Identifier
Values
0 => 0 => 0
1 => 1 => 0
00 => 00 => 0
01 => 10 => 0
10 => 01 => 0
11 => 11 => 0
000 => 000 => 0
001 => 010 => 0
010 => 100 => 1
011 => 101 => 0
100 => 001 => 0
101 => 110 => 1
110 => 011 => 0
111 => 111 => 0
0000 => 0000 => 0
0001 => 0010 => 0
0010 => 0100 => 1
0011 => 0101 => 0
0100 => 1000 => 2
0101 => 1010 => 2
0110 => 1001 => 1
0111 => 1011 => 0
1000 => 0001 => 0
1001 => 0110 => 1
1010 => 1100 => 0
1011 => 1101 => 1
1100 => 0011 => 0
1101 => 1110 => 2
1110 => 0111 => 0
1111 => 1111 => 0
00000 => 00000 => 0
00001 => 00010 => 0
00010 => 00100 => 1
00011 => 00101 => 0
00100 => 01000 => 2
00101 => 01010 => 2
00110 => 01001 => 1
00111 => 01011 => 0
01000 => 10000 => 3
01001 => 10010 => 3
01010 => 10100 => 1
01011 => 10101 => 2
01100 => 10001 => 2
01101 => 10110 => 3
01110 => 10011 => 1
01111 => 10111 => 0
10000 => 00001 => 0
10001 => 00110 => 1
10010 => 01100 => 0
10011 => 01101 => 1
10100 => 11000 => 2
10101 => 11010 => 1
10110 => 11001 => 0
10111 => 11011 => 1
11000 => 00011 => 0
11001 => 01110 => 2
11010 => 11100 => 2
11011 => 11101 => 2
11100 => 00111 => 0
11101 => 11110 => 3
11110 => 01111 => 0
11111 => 11111 => 0
000000 => 000000 => 0
000001 => 000010 => 0
000010 => 000100 => 1
000011 => 000101 => 0
000100 => 001000 => 2
000101 => 001010 => 2
000110 => 001001 => 1
000111 => 001011 => 0
001000 => 010000 => 3
001001 => 010010 => 3
001010 => 010100 => 1
001011 => 010101 => 2
001100 => 010001 => 2
001101 => 010110 => 3
001110 => 010011 => 1
001111 => 010111 => 0
010000 => 100000 => 4
010001 => 100010 => 4
010010 => 100100 => 2
010011 => 100101 => 3
010100 => 101000 => 3
010101 => 101010 => 2
010110 => 101001 => 1
010111 => 101011 => 2
011000 => 100001 => 3
011001 => 100110 => 4
011010 => 101100 => 3
011011 => 101101 => 3
011100 => 100011 => 2
011101 => 101110 => 4
011110 => 100111 => 1
011111 => 101111 => 0
100000 => 000001 => 0
100001 => 000110 => 1
100010 => 001100 => 0
100011 => 001101 => 1
100100 => 011000 => 2
100101 => 011010 => 1
100110 => 011001 => 0
>>> Load all 1714 entries. <<<
100111 => 011011 => 1
101000 => 110000 => 4
101001 => 110010 => 3
101010 => 110100 => 4
101011 => 110101 => 1
101100 => 110001 => 2
101101 => 110110 => 2
101110 => 110011 => 0
101111 => 110111 => 1
110000 => 000011 => 0
110001 => 001110 => 2
110010 => 011100 => 2
110011 => 011101 => 2
110100 => 111000 => 0
110101 => 111010 => 3
110110 => 111001 => 2
110111 => 111011 => 2
111000 => 000111 => 0
111001 => 011110 => 3
111010 => 111100 => 4
111011 => 111101 => 3
111100 => 001111 => 0
111101 => 111110 => 4
111110 => 011111 => 0
111111 => 111111 => 0
0000000 => 0000000 => 0
0000001 => 0000010 => 0
0000010 => 0000100 => 1
0000011 => 0000101 => 0
0000100 => 0001000 => 2
0000101 => 0001010 => 2
0000110 => 0001001 => 1
0000111 => 0001011 => 0
0001000 => 0010000 => 3
0001001 => 0010010 => 3
0001010 => 0010100 => 1
0001011 => 0010101 => 2
0001100 => 0010001 => 2
0001101 => 0010110 => 3
0001110 => 0010011 => 1
0001111 => 0010111 => 0
0010000 => 0100000 => 4
0010001 => 0100010 => 4
0010010 => 0100100 => 2
0010011 => 0100101 => 3
0010100 => 0101000 => 3
0010101 => 0101010 => 2
0010110 => 0101001 => 1
0010111 => 0101011 => 2
0011000 => 0100001 => 3
0011001 => 0100110 => 4
0011010 => 0101100 => 3
0011011 => 0101101 => 3
0011100 => 0100011 => 2
0011101 => 0101110 => 4
0011110 => 0100111 => 1
0011111 => 0101111 => 0
0100000 => 1000000 => 5
0100001 => 1000010 => 5
0100010 => 1000100 => 3
0100011 => 1000101 => 4
0100100 => 1001000 => 4
0100101 => 1001010 => 3
0100110 => 1001001 => 2
0100111 => 1001011 => 3
0101000 => 1010000 => 5
0101001 => 1010010 => 4
0101010 => 1010100 => 5
0101011 => 1010101 => 2
0101100 => 1010001 => 3
