Identifier
Mp00261: Binary words —Burrows-Wheeler⟶ Binary words
Mp00105: Binary words —complement⟶ Binary words
Images
0 => 0 => 1
1 => 1 => 0
00 => 00 => 11
01 => 10 => 01
10 => 10 => 01
11 => 11 => 00
000 => 000 => 111
001 => 100 => 011
010 => 100 => 011
011 => 110 => 001
100 => 100 => 011
101 => 110 => 001
110 => 110 => 001
111 => 111 => 000
0000 => 0000 => 1111
0001 => 1000 => 0111
0010 => 1000 => 0111
0011 => 1010 => 0101
0100 => 1000 => 0111
0101 => 1100 => 0011
0110 => 1010 => 0101
0111 => 1110 => 0001
1000 => 1000 => 0111
1001 => 1010 => 0101
1010 => 1100 => 0011
1011 => 1110 => 0001
1100 => 1010 => 0101
1101 => 1110 => 0001
1110 => 1110 => 0001
1111 => 1111 => 0000
00000 => 00000 => 11111
00001 => 10000 => 01111
00010 => 10000 => 01111
00011 => 10010 => 01101
00100 => 10000 => 01111
00101 => 11000 => 00111
00110 => 10010 => 01101
00111 => 10110 => 01001
01000 => 10000 => 01111
01001 => 11000 => 00111
01010 => 11000 => 00111
01011 => 11100 => 00011
01100 => 10010 => 01101
01101 => 11100 => 00011
01110 => 10110 => 01001
01111 => 11110 => 00001
10000 => 10000 => 01111
10001 => 10010 => 01101
10010 => 11000 => 00111
10011 => 10110 => 01001
10100 => 11000 => 00111
10101 => 11100 => 00011
10110 => 11100 => 00011
10111 => 11110 => 00001
11000 => 10010 => 01101
11001 => 10110 => 01001
11010 => 11100 => 00011
11011 => 11110 => 00001
11100 => 10110 => 01001
11101 => 11110 => 00001
11110 => 11110 => 00001
11111 => 11111 => 00000
000000 => 000000 => 111111
000001 => 100000 => 011111
000010 => 100000 => 011111
000011 => 100010 => 011101
000100 => 100000 => 011111
000101 => 101000 => 010111
000110 => 100010 => 011101
000111 => 100110 => 011001
001000 => 100000 => 011111
001001 => 110000 => 001111
001010 => 101000 => 010111
001011 => 101100 => 010011
001100 => 100010 => 011101
001101 => 110010 => 001101
001110 => 100110 => 011001
001111 => 101110 => 010001
010000 => 100000 => 011111
010001 => 101000 => 010111
010010 => 110000 => 001111
010011 => 110010 => 001101
010100 => 101000 => 010111
010101 => 111000 => 000111
010110 => 101100 => 010011
010111 => 111010 => 000101
011000 => 100010 => 011101
011001 => 101100 => 010011
011010 => 110010 => 001101
011011 => 111100 => 000011
011100 => 100110 => 011001
011101 => 111010 => 000101
011110 => 101110 => 010001
011111 => 111110 => 000001
100000 => 100000 => 011111
100001 => 100010 => 011101
100010 => 101000 => 010111
100011 => 100110 => 011001
100100 => 110000 => 001111
100101 => 101100 => 010011
100110 => 110010 => 001101
>>> Load all 1604 entries. <<<
100111 => 101110 => 010001
101000 => 101000 => 010111
101001 => 110010 => 001101
101010 => 111000 => 000111
101011 => 111010 => 000101
101100 => 101100 => 010011
101101 => 111100 => 000011
101110 => 111010 => 000101
101111 => 111110 => 000001
110000 => 100010 => 011101
110001 => 100110 => 011001
110010 => 101100 => 010011
110011 => 101110 => 010001
110100 => 110010 => 001101
110101 => 111010 => 000101
110110 => 111100 => 000011
110111 => 111110 => 000001
111000 => 100110 => 011001
111001 => 101110 => 010001
111010 => 111010 => 000101
111011 => 111110 => 000001
111100 => 101110 => 010001
111101 => 111110 => 000001
111110 => 111110 => 000001
111111 => 111111 => 000000
0000000 => 0000000 => 1111111
0000001 => 1000000 => 0111111
0000010 => 1000000 => 0111111
0000011 => 1000010 => 0111101
0000100 => 1000000 => 0111111
0000101 => 1001000 => 0110111
0000110 => 1000010 => 0111101
0000111 => 1000110 => 0111001
0001000 => 1000000 => 0111111
0001001 => 1100000 => 0011111
0001010 => 1001000 => 0110111
0001011 => 1001100 => 0110011
0001100 => 1000010 => 0111101
0001101 => 1010010 => 0101101
0001110 => 1000110 => 0111001
0001111 => 1001110 => 0110001
0010000 => 1000000 => 0111111
0010001 => 1100000 => 0011111
0010010 => 1100000 => 0011111
0010011 => 1100100 => 0011011
0010100 => 1001000 => 0110111
0010101 => 1110000 => 0001111
0010110 => 1001100 => 0110011
0010111 => 1011010 => 0100101
0011000 => 1000010 => 0111101
0011001 => 1100100 => 0011011
0011010 => 1010010 => 0101101
0011011 => 1101100 => 0010011
0011100 => 1000110 => 0111001
0011101 => 1100110 => 0011001
0011110 => 1001110 => 0110001
0011111 => 1011110 => 0100001
0100000 => 1000000 => 0111111
0100001 => 1001000 => 0110111
0100010 => 1100000 => 0011111
0100011 => 1010010 => 0101101
0100100 => 1100000 => 0011111
0100101 => 1110000 => 0001111
0100110 => 1100100 => 0011011
0100111 => 1100110 => 0011001
0101000 => 1001000 => 0110111
0101001 => 1110000 => 0001111
0101010 => 1110000 => 0001111
0101011 => 1111000 => 0000111
0101100 => 1001100 => 0110011
0101101 => 1111000 => 0000111
0101110 => 1011010 => 0100101
0101111 => 1110110 => 0001001
0110000 => 1000010 => 0111101
0110001 => 1001100 => 0110011
0110010 => 1100100 => 0011011
0110011 => 1101100 => 0010011
0110100 => 1010010 => 0101101
0110101 => 1111000 => 0000111
0110110 => 1101100 => 0010011
0110111 => 1111100 => 0000011
0111000 => 1000110 => 0111001
0111001 => 1011010 => 0100101
0111010 => 1100110 => 0011001
0111011 => 1111100 => 0000011
0111100 => 1001110 => 0110001
0111101 => 1110110 => 0001001
0111110 => 1011110 => 0100001
0111111 => 1111110 => 0000001
1000000 => 1000000 => 0111111
1000001 => 1000010 => 0111101
1000010 => 1001000 => 0110111
1000011 => 1000110 => 0111001
1000100 => 1100000 => 0011111
1000101 => 1001100 => 0110011
1000110 => 1010010 => 0101101
1000111 => 1001110 => 0110001
1001000 => 1100000 => 0011111
1001001 => 1100100 => 0011011
1001010 => 1110000 => 0001111
1001011 => 1011010 => 0100101
1001100 => 1100100 => 0011011
1001101 => 1101100 => 0010011
1001110 => 1100110 => 0011001
1001111 => 1011110 => 0100001
1010000 => 1001000 => 0110111
1010001 => 1010010 => 0101101
1010010 => 1110000 => 0001111
1010011 => 1100110 => 0011001
1010100 => 1110000 => 0001111
1010101 => 1111000 => 0000111
1010110 => 1111000 => 0000111
1010111 => 1110110 => 0001001
1011000 => 1001100 => 0110011
1011001 => 1101100 => 0010011
1011010 => 1111000 => 0000111
1011011 => 1111100 => 0000011
1011100 => 1011010 => 0100101
1011101 => 1111100 => 0000011
1011110 => 1110110 => 0001001
1011111 => 1111110 => 0000001
1100000 => 1000010 => 0111101
1100001 => 1000110 => 0111001
1100010 => 1001100 => 0110011
1100011 => 1001110 => 0110001
1100100 => 1100100 => 0011011
1100101 => 1011010 => 0100101
1100110 => 1101100 => 0010011
1100111 => 1011110 => 0100001
1101000 => 1010010 => 0101101
1101001 => 1100110 => 0011001
1101010 => 1111000 => 0000111
1101011 => 1110110 => 0001001
1101100 => 1101100 => 0010011
1101101 => 1111100 => 0000011
1101110 => 1111100 => 0000011
1101111 => 1111110 => 0000001
1110000 => 1000110 => 0111001
1110001 => 1001110 => 0110001
1110010 => 1011010 => 0100101
1110011 => 1011110 => 0100001
1110100 => 1100110 => 0011001
1110101 => 1110110 => 0001001
1110110 => 1111100 => 0000011
1110111 => 1111110 => 0000001
1111000 => 1001110 => 0110001
1111001 => 1011110 => 0100001
1111010 => 1110110 => 0001001
1111011 => 1111110 => 0000001
1111100 => 1011110 => 0100001
1111101 => 1111110 => 0000001
1111110 => 1111110 => 0000001
1111111 => 1111111 => 0000000
00000000 => 00000000 => 11111111
00000001 => 10000000 => 01111111
00000010 => 10000000 => 01111111
00000011 => 10000010 => 01111101
00000100 => 10000000 => 01111111
00000101 => 10001000 => 01110111
00000110 => 10000010 => 01111101
00000111 => 10000110 => 01111001
00001000 => 10000000 => 01111111
00001001 => 10100000 => 01011111
