Identifier
Identifier
Values
0000001110 => 9
0000010110 => 15
0000011000 => 7
0000100000 => 5
0000101000 => 12
0000101001 => 12
0000101100 => 13
0000101110 => 14
0000110000 => 6
0000110010 => 15
0000111100 => 8
0000111111 => 0
0001010010 => 19
0001010011 => 10
0001011111 => 4
0001100000 => 5
0001100100 => 13
0001100110 => 14
0001101000 => 12
0001101010 => 21
0001110010 => 15
0001111111 => 0
0010001011 => 10
0010001101 => 11
0010011010 => 19
0010100000 => 8
0010100001 => 8
0010100010 => 17
0010100101 => 16
0010100110 => 17
0010101100 => 16
0 => 0
1 => 0
00 => 0
01 => 0
10 => 1
11 => 0
000 => 0
001 => 0
010 => 2
011 => 0
100 => 1
101 => 1
110 => 2
111 => 0
0000 => 0
0001 => 0
0010 => 3
0011 => 0
0100 => 2
0101 => 2
0110 => 3
0111 => 0
1000 => 1
1001 => 1
1010 => 4
1011 => 1
1100 => 2
1101 => 2
1110 => 3
1111 => 0
00000 => 0
00001 => 0
00010 => 4
00011 => 0
00100 => 3
00101 => 3
00110 => 4
00111 => 0
01000 => 2
01001 => 2
01010 => 6
01011 => 2
01100 => 3
01101 => 3
01110 => 4
01111 => 0
10000 => 1
10001 => 1
10010 => 5
10011 => 1
10100 => 4
10101 => 4
10110 => 5
10111 => 1
11000 => 2
11001 => 2
11010 => 6
11011 => 2
11100 => 3
11101 => 3
11110 => 4
11111 => 0
000000 => 0
000001 => 0
000010 => 5
000011 => 0
000100 => 4
000101 => 4
000110 => 5
000111 => 0
001000 => 3
001001 => 3
001010 => 8
001011 => 3
001100 => 4
001101 => 4
001110 => 5
001111 => 0
010000 => 2
010001 => 2
010010 => 7
010011 => 2
010100 => 6
010101 => 6
010110 => 7
010111 => 2
011000 => 3
011001 => 3
011010 => 8
011011 => 3
011100 => 4
011101 => 4
011110 => 5
011111 => 0
100000 => 1
100001 => 1
100010 => 6
100011 => 1
100100 => 5
100101 => 5
100110 => 6
100111 => 1
101000 => 4
101001 => 4
101010 => 9
101011 => 4
101100 => 5
101101 => 5
101110 => 6
101111 => 1
110000 => 2
110001 => 2
110010 => 7
110011 => 2
110100 => 6
110101 => 6
110110 => 7
110111 => 2
111000 => 3
111001 => 3
111010 => 8
111011 => 3
111100 => 4
111101 => 4
111110 => 5
111111 => 0
0000000 => 0
0000001 => 0
0000010 => 6
0000011 => 0
0000100 => 5
0000101 => 5
0000110 => 6
0000111 => 0
0001000 => 4
0001001 => 4
0001010 => 10
0001011 => 4
0001100 => 5
0001101 => 5
0001110 => 6
0001111 => 0
0010000 => 3
0010001 => 3
0010010 => 9
0010011 => 3
0010100 => 8
0010101 => 8
0010110 => 9
0010111 => 3
0011000 => 4
0011001 => 4
0011010 => 10
0011011 => 4
0011100 => 5
0011101 => 5
0011110 => 6
0011111 => 0
0100000 => 2
0100001 => 2
0100010 => 8
0100011 => 2
0100100 => 7
0100101 => 7
0100110 => 8
0100111 => 2
0101000 => 6
0101001 => 6
0101010 => 12
0101011 => 6
0101100 => 7
0101101 => 7
0101110 => 8
0101111 => 2
0110000 => 3
0110001 => 3
0110010 => 9
0110011 => 3
0110100 => 8
0110101 => 8
0110110 => 9
0110111 => 3
0111000 => 4
0111001 => 4
0111010 => 10
0111011 => 4
0111100 => 5
0111101 => 5
0111110 => 6
0111111 => 0
1000000 => 1
1000001 => 1
1000010 => 7
1000011 => 1
1000100 => 6
1000101 => 6
1000110 => 7
1000111 => 1
1001000 => 5
1001001 => 5
1001010 => 11
1001011 => 5
1001100 => 6
1001101 => 6
1001110 => 7
1001111 => 1
1010000 => 4
1010001 => 4
1010010 => 10
1010011 => 4
1010100 => 9
1010101 => 9
1010110 => 10
1010111 => 4
1011000 => 5
1011001 => 5
1011010 => 11
1011011 => 5
1011100 => 6
1011101 => 6
1011110 => 7
1011111 => 1
1100000 => 2
1100001 => 2
1100010 => 8
1100011 => 2
1100100 => 7
1100101 => 7
1100110 => 8
1100111 => 2
1101000 => 6
1101001 => 6
1101010 => 12
1101011 => 6
1101100 => 7
1101101 => 7
1101110 => 8
1101111 => 2
1110000 => 3
1110001 => 3
1110010 => 9
1110011 => 3
1110100 => 8
1110101 => 8
1110110 => 9
1110111 => 3
1111000 => 4
1111001 => 4
1111010 => 10
1111011 => 4
1111100 => 5
1111101 => 5
1111110 => 6
1111111 => 0
00000000 => 0
00000001 => 0
00000010 => 7
00000011 => 0
00000100 => 6
00000101 => 6
00000110 => 7
00000111 => 0
00001000 => 5
00001001 => 5
00001010 => 12
00001011 => 5
00001100 => 6
00001101 => 6
00001110 => 7
00001111 => 0
00010000 => 4
00010001 => 4
00010010 => 11
00010011 => 4
00010100 => 10
00010101 => 10
00010110 => 11
00010111 => 4
00011000 => 5
00011001 => 5
00011010 => 12
00011011 => 5
00011100 => 6
00011101 => 6
00011110 => 7
00011111 => 0
00100000 => 3
00100001 => 3
00100010 => 10
00100011 => 3
00100100 => 9
00100101 => 9
00100110 => 10
00100111 => 3
00101000 => 8
00101001 => 8
00101010 => 15
00101011 => 8
00101100 => 9
00101101 => 9
00101110 => 10
00101111 => 3
00110000 => 4
00110001 => 4
00110010 => 11
00110011 => 4
00110100 => 10
00110101 => 10
00110110 => 11
00110111 => 4
00111000 => 5
00111001 => 5
00111010 => 12
00111011 => 5
00111100 => 6
00111101 => 6
00111110 => 7
00111111 => 0
01000000 => 2
