Identifier
Mp00136: Binary words rotate back-to-frontBinary words
Mp00104: Binary words reverseBinary words
Images
0 => 0 => 0
1 => 1 => 1
00 => 00 => 00
01 => 10 => 01
10 => 01 => 10
11 => 11 => 11
000 => 000 => 000
001 => 100 => 001
010 => 001 => 100
011 => 101 => 101
100 => 010 => 010
101 => 110 => 011
110 => 011 => 110
111 => 111 => 111
0000 => 0000 => 0000
0001 => 1000 => 0001
0010 => 0001 => 1000
0011 => 1001 => 1001
0100 => 0010 => 0100
0101 => 1010 => 0101
0110 => 0011 => 1100
0111 => 1011 => 1101
1000 => 0100 => 0010
1001 => 1100 => 0011
1010 => 0101 => 1010
1011 => 1101 => 1011
1100 => 0110 => 0110
1101 => 1110 => 0111
1110 => 0111 => 1110
1111 => 1111 => 1111
00000 => 00000 => 00000
00001 => 10000 => 00001
00010 => 00001 => 10000
00011 => 10001 => 10001
00100 => 00010 => 01000
00101 => 10010 => 01001
00110 => 00011 => 11000
00111 => 10011 => 11001
01000 => 00100 => 00100
01001 => 10100 => 00101
01010 => 00101 => 10100
01011 => 10101 => 10101
01100 => 00110 => 01100
01101 => 10110 => 01101
01110 => 00111 => 11100
01111 => 10111 => 11101
10000 => 01000 => 00010
10001 => 11000 => 00011
10010 => 01001 => 10010
10011 => 11001 => 10011
10100 => 01010 => 01010
10101 => 11010 => 01011
10110 => 01011 => 11010
10111 => 11011 => 11011
11000 => 01100 => 00110
11001 => 11100 => 00111
11010 => 01101 => 10110
11011 => 11101 => 10111
11100 => 01110 => 01110
11101 => 11110 => 01111
11110 => 01111 => 11110
11111 => 11111 => 11111
000000 => 000000 => 000000
000001 => 100000 => 000001
000010 => 000001 => 100000
000011 => 100001 => 100001
000100 => 000010 => 010000
000101 => 100010 => 010001
000110 => 000011 => 110000
000111 => 100011 => 110001
001000 => 000100 => 001000
001001 => 100100 => 001001
001010 => 000101 => 101000
001011 => 100101 => 101001
001100 => 000110 => 011000
001101 => 100110 => 011001
001110 => 000111 => 111000
001111 => 100111 => 111001
010000 => 001000 => 000100
010001 => 101000 => 000101
010010 => 001001 => 100100
010011 => 101001 => 100101
010100 => 001010 => 010100
010101 => 101010 => 010101
010110 => 001011 => 110100
010111 => 101011 => 110101
011000 => 001100 => 001100
011001 => 101100 => 001101
011010 => 001101 => 101100
011011 => 101101 => 101101
011100 => 001110 => 011100
011101 => 101110 => 011101
011110 => 001111 => 111100
011111 => 101111 => 111101
100000 => 010000 => 000010
100001 => 110000 => 000011
100010 => 010001 => 100010
100011 => 110001 => 100011
100100 => 010010 => 010010
100101 => 110010 => 010011
100110 => 010011 => 110010
>>> Load all 4142 entries. <<<
100111 => 110011 => 110011
101000 => 010100 => 001010
101001 => 110100 => 001011
101010 => 010101 => 101010
101011 => 110101 => 101011
101100 => 010110 => 011010
101101 => 110110 => 011011
101110 => 010111 => 111010
101111 => 110111 => 111011
110000 => 011000 => 000110
110001 => 111000 => 000111
110010 => 011001 => 100110
110011 => 111001 => 100111
110100 => 011010 => 010110
110101 => 111010 => 010111
110110 => 011011 => 110110
110111 => 111011 => 110111
111000 => 011100 => 001110
111001 => 111100 => 001111
111010 => 011101 => 101110
111011 => 111101 => 101111
111100 => 011110 => 011110
111101 => 111110 => 011111
111110 => 011111 => 111110
111111 => 111111 => 111111
0000000 => 0000000 => 0000000
0000001 => 1000000 => 0000001
0000010 => 0000001 => 1000000
0000011 => 1000001 => 1000001
0000100 => 0000010 => 0100000
0000101 => 1000010 => 0100001
0000110 => 0000011 => 1100000
0000111 => 1000011 => 1100001
0001000 => 0000100 => 0010000
0001001 => 1000100 => 0010001
0001010 => 0000101 => 1010000
0001011 => 1000101 => 1010001
0001100 => 0000110 => 0110000
0001101 => 1000110 => 0110001
0001110 => 0000111 => 1110000
0001111 => 1000111 => 1110001
0010000 => 0001000 => 0001000
0010001 => 1001000 => 0001001
0010010 => 0001001 => 1001000
0010011 => 1001001 => 1001001
0010100 => 0001010 => 0101000
0010101 => 1001010 => 0101001
0010110 => 0001011 => 1101000
0010111 => 1001011 => 1101001
0011000 => 0001100 => 0011000
0011001 => 1001100 => 0011001
0011010 => 0001101 => 1011000
0011011 => 1001101 => 1011001
0011100 => 0001110 => 0111000
0011101 => 1001110 => 0111001
0011110 => 0001111 => 1111000
0011111 => 1001111 => 1111001
0100000 => 0010000 => 0000100
0100001 => 1010000 => 0000101
0100010 => 0010001 => 1000100
0100011 => 1010001 => 1000101
0100100 => 0010010 => 0100100
0100101 => 1010010 => 0100101
0100110 => 0010011 => 1100100
0100111 => 1010011 => 1100101
0101000 => 0010100 => 0010100
0101001 => 1010100 => 0010101
0101010 => 0010101 => 1010100
0101011 => 1010101 => 1010101
0101100 => 0010110 => 0110100
0101101 => 1010110 => 0110101
0101110 => 0010111 => 1110100
0101111 => 1010111 => 1110101
0110000 => 0011000 => 0001100
0110001 => 1011000 => 0001101
0110010 => 0011001 => 1001100
0110011 => 1011001 => 1001101
0110100 => 0011010 => 0101100
0110101 => 1011010 => 0101101
0110110 => 0011011 => 1101100
0110111 => 1011011 => 1101101
0111000 => 0011100 => 0011100
0111001 => 1011100 => 0011101
0111010 => 0011101 => 1011100
0111011 => 1011101 => 1011101
0111100 => 0011110 => 0111100
0111101 => 1011110 => 0111101
0111110 => 0011111 => 1111100
0111111 => 1011111 => 1111101
1000000 => 0100000 => 0000010
1000001 => 1100000 => 0000011
1000010 => 0100001 => 1000010
1000011 => 1100001 => 1000011
1000100 => 0100010 => 0100010
1000101 => 1100010 => 0100011
1000110 => 0100011 => 1100010
1000111 => 1100011 => 1100011
1001000 => 0100100 => 0010010
1001001 => 1100100 => 0010011
1001010 => 0100101 => 1010010
1001011 => 1100101 => 1010011
1001100 => 0100110 => 0110010
1001101 => 1100110 => 0110011
1001110 => 0100111 => 1110010
1001111 => 1100111 => 1110011
1010000 => 0101000 => 0001010
1010001 => 1101000 => 0001011
1010010 => 0101001 => 1001010
1010011 => 1101001 => 1001011
1010100 => 0101010 => 0101010
1010101 => 1101010 => 0101011
1010110 => 0101011 => 1101010
1010111 => 1101011 => 1101011
1011000 => 0101100 => 0011010
1011001 => 1101100 => 0011011
1011010 => 0101101 => 1011010
1011011 => 1101101 => 1011011
1011100 => 0101110 => 0111010
1011101 => 1101110 => 0111011
1011110 => 0101111 => 1111010
1011111 => 1101111 => 1111011
1100000 => 0110000 => 0000110
1100001 => 1110000 => 0000111
1100010 => 0110001 => 1000110
1100011 => 1110001 => 1000111
1100100 => 0110010 => 0100110
1100101 => 1110010 => 0100111
1100110 => 0110011 => 1100110
1100111 => 1110011 => 1100111
1101000 => 0110100 => 0010110
1101001 => 1110100 => 0010111
1101010 => 0110101 => 1010110
1101011 => 1110101 => 1010111
1101100 => 0110110 => 0110110
1101101 => 1110110 => 0110111
1101110 => 0110111 => 1110110
1101111 => 1110111 => 1110111
1110000 => 0111000 => 0001110
1110001 => 1111000 => 0001111
1110010 => 0111001 => 1001110
1110011 => 1111001 => 1001111
1110100 => 0111010 => 0101110
1110101 => 1111010 => 0101111
1110110 => 0111011 => 1101110
1110111 => 1111011 => 1101111
1111000 => 0111100 => 0011110
1111001 => 1111100 => 0011111
1111010 => 0111101 => 1011110
1111011 => 1111101 => 1011111
1111100 => 0111110 => 0111110
1111101 => 1111110 => 0111111
1111110 => 0111111 => 1111110
1111111 => 1111111 => 1111111
00000000 => 00000000 => 00000000
00000001 => 10000000 => 00000001
00000010 => 00000001 => 10000000
00000011 => 10000001 => 10000001
00000100 => 00000010 => 01000000
00000101 => 10000010 => 01000001
00000110 => 00000011 => 11000000
00000111 => 10000011 => 11000001
00001000 => 00000100 => 00100000
00001001 => 10000100 => 00100001
00001010 => 00000101 => 10100000
00001011 => 10000101 => 10100001
00001100 => 00000110 => 01100000
00001101 => 10000110 => 01100001
00001110 => 00000111 => 11100000
00001111 => 10000111 => 11100001
00010000 => 00001000 => 00010000
00010001 => 10001000 => 00010001
00010010 => 00001001 => 10010000
00010011 => 10001001 => 10010001
00010100 => 00001010 => 01010000
00010101 => 10001010 => 01010001
00010110 => 00001011 => 11010000
00010111 => 10001011 => 11010001
00011000 => 00001100 => 00110000
00011001 => 10001100 => 00110001
00011010 => 00001101 => 10110000
00011011 => 10001101 => 10110001
00011100 => 00001110 => 01110000
00011101 => 10001110 => 01110001
00011110 => 00001111 => 11110000
00011111 => 10001111 => 11110001
00100000 => 00010000 => 00001000
00100001 => 10010000 => 00001001
00100010 => 00010001 => 10001000
00100011 => 10010001 => 10001001
00100100 => 00010010 => 01001000
00100101 => 10010010 => 01001001
00100110 => 00010011 => 11001000
00100111 => 10010011 => 11001001
00101000 => 00010100 => 00101000
00101001 => 10010100 => 00101001
00101010 => 00010101 => 10101000
00101011 => 10010101 => 10101001
00101100 => 00010110 => 01101000
00101101 => 10010110 => 01101001
00101110 => 00010111 => 11101000
00101111 => 10010111 => 11101001
00110000 => 00011000 => 00011000
00110001 => 10011000 => 00011001
00110010 => 00011001 => 10011000
00110011 => 10011001 => 10011001
00110100 => 00011010 => 01011000
00110101 => 10011010 => 01011001
00110110 => 00011011 => 11011000
00110111 => 10011011 => 11011001
00111000 => 00011100 => 00111000
00111001 => 10011100 => 00111001
00111010 => 00011101 => 10111000
00111011 => 10011101 => 10111001
00111100 => 00011110 => 01111000
00111101 => 10011110 => 01111001
00111110 => 00011111 => 11111000
00111111 => 10011111 => 11111001
01000000 => 00100000 => 00000100
01000001 => 10100000 => 00000101
01000010 => 00100001 => 10000100
01000011 => 10100001 => 10000101
01000100 => 00100010 => 01000100
01000101 => 10100010 => 01000101
01000110 => 00100011 => 11000100
01000111 => 10100011 => 11000101
01001000 => 00100100 => 00100100
01001001 => 10100100 => 00100101
01001010 => 00100101 => 10100100
01001011 => 10100101 => 10100101
01001100 => 00100110 => 01100100
01001101 => 10100110 => 01100101
01001110 => 00100111 => 11100100
01001111 => 10100111 => 11100101
01010000 => 00101000 => 00010100
01010001 => 10101000 => 00010101
01010010 => 00101001 => 10010100
01010011 => 10101001 => 10010101
01010100 => 00101010 => 01010100
01010101 => 10101010 => 01010101
01010110 => 00101011 => 11010100
01010111 => 10101011 => 11010101
01011000 => 00101100 => 00110100
01011001 => 10101100 => 00110101
01011010 => 00101101 => 10110100
01011011 => 10101101 => 10110101
01011100 => 00101110 => 01110100
01011101 => 10101110 => 01110101
01011110 => 00101111 => 11110100
01011111 => 10101111 => 11110101
01100000 => 00110000 => 00001100
01100001 => 10110000 => 00001101
01100010 => 00110001 => 10001100
01100011 => 10110001 => 10001101
01100100 => 00110010 => 01001100
01100101 => 10110010 => 01001101
01100110 => 00110011 => 11001100
01100111 => 10110011 => 11001101
01101000 => 00110100 => 00101100
01101001 => 10110100 => 00101101
01101010 => 00110101 => 10101100
01101011 => 10110101 => 10101101
01101100 => 00110110 => 01101100
01101101 => 10110110 => 01101101
01101110 => 00110111 => 11101100
01101111 => 10110111 => 11101101
01110000 => 00111000 => 00011100
01110001 => 10111000 => 00011101
01110010 => 00111001 => 10011100
01110011 => 10111001 => 10011101
01110100 => 00111010 => 01011100
01110101 => 10111010 => 01011101
01110110 => 00111011 => 11011100
01110111 => 10111011 => 11011101
01111000 => 00111100 => 00111100
01111001 => 10111100 => 00111101
01111010 => 00111101 => 10111100
01111011 => 10111101 => 10111101
01111100 => 00111110 => 01111100
01111101 => 10111110 => 01111101
01111110 => 00111111 => 11111100
01111111 => 10111111 => 11111101
10000000 => 01000000 => 00000010
10000001 => 11000000 => 00000011
10000010 => 01000001 => 10000010
10000011 => 11000001 => 10000011
10000100 => 01000010 => 01000010
10000101 => 11000010 => 01000011
10000110 => 01000011 => 11000010
10000111 => 11000011 => 11000011
10001000 => 01000100 => 00100010
10001001 => 11000100 => 00100011
10001010 => 01000101 => 10100010
10001011 => 11000101 => 10100011
10001100 => 01000110 => 01100010
10001101 => 11000110 => 01100011
10001110 => 01000111 => 11100010
10001111 => 11000111 => 11100011
10010000 => 01001000 => 00010010
10010001 => 11001000 => 00010011
10010010 => 01001001 => 10010010
10010011 => 11001001 => 10010011
10010100 => 01001010 => 01010010
10010101 => 11001010 => 01010011
10010110 => 01001011 => 11010010
10010111 => 11001011 => 11010011
10011000 => 01001100 => 00110010
10011001 => 11001100 => 00110011
10011010 => 01001101 => 10110010
10011011 => 11001101 => 10110011
10011100 => 01001110 => 01110010
10011101 => 11001110 => 01110011
10011110 => 01001111 => 11110010
10011111 => 11001111 => 11110011
10100000 => 01010000 => 00001010
10100001 => 11010000 => 00001011
10100010 => 01010001 => 10001010
10100011 => 11010001 => 10001011
10100100 => 01010010 => 01001010
10100101 => 11010010 => 01001011
10100110 => 01010011 => 11001010
10100111 => 11010011 => 11001011
10101000 => 01010100 => 00101010
10101001 => 11010100 => 00101011
10101010 => 01010101 => 10101010
10101011 => 11010101 => 10101011
10101100 => 01010110 => 01101010
10101101 => 11010110 => 01101011
10101110 => 01010111 => 11101010
10101111 => 11010111 => 11101011
10110000 => 01011000 => 00011010
10110001 => 11011000 => 00011011
10110010 => 01011001 => 10011010
10110011 => 11011001 => 10011011
10110100 => 01011010 => 01011010
10110101 => 11011010 => 01011011
10110110 => 01011011 => 11011010
10110111 => 11011011 => 11011011
10111000 => 01011100 => 00111010
10111001 => 11011100 => 00111011
10111010 => 01011101 => 10111010
10111011 => 11011101 => 10111011
10111100 => 01011110 => 01111010
10111101 => 11011110 => 01111011
10111110 => 01011111 => 11111010
10111111 => 11011111 => 11111011
11000000 => 01100000 => 00000110
11000001 => 11100000 => 00000111
11000010 => 01100001 => 10000110
11000011 => 11100001 => 10000111
11000100 => 01100010 => 01000110
11000101 => 11100010 => 01000111
11000110 => 01100011 => 11000110
11000111 => 11100011 => 11000111
11001000 => 01100100 => 00100110
11001001 => 11100100 => 00100111
11001010 => 01100101 => 10100110
11001011 => 11100101 => 10100111
11001100 => 01100110 => 01100110
11001101 => 11100110 => 01100111
11001110 => 01100111 => 11100110
11001111 => 11100111 => 11100111
11010000 => 01101000 => 00010110
11010001 => 11101000 => 00010111
11010010 => 01101001 => 10010110
11010011 => 11101001 => 10010111
11010100 => 01101010 => 01010110
11010101 => 11101010 => 01010111
11010110 => 01101011 => 11010110
11010111 => 11101011 => 11010111
11011000 => 01101100 => 00110110
11011001 => 11101100 => 00110111
11011010 => 01101101 => 10110110
11011011 => 11101101 => 10110111
11011100 => 01101110 => 01110110
11011101 => 11101110 => 01110111
11011110 => 01101111 => 11110110
11011111 => 11101111 => 11110111
11100000 => 01110000 => 00001110
11100001 => 11110000 => 00001111
11100010 => 01110001 => 10001110
11100011 => 11110001 => 10001111
11100100 => 01110010 => 01001110
11100101 => 11110010 => 01001111
11100110 => 01110011 => 11001110
11100111 => 11110011 => 11001111
11101000 => 01110100 => 00101110
11101001 => 11110100 => 00101111
11101010 => 01110101 => 10101110
11101011 => 11110101 => 10101111
11101100 => 01110110 => 01101110
11101101 => 11110110 => 01101111
11101110 => 01110111 => 11101110
11101111 => 11110111 => 11101111
11110000 => 01111000 => 00011110
11110001 => 11111000 => 00011111
11110010 => 01111001 => 10011110
11110011 => 11111001 => 10011111
11110100 => 01111010 => 01011110
11110101 => 11111010 => 01011111
11110110 => 01111011 => 11011110
11110111 => 11111011 => 11011111
11111000 => 01111100 => 00111110
11111001 => 11111100 => 00111111
11111010 => 01111101 => 10111110
11111011 => 11111101 => 10111111
11111100 => 01111110 => 01111110
11111101 => 11111110 => 01111111
11111110 => 01111111 => 11111110
11111111 => 11111111 => 11111111
000000000 => 000000000 => 000000000
000000001 => 100000000 => 000000001
000000010 => 000000001 => 100000000
000000011 => 100000001 => 100000001
000000100 => 000000010 => 010000000
000000101 => 100000010 => 010000001
000000110 => 000000011 => 110000000
000000111 => 100000011 => 110000001
000001000 => 000000100 => 001000000
000001001 => 100000100 => 001000001
000001010 => 000000101 => 101000000
000001011 => 100000101 => 101000001
000001100 => 000000110 => 011000000
000001101 => 100000110 => 011000001
000001110 => 000000111 => 111000000
000001111 => 100000111 => 111000001
000010000 => 000001000 => 000100000
000010001 => 100001000 => 000100001
000010010 => 000001001 => 100100000
000010011 => 100001001 => 100100001
000010100 => 000001010 => 010100000
000010101 => 100001010 => 010100001
000010110 => 000001011 => 110100000
000010111 => 100001011 => 110100001
000011000 => 000001100 => 001100000
000011001 => 100001100 => 001100001
000011010 => 000001101 => 101100000
000011011 => 100001101 => 101100001
000011100 => 000001110 => 011100000
000011101 => 100001110 => 011100001
000011110 => 000001111 => 111100000
000011111 => 100001111 => 111100001
000100000 => 000010000 => 000010000
000100001 => 100010000 => 000010001
000100010 => 000010001 => 100010000
000100011 => 100010001 => 100010001
000100100 => 000010010 => 010010000
000100101 => 100010010 => 010010001
000100110 => 000010011 => 110010000
000100111 => 100010011 => 110010001
000101000 => 000010100 => 001010000
000101001 => 100010100 => 001010001
000101010 => 000010101 => 101010000
000101011 => 100010101 => 101010001
000101100 => 000010110 => 011010000
000101101 => 100010110 => 011010001
000101110 => 000010111 => 111010000
000101111 => 100010111 => 111010001
000110000 => 000011000 => 000110000
000110001 => 100011000 => 000110001
000110010 => 000011001 => 100110000
000110011 => 100011001 => 100110001
000110100 => 000011010 => 010110000
000110101 => 100011010 => 010110001
000110110 => 000011011 => 110110000
000110111 => 100011011 => 110110001
000111000 => 000011100 => 001110000
000111001 => 100011100 => 001110001
000111010 => 000011101 => 101110000
000111011 => 100011101 => 101110001
000111100 => 000011110 => 011110000
000111101 => 100011110 => 011110001
000111110 => 000011111 => 111110000
000111111 => 100011111 => 111110001
001000000 => 000100000 => 000001000
001000001 => 100100000 => 000001001
001000010 => 000100001 => 100001000
001000011 => 100100001 => 100001001
001000100 => 000100010 => 010001000
001000101 => 100100010 => 010001001
001000110 => 000100011 => 110001000
001000111 => 100100011 => 110001001
001001000 => 000100100 => 001001000
001001001 => 100100100 => 001001001
001001010 => 000100101 => 101001000
001001011 => 100100101 => 101001001
001001100 => 000100110 => 011001000
001001101 => 100100110 => 011001001
001001110 => 000100111 => 111001000
001001111 => 100100111 => 111001001
001010000 => 000101000 => 000101000
001010001 => 100101000 => 000101001
001010010 => 000101001 => 100101000
001010011 => 100101001 => 100101001
001010100 => 000101010 => 010101000
001010101 => 100101010 => 010101001
001010110 => 000101011 => 110101000
001010111 => 100101011 => 110101001
001011000 => 000101100 => 001101000
001011001 => 100101100 => 001101001
001011010 => 000101101 => 101101000
001011011 => 100101101 => 101101001
001011100 => 000101110 => 011101000
001011101 => 100101110 => 011101001
001011110 => 000101111 => 111101000
001011111 => 100101111 => 111101001
001100000 => 000110000 => 000011000
001100001 => 100110000 => 000011001
001100010 => 000110001 => 100011000
001100011 => 100110001 => 100011001
001100100 => 000110010 => 010011000
001100101 => 100110010 => 010011001
001100110 => 000110011 => 110011000
001100111 => 100110011 => 110011001
001101000 => 000110100 => 001011000
001101001 => 100110100 => 001011001
001101010 => 000110101 => 101011000
001101011 => 100110101 => 101011001
001101100 => 000110110 => 011011000
001101101 => 100110110 => 011011001
001101110 => 000110111 => 111011000
001101111 => 100110111 => 111011001
001110000 => 000111000 => 000111000
001110001 => 100111000 => 000111001
001110010 => 000111001 => 100111000
001110011 => 100111001 => 100111001
001110100 => 000111010 => 010111000
001110101 => 100111010 => 010111001
001110110 => 000111011 => 110111000
001110111 => 100111011 => 110111001
001111000 => 000111100 => 001111000
001111001 => 100111100 => 001111001
001111010 => 000111101 => 101111000
001111011 => 100111101 => 101111001
001111100 => 000111110 => 011111000
001111101 => 100111110 => 011111001
001111110 => 000111111 => 111111000
001111111 => 100111111 => 111111001
010000000 => 001000000 => 000000100
010000001 => 101000000 => 000000101
010000010 => 001000001 => 100000100
010000011 => 101000001 => 100000101
010000100 => 001000010 => 010000100
010000101 => 101000010 => 010000101
010000110 => 001000011 => 110000100
010000111 => 101000011 => 110000101
010001000 => 001000100 => 001000100
010001001 => 101000100 => 001000101
010001010 => 001000101 => 101000100
010001011 => 101000101 => 101000101
010001100 => 001000110 => 011000100
010001101 => 101000110 => 011000101
010001110 => 001000111 => 111000100
010001111 => 101000111 => 111000101
010010000 => 001001000 => 000100100
010010001 => 101001000 => 000100101
010010010 => 001001001 => 100100100
010010011 => 101001001 => 100100101
010010100 => 001001010 => 010100100
010010101 => 101001010 => 010100101
010010110 => 001001011 => 110100100
010010111 => 101001011 => 110100101
010011000 => 001001100 => 001100100
010011001 => 101001100 => 001100101
010011010 => 001001101 => 101100100
010011011 => 101001101 => 101100101
010011100 => 001001110 => 011100100
010011101 => 101001110 => 011100101
010011110 => 001001111 => 111100100