00001010 => 10001000 => 01110111
00001011 => 10001100 => 01110011
00001100 => 10000010 => 01111101
00001101 => 10010010 => 01101101
00001110 => 10000110 => 01111001
00001111 => 10001110 => 01110001
00010000 => 10000000 => 01111111
00010001 => 11000000 => 00111111
00010010 => 10100000 => 01011111
00010011 => 10100100 => 01011011
00010100 => 10001000 => 01110111
00010101 => 10110000 => 01001111
00010110 => 10001100 => 01110011
00010111 => 10011010 => 01100101
00011000 => 10000010 => 01111101
00011001 => 11000010 => 00111101
00011010 => 10010010 => 01101101
00011011 => 10101100 => 01010011
00011100 => 10000110 => 01111001
00011101 => 10100110 => 01011001
00011110 => 10001110 => 01110001
00011111 => 10011110 => 01100001
00100000 => 10000000 => 01111111
00100001 => 10100000 => 01011111
00100010 => 11000000 => 00111111
00100011 => 11000010 => 00111101
00100100 => 10100000 => 01011111
00100101 => 11100000 => 00011111
00100110 => 10100100 => 01011011
00100111 => 11001010 => 00110101
00101000 => 10001000 => 01110111
00101001 => 11100000 => 00011111
00101010 => 10110000 => 01001111
00101011 => 10111000 => 01000111
00101100 => 10001100 => 01110011
00101101 => 11010100 => 00101011
00101110 => 10011010 => 01100101
00101111 => 10110110 => 01001001
00110000 => 10000010 => 01111101
00110001 => 10100100 => 01011011
00110010 => 11000010 => 00111101
00110011 => 11001100 => 00110011
00110100 => 10010010 => 01101101
00110101 => 11100010 => 00011101
00110110 => 10101100 => 01010011
00110111 => 10111100 => 01000011
00111000 => 10000110 => 01111001
00111001 => 11001010 => 00110101
00111010 => 10100110 => 01011001
00111011 => 11011010 => 00100101
00111100 => 10001110 => 01110001
00111101 => 11001110 => 00110001
00111110 => 10011110 => 01100001
00111111 => 10111110 => 01000001
01000000 => 10000000 => 01111111
01000001 => 10001000 => 01110111
01000010 => 10100000 => 01011111
01000011 => 10010010 => 01101101
01000100 => 11000000 => 00111111
01000101 => 10110000 => 01001111
01000110 => 11000010 => 00111101
01000111 => 10100110 => 01011001
01001000 => 10100000 => 01011111
01001001 => 11100000 => 00011111
01001010 => 11100000 => 00011111
01001011 => 11010100 => 00101011
01001100 => 10100100 => 01011011
01001101 => 11100010 => 00011101
01001110 => 11001010 => 00110101
01001111 => 11001110 => 00110001
01010000 => 10001000 => 01110111
01010001 => 10110000 => 01001111
01010010 => 11100000 => 00011111
01010011 => 11100010 => 00011101
01010100 => 10110000 => 01001111
01010101 => 11110000 => 00001111
01010110 => 10111000 => 01000111
01010111 => 11110010 => 00001101
01011000 => 10001100 => 01110011
01011001 => 10111000 => 01000111
01011010 => 11010100 => 00101011
01011011 => 11111000 => 00000111
01011100 => 10011010 => 01100101
01011101 => 11110010 => 00001101
01011110 => 10110110 => 01001001
01011111 => 11101110 => 00010001
01100000 => 10000010 => 01111101
01100001 => 10001100 => 01110011
01100010 => 10100100 => 01011011
01100011 => 10101100 => 01010011
01100100 => 11000010 => 00111101
01100101 => 10111000 => 01000111
01100110 => 11001100 => 00110011
01100111 => 11011010 => 00100101
01101000 => 10010010 => 01101101
01101001 => 11010100 => 00101011
01101010 => 11100010 => 00011101
01101011 => 11111000 => 00000111
01101100 => 10101100 => 01010011
01101101 => 11111000 => 00000111
01101110 => 10111100 => 01000011
01101111 => 11111010 => 00000101
01110000 => 10000110 => 01111001
01110001 => 10011010 => 01100101
01110010 => 11001010 => 00110101
01110011 => 10111100 => 01000011
01110100 => 10100110 => 01011001
01110101 => 11110010 => 00001101
01110110 => 11011010 => 00100101
01110111 => 11111100 => 00000011
01111000 => 10001110 => 01110001
01111001 => 10110110 => 01001001
01111010 => 11001110 => 00110001
01111011 => 11111010 => 00000101
01111100 => 10011110 => 01100001
01111101 => 11101110 => 00010001
01111110 => 10111110 => 01000001
01111111 => 11111110 => 00000001
10000000 => 10000000 => 01111111
10000001 => 10000010 => 01111101
10000010 => 10001000 => 01110111
10000011 => 10000110 => 01111001
10000100 => 10100000 => 01011111
10000101 => 10001100 => 01110011
10000110 => 10010010 => 01101101
10000111 => 10001110 => 01110001
10001000 => 11000000 => 00111111
10001001 => 10100100 => 01011011
10001010 => 10110000 => 01001111
10001011 => 10011010 => 01100101
10001100 => 11000010 => 00111101
10001101 => 10101100 => 01010011
10001110 => 10100110 => 01011001
10001111 => 10011110 => 01100001
10010000 => 10100000 => 01011111
10010001 => 11000010 => 00111101
10010010 => 11100000 => 00011111
10010011 => 11001010 => 00110101
10010100 => 11100000 => 00011111
10010101 => 10111000 => 01000111
10010110 => 11010100 => 00101011
10010111 => 10110110 => 01001001
10011000 => 10100100 => 01011011
10011001 => 11001100 => 00110011
10011010 => 11100010 => 00011101
10011011 => 10111100 => 01000011
10011100 => 11001010 => 00110101
10011101 => 11011010 => 00100101
10011110 => 11001110 => 00110001
10011111 => 10111110 => 01000001
10100000 => 10001000 => 01110111
10100001 => 10010010 => 01101101
10100010 => 10110000 => 01001111
10100011 => 10100110 => 01011001
10100100 => 11100000 => 00011111
10100101 => 11010100 => 00101011
10100110 => 11100010 => 00011101
10100111 => 11001110 => 00110001
10101000 => 10110000 => 01001111
10101001 => 11100010 => 00011101
10101010 => 11110000 => 00001111
10101011 => 11110010 => 00001101
10101100 => 10111000 => 01000111
10101101 => 11111000 => 00000111
10101110 => 11110010 => 00001101
10101111 => 11101110 => 00010001
10110000 => 10001100 => 01110011
10110001 => 10101100 => 01010011
10110010 => 10111000 => 01000111
10110011 => 11011010 => 00100101
10110100 => 11010100 => 00101011
10110101 => 11111000 => 00000111
10110110 => 11111000 => 00000111
10110111 => 11111010 => 00000101
10111000 => 10011010 => 01100101
10111001 => 10111100 => 01000011
10111010 => 11110010 => 00001101
10111011 => 11111100 => 00000011
10111100 => 10110110 => 01001001
10111101 => 11111010 => 00000101
10111110 => 11101110 => 00010001
10111111 => 11111110 => 00000001
11000000 => 10000010 => 01111101
11000001 => 10000110 => 01111001
11000010 => 10001100 => 01110011
11000011 => 10001110 => 01110001
11000100 => 10100100 => 01011011
11000101 => 10011010 => 01100101
11000110 => 10101100 => 01010011
11000111 => 10011110 => 01100001
11001000 => 11000010 => 00111101
11001001 => 11001010 => 00110101
11001010 => 10111000 => 01000111
11001011 => 10110110 => 01001001
11001100 => 11001100 => 00110011
11001101 => 10111100 => 01000011
11001110 => 11011010 => 00100101
11001111 => 10111110 => 01000001
11010000 => 10010010 => 01101101
11010001 => 10100110 => 01011001
11010010 => 11010100 => 00101011
11010011 => 11001110 => 00110001
11010100 => 11100010 => 00011101
11010101 => 11110010 => 00001101
11010110 => 11111000 => 00000111
11010111 => 11101110 => 00010001
11011000 => 10101100 => 01010011
11011001 => 11011010 => 00100101
11011010 => 11111000 => 00000111
11011011 => 11111010 => 00000101
11011100 => 10111100 => 01000011
11011101 => 11111100 => 00000011
11011110 => 11111010 => 00000101
11011111 => 11111110 => 00000001
11100000 => 10000110 => 01111001
11100001 => 10001110 => 01110001
11100010 => 10011010 => 01100101
11100011 => 10011110 => 01100001
11100100 => 11001010 => 00110101
11100101 => 10110110 => 01001001
11100110 => 10111100 => 01000011
11100111 => 10111110 => 01000001
11101000 => 10100110 => 01011001
11101001 => 11001110 => 00110001
