Identifier
Values
0 => 0 => 0
1 => 1 => 0
00 => 00 => 0
01 => 01 => 0
10 => 01 => 0
11 => 11 => 0
000 => 000 => 0
001 => 001 => 0
010 => 001 => 0
011 => 011 => 0
100 => 001 => 0
101 => 011 => 0
110 => 011 => 0
111 => 111 => 0
0000 => 0000 => 0
0001 => 0001 => 0
0010 => 0001 => 0
0011 => 0011 => 0
0100 => 0001 => 0
0101 => 0101 => 1
0110 => 0011 => 0
0111 => 0111 => 0
1000 => 0001 => 0
1001 => 0011 => 0
1010 => 0011 => 0
1011 => 0111 => 0
1100 => 0011 => 0
1101 => 0111 => 0
1110 => 0111 => 0
1111 => 1111 => 0
00000 => 00000 => 0
00001 => 00001 => 0
00010 => 00001 => 0
00011 => 00011 => 0
00100 => 00001 => 0
00101 => 00101 => 1
00110 => 00011 => 0
00111 => 00111 => 0
01000 => 00001 => 0
01001 => 00101 => 1
01010 => 00101 => 1
01011 => 01011 => 1
01100 => 00011 => 0
01101 => 01011 => 1
01110 => 00111 => 0
01111 => 01111 => 0
10000 => 00001 => 0
10001 => 00011 => 0
10010 => 00011 => 0
10011 => 00111 => 0
10100 => 00011 => 0
10101 => 01011 => 1
10110 => 00111 => 0
10111 => 01111 => 0
11000 => 00011 => 0
11001 => 00111 => 0
11010 => 00111 => 0
11011 => 01111 => 0
11100 => 00111 => 0
11101 => 01111 => 0
11110 => 01111 => 0
11111 => 11111 => 0
000000 => 000000 => 0
000001 => 000001 => 0
000010 => 000001 => 0
000011 => 000011 => 0
000100 => 000001 => 0
000101 => 000101 => 1
000110 => 000011 => 0
000111 => 000111 => 0
001000 => 000001 => 0
001001 => 001001 => 3
001010 => 000101 => 1
001011 => 001011 => 1
001100 => 000011 => 0
001101 => 001101 => 3
001110 => 000111 => 0
001111 => 001111 => 0
010000 => 000001 => 0
010001 => 000101 => 1
010010 => 000101 => 1
010011 => 001101 => 3
010100 => 000101 => 1
010101 => 010101 => 5
010110 => 001011 => 1
010111 => 010111 => 1
011000 => 000011 => 0
011001 => 001011 => 1
011010 => 001011 => 1
011011 => 011011 => 3
011100 => 000111 => 0
011101 => 010111 => 1
011110 => 001111 => 0
011111 => 011111 => 0
100000 => 000001 => 0
100001 => 000011 => 0
100010 => 000011 => 0
100011 => 000111 => 0
100100 => 000011 => 0
100101 => 001011 => 1
100110 => 000111 => 0
>>> Load all 1358 entries. <<<
100111 => 001111 => 0
101000 => 000011 => 0
101001 => 001011 => 1
101010 => 001011 => 1
101011 => 010111 => 1
101100 => 000111 => 0
101101 => 010111 => 1
101110 => 001111 => 0
101111 => 011111 => 0
110000 => 000011 => 0
110001 => 000111 => 0
110010 => 000111 => 0
110011 => 001111 => 0
110100 => 000111 => 0
110101 => 010111 => 1
110110 => 001111 => 0
110111 => 011111 => 0
111000 => 000111 => 0
111001 => 001111 => 0
111010 => 001111 => 0
111011 => 011111 => 0
111100 => 001111 => 0
111101 => 011111 => 0
111110 => 011111 => 0
111111 => 111111 => 0
0000000 => 0000000 => 0
0000001 => 0000001 => 0
0000010 => 0000001 => 0
0000011 => 0000011 => 0
0000100 => 0000001 => 0
0000101 => 0000101 => 1
0000110 => 0000011 => 0
0000111 => 0000111 => 0
0001000 => 0000001 => 0
0001001 => 0001001 => 3
0001010 => 0000101 => 1
0001011 => 0001011 => 1
0001100 => 0000011 => 0
0001101 => 0001101 => 3
0001110 => 0000111 => 0
0001111 => 0001111 => 0
0010000 => 0000001 => 0
0010001 => 0001001 => 3
0010010 => 0001001 => 3
0010011 => 0010011 => 3
0010100 => 0000101 => 1
0010101 => 0010101 => 5
0010110 => 0001011 => 1
0010111 => 0010111 => 1
0011000 => 0000011 => 0
0011001 => 0010011 => 3
0011010 => 0001101 => 3
0011011 => 0011011 => 3
0011100 => 0000111 => 0
0011101 => 0011101 => 6
0011110 => 0001111 => 0
0011111 => 0011111 => 0
0100000 => 0000001 => 0
0100001 => 0000101 => 1
0100010 => 0000101 => 1
0100011 => 0001101 => 3
0100100 => 0000101 => 1
0100101 => 0010101 => 5
0100110 => 0001101 => 3
0100111 => 0011101 => 6
0101000 => 0000101 => 1
0101001 => 0010101 => 5
0101010 => 0010101 => 5
0101011 => 0101011 => 5
0101100 => 0001011 => 1
0101101 => 0101011 => 5
0101110 => 0010111 => 1
0101111 => 0101111 => 1
0110000 => 0000011 => 0
0110001 => 0001011 => 1
0110010 => 0001011 => 1
0110011 => 0011011 => 3
0110100 => 0001011 => 1
0110101 => 0101011 => 5
0110110 => 0011011 => 3
0110111 => 0110111 => 3
0111000 => 0000111 => 0
0111001 => 0010111 => 1
0111010 => 0010111 => 1
0111011 => 0110111 => 3
0111100 => 0001111 => 0
0111101 => 0101111 => 1
0111110 => 0011111 => 0
0111111 => 0111111 => 0
1000000 => 0000001 => 0
1000001 => 0000011 => 0
1000010 => 0000011 => 0
1000011 => 0000111 => 0
1000100 => 0000011 => 0
1000101 => 0001011 => 1
1000110 => 0000111 => 0
1000111 => 0001111 => 0
1001000 => 0000011 => 0
1001001 => 0010011 => 3
1001010 => 0001011 => 1
1001011 => 0010111 => 1
1001100 => 0000111 => 0
1001101 => 0011011 => 3
1001110 => 0001111 => 0
1001111 => 0011111 => 0
1010000 => 0000011 => 0
1010001 => 0001011 => 1
1010010 => 0001011 => 1
1010011 => 0011011 => 3
1010100 => 0001011 => 1
1010101 => 0101011 => 5