010011111 => 101001111 => 111100101
010100000 => 001010000 => 000010100
010100001 => 101010000 => 000010101
010100010 => 001010001 => 100010100
010100011 => 101010001 => 100010101
010100100 => 001010010 => 010010100
010100101 => 101010010 => 010010101
010100110 => 001010011 => 110010100
010100111 => 101010011 => 110010101
010101000 => 001010100 => 001010100
010101001 => 101010100 => 001010101
010101010 => 001010101 => 101010100
010101011 => 101010101 => 101010101
010101100 => 001010110 => 011010100
010101101 => 101010110 => 011010101
010101110 => 001010111 => 111010100
010101111 => 101010111 => 111010101
010110000 => 001011000 => 000110100
010110001 => 101011000 => 000110101
010110010 => 001011001 => 100110100
010110011 => 101011001 => 100110101
010110100 => 001011010 => 010110100
010110101 => 101011010 => 010110101
010110110 => 001011011 => 110110100
010110111 => 101011011 => 110110101
010111000 => 001011100 => 001110100
010111001 => 101011100 => 001110101
010111010 => 001011101 => 101110100
010111011 => 101011101 => 101110101
010111100 => 001011110 => 011110100
010111101 => 101011110 => 011110101
010111110 => 001011111 => 111110100
010111111 => 101011111 => 111110101
011000000 => 001100000 => 000001100
011000001 => 101100000 => 000001101
011000010 => 001100001 => 100001100
011000011 => 101100001 => 100001101
011000100 => 001100010 => 010001100
011000101 => 101100010 => 010001101
011000110 => 001100011 => 110001100
011000111 => 101100011 => 110001101
011001000 => 001100100 => 001001100
011001001 => 101100100 => 001001101
011001010 => 001100101 => 101001100
011001011 => 101100101 => 101001101
011001100 => 001100110 => 011001100
011001101 => 101100110 => 011001101
011001110 => 001100111 => 111001100
011001111 => 101100111 => 111001101
011010000 => 001101000 => 000101100
011010001 => 101101000 => 000101101
011010010 => 001101001 => 100101100
011010011 => 101101001 => 100101101
011010100 => 001101010 => 010101100
011010101 => 101101010 => 010101101
011010110 => 001101011 => 110101100
011010111 => 101101011 => 110101101
011011000 => 001101100 => 001101100
011011001 => 101101100 => 001101101
011011010 => 001101101 => 101101100
011011011 => 101101101 => 101101101
011011100 => 001101110 => 011101100
011011101 => 101101110 => 011101101
011011110 => 001101111 => 111101100
011011111 => 101101111 => 111101101
011100000 => 001110000 => 000011100
011100001 => 101110000 => 000011101
011100010 => 001110001 => 100011100
011100011 => 101110001 => 100011101
011100100 => 001110010 => 010011100
011100101 => 101110010 => 010011101
011100110 => 001110011 => 110011100
011100111 => 101110011 => 110011101
011101000 => 001110100 => 001011100
011101001 => 101110100 => 001011101
011101010 => 001110101 => 101011100
011101011 => 101110101 => 101011101
011101100 => 001110110 => 011011100
011101101 => 101110110 => 011011101
011101110 => 001110111 => 111011100
011101111 => 101110111 => 111011101
011110000 => 001111000 => 000111100
011110001 => 101111000 => 000111101
011110010 => 001111001 => 100111100
011110011 => 101111001 => 100111101
011110100 => 001111010 => 010111100
011110101 => 101111010 => 010111101
011110110 => 001111011 => 110111100
011110111 => 101111011 => 110111101
011111000 => 001111100 => 001111100
011111001 => 101111100 => 001111101
011111010 => 001111101 => 101111100
011111011 => 101111101 => 101111101
011111100 => 001111110 => 011111100
011111101 => 101111110 => 011111101
011111110 => 001111111 => 111111100
011111111 => 101111111 => 111111101
100000000 => 010000000 => 000000010
100000001 => 110000000 => 000000011
100000010 => 010000001 => 100000010
100000011 => 110000001 => 100000011
100000100 => 010000010 => 010000010
100000101 => 110000010 => 010000011
100000110 => 010000011 => 110000010
100000111 => 110000011 => 110000011
100001000 => 010000100 => 001000010
100001001 => 110000100 => 001000011
100001010 => 010000101 => 101000010
100001011 => 110000101 => 101000011
100001100 => 010000110 => 011000010
100001101 => 110000110 => 011000011
100001110 => 010000111 => 111000010
100001111 => 110000111 => 111000011
100010000 => 010001000 => 000100010
100010001 => 110001000 => 000100011
100010010 => 010001001 => 100100010
100010011 => 110001001 => 100100011
100010100 => 010001010 => 010100010
100010101 => 110001010 => 010100011
100010110 => 010001011 => 110100010
100010111 => 110001011 => 110100011
100011000 => 010001100 => 001100010
100011001 => 110001100 => 001100011
100011010 => 010001101 => 101100010
100011011 => 110001101 => 101100011
100011100 => 010001110 => 011100010
100011101 => 110001110 => 011100011
100011110 => 010001111 => 111100010
100011111 => 110001111 => 111100011
100100000 => 010010000 => 000010010
100100001 => 110010000 => 000010011
100100010 => 010010001 => 100010010
100100011 => 110010001 => 100010011
100100100 => 010010010 => 010010010
100100101 => 110010010 => 010010011
100100110 => 010010011 => 110010010
100100111 => 110010011 => 110010011
100101000 => 010010100 => 001010010
100101001 => 110010100 => 001010011
100101010 => 010010101 => 101010010
100101011 => 110010101 => 101010011
100101100 => 010010110 => 011010010
100101101 => 110010110 => 011010011
100101110 => 010010111 => 111010010
100101111 => 110010111 => 111010011
100110000 => 010011000 => 000110010
100110001 => 110011000 => 000110011
100110010 => 010011001 => 100110010
100110011 => 110011001 => 100110011
100110100 => 010011010 => 010110010
100110101 => 110011010 => 010110011
100110110 => 010011011 => 110110010
100110111 => 110011011 => 110110011
100111000 => 010011100 => 001110010
100111001 => 110011100 => 001110011
100111010 => 010011101 => 101110010
100111011 => 110011101 => 101110011
100111100 => 010011110 => 011110010
100111101 => 110011110 => 011110011
100111110 => 010011111 => 111110010
100111111 => 110011111 => 111110011
101000000 => 010100000 => 000001010
101000001 => 110100000 => 000001011
101000010 => 010100001 => 100001010
101000011 => 110100001 => 100001011
101000100 => 010100010 => 010001010
101000101 => 110100010 => 010001011
101000110 => 010100011 => 110001010
101000111 => 110100011 => 110001011
101001000 => 010100100 => 001001010
101001001 => 110100100 => 001001011
101001010 => 010100101 => 101001010
101001011 => 110100101 => 101001011
101001100 => 010100110 => 011001010
101001101 => 110100110 => 011001011
101001110 => 010100111 => 111001010
101001111 => 110100111 => 111001011
101010000 => 010101000 => 000101010
101010001 => 110101000 => 000101011
101010010 => 010101001 => 100101010
101010011 => 110101001 => 100101011
101010100 => 010101010 => 010101010
101010101 => 110101010 => 010101011
101010110 => 010101011 => 110101010
101010111 => 110101011 => 110101011
101011000 => 010101100 => 001101010
101011001 => 110101100 => 001101011
101011010 => 010101101 => 101101010
101011011 => 110101101 => 101101011
101011100 => 010101110 => 011101010
101011101 => 110101110 => 011101011
101011110 => 010101111 => 111101010
101011111 => 110101111 => 111101011
101100000 => 010110000 => 000011010
101100001 => 110110000 => 000011011
101100010 => 010110001 => 100011010
101100011 => 110110001 => 100011011
101100100 => 010110010 => 010011010
101100101 => 110110010 => 010011011
101100110 => 010110011 => 110011010
101100111 => 110110011 => 110011011
101101000 => 010110100 => 001011010
101101001 => 110110100 => 001011011
101101010 => 010110101 => 101011010
101101011 => 110110101 => 101011011
101101100 => 010110110 => 011011010
101101101 => 110110110 => 011011011
101101110 => 010110111 => 111011010
101101111 => 110110111 => 111011011
101110000 => 010111000 => 000111010
101110001 => 110111000 => 000111011
101110010 => 010111001 => 100111010
101110011 => 110111001 => 100111011
101110100 => 010111010 => 010111010
101110101 => 110111010 => 010111011
101110110 => 010111011 => 110111010
101110111 => 110111011 => 110111011
101111000 => 010111100 => 001111010
101111001 => 110111100 => 001111011
101111010 => 010111101 => 101111010
101111011 => 110111101 => 101111011
101111100 => 010111110 => 011111010
101111101 => 110111110 => 011111011
101111110 => 010111111 => 111111010
101111111 => 110111111 => 111111011
110000000 => 011000000 => 000000110
110000001 => 111000000 => 000000111
110000010 => 011000001 => 100000110
110000011 => 111000001 => 100000111
110000100 => 011000010 => 010000110
110000101 => 111000010 => 010000111
110000110 => 011000011 => 110000110
110000111 => 111000011 => 110000111
110001000 => 011000100 => 001000110
110001001 => 111000100 => 001000111
110001010 => 011000101 => 101000110
110001011 => 111000101 => 101000111
110001100 => 011000110 => 011000110
110001101 => 111000110 => 011000111
110001110 => 011000111 => 111000110
110001111 => 111000111 => 111000111
110010000 => 011001000 => 000100110
110010001 => 111001000 => 000100111
110010010 => 011001001 => 100100110
110010011 => 111001001 => 100100111
110010100 => 011001010 => 010100110
110010101 => 111001010 => 010100111
110010110 => 011001011 => 110100110
110010111 => 111001011 => 110100111
110011000 => 011001100 => 001100110
110011001 => 111001100 => 001100111
110011010 => 011001101 => 101100110
110011011 => 111001101 => 101100111
110011100 => 011001110 => 011100110
110011101 => 111001110 => 011100111
110011110 => 011001111 => 111100110
110011111 => 111001111 => 111100111
110100000 => 011010000 => 000010110
110100001 => 111010000 => 000010111
110100010 => 011010001 => 100010110
110100011 => 111010001 => 100010111
110100100 => 011010010 => 010010110
110100101 => 111010010 => 010010111
110100110 => 011010011 => 110010110
110100111 => 111010011 => 110010111
110101000 => 011010100 => 001010110
110101001 => 111010100 => 001010111
110101010 => 011010101 => 101010110
110101011 => 111010101 => 101010111
110101100 => 011010110 => 011010110
110101101 => 111010110 => 011010111
110101110 => 011010111 => 111010110
110101111 => 111010111 => 111010111
110110000 => 011011000 => 000110110
110110001 => 111011000 => 000110111
110110010 => 011011001 => 100110110
110110011 => 111011001 => 100110111
110110100 => 011011010 => 010110110
110110101 => 111011010 => 010110111
110110110 => 011011011 => 110110110
110110111 => 111011011 => 110110111
110111000 => 011011100 => 001110110
110111001 => 111011100 => 001110111
110111010 => 011011101 => 101110110
110111011 => 111011101 => 101110111
110111100 => 011011110 => 011110110
110111101 => 111011110 => 011110111
110111110 => 011011111 => 111110110
110111111 => 111011111 => 111110111
111000000 => 011100000 => 000001110
111000001 => 111100000 => 000001111
111000010 => 011100001 => 100001110
111000011 => 111100001 => 100001111
111000100 => 011100010 => 010001110
111000101 => 111100010 => 010001111
111000110 => 011100011 => 110001110
111000111 => 111100011 => 110001111
111001000 => 011100100 => 001001110
111001001 => 111100100 => 001001111
111001010 => 011100101 => 101001110
111001011 => 111100101 => 101001111
111001100 => 011100110 => 011001110
111001101 => 111100110 => 011001111
111001110 => 011100111 => 111001110
111001111 => 111100111 => 111001111
111010000 => 011101000 => 000101110
111010001 => 111101000 => 000101111
111010010 => 011101001 => 100101110
111010011 => 111101001 => 100101111
111010100 => 011101010 => 010101110
111010101 => 111101010 => 010101111
111010110 => 011101011 => 110101110
111010111 => 111101011 => 110101111
111011000 => 011101100 => 001101110
111011001 => 111101100 => 001101111
111011010 => 011101101 => 101101110
111011011 => 111101101 => 101101111
111011100 => 011101110 => 011101110
111011101 => 111101110 => 011101111
111011110 => 011101111 => 111101110
111011111 => 111101111 => 111101111
111100000 => 011110000 => 000011110
111100001 => 111110000 => 000011111
111100010 => 011110001 => 100011110
111100011 => 111110001 => 100011111
111100100 => 011110010 => 010011110
111100101 => 111110010 => 010011111
111100110 => 011110011 => 110011110
111100111 => 111110011 => 110011111
111101000 => 011110100 => 001011110
111101001 => 111110100 => 001011111
111101010 => 011110101 => 101011110
111101011 => 111110101 => 101011111
111101100 => 011110110 => 011011110
111101101 => 111110110 => 011011111
111101110 => 011110111 => 111011110
111101111 => 111110111 => 111011111
111110000 => 011111000 => 000111110
111110001 => 111111000 => 000111111
111110010 => 011111001 => 100111110
111110011 => 111111001 => 100111111
111110100 => 011111010 => 010111110
111110101 => 111111010 => 010111111
111110110 => 011111011 => 110111110
111110111 => 111111011 => 110111111
111111000 => 011111100 => 001111110
111111001 => 111111100 => 001111111
111111010 => 011111101 => 101111110
111111011 => 111111101 => 101111111
111111100 => 011111110 => 011111110
111111101 => 111111110 => 011111111
111111110 => 011111111 => 111111110
111111111 => 111111111 => 111111111
1010101010 => 0101010101 => 1010101010
1010101100 => 0101010110 => 0110101010
1010110010 => 0101011001 => 1001101010
1010110100 => 0101011010 => 0101101010
1010111000 => 0101011100 => 0011101010
1011001010 => 0101100101 => 1010011010
1011001100 => 0101100110 => 0110011010
1011010010 => 0101101001 => 1001011010
1011010100 => 0101101010 => 0101011010
1011011000 => 0101101100 => 0011011010
1011100010 => 0101110001 => 1000111010
1011100100 => 0101110010 => 0100111010
1011101000 => 0101110100 => 0010111010
1011110000 => 0101111000 => 0001111010
1100101010 => 0110010101 => 1010100110
1100101100 => 0110010110 => 0110100110
1100110010 => 0110011001 => 1001100110
1100110100 => 0110011010 => 0101100110
1100111000 => 0110011100 => 0011100110
1101001010 => 0110100101 => 1010010110
1101001100 => 0110100110 => 0110010110
1101010010 => 0110101001 => 1001010110
1101010100 => 0110101010 => 0101010110
1101011000 => 0110101100 => 0011010110
1101100010 => 0110110001 => 1000110110
1101100100 => 0110110010 => 0100110110
1101101000 => 0110110100 => 0010110110
1101110000 => 0110111000 => 0001110110
1110001010 => 0111000101 => 1010001110
1110001100 => 0111000110 => 0110001110
1110010010 => 0111001001 => 1001001110
1110010100 => 0111001010 => 0101001110
1110011000 => 0111001100 => 0011001110
1110100010 => 0111010001 => 1000101110
1110100100 => 0111010010 => 0100101110
1110101000 => 0111010100 => 0010101110
1110110000 => 0111011000 => 0001101110
1111000010 => 0111100001 => 1000011110
1111000100 => 0111100010 => 0100011110
1111001000 => 0111100100 => 0010011110
1111010000 => 0111101000 => 0001011110
1111100000 => 0111110000 => 0000111110
101010101010 => 010101010101 => 101010101010
101010101100 => 010101010110 => 011010101010
101010110010 => 010101011001 => 100110101010
101010110100 => 010101011010 => 010110101010
101010111000 => 010101011100 => 001110101010
101011001010 => 010101100101 => 101001101010
101011010010 => 010101101001 => 100101101010
101011010100 => 010101101010 => 010101101010
101011011000 => 010101101100 => 001101101010
101011100010 => 010101110001 => 100011101010
101011100100 => 010101110010 => 010011101010
101011101000 => 010101110100 => 001011101010
101011110000 => 010101111000 => 000111101010
101100101010 => 010110010101 => 101010011010
101100101100 => 010110010110 => 011010011010
101100110010 => 010110011001 => 100110011010
101100110100 => 010110011010 => 010110011010
101100111000 => 010110011100 => 001110011010
101101001010 => 010110100101 => 101001011010
101101001100 => 010110100110 => 011001011010
101101010010 => 010110101001 => 100101011010
101101010100 => 010110101010 => 010101011010
101101011000 => 010110101100 => 001101011010
101101100010 => 010110110001 => 100011011010
101101100100 => 010110110010 => 010011011010
101101101000 => 010110110100 => 001011011010
101101110000 => 010110111000 => 000111011010
101110001010 => 010111000101 => 101000111010
101110010010 => 010111001001 => 100100111010
101110010100 => 010111001010 => 010100111010
101110011000 => 010111001100 => 001100111010
101110100010 => 010111010001 => 100010111010
101110100100 => 010111010010 => 010010111010
101110101000 => 010111010100 => 001010111010
101110110000 => 010111011000 => 000110111010
101111000010 => 010111100001 => 100001111010
101111000100 => 010111100010 => 010001111010
101111001000 => 010111100100 => 001001111010
101111010000 => 010111101000 => 000101111010
101111100000 => 010111110000 => 000011111010
110010101010 => 011001010101 => 101010100110
110010101100 => 011001010110 => 011010100110
110010110010 => 011001011001 => 100110100110
110010110100 => 011001011010 => 010110100110
110010111000 => 011001011100 => 001110100110
110011001010 => 011001100101 => 101001100110
110011001100 => 011001100110 => 011001100110
110011010010 => 011001101001 => 100101100110
110011011000 => 011001101100 => 001101100110
110011100010 => 011001110001 => 100011100110
110011100100 => 011001110010 => 010011100110
110011101000 => 011001110100 => 001011100110
110011110000 => 011001111000 => 000111100110
110100101010 => 011010010101 => 101010010110
110100101100 => 011010010110 => 011010010110
110100110010 => 011010011001 => 100110010110
110100110100 => 011010011010 => 010110010110
110100111000 => 011010011100 => 001110010110
110101001010 => 011010100101 => 101001010110
110101001100 => 011010100110 => 011001010110
110101010010 => 011010101001 => 100101010110
110101010100 => 011010101010 => 010101010110
110101011000 => 011010101100 => 001101010110
110101100010 => 011010110001 => 100011010110
110101100100 => 011010110010 => 010011010110
110101101000 => 011010110100 => 001011010110
110101110000 => 011010111000 => 000111010110
110110001010 => 011011000101 => 101000110110
110110001100 => 011011000110 => 011000110110
110110010010 => 011011001001 => 100100110110
110110010100 => 011011001010 => 010100110110
110110011000 => 011011001100 => 001100110110
110110100010 => 011011010001 => 100010110110
110110100100 => 011011010010 => 010010110110
110110101000 => 011011010100 => 001010110110
110110110000 => 011011011000 => 000110110110
110111000010 => 011011100001 => 100001110110
110111000100 => 011011100010 => 010001110110
110111001000 => 011011100100 => 001001110110
110111010000 => 011011101000 => 000101110110
110111100000 => 011011110000 => 000011110110
111000101100 => 011100010110 => 011010001110
111000110010 => 011100011001 => 100110001110
111000110100 => 011100011010 => 010110001110
111000111000 => 011100011100 => 001110001110
111001001100 => 011100100110 => 011001001110
111001010010 => 011100101001 => 100101001110
111001010100 => 011100101010 => 010101001110
111001011000 => 011100101100 => 001101001110
111001100010 => 011100110001 => 100011001110
111001100100 => 011100110010 => 010011001110
111001101000 => 011100110100 => 001011001110
111001110000 => 011100111000 => 000111001110
111010001010 => 011101000101 => 101000101110
111010010010 => 011101001001 => 100100101110
111010010100 => 011101001010 => 010100101110
111010011000 => 011101001100 => 001100101110
111010100010 => 011101010001 => 100010101110
111010101000 => 011101010100 => 001010101110
111010110000 => 011101011000 => 000110101110
111011000010 => 011101100001 => 100001101110
111011000100 => 011101100010 => 010001101110
111011001000 => 011101100100 => 001001101110
111011010000 => 011101101000 => 000101101110
111011100000 => 011101110000 => 000011101110
111100001010 => 011110000101 => 101000011110
111100001100 => 011110000110 => 011000011110
111100010010 => 011110001001 => 100100011110
111100010100 => 011110001010 => 010100011110
111100011000 => 011110001100 => 001100011110
111100100010 => 011110010001 => 100010011110
111100100100 => 011110010010 => 010010011110
111100101000 => 011110010100 => 001010011110
111100110000 => 011110011000 => 000110011110
111101000010 => 011110100001 => 100001011110
111101000100 => 011110100010 => 010001011110
111101001000 => 011110100100 => 001001011110
111101010000 => 011110101000 => 000101011110
111101100000 => 011110110000 => 000011011110
111110000010 => 011111000001 => 100000111110
111110000100 => 011111000010 => 010000111110
111110001000 => 011111000100 => 001000111110
111110010000 => 011111001000 => 000100111110
111110100000 => 011111010000 => 000010111110
111111000000 => 011111100000 => 000001111110
10101110101000 => 01010111010100 => 00101011101010
10101110110000 => 01010111011000 => 00011011101010
10101111001000 => 01010111100100 => 00100111101010
10101111010000 => 01010111101000 => 00010111101010
10101111100000 => 01010111110000 => 00001111101010
10110111001000 => 01011011100100 => 00100111011010
10110111010000 => 01011011101000 => 00010111011010
10110111100000 => 01011011110000 => 00001111011010
10111100011000 => 01011110001100 => 00110001111010
10111100110000 => 01011110011000 => 00011001111010
10111101100000 => 01011110110000 => 00001101111010
10111110001000 => 01011111000100 => 00100011111010
10111110010000 => 01011111001000 => 00010011111010
10111110100000 => 01011111010000 => 00001011111010
10111111000000 => 01011111100000 => 00000111111010
11001101110000 => 01100110111000 => 00011101100110
11001110110000 => 01100111011000 => 00011011100110
11001111010000 => 01100111101000 => 00010111100110
11001111100000 => 01100111110000 => 00001111100110
11010111010000 => 01101011101000 => 00010111010110
11010111100000 => 01101011110000 => 00001111010110
11011100110000 => 01101110011000 => 00011001110110
11011101100000 => 01101110110000 => 00001101110110
11011110010000 => 01101111001000 => 00010011110110
11011110100000 => 01101111010000 => 00001011110110
