Identifier
Values
0 => 1 => 1 => 0
1 => 1 => 1 => 0
00 => 01 => 10 => 0
01 => 10 => 10 => 0
10 => 11 => 11 => 0
11 => 11 => 11 => 0
000 => 001 => 100 => 0
001 => 010 => 100 => 0
010 => 101 => 110 => 0
011 => 101 => 110 => 0
100 => 101 => 110 => 0
101 => 110 => 110 => 0
110 => 111 => 111 => 0
111 => 111 => 111 => 0
0000 => 0001 => 1000 => 0
0001 => 0010 => 1000 => 0
0010 => 0101 => 1100 => 0
0011 => 0101 => 1100 => 0
0100 => 1001 => 1010 => 1
0101 => 1010 => 1100 => 0
0110 => 1011 => 1110 => 0
0111 => 1011 => 1110 => 0
1000 => 1001 => 1010 => 1
1001 => 1010 => 1100 => 0
1010 => 1101 => 1110 => 0
1011 => 1101 => 1110 => 0
1100 => 1101 => 1110 => 0
1101 => 1110 => 1110 => 0
1110 => 1111 => 1111 => 0
1111 => 1111 => 1111 => 0
00000 => 00001 => 10000 => 0
00001 => 00010 => 10000 => 0
00010 => 00101 => 11000 => 0
00011 => 00101 => 11000 => 0
00100 => 01001 => 11000 => 0
00101 => 01010 => 11000 => 0
00110 => 01011 => 11100 => 0
00111 => 01011 => 11100 => 0
01000 => 10001 => 10010 => 3
01001 => 10010 => 11000 => 0
01010 => 10101 => 11100 => 0
01011 => 10101 => 11100 => 0
01100 => 10101 => 11100 => 0
01101 => 10110 => 11100 => 0
01110 => 10111 => 11110 => 0
01111 => 10111 => 11110 => 0
10000 => 10001 => 10010 => 3
10001 => 10010 => 11000 => 0
10010 => 10101 => 11100 => 0
10011 => 10101 => 11100 => 0
10100 => 11001 => 10110 => 3
10101 => 11010 => 11100 => 0
10110 => 11011 => 11110 => 0
10111 => 11011 => 11110 => 0
11000 => 11001 => 10110 => 3
11001 => 11010 => 11100 => 0
11010 => 11101 => 11110 => 0
11011 => 11101 => 11110 => 0
11100 => 11101 => 11110 => 0
11101 => 11110 => 11110 => 0
11110 => 11111 => 11111 => 0
11111 => 11111 => 11111 => 0
000000 => 000001 => 100000 => 0
000001 => 000010 => 100000 => 0
000010 => 000101 => 101000 => 1
000011 => 000101 => 101000 => 1
000100 => 001001 => 110000 => 0
000101 => 001010 => 101000 => 1
000110 => 001011 => 101100 => 3
000111 => 001011 => 101100 => 3
001000 => 010001 => 101000 => 1
001001 => 010010 => 110000 => 0
001010 => 010101 => 111000 => 0
001011 => 010101 => 111000 => 0
001100 => 010101 => 111000 => 0
001101 => 010110 => 101100 => 3
001110 => 010111 => 111010 => 1
001111 => 010111 => 111010 => 1
010000 => 100001 => 100010 => 6
010001 => 100010 => 101000 => 1
010010 => 100101 => 101100 => 3
010011 => 100101 => 101100 => 3
010100 => 101001 => 110010 => 3
010101 => 101010 => 111000 => 0
010110 => 101011 => 111010 => 1
010111 => 101011 => 111010 => 1
011000 => 101001 => 110010 => 3
011001 => 101010 => 111000 => 0
011010 => 101101 => 111100 => 0
011011 => 101101 => 111100 => 0
011100 => 101101 => 111100 => 0
011101 => 101110 => 111010 => 1
011110 => 101111 => 111110 => 0
011111 => 101111 => 111110 => 0
100000 => 100001 => 100010 => 6
100001 => 100010 => 101000 => 1
100010 => 100101 => 101100 => 3
100011 => 100101 => 101100 => 3
100100 => 101001 => 110010 => 3
100101 => 101010 => 111000 => 0
100110 => 101011 => 111010 => 1
>>> Load all 1022 entries. <<<
100111 => 101011 => 111010 => 1
101000 => 110001 => 100110 => 8
101001 => 110010 => 101100 => 3
101010 => 110101 => 111010 => 1
101011 => 110101 => 111010 => 1
101100 => 110101 => 111010 => 1
101101 => 110110 => 111100 => 0
101110 => 110111 => 111110 => 0
101111 => 110111 => 111110 => 0
110000 => 110001 => 100110 => 8
110001 => 110010 => 101100 => 3
110010 => 110101 => 111010 => 1
110011 => 110101 => 111010 => 1
110100 => 111001 => 101110 => 6
110101 => 111010 => 111010 => 1
110110 => 111011 => 111110 => 0
110111 => 111011 => 111110 => 0
111000 => 111001 => 101110 => 6
111001 => 111010 => 111010 => 1
111010 => 111101 => 111110 => 0
111011 => 111101 => 111110 => 0
111100 => 111101 => 111110 => 0
111101 => 111110 => 111110 => 0
111110 => 111111 => 111111 => 0
111111 => 111111 => 111111 => 0
0000000 => 0000001 => 1000000 => 0
0000001 => 0000010 => 1000000 => 0
0000010 => 0000101 => 1001000 => 3
0000011 => 0000101 => 1001000 => 3
0000100 => 0001001 => 1100000 => 0
0000101 => 0001010 => 1001000 => 3
0000110 => 0001011 => 1001100 => 8
0000111 => 0001011 => 1001100 => 8
0001000 => 0010001 => 1100000 => 0
0001001 => 0010010 => 1100000 => 0
0001010 => 0010101 => 1110000 => 0
0001011 => 0010101 => 1110000 => 0
0001100 => 0010101 => 1110000 => 0
0001101 => 0010110 => 1001100 => 8
0001110 => 0010111 => 1011010 => 8
0001111 => 0010111 => 1011010 => 8
0010000 => 0100001 => 1001000 => 3
0010001 => 0100010 => 1100000 => 0
0010010 => 0100101 => 1110000 => 0
0010011 => 0100101 => 1110000 => 0
0010100 => 0101001 => 1110000 => 0
0010101 => 0101010 => 1110000 => 0
0010110 => 0101011 => 1111000 => 0
0010111 => 0101011 => 1111000 => 0
0011000 => 0101001 => 1110000 => 0
0011001 => 0101010 => 1110000 => 0
0011010 => 0101101 => 1111000 => 0
0011011 => 0101101 => 1111000 => 0
0011100 => 0101101 => 1111000 => 0
0011101 => 0101110 => 1011010 => 8
0011110 => 0101111 => 1110110 => 3
0011111 => 0101111 => 1110110 => 3
0100000 => 1000001 => 1000010 => 10
0100001 => 1000010 => 1001000 => 3
0100010 => 1000101 => 1001100 => 8
