Identifier
Mp00200:
Binary words
—twist⟶
Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
0 => 1 => 1 => 0
1 => 0 => 0 => 1
00 => 10 => 01 => 10
01 => 11 => 11 => 00
10 => 00 => 00 => 11
11 => 01 => 10 => 01
000 => 100 => 001 => 110
001 => 101 => 101 => 010
010 => 110 => 011 => 100
011 => 111 => 111 => 000
100 => 000 => 000 => 111
101 => 001 => 100 => 011
110 => 010 => 010 => 101
111 => 011 => 110 => 001
0000 => 1000 => 0001 => 1110
0001 => 1001 => 1001 => 0110
0010 => 1010 => 0101 => 1010
0011 => 1011 => 1101 => 0010
0100 => 1100 => 0011 => 1100
0101 => 1101 => 1011 => 0100
0110 => 1110 => 0111 => 1000
0111 => 1111 => 1111 => 0000
1000 => 0000 => 0000 => 1111
1001 => 0001 => 1000 => 0111
1010 => 0010 => 0100 => 1011
1011 => 0011 => 1100 => 0011
1100 => 0100 => 0010 => 1101
1101 => 0101 => 1010 => 0101
1110 => 0110 => 0110 => 1001
1111 => 0111 => 1110 => 0001
00000 => 10000 => 00001 => 11110
00001 => 10001 => 10001 => 01110
00010 => 10010 => 01001 => 10110
00011 => 10011 => 11001 => 00110
00100 => 10100 => 00101 => 11010
00101 => 10101 => 10101 => 01010
00110 => 10110 => 01101 => 10010
00111 => 10111 => 11101 => 00010
01000 => 11000 => 00011 => 11100
01001 => 11001 => 10011 => 01100
01010 => 11010 => 01011 => 10100
01011 => 11011 => 11011 => 00100
01100 => 11100 => 00111 => 11000
01101 => 11101 => 10111 => 01000
01110 => 11110 => 01111 => 10000
01111 => 11111 => 11111 => 00000
10000 => 00000 => 00000 => 11111
10001 => 00001 => 10000 => 01111
10010 => 00010 => 01000 => 10111
10011 => 00011 => 11000 => 00111
10100 => 00100 => 00100 => 11011
10101 => 00101 => 10100 => 01011
10110 => 00110 => 01100 => 10011
10111 => 00111 => 11100 => 00011
11000 => 01000 => 00010 => 11101
11001 => 01001 => 10010 => 01101
11010 => 01010 => 01010 => 10101
11011 => 01011 => 11010 => 00101
11100 => 01100 => 00110 => 11001
11101 => 01101 => 10110 => 01001
11110 => 01110 => 01110 => 10001
11111 => 01111 => 11110 => 00001
000000 => 100000 => 000001 => 111110
000001 => 100001 => 100001 => 011110
000010 => 100010 => 010001 => 101110
000011 => 100011 => 110001 => 001110
000100 => 100100 => 001001 => 110110
000101 => 100101 => 101001 => 010110
000110 => 100110 => 011001 => 100110
000111 => 100111 => 111001 => 000110
001000 => 101000 => 000101 => 111010
001001 => 101001 => 100101 => 011010
001010 => 101010 => 010101 => 101010
001011 => 101011 => 110101 => 001010
001100 => 101100 => 001101 => 110010
001101 => 101101 => 101101 => 010010
001110 => 101110 => 011101 => 100010
001111 => 101111 => 111101 => 000010
010000 => 110000 => 000011 => 111100
010001 => 110001 => 100011 => 011100
010010 => 110010 => 010011 => 101100
010011 => 110011 => 110011 => 001100
010100 => 110100 => 001011 => 110100
010101 => 110101 => 101011 => 010100
010110 => 110110 => 011011 => 100100
010111 => 110111 => 111011 => 000100
011000 => 111000 => 000111 => 111000
011001 => 111001 => 100111 => 011000
011010 => 111010 => 010111 => 101000
011011 => 111011 => 110111 => 001000
011100 => 111100 => 001111 => 110000
011101 => 111101 => 101111 => 010000
011110 => 111110 => 011111 => 100000
011111 => 111111 => 111111 => 000000
100000 => 000000 => 000000 => 111111
100001 => 000001 => 100000 => 011111
100010 => 000010 => 010000 => 101111
100011 => 000011 => 110000 => 001111
100100 => 000100 => 001000 => 110111
100101 => 000101 => 101000 => 010111
100110 => 000110 => 011000 => 100111
>>> Load all 3368 entries. <<<
100111 => 000111 => 111000 => 000111
101000 => 001000 => 000100 => 111011
101001 => 001001 => 100100 => 011011
101010 => 001010 => 010100 => 101011
101011 => 001011 => 110100 => 001011
101100 => 001100 => 001100 => 110011
101101 => 001101 => 101100 => 010011
101110 => 001110 => 011100 => 100011
101111 => 001111 => 111100 => 000011
110000 => 010000 => 000010 => 111101
110001 => 010001 => 100010 => 011101
110010 => 010010 => 010010 => 101101
110011 => 010011 => 110010 => 001101
110100 => 010100 => 001010 => 110101
110101 => 010101 => 101010 => 010101
110110 => 010110 => 011010 => 100101
110111 => 010111 => 111010 => 000101
111000 => 011000 => 000110 => 111001
111001 => 011001 => 100110 => 011001
111010 => 011010 => 010110 => 101001
111011 => 011011 => 110110 => 001001
111100 => 011100 => 001110 => 110001
111101 => 011101 => 101110 => 010001
111110 => 011110 => 011110 => 100001
111111 => 011111 => 111110 => 000001
0000000 => 1000000 => 0000001 => 1111110
0000001 => 1000001 => 1000001 => 0111110
0000010 => 1000010 => 0100001 => 1011110
0000011 => 1000011 => 1100001 => 0011110
0000100 => 1000100 => 0010001 => 1101110
0000101 => 1000101 => 1010001 => 0101110
0000110 => 1000110 => 0110001 => 1001110
0000111 => 1000111 => 1110001 => 0001110
0001000 => 1001000 => 0001001 => 1110110
0001001 => 1001001 => 1001001 => 0110110
0001010 => 1001010 => 0101001 => 1010110
0001011 => 1001011 => 1101001 => 0010110
0001100 => 1001100 => 0011001 => 1100110
0001101 => 1001101 => 1011001 => 0100110
0001110 => 1001110 => 0111001 => 1000110
0001111 => 1001111 => 1111001 => 0000110
0010000 => 1010000 => 0000101 => 1111010
0010001 => 1010001 => 1000101 => 0111010
0010010 => 1010010 => 0100101 => 1011010
0010011 => 1010011 => 1100101 => 0011010
0010100 => 1010100 => 0010101 => 1101010
0010101 => 1010101 => 1010101 => 0101010
0010110 => 1010110 => 0110101 => 1001010
0010111 => 1010111 => 1110101 => 0001010
0011000 => 1011000 => 0001101 => 1110010
0011001 => 1011001 => 1001101 => 0110010
0011010 => 1011010 => 0101101 => 1010010
0011011 => 1011011 => 1101101 => 0010010
0011100 => 1011100 => 0011101 => 1100010
0011101 => 1011101 => 1011101 => 0100010
0011110 => 1011110 => 0111101 => 1000010
0011111 => 1011111 => 1111101 => 0000010
0100000 => 1100000 => 0000011 => 1111100
0100001 => 1100001 => 1000011 => 0111100
0100010 => 1100010 => 0100011 => 1011100
0100011 => 1100011 => 1100011 => 0011100
0100100 => 1100100 => 0010011 => 1101100
0100101 => 1100101 => 1010011 => 0101100
0100110 => 1100110 => 0110011 => 1001100
0100111 => 1100111 => 1110011 => 0001100
0101000 => 1101000 => 0001011 => 1110100
0101001 => 1101001 => 1001011 => 0110100
0101010 => 1101010 => 0101011 => 1010100
0101011 => 1101011 => 1101011 => 0010100
0101100 => 1101100 => 0011011 => 1100100
0101101 => 1101101 => 1011011 => 0100100
0101110 => 1101110 => 0111011 => 1000100
0101111 => 1101111 => 1111011 => 0000100
0110000 => 1110000 => 0000111 => 1111000
0110001 => 1110001 => 1000111 => 0111000
0110010 => 1110010 => 0100111 => 1011000
0110011 => 1110011 => 1100111 => 0011000
0110100 => 1110100 => 0010111 => 1101000
0110101 => 1110101 => 1010111 => 0101000
0110110 => 1110110 => 0110111 => 1001000
0110111 => 1110111 => 1110111 => 0001000
0111000 => 1111000 => 0001111 => 1110000
0111001 => 1111001 => 1001111 => 0110000
0111010 => 1111010 => 0101111 => 1010000
0111011 => 1111011 => 1101111 => 0010000
0111100 => 1111100 => 0011111 => 1100000
0111101 => 1111101 => 1011111 => 0100000
0111110 => 1111110 => 0111111 => 1000000
0111111 => 1111111 => 1111111 => 0000000
1000000 => 0000000 => 0000000 => 1111111
1000001 => 0000001 => 1000000 => 0111111
1000010 => 0000010 => 0100000 => 1011111
1000011 => 0000011 => 1100000 => 0011111
1000100 => 0000100 => 0010000 => 1101111
1000101 => 0000101 => 1010000 => 0101111
1000110 => 0000110 => 0110000 => 1001111
1000111 => 0000111 => 1110000 => 0001111
1001000 => 0001000 => 0001000 => 1110111
1001001 => 0001001 => 1001000 => 0110111
1001010 => 0001010 => 0101000 => 1010111
1001011 => 0001011 => 1101000 => 0010111
1001100 => 0001100 => 0011000 => 1100111
1001101 => 0001101 => 1011000 => 0100111
1001110 => 0001110 => 0111000 => 1000111
1001111 => 0001111 => 1111000 => 0000111
1010000 => 0010000 => 0000100 => 1111011
1010001 => 0010001 => 1000100 => 0111011
1010010 => 0010010 => 0100100 => 1011011
1010011 => 0010011 => 1100100 => 0011011
1010100 => 0010100 => 0010100 => 1101011
1010101 => 0010101 => 1010100 => 0101011
1010110 => 0010110 => 0110100 => 1001011
1010111 => 0010111 => 1110100 => 0001011
1011000 => 0011000 => 0001100 => 1110011
1011001 => 0011001 => 1001100 => 0110011
1011010 => 0011010 => 0101100 => 1010011
1011011 => 0011011 => 1101100 => 0010011
1011100 => 0011100 => 0011100 => 1100011
1011101 => 0011101 => 1011100 => 0100011
1011110 => 0011110 => 0111100 => 1000011
1011111 => 0011111 => 1111100 => 0000011
1100000 => 0100000 => 0000010 => 1111101
1100001 => 0100001 => 1000010 => 0111101
1100010 => 0100010 => 0100010 => 1011101
1100011 => 0100011 => 1100010 => 0011101
1100100 => 0100100 => 0010010 => 1101101
1100101 => 0100101 => 1010010 => 0101101
1100110 => 0100110 => 0110010 => 1001101
1100111 => 0100111 => 1110010 => 0001101
1101000 => 0101000 => 0001010 => 1110101
1101001 => 0101001 => 1001010 => 0110101
1101010 => 0101010 => 0101010 => 1010101
1101011 => 0101011 => 1101010 => 0010101
1101100 => 0101100 => 0011010 => 1100101
1101101 => 0101101 => 1011010 => 0100101
1101110 => 0101110 => 0111010 => 1000101
1101111 => 0101111 => 1111010 => 0000101
1110000 => 0110000 => 0000110 => 1111001
1110001 => 0110001 => 1000110 => 0111001
1110010 => 0110010 => 0100110 => 1011001
1110011 => 0110011 => 1100110 => 0011001
1110100 => 0110100 => 0010110 => 1101001
1110101 => 0110101 => 1010110 => 0101001
1110110 => 0110110 => 0110110 => 1001001
1110111 => 0110111 => 1110110 => 0001001
1111000 => 0111000 => 0001110 => 1110001
1111001 => 0111001 => 1001110 => 0110001
1111010 => 0111010 => 0101110 => 1010001
1111011 => 0111011 => 1101110 => 0010001
1111100 => 0111100 => 0011110 => 1100001
1111101 => 0111101 => 1011110 => 0100001
1111110 => 0111110 => 0111110 => 1000001
1111111 => 0111111 => 1111110 => 0000001
00000000 => 10000000 => 00000001 => 11111110
00000001 => 10000001 => 10000001 => 01111110
00000010 => 10000010 => 01000001 => 10111110
00000011 => 10000011 => 11000001 => 00111110
00000100 => 10000100 => 00100001 => 11011110
00000101 => 10000101 => 10100001 => 01011110
00000110 => 10000110 => 01100001 => 10011110
00000111 => 10000111 => 11100001 => 00011110
00001000 => 10001000 => 00010001 => 11101110
00001001 => 10001001 => 10010001 => 01101110
00001010 => 10001010 => 01010001 => 10101110
00001011 => 10001011 => 11010001 => 00101110
00001100 => 10001100 => 00110001 => 11001110
00001101 => 10001101 => 10110001 => 01001110
00001110 => 10001110 => 01110001 => 10001110
00001111 => 10001111 => 11110001 => 00001110
00010000 => 10010000 => 00001001 => 11110110
00010001 => 10010001 => 10001001 => 01110110
00010010 => 10010010 => 01001001 => 10110110
00010011 => 10010011 => 11001001 => 00110110
00010100 => 10010100 => 00101001 => 11010110
00010101 => 10010101 => 10101001 => 01010110
00010110 => 10010110 => 01101001 => 10010110
00010111 => 10010111 => 11101001 => 00010110
00011000 => 10011000 => 00011001 => 11100110
00011001 => 10011001 => 10011001 => 01100110
00011010 => 10011010 => 01011001 => 10100110
00011011 => 10011011 => 11011001 => 00100110
00011100 => 10011100 => 00111001 => 11000110
00011101 => 10011101 => 10111001 => 01000110
00011110 => 10011110 => 01111001 => 10000110
00011111 => 10011111 => 11111001 => 00000110
00100000 => 10100000 => 00000101 => 11111010
00100001 => 10100001 => 10000101 => 01111010
00100010 => 10100010 => 01000101 => 10111010
00100011 => 10100011 => 11000101 => 00111010
00100100 => 10100100 => 00100101 => 11011010
00100101 => 10100101 => 10100101 => 01011010
00100110 => 10100110 => 01100101 => 10011010
00100111 => 10100111 => 11100101 => 00011010
00101000 => 10101000 => 00010101 => 11101010
00101001 => 10101001 => 10010101 => 01101010
00101010 => 10101010 => 01010101 => 10101010
00101011 => 10101011 => 11010101 => 00101010
00101100 => 10101100 => 00110101 => 11001010
00101101 => 10101101 => 10110101 => 01001010
00101110 => 10101110 => 01110101 => 10001010
00101111 => 10101111 => 11110101 => 00001010
00110000 => 10110000 => 00001101 => 11110010
00110001 => 10110001 => 10001101 => 01110010
00110010 => 10110010 => 01001101 => 10110010
00110011 => 10110011 => 11001101 => 00110010
00110100 => 10110100 => 00101101 => 11010010
00110101 => 10110101 => 10101101 => 01010010
00110110 => 10110110 => 01101101 => 10010010
00110111 => 10110111 => 11101101 => 00010010
00111000 => 10111000 => 00011101 => 11100010
00111001 => 10111001 => 10011101 => 01100010
00111010 => 10111010 => 01011101 => 10100010
00111011 => 10111011 => 11011101 => 00100010
00111100 => 10111100 => 00111101 => 11000010
00111101 => 10111101 => 10111101 => 01000010
00111110 => 10111110 => 01111101 => 10000010
00111111 => 10111111 => 11111101 => 00000010
01000000 => 11000000 => 00000011 => 11111100
01000001 => 11000001 => 10000011 => 01111100
01000010 => 11000010 => 01000011 => 10111100
01000011 => 11000011 => 11000011 => 00111100
01000100 => 11000100 => 00100011 => 11011100
01000101 => 11000101 => 10100011 => 01011100
01000110 => 11000110 => 01100011 => 10011100
01000111 => 11000111 => 11100011 => 00011100
01001000 => 11001000 => 00010011 => 11101100
01001001 => 11001001 => 10010011 => 01101100
01001010 => 11001010 => 01010011 => 10101100
01001011 => 11001011 => 11010011 => 00101100
01001100 => 11001100 => 00110011 => 11001100
01001101 => 11001101 => 10110011 => 01001100
01001110 => 11001110 => 01110011 => 10001100
01001111 => 11001111 => 11110011 => 00001100
01010000 => 11010000 => 00001011 => 11110100
01010001 => 11010001 => 10001011 => 01110100
01010010 => 11010010 => 01001011 => 10110100
01010011 => 11010011 => 11001011 => 00110100
01010100 => 11010100 => 00101011 => 11010100
01010101 => 11010101 => 10101011 => 01010100
01010110 => 11010110 => 01101011 => 10010100
01010111 => 11010111 => 11101011 => 00010100
01011000 => 11011000 => 00011011 => 11100100
01011001 => 11011001 => 10011011 => 01100100
01011010 => 11011010 => 01011011 => 10100100
01011011 => 11011011 => 11011011 => 00100100
01011100 => 11011100 => 00111011 => 11000100
01011101 => 11011101 => 10111011 => 01000100
01011110 => 11011110 => 01111011 => 10000100
01011111 => 11011111 => 11111011 => 00000100
01100000 => 11100000 => 00000111 => 11111000
01100001 => 11100001 => 10000111 => 01111000
01100010 => 11100010 => 01000111 => 10111000
01100011 => 11100011 => 11000111 => 00111000
01100100 => 11100100 => 00100111 => 11011000
01100101 => 11100101 => 10100111 => 01011000
01100110 => 11100110 => 01100111 => 10011000
01100111 => 11100111 => 11100111 => 00011000
01101000 => 11101000 => 00010111 => 11101000
01101001 => 11101001 => 10010111 => 01101000
01101010 => 11101010 => 01010111 => 10101000
01101011 => 11101011 => 11010111 => 00101000
01101100 => 11101100 => 00110111 => 11001000
01101101 => 11101101 => 10110111 => 01001000
01101110 => 11101110 => 01110111 => 10001000
01101111 => 11101111 => 11110111 => 00001000
01110000 => 11110000 => 00001111 => 11110000
01110001 => 11110001 => 10001111 => 01110000
01110010 => 11110010 => 01001111 => 10110000
01110011 => 11110011 => 11001111 => 00110000
01110100 => 11110100 => 00101111 => 11010000
01110101 => 11110101 => 10101111 => 01010000
01110110 => 11110110 => 01101111 => 10010000
01110111 => 11110111 => 11101111 => 00010000
01111000 => 11111000 => 00011111 => 11100000
01111001 => 11111001 => 10011111 => 01100000
01111010 => 11111010 => 01011111 => 10100000
01111011 => 11111011 => 11011111 => 00100000
01111100 => 11111100 => 00111111 => 11000000
01111101 => 11111101 => 10111111 => 01000000
01111110 => 11111110 => 01111111 => 10000000
01111111 => 11111111 => 11111111 => 00000000
10000000 => 00000000 => 00000000 => 11111111
10000001 => 00000001 => 10000000 => 01111111
10000010 => 00000010 => 01000000 => 10111111
10000011 => 00000011 => 11000000 => 00111111
10000100 => 00000100 => 00100000 => 11011111
10000101 => 00000101 => 10100000 => 01011111
10000110 => 00000110 => 01100000 => 10011111
10000111 => 00000111 => 11100000 => 00011111
10001000 => 00001000 => 00010000 => 11101111
10001001 => 00001001 => 10010000 => 01101111
10001010 => 00001010 => 01010000 => 10101111
10001011 => 00001011 => 11010000 => 00101111
10001100 => 00001100 => 00110000 => 11001111
10001101 => 00001101 => 10110000 => 01001111
10001110 => 00001110 => 01110000 => 10001111
10001111 => 00001111 => 11110000 => 00001111
10010000 => 00010000 => 00001000 => 11110111
10010001 => 00010001 => 10001000 => 01110111
10010010 => 00010010 => 01001000 => 10110111
10010011 => 00010011 => 11001000 => 00110111
10010100 => 00010100 => 00101000 => 11010111
10010101 => 00010101 => 10101000 => 01010111
10010110 => 00010110 => 01101000 => 10010111
10010111 => 00010111 => 11101000 => 00010111
10011000 => 00011000 => 00011000 => 11100111
10011001 => 00011001 => 10011000 => 01100111
10011010 => 00011010 => 01011000 => 10100111
10011011 => 00011011 => 11011000 => 00100111
10011100 => 00011100 => 00111000 => 11000111
10011101 => 00011101 => 10111000 => 01000111
10011110 => 00011110 => 01111000 => 10000111
10011111 => 00011111 => 11111000 => 00000111
10100000 => 00100000 => 00000100 => 11111011
10100001 => 00100001 => 10000100 => 01111011
10100010 => 00100010 => 01000100 => 10111011
10100011 => 00100011 => 11000100 => 00111011
10100100 => 00100100 => 00100100 => 11011011
10100101 => 00100101 => 10100100 => 01011011
10100110 => 00100110 => 01100100 => 10011011
10100111 => 00100111 => 11100100 => 00011011
10101000 => 00101000 => 00010100 => 11101011
10101001 => 00101001 => 10010100 => 01101011
10101010 => 00101010 => 01010100 => 10101011
10101011 => 00101011 => 11010100 => 00101011
10101100 => 00101100 => 00110100 => 11001011
10101101 => 00101101 => 10110100 => 01001011
10101110 => 00101110 => 01110100 => 10001011
10101111 => 00101111 => 11110100 => 00001011
10110000 => 00110000 => 00001100 => 11110011
10110001 => 00110001 => 10001100 => 01110011
10110010 => 00110010 => 01001100 => 10110011
10110011 => 00110011 => 11001100 => 00110011
10110100 => 00110100 => 00101100 => 11010011
10110101 => 00110101 => 10101100 => 01010011
10110110 => 00110110 => 01101100 => 10010011
10110111 => 00110111 => 11101100 => 00010011
10111000 => 00111000 => 00011100 => 11100011
10111001 => 00111001 => 10011100 => 01100011
10111010 => 00111010 => 01011100 => 10100011
10111011 => 00111011 => 11011100 => 00100011
10111100 => 00111100 => 00111100 => 11000011
10111101 => 00111101 => 10111100 => 01000011
10111110 => 00111110 => 01111100 => 10000011
10111111 => 00111111 => 11111100 => 00000011
11000000 => 01000000 => 00000010 => 11111101
11000001 => 01000001 => 10000010 => 01111101
11000010 => 01000010 => 01000010 => 10111101
11000011 => 01000011 => 11000010 => 00111101
11000100 => 01000100 => 00100010 => 11011101
11000101 => 01000101 => 10100010 => 01011101
11000110 => 01000110 => 01100010 => 10011101
11000111 => 01000111 => 11100010 => 00011101
11001000 => 01001000 => 00010010 => 11101101
11001001 => 01001001 => 10010010 => 01101101
11001010 => 01001010 => 01010010 => 10101101
11001011 => 01001011 => 11010010 => 00101101
11001100 => 01001100 => 00110010 => 11001101
11001101 => 01001101 => 10110010 => 01001101
11001110 => 01001110 => 01110010 => 10001101
11001111 => 01001111 => 11110010 => 00001101
11010000 => 01010000 => 00001010 => 11110101
11010001 => 01010001 => 10001010 => 01110101
11010010 => 01010010 => 01001010 => 10110101
11010011 => 01010011 => 11001010 => 00110101
11010100 => 01010100 => 00101010 => 11010101
11010101 => 01010101 => 10101010 => 01010101
11010110 => 01010110 => 01101010 => 10010101
11010111 => 01010111 => 11101010 => 00010101
11011000 => 01011000 => 00011010 => 11100101
11011001 => 01011001 => 10011010 => 01100101
11011010 => 01011010 => 01011010 => 10100101
11011011 => 01011011 => 11011010 => 00100101
11011100 => 01011100 => 00111010 => 11000101
11011101 => 01011101 => 10111010 => 01000101
11011110 => 01011110 => 01111010 => 10000101
11011111 => 01011111 => 11111010 => 00000101
11100000 => 01100000 => 00000110 => 11111001
11100001 => 01100001 => 10000110 => 01111001
11100010 => 01100010 => 01000110 => 10111001
11100011 => 01100011 => 11000110 => 00111001
11100100 => 01100100 => 00100110 => 11011001
11100101 => 01100101 => 10100110 => 01011001
11100110 => 01100110 => 01100110 => 10011001
11100111 => 01100111 => 11100110 => 00011001
11101000 => 01101000 => 00010110 => 11101001
11101001 => 01101001 => 10010110 => 01101001
11101010 => 01101010 => 01010110 => 10101001
11101011 => 01101011 => 11010110 => 00101001
11101100 => 01101100 => 00110110 => 11001001
11101101 => 01101101 => 10110110 => 01001001
11101110 => 01101110 => 01110110 => 10001001
11101111 => 01101111 => 11110110 => 00001001
11110000 => 01110000 => 00001110 => 11110001
11110001 => 01110001 => 10001110 => 01110001
11110010 => 01110010 => 01001110 => 10110001
11110011 => 01110011 => 11001110 => 00110001
11110100 => 01110100 => 00101110 => 11010001
11110101 => 01110101 => 10101110 => 01010001
11110110 => 01110110 => 01101110 => 10010001
11110111 => 01110111 => 11101110 => 00010001
11111000 => 01111000 => 00011110 => 11100001
11111001 => 01111001 => 10011110 => 01100001
11111010 => 01111010 => 01011110 => 10100001
11111011 => 01111011 => 11011110 => 00100001
11111100 => 01111100 => 00111110 => 11000001
11111101 => 01111101 => 10111110 => 01000001
11111110 => 01111110 => 01111110 => 10000001
11111111 => 01111111 => 11111110 => 00000001
000000000 => 100000000 => 000000001 => 111111110
000000001 => 100000001 => 100000001 => 011111110
000000010 => 100000010 => 010000001 => 101111110
000000011 => 100000011 => 110000001 => 001111110
000000100 => 100000100 => 001000001 => 110111110
000000101 => 100000101 => 101000001 => 010111110
000000110 => 100000110 => 011000001 => 100111110
000000111 => 100000111 => 111000001 => 000111110
000001000 => 100001000 => 000100001 => 111011110
000001001 => 100001001 => 100100001 => 011011110
000001010 => 100001010 => 010100001 => 101011110
000001011 => 100001011 => 110100001 => 001011110
000001100 => 100001100 => 001100001 => 110011110
000001101 => 100001101 => 101100001 => 010011110
000001110 => 100001110 => 011100001 => 100011110
000001111 => 100001111 => 111100001 => 000011110
000010000 => 100010000 => 000010001 => 111101110
000010001 => 100010001 => 100010001 => 011101110
000010010 => 100010010 => 010010001 => 101101110
000010011 => 100010011 => 110010001 => 001101110
000010100 => 100010100 => 001010001 => 110101110
000010101 => 100010101 => 101010001 => 010101110
000010110 => 100010110 => 011010001 => 100101110
000010111 => 100010111 => 111010001 => 000101110
000011000 => 100011000 => 000110001 => 111001110
000011001 => 100011001 => 100110001 => 011001110
000011010 => 100011010 => 010110001 => 101001110
000011011 => 100011011 => 110110001 => 001001110
000011100 => 100011100 => 001110001 => 110001110
000011101 => 100011101 => 101110001 => 010001110
000011110 => 100011110 => 011110001 => 100001110
000011111 => 100011111 => 111110001 => 000001110
000100000 => 100100000 => 000001001 => 111110110
000100001 => 100100001 => 100001001 => 011110110
000100010 => 100100010 => 010001001 => 101110110
000100011 => 100100011 => 110001001 => 001110110