1010110 => 0010111 => 1
1010111 => 0101111 => 1
1011000 => 0000111 => 0
1011001 => 0010111 => 1
1011010 => 0010111 => 1
1011011 => 0110111 => 3
1011100 => 0001111 => 0
1011101 => 0101111 => 1
1011110 => 0011111 => 0
1011111 => 0111111 => 0
1100000 => 0000011 => 0
1100001 => 0000111 => 0
1100010 => 0000111 => 0
1100011 => 0001111 => 0
1100100 => 0000111 => 0
1100101 => 0010111 => 1
1100110 => 0001111 => 0
1100111 => 0011111 => 0
1101000 => 0000111 => 0
1101001 => 0010111 => 1
1101010 => 0010111 => 1
1101011 => 0101111 => 1
1101100 => 0001111 => 0
1101101 => 0101111 => 1
1101110 => 0011111 => 0
1101111 => 0111111 => 0
1110000 => 0000111 => 0
1110001 => 0001111 => 0
1110010 => 0001111 => 0
1110011 => 0011111 => 0
1110100 => 0001111 => 0
1110101 => 0101111 => 1
1110110 => 0011111 => 0
1110111 => 0111111 => 0
1111000 => 0001111 => 0
1111001 => 0011111 => 0
1111010 => 0011111 => 0
1111011 => 0111111 => 0
1111100 => 0011111 => 0
1111101 => 0111111 => 0
1111110 => 0111111 => 0
1111111 => 1111111 => 0
00000000 => 00000000 => 0
00000001 => 00000001 => 0
00000010 => 00000001 => 0
00000011 => 00000011 => 0
00000100 => 00000001 => 0
00000101 => 00000101 => 1
00000110 => 00000011 => 0
00000111 => 00000111 => 0
00001000 => 00000001 => 0
00001001 => 00001001 => 3
00001010 => 00000101 => 1
00001011 => 00001011 => 1
00001100 => 00000011 => 0
00001101 => 00001101 => 3
00001110 => 00000111 => 0
00001111 => 00001111 => 0
00010000 => 00000001 => 0
00010001 => 00010001 => 6
00010010 => 00001001 => 3
00010011 => 00010011 => 3
00010100 => 00000101 => 1
00010101 => 00010101 => 5
00010110 => 00001011 => 1
00010111 => 00010111 => 1
00011000 => 00000011 => 0
00011001 => 00011001 => 8
00011010 => 00001101 => 3
00011011 => 00011011 => 3
00011100 => 00000111 => 0
00011101 => 00011101 => 6
00011110 => 00001111 => 0
00011111 => 00011111 => 0
00100000 => 00000001 => 0
00100001 => 00001001 => 3
00100010 => 00001001 => 3
00100011 => 00011001 => 8
00100100 => 00001001 => 3
00100101 => 00100101 => 8
00100110 => 00010011 => 3
00100111 => 00100111 => 3
00101000 => 00000101 => 1
00101001 => 00100101 => 8
00101010 => 00010101 => 5
00101011 => 00101011 => 5
00101100 => 00001011 => 1
00101101 => 00101011 => 5
00101110 => 00010111 => 1
00101111 => 00101111 => 1
00110000 => 00000011 => 0
00110001 => 00010011 => 3
00110010 => 00010011 => 3
00110011 => 00110011 => 8
00110100 => 00001101 => 3
00110101 => 00110101 => 11
00110110 => 00011011 => 3
00110111 => 00110111 => 3
00111000 => 00000111 => 0
00111001 => 00100111 => 3
00111010 => 00011101 => 6
00111011 => 00111011 => 6
00111100 => 00001111 => 0
00111101 => 00111101 => 10
00111110 => 00011111 => 0
00111111 => 00111111 => 0
01000000 => 00000001 => 0
01000001 => 00000101 => 1
01000010 => 00000101 => 1
01000011 => 00001101 => 3
01000100 => 00000101 => 1
01000101 => 00010101 => 5
01000110 => 00001101 => 3
01000111 => 00011101 => 6
01001000 => 00000101 => 1
01001001 => 00100101 => 8
01001010 => 00010101 => 5
01001011 => 00101011 => 5
01001100 => 00001101 => 3
01001101 => 00110101 => 11
01001110 => 00011101 => 6
01001111 => 00111101 => 10
01010000 => 00000101 => 1
01010001 => 00010101 => 5
01010010 => 00010101 => 5
01010011 => 00110101 => 11
01010100 => 00010101 => 5
01010101 => 01010101 => 14
01010110 => 00101011 => 5
01010111 => 01010111 => 5
01011000 => 00001011 => 1
01011001 => 00101011 => 5
01011010 => 00101011 => 5
01011011 => 01011011 => 8
01011100 => 00010111 => 1
01011101 => 01010111 => 5
01011110 => 00101111 => 1
01011111 => 01011111 => 1
01100000 => 00000011 => 0
01100001 => 00001011 => 1
01100010 => 00001011 => 1
01100011 => 00011011 => 3
01100100 => 00001011 => 1
01100101 => 00101011 => 5
01100110 => 00011011 => 3
01100111 => 00111011 => 6
01101000 => 00001011 => 1
01101001 => 00101011 => 5
01101010 => 00101011 => 5
01101011 => 01011011 => 8
01101100 => 00011011 => 3
01101101 => 01011011 => 8
01101110 => 00110111 => 3
01101111 => 01101111 => 3
01110000 => 00000111 => 0
01110001 => 00010111 => 1
01110010 => 00010111 => 1
01110011 => 00110111 => 3
01110100 => 00010111 => 1
01110101 => 01010111 => 5
01110110 => 00110111 => 3
01110111 => 01110111 => 6
01111000 => 00001111 => 0
01111001 => 00101111 => 1
01111010 => 00101111 => 1
01111011 => 01101111 => 3
01111100 => 00011111 => 0
01111101 => 01011111 => 1
01111110 => 00111111 => 0
01111111 => 01111111 => 0
10000000 => 00000001 => 0
10000001 => 00000011 => 0
10000010 => 00000011 => 0
10000011 => 00000111 => 0
10000100 => 00000011 => 0
10000101 => 00001011 => 1
10000110 => 00000111 => 0
10000111 => 00001111 => 0
10001000 => 00000011 => 0
10001001 => 00010011 => 3
10001010 => 00001011 => 1
10001011 => 00010111 => 1