0101101 => 1010110 => 3
0101110 => 1010011 => 1
0101111 => 1010111 => 2
0110000 => 1000001 => 4
0110001 => 1000110 => 5
0110010 => 1001100 => 4
0110011 => 1001101 => 4
0110100 => 1011000 => 1
0110101 => 1011010 => 4
0110110 => 1011001 => 3
0110111 => 1011011 => 3
0111000 => 1000011 => 3
0111001 => 1001110 => 5
0111010 => 1011100 => 5
0111011 => 1011101 => 4
0111100 => 1000111 => 2
0111101 => 1011110 => 5
0111110 => 1001111 => 1
0111111 => 1011111 => 0
1000000 => 0000001 => 0
1000001 => 0000110 => 1
1000010 => 0001100 => 0
1000011 => 0001101 => 1
1000100 => 0011000 => 2
1000101 => 0011010 => 1
1000110 => 0011001 => 0
1000111 => 0011011 => 1
1001000 => 0110000 => 4
1001001 => 0110010 => 3
1001010 => 0110100 => 4
1001011 => 0110101 => 1
1001100 => 0110001 => 2
1001101 => 0110110 => 2
1001110 => 0110011 => 0
1001111 => 0110111 => 1
1010000 => 1100000 => 6
1010001 => 1100010 => 5
1010010 => 1100100 => 6
1010011 => 1100101 => 3
1010100 => 1101000 => 2
1010101 => 1101010 => 5
1010110 => 1101001 => 4
1010111 => 1101011 => 1
1011000 => 1100001 => 4
1011001 => 1100110 => 4
1011010 => 1101100 => 6
1011011 => 1101101 => 2
1011100 => 1100011 => 2
1011101 => 1101110 => 3
1011110 => 1100111 => 0
1011111 => 1101111 => 1
1100000 => 0000011 => 0
1100001 => 0001110 => 2
1100010 => 0011100 => 2
1100011 => 0011101 => 2
1100100 => 0111000 => 0
1100101 => 0111010 => 3
1100110 => 0111001 => 2
1100111 => 0111011 => 2
1101000 => 1110000 => 3
1101001 => 1110010 => 1
1101010 => 1110100 => 2
1101011 => 1110101 => 3
1101100 => 1110001 => 0
1101101 => 1110110 => 4
1101110 => 1110011 => 2
1101111 => 1110111 => 2
1110000 => 0000111 => 0
1110001 => 0011110 => 3
1110010 => 0111100 => 4
1110011 => 0111101 => 3
1110100 => 1111000 => 3
1110101 => 1111010 => 5
1110110 => 1111001 => 4
1110111 => 1111011 => 3
1111000 => 0001111 => 0
1111001 => 0111110 => 4
1111010 => 1111100 => 6
1111011 => 1111101 => 4
1111100 => 0011111 => 0
1111101 => 1111110 => 5
1111110 => 0111111 => 0
1111111 => 1111111 => 0
00000000 => 00000000 => 0
00000001 => 00000010 => 0
00000010 => 00000100 => 1
00000011 => 00000101 => 0
00000100 => 00001000 => 2
00000101 => 00001010 => 2
00000110 => 00001001 => 1
00000111 => 00001011 => 0
00001000 => 00010000 => 3
00001001 => 00010010 => 3
00001010 => 00010100 => 1
00001011 => 00010101 => 2
00001100 => 00010001 => 2
00001101 => 00010110 => 3
00001110 => 00010011 => 1
00001111 => 00010111 => 0
00010000 => 00100000 => 4
00010001 => 00100010 => 4
00010010 => 00100100 => 2
00010011 => 00100101 => 3
00010100 => 00101000 => 3
00010101 => 00101010 => 2
00010110 => 00101001 => 1
00010111 => 00101011 => 2
00011000 => 00100001 => 3
00011001 => 00100110 => 4
00011010 => 00101100 => 3
00011011 => 00101101 => 3
00011100 => 00100011 => 2
00011101 => 00101110 => 4
00011110 => 00100111 => 1
00011111 => 00101111 => 0
00100000 => 01000000 => 5
00100001 => 01000010 => 5
00100010 => 01000100 => 3
00100011 => 01000101 => 4
00100100 => 01001000 => 4
00100101 => 01001010 => 3
00100110 => 01001001 => 2
00100111 => 01001011 => 3
00101000 => 01010000 => 5
00101001 => 01010010 => 4
00101010 => 01010100 => 5
00101011 => 01010101 => 2
00101100 => 01010001 => 3
00101101 => 01010110 => 3
00101110 => 01010011 => 1
00101111 => 01010111 => 2
00110000 => 01000001 => 4
00110001 => 01000110 => 5
00110010 => 01001100 => 4
00110011 => 01001101 => 4
00110100 => 01011000 => 1
00110101 => 01011010 => 4
00110110 => 01011001 => 3
00110111 => 01011011 => 3
00111000 => 01000011 => 3
00111001 => 01001110 => 5
00111010 => 01011100 => 5
00111011 => 01011101 => 4
00111100 => 01000111 => 2
00111101 => 01011110 => 5
00111110 => 01001111 => 1
00111111 => 01011111 => 0
