111101010 => 011110101
110110000 => 010110000 => 000011010 => 000001101
110110001 => 010110001 => 100011010 => 010001101
110110010 => 010110010 => 010011010 => 001001101
110110011 => 010110011 => 110011010 => 011001101
110110100 => 010110100 => 001011010 => 000101101
110110101 => 010110101 => 101011010 => 010101101
110110110 => 010110110 => 011011010 => 001101101
110110111 => 010110111 => 111011010 => 011101101
110111000 => 010111000 => 000111010 => 000011101
110111001 => 010111001 => 100111010 => 010011101
110111010 => 010111010 => 010111010 => 001011101
110111011 => 010111011 => 110111010 => 011011101
110111100 => 010111100 => 001111010 => 000111101
110111101 => 010111101 => 101111010 => 010111101
110111110 => 010111110 => 011111010 => 001111101
110111111 => 010111111 => 111111010 => 011111101
111000000 => 011000000 => 000000110 => 000000011
111000001 => 011000001 => 100000110 => 010000011
111000010 => 011000010 => 010000110 => 001000011
111000011 => 011000011 => 110000110 => 011000011
111000100 => 011000100 => 001000110 => 000100011
111000101 => 011000101 => 101000110 => 010100011
111000110 => 011000110 => 011000110 => 001100011
111000111 => 011000111 => 111000110 => 011100011
111001000 => 011001000 => 000100110 => 000010011
111001001 => 011001001 => 100100110 => 010010011
111001010 => 011001010 => 010100110 => 001010011
111001011 => 011001011 => 110100110 => 011010011
111001100 => 011001100 => 001100110 => 000110011
111001101 => 011001101 => 101100110 => 010110011
111001110 => 011001110 => 011100110 => 001110011
111001111 => 011001111 => 111100110 => 011110011
111010000 => 011010000 => 000010110 => 000001011
111010001 => 011010001 => 100010110 => 010001011
111010010 => 011010010 => 010010110 => 001001011
111010011 => 011010011 => 110010110 => 011001011
111010100 => 011010100 => 001010110 => 000101011
111010101 => 011010101 => 101010110 => 010101011
111010110 => 011010110 => 011010110 => 001101011
111010111 => 011010111 => 111010110 => 011101011
111011000 => 011011000 => 000110110 => 000011011
111011001 => 011011001 => 100110110 => 010011011
111011010 => 011011010 => 010110110 => 001011011
111011011 => 011011011 => 110110110 => 011011011
111011100 => 011011100 => 001110110 => 000111011
111011101 => 011011101 => 101110110 => 010111011
111011110 => 011011110 => 011110110 => 001111011
111011111 => 011011111 => 111110110 => 011111011
111100000 => 011100000 => 000001110 => 000000111
111100001 => 011100001 => 100001110 => 010000111
111100010 => 011100010 => 010001110 => 001000111
111100011 => 011100011 => 110001110 => 011000111
111100100 => 011100100 => 001001110 => 000100111
111100101 => 011100101 => 101001110 => 010100111
111100110 => 011100110 => 011001110 => 001100111
111100111 => 011100111 => 111001110 => 011100111
111101000 => 011101000 => 000101110 => 000010111
111101001 => 011101001 => 100101110 => 010010111
111101010 => 011101010 => 010101110 => 001010111
111101011 => 011101011 => 110101110 => 011010111
111101100 => 011101100 => 001101110 => 000110111
111101101 => 011101101 => 101101110 => 010110111
111101110 => 011101110 => 011101110 => 001110111
111101111 => 011101111 => 111101110 => 011110111
111110000 => 011110000 => 000011110 => 000001111
111110001 => 011110001 => 100011110 => 010001111
111110010 => 011110010 => 010011110 => 001001111
111110011 => 011110011 => 110011110 => 011001111
111110100 => 011110100 => 001011110 => 000101111
111110101 => 011110101 => 101011110 => 010101111
111110110 => 011110110 => 011011110 => 001101111
111110111 => 011110111 => 111011110 => 011101111
111111000 => 011111000 => 000111110 => 000011111
111111001 => 011111001 => 100111110 => 010011111
111111010 => 011111010 => 010111110 => 001011111
111111011 => 011111011 => 110111110 => 011011111
111111100 => 011111100 => 001111110 => 000111111
111111101 => 011111101 => 101111110 => 010111111
111111110 => 011111110 => 011111110 => 001111111
111111111 => 011111111 => 111111110 => 011111111
1010101010 => 0010101010 => 0101010100 => 0010101010
1010101100 => 0010101100 => 0011010100 => 0001101010
1010110010 => 0010110010 => 0100110100 => 0010011010
1010110100 => 0010110100 => 0010110100 => 0001011010
1011001010 => 0011001010 => 0101001100 => 0010100110
1011001100 => 0011001100 => 0011001100 => 0001100110
1011010010 => 0011010010 => 0100101100 => 0010010110
1011010100 => 0011010100 => 0010101100 => 0001010110
1011011000 => 0011011000 => 0001101100 => 0000110110
1011100100 => 0011100100 => 0010011100 => 0001001110
1011110000 => 0011110000 => 0000111100 => 0000011110
1100101010 => 0100101010 => 0101010010 => 0010101001
1100101100 => 0100101100 => 0011010010 => 0001101001
1100110010 => 0100110010 => 0100110010 => 0010011001
1100110100 => 0100110100 => 0010110010 => 0001011001
1100111000 => 0100111000 => 0001110010 => 0000111001
1101001010 => 0101001010 => 0101001010 => 0010100101
1101001100 => 0101001100 => 0011001010 => 0001100101
1101010010 => 0101010010 => 0100101010 => 0010010101
1101010100 => 0101010100 => 0010101010 => 0001010101
1101011000 => 0101011000 => 0001101010 => 0000110101
1101100010 => 0101100010 => 0100011010 => 0010001101
1101101000 => 0101101000 => 0001011010 => 0000101101
1110001100 => 0110001100 => 0011000110 => 0001100011
1110010010 => 0110010010 => 0100100110 => 0010010011
1110011000 => 0110011000 => 0001100110 => 0000110011
1110101000 => 0110101000 => 0001010110 => 0000101011
1111000010 => 0111000010 => 0100001110 => 0010000111
1111000100 => 0111000100 => 0010001110 => 0001000111
1111001000 => 0111001000 => 0001001110 => 0000100111
1111010000 => 0111010000 => 0000101110 => 0000010111
1111100000 => 0111100000 => 0000011110 => 0000001111
101010101010 => 001010101010 => 010101010100 => 001010101010
101010101100 => 001010101100 => 001101010100 => 000110101010
101010110010 => 001010110010 => 010011010100 => 001001101010
101010110100 => 001010110100 => 001011010100 => 000101101010
101011001010 => 001011001010 => 010100110100 => 001010011010
101011001100 => 001011001100 => 001100110100 => 000110011010
101011010010 => 001011010010 => 010010110100 => 001001011010
101011010100 => 001011010100 => 001010110100 => 000101011010
101100101010 => 001100101010 => 010101001100 => 001010100110
101100101100 => 001100101100 => 001101001100 => 000110100110
101100110010 => 001100110010 => 010011001100 => 001001100110
101100110100 => 001100110100 => 001011001100 => 000101100110
101101001010 => 001101001010 => 010100101100 => 001010010110
101101001100 => 001101001100 => 001100101100 => 000110010110
101101010010 => 001101010010 => 010010101100 => 001001010110
101101010100 => 001101010100 => 001010101100 => 000101010110
110010101010 => 010010101010 => 010101010010 => 001010101001
110010101100 => 010010101100 => 001101010010 => 000110101001
110010110010 => 010010110010 => 010011010010 => 001001101001
110010110100 => 010010110100 => 001011010010 => 000101101001
110011001010 => 010011001010 => 010100110010 => 001010011001
110011001100 => 010011001100 => 001100110010 => 000110011001
110011010010 => 010011010010 => 010010110010 => 001001011001
110011010100 => 010011010100 => 001010110010 => 000101011001
110100101010 => 010100101010 => 010101001010 => 001010100101
110100101100 => 010100101100 => 001101001010 => 000110100101
110100110010 => 010100110010 => 010011001010 => 001001100101
110100110100 => 010100110100 => 001011001010 => 000101100101
110101001010 => 010101001010 => 010100101010 => 001010010101
110101001100 => 010101001100 => 001100101010 => 000110010101
110101010010 => 010101010010 => 010010101010 => 001001010101
110101010100 => 010101010100 => 001010101010 => 000101010101
1111111111 => 0111111111 => 1111111110 => 0111111111
1111111110 => 0111111110 => 0111111110 => 0011111111
1111111101 => 0111111101 => 1011111110 => 0101111111
1111111010 => 0111111010 => 0101111110 => 0010111111
1111111001 => 0111111001 => 1001111110 => 0100111111
1111110101 => 0111110101 => 1010111110 => 0101011111
1111110010 => 0111110010 => 0100111110 => 0010011111
1111110000 => 0111110000 => 0000111110 => 0000011111
1111101000 => 0111101000 => 0001011110 => 0000101111
1111100111 => 0111100111 => 1110011110 => 0111001111
1111100100 => 0111100100 => 0010011110 => 0001001111
1111100011 => 0111100011 => 1100011110 => 0110001111
1111100010 => 0111100010 => 0100011110 => 0010001111
1111100001 => 0111100001 => 1000011110 => 0100001111
1111011000 => 0111011000 => 0001101110 => 0000110111
1111010100 => 0111010100 => 0010101110 => 0001010111
1111010011 => 0111010011 => 1100101110 => 0110010111
1111010001 => 0111010001 => 1000101110 => 0100010111
1111001110 => 0111001110 => 0111001110 => 0011100111
1111001011 => 0111001011 => 1101001110 => 0110100111
1111001001 => 0111001001 => 1001001110 => 0100100111
1111000101 => 0111000101 => 1010001110 => 0101000111
1111000011 => 0111000011 => 1100001110 => 0110000111
1111000001 => 0111000001 => 1000001110 => 0100000111
1111000000 => 0111000000 => 0000001110 => 0000000111
1110111111 => 0110111111 => 1111110110 => 0111111011
1110111100 => 0110111100 => 0011110110 => 0001111011
1110111000 => 0110111000 => 0001110110 => 0000111011
1110110100 => 0110110100 => 0010110110 => 0001011011
1110110010 => 0110110010 => 0100110110 => 0010011011
1110110001 => 0110110001 => 1000110110 => 0100011011
1110101010 => 0110101010 => 0101010110 => 0010101011
1110101001 => 0110101001 => 1001010110 => 0100101011
1110100101 => 0110100101 => 1010010110 => 0101001011
1110100001 => 0110100001 => 1000010110 => 0100001011
1110011110 => 0110011110 => 0111100110 => 0011110011
1110011100 => 0110011100 => 0011100110 => 0001110011
1110011001 => 0110011001 => 1001100110 => 0100110011
1110010110 => 0110010110 => 0110100110 => 0011010011
1110010101 => 0110010101 => 1010100110 => 0101010011
1110010011 => 0110010011 => 1100100110 => 0110010011
1110001011 => 0110001011 => 1101000110 => 0110100011
1110000111 => 0110000111 => 1110000110 => 0111000011
1110000110 => 0110000110 => 0110000110 => 0011000011
1110000011 => 0110000011 => 1100000110 => 0110000011
1110000001 => 0110000001 => 1000000110 => 0100000011
1101111101 => 0101111101 => 1011111010 => 0101111101
1101111000 => 0101111000 => 0001111010 => 0000111101
1101110010 => 0101110010 => 0100111010 => 0010011101
1101110001 => 0101110001 => 1000111010 => 0100011101
1101101100 => 0101101100 => 0011011010 => 0001101101
1101101011 => 0101101011 => 1101011010 => 0110101101
1101101001 => 0101101001 => 1001011010 => 0100101101
1101100110 => 0101100110 => 0110011010 => 0011001101
1101100101 => 0101100101 => 1010011010 => 0101001101
1101011010 => 0101011010 => 0101101010 => 0010110101
1101011001 => 0101011001 => 1001101010 => 0100110101
1101010111 => 0101010111 => 1110101010 => 0111010101
1101010101 => 0101010101 => 1010101010 => 0101010101
1101010011 => 0101010011 => 1100101010 => 0110010101
1101010001 => 0101010001 => 1000101010 => 0100010101
1101001111 => 0101001111 => 1111001010 => 0111100101
1101001110 => 0101001110 => 0111001010 => 0011100101
1101001101 => 0101001101 => 1011001010 => 0101100101
1101001011 => 0101001011 => 1101001010 => 0110100101
1101001001 => 0101001001 => 1001001010 => 0100100101
1101001000 => 0101001000 => 0001001010 => 0000100101
1101000111 => 0101000111 => 1110001010 => 0111000101
1101000110 => 0101000110 => 0110001010 => 0011000101
1101000101 => 0101000101 => 1010001010 => 0101000101
1101000011 => 0101000011 => 1100001010 => 0110000101
1100111100 => 0100111100 => 0011110010 => 0001111001
1100110110 => 0100110110 => 0110110010 => 0011011001
1100110101 => 0100110101 => 1010110010 => 0101011001
1100110011 => 0100110011 => 1100110010 => 0110011001
1100110001 => 0100110001 => 1000110010 => 0100011001
1100101110 => 0100101110 => 0111010010 => 0011101001
1100101101 => 0100101101 => 1011010010 => 0101101001
1100101011 => 0100101011 => 1101010010 => 0110101001
1100101001 => 0100101001 => 1001010010 => 0100101001
1100100110 => 0100100110 => 0110010010 => 0011001001
1100100101 => 0100100101 => 1010010010 => 0101001001
1100100011 => 0100100011 => 1100010010 => 0110001001
1100011110 => 0100011110 => 0111100010 => 0011110001
1100011101 => 0100011101 => 1011100010 => 0101110001
1100011011 => 0100011011 => 1101100010 => 0110110001
1100011001 => 0100011001 => 1001100010 => 0100110001
1100010101 => 0100010101 => 1010100010 => 0101010001
1100001111 => 0100001111 => 1111000010 => 0111100001