0100011 => 1000101 => 1001100 => 8
0100100 => 1001001 => 1100100 => 3
0100101 => 1001010 => 1110000 => 0
0100110 => 1001011 => 1011010 => 8
0100111 => 1001011 => 1011010 => 8
0101000 => 1010001 => 1010010 => 8
0101001 => 1010010 => 1110000 => 0
0101010 => 1010101 => 1111000 => 0
0101011 => 1010101 => 1111000 => 0
0101100 => 1010101 => 1111000 => 0
0101101 => 1010110 => 1111000 => 0
0101110 => 1010111 => 1110110 => 3
0101111 => 1010111 => 1110110 => 3
0110000 => 1010001 => 1010010 => 8
0110001 => 1010010 => 1110000 => 0
0110010 => 1010101 => 1111000 => 0
0110011 => 1010101 => 1111000 => 0
0110100 => 1011001 => 1101100 => 3
0110101 => 1011010 => 1111000 => 0
0110110 => 1011011 => 1111100 => 0
0110111 => 1011011 => 1111100 => 0
0111000 => 1011001 => 1101100 => 3
0111001 => 1011010 => 1111000 => 0
0111010 => 1011101 => 1111100 => 0
0111011 => 1011101 => 1111100 => 0
0111100 => 1011101 => 1111100 => 0
0111101 => 1011110 => 1110110 => 3
0111110 => 1011111 => 1111110 => 0
0111111 => 1011111 => 1111110 => 0
1000000 => 1000001 => 1000010 => 10
1000001 => 1000010 => 1001000 => 3
1000010 => 1000101 => 1001100 => 8
1000011 => 1000101 => 1001100 => 8
1000100 => 1001001 => 1100100 => 3
1000101 => 1001010 => 1110000 => 0
1000110 => 1001011 => 1011010 => 8
1000111 => 1001011 => 1011010 => 8
1001000 => 1010001 => 1010010 => 8
1001001 => 1010010 => 1110000 => 0
1001010 => 1010101 => 1111000 => 0
1001011 => 1010101 => 1111000 => 0
1001100 => 1010101 => 1111000 => 0
1001101 => 1010110 => 1111000 => 0
1001110 => 1010111 => 1110110 => 3
1001111 => 1010111 => 1110110 => 3
1010000 => 1100001 => 1000110 => 15
1010001 => 1100010 => 1001100 => 8
1010010 => 1100101 => 1011010 => 8
1010011 => 1100101 => 1011010 => 8
1010100 => 1101001 => 1100110 => 8
1010101 => 1101010 => 1111000 => 0
1010110 => 1101011 => 1110110 => 3
1010111 => 1101011 => 1110110 => 3
1011000 => 1101001 => 1100110 => 8
1011001 => 1101010 => 1111000 => 0
1011010 => 1101101 => 1111100 => 0
1011011 => 1101101 => 1111100 => 0
1011100 => 1101101 => 1111100 => 0
1011101 => 1101110 => 1111100 => 0
1011110 => 1101111 => 1111110 => 0
1011111 => 1101111 => 1111110 => 0
1100000 => 1100001 => 1000110 => 15
1100001 => 1100010 => 1001100 => 8
1100010 => 1100101 => 1011010 => 8
1100011 => 1100101 => 1011010 => 8
1100100 => 1101001 => 1100110 => 8
1100101 => 1101010 => 1111000 => 0
1100110 => 1101011 => 1110110 => 3
1100111 => 1101011 => 1110110 => 3
1101000 => 1110001 => 1001110 => 15
1101001 => 1110010 => 1011010 => 8
1101010 => 1110101 => 1110110 => 3
1101011 => 1110101 => 1110110 => 3
1101100 => 1110101 => 1110110 => 3
1101101 => 1110110 => 1111100 => 0
1101110 => 1110111 => 1111110 => 0
1101111 => 1110111 => 1111110 => 0
1110000 => 1110001 => 1001110 => 15
1110001 => 1110010 => 1011010 => 8
1110010 => 1110101 => 1110110 => 3
1110011 => 1110101 => 1110110 => 3
1110100 => 1111001 => 1011110 => 10
1110101 => 1111010 => 1110110 => 3
1110110 => 1111011 => 1111110 => 0
1110111 => 1111011 => 1111110 => 0
1111000 => 1111001 => 1011110 => 10
1111001 => 1111010 => 1110110 => 3
1111010 => 1111101 => 1111110 => 0
1111011 => 1111101 => 1111110 => 0
1111100 => 1111101 => 1111110 => 0
1111101 => 1111110 => 1111110 => 0
1111110 => 1111111 => 1111111 => 0
1111111 => 1111111 => 1111111 => 0
00000000 => 00000001 => 10000000 => 0
00000001 => 00000010 => 10000000 => 0
00000010 => 00000101 => 10001000 => 6
00000011 => 00000101 => 10001000 => 6
00000100 => 00001001 => 10100000 => 1
00000101 => 00001010 => 10001000 => 6
00000110 => 00001011 => 10001100 => 15
00000111 => 00001011 => 10001100 => 15
00001000 => 00010001 => 11000000 => 0
00001001 => 00010010 => 10100000 => 1
00001010 => 00010101 => 10110000 => 3
00001011 => 00010101 => 10110000 => 3
00001100 => 00010101 => 10110000 => 3
00001101 => 00010110 => 10001100 => 15
00001110 => 00010111 => 10011010 => 18
00001111 => 00010111 => 10011010 => 18
00010000 => 00100001 => 10100000 => 1
00010001 => 00100010 => 11000000 => 0
00010010 => 00100101 => 11100000 => 0
00010011 => 00100101 => 11100000 => 0
00010100 => 00101001 => 11100000 => 0
00010101 => 00101010 => 10110000 => 3
00010110 => 00101011 => 10111000 => 6
00010111 => 00101011 => 10111000 => 6
00011000 => 00101001 => 11100000 => 0
00011001 => 00101010 => 10110000 => 3
00011010 => 00101101 => 11010100 => 5
00011011 => 00101101 => 11010100 => 5
00011100 => 00101101 => 11010100 => 5
00011101 => 00101110 => 10011010 => 18
00011110 => 00101111 => 10110110 => 15
00011111 => 00101111 => 10110110 => 15
00100000 => 01000001 => 10001000 => 6
00100001 => 01000010 => 10100000 => 1
00100010 => 01000101 => 10110000 => 3
00100011 => 01000101 => 10110000 => 3
00100100 => 01001001 => 11100000 => 0
00100101 => 01001010 => 11100000 => 0
00100110 => 01001011 => 11010100 => 5
00100111 => 01001011 => 11010100 => 5
00101000 => 01010001 => 10110000 => 3
00101001 => 01010010 => 11100000 => 0
00101010 => 01010101 => 11110000 => 0
00101011 => 01010101 => 11110000 => 0
00101100 => 01010101 => 11110000 => 0