01000000 => 10000000 => 6
01000001 => 10000010 => 6
01000010 => 10000100 => 4
01000011 => 10000101 => 5
01000100 => 10001000 => 5
01000101 => 10001010 => 4
01000110 => 10001001 => 3
01000111 => 10001011 => 4
01001000 => 10010000 => 6
01001001 => 10010010 => 5
01001010 => 10010100 => 6
01001011 => 10010101 => 3
01001100 => 10010001 => 4
01001101 => 10010110 => 4
01001110 => 10010011 => 2
01001111 => 10010111 => 3
01010000 => 10100000 => 7
01010001 => 10100010 => 6
01010010 => 10100100 => 7
01010011 => 10100101 => 4
01010100 => 10101000 => 3
01010101 => 10101010 => 6
01010110 => 10101001 => 5
01010111 => 10101011 => 2
01011000 => 10100001 => 5
01011001 => 10100110 => 5
01011010 => 10101100 => 7
01011011 => 10101101 => 3
01011100 => 10100011 => 3
01011101 => 10101110 => 4
01011110 => 10100111 => 1
01011111 => 10101111 => 2
01100000 => 10000001 => 5
01100001 => 10000110 => 6
01100010 => 10001100 => 5
01100011 => 10001101 => 5
01100100 => 10011000 => 2
01100101 => 10011010 => 5
01100110 => 10011001 => 4
01100111 => 10011011 => 4
01101000 => 10110000 => 4
01101001 => 10110010 => 2
01101010 => 10110100 => 3
01101011 => 10110101 => 4
01101100 => 10110001 => 1
01101101 => 10110110 => 5
01101110 => 10110011 => 3
01101111 => 10110111 => 3
01110000 => 10000011 => 4
01110001 => 10001110 => 6
01110010 => 10011100 => 6
01110011 => 10011101 => 5
01110100 => 10111000 => 4
01110101 => 10111010 => 6
01110110 => 10111001 => 5
01110111 => 10111011 => 4
01111000 => 10000111 => 3
01111001 => 10011110 => 6
01111010 => 10111100 => 7
01111011 => 10111101 => 5
01111100 => 10001111 => 2
01111101 => 10111110 => 6
01111110 => 10011111 => 1
01111111 => 10111111 => 0
10000000 => 00000001 => 0
10000001 => 00000110 => 1
10000010 => 00001100 => 0
10000011 => 00001101 => 1
10000100 => 00011000 => 2
10000101 => 00011010 => 1
10000110 => 00011001 => 0
10000111 => 00011011 => 1
10001000 => 00110000 => 4
10001001 => 00110010 => 3
10001010 => 00110100 => 4
10001011 => 00110101 => 1
10001100 => 00110001 => 2
10001101 => 00110110 => 2
10001110 => 00110011 => 0
10001111 => 00110111 => 1
10010000 => 01100000 => 6
10010001 => 01100010 => 5
10010010 => 01100100 => 6
10010011 => 01100101 => 3
10010100 => 01101000 => 2
10010101 => 01101010 => 5
10010110 => 01101001 => 4
10010111 => 01101011 => 1
10011000 => 01100001 => 4
10011001 => 01100110 => 4
10011010 => 01101100 => 6
10011011 => 01101101 => 2
10011100 => 01100011 => 2
10011101 => 01101110 => 3
10011110 => 01100111 => 0
10011111 => 01101111 => 1
10100000 => 11000000 => 8
10100001 => 11000010 => 7
10100010 => 11000100 => 8
10100011 => 11000101 => 5
10100100 => 11001000 => 4
10100101 => 11001010 => 7
10100110 => 11001001 => 6
10100111 => 11001011 => 3
10101000 => 11010000 => 5
10101001 => 11010010 => 3
10101010 => 11010100 => 4
10101011 => 11010101 => 5
10101100 => 11010001 => 2
10101101 => 11010110 => 6
10101110 => 11010011 => 4
10101111 => 11010111 => 1
10110000 => 11000001 => 6
10110001 => 11000110 => 6
10110010 => 11001100 => 8
10110011 => 11001101 => 4
10110100 => 11011000 => 5
10110101 => 11011010 => 7
10110110 => 11011001 => 6
10110111 => 11011011 => 2
10111000 => 11000011 => 4
10111001 => 11001110 => 5
10111010 => 11011100 => 8
10111011 => 11011101 => 3
10111100 => 11000111 => 2
10111101 => 11011110 => 4
10111110 => 11001111 => 0
10111111 => 11011111 => 1
11000000 => 00000011 => 0
11000001 => 00001110 => 2
11000010 => 00011100 => 2
11000011 => 00011101 => 2
11000100 => 00111000 => 0
11000101 => 00111010 => 3
11000110 => 00111001 => 2
11000111 => 00111011 => 2
11001000 => 01110000 => 3
11001001 => 01110010 => 1
11001010 => 01110100 => 2
11001011 => 01110101 => 3
11001100 => 01110001 => 0