1100001110 => 0100001110 => 0111000010 => 0011100001
1100001101 => 0100001101 => 1011000010 => 0101100001
1100001011 => 0100001011 => 1101000010 => 0110100001
1100001000 => 0100001000 => 0001000010 => 0000100001
1100000010 => 0100000010 => 0100000010 => 0010000001
1100000000 => 0100000000 => 0000000010 => 0000000001
1011111111 => 0011111111 => 1111111100 => 0111111110
1011111101 => 0011111101 => 1011111100 => 0101111110
1011111100 => 0011111100 => 0011111100 => 0001111110
1011111000 => 0011111000 => 0001111100 => 0000111110
1011110111 => 0011110111 => 1110111100 => 0111011110
1011110100 => 0011110100 => 0010111100 => 0001011110
1011110001 => 0011110001 => 1000111100 => 0100011110
1011100011 => 0011100011 => 1100011100 => 0110001110
1011100001 => 0011100001 => 1000011100 => 0100001110
1011011100 => 0011011100 => 0011101100 => 0001110110
1011011001 => 0011011001 => 1001101100 => 0100110110
1011010111 => 0011010111 => 1110101100 => 0111010110
1011010101 => 0011010101 => 1010101100 => 0101010110
1011010011 => 0011010011 => 1100101100 => 0110010110
1011010001 => 0011010001 => 1000101100 => 0100010110
1011001101 => 0011001101 => 1011001100 => 0101100110
1011001001 => 0011001001 => 1001001100 => 0100100110
1011000111 => 0011000111 => 1110001100 => 0111000110
1011000101 => 0011000101 => 1010001100 => 0101000110
1011000011 => 0011000011 => 1100001100 => 0110000110
1011000000 => 0011000000 => 0000001100 => 0000000110
1010111001 => 0010111001 => 1001110100 => 0100111010
1010110111 => 0010110111 => 1110110100 => 0111011010
1010110101 => 0010110101 => 1010110100 => 0101011010
1010110011 => 0010110011 => 1100110100 => 0110011010
1010110001 => 0010110001 => 1000110100 => 0100011010
1010110000 => 0010110000 => 0000110100 => 0000011010
1010101111 => 0010101111 => 1111010100 => 0111101010
1010101101 => 0010101101 => 1011010100 => 0101101010
1010101011 => 0010101011 => 1101010100 => 0110101010
1010101001 => 0010101001 => 1001010100 => 0100101010
1010101000 => 0010101000 => 0001010100 => 0000101010
1010100111 => 0010100111 => 1110010100 => 0111001010
1010100110 => 0010100110 => 0110010100 => 0011001010
1010100101 => 0010100101 => 1010010100 => 0101001010
1010100100 => 0010100100 => 0010010100 => 0001001010
1010100000 => 0010100000 => 0000010100 => 0000001010
1010011101 => 0010011101 => 1011100100 => 0101110010
1010011010 => 0010011010 => 0101100100 => 0010110010
1010011001 => 0010011001 => 1001100100 => 0100110010
1010010111 => 0010010111 => 1110100100 => 0111010010
1010010110 => 0010010110 => 0110100100 => 0011010010
1010010101 => 0010010101 => 1010100100 => 0101010010
1010010100 => 0010010100 => 0010100100 => 0001010010
1010010011 => 0010010011 => 1100100100 => 0110010010
1010001110 => 0010001110 => 0111000100 => 0011100010
1010001101 => 0010001101 => 1011000100 => 0101100010
1010000111 => 0010000111 => 1110000100 => 0111000010
1010000010 => 0010000010 => 0100000100 => 0010000010
1010000000 => 0010000000 => 0000000100 => 0000000010
1001111110 => 0001111110 => 0111111000 => 0011111100
1001111100 => 0001111100 => 0011111000 => 0001111100
1001111011 => 0001111011 => 1101111000 => 0110111100
1001111001 => 0001111001 => 1001111000 => 0100111100
1001111000 => 0001111000 => 0001111000 => 0000111100
1001110110 => 0001110110 => 0110111000 => 0011011100
1001110101 => 0001110101 => 1010111000 => 0101011100
1001110100 => 0001110100 => 0010111000 => 0001011100
1001110011 => 0001110011 => 1100111000 => 0110011100
1001110001 => 0001110001 => 1000111000 => 0100011100
1001101101 => 0001101101 => 1011011000 => 0101101100
1001101100 => 0001101100 => 0011011000 => 0001101100
1001101010 => 0001101010 => 0101011000 => 0010101100
1001101001 => 0001101001 => 1001011000 => 0100101100
1001100111 => 0001100111 => 1110011000 => 0111001100
1001100110 => 0001100110 => 0110011000 => 0011001100
1001100101 => 0001100101 => 1010011000 => 0101001100
1001100011 => 0001100011 => 1100011000 => 0110001100
1001100001 => 0001100001 => 1000011000 => 0100001100
1001011111 => 0001011111 => 1111101000 => 0111110100
1001011110 => 0001011110 => 0111101000 => 0011110100
1001011101 => 0001011101 => 1011101000 => 0101110100
1001011010 => 0001011010 => 0101101000 => 0010110100
1001011001 => 0001011001 => 1001101000 => 0100110100
1001010111 => 0001010111 => 1110101000 => 0111010100
1001010110 => 0001010110 => 0110101000 => 0011010100
1001010101 => 0001010101 => 1010101000 => 0101010100
1001010100 => 0001010100 => 0010101000 => 0001010100
1001010010 => 0001010010 => 0100101000 => 0010010100
1001001110 => 0001001110 => 0111001000 => 0011100100
1001001101 => 0001001101 => 1011001000 => 0101100100
1001001011 => 0001001011 => 1101001000 => 0110100100
1001001010 => 0001001010 => 0101001000 => 0010100100
1000111111 => 0000111111 => 1111110000 => 0111111000
1000111110 => 0000111110 => 0111110000 => 0011111000
1000111101 => 0000111101 => 1011110000 => 0101111000
1000111100 => 0000111100 => 0011110000 => 0001111000
1000111010 => 0000111010 => 0101110000 => 0010111000
1000111001 => 0000111001 => 1001110000 => 0100111000
1000110111 => 0000110111 => 1110110000 => 0111011000
1000110110 => 0000110110 => 0110110000 => 0011011000
1000110101 => 0000110101 => 1010110000 => 0101011000
1000110011 => 0000110011 => 1100110000 => 0110011000
1000110001 => 0000110001 => 1000110000 => 0100011000
1000110000 => 0000110000 => 0000110000 => 0000011000
1000101111 => 0000101111 => 1111010000 => 0111101000
1000101110 => 0000101110 => 0111010000 => 0011101000
1000101101 => 0000101101 => 1011010000 => 0101101000
1000101010 => 0000101010 => 0101010000 => 0010101000
1000100111 => 0000100111 => 1110010000 => 0111001000
1000011111 => 0000011111 => 1111100000 => 0111110000
1000011110 => 0000011110 => 0111100000 => 0011110000
1000011101 => 0000011101 => 1011100000 => 0101110000
1000011011 => 0000011011 => 1101100000 => 0110110000
1000011000 => 0000011000 => 0001100000 => 0000110000
1000010101 => 0000010101 => 1010100000 => 0101010000
1000001111 => 0000001111 => 1111000000 => 0111100000
1000001101 => 0000001101 => 1011000000 => 0101100000
1000001010 => 0000001010 => 0101000000 => 0010100000
1000001001 => 0000001001 => 1001000000 => 0100100000
1000000110 => 0000000110 => 0110000000 => 0011000000
1000000101 => 0000000101 => 1010000000 => 0101000000
1000000011 => 0000000011 => 1100000000 => 0110000000
1000000010 => 0000000010 => 0100000000 => 0010000000
1000000001 => 0000000001 => 1000000000 => 0100000000
1000000000 => 0000000000 => 0000000000 => 0000000000
10000000000 => 00000000000 => 00000000000 => 00000000000
10000000010 => 00000000010 => 01000000000 => 00100000000
10000001110 => 00000001110 => 01110000000 => 00111000000
10000111110 => 00000111110 => 01111100000 => 00111110000
10001111110 => 00001111110 => 01111110000 => 00111111000
10011111110 => 00011111110 => 01111111000 => 00111111100
11111111110 => 01111111110 => 01111111110 => 00111111111
10000101110 => 00000101110 => 01110100000 => 00111010000
100000111110 => 000000111110 => 011111000000 => 001111100000
10010111110 => 00010111110 => 01111101000 => 00111110100
100001011110 => 000001011110 => 011110100000 => 001111010000
10000100010 => 00000100010 => 01000100000 => 00100010000
100010011110 => 000010011110 => 011110010000 => 001111001000
100001101110 => 000001101110 => 011101100000 => 001110110000
11000111110 => 01000111110 => 01111100010 => 00111110001
11110111110 => 01110111110 => 01111101110 => 00111110111
10001000010 => 00001000010 => 01000010000 => 00100001000
100100011110 => 000100011110 => 011110001000 => 001111000100
100010101110 => 000010101110 => 011101010000 => 001110101000
100001110110 => 000001110110 => 011011100000 => 001101110000
10001000100 => 00001000100 => 00100010000 => 00010001000
10010001010 => 00010001010 => 01010001000 => 00101000100
11000001110 => 01000001110 => 01110000010 => 00111000001
101000011110 => 001000011110 => 011110000100 => 001111000010
100100101110 => 000100101110 => 011101001000 => 001110100100
100011001110 => 000011001110 => 011100110000 => 001110011000
100010110110 => 000010110110 => 011011010000 => 001101101000
100001111010 => 000001111010 => 010111100000 => 001011110000
11000101110 => 01000101110 => 01110100010 => 00111010001
11011101110 => 01011101110 => 01110111010 => 00111011101
11111101110 => 01111101110 => 01110111110 => 00111011111
10010000000 => 00010000000 => 00000001000 => 00000000100
10010000100 => 00010000100 => 00100001000 => 00010000100
10001001000 => 00001001000 => 00010010000 => 00001001000
10010010010 => 00010010010 => 01001001000 => 00100100100
110000011110 => 010000011110 => 011110000010 => 001111000001
101000101110 => 001000101110 => 011101000100 => 001110100010
10010101010 => 00010101010 => 01010101000 => 00101010100
100101001110 => 000101001110 => 011100101000 => 001110010100
100100110110 => 000100110110 => 011011001000 => 001101100100
100011010110 => 000011010110 => 011010110000 => 001101011000
100010111010 => 000010111010 => 010111010000 => 001011101000
100001111100 => 000001111100 => 001111100000 => 000111110000
10101010110 => 00101010110 => 01101010100 => 00110101010
11010101110 => 01010101110 => 01110101010 => 00111010101
11101101110 => 01101101110 => 01110110110 => 00111011011
11000000010 => 01000000010 => 01000000010 => 00100000001
10010001000 => 00010001000 => 00010001000 => 00001000100
10100010010 => 00100010010 => 01001000100 => 00100100010
10010100010 => 00010100010 => 01000101000 => 00100010100
10010010100 => 00010010100 => 00101001000 => 00010100100
10100101010 => 00100101010 => 01010100100 => 00101010010
101001001110 => 001001001110 => 011100100100 => 001110010010
101000110110 => 001000110110 => 011011000100 => 001101100010
100110001110 => 000110001110 => 011100011000 => 001110001100
100101010110 => 000101010110 => 011010101000 => 001101010100
100100111010 => 000100111010 => 010111001000 => 001011100100
100011100110 => 000011100110 => 011001110000 => 001100111000
100011011010 => 000011011010 => 010110110000 => 001011011000
10101011010 => 00101011010 => 01011010100 => 00101101010
11010110110 => 01010110110 => 01101101010 => 00110110101
11101110110 => 01101110110 => 01101110110 => 00110111011
10111111100 => 00111111100 => 00111111100 => 00011111110
0111111111 => 1111111111 => 1111111111 => 1111111111
0111111101 => 1111111101 => 1011111111 => 1101111111
0111111001 => 1111111001 => 1001111111 => 1100111111
0111100001 => 1111100001 => 1000011111 => 1100001111
0111000001 => 1111000001 => 1000001111 => 1100000111
0110000001 => 1110000001 => 1000000111 => 1100000011
0100000001 => 1100000001 => 1000000011 => 1100000001
0000000001 => 1000000001 => 1000000001 => 1100000000
01111111111 => 11111111111 => 11111111111 => 11111111111
01111111101 => 11111111101 => 10111111111 => 11011111111
0111111011 => 1111111011 => 1101111111 => 1110111111
0111110101 => 1111110101 => 1010111111 => 1101011111
0111101001 => 1111101001 => 1001011111 => 1100101111
0111010001 => 1111010001 => 1000101111 => 1100010111
0110100001 => 1110100001 => 1000010111 => 1100001011
0101000001 => 1101000001 => 1000001011 => 1100000101
0010000001 => 1010000001 => 1000000101 => 1100000010
00000000001 => 10000000001 => 10000000001 => 11000000000
0101010101 => 1101010101 => 1010101011 => 1101010101
0101010011 => 1101010011 => 1100101011 => 1110010101
0101001101 => 1101001101 => 1011001011 => 1101100101
0101001011 => 1101001011 => 1101001011 => 1110100101
0100110101 => 1100110101 => 1010110011 => 1101011001
0100110011 => 1100110011 => 1100110011 => 1110011001
0100101101 => 1100101101 => 1011010011 => 1101101001
0100101011 => 1100101011 => 1101010011 => 1110101001
0100100111 => 1100100111 => 1110010011 => 1111001001
0100011101 => 1100011101 => 1011100011 => 1101110001
0100011011 => 1100011011 => 1101100011 => 1110110001
0100010111 => 1100010111 => 1110100011 => 1111010001
0100001111 => 1100001111 => 1111000011 => 1111100001
0011010101 => 1011010101 => 1010101101 => 1101010110
0011010011 => 1011010011 => 1100101101 => 1110010110
0011001101 => 1011001101 => 1011001101 => 1101100110
0011001011 => 1011001011 => 1101001101 => 1110100110
0011000111 => 1011000111 => 1110001101 => 1111000110
0010110101 => 1010110101 => 1010110101 => 1101011010
0010110011 => 1010110011 => 1100110101 => 1110011010
0010101101 => 1010101101 => 1011010101 => 1101101010
0010101011 => 1010101011 => 1101010101 => 1110101010