11011111000000 => 01101111100000 => 00000111110110
11100111100000 => 01110011110000 => 00001111001110
11101101100000 => 01110110110000 => 00001101101110
11101110100000 => 01110111010000 => 00001011101110
11101111000000 => 01110111100000 => 00000111101110
11110111000000 => 01111011100000 => 00000111011110
11111100000100 => 01111110000010 => 01000001111110
11111100001000 => 01111110000100 => 00100001111110
11111100010000 => 01111110001000 => 00010001111110
11111100100000 => 01111110010000 => 00001001111110
11111101000000 => 01111110100000 => 00000101111110
11111110000000 => 01111111000000 => 00000011111110
1110111011000000 => 0111011101100000 => 0000011011101110
1111011011000000 => 0111101101100000 => 0000011011011110
1111011110000000 => 0111101111000000 => 0000001111011110
1111101110000000 => 0111110111000000 => 0000001110111110
1111111000000100 => 0111111100000010 => 0100000011111110
1111111000001000 => 0111111100000100 => 0010000011111110
1111111000010000 => 0111111100001000 => 0001000011111110
1111111000100000 => 0111111100010000 => 0000100011111110
1111111001000000 => 0111111100100000 => 0000010011111110
1111111010000000 => 0111111101000000 => 0000001011111110
1111111100000000 => 0111111110000000 => 0000000111111110
1111111111 => 1111111111 => 1111111111
1111111110 => 0111111111 => 1111111110
1111111101 => 1111111110 => 0111111111
1111111100 => 0111111110 => 0111111110
1111111011 => 1111111101 => 1011111111
1111111001 => 1111111100 => 0011111111
1111110110 => 0111111011 => 1101111110
1111110101 => 1111111010 => 0101111111
1111110011 => 1111111001 => 1001111111
1111110001 => 1111111000 => 0001111111
1111110000 => 0111111000 => 0001111110
1111101101 => 1111110110 => 0110111111
1111101011 => 1111110101 => 1010111111
1111101001 => 1111110100 => 0010111111
1111100111 => 1111110011 => 1100111111
1111100100 => 0111110010 => 0100111110
1111100011 => 1111110001 => 1000111111
1111100010 => 0111110001 => 1000111110
1111100001 => 1111110000 => 0000111111
1111011110 => 0111101111 => 1111011110
1111011101 => 1111101110 => 0111011111
1111011011 => 1111101101 => 1011011111
1111011000 => 0111101100 => 0011011110
1111010111 => 1111101011 => 1101011111
1111010101 => 1111101010 => 0101011111
1111010100 => 0111101010 => 0101011110
1111010011 => 1111101001 => 1001011111
1111010010 => 0111101001 => 1001011110
1111010001 => 1111101000 => 0001011111
1111001111 => 1111100111 => 1110011111
1111001100 => 0111100110 => 0110011110
1111001011 => 1111100101 => 1010011111
1111001010 => 0111100101 => 1010011110
1111001001 => 1111100100 => 0010011111
1111000111 => 1111100011 => 1100011111
1111000110 => 0111100011 => 1100011110
1111000101 => 1111100010 => 0100011111
1111000011 => 1111100001 => 1000011111
1111000001 => 1111100000 => 0000011111
1111000000 => 0111100000 => 0000011110
1110111111 => 1111011111 => 1111101111
1110111110 => 0111011111 => 1111101110
1110111101 => 1111011110 => 0111101111
1110111011 => 1111011101 => 1011101111
1110111000 => 0111011100 => 0011101110
1110110111 => 1111011011 => 1101101111
1110110101 => 1111011010 => 0101101111
1110110100 => 0111011010 => 0101101110
1110110010 => 0111011001 => 1001101110
1110110001 => 1111011000 => 0001101111
1110101111 => 1111010111 => 1110101111
1110101101 => 1111010110 => 0110101111
1110101011 => 1111010101 => 1010101111
1110101010 => 0111010101 => 1010101110
1110101001 => 1111010100 => 0010101111
1110100101 => 1111010010 => 0100101111
1110100011 => 1111010001 => 1000101111
1110100001 => 1111010000 => 0000101111
1110011111 => 1111001111 => 1111001111
1110011100 => 0111001110 => 0111001110
1110011001 => 1111001100 => 0011001111
1110010101 => 1111001010 => 0101001111
1110010011 => 1111001001 => 1001001111
1110010001 => 1111001000 => 0001001111
1110010000 => 0111001000 => 0001001110
1110001101 => 1111000110 => 0110001111
1110001001 => 1111000100 => 0010001111
1110000111 => 1111000011 => 1100001111
1110000110 => 0111000011 => 1100001110
1110000101 => 1111000010 => 0100001111
1110000100 => 0111000010 => 0100001110
1110000011 => 1111000001 => 1000001111
1110000001 => 1111000000 => 0000001111
1101111111 => 1110111111 => 1111110111
1101111110 => 0110111111 => 1111110110
1101111101 => 1110111110 => 0111110111
1101111011 => 1110111101 => 1011110111
1101111001 => 1110111100 => 0011110111
1101111000 => 0110111100 => 0011110110
1101110111 => 1110111011 => 1101110111
1101110010 => 0110111001 => 1001110110
1101110001 => 1110111000 => 0001110111
1101101111 => 1110110111 => 1110110111
1101101100 => 0110110110 => 0110110110
1101101011 => 1110110101 => 1010110111
1101101001 => 1110110100 => 0010110111
1101100110 => 0110110011 => 1100110110
1101100101 => 1110110010 => 0100110111
1101100011 => 1110110001 => 1000110111
1101100001 => 1110110000 => 0000110111
1101100000 => 0110110000 => 0000110110
1101011111 => 1110101111 => 1111010111
1101011011 => 1110101101 => 1011010111
1101011010 => 0110101101 => 1011010110
1101011001 => 1110101100 => 0011010111
1101010111 => 1110101011 => 1101010111
1101010101 => 1110101010 => 0101010111
1101010011 => 1110101001 => 1001010111
1101010001 => 1110101000 => 0001010111
1101001110 => 0110100111 => 1110010110
1101001101 => 1110100110 => 0110010111
1101001011 => 1110100101 => 1010010111
1101001001 => 1110100100 => 0010010111
1101001000 => 0110100100 => 0010010110
1101000111 => 1110100011 => 1100010111
1101000110 => 0110100011 => 1100010110
1101000101 => 1110100010 => 0100010111
1101000011 => 1110100001 => 1000010111
1101000010 => 0110100001 => 1000010110
1101000001 => 1110100000 => 0000010111
1100111111 => 1110011111 => 1111100111
1100111100 => 0110011110 => 0111100110
1100111001 => 1110011100 => 0011100111
1100110110 => 0110011011 => 1101100110
1100110101 => 1110011010 => 0101100111
1100110011 => 1110011001 => 1001100111
1100110001 => 1110011000 => 0001100111
1100110000 => 0110011000 => 0001100110
1100101110 => 0110010111 => 1110100110
1100101101 => 1110010110 => 0110100111
1100101011 => 1110010101 => 1010100111
1100100111 => 1110010011 => 1100100111
1100100110 => 0110010011 => 1100100110
1100100101 => 1110010010 => 0100100111
1100100100 => 0110010010 => 0100100110
1100100011 => 1110010001 => 1000100111
1100100001 => 1110010000 => 0000100111
1100011110 => 0110001111 => 1111000110
1100011101 => 1110001110 => 0111000111
1100011100 => 0110001110 => 0111000110
1100011011 => 1110001101 => 1011000111
1100011001 => 1110001100 => 0011000111
1100011000 => 0110001100 => 0011000110
1100010111 => 1110001011 => 1101000111
1100010101 => 1110001010 => 0101000111
1100010011 => 1110001001 => 1001000111
1100010010 => 0110001001 => 1001000110
1100001111 => 1110000111 => 1110000111
1100001110 => 0110000111 => 1110000110
1100001101 => 1110000110 => 0110000111
1100001100 => 0110000110 => 0110000110
1100001011 => 1110000101 => 1010000111
1100001010 => 0110000101 => 1010000110
1100000111 => 1110000011 => 1100000111
1100000110 => 0110000011 => 1100000110
1100000011 => 1110000001 => 1000000111
1100000001 => 1110000000 => 0000000111
1100000000 => 0110000000 => 0000000110
1011111111 => 1101111111 => 1111111011
1011111110 => 0101111111 => 1111111010
1011111101 => 1101111110 => 0111111011
1011111100 => 0101111110 => 0111111010
1011111011 => 1101111101 => 1011111011
1011111010 => 0101111101 => 1011111010
1011110111 => 1101111011 => 1101111011
1011110100 => 0101111010 => 0101111010
1011110001 => 1101111000 => 0001111011
1011101011 => 1101110101 => 1010111011
1011100101 => 1101110010 => 0100111011
1011100011 => 1101110001 => 1000111011
1011100001 => 1101110000 => 0000111011
1011100000 => 0101110000 => 0000111010
1011011111 => 1101101111 => 1111011011
1011011100 => 0101101110 => 0111011010
1011011001 => 1101101100 => 0011011011
1011010101 => 1101101010 => 0101011011
1011010011 => 1101101001 => 1001011011
1011010000 => 0101101000 => 0001011010
1011001101 => 1101100110 => 0110011011
1011001011 => 1101100101 => 1010011011
1011001001 => 1101100100 => 0010011011
1011001000 => 0101100100 => 0010011010
1011000111 => 1101100011 => 1100011011
1011000101 => 1101100010 => 0100011011
1011000100 => 0101100010 => 0100011010
1011000011 => 1101100001 => 1000011011
1011000010 => 0101100001 => 1000011010
1011000001 => 1101100000 => 0000011011
1011000000 => 0101100000 => 0000011010
1010111111 => 1101011111 => 1111101011
1010111110 => 0101011111 => 1111101010
1010110101 => 1101011010 => 0101101011
1010110011 => 1101011001 => 1001101011
1010110000 => 0101011000 => 0001101010
1010101111 => 1101010111 => 1110101011
1010101101 => 1101010110 => 0110101011
1010101011 => 1101010101 => 1010101011
1010101001 => 1101010100 => 0010101011
1010101000 => 0101010100 => 0010101010
1010100111 => 1101010011 => 1100101011
1010100110 => 0101010011 => 1100101010
1010100101 => 1101010010 => 0100101011
1010100100 => 0101010010 => 0100101010
1010100011 => 1101010001 => 1000101011
1010100010 => 0101010001 => 1000101010
1010100000 => 0101010000 => 0000101010
1010011101 => 1101001110 => 0111001011
1010011011 => 1101001101 => 1011001011
1010011010 => 0101001101 => 1011001010
1010011001 => 1101001100 => 0011001011
1010011000 => 0101001100 => 0011001010
1010010111 => 1101001011 => 1101001011
1010010110 => 0101001011 => 1101001010
1010010101 => 1101001010 => 0101001011
1010010100 => 0101001010 => 0101001010
1010010011 => 1101001001 => 1001001011
1010010010 => 0101001001 => 1001001010
1010010001 => 1101001000 => 0001001011
1010001111 => 1101000111 => 1110001011
1010001110 => 0101000111 => 1110001010
1010001101 => 1101000110 => 0110001011
1010001100 => 0101000110 => 0110001010
1010001011 => 1101000101 => 1010001011
1010001010 => 0101000101 => 1010001010
1010000111 => 1101000011 => 1100001011
1010000101 => 1101000010 => 0100001011
1010000001 => 1101000000 => 0000001011
1010000000 => 0101000000 => 0000001010
1001111111 => 1100111111 => 1111110011
1001111110 => 0100111111 => 1111110010
1001111100 => 0100111110 => 0111110010
1001111011 => 1100111101 => 1011110011
1001111001 => 1100111100 => 0011110011
1001111000 => 0100111100 => 0011110010
1001110110 => 0100111011 => 1101110010
1001110101 => 1100111010 => 0101110011
1001110100 => 0100111010 => 0101110010
1001110011 => 1100111001 => 1001110011
1001110000 => 0100111000 => 0001110010
1001101101 => 1100110110 => 0110110011
1001101100 => 0100110110 => 0110110010
1001101011 => 1100110101 => 1010110011
1001101010 => 0100110101 => 1010110010
1001101001 => 1100110100 => 0010110011
1001101000 => 0100110100 => 0010110010
1001100111 => 1100110011 => 1100110011
1001100110 => 0100110011 => 1100110010
1001100101 => 1100110010 => 0100110011
1001100100 => 0100110010 => 0100110010
1001100011 => 1100110001 => 1000110011
1001100010 => 0100110001 => 1000110010
1001100001 => 1100110000 => 0000110011
1001011110 => 0100101111 => 1111010010
1001011101 => 1100101110 => 0111010011
1001011011 => 1100101101 => 1011010011
1001011010 => 0100101101 => 1011010010
1001011001 => 1100101100 => 0011010011
1001011000 => 0100101100 => 0011010010
1001010111 => 1100101011 => 1101010011
1001010110 => 0100101011 => 1101010010
1001010101 => 1100101010 => 0101010011
1001010100 => 0100101010 => 0101010010
1001010011 => 1100101001 => 1001010011
1001010010 => 0100101001 => 1001010010
1001001111 => 1100100111 => 1110010011
1001001110 => 0100100111 => 1110010010
1001001101 => 1100100110 => 0110010011
1001001100 => 0100100110 => 0110010010
1001001011 => 1100100101 => 1010010011
1001001010 => 0100100101 => 1010010010
1001000111 => 1100100011 => 1100010011
1001000000 => 0100100000 => 0000010010
1000111101 => 1100011110 => 0111100011
1000111100 => 0100011110 => 0111100010
1000111011 => 1100011101 => 1011100011
1000111010 => 0100011101 => 1011100010
1000111001 => 1100011100 => 0011100011
1000110111 => 1100011011 => 1101100011
1000110110 => 0100011011 => 1101100010
1000110101 => 1100011010 => 0101100011
1000110100 => 0100011010 => 0101100010
1000110011 => 1100011001 => 1001100011
1000110010 => 0100011001 => 1001100010
1000110001 => 1100011000 => 0001100011
1000110000 => 0100011000 => 0001100010
1000101111 => 1100010111 => 1110100011
1000101110 => 0100010111 => 1110100010
1000101101 => 1100010110 => 0110100011
1000101100 => 0100010110 => 0110100010
1000101011 => 1100010101 => 1010100011
1000101010 => 0100010101 => 1010100010
1000100111 => 1100010011 => 1100100011
1000100101 => 1100010010 => 0100100011
1000100000 => 0100010000 => 0000100010
1000011111 => 1100001111 => 1111000011
1000011110 => 0100001111 => 1111000010
1000011101 => 1100001110 => 0111000011
1000011100 => 0100001110 => 0111000010
1000011011 => 1100001101 => 1011000011
1000011001 => 1100001100 => 0011000011
1000010111 => 1100001011 => 1101000011
1000010110 => 0100001011 => 1101000010
1000010101 => 1100001010 => 0101000011
1000010000 => 0100001000 => 0001000010
1000001111 => 1100000111 => 1110000011
1000001110 => 0100000111 => 1110000010
1000001101 => 1100000110 => 0110000011
1000001011 => 1100000101 => 1010000011
1000001010 => 0100000101 => 1010000010
1000001001 => 1100000100 => 0010000011
1000001000 => 0100000100 => 0010000010
1000000111 => 1100000011 => 1100000011
1000000101 => 1100000010 => 0100000011
1000000100 => 0100000010 => 0100000010
1000000011 => 1100000001 => 1000000011
1000000010 => 0100000001 => 1000000010
1000000001 => 1100000000 => 0000000011
1000000000 => 0100000000 => 0000000010
10000000000 => 01000000000 => 00000000010
10000000010 => 01000000001 => 10000000010
10000000110 => 01000000011 => 11000000010
10000111110 => 01000011111 => 11111000010
10011111110 => 01001111111 => 11111110010
10111111110 => 01011111111 => 11111111010
11111111110 => 01111111111 => 11111111110
10000000100 => 01000000010 => 01000000010
10000001010 => 01000000101 => 10100000010
10000010110 => 01000001011 => 11010000010
10000101110 => 01000010111 => 11101000010
100000111110 => 010000011111 => 111110000010
10001011110 => 01000101111 => 11110100010
10101111110 => 01010111111 => 11111101010
11011111110 => 01101111111 => 11111110110
100000000100 => 010000000010 => 010000000010
100001011110 => 010000101111 => 111101000010
11001111110 => 01100111111 => 11111100110
110111111110 => 011011111111 => 111111110110
10000010000 => 01000001000 => 00010000010
10000100010 => 01000010001 => 10001000010
100010011110 => 010001001111 => 111100100010
100001101110 => 010000110111 => 111011000010
10111011110 => 01011101111 => 11110111010
11110111110 => 01111011111 => 11111011110
100000010000 => 010000001000 => 000100000010
10001000010 => 01000100001 => 10000100010
10000100100 => 01000010010 => 01001000010
100000011100 => 010000001110 => 011100000010
10001001010 => 01000100101 => 10100100010
100100011110 => 010010001111 => 111100010010
100010101110 => 010001010111 => 111010100010
100001110110 => 010000111011 => 110111000010
11000011110 => 01100001111 => 11110000110
110001111110 => 011000111111 => 111111000110
10101101110 => 01010110111 => 11101101010
11011011110 => 01101101111 => 11110110110
10111101110 => 01011110111 => 11101111010
111101111110 => 011110111111 => 111111011110
10001000100 => 01000100010 => 01000100010
10000101000 => 01000010100 => 00101000010
10010001010 => 01001000101 => 10100010010
10001010010 => 01000101001 => 10010100010
101000011110 => 010100001111 => 111100001010
100100101110 => 010010010111 => 111010010010
100011001110 => 010001100111 => 111001100010
100010110110 => 010001011011 => 110110100010
100001111010 => 010000111101 => 101111000010
11000101110 => 01100010111 => 11101000110
10110101110 => 01011010111 => 11101011010
10101110110 => 01010111011 => 11011101010
11101011110 => 01110101111 => 11110101110
11011101110 => 01101110111 => 11101110110
11111101110 => 01111110111 => 11101111110
100001000000 => 010000100000 => 000001000010
10010000000 => 01001000000 => 00000010010
10010000100 => 01001000010 => 01000010010
10001001000 => 01000100100 => 00100100010
100001001100 => 010000100110 => 011001000010
100000110100 => 010000011010 => 010110000010
10010010010 => 01001001001 => 10010010010
10001010100 => 01000101010 => 01010100010
110000011110 => 011000001111 => 111100000110
101000101110 => 010100010111 => 111010001010
10010101010 => 01001010101 => 10101010010
100101001110 => 010010100111 => 111001010010
100100110110 => 010010011011 => 110110010010
100011010110 => 010001101011 => 110101100010
100010111010 => 010001011101 => 101110100010
100001111100 => 010000111110 => 011111000010
10101010110 => 01010101011 => 11010101010
11010101110 => 01101010111 => 11101010110
110100111110 => 011010011111 => 111110010110
110011011110 => 011001101111 => 111101100110
10110110110 => 01011011011 => 11011011010
11101101110 => 01110110111 => 11101101110
11011110110 => 01101111011 => 11011110110
10111111010 => 01011111101 => 10111111010
111111011110 => 011111101111 => 111101111110
10100000000 => 01010000000 => 00000001010
10010001000 => 01001000100 => 00100010010
10100010010 => 01010001001 => 10010001010
10010100010 => 01001010001 => 10001010010
10010010100 => 01001001010 => 01010010010
10100101010 => 01010010101 => 10101001010
101001001110 => 010100100111 => 111001001010
101000110110 => 010100011011 => 110110001010
100110001110 => 010011000111 => 111000110010
100101010110 => 010010101011 => 110101010010
100100111010 => 010010011101 => 101110010010
100011100110 => 010001110011 => 110011100010
100011011010 => 010001101101 => 101101100010
11010001110 => 01101000111 => 11100010110
10101011010 => 01010101101 => 10110101010
11010110110 => 01101011011 => 11011010110
10111010110 => 01011101011 => 11010111010
10110111010 => 01011011101 => 10111011010
11101110110 => 01110111011 => 11011101110
10111111100 => 01011111110 => 01111111010
0111111111 => 1011111111 => 1111111101
0111111101 => 1011111110 => 0111111101
0111111001 => 1011111100 => 0011111101
0111110001 => 1011111000 => 0001111101
0111100001 => 1011110000 => 0000111101
0111000001 => 1011100000 => 0000011101
0110000001 => 1011000000 => 0000001101
0100000001 => 1010000000 => 0000000101
0000000001 => 1000000000 => 0000000001
01111111111 => 10111111111 => 11111111101
01111111101 => 10111111110 => 01111111101
0111111011 => 1011111101 => 1011111101
01111111001 => 10111111100 => 00111111101
0111110101 => 1011111010 => 0101111101
0111101001 => 1011110100 => 0010111101
01111100001 => 10111110000 => 00001111101
0111010001 => 1011101000 => 0001011101
01111000001 => 10111100000 => 00000111101
0110100001 => 1011010000 => 0000101101
01110000001 => 10111000000 => 00000011101
0101000001 => 1010100000 => 0000010101
01100000001 => 10110000000 => 00000001101
0010000001 => 1001000000 => 0000001001
01000000001 => 10100000000 => 00000000101
00000000001 => 10000000000 => 00000000001
0101010101 => 1010101010 => 0101010101
0101010011 => 1010101001 => 1001010101
0101001101 => 1010100110 => 0110010101
0101001011 => 1010100101 => 1010010101
0101000111 => 1010100011 => 1100010101
0100110101 => 1010011010 => 0101100101
0100110011 => 1010011001 => 1001100101
0100101101 => 1010010110 => 0110100101
0100101011 => 1010010101 => 1010100101
0100100111 => 1010010011 => 1100100101
0100011101 => 1010001110 => 0111000101
0100011011 => 1010001101 => 1011000101
0100010111 => 1010001011 => 1101000101
0100001111 => 1010000111 => 1110000101
0011010101 => 1001101010 => 0101011001
0011010011 => 1001101001 => 1001011001
0011001101 => 1001100110 => 0110011001
0011001011 => 1001100101 => 1010011001
0011000111 => 1001100011 => 1100011001
0010110101 => 1001011010 => 0101101001
0010110011 => 1001011001 => 1001101001
0010101101 => 1001010110 => 0110101001
0010101011 => 1001010101 => 1010101001
0010100111 => 1001010011 => 1100101001
0010011101 => 1001001110 => 0111001001
0010011011 => 1001001101 => 1011001001
0010010111 => 1001001011 => 1101001001
0010001111 => 1001000111 => 1110001001
0001110101 => 1000111010 => 0101110001
0001110011 => 1000111001 => 1001110001
0001101101 => 1000110110 => 0110110001
0001101011 => 1000110101 => 1010110001
0001100111 => 1000110011 => 1100110001
0001011101 => 1000101110 => 0111010001
0001011011 => 1000101101 => 1011010001
0001010111 => 1000101011 => 1101010001
0001001111 => 1000100111 => 1110010001
0000111101 => 1000011110 => 0111100001
0000111011 => 1000011101 => 1011100001
0000110111 => 1000011011 => 1101100001
0000101111 => 1000010111 => 1110100001
0000011111 => 1000001111 => 1111000001
010101010101 => 101010101010 => 010101010101
010101010011 => 101010101001 => 100101010101
010101001101 => 101010100110 => 011001010101
010101001011 => 101010100101 => 101001010101
010100110101 => 101010011010 => 010110010101
010100101101 => 101010010110 => 011010010101
010100101011 => 101010010101 => 101010010101
010100100111 => 101010010011 => 110010010101
010100011101 => 101010001110 => 011100010101
010100011011 => 101010001101 => 101100010101
010100010111 => 101010001011 => 110100010101
010100001111 => 101010000111 => 111000010101
010011010011 => 101001101001 => 100101100101
010011001101 => 101001100110 => 011001100101
010011001011 => 101001100101 => 101001100101
010011000111 => 101001100011 => 110001100101
010010110101 => 101001011010 => 010110100101
010010110011 => 101001011001 => 100110100101
010010101101 => 101001010110 => 011010100101
010010101011 => 101001010101 => 101010100101
010010100111 => 101001010011 => 110010100101
010010011101 => 101001001110 => 011100100101
010010011011 => 101001001101 => 101100100101
010010010111 => 101001001011 => 110100100101