00101101 => 01010110 => 10111000 => 6
00101110 => 01010111 => 11110010 => 3
00101111 => 01010111 => 11110010 => 3
00110000 => 01010001 => 10110000 => 3
00110001 => 01010010 => 11100000 => 0
00110010 => 01010101 => 11110000 => 0
00110011 => 01010101 => 11110000 => 0
00110100 => 01011001 => 10111000 => 6
00110101 => 01011010 => 11010100 => 5
00110110 => 01011011 => 11111000 => 0
00110111 => 01011011 => 11111000 => 0
00111000 => 01011001 => 10111000 => 6
00111001 => 01011010 => 11010100 => 5
00111010 => 01011101 => 11110010 => 3
00111011 => 01011101 => 11110010 => 3
00111100 => 01011101 => 11110010 => 3
00111101 => 01011110 => 10110110 => 15
00111110 => 01011111 => 11101110 => 6
00111111 => 01011111 => 11101110 => 6
01000000 => 10000001 => 10000010 => 15
01000001 => 10000010 => 10001000 => 6
01000010 => 10000101 => 10001100 => 15
01000011 => 10000101 => 10001100 => 15
01000100 => 10001001 => 10100100 => 8
01000101 => 10001010 => 10110000 => 3
01000110 => 10001011 => 10011010 => 18
01000111 => 10001011 => 10011010 => 18
01001000 => 10010001 => 11000010 => 10
01001001 => 10010010 => 11100000 => 0
01001010 => 10010101 => 10111000 => 6
01001011 => 10010101 => 10111000 => 6
01001100 => 10010101 => 10111000 => 6
01001101 => 10010110 => 11010100 => 5
01001110 => 10010111 => 10110110 => 15
01001111 => 10010111 => 10110110 => 15
01010000 => 10100001 => 10010010 => 15
01010001 => 10100010 => 10110000 => 3
01010010 => 10100101 => 11010100 => 5
01010011 => 10100101 => 11010100 => 5
01010100 => 10101001 => 11100010 => 6
01010101 => 10101010 => 11110000 => 0
01010110 => 10101011 => 11110010 => 3
01010111 => 10101011 => 11110010 => 3
01011000 => 10101001 => 11100010 => 6
01011001 => 10101010 => 11110000 => 0
01011010 => 10101101 => 11111000 => 0
01011011 => 10101101 => 11111000 => 0
01011100 => 10101101 => 11111000 => 0
01011101 => 10101110 => 11110010 => 3
01011110 => 10101111 => 11101110 => 6
01011111 => 10101111 => 11101110 => 6
01100000 => 10100001 => 10010010 => 15
01100001 => 10100010 => 10110000 => 3
01100010 => 10100101 => 11010100 => 5
01100011 => 10100101 => 11010100 => 5
01100100 => 10101001 => 11100010 => 6
01100101 => 10101010 => 11110000 => 0
01100110 => 10101011 => 11110010 => 3
01100111 => 10101011 => 11110010 => 3
01101000 => 10110001 => 10101100 => 11
01101001 => 10110010 => 10111000 => 6
01101010 => 10110101 => 11111000 => 0
01101011 => 10110101 => 11111000 => 0
01101100 => 10110101 => 11111000 => 0
01101101 => 10110110 => 11111000 => 0
01101110 => 10110111 => 11111010 => 1
01101111 => 10110111 => 11111010 => 1
01110000 => 10110001 => 10101100 => 11
01110001 => 10110010 => 10111000 => 6
01110010 => 10110101 => 11111000 => 0
01110011 => 10110101 => 11111000 => 0
01110100 => 10111001 => 10111100 => 10
01110101 => 10111010 => 11110010 => 3
01110110 => 10111011 => 11111100 => 0
01110111 => 10111011 => 11111100 => 0
01111000 => 10111001 => 10111100 => 10
01111001 => 10111010 => 11110010 => 3
01111010 => 10111101 => 11111010 => 1
01111011 => 10111101 => 11111010 => 1
01111100 => 10111101 => 11111010 => 1
01111101 => 10111110 => 11101110 => 6
01111110 => 10111111 => 11111110 => 0
01111111 => 10111111 => 11111110 => 0
10000000 => 10000001 => 10000010 => 15
10000001 => 10000010 => 10001000 => 6
10000010 => 10000101 => 10001100 => 15
10000011 => 10000101 => 10001100 => 15
10000100 => 10001001 => 10100100 => 8
10000101 => 10001010 => 10110000 => 3
10000110 => 10001011 => 10011010 => 18
10000111 => 10001011 => 10011010 => 18
10001000 => 10010001 => 11000010 => 10
10001001 => 10010010 => 11100000 => 0
10001010 => 10010101 => 10111000 => 6
10001011 => 10010101 => 10111000 => 6
10001100 => 10010101 => 10111000 => 6
10001101 => 10010110 => 11010100 => 5
10001110 => 10010111 => 10110110 => 15
10001111 => 10010111 => 10110110 => 15
10010000 => 10100001 => 10010010 => 15
10010001 => 10100010 => 10110000 => 3
10010010 => 10100101 => 11010100 => 5
10010011 => 10100101 => 11010100 => 5
10010100 => 10101001 => 11100010 => 6
10010101 => 10101010 => 11110000 => 0
10010110 => 10101011 => 11110010 => 3
10010111 => 10101011 => 11110010 => 3
10011000 => 10101001 => 11100010 => 6
10011001 => 10101010 => 11110000 => 0
10011010 => 10101101 => 11111000 => 0
10011011 => 10101101 => 11111000 => 0
10011100 => 10101101 => 11111000 => 0
10011101 => 10101110 => 11110010 => 3
10011110 => 10101111 => 11101110 => 6
10011111 => 10101111 => 11101110 => 6
10100000 => 11000001 => 10000110 => 24
10100001 => 11000010 => 10001100 => 15
10100010 => 11000101 => 10011010 => 18
10100011 => 11000101 => 10011010 => 18
10100100 => 11001001 => 11001010 => 11
10100101 => 11001010 => 10111000 => 6
10100110 => 11001011 => 10110110 => 15
10100111 => 11001011 => 10110110 => 15
10101000 => 11010001 => 10100110 => 18
10101001 => 11010010 => 11010100 => 5
10101010 => 11010101 => 11110010 => 3
10101011 => 11010101 => 11110010 => 3
10101100 => 11010101 => 11110010 => 3
10101101 => 11010110 => 11111000 => 0
10101110 => 11010111 => 11101110 => 6
10101111 => 11010111 => 11101110 => 6