10001100 => 00000111 => 0
10001101 => 00011011 => 3
10001110 => 00001111 => 0
10001111 => 00011111 => 0
10010000 => 00000011 => 0
10010001 => 00010011 => 3
10010010 => 00010011 => 3
10010011 => 00100111 => 3
10010100 => 00001011 => 1
10010101 => 00101011 => 5
10010110 => 00010111 => 1
10010111 => 00101111 => 1
10011000 => 00000111 => 0
10011001 => 00100111 => 3
10011010 => 00011011 => 3
10011011 => 00110111 => 3
10011100 => 00001111 => 0
10011101 => 00111011 => 6
10011110 => 00011111 => 0
10011111 => 00111111 => 0
10100000 => 00000011 => 0
10100001 => 00001011 => 1
10100010 => 00001011 => 1
10100011 => 00011011 => 3
10100100 => 00001011 => 1
10100101 => 00101011 => 5
10100110 => 00011011 => 3
10100111 => 00111011 => 6
10101000 => 00001011 => 1
10101001 => 00101011 => 5
10101010 => 00101011 => 5
10101011 => 01010111 => 5
10101100 => 00010111 => 1
10101101 => 01010111 => 5
10101110 => 00101111 => 1
10101111 => 01011111 => 1
10110000 => 00000111 => 0
10110001 => 00010111 => 1
10110010 => 00010111 => 1
10110011 => 00110111 => 3
10110100 => 00010111 => 1
10110101 => 01010111 => 5
10110110 => 00110111 => 3
10110111 => 01101111 => 3
10111000 => 00001111 => 0
10111001 => 00101111 => 1
10111010 => 00101111 => 1
10111011 => 01101111 => 3
10111100 => 00011111 => 0
10111101 => 01011111 => 1
10111110 => 00111111 => 0
10111111 => 01111111 => 0
11000000 => 00000011 => 0
11000001 => 00000111 => 0
11000010 => 00000111 => 0
11000011 => 00001111 => 0
11000100 => 00000111 => 0
11000101 => 00010111 => 1
11000110 => 00001111 => 0
11000111 => 00011111 => 0
11001000 => 00000111 => 0
11001001 => 00100111 => 3
11001010 => 00010111 => 1
11001011 => 00101111 => 1
11001100 => 00001111 => 0
11001101 => 00110111 => 3
11001110 => 00011111 => 0
11001111 => 00111111 => 0
11010000 => 00000111 => 0
11010001 => 00010111 => 1
11010010 => 00010111 => 1
11010011 => 00110111 => 3
11010100 => 00010111 => 1
11010101 => 01010111 => 5
11010110 => 00101111 => 1
11010111 => 01011111 => 1
11011000 => 00001111 => 0
11011001 => 00101111 => 1
11011010 => 00101111 => 1
11011011 => 01101111 => 3
11011100 => 00011111 => 0
11011101 => 01011111 => 1
11011110 => 00111111 => 0
11011111 => 01111111 => 0
11100000 => 00000111 => 0
11100001 => 00001111 => 0
11100010 => 00001111 => 0
11100011 => 00011111 => 0
11100100 => 00001111 => 0
11100101 => 00101111 => 1
11100110 => 00011111 => 0
11100111 => 00111111 => 0
11101000 => 00001111 => 0
11101001 => 00101111 => 1
11101010 => 00101111 => 1
11101011 => 01011111 => 1
11101100 => 00011111 => 0
11101101 => 01011111 => 1
11101110 => 00111111 => 0
11101111 => 01111111 => 0
11110000 => 00001111 => 0
11110001 => 00011111 => 0
11110010 => 00011111 => 0
11110011 => 00111111 => 0
11110100 => 00011111 => 0
11110101 => 01011111 => 1
11110110 => 00111111 => 0
11110111 => 01111111 => 0
11111000 => 00011111 => 0
11111001 => 00111111 => 0
11111010 => 00111111 => 0
11111011 => 01111111 => 0
11111100 => 00111111 => 0
11111101 => 01111111 => 0
11111110 => 01111111 => 0
11111111 => 11111111 => 0
000000000 => 000000000 => 0
000000001 => 000000001 => 0
000000010 => 000000001 => 0
000000011 => 000000011 => 0
000000100 => 000000001 => 0
000000101 => 000000101 => 1
000000110 => 000000011 => 0
000000111 => 000000111 => 0
000001000 => 000000001 => 0
000001001 => 000001001 => 3
000001010 => 000000101 => 1
000001011 => 000001011 => 1
000001100 => 000000011 => 0
000001101 => 000001101 => 3
000001110 => 000000111 => 0
000001111 => 000001111 => 0
000010000 => 000000001 => 0
000010001 => 000010001 => 6
000010010 => 000001001 => 3
000010011 => 000010011 => 3
000010100 => 000000101 => 1
000010101 => 000010101 => 5
000010110 => 000001011 => 1
000010111 => 000010111 => 1
000011000 => 000000011 => 0
000011001 => 000011001 => 8
000011010 => 000001101 => 3
000011011 => 000011011 => 3
000011100 => 000000111 => 0
000011101 => 000011101 => 6
000011110 => 000001111 => 0
000011111 => 000011111 => 0
000100000 => 000000001 => 0
000100001 => 000010001 => 6
000100010 => 000010001 => 6
000100011 => 000100011 => 6
000100100 => 000001001 => 3
000100101 => 000100101 => 8
000100110 => 000010011 => 3
000100111 => 000100111 => 3
000101000 => 000000101 => 1
000101001 => 000100101 => 8
000101010 => 000010101 => 5
000101011 => 000101011 => 5
000101100 => 000001011 => 1
000101101 => 000101011 => 5
000101110 => 000010111 => 1
000101111 => 000101111 => 1
000110000 => 000000011 => 0
000110001 => 000100011 => 6
000110010 => 000011001 => 8
000110011 => 000110011 => 8
000110100 => 000001101 => 3
000110101 => 000110101 => 11
000110110 => 000011011 => 3
000110111 => 000110111 => 3
000111000 => 000000111 => 0
000111001 => 000111001 => 15
