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Identifier
Values
=>
0=>2 1=>2 00=>3 01=>4 10=>4 11=>3 000=>4 001=>6 010=>6 011=>6 100=>6 101=>6 110=>6 111=>4 0000=>5 0001=>8 0010=>9 0011=>9 0100=>9 0101=>8 0110=>9 0111=>8 1000=>8 1001=>9 1010=>8 1011=>9 1100=>9 1101=>9 1110=>8 1111=>5 00000=>6 00001=>10 00010=>12 00011=>12 00100=>12 00101=>12 00110=>13 00111=>12 01000=>12 01001=>12 01010=>10 01011=>12 01100=>13 01101=>12 01110=>12 01111=>10 10000=>10 10001=>12 10010=>12 10011=>13 10100=>12 10101=>10 10110=>12 10111=>12 11000=>12 11001=>13 11010=>12 11011=>12 11100=>12 11101=>12 11110=>10 11111=>6 000000=>7 000001=>12 000010=>15 000011=>15 000100=>16 000101=>16 000110=>17 000111=>16 001000=>16 001001=>15 001010=>15 001011=>17 001100=>17 001101=>17 001110=>17 001111=>15 010000=>15 010001=>16 010010=>15 010011=>17 010100=>15 010101=>12 010110=>16 010111=>16 011000=>17 011001=>17 011010=>16 011011=>15 011100=>17 011101=>16 011110=>15 011111=>12 100000=>12 100001=>15 100010=>16 100011=>17 100100=>15 100101=>16 100110=>17 100111=>17 101000=>16 101001=>16 101010=>12 101011=>15 101100=>17 101101=>15 101110=>16 101111=>15 110000=>15 110001=>17 110010=>17 110011=>17 110100=>17 110101=>15 110110=>15 110111=>16 111000=>16 111001=>17 111010=>16 111011=>16 111100=>15 111101=>15 111110=>12 111111=>7 0000000=>8 0000001=>14 0000010=>18 0000011=>18 0000100=>20 0000101=>20 0000110=>21 0000111=>20 0001000=>20 0001001=>20 0001010=>20 0001011=>22 0001100=>22 0001101=>22 0001110=>22 0001111=>20 0010000=>20 0010001=>20 0010010=>18 0010011=>21 0010100=>20 0010101=>18 0010110=>22 0010111=>22 0011000=>22 0011001=>21 0011010=>22 0011011=>21 0011100=>22 0011101=>22 0011110=>21 0011111=>18 0100000=>18 0100001=>20 0100010=>20 0100011=>22 0100100=>18 0100101=>20 0100110=>22 0100111=>22 0101000=>20 0101001=>20 0101010=>14 0101011=>18 0101100=>22 0101101=>20 0101110=>21 0101111=>20 0110000=>21 0110001=>22 0110010=>22 0110011=>21 0110100=>22 0110101=>20 0110110=>18 0110111=>20 0111000=>22 0111001=>22 0111010=>21 0111011=>20 0111100=>21 0111101=>20 0111110=>18 0111111=>14 1000000=>14 1000001=>18 1000010=>20 1000011=>21 1000100=>20 1000101=>21 1000110=>22 1000111=>22 1001000=>20 1001001=>18 1001010=>20 1001011=>22 1001100=>21 1001101=>22 1001110=>22 1001111=>21 1010000=>20 1010001=>21 1010010=>20 1010011=>22 1010100=>18 1010101=>14 1010110=>20 1010111=>20 1011000=>22 1011001=>22 1011010=>20 1011011=>18 1011100=>22 1011101=>20 1011110=>20 1011111=>18 1100000=>18 1100001=>21 1100010=>22 1100011=>22 1100100=>21 1100101=>22 1100110=>21 1100111=>22 1101000=>22 1101001=>22 1101010=>18 1101011=>20 1101100=>21 1101101=>18 1101110=>20 1101111=>20 1110000=>20 1110001=>22 1110010=>22 1110011=>22 1110100=>22 1110101=>20 1110110=>20 1110111=>20 1111000=>20 1111001=>21 1111010=>20 1111011=>20 1111100=>18 1111101=>18 1111110=>14 1111111=>8 00000000=>9 00000001=>16 00000010=>21 00000011=>21 00000100=>24 00000101=>24 00000110=>25 00000111=>24 00001000=>25 00001001=>25 00001010=>25 00001011=>27 00001100=>27 00001101=>27 00001110=>27 00001111=>25 00010000=>25 00010001=>24 00010010=>24 00010011=>27 00010100=>26 00010101=>24 00010110=>28 00010111=>28 00011000=>27 00011001=>27 00011010=>28 00011011=>27 00011100=>28 00011101=>28 00011110=>27 00011111=>24 00100000=>24 00100001=>25 00100010=>24 00100011=>27 00100100=>21 00100101=>24 00100110=>27 00100111=>27 00101000=>26 00101001=>25 00101010=>21 00101011=>25 00101100=>28 00101101=>27 00101110=>28 00101111=>27 00110000=>27 00110001=>27 00110010=>27 00110011=>25 00110100=>28 00110101=>27 00110110=>25 00110111=>27 00111000=>28 00111001=>27 00111010=>28 00111011=>27 00111100=>27 00111101=>27 00111110=>25 00111111=>21 01000000=>21 01000001=>24 01000010=>25 01000011=>27 01000100=>24 01000101=>26 01000110=>28 01000111=>28 01001000=>24 01001001=>21 01001010=>25 01001011=>27 01001100=>27 01001101=>28 01001110=>28 01001111=>27 01010000=>25 01010001=>26 01010010=>25 01010011=>27 01010100=>21 01010101=>16 01010110=>24 01010111=>24 01011000=>28 01011001=>28 01011010=>25 01011011=>24 01011100=>28 01011101=>26 01011110=>26 01011111=>24 01100000=>25 01100001=>27 01100010=>28 01100011=>27 01100100=>27 01100101=>28 01100110=>25 01100111=>27 01101000=>28 01101001=>28 01101010=>24 01101011=>25 