11101010 => 11110010 => 00001101
11101011 => 11101110 => 00010001
11101100 => 11011010 => 00100101
11101101 => 11111010 => 00000101
11101110 => 11111100 => 00000011
11101111 => 11111110 => 00000001
11110000 => 10001110 => 01110001
11110001 => 10011110 => 01100001
11110010 => 10110110 => 01001001
11110011 => 10111110 => 01000001
11110100 => 11001110 => 00110001
11110101 => 11101110 => 00010001
11110110 => 11111010 => 00000101
11110111 => 11111110 => 00000001
11111000 => 10011110 => 01100001
11111001 => 10111110 => 01000001
11111010 => 11101110 => 00010001
11111011 => 11111110 => 00000001
11111100 => 10111110 => 01000001
11111101 => 11111110 => 00000001
11111110 => 11111110 => 00000001
11111111 => 11111111 => 00000000
000000000 => 000000000 => 111111111
000000001 => 100000000 => 011111111
000000010 => 100000000 => 011111111
000000011 => 100000010 => 011111101
000000100 => 100000000 => 011111111
000000101 => 100001000 => 011110111
000000110 => 100000010 => 011111101
000000111 => 100000110 => 011111001
000001000 => 100000000 => 011111111
000001001 => 100100000 => 011011111
000001010 => 100001000 => 011110111
000001011 => 100001100 => 011110011
000001100 => 100000010 => 011111101
000001101 => 100010010 => 011101101
000001110 => 100000110 => 011111001
000001111 => 100001110 => 011110001
000010000 => 100000000 => 011111111
000010001 => 110000000 => 001111111
000010010 => 100100000 => 011011111
000010011 => 100100100 => 011011011
000010100 => 100001000 => 011110111
000010101 => 100110000 => 011001111
000010110 => 100001100 => 011110011
000010111 => 100011010 => 011100101
000011000 => 100000010 => 011111101
000011001 => 101000010 => 010111101
000011010 => 100010010 => 011101101
000011011 => 100101100 => 011010011
000011100 => 100000110 => 011111001
000011101 => 100100110 => 011011001
000011110 => 100001110 => 011110001
000011111 => 100011110 => 011100001
000100000 => 100000000 => 011111111
000100001 => 110000000 => 001111111
000100010 => 110000000 => 001111111
000100011 => 110000100 => 001111011
000100100 => 100100000 => 011011111
000100101 => 101100000 => 010011111
000100110 => 100100100 => 011011011
000100111 => 101001010 => 010110101
000101000 => 100001000 => 011110111
000101001 => 110010000 => 001101111
000101010 => 100110000 => 011001111
000101011 => 100111000 => 011000111
000101100 => 100001100 => 011110011
000101101 => 101010100 => 010101011
000101110 => 100011010 => 011100101
000101111 => 100110110 => 011001001
000110000 => 100000010 => 011111101
000110001 => 110000100 => 001111011
000110010 => 101000010 => 010111101
000110011 => 110001100 => 001110011
000110100 => 100010010 => 011101101
000110101 => 101100010 => 010011101
000110110 => 100101100 => 011010011
000110111 => 100111100 => 011000011
000111000 => 100000110 => 011111001
000111001 => 110000110 => 001111001
000111010 => 100100110 => 011011001
000111011 => 101011010 => 010100101
000111100 => 100001110 => 011110001
000111101 => 101001110 => 010110001
000111110 => 100011110 => 011100001
000111111 => 100111110 => 011000001
001000000 => 100000000 => 011111111
001000001 => 100100000 => 011011111
001000010 => 110000000 => 001111111
001000011 => 101000010 => 010111101
001000100 => 110000000 => 001111111
001000101 => 110010000 => 001101111
001000110 => 110000100 => 001111011
001000111 => 110000110 => 001111001
001001000 => 100100000 => 011011111
001001001 => 111000000 => 000111111
001001010 => 101100000 => 010011111
001001011 => 110011000 => 001100111
001001100 => 100100100 => 011011011
001001101 => 111000010 => 000111101
001001110 => 101001010 => 010110101
001001111 => 110010110 => 001101001
001010000 => 100001000 => 011110111
001010001 => 101100000 => 010011111
001010010 => 110010000 => 001101111
001010011 => 111001000 => 000110111
001010100 => 100110000 => 011001111
001010101 => 111100000 => 000011111
001010110 => 100111000 => 011000111
001010111 => 101110010 => 010001101
001011000 => 100001100 => 011110011
001011001 => 110011000 => 001100111
001011010 => 101010100 => 010101011
001011011 => 101111000 => 010000111
001011100 => 100011010 => 011100101
001011101 => 110101010 => 001010101
001011110 => 100110110 => 011001001
001011111 => 101101110 => 010010001
001100000 => 100000010 => 011111101
001100001 => 100100100 => 011011011
001100010 => 110000100 => 001111011
001100011 => 110001100 => 001110011
001100100 => 101000010 => 010111101
001100101 => 111001000 => 000110111
001100110 => 110001100 => 001110011
001100111 => 110011100 => 001100011
001101000 => 100010010 => 011101101
001101001 => 111000010 => 000111101
001101010 => 101100010 => 010011101
001101011 => 111011000 => 000100111
001101100 => 100101100 => 011010011
001101101 => 111001100 => 000110011
001101110 => 100111100 => 011000011
001101111 => 101111010 => 010000101
001110000 => 100000110 => 011111001
001110001 => 101001010 => 010110101
001110010 => 110000110 => 001111001
001110011 => 110011100 => 001100011
001110100 => 100100110 => 011011001
001110101 => 111000110 => 000111001
001110110 => 101011010 => 010100101
001110111 => 110111100 => 001000011
001111000 => 100001110 => 011110001
001111001 => 110010110 => 001101001
001111010 => 101001110 => 010110001
001111011 => 110110110 => 001001001
001111100 => 100011110 => 011100001
001111101 => 110011110 => 001100001
001111110 => 100111110 => 011000001
001111111 => 101111110 => 010000001
010000000 => 100000000 => 011111111
010000001 => 100001000 => 011110111
010000010 => 100100000 => 011011111
010000011 => 100010010 => 011101101
010000100 => 110000000 => 001111111
010000101 => 100110000 => 011001111
010000110 => 101000010 => 010111101
010000111 => 100100110 => 011011001
010001000 => 110000000 => 001111111
010001001 => 101100000 => 010011111
010001010 => 110010000 => 001101111
010001011 => 101010100 => 010101011
010001100 => 110000100 => 001111011
010001101 => 101100010 => 010011101
010001110 => 110000110 => 001111001
010001111 => 101001110 => 010110001
010010000 => 100100000 => 011011111
010010001 => 110010000 => 001101111
010010010 => 111000000 => 000111111
010010011 => 111000010 => 000111101
010010100 => 101100000 => 010011111
010010101 => 111100000 => 000011111
010010110 => 110011000 => 001100111
010010111 => 110101010 => 001010101
010011000 => 100100100 => 011011011
010011001 => 111001000 => 000110111
010011010 => 111000010 => 000111101
010011011 => 111001100 => 000110011
010011100 => 101001010 => 010110101
010011101 => 111000110 => 000111001
010011110 => 110010110 => 001101001
010011111 => 110011110 => 001100001
010100000 => 100001000 => 011110111
010100001 => 100110000 => 011001111
010100010 => 101100000 => 010011111
010100011 => 101100010 => 010011101
010100100 => 110010000 => 001101111
010100101 => 111100000 => 000011111
010100110 => 111001000 => 000110111
010100111 => 111000110 => 000111001
010101000 => 100110000 => 011001111
010101001 => 111100000 => 000011111
010101010 => 111100000 => 000011111
010101011 => 111110000 => 000001111
010101100 => 100111000 => 011000111
010101101 => 111110000 => 000001111
010101110 => 101110010 => 010001101
010101111 => 111100110 => 000011001
010110000 => 100001100 => 011110011
010110001 => 100111000 => 011000111
010110010 => 110011000 => 001100111
010110011 => 111011000 => 000100111
010110100 => 101010100 => 010101011
010110101 => 111110000 => 000001111
010110110 => 101111000 => 010000111
010110111 => 111101100 => 000010011
010111000 => 100011010 => 011100101
