Identifier
Mp00105: Binary words complementBinary words
Mp00096: Binary words Foata bijectionBinary words
Mp00105: Binary words complementBinary words
Images
0 => 1 => 1 => 0
1 => 0 => 0 => 1
00 => 11 => 11 => 00
01 => 10 => 10 => 01
10 => 01 => 01 => 10
11 => 00 => 00 => 11
000 => 111 => 111 => 000
001 => 110 => 110 => 001
010 => 101 => 101 => 010
011 => 100 => 010 => 101
100 => 011 => 011 => 100
101 => 010 => 100 => 011
110 => 001 => 001 => 110
111 => 000 => 000 => 111
0000 => 1111 => 1111 => 0000
0001 => 1110 => 1110 => 0001
0010 => 1101 => 1101 => 0010
0011 => 1100 => 0110 => 1001
0100 => 1011 => 1011 => 0100
0101 => 1010 => 1100 => 0011
0110 => 1001 => 0101 => 1010
0111 => 1000 => 0010 => 1101
1000 => 0111 => 0111 => 1000
1001 => 0110 => 1010 => 0101
1010 => 0101 => 1001 => 0110
1011 => 0100 => 0100 => 1011
1100 => 0011 => 0011 => 1100
1101 => 0010 => 1000 => 0111
1110 => 0001 => 0001 => 1110
1111 => 0000 => 0000 => 1111
00000 => 11111 => 11111 => 00000
00001 => 11110 => 11110 => 00001
00010 => 11101 => 11101 => 00010
00011 => 11100 => 01110 => 10001
00100 => 11011 => 11011 => 00100
00101 => 11010 => 11100 => 00011
00110 => 11001 => 01101 => 10010
00111 => 11000 => 00110 => 11001
01000 => 10111 => 10111 => 01000
01001 => 10110 => 11010 => 00101
01010 => 10101 => 11001 => 00110
01011 => 10100 => 01100 => 10011
01100 => 10011 => 01011 => 10100
01101 => 10010 => 10100 => 01011
01110 => 10001 => 00101 => 11010
01111 => 10000 => 00010 => 11101
10000 => 01111 => 01111 => 10000
10001 => 01110 => 10110 => 01001
10010 => 01101 => 10101 => 01010
10011 => 01100 => 01010 => 10101
10100 => 01011 => 10011 => 01100
10101 => 01010 => 11000 => 00111
10110 => 01001 => 01001 => 10110
10111 => 01000 => 00100 => 11011
11000 => 00111 => 00111 => 11000
11001 => 00110 => 10010 => 01101
11010 => 00101 => 10001 => 01110
11011 => 00100 => 01000 => 10111
11100 => 00011 => 00011 => 11100
11101 => 00010 => 10000 => 01111
11110 => 00001 => 00001 => 11110
11111 => 00000 => 00000 => 11111
000000 => 111111 => 111111 => 000000
000001 => 111110 => 111110 => 000001
000010 => 111101 => 111101 => 000010
000011 => 111100 => 011110 => 100001
000100 => 111011 => 111011 => 000100
000101 => 111010 => 111100 => 000011
000110 => 111001 => 011101 => 100010
000111 => 111000 => 001110 => 110001
001000 => 110111 => 110111 => 001000
001001 => 110110 => 111010 => 000101
001010 => 110101 => 111001 => 000110
001011 => 110100 => 011100 => 100011
001100 => 110011 => 011011 => 100100
001101 => 110010 => 101100 => 010011
001110 => 110001 => 001101 => 110010
001111 => 110000 => 000110 => 111001
010000 => 101111 => 101111 => 010000
010001 => 101110 => 110110 => 001001
010010 => 101101 => 110101 => 001010
010011 => 101100 => 011010 => 100101
010100 => 101011 => 110011 => 001100
010101 => 101010 => 111000 => 000111
010110 => 101001 => 011001 => 100110
010111 => 101000 => 001100 => 110011
011000 => 100111 => 010111 => 101000
011001 => 100110 => 101010 => 010101
011010 => 100101 => 101001 => 010110
011011 => 100100 => 010100 => 101011
011100 => 100011 => 001011 => 110100
011101 => 100010 => 100100 => 011011
011110 => 100001 => 000101 => 111010
011111 => 100000 => 000010 => 111101
100000 => 011111 => 011111 => 100000
100001 => 011110 => 101110 => 010001
100010 => 011101 => 101101 => 010010
100011 => 011100 => 010110 => 101001
100100 => 011011 => 101011 => 010100
100101 => 011010 => 110100 => 001011
100110 => 011001 => 010101 => 101010
>>> Load all 3970 entries. <<<
100111 => 011000 => 001010 => 110101
101000 => 010111 => 100111 => 011000
101001 => 010110 => 110010 => 001101
101010 => 010101 => 110001 => 001110
101011 => 010100 => 011000 => 100111
101100 => 010011 => 010011 => 101100
101101 => 010010 => 101000 => 010111
101110 => 010001 => 001001 => 110110
101111 => 010000 => 000100 => 111011
110000 => 001111 => 001111 => 110000
110001 => 001110 => 100110 => 011001
110010 => 001101 => 100101 => 011010
110011 => 001100 => 010010 => 101101
110100 => 001011 => 100011 => 011100
110101 => 001010 => 110000 => 001111
110110 => 001001 => 010001 => 101110
110111 => 001000 => 001000 => 110111
111000 => 000111 => 000111 => 111000
111001 => 000110 => 100010 => 011101
111010 => 000101 => 100001 => 011110
111011 => 000100 => 010000 => 101111
111100 => 000011 => 000011 => 111100
111101 => 000010 => 100000 => 011111
111110 => 000001 => 000001 => 111110
111111 => 000000 => 000000 => 111111
0000000 => 1111111 => 1111111 => 0000000
0000001 => 1111110 => 1111110 => 0000001
0000010 => 1111101 => 1111101 => 0000010
0000011 => 1111100 => 0111110 => 1000001
0000100 => 1111011 => 1111011 => 0000100
0000101 => 1111010 => 1111100 => 0000011
0000110 => 1111001 => 0111101 => 1000010
0000111 => 1111000 => 0011110 => 1100001
0001000 => 1110111 => 1110111 => 0001000
0001001 => 1110110 => 1111010 => 0000101
0001010 => 1110101 => 1111001 => 0000110
0001011 => 1110100 => 0111100 => 1000011
0001100 => 1110011 => 0111011 => 1000100
0001101 => 1110010 => 1011100 => 0100011
0001110 => 1110001 => 0011101 => 1100010
0001111 => 1110000 => 0001110 => 1110001
0010000 => 1101111 => 1101111 => 0010000
0010001 => 1101110 => 1110110 => 0001001
0010010 => 1101101 => 1110101 => 0001010
0010011 => 1101100 => 0111010 => 1000101
0010100 => 1101011 => 1110011 => 0001100
0010101 => 1101010 => 1111000 => 0000111
0010110 => 1101001 => 0111001 => 1000110
0010111 => 1101000 => 0011100 => 1100011
0011000 => 1100111 => 0110111 => 1001000
0011001 => 1100110 => 1011010 => 0100101
0011010 => 1100101 => 1011001 => 0100110
0011011 => 1100100 => 0101100 => 1010011
0011100 => 1100011 => 0011011 => 1100100
0011101 => 1100010 => 1001100 => 0110011
0011110 => 1100001 => 0001101 => 1110010
0011111 => 1100000 => 0000110 => 1111001
0100000 => 1011111 => 1011111 => 0100000
0100001 => 1011110 => 1101110 => 0010001
0100010 => 1011101 => 1101101 => 0010010
0100011 => 1011100 => 0110110 => 1001001
0100100 => 1011011 => 1101011 => 0010100
0100101 => 1011010 => 1110100 => 0001011
0100110 => 1011001 => 0110101 => 1001010
0100111 => 1011000 => 0011010 => 1100101
0101000 => 1010111 => 1100111 => 0011000
0101001 => 1010110 => 1110010 => 0001101
0101010 => 1010101 => 1110001 => 0001110
0101011 => 1010100 => 0111000 => 1000111
0101100 => 1010011 => 0110011 => 1001100
0101101 => 1010010 => 1011000 => 0100111
0101110 => 1010001 => 0011001 => 1100110
0101111 => 1010000 => 0001100 => 1110011
0110000 => 1001111 => 0101111 => 1010000
0110001 => 1001110 => 1010110 => 0101001
0110010 => 1001101 => 1010101 => 0101010
0110011 => 1001100 => 0101010 => 1010101
0110100 => 1001011 => 1010011 => 0101100
0110101 => 1001010 => 1101000 => 0010111
0110110 => 1001001 => 0101001 => 1010110
0110111 => 1001000 => 0010100 => 1101011
0111000 => 1000111 => 0010111 => 1101000
0111001 => 1000110 => 1001010 => 0110101
0111010 => 1000101 => 1001001 => 0110110
0111011 => 1000100 => 0100100 => 1011011
0111100 => 1000011 => 0001011 => 1110100
0111101 => 1000010 => 1000100 => 0111011
0111110 => 1000001 => 0000101 => 1111010
0111111 => 1000000 => 0000010 => 1111101
1000000 => 0111111 => 0111111 => 1000000
1000001 => 0111110 => 1011110 => 0100001
1000010 => 0111101 => 1011101 => 0100010
1000011 => 0111100 => 0101110 => 1010001
1000100 => 0111011 => 1011011 => 0100100
1000101 => 0111010 => 1101100 => 0010011
1000110 => 0111001 => 0101101 => 1010010
1000111 => 0111000 => 0010110 => 1101001
1001000 => 0110111 => 1010111 => 0101000
1001001 => 0110110 => 1101010 => 0010101
1001010 => 0110101 => 1101001 => 0010110
1001011 => 0110100 => 0110100 => 1001011
1001100 => 0110011 => 0101011 => 1010100
1001101 => 0110010 => 1010100 => 0101011
1001110 => 0110001 => 0010101 => 1101010
1001111 => 0110000 => 0001010 => 1110101
1010000 => 0101111 => 1001111 => 0110000
1010001 => 0101110 => 1100110 => 0011001
1010010 => 0101101 => 1100101 => 0011010
1010011 => 0101100 => 0110010 => 1001101
1010100 => 0101011 => 1100011 => 0011100
1010101 => 0101010 => 1110000 => 0001111
1010110 => 0101001 => 0110001 => 1001110
1010111 => 0101000 => 0011000 => 1100111
1011000 => 0100111 => 0100111 => 1011000
1011001 => 0100110 => 1010010 => 0101101
1011010 => 0100101 => 1010001 => 0101110
1011011 => 0100100 => 0101000 => 1010111
1011100 => 0100011 => 0010011 => 1101100
1011101 => 0100010 => 1001000 => 0110111
1011110 => 0100001 => 0001001 => 1110110
1011111 => 0100000 => 0000100 => 1111011
1100000 => 0011111 => 0011111 => 1100000
1100001 => 0011110 => 1001110 => 0110001
1100010 => 0011101 => 1001101 => 0110010
1100011 => 0011100 => 0100110 => 1011001
1100100 => 0011011 => 1001011 => 0110100
1100101 => 0011010 => 1100100 => 0011011
1100110 => 0011001 => 0100101 => 1011010
1100111 => 0011000 => 0010010 => 1101101
1101000 => 0010111 => 1000111 => 0111000
1101001 => 0010110 => 1100010 => 0011101
1101010 => 0010101 => 1100001 => 0011110
1101011 => 0010100 => 0110000 => 1001111
1101100 => 0010011 => 0100011 => 1011100
1101101 => 0010010 => 1010000 => 0101111
1101110 => 0010001 => 0010001 => 1101110
1101111 => 0010000 => 0001000 => 1110111
1110000 => 0001111 => 0001111 => 1110000
1110001 => 0001110 => 1000110 => 0111001
1110010 => 0001101 => 1000101 => 0111010
1110011 => 0001100 => 0100010 => 1011101
1110100 => 0001011 => 1000011 => 0111100
1110101 => 0001010 => 1100000 => 0011111
1110110 => 0001001 => 0100001 => 1011110
1110111 => 0001000 => 0010000 => 1101111
1111000 => 0000111 => 0000111 => 1111000
1111001 => 0000110 => 1000010 => 0111101
1111010 => 0000101 => 1000001 => 0111110
1111011 => 0000100 => 0100000 => 1011111
1111100 => 0000011 => 0000011 => 1111100
1111101 => 0000010 => 1000000 => 0111111
1111110 => 0000001 => 0000001 => 1111110
1111111 => 0000000 => 0000000 => 1111111
00000000 => 11111111 => 11111111 => 00000000
00000001 => 11111110 => 11111110 => 00000001
00000010 => 11111101 => 11111101 => 00000010
00000011 => 11111100 => 01111110 => 10000001
00000100 => 11111011 => 11111011 => 00000100
00000101 => 11111010 => 11111100 => 00000011
00000110 => 11111001 => 01111101 => 10000010
00000111 => 11111000 => 00111110 => 11000001
00001000 => 11110111 => 11110111 => 00001000
00001001 => 11110110 => 11111010 => 00000101
00001010 => 11110101 => 11111001 => 00000110
00001011 => 11110100 => 01111100 => 10000011
00001100 => 11110011 => 01111011 => 10000100
00001101 => 11110010 => 10111100 => 01000011
00001110 => 11110001 => 00111101 => 11000010
00001111 => 11110000 => 00011110 => 11100001
00010000 => 11101111 => 11101111 => 00010000
00010001 => 11101110 => 11110110 => 00001001
00010010 => 11101101 => 11110101 => 00001010
00010011 => 11101100 => 01111010 => 10000101
00010100 => 11101011 => 11110011 => 00001100
00010101 => 11101010 => 11111000 => 00000111
00010110 => 11101001 => 01111001 => 10000110
00010111 => 11101000 => 00111100 => 11000011
00011000 => 11100111 => 01110111 => 10001000
00011001 => 11100110 => 10111010 => 01000101
00011010 => 11100101 => 10111001 => 01000110
00011011 => 11100100 => 01011100 => 10100011
00011100 => 11100011 => 00111011 => 11000100
00011101 => 11100010 => 10011100 => 01100011
00011110 => 11100001 => 00011101 => 11100010
00011111 => 11100000 => 00001110 => 11110001
00100000 => 11011111 => 11011111 => 00100000
00100001 => 11011110 => 11101110 => 00010001
00100010 => 11011101 => 11101101 => 00010010
00100011 => 11011100 => 01110110 => 10001001
00100100 => 11011011 => 11101011 => 00010100
00100101 => 11011010 => 11110100 => 00001011
00100110 => 11011001 => 01110101 => 10001010
00100111 => 11011000 => 00111010 => 11000101
00101000 => 11010111 => 11100111 => 00011000
00101001 => 11010110 => 11110010 => 00001101
00101010 => 11010101 => 11110001 => 00001110
00101011 => 11010100 => 01111000 => 10000111
00101100 => 11010011 => 01110011 => 10001100
00101101 => 11010010 => 10111000 => 01000111
00101110 => 11010001 => 00111001 => 11000110
00101111 => 11010000 => 00011100 => 11100011
00110000 => 11001111 => 01101111 => 10010000
00110001 => 11001110 => 10110110 => 01001001
00110010 => 11001101 => 10110101 => 01001010
00110011 => 11001100 => 01011010 => 10100101
00110100 => 11001011 => 10110011 => 01001100
00110101 => 11001010 => 11011000 => 00100111
00110110 => 11001001 => 01011001 => 10100110
00110111 => 11001000 => 00101100 => 11010011
00111000 => 11000111 => 00110111 => 11001000
00111001 => 11000110 => 10011010 => 01100101
00111010 => 11000101 => 10011001 => 01100110
00111011 => 11000100 => 01001100 => 10110011
00111100 => 11000011 => 00011011 => 11100100
00111101 => 11000010 => 10001100 => 01110011
00111110 => 11000001 => 00001101 => 11110010
00111111 => 11000000 => 00000110 => 11111001
01000000 => 10111111 => 10111111 => 01000000
01000001 => 10111110 => 11011110 => 00100001
01000010 => 10111101 => 11011101 => 00100010
01000011 => 10111100 => 01101110 => 10010001
01000100 => 10111011 => 11011011 => 00100100
01000101 => 10111010 => 11101100 => 00010011
01000110 => 10111001 => 01101101 => 10010010
01000111 => 10111000 => 00110110 => 11001001
01001000 => 10110111 => 11010111 => 00101000
01001001 => 10110110 => 11101010 => 00010101
01001010 => 10110101 => 11101001 => 00010110
01001011 => 10110100 => 01110100 => 10001011
01001100 => 10110011 => 01101011 => 10010100
01001101 => 10110010 => 10110100 => 01001011
01001110 => 10110001 => 00110101 => 11001010
01001111 => 10110000 => 00011010 => 11100101
01010000 => 10101111 => 11001111 => 00110000
01010001 => 10101110 => 11100110 => 00011001
01010010 => 10101101 => 11100101 => 00011010
01010011 => 10101100 => 01110010 => 10001101
01010100 => 10101011 => 11100011 => 00011100
01010101 => 10101010 => 11110000 => 00001111
01010110 => 10101001 => 01110001 => 10001110
01010111 => 10101000 => 00111000 => 11000111
01011000 => 10100111 => 01100111 => 10011000
01011001 => 10100110 => 10110010 => 01001101
01011010 => 10100101 => 10110001 => 01001110
01011011 => 10100100 => 01011000 => 10100111
01011100 => 10100011 => 00110011 => 11001100
01011101 => 10100010 => 10011000 => 01100111
01011110 => 10100001 => 00011001 => 11100110
01011111 => 10100000 => 00001100 => 11110011
01100000 => 10011111 => 01011111 => 10100000
01100001 => 10011110 => 10101110 => 01010001
01100010 => 10011101 => 10101101 => 01010010
01100011 => 10011100 => 01010110 => 10101001
01100100 => 10011011 => 10101011 => 01010100
01100101 => 10011010 => 11010100 => 00101011
01100110 => 10011001 => 01010101 => 10101010
01100111 => 10011000 => 00101010 => 11010101
01101000 => 10010111 => 10100111 => 01011000
01101001 => 10010110 => 11010010 => 00101101
01101010 => 10010101 => 11010001 => 00101110
01101011 => 10010100 => 01101000 => 10010111
01101100 => 10010011 => 01010011 => 10101100
01101101 => 10010010 => 10101000 => 01010111
01101110 => 10010001 => 00101001 => 11010110
01101111 => 10010000 => 00010100 => 11101011
01110000 => 10001111 => 00101111 => 11010000
01110001 => 10001110 => 10010110 => 01101001
01110010 => 10001101 => 10010101 => 01101010
01110011 => 10001100 => 01001010 => 10110101
01110100 => 10001011 => 10010011 => 01101100
01110101 => 10001010 => 11001000 => 00110111
01110110 => 10001001 => 01001001 => 10110110
01110111 => 10001000 => 00100100 => 11011011
01111000 => 10000111 => 00010111 => 11101000
01111001 => 10000110 => 10001010 => 01110101
01111010 => 10000101 => 10001001 => 01110110
01111011 => 10000100 => 01000100 => 10111011
01111100 => 10000011 => 00001011 => 11110100
01111101 => 10000010 => 10000100 => 01111011
01111110 => 10000001 => 00000101 => 11111010
01111111 => 10000000 => 00000010 => 11111101
10000000 => 01111111 => 01111111 => 10000000
10000001 => 01111110 => 10111110 => 01000001
10000010 => 01111101 => 10111101 => 01000010
10000011 => 01111100 => 01011110 => 10100001
10000100 => 01111011 => 10111011 => 01000100
10000101 => 01111010 => 11011100 => 00100011
10000110 => 01111001 => 01011101 => 10100010
10000111 => 01111000 => 00101110 => 11010001
10001000 => 01110111 => 10110111 => 01001000
10001001 => 01110110 => 11011010 => 00100101
10001010 => 01110101 => 11011001 => 00100110
10001011 => 01110100 => 01101100 => 10010011
10001100 => 01110011 => 01011011 => 10100100
10001101 => 01110010 => 10101100 => 01010011
10001110 => 01110001 => 00101101 => 11010010
10001111 => 01110000 => 00010110 => 11101001
10010000 => 01101111 => 10101111 => 01010000
10010001 => 01101110 => 11010110 => 00101001
10010010 => 01101101 => 11010101 => 00101010
10010011 => 01101100 => 01101010 => 10010101
10010100 => 01101011 => 11010011 => 00101100
10010101 => 01101010 => 11101000 => 00010111
10010110 => 01101001 => 01101001 => 10010110
10010111 => 01101000 => 00110100 => 11001011
10011000 => 01100111 => 01010111 => 10101000
10011001 => 01100110 => 10101010 => 01010101
10011010 => 01100101 => 10101001 => 01010110
10011011 => 01100100 => 01010100 => 10101011
10011100 => 01100011 => 00101011 => 11010100
10011101 => 01100010 => 10010100 => 01101011
10011110 => 01100001 => 00010101 => 11101010
10011111 => 01100000 => 00001010 => 11110101
10100000 => 01011111 => 10011111 => 01100000
10100001 => 01011110 => 11001110 => 00110001
10100010 => 01011101 => 11001101 => 00110010
10100011 => 01011100 => 01100110 => 10011001
10100100 => 01011011 => 11001011 => 00110100
10100101 => 01011010 => 11100100 => 00011011
10100110 => 01011001 => 01100101 => 10011010
10100111 => 01011000 => 00110010 => 11001101
10101000 => 01010111 => 11000111 => 00111000
10101001 => 01010110 => 11100010 => 00011101
10101010 => 01010101 => 11100001 => 00011110
10101011 => 01010100 => 01110000 => 10001111
10101100 => 01010011 => 01100011 => 10011100
10101101 => 01010010 => 10110000 => 01001111
10101110 => 01010001 => 00110001 => 11001110
10101111 => 01010000 => 00011000 => 11100111
10110000 => 01001111 => 01001111 => 10110000
10110001 => 01001110 => 10100110 => 01011001
10110010 => 01001101 => 10100101 => 01011010
10110011 => 01001100 => 01010010 => 10101101
10110100 => 01001011 => 10100011 => 01011100
10110101 => 01001010 => 11010000 => 00101111
10110110 => 01001001 => 01010001 => 10101110
10110111 => 01001000 => 00101000 => 11010111
10111000 => 01000111 => 00100111 => 11011000
10111001 => 01000110 => 10010010 => 01101101
10111010 => 01000101 => 10010001 => 01101110
10111011 => 01000100 => 01001000 => 10110111
10111100 => 01000011 => 00010011 => 11101100
10111101 => 01000010 => 10001000 => 01110111
10111110 => 01000001 => 00001001 => 11110110
10111111 => 01000000 => 00000100 => 11111011
11000000 => 00111111 => 00111111 => 11000000
11000001 => 00111110 => 10011110 => 01100001
11000010 => 00111101 => 10011101 => 01100010
11000011 => 00111100 => 01001110 => 10110001
11000100 => 00111011 => 10011011 => 01100100
11000101 => 00111010 => 11001100 => 00110011
11000110 => 00111001 => 01001101 => 10110010
11000111 => 00111000 => 00100110 => 11011001
11001000 => 00110111 => 10010111 => 01101000
11001001 => 00110110 => 11001010 => 00110101
11001010 => 00110101 => 11001001 => 00110110
11001011 => 00110100 => 01100100 => 10011011
11001100 => 00110011 => 01001011 => 10110100
11001101 => 00110010 => 10100100 => 01011011
11001110 => 00110001 => 00100101 => 11011010
11001111 => 00110000 => 00010010 => 11101101
11010000 => 00101111 => 10001111 => 01110000
11010001 => 00101110 => 11000110 => 00111001
11010010 => 00101101 => 11000101 => 00111010
11010011 => 00101100 => 01100010 => 10011101
11010100 => 00101011 => 11000011 => 00111100
11010101 => 00101010 => 11100000 => 00011111
11010110 => 00101001 => 01100001 => 10011110
11010111 => 00101000 => 00110000 => 11001111
11011000 => 00100111 => 01000111 => 10111000
11011001 => 00100110 => 10100010 => 01011101
11011010 => 00100101 => 10100001 => 01011110
11011011 => 00100100 => 01010000 => 10101111
11011100 => 00100011 => 00100011 => 11011100
11011101 => 00100010 => 10010000 => 01101111
11011110 => 00100001 => 00010001 => 11101110
11011111 => 00100000 => 00001000 => 11110111
11100000 => 00011111 => 00011111 => 11100000
11100001 => 00011110 => 10001110 => 01110001
11100010 => 00011101 => 10001101 => 01110010
11100011 => 00011100 => 01000110 => 10111001
11100100 => 00011011 => 10001011 => 01110100
11100101 => 00011010 => 11000100 => 00111011
11100110 => 00011001 => 01000101 => 10111010
11100111 => 00011000 => 00100010 => 11011101
11101000 => 00010111 => 10000111 => 01111000
11101001 => 00010110 => 11000010 => 00111101
11101010 => 00010101 => 11000001 => 00111110
11101011 => 00010100 => 01100000 => 10011111
11101100 => 00010011 => 01000011 => 10111100
11101101 => 00010010 => 10100000 => 01011111
11101110 => 00010001 => 00100001 => 11011110
11101111 => 00010000 => 00010000 => 11101111
11110000 => 00001111 => 00001111 => 11110000
11110001 => 00001110 => 10000110 => 01111001
11110010 => 00001101 => 10000101 => 01111010
11110011 => 00001100 => 01000010 => 10111101
11110100 => 00001011 => 10000011 => 01111100
11110101 => 00001010 => 11000000 => 00111111
11110110 => 00001001 => 01000001 => 10111110
11110111 => 00001000 => 00100000 => 11011111
11111000 => 00000111 => 00000111 => 11111000
11111001 => 00000110 => 10000010 => 01111101
11111010 => 00000101 => 10000001 => 01111110
11111011 => 00000100 => 01000000 => 10111111
11111100 => 00000011 => 00000011 => 11111100
11111101 => 00000010 => 10000000 => 01111111
11111110 => 00000001 => 00000001 => 11111110
11111111 => 00000000 => 00000000 => 11111111
000000000 => 111111111 => 111111111 => 000000000
000000001 => 111111110 => 111111110 => 000000001
000000010 => 111111101 => 111111101 => 000000010
000000011 => 111111100 => 011111110 => 100000001
000000100 => 111111011 => 111111011 => 000000100
000000101 => 111111010 => 111111100 => 000000011
000000110 => 111111001 => 011111101 => 100000010
000000111 => 111111000 => 001111110 => 110000001
000001000 => 111110111 => 111110111 => 000001000
000001001 => 111110110 => 111111010 => 000000101
000001010 => 111110101 => 111111001 => 000000110
000001011 => 111110100 => 011111100 => 100000011
000001100 => 111110011 => 011111011 => 100000100
000001101 => 111110010 => 101111100 => 010000011
000001110 => 111110001 => 001111101 => 110000010
000001111 => 111110000 => 000111110 => 111000001
000010000 => 111101111 => 111101111 => 000010000
000010001 => 111101110 => 111110110 => 000001001
000010010 => 111101101 => 111110101 => 000001010
000010011 => 111101100 => 011111010 => 100000101
000010100 => 111101011 => 111110011 => 000001100
000010101 => 111101010 => 111111000 => 000000111
000010110 => 111101001 => 011111001 => 100000110
000010111 => 111101000 => 001111100 => 110000011
000011000 => 111100111 => 011110111 => 100001000
000011001 => 111100110 => 101111010 => 010000101
000011010 => 111100101 => 101111001 => 010000110
000011011 => 111100100 => 010111100 => 101000011
000011100 => 111100011 => 001111011 => 110000100
000011101 => 111100010 => 100111100 => 011000011
000011110 => 111100001 => 000111101 => 111000010
000011111 => 111100000 => 000011110 => 111100001
000100000 => 111011111 => 111011111 => 000100000
000100001 => 111011110 => 111101110 => 000010001
000100010 => 111011101 => 111101101 => 000010010
000100011 => 111011100 => 011110110 => 100001001
000100100 => 111011011 => 111101011 => 000010100
000100101 => 111011010 => 111110100 => 000001011
000100110 => 111011001 => 011110101 => 100001010
000100111 => 111011000 => 001111010 => 110000101
000101000 => 111010111 => 111100111 => 000011000
000101001 => 111010110 => 111110010 => 000001101
000101010 => 111010101 => 111110001 => 000001110
000101011 => 111010100 => 011111000 => 100000111
000101100 => 111010011 => 011110011 => 100001100
000101101 => 111010010 => 101111000 => 010000111
000101110 => 111010001 => 001111001 => 110000110
000101111 => 111010000 => 000111100 => 111000011
000110000 => 111001111 => 011101111 => 100010000
000110001 => 111001110 => 101110110 => 010001001
000110010 => 111001101 => 101110101 => 010001010
000110011 => 111001100 => 010111010 => 101000101
000110100 => 111001011 => 101110011 => 010001100
000110101 => 111001010 => 110111000 => 001000111
000110110 => 111001001 => 010111001 => 101000110
000110111 => 111001000 => 001011100 => 110100011
000111000 => 111000111 => 001110111 => 110001000
000111001 => 111000110 => 100111010 => 011000101
000111010 => 111000101 => 100111001 => 011000110
000111011 => 111000100 => 010011100 => 101100011
000111100 => 111000011 => 000111011 => 111000100
000111101 => 111000010 => 100011100 => 011100011
000111110 => 111000001 => 000011101 => 111100010
000111111 => 111000000 => 000001110 => 111110001
001000000 => 110111111 => 110111111 => 001000000
001000001 => 110111110 => 111011110 => 000100001
001000010 => 110111101 => 111011101 => 000100010
001000011 => 110111100 => 011101110 => 100010001
001000100 => 110111011 => 111011011 => 000100100
001000101 => 110111010 => 111101100 => 000010011
001000110 => 110111001 => 011101101 => 100010010
001000111 => 110111000 => 001110110 => 110001001
001001000 => 110110111 => 111010111 => 000101000
001001001 => 110110110 => 111101010 => 000010101
001001010 => 110110101 => 111101001 => 000010110
001001011 => 110110100 => 011110100 => 100001011
001001100 => 110110011 => 011101011 => 100010100
001001101 => 110110010 => 101110100 => 010001011
001001110 => 110110001 => 001110101 => 110001010
001001111 => 110110000 => 000111010 => 111000101
001010000 => 110101111 => 111001111 => 000110000
001010001 => 110101110 => 111100110 => 000011001
001010010 => 110101101 => 111100101 => 000011010
001010011 => 110101100 => 011110010 => 100001101
001010100 => 110101011 => 111100011 => 000011100
001010101 => 110101010 => 111110000 => 000001111
001010110 => 110101001 => 011110001 => 100001110
001010111 => 110101000 => 001111000 => 110000111
001011000 => 110100111 => 011100111 => 100011000
001011001 => 110100110 => 101110010 => 010001101
001011010 => 110100101 => 101110001 => 010001110
001011011 => 110100100 => 010111000 => 101000111
001011100 => 110100011 => 001110011 => 110001100
001011101 => 110100010 => 100111000 => 011000111
001011110 => 110100001 => 000111001 => 111000110
001011111 => 110100000 => 000011100 => 111100011
001100000 => 110011111 => 011011111 => 100100000
001100001 => 110011110 => 101101110 => 010010001
001100010 => 110011101 => 101101101 => 010010010
001100011 => 110011100 => 010110110 => 101001001
001100100 => 110011011 => 101101011 => 010010100
001100101 => 110011010 => 110110100 => 001001011
001100110 => 110011001 => 010110101 => 101001010
001100111 => 110011000 => 001011010 => 110100101
001101000 => 110010111 => 101100111 => 010011000
001101001 => 110010110 => 110110010 => 001001101
001101010 => 110010101 => 110110001 => 001001110
001101011 => 110010100 => 011011000 => 100100111
001101100 => 110010011 => 010110011 => 101001100
001101101 => 110010010 => 101011000 => 010100111
001101110 => 110010001 => 001011001 => 110100110
001101111 => 110010000 => 000101100 => 111010011
001110000 => 110001111 => 001101111 => 110010000
001110001 => 110001110 => 100110110 => 011001001
001110010 => 110001101 => 100110101 => 011001010
001110011 => 110001100 => 010011010 => 101100101
001110100 => 110001011 => 100110011 => 011001100
001110101 => 110001010 => 110011000 => 001100111
001110110 => 110001001 => 010011001 => 101100110
001110111 => 110001000 => 001001100 => 110110011
001111000 => 110000111 => 000110111 => 111001000
001111001 => 110000110 => 100011010 => 011100101
001111010 => 110000101 => 100011001 => 011100110
001111011 => 110000100 => 010001100 => 101110011
001111100 => 110000011 => 000011011 => 111100100
001111101 => 110000010 => 100001100 => 011110011
001111110 => 110000001 => 000001101 => 111110010
001111111 => 110000000 => 000000110 => 111111001
010000000 => 101111111 => 101111111 => 010000000
010000001 => 101111110 => 110111110 => 001000001
010000010 => 101111101 => 110111101 => 001000010
010000011 => 101111100 => 011011110 => 100100001
010000100 => 101111011 => 110111011 => 001000100
010000101 => 101111010 => 111011100 => 000100011
010000110 => 101111001 => 011011101 => 100100010
010000111 => 101111000 => 001101110 => 110010001
010001000 => 101110111 => 110110111 => 001001000