11001101 => 01110110 => 4
11001110 => 01110011 => 2
11001111 => 01110111 => 2
11010000 => 11100000 => 6
11010001 => 11100010 => 4
11010010 => 11100100 => 5
11010011 => 11100101 => 1
11010100 => 11101000 => 6
11010101 => 11101010 => 3
11010110 => 11101001 => 2
11010111 => 11101011 => 3
11011000 => 11100001 => 3
11011001 => 11100110 => 2
11011010 => 11101100 => 4
11011011 => 11101101 => 4
11011100 => 11100011 => 0
11011101 => 11101110 => 5
11011110 => 11100111 => 2
11011111 => 11101111 => 2
11100000 => 00000111 => 0
11100001 => 00011110 => 3
11100010 => 00111100 => 4
11100011 => 00111101 => 3
11100100 => 01111000 => 3
11100101 => 01111010 => 5
11100110 => 01111001 => 4
11100111 => 01111011 => 3
11101000 => 11110000 => 0
11101001 => 11110010 => 4
11101010 => 11110100 => 5
11101011 => 11110101 => 5
11101100 => 11110001 => 3
11101101 => 11110110 => 6
11101110 => 11110011 => 4
11101111 => 11110111 => 3
11110000 => 00001111 => 0
11110001 => 00111110 => 4
11110010 => 01111100 => 6
11110011 => 01111101 => 4
11110100 => 11111000 => 6
11110101 => 11111010 => 7
11110110 => 11111001 => 6
11110111 => 11111011 => 4
11111000 => 00011111 => 0
11111001 => 01111110 => 5
11111010 => 11111100 => 8
11111011 => 11111101 => 5
11111100 => 00111111 => 0
11111101 => 11111110 => 6
11111110 => 01111111 => 0
11111111 => 11111111 => 0
000000000 => 000000000 => 0
000000001 => 000000010 => 0
000000010 => 000000100 => 1
000000011 => 000000101 => 0
000000100 => 000001000 => 2
000000101 => 000001010 => 2
000000110 => 000001001 => 1
000000111 => 000001011 => 0
000001000 => 000010000 => 3
000001001 => 000010010 => 3
000001010 => 000010100 => 1
000001011 => 000010101 => 2
000001100 => 000010001 => 2
000001101 => 000010110 => 3
000001110 => 000010011 => 1
000001111 => 000010111 => 0
000010000 => 000100000 => 4
000010001 => 000100010 => 4
000010010 => 000100100 => 2
000010011 => 000100101 => 3
000010100 => 000101000 => 3
000010101 => 000101010 => 2
000010110 => 000101001 => 1
000010111 => 000101011 => 2
000011000 => 000100001 => 3
000011001 => 000100110 => 4
000011010 => 000101100 => 3
000011011 => 000101101 => 3
000011100 => 000100011 => 2
000011101 => 000101110 => 4
000011110 => 000100111 => 1
000011111 => 000101111 => 0
000100000 => 001000000 => 5
000100001 => 001000010 => 5
000100010 => 001000100 => 3
000100011 => 001000101 => 4
000100100 => 001001000 => 4
000100101 => 001001010 => 3
000100110 => 001001001 => 2
000100111 => 001001011 => 3
000101000 => 001010000 => 5
000101001 => 001010010 => 4
000101010 => 001010100 => 5
000101011 => 001010101 => 2
000101100 => 001010001 => 3
000101101 => 001010110 => 3
000101110 => 001010011 => 1
000101111 => 001010111 => 2
000110000 => 001000001 => 4
000110001 => 001000110 => 5
000110010 => 001001100 => 4
000110011 => 001001101 => 4
000110100 => 001011000 => 1
000110101 => 001011010 => 4
000110110 => 001011001 => 3
000110111 => 001011011 => 3
000111000 => 001000011 => 3
000111001 => 001001110 => 5
000111010 => 001011100 => 5
000111011 => 001011101 => 4
000111100 => 001000111 => 2
000111101 => 001011110 => 5
000111110 => 001001111 => 1
000111111 => 001011111 => 0
001000000 => 010000000 => 6
001000001 => 010000010 => 6
001000010 => 010000100 => 4
001000011 => 010000101 => 5
001000100 => 010001000 => 5
001000101 => 010001010 => 4
001000110 => 010001001 => 3
001000111 => 010001011 => 4
001001000 => 010010000 => 6
001001001 => 010010010 => 5
001001010 => 010010100 => 6
001001011 => 010010101 => 3
001001100 => 010010001 => 4
001001101 => 010010110 => 4
001001110 => 010010011 => 2
001001111 => 010010111 => 3
001010000 => 010100000 => 7
001010001 => 010100010 => 6
001010010 => 010100100 => 7
001010011 => 010100101 => 4