000100100 => 100100100 => 001001001 => 110110110
000100101 => 100100101 => 101001001 => 010110110
000100110 => 100100110 => 011001001 => 100110110
000100111 => 100100111 => 111001001 => 000110110
000101000 => 100101000 => 000101001 => 111010110
000101001 => 100101001 => 100101001 => 011010110
000101010 => 100101010 => 010101001 => 101010110
000101011 => 100101011 => 110101001 => 001010110
000101100 => 100101100 => 001101001 => 110010110
000101101 => 100101101 => 101101001 => 010010110
000101110 => 100101110 => 011101001 => 100010110
000101111 => 100101111 => 111101001 => 000010110
000110000 => 100110000 => 000011001 => 111100110
000110001 => 100110001 => 100011001 => 011100110
000110010 => 100110010 => 010011001 => 101100110
000110011 => 100110011 => 110011001 => 001100110
000110100 => 100110100 => 001011001 => 110100110
000110101 => 100110101 => 101011001 => 010100110
000110110 => 100110110 => 011011001 => 100100110
000110111 => 100110111 => 111011001 => 000100110
000111000 => 100111000 => 000111001 => 111000110
000111001 => 100111001 => 100111001 => 011000110
000111010 => 100111010 => 010111001 => 101000110
000111011 => 100111011 => 110111001 => 001000110
000111100 => 100111100 => 001111001 => 110000110
000111101 => 100111101 => 101111001 => 010000110
000111110 => 100111110 => 011111001 => 100000110
000111111 => 100111111 => 111111001 => 000000110
001000000 => 101000000 => 000000101 => 111111010
001000001 => 101000001 => 100000101 => 011111010
001000010 => 101000010 => 010000101 => 101111010
001000011 => 101000011 => 110000101 => 001111010
001000100 => 101000100 => 001000101 => 110111010
001000101 => 101000101 => 101000101 => 010111010
001000110 => 101000110 => 011000101 => 100111010
001000111 => 101000111 => 111000101 => 000111010
001001000 => 101001000 => 000100101 => 111011010
001001001 => 101001001 => 100100101 => 011011010
001001010 => 101001010 => 010100101 => 101011010
001001011 => 101001011 => 110100101 => 001011010
001001100 => 101001100 => 001100101 => 110011010
001001101 => 101001101 => 101100101 => 010011010
001001110 => 101001110 => 011100101 => 100011010
001001111 => 101001111 => 111100101 => 000011010
001010000 => 101010000 => 000010101 => 111101010
001010001 => 101010001 => 100010101 => 011101010
001010010 => 101010010 => 010010101 => 101101010
001010011 => 101010011 => 110010101 => 001101010
001010100 => 101010100 => 001010101 => 110101010
001010101 => 101010101 => 101010101 => 010101010
001010110 => 101010110 => 011010101 => 100101010
001010111 => 101010111 => 111010101 => 000101010
001011000 => 101011000 => 000110101 => 111001010
001011001 => 101011001 => 100110101 => 011001010
001011010 => 101011010 => 010110101 => 101001010
001011011 => 101011011 => 110110101 => 001001010
001011100 => 101011100 => 001110101 => 110001010
001011101 => 101011101 => 101110101 => 010001010
001011110 => 101011110 => 011110101 => 100001010
001011111 => 101011111 => 111110101 => 000001010
001100000 => 101100000 => 000001101 => 111110010
001100001 => 101100001 => 100001101 => 011110010
001100010 => 101100010 => 010001101 => 101110010
001100011 => 101100011 => 110001101 => 001110010
001100100 => 101100100 => 001001101 => 110110010
001100101 => 101100101 => 101001101 => 010110010
001100110 => 101100110 => 011001101 => 100110010
001100111 => 101100111 => 111001101 => 000110010
001101000 => 101101000 => 000101101 => 111010010
001101001 => 101101001 => 100101101 => 011010010
001101010 => 101101010 => 010101101 => 101010010
001101011 => 101101011 => 110101101 => 001010010
001101100 => 101101100 => 001101101 => 110010010
001101101 => 101101101 => 101101101 => 010010010
001101110 => 101101110 => 011101101 => 100010010
001101111 => 101101111 => 111101101 => 000010010
001110000 => 101110000 => 000011101 => 111100010
001110001 => 101110001 => 100011101 => 011100010
001110010 => 101110010 => 010011101 => 101100010
001110011 => 101110011 => 110011101 => 001100010
001110100 => 101110100 => 001011101 => 110100010
001110101 => 101110101 => 101011101 => 010100010
001110110 => 101110110 => 011011101 => 100100010
001110111 => 101110111 => 111011101 => 000100010
001111000 => 101111000 => 000111101 => 111000010
001111001 => 101111001 => 100111101 => 011000010
001111010 => 101111010 => 010111101 => 101000010
001111011 => 101111011 => 110111101 => 001000010
001111100 => 101111100 => 001111101 => 110000010
001111101 => 101111101 => 101111101 => 010000010
001111110 => 101111110 => 011111101 => 100000010
001111111 => 101111111 => 111111101 => 000000010
010000000 => 110000000 => 000000011 => 111111100
010000001 => 110000001 => 100000011 => 011111100
010000010 => 110000010 => 010000011 => 101111100
010000011 => 110000011 => 110000011 => 001111100
010000100 => 110000100 => 001000011 => 110111100
010000101 => 110000101 => 101000011 => 010111100
010000110 => 110000110 => 011000011 => 100111100
010000111 => 110000111 => 111000011 => 000111100
010001000 => 110001000 => 000100011 => 111011100
010001001 => 110001001 => 100100011 => 011011100
010001010 => 110001010 => 010100011 => 101011100
010001011 => 110001011 => 110100011 => 001011100
010001100 => 110001100 => 001100011 => 110011100
010001101 => 110001101 => 101100011 => 010011100
010001110 => 110001110 => 011100011 => 100011100
010001111 => 110001111 => 111100011 => 000011100
010010000 => 110010000 => 000010011 => 111101100
010010001 => 110010001 => 100010011 => 011101100
010010010 => 110010010 => 010010011 => 101101100
010010011 => 110010011 => 110010011 => 001101100
010010100 => 110010100 => 001010011 => 110101100
010010101 => 110010101 => 101010011 => 010101100
010010110 => 110010110 => 011010011 => 100101100
010010111 => 110010111 => 111010011 => 000101100
010011000 => 110011000 => 000110011 => 111001100
010011001 => 110011001 => 100110011 => 011001100
010011010 => 110011010 => 010110011 => 101001100
010011011 => 110011011 => 110110011 => 001001100
010011100 => 110011100 => 001110011 => 110001100
010011101 => 110011101 => 101110011 => 010001100
010011110 => 110011110 => 011110011 => 100001100
010011111 => 110011111 => 111110011 => 000001100
010100000 => 110100000 => 000001011 => 111110100
010100001 => 110100001 => 100001011 => 011110100
010100010 => 110100010 => 010001011 => 101110100
010100011 => 110100011 => 110001011 => 001110100
010100100 => 110100100 => 001001011 => 110110100
010100101 => 110100101 => 101001011 => 010110100
010100110 => 110100110 => 011001011 => 100110100
010100111 => 110100111 => 111001011 => 000110100
010101000 => 110101000 => 000101011 => 111010100
010101001 => 110101001 => 100101011 => 011010100
010101010 => 110101010 => 010101011 => 101010100
010101011 => 110101011 => 110101011 => 001010100
010101100 => 110101100 => 001101011 => 110010100
010101101 => 110101101 => 101101011 => 010010100
010101110 => 110101110 => 011101011 => 100010100
010101111 => 110101111 => 111101011 => 000010100
010110000 => 110110000 => 000011011 => 111100100
010110001 => 110110001 => 100011011 => 011100100
010110010 => 110110010 => 010011011 => 101100100
010110011 => 110110011 => 110011011 => 001100100
010110100 => 110110100 => 001011011 => 110100100
010110101 => 110110101 => 101011011 => 010100100
010110110 => 110110110 => 011011011 => 100100100
010110111 => 110110111 => 111011011 => 000100100
010111000 => 110111000 => 000111011 => 111000100
010111001 => 110111001 => 100111011 => 011000100
010111010 => 110111010 => 010111011 => 101000100
010111011 => 110111011 => 110111011 => 001000100
010111100 => 110111100 => 001111011 => 110000100
010111101 => 110111101 => 101111011 => 010000100
010111110 => 110111110 => 011111011 => 100000100
010111111 => 110111111 => 111111011 => 000000100
011000000 => 111000000 => 000000111 => 111111000
011000001 => 111000001 => 100000111 => 011111000
011000010 => 111000010 => 010000111 => 101111000
011000011 => 111000011 => 110000111 => 001111000
011000100 => 111000100 => 001000111 => 110111000
011000101 => 111000101 => 101000111 => 010111000
011000110 => 111000110 => 011000111 => 100111000
011000111 => 111000111 => 111000111 => 000111000
011001000 => 111001000 => 000100111 => 111011000
011001001 => 111001001 => 100100111 => 011011000
011001010 => 111001010 => 010100111 => 101011000
011001011 => 111001011 => 110100111 => 001011000
011001100 => 111001100 => 001100111 => 110011000
011001101 => 111001101 => 101100111 => 010011000
011001110 => 111001110 => 011100111 => 100011000
011001111 => 111001111 => 111100111 => 000011000
011010000 => 111010000 => 000010111 => 111101000
011010001 => 111010001 => 100010111 => 011101000
011010010 => 111010010 => 010010111 => 101101000
011010011 => 111010011 => 110010111 => 001101000
011010100 => 111010100 => 001010111 => 110101000
011010101 => 111010101 => 101010111 => 010101000
011010110 => 111010110 => 011010111 => 100101000
011010111 => 111010111 => 111010111 => 000101000
011011000 => 111011000 => 000110111 => 111001000
011011001 => 111011001 => 100110111 => 011001000
011011010 => 111011010 => 010110111 => 101001000
011011011 => 111011011 => 110110111 => 001001000
011011100 => 111011100 => 001110111 => 110001000
011011101 => 111011101 => 101110111 => 010001000
011011110 => 111011110 => 011110111 => 100001000
011011111 => 111011111 => 111110111 => 000001000
011100000 => 111100000 => 000001111 => 111110000
011100001 => 111100001 => 100001111 => 011110000
011100010 => 111100010 => 010001111 => 101110000
011100011 => 111100011 => 110001111 => 001110000
011100100 => 111100100 => 001001111 => 110110000
011100101 => 111100101 => 101001111 => 010110000
011100110 => 111100110 => 011001111 => 100110000
011100111 => 111100111 => 111001111 => 000110000
011101000 => 111101000 => 000101111 => 111010000
011101001 => 111101001 => 100101111 => 011010000
011101010 => 111101010 => 010101111 => 101010000
011101011 => 111101011 => 110101111 => 001010000
011101100 => 111101100 => 001101111 => 110010000
011101101 => 111101101 => 101101111 => 010010000
011101110 => 111101110 => 011101111 => 100010000
011101111 => 111101111 => 111101111 => 000010000
011110000 => 111110000 => 000011111 => 111100000
011110001 => 111110001 => 100011111 => 011100000
011110010 => 111110010 => 010011111 => 101100000
011110011 => 111110011 => 110011111 => 001100000
011110100 => 111110100 => 001011111 => 110100000
011110101 => 111110101 => 101011111 => 010100000
011110110 => 111110110 => 011011111 => 100100000
011110111 => 111110111 => 111011111 => 000100000
011111000 => 111111000 => 000111111 => 111000000
011111001 => 111111001 => 100111111 => 011000000
011111010 => 111111010 => 010111111 => 101000000
011111011 => 111111011 => 110111111 => 001000000
011111100 => 111111100 => 001111111 => 110000000
011111101 => 111111101 => 101111111 => 010000000
011111110 => 111111110 => 011111111 => 100000000
011111111 => 111111111 => 111111111 => 000000000
100000000 => 000000000 => 000000000 => 111111111
100000001 => 000000001 => 100000000 => 011111111
100000010 => 000000010 => 010000000 => 101111111
100000011 => 000000011 => 110000000 => 001111111
100000100 => 000000100 => 001000000 => 110111111
100000101 => 000000101 => 101000000 => 010111111
100000110 => 000000110 => 011000000 => 100111111
100000111 => 000000111 => 111000000 => 000111111
100001000 => 000001000 => 000100000 => 111011111
100001001 => 000001001 => 100100000 => 011011111
100001010 => 000001010 => 010100000 => 101011111
100001011 => 000001011 => 110100000 => 001011111
100001100 => 000001100 => 001100000 => 110011111
100001101 => 000001101 => 101100000 => 010011111
100001110 => 000001110 => 011100000 => 100011111
100001111 => 000001111 => 111100000 => 000011111
100010000 => 000010000 => 000010000 => 111101111
100010001 => 000010001 => 100010000 => 011101111
100010010 => 000010010 => 010010000 => 101101111
100010011 => 000010011 => 110010000 => 001101111
100010100 => 000010100 => 001010000 => 110101111
100010101 => 000010101 => 101010000 => 010101111
100010110 => 000010110 => 011010000 => 100101111
100010111 => 000010111 => 111010000 => 000101111
100011000 => 000011000 => 000110000 => 111001111
100011001 => 000011001 => 100110000 => 011001111
100011010 => 000011010 => 010110000 => 101001111
100011011 => 000011011 => 110110000 => 001001111
100011100 => 000011100 => 001110000 => 110001111
100011101 => 000011101 => 101110000 => 010001111
100011110 => 000011110 => 011110000 => 100001111
100011111 => 000011111 => 111110000 => 000001111
100100000 => 000100000 => 000001000 => 111110111
100100001 => 000100001 => 100001000 => 011110111
100100010 => 000100010 => 010001000 => 101110111
100100011 => 000100011 => 110001000 => 001110111
100100100 => 000100100 => 001001000 => 110110111
100100101 => 000100101 => 101001000 => 010110111
100100110 => 000100110 => 011001000 => 100110111
100100111 => 000100111 => 111001000 => 000110111
100101000 => 000101000 => 000101000 => 111010111
100101001 => 000101001 => 100101000 => 011010111
100101010 => 000101010 => 010101000 => 101010111
100101011 => 000101011 => 110101000 => 001010111
100101100 => 000101100 => 001101000 => 110010111
100101101 => 000101101 => 101101000 => 010010111
100101110 => 000101110 => 011101000 => 100010111
100101111 => 000101111 => 111101000 => 000010111
100110000 => 000110000 => 000011000 => 111100111
100110001 => 000110001 => 100011000 => 011100111
100110010 => 000110010 => 010011000 => 101100111
100110011 => 000110011 => 110011000 => 001100111
100110100 => 000110100 => 001011000 => 110100111
100110101 => 000110101 => 101011000 => 010100111
100110110 => 000110110 => 011011000 => 100100111
100110111 => 000110111 => 111011000 => 000100111
100111000 => 000111000 => 000111000 => 111000111
100111001 => 000111001 => 100111000 => 011000111
100111010 => 000111010 => 010111000 => 101000111
100111011 => 000111011 => 110111000 => 001000111
100111100 => 000111100 => 001111000 => 110000111
100111101 => 000111101 => 101111000 => 010000111
100111110 => 000111110 => 011111000 => 100000111
100111111 => 000111111 => 111111000 => 000000111
101000000 => 001000000 => 000000100 => 111111011
101000001 => 001000001 => 100000100 => 011111011
101000010 => 001000010 => 010000100 => 101111011
101000011 => 001000011 => 110000100 => 001111011
101000100 => 001000100 => 001000100 => 110111011
101000101 => 001000101 => 101000100 => 010111011
101000110 => 001000110 => 011000100 => 100111011
101000111 => 001000111 => 111000100 => 000111011
101001000 => 001001000 => 000100100 => 111011011
101001001 => 001001001 => 100100100 => 011011011
101001010 => 001001010 => 010100100 => 101011011
101001011 => 001001011 => 110100100 => 001011011
101001100 => 001001100 => 001100100 => 110011011
101001101 => 001001101 => 101100100 => 010011011
101001110 => 001001110 => 011100100 => 100011011
101001111 => 001001111 => 111100100 => 000011011
101010000 => 001010000 => 000010100 => 111101011
101010001 => 001010001 => 100010100 => 011101011
101010010 => 001010010 => 010010100 => 101101011
101010011 => 001010011 => 110010100 => 001101011
101010100 => 001010100 => 001010100 => 110101011
101010101 => 001010101 => 101010100 => 010101011
101010110 => 001010110 => 011010100 => 100101011
101010111 => 001010111 => 111010100 => 000101011
101011000 => 001011000 => 000110100 => 111001011
101011001 => 001011001 => 100110100 => 011001011
101011010 => 001011010 => 010110100 => 101001011
101011011 => 001011011 => 110110100 => 001001011
101011100 => 001011100 => 001110100 => 110001011
101011101 => 001011101 => 101110100 => 010001011
101011110 => 001011110 => 011110100 => 100001011
101011111 => 001011111 => 111110100 => 000001011
101100000 => 001100000 => 000001100 => 111110011
101100001 => 001100001 => 100001100 => 011110011
101100010 => 001100010 => 010001100 => 101110011
101100011 => 001100011 => 110001100 => 001110011
101100100 => 001100100 => 001001100 => 110110011
101100101 => 001100101 => 101001100 => 010110011
101100110 => 001100110 => 011001100 => 100110011
101100111 => 001100111 => 111001100 => 000110011
101101000 => 001101000 => 000101100 => 111010011
101101001 => 001101001 => 100101100 => 011010011
101101010 => 001101010 => 010101100 => 101010011
101101011 => 001101011 => 110101100 => 001010011
101101100 => 001101100 => 001101100 => 110010011
101101101 => 001101101 => 101101100 => 010010011
101101110 => 001101110 => 011101100 => 100010011
101101111 => 001101111 => 111101100 => 000010011
101110000 => 001110000 => 000011100 => 111100011
101110001 => 001110001 => 100011100 => 011100011
101110010 => 001110010 => 010011100 => 101100011
101110011 => 001110011 => 110011100 => 001100011
101110100 => 001110100 => 001011100 => 110100011
101110101 => 001110101 => 101011100 => 010100011
101110110 => 001110110 => 011011100 => 100100011
101110111 => 001110111 => 111011100 => 000100011
101111000 => 001111000 => 000111100 => 111000011
101111001 => 001111001 => 100111100 => 011000011
101111010 => 001111010 => 010111100 => 101000011
101111011 => 001111011 => 110111100 => 001000011
101111100 => 001111100 => 001111100 => 110000011
101111101 => 001111101 => 101111100 => 010000011
101111110 => 001111110 => 011111100 => 100000011
101111111 => 001111111 => 111111100 => 000000011
110000000 => 010000000 => 000000010 => 111111101
110000001 => 010000001 => 100000010 => 011111101
110000010 => 010000010 => 010000010 => 101111101
110000011 => 010000011 => 110000010 => 001111101
110000100 => 010000100 => 001000010 => 110111101
110000101 => 010000101 => 101000010 => 010111101
110000110 => 010000110 => 011000010 => 100111101
110000111 => 010000111 => 111000010 => 000111101
110001000 => 010001000 => 000100010 => 111011101
110001001 => 010001001 => 100100010 => 011011101
110001010 => 010001010 => 010100010 => 101011101
110001011 => 010001011 => 110100010 => 001011101
110001100 => 010001100 => 001100010 => 110011101
110001101 => 010001101 => 101100010 => 010011101
110001110 => 010001110 => 011100010 => 100011101
110001111 => 010001111 => 111100010 => 000011101
110010000 => 010010000 => 000010010 => 111101101
110010001 => 010010001 => 100010010 => 011101101
110010010 => 010010010 => 010010010 => 101101101
110010011 => 010010011 => 110010010 => 001101101
110010100 => 010010100 => 001010010 => 110101101
110010101 => 010010101 => 101010010 => 010101101
110010110 => 010010110 => 011010010 => 100101101
110010111 => 010010111 => 111010010 => 000101101
110011000 => 010011000 => 000110010 => 111001101
110011001 => 010011001 => 100110010 => 011001101
110011010 => 010011010 => 010110010 => 101001101
110011011 => 010011011 => 110110010 => 001001101
110011100 => 010011100 => 001110010 => 110001101
110011101 => 010011101 => 101110010 => 010001101
110011110 => 010011110 => 011110010 => 100001101
110011111 => 010011111 => 111110010 => 000001101
110100000 => 010100000 => 000001010 => 111110101
110100001 => 010100001 => 100001010 => 011110101
110100010 => 010100010 => 010001010 => 101110101
110100011 => 010100011 => 110001010 => 001110101
110100100 => 010100100 => 001001010 => 110110101
110100101 => 010100101 => 101001010 => 010110101
110100110 => 010100110 => 011001010 => 100110101
110100111 => 010100111 => 111001010 => 000110101
110101000 => 010101000 => 000101010 => 111010101
110101001 => 010101001 => 100101010 => 011010101
110101010 => 010101010 => 010101010 => 101010101
110101011 => 010101011 => 110101010 => 001010101
110101100 => 010101100 => 001101010 => 110010101
110101101 => 010101101 => 101101010 => 010010101
110101110 => 010101110 => 011101010 => 100010101
110101111 => 010101111 => 111101010 => 000010101
110110000 => 010110000 => 000011010 => 111100101
110110001 => 010110001 => 100011010 => 011100101
110110010 => 010110010 => 010011010 => 101100101
110110011 => 010110011 => 110011010 => 001100101
110110100 => 010110100 => 001011010 => 110100101
110110101 => 010110101 => 101011010 => 010100101
110110110 => 010110110 => 011011010 => 100100101
110110111 => 010110111 => 111011010 => 000100101
110111000 => 010111000 => 000111010 => 111000101
110111001 => 010111001 => 100111010 => 011000101
110111010 => 010111010 => 010111010 => 101000101
110111011 => 010111011 => 110111010 => 001000101
110111100 => 010111100 => 001111010 => 110000101
110111101 => 010111101 => 101111010 => 010000101
110111110 => 010111110 => 011111010 => 100000101
110111111 => 010111111 => 111111010 => 000000101
111000000 => 011000000 => 000000110 => 111111001
111000001 => 011000001 => 100000110 => 011111001
111000010 => 011000010 => 010000110 => 101111001
111000011 => 011000011 => 110000110 => 001111001
111000100 => 011000100 => 001000110 => 110111001
111000101 => 011000101 => 101000110 => 010111001
111000110 => 011000110 => 011000110 => 100111001
111000111 => 011000111 => 111000110 => 000111001
111001000 => 011001000 => 000100110 => 111011001
111001001 => 011001001 => 100100110 => 011011001
111001010 => 011001010 => 010100110 => 101011001
111001011 => 011001011 => 110100110 => 001011001
111001100 => 011001100 => 001100110 => 110011001
111001101 => 011001101 => 101100110 => 010011001
111001110 => 011001110 => 011100110 => 100011001
111001111 => 011001111 => 111100110 => 000011001
111010000 => 011010000 => 000010110 => 111101001
111010001 => 011010001 => 100010110 => 011101001
111010010 => 011010010 => 010010110 => 101101001
111010011 => 011010011 => 110010110 => 001101001
111010100 => 011010100 => 001010110 => 110101001
111010101 => 011010101 => 101010110 => 010101001
111010110 => 011010110 => 011010110 => 100101001
111010111 => 011010111 => 111010110 => 000101001
111011000 => 011011000 => 000110110 => 111001001
111011001 => 011011001 => 100110110 => 011001001
111011010 => 011011010 => 010110110 => 101001001
111011011 => 011011011 => 110110110 => 001001001
111011100 => 011011100 => 001110110 => 110001001
111011101 => 011011101 => 101110110 => 010001001
111011110 => 011011110 => 011110110 => 100001001
111011111 => 011011111 => 111110110 => 000001001
111100000 => 011100000 => 000001110 => 111110001
111100001 => 011100001 => 100001110 => 011110001
111100010 => 011100010 => 010001110 => 101110001
111100011 => 011100011 => 110001110 => 001110001
111100100 => 011100100 => 001001110 => 110110001
111100101 => 011100101 => 101001110 => 010110001
111100110 => 011100110 => 011001110 => 100110001
111100111 => 011100111 => 111001110 => 000110001
111101000 => 011101000 => 000101110 => 111010001
111101001 => 011101001 => 100101110 => 011010001
111101010 => 011101010 => 010101110 => 101010001
111101011 => 011101011 => 110101110 => 001010001
111101100 => 011101100 => 001101110 => 110010001
111101101 => 011101101 => 101101110 => 010010001
111101110 => 011101110 => 011101110 => 100010001
111101111 => 011101111 => 111101110 => 000010001
111110000 => 011110000 => 000011110 => 111100001
111110001 => 011110001 => 100011110 => 011100001
111110010 => 011110010 => 010011110 => 101100001
111110011 => 011110011 => 110011110 => 001100001
111110100 => 011110100 => 001011110 => 110100001
111110101 => 011110101 => 101011110 => 010100001
