Identifier
Identifier
Values
0000001110 => -4
0000010110 => -4
0000011000 => -6
0000100000 => -8
0000101000 => -6
0000101001 => -4
0000101100 => -4
0000101110 => -2
0000110000 => -6
0000110010 => -4
0000111100 => -2
0000111111 => 2
0001010010 => -4
0001010011 => -2
0001011111 => 2
0001100000 => -6
0001100100 => -4
0001100110 => -2
0001101000 => -4
0001101010 => -2
0001110010 => -2
0001111111 => 4
0010001011 => -2
0010001101 => -2
0010011010 => -2
0010100000 => -6
0010100001 => -4
0010100010 => -4
0010100101 => -2
0010100110 => -2
0010101100 => -2
0 => -1
1 => 1
00 => -2
01 => 0
10 => 0
11 => 2
000 => -3
001 => -1
010 => -1
011 => 1
100 => -1
101 => 1
110 => 1
111 => 3
0000 => -4
0001 => -2
0010 => -2
0011 => 0
0100 => -2
0101 => 0
0110 => 0
0111 => 2
1000 => -2
1001 => 0
1010 => 0
1011 => 2
1100 => 0
1101 => 2
1110 => 2
1111 => 4
00000 => -5
00001 => -3
00010 => -3
00011 => -1
00100 => -3
00101 => -1
00110 => -1
00111 => 1
01000 => -3
01001 => -1
01010 => -1
01011 => 1
01100 => -1
01101 => 1
01110 => 1
01111 => 3
10000 => -3
10001 => -1
10010 => -1
10011 => 1
10100 => -1
10101 => 1
10110 => 1
10111 => 3
11000 => -1
11001 => 1
11010 => 1
11011 => 3
11100 => 1
11101 => 3
11110 => 3
11111 => 5
000000 => -6
000001 => -4
000010 => -4
000011 => -2
000100 => -4
000101 => -2
000110 => -2
000111 => 0
001000 => -4
001001 => -2
001010 => -2
001011 => 0
001100 => -2
001101 => 0
001110 => 0
001111 => 2
010000 => -4
010001 => -2
010010 => -2
010011 => 0
010100 => -2
010101 => 0
010110 => 0
010111 => 2
011000 => -2
011001 => 0
011010 => 0
011011 => 2
011100 => 0
011101 => 2
011110 => 2
011111 => 4
100000 => -4
100001 => -2
100010 => -2
100011 => 0
100100 => -2
100101 => 0
100110 => 0
100111 => 2
101000 => -2
101001 => 0
101010 => 0
101011 => 2
101100 => 0
101101 => 2
101110 => 2
101111 => 4
110000 => -2
110001 => 0
110010 => 0
110011 => 2
110100 => 0
110101 => 2
110110 => 2
110111 => 4
111000 => 0
111001 => 2
111010 => 2
111011 => 4
111100 => 2
111101 => 4
111110 => 4
111111 => 6
0000000 => -7
0000001 => -5
0000010 => -5
0000011 => -3
0000100 => -5
0000101 => -3
0000110 => -3
0000111 => -1
0001000 => -5
0001001 => -3
0001010 => -3
0001011 => -1
0001100 => -3
0001101 => -1
0001110 => -1
0001111 => 1
0010000 => -5
0010001 => -3
0010010 => -3
0010011 => -1
0010100 => -3
0010101 => -1
0010110 => -1
0010111 => 1
0011000 => -3
0011001 => -1
0011010 => -1
0011011 => 1
0011100 => -1
0011101 => 1
0011110 => 1
0011111 => 3
0100000 => -5
0100001 => -3
0100010 => -3
0100011 => -1
0100100 => -3
0100101 => -1
0100110 => -1
0100111 => 1
0101000 => -3
0101001 => -1
0101010 => -1
0101011 => 1
0101100 => -1
0101101 => 1
0101110 => 1
0101111 => 3
0110000 => -3
0110001 => -1
0110010 => -1
0110011 => 1
0110100 => -1
0110101 => 1
0110110 => 1
0110111 => 3
0111000 => -1
0111001 => 1
0111010 => 1
0111011 => 3
0111100 => 1
0111101 => 3
0111110 => 3
0111111 => 5
1000000 => -5
1000001 => -3
1000010 => -3
1000011 => -1