01000001 => 2
01000010 => 9
01000011 => 2
01000100 => 8
01000101 => 8
01000110 => 9
01000111 => 2
01001000 => 7
01001001 => 7
01001010 => 14
01001011 => 7
01001100 => 8
01001101 => 8
01001110 => 9
01001111 => 2
01010000 => 6
01010001 => 6
01010010 => 13
01010011 => 6
01010100 => 12
01010101 => 12
01010110 => 13
01010111 => 6
01011000 => 7
01011001 => 7
01011010 => 14
01011011 => 7
01011100 => 8
01011101 => 8
01011110 => 9
01011111 => 2
01100000 => 3
01100001 => 3
01100010 => 10
01100011 => 3
01100100 => 9
01100101 => 9
01100110 => 10
01100111 => 3
01101000 => 8
01101001 => 8
01101010 => 15
01101011 => 8
01101100 => 9
01101101 => 9
01101110 => 10
01101111 => 3
01110000 => 4
01110001 => 4
01110010 => 11
01110011 => 4
01110100 => 10
01110101 => 10
01110110 => 11
01110111 => 4
01111000 => 5
01111001 => 5
01111010 => 12
01111011 => 5
01111100 => 6
01111101 => 6
01111110 => 7
01111111 => 0
10000000 => 1
10000001 => 1
10000010 => 8
10000011 => 1
10000100 => 7
10000101 => 7
10000110 => 8
10000111 => 1
10001000 => 6
10001001 => 6
10001010 => 13
10001011 => 6
10001100 => 7
10001101 => 7
10001110 => 8
10001111 => 1
10010000 => 5
10010001 => 5
10010010 => 12
10010011 => 5
10010100 => 11
10010101 => 11
10010110 => 12
10010111 => 5
10011000 => 6
10011001 => 6
10011010 => 13
10011011 => 6
10011100 => 7
10011101 => 7
10011110 => 8
10011111 => 1
10100000 => 4
10100001 => 4
10100010 => 11
10100011 => 4
10100100 => 10
10100101 => 10
10100110 => 11
10100111 => 4
10101000 => 9
10101001 => 9
10101010 => 16
10101011 => 9
10101100 => 10
10101101 => 10
10101110 => 11
10101111 => 4
10110000 => 5
10110001 => 5
10110010 => 12
10110011 => 5
10110100 => 11
10110101 => 11
10110110 => 12
10110111 => 5
10111000 => 6
10111001 => 6
10111010 => 13
10111011 => 6
10111100 => 7
10111101 => 7
10111110 => 8
10111111 => 1
11000000 => 2
11000001 => 2
11000010 => 9
11000011 => 2
11000100 => 8
11000101 => 8
11000110 => 9
11000111 => 2
11001000 => 7
11001001 => 7
11001010 => 14
11001011 => 7
11001100 => 8
11001101 => 8
11001110 => 9
11001111 => 2
11010000 => 6
11010001 => 6
11010010 => 13
11010011 => 6
11010100 => 12
11010101 => 12
11010110 => 13
11010111 => 6
11011000 => 7
11011001 => 7
11011010 => 14
11011011 => 7
11011100 => 8
11011101 => 8
11011110 => 9
11011111 => 2
11100000 => 3
11100001 => 3
11100010 => 10
11100011 => 3
11100100 => 9
11100101 => 9
11100110 => 10
11100111 => 3
11101000 => 8
11101001 => 8
11101010 => 15
11101011 => 8
11101100 => 9
11101101 => 9
11101110 => 10
11101111 => 3
11110000 => 4
11110001 => 4
11110010 => 11
11110011 => 4
11110100 => 10
11110101 => 10
11110110 => 11
11110111 => 4
11111000 => 5
11111001 => 5
11111010 => 12
11111011 => 5
11111100 => 6
11111101 => 6
11111110 => 7
11111111 => 0
000000000 => 0
000000001 => 0
000000010 => 8
000000011 => 0
000000100 => 7
000000101 => 7
000000110 => 8
000000111 => 0
000001000 => 6
000001001 => 6
000001010 => 14
000001011 => 6
000001100 => 7
000001101 => 7
000001110 => 8
000001111 => 0
000010000 => 5
000010001 => 5
000010010 => 13
000010011 => 5
000010100 => 12
000010101 => 12
000010110 => 13
000010111 => 5
000011000 => 6
000011001 => 6
000011010 => 14
000011011 => 6
000011100 => 7
000011101 => 7
000011110 => 8
000011111 => 0
000100000 => 4
000100001 => 4
000100010 => 12
000100011 => 4
000100100 => 11
000100101 => 11
000100110 => 12
000100111 => 4
000101000 => 10
000101001 => 10
000101010 => 18
000101011 => 10
000101100 => 11
000101101 => 11
000101110 => 12
000101111 => 4
000110000 => 5
000110001 => 5
000110010 => 13
000110011 => 5
000110100 => 12
000110101 => 12
000110110 => 13
000110111 => 5
000111000 => 6
000111001 => 6
000111010 => 14
000111011 => 6
000111100 => 7
000111101 => 7
000111110 => 8
000111111 => 0
001000000 => 3
001000001 => 3
001000010 => 11
001000011 => 3
001000100 => 10
001000101 => 10
001000110 => 11
001000111 => 3
001001000 => 9
001001001 => 9
001001010 => 17
001001011 => 9
001001100 => 10
001001101 => 10
001001110 => 11
001001111 => 3
001010000 => 8
001010001 => 8
001010010 => 16
001010011 => 8
001010100 => 15
001010101 => 15
001010110 => 16
001010111 => 8
001011000 => 9
001011001 => 9
001011010 => 17
001011011 => 9
001011100 => 10
001011101 => 10
001011110 => 11
001011111 => 3
001100000 => 4
001100001 => 4
001100010 => 12
001100011 => 4
001100100 => 11
001100101 => 11
001100110 => 12
001100111 => 4
001101000 => 10
001101001 => 10
001101010 => 18
001101011 => 10
001101100 => 11
001101101 => 11
001101110 => 12
001101111 => 4
001110000 => 5
001110001 => 5
001110010 => 13
001110011 => 5
001110100 => 12
001110101 => 12