111110110 => 011110110 => 011011110 => 100100001
111110111 => 011110111 => 111011110 => 000100001
111111000 => 011111000 => 000111110 => 111000001
111111001 => 011111001 => 100111110 => 011000001
111111010 => 011111010 => 010111110 => 101000001
111111011 => 011111011 => 110111110 => 001000001
111111100 => 011111100 => 001111110 => 110000001
111111101 => 011111101 => 101111110 => 010000001
111111110 => 011111110 => 011111110 => 100000001
111111111 => 011111111 => 111111110 => 000000001
1010101010 => 0010101010 => 0101010100 => 1010101011
1010101100 => 0010101100 => 0011010100 => 1100101011
1010110010 => 0010110010 => 0100110100 => 1011001011
1010110100 => 0010110100 => 0010110100 => 1101001011
1010111000 => 0010111000 => 0001110100 => 1110001011
1011001010 => 0011001010 => 0101001100 => 1010110011
1011001100 => 0011001100 => 0011001100 => 1100110011
1011010010 => 0011010010 => 0100101100 => 1011010011
1011010100 => 0011010100 => 0010101100 => 1101010011
1011011000 => 0011011000 => 0001101100 => 1110010011
1011100010 => 0011100010 => 0100011100 => 1011100011
1011100100 => 0011100100 => 0010011100 => 1101100011
1011101000 => 0011101000 => 0001011100 => 1110100011
1011110000 => 0011110000 => 0000111100 => 1111000011
1100101010 => 0100101010 => 0101010010 => 1010101101
1100101100 => 0100101100 => 0011010010 => 1100101101
1100110010 => 0100110010 => 0100110010 => 1011001101
1100110100 => 0100110100 => 0010110010 => 1101001101
1100111000 => 0100111000 => 0001110010 => 1110001101
1101001010 => 0101001010 => 0101001010 => 1010110101
1101001100 => 0101001100 => 0011001010 => 1100110101
1101010010 => 0101010010 => 0100101010 => 1011010101
1101010100 => 0101010100 => 0010101010 => 1101010101
1101011000 => 0101011000 => 0001101010 => 1110010101
1101100010 => 0101100010 => 0100011010 => 1011100101
1101100100 => 0101100100 => 0010011010 => 1101100101
1101101000 => 0101101000 => 0001011010 => 1110100101
1101110000 => 0101110000 => 0000111010 => 1111000101
1110001010 => 0110001010 => 0101000110 => 1010111001
1110001100 => 0110001100 => 0011000110 => 1100111001
1110010010 => 0110010010 => 0100100110 => 1011011001
1110010100 => 0110010100 => 0010100110 => 1101011001
1110011000 => 0110011000 => 0001100110 => 1110011001
1110100010 => 0110100010 => 0100010110 => 1011101001
1110100100 => 0110100100 => 0010010110 => 1101101001
1110101000 => 0110101000 => 0001010110 => 1110101001
1110110000 => 0110110000 => 0000110110 => 1111001001
1111000010 => 0111000010 => 0100001110 => 1011110001
1111000100 => 0111000100 => 0010001110 => 1101110001
1111001000 => 0111001000 => 0001001110 => 1110110001
1111010000 => 0111010000 => 0000101110 => 1111010001
1111100000 => 0111100000 => 0000011110 => 1111100001
101010101010 => 001010101010 => 010101010100 => 101010101011
101010101100 => 001010101100 => 001101010100 => 110010101011
101010110010 => 001010110010 => 010011010100 => 101100101011
101010110100 => 001010110100 => 001011010100 => 110100101011
101010111000 => 001010111000 => 000111010100 => 111000101011
101011001010 => 001011001010 => 010100110100 => 101011001011
101011001100 => 001011001100 => 001100110100 => 110011001011
101011010010 => 001011010010 => 010010110100 => 101101001011
101011010100 => 001011010100 => 001010110100 => 110101001011
101011011000 => 001011011000 => 000110110100 => 111001001011
101011100010 => 001011100010 => 010001110100 => 101110001011
101011100100 => 001011100100 => 001001110100 => 110110001011
101011101000 => 001011101000 => 000101110100 => 111010001011
101011110000 => 001011110000 => 000011110100 => 111100001011
101100101010 => 001100101010 => 010101001100 => 101010110011
101100101100 => 001100101100 => 001101001100 => 110010110011
101100110010 => 001100110010 => 010011001100 => 101100110011
101100110100 => 001100110100 => 001011001100 => 110100110011
101100111000 => 001100111000 => 000111001100 => 111000110011
101101001010 => 001101001010 => 010100101100 => 101011010011
101101001100 => 001101001100 => 001100101100 => 110011010011
101101010010 => 001101010010 => 010010101100 => 101101010011
101101010100 => 001101010100 => 001010101100 => 110101010011
101101011000 => 001101011000 => 000110101100 => 111001010011
101101100010 => 001101100010 => 010001101100 => 101110010011
101101100100 => 001101100100 => 001001101100 => 110110010011
101101101000 => 001101101000 => 000101101100 => 111010010011
101101110000 => 001101110000 => 000011101100 => 111100010011
101110001010 => 001110001010 => 010100011100 => 101011100011
101110001100 => 001110001100 => 001100011100 => 110011100011
101110010010 => 001110010010 => 010010011100 => 101101100011
101110010100 => 001110010100 => 001010011100 => 110101100011
101110011000 => 001110011000 => 000110011100 => 111001100011
101110100010 => 001110100010 => 010001011100 => 101110100011
101110100100 => 001110100100 => 001001011100 => 110110100011
101110101000 => 001110101000 => 000101011100 => 111010100011
101110110000 => 001110110000 => 000011011100 => 111100100011
101111000010 => 001111000010 => 010000111100 => 101111000011
101111000100 => 001111000100 => 001000111100 => 110111000011
101111001000 => 001111001000 => 000100111100 => 111011000011
101111010000 => 001111010000 => 000010111100 => 111101000011
101111100000 => 001111100000 => 000001111100 => 111110000011
110010101010 => 010010101010 => 010101010010 => 101010101101
110010101100 => 010010101100 => 001101010010 => 110010101101
110010110010 => 010010110010 => 010011010010 => 101100101101
110010110100 => 010010110100 => 001011010010 => 110100101101
110010111000 => 010010111000 => 000111010010 => 111000101101
110011001010 => 010011001010 => 010100110010 => 101011001101
110011001100 => 010011001100 => 001100110010 => 110011001101
110011010010 => 010011010010 => 010010110010 => 101101001101
110011010100 => 010011010100 => 001010110010 => 110101001101
110011011000 => 010011011000 => 000110110010 => 111001001101
110011100010 => 010011100010 => 010001110010 => 101110001101
110011100100 => 010011100100 => 001001110010 => 110110001101
110011101000 => 010011101000 => 000101110010 => 111010001101
110011110000 => 010011110000 => 000011110010 => 111100001101
110100101010 => 010100101010 => 010101001010 => 101010110101
110100101100 => 010100101100 => 001101001010 => 110010110101
110100110010 => 010100110010 => 010011001010 => 101100110101
110100110100 => 010100110100 => 001011001010 => 110100110101
110100111000 => 010100111000 => 000111001010 => 111000110101
110101001010 => 010101001010 => 010100101010 => 101011010101
110101001100 => 010101001100 => 001100101010 => 110011010101
110101010010 => 010101010010 => 010010101010 => 101101010101
110101010100 => 010101010100 => 001010101010 => 110101010101
110101011000 => 010101011000 => 000110101010 => 111001010101
110101100010 => 010101100010 => 010001101010 => 101110010101
110101100100 => 010101100100 => 001001101010 => 110110010101
110101101000 => 010101101000 => 000101101010 => 111010010101
110101110000 => 010101110000 => 000011101010 => 111100010101
110110001010 => 010110001010 => 010100011010 => 101011100101
110110001100 => 010110001100 => 001100011010 => 110011100101
110110010010 => 010110010010 => 010010011010 => 101101100101
110110010100 => 010110010100 => 001010011010 => 110101100101
110110011000 => 010110011000 => 000110011010 => 111001100101
110110100010 => 010110100010 => 010001011010 => 101110100101
110110100100 => 010110100100 => 001001011010 => 110110100101
110110101000 => 010110101000 => 000101011010 => 111010100101
110110110000 => 010110110000 => 000011011010 => 111100100101
110111000010 => 010111000010 => 010000111010 => 101111000101
110111000100 => 010111000100 => 001000111010 => 110111000101
110111001000 => 010111001000 => 000100111010 => 111011000101
110111010000 => 010111010000 => 000010111010 => 111101000101
110111100000 => 010111100000 => 000001111010 => 111110000101
111000101010 => 011000101010 => 010101000110 => 101010111001
111000101100 => 011000101100 => 001101000110 => 110010111001
111000110010 => 011000110010 => 010011000110 => 101100111001
111000110100 => 011000110100 => 001011000110 => 110100111001
111000111000 => 011000111000 => 000111000110 => 111000111001
111001001010 => 011001001010 => 010100100110 => 101011011001
111001001100 => 011001001100 => 001100100110 => 110011011001
111001010010 => 011001010010 => 010010100110 => 101101011001
111001010100 => 011001010100 => 001010100110 => 110101011001
111001011000 => 011001011000 => 000110100110 => 111001011001
111001100010 => 011001100010 => 010001100110 => 101110011001
111001100100 => 011001100100 => 001001100110 => 110110011001
111001101000 => 011001101000 => 000101100110 => 111010011001
111001110000 => 011001110000 => 000011100110 => 111100011001
111010001010 => 011010001010 => 010100010110 => 101011101001
111010001100 => 011010001100 => 001100010110 => 110011101001
111010010010 => 011010010010 => 010010010110 => 101101101001
111010010100 => 011010010100 => 001010010110 => 110101101001
111010011000 => 011010011000 => 000110010110 => 111001101001
111010100010 => 011010100010 => 010001010110 => 101110101001
111010100100 => 011010100100 => 001001010110 => 110110101001
111010101000 => 011010101000 => 000101010110 => 111010101001
111010110000 => 011010110000 => 000011010110 => 111100101001
111011000010 => 011011000010 => 010000110110 => 101111001001
111011000100 => 011011000100 => 001000110110 => 110111001001
111011001000 => 011011001000 => 000100110110 => 111011001001
111011010000 => 011011010000 => 000010110110 => 111101001001
111011100000 => 011011100000 => 000001110110 => 111110001001
111100001010 => 011100001010 => 010100001110 => 101011110001
111100001100 => 011100001100 => 001100001110 => 110011110001
111100010010 => 011100010010 => 010010001110 => 101101110001
111100010100 => 011100010100 => 001010001110 => 110101110001
111100011000 => 011100011000 => 000110001110 => 111001110001
111100100010 => 011100100010 => 010001001110 => 101110110001
111100100100 => 011100100100 => 001001001110 => 110110110001
111100101000 => 011100101000 => 000101001110 => 111010110001
111100110000 => 011100110000 => 000011001110 => 111100110001
111101000010 => 011101000010 => 010000101110 => 101111010001
111101000100 => 011101000100 => 001000101110 => 110111010001
111101001000 => 011101001000 => 000100101110 => 111011010001
111101010000 => 011101010000 => 000010101110 => 111101010001
111101100000 => 011101100000 => 000001101110 => 111110010001
111110000010 => 011110000010 => 010000011110 => 101111100001
111110000100 => 011110000100 => 001000011110 => 110111100001
111110001000 => 011110001000 => 000100011110 => 111011100001
111110010000 => 011110010000 => 000010011110 => 111101100001
111110100000 => 011110100000 => 000001011110 => 111110100001
111111000000 => 011111000000 => 000000111110 => 111111000001
1111111111 => 0111111111 => 1111111110 => 0000000001
1111111110 => 0111111110 => 0111111110 => 1000000001
1111111101 => 0111111101 => 1011111110 => 0100000001
1111111010 => 0111111010 => 0101111110 => 1010000001
1111111001 => 0111111001 => 1001111110 => 0110000001
1111110110 => 0111110110 => 0110111110 => 1001000001
1111110101 => 0111110101 => 1010111110 => 0101000001
1111110010 => 0111110010 => 0100111110 => 1011000001
1111110000 => 0111110000 => 0000111110 => 1111000001
1111101101 => 0111101101 => 1011011110 => 0100100001
1111101011 => 0111101011 => 1101011110 => 0010100001
1111101000 => 0111101000 => 0001011110 => 1110100001
1111100111 => 0111100111 => 1110011110 => 0001100001
1111100100 => 0111100100 => 0010011110 => 1101100001
1111100011 => 0111100011 => 1100011110 => 0011100001
1111100010 => 0111100010 => 0100011110 => 1011100001
1111100001 => 0111100001 => 1000011110 => 0111100001
1111011101 => 0111011101 => 1011101110 => 0100010001
1111011011 => 0111011011 => 1101101110 => 0010010001
1111011000 => 0111011000 => 0001101110 => 1110010001
1111010111 => 0111010111 => 1110101110 => 0001010001
1111010101 => 0111010101 => 1010101110 => 0101010001
1111010100 => 0111010100 => 0010101110 => 1101010001
1111010011 => 0111010011 => 1100101110 => 0011010001
1111010010 => 0111010010 => 0100101110 => 1011010001
1111010001 => 0111010001 => 1000101110 => 0111010001
1111001100 => 0111001100 => 0011001110 => 1100110001
1111001011 => 0111001011 => 1101001110 => 0010110001
1111001010 => 0111001010 => 0101001110 => 1010110001
1111001001 => 0111001001 => 1001001110 => 0110110001
1111000111 => 0111000111 => 1110001110 => 0001110001
1111000110 => 0111000110 => 0110001110 => 1001110001
1111000101 => 0111000101 => 1010001110 => 0101110001
1111000011 => 0111000011 => 1100001110 => 0011110001
1111000001 => 0111000001 => 1000001110 => 0111110001
1111000000 => 0111000000 => 0000001110 => 1111110001
1110111111 => 0110111111 => 1111110110 => 0000001001
1110111101 => 0110111101 => 1011110110 => 0100001001
1110111100 => 0110111100 => 0011110110 => 1100001001
1110111011 => 0110111011 => 1101110110 => 0010001001
1110111000 => 0110111000 => 0001110110 => 1110001001
1110110111 => 0110110111 => 1110110110 => 0001001001
1110110101 => 0110110101 => 1010110110 => 0101001001
1110110100 => 0110110100 => 0010110110 => 1101001001
1110110010 => 0110110010 => 0100110110 => 1011001001
1110110001 => 0110110001 => 1000110110 => 0111001001
1110101111 => 0110101111 => 1111010110 => 0000101001
1110101101 => 0110101101 => 1011010110 => 0100101001
1110101100 => 0110101100 => 0011010110 => 1100101001
1110101011 => 0110101011 => 1101010110 => 0010101001
1110101010 => 0110101010 => 0101010110 => 1010101001
1110101001 => 0110101001 => 1001010110 => 0110101001
1110100101 => 0110100101 => 1010010110 => 0101101001
1110100011 => 0110100011 => 1100010110 => 0011101001
1110100001 => 0110100001 => 1000010110 => 0111101001
1110011110 => 0110011110 => 0111100110 => 1000011001
1110011100 => 0110011100 => 0011100110 => 1100011001
1110011001 => 0110011001 => 1001100110 => 0110011001
1110010101 => 0110010101 => 1010100110 => 0101011001
1110010011 => 0110010011 => 1100100110 => 0011011001
1110010001 => 0110010001 => 1000100110 => 0111011001
1110001101 => 0110001101 => 1011000110 => 0100111001
1110001011 => 0110001011 => 1101000110 => 0010111001
1110001001 => 0110001001 => 1001000110 => 0110111001
1110000111 => 0110000111 => 1110000110 => 0001111001
1110000110 => 0110000110 => 0110000110 => 1001111001
1110000101 => 0110000101 => 1010000110 => 0101111001
1110000011 => 0110000011 => 1100000110 => 0011111001
1110000001 => 0110000001 => 1000000110 => 0111111001
1101111111 => 0101111111 => 1111111010 => 0000000101
1101111110 => 0101111110 => 0111111010 => 1000000101
1101111101 => 0101111101 => 1011111010 => 0100000101
1101111011 => 0101111011 => 1101111010 => 0010000101
1101111001 => 0101111001 => 1001111010 => 0110000101
1101111000 => 0101111000 => 0001111010 => 1110000101
1101110111 => 0101110111 => 1110111010 => 0001000101
1101110010 => 0101110010 => 0100111010 => 1011000101
1101110001 => 0101110001 => 1000111010 => 0111000101
1101101111 => 0101101111 => 1111011010 => 0000100101
1101101100 => 0101101100 => 0011011010 => 1100100101
1101101011 => 0101101011 => 1101011010 => 0010100101
1101101001 => 0101101001 => 1001011010 => 0110100101
1101100110 => 0101100110 => 0110011010 => 1001100101
1101100101 => 0101100101 => 1010011010 => 0101100101
1101100011 => 0101100011 => 1100011010 => 0011100101
1101100001 => 0101100001 => 1000011010 => 0111100101
1101100000 => 0101100000 => 0000011010 => 1111100101
1101011111 => 0101011111 => 1111101010 => 0000010101
1101011011 => 0101011011 => 1101101010 => 0010010101
1101011010 => 0101011010 => 0101101010 => 1010010101
1101011001 => 0101011001 => 1001101010 => 0110010101
1101010111 => 0101010111 => 1110101010 => 0001010101
1101010101 => 0101010101 => 1010101010 => 0101010101
1101010011 => 0101010011 => 1100101010 => 0011010101
1101010001 => 0101010001 => 1000101010 => 0111010101
1101001111 => 0101001111 => 1111001010 => 0000110101
1101001110 => 0101001110 => 0111001010 => 1000110101
1101001101 => 0101001101 => 1011001010 => 0100110101
1101001011 => 0101001011 => 1101001010 => 0010110101
1101001001 => 0101001001 => 1001001010 => 0110110101
1101001000 => 0101001000 => 0001001010 => 1110110101
1101000111 => 0101000111 => 1110001010 => 0001110101
1101000110 => 0101000110 => 0110001010 => 1001110101
1101000101 => 0101000101 => 1010001010 => 0101110101
1101000011 => 0101000011 => 1100001010 => 0011110101
1100111111 => 0100111111 => 1111110010 => 0000001101
1100111100 => 0100111100 => 0011110010 => 1100001101
1100111001 => 0100111001 => 1001110010 => 0110001101
1100110110 => 0100110110 => 0110110010 => 1001001101
1100110101 => 0100110101 => 1010110010 => 0101001101
1100110011 => 0100110011 => 1100110010 => 0011001101
1100110001 => 0100110001 => 1000110010 => 0111001101
1100101110 => 0100101110 => 0111010010 => 1000101101
1100101101 => 0100101101 => 1011010010 => 0100101101
1100101011 => 0100101011 => 1101010010 => 0010101101
1100101001 => 0100101001 => 1001010010 => 0110101101
1100100110 => 0100100110 => 0110010010 => 1001101101
1100100101 => 0100100101 => 1010010010 => 0101101101
1100100011 => 0100100011 => 1100010010 => 0011101101
1100100001 => 0100100001 => 1000010010 => 0111101101
1100011110 => 0100011110 => 0111100010 => 1000011101
1100011101 => 0100011101 => 1011100010 => 0100011101
1100011011 => 0100011011 => 1101100010 => 0010011101
1100011001 => 0100011001 => 1001100010 => 0110011101
1100011000 => 0100011000 => 0001100010 => 1110011101
1100010101 => 0100010101 => 1010100010 => 0101011101
1100010011 => 0100010011 => 1100100010 => 0011011101
1100001111 => 0100001111 => 1111000010 => 0000111101
1100001110 => 0100001110 => 0111000010 => 1000111101
1100001101 => 0100001101 => 1011000010 => 0100111101
1100001011 => 0100001011 => 1101000010 => 0010111101
1100001000 => 0100001000 => 0001000010 => 1110111101
1100000111 => 0100000111 => 1110000010 => 0001111101
1100000010 => 0100000010 => 0100000010 => 1011111101
1100000000 => 0100000000 => 0000000010 => 1111111101
1011111111 => 0011111111 => 1111111100 => 0000000011
1011111110 => 0011111110 => 0111111100 => 1000000011
1011111101 => 0011111101 => 1011111100 => 0100000011
1011111100 => 0011111100 => 0011111100 => 1100000011
1011111011 => 0011111011 => 1101111100 => 0010000011
1011111010 => 0011111010 => 0101111100 => 1010000011
1011111000 => 0011111000 => 0001111100 => 1110000011
1011110111 => 0011110111 => 1110111100 => 0001000011
1011110100 => 0011110100 => 0010111100 => 1101000011
1011110001 => 0011110001 => 1000111100 => 0111000011
1011101011 => 0011101011 => 1101011100 => 0010100011
1011101001 => 0011101001 => 1001011100 => 0110100011
1011100101 => 0011100101 => 1010011100 => 0101100011
1011100011 => 0011100011 => 1100011100 => 0011100011
1011100001 => 0011100001 => 1000011100 => 0111100011
1011011111 => 0011011111 => 1111101100 => 0000010011
1011011100 => 0011011100 => 0011101100 => 1100010011
1011011001 => 0011011001 => 1001101100 => 0110010011
1011010111 => 0011010111 => 1110101100 => 0001010011
1011010101 => 0011010101 => 1010101100 => 0101010011
1011010011 => 0011010011 => 1100101100 => 0011010011
1011010001 => 0011010001 => 1000101100 => 0111010011
1011001101 => 0011001101 => 1011001100 => 0100110011
1011001001 => 0011001001 => 1001001100 => 0110110011
1011000111 => 0011000111 => 1110001100 => 0001110011
1011000101 => 0011000101 => 1010001100 => 0101110011
1011000100 => 0011000100 => 0010001100 => 1101110011
1011000011 => 0011000011 => 1100001100 => 0011110011
1011000010 => 0011000010 => 0100001100 => 1011110011
1011000001 => 0011000001 => 1000001100 => 0111110011
1011000000 => 0011000000 => 0000001100 => 1111110011
1010111111 => 0010111111 => 1111110100 => 0000001011
1010111110 => 0010111110 => 0111110100 => 1000001011
1010111001 => 0010111001 => 1001110100 => 0110001011
1010110111 => 0010110111 => 1110110100 => 0001001011
1010110101 => 0010110101 => 1010110100 => 0101001011
1010110011 => 0010110011 => 1100110100 => 0011001011
1010110001 => 0010110001 => 1000110100 => 0111001011
1010110000 => 0010110000 => 0000110100 => 1111001011
1010101111 => 0010101111 => 1111010100 => 0000101011
1010101101 => 0010101101 => 1011010100 => 0100101011
1010101011 => 0010101011 => 1101010100 => 0010101011
1010101001 => 0010101001 => 1001010100 => 0110101011
1010101000 => 0010101000 => 0001010100 => 1110101011
1010100111 => 0010100111 => 1110010100 => 0001101011
1010100110 => 0010100110 => 0110010100 => 1001101011
1010100101 => 0010100101 => 1010010100 => 0101101011
1010100011 => 0010100011 => 1100010100 => 0011101011
1010100000 => 0010100000 => 0000010100 => 1111101011
1010011101 => 0010011101 => 1011100100 => 0100011011
1010011010 => 0010011010 => 0101100100 => 1010011011
1010011001 => 0010011001 => 1001100100 => 0110011011
1010011000 => 0010011000 => 0001100100 => 1110011011
1010010111 => 0010010111 => 1110100100 => 0001011011
1010010110 => 0010010110 => 0110100100 => 1001011011
1010010101 => 0010010101 => 1010100100 => 0101011011
1010010011 => 0010010011 => 1100100100 => 0011011011
1010010001 => 0010010001 => 1000100100 => 0111011011
1010001110 => 0010001110 => 0111000100 => 1000111011
1010001101 => 0010001101 => 1011000100 => 0100111011
1010001100 => 0010001100 => 0011000100 => 1100111011
1010001011 => 0010001011 => 1101000100 => 0010111011
1010000111 => 0010000111 => 1110000100 => 0001111011
1010000101 => 0010000101 => 1010000100 => 0101111011
1010000010 => 0010000010 => 0100000100 => 1011111011
1010000000 => 0010000000 => 0000000100 => 1111111011
1001111111 => 0001111111 => 1111111000 => 0000000111
1001111110 => 0001111110 => 0111111000 => 1000000111
1001111100 => 0001111100 => 0011111000 => 1100000111
1001111011 => 0001111011 => 1101111000 => 0010000111
1001111001 => 0001111001 => 1001111000 => 0110000111
1001111000 => 0001111000 => 0001111000 => 1110000111
1001110110 => 0001110110 => 0110111000 => 1001000111
1001110101 => 0001110101 => 1010111000 => 0101000111
1001110100 => 0001110100 => 0010111000 => 1101000111
1001110011 => 0001110011 => 1100111000 => 0011000111
1001110001 => 0001110001 => 1000111000 => 0111000111
1001101101 => 0001101101 => 1011011000 => 0100100111
1001101100 => 0001101100 => 0011011000 => 1100100111
1001101010 => 0001101010 => 0101011000 => 1010100111
1001101001 => 0001101001 => 1001011000 => 0110100111
1001100111 => 0001100111 => 1110011000 => 0001100111
1001100110 => 0001100110 => 0110011000 => 1001100111
1001100101 => 0001100101 => 1010011000 => 0101100111
1001100100 => 0001100100 => 0010011000 => 1101100111
1001100011 => 0001100011 => 1100011000 => 0011100111
1001100010 => 0001100010 => 0100011000 => 1011100111
1001100001 => 0001100001 => 1000011000 => 0111100111
1001011111 => 0001011111 => 1111101000 => 0000010111
1001011110 => 0001011110 => 0111101000 => 1000010111
1001011101 => 0001011101 => 1011101000 => 0100010111
1001011010 => 0001011010 => 0101101000 => 1010010111
1001011001 => 0001011001 => 1001101000 => 0110010111