010001001 => 101110110 => 111011010 => 000100101
010001010 => 101110101 => 111011001 => 000100110
010001011 => 101110100 => 011101100 => 100010011
010001100 => 101110011 => 011011011 => 100100100
010001101 => 101110010 => 101101100 => 010010011
010001110 => 101110001 => 001101101 => 110010010
010001111 => 101110000 => 000110110 => 111001001
010010000 => 101101111 => 110101111 => 001010000
010010001 => 101101110 => 111010110 => 000101001
010010010 => 101101101 => 111010101 => 000101010
010010011 => 101101100 => 011101010 => 100010101
010010100 => 101101011 => 111010011 => 000101100
010010101 => 101101010 => 111101000 => 000010111
010010110 => 101101001 => 011101001 => 100010110
010010111 => 101101000 => 001110100 => 110001011
010011000 => 101100111 => 011010111 => 100101000
010011001 => 101100110 => 101101010 => 010010101
010011010 => 101100101 => 101101001 => 010010110
010011011 => 101100100 => 010110100 => 101001011
010011100 => 101100011 => 001101011 => 110010100
010011101 => 101100010 => 100110100 => 011001011
010011110 => 101100001 => 000110101 => 111001010
010011111 => 101100000 => 000011010 => 111100101
010100000 => 101011111 => 110011111 => 001100000
010100001 => 101011110 => 111001110 => 000110001
010100010 => 101011101 => 111001101 => 000110010
010100011 => 101011100 => 011100110 => 100011001
010100100 => 101011011 => 111001011 => 000110100
010100101 => 101011010 => 111100100 => 000011011
010100110 => 101011001 => 011100101 => 100011010
010100111 => 101011000 => 001110010 => 110001101
010101000 => 101010111 => 111000111 => 000111000
010101001 => 101010110 => 111100010 => 000011101
010101010 => 101010101 => 111100001 => 000011110
010101011 => 101010100 => 011110000 => 100001111
010101100 => 101010011 => 011100011 => 100011100
010101101 => 101010010 => 101110000 => 010001111
010101110 => 101010001 => 001110001 => 110001110
010101111 => 101010000 => 000111000 => 111000111
010110000 => 101001111 => 011001111 => 100110000
010110001 => 101001110 => 101100110 => 010011001
010110010 => 101001101 => 101100101 => 010011010
010110011 => 101001100 => 010110010 => 101001101
010110100 => 101001011 => 101100011 => 010011100
010110101 => 101001010 => 110110000 => 001001111
010110110 => 101001001 => 010110001 => 101001110
010110111 => 101001000 => 001011000 => 110100111
010111000 => 101000111 => 001100111 => 110011000
010111001 => 101000110 => 100110010 => 011001101
010111010 => 101000101 => 100110001 => 011001110
010111011 => 101000100 => 010011000 => 101100111
010111100 => 101000011 => 000110011 => 111001100
010111101 => 101000010 => 100011000 => 011100111
010111110 => 101000001 => 000011001 => 111100110
010111111 => 101000000 => 000001100 => 111110011
011000000 => 100111111 => 010111111 => 101000000
011000001 => 100111110 => 101011110 => 010100001
011000010 => 100111101 => 101011101 => 010100010
011000011 => 100111100 => 010101110 => 101010001
011000100 => 100111011 => 101011011 => 010100100
011000101 => 100111010 => 110101100 => 001010011
011000110 => 100111001 => 010101101 => 101010010
011000111 => 100111000 => 001010110 => 110101001
011001000 => 100110111 => 101010111 => 010101000
011001001 => 100110110 => 110101010 => 001010101
011001010 => 100110101 => 110101001 => 001010110
011001011 => 100110100 => 011010100 => 100101011
011001100 => 100110011 => 010101011 => 101010100
011001101 => 100110010 => 101010100 => 010101011
011001110 => 100110001 => 001010101 => 110101010
011001111 => 100110000 => 000101010 => 111010101
011010000 => 100101111 => 101001111 => 010110000
011010001 => 100101110 => 110100110 => 001011001
011010010 => 100101101 => 110100101 => 001011010
011010011 => 100101100 => 011010010 => 100101101
011010100 => 100101011 => 110100011 => 001011100
011010101 => 100101010 => 111010000 => 000101111
011010110 => 100101001 => 011010001 => 100101110
011010111 => 100101000 => 001101000 => 110010111
011011000 => 100100111 => 010100111 => 101011000
011011001 => 100100110 => 101010010 => 010101101
011011010 => 100100101 => 101010001 => 010101110
011011011 => 100100100 => 010101000 => 101010111
011011100 => 100100011 => 001010011 => 110101100
011011101 => 100100010 => 100101000 => 011010111
011011110 => 100100001 => 000101001 => 111010110
011011111 => 100100000 => 000010100 => 111101011
011100000 => 100011111 => 001011111 => 110100000
011100001 => 100011110 => 100101110 => 011010001
011100010 => 100011101 => 100101101 => 011010010
011100011 => 100011100 => 010010110 => 101101001
011100100 => 100011011 => 100101011 => 011010100
011100101 => 100011010 => 110010100 => 001101011
011100110 => 100011001 => 010010101 => 101101010
011100111 => 100011000 => 001001010 => 110110101
011101000 => 100010111 => 100100111 => 011011000
011101001 => 100010110 => 110010010 => 001101101
011101010 => 100010101 => 110010001 => 001101110
011101011 => 100010100 => 011001000 => 100110111
011101100 => 100010011 => 010010011 => 101101100
011101101 => 100010010 => 101001000 => 010110111
011101110 => 100010001 => 001001001 => 110110110
011101111 => 100010000 => 000100100 => 111011011
011110000 => 100001111 => 000101111 => 111010000
011110001 => 100001110 => 100010110 => 011101001
011110010 => 100001101 => 100010101 => 011101010
011110011 => 100001100 => 010001010 => 101110101
011110100 => 100001011 => 100010011 => 011101100
011110101 => 100001010 => 110001000 => 001110111
011110110 => 100001001 => 010001001 => 101110110
011110111 => 100001000 => 001000100 => 110111011
011111000 => 100000111 => 000010111 => 111101000
011111001 => 100000110 => 100001010 => 011110101
011111010 => 100000101 => 100001001 => 011110110
011111011 => 100000100 => 010000100 => 101111011
011111100 => 100000011 => 000001011 => 111110100
011111101 => 100000010 => 100000100 => 011111011
011111110 => 100000001 => 000000101 => 111111010
011111111 => 100000000 => 000000010 => 111111101
100000000 => 011111111 => 011111111 => 100000000
100000001 => 011111110 => 101111110 => 010000001
100000010 => 011111101 => 101111101 => 010000010
100000011 => 011111100 => 010111110 => 101000001
100000100 => 011111011 => 101111011 => 010000100
100000101 => 011111010 => 110111100 => 001000011
100000110 => 011111001 => 010111101 => 101000010
100000111 => 011111000 => 001011110 => 110100001
100001000 => 011110111 => 101110111 => 010001000
100001001 => 011110110 => 110111010 => 001000101
100001010 => 011110101 => 110111001 => 001000110
100001011 => 011110100 => 011011100 => 100100011
100001100 => 011110011 => 010111011 => 101000100
100001101 => 011110010 => 101011100 => 010100011
100001110 => 011110001 => 001011101 => 110100010
100001111 => 011110000 => 000101110 => 111010001
100010000 => 011101111 => 101101111 => 010010000
100010001 => 011101110 => 110110110 => 001001001
100010010 => 011101101 => 110110101 => 001001010
100010011 => 011101100 => 011011010 => 100100101
100010100 => 011101011 => 110110011 => 001001100
100010101 => 011101010 => 111011000 => 000100111
100010110 => 011101001 => 011011001 => 100100110
100010111 => 011101000 => 001101100 => 110010011
100011000 => 011100111 => 010110111 => 101001000
100011001 => 011100110 => 101011010 => 010100101
100011010 => 011100101 => 101011001 => 010100110
100011011 => 011100100 => 010101100 => 101010011
100011100 => 011100011 => 001011011 => 110100100
100011101 => 011100010 => 100101100 => 011010011
100011110 => 011100001 => 000101101 => 111010010
100011111 => 011100000 => 000010110 => 111101001
100100000 => 011011111 => 101011111 => 010100000
100100001 => 011011110 => 110101110 => 001010001
100100010 => 011011101 => 110101101 => 001010010
100100011 => 011011100 => 011010110 => 100101001
100100100 => 011011011 => 110101011 => 001010100
100100101 => 011011010 => 111010100 => 000101011
100100110 => 011011001 => 011010101 => 100101010
100100111 => 011011000 => 001101010 => 110010101
100101000 => 011010111 => 110100111 => 001011000
100101001 => 011010110 => 111010010 => 000101101
100101010 => 011010101 => 111010001 => 000101110
100101011 => 011010100 => 011101000 => 100010111
100101100 => 011010011 => 011010011 => 100101100
100101101 => 011010010 => 101101000 => 010010111
100101110 => 011010001 => 001101001 => 110010110
100101111 => 011010000 => 000110100 => 111001011
100110000 => 011001111 => 010101111 => 101010000
100110001 => 011001110 => 101010110 => 010101001
100110010 => 011001101 => 101010101 => 010101010
100110011 => 011001100 => 010101010 => 101010101
100110100 => 011001011 => 101010011 => 010101100
100110101 => 011001010 => 110101000 => 001010111
100110110 => 011001001 => 010101001 => 101010110
100110111 => 011001000 => 001010100 => 110101011
100111000 => 011000111 => 001010111 => 110101000
100111001 => 011000110 => 100101010 => 011010101
100111010 => 011000101 => 100101001 => 011010110
100111011 => 011000100 => 010010100 => 101101011
100111100 => 011000011 => 000101011 => 111010100
100111101 => 011000010 => 100010100 => 011101011
100111110 => 011000001 => 000010101 => 111101010
100111111 => 011000000 => 000001010 => 111110101
101000000 => 010111111 => 100111111 => 011000000
101000001 => 010111110 => 110011110 => 001100001
101000010 => 010111101 => 110011101 => 001100010
101000011 => 010111100 => 011001110 => 100110001
101000100 => 010111011 => 110011011 => 001100100
101000101 => 010111010 => 111001100 => 000110011
101000110 => 010111001 => 011001101 => 100110010
101000111 => 010111000 => 001100110 => 110011001
101001000 => 010110111 => 110010111 => 001101000
101001001 => 010110110 => 111001010 => 000110101
101001010 => 010110101 => 111001001 => 000110110
101001011 => 010110100 => 011100100 => 100011011
101001100 => 010110011 => 011001011 => 100110100
101001101 => 010110010 => 101100100 => 010011011
101001110 => 010110001 => 001100101 => 110011010
101001111 => 010110000 => 000110010 => 111001101
101010000 => 010101111 => 110001111 => 001110000
101010001 => 010101110 => 111000110 => 000111001
101010010 => 010101101 => 111000101 => 000111010
101010011 => 010101100 => 011100010 => 100011101
101010100 => 010101011 => 111000011 => 000111100
101010101 => 010101010 => 111100000 => 000011111
101010110 => 010101001 => 011100001 => 100011110
101010111 => 010101000 => 001110000 => 110001111
101011000 => 010100111 => 011000111 => 100111000
101011001 => 010100110 => 101100010 => 010011101
101011010 => 010100101 => 101100001 => 010011110
101011011 => 010100100 => 010110000 => 101001111
101011100 => 010100011 => 001100011 => 110011100
101011101 => 010100010 => 100110000 => 011001111
101011110 => 010100001 => 000110001 => 111001110
101011111 => 010100000 => 000011000 => 111100111
101100000 => 010011111 => 010011111 => 101100000
101100001 => 010011110 => 101001110 => 010110001
101100010 => 010011101 => 101001101 => 010110010
101100011 => 010011100 => 010100110 => 101011001
101100100 => 010011011 => 101001011 => 010110100
101100101 => 010011010 => 110100100 => 001011011
101100110 => 010011001 => 010100101 => 101011010
101100111 => 010011000 => 001010010 => 110101101
101101000 => 010010111 => 101000111 => 010111000
101101001 => 010010110 => 110100010 => 001011101
101101010 => 010010101 => 110100001 => 001011110
101101011 => 010010100 => 011010000 => 100101111
101101100 => 010010011 => 010100011 => 101011100
101101101 => 010010010 => 101010000 => 010101111
101101110 => 010010001 => 001010001 => 110101110
101101111 => 010010000 => 000101000 => 111010111
101110000 => 010001111 => 001001111 => 110110000
101110001 => 010001110 => 100100110 => 011011001
101110010 => 010001101 => 100100101 => 011011010
101110011 => 010001100 => 010010010 => 101101101
101110100 => 010001011 => 100100011 => 011011100
101110101 => 010001010 => 110010000 => 001101111
101110110 => 010001001 => 010010001 => 101101110
101110111 => 010001000 => 001001000 => 110110111
101111000 => 010000111 => 000100111 => 111011000
101111001 => 010000110 => 100010010 => 011101101
101111010 => 010000101 => 100010001 => 011101110
101111011 => 010000100 => 010001000 => 101110111
101111100 => 010000011 => 000010011 => 111101100
101111101 => 010000010 => 100001000 => 011110111
101111110 => 010000001 => 000001001 => 111110110
101111111 => 010000000 => 000000100 => 111111011
110000000 => 001111111 => 001111111 => 110000000
110000001 => 001111110 => 100111110 => 011000001
110000010 => 001111101 => 100111101 => 011000010
110000011 => 001111100 => 010011110 => 101100001
110000100 => 001111011 => 100111011 => 011000100
110000101 => 001111010 => 110011100 => 001100011
110000110 => 001111001 => 010011101 => 101100010
110000111 => 001111000 => 001001110 => 110110001
110001000 => 001110111 => 100110111 => 011001000
110001001 => 001110110 => 110011010 => 001100101
110001010 => 001110101 => 110011001 => 001100110
110001011 => 001110100 => 011001100 => 100110011
110001100 => 001110011 => 010011011 => 101100100
110001101 => 001110010 => 101001100 => 010110011
110001110 => 001110001 => 001001101 => 110110010
110001111 => 001110000 => 000100110 => 111011001
110010000 => 001101111 => 100101111 => 011010000
110010001 => 001101110 => 110010110 => 001101001
110010010 => 001101101 => 110010101 => 001101010
110010011 => 001101100 => 011001010 => 100110101
110010100 => 001101011 => 110010011 => 001101100
110010101 => 001101010 => 111001000 => 000110111
110010110 => 001101001 => 011001001 => 100110110
110010111 => 001101000 => 001100100 => 110011011
110011000 => 001100111 => 010010111 => 101101000
110011001 => 001100110 => 101001010 => 010110101
110011010 => 001100101 => 101001001 => 010110110
110011011 => 001100100 => 010100100 => 101011011
110011100 => 001100011 => 001001011 => 110110100
110011101 => 001100010 => 100100100 => 011011011
110011110 => 001100001 => 000100101 => 111011010
110011111 => 001100000 => 000010010 => 111101101
110100000 => 001011111 => 100011111 => 011100000
110100001 => 001011110 => 110001110 => 001110001
110100010 => 001011101 => 110001101 => 001110010
110100011 => 001011100 => 011000110 => 100111001
110100100 => 001011011 => 110001011 => 001110100
110100101 => 001011010 => 111000100 => 000111011
110100110 => 001011001 => 011000101 => 100111010
110100111 => 001011000 => 001100010 => 110011101
110101000 => 001010111 => 110000111 => 001111000
110101001 => 001010110 => 111000010 => 000111101
110101010 => 001010101 => 111000001 => 000111110
110101011 => 001010100 => 011100000 => 100011111
110101100 => 001010011 => 011000011 => 100111100
110101101 => 001010010 => 101100000 => 010011111
110101110 => 001010001 => 001100001 => 110011110
110101111 => 001010000 => 000110000 => 111001111
110110000 => 001001111 => 010001111 => 101110000
110110001 => 001001110 => 101000110 => 010111001
110110010 => 001001101 => 101000101 => 010111010
110110011 => 001001100 => 010100010 => 101011101
110110100 => 001001011 => 101000011 => 010111100
110110101 => 001001010 => 110100000 => 001011111
110110110 => 001001001 => 010100001 => 101011110
110110111 => 001001000 => 001010000 => 110101111
110111000 => 001000111 => 001000111 => 110111000
110111001 => 001000110 => 100100010 => 011011101
110111010 => 001000101 => 100100001 => 011011110
110111011 => 001000100 => 010010000 => 101101111
110111100 => 001000011 => 000100011 => 111011100
110111101 => 001000010 => 100010000 => 011101111
110111110 => 001000001 => 000010001 => 111101110
110111111 => 001000000 => 000001000 => 111110111
111000000 => 000111111 => 000111111 => 111000000
111000001 => 000111110 => 100011110 => 011100001
111000010 => 000111101 => 100011101 => 011100010
111000011 => 000111100 => 010001110 => 101110001
111000100 => 000111011 => 100011011 => 011100100
111000101 => 000111010 => 110001100 => 001110011
111000110 => 000111001 => 010001101 => 101110010
111000111 => 000111000 => 001000110 => 110111001
111001000 => 000110111 => 100010111 => 011101000
111001001 => 000110110 => 110001010 => 001110101
111001010 => 000110101 => 110001001 => 001110110
111001011 => 000110100 => 011000100 => 100111011
111001100 => 000110011 => 010001011 => 101110100
111001101 => 000110010 => 101000100 => 010111011
111001110 => 000110001 => 001000101 => 110111010
111001111 => 000110000 => 000100010 => 111011101
111010000 => 000101111 => 100001111 => 011110000
111010001 => 000101110 => 110000110 => 001111001
111010010 => 000101101 => 110000101 => 001111010
111010011 => 000101100 => 011000010 => 100111101
111010100 => 000101011 => 110000011 => 001111100
111010101 => 000101010 => 111000000 => 000111111
111010110 => 000101001 => 011000001 => 100111110
111010111 => 000101000 => 001100000 => 110011111
111011000 => 000100111 => 010000111 => 101111000
111011001 => 000100110 => 101000010 => 010111101
111011010 => 000100101 => 101000001 => 010111110
111011011 => 000100100 => 010100000 => 101011111
111011100 => 000100011 => 001000011 => 110111100
111011101 => 000100010 => 100100000 => 011011111
111011110 => 000100001 => 000100001 => 111011110
111011111 => 000100000 => 000010000 => 111101111
111100000 => 000011111 => 000011111 => 111100000
111100001 => 000011110 => 100001110 => 011110001
111100010 => 000011101 => 100001101 => 011110010
111100011 => 000011100 => 010000110 => 101111001
111100100 => 000011011 => 100001011 => 011110100
111100101 => 000011010 => 110000100 => 001111011
111100110 => 000011001 => 010000101 => 101111010
111100111 => 000011000 => 001000010 => 110111101
111101000 => 000010111 => 100000111 => 011111000
111101001 => 000010110 => 110000010 => 001111101
111101010 => 000010101 => 110000001 => 001111110
111101011 => 000010100 => 011000000 => 100111111
111101100 => 000010011 => 010000011 => 101111100
111101101 => 000010010 => 101000000 => 010111111
111101110 => 000010001 => 001000001 => 110111110
111101111 => 000010000 => 000100000 => 111011111
111110000 => 000001111 => 000001111 => 111110000
111110001 => 000001110 => 100000110 => 011111001
111110010 => 000001101 => 100000101 => 011111010
111110011 => 000001100 => 010000010 => 101111101
111110100 => 000001011 => 100000011 => 011111100
111110101 => 000001010 => 110000000 => 001111111
111110110 => 000001001 => 010000001 => 101111110
111110111 => 000001000 => 001000000 => 110111111
111111000 => 000000111 => 000000111 => 111111000
111111001 => 000000110 => 100000010 => 011111101
111111010 => 000000101 => 100000001 => 011111110
111111011 => 000000100 => 010000000 => 101111111
111111100 => 000000011 => 000000011 => 111111100
111111101 => 000000010 => 100000000 => 011111111
111111110 => 000000001 => 000000001 => 111111110
111111111 => 000000000 => 000000000 => 111111111
1010101010 => 0101010101 => 1111000001 => 0000111110
1010101100 => 0101010011 => 0111000011 => 1000111100
1010110010 => 0101001101 => 1011000101 => 0100111010
1010110100 => 0101001011 => 1011000011 => 0100111100
1010111000 => 0101000111 => 0011000111 => 1100111000
1011001010 => 0100110101 => 1101001001 => 0010110110
1011001100 => 0100110011 => 0101001011 => 1010110100
1011010010 => 0100101101 => 1101000101 => 0010111010
1011010100 => 0100101011 => 1101000011 => 0010111100
1011011000 => 0100100111 => 0101000111 => 1010111000
1011100010 => 0100011101 => 1001001101 => 0110110010
1011100100 => 0100011011 => 1001001011 => 0110110100
1011101000 => 0100010111 => 1001000111 => 0110111000
1011110000 => 0100001111 => 0001001111 => 1110110000
1100101010 => 0011010101 => 1110010001 => 0001101110
1100101100 => 0011010011 => 0110010011 => 1001101100
1100110010 => 0011001101 => 1010010101 => 0101101010
1100110100 => 0011001011 => 1010010011 => 0101101100
1100111000 => 0011000111 => 0010010111 => 1101101000
1101001010 => 0010110101 => 1110001001 => 0001110110
1101001100 => 0010110011 => 0110001011 => 1001110100
1101010010 => 0010101101 => 1110000101 => 0001111010
1101010100 => 0010101011 => 1110000011 => 0001111100
1101011000 => 0010100111 => 0110000111 => 1001111000
1101100010 => 0010011101 => 1010001101 => 0101110010
1101100100 => 0010011011 => 1010001011 => 0101110100
1101101000 => 0010010111 => 1010000111 => 0101111000
1101110000 => 0010001111 => 0010001111 => 1101110000
1110001010 => 0001110101 => 1100011001 => 0011100110
1110001100 => 0001110011 => 0100011011 => 1011100100
1110010010 => 0001101101 => 1100010101 => 0011101010
1110010100 => 0001101011 => 1100010011 => 0011101100
1110011000 => 0001100111 => 0100010111 => 1011101000
1110100010 => 0001011101 => 1100001101 => 0011110010
1110100100 => 0001011011 => 1100001011 => 0011110100
1110101000 => 0001010111 => 1100000111 => 0011111000
1110110000 => 0001001111 => 0100001111 => 1011110000
1111000010 => 0000111101 => 1000011101 => 0111100010
1111000100 => 0000111011 => 1000011011 => 0111100100
1111001000 => 0000110111 => 1000010111 => 0111101000
1111010000 => 0000101111 => 1000001111 => 0111110000
1111100000 => 0000011111 => 0000011111 => 1111100000
101010101010 => 010101010101 => 111110000001 => 000001111110
101010101100 => 010101010011 => 011110000011 => 100001111100
101010110010 => 010101001101 => 101110000101 => 010001111010
101010110100 => 010101001011 => 101110000011 => 010001111100
101010111000 => 010101000111 => 001110000111 => 110001111000
101011001010 => 010100110101 => 110110001001 => 001001110110
101011001100 => 010100110011 => 010110001011 => 101001110100
101011010010 => 010100101101 => 110110000101 => 001001111010
101011010100 => 010100101011 => 110110000011 => 001001111100
101011011000 => 010100100111 => 010110000111 => 101001111000
101011100010 => 010100011101 => 100110001101 => 011001110010
101011100100 => 010100011011 => 100110001011 => 011001110100
101011101000 => 010100010111 => 100110000111 => 011001111000
101011110000 => 010100001111 => 000110001111 => 111001110000
101100101010 => 010011010101 => 111010010001 => 000101101110
101100101100 => 010011010011 => 011010010011 => 100101101100
101100110010 => 010011001101 => 101010010101 => 010101101010
101100110100 => 010011001011 => 101010010011 => 010101101100
101100111000 => 010011000111 => 001010010111 => 110101101000
101101001010 => 010010110101 => 111010001001 => 000101110110
101101001100 => 010010110011 => 011010001011 => 100101110100
101101010010 => 010010101101 => 111010000101 => 000101111010
101101010100 => 010010101011 => 111010000011 => 000101111100
101101011000 => 010010100111 => 011010000111 => 100101111000
101101100010 => 010010011101 => 101010001101 => 010101110010
101101100100 => 010010011011 => 101010001011 => 010101110100
101101101000 => 010010010111 => 101010000111 => 010101111000
101101110000 => 010010001111 => 001010001111 => 110101110000
101110001010 => 010001110101 => 110010011001 => 001101100110
101110001100 => 010001110011 => 010010011011 => 101101100100
101110010010 => 010001101101 => 110010010101 => 001101101010
101110010100 => 010001101011 => 110010010011 => 001101101100
101110011000 => 010001100111 => 010010010111 => 101101101000
101110100010 => 010001011101 => 110010001101 => 001101110010
101110100100 => 010001011011 => 110010001011 => 001101110100
101110101000 => 010001010111 => 110010000111 => 001101111000
101110110000 => 010001001111 => 010010001111 => 101101110000
101111000010 => 010000111101 => 100010011101 => 011101100010
101111000100 => 010000111011 => 100010011011 => 011101100100
101111001000 => 010000110111 => 100010010111 => 011101101000
101111010000 => 010000101111 => 100010001111 => 011101110000
101111100000 => 010000011111 => 000010011111 => 111101100000
110010101010 => 001101010101 => 111100100001 => 000011011110
110010101100 => 001101010011 => 011100100011 => 100011011100
110010110010 => 001101001101 => 101100100101 => 010011011010
110010110100 => 001101001011 => 101100100011 => 010011011100
110010111000 => 001101000111 => 001100100111 => 110011011000
110011001010 => 001100110101 => 110100101001 => 001011010110
110011001100 => 001100110011 => 010100101011 => 101011010100
110011010010 => 001100101101 => 110100100101 => 001011011010
110011010100 => 001100101011 => 110100100011 => 001011011100
110011011000 => 001100100111 => 010100100111 => 101011011000
110011100010 => 001100011101 => 100100101101 => 011011010010
110011100100 => 001100011011 => 100100101011 => 011011010100
110011101000 => 001100010111 => 100100100111 => 011011011000
110011110000 => 001100001111 => 000100101111 => 111011010000
110100101010 => 001011010101 => 111100010001 => 000011101110
110100101100 => 001011010011 => 011100010011 => 100011101100
110100110010 => 001011001101 => 101100010101 => 010011101010
110100110100 => 001011001011 => 101100010011 => 010011101100
110100111000 => 001011000111 => 001100010111 => 110011101000
110101001010 => 001010110101 => 111100001001 => 000011110110
110101001100 => 001010110011 => 011100001011 => 100011110100
110101010010 => 001010101101 => 111100000101 => 000011111010
110101010100 => 001010101011 => 111100000011 => 000011111100
110101011000 => 001010100111 => 011100000111 => 100011111000
110101100010 => 001010011101 => 101100001101 => 010011110010
110101100100 => 001010011011 => 101100001011 => 010011110100
110101101000 => 001010010111 => 101100000111 => 010011111000
110101110000 => 001010001111 => 001100001111 => 110011110000
110110001010 => 001001110101 => 110100011001 => 001011100110
110110001100 => 001001110011 => 010100011011 => 101011100100
110110010010 => 001001101101 => 110100010101 => 001011101010
110110010100 => 001001101011 => 110100010011 => 001011101100
110110011000 => 001001100111 => 010100010111 => 101011101000
110110100010 => 001001011101 => 110100001101 => 001011110010
110110100100 => 001001011011 => 110100001011 => 001011110100
110110101000 => 001001010111 => 110100000111 => 001011111000
110110110000 => 001001001111 => 010100001111 => 101011110000
110111000010 => 001000111101 => 100100011101 => 011011100010
110111000100 => 001000111011 => 100100011011 => 011011100100
110111001000 => 001000110111 => 100100010111 => 011011101000
110111010000 => 001000101111 => 100100001111 => 011011110000
110111100000 => 001000011111 => 000100011111 => 111011100000
111000101010 => 000111010101 => 111000110001 => 000111001110
111000101100 => 000111010011 => 011000110011 => 100111001100
111000110010 => 000111001101 => 101000110101 => 010111001010
111000110100 => 000111001011 => 101000110011 => 010111001100
111000111000 => 000111000111 => 001000110111 => 110111001000
111001001010 => 000110110101 => 111000101001 => 000111010110
111001001100 => 000110110011 => 011000101011 => 100111010100
111001010010 => 000110101101 => 111000100101 => 000111011010
111001010100 => 000110101011 => 111000100011 => 000111011100
111001011000 => 000110100111 => 011000100111 => 100111011000
111001100010 => 000110011101 => 101000101101 => 010111010010
111001100100 => 000110011011 => 101000101011 => 010111010100
111001101000 => 000110010111 => 101000100111 => 010111011000
111001110000 => 000110001111 => 001000101111 => 110111010000
111010001010 => 000101110101 => 111000011001 => 000111100110
111010001100 => 000101110011 => 011000011011 => 100111100100
111010010010 => 000101101101 => 111000010101 => 000111101010
111010010100 => 000101101011 => 111000010011 => 000111101100
111010011000 => 000101100111 => 011000010111 => 100111101000
111010100010 => 000101011101 => 111000001101 => 000111110010
111010100100 => 000101011011 => 111000001011 => 000111110100
111010101000 => 000101010111 => 111000000111 => 000111111000
111010110000 => 000101001111 => 011000001111 => 100111110000
111011000010 => 000100111101 => 101000011101 => 010111100010
111011000100 => 000100111011 => 101000011011 => 010111100100
111011001000 => 000100110111 => 101000010111 => 010111101000
111011010000 => 000100101111 => 101000001111 => 010111110000
111011100000 => 000100011111 => 001000011111 => 110111100000
111100001010 => 000011110101 => 110000111001 => 001111000110
111100001100 => 000011110011 => 010000111011 => 101111000100
111100010010 => 000011101101 => 110000110101 => 001111001010
111100010100 => 000011101011 => 110000110011 => 001111001100
111100011000 => 000011100111 => 010000110111 => 101111001000
111100100010 => 000011011101 => 110000101101 => 001111010010
111100100100 => 000011011011 => 110000101011 => 001111010100