001110110 => 13
001110111 => 5
001111000 => 6
001111001 => 6
001111010 => 14
001111011 => 6
001111100 => 7
001111101 => 7
001111110 => 8
001111111 => 0
010000000 => 2
010000001 => 2
010000010 => 10
010000011 => 2
010000100 => 9
010000101 => 9
010000110 => 10
010000111 => 2
010001000 => 8
010001001 => 8
010001010 => 16
010001011 => 8
010001100 => 9
010001101 => 9
010001110 => 10
010001111 => 2
010010000 => 7
010010001 => 7
010010010 => 15
010010011 => 7
010010100 => 14
010010101 => 14
010010110 => 15
010010111 => 7
010011000 => 8
010011001 => 8
010011010 => 16
010011011 => 8
010011100 => 9
010011101 => 9
010011110 => 10
010011111 => 2
010100000 => 6
010100001 => 6
010100010 => 14
010100011 => 6
010100100 => 13
010100101 => 13
010100110 => 14
010100111 => 6
010101000 => 12
010101001 => 12
010101010 => 20
010101011 => 12
010101100 => 13
010101101 => 13
010101110 => 14
010101111 => 6
010110000 => 7
010110001 => 7
010110010 => 15
010110011 => 7
010110100 => 14
010110101 => 14
010110110 => 15
010110111 => 7
010111000 => 8
010111001 => 8
010111010 => 16
010111011 => 8
010111100 => 9
010111101 => 9
010111110 => 10
010111111 => 2
011000000 => 3
011000001 => 3
011000010 => 11
011000011 => 3
011000100 => 10
011000101 => 10
011000110 => 11
011000111 => 3
011001000 => 9
011001001 => 9
011001010 => 17
011001011 => 9
011001100 => 10
011001101 => 10
011001110 => 11
011001111 => 3
011010000 => 8
011010001 => 8
011010010 => 16
011010011 => 8
011010100 => 15
011010101 => 15
011010110 => 16
011010111 => 8
011011000 => 9
011011001 => 9
011011010 => 17
011011011 => 9
011011100 => 10
011011101 => 10
011011110 => 11
011011111 => 3
011100000 => 4
011100001 => 4
011100010 => 12
011100011 => 4
011100100 => 11
011100101 => 11
011100110 => 12
011100111 => 4
011101000 => 10
011101001 => 10
011101010 => 18
011101011 => 10
011101100 => 11
011101101 => 11
011101110 => 12
011101111 => 4
011110000 => 5
011110001 => 5
011110010 => 13
011110011 => 5
011110100 => 12
011110101 => 12
011110110 => 13
011110111 => 5
011111000 => 6
011111001 => 6
011111010 => 14
011111011 => 6
011111100 => 7
011111101 => 7
011111110 => 8
011111111 => 0
100000000 => 1
100000001 => 1
100000010 => 9
100000011 => 1
100000100 => 8
100000101 => 8
100000110 => 9
100000111 => 1
100001000 => 7
100001001 => 7
100001010 => 15
100001011 => 7
100001100 => 8
100001101 => 8
100001110 => 9
100001111 => 1
100010000 => 6
100010001 => 6
100010010 => 14
100010011 => 6
100010100 => 13
100010101 => 13
100010110 => 14
100010111 => 6
100011000 => 7
100011001 => 7
100011010 => 15
100011011 => 7
100011100 => 8
100011101 => 8
100011110 => 9
100011111 => 1
100100000 => 5
100100001 => 5
100100010 => 13
100100011 => 5
100100100 => 12
100100101 => 12
100100110 => 13
100100111 => 5
100101000 => 11
100101001 => 11
100101010 => 19
100101011 => 11
100101100 => 12
100101101 => 12
100101110 => 13
100101111 => 5
100110000 => 6
100110001 => 6
100110010 => 14
100110011 => 6
100110100 => 13
100110101 => 13
100110110 => 14
100110111 => 6
100111000 => 7
100111001 => 7
100111010 => 15
100111011 => 7
100111100 => 8
100111101 => 8
100111110 => 9
100111111 => 1
101000000 => 4
101000001 => 4
101000010 => 12
101000011 => 4
101000100 => 11
101000101 => 11
101000110 => 12
101000111 => 4
101001000 => 10
101001001 => 10
101001010 => 18
101001011 => 10
101001100 => 11
101001101 => 11
101001110 => 12
101001111 => 4
101010000 => 9
101010001 => 9
101010010 => 17
101010011 => 9
101010100 => 16
101010101 => 16
101010110 => 17
101010111 => 9
101011000 => 10
101011001 => 10
101011010 => 18
101011011 => 10
101011100 => 11
101011101 => 11
101011110 => 12
101011111 => 4
101100000 => 5
101100001 => 5
101100010 => 13
101100011 => 5
101100100 => 12
101100101 => 12
101100110 => 13
101100111 => 5
101101000 => 11
101101001 => 11
101101010 => 19
101101011 => 11
101101100 => 12
101101101 => 12
101101110 => 13
101101111 => 5
101110000 => 6
101110001 => 6
101110010 => 14
101110011 => 6
101110100 => 13
101110101 => 13
101110110 => 14
101110111 => 6
101111000 => 7
101111001 => 7
101111010 => 15
101111011 => 7
101111100 => 8
101111101 => 8
101111110 => 9
101111111 => 1
110000000 => 2
110000001 => 2
110000010 => 10
110000011 => 2
110000100 => 9
110000101 => 9
110000110 => 10
110000111 => 2
110001000 => 8
110001001 => 8
110001010 => 16
110001011 => 8
110001100 => 9
110001101 => 9
110001110 => 10
110001111 => 2
110010000 => 7
110010001 => 7
110010010 => 15
110010011 => 7
110010100 => 14
110010101 => 14
110010110 => 15
110010111 => 7
110011000 => 8
110011001 => 8
110011010 => 16
110011011 => 8