000111010 => 000011101 => 6
000111011 => 000111011 => 6
000111100 => 000001111 => 0
000111101 => 000111101 => 10
000111110 => 000011111 => 0
000111111 => 000111111 => 0
001000000 => 000000001 => 0
001000001 => 000001001 => 3
001000010 => 000001001 => 3
001000011 => 000011001 => 8
001000100 => 000001001 => 3
001000101 => 000100101 => 8
001000110 => 000011001 => 8
001000111 => 000111001 => 15
001001000 => 000001001 => 3
001001001 => 001001001 => 15
001001010 => 000100101 => 8
001001011 => 001001011 => 8
001001100 => 000010011 => 3
001001101 => 001001101 => 11
001001110 => 000100111 => 3
001001111 => 001001111 => 3
001010000 => 000000101 => 1
001010001 => 000100101 => 8
001010010 => 000100101 => 8
001010011 => 001001101 => 11
001010100 => 000010101 => 5
001010101 => 001010101 => 14
001010110 => 000101011 => 5
001010111 => 001010111 => 5
001011000 => 000001011 => 1
001011001 => 001001011 => 8
001011010 => 000101011 => 5
001011011 => 001011011 => 8
001011100 => 000010111 => 1
001011101 => 001010111 => 5
001011110 => 000101111 => 1
001011111 => 001011111 => 1
001100000 => 000000011 => 0
001100001 => 000010011 => 3
001100010 => 000010011 => 3
001100011 => 000110011 => 8
001100100 => 000010011 => 3
001100101 => 001001101 => 11
001100110 => 000110011 => 8
001100111 => 001100111 => 8
001101000 => 000001101 => 3
001101001 => 001001101 => 11
001101010 => 000110101 => 11
001101011 => 001101011 => 11
001101100 => 000011011 => 3
001101101 => 001101011 => 11
001101110 => 000110111 => 3
001101111 => 001101111 => 3
001110000 => 000000111 => 0
001110001 => 000100111 => 3
001110010 => 000100111 => 3
001110011 => 001100111 => 8
001110100 => 000011101 => 6
001110101 => 001110101 => 19
001110110 => 000111011 => 6
001110111 => 001110111 => 6
001111000 => 000001111 => 0
001111001 => 001001111 => 3
001111010 => 000111101 => 10
001111011 => 001111011 => 10
001111100 => 000011111 => 0
001111101 => 001111101 => 15
001111110 => 000111111 => 0
001111111 => 001111111 => 0
010000000 => 000000001 => 0
010000001 => 000000101 => 1
010000010 => 000000101 => 1
010000011 => 000001101 => 3
010000100 => 000000101 => 1
010000101 => 000010101 => 5
010000110 => 000001101 => 3
010000111 => 000011101 => 6
010001000 => 000000101 => 1
010001001 => 000100101 => 8
010001010 => 000010101 => 5
010001011 => 000101011 => 5
010001100 => 000001101 => 3
010001101 => 000110101 => 11
010001110 => 000011101 => 6
010001111 => 000111101 => 10
010010000 => 000000101 => 1
010010001 => 000100101 => 8
010010010 => 000100101 => 8
010010011 => 001001101 => 11
010010100 => 000010101 => 5
010010101 => 001010101 => 14
010010110 => 000101011 => 5
010010111 => 001010111 => 5
010011000 => 000001101 => 3
010011001 => 001001101 => 11
010011010 => 000110101 => 11
010011011 => 001101011 => 11
010011100 => 000011101 => 6
010011101 => 001110101 => 19
010011110 => 000111101 => 10
010011111 => 001111101 => 15
010100000 => 000000101 => 1
010100001 => 000010101 => 5
010100010 => 000010101 => 5
010100011 => 000110101 => 11
010100100 => 000010101 => 5
010100101 => 001010101 => 14
010100110 => 000110101 => 11
010100111 => 001110101 => 19
010101000 => 000010101 => 5
010101001 => 001010101 => 14
010101010 => 001010101 => 14
010101011 => 010101011 => 14
010101100 => 000101011 => 5
010101101 => 010101011 => 14
010101110 => 001010111 => 5
010101111 => 010101111 => 5
010110000 => 000001011 => 1
010110001 => 000101011 => 5
010110010 => 000101011 => 5
010110011 => 001101011 => 11
010110100 => 000101011 => 5
010110101 => 010101011 => 14
010110110 => 001011011 => 8
010110111 => 010110111 => 8
010111000 => 000010111 => 1
010111001 => 001010111 => 5
010111010 => 001010111 => 5
010111011 => 010110111 => 8
010111100 => 000101111 => 1
010111101 => 010101111 => 5
010111110 => 001011111 => 1
010111111 => 010111111 => 1
011000000 => 000000011 => 0
011000001 => 000001011 => 1
011000010 => 000001011 => 1
011000011 => 000011011 => 3
011000100 => 000001011 => 1
011000101 => 000101011 => 5
011000110 => 000011011 => 3
011000111 => 000111011 => 6
011001000 => 000001011 => 1
011001001 => 001001011 => 8
011001010 => 000101011 => 5
011001011 => 001011011 => 8
011001100 => 000011011 => 3
011001101 => 001101011 => 11
011001110 => 000111011 => 6
011001111 => 001111011 => 10
011010000 => 000001011 => 1
011010001 => 000101011 => 5
011010010 => 000101011 => 5
011010011 => 001101011 => 11
011010100 => 000101011 => 5
011010101 => 010101011 => 14
011010110 => 001011011 => 8
011010111 => 010110111 => 8
011011000 => 000011011 => 3
011011001 => 001011011 => 8
011011010 => 001011011 => 8
011011011 => 011011011 => 15
011011100 => 000110111 => 3
011011101 => 010110111 => 8
011011110 => 001101111 => 3