111100101000 => 000011010111 => 110000100111 => 001111011000
111100110000 => 000011001111 => 010000101111 => 101111010000
111101000010 => 000010111101 => 110000011101 => 001111100010
111101000100 => 000010111011 => 110000011011 => 001111100100
111101001000 => 000010110111 => 110000010111 => 001111101000
111101010000 => 000010101111 => 110000001111 => 001111110000
111101100000 => 000010011111 => 010000011111 => 101111100000
111110000010 => 000001111101 => 100000111101 => 011111000010
111110000100 => 000001111011 => 100000111011 => 011111000100
111110001000 => 000001110111 => 100000110111 => 011111001000
111110010000 => 000001101111 => 100000101111 => 011111010000
111110100000 => 000001011111 => 100000011111 => 011111100000
111111000000 => 000000111111 => 000000111111 => 111111000000
10101010101010 => 01010101010101 => 11111100000001 => 00000011111110
10110111100000 => 01001000011111 => 00010100011111 => 11101011100000
10111011010000 => 01000100101111 => 10100100001111 => 01011011110000
10111011100000 => 01000100011111 => 00100100011111 => 11011011100000
10111100110000 => 01000011001111 => 01000100101111 => 10111011010000
10111101001000 => 01000010110111 => 11000100010111 => 00111011101000
10111101010000 => 01000010101111 => 11000100001111 => 00111011110000
10111101100000 => 01000010011111 => 01000100011111 => 10111011100000
10111110000100 => 01000001111011 => 10000100111011 => 01111011000100
10111110001000 => 01000001110111 => 10000100110111 => 01111011001000
10111110010000 => 01000001101111 => 10000100101111 => 01111011010000
10111110100000 => 01000001011111 => 10000100011111 => 01111011100000
10111111000000 => 01000000111111 => 00000100111111 => 11111011000000
11001010101010 => 00110101010101 => 11111001000001 => 00000110111110
11001111100000 => 00110000011111 => 00001001011111 => 11110110100000
11010010101010 => 00101101010101 => 11111000100001 => 00000111011110
11010100101010 => 00101011010101 => 11111000010001 => 00000111101110
11010101001010 => 00101010110101 => 11111000001001 => 00000111110110
11010101010010 => 00101010101101 => 11111000000101 => 00000111111010
11010101010100 => 00101010101011 => 11111000000011 => 00000111111100
11010101011000 => 00101010100111 => 01111000000111 => 10000111111000
11010101100010 => 00101010011101 => 10111000001101 => 01000111110010
11010101100100 => 00101010011011 => 10111000001011 => 01000111110100
11010101101000 => 00101010010111 => 10111000000111 => 01000111111000
11010101110000 => 00101010001111 => 00111000001111 => 11000111110000
11010110001010 => 00101001110101 => 11011000011001 => 00100111100110
11010110010100 => 00101001101011 => 11011000010011 => 00100111101100
11010110011000 => 00101001100111 => 01011000010111 => 10100111101000
11010110100010 => 00101001011101 => 11011000001101 => 00100111110010
11010110100100 => 00101001011011 => 11011000001011 => 00100111110100
11010110101000 => 00101001010111 => 11011000000111 => 00100111111000
11010110110000 => 00101001001111 => 01011000001111 => 10100111110000
11010111000010 => 00101000111101 => 10011000011101 => 01100111100010
11010111000100 => 00101000111011 => 10011000011011 => 01100111100100
11010111001000 => 00101000110111 => 10011000010111 => 01100111101000
11010111010000 => 00101000101111 => 10011000001111 => 01100111110000
11010111100000 => 00101000011111 => 00011000011111 => 11100111100000
11011000101010 => 00100111010101 => 11101000110001 => 00010111001110
11011001010100 => 00100110101011 => 11101000100011 => 00010111011100
11011001011000 => 00100110100111 => 01101000100111 => 10010111011000
11011001100100 => 00100110011011 => 10101000101011 => 01010111010100
11011001101000 => 00100110010111 => 10101000100111 => 01010111011000
11011001110000 => 00100110001111 => 00101000101111 => 11010111010000
11011010001010 => 00100101110101 => 11101000011001 => 00010111100110
11011010010100 => 00100101101011 => 11101000010011 => 00010111101100
11011010011000 => 00100101100111 => 01101000010111 => 10010111101000
11011010100010 => 00100101011101 => 11101000001101 => 00010111110010
11011010100100 => 00100101011011 => 11101000001011 => 00010111110100
11011010101000 => 00100101010111 => 11101000000111 => 00010111111000
11011010110000 => 00100101001111 => 01101000001111 => 10010111110000
11011011000100 => 00100100111011 => 10101000011011 => 01010111100100
11011011001000 => 00100100110111 => 10101000010111 => 01010111101000
11011011010000 => 00100100101111 => 10101000001111 => 01010111110000
11011011100000 => 00100100011111 => 00101000011111 => 11010111100000
11011100001010 => 00100011110101 => 11001000111001 => 00110111000110
11011100010100 => 00100011101011 => 11001000110011 => 00110111001100
11011100011000 => 00100011100111 => 01001000110111 => 10110111001000
11011100100010 => 00100011011101 => 11001000101101 => 00110111010010
11011100100100 => 00100011011011 => 11001000101011 => 00110111010100
11011100101000 => 00100011010111 => 11001000100111 => 00110111011000
11011100110000 => 00100011001111 => 01001000101111 => 10110111010000
11011101000010 => 00100010111101 => 11001000011101 => 00110111100010
11011101000100 => 00100010111011 => 11001000011011 => 00110111100100
11011101001000 => 00100010110111 => 11001000010111 => 00110111101000
11011101010000 => 00100010101111 => 11001000001111 => 00110111110000
11011101100000 => 00100010011111 => 01001000011111 => 10110111100000
11011110000010 => 00100001111101 => 10001000111101 => 01110111000010
11011110000100 => 00100001111011 => 10001000111011 => 01110111000100
11011110001000 => 00100001110111 => 10001000110111 => 01110111001000
11011110010000 => 00100001101111 => 10001000101111 => 01110111010000
11011110100000 => 00100001011111 => 10001000011111 => 01110111100000
11011111000000 => 00100000111111 => 00001000111111 => 11110111000000
11100010101010 => 00011101010101 => 11110001100001 => 00001110011110
11100101010100 => 00011010101011 => 11110001000011 => 00001110111100
11100101011000 => 00011010100111 => 01110001000111 => 10001110111000
11100101100100 => 00011010011011 => 10110001001011 => 01001110110100
11100101101000 => 00011010010111 => 10110001000111 => 01001110111000
11100101110000 => 00011010001111 => 00110001001111 => 11001110110000
11100110010100 => 00011001101011 => 11010001010011 => 00101110101100
11100110011000 => 00011001100111 => 01010001010111 => 10101110101000
11100110100100 => 00011001011011 => 11010001001011 => 00101110110100
11100110101000 => 00011001010111 => 11010001000111 => 00101110111000
11100110110000 => 00011001001111 => 01010001001111 => 10101110110000
11100111000100 => 00011000111011 => 10010001011011 => 01101110100100
11100111001000 => 00011000110111 => 10010001010111 => 01101110101000
11100111010000 => 00011000101111 => 10010001001111 => 01101110110000
11100111100000 => 00011000011111 => 00010001011111 => 11101110100000
11101000101010 => 00010111010101 => 11110000110001 => 00001111001110
11101001010100 => 00010110101011 => 11110000100011 => 00001111011100
11101001011000 => 00010110100111 => 01110000100111 => 10001111011000
11101001100100 => 00010110011011 => 10110000101011 => 01001111010100
11101001101000 => 00010110010111 => 10110000100111 => 01001111011000
11101001110000 => 00010110001111 => 00110000101111 => 11001111010000
11101010001010 => 00010101110101 => 11110000011001 => 00001111100110
11101010010100 => 00010101101011 => 11110000010011 => 00001111101100
11101010011000 => 00010101100111 => 01110000010111 => 10001111101000
11101010100100 => 00010101011011 => 11110000001011 => 00001111110100
11101010101000 => 00010101010111 => 11110000000111 => 00001111111000
11101010110000 => 00010101001111 => 01110000001111 => 10001111110000
11101011000100 => 00010100111011 => 10110000011011 => 01001111100100
11101011001000 => 00010100110111 => 10110000010111 => 01001111101000
11101011010000 => 00010100101111 => 10110000001111 => 01001111110000
11101011100000 => 00010100011111 => 00110000011111 => 11001111100000
11101100010100 => 00010011101011 => 11010000110011 => 00101111001100
11101100011000 => 00010011100111 => 01010000110111 => 10101111001000
11101100100100 => 00010011011011 => 11010000101011 => 00101111010100
11101100101000 => 00010011010111 => 11010000100111 => 00101111011000
11101100110000 => 00010011001111 => 01010000101111 => 10101111010000
11101101000010 => 00010010111101 => 11010000011101 => 00101111100010
11101101000100 => 00010010111011 => 11010000011011 => 00101111100100
11101101001000 => 00010010110111 => 11010000010111 => 00101111101000
11101101010000 => 00010010101111 => 11010000001111 => 00101111110000
11101101100000 => 00010010011111 => 01010000011111 => 10101111100000
11101110000010 => 00010001111101 => 10010000111101 => 01101111000010
11101110000100 => 00010001111011 => 10010000111011 => 01101111000100
11101110001000 => 00010001110111 => 10010000110111 => 01101111001000
11101110010000 => 00010001101111 => 10010000101111 => 01101111010000
11101110100000 => 00010001011111 => 10010000011111 => 01101111100000
11101111000000 => 00010000111111 => 00010000111111 => 11101111000000
11110000101010 => 00001111010101 => 11100001110001 => 00011110001110
11110001010100 => 00001110101011 => 11100001100011 => 00011110011100
11110001011000 => 00001110100111 => 01100001100111 => 10011110011000
11110001100100 => 00001110011011 => 10100001101011 => 01011110010100
11110001101000 => 00001110010111 => 10100001100111 => 01011110011000
11110001110000 => 00001110001111 => 00100001101111 => 11011110010000
11110010001010 => 00001101110101 => 11100001011001 => 00011110100110
11110010010100 => 00001101101011 => 11100001010011 => 00011110101100
11110010011000 => 00001101100111 => 01100001010111 => 10011110101000
11110010100100 => 00001101011011 => 11100001001011 => 00011110110100
11110010101000 => 00001101010111 => 11100001000111 => 00011110111000
11110010110000 => 00001101001111 => 01100001001111 => 10011110110000
11110011000010 => 00001100111101 => 10100001011101 => 01011110100010
11110011000100 => 00001100111011 => 10100001011011 => 01011110100100
11110011001000 => 00001100110111 => 10100001010111 => 01011110101000
11110011010000 => 00001100101111 => 10100001001111 => 01011110110000
11110011100000 => 00001100011111 => 00100001011111 => 11011110100000
11110100001010 => 00001011110101 => 11100000111001 => 00011111000110
11110100010100 => 00001011101011 => 11100000110011 => 00011111001100
11110100011000 => 00001011100111 => 01100000110111 => 10011111001000
11110100100010 => 00001011011101 => 11100000101101 => 00011111010010
11110100100100 => 00001011011011 => 11100000101011 => 00011111010100
11110100101000 => 00001011010111 => 11100000100111 => 00011111011000
11110100110000 => 00001011001111 => 01100000101111 => 10011111010000
11110101000010 => 00001010111101 => 11100000011101 => 00011111100010
11110101000100 => 00001010111011 => 11100000011011 => 00011111100100
11110101001000 => 00001010110111 => 11100000010111 => 00011111101000
11110101010000 => 00001010101111 => 11100000001111 => 00011111110000
11110101100000 => 00001010011111 => 01100000011111 => 10011111100000
11110110000010 => 00001001111101 => 10100000111101 => 01011111000010
11110110000100 => 00001001111011 => 10100000111011 => 01011111000100
11110110001000 => 00001001110111 => 10100000110111 => 01011111001000
11110110010000 => 00001001101111 => 10100000101111 => 01011111010000
11110110100000 => 00001001011111 => 10100000011111 => 01011111100000
11110111000000 => 00001000111111 => 00100000111111 => 11011111000000
11111000001100 => 00000111110011 => 01000001111011 => 10111110000100
11111000010010 => 00000111101101 => 11000001110101 => 00111110001010
11111000010100 => 00000111101011 => 11000001110011 => 00111110001100
11111000011000 => 00000111100111 => 01000001110111 => 10111110001000
11111000100010 => 00000111011101 => 11000001101101 => 00111110010010
11111000100100 => 00000111011011 => 11000001101011 => 00111110010100
11111000101000 => 00000111010111 => 11000001100111 => 00111110011000
11111000110000 => 00000111001111 => 01000001101111 => 10111110010000
11111001000010 => 00000110111101 => 11000001011101 => 00111110100010
11111001000100 => 00000110111011 => 11000001011011 => 00111110100100
11111001001000 => 00000110110111 => 11000001010111 => 00111110101000
11111001010000 => 00000110101111 => 11000001001111 => 00111110110000
11111001100000 => 00000110011111 => 01000001011111 => 10111110100000
11111010000010 => 00000101111101 => 11000000111101 => 00111111000010
11111010000100 => 00000101111011 => 11000000111011 => 00111111000100
11111010001000 => 00000101110111 => 11000000110111 => 00111111001000
11111010010000 => 00000101101111 => 11000000101111 => 00111111010000
11111010100000 => 00000101011111 => 11000000011111 => 00111111100000
11111011000000 => 00000100111111 => 01000000111111 => 10111111000000
11111100000010 => 00000011111101 => 10000001111101 => 01111110000010
11111100000100 => 00000011111011 => 10000001111011 => 01111110000100
11111100001000 => 00000011110111 => 10000001110111 => 01111110001000
11111100010000 => 00000011101111 => 10000001101111 => 01111110010000
11111100100000 => 00000011011111 => 10000001011111 => 01111110100000
11111101000000 => 00000010111111 => 10000000111111 => 01111111000000
11111110000000 => 00000001111111 => 00000001111111 => 11111110000000
1010101010101010 => 0101010101010101 => 1111111000000001 => 0000000111111110
1011110111000000 => 0100001000111111 => 0010001000111111 => 1101110111000000
1011111010100000 => 0100000101011111 => 1100001000011111 => 0011110111100000
1011111011000000 => 0100000100111111 => 0100001000111111 => 1011110111000000
1011111100010000 => 0100000011101111 => 1000001001101111 => 0111110110010000
1011111100100000 => 0100000011011111 => 1000001001011111 => 0111110110100000
1011111101000000 => 0100000010111111 => 1000001000111111 => 0111110111000000
1011111110000000 => 0100000001111111 => 0000001001111111 => 1111110110000000
1100101010101010 => 0011010101010101 => 1111110010000001 => 0000001101111110
1101001010101010 => 0010110101010101 => 1111110001000001 => 0000001110111110
1101010010101010 => 0010101101010101 => 1111110000100001 => 0000001111011110
1101010100101010 => 0010101011010101 => 1111110000010001 => 0000001111101110
1101010101001010 => 0010101010110101 => 1111110000001001 => 0000001111110110
1101010101010010 => 0010101010101101 => 1111110000000101 => 0000001111111010
1101010101010100 => 0010101010101011 => 1111110000000011 => 0000001111111100
1101010101011000 => 0010101010100111 => 0111110000000111 => 1000001111111000
1101010101100010 => 0010101010011101 => 1011110000001101 => 0100001111110010
1101010101101000 => 0010101010010111 => 1011110000000111 => 0100001111111000
1101010101110000 => 0010101010001111 => 0011110000001111 => 1100001111110000
1101010110001010 => 0010101001110101 => 1101110000011001 => 0010001111100110
1101010111000010 => 0010101000111101 => 1001110000011101 => 0110001111100010
1101011000101010 => 0010100111010101 => 1110110000110001 => 0001001111001110
1101011100001010 => 0010100011110101 => 1100110000111001 => 0011001111000110
1101100010101010 => 0010011101010101 => 1111010001100001 => 0000101110011110
1101110000101010 => 0010001111010101 => 1110010001110001 => 0001101110001110
1110001010101010 => 0001110101010101 => 1111100011000001 => 0000011100111110
1110100010101010 => 0001011101010101 => 1111100001100001 => 0000011110011110
1111000010101010 => 0000111101010101 => 1111000011100001 => 0000111100011110
1111011100000010 => 0000100011111101 => 1001000001111101 => 0110111110000010
1111101010000010 => 0000010101111101 => 1110000000111101 => 0001111111000010
1111101100000010 => 0000010011111101 => 1010000001111101 => 0101111110000010
1111110001000010 => 0000001110111101 => 1100000011011101 => 0011111100100010
1111110010000010 => 0000001101111101 => 1100000010111101 => 0011111101000010
1111110100000010 => 0000001011111101 => 1100000001111101 => 0011111110000010
1111111000000010 => 0000000111111101 => 1000000011111101 => 0111111100000010
1111111111 => 0000000000 => 0000000000 => 1111111111
1111111110 => 0000000001 => 0000000001 => 1111111110
1111111101 => 0000000010 => 1000000000 => 0111111111
1111111100 => 0000000011 => 0000000011 => 1111111100
1111111011 => 0000000100 => 0100000000 => 1011111111
1111111010 => 0000000101 => 1000000001 => 0111111110
1111111001 => 0000000110 => 1000000010 => 0111111101
1111111000 => 0000000111 => 0000000111 => 1111111000
1111110110 => 0000001001 => 0100000001 => 1011111110
1111110101 => 0000001010 => 1100000000 => 0011111111
1111110100 => 0000001011 => 1000000011 => 0111111100
1111110011 => 0000001100 => 0100000010 => 1011111101
1111110010 => 0000001101 => 1000000101 => 0111111010
1111110001 => 0000001110 => 1000000110 => 0111111001
1111110000 => 0000001111 => 0000001111 => 1111110000
1111101110 => 0000010001 => 0010000001 => 1101111110
1111101101 => 0000010010 => 1010000000 => 0101111111
1111101011 => 0000010100 => 0110000000 => 1001111111
1111101010 => 0000010101 => 1100000001 => 0011111110
1111101001 => 0000010110 => 1100000010 => 0011111101
1111101000 => 0000010111 => 1000000111 => 0111111000
1111100111 => 0000011000 => 0010000010 => 1101111101
1111100100 => 0000011011 => 1000001011 => 0111110100
1111100010 => 0000011101 => 1000001101 => 0111110010
1111100001 => 0000011110 => 1000001110 => 0111110001
1111011110 => 0000100001 => 0001000001 => 1110111110
1111011011 => 0000100100 => 0101000000 => 1010111111
1111011010 => 0000100101 => 1010000001 => 0101111110
1111010111 => 0000101000 => 0011000000 => 1100111111
1111010101 => 0000101010 => 1110000000 => 0001111111
1111010100 => 0000101011 => 1100000011 => 0011111100
1111010010 => 0000101101 => 1100000101 => 0011111010
1111010001 => 0000101110 => 1100000110 => 0011111001
1111001110 => 0000110001 => 0010000101 => 1101111010
1111001100 => 0000110011 => 0100001011 => 1011110100
1111001010 => 0000110101 => 1100001001 => 0011110110
1111001001 => 0000110110 => 1100001010 => 0011110101
1111000110 => 0000111001 => 0100001101 => 1011110010
1111000101 => 0000111010 => 1100001100 => 0011110011
1111000011 => 0000111100 => 0100001110 => 1011110001
1111000001 => 0000111110 => 1000011110 => 0111100001
1111000000 => 0000111111 => 0000111111 => 1111000000
1110111110 => 0001000001 => 0000100001 => 1111011110
1110111101 => 0001000010 => 1000100000 => 0111011111
1110111100 => 0001000011 => 0001000011 => 1110111100
1110111011 => 0001000100 => 0100100000 => 1011011111
1110110111 => 0001001000 => 0010100000 => 1101011111
1110110101 => 0001001010 => 1101000000 => 0010111111
1110110100 => 0001001011 => 1010000011 => 0101111100
1110110001 => 0001001110 => 1010000110 => 0101111001
1110101111 => 0001010000 => 0001100000 => 1110011111
1110101110 => 0001010001 => 0011000001 => 1100111110
1110101101 => 0001010010 => 1011000000 => 0100111111
1110101011 => 0001010100 => 0111000000 => 1000111111
1110101010 => 0001010101 => 1110000001 => 0001111110
1110101001 => 0001010110 => 1110000010 => 0001111101
1110100101 => 0001011010 => 1110000100 => 0001111011
1110100011 => 0001011100 => 0110000110 => 1001111001
1110100001 => 0001011110 => 1100001110 => 0011110001
1110100000 => 0001011111 => 1000011111 => 0111100000
1110011111 => 0001100000 => 0000100010 => 1111011101
1110011110 => 0001100001 => 0001000101 => 1110111010
1110011100 => 0001100011 => 0010001011 => 1101110100
1110011001 => 0001100110 => 1010001010 => 0101110101
1110010110 => 0001101001 => 0110001001 => 1001110110
1110010101 => 0001101010 => 1110001000 => 0001110111
1110010011 => 0001101100 => 0110001010 => 1001110101
1110010001 => 0001101110 => 1100010110 => 0011101001
1110010000 => 0001101111 => 1000101111 => 0111010000
1110001101 => 0001110010 => 1010001100 => 0101110011
1110001011 => 0001110100 => 0110001100 => 1001110011
1110001001 => 0001110110 => 1100011010 => 0011100101
1110001000 => 0001110111 => 1000110111 => 0111001000
1110000111 => 0001111000 => 0010001110 => 1101110001
1110000110 => 0001111001 => 0100011101 => 1011100010
1110000101 => 0001111010 => 1100011100 => 0011100011
1110000100 => 0001111011 => 1000111011 => 0111000100
1110000011 => 0001111100 => 0100011110 => 1011100001
1110000010 => 0001111101 => 1000111101 => 0111000010
1110000001 => 0001111110 => 1000111110 => 0111000001
1110000000 => 0001111111 => 0001111111 => 1110000000
1101111111 => 0010000000 => 0000001000 => 1111110111
1101111110 => 0010000001 => 0000010001 => 1111101110
1101111101 => 0010000010 => 1000010000 => 0111101111
1101111011 => 0010000100 => 0100010000 => 1011101111
1101111010 => 0010000101 => 1000100001 => 0111011110
1101111001 => 0010000110 => 1000100010 => 0111011101
1101111000 => 0010000111 => 0001000111 => 1110111000
1101110010 => 0010001101 => 1001000101 => 0110111010
1101110001 => 0010001110 => 1001000110 => 0110111001
1101101111 => 0010010000 => 0001010000 => 1110101111
1101101110 => 0010010001 => 0010100001 => 1101011110
1101101100 => 0010010011 => 0101000011 => 1010111100
1101101011 => 0010010100 => 0110100000 => 1001011111
1101101010 => 0010010101 => 1101000001 => 0010111110
1101101001 => 0010010110 => 1101000010 => 0010111101
1101100110 => 0010011001 => 0101000101 => 1010111010
1101100101 => 0010011010 => 1101000100 => 0010111011
1101100011 => 0010011100 => 0101000110 => 1010111001
1101100001 => 0010011110 => 1010001110 => 0101110001
1101100000 => 0010011111 => 0100011111 => 1011100000
1101011111 => 0010100000 => 0000110000 => 1111001111
1101011011 => 0010100100 => 0101100000 => 1010011111
1101011010 => 0010100101 => 1011000001 => 0100111110
1101011001 => 0010100110 => 1011000010 => 0100111101
1101010111 => 0010101000 => 0011100000 => 1100011111
1101010101 => 0010101010 => 1111000000 => 0000111111
1101010011 => 0010101100 => 0111000010 => 1000111101
1101010001 => 0010101110 => 1110000110 => 0001111001
1101001110 => 0010110001 => 0011000101 => 1100111010
1101001101 => 0010110010 => 1011000100 => 0100111011
1101001011 => 0010110100 => 0111000100 => 1000111011
1101001001 => 0010110110 => 1110001010 => 0001110101
1101001000 => 0010110111 => 1100010111 => 0011101000
1101000111 => 0010111000 => 0011000110 => 1100111001
1101000110 => 0010111001 => 0110001101 => 1001110010
1101000101 => 0010111010 => 1110001100 => 0001110011
1101000011 => 0010111100 => 0110001110 => 1001110001
1101000010 => 0010111101 => 1100011101 => 0011100010
1101000001 => 0010111110 => 1100011110 => 0011100001
1101000000 => 0010111111 => 1000111111 => 0111000000
1100111111 => 0011000000 => 0000010010 => 1111101101
1100111110 => 0011000001 => 0000100101 => 1111011010
1100111100 => 0011000011 => 0001001011 => 1110110100
1100111001 => 0011000110 => 1001001010 => 0110110101
1100110110 => 0011001001 => 0101001001 => 1010110110
1100110101 => 0011001010 => 1101001000 => 0010110111
1100110011 => 0011001100 => 0101001010 => 1010110101
1100110001 => 0011001110 => 1010010110 => 0101101001
1100101101 => 0011010010 => 1011001000 => 0100110111
1100101011 => 0011010100 => 0111001000 => 1000110111
1100101001 => 0011010110 => 1110010010 => 0001101101
1100101000 => 0011010111 => 1100100111 => 0011011000
1100100111 => 0011011000 => 0011001010 => 1100110101
1100100110 => 0011011001 => 0110010101 => 1001101010
1100100101 => 0011011010 => 1110010100 => 0001101011
1100100100 => 0011011011 => 1100101011 => 0011010100
1100100011 => 0011011100 => 0110010110 => 1001101001
1100100010 => 0011011101 => 1100101101 => 0011010010
1100100001 => 0011011110 => 1100101110 => 0011010001
1100100000 => 0011011111 => 1001011111 => 0110100000
1100011110 => 0011100001 => 0001001101 => 1110110010
1100011101 => 0011100010 => 1001001100 => 0110110011
1100011011 => 0011100100 => 0101001100 => 1010110011
1100011001 => 0011100110 => 1010011010 => 0101100101
1100011000 => 0011100111 => 0100110111 => 1011001000
1100010111 => 0011101000 => 0011001100 => 1100110011
1100010101 => 0011101010 => 1110011000 => 0001100111
1100010011 => 0011101100 => 0110011010 => 1001100101
1100010010 => 0011101101 => 1100110101 => 0011001010
1100010001 => 0011101110 => 1100110110 => 0011001001
1100001111 => 0011110000 => 0001001110 => 1110110001
1100001110 => 0011110001 => 0010011101 => 1101100010
1100001101 => 0011110010 => 1010011100 => 0101100011
1100001100 => 0011110011 => 0100111011 => 1011000100
1100001011 => 0011110100 => 0110011100 => 1001100011
1100001010 => 0011110101 => 1100111001 => 0011000110
1100001001 => 0011110110 => 1100111010 => 0011000101
1100001000 => 0011110111 => 1001110111 => 0110001000
1100000111 => 0011111000 => 0010011110 => 1101100001
1100000110 => 0011111001 => 0100111101 => 1011000010
1100000101 => 0011111010 => 1100111100 => 0011000011
1100000011 => 0011111100 => 0100111110 => 1011000001
1100000010 => 0011111101 => 1001111101 => 0110000010
1100000001 => 0011111110 => 1001111110 => 0110000001
1100000000 => 0011111111 => 0011111111 => 1100000000
1011111111 => 0100000000 => 0000000100 => 1111111011
1011111110 => 0100000001 => 0000001001 => 1111110110
1011111101 => 0100000010 => 1000001000 => 0111110111
1011111100 => 0100000011 => 0000010011 => 1111101100
1011111011 => 0100000100 => 0100001000 => 1011110111
1011111010 => 0100000101 => 1000010001 => 0111101110
1011111000 => 0100000111 => 0000100111 => 1111011000
1011110111 => 0100001000 => 0010001000 => 1101110111
1011110100 => 0100001011 => 1000100011 => 0111011100
1011110001 => 0100001110 => 1000100110 => 0111011001
1011101110 => 0100010001 => 0010010001 => 1101101110
1011101100 => 0100010011 => 0100100011 => 1011011100
1011101010 => 0100010101 => 1100100001 => 0011011110
1011101001 => 0100010110 => 1100100010 => 0011011101
1011100110 => 0100011001 => 0100100101 => 1011011010
1011100101 => 0100011010 => 1100100100 => 0011011011
1011100011 => 0100011100 => 0100100110 => 1011011001
1011100001 => 0100011110 => 1001001110 => 0110110001
1011100000 => 0100011111 => 0010011111 => 1101100000
1011011111 => 0100100000 => 0000101000 => 1111010111
1011011110 => 0100100001 => 0001010001 => 1110101110
1011011100 => 0100100011 => 0010100011 => 1101011100
1011011001 => 0100100110 => 1010100010 => 0101011101
1011010111 => 0100101000 => 0011010000 => 1100101111
1011010110 => 0100101001 => 0110100001 => 1001011110
1011010101 => 0100101010 => 1110100000 => 0001011111
1011010011 => 0100101100 => 0110100010 => 1001011101
1011010001 => 0100101110 => 1101000110 => 0010111001
1011010000 => 0100101111 => 1010001111 => 0101110000
1011001110 => 0100110001 => 0010100101 => 1101011010
1011001101 => 0100110010 => 1010100100 => 0101011011
1011001011 => 0100110100 => 0110100100 => 1001011011
1011001001 => 0100110110 => 1101001010 => 0010110101
1011001000 => 0100110111 => 1010010111 => 0101101000
1011000111 => 0100111000 => 0010100110 => 1101011001
1011000110 => 0100111001 => 0101001101 => 1010110010
1011000101 => 0100111010 => 1101001100 => 0010110011
1011000100 => 0100111011 => 1010011011 => 0101100100
1011000011 => 0100111100 => 0101001110 => 1010110001
1011000001 => 0100111110 => 1010011110 => 0101100001
1011000000 => 0100111111 => 0100111111 => 1011000000
1010111111 => 0101000000 => 0000011000 => 1111100111
1010111110 => 0101000001 => 0000110001 => 1111001110
1010111100 => 0101000011 => 0001100011 => 1110011100
1010111010 => 0101000101 => 1001100001 => 0110011110
1010111001 => 0101000110 => 1001100010 => 0110011101
1010110111 => 0101001000 => 0010110000 => 1101001111
1010110101 => 0101001010 => 1101100000 => 0010011111
1010110011 => 0101001100 => 0101100010 => 1010011101
1010110001 => 0101001110 => 1011000110 => 0100111001
1010110000 => 0101001111 => 0110001111 => 1001110000
1010101101 => 0101010010 => 1011100000 => 0100011111
1010101011 => 0101010100 => 0111100000 => 1000011111
1010101001 => 0101010110 => 1111000010 => 0000111101
1010101000 => 0101010111 => 1110000111 => 0001111000
1010100111 => 0101011000 => 0011100010 => 1100011101
1010100110 => 0101011001 => 0111000101 => 1000111010
1010100101 => 0101011010 => 1111000100 => 0000111011
1010100100 => 0101011011 => 1110001011 => 0001110100