10110000 => 11010001 => 10100110 => 18
10110001 => 11010010 => 11010100 => 5
10110010 => 11010101 => 11110010 => 3
10110011 => 11010101 => 11110010 => 3
10110100 => 11011001 => 11011010 => 8
10110101 => 11011010 => 11111000 => 0
10110110 => 11011011 => 11111010 => 1
10110111 => 11011011 => 11111010 => 1
10111000 => 11011001 => 11011010 => 8
10111001 => 11011010 => 11111000 => 0
10111010 => 11011101 => 11111100 => 0
10111011 => 11011101 => 11111100 => 0
10111100 => 11011101 => 11111100 => 0
10111101 => 11011110 => 11111010 => 1
10111110 => 11011111 => 11111110 => 0
10111111 => 11011111 => 11111110 => 0
11000000 => 11000001 => 10000110 => 24
11000001 => 11000010 => 10001100 => 15
11000010 => 11000101 => 10011010 => 18
11000011 => 11000101 => 10011010 => 18
11000100 => 11001001 => 11001010 => 11
11000101 => 11001010 => 10111000 => 6
11000110 => 11001011 => 10110110 => 15
11000111 => 11001011 => 10110110 => 15
11001000 => 11010001 => 10100110 => 18
11001001 => 11010010 => 11010100 => 5
11001010 => 11010101 => 11110010 => 3
11001011 => 11010101 => 11110010 => 3
11001100 => 11010101 => 11110010 => 3
11001101 => 11010110 => 11111000 => 0
11001110 => 11010111 => 11101110 => 6
11001111 => 11010111 => 11101110 => 6
11010000 => 11100001 => 10001110 => 27
11010001 => 11100010 => 10011010 => 18
11010010 => 11100101 => 10110110 => 15
11010011 => 11100101 => 10110110 => 15
11010100 => 11101001 => 11001110 => 15
11010101 => 11101010 => 11110010 => 3
11010110 => 11101011 => 11101110 => 6
11010111 => 11101011 => 11101110 => 6
11011000 => 11101001 => 11001110 => 15
11011001 => 11101010 => 11110010 => 3
11011010 => 11101101 => 11111010 => 1
11011011 => 11101101 => 11111010 => 1
11011100 => 11101101 => 11111010 => 1
11011101 => 11101110 => 11111100 => 0
11011110 => 11101111 => 11111110 => 0
11011111 => 11101111 => 11111110 => 0
11100000 => 11100001 => 10001110 => 27
11100001 => 11100010 => 10011010 => 18
11100010 => 11100101 => 10110110 => 15
11100011 => 11100101 => 10110110 => 15
11100100 => 11101001 => 11001110 => 15
11100101 => 11101010 => 11110010 => 3
11100110 => 11101011 => 11101110 => 6
11100111 => 11101011 => 11101110 => 6
11101000 => 11110001 => 10011110 => 24
11101001 => 11110010 => 10110110 => 15
11101010 => 11110101 => 11101110 => 6
11101011 => 11110101 => 11101110 => 6
11101100 => 11110101 => 11101110 => 6
11101101 => 11110110 => 11111010 => 1
11101110 => 11110111 => 11111110 => 0
11101111 => 11110111 => 11111110 => 0
11110000 => 11110001 => 10011110 => 24
11110001 => 11110010 => 10110110 => 15
11110010 => 11110101 => 11101110 => 6
11110011 => 11110101 => 11101110 => 6
11110100 => 11111001 => 10111110 => 15
11110101 => 11111010 => 11101110 => 6
11110110 => 11111011 => 11111110 => 0
11110111 => 11111011 => 11111110 => 0
11111000 => 11111001 => 10111110 => 15
11111001 => 11111010 => 11101110 => 6
11111010 => 11111101 => 11111110 => 0
11111011 => 11111101 => 11111110 => 0
11111100 => 11111101 => 11111110 => 0
11111101 => 11111110 => 11111110 => 0
11111110 => 11111111 => 11111111 => 0
11111111 => 11111111 => 11111111 => 0
000000000 => 000000001 => 100000000 => 0
000000001 => 000000010 => 100000000 => 0
000000010 => 000000101 => 100001000 => 10
000000011 => 000000101 => 100001000 => 10
000000100 => 000001001 => 100100000 => 3
000000101 => 000001010 => 100001000 => 10
000000110 => 000001011 => 100001100 => 24
000000111 => 000001011 => 100001100 => 24
000001000 => 000010001 => 110000000 => 0
000001001 => 000010010 => 100100000 => 3
000001010 => 000010101 => 100110000 => 8
000001011 => 000010101 => 100110000 => 8
000001100 => 000010101 => 100110000 => 8
000001101 => 000010110 => 100001100 => 24
000001110 => 000010111 => 100011010 => 31
000001111 => 000010111 => 100011010 => 31
000010000 => 000100001 => 110000000 => 0
000010001 => 000100010 => 110000000 => 0
000010010 => 000100101 => 101100000 => 3
000010011 => 000100101 => 101100000 => 3
000010100 => 000101001 => 110010000 => 3
000010101 => 000101010 => 100110000 => 8
000010110 => 000101011 => 100111000 => 15
000010111 => 000101011 => 100111000 => 15
000011000 => 000101001 => 110010000 => 3
000011001 => 000101010 => 100110000 => 8
000011010 => 000101101 => 101010100 => 14
000011011 => 000101101 => 101010100 => 14
000011100 => 000101101 => 101010100 => 14
000011101 => 000101110 => 100011010 => 31
000011110 => 000101111 => 100110110 => 31
000011111 => 000101111 => 100110110 => 31
000100000 => 001000001 => 100100000 => 3
000100001 => 001000010 => 110000000 => 0
000100010 => 001000101 => 110010000 => 3
000100011 => 001000101 => 110010000 => 3
000100100 => 001001001 => 111000000 => 0
000100101 => 001001010 => 101100000 => 3
000100110 => 001001011 => 110011000 => 8
000100111 => 001001011 => 110011000 => 8
000101000 => 001010001 => 101100000 => 3
000101001 => 001010010 => 110010000 => 3
000101010 => 001010101 => 111100000 => 0
000101011 => 001010101 => 111100000 => 0
000101100 => 001010101 => 111100000 => 0
000101101 => 001010110 => 100111000 => 15
