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