1010100011 => 0101011100 => 0111000110 => 1000111001
1010100010 => 0101011101 => 1110001101 => 0001110010
1010100000 => 0101011111 => 1100011111 => 0011100000
1010011110 => 0101100001 => 0001100101 => 1110011010
1010011101 => 0101100010 => 1001100100 => 0110011011
1010011100 => 0101100011 => 0011001011 => 1100110100
1010011011 => 0101100100 => 0101100100 => 1010011011
1010011010 => 0101100101 => 1011001001 => 0100110110
1010011000 => 0101100111 => 0110010111 => 1001101000
1010010111 => 0101101000 => 0011100100 => 1100011011
1010010110 => 0101101001 => 0111001001 => 1000110110
1010010101 => 0101101010 => 1111001000 => 0000110111
1010010100 => 0101101011 => 1110010011 => 0001101100
1010010011 => 0101101100 => 0111001010 => 1000110101
1010010001 => 0101101110 => 1110010110 => 0001101001
1010010000 => 0101101111 => 1100101111 => 0011010000
1010001111 => 0101110000 => 0001100110 => 1110011001
1010001110 => 0101110001 => 0011001101 => 1100110010
1010001101 => 0101110010 => 1011001100 => 0100110011
1010001100 => 0101110011 => 0110011011 => 1001100100
1010001011 => 0101110100 => 0111001100 => 1000110011
1010001010 => 0101110101 => 1110011001 => 0001100110
1010001000 => 0101110111 => 1100110111 => 0011001000
1010000111 => 0101111000 => 0011001110 => 1100110001
1010000110 => 0101111001 => 0110011101 => 1001100010
1010000010 => 0101111101 => 1100111101 => 0011000010
1010000001 => 0101111110 => 1100111110 => 0011000001
1010000000 => 0101111111 => 1001111111 => 0110000000
1001111111 => 0110000000 => 0000001010 => 1111110101
1001111110 => 0110000001 => 0000010101 => 1111101010
1001111100 => 0110000011 => 0000101011 => 1111010100
1001111000 => 0110000111 => 0001010111 => 1110101000
1001110110 => 0110001001 => 0100101001 => 1011010110
1001110101 => 0110001010 => 1100101000 => 0011010111
1001110100 => 0110001011 => 1001010011 => 0110101100
1001110011 => 0110001100 => 0100101010 => 1011010101
1001110010 => 0110001101 => 1001010101 => 0110101010
1001110001 => 0110001110 => 1001010110 => 0110101001
1001110000 => 0110001111 => 0010101111 => 1101010000
1001101110 => 0110010001 => 0010101001 => 1101010110
1001101101 => 0110010010 => 1010101000 => 0101010111
1001101100 => 0110010011 => 0101010011 => 1010101100
1001101011 => 0110010100 => 0110101000 => 1001010111
1001101010 => 0110010101 => 1101010001 => 0010101110
1001101001 => 0110010110 => 1101010010 => 0010101101
1001101000 => 0110010111 => 1010100111 => 0101011000
1001100111 => 0110011000 => 0010101010 => 1101010101
1001100110 => 0110011001 => 0101010101 => 1010101010
1001100101 => 0110011010 => 1101010100 => 0010101011
1001100100 => 0110011011 => 1010101011 => 0101010100
1001100011 => 0110011100 => 0101010110 => 1010101001
1001100001 => 0110011110 => 1010101110 => 0101010001
1001100000 => 0110011111 => 0101011111 => 1010100000
1001011111 => 0110100000 => 0000110100 => 1111001011
1001011110 => 0110100001 => 0001101001 => 1110010110
1001011101 => 0110100010 => 1001101000 => 0110010111
1001011100 => 0110100011 => 0011010011 => 1100101100
1001011011 => 0110100100 => 0101101000 => 1010010111
1001011010 => 0110100101 => 1011010001 => 0100101110
1001011001 => 0110100110 => 1011010010 => 0100101101
1001011000 => 0110100111 => 0110100111 => 1001011000
1001010111 => 0110101000 => 0011101000 => 1100010111
1001010110 => 0110101001 => 0111010001 => 1000101110
1001010101 => 0110101010 => 1111010000 => 0000101111
1001010100 => 0110101011 => 1110100011 => 0001011100
1001010011 => 0110101100 => 0111010010 => 1000101101
1001010010 => 0110101101 => 1110100101 => 0001011010
1001010000 => 0110101111 => 1101001111 => 0010110000
1001001111 => 0110110000 => 0001101010 => 1110010101
1001001110 => 0110110001 => 0011010101 => 1100101010
1001001101 => 0110110010 => 1011010100 => 0100101011
1001001100 => 0110110011 => 0110101011 => 1001010100
1001001011 => 0110110100 => 0111010100 => 1000101011
1001001010 => 0110110101 => 1110101001 => 0001010110
1001001000 => 0110110111 => 1101010111 => 0010101000
1001000111 => 0110111000 => 0011010110 => 1100101001
1001000110 => 0110111001 => 0110101101 => 1001010010
1001000100 => 0110111011 => 1101011011 => 0010100100
1001000010 => 0110111101 => 1101011101 => 0010100010
1001000000 => 0110111111 => 1010111111 => 0101000000
1000111111 => 0111000000 => 0000010110 => 1111101001
1000111110 => 0111000001 => 0000101101 => 1111010010
1000111101 => 0111000010 => 1000101100 => 0111010011
1000111100 => 0111000011 => 0001011011 => 1110100100
1000111011 => 0111000100 => 0100101100 => 1011010011
1000111010 => 0111000101 => 1001011001 => 0110100110
1000111001 => 0111000110 => 1001011010 => 0110100101
1000111000 => 0111000111 => 0010110111 => 1101001000
1000110111 => 0111001000 => 0010101100 => 1101010011
1000110110 => 0111001001 => 0101011001 => 1010100110
1000110101 => 0111001010 => 1101011000 => 0010100111
1000110100 => 0111001011 => 1010110011 => 0101001100
1000110011 => 0111001100 => 0101011010 => 1010100101
1000110010 => 0111001101 => 1010110101 => 0101001010
1000110001 => 0111001110 => 1010110110 => 0101001001
1000101111 => 0111010000 => 0001101100 => 1110010011
1000101110 => 0111010001 => 0011011001 => 1100100110
1000101101 => 0111010010 => 1011011000 => 0100100111
1000101100 => 0111010011 => 0110110011 => 1001001100
1000101011 => 0111010100 => 0111011000 => 1000100111
1000101010 => 0111010101 => 1110110001 => 0001001110
1000100111 => 0111011000 => 0011011010 => 1100100101
1000100110 => 0111011001 => 0110110101 => 1001001010
1000100101 => 0111011010 => 1110110100 => 0001001011
1000100011 => 0111011100 => 0110110110 => 1001001001
1000100000 => 0111011111 => 1011011111 => 0100100000
1000011111 => 0111100000 => 0000101110 => 1111010001
1000011110 => 0111100001 => 0001011101 => 1110100010
1000011101 => 0111100010 => 1001011100 => 0110100011
1000011011 => 0111100100 => 0101011100 => 1010100011
1000011010 => 0111100101 => 1010111001 => 0101000110
1000011000 => 0111100111 => 0101110111 => 1010001000
1000010111 => 0111101000 => 0011011100 => 1100100011
1000010110 => 0111101001 => 0110111001 => 1001000110
1000010010 => 0111101101 => 1101110101 => 0010001010
1000010000 => 0111101111 => 1011101111 => 0100010000
1000001111 => 0111110000 => 0001011110 => 1110100001
1000001110 => 0111110001 => 0010111101 => 1101000010
1000001101 => 0111110010 => 1010111100 => 0101000011
1000001011 => 0111110100 => 0110111100 => 1001000011
1000001010 => 0111110101 => 1101111001 => 0010000110
1000001000 => 0111110111 => 1011110111 => 0100001000
1000000111 => 0111111000 => 0010111110 => 1101000001
1000000110 => 0111111001 => 0101111101 => 1010000010
1000000101 => 0111111010 => 1101111100 => 0010000011
1000000100 => 0111111011 => 1011111011 => 0100000100
1000000011 => 0111111100 => 0101111110 => 1010000001
1000000010 => 0111111101 => 1011111101 => 0100000010
1000000001 => 0111111110 => 1011111110 => 0100000001
1000000000 => 0111111111 => 0111111111 => 1000000000
10000000000 => 01111111111 => 01111111111 => 10000000000
10000000010 => 01111111101 => 10111111101 => 01000000010
10000000110 => 01111111001 => 01011111101 => 10100000010
10000001110 => 01111110001 => 00101111101 => 11010000010
10000011110 => 01111100001 => 00010111101 => 11101000010
10000111110 => 01111000001 => 00001011101 => 11110100010
10001111110 => 01110000001 => 00000101101 => 11111010010
10011111110 => 01100000001 => 00000010101 => 11111101010
10111111110 => 01000000001 => 00000001001 => 11111110110
11111111110 => 00000000001 => 00000000001 => 11111111110
100000000000 => 011111111111 => 011111111111 => 100000000000
100000000010 => 011111111101 => 101111111101 => 010000000010
10000000100 => 01111111011 => 10111111011 => 01000000100
10000001010 => 01111110101 => 11011111001 => 00100000110
10000010110 => 01111101001 => 01101111001 => 10010000110
10000101110 => 01111010001 => 00110111001 => 11001000110
100000111110 => 011111000001 => 000010111101 => 111101000010
10001011110 => 01110100001 => 00011011001 => 11100100110
100001111110 => 011110000001 => 000001011101 => 111110100010
10010111110 => 01101000001 => 00001101001 => 11110010110
10101111110 => 01010000001 => 00000110001 => 11111001110
11011111110 => 00100000001 => 00000010001 => 11111101110
111111111110 => 000000000001 => 000000000001 => 111111111110
100000000100 => 011111111011 => 101111111011 => 010000000100
100001011110 => 011110100001 => 000110111001 => 111001000110
100101111110 => 011010000001 => 000001101001 => 111110010110
110111111110 => 001000000001 => 000000010001 => 111111101110
10000010000 => 01111101111 => 10111101111 => 01000010000
10000100010 => 01111011101 => 11011101101 => 00100010010
100001001110 => 011110110001 => 001101110101 => 110010001010
100010011110 => 011101100001 => 000110110101 => 111001001010
100001101110 => 011110010001 => 001010111001 => 110101000110
100100111110 => 011011000001 => 000011010101 => 111100101010
10111011110 => 01000100001 => 00010010001 => 11101101110
11110111110 => 00001000001 => 00001000001 => 11110111110
10000100100 => 01111011011 => 11011101011 => 00100010100
100001000110 => 011110111001 => 011011101101 => 100100010010
10001001010 => 01110110101 => 11101101001 => 00010010110
100010001110 => 011101110001 => 001101101101 => 110010010010
100100011110 => 011011100001 => 000110101101 => 111001010010
100010101110 => 011101010001 => 001110110001 => 110001001110
100001110110 => 011110001001 => 010010111001 => 101101000110
101010111110 => 010101000001 => 000011100001 => 111100011110
100111011110 => 011000100001 => 000100101001 => 111011010110
10111101110 => 01000010001 => 00100010001 => 11011101110
111101111110 => 000010000001 => 000001000001 => 111110111110
10001000000 => 01110111111 => 10110111111 => 01001000000
100001000010 => 011110111101 => 110111011101 => 001000100010
10001000100 => 01110111011 => 11011011011 => 00100100100
10000101000 => 01111010111 => 11011100111 => 00100011000
100100001110 => 011011110001 => 001101011101 => 110010100010
10001010010 => 01110101101 => 11101100101 => 00010011010
100010010110 => 011101101001 => 011101101001 => 100010010110
101000011110 => 010111100001 => 000110011101 => 111001100010
100100101110 => 011011010001 => 001110101001 => 110001010110
100011001110 => 011100110001 => 001010110101 => 110101001010
100010110110 => 011101001001 => 010110110001 => 101001001110
100001111010 => 011110000101 => 100010111001 => 011101000110
110000111110 => 001111000001 => 000010011101 => 111101100010
100110011110 => 011001100001 => 000101010101 => 111010101010
100101101110 => 011010010001 => 001011010001 => 110100101110
10001111100 => 01110000011 => 00001011011 => 11110100100
11101011110 => 00010100001 => 00011000001 => 11100111110
11011101110 => 00100010001 => 00100100001 => 11011011110
100001000000 => 011110111111 => 101110111111 => 010001000000
10010000000 => 01101111111 => 10101111111 => 01010000000
10100000010 => 01011111101 => 11001111101 => 00110000010
10001001000 => 01110110111 => 11011010111 => 00100101000
100010001010 => 011101110101 => 111011011001 => 000100100110
100001010010 => 011110101101 => 111011100101 => 000100011010
10010010010 => 01101101101 => 11101010101 => 00010101010
10001010100 => 01110101011 => 11101100011 => 00010011100
100001011100 => 011110100011 => 001101110011 => 110010001100
110000011110 => 001111100001 => 000100111101 => 111011000010
101000101110 => 010111010001 => 001110011001 => 110001100110
100101001110 => 011010110001 => 001110100101 => 110001011010
100100110110 => 011011001001 => 010110101001 => 101001010110
100011010110 => 011100101001 => 011010110001 => 100101001110
100010111010 => 011101000101 => 100110110001 => 011001001110
100001111100 => 011110000011 => 000010111011 => 111101000100
10101010110 => 01010101001 => 01111000001 => 10000111110
110011011110 => 001100100001 => 000101001001 => 111010110110
101101011110 => 010010100001 => 000110100001 => 111001011110
100111110110 => 011000001001 => 010000101001 => 101111010110
11101101110 => 00010010001 => 00101000001 => 11010111110
11111110110 => 00000001001 => 01000000001 => 10111111110
111111011110 => 000000100001 => 000100000001 => 111011111110
10100000000 => 01011111111 => 10011111111 => 01100000000
100001001000 => 011110110111 => 110111010111 => 001000101000
11000000010 => 00111111101 => 10011111101 => 01100000010
10010001000 => 01101110111 => 11010110111 => 00101001000
10010010100 => 01101101011 => 11101010011 => 00010101100
100100011010 => 011011100101 => 101101011001 => 010010100110
100010101010 => 011101010101 => 111101100001 => 000010011110
100010011100 => 011101100011 => 001101101011 => 110010010100
101001001110 => 010110110001 => 001110010101 => 110001101010
101000110110 => 010111001001 => 010110011001 => 101001100110
100110001110 => 011001110001 => 001010101101 => 110101010010
100101010110 => 011010101001 => 011110100001 => 100001011110
100100111010 => 011011000101 => 100110101001 => 011001010110
10001110100 => 01110001011 => 10010110011 => 01101001100
100011100110 => 011100011001 => 010010110101 => 101101001010
100011011010 => 011100100101 => 101010110001 => 010101001110
100010111100 => 011101000011 => 000110110011 => 111001001100
110010011110 => 001101100001 => 000110010101 => 111001101010
110001101110 => 001110010001 => 001010011001 => 110101100110
10101011010 => 01010100101 => 10111000001 => 01000111110
100111001110 => 011000110001 => 001001010101 => 110110101010
11101110110 => 00010001001 => 01001000001 => 10110111110
110111101110 => 001000010001 => 001000100001 => 110111011110
10111111100 => 01000000011 => 00000010011 => 11111101100
11111111010 => 00000000101 => 10000000001 => 01111111110
=> => =>
0111111111 => 1000000000 => 0000000010 => 1111111101
0111111101 => 1000000010 => 1000000100 => 0111111011
0111111001 => 1000000110 => 1000001010 => 0111110101
0111110001 => 1000001110 => 1000010110 => 0111101001
0111100001 => 1000011110 => 1000101110 => 0111010001
0111000001 => 1000111110 => 1001011110 => 0110100001
0110000001 => 1001111110 => 1010111110 => 0101000001
0100000001 => 1011111110 => 1101111110 => 0010000001
0000000001 => 1111111110 => 1111111110 => 0000000001
01111111111 => 10000000000 => 00000000010 => 11111111101
01111111101 => 10000000010 => 10000000100 => 01111111011
0111111011 => 1000000100 => 0100000100 => 1011111011
01111111001 => 10000000110 => 10000001010 => 01111110101
0111110101 => 1000001010 => 1100001000 => 0011110111
01111110001 => 10000001110 => 10000010110 => 01111101001
0111101001 => 1000010110 => 1100010010 => 0011101101
01111100001 => 10000011110 => 10000101110 => 01111010001
0111010001 => 1000101110 => 1100100110 => 0011011001
01111000001 => 10000111110 => 10001011110 => 01110100001
0110100001 => 1001011110 => 1101001110 => 0010110001
01110000001 => 10001111110 => 10010111110 => 01101000001
0101000001 => 1010111110 => 1110011110 => 0001100001
01100000001 => 10011111110 => 10101111110 => 01010000001
0010000001 => 1101111110 => 1110111110 => 0001000001
01000000001 => 10111111110 => 11011111110 => 00100000001
00000000001 => 11111111110 => 11111111110 => 00000000001
0101010101 => 1010101010 => 1111100000 => 0000011111
0101010011 => 1010101100 => 0111100010 => 1000011101
0101001101 => 1010110010 => 1011100100 => 0100011011
0101001011 => 1010110100 => 0111100100 => 1000011011
0101000111 => 1010111000 => 0011100110 => 1100011001
0100110101 => 1011001010 => 1101101000 => 0010010111
0100110011 => 1011001100 => 0101101010 => 1010010101
0100101101 => 1011010010 => 1011101000 => 0100010111
0100101011 => 1011010100 => 0111101000 => 1000010111
0100100111 => 1011011000 => 0011101010 => 1100010101
0100011101 => 1011100010 => 1001101100 => 0110010011
0100011011 => 1011100100 => 0101101100 => 1010010011
0100010111 => 1011101000 => 0011101100 => 1100010011
0100001111 => 1011110000 => 0001101110 => 1110010001
0011010101 => 1100101010 => 1110110000 => 0001001111
0011010011 => 1100101100 => 0110110010 => 1001001101
0011001101 => 1100110010 => 1010110100 => 0101001011
0011001011 => 1100110100 => 0110110100 => 1001001011
0011000111 => 1100111000 => 0010110110 => 1101001001
0010110101 => 1101001010 => 1101110000 => 0010001111
0010110011 => 1101001100 => 0101110010 => 1010001101
0010101101 => 1101010010 => 1011110000 => 0100001111
0010101011 => 1101010100 => 0111110000 => 1000001111
0010100111 => 1101011000 => 0011110010 => 1100001101
0010011101 => 1101100010 => 1001110100 => 0110001011
0010011011 => 1101100100 => 0101110100 => 1010001011
0010010111 => 1101101000 => 0011110100 => 1100001011
0010001111 => 1101110000 => 0001110110 => 1110001001
0001110101 => 1110001010 => 1100111000 => 0011000111
0001110011 => 1110001100 => 0100111010 => 1011000101
0001101101 => 1110010010 => 1010111000 => 0101000111
0001101011 => 1110010100 => 0110111000 => 1001000111
0001100111 => 1110011000 => 0010111010 => 1101000101
0001011101 => 1110100010 => 1001111000 => 0110000111
0001011011 => 1110100100 => 0101111000 => 1010000111
0001010111 => 1110101000 => 0011111000 => 1100000111
0001001111 => 1110110000 => 0001111010 => 1110000101
0000111101 => 1111000010 => 1000111100 => 0111000011
0000111011 => 1111000100 => 0100111100 => 1011000011
0000110111 => 1111001000 => 0010111100 => 1101000011
0000101111 => 1111010000 => 0001111100 => 1110000011
0000011111 => 1111100000 => 0000111110 => 1111000001
010101010101 => 101010101010 => 111111000000 => 000000111111
010101010011 => 101010101100 => 011111000010 => 100000111101
010101001101 => 101010110010 => 101111000100 => 010000111011
010101001011 => 101010110100 => 011111000100 => 100000111011
010101000111 => 101010111000 => 001111000110 => 110000111001
010100110101 => 101011001010 => 110111001000 => 001000110111
010100110011 => 101011001100 => 010111001010 => 101000110101
010100101101 => 101011010010 => 101111001000 => 010000110111
010100101011 => 101011010100 => 011111001000 => 100000110111
010100100111 => 101011011000 => 001111001010 => 110000110101
010100011101 => 101011100010 => 100111001100 => 011000110011
010100011011 => 101011100100 => 010111001100 => 101000110011
010100010111 => 101011101000 => 001111001100 => 110000110011
010100001111 => 101011110000 => 000111001110 => 111000110001
010011010101 => 101100101010 => 111011010000 => 000100101111
010011010011 => 101100101100 => 011011010010 => 100100101101
010011001101 => 101100110010 => 101011010100 => 010100101011
010011001011 => 101100110100 => 011011010100 => 100100101011
010011000111 => 101100111000 => 001011010110 => 110100101001
010010110101 => 101101001010 => 110111010000 => 001000101111
010010110011 => 101101001100 => 010111010010 => 101000101101
010010101101 => 101101010010 => 101111010000 => 010000101111
010010101011 => 101101010100 => 011111010000 => 100000101111
010010100111 => 101101011000 => 001111010010 => 110000101101
010010011101 => 101101100010 => 100111010100 => 011000101011
010010011011 => 101101100100 => 010111010100 => 101000101011
010010010111 => 101101101000 => 001111010100 => 110000101011
010010001111 => 101101110000 => 000111010110 => 111000101001
010001110101 => 101110001010 => 110011011000 => 001100100111
010001110011 => 101110001100 => 010011011010 => 101100100101
010001101101 => 101110010010 => 101011011000 => 010100100111
010001101011 => 101110010100 => 011011011000 => 100100100111
010001100111 => 101110011000 => 001011011010 => 110100100101
010001011101 => 101110100010 => 100111011000 => 011000100111
010001011011 => 101110100100 => 010111011000 => 101000100111
010001010111 => 101110101000 => 001111011000 => 110000100111
010001001111 => 101110110000 => 000111011010 => 111000100101
010000111101 => 101111000010 => 100011011100 => 011100100011
010000111011 => 101111000100 => 010011011100 => 101100100011
010000110111 => 101111001000 => 001011011100 => 110100100011
010000101111 => 101111010000 => 000111011100 => 111000100011
010000011111 => 101111100000 => 000011011110 => 111100100001
001101010101 => 110010101010 => 111101100000 => 000010011111
001101010011 => 110010101100 => 011101100010 => 100010011101
001101001101 => 110010110010 => 101101100100 => 010010011011
001101001011 => 110010110100 => 011101100100 => 100010011011
001101000111 => 110010111000 => 001101100110 => 110010011001
001100110101 => 110011001010 => 110101101000 => 001010010111
001100110011 => 110011001100 => 010101101010 => 101010010101
001100101101 => 110011010010 => 101101101000 => 010010010111
001100101011 => 110011010100 => 011101101000 => 100010010111
001100100111 => 110011011000 => 001101101010 => 110010010101
001100011101 => 110011100010 => 100101101100 => 011010010011
001100011011 => 110011100100 => 010101101100 => 101010010011
001100010111 => 110011101000 => 001101101100 => 110010010011
001100001111 => 110011110000 => 000101101110 => 111010010001
001011010101 => 110100101010 => 111011100000 => 000100011111
001011010011 => 110100101100 => 011011100010 => 100100011101
001011001101 => 110100110010 => 101011100100 => 010100011011
001011001011 => 110100110100 => 011011100100 => 100100011011
001011000111 => 110100111000 => 001011100110 => 110100011001
001010110101 => 110101001010 => 110111100000 => 001000011111
001010110011 => 110101001100 => 010111100010 => 101000011101
001010101101 => 110101010010 => 101111100000 => 010000011111
001010101011 => 110101010100 => 011111100000 => 100000011111
001010100111 => 110101011000 => 001111100010 => 110000011101
001010011101 => 110101100010 => 100111100100 => 011000011011
001010011011 => 110101100100 => 010111100100 => 101000011011
001010010111 => 110101101000 => 001111100100 => 110000011011
001010001111 => 110101110000 => 000111100110 => 111000011001
001001110101 => 110110001010 => 110011101000 => 001100010111
001001110011 => 110110001100 => 010011101010 => 101100010101
001001101101 => 110110010010 => 101011101000 => 010100010111
001001101011 => 110110010100 => 011011101000 => 100100010111
001001100111 => 110110011000 => 001011101010 => 110100010101
001001011101 => 110110100010 => 100111101000 => 011000010111
001001011011 => 110110100100 => 010111101000 => 101000010111
001001010111 => 110110101000 => 001111101000 => 110000010111
001001001111 => 110110110000 => 000111101010 => 111000010101
001000111101 => 110111000010 => 100011101100 => 011100010011
001000111011 => 110111000100 => 010011101100 => 101100010011
001000110111 => 110111001000 => 001011101100 => 110100010011
001000101111 => 110111010000 => 000111101100 => 111000010011
001000011111 => 110111100000 => 000011101110 => 111100010001
000111010101 => 111000101010 => 111001110000 => 000110001111
000111010011 => 111000101100 => 011001110010 => 100110001101
000111001101 => 111000110010 => 101001110100 => 010110001011
000111001011 => 111000110100 => 011001110100 => 100110001011
000111000111 => 111000111000 => 001001110110 => 110110001001
000110110101 => 111001001010 => 110101110000 => 001010001111
000110110011 => 111001001100 => 010101110010 => 101010001101
000110101101 => 111001010010 => 101101110000 => 010010001111
000110101011 => 111001010100 => 011101110000 => 100010001111
000110100111 => 111001011000 => 001101110010 => 110010001101
000110011101 => 111001100010 => 100101110100 => 011010001011
000110011011 => 111001100100 => 010101110100 => 101010001011
000110010111 => 111001101000 => 001101110100 => 110010001011
000110001111 => 111001110000 => 000101110110 => 111010001001
000101110101 => 111010001010 => 110011110000 => 001100001111
000101110011 => 111010001100 => 010011110010 => 101100001101
000101101101 => 111010010010 => 101011110000 => 010100001111
000101101011 => 111010010100 => 011011110000 => 100100001111
000101100111 => 111010011000 => 001011110010 => 110100001101
000101011101 => 111010100010 => 100111110000 => 011000001111
000101011011 => 111010100100 => 010111110000 => 101000001111
000101010111 => 111010101000 => 001111110000 => 110000001111
000101001111 => 111010110000 => 000111110010 => 111000001101
000100111101 => 111011000010 => 100011110100 => 011100001011
000100111011 => 111011000100 => 010011110100 => 101100001011
000100110111 => 111011001000 => 001011110100 => 110100001011
000100101111 => 111011010000 => 000111110100 => 111000001011
000100011111 => 111011100000 => 000011110110 => 111100001001
000011110101 => 111100001010 => 110001111000 => 001110000111
000011110011 => 111100001100 => 010001111010 => 101110000101
000011101101 => 111100010010 => 101001111000 => 010110000111
000011101011 => 111100010100 => 011001111000 => 100110000111
000011100111 => 111100011000 => 001001111010 => 110110000101
000011011101 => 111100100010 => 100101111000 => 011010000111
000011011011 => 111100100100 => 010101111000 => 101010000111
000011010111 => 111100101000 => 001101111000 => 110010000111
000011001111 => 111100110000 => 000101111010 => 111010000101
000010111101 => 111101000010 => 100011111000 => 011100000111
000010111011 => 111101000100 => 010011111000 => 101100000111
000010110111 => 111101001000 => 001011111000 => 110100000111
000010101111 => 111101010000 => 000111111000 => 111000000111
000010011111 => 111101100000 => 000011111010 => 111100000101
000001111101 => 111110000010 => 100001111100 => 011110000011
000001111011 => 111110000100 => 010001111100 => 101110000011
000001110111 => 111110001000 => 001001111100 => 110110000011
000001101111 => 111110010000 => 000101111100 => 111010000011
000001011111 => 111110100000 => 000011111100 => 111100000011
000000111111 => 111111000000 => 000001111110 => 111110000001
11010101010 => 00101010101 => 11110000001 => 00001111110
11010101000 => 00101010111 => 11100000111 => 00011111000
11010101100 => 00101010011 => 01110000011 => 10001111100
11010100100 => 00101011011 => 11100001011 => 00011110100
11010110100 => 00101001011 => 10110000011 => 01001111100
11010010100 => 00101101011 => 11100010011 => 00011101100
11011010100 => 00100101011 => 11010000011 => 00101111100
11001010100 => 00110101011 => 11100100011 => 00011011100
11101010100 => 00010101011 => 11100000011 => 00011111100
10101010100 => 01010101011 => 11110000011 => 00001111100
111111111111 => 000000000000 => 000000000000 => 111111111111
111110000001 => 000001111110 => 100000111110 => 011111000001
111110001101 => 000001110010 => 101000001100 => 010111110011
111110110111 => 000001001000 => 001010000000 => 110101111111
111110111101 => 000001000010 => 100010000000 => 011101111111
111110100101 => 000001011010 => 111000000100 => 000111111011
111001100001 => 000110011110 => 101000101110 => 010111010001
111001101101 => 000110010010 => 101010001000 => 010101110111
111000011001 => 000111100110 => 101000111010 => 010111000101
111000000111 => 000111111000 => 001000111110 => 110111000001
111000001101 => 000111110010 => 101000111100 => 010111000011
111000110001 => 000111001110 => 101000110110 => 010111001001
111000111101 => 000111000010 => 100010001100 => 011101110011
111000100101 => 000111011010 => 111000110100 => 000111001011
111011011001 => 000100100110 => 101010000010 => 010101111101
111011000001 => 000100111110 => 101000011110 => 010111100001
111011001101 => 000100110010 => 101010000100 => 010101111011
111011110111 => 000100001000 => 001000100000 => 110111011111
111011100101 => 000100011010 => 110010000100 => 001101111011
111010010001 => 000101101110 => 111000010110 => 000111101001
111010011101 => 000101100010 => 100110000100 => 011001111011
111010000101 => 000101111010 => 111000011100 => 000111100011
111010110101 => 000101001010 => 110110000000 => 001001111111
100111100001 => 011000011110 => 100010101110 => 011101010001
100111101101 => 011000010010 => 101000101000 => 010111010111
100110011001 => 011001100110 => 101010101010 => 010101010101
100110000111 => 011001111000 => 001010101110 => 110101010001
100110001101 => 011001110010 => 101010101100 => 010101010011
100110110111 => 011001001000 => 001010101000 => 110101010111
100110110001 => 011001001110 => 101010100110 => 010101011001
100110111101 => 011001000010 => 100010101000 => 011101010111
100110100101 => 011001011010 => 111010100100 => 000101011011
100001111001 => 011110000110 => 100010111010 => 011101000101
100001100111 => 011110011000 => 001010111010 => 110101000101