1000100 => -3
1000101 => -1
1000110 => -1
1000111 => 1
1001000 => -3
1001001 => -1
1001010 => -1
1001011 => 1
1001100 => -1
1001101 => 1
1001110 => 1
1001111 => 3
1010000 => -3
1010001 => -1
1010010 => -1
1010011 => 1
1010100 => -1
1010101 => 1
1010110 => 1
1010111 => 3
1011000 => -1
1011001 => 1
1011010 => 1
1011011 => 3
1011100 => 1
1011101 => 3
1011110 => 3
1011111 => 5
1100000 => -3
1100001 => -1
1100010 => -1
1100011 => 1
1100100 => -1
1100101 => 1
1100110 => 1
1100111 => 3
1101000 => -1
1101001 => 1
1101010 => 1
1101011 => 3
1101100 => 1
1101101 => 3
1101110 => 3
1101111 => 5
1110000 => -1
1110001 => 1
1110010 => 1
1110011 => 3
1110100 => 1
1110101 => 3
1110110 => 3
1110111 => 5
1111000 => 1
1111001 => 3
1111010 => 3
1111011 => 5
1111100 => 3
1111101 => 5
1111110 => 5
1111111 => 7
00000000 => -8
00000001 => -6
00000010 => -6
00000011 => -4
00000100 => -6
00000101 => -4
00000110 => -4
00000111 => -2
00001000 => -6
00001001 => -4
00001010 => -4
00001011 => -2
00001100 => -4
00001101 => -2
00001110 => -2
00001111 => 0
00010000 => -6
00010001 => -4
00010010 => -4
00010011 => -2
00010100 => -4
00010101 => -2
00010110 => -2
00010111 => 0
00011000 => -4
00011001 => -2
00011010 => -2
00011011 => 0
00011100 => -2
00011101 => 0
00011110 => 0
00011111 => 2
00100000 => -6
00100001 => -4
00100010 => -4
00100011 => -2
00100100 => -4
00100101 => -2
00100110 => -2
00100111 => 0
00101000 => -4
00101001 => -2
00101010 => -2
00101011 => 0
00101100 => -2
00101101 => 0
00101110 => 0
00101111 => 2
00110000 => -4
00110001 => -2
00110010 => -2
00110011 => 0
00110100 => -2
00110101 => 0
00110110 => 0
00110111 => 2
00111000 => -2
00111001 => 0
00111010 => 0
00111011 => 2
00111100 => 0
00111101 => 2
00111110 => 2
00111111 => 4
01000000 => -6
01000001 => -4
01000010 => -4
01000011 => -2
01000100 => -4
01000101 => -2
01000110 => -2
01000111 => 0
01001000 => -4
01001001 => -2
01001010 => -2
01001011 => 0
01001100 => -2
01001101 => 0
01001110 => 0
01001111 => 2
01010000 => -4
01010001 => -2
01010010 => -2
01010011 => 0
01010100 => -2
01010101 => 0
01010110 => 0
01010111 => 2
01011000 => -2
01011001 => 0
01011010 => 0
01011011 => 2
01011100 => 0
01011101 => 2
01011110 => 2
01011111 => 4
01100000 => -4
01100001 => -2
01100010 => -2
01100011 => 0
01100100 => -2
01100101 => 0
01100110 => 0
01100111 => 2
01101000 => -2
01101001 => 0
01101010 => 0
01101011 => 2
01101100 => 0
01101101 => 2
01101110 => 2
01101111 => 4
01110000 => -2
01110001 => 0
01110010 => 0
01110011 => 2
01110100 => 0
01110101 => 2
01110110 => 2
01110111 => 4
01111000 => 0
01111001 => 2
01111010 => 2
01111011 => 4
01111100 => 2
01111101 => 4
01111110 => 4
01111111 => 6
10000000 => -6
10000001 => -4
10000010 => -4
10000011 => -2
10000100 => -4
10000101 => -2
10000110 => -2
10000111 => 0
10001000 => -4
10001001 => -2
10001010 => -2
10001011 => 0
10001100 => -2
10001101 => 0
10001110 => 0
10001111 => 2
10010000 => -4
10010001 => -2
10010010 => -2