011011111 => 011011111 => 3
011100000 => 000000111 => 0
011100001 => 000010111 => 1
011100010 => 000010111 => 1
011100011 => 000110111 => 3
011100100 => 000010111 => 1
011100101 => 001010111 => 5
011100110 => 000110111 => 3
011100111 => 001110111 => 6
011101000 => 000010111 => 1
011101001 => 001010111 => 5
011101010 => 001010111 => 5
011101011 => 010110111 => 8
011101100 => 000110111 => 3
011101101 => 010110111 => 8
011101110 => 001110111 => 6
011101111 => 011101111 => 6
011110000 => 000001111 => 0
011110001 => 000101111 => 1
011110010 => 000101111 => 1
011110011 => 001101111 => 3
011110100 => 000101111 => 1
011110101 => 010101111 => 5
011110110 => 001101111 => 3
011110111 => 011101111 => 6
011111000 => 000011111 => 0
011111001 => 001011111 => 1
011111010 => 001011111 => 1
011111011 => 011011111 => 3
011111100 => 000111111 => 0
011111101 => 010111111 => 1
011111110 => 001111111 => 0
011111111 => 011111111 => 0
100000000 => 000000001 => 0
100000001 => 000000011 => 0
100000010 => 000000011 => 0
100000011 => 000000111 => 0
100000100 => 000000011 => 0
100000101 => 000001011 => 1
100000110 => 000000111 => 0
100000111 => 000001111 => 0
100001000 => 000000011 => 0
100001001 => 000010011 => 3
100001010 => 000001011 => 1
100001011 => 000010111 => 1
100001100 => 000000111 => 0
100001101 => 000011011 => 3
100001110 => 000001111 => 0
100001111 => 000011111 => 0
100010000 => 000000011 => 0
100010001 => 000100011 => 6
100010010 => 000010011 => 3
100010011 => 000100111 => 3
100010100 => 000001011 => 1
100010101 => 000101011 => 5
100010110 => 000010111 => 1
100010111 => 000101111 => 1
100011000 => 000000111 => 0
100011001 => 000110011 => 8
100011010 => 000011011 => 3
100011011 => 000110111 => 3
100011100 => 000001111 => 0
100011101 => 000111011 => 6
100011110 => 000011111 => 0
100011111 => 000111111 => 0
100100000 => 000000011 => 0
100100001 => 000010011 => 3
100100010 => 000010011 => 3
100100011 => 000110011 => 8
100100100 => 000010011 => 3
100100101 => 001001011 => 8
100100110 => 000100111 => 3
100100111 => 001001111 => 3
100101000 => 000001011 => 1
100101001 => 001001011 => 8
100101010 => 000101011 => 5
100101011 => 001010111 => 5
100101100 => 000010111 => 1
100101101 => 001010111 => 5
100101110 => 000101111 => 1
100101111 => 001011111 => 1
100110000 => 000000111 => 0
100110001 => 000100111 => 3
100110010 => 000100111 => 3
100110011 => 001100111 => 8
100110100 => 000011011 => 3
100110101 => 001101011 => 11
100110110 => 000110111 => 3
100110111 => 001101111 => 3
100111000 => 000001111 => 0
100111001 => 001001111 => 3
100111010 => 000111011 => 6
100111011 => 001110111 => 6
100111100 => 000011111 => 0
100111101 => 001111011 => 10
100111110 => 000111111 => 0
100111111 => 001111111 => 0
101000000 => 000000011 => 0
101000001 => 000001011 => 1
101000010 => 000001011 => 1
101000011 => 000011011 => 3
101000100 => 000001011 => 1
101000101 => 000101011 => 5
101000110 => 000011011 => 3
101000111 => 000111011 => 6
101001000 => 000001011 => 1
101001001 => 001001011 => 8
101001010 => 000101011 => 5
101001011 => 001010111 => 5
101001100 => 000011011 => 3
101001101 => 001101011 => 11
101001110 => 000111011 => 6
101001111 => 001111011 => 10
101010000 => 000001011 => 1
101010001 => 000101011 => 5
101010010 => 000101011 => 5
101010011 => 001101011 => 11
101010100 => 000101011 => 5
101010101 => 010101011 => 14
101010110 => 001010111 => 5
101010111 => 010101111 => 5
101011000 => 000010111 => 1
101011001 => 001010111 => 5
101011010 => 001010111 => 5
101011011 => 010110111 => 8
101011100 => 000101111 => 1
101011101 => 010101111 => 5
101011110 => 001011111 => 1
101011111 => 010111111 => 1
101100000 => 000000111 => 0
101100001 => 000010111 => 1
101100010 => 000010111 => 1
101100011 => 000110111 => 3
101100100 => 000010111 => 1
101100101 => 001010111 => 5
101100110 => 000110111 => 3
101100111 => 001110111 => 6
101101000 => 000010111 => 1
101101001 => 001010111 => 5
101101010 => 001010111 => 5
101101011 => 010110111 => 8
101101100 => 000110111 => 3
101101101 => 010110111 => 8
101101110 => 001101111 => 3
101101111 => 011011111 => 3
101110000 => 000001111 => 0
101110001 => 000101111 => 1
101110010 => 000101111 => 1
101110011 => 001101111 => 3
101110100 => 000101111 => 1
101110101 => 010101111 => 5
101110110 => 001101111 => 3
101110111 => 011101111 => 6
101111000 => 000011111 => 0
101111001 => 001011111 => 1
101111010 => 001011111 => 1
101111011 => 011011111 => 3
101111100 => 000111111 => 0
101111101 => 010111111 => 1
101111110 => 001111111 => 0
101111111 => 011111111 => 0
110000000 => 000000011 => 0
110000001 => 000000111 => 0
110000010 => 000000111 => 0
110000011 => 000001111 => 0
110000100 => 000000111 => 0