1001011000 => 0001011000 => 0001101000 => 1110010111
1001010111 => 0001010111 => 1110101000 => 0001010111
1001010110 => 0001010110 => 0110101000 => 1001010111
1001010101 => 0001010101 => 1010101000 => 0101010111
1001010100 => 0001010100 => 0010101000 => 1101010111
1001010011 => 0001010011 => 1100101000 => 0011010111
1001010010 => 0001010010 => 0100101000 => 1011010111
1001001110 => 0001001110 => 0111001000 => 1000110111
1001001101 => 0001001101 => 1011001000 => 0100110111
1001001100 => 0001001100 => 0011001000 => 1100110111
1001001011 => 0001001011 => 1101001000 => 0010110111
1001001010 => 0001001010 => 0101001000 => 1010110111
1001000111 => 0001000111 => 1110001000 => 0001110111
1001000110 => 0001000110 => 0110001000 => 1001110111
1001000000 => 0001000000 => 0000001000 => 1111110111
1000111111 => 0000111111 => 1111110000 => 0000001111
1000111110 => 0000111110 => 0111110000 => 1000001111
1000111101 => 0000111101 => 1011110000 => 0100001111
1000111100 => 0000111100 => 0011110000 => 1100001111
1000111010 => 0000111010 => 0101110000 => 1010001111
1000111001 => 0000111001 => 1001110000 => 0110001111
1000110111 => 0000110111 => 1110110000 => 0001001111
1000110110 => 0000110110 => 0110110000 => 1001001111
1000110101 => 0000110101 => 1010110000 => 0101001111
1000110100 => 0000110100 => 0010110000 => 1101001111
1000110010 => 0000110010 => 0100110000 => 1011001111
1000110001 => 0000110001 => 1000110000 => 0111001111
1000110000 => 0000110000 => 0000110000 => 1111001111
1000101111 => 0000101111 => 1111010000 => 0000101111
1000101110 => 0000101110 => 0111010000 => 1000101111
1000101101 => 0000101101 => 1011010000 => 0100101111
1000101100 => 0000101100 => 0011010000 => 1100101111
1000101011 => 0000101011 => 1101010000 => 0010101111
1000100111 => 0000100111 => 1110010000 => 0001101111
1000100101 => 0000100101 => 1010010000 => 0101101111
1000100000 => 0000100000 => 0000010000 => 1111101111
1000011111 => 0000011111 => 1111100000 => 0000011111
1000011110 => 0000011110 => 0111100000 => 1000011111
1000011101 => 0000011101 => 1011100000 => 0100011111
1000011011 => 0000011011 => 1101100000 => 0010011111
1000011001 => 0000011001 => 1001100000 => 0110011111
1000011000 => 0000011000 => 0001100000 => 1110011111
1000010111 => 0000010111 => 1110100000 => 0001011111
1000010110 => 0000010110 => 0110100000 => 1001011111
1000010101 => 0000010101 => 1010100000 => 0101011111
1000010000 => 0000010000 => 0000100000 => 1111011111
1000001111 => 0000001111 => 1111000000 => 0000111111
1000001110 => 0000001110 => 0111000000 => 1000111111
1000001101 => 0000001101 => 1011000000 => 0100111111
1000001011 => 0000001011 => 1101000000 => 0010111111
1000001010 => 0000001010 => 0101000000 => 1010111111
1000001001 => 0000001001 => 1001000000 => 0110111111
1000000111 => 0000000111 => 1110000000 => 0001111111
1000000110 => 0000000110 => 0110000000 => 1001111111
1000000101 => 0000000101 => 1010000000 => 0101111111
1000000100 => 0000000100 => 0010000000 => 1101111111
1000000011 => 0000000011 => 1100000000 => 0011111111
1000000010 => 0000000010 => 0100000000 => 1011111111
1000000001 => 0000000001 => 1000000000 => 0111111111
1000000000 => 0000000000 => 0000000000 => 1111111111
10000000000 => 00000000000 => 00000000000 => 11111111111
10000000010 => 00000000010 => 01000000000 => 10111111111
10000000110 => 00000000110 => 01100000000 => 10011111111
10000001110 => 00000001110 => 01110000000 => 10001111111
10000011110 => 00000011110 => 01111000000 => 10000111111
10000111110 => 00000111110 => 01111100000 => 10000011111
10001111110 => 00001111110 => 01111110000 => 10000001111
10011111110 => 00011111110 => 01111111000 => 10000000111
10111111110 => 00111111110 => 01111111100 => 10000000011
11111111110 => 01111111110 => 01111111110 => 10000000001
10000000100 => 00000000100 => 00100000000 => 11011111111
10000001010 => 00000001010 => 01010000000 => 10101111111
10000010110 => 00000010110 => 01101000000 => 10010111111
10000101110 => 00000101110 => 01110100000 => 10001011111
100000111110 => 000000111110 => 011111000000 => 100000111111
10010111110 => 00010111110 => 01111101000 => 10000010111
10101111110 => 00101111110 => 01111110100 => 10000001011
100001011110 => 000001011110 => 011110100000 => 100001011111
10000010000 => 00000010000 => 00001000000 => 11110111111
10000100010 => 00000100010 => 01000100000 => 10111011111
100010011110 => 000010011110 => 011110010000 => 100001101111
100001101110 => 000001101110 => 011101100000 => 100010011111
11000111110 => 01000111110 => 01111100010 => 10000011101
10111011110 => 00111011110 => 01111011100 => 10000100011
10001000010 => 00001000010 => 01000010000 => 10111101111
10000100100 => 00000100100 => 00100100000 => 11011011111
10001001010 => 00001001010 => 01010010000 => 10101101111
100100011110 => 000100011110 => 011110001000 => 100001110111
100010101110 => 000010101110 => 011101010000 => 100010101111
100001110110 => 000001110110 => 011011100000 => 100100011111
10111101110 => 00111101110 => 01110111100 => 10001000011
10001000100 => 00001000100 => 00100010000 => 11011101111
10000101000 => 00000101000 => 00010100000 => 11101011111
10010001010 => 00010001010 => 01010001000 => 10101110111
10001010010 => 00001010010 => 01001010000 => 10110101111
101000011110 => 001000011110 => 011110000100 => 100001111011
100100101110 => 000100101110 => 011101001000 => 100010110111
100011001110 => 000011001110 => 011100110000 => 100011001111
100010110110 => 000010110110 => 011011010000 => 100100101111
100001111010 => 000001111010 => 010111100000 => 101000011111
100001000000 => 000001000000 => 000000100000 => 111111011111
10010000000 => 00010000000 => 00000001000 => 11111110111
10100000010 => 00100000010 => 01000000100 => 10111111011
10010000100 => 00010000100 => 00100001000 => 11011110111
10001001000 => 00001001000 => 00010010000 => 11101101111
10010010010 => 00010010010 => 01001001000 => 10110110111
10001010100 => 00001010100 => 00101010000 => 11010101111
110000011110 => 010000011110 => 011110000010 => 100001111101
101000101110 => 001000101110 => 011101000100 => 100010111011
10010101010 => 00010101010 => 01010101000 => 10101010111
100101001110 => 000101001110 => 011100101000 => 100011010111
100100110110 => 000100110110 => 011011001000 => 100100110111
100011010110 => 000011010110 => 011010110000 => 100101001111
100010111010 => 000010111010 => 010111010000 => 101000101111
100001111100 => 000001111100 => 001111100000 => 110000011111
10101010110 => 00101010110 => 01101010100 => 10010101011
10111111010 => 00111111010 => 01011111100 => 10100000011
10100000000 => 00100000000 => 00000000100 => 11111111011
11000000010 => 01000000010 => 01000000010 => 10111111101
10010001000 => 00010001000 => 00010001000 => 11101110111
10010100010 => 00010100010 => 01000101000 => 10111010111
10010010100 => 00010010100 => 00101001000 => 11010110111
101001001110 => 001001001110 => 011100100100 => 100011011011
101000110110 => 001000110110 => 011011000100 => 100100111011
100110001110 => 000110001110 => 011100011000 => 100011100111
100101010110 => 000101010110 => 011010101000 => 100101010111
100100111010 => 000100111010 => 010111001000 => 101000110111
100011100110 => 000011100110 => 011001110000 => 100110001111
100011011010 => 000011011010 => 010110110000 => 101001001111
10101011010 => 00101011010 => 01011010100 => 10100101011
10111111100 => 00111111100 => 00111111100 => 11000000011
11111111010 => 01111111010 => 01011111110 => 10100000001
0111111111 => 1111111111 => 1111111111 => 0000000000
0111111101 => 1111111101 => 1011111111 => 0100000000
0111111001 => 1111111001 => 1001111111 => 0110000000
0111110001 => 1111110001 => 1000111111 => 0111000000
0111100001 => 1111100001 => 1000011111 => 0111100000
0111000001 => 1111000001 => 1000001111 => 0111110000
0110000001 => 1110000001 => 1000000111 => 0111111000
0100000001 => 1100000001 => 1000000011 => 0111111100
0000000001 => 1000000001 => 1000000001 => 0111111110
01111111111 => 11111111111 => 11111111111 => 00000000000
01111111101 => 11111111101 => 10111111111 => 01000000000
0111111011 => 1111111011 => 1101111111 => 0010000000
01111111001 => 11111111001 => 10011111111 => 01100000000
0111110101 => 1111110101 => 1010111111 => 0101000000
01111110001 => 11111110001 => 10001111111 => 01110000000
0111101001 => 1111101001 => 1001011111 => 0110100000
01111100001 => 11111100001 => 10000111111 => 01111000000
0111010001 => 1111010001 => 1000101111 => 0111010000
01111000001 => 11111000001 => 10000011111 => 01111100000
0110100001 => 1110100001 => 1000010111 => 0111101000
01110000001 => 11110000001 => 10000001111 => 01111110000
0101000001 => 1101000001 => 1000001011 => 0111110100
01100000001 => 11100000001 => 10000000111 => 01111111000
0010000001 => 1010000001 => 1000000101 => 0111111010
01000000001 => 11000000001 => 10000000011 => 01111111100
00000000001 => 10000000001 => 10000000001 => 01111111110
0101010101 => 1101010101 => 1010101011 => 0101010100
0101010011 => 1101010011 => 1100101011 => 0011010100
0101001101 => 1101001101 => 1011001011 => 0100110100
0101001011 => 1101001011 => 1101001011 => 0010110100
0101000111 => 1101000111 => 1110001011 => 0001110100
0100110101 => 1100110101 => 1010110011 => 0101001100
0100110011 => 1100110011 => 1100110011 => 0011001100
0100101101 => 1100101101 => 1011010011 => 0100101100
0100101011 => 1100101011 => 1101010011 => 0010101100
0100100111 => 1100100111 => 1110010011 => 0001101100
0100011101 => 1100011101 => 1011100011 => 0100011100
0100011011 => 1100011011 => 1101100011 => 0010011100
0100010111 => 1100010111 => 1110100011 => 0001011100
0100001111 => 1100001111 => 1111000011 => 0000111100
0011010101 => 1011010101 => 1010101101 => 0101010010
0011010011 => 1011010011 => 1100101101 => 0011010010
0011001101 => 1011001101 => 1011001101 => 0100110010
0011001011 => 1011001011 => 1101001101 => 0010110010
0011000111 => 1011000111 => 1110001101 => 0001110010
0010110101 => 1010110101 => 1010110101 => 0101001010
0010110011 => 1010110011 => 1100110101 => 0011001010
0010101101 => 1010101101 => 1011010101 => 0100101010
0010101011 => 1010101011 => 1101010101 => 0010101010
0010100111 => 1010100111 => 1110010101 => 0001101010
0010011101 => 1010011101 => 1011100101 => 0100011010
0010011011 => 1010011011 => 1101100101 => 0010011010
0010010111 => 1010010111 => 1110100101 => 0001011010
0010001111 => 1010001111 => 1111000101 => 0000111010
0001110101 => 1001110101 => 1010111001 => 0101000110
0001110011 => 1001110011 => 1100111001 => 0011000110
0001101101 => 1001101101 => 1011011001 => 0100100110
0001101011 => 1001101011 => 1101011001 => 0010100110
0001100111 => 1001100111 => 1110011001 => 0001100110
0001011101 => 1001011101 => 1011101001 => 0100010110
0001011011 => 1001011011 => 1101101001 => 0010010110
0001010111 => 1001010111 => 1110101001 => 0001010110
0001001111 => 1001001111 => 1111001001 => 0000110110
0000111101 => 1000111101 => 1011110001 => 0100001110
0000111011 => 1000111011 => 1101110001 => 0010001110
0000110111 => 1000110111 => 1110110001 => 0001001110
0000101111 => 1000101111 => 1111010001 => 0000101110
0000011111 => 1000011111 => 1111100001 => 0000011110
010101010101 => 110101010101 => 101010101011 => 010101010100
010101010011 => 110101010011 => 110010101011 => 001101010100
010101001101 => 110101001101 => 101100101011 => 010011010100
010101001011 => 110101001011 => 110100101011 => 001011010100
010101000111 => 110101000111 => 111000101011 => 000111010100
010100110101 => 110100110101 => 101011001011 => 010100110100
010100110011 => 110100110011 => 110011001011 => 001100110100
010100101101 => 110100101101 => 101101001011 => 010010110100
010100101011 => 110100101011 => 110101001011 => 001010110100
010100100111 => 110100100111 => 111001001011 => 000110110100
010100011101 => 110100011101 => 101110001011 => 010001110100
010100011011 => 110100011011 => 110110001011 => 001001110100
010100010111 => 110100010111 => 111010001011 => 000101110100
010100001111 => 110100001111 => 111100001011 => 000011110100
010011010101 => 110011010101 => 101010110011 => 010101001100
010011010011 => 110011010011 => 110010110011 => 001101001100
010011001101 => 110011001101 => 101100110011 => 010011001100
010011001011 => 110011001011 => 110100110011 => 001011001100
010011000111 => 110011000111 => 111000110011 => 000111001100
010010110101 => 110010110101 => 101011010011 => 010100101100
010010110011 => 110010110011 => 110011010011 => 001100101100
010010101101 => 110010101101 => 101101010011 => 010010101100
010010101011 => 110010101011 => 110101010011 => 001010101100
010010100111 => 110010100111 => 111001010011 => 000110101100
010010011101 => 110010011101 => 101110010011 => 010001101100
010010011011 => 110010011011 => 110110010011 => 001001101100
010010010111 => 110010010111 => 111010010011 => 000101101100
010010001111 => 110010001111 => 111100010011 => 000011101100
010001110101 => 110001110101 => 101011100011 => 010100011100
010001110011 => 110001110011 => 110011100011 => 001100011100
010001101101 => 110001101101 => 101101100011 => 010010011100
010001101011 => 110001101011 => 110101100011 => 001010011100
010001100111 => 110001100111 => 111001100011 => 000110011100
010001011101 => 110001011101 => 101110100011 => 010001011100
010001011011 => 110001011011 => 110110100011 => 001001011100
010001010111 => 110001010111 => 111010100011 => 000101011100
010001001111 => 110001001111 => 111100100011 => 000011011100
010000111101 => 110000111101 => 101111000011 => 010000111100
010000111011 => 110000111011 => 110111000011 => 001000111100
010000110111 => 110000110111 => 111011000011 => 000100111100
010000101111 => 110000101111 => 111101000011 => 000010111100
010000011111 => 110000011111 => 111110000011 => 000001111100
001101010101 => 101101010101 => 101010101101 => 010101010010
001101010011 => 101101010011 => 110010101101 => 001101010010
001101001101 => 101101001101 => 101100101101 => 010011010010
001101001011 => 101101001011 => 110100101101 => 001011010010
001101000111 => 101101000111 => 111000101101 => 000111010010
001100110101 => 101100110101 => 101011001101 => 010100110010
001100110011 => 101100110011 => 110011001101 => 001100110010
001100101101 => 101100101101 => 101101001101 => 010010110010
001100101011 => 101100101011 => 110101001101 => 001010110010
001100100111 => 101100100111 => 111001001101 => 000110110010
001100011101 => 101100011101 => 101110001101 => 010001110010
001100011011 => 101100011011 => 110110001101 => 001001110010
001100010111 => 101100010111 => 111010001101 => 000101110010
001100001111 => 101100001111 => 111100001101 => 000011110010
001011010101 => 101011010101 => 101010110101 => 010101001010
001011010011 => 101011010011 => 110010110101 => 001101001010
001011001101 => 101011001101 => 101100110101 => 010011001010
001011001011 => 101011001011 => 110100110101 => 001011001010
001011000111 => 101011000111 => 111000110101 => 000111001010
001010110101 => 101010110101 => 101011010101 => 010100101010
001010110011 => 101010110011 => 110011010101 => 001100101010
001010101101 => 101010101101 => 101101010101 => 010010101010
001010101011 => 101010101011 => 110101010101 => 001010101010
001010100111 => 101010100111 => 111001010101 => 000110101010
001010011101 => 101010011101 => 101110010101 => 010001101010
001010011011 => 101010011011 => 110110010101 => 001001101010
001010010111 => 101010010111 => 111010010101 => 000101101010
001010001111 => 101010001111 => 111100010101 => 000011101010
001001110101 => 101001110101 => 101011100101 => 010100011010
001001110011 => 101001110011 => 110011100101 => 001100011010
001001101101 => 101001101101 => 101101100101 => 010010011010
001001101011 => 101001101011 => 110101100101 => 001010011010
001001100111 => 101001100111 => 111001100101 => 000110011010
001001011101 => 101001011101 => 101110100101 => 010001011010
001001011011 => 101001011011 => 110110100101 => 001001011010
001001010111 => 101001010111 => 111010100101 => 000101011010
001001001111 => 101001001111 => 111100100101 => 000011011010
001000111101 => 101000111101 => 101111000101 => 010000111010
001000111011 => 101000111011 => 110111000101 => 001000111010
001000110111 => 101000110111 => 111011000101 => 000100111010
001000101111 => 101000101111 => 111101000101 => 000010111010
001000011111 => 101000011111 => 111110000101 => 000001111010
000111010101 => 100111010101 => 101010111001 => 010101000110
000111010011 => 100111010011 => 110010111001 => 001101000110
000111001101 => 100111001101 => 101100111001 => 010011000110
000111001011 => 100111001011 => 110100111001 => 001011000110
000111000111 => 100111000111 => 111000111001 => 000111000110
000110110101 => 100110110101 => 101011011001 => 010100100110
000110110011 => 100110110011 => 110011011001 => 001100100110
000110101101 => 100110101101 => 101101011001 => 010010100110
000110101011 => 100110101011 => 110101011001 => 001010100110
000110100111 => 100110100111 => 111001011001 => 000110100110
000110011101 => 100110011101 => 101110011001 => 010001100110
000110011011 => 100110011011 => 110110011001 => 001001100110
000110010111 => 100110010111 => 111010011001 => 000101100110
000110001111 => 100110001111 => 111100011001 => 000011100110
000101110101 => 100101110101 => 101011101001 => 010100010110
000101110011 => 100101110011 => 110011101001 => 001100010110
000101101101 => 100101101101 => 101101101001 => 010010010110
000101101011 => 100101101011 => 110101101001 => 001010010110
000101100111 => 100101100111 => 111001101001 => 000110010110
000101011101 => 100101011101 => 101110101001 => 010001010110
000101011011 => 100101011011 => 110110101001 => 001001010110
000101010111 => 100101010111 => 111010101001 => 000101010110
000101001111 => 100101001111 => 111100101001 => 000011010110
000100111101 => 100100111101 => 101111001001 => 010000110110
000100111011 => 100100111011 => 110111001001 => 001000110110
000100110111 => 100100110111 => 111011001001 => 000100110110
000100101111 => 100100101111 => 111101001001 => 000010110110
000100011111 => 100100011111 => 111110001001 => 000001110110
000011110101 => 100011110101 => 101011110001 => 010100001110
000011110011 => 100011110011 => 110011110001 => 001100001110
000011101101 => 100011101101 => 101101110001 => 010010001110
000011101011 => 100011101011 => 110101110001 => 001010001110
000011100111 => 100011100111 => 111001110001 => 000110001110
000011011101 => 100011011101 => 101110110001 => 010001001110
000011011011 => 100011011011 => 110110110001 => 001001001110
000011010111 => 100011010111 => 111010110001 => 000101001110
000011001111 => 100011001111 => 111100110001 => 000011001110
000010111101 => 100010111101 => 101111010001 => 010000101110
000010111011 => 100010111011 => 110111010001 => 001000101110
000010110111 => 100010110111 => 111011010001 => 000100101110
000010101111 => 100010101111 => 111101010001 => 000010101110
000010011111 => 100010011111 => 111110010001 => 000001101110
000001111101 => 100001111101 => 101111100001 => 010000011110
000001111011 => 100001111011 => 110111100001 => 001000011110
000001110111 => 100001110111 => 111011100001 => 000100011110
000001101111 => 100001101111 => 111101100001 => 000010011110
000001011111 => 100001011111 => 111110100001 => 000001011110
000000111111 => 100000111111 => 111111000001 => 000000111110
11010101010 => 01010101010 => 01010101010 => 10101010101
11010101000 => 01010101000 => 00010101010 => 11101010101
10101010100 => 00101010100 => 00101010100 => 11010101011
111111111111 => 011111111111 => 111111111110 => 000000000001
111111100001 => 011111100001 => 100001111110 => 011110000001
111110011001 => 011110011001 => 100110011110 => 011001100001
111110000111 => 011110000111 => 111000011110 => 000111100001
111110000001 => 011110000001 => 100000011110 => 011111100001
111110001101 => 011110001101 => 101100011110 => 010011100001
111110110111 => 011110110111 => 111011011110 => 000100100001
111110110001 => 011110110001 => 100011011110 => 011100100001
111110111101 => 011110111101 => 101111011110 => 010000100001
111110100101 => 011110100101 => 101001011110 => 010110100001
111001100111 => 011001100111 => 111001100110 => 000110011001
111000011001 => 011000011001 => 100110000110 => 011001111001
111000000111 => 011000000111 => 111000000110 => 000111111001
111000001101 => 011000001101 => 101100000110 => 010011111001
111000110111 => 011000110111 => 111011000110 => 000100111001
111000110001 => 011000110001 => 100011000110 => 011100111001
111000100101 => 011000100101 => 101001000110 => 010110111001
111011011111 => 011011011111 => 111110110110 => 000001001001
111011000111 => 011011000111 => 111000110110 => 000111001001
111011110111 => 011011110111 => 111011110110 => 000100001001
111010010001 => 011010010001 => 100010010110 => 011101101001
111010000101 => 011010000101 => 101000010110 => 010111101001
111010110101 => 011010110101 => 101011010110 => 010100101001
100111111001 => 000111111001 => 100111111000 => 011000000111
100110011111 => 000110011111 => 111110011000 => 000001100111
100110011001 => 000110011001 => 100110011000 => 011001100111
100110000111 => 000110000111 => 111000011000 => 000111100111
100110001101 => 000110001101 => 101100011000 => 010011100111
100110110111 => 000110110111 => 111011011000 => 000100100111
100110110001 => 000110110001 => 100011011000 => 011100100111
100110100101 => 000110100101 => 101001011000 => 010110100111
100001111111 => 000001111111 => 111111100000 => 000000011111
100001111001 => 000001111001 => 100111100000 => 011000011111
100001101101 => 000001101101 => 101101100000 => 010010011111
100000011111 => 000000011111 => 111110000000 => 000001111111
100000000001 => 000000000001 => 100000000000 => 011111111111
100000110111 => 000000110111 => 111011000000 => 000100111111
100000111101 => 000000111101 => 101111000000 => 010000111111
100011011111 => 000011011111 => 111110110000 => 000001001111
100011011001 => 000011011001 => 100110110000 => 011001001111
100011000111 => 000011000111 => 111000110000 => 000111001111
100011001101 => 000011001101 => 101100110000 => 010011001111
100011110111 => 000011110111 => 111011110000 => 000100001111
100011110001 => 000011110001 => 100011110000 => 011100001111
100011111101 => 000011111101 => 101111110000 => 010000001111
100011100101 => 000011100101 => 101001110000 => 010110001111
100010010111 => 000010010111 => 111010010000 => 000101101111
100010010001 => 000010010001 => 100010010000 => 011101101111
100010011101 => 000010011101 => 101110010000 => 010001101111
100010000101 => 000010000101 => 101000010000 => 010111101111
100010110101 => 000010110101 => 101011010000 => 010100101111
101101100111 => 001101100111 => 111001101100 => 000110010011
101101100001 => 001101100001 => 100001101100 => 011110010011
101100011111 => 001100011111 => 111110001100 => 000001110011
101100011001 => 001100011001 => 100110001100 => 011001110011
101100000111 => 001100000111 => 111000001100 => 000111110011
101100001101 => 001100001101 => 101100001100 => 010011110011
101100110111 => 001100110111 => 111011001100 => 000100110011
101100110001 => 001100110001 => 100011001100 => 011100110011