000101110 => 001010111 => 101110010 => 15
000101111 => 001010111 => 101110010 => 15
000110000 => 001010001 => 101100000 => 3
000110001 => 001010010 => 110010000 => 3
000110010 => 001010101 => 111100000 => 0
000110011 => 001010101 => 111100000 => 0
000110100 => 001011001 => 110011000 => 8
000110101 => 001011010 => 101010100 => 14
000110110 => 001011011 => 101111000 => 10
000110111 => 001011011 => 101111000 => 10
000111000 => 001011001 => 110011000 => 8
000111001 => 001011010 => 101010100 => 14
000111010 => 001011101 => 110101010 => 14
000111011 => 001011101 => 110101010 => 14
000111100 => 001011101 => 110101010 => 14
000111101 => 001011110 => 100110110 => 31
000111110 => 001011111 => 101101110 => 24
000111111 => 001011111 => 101101110 => 24
001000000 => 010000001 => 100001000 => 10
001000001 => 010000010 => 100100000 => 3
001000010 => 010000101 => 100110000 => 8
001000011 => 010000101 => 100110000 => 8
001000100 => 010001001 => 101100000 => 3
001000101 => 010001010 => 110010000 => 3
001000110 => 010001011 => 101010100 => 14
001000111 => 010001011 => 101010100 => 14
001001000 => 010010001 => 110010000 => 3
001001001 => 010010010 => 111000000 => 0
001001010 => 010010101 => 111100000 => 0
001001011 => 010010101 => 111100000 => 0
001001100 => 010010101 => 111100000 => 0
001001101 => 010010110 => 110011000 => 8
001001110 => 010010111 => 110101010 => 14
001001111 => 010010111 => 110101010 => 14
001010000 => 010100001 => 100110000 => 8
001010001 => 010100010 => 101100000 => 3
001010010 => 010100101 => 111100000 => 0
001010011 => 010100101 => 111100000 => 0
001010100 => 010101001 => 111100000 => 0
001010101 => 010101010 => 111100000 => 0
001010110 => 010101011 => 111110000 => 0
001010111 => 010101011 => 111110000 => 0
001011000 => 010101001 => 111100000 => 0
001011001 => 010101010 => 111100000 => 0
001011010 => 010101101 => 111110000 => 0
001011011 => 010101101 => 111110000 => 0
001011100 => 010101101 => 111110000 => 0
001011101 => 010101110 => 101110010 => 15
001011110 => 010101111 => 111100110 => 8
001011111 => 010101111 => 111100110 => 8
001100000 => 010100001 => 100110000 => 8
001100001 => 010100010 => 101100000 => 3
001100010 => 010100101 => 111100000 => 0
001100011 => 010100101 => 111100000 => 0
001100100 => 010101001 => 111100000 => 0
001100101 => 010101010 => 111100000 => 0
001100110 => 010101011 => 111110000 => 0
001100111 => 010101011 => 111110000 => 0
001101000 => 010110001 => 100111000 => 15
001101001 => 010110010 => 110011000 => 8
001101010 => 010110101 => 111110000 => 0
001101011 => 010110101 => 111110000 => 0
001101100 => 010110101 => 111110000 => 0
001101101 => 010110110 => 101111000 => 10
001101110 => 010110111 => 111101100 => 3
001101111 => 010110111 => 111101100 => 3
001110000 => 010110001 => 100111000 => 15
001110001 => 010110010 => 110011000 => 8
001110010 => 010110101 => 111110000 => 0
001110011 => 010110101 => 111110000 => 0
001110100 => 010111001 => 101110010 => 15
001110101 => 010111010 => 110101010 => 14
001110110 => 010111011 => 111110010 => 3
001110111 => 010111011 => 111110010 => 3
001111000 => 010111001 => 101110010 => 15
001111001 => 010111010 => 110101010 => 14
001111010 => 010111101 => 111100110 => 8
001111011 => 010111101 => 111100110 => 8
001111100 => 010111101 => 111100110 => 8
001111101 => 010111110 => 101101110 => 24
001111110 => 010111111 => 111011110 => 10
001111111 => 010111111 => 111011110 => 10
010000000 => 100000001 => 100000010 => 21
010000001 => 100000010 => 100001000 => 10
010000010 => 100000101 => 100001100 => 24
010000011 => 100000101 => 100001100 => 24
010000100 => 100001001 => 100100100 => 15
010000101 => 100001010 => 100110000 => 8
010000110 => 100001011 => 100011010 => 31
010000111 => 100001011 => 100011010 => 31
010001000 => 100010001 => 110000100 => 10
010001001 => 100010010 => 101100000 => 3
010001010 => 100010101 => 100111000 => 15
010001011 => 100010101 => 100111000 => 15
010001100 => 100010101 => 100111000 => 15
010001101 => 100010110 => 101010100 => 14
010001110 => 100010111 => 100110110 => 31
010001111 => 100010111 => 100110110 => 31
010010000 => 100100001 => 101000010 => 17
010010001 => 100100010 => 110010000 => 3
010010010 => 100100101 => 110011000 => 8
010010011 => 100100101 => 110011000 => 8
010010100 => 100101001 => 111001000 => 3
010010101 => 100101010 => 111100000 => 0
010010110 => 100101011 => 101110010 => 15
010010111 => 100101011 => 101110010 => 15
010011000 => 100101001 => 111001000 => 3
010011001 => 100101010 => 111100000 => 0
010011010 => 100101101 => 101111000 => 10
010011011 => 100101101 => 101111000 => 10
010011100 => 100101101 => 101111000 => 10
010011101 => 100101110 => 110101010 => 14
010011110 => 100101111 => 101101110 => 24
010011111 => 100101111 => 101101110 => 24
010100000 => 101000001 => 100010010 => 24
010100001 => 101000010 => 100110000 => 8
010100010 => 101000101 => 101010100 => 14
010100011 => 101000101 => 101010100 => 14
010100100 => 101001001 => 111000010 => 10
010100101 => 101001010 => 111100000 => 0