001010100 => 010101000 => 3
001010101 => 010101010 => 6
001010110 => 010101001 => 5
001010111 => 010101011 => 2
001011000 => 010100001 => 5
001011001 => 010100110 => 5
001011010 => 010101100 => 7
001011011 => 010101101 => 3
001011100 => 010100011 => 3
001011101 => 010101110 => 4
001011110 => 010100111 => 1
001011111 => 010101111 => 2
001100000 => 010000001 => 5
001100001 => 010000110 => 6
001100010 => 010001100 => 5
001100011 => 010001101 => 5
001100100 => 010011000 => 2
001100101 => 010011010 => 5
001100110 => 010011001 => 4
001100111 => 010011011 => 4
001101000 => 010110000 => 4
001101001 => 010110010 => 2
001101010 => 010110100 => 3
001101011 => 010110101 => 4
001101100 => 010110001 => 1
001101101 => 010110110 => 5
001101110 => 010110011 => 3
001101111 => 010110111 => 3
001110000 => 010000011 => 4
001110001 => 010001110 => 6
001110010 => 010011100 => 6
001110011 => 010011101 => 5
001110100 => 010111000 => 4
001110101 => 010111010 => 6
001110110 => 010111001 => 5
001110111 => 010111011 => 4
001111000 => 010000111 => 3
001111001 => 010011110 => 6
001111010 => 010111100 => 7
001111011 => 010111101 => 5
001111100 => 010001111 => 2
001111101 => 010111110 => 6
001111110 => 010011111 => 1
001111111 => 010111111 => 0
010000000 => 100000000 => 7
010000001 => 100000010 => 7
010000010 => 100000100 => 5
010000011 => 100000101 => 6
010000100 => 100001000 => 6
010000101 => 100001010 => 5
010000110 => 100001001 => 4
010000111 => 100001011 => 5
010001000 => 100010000 => 7
010001001 => 100010010 => 6
010001010 => 100010100 => 7
010001011 => 100010101 => 4
010001100 => 100010001 => 5
010001101 => 100010110 => 5
010001110 => 100010011 => 3
010001111 => 100010111 => 4
010010000 => 100100000 => 8
010010001 => 100100010 => 7
010010010 => 100100100 => 8
010010011 => 100100101 => 5
010010100 => 100101000 => 4
010010101 => 100101010 => 7
010010110 => 100101001 => 6
010010111 => 100101011 => 3
010011000 => 100100001 => 6
010011001 => 100100110 => 6
010011010 => 100101100 => 8
010011011 => 100101101 => 4
010011100 => 100100011 => 4
010011101 => 100101110 => 5
010011110 => 100100111 => 2
010011111 => 100101111 => 3
010100000 => 101000000 => 9
010100001 => 101000010 => 8
010100010 => 101000100 => 9
010100011 => 101000101 => 6
010100100 => 101001000 => 5
010100101 => 101001010 => 8
010100110 => 101001001 => 7
010100111 => 101001011 => 4
010101000 => 101010000 => 6
010101001 => 101010010 => 4
010101010 => 101010100 => 5
010101011 => 101010101 => 6
010101100 => 101010001 => 3
010101101 => 101010110 => 7
010101110 => 101010011 => 5
010101111 => 101010111 => 2
010110000 => 101000001 => 7
010110001 => 101000110 => 7
010110010 => 101001100 => 9
010110011 => 101001101 => 5
010110100 => 101011000 => 6
010110101 => 101011010 => 8
010110110 => 101011001 => 7
010110111 => 101011011 => 3
010111000 => 101000011 => 5
010111001 => 101001110 => 6
010111010 => 101011100 => 9
010111011 => 101011101 => 4
010111100 => 101000111 => 3
010111101 => 101011110 => 5
010111110 => 101001111 => 1
010111111 => 101011111 => 2
011000000 => 100000001 => 6
011000001 => 100000110 => 7
011000010 => 100001100 => 6
011000011 => 100001101 => 6
011000100 => 100011000 => 3
011000101 => 100011010 => 6
011000110 => 100011001 => 5
011000111 => 100011011 => 5
011001000 => 100110000 => 5
011001001 => 100110010 => 3
011001010 => 100110100 => 4
011001011 => 100110101 => 5
011001100 => 100110001 => 2
011001101 => 100110110 => 6
011001110 => 100110011 => 4
011001111 => 100110111 => 4
011010000 => 101100000 => 7
011010001 => 101100010 => 5
011010010 => 101100100 => 6
011010011 => 101100101 => 2
011010100 => 101101000 => 7
011010101 => 101101010 => 4
011010110 => 101101001 => 3