010010001111 => 101001000111 => 111000100101
010001110101 => 101000111010 => 010111000101
010001110011 => 101000111001 => 100111000101
010001101101 => 101000110110 => 011011000101
010001101011 => 101000110101 => 101011000101
010001100111 => 101000110011 => 110011000101
010001011101 => 101000101110 => 011101000101
010001011011 => 101000101101 => 101101000101
010001010111 => 101000101011 => 110101000101
010001001111 => 101000100111 => 111001000101
010000111101 => 101000011110 => 011110000101
010000111011 => 101000011101 => 101110000101
010000110111 => 101000011011 => 110110000101
010000101111 => 101000010111 => 111010000101
010000011111 => 101000001111 => 111100000101
001101010101 => 100110101010 => 010101011001
001101010011 => 100110101001 => 100101011001
001101001101 => 100110100110 => 011001011001
001101001011 => 100110100101 => 101001011001
001101000111 => 100110100011 => 110001011001
001100110101 => 100110011010 => 010110011001
001100110011 => 100110011001 => 100110011001
001100101101 => 100110010110 => 011010011001
001100100111 => 100110010011 => 110010011001
001100011101 => 100110001110 => 011100011001
001100011011 => 100110001101 => 101100011001
001100010111 => 100110001011 => 110100011001
001100001111 => 100110000111 => 111000011001
001011010101 => 100101101010 => 010101101001
001011010011 => 100101101001 => 100101101001
001011001101 => 100101100110 => 011001101001
001011001011 => 100101100101 => 101001101001
001011000111 => 100101100011 => 110001101001
001010110101 => 100101011010 => 010110101001
001010110011 => 100101011001 => 100110101001
001010101101 => 100101010110 => 011010101001
001010101011 => 100101010101 => 101010101001
001010100111 => 100101010011 => 110010101001
001010011101 => 100101001110 => 011100101001
001010011011 => 100101001101 => 101100101001
001010010111 => 100101001011 => 110100101001
001010001111 => 100101000111 => 111000101001
001001110101 => 100100111010 => 010111001001
001001110011 => 100100111001 => 100111001001
001001101101 => 100100110110 => 011011001001
001001101011 => 100100110101 => 101011001001
001001100111 => 100100110011 => 110011001001
001001011101 => 100100101110 => 011101001001
001001011011 => 100100101101 => 101101001001
001001010111 => 100100101011 => 110101001001
001001001111 => 100100100111 => 111001001001
001000111101 => 100100011110 => 011110001001
001000111011 => 100100011101 => 101110001001
001000110111 => 100100011011 => 110110001001
001000101111 => 100100010111 => 111010001001
001000011111 => 100100001111 => 111100001001
000111010011 => 100011101001 => 100101110001
000111001101 => 100011100110 => 011001110001
000111001011 => 100011100101 => 101001110001
000111000111 => 100011100011 => 110001110001
000110110011 => 100011011001 => 100110110001
000110101101 => 100011010110 => 011010110001
000110101011 => 100011010101 => 101010110001
000110100111 => 100011010011 => 110010110001
000110011101 => 100011001110 => 011100110001
000110011011 => 100011001101 => 101100110001
000110010111 => 100011001011 => 110100110001
000110001111 => 100011000111 => 111000110001
000101110101 => 100010111010 => 010111010001
000101110011 => 100010111001 => 100111010001
000101101101 => 100010110110 => 011011010001
000101101011 => 100010110101 => 101011010001
000101100111 => 100010110011 => 110011010001
000101011101 => 100010101110 => 011101010001
000101011011 => 100010101101 => 101101010001
000101010111 => 100010101011 => 110101010001
000101001111 => 100010100111 => 111001010001
000100111101 => 100010011110 => 011110010001
000100111011 => 100010011101 => 101110010001
000100110111 => 100010011011 => 110110010001
000100101111 => 100010010111 => 111010010001
000100011111 => 100010001111 => 111100010001
000011110101 => 100001111010 => 010111100001
000011110011 => 100001111001 => 100111100001
000011101101 => 100001110110 => 011011100001
000011101011 => 100001110101 => 101011100001
000011100111 => 100001110011 => 110011100001
000011011101 => 100001101110 => 011101100001
000011011011 => 100001101101 => 101101100001
000011010111 => 100001101011 => 110101100001
000011001111 => 100001100111 => 111001100001
000010111101 => 100001011110 => 011110100001
000010111011 => 100001011101 => 101110100001
000010110111 => 100001011011 => 110110100001
000010101111 => 100001010111 => 111010100001
000010011111 => 100001001111 => 111100100001
000001111101 => 100000111110 => 011111000001
000001111011 => 100000111101 => 101111000001
000001110111 => 100000111011 => 110111000001
000001101111 => 100000110111 => 111011000001
000001011111 => 100000101111 => 111101000001
000000111111 => 100000011111 => 111110000001
11010101010 => 01101010101 => 10101010110
11010101000 => 01101010100 => 00101010110
11010101100 => 01101010110 => 01101010110
11010110100 => 01101011010 => 01011010110
11011010100 => 01101101010 => 01010110110
10101010100 => 01010101010 => 01010101010
111111111111 => 111111111111 => 111111111111
111111111001 => 111111111100 => 001111111111
111111100001 => 111111110000 => 000011111111
111111101101 => 111111110110 => 011011111111
111110011001 => 111111001100 => 001100111111
111110000001 => 111111000000 => 000000111111
111110001101 => 111111000110 => 011000111111
111110110111 => 111111011011 => 110110111111
111110110001 => 111111011000 => 000110111111
111110111101 => 111111011110 => 011110111111
111110100101 => 111111010010 => 010010111111
111001111001 => 111100111100 => 001111001111
111001100001 => 111100110000 => 000011001111
111001101101 => 111100110110 => 011011001111
111000011001 => 111100001100 => 001100001111
111000000111 => 111100000011 => 110000001111
111000000001 => 111100000000 => 000000001111
111000001101 => 111100000110 => 011000001111
111000110111 => 111100011011 => 110110001111
111000110001 => 111100011000 => 000110001111
111000111101 => 111100011110 => 011110001111
111000100101 => 111100010010 => 010010001111
111011011111 => 111101101111 => 111101101111
111011011001 => 111101101100 => 001101101111
111011000001 => 111101100000 => 000001101111
111011001101 => 111101100110 => 011001101111
111011110111 => 111101111011 => 110111101111
111011110001 => 111101111000 => 000111101111
111011111101 => 111101111110 => 011111101111
111011100101 => 111101110010 => 010011101111
111010010111 => 111101001011 => 110100101111
111010010001 => 111101001000 => 000100101111
111010011101 => 111101001110 => 011100101111
111010000101 => 111101000010 => 010000101111
111010110101 => 111101011010 => 010110101111
100111111001 => 110011111100 => 001111110011
100111100001 => 110011110000 => 000011110011
100111101101 => 110011110110 => 011011110011
100110011001 => 110011001100 => 001100110011
100110000111 => 110011000011 => 110000110011
100110000001 => 110011000000 => 000000110011
100110001101 => 110011000110 => 011000110011
100110110111 => 110011011011 => 110110110011
100110110001 => 110011011000 => 000110110011
100110111101 => 110011011110 => 011110110011
100110100101 => 110011010010 => 010010110011
100001111001 => 110000111100 => 001111000011
100001100111 => 110000110011 => 110011000011
100001100001 => 110000110000 => 000011000011
100001101101 => 110000110110 => 011011000011
100000011111 => 110000001111 => 111100000011
100000011001 => 110000001100 => 001100000011
100000000001 => 110000000000 => 000000000011
100000001101 => 110000000110 => 011000000011
100000110111 => 110000011011 => 110110000011
100000110001 => 110000011000 => 000110000011
100000111101 => 110000011110 => 011110000011
100000100101 => 110000010010 => 010010000011
100011011111 => 110001101111 => 111101100011
100011011001 => 110001101100 => 001101100011
100011000111 => 110001100011 => 110001100011
100011000001 => 110001100000 => 000001100011
100011001101 => 110001100110 => 011001100011
100011110111 => 110001111011 => 110111100011
100011110001 => 110001111000 => 000111100011
100011111101 => 110001111110 => 011111100011
100011100101 => 110001110010 => 010011100011
100010010111 => 110001001011 => 110100100011
100010010001 => 110001001000 => 000100100011
100010011101 => 110001001110 => 011100100011
100010000101 => 110001000010 => 010000100011
100010110101 => 110001011010 => 010110100011
101101111111 => 110110111111 => 111111011011
101101100001 => 110110110000 => 000011011011
101101101101 => 110110110110 => 011011011011
101100011001 => 110110001100 => 001100011011
101100000111 => 110110000011 => 110000011011
101100000001 => 110110000000 => 000000011011
101100001101 => 110110000110 => 011000011011
101100110111 => 110110011011 => 110110011011
101100110001 => 110110011000 => 000110011011
101100111101 => 110110011110 => 011110011011
101100100101 => 110110010010 => 010010011011
101111011111 => 110111101111 => 111101111011
101111000001 => 110111100000 => 000001111011
101111001101 => 110111100110 => 011001111011
101111110111 => 110111111011 => 110111111011
101111110001 => 110111111000 => 000111111011
101111111101 => 110111111110 => 011111111011
101111100101 => 110111110010 => 010011111011
101110010111 => 110111001011 => 110100111011
101110010001 => 110111001000 => 000100111011
101110011101 => 110111001110 => 011100111011
101110000101 => 110111000010 => 010000111011
101110110101 => 110111011010 => 010110111011
101001011111 => 110100101111 => 111101001011
101001011001 => 110100101100 => 001101001011
101001000111 => 110100100011 => 110001001011
101001000001 => 110100100000 => 000001001011
101001001101 => 110100100110 => 011001001011
101001110001 => 110100111000 => 000111001011
101001100101 => 110100110010 => 010011001011
101000010111 => 110100001011 => 110100001011
101000010001 => 110100001000 => 000100001011
101000011101 => 110100001110 => 011100001011
101000000101 => 110100000010 => 010000001011
101000110101 => 110100011010 => 010110001011
101011010111 => 110101101011 => 110101101011
101011010001 => 110101101000 => 000101101011
101011011101 => 110101101110 => 011101101011
101011000101 => 110101100010 => 010001101011
101011110101 => 110101111010 => 010111101011
101010010101 => 110101001010 => 010100101011
0000000000 => 0000000000 => 0000000000
0000000110 => 0000000011 => 1100000000
0000011000 => 0000001100 => 0011000000
0000011110 => 0000001111 => 1111000000
0000010010 => 0000001001 => 1001000000
0001100000 => 0000110000 => 0000110000
0001100110 => 0000110011 => 1100110000
0001111000 => 0000111100 => 0011110000
0001111110 => 0000111111 => 1111110000
0001110010 => 0000111001 => 1001110000
0001001000 => 0000100100 => 0010010000
0001001110 => 0000100111 => 1110010000
0001000010 => 0000100001 => 1000010000
0001011010 => 0000101101 => 1011010000
0110000000 => 0011000000 => 0000001100
0110000110 => 0011000011 => 1100001100
0110011000 => 0011001100 => 0011001100
0110011110 => 0011001111 => 1111001100
0110010010 => 0011001001 => 1001001100
0111100000 => 0011110000 => 0000111100
0111100110 => 0011110011 => 1100111100
0111111000 => 0011111100 => 0011111100
0111111110 => 0011111111 => 1111111100
0111110010 => 0011111001 => 1001111100
0111001000 => 0011100100 => 0010011100
0111001110 => 0011100111 => 1110011100
0111000010 => 0011100001 => 1000011100
0111011010 => 0011101101 => 1011011100
0100100000 => 0010010000 => 0000100100
0100100110 => 0010010011 => 1100100100
0100111000 => 0010011100 => 0011100100
0100111110 => 0010011111 => 1111100100
0100110010 => 0010011001 => 1001100100
0100001000 => 0010000100 => 0010000100
0100001110 => 0010000111 => 1110000100
0100000010 => 0010000001 => 1000000100
0100011010 => 0010001101 => 1011000100
0101101000 => 0010110100 => 0010110100
0101101110 => 0010110111 => 1110110100
0101100010 => 0010110001 => 1000110100
0101111010 => 0010111101 => 1011110100
0101001010 => 0010100101 => 1010010100
000000000000 => 000000000000 => 000000000000
000000000110 => 000000000011 => 110000000000
000000011000 => 000000001100 => 001100000000
000000011110 => 000000001111 => 111100000000
000000010010 => 000000001001 => 100100000000
000001100000 => 000000110000 => 000011000000
000001100110 => 000000110011 => 110011000000
000001111000 => 000000111100 => 001111000000
000001111110 => 000000111111 => 111111000000
000001110010 => 000000111001 => 100111000000
000001001000 => 000000100100 => 001001000000
000001001110 => 000000100111 => 111001000000
000001000010 => 000000100001 => 100001000000
000001011010 => 000000101101 => 101101000000
000110000000 => 000011000000 => 000000110000
000110000110 => 000011000011 => 110000110000
000110011000 => 000011001100 => 001100110000
000110011110 => 000011001111 => 111100110000
000110010010 => 000011001001 => 100100110000
000111100000 => 000011110000 => 000011110000
000111100110 => 000011110011 => 110011110000
000111111000 => 000011111100 => 001111110000
000111111110 => 000011111111 => 111111110000
000111110010 => 000011111001 => 100111110000
000111001000 => 000011100100 => 001001110000
000111001110 => 000011100111 => 111001110000
000111000010 => 000011100001 => 100001110000
000111011010 => 000011101101 => 101101110000
000100100000 => 000010010000 => 000010010000
000100100110 => 000010010011 => 110010010000
000100111000 => 000010011100 => 001110010000
000100111110 => 000010011111 => 111110010000
000100110010 => 000010011001 => 100110010000
000100001000 => 000010000100 => 001000010000
000100001110 => 000010000111 => 111000010000
000100000010 => 000010000001 => 100000010000
000100011010 => 000010001101 => 101100010000
000101101000 => 000010110100 => 001011010000
000101101110 => 000010110111 => 111011010000
000101100010 => 000010110001 => 100011010000
000101111010 => 000010111101 => 101111010000
000101001010 => 000010100101 => 101001010000
011000000000 => 001100000000 => 000000001100
011000000110 => 001100000011 => 110000001100
011000011000 => 001100001100 => 001100001100
011000011110 => 001100001111 => 111100001100
011000010010 => 001100001001 => 100100001100
011001100000 => 001100110000 => 000011001100
011001100110 => 001100110011 => 110011001100
011001111000 => 001100111100 => 001111001100
011001111110 => 001100111111 => 111111001100
011001110010 => 001100111001 => 100111001100
011001001000 => 001100100100 => 001001001100
011001001110 => 001100100111 => 111001001100
011001000010 => 001100100001 => 100001001100
011001011010 => 001100101101 => 101101001100
011110000000 => 001111000000 => 000000111100
011110000110 => 001111000011 => 110000111100
011110011000 => 001111001100 => 001100111100
011110011110 => 001111001111 => 111100111100
011110010010 => 001111001001 => 100100111100
011111100000 => 001111110000 => 000011111100
011111100110 => 001111110011 => 110011111100
011111111000 => 001111111100 => 001111111100
011111111110 => 001111111111 => 111111111100
011111110010 => 001111111001 => 100111111100
011111001000 => 001111100100 => 001001111100
011111001110 => 001111100111 => 111001111100
011111000010 => 001111100001 => 100001111100
011111011010 => 001111101101 => 101101111100
011100100000 => 001110010000 => 000010011100
011100100110 => 001110010011 => 110010011100
011100111000 => 001110011100 => 001110011100
011100111110 => 001110011111 => 111110011100
011100110010 => 001110011001 => 100110011100
011100001000 => 001110000100 => 001000011100
011100001110 => 001110000111 => 111000011100
011100000010 => 001110000001 => 100000011100
011100011010 => 001110001101 => 101100011100
011101101000 => 001110110100 => 001011011100
011101101110 => 001110110111 => 111011011100
011101100010 => 001110110001 => 100011011100
011101111010 => 001110111101 => 101111011100
011101001010 => 001110100101 => 101001011100
010010000000 => 001001000000 => 000000100100
010010000110 => 001001000011 => 110000100100
010010011000 => 001001001100 => 001100100100
010010011110 => 001001001111 => 111100100100
010010010010 => 001001001001 => 100100100100
010011100000 => 001001110000 => 000011100100
010011100110 => 001001110011 => 110011100100
010011111000 => 001001111100 => 001111100100
010011111110 => 001001111111 => 111111100100
010011110010 => 001001111001 => 100111100100
010011001000 => 001001100100 => 001001100100
010011001110 => 001001100111 => 111001100100
010011000010 => 001001100001 => 100001100100
010011011010 => 001001101101 => 101101100100
010000100000 => 001000010000 => 000010000100
010000100110 => 001000010011 => 110010000100
010000111000 => 001000011100 => 001110000100
010000111110 => 001000011111 => 111110000100
010000110010 => 001000011001 => 100110000100
010000001000 => 001000000100 => 001000000100
010000001110 => 001000000111 => 111000000100
010000000010 => 001000000001 => 100000000100
010000011010 => 001000001101 => 101100000100
010001101000 => 001000110100 => 001011000100
010001101110 => 001000110111 => 111011000100
010001100010 => 001000110001 => 100011000100
010001111010 => 001000111101 => 101111000100
010001001010 => 001000100101 => 101001000100
010110100000 => 001011010000 => 000010110100
010110100110 => 001011010011 => 110010110100
010110111000 => 001011011100 => 001110110100
010110111110 => 001011011111 => 111110110100
010110110010 => 001011011001 => 100110110100
010110001000 => 001011000100 => 001000110100
010110001110 => 001011000111 => 111000110100
010110000010 => 001011000001 => 100000110100
010110011010 => 001011001101 => 101100110100
010111101000 => 001011110100 => 001011110100
010111101110 => 001011110111 => 111011110100
010111100010 => 001011110001 => 100011110100
010111111010 => 001011111101 => 101111110100
010111001010 => 001011100101 => 101001110100
010100101000 => 001010010100 => 001010010100
010100101110 => 001010010111 => 111010010100
010100100010 => 001010010001 => 100010010100
010100111010 => 001010011101 => 101110010100
010100001010 => 001010000101 => 101000010100
010101101010 => 001010110101 => 101011010100
0010101010 => 0001010101 => 1010101000
0010101000 => 0001010100 => 0010101000
0010101100 => 0001010110 => 0110101000
0010100100 => 0001010010 => 0100101000
0010110100 => 0001011010 => 0101101000
0010010100 => 0001001010 => 0101001000
0011010100 => 0001101010 => 0101011000
0001010100 => 0000101010 => 0101010000
0101010100 => 0010101010 => 0101010100
00101010101 => 10010101010 => 01010101001
00101010111 => 10010101011 => 11010101001
0010101110 => 0001010111 => 1110101000
00101010011 => 10010101001 => 10010101001
0010100000 => 0001010000 => 0000101000
00101011011 => 10010101101 => 10110101001
0010111100 => 0001011110 => 0111101000
00101001011 => 10010100101 => 10100101001
0010000100 => 0001000010 => 0100001000
00101101011 => 10010110101 => 10101101001
0011110100 => 0001111010 => 0101111000
00100101011 => 10010010101 => 10101001001
0000010100 => 0000001010 => 0101000000
00110101011 => 10011010101 => 10101011001
0111010100 => 0011101010 => 0101011100
00010101011 => 10001010101 => 10101010001
01010101011 => 10101010101 => 10101010101
0000000010 => 0000000001 => 1000000000
0000001110 => 0000000111 => 1110000000
0000111110 => 0000011111 => 1111100000
0011111110 => 0001111111 => 1111111000
00000000000 => 00000000000 => 00000000000
00000000010 => 00000000001 => 10000000000
0000000100 => 0000000010 => 0100000000
00000000110 => 00000000011 => 11000000000
0000001010 => 0000000101 => 1010000000
00000001110 => 00000000111 => 11100000000
0000010110 => 0000001011 => 1101000000
00000011110 => 00000001111 => 11110000000
0000101110 => 0000010111 => 1110100000
00000111110 => 00000011111 => 11111000000
0001011110 => 0000101111 => 1111010000
00001111110 => 00000111111 => 11111100000
0010111110 => 0001011111 => 1111101000
00011111110 => 00001111111 => 11111110000
0101111110 => 0010111111 => 1111110100
00111111110 => 00011111111 => 11111111000
01111111110 => 00111111111 => 11111111100
0010110010 => 0001011001 => 1001101000
0010111000 => 0001011100 => 0011101000
0011001010 => 0001100101 => 1010011000
0011001100 => 0001100110 => 0110011000
0011010010 => 0001101001 => 1001011000
0011011000 => 0001101100 => 0011011000
0011100010 => 0001110001 => 1000111000
0011100100 => 0001110010 => 0100111000
0011101000 => 0001110100 => 0010111000
0011110000 => 0001111000 => 0001111000
0100101010 => 0010010101 => 1010100100
0100101100 => 0010010110 => 0110100100
0100110100 => 0010011010 => 0101100100
0101001100 => 0010100110 => 0110010100
0101010010 => 0010101001 => 1001010100
0101011000 => 0010101100 => 0011010100
0101100100 => 0010110010 => 0100110100
0101110000 => 0010111000 => 0001110100
0110001010 => 0011000101 => 1010001100
0110001100 => 0011000110 => 0110001100
0110010100 => 0011001010 => 0101001100
0110100010 => 0011010001 => 1000101100
0110100100 => 0011010010 => 0100101100
0110101000 => 0011010100 => 0010101100
0110110000 => 0011011000 => 0001101100
0111000100 => 0011100010 => 0100011100
0111010000 => 0011101000 => 0001011100
001010101010 => 000101010101 => 101010101000
001010101100 => 000101010110 => 011010101000
001010110010 => 000101011001 => 100110101000
001010110100 => 000101011010 => 010110101000
001010111000 => 000101011100 => 001110101000
001011001010 => 000101100101 => 101001101000
001011001100 => 000101100110 => 011001101000
001011010010 => 000101101001 => 100101101000
001011010100 => 000101101010 => 010101101000
001011011000 => 000101101100 => 001101101000
001011100010 => 000101110001 => 100011101000
001011101000 => 000101110100 => 001011101000
001011110000 => 000101111000 => 000111101000
001100101010 => 000110010101 => 101010011000
001100101100 => 000110010110 => 011010011000
001100110010 => 000110011001 => 100110011000
001100110100 => 000110011010 => 010110011000