0010100111 => 1010100111 => 1110010101 => 1111001010
0010011101 => 1010011101 => 1011100101 => 1101110010
0010011011 => 1010011011 => 1101100101 => 1110110010
0010010111 => 1010010111 => 1110100101 => 1111010010
0010001111 => 1010001111 => 1111000101 => 1111100010
0001110011 => 1001110011 => 1100111001 => 1110011100
0001101101 => 1001101101 => 1011011001 => 1101101100
0001101011 => 1001101011 => 1101011001 => 1110101100
0001100111 => 1001100111 => 1110011001 => 1111001100
0001011011 => 1001011011 => 1101101001 => 1110110100
0001010111 => 1001010111 => 1110101001 => 1111010100
0001001111 => 1001001111 => 1111001001 => 1111100100
0000111101 => 1000111101 => 1011110001 => 1101111000
0000111011 => 1000111011 => 1101110001 => 1110111000
0000110111 => 1000110111 => 1110110001 => 1111011000
0000101111 => 1000101111 => 1111010001 => 1111101000
0000011111 => 1000011111 => 1111100001 => 1111110000
010101010101 => 110101010101 => 101010101011 => 110101010101
010101010011 => 110101010011 => 110010101011 => 111001010101
010101001101 => 110101001101 => 101100101011 => 110110010101
010101001011 => 110101001011 => 110100101011 => 111010010101
010100110101 => 110100110101 => 101011001011 => 110101100101
010100110011 => 110100110011 => 110011001011 => 111001100101
010100101101 => 110100101101 => 101101001011 => 110110100101
010100101011 => 110100101011 => 110101001011 => 111010100101
010011010101 => 110011010101 => 101010110011 => 110101011001
010011010011 => 110011010011 => 110010110011 => 111001011001
010011001101 => 110011001101 => 101100110011 => 110110011001
010011001011 => 110011001011 => 110100110011 => 111010011001
010011000111 => 110011000111 => 111000110011 => 111100011001
010010110101 => 110010110101 => 101011010011 => 110101101001
010010110011 => 110010110011 => 110011010011 => 111001101001
010010101101 => 110010101101 => 101101010011 => 110110101001
010010101011 => 110010101011 => 110101010011 => 111010101001
010010100111 => 110010100111 => 111001010011 => 111100101001
010010011101 => 110010011101 => 101110010011 => 110111001001
010010011011 => 110010011011 => 110110010011 => 111011001001
010010010111 => 110010010111 => 111010010011 => 111101001001
010010001111 => 110010001111 => 111100010011 => 111110001001
010001110101 => 110001110101 => 101011100011 => 110101110001
010001110011 => 110001110011 => 110011100011 => 111001110001
010001101101 => 110001101101 => 101101100011 => 110110110001
010001101011 => 110001101011 => 110101100011 => 111010110001
010001100111 => 110001100111 => 111001100011 => 111100110001
010001011101 => 110001011101 => 101110100011 => 110111010001
010001011011 => 110001011011 => 110110100011 => 111011010001
010001010111 => 110001010111 => 111010100011 => 111101010001
010001001111 => 110001001111 => 111100100011 => 111110010001
010000111011 => 110000111011 => 110111000011 => 111011100001
010000110111 => 110000110111 => 111011000011 => 111101100001
010000101111 => 110000101111 => 111101000011 => 111110100001
010000011111 => 110000011111 => 111110000011 => 111111000001
001101010101 => 101101010101 => 101010101101 => 110101010110
001101010011 => 101101010011 => 110010101101 => 111001010110
001101001101 => 101101001101 => 101100101101 => 110110010110
001101001011 => 101101001011 => 110100101101 => 111010010110
001100110101 => 101100110101 => 101011001101 => 110101100110
001100110011 => 101100110011 => 110011001101 => 111001100110
001100101101 => 101100101101 => 101101001101 => 110110100110
001100101011 => 101100101011 => 110101001101 => 111010100110
001100100111 => 101100100111 => 111001001101 => 111100100110
001100011011 => 101100011011 => 110110001101 => 111011000110
001100010111 => 101100010111 => 111010001101 => 111101000110
001100001111 => 101100001111 => 111100001101 => 111110000110
001011010101 => 101011010101 => 101010110101 => 110101011010
001011010011 => 101011010011 => 110010110101 => 111001011010
001011001101 => 101011001101 => 101100110101 => 110110011010
001011001011 => 101011001011 => 110100110101 => 111010011010
001011000111 => 101011000111 => 111000110101 => 111100011010
001010110101 => 101010110101 => 101011010101 => 110101101010
001010110011 => 101010110011 => 110011010101 => 111001101010
001010101101 => 101010101101 => 101101010101 => 110110101010
001010101011 => 101010101011 => 110101010101 => 111010101010
001010100111 => 101010100111 => 111001010101 => 111100101010
001010011011 => 101010011011 => 110110010101 => 111011001010
001010010111 => 101010010111 => 111010010101 => 111101001010
001010001111 => 101010001111 => 111100010101 => 111110001010
001001110011 => 101001110011 => 110011100101 => 111001110010
001001101011 => 101001101011 => 110101100101 => 111010110010
001001100111 => 101001100111 => 111001100101 => 111100110010
001001011011 => 101001011011 => 110110100101 => 111011010010
001001010111 => 101001010111 => 111010100101 => 111101010010
001001001111 => 101001001111 => 111100100101 => 111110010010
001000111011 => 101000111011 => 110111000101 => 111011100010
001000110111 => 101000110111 => 111011000101 => 111101100010
001000101111 => 101000101111 => 111101000101 => 111110100010
001000011111 => 101000011111 => 111110000101 => 111111000010
000111001101 => 100111001101 => 101100111001 => 110110011100
000111001011 => 100111001011 => 110100111001 => 111010011100
000111000111 => 100111000111 => 111000111001 => 111100011100
000110110011 => 100110110011 => 110011011001 => 111001101100
000110101011 => 100110101011 => 110101011001 => 111010101100
000110100111 => 100110100111 => 111001011001 => 111100101100
000110011101 => 100110011101 => 101110011001 => 110111001100
000110011011 => 100110011011 => 110110011001 => 111011001100
000110010111 => 100110010111 => 111010011001 => 111101001100
000110001111 => 100110001111 => 111100011001 => 111110001100
000101110011 => 100101110011 => 110011101001 => 111001110100
000101101011 => 100101101011 => 110101101001 => 111010110100
000101100111 => 100101100111 => 111001101001 => 111100110100
000101011011 => 100101011011 => 110110101001 => 111011010100
000101010111 => 100101010111 => 111010101001 => 111101010100
000101001111 => 100101001111 => 111100101001 => 111110010100
000100111011 => 100100111011 => 110111001001 => 111011100100
000100110111 => 100100110111 => 111011001001 => 111101100100
000100101111 => 100100101111 => 111101001001 => 111110100100
000100011111 => 100100011111 => 111110001001 => 111111000100
000011110101 => 100011110101 => 101011110001 => 110101111000
000011110011 => 100011110011 => 110011110001 => 111001111000
000011101101 => 100011101101 => 101101110001 => 110110111000
000011101011 => 100011101011 => 110101110001 => 111010111000
000011100111 => 100011100111 => 111001110001 => 111100111000
000011011101 => 100011011101 => 101110110001 => 110111011000
000011011011 => 100011011011 => 110110110001 => 111011011000
000011010111 => 100011010111 => 111010110001 => 111101011000
000011001111 => 100011001111 => 111100110001 => 111110011000
000010111011 => 100010111011 => 110111010001 => 111011101000
000010110111 => 100010110111 => 111011010001 => 111101101000
000010101111 => 100010101111 => 111101010001 => 111110101000
000010011111 => 100010011111 => 111110010001 => 111111001000
000001111011 => 100001111011 => 110111100001 => 111011110000
000001110111 => 100001110111 => 111011100001 => 111101110000
000001101111 => 100001101111 => 111101100001 => 111110110000
000001011111 => 100001011111 => 111110100001 => 111111010000
000000111111 => 100000111111 => 111111000001 => 111111100000
11010101010 => 01010101010 => 01010101010 => 00101010101
11010101000 => 01010101000 => 00010101010 => 00001010101
11010100100 => 01010100100 => 00100101010 => 00010010101
11010010100 => 01010010100 => 00101001010 => 00010100101
11001010100 => 01001010100 => 00101010010 => 00010101001
10101010100 => 00101010100 => 00101010100 => 00010101010
0000000000 => 1000000000 => 0000000001 => 1000000000
0000000110 => 1000000110 => 0110000001 => 1011000000
0000011000 => 1000011000 => 0001100001 => 1000110000
0000011110 => 1000011110 => 0111100001 => 1011110000
0000010010 => 1000010010 => 0100100001 => 1010010000
0001100000 => 1001100000 => 0000011001 => 1000001100
0001100110 => 1001100110 => 0110011001 => 1011001100
0001111000 => 1001111000 => 0001111001 => 1000111100
0001111110 => 1001111110 => 0111111001 => 1011111100
0001110010 => 1001110010 => 0100111001 => 1010011100
0001001110 => 1001001110 => 0111001001 => 1011100100
0001011010 => 1001011010 => 0101101001 => 1010110100
0110000000 => 1110000000 => 0000000111 => 1000000011
0110000110 => 1110000110 => 0110000111 => 1011000011
0110011000 => 1110011000 => 0001100111 => 1000110011
0110011110 => 1110011110 => 0111100111 => 1011110011
0110010010 => 1110010010 => 0100100111 => 1010010011
0111100000 => 1111100000 => 0000011111 => 1000001111
0111100110 => 1111100110 => 0110011111 => 1011001111
0111111000 => 1111111000 => 0001111111 => 1000111111
0111111110 => 1111111110 => 0111111111 => 1011111111
0111110010 => 1111110010 => 0100111111 => 1010011111
0111001000 => 1111001000 => 0001001111 => 1000100111
0111000010 => 1111000010 => 0100001111 => 1010000111
0111011010 => 1111011010 => 0101101111 => 1010110111
0100100110 => 1100100110 => 0110010011 => 1011001001
0100111000 => 1100111000 => 0001110011 => 1000111001
0100110010 => 1100110010 => 0100110011 => 1010011001
0100001000 => 1100001000 => 0001000011 => 1000100001
0100001110 => 1100001110 => 0111000011 => 1011100001
0100000010 => 1100000010 => 0100000011 => 1010000001
0100011010 => 1100011010 => 0101100011 => 1010110001
0101101000 => 1101101000 => 0001011011 => 1000101101
0101100010 => 1101100010 => 0100011011 => 1010001101
0101111010 => 1101111010 => 0101111011 => 1010111101
0101001010 => 1101001010 => 0101001011 => 1010100101
000000000000 => 100000000000 => 000000000001 => 100000000000
000000000110 => 100000000110 => 011000000001 => 101100000000
000000011000 => 100000011000 => 000110000001 => 100011000000
000000011110 => 100000011110 => 011110000001 => 101111000000
000001100000 => 100001100000 => 000001100001 => 100000110000
000001100110 => 100001100110 => 011001100001 => 101100110000
000001111000 => 100001111000 => 000111100001 => 100011110000
000001111110 => 100001111110 => 011111100001 => 101111110000
000110000000 => 100110000000 => 000000011001 => 100000001100
000110000110 => 100110000110 => 011000011001 => 101100001100
000110011000 => 100110011000 => 000110011001 => 100011001100
000110011110 => 100110011110 => 011110011001 => 101111001100
000111100000 => 100111100000 => 000001111001 => 100000111100
000111100110 => 100111100110 => 011001111001 => 101100111100
000111111000 => 100111111000 => 000111111001 => 100011111100
000111111110 => 100111111110 => 011111111001 => 101111111100
000111001110 => 100111001110 => 011100111001 => 101110011100
000100111110 => 100100111110 => 011111001001 => 101111100100
000101101110 => 100101101110 => 011101101001 => 101110110100
011000000000 => 111000000000 => 000000000111 => 100000000011
011000000110 => 111000000110 => 011000000111 => 101100000011
011000011000 => 111000011000 => 000110000111 => 100011000011
011000011110 => 111000011110 => 011110000111 => 101111000011
011001100000 => 111001100000 => 000001100111 => 100000110011
011001100110 => 111001100110 => 011001100111 => 101100110011
011001111000 => 111001111000 => 000111100111 => 100011110011
011001111110 => 111001111110 => 011111100111 => 101111110011
011110000000 => 111110000000 => 000000011111 => 100000001111
011110000110 => 111110000110 => 011000011111 => 101100001111
011110011000 => 111110011000 => 000110011111 => 100011001111
011110011110 => 111110011110 => 011110011111 => 101111001111
011111100000 => 111111100000 => 000001111111 => 100000111111
011111100110 => 111111100110 => 011001111111 => 101100111111
011111111000 => 111111111000 => 000111111111 => 100011111111
011111111110 => 111111111110 => 011111111111 => 101111111111
011100001110 => 111100001110 => 011100001111 => 101110000111
010010011110 => 110010011110 => 011110010011 => 101111001001
010011111000 => 110011111000 => 000111110011 => 100011111001
010011001110 => 110011001110 => 011100110011 => 101110011001
010000111110 => 110000111110 => 011111000011 => 101111100001
010001101110 => 110001101110 => 011101100011 => 101110110001
0010101010 => 1010101010 => 0101010101 => 1010101010