010111001 => 101110010 => 010001101
010111010 => 110101010 => 001010101
010111011 => 111110010 => 000001101
010111100 => 100110110 => 011001001
010111101 => 111100110 => 000011001
010111110 => 101101110 => 010010001
010111111 => 111011110 => 000100001
011000000 => 100000010 => 011111101
011000001 => 100001100 => 011110011
011000010 => 100100100 => 011011011
011000011 => 100101100 => 011010011
011000100 => 110000100 => 001111011
011000101 => 100111000 => 011000111
011000110 => 110001100 => 001110011
011000111 => 101011010 => 010100101
011001000 => 101000010 => 010111101
011001001 => 110011000 => 001100111
011001010 => 111001000 => 000110111
011001011 => 101111000 => 010000111
011001100 => 110001100 => 001110011
011001101 => 111011000 => 000100111
011001110 => 110011100 => 001100011
011001111 => 110110110 => 001001001
011010000 => 100010010 => 011101101
011010001 => 101010100 => 010101011
011010010 => 111000010 => 000111101
011010011 => 111001100 => 000110011
011010100 => 101100010 => 010011101
011010101 => 111110000 => 000001111
011010110 => 111011000 => 000100111
011010111 => 111110010 => 000001101
011011000 => 100101100 => 011010011
011011001 => 101111000 => 010000111
011011010 => 111001100 => 000110011
011011011 => 111111000 => 000000111
011011100 => 100111100 => 011000011
011011101 => 111101100 => 000010011
011011110 => 101111010 => 010000101
011011111 => 111110110 => 000001001
011100000 => 100000110 => 011111001
011100001 => 100011010 => 011100101
011100010 => 101001010 => 010110101
011100011 => 100111100 => 011000011
011100100 => 110000110 => 001111001
011100101 => 101110010 => 010001101
011100110 => 110011100 => 001100011
011100111 => 110111100 => 001000011
011101000 => 100100110 => 011011001
011101001 => 110101010 => 001010101
011101010 => 111000110 => 000111001
011101011 => 111101100 => 000010011
011101100 => 101011010 => 010100101
011101101 => 111110010 => 000001101
011101110 => 110111100 => 001000011
011101111 => 111111100 => 000000011
011110000 => 100001110 => 011110001
011110001 => 100110110 => 011001001
011110010 => 110010110 => 001101001
011110011 => 101111010 => 010000101
011110100 => 101001110 => 010110001
011110101 => 111100110 => 000011001
011110110 => 110110110 => 001001001
011110111 => 111111100 => 000000011
011111000 => 100011110 => 011100001
011111001 => 101101110 => 010010001
011111010 => 110011110 => 001100001
011111011 => 111110110 => 000001001
011111100 => 100111110 => 011000001
011111101 => 111011110 => 000100001
011111110 => 101111110 => 010000001
011111111 => 111111110 => 000000001
100000000 => 100000000 => 011111111
100000001 => 100000010 => 011111101
100000010 => 100001000 => 011110111
100000011 => 100000110 => 011111001
100000100 => 100100000 => 011011111
100000101 => 100001100 => 011110011
100000110 => 100010010 => 011101101
100000111 => 100001110 => 011110001
100001000 => 110000000 => 001111111
100001001 => 100100100 => 011011011
100001010 => 100110000 => 011001111
100001011 => 100011010 => 011100101
100001100 => 101000010 => 010111101
100001101 => 100101100 => 011010011
100001110 => 100100110 => 011011001
100001111 => 100011110 => 011100001
100010000 => 110000000 => 001111111
100010001 => 110000100 => 001111011
100010010 => 101100000 => 010011111
100010011 => 101001010 => 010110101
100010100 => 110010000 => 001101111
100010101 => 100111000 => 011000111
100010110 => 101010100 => 010101011
100010111 => 100110110 => 011001001
100011000 => 110000100 => 001111011
100011001 => 110001100 => 001110011
100011010 => 101100010 => 010011101
100011011 => 100111100 => 011000011
100011100 => 110000110 => 001111001
100011101 => 101011010 => 010100101
100011110 => 101001110 => 010110001
100011111 => 100111110 => 011000001
100100000 => 100100000 => 011011111
100100001 => 101000010 => 010111101
100100010 => 110010000 => 001101111
100100011 => 110000110 => 001111001
100100100 => 111000000 => 000111111
100100101 => 110011000 => 001100111
100100110 => 111000010 => 000111101
100100111 => 110010110 => 001101001
100101000 => 101100000 => 010011111
100101001 => 111001000 => 000110111
100101010 => 111100000 => 000011111
100101011 => 101110010 => 010001101
100101100 => 110011000 => 001100111
100101101 => 101111000 => 010000111
100101110 => 110101010 => 001010101
100101111 => 101101110 => 010010001
100110000 => 100100100 => 011011011
100110001 => 110001100 => 001110011
100110010 => 111001000 => 000110111
100110011 => 110011100 => 001100011
100110100 => 111000010 => 000111101
100110101 => 111011000 => 000100111
100110110 => 111001100 => 000110011
100110111 => 101111010 => 010000101
100111000 => 101001010 => 010110101
100111001 => 110011100 => 001100011
100111010 => 111000110 => 000111001
100111011 => 110111100 => 001000011
100111100 => 110010110 => 001101001
100111101 => 110110110 => 001001001
100111110 => 110011110 => 001100001
100111111 => 101111110 => 010000001
101000000 => 100001000 => 011110111
101000001 => 100010010 => 011101101
101000010 => 100110000 => 011001111
101000011 => 100100110 => 011011001
101000100 => 101100000 => 010011111
101000101 => 101010100 => 010101011
101000110 => 101100010 => 010011101
101000111 => 101001110 => 010110001
101001000 => 110010000 => 001101111
101001001 => 111000010 => 000111101
101001010 => 111100000 => 000011111
101001011 => 110101010 => 001010101
101001100 => 111001000 => 000110111
101001101 => 111001100 => 000110011
101001110 => 111000110 => 000111001
101001111 => 110011110 => 001100001
101010000 => 100110000 => 011001111
101010001 => 101100010 => 010011101
101010010 => 111100000 => 000011111
101010011 => 111000110 => 000111001
101010100 => 111100000 => 000011111
101010101 => 111110000 => 000001111
101010110 => 111110000 => 000001111
101010111 => 111100110 => 000011001
101011000 => 100111000 => 011000111
101011001 => 111011000 => 000100111
101011010 => 111110000 => 000001111
101011011 => 111101100 => 000010011
101011100 => 101110010 => 010001101
101011101 => 111110010 => 000001101
101011110 => 111100110 => 000011001
101011111 => 111011110 => 000100001
101100000 => 100001100 => 011110011
101100001 => 100101100 => 011010011
101100010 => 100111000 => 011000111
101100011 => 101011010 => 010100101
101100100 => 110011000 => 001100111
101100101 => 101111000 => 010000111
101100110 => 111011000 => 000100111
101100111 => 110110110 => 001001001
101101000 => 101010100 => 010101011
101101001 => 111001100 => 000110011
101101010 => 111110000 => 000001111
101101011 => 111110010 => 000001101
101101100 => 101111000 => 010000111
101101101 => 111111000 => 000000111
101101110 => 111101100 => 000010011
101101111 => 111110110 => 000001001
101110000 => 100011010 => 011100101
101110001 => 100111100 => 011000011
101110010 => 101110010 => 010001101
101110011 => 110111100 => 001000011
101110100 => 110101010 => 001010101
101110101 => 111101100 => 000010011
101110110 => 111110010 => 000001101
101110111 => 111111100 => 000000011
101111000 => 100110110 => 011001001
101111001 => 101111010 => 010000101
101111010 => 111100110 => 000011001
101111011 => 111111100 => 000000011
101111100 => 101101110 => 010010001
101111101 => 111110110 => 000001001
101111110 => 111011110 => 000100001
101111111 => 111111110 => 000000001
110000000 => 100000010 => 011111101
110000001 => 100000110 => 011111001
110000010 => 100001100 => 011110011
110000011 => 100001110 => 011110001
110000100 => 100100100 => 011011011
110000101 => 100011010 => 011100101
110000110 => 100101100 => 011010011