101100100101 => 001100100101 => 101001001100 => 010110110011
101111011111 => 001111011111 => 111110111100 => 000001000011
101111011001 => 001111011001 => 100110111100 => 011001000011
101111000111 => 001111000111 => 111000111100 => 000111000011
101111001101 => 001111001101 => 101100111100 => 010011000011
101111110001 => 001111110001 => 100011111100 => 011100000011
101111100101 => 001111100101 => 101001111100 => 010110000011
101110010001 => 001110010001 => 100010011100 => 011101100011
101110000101 => 001110000101 => 101000011100 => 010111100011
101001011111 => 001001011111 => 111110100100 => 000001011011
101001011001 => 001001011001 => 100110100100 => 011001011011
101001000111 => 001001000111 => 111000100100 => 000111011011
101001001101 => 001001001101 => 101100100100 => 010011011011
101001110111 => 001001110111 => 111011100100 => 000100011011
101001110001 => 001001110001 => 100011100100 => 011100011011
101001100101 => 001001100101 => 101001100100 => 010110011011
101000010111 => 001000010111 => 111010000100 => 000101111011
101000010001 => 001000010001 => 100010000100 => 011101111011
101000011101 => 001000011101 => 101110000100 => 010001111011
101000110101 => 001000110101 => 101011000100 => 010100111011
101011010111 => 001011010111 => 111010110100 => 000101001011
101011010001 => 001011010001 => 100010110100 => 011101001011
101011000101 => 001011000101 => 101000110100 => 010111001011
101010010101 => 001010010101 => 101010010100 => 010101101011
0000000000 => 1000000000 => 0000000001 => 1111111110
0000000110 => 1000000110 => 0110000001 => 1001111110
0000011110 => 1000011110 => 0111100001 => 1000011110
0000010010 => 1000010010 => 0100100001 => 1011011110
0001100000 => 1001100000 => 0000011001 => 1111100110
0001100110 => 1001100110 => 0110011001 => 1001100110
0001111000 => 1001111000 => 0001111001 => 1110000110
0001111110 => 1001111110 => 0111111001 => 1000000110
0001110010 => 1001110010 => 0100111001 => 1011000110
0001001000 => 1001001000 => 0001001001 => 1110110110
0001001110 => 1001001110 => 0111001001 => 1000110110
0001000010 => 1001000010 => 0100001001 => 1011110110
0001011010 => 1001011010 => 0101101001 => 1010010110
0110000000 => 1110000000 => 0000000111 => 1111111000
0110000110 => 1110000110 => 0110000111 => 1001111000
0110011000 => 1110011000 => 0001100111 => 1110011000
0110011110 => 1110011110 => 0111100111 => 1000011000
0110010010 => 1110010010 => 0100100111 => 1011011000
0111100000 => 1111100000 => 0000011111 => 1111100000
0111100110 => 1111100110 => 0110011111 => 1001100000
0111111000 => 1111111000 => 0001111111 => 1110000000
0111111110 => 1111111110 => 0111111111 => 1000000000
0111110010 => 1111110010 => 0100111111 => 1011000000
0111001000 => 1111001000 => 0001001111 => 1110110000
0111000010 => 1111000010 => 0100001111 => 1011110000
0111011010 => 1111011010 => 0101101111 => 1010010000
0100100000 => 1100100000 => 0000010011 => 1111101100
0100100110 => 1100100110 => 0110010011 => 1001101100
0100111000 => 1100111000 => 0001110011 => 1110001100
0100111110 => 1100111110 => 0111110011 => 1000001100
0100110010 => 1100110010 => 0100110011 => 1011001100
0100001000 => 1100001000 => 0001000011 => 1110111100
0100001110 => 1100001110 => 0111000011 => 1000111100
0100000010 => 1100000010 => 0100000011 => 1011111100
0100011010 => 1100011010 => 0101100011 => 1010011100
0101101000 => 1101101000 => 0001011011 => 1110100100
0101101110 => 1101101110 => 0111011011 => 1000100100
0101100010 => 1101100010 => 0100011011 => 1011100100
0101111010 => 1101111010 => 0101111011 => 1010000100
0101001010 => 1101001010 => 0101001011 => 1010110100
000000000000 => 100000000000 => 000000000001 => 111111111110
000001111110 => 100001111110 => 011111100001 => 100000011110
000001001000 => 100001001000 => 000100100001 => 111011011110
000001000010 => 100001000010 => 010000100001 => 101111011110
000110011000 => 100110011000 => 000110011001 => 111001100110
000110011110 => 100110011110 => 011110011001 => 100001100110
000110010010 => 100110010010 => 010010011001 => 101101100110
000111100000 => 100111100000 => 000001111001 => 111110000110
000111111000 => 100111111000 => 000111111001 => 111000000110
000111001000 => 100111001000 => 000100111001 => 111011000110
000111001110 => 100111001110 => 011100111001 => 100011000110
000111000010 => 100111000010 => 010000111001 => 101111000110
000100111000 => 100100111000 => 000111001001 => 111000110110
000100111110 => 100100111110 => 011111001001 => 100000110110
000100110010 => 100100110010 => 010011001001 => 101100110110
000100001000 => 100100001000 => 000100001001 => 111011110110
000101101000 => 100101101000 => 000101101001 => 111010010110
000101101110 => 100101101110 => 011101101001 => 100010010110
000101100010 => 100101100010 => 010001101001 => 101110010110
000101001010 => 100101001010 => 010100101001 => 101011010110
011000011110 => 111000011110 => 011110000111 => 100001111000
011000010010 => 111000010010 => 010010000111 => 101101111000
011001100110 => 111001100110 => 011001100111 => 100110011000
011001111000 => 111001111000 => 000111100111 => 111000011000
011001110010 => 111001110010 => 010011100111 => 101100011000
011001001000 => 111001001000 => 000100100111 => 111011011000
011001001110 => 111001001110 => 011100100111 => 100011011000
011001000010 => 111001000010 => 010000100111 => 101111011000
011001011010 => 111001011010 => 010110100111 => 101001011000
011110000000 => 111110000000 => 000000011111 => 111111100000
011110000110 => 111110000110 => 011000011111 => 100111100000
011110011000 => 111110011000 => 000110011111 => 111001100000
011110010010 => 111110010010 => 010010011111 => 101101100000
011111100000 => 111111100000 => 000001111111 => 111110000000
011111111110 => 111111111110 => 011111111111 => 100000000000
011111001000 => 111111001000 => 000100111111 => 111011000000
011111000010 => 111111000010 => 010000111111 => 101111000000
011111011010 => 111111011010 => 010110111111 => 101001000000
011100100000 => 111100100000 => 000001001111 => 111110110000
011100100110 => 111100100110 => 011001001111 => 100110110000
011100111000 => 111100111000 => 000111001111 => 111000110000
011100110010 => 111100110010 => 010011001111 => 101100110000
011100001000 => 111100001000 => 000100001111 => 111011110000
011100001110 => 111100001110 => 011100001111 => 100011110000
011100011010 => 111100011010 => 010110001111 => 101001110000
011101101000 => 111101101000 => 000101101111 => 111010010000
011101101110 => 111101101110 => 011101101111 => 100010010000
011101100010 => 111101100010 => 010001101111 => 101110010000
011101111010 => 111101111010 => 010111101111 => 101000010000
011101001010 => 111101001010 => 010100101111 => 101011010000
010010011000 => 110010011000 => 000110010011 => 111001101100
010010011110 => 110010011110 => 011110010011 => 100001101100
010010010010 => 110010010010 => 010010010011 => 101101101100
010011100110 => 110011100110 => 011001110011 => 100110001100
010011111000 => 110011111000 => 000111110011 => 111000001100
010011111110 => 110011111110 => 011111110011 => 100000001100
010011110010 => 110011110010 => 010011110011 => 101100001100
010011001000 => 110011001000 => 000100110011 => 111011001100
010011001110 => 110011001110 => 011100110011 => 100011001100
010011000010 => 110011000010 => 010000110011 => 101111001100
010000100110 => 110000100110 => 011001000011 => 100110111100
010000111110 => 110000111110 => 011111000011 => 100000111100
010000110010 => 110000110010 => 010011000011 => 101100111100
010000001110 => 110000001110 => 011100000011 => 100011111100
010000000010 => 110000000010 => 010000000011 => 101111111100
010000011010 => 110000011010 => 010110000011 => 101001111100
010001101110 => 110001101110 => 011101100011 => 100010011100
010001100010 => 110001100010 => 010001100011 => 101110011100
010001111010 => 110001111010 => 010111100011 => 101000011100
010001001010 => 110001001010 => 010100100011 => 101011011100
010110100000 => 110110100000 => 000001011011 => 111110100100
010110100110 => 110110100110 => 011001011011 => 100110100100
010110111000 => 110110111000 => 000111011011 => 111000100100
010110110010 => 110110110010 => 010011011011 => 101100100100
010110001000 => 110110001000 => 000100011011 => 111011100100
010110001110 => 110110001110 => 011100011011 => 100011100100
010110011010 => 110110011010 => 010110011011 => 101001100100
010100101000 => 110100101000 => 000101001011 => 111010110100
010100101110 => 110100101110 => 011101001011 => 100010110100
010100100010 => 110100100010 => 010001001011 => 101110110100
010100111010 => 110100111010 => 010111001011 => 101000110100
0010101010 => 1010101010 => 0101010101 => 1010101010
0010101000 => 1010101000 => 0001010101 => 1110101010
0010101100 => 1010101100 => 0011010101 => 1100101010
0010100100 => 1010100100 => 0010010101 => 1101101010
0010110100 => 1010110100 => 0010110101 => 1101001010
0010010100 => 1010010100 => 0010100101 => 1101011010
0011010100 => 1011010100 => 0010101101 => 1101010010
0001010100 => 1001010100 => 0010101001 => 1101010110
0101010100 => 1101010100 => 0010101011 => 1101010100
00101010101 => 10101010101 => 10101010101 => 01010101010
00101010111 => 10101010111 => 11101010101 => 00010101010
0010101110 => 1010101110 => 0111010101 => 1000101010
00101010011 => 10101010011 => 11001010101 => 00110101010
0010100000 => 1010100000 => 0000010101 => 1111101010
0010111100 => 1010111100 => 0011110101 => 1100001010
00101001011 => 10101001011 => 11010010101 => 00101101010
0010000100 => 1010000100 => 0010000101 => 1101111010
0011110100 => 1011110100 => 0010111101 => 1101000010
00100101011 => 10100101011 => 11010100101 => 00101011010
0000010100 => 1000010100 => 0010100001 => 1101011110
0111010100 => 1111010100 => 0010101111 => 1101010000
00010101011 => 10010101011 => 11010101001 => 00101010110
0000000010 => 1000000010 => 0100000001 => 1011111110
0000001110 => 1000001110 => 0111000001 => 1000111110
0000111110 => 1000111110 => 0111110001 => 1000001110
0011111110 => 1011111110 => 0111111101 => 1000000010
00000000000 => 10000000000 => 00000000001 => 11111111110
00000000010 => 10000000010 => 01000000001 => 10111111110
0000000100 => 1000000100 => 0010000001 => 1101111110
0000001010 => 1000001010 => 0101000001 => 1010111110
00000001110 => 10000001110 => 01110000001 => 10001111110
0000010110 => 1000010110 => 0110100001 => 1001011110
0000101110 => 1000101110 => 0111010001 => 1000101110
00000111110 => 10000111110 => 01111100001 => 10000011110
0001011110 => 1001011110 => 0111101001 => 1000010110
00011111110 => 10011111110 => 01111111001 => 10000000110
0101111110 => 1101111110 => 0111111011 => 1000000100
01111111110 => 11111111110 => 01111111111 => 10000000000
0010110010 => 1010110010 => 0100110101 => 1011001010
0011001010 => 1011001010 => 0101001101 => 1010110010
0011001100 => 1011001100 => 0011001101 => 1100110010
0011010010 => 1011010010 => 0100101101 => 1011010010
0011100100 => 1011100100 => 0010011101 => 1101100010
0011110000 => 1011110000 => 0000111101 => 1111000010
0100101010 => 1100101010 => 0101010011 => 1010101100
0100101100 => 1100101100 => 0011010011 => 1100101100
0100110100 => 1100110100 => 0010110011 => 1101001100
0101001100 => 1101001100 => 0011001011 => 1100110100
0101010010 => 1101010010 => 0100101011 => 1011010100
0101011000 => 1101011000 => 0001101011 => 1110010100
0110101000 => 1110101000 => 0001010111 => 1110101000
0111010000 => 1111010000 => 0000101111 => 1111010000
001010101010 => 101010101010 => 010101010101 => 101010101010
001010101100 => 101010101100 => 001101010101 => 110010101010
001010110010 => 101010110010 => 010011010101 => 101100101010
001010110100 => 101010110100 => 001011010101 => 110100101010
001010111000 => 101010111000 => 000111010101 => 111000101010
001011001010 => 101011001010 => 010100110101 => 101011001010
001011001100 => 101011001100 => 001100110101 => 110011001010
001011010010 => 101011010010 => 010010110101 => 101101001010
001011010100 => 101011010100 => 001010110101 => 110101001010
001011011000 => 101011011000 => 000110110101 => 111001001010
001011100010 => 101011100010 => 010001110101 => 101110001010
001011100100 => 101011100100 => 001001110101 => 110110001010
001011101000 => 101011101000 => 000101110101 => 111010001010
001011110000 => 101011110000 => 000011110101 => 111100001010
001100101010 => 101100101010 => 010101001101 => 101010110010
001100101100 => 101100101100 => 001101001101 => 110010110010
001100110010 => 101100110010 => 010011001101 => 101100110010
001100110100 => 101100110100 => 001011001101 => 110100110010
001100111000 => 101100111000 => 000111001101 => 111000110010
001101001010 => 101101001010 => 010100101101 => 101011010010
001101001100 => 101101001100 => 001100101101 => 110011010010
001101010010 => 101101010010 => 010010101101 => 101101010010
001101010100 => 101101010100 => 001010101101 => 110101010010
001101011000 => 101101011000 => 000110101101 => 111001010010
001101100010 => 101101100010 => 010001101101 => 101110010010
001101100100 => 101101100100 => 001001101101 => 110110010010
001101101000 => 101101101000 => 000101101101 => 111010010010
001101110000 => 101101110000 => 000011101101 => 111100010010
001110001010 => 101110001010 => 010100011101 => 101011100010
001110001100 => 101110001100 => 001100011101 => 110011100010
001110010010 => 101110010010 => 010010011101 => 101101100010
001110010100 => 101110010100 => 001010011101 => 110101100010
001110011000 => 101110011000 => 000110011101 => 111001100010
001110100010 => 101110100010 => 010001011101 => 101110100010
001110100100 => 101110100100 => 001001011101 => 110110100010
001110101000 => 101110101000 => 000101011101 => 111010100010
001110110000 => 101110110000 => 000011011101 => 111100100010
001111000010 => 101111000010 => 010000111101 => 101111000010
001111000100 => 101111000100 => 001000111101 => 110111000010
001111001000 => 101111001000 => 000100111101 => 111011000010
001111010000 => 101111010000 => 000010111101 => 111101000010
001111100000 => 101111100000 => 000001111101 => 111110000010
010010101010 => 110010101010 => 010101010011 => 101010101100
010010101100 => 110010101100 => 001101010011 => 110010101100
010010110010 => 110010110010 => 010011010011 => 101100101100
010010110100 => 110010110100 => 001011010011 => 110100101100
010010111000 => 110010111000 => 000111010011 => 111000101100
010011001010 => 110011001010 => 010100110011 => 101011001100
010011001100 => 110011001100 => 001100110011 => 110011001100
010011010010 => 110011010010 => 010010110011 => 101101001100
010011010100 => 110011010100 => 001010110011 => 110101001100
010011011000 => 110011011000 => 000110110011 => 111001001100
010011100010 => 110011100010 => 010001110011 => 101110001100
010011100100 => 110011100100 => 001001110011 => 110110001100
010011101000 => 110011101000 => 000101110011 => 111010001100
010011110000 => 110011110000 => 000011110011 => 111100001100
010100101010 => 110100101010 => 010101001011 => 101010110100
010100101100 => 110100101100 => 001101001011 => 110010110100
010100110010 => 110100110010 => 010011001011 => 101100110100
010100110100 => 110100110100 => 001011001011 => 110100110100
010100111000 => 110100111000 => 000111001011 => 111000110100
010101001010 => 110101001010 => 010100101011 => 101011010100
010101001100 => 110101001100 => 001100101011 => 110011010100
010101010010 => 110101010010 => 010010101011 => 101101010100
010101010100 => 110101010100 => 001010101011 => 110101010100
010101011000 => 110101011000 => 000110101011 => 111001010100
010101100010 => 110101100010 => 010001101011 => 101110010100
010101100100 => 110101100100 => 001001101011 => 110110010100
010101101000 => 110101101000 => 000101101011 => 111010010100
010101110000 => 110101110000 => 000011101011 => 111100010100
010110001010 => 110110001010 => 010100011011 => 101011100100
010110001100 => 110110001100 => 001100011011 => 110011100100
010110010010 => 110110010010 => 010010011011 => 101101100100
010110010100 => 110110010100 => 001010011011 => 110101100100
010110011000 => 110110011000 => 000110011011 => 111001100100
010110100010 => 110110100010 => 010001011011 => 101110100100
010110100100 => 110110100100 => 001001011011 => 110110100100
010110101000 => 110110101000 => 000101011011 => 111010100100
010110110000 => 110110110000 => 000011011011 => 111100100100
010111000010 => 110111000010 => 010000111011 => 101111000100
010111000100 => 110111000100 => 001000111011 => 110111000100
010111001000 => 110111001000 => 000100111011 => 111011000100
010111010000 => 110111010000 => 000010111011 => 111101000100
010111100000 => 110111100000 => 000001111011 => 111110000100
011000101010 => 111000101010 => 010101000111 => 101010111000
011000101100 => 111000101100 => 001101000111 => 110010111000
011000110010 => 111000110010 => 010011000111 => 101100111000
011000110100 => 111000110100 => 001011000111 => 110100111000
011000111000 => 111000111000 => 000111000111 => 111000111000
011001001010 => 111001001010 => 010100100111 => 101011011000
011001001100 => 111001001100 => 001100100111 => 110011011000
011001010010 => 111001010010 => 010010100111 => 101101011000
011001010100 => 111001010100 => 001010100111 => 110101011000
011001011000 => 111001011000 => 000110100111 => 111001011000
011001100010 => 111001100010 => 010001100111 => 101110011000
011001100100 => 111001100100 => 001001100111 => 110110011000
011001101000 => 111001101000 => 000101100111 => 111010011000
011001110000 => 111001110000 => 000011100111 => 111100011000
011010001010 => 111010001010 => 010100010111 => 101011101000
011010001100 => 111010001100 => 001100010111 => 110011101000
011010010010 => 111010010010 => 010010010111 => 101101101000
011010010100 => 111010010100 => 001010010111 => 110101101000
011010011000 => 111010011000 => 000110010111 => 111001101000
011010100010 => 111010100010 => 010001010111 => 101110101000
011010100100 => 111010100100 => 001001010111 => 110110101000
011010101000 => 111010101000 => 000101010111 => 111010101000
011010110000 => 111010110000 => 000011010111 => 111100101000
011011000010 => 111011000010 => 010000110111 => 101111001000
011011000100 => 111011000100 => 001000110111 => 110111001000
011011001000 => 111011001000 => 000100110111 => 111011001000
011011010000 => 111011010000 => 000010110111 => 111101001000
011011100000 => 111011100000 => 000001110111 => 111110001000
011100001010 => 111100001010 => 010100001111 => 101011110000
011100001100 => 111100001100 => 001100001111 => 110011110000
011100010010 => 111100010010 => 010010001111 => 101101110000
011100010100 => 111100010100 => 001010001111 => 110101110000
011100011000 => 111100011000 => 000110001111 => 111001110000
011100100010 => 111100100010 => 010001001111 => 101110110000
011100100100 => 111100100100 => 001001001111 => 110110110000
011100101000 => 111100101000 => 000101001111 => 111010110000
011100110000 => 111100110000 => 000011001111 => 111100110000
011101000010 => 111101000010 => 010000101111 => 101111010000
011101000100 => 111101000100 => 001000101111 => 110111010000
011101001000 => 111101001000 => 000100101111 => 111011010000
011101010000 => 111101010000 => 000010101111 => 111101010000
011101100000 => 111101100000 => 000001101111 => 111110010000
011110000010 => 111110000010 => 010000011111 => 101111100000
011110000100 => 111110000100 => 001000011111 => 110111100000
011110001000 => 111110001000 => 000100011111 => 111011100000
011110010000 => 111110010000 => 000010011111 => 111101100000
011110100000 => 111110100000 => 000001011111 => 111110100000
011111000000 => 111111000000 => 000000111111 => 111111000000
10101010101 => 00101010101 => 10101010100 => 01010101011
10101001001 => 00101001001 => 10010010100 => 01101101011
10100101001 => 00100101001 => 10010100100 => 01101011011
10100010001 => 00100010001 => 10001000100 => 01110111011
10100001000 => 00100001000 => 00010000100 => 11101111011
10010010101 => 00010010101 => 10101001000 => 01010110111
10010001001 => 00010001001 => 10010001000 => 01101110111
10010100101 => 00010100101 => 10100101000 => 01011010111
10010101001 => 00010101001 => 10010101000 => 01101010111
10010100100 => 00010100100 => 00100101000 => 11011010111
10010010001 => 00010010001 => 10001001000 => 01110110111
10001000101 => 00001000101 => 10100010000 => 01011101111
10001001001 => 00001001001 => 10010010000 => 01101101111
10001010001 => 00001010001 => 10001010000 => 01110101111
10000100001 => 00000100001 => 10000100000 => 01111011111
01001010101 => 11001010101 => 10101010011 => 01010101100
01000010001 => 11000010001 => 10001000011 => 01110111100
01000010010 => 11000010010 => 01001000011 => 10110111100
01000010100 => 11000010100 => 00101000011 => 11010111100
01000001000 => 11000001000 => 00010000011 => 11101111100
01010010101 => 11010010101 => 10101001011 => 01010110100
01010000100 => 11010000100 => 00100001011 => 11011110100
01010100101 => 11010100101 => 10100101011 => 01011010100
01010101001 => 11010101001 => 10010101011 => 01101010100
01010101010 => 11010101010 => 01010101011 => 10101010100
01010100100 => 11010100100 => 00100101011 => 11011010100
01010010100 => 11010010100 => 00101001011 => 11010110100
01001010100 => 11001010100 => 00101010011 => 11010101100
01000100001 => 11000100001 => 10000100011 => 01111011100
01000010000 => 11000010000 => 00001000011 => 11110111100
00100000100 => 10100000100 => 00100000101 => 11011111010
00100010100 => 10100010100 => 00101000101 => 11010111010
00100001000 => 10100001000 => 00010000101 => 11101111010
00101000100 => 10101000100 => 00100010101 => 11011101010
00101010001 => 10101010001 => 10001010101 => 01110101010
00101010100 => 10101010100 => 00101010101 => 11010101010
00101001000 => 10101001000 => 00010010101 => 11101101010
00100100001 => 10100100001 => 10000100101 => 01111011010
00100101000 => 10100101000 => 00010100101 => 11101011010
00100010000 => 10100010000 => 00001000101 => 11110111010
00010000010 => 10010000010 => 01000001001 => 10111110110
00010010001 => 10010010001 => 10001001001 => 01110110110
00010001000 => 10010001000 => 00010001001 => 11101110110
00010100001 => 10010100001 => 10000101001 => 01111010110
00010101000 => 10010101000 => 00010101001 => 11101010110
00010010000 => 10010010000 => 00001001001 => 11110110110
00001000001 => 10001000001 => 10000010001 => 01111101110
00001000010 => 10001000010 => 01000010001 => 10111101110
00001000100 => 10001000100 => 00100010001 => 11011101110
00001001000 => 10001001000 => 00010010001 => 11101101110
00001010000 => 10001010000 => 00001010001 => 11110101110
00000100000 => 10000100000 => 00000100001 => 11111011110
0100000000 => 1100000000 => 0000000011 => 1111111100
0100000011 => 1100000011 => 1100000011 => 0011111100
0100000111 => 1100000111 => 1110000011 => 0001111100
0100011111 => 1100011111 => 1111100011 => 0000011100
0100111111 => 1100111111 => 1111110011 => 0000001100
0101111111 => 1101111111 => 1111111011 => 0000000100
01000000000 => 11000000000 => 00000000011 => 11111111100
01000000011 => 11000000011 => 11000000011 => 00111111100
0100000101 => 1100000101 => 1010000011 => 0101111100