011010111 => 101101011 => 4
011011000 => 101100001 => 4
011011001 => 101100110 => 3
011011010 => 101101100 => 5
011011011 => 101101101 => 5
011011100 => 101100011 => 1
011011101 => 101101110 => 6
011011110 => 101100111 => 3
011011111 => 101101111 => 3
011100000 => 100000011 => 5
011100001 => 100001110 => 7
011100010 => 100011100 => 7
011100011 => 100011101 => 6
011100100 => 100111000 => 5
011100101 => 100111010 => 7
011100110 => 100111001 => 6
011100111 => 100111011 => 5
011101000 => 101110000 => 1
011101001 => 101110010 => 5
011101010 => 101110100 => 6
011101011 => 101110101 => 6
011101100 => 101110001 => 4
011101101 => 101110110 => 7
011101110 => 101110011 => 5
011101111 => 101110111 => 4
011110000 => 100000111 => 4
011110001 => 100011110 => 7
011110010 => 100111100 => 8
011110011 => 100111101 => 6
011110100 => 101111000 => 7
011110101 => 101111010 => 8
011110110 => 101111001 => 7
011110111 => 101111011 => 5
011111000 => 100001111 => 3
011111001 => 100111110 => 7
011111010 => 101111100 => 9
011111011 => 101111101 => 6
011111100 => 100011111 => 2
011111101 => 101111110 => 7
011111110 => 100111111 => 1
011111111 => 101111111 => 0
100000000 => 000000001 => 0
100000001 => 000000110 => 1
100000010 => 000001100 => 0
100000011 => 000001101 => 1
100000100 => 000011000 => 2
100000101 => 000011010 => 1
100000110 => 000011001 => 0
100000111 => 000011011 => 1
100001000 => 000110000 => 4
100001001 => 000110010 => 3
100001010 => 000110100 => 4
100001011 => 000110101 => 1
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0000000100 => 0000001000 => 2
0000001010 => 0000010100 => 1
0000010110 => 0000101001 => 1
0000101110 => 0001010011 => 1
0001011110 => 0010100111 => 1
00111111110 => 01001111111 => 1
0011110000 => 0100000111 => 4
01001010101 => 10010101010 => 7
01001010010 => 10010100100 => 9
01001001001 => 10010010010 => 7
01001001010 => 10010010100 => 8
01001000100 => 10010001000 => 8
01000100101 => 10001001010 => 10
01000100010 => 10001000100 => 11
01000101001 => 10001010010 => 6
01000101010 => 10001010100 => 7
01000100100 => 10001001000 => 7
01000010001 => 10000100010 => 9
01000010010 => 10000100100 => 10
01000010100 => 10000101000 => 6
01000001000 => 10000010000 => 9
01010010101 => 10100101010 => 8
01010010010 => 10100100100 => 10
01010001001 => 10100010010 => 8
01010001010 => 10100010100 => 9
01010000100 => 10100001000 => 9
01010100101 => 10101001010 => 9
01010100010 => 10101000100 => 11
01010101001 => 10101010010 => 10
01010010001 => 10100100010 => 9
01001000101 => 10010001010 => 11
01001000010 => 10010000100 => 12
01001010001 => 10010100010 => 8
01000100001 => 10001000010 => 10
00100010101 => 01000101010 => 8
00100010010 => 01000100100 => 9
00100001001 => 01000010010 => 7
00100001010 => 01000010100 => 8
00100000100 => 01000001000 => 7
00100100101 => 01001001010 => 9
00100100010 => 01001000100 => 10
00100101001 => 01001010010 => 5
00100101010 => 01001010100 => 6
00100100100 => 01001001000 => 6
00100010001 => 01000100010 => 8
00100010100 => 01000101000 => 5
00100001000 => 01000010000 => 8
00101000101 => 01010001010 => 10
00101000010 => 01010000100 => 11
00101001001 => 01010010010 => 6
00101001010 => 01010010100 => 7
00101000100 => 01010001000 => 7
00101010001 => 01010100010 => 7
00101010010 => 01010100100 => 8
00100100001 => 01001000010 => 9
00010000101 => 00100001010 => 5
00010000010 => 00100000100 => 5
00010001001 => 00100010010 => 6
00010001010 => 00100010100 => 7
00010000100 => 00100001000 => 6
00010010001 => 00100100010 => 7
00010010010 => 00100100100 => 8
00010010100 => 00100101000 => 4
00010001000 => 00100010000 => 7
00010100001 => 00101000010 => 8
00010100010 => 00101000100 => 9
00010100100 => 00101001000 => 5