0010101000 => 1010101000 => 0001010101 => 1000101010
0010101100 => 1010101100 => 0011010101 => 1001101010
0010100100 => 1010100100 => 0010010101 => 1001001010
0010110100 => 1010110100 => 0010110101 => 1001011010
0010010100 => 1010010100 => 0010100101 => 1001010010
0011010100 => 1011010100 => 0010101101 => 1001010110
0101010100 => 1101010100 => 0010101011 => 1001010101
00101010101 => 10101010101 => 10101010101 => 11010101010
0010101110 => 1010101110 => 0111010101 => 1011101010
0010100000 => 1010100000 => 0000010101 => 1000001010
00101011011 => 10101011011 => 11011010101 => 11101101010
0010111100 => 1010111100 => 0011110101 => 1001111010
0010000100 => 1010000100 => 0010000101 => 1001000010
00101101011 => 10101101011 => 11010110101 => 11101011010
0011110100 => 1011110100 => 0010111101 => 1001011110
00110101011 => 10110101011 => 11010101101 => 11101010110
01010101011 => 11010101011 => 11010101011 => 11101010101
0000000010 => 1000000010 => 0100000001 => 1010000000
0000001110 => 1000001110 => 0111000001 => 1011100000
0000111110 => 1000111110 => 0111110001 => 1011111000
0011111110 => 1011111110 => 0111111101 => 1011111110
00000000000 => 10000000000 => 00000000001 => 10000000000
00000000010 => 10000000010 => 01000000001 => 10100000000
0000000100 => 1000000100 => 0010000001 => 1001000000
0000001010 => 1000001010 => 0101000001 => 1010100000
00000001110 => 10000001110 => 01110000001 => 10111000000
0000010110 => 1000010110 => 0110100001 => 1011010000
0000101110 => 1000101110 => 0111010001 => 1011101000
00000111110 => 10000111110 => 01111100001 => 10111110000
0001011110 => 1001011110 => 0111101001 => 1011110100
00011111110 => 10011111110 => 01111111001 => 10111111100
0101111110 => 1101111110 => 0111111011 => 1011111101
01111111110 => 11111111110 => 01111111111 => 10111111111
0010110010 => 1010110010 => 0100110101 => 1010011010
0011001010 => 1011001010 => 0101001101 => 1010100110
0011001100 => 1011001100 => 0011001101 => 1001100110
0011010010 => 1011010010 => 0100101101 => 1010010110
0011100100 => 1011100100 => 0010011101 => 1001001110
0011110000 => 1011110000 => 0000111101 => 1000011110
0100101010 => 1100101010 => 0101010011 => 1010101001
0100101100 => 1100101100 => 0011010011 => 1001101001
0100110100 => 1100110100 => 0010110011 => 1001011001
0101001100 => 1101001100 => 0011001011 => 1001100101
0101010010 => 1101010010 => 0100101011 => 1010010101
0101011000 => 1101011000 => 0001101011 => 1000110101
0110101000 => 1110101000 => 0001010111 => 1000101011
0111010000 => 1111010000 => 0000101111 => 1000010111
001010101010 => 101010101010 => 010101010101 => 101010101010
001010101100 => 101010101100 => 001101010101 => 100110101010
001010110010 => 101010110010 => 010011010101 => 101001101010
001010110100 => 101010110100 => 001011010101 => 100101101010
001010111000 => 101010111000 => 000111010101 => 100011101010
001011001010 => 101011001010 => 010100110101 => 101010011010
001011001100 => 101011001100 => 001100110101 => 100110011010
001011010010 => 101011010010 => 010010110101 => 101001011010
001011010100 => 101011010100 => 001010110101 => 100101011010
001011011000 => 101011011000 => 000110110101 => 100011011010
001011100010 => 101011100010 => 010001110101 => 101000111010
001011100100 => 101011100100 => 001001110101 => 100100111010
001011101000 => 101011101000 => 000101110101 => 100010111010
001011110000 => 101011110000 => 000011110101 => 100001111010
001100101010 => 101100101010 => 010101001101 => 101010100110
001100101100 => 101100101100 => 001101001101 => 100110100110
001100110010 => 101100110010 => 010011001101 => 101001100110
001100110100 => 101100110100 => 001011001101 => 100101100110
001100111000 => 101100111000 => 000111001101 => 100011100110
001101001010 => 101101001010 => 010100101101 => 101010010110
001101001100 => 101101001100 => 001100101101 => 100110010110
001101010010 => 101101010010 => 010010101101 => 101001010110
001101010100 => 101101010100 => 001010101101 => 100101010110
001101011000 => 101101011000 => 000110101101 => 100011010110
001101100010 => 101101100010 => 010001101101 => 101000110110
001101100100 => 101101100100 => 001001101101 => 100100110110
001101101000 => 101101101000 => 000101101101 => 100010110110
001101110000 => 101101110000 => 000011101101 => 100001110110
001110001010 => 101110001010 => 010100011101 => 101010001110
001110001100 => 101110001100 => 001100011101 => 100110001110
001110010010 => 101110010010 => 010010011101 => 101001001110
001110010100 => 101110010100 => 001010011101 => 100101001110
001110011000 => 101110011000 => 000110011101 => 100011001110
001110100010 => 101110100010 => 010001011101 => 101000101110
001110100100 => 101110100100 => 001001011101 => 100100101110
001110101000 => 101110101000 => 000101011101 => 100010101110
001110110000 => 101110110000 => 000011011101 => 100001101110
001111000010 => 101111000010 => 010000111101 => 101000011110
001111000100 => 101111000100 => 001000111101 => 100100011110
001111001000 => 101111001000 => 000100111101 => 100010011110
001111010000 => 101111010000 => 000010111101 => 100001011110
001111100000 => 101111100000 => 000001111101 => 100000111110
010010101010 => 110010101010 => 010101010011 => 101010101001
010010101100 => 110010101100 => 001101010011 => 100110101001
010010110010 => 110010110010 => 010011010011 => 101001101001
010010110100 => 110010110100 => 001011010011 => 100101101001
010010111000 => 110010111000 => 000111010011 => 100011101001
010011001010 => 110011001010 => 010100110011 => 101010011001
010011001100 => 110011001100 => 001100110011 => 100110011001
010011010010 => 110011010010 => 010010110011 => 101001011001
010011010100 => 110011010100 => 001010110011 => 100101011001
010011011000 => 110011011000 => 000110110011 => 100011011001
010011100010 => 110011100010 => 010001110011 => 101000111001
010011100100 => 110011100100 => 001001110011 => 100100111001
010011101000 => 110011101000 => 000101110011 => 100010111001
010011110000 => 110011110000 => 000011110011 => 100001111001
010100101010 => 110100101010 => 010101001011 => 101010100101
010100101100 => 110100101100 => 001101001011 => 100110100101
010100110010 => 110100110010 => 010011001011 => 101001100101
010100110100 => 110100110100 => 001011001011 => 100101100101
010100111000 => 110100111000 => 000111001011 => 100011100101
010101001010 => 110101001010 => 010100101011 => 101010010101
010101001100 => 110101001100 => 001100101011 => 100110010101
010101010010 => 110101010010 => 010010101011 => 101001010101
010101010100 => 110101010100 => 001010101011 => 100101010101
010101011000 => 110101011000 => 000110101011 => 100011010101
010101100010 => 110101100010 => 010001101011 => 101000110101
010101100100 => 110101100100 => 001001101011 => 100100110101
010101101000 => 110101101000 => 000101101011 => 100010110101
010101110000 => 110101110000 => 000011101011 => 100001110101
010110001010 => 110110001010 => 010100011011 => 101010001101
010110001100 => 110110001100 => 001100011011 => 100110001101
010110010010 => 110110010010 => 010010011011 => 101001001101
010110010100 => 110110010100 => 001010011011 => 100101001101
010110011000 => 110110011000 => 000110011011 => 100011001101
010110100010 => 110110100010 => 010001011011 => 101000101101
010110100100 => 110110100100 => 001001011011 => 100100101101
010110101000 => 110110101000 => 000101011011 => 100010101101
010110110000 => 110110110000 => 000011011011 => 100001101101
010111000010 => 110111000010 => 010000111011 => 101000011101
010111000100 => 110111000100 => 001000111011 => 100100011101
010111001000 => 110111001000 => 000100111011 => 100010011101
010111010000 => 110111010000 => 000010111011 => 100001011101
010111100000 => 110111100000 => 000001111011 => 100000111101
011000101010 => 111000101010 => 010101000111 => 101010100011
011000101100 => 111000101100 => 001101000111 => 100110100011
011000110010 => 111000110010 => 010011000111 => 101001100011
011000110100 => 111000110100 => 001011000111 => 100101100011
011000111000 => 111000111000 => 000111000111 => 100011100011
011001001010 => 111001001010 => 010100100111 => 101010010011
011001001100 => 111001001100 => 001100100111 => 100110010011
011001010010 => 111001010010 => 010010100111 => 101001010011
011001010100 => 111001010100 => 001010100111 => 100101010011
011001011000 => 111001011000 => 000110100111 => 100011010011
011001100010 => 111001100010 => 010001100111 => 101000110011
011001100100 => 111001100100 => 001001100111 => 100100110011
011001101000 => 111001101000 => 000101100111 => 100010110011
011001110000 => 111001110000 => 000011100111 => 100001110011
011010001010 => 111010001010 => 010100010111 => 101010001011
011010001100 => 111010001100 => 001100010111 => 100110001011
011010010010 => 111010010010 => 010010010111 => 101001001011
011010010100 => 111010010100 => 001010010111 => 100101001011
011010011000 => 111010011000 => 000110010111 => 100011001011
011010100010 => 111010100010 => 010001010111 => 101000101011
011010100100 => 111010100100 => 001001010111 => 100100101011
011010101000 => 111010101000 => 000101010111 => 100010101011
011010110000 => 111010110000 => 000011010111 => 100001101011
011011000010 => 111011000010 => 010000110111 => 101000011011
011011000100 => 111011000100 => 001000110111 => 100100011011
011011001000 => 111011001000 => 000100110111 => 100010011011
011011010000 => 111011010000 => 000010110111 => 100001011011
011011100000 => 111011100000 => 000001110111 => 100000111011
011100001010 => 111100001010 => 010100001111 => 101010000111
011100001100 => 111100001100 => 001100001111 => 100110000111
011100010010 => 111100010010 => 010010001111 => 101001000111
011100010100 => 111100010100 => 001010001111 => 100101000111
011100011000 => 111100011000 => 000110001111 => 100011000111
011100100010 => 111100100010 => 010001001111 => 101000100111
011100100100 => 111100100100 => 001001001111 => 100100100111
011100101000 => 111100101000 => 000101001111 => 100010100111
011100110000 => 111100110000 => 000011001111 => 100001100111
011101000010 => 111101000010 => 010000101111 => 101000010111
011101000100 => 111101000100 => 001000101111 => 100100010111
011101001000 => 111101001000 => 000100101111 => 100010010111
011101010000 => 111101010000 => 000010101111 => 100001010111
011101100000 => 111101100000 => 000001101111 => 100000110111
011110000010 => 111110000010 => 010000011111 => 101000001111
011110000100 => 111110000100 => 001000011111 => 100100001111
011110001000 => 111110001000 => 000100011111 => 100010001111
011110010000 => 111110010000 => 000010011111 => 100001001111
011110100000 => 111110100000 => 000001011111 => 100000101111
011111000000 => 111111000000 => 000000111111 => 100000011111
10101010101 => 00101010101 => 10101010100 => 01010101010
10101010010 => 00101010010 => 01001010100 => 00100101010
10101001001 => 00101001001 => 10010010100 => 01001001010
10101001010 => 00101001010 => 01010010100 => 00101001010
10101000100 => 00101000100 => 00100010100 => 00010001010
10100100101 => 00100100101 => 10100100100 => 01010010010
10100100010 => 00100100010 => 01000100100 => 00100010010
10100101001 => 00100101001 => 10010100100 => 01001010010
10100100100 => 00100100100 => 00100100100 => 00010010010
10100010001 => 00100010001 => 10001000100 => 01000100010
10100010100 => 00100010100 => 00101000100 => 00010100010
10100001000 => 00100001000 => 00010000100 => 00001000010
10010001001 => 00010001001 => 10010001000 => 01001000100
10010100100 => 00010100100 => 00100101000 => 00010010100
10010010001 => 00010010001 => 10001001000 => 01000100100
01000100010 => 11000100010 => 01000100011 => 10100010001
01000001000 => 11000001000 => 00010000011 => 10001000001
01010101010 => 11010101010 => 01010101011 => 10101010101
01010100100 => 11010100100 => 00100101011 => 10010010101
01010010100 => 11010010100 => 00101001011 => 10010100101
01010001000 => 11010001000 => 00010001011 => 10001000101
01001010100 => 11001010100 => 00101010011 => 10010101001
00100010010 => 10100010010 => 01001000101 => 10100100010
00100100101 => 10100100101 => 10100100101 => 11010010010
00100100010 => 10100100010 => 01000100101 => 10100010010
00100101001 => 10100101001 => 10010100101 => 11001010010
00100101010 => 10100101010 => 01010100101 => 10101010010
00100100100 => 10100100100 => 00100100101 => 10010010010
00100010001 => 10100010001 => 10001000101 => 11000100010
00100010100 => 10100010100 => 00101000101 => 10010100010