0100001011 => 1100001011 => 1101000011 => 0010111100
01000001111 => 11000001111 => 11110000011 => 00001111100
0101011111 => 1101011111 => 1111101011 => 0000010100
0110111111 => 1110111111 => 1111110111 => 0000001000
01011111111 => 11011111111 => 11111111011 => 00000000100
0101010110 => 1101010110 => 0110101011 => 1001010100
0101011001 => 1101011001 => 1001101011 => 0110010100
0101011010 => 1101011010 => 0101101011 => 1010010100
0101011100 => 1101011100 => 0011101011 => 1100010100
0101100101 => 1101100101 => 1010011011 => 0101100100
0101100110 => 1101100110 => 0110011011 => 1001100100
0101101001 => 1101101001 => 1001011011 => 0110100100
0101101010 => 1101101010 => 0101011011 => 1010100100
0101101100 => 1101101100 => 0011011011 => 1100100100
0101110001 => 1101110001 => 1000111011 => 0111000100
0101110010 => 1101110010 => 0100111011 => 1011000100
0101111000 => 1101111000 => 0001111011 => 1110000100
0110010101 => 1110010101 => 1010100111 => 0101011000
0110010110 => 1110010110 => 0110100111 => 1001011000
0110011001 => 1110011001 => 1001100111 => 0110011000
0110011010 => 1110011010 => 0101100111 => 1010011000
0110011100 => 1110011100 => 0011100111 => 1100011000
0110100101 => 1110100101 => 1010010111 => 0101101000
0110100110 => 1110100110 => 0110010111 => 1001101000
0110101001 => 1110101001 => 1001010111 => 0110101000
0110101010 => 1110101010 => 0101010111 => 1010101000
0110101100 => 1110101100 => 0011010111 => 1100101000
0110110001 => 1110110001 => 1000110111 => 0111001000
0110110010 => 1110110010 => 0100110111 => 1011001000
0110110100 => 1110110100 => 0010110111 => 1101001000
0110111000 => 1110111000 => 0001110111 => 1110001000
0111000101 => 1111000101 => 1010001111 => 0101110000
0111000110 => 1111000110 => 0110001111 => 1001110000
0111001001 => 1111001001 => 1001001111 => 0110110000
0111001010 => 1111001010 => 0101001111 => 1010110000
0111001100 => 1111001100 => 0011001111 => 1100110000
0111010010 => 1111010010 => 0100101111 => 1011010000
0111011000 => 1111011000 => 0001101111 => 1110010000
0111100010 => 1111100010 => 0100011111 => 1011100000
0111100100 => 1111100100 => 0010011111 => 1101100000
0111101000 => 1111101000 => 0001011111 => 1110100000
0111110000 => 1111110000 => 0000111111 => 1111000000
010101010110 => 110101010110 => 011010101011 => 100101010100
010101011001 => 110101011001 => 100110101011 => 011001010100
010101011010 => 110101011010 => 010110101011 => 101001010100
010101100101 => 110101100101 => 101001101011 => 010110010100
010101100110 => 110101100110 => 011001101011 => 100110010100
010101101001 => 110101101001 => 100101101011 => 011010010100
010101101100 => 110101101100 => 001101101011 => 110010010100
010101110001 => 110101110001 => 100011101011 => 011100010100
010101111000 => 110101111000 => 000111101011 => 111000010100
010110010101 => 110110010101 => 101010011011 => 010101100100
010110010110 => 110110010110 => 011010011011 => 100101100100
010110011001 => 110110011001 => 100110011011 => 011001100100
010110100101 => 110110100101 => 101001011011 => 010110100100
010110101001 => 110110101001 => 100101011011 => 011010100100
010110110001 => 110110110001 => 100011011011 => 011100100100
010111000101 => 110111000101 => 101000111011 => 010111000100
010111001001 => 110111001001 => 100100111011 => 011011000100
010111001100 => 110111001100 => 001100111011 => 110011000100
010111010001 => 110111010001 => 100010111011 => 011101000100
010111010010 => 110111010010 => 010010111011 => 101101000100
010111011000 => 110111011000 => 000110111011 => 111001000100
010111100001 => 110111100001 => 100001111011 => 011110000100
010111110000 => 110111110000 => 000011111011 => 111100000100
011001010101 => 111001010101 => 101010100111 => 010101011000
011001010110 => 111001010110 => 011010100111 => 100101011000
011001011001 => 111001011001 => 100110100111 => 011001011000
011001011100 => 111001011100 => 001110100111 => 110001011000
011001100101 => 111001100101 => 101001100111 => 010110011000
011001101001 => 111001101001 => 100101100111 => 011010011000
011001101100 => 111001101100 => 001101100111 => 110010011000
011001110001 => 111001110001 => 100011100111 => 011100011000
011001110100 => 111001110100 => 001011100111 => 110100011000
011010010101 => 111010010101 => 101010010111 => 010101101000
011010010110 => 111010010110 => 011010010111 => 100101101000
011010011001 => 111010011001 => 100110010111 => 011001101000
011010011010 => 111010011010 => 010110010111 => 101001101000
011010100101 => 111010100101 => 101001010111 => 010110101000
011010100110 => 111010100110 => 011001010111 => 100110101000
011010101001 => 111010101001 => 100101010111 => 011010101000
011010101010 => 111010101010 => 010101010111 => 101010101000
011010101100 => 111010101100 => 001101010111 => 110010101000
011010110001 => 111010110001 => 100011010111 => 011100101000
011010110010 => 111010110010 => 010011010111 => 101100101000
011010110100 => 111010110100 => 001011010111 => 110100101000
011010111000 => 111010111000 => 000111010111 => 111000101000
011011000101 => 111011000101 => 101000110111 => 010111001000
011011000110 => 111011000110 => 011000110111 => 100111001000
011011001001 => 111011001001 => 100100110111 => 011011001000
011011001010 => 111011001010 => 010100110111 => 101011001000
011011001100 => 111011001100 => 001100110111 => 110011001000
011011010001 => 111011010001 => 100010110111 => 011101001000
011011010010 => 111011010010 => 010010110111 => 101101001000
011011010100 => 111011010100 => 001010110111 => 110101001000
011011011000 => 111011011000 => 000110110111 => 111001001000
011011100001 => 111011100001 => 100001110111 => 011110001000
011011100010 => 111011100010 => 010001110111 => 101110001000
011011100100 => 111011100100 => 001001110111 => 110110001000
011011101000 => 111011101000 => 000101110111 => 111010001000
011011110000 => 111011110000 => 000011110111 => 111100001000
011100010101 => 111100010101 => 101010001111 => 010101110000
011100010110 => 111100010110 => 011010001111 => 100101110000
011100011001 => 111100011001 => 100110001111 => 011001110000
011100011100 => 111100011100 => 001110001111 => 110001110000
011100100101 => 111100100101 => 101001001111 => 010110110000
011100101001 => 111100101001 => 100101001111 => 011010110000
011100101010 => 111100101010 => 010101001111 => 101010110000
011100101100 => 111100101100 => 001101001111 => 110010110000
011100110001 => 111100110001 => 100011001111 => 011100110000
011100110100 => 111100110100 => 001011001111 => 110100110000
011101000101 => 111101000101 => 101000101111 => 010111010000
011101000110 => 111101000110 => 011000101111 => 100111010000
011101001001 => 111101001001 => 100100101111 => 011011010000
011101001100 => 111101001100 => 001100101111 => 110011010000
011101010001 => 111101010001 => 100010101111 => 011101010000
011101010010 => 111101010010 => 010010101111 => 101101010000
011101010100 => 111101010100 => 001010101111 => 110101010000
011101011000 => 111101011000 => 000110101111 => 111001010000
011101100001 => 111101100001 => 100001101111 => 011110010000
011101100100 => 111101100100 => 001001101111 => 110110010000
011101110000 => 111101110000 => 000011101111 => 111100010000
011110000101 => 111110000101 => 101000011111 => 010111100000
011110001001 => 111110001001 => 100100011111 => 011011100000
011110001010 => 111110001010 => 010100011111 => 101011100000
011110001100 => 111110001100 => 001100011111 => 110011100000
011110010001 => 111110010001 => 100010011111 => 011101100000
011110010100 => 111110010100 => 001010011111 => 110101100000
011110100001 => 111110100001 => 100001011111 => 011110100000
011110100010 => 111110100010 => 010001011111 => 101110100000
011110100100 => 111110100100 => 001001011111 => 110110100000
011110101000 => 111110101000 => 000101011111 => 111010100000
011110110000 => 111110110000 => 000011011111 => 111100100000
011111000001 => 111111000001 => 100000111111 => 011111000000
011111000100 => 111111000100 => 001000111111 => 110111000000
011111010000 => 111111010000 => 000010111111 => 111101000000
0100000100 => 1100000100 => 0010000011 => 1101111100
0011100110 => 1011100110 => 0110011101 => 1001100010
0011101010 => 1011101010 => 0101011101 => 1010100010
0011101100 => 1011101100 => 0011011101 => 1100100010
0001101110 => 1001101110 => 0111011001 => 1000100110
0010110110 => 1010110110 => 0110110101 => 1001001010
0011110010 => 1011110010 => 0100111101 => 1011000010
0001110110 => 1001110110 => 0110111001 => 1001000110
0100111010 => 1100111010 => 0101110011 => 1010001100
0010111010 => 1010111010 => 0101110101 => 1010001010
0011111000 => 1011111000 => 0001111101 => 1110000010
0001111010 => 1001111010 => 0101111001 => 1010000110
0100111100 => 1100111100 => 0011110011 => 1100001100
0001111100 => 1001111100 => 0011111001 => 1100000110
001111000110 => 101111000110 => 011000111101 => 100111000010
100111001100 => 000111001100 => 001100111000 => 110011000111
001111001100 => 101111001100 => 001100111101 => 110011000010
001011010110 => 101011010110 => 011010110101 => 100101001010
100111010100 => 000111010100 => 001010111000 => 110101000111
100111011000 => 000111011000 => 000110111000 => 111001000111
001111011000 => 101111011000 => 000110111101 => 111001000010
100011011100 => 000011011100 => 001110110000 => 110001001111
010011011100 => 110011011100 => 001110110011 => 110001001100
001011011100 => 101011011100 => 001110110101 => 110001001010
000111011100 => 100111011100 => 001110111001 => 110001000110
000011011110 => 100011011110 => 011110110001 => 100001001110
001101100110 => 101101100110 => 011001101101 => 100110010010
100101101100 => 000101101100 => 001101101000 => 110010010111
001101101100 => 101101101100 => 001101101101 => 110010010010
001011100110 => 101011100110 => 011001110101 => 100110001010
100011101100 => 000011101100 => 001101110000 => 110010001111
010011101100 => 110011101100 => 001101110011 => 110010001100
001011101100 => 101011101100 => 001101110101 => 110010001010
000011101110 => 100011101110 => 011101110001 => 100010001110
101001110100 => 001001110100 => 001011100100 => 110100011011
100101110100 => 000101110100 => 001011101000 => 110100010111
001111110000 => 101111110000 => 000011111101 => 111100000010
100011110100 => 000011110100 => 001011110000 => 110100001111
010011110100 => 110011110100 => 001011110011 => 110100001100
001101111000 => 101101111000 => 000111101101 => 111000010010
001011111000 => 101011111000 => 000111110101 => 111000001010
010001111100 => 110001111100 => 001111100011 => 110000011100
001001111100 => 101001111100 => 001111100101 => 110000011010
000101111100 => 100101111100 => 001111101001 => 110000010110
000011111100 => 100011111100 => 001111110001 => 110000001110
0000000101 => 1000000101 => 1010000001 => 0101111110
0000001101 => 1000001101 => 1011000001 => 0100111110
0000011101 => 1000011101 => 1011100001 => 0100011110
0001111101 => 1001111101 => 1011111001 => 0100000110
0011111101 => 1011111101 => 1011111101 => 0100000010
00000000101 => 10000000101 => 10100000001 => 01011111110
0000001001 => 1000001001 => 1001000001 => 0110111110
00000001101 => 10000001101 => 10110000001 => 01001111110
0000010101 => 1000010101 => 1010100001 => 0101011110
00000011101 => 10000011101 => 10111000001 => 01000111110
0000101101 => 1000101101 => 1011010001 => 0100101110
00000111101 => 10000111101 => 10111100001 => 01000011110
00001111101 => 10001111101 => 10111110001 => 01000001110
0010111101 => 1010111101 => 1011110101 => 0100001010
00011111101 => 10011111101 => 10111111001 => 01000000110
0101111101 => 1101111101 => 1011111011 => 0100000100
00111111101 => 10111111101 => 10111111101 => 01000000010
11111111101 => 01111111101 => 10111111110 => 01000000001
100101010101 => 000101010101 => 101010101000 => 010101010111
100101011001 => 000101011001 => 100110101000 => 011001010111
100101100101 => 000101100101 => 101001101000 => 010110010111
100101101001 => 000101101001 => 100101101000 => 011010010111
100101110001 => 000101110001 => 100011101000 => 011100010111
100110010101 => 000110010101 => 101010011000 => 010101100111
100110101001 => 000110101001 => 100101011000 => 011010100111
100111000101 => 000111000101 => 101000111000 => 010111000111
100111001001 => 000111001001 => 100100111000 => 011011000111
100111010001 => 000111010001 => 100010111000 => 011101000111
101001010101 => 001001010101 => 101010100100 => 010101011011
101001101001 => 001001101001 => 100101100100 => 011010011011
101010011001 => 001010011001 => 100110010100 => 011001101011
101010100101 => 001010100101 => 101001010100 => 010110101011
101010101001 => 001010101001 => 100101010100 => 011010101011
101010110001 => 001010110001 => 100011010100 => 011100101011
101011001001 => 001011001001 => 100100110100 => 011011001011
101100010101 => 001100010101 => 101010001100 => 010101110011
101100101001 => 001100101001 => 100101001100 => 011010110011
101101000101 => 001101000101 => 101000101100 => 010111010011
101101001001 => 001101001001 => 100100101100 => 011011010011
101101010001 => 001101010001 => 100010101100 => 011101010011
101110100001 => 001110100001 => 100001011100 => 011110100011
110001010101 => 010001010101 => 101010100010 => 010101011101
110001011001 => 010001011001 => 100110100010 => 011001011101
110001100101 => 010001100101 => 101001100010 => 010110011101
110001101001 => 010001101001 => 100101100010 => 011010011101
110001110001 => 010001110001 => 100011100010 => 011100011101
110010010101 => 010010010101 => 101010010010 => 010101101101
110010011001 => 010010011001 => 100110010010 => 011001101101
110010100101 => 010010100101 => 101001010010 => 010110101101
110010101001 => 010010101001 => 100101010010 => 011010101101
110010110001 => 010010110001 => 100011010010 => 011100101101
110011000101 => 010011000101 => 101000110010 => 010111001101
110011001001 => 010011001001 => 100100110010 => 011011001101
110011010001 => 010011010001 => 100010110010 => 011101001101
110100010101 => 010100010101 => 101010001010 => 010101110101
110100011001 => 010100011001 => 100110001010 => 011001110101
110100100101 => 010100100101 => 101001001010 => 010110110101
110100101001 => 010100101001 => 100101001010 => 011010110101
110100110001 => 010100110001 => 100011001010 => 011100110101
110101000101 => 010101000101 => 101000101010 => 010111010101
110101001001 => 010101001001 => 100100101010 => 011011010101
110101010001 => 010101010001 => 100010101010 => 011101010101
110110000101 => 010110000101 => 101000011010 => 010111100101
110110001001 => 010110001001 => 100100011010 => 011011100101
111000010101 => 011000010101 => 101010000110 => 010101111001
111000101001 => 011000101001 => 100101000110 => 011010111001
111010001001 => 011010001001 => 100100010110 => 011011101001
111100000101 => 011100000101 => 101000001110 => 010111110001
111100001001 => 011100001001 => 100100001110 => 011011110001
111100010001 => 011100010001 => 100010001110 => 011101110001
111100100001 => 011100100001 => 100001001110 => 011110110001
0111000011 => 1111000011 => 1100001111 => 0011110000
0011110001 => 1011110001 => 1000111101 => 0111000010
110100000111 => 010100000111 => 111000001010 => 000111110101
110110000011 => 010110000011 => 110000011010 => 001111100101
110000001111 => 010000001111 => 111100000010 => 000011111101
011101000011 => 111101000011 => 110000101111 => 001111010000
011100000111 => 111100000111 => 111000001111 => 000111110000
111010000011 => 011010000011 => 110000010110 => 001111101001
111000011100 => 011000011100 => 001110000110 => 110001111001
001111000011 => 101111000011 => 110000111101 => 001111000010
011110000011 => 111110000011 => 110000011111 => 001111100000
111100000011 => 011100000011 => 110000001110 => 001111110001
001111100001 => 101111100001 => 100001111101 => 011110000010
01111111011 => 11111111011 => 11011111111 => 00100000000
01111110101 => 11111110101 => 10101111111 => 01010000000
0011110111 => 1011110111 => 1110111101 => 0001000010
01111101001 => 11111101001 => 10010111111 => 01101000000
0011101101 => 1011101101 => 1011011101 => 0100100010
01111010001 => 11111010001 => 10001011111 => 01110100000
0011011001 => 1011011001 => 1001101101 => 0110010010
01110100001 => 11110100001 => 10000101111 => 01111010000
0010110001 => 1010110001 => 1000110101 => 0111001010
01101000001 => 11101000001 => 10000010111 => 01111101000
01010000001 => 11010000001 => 10000001011 => 01111110100
0001000001 => 1001000001 => 1000001001 => 0111110110
00100000001 => 10100000001 => 10000000101 => 01111111010
0111010101 => 1111010101 => 1010101111 => 0101010000
0111010011 => 1111010011 => 1100101111 => 0011010000
0111011001 => 1111011001 => 1001101111 => 0110010000
0111000111 => 1111000111 => 1110001111 => 0001110000
0011110011 => 1011110011 => 1100111101 => 0011000010
0111100011 => 1111100011 => 1100011111 => 0011100000
0011111001 => 1011111001 => 1001111101 => 0110000010
0000111111 => 1000111111 => 1111110001 => 0000001110
110101010101 => 010101010101 => 101010101010 => 010101010101
110101010011 => 010101010011 => 110010101010 => 001101010101
110101001101 => 010101001101 => 101100101010 => 010011010101
110101011001 => 010101011001 => 100110101010 => 011001010101
110101000111 => 010101000111 => 111000101010 => 000111010101
110100110101 => 010100110101 => 101011001010 => 010100110101
110101100101 => 010101100101 => 101001101010 => 010110010101
110101101001 => 010101101001 => 100101101010 => 011010010101
110101100011 => 010101100011 => 110001101010 => 001110010101
110100011101 => 010100011101 => 101110001010 => 010001110101
110100111001 => 010100111001 => 100111001010 => 011000110101
110101110001 => 010101110001 => 100011101010 => 011100010101
110100001111 => 010100001111 => 111100001010 => 000011110101
110011010101 => 010011010101 => 101010110010 => 010101001101
110011010011 => 010011010011 => 110010110010 => 001101001101
110011001101 => 010011001101 => 101100110010 => 010011001101
110011011001 => 010011011001 => 100110110010 => 011001001101
110011000111 => 010011000111 => 111000110010 => 000111001101
110110010101 => 010110010101 => 101010011010 => 010101100101
110110100101 => 010110100101 => 101001011010 => 010110100101
110110101001 => 010110101001 => 100101011010 => 011010100101
110110100011 => 010110100011 => 110001011010 => 001110100101
110110011001 => 010110011001 => 100110011010 => 011001100101
110110110001 => 010110110001 => 100011011010 => 011100100101
110110000111 => 010110000111 => 111000011010 => 000111100101
110001110101 => 010001110101 => 101011100010 => 010100011101
110001110011 => 010001110011 => 110011100010 => 001100011101
110011100101 => 010011100101 => 101001110010 => 010110001101
110011101001 => 010011101001 => 100101110010 => 011010001101
110011100011 => 010011100011 => 110001110010 => 001110001101
110111000101 => 010111000101 => 101000111010 => 010111000101
110111001001 => 010111001001 => 100100111010 => 011011000101
110111010001 => 010111010001 => 100010111010 => 011101000101
110111000011 => 010111000011 => 110000111010 => 001111000101
110000111101 => 010000111101 => 101111000010 => 010000111101
110001111001 => 010001111001 => 100111100010 => 011000011101
110011110001 => 010011110001 => 100011110010 => 011100001101
110111100001 => 010111100001 => 100001111010 => 011110000101
110000011111 => 010000011111 => 111110000010 => 000001111101
011101010101 => 111101010101 => 101010101111 => 010101010000
011101000111 => 111101000111 => 111000101111 => 000111010000
011101101001 => 111101101001 => 100101101111 => 011010010000
011100111001 => 111100111001 => 100111001111 => 011000110000
111001010101 => 011001010101 => 101010100110 => 010101011001
111001010011 => 011001010011 => 110010100110 => 001101011001
111001001101 => 011001001101 => 101100100110 => 010011011001
111001011001 => 011001011001 => 100110100110 => 011001011001
111001000111 => 011001000111 => 111000100110 => 000111011001
111010010101 => 011010010101 => 101010010110 => 010101101001
111010010011 => 011010010011 => 110010010110 => 001101101001
111010100101 => 011010100101 => 101001010110 => 010110101001
111010101001 => 011010101001 => 100101010110 => 011010101001
111010100011 => 011010100011 => 110001010110 => 001110101001
111010001101 => 011010001101 => 101100010110 => 010011101001
111010011001 => 011010011001 => 100110010110 => 011001101001
111010110001 => 011010110001 => 100011010110 => 011100101001
111010000111 => 011010000111 => 111000010110 => 000111101001
111000110101 => 011000110101 => 101011000110 => 010100111001
111000110011 => 011000110011 => 110011000110 => 001100111001
111001100101 => 011001100101 => 101001100110 => 010110011001
111001101001 => 011001101001 => 100101100110 => 011010011001
111011000101 => 011011000101 => 101000110110 => 010111001001
111011001001 => 011011001001 => 100100110110 => 011011001001
111011010001 => 011011010001 => 100010110110 => 011101001001
111011000011 => 011011000011 => 110000110110 => 001111001001
111000011101 => 011000011101 => 101110000110 => 010001111001
111000111001 => 011000111001 => 100111000110 => 011000111001
111001110001 => 011001110001 => 100011100110 => 011100011001
111011100001 => 011011100001 => 100001110110 => 011110001001
111000001111 => 011000001111 => 111100000110 => 000011111001
001111010101 => 101111010101 => 101010111101 => 010101000010
001111010011 => 101111010011 => 110010111101 => 001101000010
001111001101 => 101111001101 => 101100111101 => 010011000010
001111011001 => 101111011001 => 100110111101 => 011001000010
001111000111 => 101111000111 => 111000111101 => 000111000010
011110010011 => 111110010011 => 110010011111 => 001101100000
011110100101 => 111110100101 => 101001011111 => 010110100000
011110001101 => 111110001101 => 101100011111 => 010011100000
111100010011 => 011100010011 => 110010001110 => 001101110001
111100101001 => 011100101001 => 100101001110 => 011010110001
111100100011 => 011100100011 => 110001001110 => 001110110001
111101000101 => 011101000101 => 101000101110 => 010111010001
111101001001 => 011101001001 => 100100101110 => 011011010001
111101010001 => 011101010001 => 100010101110 => 011101010001
111101000011 => 011101000011 => 110000101110 => 001111010001
111100001101 => 011100001101 => 101100001110 => 010011110001
111100011001 => 011100011001 => 100110001110 => 011001110001
111100110001 => 011100110001 => 100011001110 => 011100110001
111101100001 => 011101100001 => 100001101110 => 011110010001
111100000111 => 011100000111 => 111000001110 => 000111110001
000111110101 => 100111110101 => 101011111001 => 010100000110
000111110011 => 100111110011 => 110011111001 => 001100000110
011111001001 => 111111001001 => 100100111111 => 011011000000
011111010001 => 111111010001 => 100010111111 => 011101000000
111110000101 => 011110000101 => 101000011110 => 010111100001
111110001001 => 011110001001 => 100100011110 => 011011100001
111110010001 => 011110010001 => 100010011110 => 011101100001
111110100001 => 011110100001 => 100001011110 => 011110100001
111110000011 => 011110000011 => 110000011110 => 001111100001
000011111101 => 100011111101 => 101111110001 => 010000001110
001111110001 => 101111110001 => 100011111101 => 011100000010