110000111 => 100011110 => 011100001
110001000 => 110000100 => 001111011
110001001 => 101001010 => 010110101
110001010 => 100111000 => 011000111
110001011 => 100110110 => 011001001
110001100 => 110001100 => 001110011
110001101 => 100111100 => 011000011
110001110 => 101011010 => 010100101
110001111 => 100111110 => 011000001
110010000 => 101000010 => 010111101
110010001 => 110000110 => 001111001
110010010 => 110011000 => 001100111
110010011 => 110010110 => 001101001
110010100 => 111001000 => 000110111
110010101 => 101110010 => 010001101
110010110 => 101111000 => 010000111
110010111 => 101101110 => 010010001
110011000 => 110001100 => 001110011
110011001 => 110011100 => 001100011
110011010 => 111011000 => 000100111
110011011 => 101111010 => 010000101
110011100 => 110011100 => 001100011
110011101 => 110111100 => 001000011
110011110 => 110110110 => 001001001
110011111 => 101111110 => 010000001
110100000 => 100010010 => 011101101
110100001 => 100100110 => 011011001
110100010 => 101010100 => 010101011
110100011 => 101001110 => 010110001
110100100 => 111000010 => 000111101
110100101 => 110101010 => 001010101
110100110 => 111001100 => 000110011
110100111 => 110011110 => 001100001
110101000 => 101100010 => 010011101
110101001 => 111000110 => 000111001
110101010 => 111110000 => 000001111
110101011 => 111100110 => 000011001
110101100 => 111011000 => 000100111
110101101 => 111101100 => 000010011
110101110 => 111110010 => 000001101
110101111 => 111011110 => 000100001
110110000 => 100101100 => 011010011
110110001 => 101011010 => 010100101
110110010 => 101111000 => 010000111
110110011 => 110110110 => 001001001
110110100 => 111001100 => 000110011
110110101 => 111110010 => 000001101
110110110 => 111111000 => 000000111
110110111 => 111110110 => 000001001
110111000 => 100111100 => 011000011
110111001 => 110111100 => 001000011
110111010 => 111101100 => 000010011
110111011 => 111111100 => 000000011
110111100 => 101111010 => 010000101
110111101 => 111111100 => 000000011
110111110 => 111110110 => 000001001
110111111 => 111111110 => 000000001
111000000 => 100000110 => 011111001
111000001 => 100001110 => 011110001
111000010 => 100011010 => 011100101
111000011 => 100011110 => 011100001
111000100 => 101001010 => 010110101
111000101 => 100110110 => 011001001
111000110 => 100111100 => 011000011
111000111 => 100111110 => 011000001
111001000 => 110000110 => 001111001
111001001 => 110010110 => 001101001
111001010 => 101110010 => 010001101
111001011 => 101101110 => 010010001
111001100 => 110011100 => 001100011
111001101 => 101111010 => 010000101
111001110 => 110111100 => 001000011
111001111 => 101111110 => 010000001
111010000 => 100100110 => 011011001
111010001 => 101001110 => 010110001
111010010 => 110101010 => 001010101
111010011 => 110011110 => 001100001
111010100 => 111000110 => 000111001
111010101 => 111100110 => 000011001
111010110 => 111101100 => 000010011
111010111 => 111011110 => 000100001
111011000 => 101011010 => 010100101
111011001 => 110110110 => 001001001
111011010 => 111110010 => 000001101
111011011 => 111110110 => 000001001
111011100 => 110111100 => 001000011
111011101 => 111111100 => 000000011
111011110 => 111111100 => 000000011
111011111 => 111111110 => 000000001
111100000 => 100001110 => 011110001
111100001 => 100011110 => 011100001
111100010 => 100110110 => 011001001
111100011 => 100111110 => 011000001
111100100 => 110010110 => 001101001
111100101 => 101101110 => 010010001
111100110 => 101111010 => 010000101
111100111 => 101111110 => 010000001
111101000 => 101001110 => 010110001
111101001 => 110011110 => 001100001
111101010 => 111100110 => 000011001
111101011 => 111011110 => 000100001
111101100 => 110110110 => 001001001
111101101 => 111110110 => 000001001
111101110 => 111111100 => 000000011
111101111 => 111111110 => 000000001
111110000 => 100011110 => 011100001
111110001 => 100111110 => 011000001
111110010 => 101101110 => 010010001
111110011 => 101111110 => 010000001
111110100 => 110011110 => 001100001
111110101 => 111011110 => 000100001
111110110 => 111110110 => 000001001
111110111 => 111111110 => 000000001
111111000 => 100111110 => 011000001
111111001 => 101111110 => 010000001
111111010 => 111011110 => 000100001
111111011 => 111111110 => 000000001
111111100 => 101111110 => 010000001
111111101 => 111111110 => 000000001
111111110 => 111111110 => 000000001
111111111 => 111111111 => 000000000
1010101010 => 1111100000 => 0000011111
1010101100 => 1011110000 => 0100001111
1010110010 => 1011110000 => 0100001111
1010110100 => 1101101000 => 0010010111
1010111000 => 1001110010 => 0110001101
1011001010 => 1011110000 => 0100001111
1011001100 => 1100111000 => 0011000111
1011010010 => 1101101000 => 0010010111
1011010100 => 1110100100 => 0001011011
1011011000 => 1001111000 => 0110000111
1011100010 => 1001110010 => 0110001101
1011100100 => 1100110010 => 0011001101
1011101000 => 1010101010 => 0101010101
1011110000 => 1000110110 => 0111001001
1100101010 => 1011110000 => 0100001111
1100101100 => 1100111000 => 0011000111
1100110010 => 1100111000 => 0011000111
1100110100 => 1110001100 => 0001110011
1100111000 => 1010011100 => 0101100011
1101001010 => 1101101000 => 0010010111
1101001100 => 1110001100 => 0001110011
1101010010 => 1110100100 => 0001011011
1101010100 => 1111000010 => 0000111101
1101011000 => 1011011000 => 0100100111
1101100010 => 1001111000 => 0110000111
1101100100 => 1101010100 => 0010101011
1101101000 => 1011001100 => 0100110011
1101110000 => 1000111100 => 0111000011
1110001010 => 1001110010 => 0110001101
1110001100 => 1010011100 => 0101100011
1110010010 => 1100110010 => 0011001101
1110010100 => 1110010010 => 0001101101
1110011000 => 1100011010 => 0011100101
1110100010 => 1010101010 => 0101010101
1110100100 => 1110000110 => 0001111001
1110101000 => 1011000110 => 0100111001
1110110000 => 1001011010 => 0110100101
1111000010 => 1000110110 => 0111001001
1111000100 => 1010010110 => 0101101001
1111001000 => 1100001110 => 0011110001
1111010000 => 1001001110 => 0110110001
1111100000 => 1000011110 => 0111100001
101010101010 => 111111000000 => 000000111111
101010101100 => 101111100000 => 010000011111
101010110010 => 101111100000 => 010000011111
101010110100 => 110111010000 => 001000101111
101010111000 => 100111100010 => 011000011101
101011001010 => 101111100000 => 010000011111
101011001100 => 110101110000 => 001010001111
101011010010 => 110111010000 => 001000101111
101011010100 => 111011001000 => 000100110111
101011011000 => 100111101000 => 011000010111
101011100010 => 100111100010 => 011000011101
101011100100 => 110011100010 => 001100011101
101011101000 => 101011010010 => 010100101101
101011110000 => 100011100110 => 011100011001
101100101010 => 101111100000 => 010000011111
101100101100 => 110011110000 => 001100001111
101100110010 => 110101110000 => 001010001111
101100110100 => 111010011000 => 000101100111
101100111000 => 101010110100 => 010101001011
101101001010 => 110111010000 => 001000101111
101101001100 => 111001101000 => 000110010111
101101010010 => 111011001000 => 000100110111
101101010100 => 111101000100 => 000010111011
101101011000 => 101011110000 => 010100001111
101101100010 => 100111101000 => 011000010111
101101100100 => 110011101000 => 001100010111
101101101000 => 101011011000 => 010100100111
101101110000 => 100011101100 => 011100010011
101110001010 => 100111100010 => 011000011101
101110001100 => 110001110100 => 001110001011
101110010010 => 110011100010 => 001100011101