001100111000 => 000110011100 => 001110011000
001101001010 => 000110100101 => 101001011000
001101001100 => 000110100110 => 011001011000
001101010010 => 000110101001 => 100101011000
001101010100 => 000110101010 => 010101011000
001101100010 => 000110110001 => 100011011000
001110001010 => 000111000101 => 101000111000
001110001100 => 000111000110 => 011000111000
001110010010 => 000111001001 => 100100111000
001110010100 => 000111001010 => 010100111000
001110011000 => 000111001100 => 001100111000
001110100010 => 000111010001 => 100010111000
001110100100 => 000111010010 => 010010111000
001110101000 => 000111010100 => 001010111000
001110110000 => 000111011000 => 000110111000
001111000010 => 000111100001 => 100001111000
001111001000 => 000111100100 => 001001111000
001111010000 => 000111101000 => 000101111000
001111100000 => 000111110000 => 000011111000
010010101010 => 001001010101 => 101010100100
010010101100 => 001001010110 => 011010100100
010010110010 => 001001011001 => 100110100100
010010110100 => 001001011010 => 010110100100
010010111000 => 001001011100 => 001110100100
010011001010 => 001001100101 => 101001100100
010011001100 => 001001100110 => 011001100100
010011010010 => 001001101001 => 100101100100
010011010100 => 001001101010 => 010101100100
010011011000 => 001001101100 => 001101100100
010011100010 => 001001110001 => 100011100100
010011101000 => 001001110100 => 001011100100
010011110000 => 001001111000 => 000111100100
010100101010 => 001010010101 => 101010010100
010100101100 => 001010010110 => 011010010100
010100110010 => 001010011001 => 100110010100
010100110100 => 001010011010 => 010110010100
010100111000 => 001010011100 => 001110010100
010101001010 => 001010100101 => 101001010100
010101001100 => 001010100110 => 011001010100
010101010010 => 001010101001 => 100101010100
010101010100 => 001010101010 => 010101010100
010101011000 => 001010101100 => 001101010100
010101100010 => 001010110001 => 100011010100
010101100100 => 001010110010 => 010011010100
010101101000 => 001010110100 => 001011010100
010101110000 => 001010111000 => 000111010100
010110001010 => 001011000101 => 101000110100
010110001100 => 001011000110 => 011000110100
010110010010 => 001011001001 => 100100110100
010110010100 => 001011001010 => 010100110100
010110011000 => 001011001100 => 001100110100
010110100010 => 001011010001 => 100010110100
010110100100 => 001011010010 => 010010110100
010110101000 => 001011010100 => 001010110100
010110110000 => 001011011000 => 000110110100
010111000010 => 001011100001 => 100001110100
010111000100 => 001011100010 => 010001110100
010111001000 => 001011100100 => 001001110100
010111010000 => 001011101000 => 000101110100
010111100000 => 001011110000 => 000011110100
011000101010 => 001100010101 => 101010001100
011000110010 => 001100011001 => 100110001100
011001001010 => 001100100101 => 101001001100
011001010010 => 001100101001 => 100101001100
011001010100 => 001100101010 => 010101001100
011001011000 => 001100101100 => 001101001100
011001100010 => 001100110001 => 100011001100
011001100100 => 001100110010 => 010011001100
011001101000 => 001100110100 => 001011001100
011001110000 => 001100111000 => 000111001100
011010001010 => 001101000101 => 101000101100
011010001100 => 001101000110 => 011000101100
011010010010 => 001101001001 => 100100101100
011010010100 => 001101001010 => 010100101100
011010011000 => 001101001100 => 001100101100
011010100010 => 001101010001 => 100010101100
011010100100 => 001101010010 => 010010101100
011010101000 => 001101010100 => 001010101100
011010110000 => 001101011000 => 000110101100
011011000010 => 001101100001 => 100001101100
011011000100 => 001101100010 => 010001101100
011011001000 => 001101100100 => 001001101100
011011010000 => 001101101000 => 000101101100
011011100000 => 001101110000 => 000011101100
011100001010 => 001110000101 => 101000011100
011100001100 => 001110000110 => 011000011100
011100010010 => 001110001001 => 100100011100
011100010100 => 001110001010 => 010100011100
011100011000 => 001110001100 => 001100011100
011100100010 => 001110010001 => 100010011100
011100100100 => 001110010010 => 010010011100
011100101000 => 001110010100 => 001010011100
011100110000 => 001110011000 => 000110011100
011101000010 => 001110100001 => 100001011100
011101000100 => 001110100010 => 010001011100
011101001000 => 001110100100 => 001001011100
011101010000 => 001110101000 => 000101011100
011101100000 => 001110110000 => 000011011100
011110000010 => 001111000001 => 100000111100
011110000100 => 001111000010 => 010000111100
011110001000 => 001111000100 => 001000111100
011110010000 => 001111001000 => 000100111100
011110100000 => 001111010000 => 000010111100
011111000000 => 001111100000 => 000001111100
10101010101 => 11010101010 => 01010101011
10101010010 => 01010101001 => 10010101010
10101001001 => 11010100100 => 00100101011
10101001010 => 01010100101 => 10100101010
10101000100 => 01010100010 => 01000101010
10100100101 => 11010010010 => 01001001011
10100100010 => 01010010001 => 10001001010
10100101001 => 11010010100 => 00101001011
10100100100 => 01010010010 => 01001001010
10100010001 => 11010001000 => 00010001011
10100010100 => 01010001010 => 01010001010
10100001000 => 01010000100 => 00100001010
10010010101 => 11001001010 => 01010010011
10010001001 => 11001000100 => 00100010011
10010100101 => 11001010010 => 01001010011
10010101001 => 11001010100 => 00101010011
10010100100 => 01001010010 => 01001010010
10010010001 => 11001001000 => 00010010011
10001000101 => 11000100010 => 01000100011
10001001001 => 11000100100 => 00100100011
10001010001 => 11000101000 => 00010100011
10000100001 => 11000010000 => 00001000011
01001010101 => 10100101010 => 01010100101
01001010010 => 00100101001 => 10010100100
01001001001 => 10100100100 => 00100100101
01001001010 => 00100100101 => 10100100100
01001000100 => 00100100010 => 01000100100
01000100101 => 10100010010 => 01001000101
01000100010 => 00100010001 => 10001000100
01000101001 => 10100010100 => 00101000101
01000101010 => 00100010101 => 10101000100
01000100100 => 00100010010 => 01001000100
01000010001 => 10100001000 => 00010000101
01000010010 => 00100001001 => 10010000100
01000010100 => 00100001010 => 01010000100
01000001000 => 00100000100 => 00100000100
01010010101 => 10101001010 => 01010010101
01010010010 => 00101001001 => 10010010100
01010001001 => 10101000100 => 00100010101
01010001010 => 00101000101 => 10100010100
01010000100 => 00101000010 => 01000010100
01010100101 => 10101010010 => 01001010101
01010100010 => 00101010001 => 10001010100
01010101001 => 10101010100 => 00101010101
01010101010 => 00101010101 => 10101010100
01010100100 => 00101010010 => 01001010100
01010010001 => 10101001000 => 00010010101
01010010100 => 00101001010 => 01010010100
01010001000 => 00101000100 => 00100010100
01001000101 => 10100100010 => 01000100101
01001000010 => 00100100001 => 10000100100
01001010001 => 10100101000 => 00010100101
01001010100 => 00100101010 => 01010100100
01001001000 => 00100100100 => 00100100100
01000100001 => 10100010000 => 00001000101
01000101000 => 00100010100 => 00101000100
01000010000 => 00100001000 => 00010000100
00100010101 => 10010001010 => 01010001001
00100010010 => 00010001001 => 10010001000
00100001001 => 10010000100 => 00100001001
00100001010 => 00010000101 => 10100001000
00100000100 => 00010000010 => 01000001000
00100100101 => 10010010010 => 01001001001
00100100010 => 00010010001 => 10001001000
00100101001 => 10010010100 => 00101001001
00100101010 => 00010010101 => 10101001000
00100100100 => 00010010010 => 01001001000
00100010001 => 10010001000 => 00010001001
00100010100 => 00010001010 => 01010001000
00100001000 => 00010000100 => 00100001000
00101000101 => 10010100010 => 01000101001
00101000010 => 00010100001 => 10000101000
00101001001 => 10010100100 => 00100101001
00101001010 => 00010100101 => 10100101000
00101000100 => 00010100010 => 01000101000
00101010001 => 10010101000 => 00010101001
00101010010 => 00010101001 => 10010101000
00101010100 => 00010101010 => 01010101000
00101001000 => 00010100100 => 00100101000
00100100001 => 10010010000 => 00001001001
00100101000 => 00010010100 => 00101001000
00100010000 => 00010001000 => 00010001000
00010000101 => 10001000010 => 01000010001
00010000010 => 00001000001 => 10000010000
00010001001 => 10001000100 => 00100010001
00010001010 => 00001000101 => 10100010000
00010000100 => 00001000010 => 01000010000
00010010001 => 10001001000 => 00010010001
00010010010 => 00001001001 => 10010010000
00010010100 => 00001001010 => 01010010000
00010001000 => 00001000100 => 00100010000
00010100001 => 10001010000 => 00001010001
00010100010 => 00001010001 => 10001010000
00010100100 => 00001010010 => 01001010000
00010101000 => 00001010100 => 00101010000
00010010000 => 00001001000 => 00010010000
00001000001 => 10000100000 => 00000100001
00001000010 => 00000100001 => 10000100000
00001000100 => 00000100010 => 01000100000
00001001000 => 00000100100 => 00100100000
00001010000 => 00000101000 => 00010100000
00000100000 => 00000010000 => 00001000000
0100000000 => 0010000000 => 0000000100
0100000011 => 1010000001 => 1000000101
0100011111 => 1010001111 => 1111000101
0100111111 => 1010011111 => 1111100101
0101111111 => 1010111111 => 1111110101
01000000000 => 00100000000 => 00000000100
01000000011 => 10100000001 => 10000000101
0100000101 => 1010000010 => 0100000101
0100001011 => 1010000101 => 1010000101
01000011111 => 10100001111 => 11110000101
0100101111 => 1010010111 => 1110100101
0101011111 => 1010101111 => 1111010101
01001111111 => 10100111111 => 11111100101
0110111111 => 1011011111 => 1111101101
01011111111 => 10101111111 => 11111110101
0101010110 => 0010101011 => 1101010100
0101011001 => 1010101100 => 0011010101
0101011010 => 0010101101 => 1011010100
0101011100 => 0010101110 => 0111010100
0101100101 => 1010110010 => 0100110101
0101100110 => 0010110011 => 1100110100
0101101001 => 1010110100 => 0010110101
0101101010 => 0010110101 => 1010110100
0101101100 => 0010110110 => 0110110100
0101110001 => 1010111000 => 0001110101
0101110010 => 0010111001 => 1001110100
0101110100 => 0010111010 => 0101110100
0101111000 => 0010111100 => 0011110100
0110010101 => 1011001010 => 0101001101
0110011001 => 1011001100 => 0011001101
0110011010 => 0011001101 => 1011001100
0110011100 => 0011001110 => 0111001100
0110100101 => 1011010010 => 0100101101
0110100110 => 0011010011 => 1100101100
0110101001 => 1011010100 => 0010101101
0110101010 => 0011010101 => 1010101100
0110101100 => 0011010110 => 0110101100
0110110001 => 1011011000 => 0001101101
0110110010 => 0011011001 => 1001101100
0110110100 => 0011011010 => 0101101100
0110111000 => 0011011100 => 0011101100
0111000101 => 1011100010 => 0100011101
0111000110 => 0011100011 => 1100011100
0111001001 => 1011100100 => 0010011101
0111001010 => 0011100101 => 1010011100
0111001100 => 0011100110 => 0110011100
0111010010 => 0011101001 => 1001011100
0111011000 => 0011101100 => 0011011100
0111100010 => 0011110001 => 1000111100
0111100100 => 0011110010 => 0100111100
0111101000 => 0011110100 => 0010111100
0111110000 => 0011111000 => 0001111100
010101010110 => 001010101011 => 110101010100
010101011001 => 101010101100 => 001101010101
010101011010 => 001010101101 => 101101010100
010101011100 => 001010101110 => 011101010100
010101100101 => 101010110010 => 010011010101
010101100110 => 001010110011 => 110011010100
010101101001 => 101010110100 => 001011010101
010101101100 => 001010110110 => 011011010100
010101110001 => 101010111000 => 000111010101
010101110010 => 001010111001 => 100111010100
010101110100 => 001010111010 => 010111010100
010101111000 => 001010111100 => 001111010100
010110010101 => 101011001010 => 010100110101
010110010110 => 001011001011 => 110100110100
010110011001 => 101011001100 => 001100110101
010110011100 => 001011001110 => 011100110100
010110100101 => 101011010010 => 010010110101
010110101001 => 101011010100 => 001010110101
010110101010 => 001011010101 => 101010110100
010110101100 => 001011010110 => 011010110100
010110110001 => 101011011000 => 000110110101
010110110100 => 001011011010 => 010110110100
010111000101 => 101011100010 => 010001110101
010111000110 => 001011100011 => 110001110100
010111001001 => 101011100100 => 001001110101
010111001100 => 001011100110 => 011001110100
010111010001 => 101011101000 => 000101110101
010111010010 => 001011101001 => 100101110100
010111010100 => 001011101010 => 010101110100
010111011000 => 001011101100 => 001101110100
010111100001 => 101011110000 => 000011110101
010111100100 => 001011110010 => 010011110100
010111110000 => 001011111000 => 000111110100
011001010101 => 101100101010 => 010101001101
011001010110 => 001100101011 => 110101001100
011001011001 => 101100101100 => 001101001101
011001011100 => 001100101110 => 011101001100
011001100101 => 101100110010 => 010011001101
011001101001 => 101100110100 => 001011001101
011001101010 => 001100110101 => 101011001100
011001101100 => 001100110110 => 011011001100
011001110001 => 101100111000 => 000111001101
011001110100 => 001100111010 => 010111001100
011010010101 => 101101001010 => 010100101101
011010010110 => 001101001011 => 110100101100
011010011001 => 101101001100 => 001100101101
011010011010 => 001101001101 => 101100101100
011010011100 => 001101001110 => 011100101100
011010100101 => 101101010010 => 010010101101
011010100110 => 001101010011 => 110010101100
011010101001 => 101101010100 => 001010101101
011010101010 => 001101010101 => 101010101100
011010101100 => 001101010110 => 011010101100
011010110001 => 101101011000 => 000110101101
011010110010 => 001101011001 => 100110101100
011010110100 => 001101011010 => 010110101100
011010111000 => 001101011100 => 001110101100
011011000101 => 101101100010 => 010001101101
011011001001 => 101101100100 => 001001101101
011011001010 => 001101100101 => 101001101100
011011001100 => 001101100110 => 011001101100
011011010001 => 101101101000 => 000101101101
011011010010 => 001101101001 => 100101101100
011011010100 => 001101101010 => 010101101100
011011011000 => 001101101100 => 001101101100
011011100001 => 101101110000 => 000011101101
011011100010 => 001101110001 => 100011101100
011011100100 => 001101110010 => 010011101100
011011101000 => 001101110100 => 001011101100
011011110000 => 001101111000 => 000111101100
011100010101 => 101110001010 => 010100011101
011100011001 => 101110001100 => 001100011101
011100011100 => 001110001110 => 011100011100
011100100101 => 101110010010 => 010010011101
011100101001 => 101110010100 => 001010011101
011100101010 => 001110010101 => 101010011100
011100101100 => 001110010110 => 011010011100
011100110001 => 101110011000 => 000110011101
011100110100 => 001110011010 => 010110011100
011101000101 => 101110100010 => 010001011101
011101001001 => 101110100100 => 001001011101
011101001100 => 001110100110 => 011001011100
011101010001 => 101110101000 => 000101011101
011101010010 => 001110101001 => 100101011100
011101010100 => 001110101010 => 010101011100
011101011000 => 001110101100 => 001101011100
011101100001 => 101110110000 => 000011011101
011101100100 => 001110110010 => 010011011100
011101110000 => 001110111000 => 000111011100
011110000101 => 101111000010 => 010000111101
011110001001 => 101111000100 => 001000111101
011110001010 => 001111000101 => 101000111100
011110001100 => 001111000110 => 011000111100
011110010001 => 101111001000 => 000100111101
011110010100 => 001111001010 => 010100111100
011110100001 => 101111010000 => 000010111101
011110100010 => 001111010001 => 100010111100
011110100100 => 001111010010 => 010010111100
011110101000 => 001111010100 => 001010111100
011110110000 => 001111011000 => 000110111100
011111000001 => 101111100000 => 000001111101
011111000100 => 001111100010 => 010001111100
011111010000 => 001111101000 => 000101111100
0100000100 => 0010000010 => 0100000100
0011100110 => 0001110011 => 1100111000
0011101010 => 0001110101 => 1010111000
0011101100 => 0001110110 => 0110111000
0001101110 => 0000110111 => 1110110000
0010110110 => 0001011011 => 1101101000
0011110010 => 0001111001 => 1001111000
0001110110 => 0000111011 => 1101110000
0100111010 => 0010011101 => 1011100100
0010111010 => 0001011101 => 1011101000
0011111000 => 0001111100 => 0011111000
0001111010 => 0000111101 => 1011110000
0100111100 => 0010011110 => 0111100100
0001111100 => 0000111110 => 0111110000
001111000110 => 000111100011 => 110001111000
001111001010 => 000111100101 => 101001111000
100111001100 => 010011100110 => 011001110010
001111001100 => 000111100110 => 011001111000
001011010110 => 000101101011 => 110101101000
001111010010 => 000111101001 => 100101111000
100111010100 => 010011101010 => 010101110010
001111010100 => 000111101010 => 010101111000
000111010110 => 000011101011 => 110101110000
001011011010 => 000101101101 => 101101101000
100111011000 => 010011101100 => 001101110010
001111011000 => 000111101100 => 001101111000
100011011100 => 010001101110 => 011101100010
010011011100 => 001001101110 => 011101100100
001011011100 => 000101101110 => 011101101000
000111011100 => 000011101110 => 011101110000
000011011110 => 000001101111 => 111101100000
001101100110 => 000110110011 => 110011011000
001101101010 => 000110110101 => 101011011000
100101101100 => 010010110110 => 011011010010
001101101100 => 000110110110 => 011011011000
001111100010 => 000111110001 => 100011111000
100111100100 => 010011110010 => 010011110010
001111100100 => 000111110010 => 010011111000
010011101010 => 001001110101 => 101011100100
001011101010 => 000101110101 => 101011101000
100111101000 => 010011110100 => 001011110010
001111101000 => 000111110100 => 001011111000
000111101010 => 000011110101 => 101011110000
100011101100 => 010001110110 => 011011100010
010011101100 => 001001110110 => 011011100100
001011101100 => 000101110110 => 011011101000
000111101100 => 000011110110 => 011011110000
000011101110 => 000001110111 => 111011100000
101001110100 => 010100111010 => 010111001010
001001110110 => 000100111011 => 110111001000
001101110010 => 000110111001 => 100111011000
100101110100 => 010010111010 => 010111010010
001101110100 => 000110111010 => 010111011000
000101110110 => 000010111011 => 110111010000
001011110010 => 000101111001 => 100111101000
100111110000 => 010011111000 => 000111110010
001111110000 => 000111111000 => 000111111000
100011110100 => 010001111010 => 010111100010
010011110100 => 001001111010 => 010111100100
001011110100 => 000101111010 => 010111101000
000111110100 => 000011111010 => 010111110000
000011110110 => 000001111011 => 110111100000
110001111000 => 011000111100 => 001111000110
101001111000 => 010100111100 => 001111001010
001001111010 => 000100111101 => 101111001000
100101111000 => 010010111100 => 001111010010
001101111000 => 000110111100 => 001111011000
100011111000 => 010001111100 => 001111100010
001011111000 => 000101111100 => 001111101000
000011111010 => 000001111101 => 101111100000
010001111100 => 001000111110 => 011111000100
001001111100 => 000100111110 => 011111001000
000101111100 => 000010111110 => 011111010000
000011111100 => 000001111110 => 011111100000
0000000101 => 1000000010 => 0100000001
0000001101 => 1000000110 => 0110000001
0000011101 => 1000001110 => 0111000001
0001111101 => 1000111110 => 0111110001
0011111101 => 1001111110 => 0111111001
0000001001 => 1000000100 => 0010000001
00000001101 => 10000000110 => 01100000001
0000010101 => 1000001010 => 0101000001
0000101101 => 1000010110 => 0110100001
0010111101 => 1001011110 => 0111101001
0101111101 => 1010111110 => 0111110101
11111111101 => 11111111110 => 01111111111
100101010101 => 110010101010 => 010101010011
100101011001 => 110010101100 => 001101010011
100101100101 => 110010110010 => 010011010011
100101101001 => 110010110100 => 001011010011
100101110001 => 110010111000 => 000111010011
100110010101 => 110011001010 => 010100110011
100110101001 => 110011010100 => 001010110011
100111001001 => 110011100100 => 001001110011
101001010101 => 110100101010 => 010101001011
101001101001 => 110100110100 => 001011001011
101010011001 => 110101001100 => 001100101011
101010100101 => 110101010010 => 010010101011
101010101001 => 110101010100 => 001010101011
101011001001 => 110101100100 => 001001101011
101011100001 => 110101110000 => 000011101011
101100010101 => 110110001010 => 010100011011
101101000101 => 110110100010 => 010001011011
101101001001 => 110110100100 => 001001011011
101101010001 => 110110101000 => 000101011011
101110001001 => 110111000100 => 001000111011
101110100001 => 110111010000 => 000010111011
110001010101 => 111000101010 => 010101000111
110001110001 => 111000111000 => 000111000111
110010010101 => 111001001010 => 010100100111
110010011001 => 111001001100 => 001100100111
110010100101 => 111001010010 => 010010100111
110010110001 => 111001011000 => 000110100111
110011000101 => 111001100010 => 010001100111
110011001001 => 111001100100 => 001001100111
110011010001 => 111001101000 => 000101100111
110011100001 => 111001110000 => 000011100111
110100010101 => 111010001010 => 010100010111
110100011001 => 111010001100 => 001100010111
110100100101 => 111010010010 => 010010010111
110100101001 => 111010010100 => 001010010111
110100110001 => 111010011000 => 000110010111
110101000101 => 111010100010 => 010001010111
110101001001 => 111010100100 => 001001010111
110101010001 => 111010101000 => 000101010111
110101100001 => 111010110000 => 000011010111
110110000101 => 111011000010 => 010000110111
110110001001 => 111011000100 => 001000110111