110000101 => 000010111 => 1
110000110 => 000001111 => 0
110000111 => 000011111 => 0
110001000 => 000000111 => 0
110001001 => 000100111 => 3
110001010 => 000010111 => 1
110001011 => 000101111 => 1
110001100 => 000001111 => 0
110001101 => 000110111 => 3
110001110 => 000011111 => 0
110001111 => 000111111 => 0
110010000 => 000000111 => 0
110010001 => 000100111 => 3
110010010 => 000100111 => 3
110010011 => 001001111 => 3
110010100 => 000010111 => 1
110010101 => 001010111 => 5
110010110 => 000101111 => 1
110010111 => 001011111 => 1
110011000 => 000001111 => 0
110011001 => 001001111 => 3
110011010 => 000110111 => 3
110011011 => 001101111 => 3
110011100 => 000011111 => 0
110011101 => 001110111 => 6
110011110 => 000111111 => 0
110011111 => 001111111 => 0
110100000 => 000000111 => 0
110100001 => 000010111 => 1
110100010 => 000010111 => 1
110100011 => 000110111 => 3
110100100 => 000010111 => 1
110100101 => 001010111 => 5
110100110 => 000110111 => 3
110100111 => 001110111 => 6
110101000 => 000010111 => 1
110101001 => 001010111 => 5
110101010 => 001010111 => 5
110101011 => 010101111 => 5
110101100 => 000101111 => 1
110101101 => 010101111 => 5
110101110 => 001011111 => 1
110101111 => 010111111 => 1
110110000 => 000001111 => 0
110110001 => 000101111 => 1
110110010 => 000101111 => 1
110110011 => 001101111 => 3
110110100 => 000101111 => 1
110110101 => 010101111 => 5
110110110 => 001101111 => 3
110110111 => 011011111 => 3
110111000 => 000011111 => 0
110111001 => 001011111 => 1
110111010 => 001011111 => 1
110111011 => 011011111 => 3
110111100 => 000111111 => 0
110111101 => 010111111 => 1
110111110 => 001111111 => 0
110111111 => 011111111 => 0
111000000 => 000000111 => 0
111000001 => 000001111 => 0
111000010 => 000001111 => 0
111000011 => 000011111 => 0
111000100 => 000001111 => 0
111000101 => 000101111 => 1
111000110 => 000011111 => 0
111000111 => 000111111 => 0
111001000 => 000001111 => 0
111001001 => 001001111 => 3
111001010 => 000101111 => 1
111001011 => 001011111 => 1
111001100 => 000011111 => 0
111001101 => 001101111 => 3
111001110 => 000111111 => 0
111001111 => 001111111 => 0
111010000 => 000001111 => 0
111010001 => 000101111 => 1
111010010 => 000101111 => 1
111010011 => 001101111 => 3
111010100 => 000101111 => 1
111010101 => 010101111 => 5
111010110 => 001011111 => 1
111010111 => 010111111 => 1
111011000 => 000011111 => 0
111011001 => 001011111 => 1
111011010 => 001011111 => 1
111011011 => 011011111 => 3
111011100 => 000111111 => 0
111011101 => 010111111 => 1
111011110 => 001111111 => 0
111011111 => 011111111 => 0
111100000 => 000001111 => 0
111100001 => 000011111 => 0
111100010 => 000011111 => 0
111100011 => 000111111 => 0
111100100 => 000011111 => 0
111100101 => 001011111 => 1
111100110 => 000111111 => 0
111100111 => 001111111 => 0
111101000 => 000011111 => 0
111101001 => 001011111 => 1
111101010 => 001011111 => 1
111101011 => 010111111 => 1
111101100 => 000111111 => 0
111101101 => 010111111 => 1
111101110 => 001111111 => 0
111101111 => 011111111 => 0
111110000 => 000011111 => 0
111110001 => 000111111 => 0
111110010 => 000111111 => 0
111110011 => 001111111 => 0
111110100 => 000111111 => 0
111110101 => 010111111 => 1
111110110 => 001111111 => 0
111110111 => 011111111 => 0
111111000 => 000111111 => 0
111111001 => 001111111 => 0
111111010 => 001111111 => 0
111111011 => 011111111 => 0
111111100 => 001111111 => 0
111111101 => 011111111 => 0
111111110 => 011111111 => 0
111111111 => 111111111 => 0
1010101010 => 0010101011 => 14
1010101100 => 0001010111 => 5
1010110010 => 0001010111 => 5
1010110100 => 0001010111 => 5
1010111000 => 0000101111 => 1
1011001010 => 0001010111 => 5
1011001100 => 0000110111 => 3
1011010010 => 0001010111 => 5
1011010100 => 0001010111 => 5
1011011000 => 0000110111 => 3
1011100010 => 0000101111 => 1
1011100100 => 0000101111 => 1
1011101000 => 0000101111 => 1
1011110000 => 0000011111 => 0
1100101010 => 0001010111 => 5
1100101100 => 0000101111 => 1
1100110010 => 0001001111 => 3
1100110100 => 0000110111 => 3
1100111000 => 0000011111 => 0
1101001010 => 0001010111 => 5
1101001100 => 0000110111 => 3
1101010010 => 0001010111 => 5
1101010100 => 0001010111 => 5
1101011000 => 0000101111 => 1
1101100010 => 0000101111 => 1
1101100100 => 0000101111 => 1
1101101000 => 0000101111 => 1
1101110000 => 0000011111 => 0
1110001010 => 0000101111 => 1
1110001100 => 0000011111 => 0
1110010010 => 0001001111 => 3
1110010100 => 0000101111 => 1
1110011000 => 0000011111 => 0
1110100010 => 0000101111 => 1
1110100100 => 0000101111 => 1
1110101000 => 0000101111 => 1
1110110000 => 0000011111 => 0
1111000010 => 0000011111 => 0
1111000100 => 0000011111 => 0
1111001000 => 0000011111 => 0