101110010100 => 111001100010 => 000110011101
101110011000 => 101001110010 => 010110001101
101110100010 => 101011010010 => 010100101101
101110100100 => 111001001010 => 000110110101
101110101000 => 101101001010 => 010010110101
101110110000 => 100011110010 => 011100001101
101111000010 => 100011100110 => 011100011001
101111000100 => 101001100110 => 010110011001
101111001000 => 110001010110 => 001110101001
101111010000 => 100101010110 => 011010101001
101111100000 => 100001101110 => 011110010001
110010101010 => 101111100000 => 010000011111
110010101100 => 110101110000 => 001010001111
110010110010 => 110011110000 => 001100001111
110010110100 => 111001101000 => 000110010111
110010111000 => 110001110100 => 001110001011
110011001010 => 110101110000 => 001010001111
110011001100 => 111000111000 => 000111000111
110011010010 => 111010011000 => 000101100111
110011010100 => 111100010100 => 000011101011
110011011000 => 101100111000 => 010011000111
110011100010 => 101010110100 => 010101001011
110011100100 => 111000101100 => 000111010011
110011101000 => 101100011010 => 010011100101
110011110000 => 100100111010 => 011011000101
110100101010 => 110111010000 => 001000101111
110100101100 => 111010011000 => 000101100111
110100110010 => 111001101000 => 000110010111
110100110100 => 111100001100 => 000011110011
110100111000 => 101100101100 => 010011010011
110101001010 => 111011001000 => 000100110111
110101001100 => 111100010100 => 000011101011
110101010010 => 111101000100 => 000010111011
110101010100 => 111110000010 => 000001111101
110101011000 => 101110110000 => 010001001111
110101100010 => 101011110000 => 010100001111
110101100100 => 110110101000 => 001001010111
110101101000 => 101110011000 => 010001100111
110101110000 => 100101110100 => 011010001011
110110001010 => 100111101000 => 011000010111
110110001100 => 101100111000 => 010011000111
110110010010 => 110011101000 => 001100010111
110110010100 => 111010100100 => 000101011011
110110011000 => 110010111000 => 001101000111
110110100010 => 101011011000 => 010100100111
110110100100 => 111010001100 => 000101110011
110110101000 => 101110001100 => 010001110011
110110110000 => 100110111000 => 011001000111
110111000010 => 100011101100 => 011100010011
110111000100 => 101001101100 => 010110010011
110111001000 => 110001011100 => 001110100011
110111010000 => 100101011100 => 011010100011
110111100000 => 100001111010 => 011110000101
111000101010 => 100111100010 => 011000011101
111000101100 => 101010110100 => 010101001011
111000110010 => 110001110100 => 001110001011
111000110100 => 101100101100 => 010011010011
111000111000 => 110000111100 => 001111000011
111001001010 => 110011100010 => 001100011101
111001001100 => 111000101100 => 000111010011
111001010010 => 111001100010 => 000110011101
111001010100 => 111100100010 => 000011011101
111001011000 => 110010110010 => 001101001101
111001100010 => 101001110010 => 010110001101
111001100100 => 111000110010 => 000111001101
111001101000 => 110100011100 => 001011100011
111001110000 => 101000111100 => 010111000011
111010001010 => 101011010010 => 010100101101
111010001100 => 101100011010 => 010011100101
111010010010 => 111001001010 => 000110110101
111010010100 => 111100001010 => 000011110101
111010011000 => 110100101010 => 001011010101
111010100010 => 101101001010 => 010010110101
111010100100 => 111010000110 => 000101111001
111010101000 => 101110000110 => 010001111001
111010110000 => 100110110010 => 011001001101
111011000010 => 100011110010 => 011100001101
111011000100 => 101010101010 => 010101010101
111011001000 => 110010011010 => 001101100101
111011010000 => 100110011010 => 011001100101
111011100000 => 100010111100 => 011101000011
111100001010 => 100011100110 => 011100011001
111100001100 => 100100111010 => 011011000101
111100010010 => 101001100110 => 010110011001
111100010100 => 101100100110 => 010011011001
111100011000 => 110000111010 => 001111000101
111100100010 => 110001010110 => 001110101001
111100100100 => 111000100110 => 000111011001
111100101000 => 110100010110 => 001011101001
111100110000 => 101000110110 => 010111001001
111101000010 => 100101010110 => 011010101001
111101000100 => 101100001110 => 010011110001
111101001000 => 110010001110 => 001101110001
111101010000 => 100110001110 => 011001110001
111101100000 => 100010110110 => 011101001001
111110000010 => 100001101110 => 011110010001
111110000100 => 100100101110 => 011011010001
111110001000 => 110000101110 => 001111010001
111110010000 => 101000011110 => 010111100001
111110100000 => 100010011110 => 011101100001
111111000000 => 100000111110 => 011111000001
1111111111 => 1111111111 => 0000000000
1111111110 => 1111111110 => 0000000001
1111111001 => 1011111110 => 0100000001
1111101101 => 1111101110 => 0000010001
1111101011 => 1110111110 => 0001000001
1111100111 => 1011111110 => 0100000001
1111100001 => 1000111110 => 0111000001
1110111101 => 1111111100 => 0000000011
1110110111 => 1111101110 => 0000010001
1110110001 => 1010110110 => 0101001001
1110101011 => 1111001110 => 0000110001
1110100101 => 1101010110 => 0010101001
1110011111 => 1011111110 => 0100000001
1110011001 => 1100111010 => 0011000101
1110001101 => 1001111010 => 0110000101
1110000111 => 1000111110 => 0111000001
1110000001 => 1000001110 => 0111110001
1101111110 => 1111101110 => 0000010001
1101111011 => 1111111100 => 0000000011
1101011111 => 1110111110 => 0001000001
1101011011 => 1111011010 => 0000100101
1101010111 => 1111001110 => 0000110001
1101010101 => 1111100010 => 0000011101
1101010011 => 1110001110 => 0001110001
1101010001 => 1011000110 => 0100111001
1101001011 => 1101010110 => 0010101001
1101000011 => 1001001110 => 0110110001
1100101011 => 1011100110 => 0100011001
1100001011 => 1000110110 => 0111001001
1011111110 => 1110111110 => 0001000001
1011111101 => 1111101110 => 0000010001
1011110111 => 1111111100 => 0000000011
1011110001 => 1001111010 => 0110000101
1011100101 => 1011101100 => 0100010011
1011011111 => 1111101110 => 0000010001
1011011001 => 1110111000 => 0001000111
1011001101 => 1110111000 => 0001000111
1011000111 => 1010110110 => 0101001001
1011000001 => 1000101100 => 0111010011
1010111110 => 1111001110 => 0000110001
1010110101 => 1111110000 => 0000001111
1010101011 => 1111100010 => 0000011101
1010011101 => 1110011010 => 0001100101
1010010111 => 1101010110 => 0010101001
1010010001 => 1100100010 => 0011011101
1010000101 => 1001010100 => 0110101011
1001111111 => 1011111110 => 0100000001
1001111110 => 1100111110 => 0011000001
1001111001 => 1100111010 => 0011000101
1001101101 => 1110111000 => 0001000111
1001100111 => 1100111010 => 0011000101
1001100001 => 1010001100 => 0101110011
1001011110 => 1101010110 => 0010101001
1000111110 => 1010011110 => 0101100001
1000111101 => 1010110110 => 0101001001
1000110111 => 1001111010 => 0110000101
1000110001 => 1100001100 => 0011110011
1000101110 => 1010101010 => 0101010101
1000101011 => 1001110010 => 0110001101
1000100101 => 1010011000 => 0101100111
1000011111 => 1000111110 => 0111000001
1000011110 => 1001001110 => 0110110001
1000011001 => 1010001100 => 0101110011
1000010110 => 1001010100 => 0110101011
1000001110 => 1000100110 => 0111011001
1000001101 => 1000101100 => 0111010011
1000001010 => 1000110000 => 0111001111
1000000111 => 1000001110 => 0111110001
1000000110 => 1000010010 => 0111101101
1000000100 => 1000100000 => 0111011111
1000000010 => 1000001000 => 0111110111
1000000001 => 1000000010 => 0111111101
1000000000 => 1000000000 => 0111111111