00001000001 => 00010000010 => 6
00001000010 => 00010000100 => 4
00001000100 => 00010001000 => 5
00001001000 => 00010010000 => 6
0100000000 => 1000000000 => 8
01000000000 => 10000000000 => 9
0100000101 => 1000001010 => 6
0101010110 => 1010101001 => 5
0101011001 => 1010100110 => 5
0101011010 => 1010101100 => 7
0101100101 => 1010011010 => 10
0101100110 => 1010011001 => 9
0101101001 => 1010110010 => 7
0101101010 => 1010110100 => 8
0101101100 => 1010110001 => 6
0101110001 => 1010001110 => 8
0101110100 => 1010111000 => 9
0110010101 => 1001101010 => 5
0110010110 => 1001101001 => 4
0110011001 => 1001100110 => 4
0110011010 => 1001101100 => 6
0110100101 => 1011001010 => 7
0110100110 => 1011001001 => 6
0110101001 => 1011010010 => 8
0110101010 => 1011010100 => 9
0110101100 => 1011010001 => 7
0110110010 => 1011001100 => 8
0110110100 => 1011011000 => 10
0111000101 => 1000111010 => 8
0111001010 => 1001110100 => 7
0111001100 => 1001110001 => 5
0111010010 => 1011100100 => 3
0111011000 => 1011100001 => 1
0111100010 => 1000111100 => 9
0111100100 => 1001111000 => 8
0111101000 => 1011110000 => 5
010101010110 => 101010101001 => 11
010101011010 => 101010101100 => 13
010101100110 => 101010011001 => 10
010101101001 => 101010110010 => 13
010101101100 => 101010110001 => 12
010101110100 => 101010111000 => 15
010110010110 => 101001101001 => 10
010110100101 => 101011001010 => 6
010110101001 => 101011010010 => 7
010110101010 => 101011010100 => 8
010110101100 => 101011010001 => 6
010110110100 => 101011011000 => 9
010111001100 => 101001110001 => 11
010111010001 => 101011100010 => 8
010111010010 => 101011100100 => 9
010111010100 => 101011101000 => 10
010111011000 => 101011100001 => 7
010111100100 => 101001111000 => 14
011001010110 => 100110101001 => 10
011001101100 => 100110110001 => 11
011010010101 => 101100101010 => 13
011010010110 => 101100101001 => 12
011010011010 => 101100101100 => 14
011010100101 => 101101001010 => 7
011010100110 => 101101001001 => 6
011010101001 => 101101010010 => 8
011010101010 => 101101010100 => 9
011010101100 => 101101010001 => 7
011010110010 => 101101001100 => 8
011010110100 => 101101011000 => 10
011011000110 => 101100011001 => 11
011011001001 => 101100110010 => 14
011011001010 => 101100110100 => 15
011011001100 => 101100110001 => 13
011011010001 => 101101100010 => 9
011011010010 => 101101100100 => 10
011011010100 => 101101101000 => 11
011011011000 => 101101100001 => 8
011011100100 => 101100111000 => 16
011011101000 => 101101110000 => 12
011100101010 => 100111010100 => 7
011100101100 => 100111010001 => 5
011100110100 => 100111011000 => 8
011101000101 => 101110001010 => 8
011101000110 => 101110001001 => 7
011101001001 => 101110010010 => 9
011101001100 => 101110010001 => 8
011101010001 => 101110100010 => 10
011101010010 => 101110100100 => 11
011101010100 => 101110101000 => 12
011101011000 => 101110100001 => 9
011101100100 => 101110011000 => 11
011110001010 => 100011110100 => 11
011110010100 => 100111101000 => 9
011110100001 => 101111000010 => 2
011110100010 => 101111000100 => 3
011110100100 => 101111001000 => 4
011110101000 => 101111010000 => 5
011110110000 => 101111000001 => 1
011111000100 => 100011111000 => 12
011111010000 => 101111100000 => 6
0011101010 => 0101110100 => 6
0011101100 => 0101110001 => 4
0001101110 => 0010110011 => 3
0010110110 => 0101011001 => 7
0011110010 => 0100111100 => 8
0010111010 => 0101011100 => 9
0011111000 => 0100001111 => 3
0001111010 => 0010111100 => 7
0001111100 => 0010001111 => 2
001111001010 => 010011110100 => 10
100111001100 => 011001110001 => 10
001011010110 => 010101101001 => 8
001111010010 => 010111100100 => 7
100111010100 => 011011101000 => 9
001111010100 => 010111101000 => 8