110011100 => 9
110011101 => 9
110011110 => 10
110011111 => 2
110100000 => 6
110100001 => 6
110100010 => 14
110100011 => 6
110100100 => 13
110100101 => 13
110100110 => 14
110100111 => 6
110101000 => 12
110101001 => 12
110101010 => 20
110101011 => 12
110101100 => 13
110101101 => 13
110101110 => 14
110101111 => 6
110110000 => 7
110110001 => 7
110110010 => 15
110110011 => 7
110110100 => 14
110110101 => 14
110110110 => 15
110110111 => 7
110111000 => 8
110111001 => 8
110111010 => 16
110111011 => 8
110111100 => 9
110111101 => 9
110111110 => 10
110111111 => 2
111000000 => 3
111000001 => 3
111000010 => 11
111000011 => 3
111000100 => 10
111000101 => 10
111000110 => 11
111000111 => 3
111001000 => 9
111001001 => 9
111001010 => 17
111001011 => 9
111001100 => 10
111001101 => 10
111001110 => 11
111001111 => 3
111010000 => 8
111010001 => 8
111010010 => 16
111010011 => 8
111010100 => 15
111010101 => 15
111010110 => 16
111010111 => 8
111011000 => 9
111011001 => 9
111011010 => 17
111011011 => 9
111011100 => 10
111011101 => 10
111011110 => 11
111011111 => 3
111100000 => 4
111100001 => 4
111100010 => 12
111100011 => 4
111100100 => 11
111100101 => 11
111100110 => 12
111100111 => 4
111101000 => 10
111101001 => 10
111101010 => 18
111101011 => 10
111101100 => 11
111101101 => 11
111101110 => 12
111101111 => 4
111110000 => 5
111110001 => 5
111110010 => 13
111110011 => 5
111110100 => 12
111110101 => 12
111110110 => 13
111110111 => 5
111111000 => 6
111111001 => 6
111111010 => 14
111111011 => 6
111111100 => 7
111111101 => 7
111111110 => 8
111111111 => 0
1010101010 => 25
1010101100 => 17
1010110010 => 19
1010110100 => 18
1010111000 => 11
1011001010 => 21
1011001100 => 13
1011010010 => 20
1011010100 => 19
1011011000 => 12
1011100010 => 15
1011100100 => 14
1011101000 => 13
1011110000 => 7
1100101010 => 23
1100101100 => 15
1100110010 => 17
1100110100 => 16
1100111000 => 9
1101001010 => 22
1101001100 => 14
1101010010 => 21
1101010100 => 20
1101011000 => 13
1101100010 => 16
1101100100 => 15
1101101000 => 14
1101110000 => 8
1110001010 => 19
1110001100 => 11
1110010010 => 18
1110010100 => 17
1110011000 => 10
1110100010 => 17
1110100100 => 16
1110101000 => 15
1110110000 => 9
1111000010 => 13
1111000100 => 12
1111001000 => 11
1111010000 => 10
1111100000 => 5
1111111110 => 9
1111111101 => 8
1111000001 => 4
1110111110 => 12
1110100001 => 8
1110011110 => 12
1110010001 => 9
1110001001 => 10
1110000101 => 11
1101111110 => 11
1101100001 => 7
1101010001 => 12
1101001110 => 15
1101001001 => 13
1101000101 => 14
1100110001 => 8
1100101001 => 14
1100100110 => 16
1100100101 => 15
1100011001 => 9
1100010101 => 16
1100010010 => 17
1100001000 => 9
1011111110 => 10
1011111101 => 9
1011100001 => 6
1011010001 => 11
1011001001 => 12
1011000101 => 13
1010111110 => 13
1010110001 => 10
1010101001 => 16
1010100110 => 18
1010100101 => 17
1010011010 => 20
1010011001 => 11
1010010110 => 19
1010010101 => 18
1010001110 => 13
1001111110 => 10
1001111000 => 8
1001110100 => 15
1001110001 => 7
1001101100 => 14
1001101010 => 22
1001101001 => 13
1001100110 => 15
1001100101 => 14
1001011110 => 14
1001011010 => 21
1001011001 => 12
1001010110 => 20
1001010101 => 19
1001001110 => 14
1000111110 => 10
1000111100 => 9
1000111010 => 17
1000110110 => 16
1000101110 => 15
1000011110 => 10
1000010110 => 16
1000001110 => 10
1000001010 => 17
1000000110 => 10
1000000100 => 9
1000000010 => 10
1000000000 => 1
0000111110 => 9
0001111010 => 16
0001111100 => 8
0001110110 => 15
0011110010 => 15
0011110100 => 14
0010111010 => 19
0010111100 => 11
0011111000 => 7
0001101110 => 14
0011101010 => 21
0011101100 => 13
0011100110 => 14
0111100010 => 14
0111100100 => 13
0100111010 => 18
0100111100 => 10
0111101000 => 12
0010110110 => 18
0110110010 => 18
0110110100 => 17
0101101010 => 23
0101101100 => 15
0110111000 => 10
0101110010 => 17
0101110100 => 16
0101111000 => 9
0111110000 => 6
0101010101 => 20
0000011111 => 0
0100001111 => 2
0000110111 => 6
0000101111 => 5
0101000111 => 6
0000111011 => 7
0100011011 => 9
0001101011 => 12
0001011011 => 11
0100010111 => 8
0001100111 => 5
0001001111 => 4
0001010111 => 10
0101010011 => 12
0000111101 => 8
0100011101 => 10
0001101101 => 13
0001011101 => 12
0101001101 => 14
0001110101 => 14
0100110101 => 16
0011010101 => 18
0010110101 => 17
0100101101 => 15
0011000111 => 4
0010001111 => 3
0010101101 => 16
0101001011 => 13
0001110011 => 6
0100110011 => 8
0011010011 => 10
0010110011 => 9
0100100111 => 7
0011001101 => 12
0010011101 => 11
0010100111 => 8
0100101011 => 14
0011001011 => 11
0010011011 => 10
0010010111 => 9