111111000001 => 011111000001 => 100000111110 => 011111000001
11111100010 => 01111100010 => 01000111110 => 10111000001
0001110100 => 1001110100 => 0010111001 => 1101000110
0001101100 => 1001101100 => 0011011001 => 1100100110
0100011100 => 1100011100 => 0011100011 => 1100011100
0010011100 => 1010011100 => 0011100101 => 1100011010
0001011100 => 1001011100 => 0011101001 => 1100010110
0000111100 => 1000111100 => 0011110001 => 1100001110
0001101010 => 1001101010 => 0101011001 => 1010100110
0010011010 => 1010011010 => 0101100101 => 1010011010
0000111010 => 1000111010 => 0101110001 => 1010001110
0101000110 => 1101000110 => 0110001011 => 1001110100
0011000110 => 1011000110 => 0110001101 => 1001110010
0010100110 => 1010100110 => 0110010101 => 1001101010
0100010110 => 1100010110 => 0110100011 => 1001011100
0010010110 => 1010010110 => 0110100101 => 1001011010
0001010110 => 1001010110 => 0110101001 => 1001010110
0000110110 => 1000110110 => 0110110001 => 1001001110
0010001110 => 1010001110 => 0111000101 => 1000111010
000111010100 => 100111010100 => 001010111001 => 110101000110
000110110100 => 100110110100 => 001011011001 => 110100100110
010001110100 => 110001110100 => 001011100011 => 110100011100
001001110100 => 101001110100 => 001011100101 => 110100011010
000101110100 => 100101110100 => 001011101001 => 110100010110
000011110100 => 100011110100 => 001011110001 => 110100001110
000111001100 => 100111001100 => 001100111001 => 110011000110
000110101100 => 100110101100 => 001101011001 => 110010100110
010001101100 => 110001101100 => 001101100011 => 110010011100
001001101100 => 101001101100 => 001101100101 => 110010011010
000101101100 => 100101101100 => 001101101001 => 110010010110
000011101100 => 100011101100 => 001101110001 => 110010001110
010100011100 => 110100011100 => 001110001011 => 110001110100
001100011100 => 101100011100 => 001110001101 => 110001110010
010010011100 => 110010011100 => 001110010011 => 110001101100
001010011100 => 101010011100 => 001110010101 => 110001101010
000110011100 => 100110011100 => 001110011001 => 110001100110
001001011100 => 101001011100 => 001110100101 => 110001011010
000101011100 => 100101011100 => 001110101001 => 110001010110
000011011100 => 100011011100 => 001110110001 => 110001001110
010000111100 => 110000111100 => 001111000011 => 110000111100
001000111100 => 101000111100 => 001111000101 => 110000111010
000100111100 => 100100111100 => 001111001001 => 110000110110
000010111100 => 100010111100 => 001111010001 => 110000101110
000001111100 => 100001111100 => 001111100001 => 110000011110
000111010010 => 100111010010 => 010010111001 => 101101000110
000110110010 => 100110110010 => 010011011001 => 101100100110
010001110010 => 110001110010 => 010011100011 => 101100011100
001001110010 => 101001110010 => 010011100101 => 101100011010
000101110010 => 100101110010 => 010011101001 => 101100010110
000011110010 => 100011110010 => 010011110001 => 101100001110
000111001010 => 100111001010 => 010100111001 => 101011000110
000110101010 => 100110101010 => 010101011001 => 101010100110
000101101010 => 100101101010 => 010101101001 => 101010010110
010100011010 => 110100011010 => 010110001011 => 101001110100
001100011010 => 101100011010 => 010110001101 => 101001110010
001010011010 => 101010011010 => 010110010101 => 101001101010
000110011010 => 100110011010 => 010110011001 => 101001100110
010001011010 => 110001011010 => 010110100011 => 101001011100
001001011010 => 101001011010 => 010110100101 => 101001011010
000101011010 => 100101011010 => 010110101001 => 101001010110
010000111010 => 110000111010 => 010111000011 => 101000111100
001000111010 => 101000111010 => 010111000101 => 101000111010
000100111010 => 100100111010 => 010111001001 => 101000110110
000010111010 => 100010111010 => 010111010001 => 101000101110
000001111010 => 100001111010 => 010111100001 => 101000011110
010101000110 => 110101000110 => 011000101011 => 100111010100
001101000110 => 101101000110 => 011000101101 => 100111010010
010011000110 => 110011000110 => 011000110011 => 100111001100
001011000110 => 101011000110 => 011000110101 => 100111001010
000111000110 => 100111000110 => 011000111001 => 100111000110
010100100110 => 110100100110 => 011001001011 => 100110110100
001100100110 => 101100100110 => 011001001101 => 100110110010
010010100110 => 110010100110 => 011001010011 => 100110101100
001010100110 => 101010100110 => 011001010101 => 100110101010
000110100110 => 100110100110 => 011001011001 => 100110100110
010001100110 => 110001100110 => 011001100011 => 100110011100
001001100110 => 101001100110 => 011001100101 => 100110011010
000101100110 => 100101100110 => 011001101001 => 100110010110
000011100110 => 100011100110 => 011001110001 => 100110001110
010100010110 => 110100010110 => 011010001011 => 100101110100
010010010110 => 110010010110 => 011010010011 => 100101101100
001010010110 => 101010010110 => 011010010101 => 100101101010
010001010110 => 110001010110 => 011010100011 => 100101011100
001001010110 => 101001010110 => 011010100101 => 100101011010
000101010110 => 100101010110 => 011010101001 => 100101010110
000011010110 => 100011010110 => 011010110001 => 100101001110
010000110110 => 110000110110 => 011011000011 => 100100111100
001000110110 => 101000110110 => 011011000101 => 100100111010
000100110110 => 100100110110 => 011011001001 => 100100110110
000010110110 => 100010110110 => 011011010001 => 100100101110
000001110110 => 100001110110 => 011011100001 => 100100011110
010100001110 => 110100001110 => 011100001011 => 100011110100
001100001110 => 101100001110 => 011100001101 => 100011110010
010010001110 => 110010001110 => 011100010011 => 100011101100
000110001110 => 100110001110 => 011100011001 => 100011100110
010001001110 => 110001001110 => 011100100011 => 100011011100
000101001110 => 100101001110 => 011100101001 => 100011010110
000011001110 => 100011001110 => 011100110001 => 100011001110
010000101110 => 110000101110 => 011101000011 => 100010111100
001000101110 => 101000101110 => 011101000101 => 100010111010
000100101110 => 100100101110 => 011101001001 => 100010110110
000010101110 => 100010101110 => 011101010001 => 100010101110
000001101110 => 100001101110 => 011101100001 => 100010011110
010000011110 => 110000011110 => 011110000011 => 100001111100
001000011110 => 101000011110 => 011110000101 => 100001111010
000100011110 => 100100011110 => 011110001001 => 100001110110
000010011110 => 100010011110 => 011110010001 => 100001101110
000001011110 => 100001011110 => 011110100001 => 100001011110
000000111110 => 100000111110 => 011111000001 => 100000111110
10111111101 => 00111111101 => 10111111100 => 01000000011
01011111101 => 11011111101 => 10111111011 => 01000000100
00101111101 => 10101111101 => 10111110101 => 01000001010
0110111001 => 1110111001 => 1001110111 => 0110001000
00010111101 => 10010111101 => 10111101001 => 01000010110
00001011101 => 10001011101 => 10111010001 => 01000101110
0001101001 => 1001101001 => 1001011001 => 0110100110
00000101101 => 10000101101 => 10110100001 => 01001011110
0000110001 => 1000110001 => 1000110001 => 0111001110
00000010101 => 10000010101 => 10101000001 => 01010111110
0000010001 => 1000010001 => 1000100001 => 0111011110
00000001001 => 10000001001 => 10010000001 => 01101111110
10000000001 => 00000000001 => 10000000000 => 01111111111
11111111111 => 01111111111 => 11111111110 => 00000000001
0100011001 => 1100011001 => 1001100011 => 0110011100
0100111001 => 1100111001 => 1001110011 => 0110001100
0101111001 => 1101111001 => 1001111011 => 0110000100
0110010001 => 1110010001 => 1000100111 => 0111011000
0100010001 => 1100010001 => 1000100011 => 0111011100
0100110001 => 1100110001 => 1000110011 => 0111001100
0100100001 => 1100100001 => 1000010011 => 0111101100
0101100001 => 1101100001 => 1000011011 => 0111100100
0110111011 => 1110111011 => 1101110111 => 0010001000
0101111011 => 1101111011 => 1101111011 => 0010000100
0110010011 => 1110010011 => 1100100111 => 0011011000
0100010011 => 1100010011 => 1100100011 => 0011011100
0110110011 => 1110110011 => 1100110111 => 0011001000
0110100011 => 1110100011 => 1100010111 => 0011101000
0100100011 => 1100100011 => 1100010011 => 0011101100
0101100011 => 1101100011 => 1100011011 => 0011100100
0101000011 => 1101000011 => 1100001011 => 0011110100
0110010111 => 1110010111 => 1110100111 => 0001011000
0110110111 => 1110110111 => 1110110111 => 0001001000
0100110111 => 1100110111 => 1110110011 => 0001001100
0101110111 => 1101110111 => 1110111011 => 0001000100
0101100111 => 1101100111 => 1110011011 => 0001100100
0110101111 => 1110101111 => 1111010111 => 0000101000
0101101111 => 1101101111 => 1111011011 => 0000100100
0101001111 => 1101001111 => 1111001011 => 0000110100
101110011001 => 001110011001 => 100110011100 => 011001100011
101000011001 => 001000011001 => 100110000100 => 011001111011
100110111001 => 000110111001 => 100111011000 => 011000100111
101100111001 => 001100111001 => 100111001100 => 011000110011
100101111001 => 000101111001 => 100111101000 => 011000010111
101001111001 => 001001111001 => 100111100100 => 011000011011
101110110001 => 001110110001 => 100011011100 => 011100100011
101000110001 => 001000110001 => 100011000100 => 011100111011
101101110001 => 001101110001 => 100011101100 => 011100010011
101011110001 => 001011110001 => 100011110100 => 011100001011
100110100001 => 000110100001 => 100001011000 => 011110100111
101100100001 => 001100100001 => 100001001100 => 011110110011
101001100001 => 001001100001 => 100001100100 => 011110011011
100110011011 => 000110011011 => 110110011000 => 001001100111
100100011011 => 000100011011 => 110110001000 => 001001110111
101100011011 => 001100011011 => 110110001100 => 001001110011
101000011011 => 001000011011 => 110110000100 => 001001111011
100100111011 => 000100111011 => 110111001000 => 001000110111
101000111011 => 001000111011 => 110111000100 => 001000111011
101110010011 => 001110010011 => 110010011100 => 001101100011
100100010011 => 000100010011 => 110010001000 => 001101110111
101100010011 => 001100010011 => 110010001100 => 001101110011
101000010011 => 001000010011 => 110010000100 => 001101111011
100110110011 => 000110110011 => 110011011000 => 001100100111
101110110011 => 001110110011 => 110011011100 => 001100100011
100100110011 => 000100110011 => 110011001000 => 001100110111
101100110011 => 001100110011 => 110011001100 => 001100110011
101000110011 => 001000110011 => 110011000100 => 001100111011
101101110011 => 001101110011 => 110011101100 => 001100010011
101001110011 => 001001110011 => 110011100100 => 001100011011
100100100011 => 000100100011 => 110001001000 => 001110110111
101100100011 => 001100100011 => 110001001100 => 001110110011
101011100011 => 001011100011 => 110001110100 => 001110001011
101001000011 => 001001000011 => 110000100100 => 001111011011
100110010111 => 000110010111 => 111010011000 => 000101100111
100100010111 => 000100010111 => 111010001000 => 000101110111
101100010111 => 001100010111 => 111010001100 => 000101110011
101110110111 => 001110110111 => 111011011100 => 000100100011
100100110111 => 000100110111 => 111011001000 => 000100110111
101000110111 => 001000110111 => 111011000100 => 000100111011
101101110111 => 001101110111 => 111011101100 => 000100010011
101011110111 => 001011110111 => 111011110100 => 000100001011
100110100111 => 000110100111 => 111001011000 => 000110100111
101110100111 => 001110100111 => 111001011100 => 000110100011
100100100111 => 000100100111 => 111001001000 => 000110110111
101100100111 => 001100100111 => 111001001100 => 000110110011
101000100111 => 001000100111 => 111001000100 => 000110111011
100101100111 => 000101100111 => 111001101000 => 000110010111
101001100111 => 001001100111 => 111001100100 => 000110011011
101101000111 => 001101000111 => 111000101100 => 000111010011
101011000111 => 001011000111 => 111000110100 => 000111001011
101010000111 => 001010000111 => 111000010100 => 000111101011
100110101111 => 000110101111 => 111101011000 => 000010100111
100100101111 => 000100101111 => 111101001000 => 000010110111
101100101111 => 001100101111 => 111101001100 => 000010110011
101000101111 => 001000101111 => 111101000100 => 000010111011
101101101111 => 001101101111 => 111101101100 => 000010010011
101011101111 => 001011101111 => 111101110100 => 000010001011
100101001111 => 000101001111 => 111100101000 => 000011010111
101101001111 => 001101001111 => 111100101100 => 000011010011
101001001111 => 001001001111 => 111100100100 => 000011011011
101011001111 => 001011001111 => 111100110100 => 000011001011
101010001111 => 001010001111 => 111100010100 => 000011101011
101101011111 => 001101011111 => 111110101100 => 000001010011
101011011111 => 001011011111 => 111110110100 => 000001001011
101010011111 => 001010011111 => 111110010100 => 000001101011
101010111111 => 001010111111 => 111111010100 => 000000101011
100110101010 => 000110101010 => 010101011000 => 101010100111
101001101010 => 001001101010 => 010101100100 => 101010011011
100101101010 => 000101101010 => 010101101000 => 101010010111
100011101010 => 000011101010 => 010101110000 => 101010001111
101010011010 => 001010011010 => 010110010100 => 101001101011
100110011010 => 000110011010 => 010110011000 => 101001100111
101001011010 => 001001011010 => 010110100100 => 101001011011
100101011010 => 000101011010 => 010110101000 => 101001010111
101000111010 => 001000111010 => 010111000100 => 101000111011
101010100110 => 001010100110 => 011001010100 => 100110101011
100110100110 => 000110100110 => 011001011000 => 100110100111
101001100110 => 001001100110 => 011001100100 => 100110011011
100101100110 => 000101100110 => 011001101000 => 100110010111
101010010110 => 001010010110 => 011010010100 => 100101101011
100110010110 => 000110010110 => 011010011000 => 100101100111
101001010110 => 001001010110 => 011010100100 => 100101011011
101010001110 => 001010001110 => 011100010100 => 100011101011
100100110101 => 000100110101 => 101011001000 => 010100110111
101010001101 => 001010001101 => 101100010100 => 010011101011
100101001101 => 000101001101 => 101100101000 => 010011010111
101000101101 => 001000101101 => 101101000100 => 010010111011
100100101101 => 000100101101 => 101101001000 => 010010110111
100010101101 => 000010101101 => 101101010000 => 010010101111
100100011101 => 000100011101 => 101110001000 => 010001110111
100001011101 => 000001011101 => 101110100000 => 010001011111
101010010011 => 001010010011 => 110010010100 => 001101101011
101001010011 => 001001010011 => 110010100100 => 001101011011
100010110011 => 000010110011 => 110011010000 => 001100101111
101010001011 => 001010001011 => 110100010100 => 001011101011
100110001011 => 000110001011 => 110100011000 => 001011100111
101001001011 => 001001001011 => 110100100100 => 001011011011
101000101011 => 001000101011 => 110101000100 => 001010111011
100100101011 => 000100101011 => 110101001000 => 001010110111
100010101011 => 000010101011 => 110101010000 => 001010101111
100010011011 => 000010011011 => 110110010000 => 001001101111
100000111011 => 000000111011 => 110111000000 => 001000111111
100010100111 => 000010100111 => 111001010000 => 000110101111
101000001111 => 001000001111 => 111100000100 => 000011111011
100100001111 => 000100001111 => 111100001000 => 000011110111
100010001111 => 000010001111 => 111100010000 => 000011101111
100000101111 => 000000101111 => 111101000000 => 000010111111
01010111011 => 11010111011 => 11011101011 => 00100010100
01011011011 => 11011011011 => 11011011011 => 00100100100
01011101011 => 11011101011 => 11010111011 => 00101000100
01011110111 => 11011110111 => 11101111011 => 00010000100
01101110101 => 11101110101 => 10101110111 => 01010001000
01101111011 => 11101111011 => 11011110111 => 00100001000
01101011101 => 11101011101 => 10111010111 => 01000101000
01101010101 => 11101010101 => 10101010111 => 01010101000
01101011011 => 11101011011 => 11011010111 => 00100101000
01101101011 => 11101101011 => 11010110111 => 00101001000
01101110111 => 11101110111 => 11101110111 => 00010001000
01110111010 => 11110111010 => 01011101111 => 10100010000
01110111101 => 11110111101 => 10111101111 => 01000010000
01110111011 => 11110111011 => 11011101111 => 00100010000
01110101110 => 11110101110 => 01110101111 => 10001010000
01110110111 => 11110110111 => 11101101111 => 00010010000
01111011110 => 11111011110 => 01111011111 => 10000100000
01111011101 => 11111011101 => 10111011111 => 01000100000
01111010111 => 11111010111 => 11101011111 => 00010100000
01111101111 => 11111101111 => 11110111111 => 00001000000
10110101010 => 00110101010 => 01010101100 => 10101010011
10110101101 => 00110101101 => 10110101100 => 01001010011
10110110101 => 00110110101 => 10101101100 => 01010010011
10111010101 => 00111010101 => 10101011100 => 01010100011
10101101010 => 00101101010 => 01010110100 => 10101001011
10101101101 => 00101101101 => 10110110100 => 01001001011
10101110101 => 00101110101 => 10101110100 => 01010001011
10101011101 => 00101011101 => 10111010100 => 01000101011
10101011011 => 00101011011 => 11011010100 => 00100101011
10101101011 => 00101101011 => 11010110100 => 00101001011
10110101011 => 00110101011 => 11010101100 => 00101010011
10110110111 => 00110110111 => 11101101100 => 00010010011
10111101111 => 00111101111 => 11110111100 => 00001000011
11011110101 => 01011110101 => 10101111010 => 01010000101
11011010101 => 01011010101 => 10101011010 => 01010100101
11011110111 => 01011110111 => 11101111010 => 00010000101
11010111101 => 01010111101 => 10111101010 => 01000010101
11010110101 => 01010110101 => 10101101010 => 01010010101
11010101101 => 01010101101 => 10110101010 => 01001010101
11010101011 => 01010101011 => 11010101010 => 00101010101
11010110111 => 01010110111 => 11101101010 => 00010010101
11011010111 => 01011010111 => 11101011010 => 00010100101
11011101111 => 01011101111 => 11110111010 => 00001000101
11101111101 => 01101111101 => 10111110110 => 01000001001
11101110111 => 01101110111 => 11101110110 => 00010001001
11101010111 => 01101010111 => 11101010110 => 00010101001
11101101111 => 01101101111 => 11110110110 => 00001001001
11110111101 => 01110111101 => 10111101110 => 01000010001
11110111011 => 01110111011 => 11011101110 => 00100010001
11110110111 => 01110110111 => 11101101110 => 00010010001
11110101111 => 01110101111 => 11110101110 => 00001010001
11111011111 => 01111011111 => 11111011110 => 00000100001
0000001100 => 1000001100 => 0011000001 => 1100111110
0000011001 => 1000011001 => 1001100001 => 0110011110
0000110011 => 1000110011 => 1100110001 => 0011001110
0110011111 => 1110011111 => 1111100111 => 0000011000
0000110100 => 1000110100 => 0010110001 => 1101001110
00001100111 => 10001100111 => 11100110001 => 00011001110
01100111111 => 11100111111 => 11111100111 => 00000011000
11001111111 => 01001111111 => 11111110010 => 00000001101
0000000011 => 1000000011 => 1100000001 => 0011111110
0000011011 => 1000011011 => 1101100001 => 0010011110
0001101111 => 1001101111 => 1111011001 => 0000100110
0011011111 => 1011011111 => 1111101101 => 0000010010
0000110101 => 1000110101 => 1010110001 => 0101001110
00000110111 => 10000110111 => 11101100001 => 00010011110
0011010111 => 1011010111 => 1110101101 => 0001010010
00011011111 => 10011011111 => 11111011001 => 00000100110
00110111111 => 10110111111 => 11111101101 => 00000010010
01101111111 => 11101111111 => 11111110111 => 00000001000
11011111111 => 01011111111 => 11111111010 => 00000000101
10001010101 => 00001010101 => 10101010000 => 01010101111
01111010101 => 11111010101 => 10101011111 => 01010100000
10000010101 => 00000010101 => 10101000000 => 01010111111
10000000101 => 00000000101 => 10100000000 => 01011111111
0010000010 => 1010000010 => 0100000101 => 1011111010
0001000011 => 1001000011 => 1100001001 => 0011110110
0111001011 => 1111001011 => 1101001111 => 0010110000
0111100111 => 1111100111 => 1110011111 => 0001100000
0111110111 => 1111110111 => 1110111111 => 0001000000
11000000000 => 01000000000 => 00000000010 => 11111111101
0110001011 => 1110001011 => 1101000111 => 0010111000
0110000111 => 1110000111 => 1110000111 => 0001111000
110000111001 => 010000111001 => 100111000010 => 011000111101
110000110101 => 010000110101 => 101011000010 => 010100111101
110010001101 => 010010001101 => 101100010010 => 010011101101
110100001101 => 010100001101 => 101100001010 => 010011110101
110000101101 => 010000101101 => 101101000010 => 010010111101
110000011101 => 010000011101 => 101110000010 => 010001111101
011100100011 => 111100100011 => 110001001111 => 001110110000
011010010011 => 111010010011 => 110010010111 => 001101101000
011100010011 => 111100010011 => 110010001111 => 001101110000
011000110011 => 111000110011 => 110011000111 => 001100111000
010110001011 => 110110001011 => 110100011011 => 001011100100
011010001011 => 111010001011 => 110100010111 => 001011101000
011100001011 => 111100001011 => 110100001111 => 001011110000
011000101011 => 111000101011 => 110101000111 => 001010111000
011000011011 => 111000011011 => 110110000111 => 001001111000
101110000011 => 001110000011 => 110000011100 => 001111100011
110100100011 => 010100100011 => 110001001010 => 001110110101
111000100011 => 011000100011 => 110001000110 => 001110111001
110010010011 => 010010010011 => 110010010010 => 001101101101
110100010011 => 010100010011 => 110010001010 => 001101110101
111000010011 => 011000010011 => 110010000110 => 001101111001
110000110011 => 010000110011 => 110011000010 => 001100111101
101100001011 => 001100001011 => 110100001100 => 001011110011
110010001011 => 010010001011 => 110100010010 => 001011101101
110100001011 => 010100001011 => 110100001010 => 001011110101
111000001011 => 011000001011 => 110100000110 => 001011111001
110000101011 => 010000101011 => 110101000010 => 001010111101
110000011011 => 010000011011 => 110110000010 => 001001111101
001110000111 => 101110000111 => 111000011101 => 000111100010
010110000111 => 110110000111 => 111000011011 => 000111100100
011010000111 => 111010000111 => 111000010111 => 000111101000
011000100111 => 111000100111 => 111001000111 => 000110111000
011000010111 => 111000010111 => 111010000111 => 000101111000
110010000111 => 010010000111 => 111000010010 => 000111101101
110000100111 => 010000100111 => 111001000010 => 000110111101
110000010111 => 010000010111 => 111010000010 => 000101111101
011000001111 => 111000001111 => 111100000111 => 000011111000
0011010110 => 1011010110 => 0110101101 => 1001010010
0100110110 => 1100110110 => 0110110011 => 1001001100
0110001110 => 1110001110 => 0111000111 => 1000111000
0101001110 => 1101001110 => 0111001011 => 1000110100
0011001110 => 1011001110 => 0111001101 => 1000110010
0100101110 => 1100101110 => 0111010011 => 1000101100
0100011110 => 1100011110 => 0111100011 => 1000011100
0010011110 => 1010011110 => 0111100101 => 1000011010
011000111010 => 111000111010 => 010111000111 => 101000111000
001110100110 => 101110100110 => 011001011101 => 100110100010
001110010110 => 101110010110 => 011010011101 => 100101100010
001101010110 => 101101010110 => 011010101101 => 100101010010
010011010110 => 110011010110 => 011010110011 => 100101001100