1111010000 => 0000011111 => 0
1111100000 => 0000011111 => 0
1111100001 => 0000111111 => 0
1111000001 => 0000011111 => 0
1110110001 => 0001011111 => 1
1110100101 => 0010101111 => 5
1110100001 => 0000101111 => 1
1110011110 => 0001111111 => 0
1110011001 => 0010011111 => 3
1110010001 => 0001001111 => 3
1110001101 => 0001101111 => 3
1110001001 => 0001001111 => 3
1110000111 => 0000111111 => 0
1110000101 => 0000101111 => 1
1110000001 => 0000001111 => 0
1101100001 => 0000101111 => 1
1101010001 => 0001010111 => 5
1101001110 => 0001110111 => 6
1101001011 => 0010101111 => 5
1101001001 => 0010010111 => 8
1101000101 => 0001010111 => 5
1101000011 => 0000110111 => 3
1100110001 => 0001001111 => 3
1100101011 => 0010101111 => 5
1100101001 => 0010010111 => 8
1100100110 => 0001001111 => 3
1100100101 => 0010010111 => 8
1100011001 => 0001100111 => 8
1100010101 => 0001010111 => 5
1100010010 => 0000100111 => 3
1100001011 => 0000101111 => 1
1100001000 => 0000000111 => 0
1011110001 => 0001011111 => 1
1011100101 => 0010101111 => 5
1011100001 => 0000101111 => 1
1011010001 => 0001010111 => 5
1011001001 => 0010010111 => 8
1011000111 => 0001110111 => 6
1011000101 => 0001010111 => 5
1011000001 => 0000010111 => 1
1010110001 => 0001010111 => 5
1010101001 => 0010101011 => 14
1010100110 => 0001101011 => 11
1010100101 => 0010101011 => 14
1010011010 => 0001101011 => 11
1010011001 => 0010011011 => 11
1010010111 => 0010101111 => 5
1010010110 => 0001010111 => 5
1010010101 => 0010101011 => 14
1010010001 => 0001001011 => 8
1010001110 => 0000111011 => 6
1010000101 => 0000101011 => 5
1001111110 => 0001111111 => 0
1001111001 => 0010011111 => 3
1001111000 => 0000011111 => 0
1001110100 => 0000111011 => 6
1001110001 => 0001001111 => 3
1001101100 => 0000110111 => 3
1001101010 => 0001101011 => 11
1001101001 => 0010011011 => 11
1001100110 => 0001100111 => 8
1001100101 => 0010011011 => 11
1001100001 => 0000100111 => 3
1001011110 => 0001011111 => 1
1001011010 => 0001010111 => 5
1001011001 => 0010010111 => 8
1001010110 => 0001010111 => 5
1001010101 => 0010101011 => 14
1001001110 => 0001001111 => 3
1000111110 => 0000111111 => 0
1000111101 => 0001111011 => 10
1000111100 => 0000011111 => 0
1000111010 => 0000111011 => 6
1000110111 => 0001101111 => 3
1000110110 => 0000110111 => 3
1000110001 => 0001000111 => 6
1000101110 => 0000101111 => 1
1000101011 => 0001010111 => 5
1000100101 => 0001001011 => 8
1000011111 => 0000111111 => 0
1000011110 => 0000011111 => 0
1000011001 => 0000110011 => 8
1000010110 => 0000010111 => 1
1000001110 => 0000001111 => 0
1000001101 => 0000011011 => 3
1000001010 => 0000001011 => 1
1000000111 => 0000001111 => 0
1000000110 => 0000000111 => 0
1000000100 => 0000000011 => 0
1000000010 => 0000000011 => 0
1000000001 => 0000000011 => 0
1000000000 => 0000000001 => 0
0111110001 => 0001011111 => 1
0111100001 => 0000101111 => 1
0111000001 => 0000010111 => 1
0110000001 => 0000001011 => 1
0100000001 => 0000000101 => 1
0000000001 => 0000000001 => 0
0111101001 => 0010101111 => 5
0111010001 => 0001010111 => 5
0110100001 => 0000101011 => 5
0101000001 => 0000010101 => 5
0010000001 => 0000001001 => 3
0101001011 => 0010101011 => 14
0101000111 => 0001110101 => 19
0100101101 => 0010101011 => 14
0100101011 => 0010101011 => 14
0100100111 => 0010011101 => 15
0100011101 => 0001110101 => 19
0100011011 => 0001101011 => 11
0100010111 => 0001010111 => 5
0100001111 => 0000111101 => 10
0011001011 => 0010011011 => 11
0011000111 => 0001110011 => 15
0010110101 => 0010101011 => 14
0010110011 => 0010011011 => 11
0010101101 => 0010101011 => 14
0010101011 => 0010101011 => 14
0010100111 => 0010011101 => 15
0010011101 => 0010011101 => 15
0010011011 => 0010011011 => 11
0010010111 => 0010010111 => 8
0010001111 => 0001111001 => 24
0001110101 => 0001110101 => 19
0001110011 => 0001110011 => 15
0001101101 => 0001101011 => 11
0001101011 => 0001101011 => 11
0001100111 => 0001100111 => 8
0001011101 => 0001010111 => 5
0001011011 => 0001011011 => 8
0001010111 => 0001010111 => 5
0001001111 => 0001001111 => 3
0000111101 => 0000111101 => 10
0000111011 => 0000111011 => 6
0000110111 => 0000110111 => 3
0000101111 => 0000101111 => 1
0000011111 => 0000011111 => 0
0000000000 => 0000000000 => 0
0000000110 => 0000000011 => 0
0000011000 => 0000000011 => 0
0000011110 => 0000001111 => 0
0000010010 => 0000001001 => 3
0001100000 => 0000000011 => 0
0001100110 => 0000110011 => 8
0001111000 => 0000001111 => 0
0001111110 => 0000111111 => 0
0001110010 => 0000111001 => 15
0001001000 => 0000001001 => 3
0001001110 => 0000100111 => 3
0001000010 => 0000010001 => 6
0001011010 => 0000101011 => 5
0110000000 => 0000000011 => 0
0110000110 => 0000011011 => 3
0110011000 => 0000011011 => 3