010100110 => 101001011 => 110101010 => 14
010100111 => 101001011 => 110101010 => 14
010101000 => 101010001 => 101100010 => 15
010101001 => 101010010 => 111100000 => 0
010101010 => 101010101 => 111110000 => 0
010101011 => 101010101 => 111110000 => 0
010101100 => 101010101 => 111110000 => 0
010101101 => 101010110 => 111110000 => 0
010101110 => 101010111 => 111100110 => 8
010101111 => 101010111 => 111100110 => 8
010110000 => 101010001 => 101100010 => 15
010110001 => 101010010 => 111100000 => 0
010110010 => 101010101 => 111110000 => 0
010110011 => 101010101 => 111110000 => 0
010110100 => 101011001 => 111011000 => 3
010110101 => 101011010 => 111110000 => 0
010110110 => 101011011 => 111101100 => 3
010110111 => 101011011 => 111101100 => 3
010111000 => 101011001 => 111011000 => 3
010111001 => 101011010 => 111110000 => 0
010111010 => 101011101 => 111110010 => 3
010111011 => 101011101 => 111110010 => 3
010111100 => 101011101 => 111110010 => 3
010111101 => 101011110 => 111100110 => 8
010111110 => 101011111 => 111011110 => 10
010111111 => 101011111 => 111011110 => 10
011000000 => 101000001 => 100010010 => 24
011000001 => 101000010 => 100110000 => 8
011000010 => 101000101 => 101010100 => 14
011000011 => 101000101 => 101010100 => 14
011000100 => 101001001 => 111000010 => 10
011000101 => 101001010 => 111100000 => 0
011000110 => 101001011 => 110101010 => 14
011000111 => 101001011 => 110101010 => 14
011001000 => 101010001 => 101100010 => 15
011001001 => 101010010 => 111100000 => 0
011001010 => 101010101 => 111110000 => 0
011001011 => 101010101 => 111110000 => 0
011001100 => 101010101 => 111110000 => 0
011001101 => 101010110 => 111110000 => 0
011001110 => 101010111 => 111100110 => 8
011001111 => 101010111 => 111100110 => 8
011010000 => 101100001 => 100101100 => 22
011010001 => 101100010 => 100111000 => 15
011010010 => 101100101 => 101111000 => 10
011010011 => 101100101 => 101111000 => 10
011010100 => 101101001 => 111001100 => 8
011010101 => 101101010 => 111110000 => 0
011010110 => 101101011 => 111110010 => 3
011010111 => 101101011 => 111110010 => 3
011011000 => 101101001 => 111001100 => 8
011011001 => 101101010 => 111110000 => 0
011011010 => 101101101 => 111111000 => 0
011011011 => 101101101 => 111111000 => 0
011011100 => 101101101 => 111111000 => 0
011011101 => 101101110 => 111101100 => 3
011011110 => 101101111 => 111110110 => 3
011011111 => 101101111 => 111110110 => 3
011100000 => 101100001 => 100101100 => 22
011100001 => 101100010 => 100111000 => 15
011100010 => 101100101 => 101111000 => 10
011100011 => 101100101 => 101111000 => 10
011100100 => 101101001 => 111001100 => 8
011100101 => 101101010 => 111110000 => 0
011100110 => 101101011 => 111110010 => 3
011100111 => 101101011 => 111110010 => 3
011101000 => 101110001 => 100111100 => 24
011101001 => 101110010 => 101110010 => 15
011101010 => 101110101 => 111101100 => 3
011101011 => 101110101 => 111101100 => 3
011101100 => 101110101 => 111101100 => 3
011101101 => 101110110 => 111110010 => 3
011101110 => 101110111 => 111111100 => 0
011101111 => 101110111 => 111111100 => 0
011110000 => 101110001 => 100111100 => 24
011110001 => 101110010 => 101110010 => 15
011110010 => 101110101 => 111101100 => 3
011110011 => 101110101 => 111101100 => 3
011110100 => 101111001 => 101111010 => 17
011110101 => 101111010 => 111100110 => 8
011110110 => 101111011 => 111111100 => 0
011110111 => 101111011 => 111111100 => 0
011111000 => 101111001 => 101111010 => 17
011111001 => 101111010 => 111100110 => 8
011111010 => 101111101 => 111110110 => 3
011111011 => 101111101 => 111110110 => 3
011111100 => 101111101 => 111110110 => 3
011111101 => 101111110 => 111011110 => 10
011111110 => 101111111 => 111111110 => 0
011111111 => 101111111 => 111111110 => 0
100000000 => 100000001 => 100000010 => 21
100000001 => 100000010 => 100001000 => 10
100000010 => 100000101 => 100001100 => 24
100000011 => 100000101 => 100001100 => 24
100000100 => 100001001 => 100100100 => 15
100000101 => 100001010 => 100110000 => 8
100000110 => 100001011 => 100011010 => 31
100000111 => 100001011 => 100011010 => 31
100001000 => 100010001 => 110000100 => 10
100001001 => 100010010 => 101100000 => 3
100001010 => 100010101 => 100111000 => 15
100001011 => 100010101 => 100111000 => 15
100001100 => 100010101 => 100111000 => 15
100001101 => 100010110 => 101010100 => 14
100001110 => 100010111 => 100110110 => 31
100001111 => 100010111 => 100110110 => 31
100010000 => 100100001 => 101000010 => 17
100010001 => 100100010 => 110010000 => 3
100010010 => 100100101 => 110011000 => 8
100010011 => 100100101 => 110011000 => 8
100010100 => 100101001 => 111001000 => 3
100010101 => 100101010 => 111100000 => 0
100010110 => 100101011 => 101110010 => 15
100010111 => 100101011 => 101110010 => 15
100011000 => 100101001 => 111001000 => 3
100011001 => 100101010 => 111100000 => 0
100011010 => 100101101 => 101111000 => 10
100011011 => 100101101 => 101111000 => 10
100011100 => 100101101 => 101111000 => 10
100011101 => 100101110 => 110101010 => 14