00100001000 => 10100001000 => 00010000101 => 10001000010
00101001001 => 10101001001 => 10010010101 => 11001001010
00101001010 => 10101001010 => 01010010101 => 10101001010
00101000100 => 10101000100 => 00100010101 => 10010001010
00101010001 => 10101010001 => 10001010101 => 11000101010
00101010010 => 10101010010 => 01001010101 => 10100101010
00101010100 => 10101010100 => 00101010101 => 10010101010
00101001000 => 10101001000 => 00010010101 => 10001001010
00100101000 => 10100101000 => 00010100101 => 10001010010
00010001001 => 10010001001 => 10010001001 => 11001000100
00010001010 => 10010001010 => 01010001001 => 10101000100
00010000100 => 10010000100 => 00100001001 => 10010000100
00010010001 => 10010010001 => 10001001001 => 11000100100
00010010010 => 10010010010 => 01001001001 => 10100100100
00010010100 => 10010010100 => 00101001001 => 10010100100
00010001000 => 10010001000 => 00010001001 => 10001000100
00010100010 => 10010100010 => 01000101001 => 10100010100
00010100100 => 10010100100 => 00100101001 => 10010010100
00010101000 => 10010101000 => 00010101001 => 10001010100
00001000010 => 10001000010 => 01000010001 => 10100001000
00001000100 => 10001000100 => 00100010001 => 10010001000
00001001000 => 10001001000 => 00010010001 => 10001001000
0100000000 => 1100000000 => 0000000011 => 1000000001
0100000011 => 1100000011 => 1100000011 => 1110000001
0100000111 => 1100000111 => 1110000011 => 1111000001
0100011111 => 1100011111 => 1111100011 => 1111110001
0100111111 => 1100111111 => 1111110011 => 1111111001
0101111111 => 1101111111 => 1111111011 => 1111111101
01000000000 => 11000000000 => 00000000011 => 10000000001
01000000011 => 11000000011 => 11000000011 => 11100000001
0100001011 => 1100001011 => 1101000011 => 1110100001
01000001111 => 11000001111 => 11110000011 => 11111000001
01000111111 => 11000111111 => 11111100011 => 11111110001
0101011111 => 1101011111 => 1111101011 => 1111110101
0101010110 => 1101010110 => 0110101011 => 1011010101
0101011001 => 1101011001 => 1001101011 => 1100110101
0101011010 => 1101011010 => 0101101011 => 1010110101
0101100101 => 1101100101 => 1010011011 => 1101001101
0101100110 => 1101100110 => 0110011011 => 1011001101
0101101001 => 1101101001 => 1001011011 => 1100101101
0101101010 => 1101101010 => 0101011011 => 1010101101
0101110001 => 1101110001 => 1000111011 => 1100011101
0101110010 => 1101110010 => 0100111011 => 1010011101
0110010101 => 1110010101 => 1010100111 => 1101010011
0110010110 => 1110010110 => 0110100111 => 1011010011
0110011001 => 1110011001 => 1001100111 => 1100110011
0110011010 => 1110011010 => 0101100111 => 1010110011
0110011100 => 1110011100 => 0011100111 => 1001110011
0110100101 => 1110100101 => 1010010111 => 1101001011
0110100110 => 1110100110 => 0110010111 => 1011001011
0110101001 => 1110101001 => 1001010111 => 1100101011
0110101010 => 1110101010 => 0101010111 => 1010101011
0110101100 => 1110101100 => 0011010111 => 1001101011
0110110001 => 1110110001 => 1000110111 => 1100011011
0110110010 => 1110110010 => 0100110111 => 1010011011
0110110100 => 1110110100 => 0010110111 => 1001011011
0110111000 => 1110111000 => 0001110111 => 1000111011
0111000101 => 1111000101 => 1010001111 => 1101000111
0111001001 => 1111001001 => 1001001111 => 1100100111
0111001010 => 1111001010 => 0101001111 => 1010100111
0111001100 => 1111001100 => 0011001111 => 1001100111
0111010010 => 1111010010 => 0100101111 => 1010010111
0111011000 => 1111011000 => 0001101111 => 1000110111
0111100010 => 1111100010 => 0100011111 => 1010001111
0111100100 => 1111100100 => 0010011111 => 1001001111
0111101000 => 1111101000 => 0001011111 => 1000101111
0111110000 => 1111110000 => 0000111111 => 1000011111
010101011001 => 110101011001 => 100110101011 => 110011010101
010101100101 => 110101100101 => 101001101011 => 110100110101
010101101001 => 110101101001 => 100101101011 => 110010110101
010101110001 => 110101110001 => 100011101011 => 110001110101
010110010101 => 110110010101 => 101010011011 => 110101001101
010110011001 => 110110011001 => 100110011011 => 110011001101
010110100101 => 110110100101 => 101001011011 => 110100101101
010110101001 => 110110101001 => 100101011011 => 110010101101
010110110001 => 110110110001 => 100011011011 => 110001101101
010111000101 => 110111000101 => 101000111011 => 110100011101
010111001001 => 110111001001 => 100100111011 => 110010011101
010111010001 => 110111010001 => 100010111011 => 110001011101
010111100001 => 110111100001 => 100001111011 => 110000111101
011001010101 => 111001010101 => 101010100111 => 110101010011
011001011001 => 111001011001 => 100110100111 => 110011010011
011001100101 => 111001100101 => 101001100111 => 110100110011
011001101001 => 111001101001 => 100101100111 => 110010110011
011001101100 => 111001101100 => 001101100111 => 100110110011
011001110001 => 111001110001 => 100011100111 => 110001110011
011010010101 => 111010010101 => 101010010111 => 110101001011
011010010110 => 111010010110 => 011010010111 => 101101001011
011010011001 => 111010011001 => 100110010111 => 110011001011
011010100101 => 111010100101 => 101001010111 => 110100101011
011010101001 => 111010101001 => 100101010111 => 110010101011
011010110001 => 111010110001 => 100011010111 => 110001101011
011010110100 => 111010110100 => 001011010111 => 100101101011
011011000101 => 111011000101 => 101000110111 => 110100011011
011011000110 => 111011000110 => 011000110111 => 101100011011
011011001001 => 111011001001 => 100100110111 => 110010011011
011011001100 => 111011001100 => 001100110111 => 100110011011
011011010001 => 111011010001 => 100010110111 => 110001011011
011011011000 => 111011011000 => 000110110111 => 100011011011
011011100001 => 111011100001 => 100001110111 => 110000111011
011011100100 => 111011100100 => 001001110111 => 100100111011
011011110000 => 111011110000 => 000011110111 => 100001111011
011100010101 => 111100010101 => 101010001111 => 110101000111
011100011001 => 111100011001 => 100110001111 => 110011000111
011100100101 => 111100100101 => 101001001111 => 110100100111
011100101001 => 111100101001 => 100101001111 => 110010100111
011100110001 => 111100110001 => 100011001111 => 110001100111
011101000101 => 111101000101 => 101000101111 => 110100010111
011101001001 => 111101001001 => 100100101111 => 110010010111
011101010001 => 111101010001 => 100010101111 => 110001010111
011101100001 => 111101100001 => 100001101111 => 110000110111
011110000101 => 111110000101 => 101000011111 => 110100001111
011110001001 => 111110001001 => 100100011111 => 110010001111
011110001100 => 111110001100 => 001100011111 => 100110001111
011110010001 => 111110010001 => 100010011111 => 110001001111
011110100001 => 111110100001 => 100001011111 => 110000101111
011110100100 => 111110100100 => 001001011111 => 100100101111
011110110000 => 111110110000 => 000011011111 => 100001101111
011111000001 => 111111000001 => 100000111111 => 110000011111
0011101010 => 1011101010 => 0101011101 => 1010101110
0011101100 => 1011101100 => 0011011101 => 1001101110
0001101110 => 1001101110 => 0111011001 => 1011101100
0010110110 => 1010110110 => 0110110101 => 1011011010
0001110110 => 1001110110 => 0110111001 => 1011011100
0100111010 => 1100111010 => 0101110011 => 1010111001
0010111010 => 1010111010 => 0101110101 => 1010111010
0011111000 => 1011111000 => 0001111101 => 1000111110
0001111010 => 1001111010 => 0101111001 => 1010111100
0100111100 => 1100111100 => 0011110011 => 1001111001
0001111100 => 1001111100 => 0011111001 => 1001111100
001111000110 => 101111000110 => 011000111101 => 101100011110
100111001100 => 000111001100 => 001100111000 => 000110011100
001111001100 => 101111001100 => 001100111101 => 100110011110
001011010110 => 101011010110 => 011010110101 => 101101011010
100111010100 => 000111010100 => 001010111000 => 000101011100
001111011000 => 101111011000 => 000110111101 => 100011011110
100011011100 => 000011011100 => 001110110000 => 000111011000
001011011100 => 101011011100 => 001110110101 => 100111011010
000011011110 => 100011011110 => 011110110001 => 101111011000
001101100110 => 101101100110 => 011001101101 => 101100110110
100101101100 => 000101101100 => 001101101000 => 000110110100
001101101100 => 101101101100 => 001101101101 => 100110110110
001111100100 => 101111100100 => 001001111101 => 100100111110
100011101100 => 000011101100 => 001101110000 => 000110111000
000111101100 => 100111101100 => 001101111001 => 100110111100
000011101110 => 100011101110 => 011101110001 => 101110111000
101001110100 => 001001110100 => 001011100100 => 000101110010
001001110110 => 101001110110 => 011011100101 => 101101110010
100101110100 => 000101110100 => 001011101000 => 000101110100
001111110000 => 101111110000 => 000011111101 => 100001111110
100011110100 => 000011110100 => 001011110000 => 000101111000
001011110100 => 101011110100 => 001011110101 => 100101111010
000011110110 => 100011110110 => 011011110001 => 101101111000
001101111000 => 101101111000 => 000111101101 => 100011110110
001011111000 => 101011111000 => 000111110101 => 100011111010
010001111100 => 110001111100 => 001111100011 => 100111110001
001001111100 => 101001111100 => 001111100101 => 100111110010
000101111100 => 100101111100 => 001111101001 => 100111110100
000011111100 => 100011111100 => 001111110001 => 100111111000
0000000101 => 1000000101 => 1010000001 => 1101000000
0000001101 => 1000001101 => 1011000001 => 1101100000
0000011101 => 1000011101 => 1011100001 => 1101110000
0011111101 => 1011111101 => 1011111101 => 1101111110
0101111101 => 1101111101 => 1011111011 => 1101111101
00111111101 => 10111111101 => 10111111101 => 11011111110
11111111101 => 01111111101 => 10111111110 => 01011111111
0111000011 => 1111000011 => 1100001111 => 1110000111
0011110001 => 1011110001 => 1000111101 => 1100011110
011101000011 => 111101000011 => 110000101111 => 111000010111
011100000111 => 111100000111 => 111000001111 => 111100000111
001111000011 => 101111000011 => 110000111101 => 111000011110
011110000011 => 111110000011 => 110000011111 => 111000001111
001111100001 => 101111100001 => 100001111101 => 110000111110
01111111011 => 11111111011 => 11011111111 => 11101111111
01111110101 => 11111110101 => 10101111111 => 11010111111
0011110111 => 1011110111 => 1110111101 => 1111011110
01111101001 => 11111101001 => 10010111111 => 11001011111
01111010001 => 11111010001 => 10001011111 => 11000101111
0011011001 => 1011011001 => 1001101101 => 1100110110
01110100001 => 11110100001 => 10000101111 => 11000010111
0010110001 => 1010110001 => 1000110101 => 1100011010
01101000001 => 11101000001 => 10000010111 => 11000001011
0001100001 => 1001100001 => 1000011001 => 1100001100
01010000001 => 11010000001 => 10000001011 => 11000000101
0001000001 => 1001000001 => 1000001001 => 1100000100
00100000001 => 10100000001 => 10000000101 => 11000000010
0111010101 => 1111010101 => 1010101111 => 1101010111
0000111111 => 1000111111 => 1111110001 => 1111111000
110101010101 => 010101010101 => 101010101010 => 010101010101
110101010011 => 010101010011 => 110010101010 => 011001010101
110101001101 => 010101001101 => 101100101010 => 010110010101
110101011001 => 010101011001 => 100110101010 => 010011010101
110101000111 => 010101000111 => 111000101010 => 011100010101
110100110101 => 010100110101 => 101011001010 => 010101100101
110101100101 => 010101100101 => 101001101010 => 010100110101
110101101001 => 010101101001 => 100101101010 => 010010110101
110100011101 => 010100011101 => 101110001010 => 010111000101
110101110001 => 010101110001 => 100011101010 => 010001110101
110100001111 => 010100001111 => 111100001010 => 011110000101
110011010101 => 010011010101 => 101010110010 => 010101011001
110011010011 => 010011010011 => 110010110010 => 011001011001
110011001101 => 010011001101 => 101100110010 => 010110011001
110011000111 => 010011000111 => 111000110010 => 011100011001
110110010101 => 010110010101 => 101010011010 => 010101001101
110110100101 => 010110100101 => 101001011010 => 010100101101
110110101001 => 010110101001 => 100101011010 => 010010101101
110110100011 => 010110100011 => 110001011010 => 011000101101
110110011001 => 010110011001 => 100110011010 => 010011001101
110110110001 => 010110110001 => 100011011010 => 010001101101
110110000111 => 010110000111 => 111000011010 => 011100001101
110001110101 => 010001110101 => 101011100010 => 010101110001
110001110011 => 010001110011 => 110011100010 => 011001110001
110011100011 => 010011100011 => 110001110010 => 011000111001