0010101011 => 15
0111100001 => 5
0111000101 => 12
0110110001 => 9
0111010001 => 10
0110010101 => 17
0101110001 => 8
0101100101 => 15
0101011001 => 13
0101101001 => 14
0110100101 => 16
0110101001 => 15
0110011001 => 10
0111001001 => 11
0111011000 => 11
0110101100 => 16
0111001100 => 12
0111010100 => 18
0101011100 => 14
0101010110 => 21
0101011010 => 22
0111000110 => 13
0110011100 => 11
0110010110 => 18
0110011010 => 19
0101100110 => 16
0111001010 => 20
0110100110 => 17
0111010010 => 19
0110101010 => 24
0001011110 => 13
0010101110 => 17
0010011110 => 12
0001111001 => 7
0000000010 => 9
0100000100 => 10
0000000001 => 0
0100000001 => 2
0110000001 => 3
0111000001 => 4
0111110001 => 6
0111111001 => 7
0111111101 => 8
0111111111 => 0
0010000001 => 3
0101000001 => 6
0110100001 => 8
0111101001 => 12
0111110101 => 14
0111111011 => 7
0000000101 => 8
0000001101 => 8
0000011101 => 8
0001111101 => 8
0011111101 => 8
0000001001 => 7
0000010101 => 14
0000101101 => 13
0010111101 => 11
0101111101 => 10
0100000000 => 2
0100000011 => 2
0100000111 => 2
0100011111 => 2
0100111111 => 2
0101111111 => 2
0100000010 => 11
0100000101 => 10
0100001011 => 9
0100101111 => 7
0101011111 => 6
0110111111 => 3
0000000000 => 0
0010001100 => 11
0001000011 => 4
0010000010 => 12
0001000001 => 4
0001100001 => 5
0010110001 => 9
0000000100 => 8
0001101001 => 12
0000110001 => 6
0000010001 => 6
0000111010 => 16
0000011010 => 16
0000001010 => 16
0001011010 => 20
0000101010 => 21
0000010010 => 15
0010011111 => 3
0000100111 => 5
0000010011 => 6
0010000000 => 3
0010101010 => 24
0000011110 => 9
0000001111 => 0
0000000011 => 0
0001010101 => 18
0000000111 => 0
0000000110 => 9
0000001011 => 7
0000011011 => 7
0010011001 => 10
0001011001 => 11
0000111001 => 7
0001101111 => 5
0000110101 => 14
0001111110 => 9
0010001110 => 12
0010001000 => 10
0001000010 => 13
0001100101 => 13
0000100001 => 5
0010000100 => 11
0001000110 => 13
0010100011 => 8
0010000110 => 12
0001000101 => 12
0010001001 => 10
0000001000 => 7
0000100011 => 5
0001001011 => 11
0010000101 => 11
0000100010 => 14
0001100010 => 14
0000001100 => 8
0000110110 => 15
0000010100 => 14
0000111000 => 7
0001110100 => 14
0001111011 => 7
0000110100 => 14
0000100100 => 13
0001010100 => 18
0010010011 => 9
0000100110 => 14
0001001110 => 13
0001000111 => 4
0000011001 => 7
0000110011 => 6
0001000000 => 4
0000100101 => 13
0000101011 => 12
0001000100 => 12
0001001001 => 11
0001001010 => 20
0010010010 => 18
0010010101 => 17
0010010000 => 9
0000010111 => 6
0001011100 => 12
0001111000 => 7
0010101000 => 15
0000011100 => 8
0010101111 => 8
0001110111 => 6
0001010001 => 10
0000010000 => 6
0010000111 => 3
0010000011 => 3
0010010110 => 18
0001010110 => 19
0010010100 => 17
0010001010 => 19
0001001000 => 11
0010011100 => 11
0010110000 => 9
0001110000 => 6
0010011000 => 10
0001011000 => 11
0001001100 => 12
0001010000 => 10
0010010001 => 9
0010100100 => 16
0001001101 => 12
0010101001 => 15
0001110001 => 6
0001101100 => 13
0001100011 => 5
10000000000 => 1
10000000010 => 11
10000000110 => 11
10000001110 => 11
10000011110 => 11
10000111110 => 11
10001111110 => 11
10011111110 => 11
10111111110 => 11
11111111110 => 10
10000000100 => 10
10000001010 => 19
10000010110 => 18
10000101110 => 17
10001011110 => 16
10010111110 => 15
10101111110 => 14
11011111110 => 12
10000010000 => 8
10000100010 => 17
10001000010 => 16
10000100100 => 16
10001001010 => 24
10001000100 => 15
10000101000 => 15
10010001010 => 23
10001010010 => 23
10010000100 => 14
10001001000 => 14
10010010010 => 22
10001010100 => 22
10010101010 => 29
10010001000 => 13
10100010010 => 21
10010100010 => 21
10010010100 => 21
10100101010 => 28
00001000001 => 5
00000000010 => 10
00000000001 => 0
01000000001 => 2
01100000001 => 3
01110000001 => 4
01111000001 => 5
01111100001 => 6
01111110001 => 7
01111111001 => 8
01111111101 => 9
01111111111 => 0
00000000101 => 9
00000001101 => 9
00000011101 => 9
00000111101 => 9
00001111101 => 9
00011111101 => 9
00111111101 => 9
11111111101 => 9
01000000000 => 2
01000000011 => 2
01000000111 => 2
01000001111 => 2
01000011111 => 2
01000111111 => 2
01001111111 => 2
01011111111 => 2
00010100001 => 10
00100100001 => 9
00010010001 => 11
01000001000 => 10
01000100001 => 8
00101010001 => 15
00010000010 => 14
00010001001 => 12
10100001000 => 12
10000100001 => 7
01000010100 => 18
01001010001 => 14
00100000100 => 12
00100010001 => 10
00101000010 => 18
00101001001 => 16
00010000101 => 13
10100010100 => 20
10010100100 => 20
10001010001 => 13
01000100100 => 17
01000010010 => 19
01010000100 => 15
01010010001 => 13
01001000010 => 17