100011110 => 100101111 => 101101110 => 24
100011111 => 100101111 => 101101110 => 24
100100000 => 101000001 => 100010010 => 24
100100001 => 101000010 => 100110000 => 8
100100010 => 101000101 => 101010100 => 14
100100011 => 101000101 => 101010100 => 14
100100100 => 101001001 => 111000010 => 10
100100101 => 101001010 => 111100000 => 0
100100110 => 101001011 => 110101010 => 14
100100111 => 101001011 => 110101010 => 14
100101000 => 101010001 => 101100010 => 15
100101001 => 101010010 => 111100000 => 0
100101010 => 101010101 => 111110000 => 0
100101011 => 101010101 => 111110000 => 0
100101100 => 101010101 => 111110000 => 0
100101101 => 101010110 => 111110000 => 0
100101110 => 101010111 => 111100110 => 8
100101111 => 101010111 => 111100110 => 8
100110000 => 101010001 => 101100010 => 15
100110001 => 101010010 => 111100000 => 0
100110010 => 101010101 => 111110000 => 0
100110011 => 101010101 => 111110000 => 0
100110100 => 101011001 => 111011000 => 3
100110101 => 101011010 => 111110000 => 0
100110110 => 101011011 => 111101100 => 3
100110111 => 101011011 => 111101100 => 3
100111000 => 101011001 => 111011000 => 3
100111001 => 101011010 => 111110000 => 0
100111010 => 101011101 => 111110010 => 3
100111011 => 101011101 => 111110010 => 3
100111100 => 101011101 => 111110010 => 3
100111101 => 101011110 => 111100110 => 8
100111110 => 101011111 => 111011110 => 10
100111111 => 101011111 => 111011110 => 10
101000000 => 110000001 => 100000110 => 35
101000001 => 110000010 => 100001100 => 24
101000010 => 110000101 => 100011010 => 31
101000011 => 110000101 => 100011010 => 31
101000100 => 110001001 => 101001010 => 22
101000101 => 110001010 => 100111000 => 15
101000110 => 110001011 => 100110110 => 31
101000111 => 110001011 => 100110110 => 31
101001000 => 110010001 => 110000110 => 24
101001001 => 110010010 => 110011000 => 8
101001010 => 110010101 => 101110010 => 15
101001011 => 110010101 => 101110010 => 15
101001100 => 110010101 => 101110010 => 15
101001101 => 110010110 => 101111000 => 10
101001110 => 110010111 => 101101110 => 24
101001111 => 110010111 => 101101110 => 24
101010000 => 110100001 => 100100110 => 31
101010001 => 110100010 => 101010100 => 14
101010010 => 110100101 => 110101010 => 14
101010011 => 110100101 => 110101010 => 14
101010100 => 110101001 => 111000110 => 15
101010101 => 110101010 => 111110000 => 0
101010110 => 110101011 => 111100110 => 8
101010111 => 110101011 => 111100110 => 8
101011000 => 110101001 => 111000110 => 15
101011001 => 110101010 => 111110000 => 0
101011010 => 110101101 => 111101100 => 3
101011011 => 110101101 => 111101100 => 3
101011100 => 110101101 => 111101100 => 3
101011101 => 110101110 => 111110010 => 3
101011110 => 110101111 => 111011110 => 10
101011111 => 110101111 => 111011110 => 10
101100000 => 110100001 => 100100110 => 31
101100001 => 110100010 => 101010100 => 14
101100010 => 110100101 => 110101010 => 14
101100011 => 110100101 => 110101010 => 14
101100100 => 110101001 => 111000110 => 15
101100101 => 110101010 => 111110000 => 0
101100110 => 110101011 => 111100110 => 8
101100111 => 110101011 => 111100110 => 8
101101000 => 110110001 => 101011010 => 22
101101001 => 110110010 => 101111000 => 10
101101010 => 110110101 => 111110010 => 3
101101011 => 110110101 => 111110010 => 3
101101100 => 110110101 => 111110010 => 3
101101101 => 110110110 => 111111000 => 0
101101110 => 110110111 => 111110110 => 3
101101111 => 110110111 => 111110110 => 3
101110000 => 110110001 => 101011010 => 22
101110001 => 110110010 => 101111000 => 10
101110010 => 110110101 => 111110010 => 3
101110011 => 110110101 => 111110010 => 3
101110100 => 110111001 => 110111100 => 10
101110101 => 110111010 => 111101100 => 3
101110110 => 110111011 => 111111100 => 0
101110111 => 110111011 => 111111100 => 0
101111000 => 110111001 => 110111100 => 10
101111001 => 110111010 => 111101100 => 3
101111010 => 110111101 => 111111100 => 0
101111011 => 110111101 => 111111100 => 0
101111100 => 110111101 => 111111100 => 0
101111101 => 110111110 => 111110110 => 3
101111110 => 110111111 => 111111110 => 0
101111111 => 110111111 => 111111110 => 0
110000000 => 110000001 => 100000110 => 35
110000001 => 110000010 => 100001100 => 24
110000010 => 110000101 => 100011010 => 31
110000011 => 110000101 => 100011010 => 31
110000100 => 110001001 => 101001010 => 22
110000101 => 110001010 => 100111000 => 15
110000110 => 110001011 => 100110110 => 31
110000111 => 110001011 => 100110110 => 31
110001000 => 110010001 => 110000110 => 24
110001001 => 110010010 => 110011000 => 8
110001010 => 110010101 => 101110010 => 15
110001011 => 110010101 => 101110010 => 15
110001100 => 110010101 => 101110010 => 15
110001101 => 110010110 => 101111000 => 10
110001110 => 110010111 => 101101110 => 24
110001111 => 110010111 => 101101110 => 24
110010000 => 110100001 => 100100110 => 31
110010001 => 110100010 => 101010100 => 14
110010010 => 110100101 => 110101010 => 14
110010011 => 110100101 => 110101010 => 14
110010100 => 110101001 => 111000110 => 15
110010101 => 110101010 => 111110000 => 0