10000000000 => 10000000000 => 01111111111
10000000010 => 10000001000 => 01111110111
10000000110 => 10000010010 => 01111101101
10000001110 => 10000100110 => 01111011001
10000011110 => 10001001110 => 01110110001
10000111110 => 10010011110 => 01101100001
10001111110 => 10100111110 => 01011000001
10011111110 => 11001111110 => 00110000001
10111111110 => 11101111110 => 00010000001
11111111110 => 11111111110 => 00000000001
0111111111 => 1111111110 => 0000000001
0111111101 => 1110111110 => 0001000001
0111111001 => 1011011110 => 0100100001
0111110001 => 1001101110 => 0110010001
0111100001 => 1000110110 => 0111001001
0111000001 => 1000011010 => 0111100101
0110000001 => 1000001100 => 0111110011
0100000001 => 1000001000 => 0111110111
0000000001 => 1000000000 => 0111111111
01111111111 => 11111111110 => 00000000001
01111111101 => 11101111110 => 00010000001
0111111011 => 1111101110 => 0000010001
01111111001 => 10110111110 => 01001000001
0111110101 => 1111001110 => 0000110001
01111110001 => 10011011110 => 01100100001
0111101001 => 1101010110 => 0010101001
01111100001 => 10001101110 => 01110010001
0111010001 => 1010101010 => 0101010101
01111000001 => 10000110110 => 01111001001
0110100001 => 1001010100 => 0110101011
01110000001 => 10000011010 => 01111100101
0101000001 => 1000110000 => 0111001111
01100000001 => 10000001100 => 01111110011
0010000001 => 1000100000 => 0111011111
01000000001 => 10000001000 => 01111110111
00000000001 => 10000000000 => 01111111111
0101010101 => 1111100000 => 0000011111
0101010011 => 1111000010 => 0000111101
0101001101 => 1111000010 => 0000111101
0101001011 => 1110100100 => 0001011011
0101000111 => 1011000110 => 0100111001
0100110101 => 1111000010 => 0000111101
0100110011 => 1110001100 => 0001110011
0100101101 => 1110100100 => 0001011011
0100101011 => 1101101000 => 0010010111
0100100111 => 1110000110 => 0001111001
0100011101 => 1011000110 => 0100111001
0100011011 => 1011001100 => 0100110011
0100010111 => 1010101010 => 0101010101
0100001111 => 1001001110 => 0110110001
0011010101 => 1111000010 => 0000111101
0011010011 => 1110001100 => 0001110011
0011001101 => 1110001100 => 0001110011
0011001011 => 1100111000 => 0011000111
0011000111 => 1100011010 => 0011100101
0010110101 => 1110100100 => 0001011011
0010110011 => 1100111000 => 0011000111
0010101101 => 1101101000 => 0010010111
0010101011 => 1011110000 => 0100001111
0010100111 => 1110010010 => 0001101101
0010011101 => 1110000110 => 0001111001
0010011011 => 1101010100 => 0010101011
0010010111 => 1100110010 => 0011001101
0010001111 => 1100001110 => 0011110001
0001110101 => 1011000110 => 0100111001
0001110011 => 1100011010 => 0011100101
0001101101 => 1011001100 => 0100110011
0001101011 => 1011011000 => 0100100111
0001100111 => 1010011100 => 0101100011
0001011101 => 1010101010 => 0101010101
0001011011 => 1001111000 => 0110000111
0001010111 => 1001110010 => 0110001101
0001001111 => 1010010110 => 0101101001
0000111101 => 1001001110 => 0110110001
0000111011 => 1001011010 => 0110100101
0000110111 => 1000111100 => 0111000011
0000101111 => 1000110110 => 0111001001
0000011111 => 1000011110 => 0111100001
010101010101 => 111111000000 => 000000111111
010101010011 => 111110000010 => 000001111101
010101001101 => 111110000010 => 000001111101
010101001011 => 111101000100 => 000010111011
010101000111 => 101110000110 => 010001111001
010100110101 => 111110000010 => 000001111101
010100110011 => 111100010100 => 000011101011
010100101101 => 111101000100 => 000010111011
010100101011 => 111011001000 => 000100110111
010100100111 => 111010000110 => 000101111001
010100011101 => 101110000110 => 010001111001
010100011011 => 101110001100 => 010001110011
010100010111 => 101101001010 => 010010110101
010100001111 => 100110001110 => 011001110001
010011010101 => 111110000010 => 000001111101
010011010011 => 111100001100 => 000011110011
010011001101 => 111100010100 => 000011101011
010011001011 => 111001101000 => 000110010111
010011000111 => 110100101010 => 001011010101
010010110101 => 111101000100 => 000010111011
010010110011 => 111010011000 => 000101100111
010010101101 => 111011001000 => 000100110111
010010101011 => 110111010000 => 001000101111
010010100111 => 111100001010 => 000011110101
010010011101 => 111010000110 => 000101111001
010010011011 => 111010001100 => 000101110011
010010010111 => 111001001010 => 000110110101
010010001111 => 110010001110 => 001101110001
010001110101 => 101110000110 => 010001111001
010001110011 => 110100011100 => 001011100011
010001101101 => 101110001100 => 010001110011
010001101011 => 101110011000 => 010001100111
010001100111 => 101100011010 => 010011100101
010001011101 => 101101001010 => 010010110101
010001011011 => 101011011000 => 010100100111
010001010111 => 101011010010 => 010100101101
010001001111 => 101100001110 => 010011110001
010000111101 => 100110001110 => 011001110001
010000111011 => 100110011010 => 011001100101
010000110111 => 100101011100 => 011010100011
010000101111 => 100101010110 => 011010101001
010000011111 => 100010011110 => 011101100001
001101010101 => 111110000010 => 000001111101
001101010011 => 111100010100 => 000011101011
001101001101 => 111100001100 => 000011110011
001101001011 => 111010011000 => 000101100111
001101000111 => 110100011100 => 001011100011
001100110101 => 111100010100 => 000011101011
001100110011 => 111000111000 => 000111000111
001100101101 => 111001101000 => 000110010111
001100101011 => 110101110000 => 001010001111
001100100111 => 111000110010 => 000111001101
001100011101 => 110100101010 => 001011010101
001100011011 => 110010111000 => 001101000111
001100010111 => 101001110010 => 010110001101
001100001111 => 101000110110 => 010111001001
001011010101 => 111101000100 => 000010111011
001011010011 => 111001101000 => 000110010111
001011001101 => 111010011000 => 000101100111
001011001011 => 110011110000 => 001100001111
001011000111 => 110010110010 => 001101001101
001010110101 => 111011001000 => 000100110111
001010110011 => 110101110000 => 001010001111
001010101101 => 110111010000 => 001000101111
001010101011 => 101111100000 => 010000011111
001010100111 => 111100100010 => 000011011101
001010011101 => 111100001010 => 000011110101
001010011011 => 111010100100 => 000101011011
001010010111 => 111001100010 => 000110011101
001010001111 => 110100010110 => 001011101001
001001110101 => 111010000110 => 000101111001
001001110011 => 111000110010 => 000111001101
001001101101 => 111010001100 => 000101110011
001001101011 => 110110101000 => 001001010111
001001100111 => 111000101100 => 000111010011
001001011101 => 111001001010 => 000110110101
001001011011 => 110011101000 => 001100010111
001001010111 => 110011100010 => 001100011101
001001001111 => 111000100110 => 000111011001
001000111101 => 110010001110 => 001101110001
001000111011 => 110010011010 => 001101100101
001000110111 => 110001011100 => 001110100011
001000101111 => 110001010110 => 001110101001
001000011111 => 101000011110 => 010111100001
000111010101 => 101110000110 => 010001111001
000111010011 => 110100101010 => 001011010101
000111001101 => 110100011100 => 001011100011
000111001011 => 110010110010 => 001101001101
000111000111 => 110000111100 => 001111000011
000110110101 => 101110001100 => 010001110011
000110110011 => 110010111000 => 001101000111
000110101101 => 101110011000 => 010001100111
000110101011 => 101110110000 => 010001001111
000110100111 => 101100101100 => 010011010011
000110011101 => 101100011010 => 010011100101