01001001001 => 15
00100001010 => 21
00100100010 => 19
00100101001 => 17
00101000101 => 17
10101010010 => 26
10101001010 => 27
01001001010 => 25
01001010010 => 24
01010001010 => 24
01010010010 => 23
00100010010 => 20
10100100010 => 20
10100100100 => 19
00100101010 => 27
01010101010 => 30
01010100010 => 22
01000101010 => 26
01000100010 => 18
10101000100 => 18
00101010010 => 25
00101001010 => 26
01001000100 => 16
00100010101 => 19
01001000101 => 16
10001000101 => 15
01000010001 => 9
10100010001 => 11
00101010100 => 24
00101000100 => 17
00100100100 => 18
01010100100 => 21
10010010001 => 12
00010010100 => 20
00100010100 => 19
00010010010 => 21
00010001010 => 22
00100001001 => 11
10010001001 => 13
01001010101 => 23
01010010100 => 22
01000100101 => 17
01010010101 => 22
01010001000 => 14
01010101001 => 20
01001010100 => 23
01000101001 => 16
01010100101 => 21
01001001000 => 15
01010001001 => 14
01000101000 => 16
00101001000 => 16
10010100101 => 20
10100101001 => 18
10010010101 => 21
10100100101 => 19
10101001001 => 17
10101010101 => 25
00001000010 => 15
00010100010 => 20
00010000100 => 13
00001000100 => 14
00010100100 => 19
00100100101 => 18
10001001001 => 14
00001001000 => 13
00001010000 => 12
00010001000 => 12
00100101000 => 17
00010101000 => 18
00100010000 => 10
00000100000 => 6
00010010000 => 11
01000010000 => 9
00100001000 => 11
10010101001 => 19
101010101010 => 36
101010101100 => 26
101010110010 => 28
101010110100 => 27
101010111000 => 18
101011001010 => 30
101011001100 => 20
101011010010 => 29
101011010100 => 28
101011011000 => 19
101011100010 => 22
101011100100 => 21
101011101000 => 20
101011110000 => 12
101100101010 => 32
101100101100 => 22
101100110010 => 24
101100110100 => 23
101100111000 => 14
101101001010 => 31
101101001100 => 21
101101010010 => 30
101101010100 => 29
101101011000 => 20
101101100010 => 23
101101100100 => 22
101101101000 => 21
101101110000 => 13
101110001010 => 26
101110001100 => 16
101110010010 => 25
101110010100 => 24
101110011000 => 15
101110100010 => 24
101110100100 => 23
101110101000 => 22
101110110000 => 14
101111000010 => 18
101111000100 => 17
101111001000 => 16
101111010000 => 15
101111100000 => 8
110010101010 => 34
110010101100 => 24
110010110010 => 26
110010110100 => 25
110010111000 => 16
110011001010 => 28
110011001100 => 18
110011010010 => 27
110011010100 => 26
110011011000 => 17
110011100010 => 20
110011100100 => 19
110011101000 => 18
110011110000 => 10
110100101010 => 33
110100101100 => 23
110100110010 => 25
110100110100 => 24
110100111000 => 15
110101001010 => 32
110101001100 => 22
110101010010 => 31
110101010100 => 30
110101011000 => 21
110101100010 => 24
110101100100 => 23
110101101000 => 22
110101110000 => 14
110110001010 => 27
110110001100 => 17
110110010010 => 26
110110010100 => 25
110110011000 => 16
110110100010 => 25
110110100100 => 24
110110101000 => 23
110110110000 => 15
110111000010 => 19
110111000100 => 18
110111001000 => 17
110111010000 => 16
110111100000 => 9
111000101010 => 30
111000101100 => 20
111000110010 => 22
111000110100 => 21
111000111000 => 12
111001001010 => 29
111001001100 => 19
111001010010 => 28
111001010100 => 27
111001011000 => 18
111001100010 => 21
111001100100 => 20
111001101000 => 19
111001110000 => 11
111010001010 => 28
111010001100 => 18
111010010010 => 27
111010010100 => 26
111010011000 => 17
111010100010 => 26
111010100100 => 25
111010101000 => 24
111010110000 => 16
111011000010 => 20
111011000100 => 19
111011001000 => 18
111011010000 => 17
111011100000 => 10
111100001010 => 24
111100001100 => 14
111100010010 => 23
111100010100 => 22
111100011000 => 13
111100100010 => 22
111100100100 => 21
111100101000 => 20
111100110000 => 12
111101000010 => 21
111101000100 => 20
111101001000 => 19
111101010000 => 18
111101100000 => 11
111110000010 => 16
111110000100 => 15
111110001000 => 14
111110010000 => 13
111110100000 => 12
111111000000 => 6
100001111100 => 11
000011011110 => 17
010000011111 => 2
000001111101 => 10
111100000101 => 14
011111000001 => 6
010111110000 => 10
000111011100 => 16
100011111000 => 10
000111011010 => 26
001011011100 => 19
100011110100 => 19
100101111000 => 14
000111010110 => 25
001111011000 => 15
010011011100 => 18
000101101110 => 22
100011101100 => 18
100111110000 => 9
010001111010 => 22
101001111000 => 13
000111001110 => 17
001111010100 => 24
001011011010 => 29
010111011000 => 17
100011011100 => 17
001101101100 => 21
100111101000 => 17
001001110110 => 22
100101110100 => 23
010011110010 => 21
110001111000 => 11
001111001100 => 16
001111010010 => 25
010111010100 => 26