10010011 => 0
10010100 => -2
10010101 => 0
10010110 => 0
10010111 => 2
10011000 => -2
10011001 => 0
10011010 => 0
10011011 => 2
10011100 => 0
10011101 => 2
10011110 => 2
10011111 => 4
10100000 => -4
10100001 => -2
10100010 => -2
10100011 => 0
10100100 => -2
10100101 => 0
10100110 => 0
10100111 => 2
10101000 => -2
10101001 => 0
10101010 => 0
10101011 => 2
10101100 => 0
10101101 => 2
10101110 => 2
10101111 => 4
10110000 => -2
10110001 => 0
10110010 => 0
10110011 => 2
10110100 => 0
10110101 => 2
10110110 => 2
10110111 => 4
10111000 => 0
10111001 => 2
10111010 => 2
10111011 => 4
10111100 => 2
10111101 => 4
10111110 => 4
10111111 => 6
11000000 => -4
11000001 => -2
11000010 => -2
11000011 => 0
11000100 => -2
11000101 => 0
11000110 => 0
11000111 => 2
11001000 => -2
11001001 => 0
11001010 => 0
11001011 => 2
11001100 => 0
11001101 => 2
11001110 => 2
11001111 => 4
11010000 => -2
11010001 => 0
11010010 => 0
11010011 => 2
11010100 => 0
11010101 => 2
11010110 => 2
11010111 => 4
11011000 => 0
11011001 => 2
11011010 => 2
11011011 => 4
11011100 => 2
11011101 => 4
11011110 => 4
11011111 => 6
11100000 => -2
11100001 => 0
11100010 => 0
11100011 => 2
11100100 => 0
11100101 => 2
11100110 => 2
11100111 => 4
11101000 => 0
11101001 => 2
11101010 => 2
11101011 => 4
11101100 => 2
11101101 => 4
11101110 => 4
11101111 => 6
11110000 => 0
11110001 => 2
11110010 => 2
11110011 => 4
11110100 => 2
11110101 => 4
11110110 => 4
11110111 => 6
11111000 => 2
11111001 => 4
11111010 => 4
11111011 => 6
11111100 => 4
11111101 => 6
11111110 => 6
11111111 => 8
000000000 => -9
000000001 => -7
000000010 => -7
000000011 => -5
000000100 => -7
000000101 => -5
000000110 => -5
000000111 => -3
000001000 => -7
000001001 => -5
000001010 => -5
000001011 => -3
000001100 => -5
000001101 => -3
000001110 => -3
000001111 => -1
000010000 => -7
000010001 => -5
000010010 => -5
000010011 => -3
000010100 => -5
000010101 => -3
000010110 => -3
000010111 => -1
000011000 => -5
000011001 => -3
000011010 => -3
000011011 => -1
000011100 => -3
000011101 => -1
000011110 => -1
000011111 => 1
000100000 => -7
000100001 => -5
000100010 => -5
000100011 => -3
000100100 => -5
000100101 => -3
000100110 => -3
000100111 => -1
000101000 => -5
000101001 => -3
000101010 => -3
000101011 => -1
000101100 => -3
000101101 => -1
000101110 => -1
000101111 => 1
000110000 => -5
000110001 => -3
000110010 => -3
000110011 => -1
000110100 => -3
000110101 => -1
000110110 => -1
000110111 => 1
000111000 => -3
000111001 => -1
000111010 => -1
000111011 => 1
000111100 => -1
000111101 => 1
000111110 => 1
000111111 => 3
001000000 => -7
001000001 => -5
001000010 => -5
001000011 => -3
001000100 => -5
001000101 => -3
001000110 => -3
001000111 => -1
001001000 => -5
001001001 => -3
001001010 => -3
001001011 => -1
001001100 => -3
001001101 => -1
001001110 => -1
001001111 => 1
001010000 => -5
001010001 => -3
001010010 => -3
001010011 => -1
001010100 => -3
001010101 => -1
001010110 => -1
001010111 => 1