011000110110 => 111000110110 => 011011000111 => 100100111000
010100110110 => 110100110110 => 011011001011 => 100100110100
001100110110 => 101100110110 => 011011001101 => 100100110010
010010110110 => 110010110110 => 011011010011 => 100100101100
001010110110 => 101010110110 => 011011010101 => 100100101010
010001110110 => 110001110110 => 011011100011 => 100100011100
011010001110 => 111010001110 => 011100010111 => 100011101000
001110001110 => 101110001110 => 011100011101 => 100011100010
010101001110 => 110101001110 => 011100101011 => 100011010100
001101001110 => 101101001110 => 011100101101 => 100011010010
001011001110 => 101011001110 => 011100110101 => 100011001010
011000101110 => 111000101110 => 011101000111 => 100010111000
001100101110 => 101100101110 => 011101001101 => 100010110010
010010101110 => 110010101110 => 011101010011 => 100010101100
001010101110 => 101010101110 => 011101010101 => 100010101010
000110101110 => 100110101110 => 011101011001 => 100010100110
001001101110 => 101001101110 => 011101100101 => 100010011010
010100011110 => 110100011110 => 011110001011 => 100001110100
001100011110 => 101100011110 => 011110001101 => 100001110010
001010011110 => 101010011110 => 011110010101 => 100001101010
010001011110 => 110001011110 => 011110100011 => 100001011100
001001011110 => 101001011110 => 011110100101 => 100001011010
000101011110 => 100101011110 => 011110101001 => 100001010110
001000111110 => 101000111110 => 011111000101 => 100000111010
000010111110 => 100010111110 => 011111010001 => 100000101110
0101000000 => 1101000000 => 0000001011 => 1111110100
0001010000 => 1001010000 => 0000101001 => 1111010110
0001010101 => 1001010101 => 1010101001 => 0101010110
0100010101 => 1100010101 => 1010100011 => 0101011100
0100101001 => 1100101001 => 1001010011 => 0110101100
0001001011 => 1001001011 => 1101001001 => 0010110110
0001100011 => 1001100011 => 1100011001 => 0011100110
0110000011 => 1110000011 => 1100000111 => 0011111000
0001110111 => 1001110111 => 1110111001 => 0001000110
0111101111 => 1111101111 => 1111011111 => 0000100000
000000000101 => 100000000101 => 101000000001 => 010111111110
000001010101 => 100001010101 => 101010100001 => 010101011110
000100010101 => 100100010101 => 101010001001 => 010101110110
010000010101 => 110000010101 => 101010000011 => 010101111100
011101110101 => 111101110101 => 101011101111 => 010100010000
011010000001 => 111010000001 => 100000010111 => 011111101000
000110100001 => 100110100001 => 100001011001 => 011110100110
010010100001 => 110010100001 => 100001010011 => 011110101100
011000100001 => 111000100001 => 100001000111 => 011110111000
000100101001 => 100100101001 => 100101001001 => 011010110110
010000101001 => 110000101001 => 100101000011 => 011010111100
000110001001 => 100110001001 => 100100011001 => 011011100110
010010001001 => 110010001001 => 100100010011 => 011011101100
011110111001 => 111110111001 => 100111011111 => 011000100000
000000011011 => 100000011011 => 110110000001 => 001001111110
011011011011 => 111011011011 => 110110110111 => 001001001000
000001001011 => 100001001011 => 110100100001 => 001011011110
000100001011 => 100100001011 => 110100001001 => 001011110110
010000001011 => 110000001011 => 110100000011 => 001011111100
011101101011 => 111101101011 => 110101101111 => 001010010000
000001100011 => 100001100011 => 110001100001 => 001110011110
000100100011 => 100100100011 => 110001001001 => 001110110110
010000100011 => 110000100011 => 110001000011 => 001110111100
000110000011 => 100110000011 => 110000011001 => 001111100110
010010000011 => 110010000011 => 110000010011 => 001111101100
011000000011 => 111000000011 => 110000000111 => 001111111000
011110110011 => 111110110011 => 110011011111 => 001100100000
010101110111 => 110101110111 => 111011101011 => 000100010100
011010110111 => 111010110111 => 111011010111 => 000100101000
011101010111 => 111101010111 => 111010101111 => 000101010000
011110100111 => 111110100111 => 111001011111 => 000110100000
000111101111 => 100111101111 => 111101111001 => 000010000110
010011101111 => 110011101111 => 111101110011 => 000010001100
011001101111 => 111001101111 => 111101100111 => 000010011000
011100101111 => 111100101111 => 111101001111 => 000010110000
011110001111 => 111110001111 => 111100011111 => 000011100000
011111011111 => 111111011111 => 111110111111 => 000001000000
0111000000 => 1111000000 => 0000001111 => 1111110000
0111111100 => 1111111100 => 0011111111 => 1100000000
0010000000 => 1010000000 => 0000000101 => 1111111010
01100000000 => 11100000000 => 00000000111 => 11111111000
01110000000 => 11110000000 => 00000001111 => 11111110000
0110100000 => 1110100000 => 0000010111 => 1111101000
01111000000 => 11111000000 => 00000011111 => 11111100000
01111100000 => 11111100000 => 00000111111 => 11111000000
01111110000 => 11111110000 => 00001111111 => 11110000000
0111110100 => 1111110100 => 0010111111 => 1101000000
01111111000 => 11111111000 => 00011111111 => 11100000000
0111111010 => 1111111010 => 0101111111 => 1010000000
01111111100 => 11111111100 => 00111111111 => 11000000000
101101010101 => 001101010101 => 101010101100 => 010101010011
101011010101 => 001011010101 => 101010110100 => 010101001011
101100110101 => 001100110101 => 101011001100 => 010100110011
110010110101 => 010010110101 => 101011010010 => 010100101101
101010110101 => 001010110101 => 101011010100 => 010100101011
101101001101 => 001101001101 => 101100101100 => 010011010011
101011001101 => 001011001101 => 101100110100 => 010011001011
110100101101 => 010100101101 => 101101001010 => 010010110101
101100101101 => 001100101101 => 101101001100 => 010010110011
110010101101 => 010010101101 => 101101010010 => 010010101101
101010101101 => 001010101101 => 101101010100 => 010010101011
101101010011 => 001101010011 => 110010101100 => 001101010011
101011010011 => 001011010011 => 110010110100 => 001101001011
110010110011 => 010010110011 => 110011010010 => 001100101101
101010110011 => 001010110011 => 110011010100 => 001100101011
110101001011 => 010101001011 => 110100101010 => 001011010101
101101001011 => 001101001011 => 110100101100 => 001011010011
110011001011 => 010011001011 => 110100110010 => 001011001101
101011001011 => 001011001011 => 110100110100 => 001011001011
110100101011 => 010100101011 => 110101001010 => 001010110101
101100101011 => 001100101011 => 110101001100 => 001010110011
110010101011 => 010010101011 => 110101010010 => 001010101101
101010101011 => 001010101011 => 110101010100 => 001010101011
0000000111 => 1000000111 => 1110000001 => 0001111110
0000001111 => 1000001111 => 1111000001 => 0000111110
0001111111 => 1001111111 => 1111111001 => 0000000110
0011111111 => 1011111111 => 1111111101 => 0000000010
00000000111 => 10000000111 => 11100000001 => 00011111110
0000001011 => 1000001011 => 1101000001 => 0010111110
0000010111 => 1000010111 => 1110100001 => 0001011110
00000011111 => 10000011111 => 11111000001 => 00000111110
0001011111 => 1001011111 => 1111101001 => 0000010110
00001111111 => 10001111111 => 11111110001 => 00000001110
0010111111 => 1010111111 => 1111110101 => 0000001010
00011111111 => 10011111111 => 11111111001 => 00000000110
00111111111 => 10111111111 => 11111111101 => 00000000010
10111000000 => 00111000000 => 00000011100 => 11111100011
10111110000 => 00111110000 => 00001111100 => 11110000011
10111111111 => 00111111111 => 11111111100 => 00000000011
10000001011 => 00000001011 => 11010000000 => 00101111111
10000010111 => 00000010111 => 11101000000 => 00010111111
10000101111 => 00000101111 => 11110100000 => 00001011111
10001011111 => 00001011111 => 11111010000 => 00000101111
10010111111 => 00010111111 => 11111101000 => 00000010111
10101111111 => 00101111111 => 11111110100 => 00000001011
0011111100 => 1011111100 => 0011111101 => 1100000010
0011011100 => 1011011100 => 0011101101 => 1100010010
0010111001 => 1010111001 => 1001110101 => 0110001010
011000111100 => 111000111100 => 001111000111 => 110000111000
010100111100 => 110100111100 => 001111001011 => 110000110100
001100111001 => 101100111001 => 100111001101 => 011000110010
001100111100 => 101100111100 => 001111001101 => 110000110010
010010111100 => 110010111100 => 001111010011 => 110000101100
001010111001 => 101010111001 => 100111010101 => 011000101010
001010111100 => 101010111100 => 001111010101 => 110000101010
000110111001 => 100110111001 => 100111011001 => 011000100110
000110111100 => 100110111100 => 001111011001 => 110000100110
001110110001 => 101110110001 => 100011011101 => 011100100010
001110111000 => 101110111000 => 000111011101 => 111000100010
001101101001 => 101101101001 => 100101101101 => 011010010010
001001111001 => 101001111001 => 100111100101 => 011000011010
000101111001 => 100101111001 => 100111101001 => 011000010110
001101110001 => 101101110001 => 100011101101 => 011100010010
001011100101 => 101011100101 => 101001110101 => 010110001010
001011101001 => 101011101001 => 100101110101 => 011010001010
001011110001 => 101011110001 => 100011110101 => 011100001010
000111100011 => 100111100011 => 110001111001 => 001110000110
000111100101 => 100111100101 => 101001111001 => 010110000110
000111101001 => 100111101001 => 100101111001 => 011010000110
0000101010 => 1000101010 => 0101010001 => 1010101110
11000000011 => 01000000011 => 11000000010 => 00111111101
111000101011 => 011000101011 => 110101000110 => 001010111001
111001001011 => 011001001011 => 110100100110 => 001011011001
110110001011 => 010110001011 => 110100011010 => 001011100101
111010001011 => 011010001011 => 110100010110 => 001011101001
111100001011 => 011100001011 => 110100001110 => 001011110001
101111000011 => 001111000011 => 110000111100 => 001111000011
111000101101 => 011000101101 => 101101000110 => 010010111001
101110001101 => 001110001101 => 101100011100 => 010011100011
101110010101 => 001110010101 => 101010011100 => 010101100011
101011100101 => 001011100101 => 101001110100 => 010110001011
101101100101 => 001101100101 => 101001101100 => 010110010011
101110100101 => 001110100101 => 101001011100 => 010110100011
101111000101 => 001111000101 => 101000111100 => 010111000011
101010111001 => 001010111001 => 100111010100 => 011000101011
110010111001 => 010010111001 => 100111010010 => 011000101101
101011011001 => 001011011001 => 100110110100 => 011001001011
101101011001 => 001101011001 => 100110101100 => 011001010011
101011101001 => 001011101001 => 100101110100 => 011010001011
101101101001 => 001101101001 => 100101101100 => 011010010011
101110101001 => 001110101001 => 100101011100 => 011010100011
101111001001 => 001111001001 => 100100111100 => 011011000011
101111010001 => 001111010001 => 100010111100 => 011101000011
101111100001 => 001111100001 => 100001111100 => 011110000011
11010001000 => 01010001000 => 00010001010 => 11101110101
11000100010 => 01000100010 => 01000100010 => 10111011101
00000100010 => 10000100010 => 01000100001 => 10111011110
111000001110 => 011000001110 => 011100000110 => 100011111001
001101100011 => 101101100011 => 110001101101 => 001110010010
001110001101 => 101110001101 => 101100011101 => 010011100010
001110010011 => 101110010011 => 110010011101 => 001101100010
001110011001 => 101110011001 => 100110011101 => 011001100010
001110011100 => 101110011100 => 001110011101 => 110001100010
001110100101 => 101110100101 => 101001011101 => 010110100010
010010111001 => 110010111001 => 100111010011 => 011000101100
11011100000 => 01011100000 => 00000111010 => 11111000101
10110100000 => 00110100000 => 00000101100 => 11111010011
11010100000 => 01010100000 => 00000101010 => 11111010101
01110100000 => 11110100000 => 00000101111 => 11111010000
11000100000 => 01000100000 => 00000100010 => 11111011101
01000100000 => 11000100000 => 00000100011 => 11111011100
10101000000 => 00101000000 => 00000010100 => 11111101011
111010000110 => 011010000110 => 011000010110 => 100111101001
110100010110 => 010100010110 => 011010001010 => 100101110101
110010001110 => 010010001110 => 011100010010 => 100011101101
100110011100 => 000110011100 => 001110011000 => 110001100111
00000101110 => 10000101110 => 01110100001 => 10001011110
00010111110 => 10010111110 => 01111101001 => 10000010110
0010010101 => 1010010101 => 1010100101 => 0101011010
00001010101 => 10001010101 => 10101010001 => 01010101110
0010010011 => 1010010011 => 1100100101 => 0011011010
0000100111 => 1000100111 => 1110010001 => 0001101110
0001001010 => 1001001010 => 0101001001 => 1010110110
0000100100 => 1000100100 => 0010010001 => 1101101110
0011000000 => 1011000000 => 0000001101 => 1111110010
0101010111 => 1101010111 => 1110101011 => 0001010100
10101010001 => 00101010001 => 10001010100 => 01110101011
111000010110 => 011000010110 => 011010000110 => 100101111001
100100111100 => 000100111100 => 001111001000 => 110000110111
110100011010 => 010100011010 => 010110001010 => 101001110101
111000011010 => 011000011010 => 010110000110 => 101001111001
110010011100 => 010010011100 => 001110010010 => 110001101101
01101010100 => 11101010100 => 00101010111 => 11010101000
01101010010 => 11101010010 => 01001010111 => 10110101000
01101001010 => 11101001010 => 01010010111 => 10101101000
01100101010 => 11100101010 => 01010100111 => 10101011000
01110101010 => 11110101010 => 01010101111 => 10101010000
0101110101 => 1101110101 => 1010111011 => 0101000100
11111100000 => 01111100000 => 00000111110 => 11111000001
00111110000 => 10111110000 => 00001111101 => 11110000010
01011110000 => 11011110000 => 00001111011 => 11110000100
01101110000 => 11101110000 => 00001110111 => 11110001000
01110110000 => 11110110000 => 00001101111 => 11110010000
10000011111 => 00000011111 => 11111000000 => 00000111111
0011100001 => 1011100001 => 1000011101 => 0111100010
01010101000 => 11010101000 => 00010101011 => 11101010100
01000000010 => 11000000010 => 01000000011 => 10111111100
00010000000 => 10010000000 => 00000001001 => 11111110110
00000001000 => 10000001000 => 00010000001 => 11101111110
100111110101 => 000111110101 => 101011111000 => 010100000111
111101101001 => 011101101001 => 100101101110 => 011010010001
0000101000 => 1000101000 => 0001010001 => 1110101110
110101000110 => 010101000110 => 011000101010 => 100111010101
10011111111 => 00011111111 => 11111111000 => 00000000111
10001111111 => 00001111111 => 11111110000 => 00000001111
10000111111 => 00000111111 => 11111100000 => 00000011111
10000001111 => 00000001111 => 11110000000 => 00001111111
10000000111 => 00000000111 => 11100000000 => 00011111111
10000000011 => 00000000011 => 11000000000 => 00111111111
110011000110 => 010011000110 => 011000110010 => 100111001101
110001001110 => 010001001110 => 011100100010 => 100011011101
110001101100 => 010001101100 => 001101100010 => 110010011101
110010010110 => 010010010110 => 011010010010 => 100101101101
110110000110 => 010110000110 => 011000011010 => 100111100101
111100000110 => 011100000110 => 011000001110 => 100111110001
110100001110 => 010100001110 => 011100001010 => 100011110101
110010010000 => 010010010000 => 000010010010 => 111101101101
0101001000 => 1101001000 => 0001001011 => 1110110100
0101010000 => 1101010000 => 0000101011 => 1111010100
0010010000 => 1010010000 => 0000100101 => 1111011010
0001010010 => 1001010010 => 0100101001 => 1011010110
00010101101 => 10010101101 => 10110101001 => 01001010110
00010110101 => 10010110101 => 10101101001 => 01010010110
00011010101 => 10011010101 => 10101011001 => 01010100110
0100101000 => 1100101000 => 0001010011 => 1110101100
01010101111 => 11010101111 => 11110101011 => 00001010100
01010110111 => 11010110111 => 11101101011 => 00010010100
01011010111 => 11011010111 => 11101011011 => 00010100100
01101010111 => 11101010111 => 11101010111 => 00010101000
10101010111 => 00101010111 => 11101010100 => 00010101011
010011100011 => 110011100011 => 110001110011 => 001110001100
010110100011 => 110110100011 => 110001011011 => 001110100100
011001100011 => 111001100011 => 110001100111 => 001110011000
011011000011 => 111011000011 => 110000110111 => 001111001000
0010011001 => 1010011001 => 1001100101 => 0110011010
0010100101 => 1010100101 => 1010010101 => 0101101010
0011001001 => 1011001001 => 1001001101 => 0110110010
0010110111 => 1010110111 => 1110110101 => 0001001010
0000111001 => 1000111001 => 1001110001 => 0110001110
0010001101 => 1010001101 => 1011000101 => 0100111010
11000001000 => 01000001000 => 00010000010 => 11101111101
11111111000 => 01111111000 => 00011111110 => 11100000001
0001010001 => 1001010001 => 1000101001 => 0111010110
0110101101 => 1110101101 => 1011010111 => 0100101000
0101101011 => 1101101011 => 1101011011 => 0010100100
0101011101 => 1101011101 => 1011101011 => 0100010100
0011000011 => 1011000011 => 1100001101 => 0011110010
0011011011 => 1011011011 => 1101101101 => 0010010010
0001111011 => 1001111011 => 1101111001 => 0010000110
111111000011 => 011111000011 => 110000111110 => 001111000001
111100110011 => 011100110011 => 110011001110 => 001100110001
111100001111 => 011100001111 => 111100001110 => 000011110001
111101100011 => 011101100011 => 110001101110 => 001110010001
110011001111 => 010011001111 => 111100110010 => 000011001101
110110001111 => 010110001111 => 111100011010 => 000011100101
001111111111 => 101111111111 => 111111111101 => 000000000010
001111011011 => 101111011011 => 110110111101 => 001001000010
001101101111 => 101101101111 => 111101101101 => 000010010010
001101111011 => 101101111011 => 110111101101 => 001000010010
010110111011 => 110110111011 => 110111011011 => 001000100100
010111101011 => 110111101011 => 110101111011 => 001010000100
11110000000 => 01110000000 => 00000001110 => 11111110001
11011101000 => 01011101000 => 00010111010 => 11101000101
110000110000 => 010000110000 => 000011000010 => 111100111101
110001011010 => 010001011010 => 010110100010 => 101001011101
0011011101 => 1011011101 => 1011101101 => 0100010010
0010000111 => 1010000111 => 1110000101 => 0001111010
0111011111 => 1111011111 => 1111101111 => 0000010000
011111111101 => 111111111101 => 101111111111 => 010000000000
010111110101 => 110111110101 => 101011111011 => 010100000100
010111011101 => 110111011101 => 101110111011 => 010001000100
010111010111 => 110111010111 => 111010111011 => 000101000100
100111010111 => 000111010111 => 111010111000 => 000101000111
011111010101 => 111111010101 => 101010111111 => 010101000000
001111010111 => 101111010111 => 111010111101 => 000101000010
101111010101 => 001111010101 => 101010111100 => 010101000011
001111011101 => 101111011101 => 101110111101 => 010001000010
111111001001 => 011111001001 => 100100111110 => 011011000001
001010010001 => 101010010001 => 100010010101 => 011101101010
011101011101 => 111101011101 => 101110101111 => 010001010000
111101010101 => 011101010101 => 101010101110 => 010101010001
001101011111 => 101101011111 => 111110101101 => 000001010010
101101010111 => 001101010111 => 111010101100 => 000101010011
001101110111 => 101101110111 => 111011101101 => 000100010010
001000110001 => 101000110001 => 100011000101 => 011100111010
111100100111 => 011100100111 => 111001001110 => 000110110001
111100111001 => 011100111001 => 100111001110 => 011000110001
11010000010 => 01010000010 => 01000001010 => 10111110101
01110111111 => 11110111111 => 11111101111 => 00000010000
0000110000 => 1000110000 => 0000110001 => 1111001110
000011001100 => 100011001100 => 001100110001 => 110011001110
000011110000 => 100011110000 => 000011110001 => 111100001110
000011100100 => 100011100100 => 001001110001 => 110110001110
000010010000 => 100010010000 => 000010010001 => 111101101110
000010011100 => 100010011100 => 001110010001 => 110001101110
000010000100 => 100010000100 => 001000010001 => 110111101110
000010110100 => 100010110100 => 001011010001 => 110100101110
001100001100 => 101100001100 => 001100001101 => 110011110010
001100110000 => 101100110000 => 000011001101 => 111100110010
001100100100 => 101100100100 => 001001001101 => 110110110010
001111000000 => 101111000000 => 000000111101 => 111111000010
001110010000 => 101110010000 => 000010011101 => 111101100010
001110000100 => 101110000100 => 001000011101 => 110111100010
001001001100 => 101001001100 => 001100100101 => 110011011010
001001110000 => 101001110000 => 000011100101 => 111100011010
001001100100 => 101001100100 => 001001100101 => 110110011010
001000010000 => 101000010000 => 000010000101 => 111101111010
001000110100 => 101000110100 => 001011000101 => 110100111010
001011010000 => 101011010000 => 000010110101 => 111101001010
001011000100 => 101011000100 => 001000110101 => 110111001010
001010010100 => 101010010100 => 001010010101 => 110101101010
100100110000 => 000100110000 => 000011001000 => 111100110111
101001010000 => 001001010000 => 000010100100 => 111101011011
101001011100 => 001001011100 => 001110100100 => 110001011011
11111100011 => 01111100011 => 11000111110 => 00111000001
11110000011 => 01110000011 => 11000001110 => 00111110001
11000111011 => 01000111011 => 11011100010 => 00100011101
00011100000 => 10011100000 => 00000111001 => 11111000110
00010001111 => 10010001111 => 11110001001 => 00001110110
00000111011 => 10000111011 => 11011100001 => 00100011110
00011101111 => 10011101111 => 11110111001 => 00001000110
01110001111 => 11110001111 => 11110001111 => 00001110000
01110001000 => 11110001000 => 00010001111 => 11101110000
01110111110 => 11110111110 => 01111101111 => 10000010000
01110100010 => 11110100010 => 01000101111 => 10111010000
01111101110 => 11111101110 => 01110111111 => 10001000000
01000101110 => 11000101110 => 01110100011 => 10001011100
01000111110 => 11000111110 => 01111100011 => 10000011100
01000001110 => 11000001110 => 01110000011 => 10001111100
01011101000 => 11011101000 => 00010111011 => 11101000100
01011100010 => 11011100010 => 01000111011 => 10111000100
0000100001 => 1000100001 => 1000010001 => 0111101110
001100100001 => 101100100001 => 100001001101 => 011110110010
001110110111 => 101110110111 => 111011011101 => 000100100010
001110111101 => 101110111101 => 101111011101 => 010000100010
001001000011 => 101001000011 => 110000100101 => 001111011010
001001001001 => 101001001001 => 100100100101 => 011011011010
001001100001 => 101001100001 => 100001100101 => 011110011010
001000010011 => 101000010011 => 110010000101 => 001101111010
001000011001 => 101000011001 => 100110000101 => 011001111010
001000000001 => 101000000001 => 100000000101 => 011111111010
001000100101 => 101000100101 => 101001000101 => 010110111010
001011011111 => 101011011111 => 111110110101 => 000001001010
001011000001 => 101011000001 => 100000110101 => 011111001010
001011110111 => 101011110111 => 111011110101 => 000100001010
011010001101 => 111010001101 => 101100010111 => 010011101000
011000111001 => 111000111001 => 100111000111 => 011000111000
011010111101 => 111010111101 => 101111010111 => 010000101000
011110101101 => 111110101101 => 101101011111 => 010010100000
Map
twist
Description
Return the binary word with first letter inverted.
Map
reverse
Description
Return the reversal of a binary word.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.
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