110111000101 => 010111000101 => 101000111010 => 010100011101
110111001001 => 010111001001 => 100100111010 => 010010011101
110111010001 => 010111010001 => 100010111010 => 010001011101
110000111101 => 010000111101 => 101111000010 => 010111100001
110111100001 => 010111100001 => 100001111010 => 010000111101
110000011111 => 010000011111 => 111110000010 => 011111000001
011101101001 => 111101101001 => 100101101111 => 110010110111
111001010101 => 011001010101 => 101010100110 => 010101010011
111001011001 => 011001011001 => 100110100110 => 010011010011
111010010101 => 011010010101 => 101010010110 => 010101001011
111010010011 => 011010010011 => 110010010110 => 011001001011
111010100101 => 011010100101 => 101001010110 => 010100101011
111010101001 => 011010101001 => 100101010110 => 010010101011
111010011001 => 011010011001 => 100110010110 => 010011001011
111010110001 => 011010110001 => 100011010110 => 010001101011
111010000111 => 011010000111 => 111000010110 => 011100001011
111000110011 => 011000110011 => 110011000110 => 011001100011
111001100101 => 011001100101 => 101001100110 => 010100110011
111001101001 => 011001101001 => 100101100110 => 010010110011
111011000101 => 011011000101 => 101000110110 => 010100011011
111011001001 => 011011001001 => 100100110110 => 010010011011
111011010001 => 011011010001 => 100010110110 => 010001011011
111011000011 => 011011000011 => 110000110110 => 011000011011
111001110001 => 011001110001 => 100011100110 => 010001110011
111011100001 => 011011100001 => 100001110110 => 010000111011
111000001111 => 011000001111 => 111100000110 => 011110000011
001111010011 => 101111010011 => 110010111101 => 111001011110
001111001101 => 101111001101 => 101100111101 => 110110011110
001111011001 => 101111011001 => 100110111101 => 110011011110
001111000111 => 101111000111 => 111000111101 => 111100011110
011110100101 => 111110100101 => 101001011111 => 110100101111
011110001101 => 111110001101 => 101100011111 => 110110001111
011110011001 => 111110011001 => 100110011111 => 110011001111
011110110001 => 111110110001 => 100011011111 => 110001101111
011110000111 => 111110000111 => 111000011111 => 111100001111
111100010011 => 011100010011 => 110010001110 => 011001000111
111100101001 => 011100101001 => 100101001110 => 010010100111
111100100011 => 011100100011 => 110001001110 => 011000100111
111101000101 => 011101000101 => 101000101110 => 010100010111
111101001001 => 011101001001 => 100100101110 => 010010010111
111101010001 => 011101010001 => 100010101110 => 010001010111
111100011001 => 011100011001 => 100110001110 => 010011000111
111100110001 => 011100110001 => 100011001110 => 010001100111
111101100001 => 011101100001 => 100001101110 => 010000110111
111100000111 => 011100000111 => 111000001110 => 011100000111
000111110101 => 100111110101 => 101011111001 => 110101111100
001111100101 => 101111100101 => 101001111101 => 110100111110
111110000101 => 011110000101 => 101000011110 => 010100001111
111110001001 => 011110001001 => 100100011110 => 010010001111
111110010001 => 011110010001 => 100010011110 => 010001001111
111110100001 => 011110100001 => 100001011110 => 010000101111
111110000011 => 011110000011 => 110000011110 => 011000001111
000011111101 => 100011111101 => 101111110001 => 110111111000
000111111001 => 100111111001 => 100111111001 => 110011111100
001111110001 => 101111110001 => 100011111101 => 110001111110
011111100001 => 111111100001 => 100001111111 => 110000111111
111111000001 => 011111000001 => 100000111110 => 010000011111
000001111111 => 100001111111 => 111111100001 => 111111110000
11110000010 => 01110000010 => 01000001110 => 00100000111
11111100010 => 01111100010 => 01000111110 => 00100011111
0001110100 => 1001110100 => 0010111001 => 1001011100
0001101100 => 1001101100 => 0011011001 => 1001101100
0010011100 => 1010011100 => 0011100101 => 1001110010
0000111100 => 1000111100 => 0011110001 => 1001111000
0001101010 => 1001101010 => 0101011001 => 1010101100
0010011010 => 1010011010 => 0101100101 => 1010110010
0000111010 => 1000111010 => 0101110001 => 1010111000
0101000110 => 1101000110 => 0110001011 => 1011000101
0011000110 => 1011000110 => 0110001101 => 1011000110
0010100110 => 1010100110 => 0110010101 => 1011001010
0100010110 => 1100010110 => 0110100011 => 1011010001
0010010110 => 1010010110 => 0110100101 => 1011010010
0001010110 => 1001010110 => 0110101001 => 1011010100
0000110110 => 1000110110 => 0110110001 => 1011011000
0010001110 => 1010001110 => 0111000101 => 1011100010
000111010100 => 100111010100 => 001010111001 => 100101011100
000110110100 => 100110110100 => 001011011001 => 100101101100
001001110100 => 101001110100 => 001011100101 => 100101110010
000101110100 => 100101110100 => 001011101001 => 100101110100
000011110100 => 100011110100 => 001011110001 => 100101111000
000111001100 => 100111001100 => 001100111001 => 100110011100
000101101100 => 100101101100 => 001101101001 => 100110110100
000011101100 => 100011101100 => 001101110001 => 100110111000
001100011100 => 101100011100 => 001110001101 => 100111000110
010010011100 => 110010011100 => 001110010011 => 100111001001
000110011100 => 100110011100 => 001110011001 => 100111001100
001001011100 => 101001011100 => 001110100101 => 100111010010
000011011100 => 100011011100 => 001110110001 => 100111011000
010000111100 => 110000111100 => 001111000011 => 100111100001
000100111100 => 100100111100 => 001111001001 => 100111100100
000010111100 => 100010111100 => 001111010001 => 100111101000
000001111100 => 100001111100 => 001111100001 => 100111110000
000111010010 => 100111010010 => 010010111001 => 101001011100
000110110010 => 100110110010 => 010011011001 => 101001101100
000110101010 => 100110101010 => 010101011001 => 101010101100
000101101010 => 100101101010 => 010101101001 => 101010110100
010100011010 => 110100011010 => 010110001011 => 101011000101
001010011010 => 101010011010 => 010110010101 => 101011001010
000110011010 => 100110011010 => 010110011001 => 101011001100
010001011010 => 110001011010 => 010110100011 => 101011010001
001001011010 => 101001011010 => 010110100101 => 101011010010
000101011010 => 100101011010 => 010110101001 => 101011010100
001000111010 => 101000111010 => 010111000101 => 101011100010
000100111010 => 100100111010 => 010111001001 => 101011100100
000010111010 => 100010111010 => 010111010001 => 101011101000
000001111010 => 100001111010 => 010111100001 => 101011110000
010101000110 => 110101000110 => 011000101011 => 101100010101
001101000110 => 101101000110 => 011000101101 => 101100010110
010011000110 => 110011000110 => 011000110011 => 101100011001
001011000110 => 101011000110 => 011000110101 => 101100011010
000111000110 => 100111000110 => 011000111001 => 101100011100
010010100110 => 110010100110 => 011001010011 => 101100101001
001010100110 => 101010100110 => 011001010101 => 101100101010
000110100110 => 100110100110 => 011001011001 => 101100101100
001001100110 => 101001100110 => 011001100101 => 101100110010
000101100110 => 100101100110 => 011001101001 => 101100110100
000011100110 => 100011100110 => 011001110001 => 101100111000
010100010110 => 110100010110 => 011010001011 => 101101000101
001100010110 => 101100010110 => 011010001101 => 101101000110
010010010110 => 110010010110 => 011010010011 => 101101001001
001010010110 => 101010010110 => 011010010101 => 101101001010
000110010110 => 100110010110 => 011010011001 => 101101001100
010001010110 => 110001010110 => 011010100011 => 101101010001
001001010110 => 101001010110 => 011010100101 => 101101010010
000101010110 => 100101010110 => 011010101001 => 101101010100
000011010110 => 100011010110 => 011010110001 => 101101011000
001000110110 => 101000110110 => 011011000101 => 101101100010
000100110110 => 100100110110 => 011011001001 => 101101100100
000010110110 => 100010110110 => 011011010001 => 101101101000
000001110110 => 100001110110 => 011011100001 => 101101110000
010100001110 => 110100001110 => 011100001011 => 101110000101
010010001110 => 110010001110 => 011100010011 => 101110001001
001010001110 => 101010001110 => 011100010101 => 101110001010
000110001110 => 100110001110 => 011100011001 => 101110001100
010001001110 => 110001001110 => 011100100011 => 101110010001
001001001110 => 101001001110 => 011100100101 => 101110010010
000101001110 => 100101001110 => 011100101001 => 101110010100
000011001110 => 100011001110 => 011100110001 => 101110011000
010000101110 => 110000101110 => 011101000011 => 101110100001
001000101110 => 101000101110 => 011101000101 => 101110100010
000100101110 => 100100101110 => 011101001001 => 101110100100
000010101110 => 100010101110 => 011101010001 => 101110101000
000001101110 => 100001101110 => 011101100001 => 101110110000
010000011110 => 110000011110 => 011110000011 => 101111000001
001000011110 => 101000011110 => 011110000101 => 101111000010
000100011110 => 100100011110 => 011110001001 => 101111000100
000010011110 => 100010011110 => 011110010001 => 101111001000
000001011110 => 100001011110 => 011110100001 => 101111010000
000000111110 => 100000111110 => 011111000001 => 101111100000
10111111101 => 00111111101 => 10111111100 => 01011111110
0001101001 => 1001101001 => 1001011001 => 1100101100
0000110001 => 1000110001 => 1000110001 => 1100011000
10000000001 => 00000000001 => 10000000000 => 01000000000
11111111111 => 01111111111 => 11111111110 => 01111111111
0100011001 => 1100011001 => 1001100011 => 1100110001
0100111001 => 1100111001 => 1001110011 => 1100111001
0101111001 => 1101111001 => 1001111011 => 1100111101
0110010001 => 1110010001 => 1000100111 => 1100010011
0100110001 => 1100110001 => 1000110011 => 1100011001
0101100001 => 1101100001 => 1000011011 => 1100001101
0110111011 => 1110111011 => 1101110111 => 1110111011
0101111011 => 1101111011 => 1101111011 => 1110111101
0110010011 => 1110010011 => 1100100111 => 1110010011
0100010011 => 1100010011 => 1100100011 => 1110010001
0110100011 => 1110100011 => 1100010111 => 1110001011
0100100011 => 1100100011 => 1100010011 => 1110001001
0101100011 => 1101100011 => 1100011011 => 1110001101
0101000011 => 1101000011 => 1100001011 => 1110000101
0110110111 => 1110110111 => 1110110111 => 1111011011
0101110111 => 1101110111 => 1110111011 => 1111011101
0110101111 => 1110101111 => 1111010111 => 1111101011
0101101111 => 1101101111 => 1111011011 => 1111101101
0101001111 => 1101001111 => 1111001011 => 1111100101
101110011001 => 001110011001 => 100110011100 => 010011001110
101000011001 => 001000011001 => 100110000100 => 010011000010
100110111001 => 000110111001 => 100111011000 => 010011101100
101100111001 => 001100111001 => 100111001100 => 010011100110
100101111001 => 000101111001 => 100111101000 => 010011110100
101001111001 => 001001111001 => 100111100100 => 010011110010
101110110001 => 001110110001 => 100011011100 => 010001101110
101000110001 => 001000110001 => 100011000100 => 010001100010
101101110001 => 001101110001 => 100011101100 => 010001110110
101011110001 => 001011110001 => 100011110100 => 010001111010
101100100001 => 001100100001 => 100001001100 => 010000100110
101001100001 => 001001100001 => 100001100100 => 010000110010
101011000001 => 001011000001 => 100000110100 => 010000011010
100110011011 => 000110011011 => 110110011000 => 011011001100
101100011011 => 001100011011 => 110110001100 => 011011000110
100100111011 => 000100111011 => 110111001000 => 011011100100
101000111011 => 001000111011 => 110111000100 => 011011100010
101101111011 => 001101111011 => 110111101100 => 011011110110
101110010011 => 001110010011 => 110010011100 => 011001001110
101000010011 => 001000010011 => 110010000100 => 011001000010
100110110011 => 000110110011 => 110011011000 => 011001101100
101100110011 => 001100110011 => 110011001100 => 011001100110
101001110011 => 001001110011 => 110011100100 => 011001110010
100100100011 => 000100100011 => 110001001000 => 011000100100
101011100011 => 001011100011 => 110001110100 => 011000111010
101001000011 => 001001000011 => 110000100100 => 011000010010
100110010111 => 000110010111 => 111010011000 => 011101001100
101100010111 => 001100010111 => 111010001100 => 011101000110
101110110111 => 001110110111 => 111011011100 => 011101101110
100100110111 => 000100110111 => 111011001000 => 011101100100
101000110111 => 001000110111 => 111011000100 => 011101100010
101011110111 => 001011110111 => 111011110100 => 011101111010
100110100111 => 000110100111 => 111001011000 => 011100101100
101100100111 => 001100100111 => 111001001100 => 011100100110