011011011000 => 18
100111011000 => 16
001101101010 => 31
010101101100 => 23
001011100110 => 21
100111100100 => 18
010011101010 => 29
011001110100 => 21
010101110010 => 25
000010111101 => 15
010000101111 => 9
000011011101 => 16
000100111101 => 14
010000110111 => 10
010001001111 => 8
000011101101 => 17
000101011101 => 20
001000111101 => 13
000011110011 => 8
010000111011 => 11
010001010111 => 16
001100001111 => 4
010010001111 => 7
000011110101 => 18
000101101101 => 21
000110011101 => 15
001001011101 => 19
010000111101 => 12
000101110011 => 12
010001011011 => 17
000111000111 => 6
010001100111 => 9
001100010111 => 12
010010010111 => 15
010100001111 => 6
000101110101 => 22
000110101101 => 22
001001101101 => 20
001010011101 => 18
010001011101 => 18
000110110011 => 13
001001110011 => 11
000111001011 => 15
010001101011 => 18
001100011011 => 13
010010011011 => 16
001011000111 => 9
001100100111 => 11
010010100111 => 14
010100010111 => 14
011110100001 => 12
111010000101 => 18
011101100001 => 11
011110010001 => 13
110110000101 => 17
111001000101 => 19
011011100001 => 10
011101010001 => 18
011110001001 => 14
100111100001 => 8
101110000101 => 16
110101000101 => 22
111000011001 => 12
111000100101 => 20
010111100001 => 9
011011010001 => 17
011100110001 => 12
011101001001 => 19
011110000101 => 15
100111010001 => 15
101101000101 => 21
110001110001 => 10
110011000101 => 18
110100011001 => 15
110100100101 => 23
111000010101 => 21
010111010001 => 16
011010110001 => 16
011011001001 => 18
011100101001 => 20
011101000101 => 20
100110110001 => 14
100111001001 => 16
101001110001 => 12
101011000101 => 20
101100011001 => 14
101100100101 => 22
110001101001 => 18
110010011001 => 16
110010100101 => 24
110100010101 => 24
010111101000 => 18
010111100100 => 19
010110111000 => 16
010111100010 => 20
011001111000 => 12
011110000110 => 16
010101111000 => 15
010110110100 => 25
010111001100 => 18
010111010010 => 27
011100011100 => 14
011101000110 => 21
010101110100 => 24
010110101100 => 24
010110110010 => 26
010111001010 => 28
011001101100 => 20
011001110010 => 22
011010011100 => 18
011011000110 => 20
011100011010 => 24
011100100110 => 22
011111000100 => 16
011111000010 => 17
011101100100 => 21
011101100010 => 22
011011100100 => 20
011011010100 => 27
011011100010 => 21
011011010010 => 28
011111010000 => 14
011111001000 => 15
001111001010 => 26
011101110000 => 12
011111100000 => 7
011101101000 => 20
010101101010 => 33
001111000110 => 17
010011110100 => 20
010011101100 => 19
011011110000 => 11
011011101000 => 19
010011011010 => 28
001101100110 => 22
001011010101 => 27
001101010101 => 28
001011010011 => 17
001101010011 => 18
001011001011 => 18
001011001101 => 19
001101001011 => 19
001101001101 => 20
001001110101 => 21
001010101101 => 25
001100101101 => 21
001101000111 => 10
001010110101 => 26
001100110101 => 22
001001100111 => 10
001001101011 => 19
000110110101 => 23
001010100111 => 15
001010101011 => 24
001100101011 => 20
001010110011 => 16
001100110011 => 12
000111010101 => 24
001000110111 => 11
001000111011 => 12
001001010111 => 17
001001011011 => 18
001010010111 => 16
001010011011 => 17
001100011101 => 14
000111010011 => 14
010101001011 => 21
010101010011 => 20
010011001011 => 17
010011010011 => 16
010100011011 => 15
010010101011 => 23
010010110011 => 15
010100101011 => 22
010100110011 => 14
000110011011 => 14
010100100111 => 13
000110101011 => 21
010101000111 => 12
000100111011 => 13
000101011011 => 19
000101101011 => 20
010001110011 => 10
010101101001 => 22
010101011001 => 21
100101101001 => 21
100101011001 => 20
101001101001 => 20
011001101001 => 19
101001011001 => 19
011001011001 => 18
010111001001 => 17
011010101001 => 24
011010011001 => 17
110001011001 => 17
010110101001 => 23
010110011001 => 16
110011001001 => 17
101011001001 => 19
010110110001 => 15
110010101001 => 23
101010101001 => 25
101010011001 => 18
100110101001 => 22
100110011001 => 15
010101110001 => 14
110110001001 => 16
101110001001 => 15
110101001001 => 21
101101001001 => 20
110100101001 => 22
101100101001 => 21
011100011001 => 13
100101110001 => 13
010101011010 => 32
010101010110 => 31
011001011010 => 29
011001010110 => 28
011010011010 => 28
010110011010 => 27
011010010110 => 27
010110010110 => 26
010110101010 => 34
010110100110 => 25
011100010110 => 23
010101100110 => 24
011100110010 => 23
011010110010 => 27
011100101010 => 31
011010101010 => 35
011010100110 => 26
011001101010 => 30
011001100110 => 21
010101011100 => 22
011101010010 => 29
011101001010 => 30
011011001010 => 29
010111000110 => 19
011001011100 => 19
100101101100 => 22