100001101101 => 011110010010 => 101010111000 => 010101000111
100000011111 => 011111100000 => 000010111110 => 111101000001
100000000001 => 011111111110 => 101111111110 => 010000000001
100000110111 => 011111001000 => 001010111100 => 110101000011
100000110001 => 011111001110 => 101011110110 => 010100001001
100000111101 => 011111000010 => 100010111100 => 011101000011
100000100101 => 011111011010 => 111011110100 => 000100001011
100011011001 => 011100100110 => 101010110010 => 010101001101
100011000111 => 011100111000 => 001010110110 => 110101001001
100011000001 => 011100111110 => 101011011110 => 010100100001
100011001101 => 011100110010 => 101010110100 => 010101001011
100011110001 => 011100001110 => 100010110110 => 011101001001
100011111101 => 011100000010 => 100000101100 => 011111010011
100011100101 => 011100011010 => 110010110100 => 001101001011
100010010111 => 011101101000 => 001110110100 => 110001001011
100010010001 => 011101101110 => 111011010110 => 000100101001
100010011101 => 011101100010 => 100110110100 => 011001001011
100010000101 => 011101111010 => 111011011100 => 000100100011
100010110101 => 011101001010 => 110110110000 => 001001001111
101101111001 => 010010000110 => 100010100010 => 011101011101
101101100111 => 010010011000 => 001010100010 => 110101011101
101101100001 => 010010011110 => 101010001110 => 010101110001
101101101101 => 010010010010 => 101010100000 => 010101011111
101100011111 => 010011100000 => 000010100110 => 111101011001
101100011001 => 010011100110 => 101010011010 => 010101100101
101100000111 => 010011111000 => 001010011110 => 110101100001
101100000001 => 010011111110 => 101001111110 => 010110000001
101100001101 => 010011110010 => 101010011100 => 010101100011
101100110111 => 010011001000 => 001010100100 => 110101011011
101100110001 => 010011001110 => 101010010110 => 010101101001
101100111101 => 010011000010 => 100010100100 => 011101011011
101100100101 => 010011011010 => 111010010100 => 000101101011
101111011001 => 010000100110 => 101000100010 => 010111011101
101111000111 => 010000111000 => 001000100110 => 110111011001
101111000001 => 010000111110 => 100010011110 => 011101100001
101111001101 => 010000110010 => 101000100100 => 010111011011
101111110001 => 010000001110 => 100000100110 => 011111011001
101111111101 => 010000000010 => 100000001000 => 011111110111
101110010111 => 010001101000 => 001100100100 => 110011011011
101110010001 => 010001101110 => 110010010110 => 001101101001
101110000101 => 010001111010 => 110010011100 => 001101100011
101110110101 => 010001001010 => 110100100000 => 001011011111
101001011111 => 010110100000 => 000011100100 => 111100011011
101001011001 => 010110100110 => 101110010010 => 010001101101
101001000111 => 010110111000 => 001110010110 => 110001101001
101001000001 => 010110111110 => 111001011110 => 000110100001
101001001101 => 010110110010 => 101110010100 => 010001101011
101001110111 => 010110001000 => 001001100100 => 110110011011
101001110001 => 010110001110 => 100110010110 => 011001101001
101000010111 => 010111101000 => 001110011100 => 110001100011
101000010001 => 010111101110 => 111001110110 => 000110001001
101000011101 => 010111100010 => 100110011100 => 011001100011
101000110101 => 010111001010 => 110110011000 => 001001100111
101011010001 => 010100101110 => 110110000110 => 001001111001
101011011101 => 010100100010 => 100101100000 => 011010011111
101011000101 => 010100111010 => 110110001100 => 001001110011
101011110101 => 010100001010 => 110001100000 => 001110011111
101010010101 => 010101101010 => 111110001000 => 000001110111
0000000000 => 1111111111 => 1111111111 => 0000000000
0000000110 => 1111111001 => 0111111101 => 1000000010
0000011000 => 1111100111 => 0111110111 => 1000001000
0000011110 => 1111100001 => 0001111101 => 1110000010
0000010010 => 1111101101 => 1111110101 => 0000001010
0001100000 => 1110011111 => 0111011111 => 1000100000
0001100110 => 1110011001 => 0101110101 => 1010001010
0001111000 => 1110000111 => 0001110111 => 1110001000
0001111110 => 1110000001 => 0000011101 => 1111100010
0001110010 => 1110001101 => 1001110101 => 0110001010
0001001110 => 1110110001 => 0011110101 => 1100001010
0001000010 => 1110111101 => 1111011101 => 0000100010
0001011010 => 1110100101 => 1011110001 => 0100001110
0110000000 => 1001111111 => 0101111111 => 1010000000
0110000110 => 1001111001 => 0101011101 => 1010100010
0110011000 => 1001100111 => 0101010111 => 1010101000
0110011110 => 1001100001 => 0001010101 => 1110101010
0110010010 => 1001101101 => 1101010101 => 0010101010
0111100000 => 1000011111 => 0001011111 => 1110100000
0111100110 => 1000011001 => 0100010101 => 1011101010
0111111000 => 1000000111 => 0000010111 => 1111101000
0111111110 => 1000000001 => 0000000101 => 1111111010
0111110010 => 1000001101 => 1000010101 => 0111101010
0111001000 => 1000110111 => 1001010111 => 0110101000
0111000010 => 1000111101 => 1001011101 => 0110100010
0100100000 => 1011011111 => 1101011111 => 0010100000
0100100110 => 1011011001 => 0111010101 => 1000101010
0100111000 => 1011000111 => 0011010111 => 1100101000
0100111110 => 1011000001 => 0000110101 => 1111001010
0100110010 => 1011001101 => 1011010101 => 0100101010
0100001000 => 1011110111 => 1101110111 => 0010001000
0100001110 => 1011110001 => 0011011101 => 1100100010
0100000010 => 1011111101 => 1101111101 => 0010000010
0100011010 => 1011100101 => 1011011001 => 0100100110
0101101000 => 1010010111 => 1011000111 => 0100111000
0101100010 => 1010011101 => 1011001101 => 0100110010
0101001010 => 1010110101 => 1111001001 => 0000110110
000000000000 => 111111111111 => 111111111111 => 000000000000
000000000110 => 111111111001 => 011111111101 => 100000000010
000000011000 => 111111100111 => 011111110111 => 100000001000
000000011110 => 111111100001 => 000111111101 => 111000000010
000001100000 => 111110011111 => 011111011111 => 100000100000
000001100110 => 111110011001 => 010111110101 => 101000001010
000001111000 => 111110000111 => 000111110111 => 111000001000
000001111110 => 111110000001 => 000001111101 => 111110000010
000001001000 => 111110110111 => 111111010111 => 000000101000
000001000010 => 111110111101 => 111111011101 => 000000100010
000110000000 => 111001111111 => 011101111111 => 100010000000
000110000110 => 111001111001 => 010111011101 => 101000100010
000110011000 => 111001100111 => 010111010111 => 101000101000
000110011110 => 111001100001 => 000101110101 => 111010001010
000110010010 => 111001101101 => 110111010101 => 001000101010
000111100000 => 111000011111 => 000111011111 => 111000100000
000111100110 => 111000011001 => 010001110101 => 101110001010
000111111000 => 111000000111 => 000001110111 => 111110001000
000111111110 => 111000000001 => 000000011101 => 111111100010
000111110010 => 111000001101 => 100001110101 => 011110001010
000111001000 => 111000110111 => 100111010111 => 011000101000
000111001110 => 111000110001 => 001001110101 => 110110001010
000111011010 => 111000100101 => 101001110001 => 010110001110
000100100000 => 111011011111 => 111101011111 => 000010100000
000100111000 => 111011000111 => 001111010111 => 110000101000
000100111110 => 111011000001 => 000011110101 => 111100001010
000100110010 => 111011001101 => 101111010101 => 010000101010
000100011010 => 111011100101 => 101111011001 => 010000100110
000101101000 => 111010010111 => 101111000111 => 010000111000
000101101110 => 111010010001 => 001011110001 => 110100001110
000101100010 => 111010011101 => 101111001101 => 010000110010
000101111010 => 111010000101 => 100011110001 => 011100001110
000101001010 => 111010110101 => 111111001001 => 000000110110
011000000000 => 100111111111 => 010111111111 => 101000000000
011000000110 => 100111111001 => 010101111101 => 101010000010
011000011000 => 100111100111 => 010101110111 => 101010001000
011000011110 => 100111100001 => 000101011101 => 111010100010
011001100000 => 100110011111 => 010101011111 => 101010100000
011001100110 => 100110011001 => 010101010101 => 101010101010
011001111000 => 100110000111 => 000101010111 => 111010101000
011001111110 => 100110000001 => 000001010101 => 111110101010
011001110010 => 100110001101 => 100101010101 => 011010101010
011001011010 => 100110100101 => 101101010001 => 010010101110
011110000000 => 100001111111 => 000101111111 => 111010000000
011110000110 => 100001111001 => 010001011101 => 101110100010
011110011000 => 100001100111 => 010001010111 => 101110101000
011110011110 => 100001100001 => 000100010101 => 111011101010
011110010010 => 100001101101 => 110001010101 => 001110101010
011111100000 => 100000011111 => 000001011111 => 111110100000
011111100110 => 100000011001 => 010000010101 => 101111101010
011111111000 => 100000000111 => 000000010111 => 111111101000
011111111110 => 100000000001 => 000000000101 => 111111111010
011111001000 => 100000110111 => 100001010111 => 011110101000
011111000010 => 100000111101 => 100001011101 => 011110100010
011100111000 => 100011000111 => 001001010111 => 110110101000
011100001110 => 100011110001 => 001001011101 => 110110100010
011100011010 => 100011100101 => 101001011001 => 010110100110
011101101000 => 100010010111 => 101001000111 => 010110111000
011101100010 => 100010011101 => 101001001101 => 010110110010
011101001010 => 100010110101 => 111001001001 => 000110110110
010010011000 => 101101100111 => 011101010111 => 100010101000
010010011110 => 101101100001 => 000111010101 => 111000101010
010011100110 => 101100011001 => 010011010101 => 101100101010
010011111000 => 101100000111 => 000011010111 => 111100101000
010011110010 => 101100001101 => 100011010101 => 011100101010
010011001000 => 101100110111 => 101101010111 => 010010101000
010011011010 => 101100100101 => 101011010001 => 010100101110
010000100000 => 101111011111 => 110111011111 => 001000100000
010000111110 => 101111000001 => 000011011101 => 111100100010
010001101000 => 101110010111 => 101101100111 => 010010011000
010001101110 => 101110010001 => 001011011001 => 110100100110
010001111010 => 101110000101 => 100011011001 => 011100100110
010110100110 => 101001011001 => 011011000101 => 100100111010
010110111000 => 101001000111 => 001011000111 => 110100111000
010110110010 => 101001001101 => 101011000101 => 010100111010
010110001000 => 101001110111 => 101100110111 => 010011001000
010110001110 => 101001110001 => 001011001101 => 110100110010
010110011010 => 101001100101 => 101011001001 => 010100110110
010111101000 => 101000010111 => 100011000111 => 011100111000
010111100010 => 101000011101 => 100011001101 => 011100110010
010111001010 => 101000110101 => 110011001001 => 001100110110
010100101000 => 101011010111 => 111100100111 => 000011011000
010100101110 => 101011010001 => 001111001001 => 110000110110
010100111010 => 101011000101 => 100111001001 => 011000110110
010101101010 => 101010010101 => 110111000001 => 001000111110
0010101010 => 1101010101 => 1111100001 => 0000011110
0010101000 => 1101010111 => 1111000111 => 0000111000
0010101100 => 1101010011 => 0111100011 => 1000011100
0010110100 => 1101001011 => 1011100011 => 0100011100
0011010100 => 1100101011 => 1101100011 => 0010011100
0001010100 => 1110101011 => 1111100011 => 0000011100
0101010100 => 1010101011 => 1111000011 => 0000111100
00101010101 => 11010101010 => 11111100000 => 00000011111
00101010111 => 11010101000 => 00111110000 => 11000001111
0010101110 => 1101010001 => 0011110001 => 1100001110
00101010011 => 11010101100 => 01111100010 => 10000011101
0010100000 => 1101011111 => 1110011111 => 0001100000
00101011011 => 11010100100 => 01011110000 => 10100001111
0010111100 => 1101000011 => 0001110011 => 1110001100
00101001011 => 11010110100 => 01111100100 => 10000011011
00101101011 => 11010010100 => 01101110000 => 10010001111
0011110100 => 1100001011 => 1000110011 => 0111001100
00100101011 => 11011010100 => 01111101000 => 10000010111
0000010100 => 1111101011 => 1111110011 => 0000001100
00110101011 => 11001010100 => 01110110000 => 10001001111
0111010100 => 1000101011 => 1100100011 => 0011011100
00010101011 => 11101010100 => 01111110000 => 10000001111
01010101011 => 10101010100 => 01111100000 => 10000011111
0000000010 => 1111111101 => 1111111101 => 0000000010
0000001110 => 1111110001 => 0011111101 => 1100000010
0000111110 => 1111000001 => 0000111101 => 1111000010
0011111110 => 1100000001 => 0000001101 => 1111110010
00000000000 => 11111111111 => 11111111111 => 00000000000
00000000010 => 11111111101 => 11111111101 => 00000000010
0000000100 => 1111111011 => 1111111011 => 0000000100
00000000110 => 11111111001 => 01111111101 => 10000000010
0000001010 => 1111110101 => 1111111001 => 0000000110
00000001110 => 11111110001 => 00111111101 => 11000000010
0000010110 => 1111101001 => 0111111001 => 1000000110
00000011110 => 11111100001 => 00011111101 => 11100000010
0000101110 => 1111010001 => 0011111001 => 1100000110
00000111110 => 11111000001 => 00001111101 => 11110000010
0001011110 => 1110100001 => 0001111001 => 1110000110
00001111110 => 11110000001 => 00000111101 => 11111000010
0010111110 => 1101000001 => 0000111001 => 1111000110
00011111110 => 11100000001 => 00000011101 => 11111100010
0101111110 => 1010000001 => 0000011001 => 1111100110
00111111110 => 11000000001 => 00000001101 => 11111110010
01111111110 => 10000000001 => 00000000101 => 11111111010
0010110010 => 1101001101 => 1011100101 => 0100011010
0010111000 => 1101000111 => 0011100111 => 1100011000
0011001010 => 1100110101 => 1101101001 => 0010010110
0011001100 => 1100110011 => 0101101011 => 1010010100
0011010010 => 1100101101 => 1101100101 => 0010011010
0011011000 => 1100100111 => 0101100111 => 1010011000
0011100010 => 1100011101 => 1001101101 => 0110010010
0011100100 => 1100011011 => 1001101011 => 0110010100
0011101000 => 1100010111 => 1001100111 => 0110011000
0011110000 => 1100001111 => 0001101111 => 1110010000
0100101010 => 1011010101 => 1111010001 => 0000101110
0100101100 => 1011010011 => 0111010011 => 1000101100
0100110100 => 1011001011 => 1011010011 => 0100101100
0101001100 => 1010110011 => 0111001011 => 1000110100
0101010010 => 1010101101 => 1111000101 => 0000111010
0101011000 => 1010100111 => 0111000111 => 1000111000
0101100100 => 1010011011 => 1011001011 => 0100110100
0101110000 => 1010001111 => 0011001111 => 1100110000
0110001010 => 1001110101 => 1101011001 => 0010100110
0110001100 => 1001110011 => 0101011011 => 1010100100
0110010100 => 1001101011 => 1101010011 => 0010101100
0110100010 => 1001011101 => 1101001101 => 0010110010
0110100100 => 1001011011 => 1101001011 => 0010110100
0110101000 => 1001010111 => 1101000111 => 0010111000
0110110000 => 1001001111 => 0101001111 => 1010110000
0111000100 => 1000111011 => 1001011011 => 0110100100
0111010000 => 1000101111 => 1001001111 => 0110110000
001010101010 => 110101010101 => 111111000001 => 000000111110
001010101100 => 110101010011 => 011111000011 => 100000111100
001010110010 => 110101001101 => 101111000101 => 010000111010
001010110100 => 110101001011 => 101111000011 => 010000111100
001010111000 => 110101000111 => 001111000111 => 110000111000
001011001010 => 110100110101 => 110111001001 => 001000110110
001011001100 => 110100110011 => 010111001011 => 101000110100
001011010010 => 110100101101 => 110111000101 => 001000111010
001011010100 => 110100101011 => 110111000011 => 001000111100
001011011000 => 110100100111 => 010111000111 => 101000111000
001011100010 => 110100011101 => 100111001101 => 011000110010
001011100100 => 110100011011 => 100111001011 => 011000110100
001011101000 => 110100010111 => 100111000111 => 011000111000
001011110000 => 110100001111 => 000111001111 => 111000110000
001100101010 => 110011010101 => 111011010001 => 000100101110
001100101100 => 110011010011 => 011011010011 => 100100101100
001100110010 => 110011001101 => 101011010101 => 010100101010
001100110100 => 110011001011 => 101011010011 => 010100101100
001100111000 => 110011000111 => 001011010111 => 110100101000
001101001010 => 110010110101 => 111011001001 => 000100110110
001101001100 => 110010110011 => 011011001011 => 100100110100
001101010010 => 110010101101 => 111011000101 => 000100111010
001101010100 => 110010101011 => 111011000011 => 000100111100
001101011000 => 110010100111 => 011011000111 => 100100111000
001101100010 => 110010011101 => 101011001101 => 010100110010
001101100100 => 110010011011 => 101011001011 => 010100110100
001101101000 => 110010010111 => 101011000111 => 010100111000
001101110000 => 110010001111 => 001011001111 => 110100110000
001110001010 => 110001110101 => 110011011001 => 001100100110
001110001100 => 110001110011 => 010011011011 => 101100100100
001110010010 => 110001101101 => 110011010101 => 001100101010
001110010100 => 110001101011 => 110011010011 => 001100101100
001110011000 => 110001100111 => 010011010111 => 101100101000
001110100010 => 110001011101 => 110011001101 => 001100110010
001110100100 => 110001011011 => 110011001011 => 001100110100
001110101000 => 110001010111 => 110011000111 => 001100111000
001110110000 => 110001001111 => 010011001111 => 101100110000
001111000010 => 110000111101 => 100011011101 => 011100100010
001111000100 => 110000111011 => 100011011011 => 011100100100
001111001000 => 110000110111 => 100011010111 => 011100101000
001111010000 => 110000101111 => 100011001111 => 011100110000
001111100000 => 110000011111 => 000011011111 => 111100100000
010010101010 => 101101010101 => 111110100001 => 000001011110
010010101100 => 101101010011 => 011110100011 => 100001011100
010010110010 => 101101001101 => 101110100101 => 010001011010
010010110100 => 101101001011 => 101110100011 => 010001011100
010010111000 => 101101000111 => 001110100111 => 110001011000
010011001010 => 101100110101 => 110110101001 => 001001010110
010011001100 => 101100110011 => 010110101011 => 101001010100
010011010010 => 101100101101 => 110110100101 => 001001011010
010011010100 => 101100101011 => 110110100011 => 001001011100
010011011000 => 101100100111 => 010110100111 => 101001011000
010011100010 => 101100011101 => 100110101101 => 011001010010
010011100100 => 101100011011 => 100110101011 => 011001010100
010011101000 => 101100010111 => 100110100111 => 011001011000
010011110000 => 101100001111 => 000110101111 => 111001010000
010100101010 => 101011010101 => 111110010001 => 000001101110
010100101100 => 101011010011 => 011110010011 => 100001101100
010100110010 => 101011001101 => 101110010101 => 010001101010
010100110100 => 101011001011 => 101110010011 => 010001101100
010100111000 => 101011000111 => 001110010111 => 110001101000
010101001010 => 101010110101 => 111110001001 => 000001110110
010101001100 => 101010110011 => 011110001011 => 100001110100
010101010010 => 101010101101 => 111110000101 => 000001111010
010101010100 => 101010101011 => 111110000011 => 000001111100
010101011000 => 101010100111 => 011110000111 => 100001111000
010101100010 => 101010011101 => 101110001101 => 010001110010
010101100100 => 101010011011 => 101110001011 => 010001110100
010101101000 => 101010010111 => 101110000111 => 010001111000
010101110000 => 101010001111 => 001110001111 => 110001110000
010110001010 => 101001110101 => 110110011001 => 001001100110
010110001100 => 101001110011 => 010110011011 => 101001100100
010110010010 => 101001101101 => 110110010101 => 001001101010
010110010100 => 101001101011 => 110110010011 => 001001101100
010110011000 => 101001100111 => 010110010111 => 101001101000
010110100010 => 101001011101 => 110110001101 => 001001110010
010110100100 => 101001011011 => 110110001011 => 001001110100
010110101000 => 101001010111 => 110110000111 => 001001111000
010110110000 => 101001001111 => 010110001111 => 101001110000
010111000010 => 101000111101 => 100110011101 => 011001100010
010111000100 => 101000111011 => 100110011011 => 011001100100
010111001000 => 101000110111 => 100110010111 => 011001101000
010111010000 => 101000101111 => 100110001111 => 011001110000
010111100000 => 101000011111 => 000110011111 => 111001100000
011000101010 => 100111010101 => 111010110001 => 000101001110
011000101100 => 100111010011 => 011010110011 => 100101001100
011000110010 => 100111001101 => 101010110101 => 010101001010
011000110100 => 100111001011 => 101010110011 => 010101001100
011000111000 => 100111000111 => 001010110111 => 110101001000
011001001010 => 100110110101 => 111010101001 => 000101010110
011001001100 => 100110110011 => 011010101011 => 100101010100
011001010010 => 100110101101 => 111010100101 => 000101011010
011001010100 => 100110101011 => 111010100011 => 000101011100
011001011000 => 100110100111 => 011010100111 => 100101011000
011001100010 => 100110011101 => 101010101101 => 010101010010
011001100100 => 100110011011 => 101010101011 => 010101010100
011001101000 => 100110010111 => 101010100111 => 010101011000
011001110000 => 100110001111 => 001010101111 => 110101010000
011010001010 => 100101110101 => 111010011001 => 000101100110
011010001100 => 100101110011 => 011010011011 => 100101100100
011010010010 => 100101101101 => 111010010101 => 000101101010
011010010100 => 100101101011 => 111010010011 => 000101101100
011010011000 => 100101100111 => 011010010111 => 100101101000
011010100010 => 100101011101 => 111010001101 => 000101110010
011010100100 => 100101011011 => 111010001011 => 000101110100
011010101000 => 100101010111 => 111010000111 => 000101111000
011010110000 => 100101001111 => 011010001111 => 100101110000
011011000010 => 100100111101 => 101010011101 => 010101100010
011011000100 => 100100111011 => 101010011011 => 010101100100
011011001000 => 100100110111 => 101010010111 => 010101101000
011011010000 => 100100101111 => 101010001111 => 010101110000
011011100000 => 100100011111 => 001010011111 => 110101100000
011100001010 => 100011110101 => 110010111001 => 001101000110
011100001100 => 100011110011 => 010010111011 => 101101000100
011100010010 => 100011101101 => 110010110101 => 001101001010
011100010100 => 100011101011 => 110010110011 => 001101001100
011100011000 => 100011100111 => 010010110111 => 101101001000
011100100010 => 100011011101 => 110010101101 => 001101010010
011100100100 => 100011011011 => 110010101011 => 001101010100
011100101000 => 100011010111 => 110010100111 => 001101011000
011100110000 => 100011001111 => 010010101111 => 101101010000
011101000010 => 100010111101 => 110010011101 => 001101100010
011101000100 => 100010111011 => 110010011011 => 001101100100
011101001000 => 100010110111 => 110010010111 => 001101101000
011101010000 => 100010101111 => 110010001111 => 001101110000
011101100000 => 100010011111 => 010010011111 => 101101100000
011110000010 => 100001111101 => 100010111101 => 011101000010
011110000100 => 100001111011 => 100010111011 => 011101000100
011110001000 => 100001110111 => 100010110111 => 011101001000
011110010000 => 100001101111 => 100010101111 => 011101010000
011110100000 => 100001011111 => 100010011111 => 011101100000
011111000000 => 100000111111 => 000010111111 => 111101000000
10101010101 => 01010101010 => 11111000000 => 00000111111
10101010010 => 01010101101 => 11110000101 => 00001111010
10101000100 => 01010111011 => 11100011011 => 00011100100
10100010100 => 01011101011 => 11100110011 => 00011001100
10100001000 => 01011110111 => 11001110111 => 00110001000
10010100100 => 01101011011 => 11101001011 => 00010110100
10010010001 => 01101101110 => 11101010110 => 00010101001
10001001001 => 01110110110 => 11101101010 => 00010010101
01000100010 => 10111011101 => 11101101101 => 00010010010
01000101010 => 10111010101 => 11110110001 => 00001001110
01000010001 => 10111101110 => 11101110110 => 00010001001
01000001000 => 10111110111 => 11011110111 => 00100001000
01010001010 => 10101110101 => 11110011001 => 00001100110
01010100010 => 10101011101 => 11110001101 => 00001110010
01010101010 => 10101010101 => 11111000001 => 00000111110
01010010001 => 10101101110 => 11110010110 => 00001101001
01010001000 => 10101110111 => 11100110111 => 00011001000
01001010001 => 10110101110 => 11110100110 => 00001011001
01001001000 => 10110110111 => 11101010111 => 00010101000
01000100001 => 10111011110 => 11101101110 => 00010010001
01000101000 => 10111010111 => 11101100111 => 00010011000
01000010000 => 10111101111 => 11011101111 => 00100010000
00100010101 => 11011101010 => 11111011000 => 00000100111
00100010001 => 11011101110 => 11110110110 => 00001001001
00100001000 => 11011110111 => 11101110111 => 00010001000
00101000101 => 11010111010 => 11111001100 => 00000110011
00101010001 => 11010101110 => 11111000110 => 00000111001
00101010100 => 11010101011 => 11111000011 => 00000111100
00101001000 => 11010110111 => 11110010111 => 00001101000
00100100001 => 11011011110 => 11110101110 => 00001010001
00100101000 => 11011010111 => 11110100111 => 00001011000
00100010000 => 11011101111 => 11101101111 => 00010010000
00010000101 => 11101111010 => 11111011100 => 00000100011
00010000010 => 11101111101 => 11110111101 => 00001000010
00010001001 => 11101110110 => 11111011010 => 00000100101
00010001010 => 11101110101 => 11111011001 => 00000100110
00010000100 => 11101111011 => 11110111011 => 00001000100
00010010001 => 11101101110 => 11111010110 => 00000101001
00010010010 => 11101101101 => 11111010101 => 00000101010
00010010100 => 11101101011 => 11111010011 => 00000101100
00010001000 => 11101110111 => 11110110111 => 00001001000
00010100001 => 11101011110 => 11111001110 => 00000110001
00010100010 => 11101011101 => 11111001101 => 00000110010
00010100100 => 11101011011 => 11111001011 => 00000110100
00010101000 => 11101010111 => 11111000111 => 00000111000
00010010000 => 11101101111 => 11110101111 => 00001010000
00001000001 => 11110111110 => 11111011110 => 00000100001
00001000010 => 11110111101 => 11111011101 => 00000100010
00001000100 => 11110111011 => 11111011011 => 00000100100
00001001000 => 11110110111 => 11111010111 => 00000101000
00000100000 => 11111011111 => 11111011111 => 00000100000
101010101010101010 => 010101010101010101 => 111111110000000001 => 000000001111111110
110101010101010100 => 001010101010101011 => 111111100000000011 => 000000011111111100
10101010101010101010 => 01010101010101010101 => 11111111100000000001 => 00000000011111111110
11010101010101010100 => 00101010101010101011 => 11111111000000000011 => 00000000111111111100
0100000000 => 1011111111 => 1011111111 => 0100000000
0100000011 => 1011111100 => 0110111110 => 1001000001
0100011111 => 1011100000 => 0000110110 => 1111001001
0100111111 => 1011000000 => 0000011010 => 1111100101
0101111111 => 1010000000 => 0000001100 => 1111110011
01000000000 => 10111111111 => 10111111111 => 01000000000
01000000011 => 10111111100 => 01101111110 => 10010000001
0100000101 => 1011111010 => 1110111100 => 0001000011
0100001011 => 1011110100 => 0111011100 => 1000100011
01000011111 => 10111100000 => 00001101110 => 11110010001
0100101111 => 1011010000 => 0001110100 => 1110001011
0101011111 => 1010100000 => 0000111000 => 1111000111
01001111111 => 10110000000 => 00000011010 => 11111100101
0110111111 => 1001000000 => 0000010100 => 1111101011
01011111111 => 10100000000 => 00000001100 => 11111110011
111111110000000010 => 000000001111111101 => 100000000111111101 => 011111111000000010
101111111100000000 => 010000000011111111 => 000000010011111111 => 111111101100000000
11111111100000000010 => 00000000011111111101 => 10000000001111111101 => 01111111110000000010
111111101000000010 => 000000010111111101 => 110000000011111101 => 001111111100000010
101111111010000000 => 010000000101111111 => 100000010001111111 => 011111101110000000
10111111111000000000 => 01000000000111111111 => 00000000100111111111 => 11111111011000000000
1111111111000000000010 => 0000000000111111111101 => 1000000000011111111101 => 0111111111100000000010
11111111010000000010 => 00000000101111111101 => 11000000000111111101 => 00111111111000000010
111111100100000010 => 000000011011111101 => 110000000101111101 => 001111111010000010
111111011000000010 => 000000100111111101 => 101000000011111101 => 010111111100000010
101111111001000000 => 010000000110111111 => 100000010010111111 => 011111101101000000
101111110110000000 => 010000001001111111 => 010000010001111111 => 101111101110000000
10111111110100000000 => 01000000001011111111 => 10000000100011111111 => 01111111011100000000