110110010001 => 111011001000 => 000100110111
110110100001 => 111011010000 => 000010110111
110111000001 => 111011100000 => 000001110111
111000010101 => 111100001010 => 010100001111
111000101001 => 111100010100 => 001010001111
111001000101 => 111100100010 => 010001001111
111001001001 => 111100100100 => 001001001111
111001010001 => 111100101000 => 000101001111
111010001001 => 111101000100 => 001000101111
111010100001 => 111101010000 => 000010101111
111100000101 => 111110000010 => 010000011111
111100001001 => 111110000100 => 001000011111
111100010001 => 111110001000 => 000100011111
111100100001 => 111110010000 => 000010011111
111101000001 => 111110100000 => 000001011111
0111000011 => 1011100001 => 1000011101
0011110001 => 1001111000 => 0001111001
110101000011 => 111010100001 => 100001010111
110100011100 => 011010001110 => 011100010110
110100000111 => 111010000011 => 110000010111
110011000011 => 111001100001 => 100001100111
110110000011 => 111011000001 => 100000110111
110001110100 => 011000111010 => 010111000110
110000111100 => 011000011110 => 011110000110
110000001111 => 111000000111 => 111000000111
011101000011 => 101110100001 => 100001011101
011100000111 => 101110000011 => 110000011101
111001000011 => 111100100001 => 100001001111
111010000011 => 111101000001 => 100000101111
111000011100 => 011100001110 => 011100001110
001111010001 => 100111101000 => 000101111001
001111000011 => 100111100001 => 100001111001
011110000011 => 101111000001 => 100000111101
111100000011 => 111110000001 => 100000011111
000111110001 => 100011111000 => 000111110001
001111100001 => 100111110000 => 000011111001
01111111011 => 10111111101 => 10111111101
01111110101 => 10111111010 => 01011111101
0011110111 => 1001111011 => 1101111001
01111101001 => 10111110100 => 00101111101
0011101101 => 1001110110 => 0110111001
01111010001 => 10111101000 => 00010111101
0011011001 => 1001101100 => 0011011001
01110100001 => 10111010000 => 00001011101
0010110001 => 1001011000 => 0001101001
01101000001 => 10110100000 => 00000101101
0001100001 => 1000110000 => 0000110001
01010000001 => 10101000000 => 00000010101
0001000001 => 1000100000 => 0000010001
00100000001 => 10010000000 => 00000001001
0111010101 => 1011101010 => 0101011101
0111010011 => 1011101001 => 1001011101
0111001101 => 1011100110 => 0110011101
0111011001 => 1011101100 => 0011011101
0111000111 => 1011100011 => 1100011101
0011110101 => 1001111010 => 0101111001
0011110011 => 1001111001 => 1001111001
0111100101 => 1011110010 => 0100111101
0111100011 => 1011110001 => 1000111101
0011111001 => 1001111100 => 0011111001
0000111111 => 1000011111 => 1111100001
110101010101 => 111010101010 => 010101010111
110101010011 => 111010101001 => 100101010111
110101001101 => 111010100110 => 011001010111
110101011001 => 111010101100 => 001101010111
110101000111 => 111010100011 => 110001010111
110100110101 => 111010011010 => 010110010111
110100110011 => 111010011001 => 100110010111
110101100101 => 111010110010 => 010011010111
110101101001 => 111010110100 => 001011010111
110101100011 => 111010110001 => 100011010111
110100011101 => 111010001110 => 011100010111
110101110001 => 111010111000 => 000111010111
110100001111 => 111010000111 => 111000010111
110011010101 => 111001101010 => 010101100111
110011010011 => 111001101001 => 100101100111
110011001101 => 111001100110 => 011001100111
110011011001 => 111001101100 => 001101100111
110011000111 => 111001100011 => 110001100111
110110010101 => 111011001010 => 010100110111
110110010011 => 111011001001 => 100100110111
110110100101 => 111011010010 => 010010110111
110110101001 => 111011010100 => 001010110111
110110100011 => 111011010001 => 100010110111
110110001101 => 111011000110 => 011000110111
110110011001 => 111011001100 => 001100110111
110110110001 => 111011011000 => 000110110111
110110000111 => 111011000011 => 110000110111
110001110101 => 111000111010 => 010111000111
110001110011 => 111000111001 => 100111000111
110011100101 => 111001110010 => 010011100111
110011101001 => 111001110100 => 001011100111
110011100011 => 111001110001 => 100011100111
110111000101 => 111011100010 => 010001110111
110111001001 => 111011100100 => 001001110111
110111010001 => 111011101000 => 000101110111
110111000011 => 111011100001 => 100001110111
110000111101 => 111000011110 => 011110000111
110001111001 => 111000111100 => 001111000111
110011110001 => 111001111000 => 000111100111
110111100001 => 111011110000 => 000011110111
110000011111 => 111000001111 => 111100000111
011101010101 => 101110101010 => 010101011101
011101001101 => 101110100110 => 011001011101
011101000111 => 101110100011 => 110001011101
011100110101 => 101110011010 => 010110011101
011100110011 => 101110011001 => 100110011101
011101100101 => 101110110010 => 010011011101
011101101001 => 101110110100 => 001011011101
011101100011 => 101110110001 => 100011011101
011100011101 => 101110001110 => 011100011101
011100111001 => 101110011100 => 001110011101
011101110001 => 101110111000 => 000111011101
011100001111 => 101110000111 => 111000011101
111001010101 => 111100101010 => 010101001111
111001010011 => 111100101001 => 100101001111
111001001101 => 111100100110 => 011001001111
111001011001 => 111100101100 => 001101001111
111001000111 => 111100100011 => 110001001111
111010010101 => 111101001010 => 010100101111
111010010011 => 111101001001 => 100100101111
111010100101 => 111101010010 => 010010101111
111010101001 => 111101010100 => 001010101111
111010100011 => 111101010001 => 100010101111
111010001101 => 111101000110 => 011000101111
111010011001 => 111101001100 => 001100101111
111010110001 => 111101011000 => 000110101111
111010000111 => 111101000011 => 110000101111
111000110101 => 111100011010 => 010110001111
111000110011 => 111100011001 => 100110001111
111001100101 => 111100110010 => 010011001111
111001101001 => 111100110100 => 001011001111
111001100011 => 111100110001 => 100011001111
111011000101 => 111101100010 => 010001101111
111011001001 => 111101100100 => 001001101111
111011010001 => 111101101000 => 000101101111
111011000011 => 111101100001 => 100001101111
111000011101 => 111100001110 => 011100001111
111000111001 => 111100011100 => 001110001111
111001110001 => 111100111000 => 000111001111
111011100001 => 111101110000 => 000011101111
111000001111 => 111100000111 => 111000001111
001111010101 => 100111101010 => 010101111001
001111010011 => 100111101001 => 100101111001
001111001101 => 100111100110 => 011001111001
001111011001 => 100111101100 => 001101111001
001111000111 => 100111100011 => 110001111001
011110010101 => 101111001010 => 010100111101
011110100101 => 101111010010 => 010010111101
011110101001 => 101111010100 => 001010111101
011110001101 => 101111000110 => 011000111101
011110011001 => 101111001100 => 001100111101
011110110001 => 101111011000 => 000110111101
011110000111 => 101111000011 => 110000111101
111100010101 => 111110001010 => 010100011111
111100010011 => 111110001001 => 100100011111
111100100101 => 111110010010 => 010010011111
111100101001 => 111110010100 => 001010011111
111100100011 => 111110010001 => 100010011111
111101000101 => 111110100010 => 010001011111
111101001001 => 111110100100 => 001001011111
111101010001 => 111110101000 => 000101011111
111101000011 => 111110100001 => 100001011111
111100001101 => 111110000110 => 011000011111
111100011001 => 111110001100 => 001100011111
111100110001 => 111110011000 => 000110011111
111101100001 => 111110110000 => 000011011111
111100000111 => 111110000011 => 110000011111
000111110101 => 100011111010 => 010111110001
000111110011 => 100011111001 => 100111110001
001111100101 => 100111110010 => 010011111001
001111101001 => 100111110100 => 001011111001
001111100011 => 100111110001 => 100011111001
011111000101 => 101111100010 => 010001111101
011111001001 => 101111100100 => 001001111101
011111010001 => 101111101000 => 000101111101
011111000011 => 101111100001 => 100001111101
111110000101 => 111111000010 => 010000111111
111110001001 => 111111000100 => 001000111111
111110010001 => 111111001000 => 000100111111
111110100001 => 111111010000 => 000010111111
111110000011 => 111111000001 => 100000111111
000011111101 => 100001111110 => 011111100001
000111111001 => 100011111100 => 001111110001
001111110001 => 100111111000 => 000111111001
011111100001 => 101111110000 => 000011111101
111111000001 => 111111100000 => 000001111111
000001111111 => 100000111111 => 111111000001
0001101100 => 0000110110 => 0110110000
0010011100 => 0001001110 => 0111001000
0000111100 => 0000011110 => 0111100000
0001101010 => 0000110101 => 1010110000
0011000110 => 0001100011 => 1100011000
0001010110 => 0000101011 => 1101010000
0010001110 => 0001000111 => 1110001000
10111111101 => 11011111110 => 01111111011
01011111101 => 10101111110 => 01111110101
00101111101 => 10010111110 => 01111101001
0110111001 => 1011011100 => 0011101101
00010111101 => 10001011110 => 01111010001
00001011101 => 10000101110 => 01110100001
0001101001 => 1000110100 => 0010110001
00000101101 => 10000010110 => 01101000001
0000110001 => 1000011000 => 0001100001
00000010101 => 10000001010 => 01010000001
0000010001 => 1000001000 => 0001000001
00000001001 => 10000000100 => 00100000001
10000000001 => 11000000000 => 00000000011
11000000001 => 11100000000 => 00000000111
11100000001 => 11110000000 => 00000001111
11110000001 => 11111000000 => 00000011111
11111000001 => 11111100000 => 00000111111
11111100001 => 11111110000 => 00001111111
11111110001 => 11111111000 => 00011111111
11111111001 => 11111111100 => 00111111111
11111111111 => 11111111111 => 11111111111
0100011001 => 1010001100 => 0011000101
0100111001 => 1010011100 => 0011100101
0101111001 => 1010111100 => 0011110101
0110010001 => 1011001000 => 0001001101
0100010001 => 1010001000 => 0001000101
0100110001 => 1010011000 => 0001100101
0100100001 => 1010010000 => 0000100101
0101100001 => 1010110000 => 0000110101
0110011011 => 1011001101 => 1011001101
0110111011 => 1011011101 => 1011101101
0100111011 => 1010011101 => 1011100101
0101111011 => 1010111101 => 1011110101
0110010011 => 1011001001 => 1001001101
0100010011 => 1010001001 => 1001000101
0110110011 => 1011011001 => 1001101101
0101110011 => 1010111001 => 1001110101
0110100011 => 1011010001 => 1000101101
0100100011 => 1010010001 => 1000100101
0101100011 => 1010110001 => 1000110101
0101000011 => 1010100001 => 1000010101
0110010111 => 1011001011 => 1101001101
0110110111 => 1011011011 => 1101101101
0100110111 => 1010011011 => 1101100101
0101110111 => 1010111011 => 1101110101
0110100111 => 1011010011 => 1100101101
0101100111 => 1010110011 => 1100110101
0110101111 => 1011010111 => 1110101101
0101101111 => 1010110111 => 1110110101
0101001111 => 1010100111 => 1110010101
101110011001 => 110111001100 => 001100111011
100100011001 => 110010001100 => 001100010011
101000011001 => 110100001100 => 001100001011
100110111001 => 110011011100 => 001110110011
100100111001 => 110010011100 => 001110010011
101000111001 => 110100011100 => 001110001011
100101111001 => 110010111100 => 001111010011
101001111001 => 110100111100 => 001111001011
100110010001 => 110011001000 => 000100110011
100100010001 => 110010001000 => 000100010011
101100010001 => 110110001000 => 000100011011
101110110001 => 110111011000 => 000110111011
100100110001 => 110010011000 => 000110010011
101000110001 => 110100011000 => 000110001011
101101110001 => 110110111000 => 000111011011
101011110001 => 110101111000 => 000111101011
100110100001 => 110011010000 => 000010110011
100100100001 => 110010010000 => 000010010011
101100100001 => 110110010000 => 000010011011
100101100001 => 110010110000 => 000011010011
100101000001 => 110010100000 => 000001010011
101101000001 => 110110100000 => 000001011011
100110011011 => 110011001101 => 101100110011
100100011011 => 110010001101 => 101100010011
101100011011 => 110110001101 => 101100011011
101000011011 => 110100001101 => 101100001011
101110111011 => 110111011101 => 101110111011
100100111011 => 110010011101 => 101110010011
101000111011 => 110100011101 => 101110001011
100101111011 => 110010111101 => 101111010011
101101111011 => 110110111101 => 101111011011
101011111011 => 110101111101 => 101111101011
100110010011 => 110011001001 => 100100110011
101110010011 => 110111001001 => 100100111011
100100010011 => 110010001001 => 100100010011
101100010011 => 110110001001 => 100100011011
101000010011 => 110100001001 => 100100001011
100110110011 => 110011011001 => 100110110011
100100110011 => 110010011001 => 100110010011
101100110011 => 110110011001 => 100110011011
101000110011 => 110100011001 => 100110001011
100101110011 => 110010111001 => 100111010011
101101110011 => 110110111001 => 100111011011
101001110011 => 110100111001 => 100111001011
100110100011 => 110011010001 => 100010110011
101110100011 => 110111010001 => 100010111011
100100100011 => 110010010001 => 100010010011
101100100011 => 110110010001 => 100010011011
101000100011 => 110100010001 => 100010001011
100101100011 => 110010110001 => 100011010011
101101100011 => 110110110001 => 100011011011
101001100011 => 110100110001 => 100011001011
101011100011 => 110101110001 => 100011101011
100101000011 => 110010100001 => 100001010011
101101000011 => 110110100001 => 100001011011
101001000011 => 110100100001 => 100001001011
101011000011 => 110101100001 => 100001101011
101010000011 => 110101000001 => 100000101011
100110010111 => 110011001011 => 110100110011
100100010111 => 110010001011 => 110100010011
101100010111 => 110110001011 => 110100011011
101110110111 => 110111011011 => 110110111011
100100110111 => 110010011011 => 110110010011
101000110111 => 110100011011 => 110110001011
100101110111 => 110010111011 => 110111010011
101101110111 => 110110111011 => 110111011011
101011110111 => 110101111011 => 110111101011
100110100111 => 110011010011 => 110010110011
100100100111 => 110010010011 => 110010010011
101100100111 => 110110010011 => 110010011011
101000100111 => 110100010011 => 110010001011
100101100111 => 110010110011 => 110011010011
101001100111 => 110100110011 => 110011001011
100101000111 => 110010100011 => 110001010011
101101000111 => 110110100011 => 110001011011
101011000111 => 110101100011 => 110001101011
101010000111 => 110101000011 => 110000101011
101110101111 => 110111010111 => 111010111011
100100101111 => 110010010111 => 111010010011
101000101111 => 110100010111 => 111010001011
101101101111 => 110110110111 => 111011011011
101011101111 => 110101110111 => 111011101011
100101001111 => 110010100111 => 111001010011
101001001111 => 110100100111 => 111001001011
101010001111 => 110101000111 => 111000101011
100101011111 => 110010101111 => 111101010011
101010111111 => 110101011111 => 111110101011
100110101010 => 010011010101 => 101010110010
101001101010 => 010100110101 => 101011001010
100101101010 => 010010110101 => 101011010010
100011101010 => 010001110101 => 101011100010
101010011010 => 010101001101 => 101100101010
100110011010 => 010011001101 => 101100110010
101001011010 => 010100101101 => 101101001010
100101011010 => 010010101101 => 101101010010
101000111010 => 010100011101 => 101110001010
101010100110 => 010101010011 => 110010101010
100110100110 => 010011010011 => 110010110010
100101100110 => 010010110011 => 110011010010
101010010110 => 010101001011 => 110100101010
100110010110 => 010011001011 => 110100110010
101001010110 => 010100101011 => 110101001010
101010001110 => 010101000111 => 111000101010
100011101001 => 110001110100 => 001011100011
100010111001 => 110001011100 => 001110100011
100100110101 => 110010011010 => 010110010011
100001110101 => 110000111010 => 010111000011
101010001101 => 110101000110 => 011000101011
100101001101 => 110010100110 => 011001010011
101000101101 => 110100010110 => 011010001011
100100101101 => 110010010110 => 011010010011
100010101101 => 110001010110 => 011010100011
100100011101 => 110010001110 => 011100010011
100001011101 => 110000101110 => 011101000011
101010100011 => 110101010001 => 100010101011
100011100011 => 110001110001 => 100011100011
101010010011 => 110101001001 => 100100101011
101001010011 => 110100101001 => 100101001011
100101010011 => 110010101001 => 100101010011
100011010011 => 110001101001 => 100101100011
100010110011 => 110001011001 => 100110100011
100001110011 => 110000111001 => 100111000011
101010001011 => 110101000101 => 101000101011
100110001011 => 110011000101 => 101000110011
101001001011 => 110100100101 => 101001001011
100101001011 => 110010100101 => 101001010011
100011001011 => 110001100101 => 101001100011
101000101011 => 110100010101 => 101010001011
100100101011 => 110010010101 => 101010010011
100010101011 => 110001010101 => 101010100011
100001101011 => 110000110101 => 101011000011
100010011011 => 110001001101 => 101100100011
100001011011 => 110000101101 => 101101000011
100000111011 => 110000011101 => 101110000011
100010100111 => 110001010011 => 110010100011
100001010111 => 110000101011 => 110101000011
101000001111 => 110100000111 => 111000001011
100100001111 => 110010000111 => 111000010011
100010001111 => 110001000111 => 111000100011
100001001111 => 110000100111 => 111001000011
100000101111 => 110000010111 => 111010000011
01010101101 => 10101010110 => 01101010101
01010110110 => 00101011011 => 11011010100
01010110101 => 10101011010 => 01011010101
01010111011 => 10101011101 => 10111010101
01011011010 => 00101101101 => 10110110100
01011011101 => 10101101110 => 01110110101
01011010110 => 00101101011 => 11010110100
01011010101 => 10101101010 => 01010110101
01011011011 => 10101101101 => 10110110101
01011101110 => 00101110111 => 11101110100
01011101101 => 10101110110 => 01101110101
01011101011 => 10101110101 => 10101110101
01011110111 => 10101111011 => 11011110101
01101101010 => 00110110101 => 10101101100
01101101101 => 10110110110 => 01101101101
01101110110 => 00110111011 => 11011101100
01101110101 => 10110111010 => 01011101101
01101111011 => 10110111101 => 10111101101
01101011010 => 00110101101 => 10110101100
01101011101 => 10110101110 => 01110101101
01101010110 => 00110101011 => 11010101100
01101010101 => 10110101010 => 01010101101
01101011011 => 10110101101 => 10110101101
01101101110 => 00110110111 => 11101101100
01101101011 => 10110110101 => 10101101101
01101110111 => 10110111011 => 11011101101
01110111010 => 00111011101 => 10111011100
01110111101 => 10111011110 => 01111011101
01110110110 => 00111011011 => 11011011100
01110110101 => 10111011010 => 01011011101
01110111011 => 10111011101 => 10111011101
01110101110 => 00111010111 => 11101011100
01110101101 => 10111010110 => 01101011101
01110101011 => 10111010101 => 10101011101
01110110111 => 10111011011 => 11011011101
01111011110 => 00111101111 => 11110111100
01111011101 => 10111101110 => 01110111101
01111011011 => 10111101101 => 10110111101
01111010111 => 10111101011 => 11010111101
01111101111 => 10111110111 => 11101111101
10110101010 => 01011010101 => 10101011010
10110101101 => 11011010110 => 01101011011
10110110101 => 11011011010 => 01011011011
10110111011 => 11011011101 => 10111011011
10111011010 => 01011101101 => 10110111010
10111011101 => 11011101110 => 01110111011
10111010101 => 11011101010 => 01010111011
10111011011 => 11011101101 => 10110111011
10111101101 => 11011110110 => 01101111011
10111101011 => 11011110101 => 10101111011
10111110111 => 11011111011 => 11011111011
10101101010 => 01010110101 => 10101101010
10101101101 => 11010110110 => 01101101011
10101110101 => 11010111010 => 01011101011
10101111011 => 11010111101 => 10111101011
10101011101 => 11010101110 => 01110101011
10101011011 => 11010101101 => 10110101011
10101101011 => 11010110101 => 10101101011
10101110111 => 11010111011 => 11011101011
10110111101 => 11011011110 => 01111011011
10110101011 => 11011010101 => 10101011011
10110110111 => 11011011011 => 11011011011
10111010111 => 11011101011 => 11010111011
10111101111 => 11011110111 => 11101111011
11011101010 => 01101110101 => 10101110110
11011101101 => 11101110110 => 01101110111
11011110101 => 11101111010 => 01011110111
11011111011 => 11101111101 => 10111110111
11011011010 => 01101101101 => 10110110110
11011011101 => 11101101110 => 01110110111
11011010110 => 01101101011 => 11010110110
11011010101 => 11101101010 => 01010110111
11011011011 => 11101101101 => 10110110111
11011101011 => 11101110101 => 10101110111
11011110111 => 11101111011 => 11011110111
11010111010 => 01101011101 => 10111010110
11010111101 => 11101011110 => 01111010111
11010110101 => 11101011010 => 01011010111
11010111011 => 11101011101 => 10111010111
11010101101 => 11101010110 => 01101010111
11010101011 => 11101010101 => 10101010111
11010110111 => 11101011011 => 11011010111
11011010111 => 11101101011 => 11010110111
11011101111 => 11101110111 => 11101110111
11101111010 => 01110111101 => 10111101110
11101111101 => 11110111110 => 01111101111
11101110101 => 11110111010 => 01011101111
11101111011 => 11110111101 => 10111101111
11101101101 => 11110110110 => 01101101111
11101101011 => 11110110101 => 10101101111
11101110111 => 11110111011 => 11011101111
11101011101 => 11110101110 => 01110101111
11101011011 => 11110101101 => 10110101111
11101010111 => 11110101011 => 11010101111
11101101111 => 11110110111 => 11101101111
11110111101 => 11111011110 => 01111011111
11110111011 => 11111011101 => 10111011111
11110110111 => 11111011011 => 11011011111
11110101111 => 11111010111 => 11101011111
11111011111 => 11111101111 => 11110111111
01000000111111 => 10100000011111 => 11111000000101
01000001011111 => 10100000101111 => 11110100000101