001011000 => -3
001011001 => -1
001011010 => -1
001011011 => 1
001011100 => -1
001011101 => 1
001011110 => 1
001011111 => 3
001100000 => -5
001100001 => -3
001100010 => -3
001100011 => -1
001100100 => -3
001100101 => -1
001100110 => -1
001100111 => 1
001101000 => -3
001101001 => -1
001101010 => -1
001101011 => 1
001101100 => -1
001101101 => 1
001101110 => 1
001101111 => 3
001110000 => -3
001110001 => -1
001110010 => -1
001110011 => 1
001110100 => -1
001110101 => 1
001110110 => 1
001110111 => 3
001111000 => -1
001111001 => 1
001111010 => 1
001111011 => 3
001111100 => 1
001111101 => 3
001111110 => 3
001111111 => 5
010000000 => -7
010000001 => -5
010000010 => -5
010000011 => -3
010000100 => -5
010000101 => -3
010000110 => -3
010000111 => -1
010001000 => -5
010001001 => -3
010001010 => -3
010001011 => -1
010001100 => -3
010001101 => -1
010001110 => -1
010001111 => 1
010010000 => -5
010010001 => -3
010010010 => -3
010010011 => -1
010010100 => -3
010010101 => -1
010010110 => -1
010010111 => 1
010011000 => -3
010011001 => -1
010011010 => -1
010011011 => 1
010011100 => -1
010011101 => 1
010011110 => 1
010011111 => 3
010100000 => -5
010100001 => -3
010100010 => -3
010100011 => -1
010100100 => -3
010100101 => -1
010100110 => -1
010100111 => 1
010101000 => -3
010101001 => -1
010101010 => -1
010101011 => 1
010101100 => -1
010101101 => 1
010101110 => 1
010101111 => 3
010110000 => -3
010110001 => -1
010110010 => -1
010110011 => 1
010110100 => -1
010110101 => 1
010110110 => 1
010110111 => 3
010111000 => -1
010111001 => 1
010111010 => 1
010111011 => 3
010111100 => 1
010111101 => 3
010111110 => 3
010111111 => 5
011000000 => -5
011000001 => -3
011000010 => -3
011000011 => -1
011000100 => -3
011000101 => -1
011000110 => -1
011000111 => 1
011001000 => -3
011001001 => -1
011001010 => -1
011001011 => 1
011001100 => -1
011001101 => 1
011001110 => 1
011001111 => 3
011010000 => -3
011010001 => -1
011010010 => -1
011010011 => 1
011010100 => -1
011010101 => 1
011010110 => 1
011010111 => 3
011011000 => -1
011011001 => 1
011011010 => 1
011011011 => 3
011011100 => 1
011011101 => 3
011011110 => 3
011011111 => 5
011100000 => -3
011100001 => -1
011100010 => -1
011100011 => 1
011100100 => -1
011100101 => 1
011100110 => 1
011100111 => 3
011101000 => -1
011101001 => 1
011101010 => 1
011101011 => 3
011101100 => 1
011101101 => 3
011101110 => 3
011101111 => 5
011110000 => -1
011110001 => 1
011110010 => 1
011110011 => 3
011110100 => 1
011110101 => 3
011110110 => 3
011110111 => 5
011111000 => 1
011111001 => 3
011111010 => 3
011111011 => 5
011111100 => 3
011111101 => 5
011111110 => 5
011111111 => 7
100000000 => -7
100000001 => -5
100000010 => -5
100000011 => -3
100000100 => -5
100000101 => -3
100000110 => -3
100000111 => -1
100001000 => -5
100001001 => -3
100001010 => -3
100001011 => -1
100001100 => -3
100001101 => -1
100001110 => -1
100001111 => 1
100010000 => -5
100010001 => -3
100010010 => -3
100010011 => -1
100010100 => -3