1011111111110000000000 => 0100000000001111111111 => 0000000001001111111111 => 1111111110110000000000
0101010110 => 1010101001 => 0111100001 => 1000011110
0101011001 => 1010100110 => 1011100010 => 0100011101
0101011010 => 1010100101 => 1011100001 => 0100011110
0101011100 => 1010100011 => 0011100011 => 1100011100
0101100101 => 1010011010 => 1101100100 => 0010011011
0101100110 => 1010011001 => 0101100101 => 1010011010
0101101001 => 1010010110 => 1101100010 => 0010011101
0101101010 => 1010010101 => 1101100001 => 0010011110
0101101100 => 1010010011 => 0101100011 => 1010011100
0101110001 => 1010001110 => 1001100110 => 0110011001
0101110010 => 1010001101 => 1001100101 => 0110011010
0101110100 => 1010001011 => 1001100011 => 0110011100
0101111000 => 1010000111 => 0001100111 => 1110011000
0110010101 => 1001101010 => 1110101000 => 0001010111
0110010110 => 1001101001 => 0110101001 => 1001010110
0110011001 => 1001100110 => 1010101010 => 0101010101
0110011010 => 1001100101 => 1010101001 => 0101010110
0110011100 => 1001100011 => 0010101011 => 1101010100
0110100101 => 1001011010 => 1110100100 => 0001011011
0110101001 => 1001010110 => 1110100010 => 0001011101
0110101010 => 1001010101 => 1110100001 => 0001011110
0110101100 => 1001010011 => 0110100011 => 1001011100
0110110001 => 1001001110 => 1010100110 => 0101011001
0110110010 => 1001001101 => 1010100101 => 0101011010
0110110100 => 1001001011 => 1010100011 => 0101011100
0110111000 => 1001000111 => 0010100111 => 1101011000
0111000101 => 1000111010 => 1100101100 => 0011010011
0111000110 => 1000111001 => 0100101101 => 1011010010
0111001001 => 1000110110 => 1100101010 => 0011010101
0111001010 => 1000110101 => 1100101001 => 0011010110
0111001100 => 1000110011 => 0100101011 => 1011010100
0111010010 => 1000101101 => 1100100101 => 0011011010
0111011000 => 1000100111 => 0100100111 => 1011011000
0111100010 => 1000011101 => 1000101101 => 0111010010
0111100100 => 1000011011 => 1000101011 => 0111010100
0111101000 => 1000010111 => 1000100111 => 0111011000
0111110000 => 1000001111 => 0000101111 => 1111010000
010101010110 => 101010101001 => 011111000001 => 100000111110
010101011001 => 101010100110 => 101111000010 => 010000111101
010101011010 => 101010100101 => 101111000001 => 010000111110
010101011100 => 101010100011 => 001111000011 => 110000111100
010101100101 => 101010011010 => 110111000100 => 001000111011
010101101001 => 101010010110 => 110111000010 => 001000111101
010101101100 => 101010010011 => 010111000011 => 101000111100
010101110001 => 101010001110 => 100111000110 => 011000111001
010101110010 => 101010001101 => 100111000101 => 011000111010
010101110100 => 101010001011 => 100111000011 => 011000111100
010101111000 => 101010000111 => 000111000111 => 111000111000
010110010101 => 101001101010 => 111011001000 => 000100110111
010110010110 => 101001101001 => 011011001001 => 100100110110
010110011001 => 101001100110 => 101011001010 => 010100110101
010110011100 => 101001100011 => 001011001011 => 110100110100
010110100101 => 101001011010 => 111011000100 => 000100111011
010110101001 => 101001010110 => 111011000010 => 000100111101
010110101010 => 101001010101 => 111011000001 => 000100111110
010110101100 => 101001010011 => 011011000011 => 100100111100
010110110001 => 101001001110 => 101011000110 => 010100111001
010110110100 => 101001001011 => 101011000011 => 010100111100
010111000101 => 101000111010 => 110011001100 => 001100110011
010111000110 => 101000111001 => 010011001101 => 101100110010
010111001001 => 101000110110 => 110011001010 => 001100110101
010111001100 => 101000110011 => 010011001011 => 101100110100
010111010001 => 101000101110 => 110011000110 => 001100111001
010111010010 => 101000101101 => 110011000101 => 001100111010
010111010100 => 101000101011 => 110011000011 => 001100111100
010111011000 => 101000100111 => 010011000111 => 101100111000
010111100001 => 101000011110 => 100011001110 => 011100110001
010111100100 => 101000011011 => 100011001011 => 011100110100
010111110000 => 101000001111 => 000011001111 => 111100110000
011001010101 => 100110101010 => 111101010000 => 000010101111
011001010110 => 100110101001 => 011101010001 => 100010101110
011001011001 => 100110100110 => 101101010010 => 010010101101
011001011100 => 100110100011 => 001101010011 => 110010101100
011001100101 => 100110011010 => 110101010100 => 001010101011
011001101001 => 100110010110 => 110101010010 => 001010101101
011001101100 => 100110010011 => 010101010011 => 101010101100
011001110001 => 100110001110 => 100101010110 => 011010101001
011001110100 => 100110001011 => 100101010011 => 011010101100
011010010101 => 100101101010 => 111101001000 => 000010110111
011010010110 => 100101101001 => 011101001001 => 100010110110
011010011010 => 100101100101 => 101101001001 => 010010110110
011010011100 => 100101100011 => 001101001011 => 110010110100
011010100101 => 100101011010 => 111101000100 => 000010111011
011010100110 => 100101011001 => 011101000101 => 100010111010
011010101001 => 100101010110 => 111101000010 => 000010111101
011010101010 => 100101010101 => 111101000001 => 000010111110
011010101100 => 100101010011 => 011101000011 => 100010111100
011010110001 => 100101001110 => 101101000110 => 010010111001
011010110010 => 100101001101 => 101101000101 => 010010111010
011010110100 => 100101001011 => 101101000011 => 010010111100
011010111000 => 100101000111 => 001101000111 => 110010111000
011011000101 => 100100111010 => 110101001100 => 001010110011
011011000110 => 100100111001 => 010101001101 => 101010110010
011011001001 => 100100110110 => 110101001010 => 001010110101
011011001010 => 100100110101 => 110101001001 => 001010110110
011011001100 => 100100110011 => 010101001011 => 101010110100
011011010001 => 100100101110 => 110101000110 => 001010111001
011011010010 => 100100101101 => 110101000101 => 001010111010
011011010100 => 100100101011 => 110101000011 => 001010111100
011011011000 => 100100100111 => 010101000111 => 101010111000
011011100001 => 100100011110 => 100101001110 => 011010110001
011011100010 => 100100011101 => 100101001101 => 011010110010
011011100100 => 100100011011 => 100101001011 => 011010110100
011011101000 => 100100010111 => 100101000111 => 011010111000
011011110000 => 100100001111 => 000101001111 => 111010110000
011100010110 => 100011101001 => 011001011001 => 100110100110
011100011001 => 100011100110 => 101001011010 => 010110100101
011100011100 => 100011100011 => 001001011011 => 110110100100
011100101001 => 100011010110 => 111001010010 => 000110101101
011100101010 => 100011010101 => 111001010001 => 000110101110
011100101100 => 100011010011 => 011001010011 => 100110101100
011100110001 => 100011001110 => 101001010110 => 010110101001
011100110100 => 100011001011 => 101001010011 => 010110101100
011101000101 => 100010111010 => 111001001100 => 000110110011
011101001001 => 100010110110 => 111001001010 => 000110110101
011101001100 => 100010110011 => 011001001011 => 100110110100
011101010001 => 100010101110 => 111001000110 => 000110111001
011101010010 => 100010101101 => 111001000101 => 000110111010
011101010100 => 100010101011 => 111001000011 => 000110111100
011101011000 => 100010100111 => 011001000111 => 100110111000
011101100001 => 100010011110 => 101001001110 => 010110110001
011101100100 => 100010011011 => 101001001011 => 010110110100
011101110000 => 100010001111 => 001001001111 => 110110110000
011110000101 => 100001111010 => 110001011100 => 001110100011
011110001001 => 100001110110 => 110001011010 => 001110100101
011110001010 => 100001110101 => 110001011001 => 001110100110
011110001100 => 100001110011 => 010001011011 => 101110100100
011110010001 => 100001101110 => 110001010110 => 001110101001
011110010100 => 100001101011 => 110001010011 => 001110101100
011110100001 => 100001011110 => 110001001110 => 001110110001
011110100010 => 100001011101 => 110001001101 => 001110110010
011110100100 => 100001011011 => 110001001011 => 001110110100
011110101000 => 100001010111 => 110001000111 => 001110111000
011110110000 => 100001001111 => 010001001111 => 101110110000
011111000001 => 100000111110 => 100001011110 => 011110100001
011111000100 => 100000111011 => 100001011011 => 011110100100
011111010000 => 100000101111 => 100001001111 => 011110110000
0100000100 => 1011111011 => 1101111011 => 0010000100
0011100110 => 1100011001 => 0100110101 => 1011001010
0011101010 => 1100010101 => 1100110001 => 0011001110
0011101100 => 1100010011 => 0100110011 => 1011001100
0001101110 => 1110010001 => 0010111001 => 1101000110
0010110110 => 1101001001 => 0101110001 => 1010001110
0011110010 => 1100001101 => 1000110101 => 0111001010
0001110110 => 1110001001 => 0100111001 => 1011000110
0100111010 => 1011000101 => 1001101001 => 0110010110
0010111010 => 1101000101 => 1001110001 => 0110001110
0011111000 => 1100000111 => 0000110111 => 1111001000
0001111010 => 1110000101 => 1000111001 => 0111000110
0100111100 => 1011000011 => 0001101011 => 1110010100
0001111100 => 1110000011 => 0000111011 => 1111000100
001111000110 => 110000111001 => 010001101101 => 101110010010
001111001010 => 110000110101 => 110001101001 => 001110010110
100111001100 => 011000110011 => 010010101011 => 101101010100
001111001100 => 110000110011 => 010001101011 => 101110010100
001011010110 => 110100101001 => 011011100001 => 100100011110
001111010010 => 110000101101 => 110001100101 => 001110011010
100111010100 => 011000101011 => 110010100011 => 001101011100
001111010100 => 110000101011 => 110001100011 => 001110011100
000111010110 => 111000101001 => 011001110001 => 100110001110
001011011010 => 110100100101 => 101011100001 => 010100011110
100111011000 => 011000100111 => 010010100111 => 101101011000
001111011000 => 110000100111 => 010001100111 => 101110011000
100011011100 => 011100100011 => 001010110011 => 110101001100
010011011100 => 101100100011 => 001011010011 => 110100101100
001011011100 => 110100100011 => 001011100011 => 110100011100
000111011100 => 111000100011 => 001001110011 => 110110001100
000011011110 => 111100100001 => 000101111001 => 111010000110
001101100110 => 110010011001 => 010101100101 => 101010011010
001101101010 => 110010010101 => 110101100001 => 001010011110
100101101100 => 011010010011 => 010110100011 => 101001011100
001101101100 => 110010010011 => 010101100011 => 101010011100
001011100110 => 110100011001 => 010011100101 => 101100011010
001111100010 => 110000011101 => 100001101101 => 011110010010
100111100100 => 011000011011 => 100010101011 => 011101010100
001111100100 => 110000011011 => 100001101011 => 011110010100
010011101010 => 101100010101 => 110011010001 => 001100101110
001011101010 => 110100010101 => 110011100001 => 001100011110
100111101000 => 011000010111 => 100010100111 => 011101011000
001111101000 => 110000010111 => 100001100111 => 011110011000
000111101010 => 111000010101 => 110001110001 => 001110001110
100011101100 => 011100010011 => 010010110011 => 101101001100
010011101100 => 101100010011 => 010011010011 => 101100101100
001011101100 => 110100010011 => 010011100011 => 101100011100
000111101100 => 111000010011 => 010001110011 => 101110001100
000011101110 => 111100010001 => 001001111001 => 110110000110
101001110100 => 010110001011 => 100110010011 => 011001101100
001001110110 => 110110001001 => 010011101001 => 101100010110
001101110010 => 110010001101 => 100101100101 => 011010011010
100101110100 => 011010001011 => 100110100011 => 011001011100
001101110100 => 110010001011 => 100101100011 => 011010011100
000101110110 => 111010001001 => 010011110001 => 101100001110
001011110010 => 110100001101 => 100011100101 => 011100011010
100111110000 => 011000001111 => 000010101111 => 111101010000
001111110000 => 110000001111 => 000001101111 => 111110010000
100011110100 => 011100001011 => 100010110011 => 011101001100
010011110100 => 101100001011 => 100011010011 => 011100101100
001011110100 => 110100001011 => 100011100011 => 011100011100
000111110100 => 111000001011 => 100001110011 => 011110001100
000011110110 => 111100001001 => 010001111001 => 101110000110
110001111000 => 001110000111 => 000100110111 => 111011001000
101001111000 => 010110000111 => 000110010111 => 111001101000
001001111010 => 110110000101 => 100011101001 => 011100010110
100101111000 => 011010000111 => 000110100111 => 111001011000
001101111000 => 110010000111 => 000101100111 => 111010011000
100011111000 => 011100000111 => 000010110111 => 111101001000
001011111000 => 110100000111 => 000011100111 => 111100011000
000011111010 => 111100000101 => 100001111001 => 011110000110
010001111100 => 101110000011 => 000011011011 => 111100100100
001001111100 => 110110000011 => 000011101011 => 111100010100
000101111100 => 111010000011 => 000011110011 => 111100001100
000011111100 => 111100000011 => 000001111011 => 111110000100
0000000101 => 1111111010 => 1111111100 => 0000000011
0000001101 => 1111110010 => 1011111100 => 0100000011
0000011101 => 1111100010 => 1001111100 => 0110000011
0001111101 => 1110000010 => 1000011100 => 0111100011
0011111101 => 1100000010 => 1000001100 => 0111110011
00000000101 => 11111111010 => 11111111100 => 00000000011
0000001001 => 1111110110 => 1111111010 => 0000000101
00000001101 => 11111110010 => 10111111100 => 01000000011
0000010101 => 1111101010 => 1111111000 => 0000000111
00000011101 => 11111100010 => 10011111100 => 01100000011
0000101101 => 1111010010 => 1011111000 => 0100000111
00000111101 => 11111000010 => 10001111100 => 01110000011
00001111101 => 11110000010 => 10000111100 => 01111000011
0010111101 => 1101000010 => 1000111000 => 0111000111
00011111101 => 11100000010 => 10000011100 => 01111100011
0101111101 => 1010000010 => 1000011000 => 0111100111
00111111101 => 11000000010 => 10000001100 => 01111110011
11111111101 => 00000000010 => 10000000000 => 01111111111
100101010101 => 011010101010 => 111110100000 => 000001011111
100101011001 => 011010100110 => 101110100010 => 010001011101
100101100101 => 011010011010 => 110110100100 => 001001011011
100101101001 => 011010010110 => 110110100010 => 001001011101
100101110001 => 011010001110 => 100110100110 => 011001011001
100110101001 => 011001010110 => 111010100010 => 000101011101
100111000101 => 011000111010 => 110010101100 => 001101010011
100111001001 => 011000110110 => 110010101010 => 001101010101
100111010001 => 011000101110 => 110010100110 => 001101011001
101001010101 => 010110101010 => 111110010000 => 000001101111
101001101001 => 010110010110 => 110110010010 => 001001101101
101010100101 => 010101011010 => 111110000100 => 000001111011
101010101001 => 010101010110 => 111110000010 => 000001111101
101010110001 => 010101001110 => 101110000110 => 010001111001
101011001001 => 010100110110 => 110110001010 => 001001110101
101011100001 => 010100011110 => 100110001110 => 011001110001
101100010101 => 010011101010 => 111010011000 => 000101100111
101101000101 => 010010111010 => 111010001100 => 000101110011
101101001001 => 010010110110 => 111010001010 => 000101110101
101101010001 => 010010101110 => 111010000110 => 000101111001
101110001001 => 010001110110 => 110010011010 => 001101100101
101110100001 => 010001011110 => 110010001110 => 001101110001
110001010101 => 001110101010 => 111100110000 => 000011001111
110001011001 => 001110100110 => 101100110010 => 010011001101
110001100101 => 001110011010 => 110100110100 => 001011001011
110001101001 => 001110010110 => 110100110010 => 001011001101
110001110001 => 001110001110 => 100100110110 => 011011001001
110010010101 => 001101101010 => 111100101000 => 000011010111
110010011001 => 001101100110 => 101100101010 => 010011010101
110010100101 => 001101011010 => 111100100100 => 000011011011
110010101001 => 001101010110 => 111100100010 => 000011011101
110010110001 => 001101001110 => 101100100110 => 010011011001
110011000101 => 001100111010 => 110100101100 => 001011010011
110011001001 => 001100110110 => 110100101010 => 001011010101
110011010001 => 001100101110 => 110100100110 => 001011011001
110011100001 => 001100011110 => 100100101110 => 011011010001
110100010101 => 001011101010 => 111100011000 => 000011100111
110100011001 => 001011100110 => 101100011010 => 010011100101
110100100101 => 001011011010 => 111100010100 => 000011101011
110100101001 => 001011010110 => 111100010010 => 000011101101
110100110001 => 001011001110 => 101100010110 => 010011101001
110101000101 => 001010111010 => 111100001100 => 000011110011
110101001001 => 001010110110 => 111100001010 => 000011110101
110101010001 => 001010101110 => 111100000110 => 000011111001
110101100001 => 001010011110 => 101100001110 => 010011110001
110110000101 => 001001111010 => 110100011100 => 001011100011
110110001001 => 001001110110 => 110100011010 => 001011100101
110110010001 => 001001101110 => 110100010110 => 001011101001
110110100001 => 001001011110 => 110100001110 => 001011110001
110111000001 => 001000111110 => 100100011110 => 011011100001
111000010101 => 000111101010 => 111000111000 => 000111000111
111000101001 => 000111010110 => 111000110010 => 000111001101
111001000101 => 000110111010 => 111000101100 => 000111010011
111001001001 => 000110110110 => 111000101010 => 000111010101
111001010001 => 000110101110 => 111000100110 => 000111011001
111010001001 => 000101110110 => 111000011010 => 000111100101
111010100001 => 000101011110 => 111000001110 => 000111110001
111100000101 => 000011111010 => 110000111100 => 001111000011
111100001001 => 000011110110 => 110000111010 => 001111000101
111100010001 => 000011101110 => 110000110110 => 001111001001
111100100001 => 000011011110 => 110000101110 => 001111010001
111101000001 => 000010111110 => 110000011110 => 001111100001
0111000011 => 1000111100 => 0100101110 => 1011010001
0011110001 => 1100001110 => 1000110110 => 0111001001
110101000011 => 001010111100 => 011100001110 => 100011110001
110100000111 => 001011111000 => 001100011110 => 110011100001
110011000011 => 001100111100 => 010100101110 => 101011010001
110110000011 => 001001111100 => 010100011110 => 101011100001
110000111100 => 001111000011 => 000100111011 => 111011000100
110000001111 => 001111110000 => 000100111110 => 111011000001
011100000111 => 100011111000 => 001001011110 => 110110100001
111001000011 => 000110111100 => 011000101110 => 100111010001
111010000011 => 000101111100 => 011000011110 => 100111100001
111000011100 => 000111100011 => 001000111011 => 110111000100
001111000011 => 110000111100 => 010001101110 => 101110010001
011110000011 => 100001111100 => 010001011110 => 101110100001
111100000011 => 000011111100 => 010000111110 => 101111000001
000111110001 => 111000001110 => 100001110110 => 011110001001
001111100001 => 110000011110 => 100001101110 => 011110010001
01111111011 => 10000000100 => 01000000100 => 10111111011
01111110101 => 10000001010 => 11000001000 => 00111110111
01111101001 => 10000010110 => 11000010010 => 00111101101
0011101101 => 1100010010 => 1010011000 => 0101100111
01111010001 => 10000101110 => 11000100110 => 00111011001
0011011001 => 1100100110 => 1010110010 => 0101001101
01110100001 => 10001011110 => 11001001110 => 00110110001
0010110001 => 1101001110 => 1011100110 => 0100011001
01101000001 => 10010111110 => 11010011110 => 00101100001
01010000001 => 10101111110 => 11100111110 => 00011000001
0001000001 => 1110111110 => 1111011110 => 0000100001
00100000001 => 11011111110 => 11101111110 => 00010000001
0111010101 => 1000101010 => 1110010000 => 0001101111
0111010011 => 1000101100 => 0110010010 => 1001101101
0111001101 => 1000110010 => 1010010100 => 0101101011
0111000111 => 1000111000 => 0010010110 => 1101101001
0011110101 => 1100001010 => 1100011000 => 0011100111
0011110011 => 1100001100 => 0100011010 => 1011100101
0111100011 => 1000011100 => 0100010110 => 1011101001
0011111001 => 1100000110 => 1000011010 => 0111100101
0000111111 => 1111000000 => 0000011110 => 1111100001
110101010101 => 001010101010 => 111110000000 => 000001111111
110101010011 => 001010101100 => 011110000010 => 100001111101
110101001101 => 001010110010 => 101110000100 => 010001111011
110101011001 => 001010100110 => 101110000010 => 010001111101
110101000111 => 001010111000 => 001110000110 => 110001111001
110100110101 => 001011001010 => 110110001000 => 001001110111
110100110011 => 001011001100 => 010110001010 => 101001110101
110101100101 => 001010011010 => 110110000100 => 001001111011
110101101001 => 001010010110 => 110110000010 => 001001111101
110101100011 => 001010011100 => 010110000110 => 101001111001
110100011101 => 001011100010 => 100110001100 => 011001110011
110100111001 => 001011000110 => 100110001010 => 011001110101
110101110001 => 001010001110 => 100110000110 => 011001111001
110100001111 => 001011110000 => 000110001110 => 111001110001
110011010101 => 001100101010 => 111010010000 => 000101101111
110011010011 => 001100101100 => 011010010010 => 100101101101
110011001101 => 001100110010 => 101010010100 => 010101101011
110011011001 => 001100100110 => 101010010010 => 010101101101
110011000111 => 001100111000 => 001010010110 => 110101101001
110110010101 => 001001101010 => 111010001000 => 000101110111
110110010011 => 001001101100 => 011010001010 => 100101110101
110110100101 => 001001011010 => 111010000100 => 000101111011
110110101001 => 001001010110 => 111010000010 => 000101111101
110110100011 => 001001011100 => 011010000110 => 100101111001
110110001101 => 001001110010 => 101010001100 => 010101110011
110110011001 => 001001100110 => 101010001010 => 010101110101
110110110001 => 001001001110 => 101010000110 => 010101111001
110001110101 => 001110001010 => 110010011000 => 001101100111
110001110011 => 001110001100 => 010010011010 => 101101100101
110011100101 => 001100011010 => 110010010100 => 001101101011
110011101001 => 001100010110 => 110010010010 => 001101101101
110011100011 => 001100011100 => 010010010110 => 101101101001
110111000101 => 001000111010 => 110010001100 => 001101110011
110111001001 => 001000110110 => 110010001010 => 001101110101
110111010001 => 001000101110 => 110010000110 => 001101111001
110111000011 => 001000111100 => 010010001110 => 101101110001
110000111101 => 001111000010 => 100010011100 => 011101100011
110011110001 => 001100001110 => 100010010110 => 011101101001
110111100001 => 001000011110 => 100010001110 => 011101110001
110000011111 => 001111100000 => 000010011110 => 111101100001
111001010101 => 000110101010 => 111100010000 => 000011101111
111001010011 => 000110101100 => 011100010010 => 100011101101
111001001101 => 000110110010 => 101100010100 => 010011101011
111001011001 => 000110100110 => 101100010010 => 010011101101
111010010101 => 000101101010 => 111100001000 => 000011110111
111010010011 => 000101101100 => 011100001010 => 100011110101
111010100101 => 000101011010 => 111100000100 => 000011111011
111010101001 => 000101010110 => 111100000010 => 000011111101
111010100011 => 000101011100 => 011100000110 => 100011111001
111010001101 => 000101110010 => 101100001100 => 010011110011
111010011001 => 000101100110 => 101100001010 => 010011110101
111010110001 => 000101001110 => 101100000110 => 010011111001
111000110101 => 000111001010 => 110100011000 => 001011100111
111000110011 => 000111001100 => 010100011010 => 101011100101
111001100101 => 000110011010 => 110100010100 => 001011101011
111001101001 => 000110010110 => 110100010010 => 001011101101
111001100011 => 000110011100 => 010100010110 => 101011101001
111011000101 => 000100111010 => 110100001100 => 001011110011
111011001001 => 000100110110 => 110100001010 => 001011110101
111011010001 => 000100101110 => 110100000110 => 001011111001
111011000011 => 000100111100 => 010100001110 => 101011110001
111000111001 => 000111000110 => 100100011010 => 011011100101
111001110001 => 000110001110 => 100100010110 => 011011101001
111011100001 => 000100011110 => 100100001110 => 011011110001
111100010101 => 000011101010 => 111000011000 => 000111100111
111100010011 => 000011101100 => 011000011010 => 100111100101
111100100101 => 000011011010 => 111000010100 => 000111101011
111100101001 => 000011010110 => 111000010010 => 000111101101
111100100011 => 000011011100 => 011000010110 => 100111101001
111101000101 => 000010111010 => 111000001100 => 000111110011
111101001001 => 000010110110 => 111000001010 => 000111110101
111101010001 => 000010101110 => 111000000110 => 000111111001
111101000011 => 000010111100 => 011000001110 => 100111110001
111100001101 => 000011110010 => 101000011100 => 010111100011
111100011001 => 000011100110 => 101000011010 => 010111100101
111100110001 => 000011001110 => 101000010110 => 010111101001
111101100001 => 000010011110 => 101000001110 => 010111110001
111110000101 => 000001111010 => 110000011100 => 001111100011
111110001001 => 000001110110 => 110000011010 => 001111100101
111110010001 => 000001101110 => 110000010110 => 001111101001
111110100001 => 000001011110 => 110000001110 => 001111110001
111110000011 => 000001111100 => 010000011110 => 101111100001
111111000001 => 000000111110 => 100000011110 => 011111100001
11111000010 => 00000111101 => 10000011101 => 01111100010
11111110010 => 00000001101 => 10000000101 => 01111111010
0001110100 => 1110001011 => 1001110011 => 0110001100
0001101100 => 1110010011 => 0101110011 => 1010001100
0100011100 => 1011100011 => 0011011011 => 1100100100
0010011100 => 1101100011 => 0011101011 => 1100010100
0001011100 => 1110100011 => 0011110011 => 1100001100
0000111100 => 1111000011 => 0001111011 => 1110000100
0001101010 => 1110010101 => 1101110001 => 0010001110
0010011010 => 1101100101 => 1011101001 => 0100010110
0101000110 => 1010111001 => 0111001101 => 1000110010
0010100110 => 1101011001 => 0111100101 => 1000011010
0100010110 => 1011101001 => 0111011001 => 1000100110
0010010110 => 1101101001 => 0111101001 => 1000010110
0001010110 => 1110101001 => 0111110001 => 1000001110
0000110110 => 1111001001 => 0101111001 => 1010000110
0010001110 => 1101110001 => 0011101101 => 1100010010
000111010100 => 111000101011 => 110011100011 => 001100011100
000110110100 => 111001001011 => 101011100011 => 010100011100
010001110100 => 101110001011 => 100110110011 => 011001001100
001001110100 => 110110001011 => 100111010011 => 011000101100
000101110100 => 111010001011 => 100111100011 => 011000011100
000011110100 => 111100001011 => 100011110011 => 011100001100
000110101100 => 111001010011 => 011011100011 => 100100011100
000101101100 => 111010010011 => 010111100011 => 101000011100
000011101100 => 111100010011 => 010011110011 => 101100001100
010100011100 => 101011100011 => 001110011011 => 110001100100
010010011100 => 101101100011 => 001110101011 => 110001010100
001010011100 => 110101100011 => 001111001011 => 110000110100
010001011100 => 101110100011 => 001110110011 => 110001001100
001001011100 => 110110100011 => 001111010011 => 110000101100
000101011100 => 111010100011 => 001111100011 => 110000011100
000011011100 => 111100100011 => 001011110011 => 110100001100
010000111100 => 101111000011 => 000110111011 => 111001000100
001000111100 => 110111000011 => 000111011011 => 111000100100
000100111100 => 111011000011 => 000111101011 => 111000010100
000010111100 => 111101000011 => 000111110011 => 111000001100
000001111100 => 111110000011 => 000011111011 => 111100000100
000111010010 => 111000101101 => 110011100101 => 001100011010
000110110010 => 111001001101 => 101011100101 => 010100011010
010001110010 => 101110001101 => 100110110101 => 011001001010
001001110010 => 110110001101 => 100111010101 => 011000101010
000101110010 => 111010001101 => 100111100101 => 011000011010
000011110010 => 111100001101 => 100011110101 => 011100001010
000111001010 => 111000110101 => 110011101001 => 001100010110
000110101010 => 111001010101 => 111011100001 => 000100011110
010001101010 => 101110010101 => 110110110001 => 001001001110
001001101010 => 110110010101 => 110111010001 => 001000101110
000101101010 => 111010010101 => 110111100001 => 001000011110
000011101010 => 111100010101 => 110011110001 => 001100001110
010100011010 => 101011100101 => 101110011001 => 010001100110
001100011010 => 110011100101 => 101011011001 => 010100100110
010010011010 => 101101100101 => 101110101001 => 010001010110
001010011010 => 110101100101 => 101111001001 => 010000110110
000110011010 => 111001100101 => 101011101001 => 010100010110
010001011010 => 101110100101 => 101110110001 => 010001001110