0110011110 => 0001111011 => 10
0110010010 => 0001001011 => 8
0111100000 => 0000001111 => 0
0111100110 => 0001101111 => 3
0111111000 => 0000111111 => 0
0111110010 => 0001011111 => 1
0111001000 => 0000010111 => 1
0111001110 => 0001110111 => 6
0111000010 => 0000010111 => 1
0100100000 => 0000000101 => 1
0100100110 => 0001001101 => 11
0100111000 => 0000011101 => 6
0100111110 => 0001111101 => 15
0100110010 => 0001001101 => 11
0100001000 => 0000000101 => 1
0100001110 => 0000011101 => 6
0100000010 => 0000000101 => 1
0100011010 => 0000110101 => 11
0101101000 => 0000101011 => 5
0101100010 => 0000101011 => 5
0101111010 => 0010101111 => 5
0101001010 => 0001010101 => 14
0010101010 => 0001010101 => 14
0010101000 => 0000010101 => 5
0010101100 => 0000101011 => 5
0010100100 => 0000100101 => 8
0010110100 => 0000101011 => 5
0010010100 => 0000100101 => 8
0011010100 => 0000110101 => 11
0001010100 => 0000010101 => 5
0101010100 => 0001010101 => 14
0010101110 => 0001010111 => 5
0010100000 => 0000000101 => 1
0010111100 => 0000101111 => 1
0010000100 => 0000001001 => 3
0011110100 => 0000111101 => 10
0000010100 => 0000000101 => 1
0111010100 => 0001010111 => 5
0000000010 => 0000000001 => 0
0000001110 => 0000000111 => 0
0000111110 => 0000011111 => 0
0011111110 => 0001111111 => 0
0000000100 => 0000000001 => 0
0000001010 => 0000000101 => 1
0000010110 => 0000001011 => 1
0000101110 => 0000010111 => 1
0001011110 => 0000101111 => 1
0010111110 => 0001011111 => 1
0010110010 => 0001001011 => 8
0010111000 => 0000010111 => 1
0011001010 => 0001001101 => 11
0011001100 => 0000110011 => 8
0011010010 => 0001001101 => 11
0011011000 => 0000011011 => 3
0011100010 => 0000100111 => 3
0011100100 => 0000100111 => 3
0011101000 => 0000011101 => 6
0011110000 => 0000001111 => 0
0100101010 => 0001010101 => 14
0100101100 => 0000101011 => 5
0100110100 => 0000110101 => 11
0101001100 => 0000110101 => 11
0101010010 => 0001010101 => 14
0101011000 => 0000101011 => 5
0101100100 => 0000101011 => 5
0101110000 => 0000010111 => 1
0110001010 => 0000101011 => 5
0110001100 => 0000011011 => 3
0110010100 => 0000101011 => 5
0110100010 => 0000101011 => 5
0110100100 => 0000101011 => 5
0110101000 => 0000101011 => 5
0110110000 => 0000011011 => 3
0111000100 => 0000010111 => 1
0111010000 => 0000010111 => 1
0100000000 => 0000000001 => 0
0100000011 => 0000001101 => 3
0100000111 => 0000011101 => 6
0100011111 => 0001111101 => 15
0100000101 => 0000010101 => 5
0100001011 => 0000101011 => 5
0100101111 => 0010101111 => 5
0101010110 => 0010101011 => 14
0101011001 => 0010101011 => 14
0101011010 => 0010101011 => 14
0101011100 => 0001010111 => 5
0101100101 => 0010101011 => 14
0101100110 => 0001101011 => 11
0101101001 => 0010101011 => 14
0101101010 => 0010101011 => 14
0101101100 => 0001011011 => 8
0101110001 => 0001010111 => 5
0101110010 => 0001010111 => 5
0101110100 => 0001010111 => 5
0101111000 => 0000101111 => 1
0110010101 => 0010101011 => 14
0110010110 => 0001011011 => 8
0110011001 => 0010011011 => 11
0110011010 => 0001101011 => 11
0110011100 => 0000111011 => 6
0110100101 => 0010101011 => 14
0110100110 => 0001101011 => 11
0110101001 => 0010101011 => 14
0110101010 => 0010101011 => 14
0110101100 => 0001011011 => 8
0110110001 => 0001011011 => 8
0110110010 => 0001011011 => 8
0110110100 => 0001011011 => 8
0110111000 => 0000110111 => 3
0111000101 => 0001010111 => 5
0111000110 => 0000110111 => 3
0111001001 => 0010010111 => 8
0111001010 => 0001010111 => 5
0111001100 => 0000110111 => 3
0111010010 => 0001010111 => 5
0111011000 => 0000110111 => 3
0111100010 => 0000101111 => 1
0111100100 => 0000101111 => 1
0111101000 => 0000101111 => 1
0111110000 => 0000011111 => 0
0100000100 => 0000000101 => 1
0011100110 => 0001100111 => 8
0011101010 => 0001110101 => 19
0011101100 => 0000111011 => 6
0001101110 => 0000110111 => 3
0010110110 => 0001011011 => 8
0011110010 => 0001001111 => 3
0001110110 => 0000111011 => 6
0100111010 => 0001110101 => 19
0010111010 => 0001010111 => 5
0011111000 => 0000011111 => 0
0001111010 => 0000111101 => 10
0100111100 => 0000111101 => 10
0001111100 => 0000011111 => 0
0000000101 => 0000000101 => 1
0000001101 => 0000001101 => 3
0000011101 => 0000011101 => 6
0001111101 => 0001111101 => 15
0000001001 => 0000001001 => 3
0000010101 => 0000010101 => 5
0000101101 => 0000101011 => 5
0010111101 => 0010101111 => 5
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The inversion sum of a binary word.
A pair $a < b$ is an inversion of a binary word $w = w_1 \cdots w_n$ if $w_a = 1 > 0 = w_b$. The inversion sum is given by $\sum(b-a)$ over all inversions of $\pi$.
Map
runsort
Description
The word obtained by sorting the weakly increasing runs lexicographically.