100101100111 => 000101100111 => 111001101000 => 011100110100
101001100111 => 001001100111 => 111001100100 => 011100110010
101101000111 => 001101000111 => 111000101100 => 011100010110
101011000111 => 001011000111 => 111000110100 => 011100011010
100100101111 => 000100101111 => 111101001000 => 011110100100
101000101111 => 001000101111 => 111101000100 => 011110100010
101101101111 => 001101101111 => 111101101100 => 011110110110
100101001111 => 000101001111 => 111100101000 => 011110010100
101001001111 => 001001001111 => 111100100100 => 011110010010
101010001111 => 001010001111 => 111100010100 => 011110001010
101011011111 => 001011011111 => 111110110100 => 011111011010
100110101010 => 000110101010 => 010101011000 => 001010101100
101001101010 => 001001101010 => 010101100100 => 001010110010
100101101010 => 000101101010 => 010101101000 => 001010110100
100011101010 => 000011101010 => 010101110000 => 001010111000
101010011010 => 001010011010 => 010110010100 => 001011001010
100110011010 => 000110011010 => 010110011000 => 001011001100
101001011010 => 001001011010 => 010110100100 => 001011010010
100101011010 => 000101011010 => 010110101000 => 001011010100
101000111010 => 001000111010 => 010111000100 => 001011100010
101010100110 => 001010100110 => 011001010100 => 001100101010
100110100110 => 000110100110 => 011001011000 => 001100101100
101001100110 => 001001100110 => 011001100100 => 001100110010
100101100110 => 000101100110 => 011001101000 => 001100110100
101010010110 => 001010010110 => 011010010100 => 001101001010
100110010110 => 000110010110 => 011010011000 => 001101001100
101001010110 => 001001010110 => 011010100100 => 001101010010
101010001110 => 001010001110 => 011100010100 => 001110001010
01010101101 => 11010101101 => 10110101011 => 11011010101
01010110110 => 11010110110 => 01101101011 => 10110110101
01010110101 => 11010110101 => 10101101011 => 11010110101
01010111011 => 11010111011 => 11011101011 => 11101110101
01011011010 => 11011011010 => 01011011011 => 10101101101
01011011101 => 11011011101 => 10111011011 => 11011101101
01011010110 => 11011010110 => 01101011011 => 10110101101
01011010101 => 11011010101 => 10101011011 => 11010101101
01011011011 => 11011011011 => 11011011011 => 11101101101
01011101110 => 11011101110 => 01110111011 => 10111011101
01011101101 => 11011101101 => 10110111011 => 11011011101
01011101011 => 11011101011 => 11010111011 => 11101011101
01011110111 => 11011110111 => 11101111011 => 11110111101
01101101010 => 11101101010 => 01010110111 => 10101011011
01101101101 => 11101101101 => 10110110111 => 11011011011
01101110110 => 11101110110 => 01101110111 => 10110111011
01101110101 => 11101110101 => 10101110111 => 11010111011
01101111011 => 11101111011 => 11011110111 => 11101111011
01101011010 => 11101011010 => 01011010111 => 10101101011
01101011101 => 11101011101 => 10111010111 => 11011101011
01101010110 => 11101010110 => 01101010111 => 10110101011
01101010101 => 11101010101 => 10101010111 => 11010101011
01101011011 => 11101011011 => 11011010111 => 11101101011
01101101110 => 11101101110 => 01110110111 => 10111011011
01101101011 => 11101101011 => 11010110111 => 11101011011
01101110111 => 11101110111 => 11101110111 => 11110111011
01110111101 => 11110111101 => 10111101111 => 11011110111
01110111011 => 11110111011 => 11011101111 => 11101110111
01110110111 => 11110110111 => 11101101111 => 11110110111
10110101010 => 00110101010 => 01010101100 => 00101010110
10111101011 => 00111101011 => 11010111100 => 01101011110
10101101010 => 00101101010 => 01010110100 => 00101011010
10101111011 => 00101111011 => 11011110100 => 01101111010
10101011011 => 00101011011 => 11011010100 => 01101101010
10101101011 => 00101101011 => 11010110100 => 01101011010
10110101011 => 00110101011 => 11010101100 => 01101010110
11011101101 => 01011101101 => 10110111010 => 01011011101
11011011010 => 01011011010 => 01011011010 => 00101101101
11011011101 => 01011011101 => 10111011010 => 01011101101
11011010110 => 01011010110 => 01101011010 => 00110101101
11011010101 => 01011010101 => 10101011010 => 01010101101
11011011011 => 01011011011 => 11011011010 => 01101101101
11011101011 => 01011101011 => 11010111010 => 01101011101
11011110111 => 01011110111 => 11101111010 => 01110111101
11010110101 => 01010110101 => 10101101010 => 01010110101
11010111011 => 01010111011 => 11011101010 => 01101110101
11010101101 => 01010101101 => 10110101010 => 01011010101
11010101011 => 01010101011 => 11010101010 => 01101010101
11101110101 => 01101110101 => 10101110110 => 01010111011
11101111011 => 01101111011 => 11011110110 => 01101111011
11101101101 => 01101101101 => 10110110110 => 01011011011
11101101011 => 01101101011 => 11010110110 => 01101011011
11101110111 => 01101110111 => 11101110110 => 01110111011
11101011101 => 01101011101 => 10111010110 => 01011101011
11101011011 => 01101011011 => 11011010110 => 01101101011
11110111101 => 01110111101 => 10111101110 => 01011110111
11110111011 => 01110111011 => 11011101110 => 01101110111
11110110111 => 01110110111 => 11101101110 => 01110110111
00000011111101 => 10000011111101 => 10111111000001 => 11011111100000
00001001111101 => 10001001111101 => 10111110010001 => 11011111001000
00001011011101 => 10001011011101 => 10111011010001 => 11011101101000
00001100111101 => 10001100111101 => 10111100110001 => 11011110011000
00100001111101 => 10100001111101 => 10111110000101 => 11011111000010
0000001100 => 1000001100 => 0011000001 => 1001100000
0000011001 => 1000011001 => 1001100001 => 1100110000
0000110011 => 1000110011 => 1100110001 => 1110011000
0110011111 => 1110011111 => 1111100111 => 1111110011
0000110100 => 1000110100 => 0010110001 => 1001011000
0000000011 => 1000000011 => 1100000001 => 1110000000
0000011011 => 1000011011 => 1101100001 => 1110110000
0011011111 => 1011011111 => 1111101101 => 1111110110
0011010111 => 1011010111 => 1110101101 => 1111010110
10000010101 => 00000010101 => 10101000000 => 01010100000
10000000101 => 00000000101 => 10100000000 => 01010000000
0010000010 => 1010000010 => 0100000101 => 1010000010
0111001011 => 1111001011 => 1101001111 => 1110100111
0111100111 => 1111100111 => 1110011111 => 1111001111
0111110111 => 1111110111 => 1110111111 => 1111011111
11000000000 => 01000000000 => 00000000010 => 00000000001
0110001011 => 1110001011 => 1101000111 => 1110100011
0110000111 => 1110000111 => 1110000111 => 1111000011
011100100011 => 111100100011 => 110001001111 => 111000100111
011010010011 => 111010010011 => 110010010111 => 111001001011
011100010011 => 111100010011 => 110010001111 => 111001000111
011000110011 => 111000110011 => 110011000111 => 111001100011
010110001011 => 110110001011 => 110100011011 => 111010001101
011010001011 => 111010001011 => 110100010111 => 111010001011
011100001011 => 111100001011 => 110100001111 => 111010000111
011000101011 => 111000101011 => 110101000111 => 111010100011
011000011011 => 111000011011 => 110110000111 => 111011000011
001110000111 => 101110000111 => 111000011101 => 111100001110
011000100111 => 111000100111 => 111001000111 => 111100100011
011000010111 => 111000010111 => 111010000111 => 111101000011
011000001111 => 111000001111 => 111100000111 => 111110000011
00101011010101 => 10101011010101 => 10101011010101 => 11010101101010
00101001110101 => 10101001110101 => 10101110010101 => 11010111001010
00101001011101 => 10101001011101 => 10111010010101 => 11011101001010
00100011110101 => 10100011110101 => 10101111000101 => 11010111100010
00101001010111 => 10101001010111 => 11101010010101 => 11110101001010
00100011011101 => 10100011011101 => 10111011000101 => 11011101100010
00001011110101 => 10001011110101 => 10101111010001 => 11010111101000
0011010110 => 1011010110 => 0110101101 => 1011010110
0100110110 => 1100110110 => 0110110011 => 1011011001
0110001110 => 1110001110 => 0111000111 => 1011100011
0101001110 => 1101001110 => 0111001011 => 1011100101
0011001110 => 1011001110 => 0111001101 => 1011100110
0100101110 => 1100101110 => 0111010011 => 1011101001
0100011110 => 1100011110 => 0111100011 => 1011110001
0010011110 => 1010011110 => 0111100101 => 1011110010
001110010110 => 101110010110 => 011010011101 => 101101001110
011000110110 => 111000110110 => 011011000111 => 101101100011
001100110110 => 101100110110 => 011011001101 => 101101100110
000110110110 => 100110110110 => 011011011001 => 101101101100
001110001110 => 101110001110 => 011100011101 => 101110001110
001011001110 => 101011001110 => 011100110101 => 101110011010
011000101110 => 111000101110 => 011101000111 => 101110100011
001100101110 => 101100101110 => 011101001101 => 101110100110
010010101110 => 110010101110 => 011101010011 => 101110101001
001010101110 => 101010101110 => 011101010101 => 101110101010
000110101110 => 100110101110 => 011101011001 => 101110101100
001001101110 => 101001101110 => 011101100101 => 101110110010
001100011110 => 101100011110 => 011110001101 => 101111000110
001010011110 => 101010011110 => 011110010101 => 101111001010
010001011110 => 110001011110 => 011110100011 => 101111010001
001001011110 => 101001011110 => 011110100101 => 101111010010
000101011110 => 100101011110 => 011110101001 => 101111010100
001000111110 => 101000111110 => 011111000101 => 101111100010
000010111110 => 100010111110 => 011111010001 => 101111101000
00100110010111 => 10100110010111 => 11101001100101 => 11110100110010
00100011010111 => 10100011010111 => 11101011000101 => 11110101100010
00100001110111 => 10100001110111 => 11101110000101 => 11110111000010
00100001011111 => 10100001011111 => 11111010000101 => 11111101000010
00001011010111 => 10001011010111 => 11101011010001 => 11110101101000
00001001110111 => 10001001110111 => 11101110010001 => 11110111001000
00001001011111 => 10001001011111 => 11111010010001 => 11111101001000
00000011110111 => 10000011110111 => 11101111000001 => 11110111100000
00000011011111 => 10000011011111 => 11111011000001 => 11111101100000
00000001111111 => 10000001111111 => 11111110000001 => 11111111000000
0101000000 => 1101000000 => 0000001011 => 1000000101
0001010101 => 1001010101 => 1010101001 => 1101010100
0100010101 => 1100010101 => 1010100011 => 1101010001
0100101001 => 1100101001 => 1001010011 => 1100101001
0001001011 => 1001001011 => 1101001001 => 1110100100
0001100011 => 1001100011 => 1100011001 => 1110001100
0110000011 => 1110000011 => 1100000111 => 1110000011
010000010101 => 110000010101 => 101010000011 => 110101000001
011101110101 => 111101110101 => 101011101111 => 110101110111
010000101001 => 110000101001 => 100101000011 => 110010100001
000110001001 => 100110001001 => 100100011001 => 110010001100
010010001001 => 110010001001 => 100100010011 => 110010001001
0111000000 => 1111000000 => 0000001111 => 1000000111
0111111100 => 1111111100 => 0011111111 => 1001111111
0010000000 => 1010000000 => 0000000101 => 1000000010
01100000000 => 11100000000 => 00000000111 => 10000000011
01110000000 => 11110000000 => 00000001111 => 10000000111
0110100000 => 1110100000 => 0000010111 => 1000001011
01111000000 => 11111000000 => 00000011111 => 10000001111
01111100000 => 11111100000 => 00000111111 => 10000011111
01111110000 => 11111110000 => 00001111111 => 10000111111
0111110100 => 1111110100 => 0010111111 => 1001011111
01111111000 => 11111111000 => 00011111111 => 10001111111
0111111010 => 1111111010 => 0101111111 => 1010111111
01111111100 => 11111111100 => 00111111111 => 10011111111
101101010101 => 001101010101 => 101010101100 => 010101010110
101011010101 => 001011010101 => 101010110100 => 010101011010
101100110101 => 001100110101 => 101011001100 => 010101100110
110010110101 => 010010110101 => 101011010010 => 010101101001
101010110101 => 001010110101 => 101011010100 => 010101101010
101101001101 => 001101001101 => 101100101100 => 010110010110
101011001101 => 001011001101 => 101100110100 => 010110011010
110100101101 => 010100101101 => 101101001010 => 010110100101
101100101101 => 001100101101 => 101101001100 => 010110100110
110010101101 => 010010101101 => 101101010010 => 010110101001
101010101101 => 001010101101 => 101101010100 => 010110101010
101101010011 => 001101010011 => 110010101100 => 011001010110
101011010011 => 001011010011 => 110010110100 => 011001011010
110010110011 => 010010110011 => 110011010010 => 011001101001
101010110011 => 001010110011 => 110011010100 => 011001101010
110101001011 => 010101001011 => 110100101010 => 011010010101
101101001011 => 001101001011 => 110100101100 => 011010010110