000110011011 => 101100111000 => 010011000111
000110010111 => 110001110100 => 001110001011
000110001111 => 110000111010 => 001111000101
000101110101 => 101101001010 => 010010110101
000101110011 => 101001110010 => 010110001101
000101101101 => 101011011000 => 010100100111
000101101011 => 101011110000 => 010100001111
000101100111 => 101010110100 => 010101001011
000101011101 => 101011010010 => 010100101101
000101011011 => 100111101000 => 011000010111
000101010111 => 100111100010 => 011000011101
000101001111 => 101100100110 => 010011011001
000100111101 => 101100001110 => 010011110001
000100111011 => 101010101010 => 010101010101
000100110111 => 101001101100 => 010110010011
000100101111 => 101001100110 => 010110011001
000100011111 => 110000101110 => 001111010001
000011110101 => 100110001110 => 011001110001
000011110011 => 101000110110 => 010111001001
000011101101 => 100110011010 => 011001100101
000011101011 => 100110110010 => 011001001101
000011100111 => 101000111100 => 010111000011
000011011101 => 100101011100 => 011010100011
000011011011 => 100110111000 => 011001000111
000011010111 => 100101110100 => 011010001011
000011001111 => 100100111010 => 011011000101
000010111101 => 100101010110 => 011010101001
000010111011 => 100011110010 => 011100001101
000010110111 => 100011101100 => 011100010011
000010101111 => 100011100110 => 011100011001
000010011111 => 100100101110 => 011011010001
000001111101 => 100010011110 => 011101100001
000001111011 => 100010110110 => 011101001001
000001110111 => 100010111100 => 011101000011
000001101111 => 100001111010 => 011110000101
000001011111 => 100001101110 => 011110010001
000000111111 => 100000111110 => 011111000001
11010101010 => 11111100000 => 00000011111
11010101000 => 10111000010 => 01000111101
11010101100 => 11110110000 => 00001001111
11010110100 => 11110011000 => 00001100111
11010010100 => 11110000100 => 00001111011
11011010100 => 11110001100 => 00001110011
11001010100 => 11110010000 => 00001101111
11101010100 => 11110000110 => 00001111001
10101010100 => 11111000000 => 00000111111
111111111111 => 111111111111 => 000000000000
111111111001 => 101111111110 => 010000000001
111111100111 => 101111111110 => 010000000001
111111100001 => 100011111110 => 011100000001
111111101101 => 111110111110 => 000001000001
111110011111 => 101111111110 => 010000000001
111110011001 => 110011101110 => 001100010001
111110000111 => 100011111110 => 011100000001
111110000001 => 100000111110 => 011111000001
111110110111 => 111110111110 => 000001000001
111110110001 => 101011011110 => 010100100001
111110111101 => 111111111010 => 000000000101
111110100101 => 110101011110 => 001010100001
111001111111 => 101111111110 => 010000000001
111001100111 => 110011101110 => 001100010001
111001100001 => 101000110110 => 010111001001
111000011111 => 100011111110 => 011100000001
111000011001 => 100100111010 => 011011000101
111000000111 => 100000111110 => 011111000001
111000000001 => 100000001110 => 011111110001
111000001101 => 100001111010 => 011110000101
111000110001 => 110000111010 => 001111000101
111000111101 => 101011111100 => 010100000011
111000100101 => 101001100110 => 010110011001
111011011111 => 111110111110 => 000001000001
111011011001 => 111011100110 => 000100011001
111011000111 => 101011011110 => 010100100001
111011000001 => 100010110110 => 011101001001
111011001101 => 110111101010 => 001000010101
111011110111 => 111111111010 => 000000000101
111011110001 => 101011111100 => 010100000011
111011111101 => 111111111010 => 000000000101
111011100101 => 101111011010 => 010000100101
111010010111 => 110101011110 => 001010100001
111010010001 => 110010001110 => 001101110001
111010000101 => 100101010110 => 011010101001
111010110101 => 111111001010 => 000000110101
100111111111 => 101111111110 => 010000000001
100111111001 => 110011101110 => 001100010001
100111100001 => 100100111010 => 011011000101
100111101101 => 111011100110 => 000100011001
100110011111 => 110011101110 => 001100010001
100110011001 => 111000111000 => 000111000111
100110000111 => 101000110110 => 010111001001
100110000001 => 100010001100 => 011101110011
100110001101 => 110010111000 => 001101000111
100110110001 => 101100111000 => 010011000111
100110111101 => 110111101010 => 001000010101
100110100101 => 111010011000 => 000101100111
100001111111 => 100011111110 => 011100000001
100001111001 => 101000110110 => 010111001001
100001100111 => 100100111010 => 011011000101
100001101101 => 100110111000 => 011001000111
100000011111 => 100000111110 => 011111000001
100000011001 => 100010001100 => 011101110011
100000000111 => 100000001110 => 011111110001
100000000001 => 100000000010 => 011111111101
100000001101 => 100000101100 => 011111010011
100000110111 => 100001111010 => 011110000101
100000110001 => 101000001100 => 010111110011
100000111101 => 100010110110 => 011101001001
100000100101 => 100010011000 => 011101100111
100011011001 => 110010111000 => 001101000111
100011000111 => 110000111010 => 001111000101
100011000001 => 101000001100 => 010111110011
100011001101 => 101100111000 => 010011000111
100011110111 => 101011111100 => 010100000011
100011110001 => 110000111010 => 001111000101
100011111101 => 101011011110 => 010100100001
100011100101 => 110010110010 => 001101001101
100010010111 => 101001100110 => 010110011001
100010011101 => 101010101010 => 010101010101
100010000101 => 110000010100 => 001111101011
100010110101 => 101011110000 => 010100001111
101101111111 => 111110111110 => 000001000001
101101100111 => 111011100110 => 000100011001
101101100001 => 100110111000 => 011001000111
101100011111 => 101011011110 => 010100100001
101100011001 => 101100111000 => 010011000111
101100000111 => 100010110110 => 011101001001
101100000001 => 100000101100 => 011111010011
101100001101 => 100110111000 => 011001000111
101100110111 => 110111101010 => 001000010101
101100110001 => 110010111000 => 001101000111
101100111101 => 111011100110 => 000100011001
101100100101 => 110011101000 => 001100010111
101111011111 => 111111111010 => 000000000101
101111011001 => 110111101010 => 001000010101
101111000111 => 101011111100 => 010100000011
101111000001 => 100001111010 => 011110000101
101111110111 => 111111111010 => 000000000101
101111111101 => 111110111110 => 000001000001
101111100101 => 101110110110 => 010001001001
101110010111 => 101111011010 => 010000100101
101110010001 => 110001011100 => 001110100011
101110011101 => 111011111000 => 000100000111
101110000101 => 100011101100 => 011100010011
101110110101 => 111111010100 => 000000101011
101001011111 => 110101011110 => 001010100001
101001011001 => 111010011000 => 000101100111
101001000111 => 110010001110 => 001101110001
101001000001 => 100100100010 => 011011011101
101001001101 => 111010001100 => 000101110011
101001110001 => 101100101100 => 010011010011
101001111101 => 111001101110 => 000110010001
101001100101 => 111001101000 => 000110010111
101000010111 => 100101010110 => 011010101001
101000010001 => 101001000010 => 010110111101
101000011101 => 100110011010 => 011001100101
101000110101 => 101110011000 => 010001100111
101011010111 => 111111001010 => 000000110101
101011010001 => 101110011000 => 010001100111
101011011101 => 111111010100 => 000000101011
101011000101 => 101011110000 => 010100001111
101011110101 => 111111001010 => 000000110101
101010010101 => 111011001000 => 000100110111
Map
Burrows-Wheeler
Description
The Burrows-Wheeler transform of a binary word.
The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.