100010101 => -1
100010110 => -1
100010111 => 1
100011000 => -3
100011001 => -1
100011010 => -1
100011011 => 1
100011100 => -1
100011101 => 1
100011110 => 1
100011111 => 3
100100000 => -5
100100001 => -3
100100010 => -3
100100011 => -1
100100100 => -3
100100101 => -1
100100110 => -1
100100111 => 1
100101000 => -3
100101001 => -1
100101010 => -1
100101011 => 1
100101100 => -1
100101101 => 1
100101110 => 1
100101111 => 3
100110000 => -3
100110001 => -1
100110010 => -1
100110011 => 1
100110100 => -1
100110101 => 1
100110110 => 1
100110111 => 3
100111000 => -1
100111001 => 1
100111010 => 1
100111011 => 3
100111100 => 1
100111101 => 3
100111110 => 3
100111111 => 5
101000000 => -5
101000001 => -3
101000010 => -3
101000011 => -1
101000100 => -3
101000101 => -1
101000110 => -1
101000111 => 1
101001000 => -3
101001001 => -1
101001010 => -1
101001011 => 1
101001100 => -1
101001101 => 1
101001110 => 1
101001111 => 3
101010000 => -3
101010001 => -1
101010010 => -1
101010011 => 1
101010100 => -1
101010101 => 1
101010110 => 1
101010111 => 3
101011000 => -1
101011001 => 1
101011010 => 1
101011011 => 3
101011100 => 1
101011101 => 3
101011110 => 3
101011111 => 5
101100000 => -3
101100001 => -1
101100010 => -1
101100011 => 1
101100100 => -1
101100101 => 1
101100110 => 1
101100111 => 3
101101000 => -1
101101001 => 1
101101010 => 1
101101011 => 3
101101100 => 1
101101101 => 3
101101110 => 3
101101111 => 5
101110000 => -1
101110001 => 1
101110010 => 1
101110011 => 3
101110100 => 1
101110101 => 3
101110110 => 3
101110111 => 5
101111000 => 1
101111001 => 3
101111010 => 3
101111011 => 5
101111100 => 3
101111101 => 5
101111110 => 5
101111111 => 7
110000000 => -5
110000001 => -3
110000010 => -3
110000011 => -1
110000100 => -3
110000101 => -1
110000110 => -1
110000111 => 1
110001000 => -3
110001001 => -1
110001010 => -1
110001011 => 1
110001100 => -1
110001101 => 1
110001110 => 1
110001111 => 3
110010000 => -3
110010001 => -1
110010010 => -1
110010011 => 1
110010100 => -1
110010101 => 1
110010110 => 1
110010111 => 3
110011000 => -1
110011001 => 1
110011010 => 1
110011011 => 3
110011100 => 1
110011101 => 3
110011110 => 3
110011111 => 5
110100000 => -3
110100001 => -1
110100010 => -1
110100011 => 1
110100100 => -1
110100101 => 1
110100110 => 1
110100111 => 3
110101000 => -1
110101001 => 1
110101010 => 1
110101011 => 3
110101100 => 1
110101101 => 3
110101110 => 3
110101111 => 5
110110000 => -1
110110001 => 1
110110010 => 1
110110011 => 3
110110100 => 1
110110101 => 3
110110110 => 3
110110111 => 5
110111000 => 1
110111001 => 3
110111010 => 3
110111011 => 5
110111100 => 3
110111101 => 5
110111110 => 5
110111111 => 7
111000000 => -3
111000001 => -1
111000010 => -1
111000011 => 1
111000100 => -1
111000101 => 1
111000110 => 1
111000111 => 3
111001000 => -1
111001001 => 1
111001010 => 1
111001011 => 3
111001100 => 1
111001101 => 3
111001110 => 3
111001111 => 5
111010000 => -1
111010001 => 1
111010010 => 1
111010011 => 3