001001011010 => 110110100101 => 101111010001 => 010000101110
000101011010 => 111010100101 => 101111100001 => 010000011110
000011011010 => 111100100101 => 101011110001 => 010100001110
010000111010 => 101111000101 => 100110111001 => 011001000110
001000111010 => 110111000101 => 100111011001 => 011000100110
000100111010 => 111011000101 => 100111101001 => 011000010110
010101000110 => 101010111001 => 011110001101 => 100001110010
001101000110 => 110010111001 => 011011001101 => 100100110010
010100100110 => 101011011001 => 011110010101 => 100001101010
001100100110 => 110011011001 => 011011010101 => 100100101010
010010100110 => 101101011001 => 011110100101 => 100001011010
001010100110 => 110101011001 => 011111000101 => 100000111010
010100010110 => 101011101001 => 011110011001 => 100001100110
010010010110 => 101101101001 => 011110101001 => 100001010110
001010010110 => 110101101001 => 011111001001 => 100000110110
010001010110 => 101110101001 => 011110110001 => 100001001110
001001010110 => 110110101001 => 011111010001 => 100000101110
000101010110 => 111010101001 => 011111100001 => 100000011110
010100001110 => 101011110001 => 001110011101 => 110001100010
010010001110 => 101101110001 => 001110101101 => 110001010010
001010001110 => 110101110001 => 001111001101 => 110000110010
010001001110 => 101110110001 => 001110110101 => 110001001010
001001001110 => 110110110001 => 001111010101 => 110000101010
000101001110 => 111010110001 => 001111100101 => 110000011010
010000101110 => 101111010001 => 001110111001 => 110001000110
001000101110 => 110111010001 => 001111011001 => 110000100110
000100101110 => 111011010001 => 001111101001 => 110000010110
000010101110 => 111101010001 => 001111110001 => 110000001110
010000011110 => 101111100001 => 000110111101 => 111001000010
001000011110 => 110111100001 => 000111011101 => 111000100010
000100011110 => 111011100001 => 000111101101 => 111000010010
000010011110 => 111101100001 => 000111110101 => 111000001010
000001011110 => 111110100001 => 000111111001 => 111000000110
000000111110 => 111111000001 => 000011111101 => 111100000010
10111111101 => 01000000010 => 10000001000 => 01111110111
01011111101 => 10100000010 => 10000011000 => 01111100111
0110111001 => 1001000110 => 1001010010 => 0110101101
00010111101 => 11101000010 => 10001111000 => 01110000111
00001011101 => 11110100010 => 10011111000 => 01100000111
0001101001 => 1110010110 => 1101110010 => 0010001101
0000110001 => 1111001110 => 1011110110 => 0100001001
00000010101 => 11111101010 => 11111111000 => 00000000111
0000010001 => 1111101110 => 1111110110 => 0000001001
00000001001 => 11111110110 => 11111111010 => 00000000101
10000000001 => 01111111110 => 10111111110 => 01000000001
11000000001 => 00111111110 => 10011111110 => 01100000001
11100000001 => 00011111110 => 10001111110 => 01110000001
11110000001 => 00001111110 => 10000111110 => 01111000001
11111000001 => 00000111110 => 10000011110 => 01111100001
11111100001 => 00000011110 => 10000001110 => 01111110001
11111110001 => 00000001110 => 10000000110 => 01111111001
11111111001 => 00000000110 => 10000000010 => 01111111101
11111111111 => 00000000000 => 00000000000 => 11111111111
0110011011 => 1001100100 => 0101010100 => 1010101011
0100111011 => 1011000100 => 0100110100 => 1011001011
0110010011 => 1001101100 => 0110101010 => 1001010101
0110110011 => 1001001100 => 0101010010 => 1010101101
0101110011 => 1010001100 => 0100110010 => 1011001101
0110010111 => 1001101000 => 0011010100 => 1100101011
0100110111 => 1011001000 => 0010110100 => 1101001011
0110100111 => 1001011000 => 0011010010 => 1100101101
0101100111 => 1010011000 => 0010110010 => 1101001101
0101001111 => 1010110000 => 0001110010 => 1110001101
101110011001 => 010001100110 => 101001001010 => 010110110101
100100111001 => 011011000110 => 100110101010 => 011001010101
101100111001 => 010011000110 => 100101001010 => 011010110101
101000111001 => 010111000110 => 100110011010 => 011001100101
101110110001 => 010001001110 => 101001000110 => 010110111001
101101110001 => 010010001110 => 100101000110 => 011010111001
101011110001 => 010100001110 => 100011000110 => 011100111001
100110011011 => 011001100100 => 010101010100 => 101010101011
100100011011 => 011011100100 => 010110101100 => 101001010011
101100011011 => 010011100100 => 010101001100 => 101010110011
101000011011 => 010111100100 => 010110011100 => 101001100011
100100111011 => 011011000100 => 010011010100 => 101100101011
101000111011 => 010111000100 => 010011001100 => 101100110011
100101111011 => 011010000100 => 010001101000 => 101110010111
100110010011 => 011001101100 => 011010101010 => 100101010101
101110010011 => 010001101100 => 011001001010 => 100110110101
101100010011 => 010011101100 => 011010011010 => 100101100101
100110110011 => 011001001100 => 010101010010 => 101010101101
100100110011 => 011011001100 => 010110101010 => 101001010101
101100110011 => 010011001100 => 010101001010 => 101010110101
101000110011 => 010111001100 => 010110011010 => 101001100101
100101110011 => 011010001100 => 010011010010 => 101100101101
101001110011 => 010110001100 => 010011001010 => 101100110101
100110100011 => 011001011100 => 011010100110 => 100101011001
101110100011 => 010001011100 => 011001000110 => 100110111001
101100100011 => 010011011100 => 011010010110 => 100101101001
100101100011 => 011010011100 => 010110100110 => 101001011001
101101100011 => 010010011100 => 010101000110 => 101010111001
101001100011 => 010110011100 => 010110010110 => 101001101001
101011100011 => 010100011100 => 010011000110 => 101100111001
101101000011 => 010010111100 => 011010001110 => 100101110001
101011000011 => 010100111100 => 010110001110 => 101001110001
100110010111 => 011001101000 => 001101010100 => 110010101011
100100010111 => 011011101000 => 001110101100 => 110001010011
101100010111 => 010011101000 => 001101001100 => 110010110011
100100110111 => 011011001000 => 001011010100 => 110100101011
101000110111 => 010111001000 => 001011001100 => 110100110011
100110100111 => 011001011000 => 001101010010 => 110010101101
100100100111 => 011011011000 => 001110101010 => 110001010101
101100100111 => 010011011000 => 001101001010 => 110010110101
101000100111 => 010111011000 => 001110011010 => 110001100101
100101100111 => 011010011000 => 001011010010 => 110100101101
101001100111 => 010110011000 => 001011001010 => 110100110101
100101000111 => 011010111000 => 001110100110 => 110001011001
101101000111 => 010010111000 => 001101000110 => 110010111001
101011000111 => 010100111000 => 001011000110 => 110100111001
101010000111 => 010101111000 => 001110001110 => 110001110001
100100101111 => 011011010000 => 000111010100 => 111000101011
101000101111 => 010111010000 => 000111001100 => 111000110011
100101101111 => 011010010000 => 000101101000 => 111010010111
100101001111 => 011010110000 => 000111010010 => 111000101101
101101001111 => 010010110000 => 000110100010 => 111001011101
101001001111 => 010110110000 => 000111001010 => 111000110101
101010001111 => 010101110000 => 000111000110 => 111000111001
100110101010 => 011001010101 => 111010100001 => 000101011110
101001101010 => 010110010101 => 110110010001 => 001001101110
100101101010 => 011010010101 => 110110100001 => 001001011110
100011101010 => 011100010101 => 110010110001 => 001101001110
101010011010 => 010101100101 => 101110001001 => 010001110110
100110011010 => 011001100101 => 101010101001 => 010101010110
101001011010 => 010110100101 => 101110010001 => 010001101110
100101011010 => 011010100101 => 101110100001 => 010001011110
101000111010 => 010111000101 => 100110011001 => 011001100110
101010100110 => 010101011001 => 011110000101 => 100001111010
100110100110 => 011001011001 => 011010100101 => 100101011010
101001100110 => 010110011001 => 010110010101 => 101001101010
100101100110 => 011010011001 => 010110100101 => 101001011010
101010010110 => 010101101001 => 011110001001 => 100001110110
100110010110 => 011001101001 => 011010101001 => 100101010110
101001010110 => 010110101001 => 011110010001 => 100001101110
101010001110 => 010101110001 => 001110001101 => 110001110010
100011101001 => 011100010110 => 110010110010 => 001101001101
100010111001 => 011101000110 => 100110110010 => 011001001101
100011010101 => 011100101010 => 111010110000 => 000101001111
100100110101 => 011011001010 => 110110101000 => 001001010111
100001110101 => 011110001010 => 110010111000 => 001101000111
101010001101 => 010101110010 => 101110001100 => 010001110011
100101001101 => 011010110010 => 101110100100 => 010001011011
101000101101 => 010111010010 => 101110011000 => 010001100111
100100101101 => 011011010010 => 101110101000 => 010001010111
100010101101 => 011101010010 => 101110110000 => 010001001111
100100011101 => 011011100010 => 100110101100 => 011001010011
100001011101 => 011110100010 => 100110111000 => 011001000111
101010100011 => 010101011100 => 011110000110 => 100001111001
100011100011 => 011100011100 => 010010110110 => 101101001001
101010010011 => 010101101100 => 011110001010 => 100001110101
101001010011 => 010110101100 => 011110010010 => 100001101101
100101010011 => 011010101100 => 011110100010 => 100001011101
100011010011 => 011100101100 => 011010110010 => 100101001101
100010110011 => 011101001100 => 010110110010 => 101001001101
100001110011 => 011110001100 => 010010111010 => 101101000101
101010001011 => 010101110100 => 011110001100 => 100001110011
100110001011 => 011001110100 => 011010101100 => 100101010011
101001001011 => 010110110100 => 011110010100 => 100001101011
100101001011 => 011010110100 => 011110100100 => 100001011011
100011001011 => 011100110100 => 011010110100 => 100101001011
101000101011 => 010111010100 => 011110011000 => 100001100111
100100101011 => 011011010100 => 011110101000 => 100001010111
100010101011 => 011101010100 => 011110110000 => 100001001111
100001101011 => 011110010100 => 011010111000 => 100101000111
100010011011 => 011101100100 => 010110110100 => 101001001011
100001011011 => 011110100100 => 010110111000 => 101001000111
100000111011 => 011111000100 => 010010111100 => 101101000011
100010100111 => 011101011000 => 001110110010 => 110001001101
100001010111 => 011110101000 => 001110111000 => 110001000111
101000001111 => 010111110000 => 000110011110 => 111001100001
100100001111 => 011011110000 => 000110101110 => 111001010001
100010001111 => 011101110000 => 000110110110 => 111001001001
100001001111 => 011110110000 => 000110111010 => 111001000101
100000101111 => 011111010000 => 000110111100 => 111001000011
01011110111 => 10100001000 => 00100011000 => 11011100111
01101010101 => 10010101010 => 11110100000 => 00001011111
01110111101 => 10001000010 => 10001001000 => 01110110111
01111011101 => 10000100010 => 10010001000 => 01101110111
01111010111 => 10000101000 => 00110001000 => 11001110111
01111101111 => 10000010000 => 00010000100 => 11101111011
10110101010 => 01001010101 => 11101000001 => 00010111110
10111011101 => 01000100010 => 10010010000 => 01101101111
10111010101 => 01000101010 => 11100100000 => 00011011111
10111110111 => 01000001000 => 00100001000 => 11011110111
10101101010 => 01010010101 => 11011000001 => 00100111110
10101110101 => 01010001010 => 11001100000 => 00110011111
10101011101 => 01010100010 => 10011100000 => 01100011111
10101110111 => 01010001000 => 00100110000 => 11011001111
10111010111 => 01000101000 => 00110010000 => 11001101111
10111101111 => 01000010000 => 00010001000 => 11101110111
11011101101 => 00100010010 => 10100100000 => 01011011111
11011011101 => 00100100010 => 10010100000 => 01101011111
11011011011 => 00100100100 => 01010100000 => 10101011111
11011101011 => 00100010100 => 01100100000 => 10011011111
11011110111 => 00100001000 => 00100010000 => 11011101111
11010111011 => 00101000100 => 01001100000 => 10110011111
11010110111 => 00101001000 => 00101100000 => 11010011111
11011010111 => 00100101000 => 00110100000 => 11001011111
11011101111 => 00100010000 => 00010010000 => 11101101111
11101111010 => 00010000101 => 10001000001 => 01110111110
11101111101 => 00010000010 => 10000100000 => 01111011111
11101110101 => 00010001010 => 11001000000 => 00110111111
11101111011 => 00010000100 => 01000100000 => 10111011111
11101101101 => 00010010010 => 10101000000 => 01010111111
11101101011 => 00010010100 => 01101000000 => 10010111111
11101110111 => 00010001000 => 00100100000 => 11011011111
11101011101 => 00010100010 => 10011000000 => 01100111111
11101011011 => 00010100100 => 01011000000 => 10100111111
11101010111 => 00010101000 => 00111000000 => 11000111111
11101101111 => 00010010000 => 00010100000 => 11101011111
11110111101 => 00001000010 => 10001000000 => 01110111111
11110111011 => 00001000100 => 01001000000 => 10110111111
11110110111 => 00001001000 => 00101000000 => 11010111111
11110101111 => 00001010000 => 00011000000 => 11100111111
11111011111 => 00000100000 => 00001000000 => 11110111111
01000000111111 => 10111111000000 => 00000110111110 => 11111001000001
01000001011111 => 10111110100000 => 00001110111100 => 11110001000011
01000001101111 => 10111110010000 => 00010110111100 => 11101001000011
01000001110111 => 10111110001000 => 00100110111100 => 11011001000011
01000100011111 => 10111011100000 => 00001110110110 => 11110001001001
01000001111011 => 10111110000100 => 01000110111100 => 10111001000011
01000100101111 => 10111011010000 => 00011110110100 => 11100001001011
00110000011111 => 11001111100000 => 00001011011110 => 11110100100001
01001000011111 => 10110111100000 => 00001110101110 => 11110001010001
0100001000111111 => 1011110111000000 => 0000011101110110 => 1111100010001001
0000001100 => 1111110011 => 0111111011 => 1000000100
0011001111 => 1100110000 => 0001011010 => 1110100101
0000110100 => 1111001011 => 1011110011 => 0100001100
0000000011 => 1111111100 => 0111111110 => 1000000001
0000011011 => 1111100100 => 0101111100 => 1010000011
0001101111 => 1110010000 => 0001011100 => 1110100011
0000110101 => 1111001010 => 1101111000 => 0010000111
01101111111 => 10010000000 => 00000010100 => 11111101011
10001010101 => 01110101010 => 11110110000 => 00001001111
110010101010101010 => 001101010101010101 => 111111100100000001 => 000000011011111110
110100101010101010 => 001011010101010101 => 111111100010000001 => 000000011101111110
110101001010101010 => 001010110101010101 => 111111100001000001 => 000000011110111110
110101010010101010 => 001010101101010101 => 111111100000100001 => 000000011111011110
110101010100101010 => 001010101011010101 => 111111100000010001 => 000000011111101110
110101010101001010 => 001010101010110101 => 111111100000001001 => 000000011111110110
110101010101010010 => 001010101010101101 => 111111100000000101 => 000000011111111010
11001010101010101010 => 00110101010101010101 => 11111111001000000001 => 00000000110111111110
111000101010101010 => 000111010101010101 => 111111000110000001 => 000000111001111110
11010010101010101010 => 00101101010101010101 => 11111111000100000001 => 00000000111011111110
110110001010101010 => 001001110101010101 => 111110100011000001 => 000001011100111110
11010100101010101010 => 00101011010101010101 => 11111111000010000001 => 00000000111101111110
110101100010101010 => 001010011101010101 => 111101100001100001 => 000010011110011110
11010101001010101010 => 00101010110101010101 => 11111111000001000001 => 00000000111110111110
110101011000101010 => 001010100111010101 => 111011100000110001 => 000100011111001110
11010101010010101010 => 00101010101101010101 => 11111111000000100001 => 00000000111111011110
110101010110001010 => 001010101001110101 => 110111100000011001 => 001000011111100110
11010101010100101010 => 00101010101011010101 => 11111111000000010001 => 00000000111111101110
110101010101100010 => 001010101010011101 => 101111100000001101 => 010000011111110010
11010101010101001010 => 00101010101010110101 => 11111111000000001001 => 00000000111111110110
110101010101011000 => 001010101010100111 => 011111100000000111 => 100000011111111000
11010101010101010010 => 00101010101010101101 => 11111111000000000101 => 00000000111111111010
0010000010 => 1101111101 => 1110111101 => 0001000010
0111001011 => 1000110100 => 0110010100 => 1001101011
11000000000 => 00111111111 => 00111111111 => 11000000000
0110001011 => 1001110100 => 0110101100 => 1001010011
0110000111 => 1001111000 => 0010101110 => 1101010001
110000111001 => 001111000110 => 100100111010 => 011011000101
110000110101 => 001111001010 => 110100111000 => 001011000111
110010001101 => 001101110010 => 101100101100 => 010011010011
110100001101 => 001011110010 => 101100011100 => 010011100011
110000101101 => 001111010010 => 101100111000 => 010011000111
110000011101 => 001111100010 => 100100111100 => 011011000011
011100100011 => 100011011100 => 011001010110 => 100110101001
011010010011 => 100101101100 => 011101001010 => 100010110101
011100010011 => 100011101100 => 011001011010 => 100110100101
011000110011 => 100111001100 => 010101011010 => 101010100101
010110001011 => 101001110100 => 011011001100 => 100100110011
011010001011 => 100101110100 => 011101001100 => 100010110011
011100001011 => 100011110100 => 011001011100 => 100110100011
011000101011 => 100111010100 => 011101011000 => 100010100111
011000011011 => 100111100100 => 010101011100 => 101010100011
101110000011 => 010001111100 => 010010011110 => 101101100001
110100100011 => 001011011100 => 011100010110 => 100011101001
111000100011 => 000111011100 => 011000110110 => 100111001001
110010010011 => 001101101100 => 011100101010 => 100011010101
110100010011 => 001011101100 => 011100011010 => 100011100101
111000010011 => 000111101100 => 011000111010 => 100111000101
110000110011 => 001111001100 => 010100111010 => 101011000101
101100001011 => 010011110100 => 011010011100 => 100101100011
110010001011 => 001101110100 => 011100101100 => 100011010011
110100001011 => 001011110100 => 011100011100 => 100011100011
111000001011 => 000111110100 => 011000111100 => 100111000011
110000101011 => 001111010100 => 011100111000 => 100011000111
110000011011 => 001111100100 => 010100111100 => 101011000011
001110000111 => 110001111000 => 001001101110 => 110110010001
010110000111 => 101001111000 => 001011001110 => 110100110001
011010000111 => 100101111000 => 001101001110 => 110010110001
011000100111 => 100111011000 => 001101011010 => 110010100101
011000010111 => 100111101000 => 001101011100 => 110010100011
110010000111 => 001101111000 => 001100101110 => 110011010001
110000100111 => 001111011000 => 001100111010 => 110011000101
110000010111 => 001111101000 => 001100111100 => 110011000011
011000001111 => 100111110000 => 000101011110 => 111010100001
00101000101111 => 11010111010000 => 00011111001100 => 11100000110011
0011011010 => 1100100101 => 1010110001 => 0101001110
0011010110 => 1100101001 => 0110110001 => 1001001110
0100110110 => 1011001001 => 0101101001 => 1010010110
0110001110 => 1001110001 => 0010101101 => 1101010010
0101001110 => 1010110001 => 0011100101 => 1100011010
0011001110 => 1100110001 => 0010110101 => 1101001010
0100101110 => 1011010001 => 0011101001 => 1100010110
0100011110 => 1011100001 => 0001101101 => 1110010010
0010011110 => 1101100001 => 0001110101 => 1110001010
001110101010 => 110001010101 => 111001100001 => 000110011110
001110011010 => 110001100101 => 101001101001 => 010110010110
001101011010 => 110010100101 => 101101100001 => 010010011110
011000111010 => 100111000101 => 100101011001 => 011010100110
001100111010 => 110011000101 => 100101101001 => 011010010110
010010111010 => 101101000101 => 100111010001 => 011000101110
001010111010 => 110101000101 => 100111100001 => 011000011110
000110111010 => 111001000101 => 100101110001 => 011010001110
001110100110 => 110001011001 => 011001100101 => 100110011010
001110010110 => 110001101001 => 011001101001 => 100110010110
001101010110 => 110010101001 => 011101100001 => 100010011110
010011010110 => 101100101001 => 011011010001 => 100100101110
011000110110 => 100111001001 => 010101011001 => 101010100110
010100110110 => 101011001001 => 010111001001 => 101000110110
001100110110 => 110011001001 => 010101101001 => 101010010110
010010110110 => 101101001001 => 010111010001 => 101000101110
001010110110 => 110101001001 => 010111100001 => 101000011110
000110110110 => 111001001001 => 010101110001 => 101010001110
010001110110 => 101110001001 => 010011011001 => 101100100110
011010001110 => 100101110001 => 001101001101 => 110010110010
001110001110 => 110001110001 => 001001101101 => 110110010010
010101001110 => 101010110001 => 001111000101 => 110000111010
001101001110 => 110010110001 => 001101100101 => 110010011010
001011001110 => 110100110001 => 001011100101 => 110100011010
011000101110 => 100111010001 => 001101011001 => 110010100110
001100101110 => 110011010001 => 001101101001 => 110010010110
010010101110 => 101101010001 => 001111010001 => 110000101110
001010101110 => 110101010001 => 001111100001 => 110000011110
000110101110 => 111001010001 => 001101110001 => 110010001110
001001101110 => 110110010001 => 001011101001 => 110100010110
010100011110 => 101011100001 => 000111001101 => 111000110010
001100011110 => 110011100001 => 000101101101 => 111010010010
001010011110 => 110101100001 => 000111100101 => 111000011010
010001011110 => 101110100001 => 000111011001 => 111000100110
001001011110 => 110110100001 => 000111101001 => 111000010110
000101011110 => 111010100001 => 000111110001 => 111000001110
001000111110 => 110111000001 => 000011101101 => 111100010010
000010111110 => 111101000001 => 000011111001 => 111100000110
00101000011111 => 11010111100000 => 00001111001110 => 11110000110001
00100100011111 => 11011011100000 => 00001111010110 => 11110000101001
00100001101111 => 11011110010000 => 00010111011100 => 11101000100011
00100001011111 => 11011110100000 => 00001111011100 => 11110000100011
00100000111111 => 11011111000000 => 00000111011110 => 11111000100001
00011000011111 => 11100111100000 => 00001011101110 => 11110100010001
00010100011111 => 11101011100000 => 00001111100110 => 11110000011001
00010001011111 => 11101110100000 => 00001111101100 => 11110000010011
00010000111111 => 11101111000000 => 00000111101110 => 11111000010001
00001001011111 => 11110110100000 => 00001111110100 => 11110000001011
00001000111111 => 11110111000000 => 00000111110110 => 11111000001001
00000100111111 => 11111011000000 => 00000111111010 => 11111000000101
00000001111111 => 11111110000000 => 00000011111110 => 11111100000001
0101000000 => 1010111111 => 1100111111 => 0011000000
0001000100 => 1110111011 => 1111011011 => 0000100100
0001010101 => 1110101010 => 1111110000 => 0000001111
0110110101 => 1001001010 => 1101010000 => 0010101111
0110001001 => 1001110110 => 1101011010 => 0010100101
0101011011 => 1010100100 => 0101110000 => 1010001111
0001001011 => 1110110100 => 0111110100 => 1000001011
0110101011 => 1001010100 => 0111010000 => 1000101111
0111101111 => 1000010000 => 0001000100 => 1110111011
011010010000 => 100101101111 => 110100101111 => 001011010000
010010110000 => 101101001111 => 011101001111 => 100010110000
011011011011 => 100100100100 => 010101010000 => 101010101111
011101101011 => 100010010100 => 011010010000 => 100101101111
010011101111 => 101100010000 => 000100110100 => 111011001011
011001101111 => 100110010000 => 000101010100 => 111010101011
011100101111 => 100011010000 => 000110010100 => 111001101011
0111000000 => 1000111111 => 0010111111 => 1101000000
0111111100 => 1000000011 => 0000001011 => 1111110100
0010000000 => 1101111111 => 1101111111 => 0010000000
01100000000 => 10011111111 => 01011111111 => 10100000000
01110000000 => 10001111111 => 00101111111 => 11010000000
01111000000 => 10000111111 => 00010111111 => 11101000000
01111100000 => 10000011111 => 00001011111 => 11110100000
01111110000 => 10000001111 => 00000101111 => 11111010000
0111110100 => 1000001011 => 1000010011 => 0111101100
01111111000 => 10000000111 => 00000010111 => 11111101000
0111111010 => 1000000101 => 1000001001 => 0111110110
01111111100 => 10000000011 => 00000001011 => 11111110100
101101010101 => 010010101010 => 111101000000 => 000010111111
101011010101 => 010100101010 => 111011000000 => 000100111111
100111010101 => 011000101010 => 111001010000 => 000110101111
101100110101 => 010011001010 => 110101001000 => 001010110111
110010110101 => 001101001010 => 110110010000 => 001001101111
101010110101 => 010101001010 => 110111000000 => 001000111111
100110110101 => 011001001010 => 110101010000 => 001010101111
101001110101 => 010110001010 => 110011001000 => 001100110111
100101110101 => 011010001010 => 110011010000 => 001100101111
100011110101 => 011100001010 => 110001011000 => 001110100111
101101001101 => 010010110010 => 101101000100 => 010010111011
101011001101 => 010100110010 => 101011000100 => 010100111011
100111001101 => 011000110010 => 101001010100 => 010110101011
110100101101 => 001011010010 => 101110001000 => 010001110111
101100101101 => 010011010010 => 101101001000 => 010010110111
110010101101 => 001101010010 => 101110010000 => 010001101111
101010101101 => 010101010010 => 101111000000 => 010000111111
100110101101 => 011001010010 => 101101010000 => 010010101111
110001101101 => 001110010010 => 101010011000 => 010101100111
101001101101 => 010110010010 => 101011001000 => 010100110111
100101101101 => 011010010010 => 101011010000 => 010100101111
100011101101 => 011100010010 => 101001011000 => 010110100111
101100011101 => 010011100010 => 100101001100 => 011010110011
110010011101 => 001101100010 => 100110010100 => 011001101011
101010011101 => 010101100010 => 100111000100 => 011000111011
100110011101 => 011001100010 => 100101010100 => 011010101011
110001011101 => 001110100010 => 100110011000 => 011001100111
101001011101 => 010110100010 => 100111001000 => 011000110111
100101011101 => 011010100010 => 100111010000 => 011000101111
100011011101 => 011100100010 => 100101011000 => 011010100111
101000111101 => 010111000010 => 100011001100 => 011100110011
100100111101 => 011011000010 => 100011010100 => 011100101011
100010111101 => 011101000010 => 100011011000 => 011100100111
100001111101 => 011110000010 => 100001011100 => 011110100011
101101010011 => 010010101100 => 011101000010 => 100010111101
101011010011 => 010100101100 => 011011000010 => 100100111101
100111010011 => 011000101100 => 011001010010 => 100110101101
110010110011 => 001101001100 => 010110010010 => 101001101101
101010110011 => 010101001100 => 010111000010 => 101000111101
100011110011 => 011100001100 => 010001011010 => 101110100101
110101001011 => 001010110100 => 011110000100 => 100001111011
101101001011 => 010010110100 => 011101000100 => 100010111011
110011001011 => 001100110100 => 011010010100 => 100101101011
101011001011 => 010100110100 => 011011000100 => 100100111011
100111001011 => 011000110100 => 011001010100 => 100110101011
110100101011 => 001011010100 => 011110001000 => 100001110111
101100101011 => 010011010100 => 011101001000 => 100010110111
110010101011 => 001101010100 => 011110010000 => 100001101111
101010101011 => 010101010100 => 011111000000 => 100000111111
100110101011 => 011001010100 => 011101010000 => 100010101111
110001101011 => 001110010100 => 011010011000 => 100101100111
101001101011 => 010110010100 => 011011001000 => 100100110111
100101101011 => 011010010100 => 011011010000 => 100100101111
100011101011 => 011100010100 => 011001011000 => 100110100111
110100011011 => 001011100100 => 010110001100 => 101001110011
110010011011 => 001101100100 => 010110010100 => 101001101011
101010011011 => 010101100100 => 010111000100 => 101000111011
110001011011 => 001110100100 => 010110011000 => 101001100111
101001011011 => 010110100100 => 010111001000 => 101000110111
100101011011 => 011010100100 => 010111010000 => 101000101111
100011011011 => 011100100100 => 010101011000 => 101010100111
110000111011 => 001111000100 => 010010011100 => 101101100011
100010111011 => 011101000100 => 010011011000 => 101100100111
100001111011 => 011110000100 => 010001011100 => 101110100011
100111000111 => 011000111000 => 001001010110 => 110110101001
110100100111 => 001011011000 => 001110001010 => 110001110101
110010100111 => 001101011000 => 001110010010 => 110001101101
101010100111 => 010101011000 => 001111000010 => 110000111101