110010110 => 110101011 => 111100110 => 8
110010111 => 110101011 => 111100110 => 8
110011000 => 110101001 => 111000110 => 15
110011001 => 110101010 => 111110000 => 0
110011010 => 110101101 => 111101100 => 3
110011011 => 110101101 => 111101100 => 3
110011100 => 110101101 => 111101100 => 3
110011101 => 110101110 => 111110010 => 3
110011110 => 110101111 => 111011110 => 10
110011111 => 110101111 => 111011110 => 10
110100000 => 111000001 => 100001110 => 42
110100001 => 111000010 => 100011010 => 31
110100010 => 111000101 => 100110110 => 31
110100011 => 111000101 => 100110110 => 31
110100100 => 111001001 => 110010110 => 22
110100101 => 111001010 => 101110010 => 15
110100110 => 111001011 => 101101110 => 24
110100111 => 111001011 => 101101110 => 24
110101000 => 111010001 => 101001110 => 31
110101001 => 111010010 => 110101010 => 14
110101010 => 111010101 => 111100110 => 8
110101011 => 111010101 => 111100110 => 8
110101100 => 111010101 => 111100110 => 8
110101101 => 111010110 => 111101100 => 3
110101110 => 111010111 => 111011110 => 10
110101111 => 111010111 => 111011110 => 10
110110000 => 111010001 => 101001110 => 31
110110001 => 111010010 => 110101010 => 14
110110010 => 111010101 => 111100110 => 8
110110011 => 111010101 => 111100110 => 8
110110100 => 111011001 => 110110110 => 15
110110101 => 111011010 => 111110010 => 3
110110110 => 111011011 => 111110110 => 3
110110111 => 111011011 => 111110110 => 3
110111000 => 111011001 => 110110110 => 15
110111001 => 111011010 => 111110010 => 3
110111010 => 111011101 => 111111100 => 0
110111011 => 111011101 => 111111100 => 0
110111100 => 111011101 => 111111100 => 0
110111101 => 111011110 => 111111100 => 0
110111110 => 111011111 => 111111110 => 0
110111111 => 111011111 => 111111110 => 0
111000000 => 111000001 => 100001110 => 42
111000001 => 111000010 => 100011010 => 31
111000010 => 111000101 => 100110110 => 31
111000011 => 111000101 => 100110110 => 31
111000100 => 111001001 => 110010110 => 22
111000101 => 111001010 => 101110010 => 15
111000110 => 111001011 => 101101110 => 24
111000111 => 111001011 => 101101110 => 24
111001000 => 111010001 => 101001110 => 31
111001001 => 111010010 => 110101010 => 14
111001010 => 111010101 => 111100110 => 8
111001011 => 111010101 => 111100110 => 8
111001100 => 111010101 => 111100110 => 8
111001101 => 111010110 => 111101100 => 3
111001110 => 111010111 => 111011110 => 10
111001111 => 111010111 => 111011110 => 10
111010000 => 111100001 => 100011110 => 42
111010001 => 111100010 => 100110110 => 31
111010010 => 111100101 => 101101110 => 24
111010011 => 111100101 => 101101110 => 24
111010100 => 111101001 => 110011110 => 24
111010101 => 111101010 => 111100110 => 8
111010110 => 111101011 => 111011110 => 10
111010111 => 111101011 => 111011110 => 10
111011000 => 111101001 => 110011110 => 24
111011001 => 111101010 => 111100110 => 8
111011010 => 111101101 => 111110110 => 3
111011011 => 111101101 => 111110110 => 3
111011100 => 111101101 => 111110110 => 3
111011101 => 111101110 => 111111100 => 0
111011110 => 111101111 => 111111110 => 0
111011111 => 111101111 => 111111110 => 0
111100000 => 111100001 => 100011110 => 42
111100001 => 111100010 => 100110110 => 31
111100010 => 111100101 => 101101110 => 24
111100011 => 111100101 => 101101110 => 24
111100100 => 111101001 => 110011110 => 24
111100101 => 111101010 => 111100110 => 8
111100110 => 111101011 => 111011110 => 10
111100111 => 111101011 => 111011110 => 10
111101000 => 111110001 => 100111110 => 35
111101001 => 111110010 => 101101110 => 24
111101010 => 111110101 => 111011110 => 10
111101011 => 111110101 => 111011110 => 10
111101100 => 111110101 => 111011110 => 10
111101101 => 111110110 => 111110110 => 3
111101110 => 111110111 => 111111110 => 0
111101111 => 111110111 => 111111110 => 0
111110000 => 111110001 => 100111110 => 35
111110001 => 111110010 => 101101110 => 24
111110010 => 111110101 => 111011110 => 10
111110011 => 111110101 => 111011110 => 10
111110100 => 111111001 => 101111110 => 21
111110101 => 111111010 => 111011110 => 10
111110110 => 111111011 => 111111110 => 0
111110111 => 111111011 => 111111110 => 0
111111000 => 111111001 => 101111110 => 21
111111001 => 111111010 => 111011110 => 10
111111010 => 111111101 => 111111110 => 0
111111011 => 111111101 => 111111110 => 0
111111100 => 111111101 => 111111110 => 0
111111101 => 111111110 => 111111110 => 0
111111110 => 111111111 => 111111111 => 0
111111111 => 111111111 => 111111111 => 0
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Description
The non-inversion sum of a binary word.
A pair $a < b$ is an noninversion of a binary word $w = w_1 \cdots w_n$ if $w_a < w_b$. The non-inversion sum is given by $\sum(b-a)$ over all non-inversions of $w$.
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
valleys-to-peaks
Description
Return the binary word with every valley replaced by a peak.
A valley in a binary word is a subsequence $01$, or a trailing $0$. A peak is a subsequence $10$ or a trailing $1$. This map replaces every valley with a peak.