01000001101111 => 10100000110111 => 11101100000101
01000010011111 => 10100001001111 => 11110010000101
01000001110111 => 10100000111011 => 11011100000101
01000010101111 => 10100001010111 => 11101010000101
01000001111011 => 10100000111101 => 10111100000101
01000010110111 => 10100001011011 => 11011010000101
01000011001111 => 10100001100111 => 11100110000101
00110000011111 => 10011000001111 => 11110000011001
01001000011111 => 10100100001111 => 11110000100101
0000001100 => 0000000110 => 0110000000
0000011001 => 1000001100 => 0011000001
0000110011 => 1000011001 => 1001100001
0011001111 => 1001100111 => 1110011001
00000001100 => 00000000110 => 01100000000
00000011001 => 10000001100 => 00110000001
0000110100 => 0000011010 => 0101100000
00011001111 => 10001100111 => 11100110001
11001111111 => 11100111111 => 11111100111
0000000011 => 1000000001 => 1000000001
0000011011 => 1000001101 => 1011000001
0001101111 => 1000110111 => 1110110001
0011011111 => 1001101111 => 1111011001
00000000011 => 10000000001 => 10000000001
00000011011 => 10000001101 => 10110000001
0000110101 => 1000011010 => 0101100001
00001101111 => 10000110111 => 11101100001
0011010111 => 1001101011 => 1101011001
00110111111 => 10011011111 => 11111011001
01101111111 => 10110111111 => 11111101101
11011111111 => 11101111111 => 11111110111
10001010101 => 11000101010 => 01010100011
01111010101 => 10111101010 => 01010111101
10000010101 => 11000001010 => 01010000011
10000000101 => 11000000010 => 01000000011
0010000010 => 0001000001 => 1000001000
0001000011 => 1000100001 => 1000010001
0111001011 => 1011100101 => 1010011101
0111100111 => 1011110011 => 1100111101
0111110111 => 1011111011 => 1101111101
0110001011 => 1011000101 => 1010001101
0110000111 => 1011000011 => 1100001101
110000111001 => 111000011100 => 001110000111
110000110101 => 111000011010 => 010110000111
110010001101 => 111001000110 => 011000100111
110100001101 => 111010000110 => 011000010111
110000101101 => 111000010110 => 011010000111
110000011101 => 111000001110 => 011100000111
011100100011 => 101110010001 => 100010011101
011010010011 => 101101001001 => 100100101101
011100010011 => 101110001001 => 100100011101
011000110011 => 101100011001 => 100110001101
010110001011 => 101011000101 => 101000110101
011010001011 => 101101000101 => 101000101101
011100001011 => 101110000101 => 101000011101
011000101011 => 101100010101 => 101010001101
011000011011 => 101100001101 => 101100001101
101110000011 => 110111000001 => 100000111011
110100100011 => 111010010001 => 100010010111
111000100011 => 111100010001 => 100010001111
110010010011 => 111001001001 => 100100100111
110100010011 => 111010001001 => 100100010111
111000010011 => 111100001001 => 100100001111
110000110011 => 111000011001 => 100110000111
101100001011 => 110110000101 => 101000011011
110010001011 => 111001000101 => 101000100111
110100001011 => 111010000101 => 101000010111
111000001011 => 111100000101 => 101000001111
110000101011 => 111000010101 => 101010000111
110000011011 => 111000001101 => 101100000111
001110000111 => 100111000011 => 110000111001
010110000111 => 101011000011 => 110000110101
011010000111 => 101101000011 => 110000101101
011000100111 => 101100010011 => 110010001101
011000010111 => 101100001011 => 110100001101
110010000111 => 111001000011 => 110000100111
110000100111 => 111000010011 => 110010000111
110000010111 => 111000001011 => 110100000111
011000001111 => 101100000111 => 111000001101
01010101010101 => 10101010101010 => 01010101010101
0101010101010101 => 1010101010101010 => 0101010101010101
010101010101010101 => 101010101010101010 => 010101010101010101
01010101010101010101 => 10101010101010101010 => 01010101010101010101
0011011010 => 0001101101 => 1011011000
0100110110 => 0010011011 => 1101100100
0100011110 => 0010001111 => 1111000100
0010011110 => 0001001111 => 1111001000
001100111010 => 000110011101 => 101110011000
010010111010 => 001001011101 => 101110100100
001010111010 => 000101011101 => 101110101000
000110111010 => 000011011101 => 101110110000
010010110110 => 001001011011 => 110110100100
001010110110 => 000101011011 => 110110101000
000110110110 => 000011011011 => 110110110000
010001110110 => 001000111011 => 110111000100
001001101110 => 000100110111 => 111011001000
001000111110 => 000100011111 => 111110001000
000010111110 => 000001011111 => 111110100000
00100010110111 => 10010001011011 => 11011010001001
00100010101111 => 10010001010111 => 11101010001001
00100010011111 => 10010001001111 => 11110010001001
00100001111011 => 10010000111101 => 10111100001001
00100001110111 => 10010000111011 => 11011100001001
00100001101111 => 10010000110111 => 11101100001001
00100001011111 => 10010000101111 => 11110100001001
00100000111111 => 10010000011111 => 11111000001001
00011000110111 => 10001100011011 => 11011000110001
00011000011111 => 10001100001111 => 11110000110001
00010001111011 => 10001000111101 => 10111100010001
00010001110111 => 10001000111011 => 11011100010001
00010001101111 => 10001000110111 => 11101100010001
00010001011111 => 10001000101111 => 11110100010001
00010000111111 => 10001000011111 => 11111000010001
00001001110111 => 10000100111011 => 11011100100001
00001001101111 => 10000100110111 => 11101100100001
00001001011111 => 10000100101111 => 11110100100001
00001000111111 => 10000100011111 => 11111000100001
00000011111011 => 10000001111101 => 10111110000001
00000011110111 => 10000001111011 => 11011110000001
00000011101111 => 10000001110111 => 11101110000001
00000011011111 => 10000001101111 => 11110110000001
00000010111111 => 10000001011111 => 11111010000001
00000001111111 => 10000000111111 => 11111100000001
0101000000 => 0010100000 => 0000010100
0001010000 => 0000101000 => 0001010000
0100010000 => 0010001000 => 0001000100
0001000100 => 0000100010 => 0100010000
0111011100 => 0011101110 => 0111011100
0101000101 => 1010100010 => 0100010101
0001010101 => 1000101010 => 0101010001
0100010101 => 1010001010 => 0101000101
0110110101 => 1011011010 => 0101101101
0101010001 => 1010101000 => 0001010101
0100101001 => 1010010100 => 0010100101
0110001001 => 1011000100 => 0010001101
0101011011 => 1010101101 => 1011010101
0001001011 => 1000100101 => 1010010001
0110101011 => 1011010101 => 1010101101
0001100011 => 1000110001 => 1000110001
0110000011 => 1011000001 => 1000001101
0001110111 => 1000111011 => 1101110001
0111101111 => 1011110111 => 1110111101
010100000000 => 001010000000 => 000000010100
000101000000 => 000010100000 => 000001010000
010001000000 => 001000100000 => 000001000100
011011000000 => 001101100000 => 000001101100
000001010000 => 000000101000 => 000101000000
010101010000 => 001010101000 => 000101010100
000100010000 => 000010001000 => 000100010000
010000010000 => 001000001000 => 000100000100
000110110000 => 000011011000 => 000110110000
010010110000 => 001001011000 => 000110100100
011000110000 => 001100011000 => 000110001100
000000010100 => 000000001010 => 010100000000
010100010100 => 001010001010 => 010100010100
000101010100 => 000010101010 => 010101010000
010001010100 => 001000101010 => 010101000100
000001000100 => 000000100010 => 010001000000
010101000100 => 001010100010 => 010001010100
000100000100 => 000010000010 => 010000010000
010000000100 => 001000000010 => 010000000100
011010000100 => 001101000010 => 010000101100
000110100100 => 000011010010 => 010010110000
010010100100 => 001001010010 => 010010100100
011000100100 => 001100010010 => 010010001100
000001101100 => 000000110110 => 011011000000
010000101100 => 001000010110 => 011010000100
000110001100 => 000011000110 => 011000110000
010010001100 => 001001000110 => 011000100100
011000001100 => 001100000110 => 011000001100
011110111100 => 001111011110 => 011110111100
000000000101 => 100000000010 => 010000000001
010100000101 => 101010000010 => 010000010101
000101000101 => 100010100010 => 010001010001
010001000101 => 101000100010 => 010001000101
000001010101 => 100000101010 => 010101000001
000100010101 => 100010001010 => 010100010001
010000010101 => 101000001010 => 010100000101
011000110101 => 101100011010 => 010110001101
011101110101 => 101110111010 => 010111011101
000000010001 => 100000001000 => 000100000001
010100010001 => 101010001000 => 000100010101
000101010001 => 100010101000 => 000101010001
010001010001 => 101000101000 => 000101000101
000001000001 => 100000100000 => 000001000001
010101000001 => 101010100000 => 000001010101
000100000001 => 100010000000 => 000000010001
010000000001 => 101000000000 => 000000000101
011010000001 => 101101000000 => 000000101101
000110100001 => 100011010000 => 000010110001
010010100001 => 101001010000 => 000010100101
011000100001 => 101100010000 => 000010001101
000001101001 => 100000110100 => 001011000001
000100101001 => 100010010100 => 001010010001
010000101001 => 101000010100 => 001010000101
000110001001 => 100011000100 => 001000110001
010010001001 => 101001000100 => 001000100101
011000001001 => 101100000100 => 001000001101
000111011001 => 100011101100 => 001101110001
010011011001 => 101001101100 => 001101100101
011110111001 => 101111011100 => 001110111101
000000011011 => 100000001101 => 101100000001
011011011011 => 101101101101 => 101101101101
000001001011 => 100000100101 => 101001000001
000100001011 => 100010000101 => 101000010001
010000001011 => 101000000101 => 101000000101
011101101011 => 101110110101 => 101011011101
000001100011 => 100000110001 => 100011000001
010101100011 => 101010110001 => 100011010101
000100100011 => 100010010001 => 100010010001
010000100011 => 101000010001 => 100010000101
011010100011 => 101101010001 => 100010101101
000110000011 => 100011000001 => 100000110001
010010000011 => 101001000001 => 100000100101
011000000011 => 101100000001 => 100000001101
011110110011 => 101111011001 => 100110111101
010101110111 => 101010111011 => 110111010101
011010110111 => 101101011011 => 110110101101
011101010111 => 101110101011 => 110101011101
011001000111 => 101100100011 => 110001001101
011110100111 => 101111010011 => 110010111101
000111101111 => 100011110111 => 111011110001
010011101111 => 101001110111 => 111011100101
011001101111 => 101100110111 => 111011001101
011100101111 => 101110010111 => 111010011101
011110001111 => 101111000111 => 111000111101
011111011111 => 101111101111 => 111101111101
01110000000 => 00111000000 => 00000011100
01111100000 => 00111110000 => 00001111100
01111111000 => 00111111100 => 00111111100
101101010101 => 110110101010 => 010101011011
101011010101 => 110101101010 => 010101101011
100111010101 => 110011101010 => 010101110011
101100110101 => 110110011010 => 010110011011
110010110101 => 111001011010 => 010110100111
101010110101 => 110101011010 => 010110101011
100110110101 => 110011011010 => 010110110011
101001110101 => 110100111010 => 010111001011
100101110101 => 110010111010 => 010111010011
100011110101 => 110001111010 => 010111100011
101101001101 => 110110100110 => 011001011011
101011001101 => 110101100110 => 011001101011
100111001101 => 110011100110 => 011001110011
110100101101 => 111010010110 => 011010010111
101100101101 => 110110010110 => 011010011011
110010101101 => 111001010110 => 011010100111
101010101101 => 110101010110 => 011010101011
100110101101 => 110011010110 => 011010110011
110001101101 => 111000110110 => 011011000111
101001101101 => 110100110110 => 011011001011
100101101101 => 110010110110 => 011011010011
100011101101 => 110001110110 => 011011100011
101100011101 => 110110001110 => 011100011011
110010011101 => 111001001110 => 011100100111
101010011101 => 110101001110 => 011100101011
100110011101 => 110011001110 => 011100110011
110001011101 => 111000101110 => 011101000111
101001011101 => 110100101110 => 011101001011
100101011101 => 110010101110 => 011101010011
100011011101 => 110001101110 => 011101100011
101000111101 => 110100011110 => 011110001011
100100111101 => 110010011110 => 011110010011
100010111101 => 110001011110 => 011110100011
100001111101 => 110000111110 => 011111000011
101101010011 => 110110101001 => 100101011011
101011010011 => 110101101001 => 100101101011
100111010011 => 110011101001 => 100101110011
110010110011 => 111001011001 => 100110100111
101010110011 => 110101011001 => 100110101011
100011110011 => 110001111001 => 100111100011
110101001011 => 111010100101 => 101001010111
101101001011 => 110110100101 => 101001011011
110011001011 => 111001100101 => 101001100111
101011001011 => 110101100101 => 101001101011
100111001011 => 110011100101 => 101001110011
110100101011 => 111010010101 => 101010010111
101100101011 => 110110010101 => 101010011011
110010101011 => 111001010101 => 101010100111
101010101011 => 110101010101 => 101010101011
100110101011 => 110011010101 => 101010110011
110001101011 => 111000110101 => 101011000111
101001101011 => 110100110101 => 101011001011
100101101011 => 110010110101 => 101011010011
100011101011 => 110001110101 => 101011100011
110100011011 => 111010001101 => 101100010111
110010011011 => 111001001101 => 101100100111
101010011011 => 110101001101 => 101100101011
101001011011 => 110100101101 => 101101001011
100101011011 => 110010101101 => 101101010011
100011011011 => 110001101101 => 101101100011
110000111011 => 111000011101 => 101110000111
100010111011 => 110001011101 => 101110100011
100001111011 => 110000111101 => 101111000011
100111000111 => 110011100011 => 110001110011
110100100111 => 111010010011 => 110010010111
110010100111 => 111001010011 => 110010100111
101010100111 => 110101010011 => 110010101011
110001100111 => 111000110011 => 110011000111
100011100111 => 110001110011 => 110011100011
110100010111 => 111010001011 => 110100010111
101010010111 => 110101001011 => 110100101011
110001010111 => 111000101011 => 110101000111
101001010111 => 110100101011 => 110101001011
100101010111 => 110010101011 => 110101010011
100011010111 => 110001101011 => 110101100011
110000110111 => 111000011011 => 110110000111
100010110111 => 110001011011 => 110110100011
100001110111 => 110000111011 => 110111000011
101100001111 => 110110000111 => 111000011011
110010001111 => 111001000111 => 111000100111
100110001111 => 110011000111 => 111000110011
110001001111 => 111000100111 => 111001000111
100011001111 => 110001100111 => 111001100011
110000101111 => 111000010111 => 111010000111
100010101111 => 110001010111 => 111010100011
100001101111 => 110000110111 => 111011000011
101000011111 => 110100001111 => 111100001011
100100011111 => 110010001111 => 111100010011
100010011111 => 110001001111 => 111100100011
100001011111 => 110000101111 => 111101000011
100000111111 => 110000011111 => 111110000011
0000000111 => 1000000011 => 1100000001
0000001111 => 1000000111 => 1110000001
0001111111 => 1000111111 => 1111110001
0011111111 => 1001111111 => 1111111001
0000001011 => 1000000101 => 1010000001
00000001111 => 10000000111 => 11100000001
0000010111 => 1000001011 => 1101000001
00000111111 => 10000011111 => 11111000001
0001011111 => 1000101111 => 1111010001
0010111111 => 1001011111 => 1111101001
00011111111 => 10001111111 => 11111110001
00111111111 => 10011111111 => 11111111001
10110000000 => 01011000000 => 00000011010
10111000000 => 01011100000 => 00000111010
10111100000 => 01011110000 => 00001111010
10111111111 => 11011111111 => 11111111011
10000001011 => 11000000101 => 10100000011
10000101111 => 11000010111 => 11101000011
10101111111 => 11010111111 => 11111101011
0011011110 => 0001101111 => 1111011000
0011101110 => 0001110111 => 1110111000
0011110110 => 0001111011 => 1101111000
0011111010 => 0001111101 => 1011111000
0011111100 => 0001111110 => 0111111000
00101111110 => 00010111111 => 11111101000
00110111110 => 00011011111 => 11111011000
00111011110 => 00011101111 => 11110111000
00111101110 => 00011110111 => 11101111000
00111110110 => 00011111011 => 11011111000
00111111010 => 00011111101 => 10111111000
00111111100 => 00011111110 => 01111111000
0011011100 => 0001101110 => 0111011000
0010111001 => 1001011100 => 0011101001
0001111001 => 1000111100 => 0011110001
011000111100 => 001100011110 => 011110001100
010100111100 => 001010011110 => 011110010100
001100111001 => 100110011100 => 001110011001
001100111100 => 000110011110 => 011110011000
010010111100 => 001001011110 => 011110100100
001010111001 => 100101011100 => 001110101001
001010111100 => 000101011110 => 011110101000
000110111001 => 100011011100 => 001110110001
000110111100 => 000011011110 => 011110110000
001110110001 => 100111011000 => 000110111001
001110110010 => 000111011001 => 100110111000
001110110100 => 000111011010 => 010110111000
001110111000 => 000111011100 => 001110111000
001101101001 => 100110110100 => 001011011001
001001111001 => 100100111100 => 001111001001
000101111001 => 100010111100 => 001111010001
001101110001 => 100110111000 => 000111011001
001011100101 => 100101110010 => 010011101001
001011101001 => 100101110100 => 001011101001
000011111001 => 100001111100 => 001111100001
001011110001 => 100101111000 => 000111101001
000111100011 => 100011110001 => 100011110001
000111100101 => 100011110010 => 010011110001
000111101001 => 100011110100 => 001011110001
01010001010111 => 10101000101011 => 11010100010101
01010001001111 => 10101000100111 => 11100100010101
01010000101111 => 10101000010111 => 11101000010101
01000010111011 => 10100001011101 => 10111010000101
0000101010 => 0000010101 => 1010100000
11000000011 => 11100000001 => 10000000111
11000001111 => 11100000111 => 11100000111
11000111111 => 11100011111 => 11111000111
0111101101 => 1011110110 => 0110111101
0110001101 => 1011000110 => 0110001101
0110111101 => 1011011110 => 0111101101
0000100101 => 1000010010 => 0100100001
0011000001 => 1001100000 => 0000011001
0011100101 => 1001110010 => 0100111001
0010010001 => 1001001000 => 0001001001
0010000101 => 1001000010 => 0100001001
011111111111 => 101111111111 => 111111111101
011111111001 => 101111111100 => 001111111101
011111101101 => 101111110110 => 011011111101
011110000001 => 101111000000 => 000000111101
011110110111 => 101111011011 => 110110111101
011110111101 => 101111011110 => 011110111101
011001111001 => 101100111100 => 001111001101
011001100111 => 101100110011 => 110011001101
011001100001 => 101100110000 => 000011001101
011001101101 => 101100110110 => 011011001101
011000011111 => 101100001111 => 111100001101
011000011001 => 101100001100 => 001100001101
011000000001 => 101100000000 => 000000001101
011000001101 => 101100000110 => 011000001101
011000110111 => 101100011011 => 110110001101
011000110001 => 101100011000 => 000110001101
011000111101 => 101100011110 => 011110001101
011000100101 => 101100010010 => 010010001101
011011011111 => 101101101111 => 111101101101
011011011001 => 101101101100 => 001101101101
011011000111 => 101101100011 => 110001101101
011011000001 => 101101100000 => 000001101101
011011001101 => 101101100110 => 011001101101
011011110111 => 101101111011 => 110111101101
011011110001 => 101101111000 => 000111101101
011011100101 => 101101110010 => 010011101101
011010010111 => 101101001011 => 110100101101
011010010001 => 101101001000 => 000100101101
011010011101 => 101101001110 => 011100101101
011010000101 => 101101000010 => 010000101101
011010110101 => 101101011010 => 010110101101
000111100111 => 100011110011 => 110011110001
000111100001 => 100011110000 => 000011110001
000111101101 => 100011110110 => 011011110001
000110011111 => 100011001111 => 111100110001
000110011001 => 100011001100 => 001100110001
000110000001 => 100011000000 => 000000110001
000110001101 => 100011000110 => 011000110001
000110110111 => 100011011011 => 110110110001
000110110001 => 100011011000 => 000110110001
000110111101 => 100011011110 => 011110110001
000110100101 => 100011010010 => 010010110001
000001111001 => 100000111100 => 001111000001
000001100001 => 100000110000 => 000011000001
000001101101 => 100000110110 => 011011000001
000000011001 => 100000001100 => 001100000001
000000000001 => 100000000000 => 000000000001
000000001101 => 100000000110 => 011000000001
000000110111 => 100000011011 => 110110000001
000000110001 => 100000011000 => 000110000001
000000111101 => 100000011110 => 011110000001
000000100101 => 100000010010 => 010010000001
000011011111 => 100001101111 => 111101100001
000011011001 => 100001101100 => 001101100001
000011000111 => 100001100011 => 110001100001
000011000001 => 100001100000 => 000001100001
000011001101 => 100001100110 => 011001100001
000011110111 => 100001111011 => 110111100001
000011110001 => 100001111000 => 000111100001
000011100101 => 100001110010 => 010011100001
000010010111 => 100001001011 => 110100100001
000010010001 => 100001001000 => 000100100001
000010011101 => 100001001110 => 011100100001
000010000101 => 100001000010 => 010000100001
000010110101 => 100001011010 => 010110100001
001101111001 => 100110111100 => 001111011001
001101100111 => 100110110011 => 110011011001
001101100001 => 100110110000 => 000011011001
001101101101 => 100110110110 => 011011011001
001100011111 => 100110001111 => 111100011001
001100011001 => 100110001100 => 001100011001
001100000111 => 100110000011 => 110000011001
001100000001 => 100110000000 => 000000011001
001100001101 => 100110000110 => 011000011001
001100110111 => 100110011011 => 110110011001
001100110001 => 100110011000 => 000110011001
001100111101 => 100110011110 => 011110011001
001100100101 => 100110010010 => 010010011001
001111011111 => 100111101111 => 111101111001
001111000001 => 100111100000 => 000001111001
001111111101 => 100111111110 => 011111111001
001110010111 => 100111001011 => 110100111001