111010100 => 1
111010101 => 3
111010110 => 3
111010111 => 5
111011000 => 1
111011001 => 3
111011010 => 3
111011011 => 5
111011100 => 3
111011101 => 5
111011110 => 5
111011111 => 7
111100000 => -1
111100001 => 1
111100010 => 1
111100011 => 3
111100100 => 1
111100101 => 3
111100110 => 3
111100111 => 5
111101000 => 1
111101001 => 3
111101010 => 3
111101011 => 5
111101100 => 3
111101101 => 5
111101110 => 5
111101111 => 7
111110000 => 1
111110001 => 3
111110010 => 3
111110011 => 5
111110100 => 3
111110101 => 5
111110110 => 5
111110111 => 7
111111000 => 3
111111001 => 5
111111010 => 5
111111011 => 7
111111100 => 5
111111101 => 7
111111110 => 7
111111111 => 9
1010101010 => 0
1010101100 => 0
1010110010 => 0
1010110100 => 0
1010111000 => 0
1011001010 => 0
1011001100 => 0
1011010010 => 0
1011010100 => 0
1011011000 => 0
1011100010 => 0
1011100100 => 0
1011101000 => 0
1011110000 => 0
1100101010 => 0
1100101100 => 0
1100110010 => 0
1100110100 => 0
1100111000 => 0
1101001010 => 0
1101001100 => 0
1101010010 => 0
1101010100 => 0
1101011000 => 0
1101100010 => 0
1101100100 => 0
1101101000 => 0
1101110000 => 0
1110001010 => 0
1110001100 => 0
1110010010 => 0
1110010100 => 0
1110011000 => 0
1110100010 => 0
1110100100 => 0
1110101000 => 0
1110110000 => 0
1111000010 => 0
1111000100 => 0
1111001000 => 0
1111010000 => 0
1111100000 => 0
1111111110 => 8
1111111101 => 8
1111000001 => 0
1110111110 => 6
1110100001 => 0
1110011110 => 4
1110010001 => 0
1110001001 => 0
1110000101 => 0
1101111110 => 6
1101100001 => 0
1101010001 => 0
1101001110 => 2
1101001001 => 0
1101000101 => 0
1100110001 => 0
1100101001 => 0
1100100110 => 0
1100100101 => 0
1100011001 => 0
1100010101 => 0
1100010010 => -2
1100001000 => -4
1011111110 => 6
1011111101 => 6
1011100001 => 0
1011010001 => 0
1011001001 => 0
1011000101 => 0
1010111110 => 4
1010110001 => 0
1010101001 => 0
1010100110 => 0
1010100101 => 0
1010011010 => 0
1010011001 => 0
1010010110 => 0
1010010101 => 0
1010001110 => 0
1001111110 => 4
1001111000 => 0
1001110100 => 0
1001110001 => 0
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1011111100010000 => 0
1011111100100000 => 0
1011111101000000 => 0
1011111110000000 => 0
1111011100000010 => 0
1111101010000010 => 0
1111101100000010 => 0
1111110001000010 => 0
1111110010000010 => 0
1111110100000010 => 0
1111111000000010 => 0
111111110000000010 => 0
101111111100000000 => 0
111111101000000010 => 0
101111111010000000 => 0
111111100100000010 => 0
111111011000000010 => 0
101111111001000000 => 0
101111110110000000 => 0
11111111100000000010 => 0
10111111111000000000 => 0
11111111010000000010 => 0
10111111110100000000 => 0
1111111111000000000010 => 0
1011111111110000000000 => 0
click to show generating function       
Description
The number of ones minus the number of zeros of a binary word.
Code
def statistic(w):
    return w.count(1)-w.count(0)
Created
Jul 02, 2017 at 22:36 by Martin Rubey
Updated
Dec 28, 2017 at 15:24 by Martin Rubey