001011011010 => 010101101100 => 10
100111011000 => 011011100001 => 6
001111011000 => 010111100001 => 5
000011011110 => 000101100111 => 3
001101100110 => 010110011001 => 8
001101101010 => 010110110100 => 12
100101101100 => 011010110001 => 11
001101101100 => 010110110001 => 10
001111100010 => 010001111100 => 11
100111100100 => 011001111000 => 13
001111100100 => 010011111000 => 11
010011101010 => 100101110100 => 12
001011101010 => 010101110100 => 11
100111101000 => 011011110000 => 10
001111101000 => 010111110000 => 9
000111101010 => 001011110100 => 9
010011101100 => 100101110001 => 10
001011101100 => 010101110001 => 9
000011101110 => 000101110011 => 5
101001110100 => 110010111000 => 16
001101110010 => 010110011100 => 10
100101110100 => 011010111000 => 14
001101110100 => 010110111000 => 13
001111110000 => 010000011111 => 4
100011110100 => 001101111000 => 11
010011110100 => 100101111000 => 13
001011110100 => 010101111000 => 12
000111110100 => 001011111000 => 10
100011111000 => 001100001111 => 4
001011111000 => 010100001111 => 5
000011111010 => 000101111100 => 9
001001111100 => 010010001111 => 4
000101111100 => 001010001111 => 3
000011111100 => 000100011111 => 2
0000000101 => 0000001010 => 2
0000001101 => 0000010110 => 3
0000011101 => 0000101110 => 4
0000001001 => 0000010010 => 3
0000010101 => 0000101010 => 2
0000101101 => 0001010110 => 3
0101111101 => 1010111110 => 6
11111111101 => 11111111110 => 9
100101010101 => 011010101010 => 11
100101011001 => 011010100110 => 10
100101100101 => 011010011010 => 10
100101101001 => 011010110010 => 12
100110010101 => 011001101010 => 10
100110101001 => 011011010010 => 6
100111001001 => 011001110010 => 11
100111010001 => 011011100010 => 7
101001010101 => 110010101010 => 13
101001101001 => 110010110010 => 14
101010100101 => 110101001010 => 8
101010101001 => 110101010010 => 9
101011001001 => 110100110010 => 15
101100101001 => 110011010010 => 8
101101000101 => 110110001010 => 9
101101001001 => 110110010010 => 10
101101010001 => 110110100010 => 11
101110100001 => 110111000010 => 3
110010010101 => 011100101010 => 12
110010011001 => 011100100110 => 11
110010100101 => 011101001010 => 6
110010101001 => 011101010010 => 7
110010110001 => 011101000110 => 5
110011000101 => 011100011010 => 11
110011001001 => 011100110010 => 13
110011010001 => 011101100010 => 8
110100010101 => 111000101010 => 15
110100100101 => 111001001010 => 9
110100101001 => 111001010010 => 10
110101000101 => 111010001010 => 10
110101001001 => 111010010010 => 11
110101010001 => 111010100010 => 12
110110001001 => 111000110010 => 16
110110010001 => 111001100010 => 11
110110100001 => 111011000010 => 4
111000010101 => 000111101010 => 6
111000101001 => 001111010010 => 4
111001000101 => 011110001010 => 7
111001001001 => 011110010010 => 8
111001010001 => 011110100010 => 9
111010001001 => 111100010010 => 12
111010100001 => 111101000010 => 5
111100000101 => 000011111010 => 7
111100001001 => 000111110010 => 7
111100010001 => 001111100010 => 5
111100100001 => 011111000010 => 1
111101000001 => 111110000010 => 6
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Description
The number of internal inversions of a binary word.
Let $\bar w$ be the non-decreasing rearrangement of $w$, that is, $\bar w$ is sorted.
An internal inversion is a pair $i < j$ such that $w_i > w_j$ and $\bar w_i = \bar w_j$. For example, the word $110$ has two inversions, but only the second is internal.
Map
rowmotion
Description
Return the rowmotion of the binary word, regarded as an order ideal in the product of two chains.
In particular, this operation preserves the number of ones, and its order is the length of the word, see section 3.3 of [1].