001110010001 => 100111001000 => 000100111001
001110011101 => 100111001110 => 011100111001
001110000101 => 100111000010 => 010000111001
001110110101 => 100111011010 => 010110111001
001001011111 => 100100101111 => 111101001001
001001011001 => 100100101100 => 001101001001
001001000111 => 100100100011 => 110001001001
001001000001 => 100100100000 => 000001001001
001001001101 => 100100100110 => 011001001001
001001110111 => 100100111011 => 110111001001
001001110001 => 100100111000 => 000111001001
001001111101 => 100100111110 => 011111001001
001001100101 => 100100110010 => 010011001001
001000010111 => 100100001011 => 110100001001
001000010001 => 100100001000 => 000100001001
001000011101 => 100100001110 => 011100001001
001000000101 => 100100000010 => 010000001001
001000110101 => 100100011010 => 010110001001
001011010111 => 100101101011 => 110101101001
001011010001 => 100101101000 => 000101101001
001011011101 => 100101101110 => 011101101001
001011000101 => 100101100010 => 010001101001
001011110101 => 100101111010 => 010111101001
001010010101 => 100101001010 => 010100101001
11010001000 => 01101000100 => 00100010110
00010010101 => 10001001010 => 01010010001
00010100101 => 10001010010 => 01001010001
00010101001 => 10001010100 => 00101010001
00010101010 => 00001010101 => 10101010000
00000100010 => 00000010001 => 10001000000
111000001110 => 011100000111 => 111000001110
001011011001 => 100101101100 => 001101101001
001110001101 => 100111000110 => 011000111001
001110010011 => 100111001001 => 100100111001
001110011001 => 100111001100 => 001100111001
001110011100 => 000111001110 => 011100111000
001110100101 => 100111010010 => 010010111001
001111001001 => 100111100100 => 001001111001
010010111001 => 101001011100 => 001110100101
11011100000 => 01101110000 => 00001110110
10110100000 => 01011010000 => 00001011010
11010100000 => 01101010000 => 00001010110
11000100000 => 01100010000 => 00001000110
01000100000 => 00100010000 => 00001000100
10101000000 => 01010100000 => 00000101010
111010000110 => 011101000011 => 110000101110
110100010110 => 011010001011 => 110100010110
110010001110 => 011001000111 => 111000100110
100110011100 => 010011001110 => 011100110010
100110110100 => 010011011010 => 010110110010
00000101110 => 00000010111 => 11101000000
00010111110 => 00001011111 => 11111010000
000010010101 => 100001001010 => 010100100001
0010010101 => 1001001010 => 0101001001
000010010011 => 100001001001 => 100100100001
0010010011 => 1001001001 => 1001001001
00010001011 => 10001000101 => 10100010001
0000101011 => 1000010101 => 1010100001
0000100111 => 1000010011 => 1100100001
0001001010 => 0000100101 => 1010010000
0000100100 => 0000010010 => 0100100000
111111111000000000 => 011111111100000000 => 000000001111111110
11111111110000000000 => 01111111111000000000 => 00000000011111111110
111111110000000100 => 011111111000000010 => 010000000111111110
0011000000 => 0001100000 => 0000011000
111111110010000000 => 011111111001000000 => 000000100111111110
111111110100000000 => 011111111010000000 => 000000010111111110
11111111100100000000 => 01111111110010000000 => 00000001001111111110
11111111101000000000 => 01111111110100000000 => 00000000101111111110
0101010111 => 1010101011 => 1101010101
111000010110 => 011100001011 => 110100001110
100100111100 => 010010011110 => 011110010010
110000110110 => 011000011011 => 110110000110
110100011010 => 011010001101 => 101100010110
111000011010 => 011100001101 => 101100001110
101100011100 => 010110001110 => 011100011010
110010011100 => 011001001110 => 011100100110
111111110000001000 => 011111111000000100 => 001000000111111110
11111111100000000100 => 01111111110000000010 => 01000000001111111110
01101010100 => 00110101010 => 01010101100
01100101010 => 00110010101 => 10101001100
01110101010 => 00111010101 => 10101011100
0101110101 => 1010111010 => 0101110101
11111100000 => 01111110000 => 00001111110
00111110000 => 00011111000 => 00011111000
01111100010 => 00111110001 => 10001111100
01000101111 => 10100010111 => 11101000101
0011100001 => 1001110000 => 0000111001
01010101000 => 00101010100 => 00101010100
01000000010 => 00100000001 => 10000000100
00010000000 => 00001000000 => 00000010000
00000001000 => 00000000100 => 00100000000
100111011101 => 110011101110 => 011101110011
100111110101 => 110011111010 => 010111110011
100000010101 => 110000001010 => 010100000011
110001001101 => 111000100110 => 011001000111
111101101001 => 111110110100 => 001011011111
111100101101 => 111110010110 => 011010011111
0000101000 => 0000010100 => 0010100000
110110000000 => 011011000000 => 000000110110
110110110110 => 011011011011 => 110110110110
110100100000 => 011010010000 => 000010010110
110100001000 => 011010000100 => 001000010110
110100000010 => 011010000001 => 100000010110
110101000110 => 011010100011 => 110001010110
110101101110 => 011010110111 => 111011010110
110001100000 => 011000110000 => 000011000110
110001001000 => 011000100100 => 001001000110
110001000010 => 011000100001 => 100001000110
110000011000 => 011000001100 => 001100000110
110000010010 => 011000001001 => 100100000110
110000000110 => 011000000011 => 110000000110
111101111000 => 011110111100 => 001111011110
111101110010 => 011110111001 => 100111011110
111101100110 => 011110110011 => 110011011110
111101001110 => 011110100111 => 111001011110
111100011110 => 011110001111 => 111100011110
111111110000010000 => 011111111000001000 => 000100000111111110
111111110000100000 => 011111111000010000 => 000010000111111110
111111110001000000 => 011111111000100000 => 000001000111111110
11111111100000001000 => 01111111110000000100 => 00100000001111111110
11111111100000010000 => 01111111110000001000 => 00010000001111111110
11111111100000100000 => 01111111110000010000 => 00001000001111111110
11111111100001000000 => 01111111110000100000 => 00000100001111111110
11111111100010000000 => 01111111110001000000 => 00000010001111111110
111111100100 => 011111110010 => 010011111110
100100100100 => 010010010010 => 010010010010
111110110100 => 011111011010 => 010110111110
111011110100 => 011101111010 => 010111101110
101111110100 => 010111111010 => 010111111010
100010010100 => 010001001010 => 010100100010
111110011100 => 011111001110 => 011100111110
111011011100 => 011101101110 => 011101101110
101111011100 => 010111101110 => 011101111010
111001111100 => 011100111110 => 011111001110
101101111100 => 010110111110 => 011111011010
100111111100 => 010011111110 => 011111110010
111000010000 => 011100001000 => 000100001110
101100010000 => 010110001000 => 000100011010
100110010000 => 010011001000 => 000100110010
100011010000 => 010001101000 => 000101100010
100001110000 => 010000111000 => 000111000010
110011110110 => 011001111011 => 110111100110
110001001110 => 011000100111 => 111001000110
110001101100 => 011000110110 => 011011000110
110001100110 => 011000110011 => 110011000110
110001110010 => 011000111001 => 100111000110
110000100100 => 011000010010 => 010010000110
111001000110 => 011100100011 => 110001001110
111101101100 => 011110110110 => 011011011110
111100110110 => 011110011011 => 110110011110
111111010010 => 011111101001 => 100101111110
100111000011 => 110011100001 => 100001110011
110001001011 => 111000100101 => 101001000111
110001000111 => 111000100011 => 110001000111
110010010110 => 011001001011 => 110100100110
110110000110 => 011011000011 => 110000110110
111100000110 => 011110000011 => 110000011110
110100001110 => 011010000111 => 111000010110
111110110110000000 => 011111011011000000 => 000000110110111110
01010100111 => 10101010011 => 11001010101
01010010111 => 10101001011 => 11010010101
01001010111 => 10100101011 => 11010100101
01000111011 => 10100011101 => 10111000101
00010111011 => 10001011101 => 10111010001
110010010000 => 011001001000 => 000100100110
0101001000 => 0010100100 => 0010010100
0101010000 => 0010101000 => 0001010100
0010010000 => 0001001000 => 0001001000
0100101000 => 0010010100 => 0010100100
01010101111 => 10101010111 => 11101010101
01010110111 => 10101011011 => 11011010101
01011010111 => 10101101011 => 11010110101
01101010111 => 10110101011 => 11010101101
10101010111 => 11010101011 => 11010101011
010110100011 => 101011010001 => 100010110101
110001100011 => 111000110001 => 100011000111
0010011001 => 1001001100 => 0011001001
0010100101 => 1001010010 => 0100101001
0011001001 => 1001100100 => 0010011001
0010110111 => 1001011011 => 1101101001
0010011111 => 1001001111 => 1111001001
0000111001 => 1000011100 => 0011100001
0010001101 => 1001000110 => 0110001001
0001010001 => 1000101000 => 0001010001
11010111100 => 01101011110 => 01111010110
11011110100 => 01101111010 => 01011110110
0110101101 => 1011010110 => 0110101101
0101101011 => 1010110101 => 1010110101
0101011101 => 1010101110 => 0111010101
10101001010111 => 11010100101011 => 11010100101011
101010100101010111 => 110101010010101011 => 110101010010101011
10100011010111 => 11010001101011 => 11010110001011
101010001101010111 => 110101000110101011 => 110101011000101011
10100001110111 => 11010000111011 => 11011100001011
10001011010111 => 11000101101011 => 11010110100011
0011000011 => 1001100001 => 1000011001
111111110011 => 111111111001 => 100111111111
111111001111 => 111111100111 => 111001111111
111111000011 => 111111100001 => 100001111111
111111011011 => 111111101101 => 101101111111
111100111111 => 111110011111 => 111110011111
111100110011 => 111110011001 => 100110011111
111100001111 => 111110000111 => 111000011111
111100011011 => 111110001101 => 101100011111
111101101111 => 111110110111 => 111011011111
111101100011 => 111110110001 => 100011011111
111101111011 => 111110111101 => 101111011111
111101001011 => 111110100101 => 101001011111
110011111111 => 111001111111 => 111111100111
110011110011 => 111001111001 => 100111100111
110011001111 => 111001100111 => 111001100111
110011011011 => 111001101101 => 101101100111
110000111111 => 111000011111 => 111110000111
110000000011 => 111000000001 => 100000000111
110001101111 => 111000110111 => 111011000111
110001111011 => 111000111101 => 101111000111
110110111111 => 111011011111 => 111110110111
110110110011 => 111011011001 => 100110110111
110110001111 => 111011000111 => 111000110111
110110011011 => 111011001101 => 101100110111
110111101111 => 111011110111 => 111011110111
110111100011 => 111011110001 => 100011110111
110111111011 => 111011111101 => 101111110111
110111001011 => 111011100101 => 101001110111
110100101111 => 111010010111 => 111010010111
110100111011 => 111010011101 => 101110010111
110101101011 => 111010110101 => 101011010111
001111111111 => 100111111111 => 111111111001
001111110011 => 100111111001 => 100111111001
001111001111 => 100111100111 => 111001111001
001100111111 => 100110011111 => 111110011001
001100000011 => 100110000001 => 100000011001
000011111111 => 100001111111 => 111111100001
000011000011 => 100001100001 => 100001100001
000000110011 => 100000011001 => 100110000001
000000001111 => 100000000111 => 111000000001
000000000011 => 100000000001 => 100000000001
000110111111 => 100011011111 => 111110110001
011000111111 => 101100011111 => 111110001101
011110111111 => 101111011111 => 111110111101
010010111111 => 101001011111 => 111110100101
010110101111 => 101011010111 => 111010110101
010110111011 => 101011011101 => 101110110101
11110000000 => 01111000000 => 00000011110
11011101000 => 01101110100 => 00101110110
01010101100 => 00101010110 => 01101010100
01010110100 => 00101011010 => 01011010100
01011010100 => 00101101010 => 01010110100
0111101011 => 1011110101 => 1010111101
111111111100 => 011111111110 => 011111111110
111111110000 => 011111111000 => 000111111110
111111110110 => 011111111011 => 110111111110
111111001100 => 011111100110 => 011001111110
111111000110 => 011111100011 => 110001111110
111111011000 => 011111101100 => 001101111110
111100111100 => 011110011110 => 011110011110
111100000000 => 011110000000 => 000000011110
111101011010 => 011110101101 => 101101011110
110011111100 => 011001111110 => 011111100110
110011000000 => 011001100000 => 000001100110
110000110000 => 011000011000 => 000110000110
110000001100 => 011000000110 => 011000000110
110000000000 => 011000000000 => 000000000110
110001011010 => 011000101101 => 101101000110
110110111100 => 011011011110 => 011110110110
110111101100 => 011011110110 => 011011110110
110111001110 => 011011100111 => 111001110110
110111011010 => 011011101101 => 101101110110
110100100110 => 011010010011 => 110010010110
110101111010 => 011010111101 => 101111010110
0011011101 => 1001101110 => 0111011001
0010000111 => 1001000011 => 1100001001
0011100111 => 1001110011 => 1100111001
0111011111 => 1011101111 => 1111011101
011111111101 => 101111111110 => 011111111101
011111110111 => 101111111011 => 110111111101
000111111101 => 100011111110 => 011111110001
111111110101 => 111111111010 => 010111111111
010111110101 => 101011111010 => 010111110101
111111010111 => 111111101011 => 110101111111
111111011101 => 111111101110 => 011101111111
011101111111 => 101110111111 => 111111011101
010111011101 => 101011101110 => 011101110101
010111010111 => 101011101011 => 110101110101
110111010101 => 111011101010 => 010101110111
000000011101 => 100000001110 => 011100000001
100111010111 => 110011101011 => 110101110011
111101011111 => 111110101111 => 111101011111
011111010101 => 101111101010 => 010101111101
101111010101 => 110111101010 => 010101111011
111101110111 => 111110111011 => 110111011111
111101111101 => 111110111110 => 011111011111
111111001001 => 111111100100 => 001001111111
010111111111 => 101011111111 => 111111110101
010101111101 => 101010111110 => 011111010101
110101110101 => 111010111010 => 010111010111
010101011111 => 101010101111 => 111101010101
110101010111 => 111010101011 => 110101010111
110101011101 => 111010101110 => 011101010111
000101111111 => 100010111111 => 111111010001
000000010111 => 100000001011 => 110100000001
001000010101 => 100100001010 => 010100001001
100101111101 => 110010111110 => 011111010011
001010010001 => 100101001000 => 000100101001
110101111111 => 111010111111 => 111111010111
011101011101 => 101110101110 => 011101011101
111101010101 => 111110101010 => 010101011111
001101011111 => 100110101111 => 111101011001
101101010111 => 110110101011 => 110101011011
101101011101 => 110110101110 => 011101011011
110111011111 => 111011101111 => 111101110111
001101110111 => 100110111011 => 110111011001
101101110101 => 110110111010 => 010111011011
110111110111 => 111011111011 => 110111110111
110111111101 => 111011111110 => 011111110111
000010110001 => 100001011000 => 000110100001
001000110001 => 100100011000 => 000110001001
111100100111 => 111110010011 => 110010011111
111100111001 => 111110011100 => 001110011111
01000001011 => 10100000101 => 10100000101
10111010000 => 01011101000 => 00010111010
10111110100 => 01011111010 => 01011111010
11010000010 => 01101000001 => 10000010110
11100000000001 => 11110000000000 => 00000000001111
1111111000000001 => 1111111100000000 => 0000000011111111
111111111111111001 => 111111111111111100 => 001111111111111111
1111101100000001 => 1111110110000000 => 0000000110111111
11111111100000000001 => 11111111110000000000 => 00000000001111111111
1110111100000001 => 1111011110000000 => 0000000111101111
1111101001000001 => 1111110100100000 => 0000010010111111
01110111111 => 10111011111 => 11111011101
110010000100 => 011001000010 => 010000100110
110000100001 => 111000010000 => 000010000111
101001000100 => 010100100010 => 010001001010
101000010100 => 010100001010 => 010100001010
0000110000 => 0000011000 => 0001100000
000000001100 => 000000000110 => 011000000000
000000110000 => 000000011000 => 000110000000
000000111100 => 000000011110 => 011110000000
000000100100 => 000000010010 => 010010000000
000011000000 => 000001100000 => 000001100000
000011001100 => 000001100110 => 011001100000
000011110000 => 000001111000 => 000111100000
000011100100 => 000001110010 => 010011100000
000010010000 => 000001001000 => 000100100000
000010011100 => 000001001110 => 011100100000
000010000100 => 000001000010 => 010000100000
000010110100 => 000001011010 => 010110100000
001100000000 => 000110000000 => 000000011000
001100001100 => 000110000110 => 011000011000
001100110000 => 000110011000 => 000110011000
001100100100 => 000110010010 => 010010011000
001111000000 => 000111100000 => 000001111000
001111111100 => 000111111110 => 011111111000
001110010000 => 000111001000 => 000100111000
001110000100 => 000111000010 => 010000111000
001001000000 => 000100100000 => 000001001000
001001001100 => 000100100110 => 011001001000
001001110000 => 000100111000 => 000111001000
001001100100 => 000100110010 => 010011001000
001000010000 => 000100001000 => 000100001000
001000011100 => 000100001110 => 011100001000
001000000100 => 000100000010 => 010000001000
001000110100 => 000100011010 => 010110001000
001011010000 => 000101101000 => 000101101000
001011000100 => 000101100010 => 010001101000
001010010100 => 000101001010 => 010100101000
111001000000 => 011100100000 => 000001001110
111000000100 => 011100000010 => 010000001110
100100000000 => 010010000000 => 000000010010
100100001100 => 010010000110 => 011000010010
100100110000 => 010010011000 => 000110010010
100111000000 => 010011100000 => 000001110010
100110000100 => 010011000010 => 010000110010
100001100100 => 010000110010 => 010011000010
100011000100 => 010001100010 => 010001100010
101101000000 => 010110100000 => 000001011010
101100000100 => 010110000010 => 010000011010
101001010000 => 010100101000 => 000101001010
101001011100 => 010100101110 => 011101001010
11111100011 => 11111110001 => 10001111111
11110001111 => 11111000111 => 11100011111
11110000011 => 11111000001 => 10000011111
11000100011 => 11100010001 => 10001000111
11000111011 => 11100011101 => 10111000111
11011100011 => 11101110001 => 10001110111
11010001011 => 11101000101 => 10100010111
00011111000 => 00001111100 => 00111110000
00011100011 => 10001110001 => 10001110001
00011100000 => 00001110000 => 00001110000
00011101110 => 00001110111 => 11101110000
00010001111 => 10001000111 => 11100010001
00010000011 => 10001000001 => 10000010001
00010001110 => 00001000111 => 11100010000
00000111000 => 00000011100 => 00111000000
00000100011 => 10000010001 => 10001000001
00000111011 => 10000011101 => 10111000001
00011101111 => 10001110111 => 11101110001
00011111011 => 10001111101 => 10111110001
00011100010 => 00001110001 => 10001110000
00010111010 => 00001011101 => 10111010000
01110111000 => 00111011100 => 00111011100
01110100011 => 10111010001 => 10001011101
01110001111 => 10111000111 => 11100011101
01110001000 => 00111000100 => 00100011100
01110000011 => 10111000001 => 10000011101
01110001110 => 00111000111 => 11100011100
01110111110 => 00111011111 => 11111011100
01110100010 => 00111010001 => 10001011100
01111100011 => 10111110001 => 10001111101
01111101110 => 00111110111 => 11101111100
01110001011 => 10111000101 => 10100011101
01110000010 => 00111000001 => 10000011100
01000100011 => 10100010001 => 10001000101
01000101110 => 00100010111 => 11101000100
01000111000 => 00100011100 => 00111000100
01000111110 => 00100011111 => 11111000100
01000001110 => 00100000111 => 11100000100
01000111010 => 00100011101 => 10111000100
01011101000 => 00101110100 => 00101110100
01011100010 => 00101110001 => 10001110100
01011111010 => 00101111101 => 10111110100
0000100001 => 1000010000 => 0000100001
000000001001 => 100000000100 => 001000000001
000000111001 => 100000011100 => 001110000001
000000100001 => 100000010000 => 000010000001
000000101101 => 100000010110 => 011010000001
000011001001 => 100001100100 => 001001100001
000011100001 => 100001110000 => 000011100001
000010011001 => 100001001100 => 001100100001
000010000111 => 100001000011 => 110000100001
000010000001 => 100001000000 => 000000100001
000010001101 => 100001000110 => 011000100001
000010100101 => 100001010010 => 010010100001
001100001001 => 100110000100 => 001000011001
001100100001 => 100110010000 => 000010011001
001111111001 => 100111111100 => 001111111001
001111100111 => 100111110011 => 110011111001
001111101101 => 100111110110 => 011011111001
001110011111 => 100111001111 => 111100111001
001110000001 => 100111000000 => 000000111001
001110110111 => 100111011011 => 110110111001
001110111101 => 100111011110 => 011110111001
001001000011 => 100100100001 => 100001001001
001001001001 => 100100100100 => 001001001001
001001111111 => 100100111111 => 111111001001
001001100001 => 100100110000 => 000011001001
001000010011 => 100100001001 => 100100001001
001000011001 => 100100001100 => 001100001001
001000000001 => 100100000000 => 000000001001
001000100101 => 100100010010 => 010010001001
001011011111 => 100101101111 => 111101101001
001011000001 => 100101100000 => 000001101001
001011110111 => 100101111011 => 110111101001
001011111101 => 100101111110 => 011111101001
001010000101 => 100101000010 => 010000101001
111111011100000000 => 011111101110000000 => 000000011101111110
011010011111 => 101101001111 => 111100101101
110010000001 => 111001000000 => 000000100111
011010001101 => 101101000110 => 011000101101
011000111001 => 101100011100 => 001110001101
110010111101 => 111001011110 => 011110100111
011010111101 => 101101011110 => 011110101101
110110111001 => 111011011100 => 001110110111
011000101101 => 101100010110 => 011010001101
110110101101 => 111011010110 => 011010110111
011110101101 => 101111010110 => 011010111101
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.
Map
reverse
Description
Return the reversal of a binary word.