110001100111 => 001110011000 => 001010011010 => 110101100101
100011100111 => 011100011000 => 001001011010 => 110110100101
110100010111 => 001011101000 => 001110001100 => 110001110011
110010010111 => 001101101000 => 001110010100 => 110001101011
101010010111 => 010101101000 => 001111000100 => 110000111011
110001010111 => 001110101000 => 001110011000 => 110001100111
101001010111 => 010110101000 => 001111001000 => 110000110111
100101010111 => 011010101000 => 001111010000 => 110000101111
100011010111 => 011100101000 => 001101011000 => 110010100111
110000110111 => 001111001000 => 001010011100 => 110101100011
100010110111 => 011101001000 => 001011011000 => 110100100111
100001110111 => 011110001000 => 001001011100 => 110110100011
101100001111 => 010011110000 => 000101001110 => 111010110001
110010001111 => 001101110000 => 000110010110 => 111001101001
100110001111 => 011001110000 => 000101010110 => 111010101001
110001001111 => 001110110000 => 000110011010 => 111001100101
100011001111 => 011100110000 => 000101011010 => 111010100101
110000101111 => 001111010000 => 000110011100 => 111001100011
100010101111 => 011101010000 => 000111011000 => 111000100111
100001101111 => 011110010000 => 000101011100 => 111010100011
101000011111 => 010111100000 => 000011001110 => 111100110001
100100011111 => 011011100000 => 000011010110 => 111100101001
100010011111 => 011101100000 => 000011011010 => 111100100101
100001011111 => 011110100000 => 000011011100 => 111100100011
100000111111 => 011111000000 => 000001011110 => 111110100001
0000001111 => 1111110000 => 0001111110 => 1110000001
0011111111 => 1100000000 => 0000000110 => 1111111001
00000000111 => 11111111000 => 00111111110 => 11000000001
0000010111 => 1111101000 => 0011111100 => 1100000011
00000011111 => 11111100000 => 00001111110 => 11110000001
00001111111 => 11110000000 => 00000011110 => 11111100001
00111111111 => 11000000000 => 00000000110 => 11111111001
10110000000 => 01001111111 => 01001111111 => 10110000000
10111000000 => 01000111111 => 00100111111 => 11011000000
10111100000 => 01000011111 => 00010011111 => 11101100000
10111110000 => 01000001111 => 00001001111 => 11110110000
10111111111 => 01000000000 => 00000000100 => 11111111011
0011011110 => 1100100001 => 0001011001 => 1110100110
0011111100 => 1100000011 => 0000011011 => 1111100100
00111111100 => 11000000011 => 00000011011 => 11111100100
0011011100 => 1100100011 => 0010110011 => 1101001100
0010111001 => 1101000110 => 1001110010 => 0110001101
0001111001 => 1110000110 => 1000111010 => 0111000101
011000111100 => 100111000011 => 000101011011 => 111010100100
010100111100 => 101011000011 => 000111001011 => 111000110100
001100111001 => 110011000110 => 100101101010 => 011010010101
001100111100 => 110011000011 => 000101101011 => 111010010100
010010111100 => 101101000011 => 000111010011 => 111000101100
001010111001 => 110101000110 => 100111100010 => 011000011101
001010111100 => 110101000011 => 000111100011 => 111000011100
000110111001 => 111001000110 => 100101110010 => 011010001101
000110111100 => 111001000011 => 000101110011 => 111010001100
001110110001 => 110001001110 => 101001100110 => 010110011001
001110110100 => 110001001011 => 101001100011 => 010110011100
001110111000 => 110001000111 => 001001100111 => 110110011000
001101101001 => 110010010110 => 110101100010 => 001010011101
001001111001 => 110110000110 => 100011101010 => 011100010101
000101111001 => 111010000110 => 100011110010 => 011100001101
001101110001 => 110010001110 => 100101100110 => 011010011001
001011100101 => 110100011010 => 110011100100 => 001100011011
001011101001 => 110100010110 => 110011100010 => 001100011101
000011111001 => 111100000110 => 100001111010 => 011110000101
001011110001 => 110100001110 => 100011100110 => 011100011001
000111100011 => 111000011100 => 010001110110 => 101110001001
000111100101 => 111000011010 => 110001110100 => 001110001011
000111101001 => 111000010110 => 110001110010 => 001110001101
01010001010111 => 10101110101000 => 00111110011000 => 11000001100111
01010001001111 => 10101110110000 => 00011110011010 => 11100001100101
01010000101111 => 10101111010000 => 00011110011100 => 11100001100011
10001111101 => 01110000010 => 10000101100 => 01111010011
111000101011 => 000111010100 => 011100011000 => 100011100111
111001001011 => 000110110100 => 011100010100 => 100011101011
101110001011 => 010001110100 => 011001001100 => 100110110011
110110001011 => 001001110100 => 011010001100 => 100101110011
111010001011 => 000101110100 => 011100001100 => 100011110011
111100001011 => 000011110100 => 011000011100 => 100111100011
101111000011 => 010000111100 => 010001001110 => 101110110001
111000101101 => 000111010010 => 101100011000 => 010011100111
101110001101 => 010001110010 => 101001001100 => 010110110011
101110010101 => 010001101010 => 111001001000 => 000110110111
101011100101 => 010100011010 => 110011000100 => 001100111011
101101100101 => 010010011010 => 110101000100 => 001010111011
101110100101 => 010001011010 => 111001000100 => 000110111011
101111000101 => 010000111010 => 110001001100 => 001110110011
101010111001 => 010101000110 => 100111000010 => 011000111101
110010111001 => 001101000110 => 100110010010 => 011001101101
101011011001 => 010100100110 => 101011000010 => 010100111101
101101011001 => 010010100110 => 101101000010 => 010010111101
101011101001 => 010100010110 => 110011000010 => 001100111101
101101101001 => 010010010110 => 110101000010 => 001010111101
101110101001 => 010001010110 => 111001000010 => 000110111101
101111001001 => 010000110110 => 110001001010 => 001110110101
101111010001 => 010000101110 => 110001000110 => 001110111001
101111100001 => 010000011110 => 100001001110 => 011110110001
111000001110 => 000111110001 => 001000111101 => 110111000010
001011011001 => 110100100110 => 101011100010 => 010100011101
001110001101 => 110001110010 => 101001101100 => 010110010011
001110011001 => 110001100110 => 101001101010 => 010110010101
001110011100 => 110001100011 => 001001101011 => 110110010100
001110100101 => 110001011010 => 111001100100 => 000110011011
001111001001 => 110000110110 => 110001101010 => 001110010101
11101000001 => 00010111110 => 11000011110 => 00111100001
11100100000 => 00011011111 => 10001011111 => 01110100000
10111000001 => 01000111110 => 10010011110 => 01101100001
11111000000 => 00000111111 => 00000111111 => 11111000000
11001000001 => 00110111110 => 11001011110 => 00110100001
00111000001 => 11000111110 => 10011011110 => 01100100001
11001000000 => 00110111111 => 10010111111 => 01101000000
01101000000 => 10010111111 => 10100111111 => 01011000000
00111000000 => 11000111111 => 00110111111 => 11001000000
100110111000 => 011001000111 => 001010100111 => 110101011000
111010000110 => 000101111001 => 011000011101 => 100111100010
101100100110 => 010011011001 => 011010010101 => 100101101010
111000100110 => 000111011001 => 011000110101 => 100111001010
110100010110 => 001011101001 => 011100011001 => 100011100110
110010001110 => 001101110001 => 001100101101 => 110011010010
100110011100 => 011001100011 => 001010101011 => 110101010100
100110101100 => 011001010011 => 011010100011 => 100101011100
100110110100 => 011001001011 => 101010100011 => 010101011100
0000101011 => 1111010100 => 0111111000 => 1000000111
0001000111 => 1110111000 => 0011110110 => 1100001001
0000100111 => 1111011000 => 0011111010 => 1100000101
0001001010 => 1110110101 => 1111101001 => 0000010110
0000100100 => 1111011011 => 1111101011 => 0000010100
0000100010 => 1111011101 => 1111101101 => 0000010010
0011000000 => 1100111111 => 0110111111 => 1001000000
0101010111 => 1010101000 => 0011110000 => 1100001111
111000010110 => 000111101001 => 011000111001 => 100111000110
100100111100 => 011011000011 => 000110101011 => 111001010100
110000110110 => 001111001001 => 010100111001 => 101011000110
110100011010 => 001011100101 => 101100011001 => 010011100110
111000011010 => 000111100101 => 101000111001 => 010111000110
101010011100 => 010101100011 => 001110001011 => 110001110100
101100011100 => 010011100011 => 001010011011 => 110101100100
110010011100 => 001101100011 => 001100101011 => 110011010100
110011001110 => 001100110001 => 001010010101 => 110101101010
111100001110 => 000011110001 => 001000011101 => 110111100010
111000011110 => 000111100001 => 000100011101 => 111011100010
110011111000 => 001100000111 => 000010010111 => 111101101000
100111111000 => 011000000111 => 000001010111 => 111110101000
111111100000 => 000000011111 => 000000011111 => 111111100000
11111100000 => 00000011111 => 00000011111 => 11111100000
00111110000 => 11000001111 => 00001101111 => 11110010000
100010101100 => 011101010011 => 011101100011 => 100010011100
100010110010 => 011101001101 => 101101100101 => 010010011010
100010111000 => 011101000111 => 001101100111 => 110010011000
100011001010 => 011100110101 => 110101101001 => 001010010110
100011100010 => 011100011101 => 100101101101 => 011010010010
100011110000 => 011100001111 => 000101101111 => 111010010000
000110111000 => 111001000111 => 001011100111 => 110100011000
110000101100 => 001111010011 => 011001110011 => 100110001100
110000110010 => 001111001101 => 101001110101 => 010110001010
110000100110 => 001111011001 => 011001110101 => 100110001010
111000001010 => 000111110101 => 110001111001 => 001110000110
110000011010 => 001111100101 => 101001111001 => 010110000110
111100000010 => 000011111101 => 100001111101 => 011110000010
111110000000 => 000001111111 => 000001111111 => 111110000000
10100011101 => 01011100010 => 10011001100 => 01100110011
10100001111 => 01011110000 => 00011001110 => 11100110001
10010001111 => 01101110000 => 00011010110 => 11100101001
00111110001 => 11000001110 => 10000110110 => 01111001001
10010110101 => 01101001010 => 11011010000 => 00100101111
10000011111 => 01111100000 => 00001011110 => 11110100001
10011010101 => 01100101010 => 11101010000 => 00010101111
10001001111 => 01110110000 => 00011011010 => 11100100101
0000101100 => 1111010011 => 0111110011 => 1000001100
00001111100 => 11110000011 => 00001111011 => 11110000100
11111111100 => 00000000011 => 00000000011 => 11111111100
11010000001 => 00101111110 => 11000111110 => 00111000001
00111100001 => 11000011110 => 10001101110 => 01110010001
0011010001 => 1100101110 => 1101100110 => 0010011001
01010000000 => 10101111111 => 11001111111 => 00110000000
01000000010 => 10111111101 => 11011111101 => 00100000010
110001001101 => 001110110010 => 101100110100 => 010011001011
0000101000 => 1111010111 => 1111100111 => 0000011000
0010001000 => 1101110111 => 1110110111 => 0001001000
000010001000 => 111101110111 => 111110110111 => 000001001000
000010000010 => 111101111101 => 111110111101 => 000001000010
000010010110 => 111101101001 => 011111101001 => 100000010110
000011011000 => 111100100111 => 010111100111 => 101000011000
000011010010 => 111100101101 => 110111100101 => 001000011010
001010100010 => 110101011101 => 111110001101 => 000001110010
001000001000 => 110111110111 => 111011110111 => 000100001000
001001010010 => 110110101101 => 111110100101 => 000001011010
001001000110 => 110110111001 => 011110101101 => 100001010010
001101000010 => 110010111101 => 110110011101 => 001001100010
101000100010 => 010111011101 => 111001101101 => 000110010010
101010000010 => 010101111101 => 111000111101 => 000111000010
100010100010 => 011101011101 => 111011001101 => 000100110010
100001011000 => 011110100111 => 011011100111 => 100100011000
100101100000 => 011010011111 => 011010011111 => 100101100000
100101000010 => 011010111101 => 111010011101 => 000101100010
110110110110 => 001001001001 => 010101000001 => 101010111110
110100100000 => 001011011111 => 110001011111 => 001110100000
110100001000 => 001011110111 => 110001110111 => 001110001000
110100000010 => 001011111101 => 110001111101 => 001110000010
110101000110 => 001010111001 => 011100001101 => 100011110010
110001100000 => 001110011111 => 010011011111 => 101100100000
110001000010 => 001110111101 => 110011011101 => 001100100010
110000011000 => 001111100111 => 010011110111 => 101100001000
110000010010 => 001111101101 => 110011110101 => 001100001010
111011101010 => 000100010101 => 110010000001 => 001101111110
111011010110 => 000100101001 => 011010000001 => 100101111110
111001011110 => 000110100001 => 000110001001 => 111001110110
111101100110 => 000010011001 => 010100000101 => 101011111010
10011111111 => 01100000000 => 00000001010 => 11111110101
10001111111 => 01110000000 => 00000010110 => 11111101001
10000111111 => 01111000000 => 00000101110 => 11111010001
10000001111 => 01111110000 => 00010111110 => 11101000001
10000000111 => 01111111000 => 00101111110 => 11010000001
10000000011 => 01111111100 => 01011111110 => 10100000001
111100111000 => 000011000111 => 001000010111 => 110111101000
111101001010 => 000010110101 => 111000001001 => 000111110110
111110010010 => 000001101101 => 110000010101 => 001111101010
111111001000 => 000000110111 => 100000010111 => 011111101000
100100110010 => 011011001101 => 101101010101 => 010010101010
100100111000 => 011011000111 => 001101010111 => 110010101000
100101001010 => 011010110101 => 111101001001 => 000010110110
100101100010 => 011010011101 => 101101001101 => 010010110010
100101101000 => 011010010111 => 101101000111 => 010010111000
100110010010 => 011001101101 => 110101010101 => 001010101010
100110011000 => 011001100111 => 010101010111 => 101010101000
100111000010 => 011000111101 => 100101011101 => 011010100010
100111001000 => 011000110111 => 100101010111 => 011010101000
100111100000 => 011000011111 => 000101011111 => 111010100000
011001000110 => 100110111001 => 011010101101 => 100101010010
011010000110 => 100101111001 => 011010011101 => 100101100010
011011011110 => 100100100001 => 000101010001 => 111010101110
010001011000 => 101110100111 => 011101100111 => 100010011000
010100011000 => 101011100111 => 011100110111 => 100011001000
010010010000 => 101101101111 => 111010101111 => 000101010000
010100010000 => 101011101111 => 111001101111 => 000110010000
00100000000 => 11011111111 => 11011111111 => 00100000000
101011111111 => 010100000000 => 000000011000 => 111111100111
111010111111 => 000101000000 => 000001100000 => 111110011111
101110111111 => 010001000000 => 000001001000 => 111110110111
111110101111 => 000001010000 => 000110000000 => 111001111111
101010101111 => 010101010000 => 000111100000 => 111000011111
111011101111 => 000100010000 => 000100100000 => 111011011111
111001001111 => 000110110000 => 000110001010 => 111001110101
100111001111 => 011000110000 => 000100101010 => 111011010101
111111101011 => 000000010100 => 011000000000 => 100111111111
101011101011 => 010100010100 => 011001100000 => 100110011111
111010101011 => 000101010100 => 011110000000 => 100001111111
111011111011 => 000100000100 => 010000100000 => 101111011111
111001011011 => 000110100100 => 010110001000 => 101001110111
100111011011 => 011000100100 => 010100101000 => 101011010111
111111111010 => 000000000101 => 100000000001 => 011111111110
101110111010 => 010001000101 => 100100100001 => 011011011110
101111101010 => 010000010101 => 110000100001 => 001111011110
100111001010 => 011000110101 => 110010101001 => 001101010110
101110101110 => 010001010001 => 001100100001 => 110011011110
111110010110 => 000001101001 => 011000001001 => 100111110110
101111010110 => 010000101001 => 011000100001 => 100111011110
111001110110 => 000110001001 => 010010001001 => 101101110110
101101110110 => 010010001001 => 010010100001 => 101101011110
111111100100 => 000000011011 => 100000001011 => 011111110100
100100100100 => 011011011011 => 111010101011 => 000101010100
100010010100 => 011101101011 => 111011010011 => 000100101100
111011011100 => 000100100011 => 001010000011 => 110101111100
101111011100 => 010000100011 => 001000100011 => 110111011100
111001111100 => 000110000011 => 000010001011 => 111101110100
100111111100 => 011000000011 => 000000101011 => 111111010100
101100010000 => 010011101111 => 101001101111 => 010110010000
100110010000 => 011001101111 => 101010101111 => 010101010000
100011010000 => 011100101111 => 101011001111 => 010100110000
100001110000 => 011110001111 => 001011101111 => 110100010000
110011000110 => 001100111001 => 010100101101 => 101011010010
110011000010 => 001100111101 => 101001011101 => 010110100010
110011100110 => 001100011001 => 010010010101 => 101101101010
110011110110 => 001100001001 => 010001001001 => 101110110110
110011110010 => 001100001101 => 100010010101 => 011101101010
110001001110 => 001110110001 => 001100110101 => 110011001010
110001101100 => 001110010011 => 010100110011 => 101011001100
110001100110 => 001110011001 => 010100110101 => 101011001010
110001100010 => 001110011101 => 101001101101 => 010110010010
110001110010 => 001110001101 => 100100110101 => 011011001010
110001111010 => 001110000101 => 100010011001 => 011101100110
110000100100 => 001111011011 => 110011101011 => 001100010100
110000100010 => 001111011101 => 110011101101 => 001100010010
110000001010 => 001111110101 => 110011111001 => 001100000110
111001001110 => 000110110001 => 001100010101 => 110011101010
111001000110 => 000110111001 => 011000101101 => 100111010010
111001000010 => 000110111101 => 110001011101 => 001110100010
111001100110 => 000110011001 => 010100010101 => 101011101010
111001110010 => 000110001101 => 100100010101 => 011011101010
111000010010 => 000111101101 => 110001110101 => 001110001010
111101101100 => 000010010011 => 010100000011 => 101011111100
111101101110 => 000010010001 => 001010000001 => 110101111110
111101111010 => 000010000101 => 100010000001 => 011101111110
111100110110 => 000011001001 => 010100001001 => 101011110110
111100011010 => 000011100101 => 101000011001 => 010111100110
111111010010 => 000000101101 => 110000000101 => 001111111010
111111011010 => 000000100101 => 101000000001 => 010111111110
111111001010 => 000000110101 => 110000001001 => 001111110110
100111000011 => 011000111100 => 010010101110 => 101101010001
110001001011 => 001110110100 => 011100110100 => 100011001011
110001000111 => 001110111000 => 001100110110 => 110011001001
110010010110 => 001101101001 => 011100101001 => 100011010110
110110000110 => 001001111001 => 010100011101 => 101011100010
111100000110 => 000011111001 => 010000111101 => 101111000010
110100001110 => 001011110001 => 001100011101 => 110011100010
11111010001 => 00000101110 => 11000000110 => 00111111001
10100101011 => 01011010100 => 01111001000 => 10000110111
10010101101 => 01101010010 => 10111010000 => 01000101111
10001011101 => 01110100010 => 10011011000 => 01100100111
00100011111 => 11011100000 => 00001110110 => 11110001001
110010001000 => 001101110111 => 110010110111 => 001101001000
0101001000 => 1010110111 => 1110010111 => 0001101000
0010010000 => 1101101111 => 1110101111 => 0001010000
0100101000 => 1011010111 => 1110100111 => 0001011000
010011100011 => 101100011100 => 010011010110 => 101100101001
010110100011 => 101001011100 => 011011000110 => 100100111001
011001001011 => 100110110100 => 011101010100 => 100010101011
011001100011 => 100110011100 => 010101010110 => 101010101001
011011000011 => 100100111100 => 010101001110 => 101010110001
110001100011 => 001110011100 => 010100110110 => 101011001001
01111110100 => 10000001011 => 10000010011 => 01111101100
0010011001 => 1101100110 => 1011101010 => 0100010101
0010100101 => 1101011010 => 1111100100 => 0000011011
0011001001 => 1100110110 => 1101101010 => 0010010101
0010110111 => 1101001000 => 0010111000 => 1101000111
0010011111 => 1101100000 => 0000111010 => 1111000101
0000111001 => 1111000110 => 1001111010 => 0110000101
0010001101 => 1101110010 => 1011101100 => 0100010011
0001001101 => 1110110010 => 1011110100 => 0100001011
11111111000 => 00000000111 => 00000000111 => 11111111000
110101101010 => 001010010101 => 110110000001 => 001001111110
0001010011 => 1110101100 => 0111110010 => 1000001101
0110101101 => 1001010010 => 1011010000 => 0100101111
0110011101 => 1001100010 => 1001010100 => 0110101011
0110001111 => 1001110000 => 0001010110 => 1110101001
0101101011 => 1010010100 => 0110110000 => 1001001111
0101011101 => 1010100010 => 1001110000 => 0110001111
0100111101 => 1011000010 => 1000110100 => 0111001011
0011011011 => 1100100100 => 0101011000 => 1010100111
0001111011 => 1110000100 => 0100011100 => 1011100011
111111011011 => 000000100100 => 010100000000 => 101011111111
111101101111 => 000010010000 => 000101000000 => 111010111111
111101111011 => 000010000100 => 010001000000 => 101110111111
110011011011 => 001100100100 => 010101001000 => 101010110111
110110111111 => 001001000000 => 000001010000 => 111110101111
110110011011 => 001001100100 => 010101000100 => 101010111011
110111101111 => 001000010000 => 000100010000 => 111011101111
110111111011 => 001000000100 => 010000010000 => 101111101111
110100101111 => 001011010000 => 000111000100 => 111000111011
110101101011 => 001010010100 => 011011000000 => 100100111111
001111111111 => 110000000000 => 000000000110 => 111111111001
001111011011 => 110000100100 => 010100011000 => 101011100111
001101101111 => 110010010000 => 000101011000 => 111010100111
001101111011 => 110010000100 => 010001011000 => 101110100111
000011111111 => 111100000000 => 000000011110 => 111111100001
000000001111 => 111111110000 => 000111111110 => 111000000001
000000000011 => 111111111100 => 011111111110 => 100000000001
011011111111 => 100100000000 => 000000010100 => 111111101011
011011001111 => 100100110000 => 000101010010 => 111010101101
011001111011 => 100110000100 => 010001010100 => 101110101011
011110111111 => 100001000000 => 000001000100 => 111110111011
011110011011 => 100001100100 => 010100010100 => 101011101011
011111101111 => 100000010000 => 000100000100 => 111011111011
011111111011 => 100000000100 => 010000000100 => 101111111011
11100000000 => 00011111111 => 00011111111 => 11100000000
11110000000 => 00001111111 => 00001111111 => 11110000000
11111110000 => 00000001111 => 00000001111 => 11111110000
11100101010 => 00011010101 => 11100010001 => 00011101110
11101010010 => 00010101101 => 11100000101 => 00011111010
11101110000 => 00010001111 => 00100001111 => 11011110000
11110100010 => 00001011101 => 11000001101 => 00111110010
11111000100 => 00000111011 => 10000011011 => 01111100100
11111001000 => 00000110111 => 10000010111 => 01111101000
111111110110 => 000000001001 => 010000000001 => 101111111110
111101011010 => 000010100101 => 101100000001 => 010011111110
110000000000 => 001111111111 => 001111111111 => 110000000000
110001011010 => 001110100101 => 101100110001 => 010011001110
110110011110 => 001001100001 => 000101000101 => 111010111010
110111100110 => 001000011001 => 010001000101 => 101110111010
110111111000 => 001000000111 => 000001000111 => 111110111000
110111110010 => 001000001101 => 100001000101 => 011110111010
110111011010 => 001000100101 => 101001000001 => 010110111110
110101111010 => 001010000101 => 100011000001 => 011100111110
010010101000 => 101101010111 => 111101000111 => 000010111000
0010000111 => 1101111000 => 0011101110 => 1100010001
0011100111 => 1100011000 => 0010011010 => 1101100101
11110101010 => 00001010101 => 11100000001 => 00011111110
0111011111 => 1000100000 => 0000100100 => 1111011011
001010010001 => 110101101110 => 111110010110 => 000001101001
001000110001 => 110111001110 => 101110110110 => 010001001001
110010011000 => 001101100111 => 011001010111 => 100110101000
110011001000 => 001100110111 => 101001010111 => 010110101000
110110001000 => 001001110111 => 101000110111 => 010111001000
111000011000 => 000111100111 => 010001110111 => 101110001000
111001001000 => 000110110111 => 110001010111 => 001110101000
111100001000 => 000011110111 => 100001110111 => 011110001000
10111010000 => 01000101111 => 10010001111 => 01101110000
10111110100 => 01000001011 => 10000100011 => 01111011100
11111101010 => 00000010101 => 11000000001 => 00111111110
11111010010 => 00000101101 => 11000000101 => 00111111010
10111011111 => 01000100000 => 00001001000 => 11110110111
11101010101 => 00010101010 => 11110000000 => 00001111111
11101111111 => 00010000000 => 00000010000 => 11111101111
11111011101 => 00000100010 => 10010000000 => 01101111111
11111110111 => 00000001000 => 00100000000 => 11011111111
11111100100 => 00000011011 => 10000001011 => 01111110100
11110010000 => 00001101111 => 10000101111 => 01111010000
11100011100 => 00011100011 => 00100011011 => 11011100100
11101000101 => 00010111010 => 11100001100 => 00011110011
110100100010 => 001011011101 => 111000101101 => 000111010010
110010010010 => 001101101101 => 111001010101 => 000110101010
110010000100 => 001101111011 => 110010111011 => 001101000100
110001001010 => 001110110101 => 111001101001 => 000110010110
110000101000 => 001111010111 => 110011100111 => 001100011000
101001000100 => 010110111011 => 111001011011 => 000110100100
101000010100 => 010111101011 => 111001110011 => 000110001100
100100001000 => 011011110111 => 110101110111 => 001010001000
0000110000 => 1111001111 => 0111101111 => 1000010000
001100100100 => 110011011011 => 110110101011 => 001001010100
001110000100 => 110001111011 => 100110111011 => 011001000100
001001100100 => 110110011011 => 101110101011 => 010001010100
100110000100 => 011001111011 => 101010111011 => 010101000100
100001100100 => 011110011011 => 101011101011 => 010100010100
100011000100 => 011100111011 => 101011011011 => 010100100100
101001011100 => 010110100011 => 001110010011 => 110001101100
0000100001 => 1111011110 => 1111101110 => 0000010001
000010011001 => 111101100110 => 101111101010 => 010000010101
000010001101 => 111101110010 => 101111101100 => 010000010011
001100100001 => 110011011110 => 110110101110 => 001001010001
001110110111 => 110001001000 => 001010011000 => 110101100111
001110111101 => 110001000010 => 100010011000 => 011101100111
001001001001 => 110110110110 => 111110101010 => 000001010101
001000100101 => 110111011010 => 111110110100 => 000001001011
001011011111 => 110100100000 => 000010111000 => 111101000111
001011110111 => 110100001000 => 001000111000 => 110111000111
001010000101 => 110101111010 => 111110011100 => 000001100011
0000000011111111 => 1111111100000000 => 0000000111111110 => 1111111000000001
000000000111111111 => 111111111000000000 => 000000001111111110 => 111111110000000001
00000000001111111111 => 11111111110000000000 => 00000000011111111110 => 11111111100000000001
00000101011 => 11111010100 => 01111111000 => 10000000111
00100001011 => 11011110100 => 01111011100 => 10000100011
100111000110 => 011000111001 => 010010101101 => 101101010010
100111010010 => 011000101101 => 110010100101 => 001101011010
100101110010 => 011010001101 => 100110100101 => 011001011010
00000010001 => 11111101110 => 11111110110 => 00000001001
110010000110 => 001101111001 => 011001011101 => 100110100010
110110000010 => 001001111101 => 101000111101 => 010111000010
110100001010 => 001011110101 => 111000111001 => 000111000110
10111110001 => 01000001110 => 10000100110 => 01111011001
11101011010 => 00010100101 => 10110000001 => 01001111110
11101010110 => 00010101001 => 01110000001 => 10001111110
11101101010 => 00010010101 => 11010000001 => 00101111110
11111011100 => 00000100011 => 00100000011 => 11011111100
10101011000 => 01010100111 => 01110000111 => 10001111000
110010000010 => 001101111101 => 110010111101 => 001101000010
110111101010 => 001000010101 => 110001000001 => 001110111110
111101101010 => 000010010101 => 110100000001 => 001011111110
10111000100 => 01000111011 => 10010011011 => 01101100100
111000000010 => 000111111101 => 100011111101 => 011100000010
110010100000 => 001101011111 => 110010011111 => 001101100000
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
Map
Foata bijection
Description
The Foata bijection $\phi$ is a bijection on the set of words of given content (by a slight generalization of Section 2 in [1]).
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$. At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
For instance, to compute $\phi(4154223)$, the sequence of words is
  • 4,
  • |4|1 -- > 41,
  • |4|1|5 -- > 415,
  • |415|4 -- > 5414,
  • |5|4|14|2 -- > 54412,
  • |5441|2|2 -- > 154422,
  • |1|5442|2|3 -- > 1254423.
So $\phi(4154223) = 1254423$.