100111001100 => 17
001111110000 => 8
001011110010 => 22
001101110010 => 23
001111100010 => 18
100111010100 => 25
001101111000 => 13
001101110100 => 22
001011101010 => 30
001011010110 => 28
010100011101 => 16
010001110101 => 20
000101010111 => 18
000110010111 => 13
000110100111 => 12
010001101101 => 19
000101001111 => 10
000101100111 => 11
001001001111 => 9
001010001111 => 8
000111001101 => 16
010010011101 => 17
000011010111 => 14
000011011011 => 15
000011101011 => 16
010011000111 => 8
110001010101 => 26
101100010101 => 23
011100010101 => 22
100111000101 => 17
010111000101 => 18
110101010001 => 20
110100110001 => 14
110010110001 => 15
101010110001 => 17
011011000101 => 19
111001010001 => 17
110011010001 => 16
111001001001 => 18
101100110001 => 13
111000101001 => 19
011001110001 => 11
011101010100 => 28
011101001100 => 20
011100101100 => 21
011010101100 => 25
011110010100 => 23
011100110100 => 22
011110010010 => 24
011011001100 => 19
011110001010 => 25
010110011100 => 17
101001110100 => 22
010011001101 => 18
110001100101 => 19
011001100101 => 20
001111100100 => 17
000111100110 => 18
001111101000 => 16
000111101010 => 27
001011101100 => 20
000111101100 => 17
000111110010 => 19
000010111011 => 14
001000101111 => 10
100101010101 => 29
100101100101 => 22
101011010001 => 18
100110010101 => 24
101001010101 => 28
101011100001 => 11
101010100101 => 26
101101010001 => 19
100110100101 => 23
101010010101 => 27
101101100001 => 12
101001100101 => 21
101110010001 => 14
101110100001 => 13
110101100001 => 13
011001010101 => 27
011010110100 => 26
011010010101 => 26
011010111000 => 17
011010100101 => 25
011101011000 => 19
010100101101 => 23
010010110101 => 25
010101001101 => 22
010100110101 => 24
010011010101 => 26
010101010101 => 30
010110100101 => 24
010110010101 => 25
010101100101 => 23
010001111100 => 12
010011111000 => 11
001001111010 => 23
001001111100 => 13
001011111000 => 12
001000011111 => 3
000110001111 => 5
000100011111 => 4
000100101111 => 11
000001111011 => 9
000011100111 => 7
000001110111 => 8
000010110111 => 13
111100001001 => 13
111010001001 => 17
111000110001 => 11
111100010001 => 12
111010010001 => 16
011110100010 => 23
011110001100 => 15
011110100100 => 22
110010010101 => 25
011100100101 => 21
000101111100 => 14
000011111100 => 10
001011110100 => 21
000101111010 => 24
000111110100 => 18
000111111000 => 9
000010011111 => 5
000001011111 => 6
000100110111 => 12
000011001111 => 6
000010101111 => 12
000001101111 => 7
111100100001 => 11
111101000001 => 10
110110010001 => 15
111001100001 => 10
110110100001 => 14
111010100001 => 15
011110011000 => 14
011110101000 => 21
000011110110 => 19
000001111110 => 11
000011111010 => 20
000000111111 => 0
110111000001 => 8
111110000001 => 5
111011000001 => 9
011110110000 => 13
000011101110 => 18
000101110110 => 23
101111000001 => 7
110011100001 => 9
011100111000 => 13
010010101101 => 24
10110111100000 => 14
10111011010000 => 24
10111011100000 => 15
10111100110000 => 17
10111101001000 => 26
10111101010000 => 25
10111101100000 => 16
10111110000100 => 20
10111110001000 => 19
10111110010000 => 18
10111110100000 => 17
10111111000000 => 9
11001111100000 => 11
11011110000010 => 22
11101101000010 => 30
11101110000010 => 23
11110011000010 => 25
11110100100010 => 32
11110101000010 => 31
11110110000010 => 24
11111000001100 => 17
11111000010010 => 28
11111000100010 => 27
11111001000010 => 26
11111010000010 => 25
11111100000010 => 19
1011110111000000 => 17
1011111010100000 => 28
1011111011000000 => 18
1011111100010000 => 21
1011111100100000 => 20
1011111101000000 => 19
1011111110000000 => 10
1111011100000010 => 27
1111101010000010 => 36
1111101100000010 => 28
1111110001000010 => 31
1111110010000010 => 30
1111110100000010 => 29
1111111000000010 => 22
111111110000000010 => 25
101111111100000000 => 11
111111101000000010 => 33
101111111010000000 => 21
111111100100000010 => 34
111111011000000010 => 32
101111111001000000 => 22
101111110110000000 => 20
11111111100000000010 => 28
10111111111000000000 => 12
11111111010000000010 => 37
10111111110100000000 => 23
1111111111000000000010 => 31
1011111111110000000000 => 13
click to show generating function       
Description
The major index of a binary word.
This is the sum of the positions of descents, i.e., a one followed by a zero.
For words of length $n$ with $a$ zeros, the generating function for the major index is the $q$-binomial coefficient $\binom{n}{a}_q$.
Code
def statistic(x):
    return x.major_index()

Created
Nov 19, 2015 at 11:57 by Martin Rubey
Updated
Nov 17, 2019 at 18:31 by Martin Rubey