110011001011 => 010011001011 => 110100110010 => 011010011001
101011001011 => 001011001011 => 110100110100 => 011010011010
110100101011 => 010100101011 => 110101001010 => 011010100101
101100101011 => 001100101011 => 110101001100 => 011010100110
110010101011 => 010010101011 => 110101010010 => 011010101001
101010101011 => 001010101011 => 110101010100 => 011010101010
0000000111 => 1000000111 => 1110000001 => 1111000000
0000001111 => 1000001111 => 1111000001 => 1111100000
0001111111 => 1001111111 => 1111111001 => 1111111100
0011111111 => 1011111111 => 1111111101 => 1111111110
00000000111 => 10000000111 => 11100000001 => 11110000000
0000001011 => 1000001011 => 1101000001 => 1110100000
0000010111 => 1000010111 => 1110100001 => 1111010000
00000011111 => 10000011111 => 11111000001 => 11111100000
0001011111 => 1001011111 => 1111101001 => 1111110100
00001111111 => 10001111111 => 11111110001 => 11111111000
0010111111 => 1010111111 => 1111110101 => 1111111010
00011111111 => 10011111111 => 11111111001 => 11111111100
00111111111 => 10111111111 => 11111111101 => 11111111110
0011111100 => 1011111100 => 0011111101 => 1001111110
0011011100 => 1011011100 => 0011101101 => 1001110110
0010111001 => 1010111001 => 1001110101 => 1100111010
0001111001 => 1001111001 => 1001111001 => 1100111100
011000111100 => 111000111100 => 001111000111 => 100111100011
001100111001 => 101100111001 => 100111001101 => 110011100110
001100111100 => 101100111100 => 001111001101 => 100111100110
010010111100 => 110010111100 => 001111010011 => 100111101001
001010111001 => 101010111001 => 100111010101 => 110011101010
001010111100 => 101010111100 => 001111010101 => 100111101010
000110111100 => 100110111100 => 001111011001 => 100111101100
001110110001 => 101110110001 => 100011011101 => 110001101110
001110110100 => 101110110100 => 001011011101 => 100101101110
001101101001 => 101101101001 => 100101101101 => 110010110110
001101110001 => 101101110001 => 100011101101 => 110001110110
001011100101 => 101011100101 => 101001110101 => 110100111010
001011101001 => 101011101001 => 100101110101 => 110010111010
001011110001 => 101011110001 => 100011110101 => 110001111010
000111100011 => 100111100011 => 110001111001 => 111000111100
000111100101 => 100111100101 => 101001111001 => 110100111100
000111101001 => 100111101001 => 100101111001 => 110010111100
0000101010 => 1000101010 => 0101010001 => 1010101000
111000101011 => 011000101011 => 110101000110 => 011010100011
111001001011 => 011001001011 => 110100100110 => 011010010011
110110001011 => 010110001011 => 110100011010 => 011010001101
111010001011 => 011010001011 => 110100010110 => 011010001011
111100001011 => 011100001011 => 110100001110 => 011010000111
101111000011 => 001111000011 => 110000111100 => 011000011110
101110001101 => 001110001101 => 101100011100 => 010110001110
101011100101 => 001011100101 => 101001110100 => 010100111010
101110100101 => 001110100101 => 101001011100 => 010100101110
101010111001 => 001010111001 => 100111010100 => 010011101010
101011011001 => 001011011001 => 100110110100 => 010011011010
101011101001 => 001011101001 => 100101110100 => 010010111010
101101101001 => 001101101001 => 100101101100 => 010010110110
101111001001 => 001111001001 => 100100111100 => 010010011110
101111100001 => 001111100001 => 100001111100 => 010000111110
11010001000 => 01010001000 => 00010001010 => 00001000101
11000100010 => 01000100010 => 01000100010 => 00100010001
00010010101 => 10010010101 => 10101001001 => 11010100100
00010100101 => 10010100101 => 10100101001 => 11010010100
00010101001 => 10010101001 => 10010101001 => 11001010100
00010101010 => 10010101010 => 01010101001 => 10101010100
00000100010 => 10000100010 => 01000100001 => 10100010000
001101100011 => 101101100011 => 110001101101 => 111000110110
001110001101 => 101110001101 => 101100011101 => 110110001110
001110010011 => 101110010011 => 110010011101 => 111001001110
001110011001 => 101110011001 => 100110011101 => 110011001110
001110011100 => 101110011100 => 001110011101 => 100111001110
001110100101 => 101110100101 => 101001011101 => 110100101110
010010111001 => 110010111001 => 100111010011 => 110011101001
11000100000 => 01000100000 => 00000100010 => 00000010001
01000100000 => 11000100000 => 00000100011 => 10000010001
110100010110 => 010100010110 => 011010001010 => 001101000101
110010001110 => 010010001110 => 011100010010 => 001110001001
100110011100 => 000110011100 => 001110011000 => 000111001100
00000101110 => 10000101110 => 01110100001 => 10111010000
00010111110 => 10010111110 => 01111101001 => 10111110100
0010010101 => 1010010101 => 1010100101 => 1101010010
0010010011 => 1010010011 => 1100100101 => 1110010010
0000100111 => 1000100111 => 1110010001 => 1111001000
0000100100 => 1000100100 => 0010010001 => 1001001000
0011000000 => 1011000000 => 0000001101 => 1000000110
0101010111 => 1101010111 => 1110101011 => 1111010101
10101010001 => 00101010001 => 10001010100 => 01000101010
11010101001 => 01010101001 => 10010101010 => 01001010101
100100111100 => 000100111100 => 001111001000 => 000111100100
110100011010 => 010100011010 => 010110001010 => 001011000101
110010011100 => 010010011100 => 001110010010 => 000111001001
01101010100 => 11101010100 => 00101010111 => 10010101011
01101010010 => 11101010010 => 01001010111 => 10100101011
01101001010 => 11101001010 => 01010010111 => 10101001011
01100101010 => 11100101010 => 01010100111 => 10101010011
01110101010 => 11110101010 => 01010101111 => 10101010111
11111100000 => 01111100000 => 00000111110 => 00000011111
01110110000 => 11110110000 => 00001101111 => 10000110111
0011100001 => 1011100001 => 1000011101 => 1100001110
01010101000 => 11010101000 => 00010101011 => 10001010101
01000000010 => 11000000010 => 01000000011 => 10100000001
00010000000 => 10010000000 => 00000001001 => 10000000100
0000101000 => 1000101000 => 0001010001 => 1000101000
110101000110 => 010101000110 => 011000101010 => 001100010101
10011111111 => 00011111111 => 11111111000 => 01111111100
10000111111 => 00000111111 => 11111100000 => 01111110000
10000001111 => 00000001111 => 11110000000 => 01111000000
10000000011 => 00000000011 => 11000000000 => 01100000000
110011000110 => 010011000110 => 011000110010 => 001100011001
110001001110 => 010001001110 => 011100100010 => 001110010001
110001101100 => 010001101100 => 001101100010 => 000110110001
110010010110 => 010010010110 => 011010010010 => 001101001001
110100001110 => 010100001110 => 011100001010 => 001110000101
01000111011 => 11000111011 => 11011100011 => 11101110001
0101001000 => 1101001000 => 0001001011 => 1000100101
0101010000 => 1101010000 => 0000101011 => 1000010101
0010010000 => 1010010000 => 0000100101 => 1000010010
0001010010 => 1001010010 => 0100101001 => 1010010100
01010110111 => 11010110111 => 11101101011 => 11110110101
01011010111 => 11011010111 => 11101011011 => 11110101101
01101010111 => 11101010111 => 11101010111 => 11110101011
10101010111 => 00101010111 => 11101010100 => 01110101010
010011100011 => 110011100011 => 110001110011 => 111000111001
010110100011 => 110110100011 => 110001011011 => 111000101101
011001100011 => 111001100011 => 110001100111 => 111000110011
011011000011 => 111011000011 => 110000110111 => 111000011011
0010011001 => 1010011001 => 1001100101 => 1100110010
0010100101 => 1010100101 => 1010010101 => 1101001010
0011001001 => 1011001001 => 1001001101 => 1100100110
0010110111 => 1010110111 => 1110110101 => 1111011010
0010001101 => 1010001101 => 1011000101 => 1101100010
11000010100 => 01000010100 => 00101000010 => 00010100001
11000001000 => 01000001000 => 00010000010 => 00001000001
11010000100 => 01010000100 => 00100001010 => 00010000101
11111111000 => 01111111000 => 00011111110 => 00001111111
0101101011 => 1101101011 => 1101011011 => 1110101101
0101011101 => 1101011101 => 1011101011 => 1101110101
0011000011 => 1011000011 => 1100001101 => 1110000110
0001111011 => 1001111011 => 1101111001 => 1110111100
11110000000 => 01110000000 => 00000001110 => 00000000111
11011100010 => 01011100010 => 01000111010 => 00100011101
11011101000 => 01011101000 => 00010111010 => 00001011101
11110100010 => 01110100010 => 01000101110 => 00100010111
110001011010 => 010001011010 => 010110100010 => 001011010001
0010000111 => 1010000111 => 1110000101 => 1111000010
010111110101 => 110111110101 => 101011111011 => 110101111101
010111011101 => 110111011101 => 101110111011 => 110111011101
011111010101 => 111111010101 => 101010111111 => 110101011111
011101011101 => 111101011101 => 101110101111 => 110111010111
0000110000 => 1000110000 => 0000110001 => 1000011000
000000001100 => 100000001100 => 001100000001 => 100110000000
000000110000 => 100000110000 => 000011000001 => 100001100000
000000111100 => 100000111100 => 001111000001 => 100111100000
000000100100 => 100000100100 => 001001000001 => 100100100000
000011000000 => 100011000000 => 000000110001 => 100000011000
000011001100 => 100011001100 => 001100110001 => 100110011000
000011110000 => 100011110000 => 000011110001 => 100001111000
000011100100 => 100011100100 => 001001110001 => 100100111000
000010010000 => 100010010000 => 000010010001 => 100001001000
000010011100 => 100010011100 => 001110010001 => 100111001000
000010000100 => 100010000100 => 001000010001 => 100100001000
000010110100 => 100010110100 => 001011010001 => 100101101000
001100000000 => 101100000000 => 000000001101 => 100000000110
001100001100 => 101100001100 => 001100001101 => 100110000110
001100110000 => 101100110000 => 000011001101 => 100001100110
001100100100 => 101100100100 => 001001001101 => 100100100110
001111000000 => 101111000000 => 000000111101 => 100000011110
001111111100 => 101111111100 => 001111111101 => 100111111110
001110010000 => 101110010000 => 000010011101 => 100001001110
001110000100 => 101110000100 => 001000011101 => 100100001110
001001000000 => 101001000000 => 000000100101 => 100000010010
001001001100 => 101001001100 => 001100100101 => 100110010010
001001110000 => 101001110000 => 000011100101 => 100001110010
001001100100 => 101001100100 => 001001100101 => 100100110010
001000010000 => 101000010000 => 000010000101 => 100001000010
001000011100 => 101000011100 => 001110000101 => 100111000010
001000000100 => 101000000100 => 001000000101 => 100100000010
001000110100 => 101000110100 => 001011000101 => 100101100010
001011010000 => 101011010000 => 000010110101 => 100001011010
001011000100 => 101011000100 => 001000110101 => 100100011010
001010010100 => 101010010100 => 001010010101 => 100101001010
101001011100 => 001001011100 => 001110100100 => 000111010010
11111100011 => 01111100011 => 11000111110 => 01100011111
11110001111 => 01110001111 => 11110001110 => 01111000111
11110001000 => 01110001000 => 00010001110 => 00001000111
11110000011 => 01110000011 => 11000001110 => 01100000111
11110001110 => 01110001110 => 01110001110 => 00111000111
11110111000 => 01110111000 => 00011101110 => 00001110111
11000111000 => 01000111000 => 00011100010 => 00001110001
11000100011 => 01000100011 => 11000100010 => 01100010001
11000111011 => 01000111011 => 11011100010 => 01101110001
01110111000 => 11110111000 => 00011101111 => 10001110111
01110001111 => 11110001111 => 11110001111 => 11111000111
01110001000 => 11110001000 => 00010001111 => 10001000111
01110000011 => 11110000011 => 11000001111 => 11100000111
01110001110 => 11110001110 => 01110001111 => 10111000111
01110111110 => 11110111110 => 01111101111 => 10111110111
01110100010 => 11110100010 => 01000101111 => 10100010111
01111100011 => 11111100011 => 11000111111 => 11100011111
01111101110 => 11111101110 => 01110111111 => 10111011111
01000100011 => 11000100011 => 11000100011 => 11100010001
01000101110 => 11000101110 => 01110100011 => 10111010001
01000111000 => 11000111000 => 00011100011 => 10001110001
01000111110 => 11000111110 => 01111100011 => 10111110001
01000001110 => 11000001110 => 01110000011 => 10111000001
01011101000 => 11011101000 => 00010111011 => 10001011101
01011100010 => 11011100010 => 01000111011 => 10100011101
011010001101 => 111010001101 => 101100010111 => 110110001011
011000111001 => 111000111001 => 100111000111 => 110011100011
011110101101 => 111110101101 => 101101011111 => 110110101111
Map
twist
Description
Return the binary word with first letter inverted.
Map
reverse
Description
Return the reversal of a binary word.
Map
rotate back-to-front
Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.