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

Created
Jun 12, 2019 at 08:58 by Martin Rubey
Updated
Jun 12, 2019 at 08:58 by Martin Rubey