01101100=>25 01101101=>21 01101110=>25 01101111=>25 01110000=>27 01110001=>28 01110010=>28 01110011=>27 01110100=>28 01110101=>26 01110110=>25 01110111=>24 01111000=>27 01111001=>27 01111010=>26 01111011=>25 01111100=>25 01111101=>24 01111110=>21 01111111=>16 10000000=>16 10000001=>21 10000010=>24 10000011=>25 10000100=>25 10000101=>26 10000110=>27 10000111=>27 10001000=>24 10001001=>25 10001010=>26 10001011=>28 10001100=>27 10001101=>28 10001110=>28 10001111=>27 10010000=>25 10010001=>25 10010010=>21 10010011=>25 10010100=>25 10010101=>24 10010110=>28 10010111=>28 10011000=>27 10011001=>25 10011010=>28 10011011=>27 10011100=>27 10011101=>28 10011110=>27 10011111=>25 10100000=>24 10100001=>26 10100010=>26 10100011=>28 10100100=>24 10100101=>25 10100110=>28 10100111=>28 10101000=>24 10101001=>24 10101010=>16 10101011=>21 10101100=>27 10101101=>25 10101110=>26 10101111=>25 10110000=>27 10110001=>28 10110010=>28 10110011=>27 10110100=>27 10110101=>25 10110110=>21 10110111=>24 10111000=>28 10111001=>28 10111010=>26 10111011=>24 10111100=>27 10111101=>25 10111110=>24 10111111=>21 11000000=>21 11000001=>25 11000010=>27 11000011=>27 11000100=>27 11000101=>28 11000110=>27 11000111=>28 11001000=>27 11001001=>25 11001010=>27 11001011=>28 11001100=>25 11001101=>27 11001110=>27 11001111=>27 11010000=>27 11010001=>28 11010010=>27 11010011=>28 11010100=>25 11010101=>21 11010110=>25 11010111=>26 11011000=>27 11011001=>27 11011010=>24 11011011=>21 11011100=>27 11011101=>24 11011110=>25 11011111=>24 11100000=>24 11100001=>27 11100010=>28 11100011=>28 11100100=>27 11100101=>28 11100110=>27 11100111=>27 11101000=>28 11101001=>28 11101010=>24 11101011=>26 11101100=>27 11101101=>24 11101110=>24 11101111=>25 11110000=>25 11110001=>27 11110010=>27 11110011=>27 11110100=>27 11110101=>25 11110110=>25 11110111=>25 11111000=>24 11111001=>25 11111010=>24 11111011=>24 11111100=>21 11111101=>21 11111110=>16 11111111=>9 000000000=>10 000000001=>18 000000010=>24 000000011=>24 000000100=>28 000000101=>28 000000110=>29 000000111=>28 000001000=>30 000001001=>30 000001010=>30 000001011=>32 000001100=>32 000001101=>32 000001110=>32 000001111=>30 000010000=>30 000010001=>30 000010010=>30 000010011=>33 000010100=>32 000010101=>30 000010110=>34 000010111=>34 000011000=>33 000011001=>33 000011010=>34 000011011=>33 000011100=>34 000011101=>34 000011110=>33 000011111=>30 000100000=>30 000100001=>30 000100010=>28 000100011=>32 000100100=>28 000100101=>31 000100110=>34 000100111=>34 000101000=>32 000101001=>32 000101010=>28 000101011=>32 000101100=>35 000101101=>34 000101110=>35 000101111=>34 000110000=>33 000110001=>32 000110010=>34 000110011=>32 000110100=>35 000110101=>34 000110110=>32 000110111=>34 000111000=>34 000111001=>34 000111010=>35 000111011=>34 000111100=>34 000111101=>34 000111110=>32 000111111=>28 001000000=>28 001000001=>30 001000010=>30 001000011=>33 001000100=>28 001000101=>31 001000110=>34 001000111=>34 001001000=>28 001001001=>24 001001010=>30 001001011=>32 001001100=>33 001001101=>34 001001110=>34 001001111=>33 001010000=>32 001010001=>32 001010010=>30 001010011=>33 001010100=>28 001010101=>24 001010110=>32 001010111=>32 001011000=>35 001011001=>34 001011010=>33 001011011=>32 001011100=>35 001011101=>34 001011110=>34 001011111=>32 001100000=>32 001100001=>33 001100010=>34 001100011=>32 001100100=>33 001100101=>34 001100110=>29 001100111=>32 001101000=>35 001101001=>34 001101010=>32 001101011=>33 001101100=>32 001101101=>29 001101110=>33 001101111=>33 001110000=>34 001110001=>34 001110010=>34 001110011=>32 001110100=>35 001110101=>34 001110110=>33 001110111=>32 001111000=>34 001111001=>33 001111010=>34 001111011=>33 001111100=>32 001111101=>32 001111110=>29 001111111=>24 010000000=>24 010000001=>28 010000010=>30 010000011=>32 010000100=>30 010000101=>32 010000110=>34 010000111=>34 010001000=>28 010001001=>30 010001010=>32 010001011=>34 010001100=>34 010001101=>35 010001110=>35 010001111=>34 010010000=>30 010010001=>30 010010010=>24 010010011=>29 010010100=>30 010010101=>30 010010110=>34 010010111=>34 010011000=>34 010011001=>32 010011010=>34 010011011=>34 010011100=>34 010011101=>35 010011110=>34 010011111=>32 010100000=>30 010100001=>32 010100010=>32 010100011=>34 010100100=>30 010100101=>30 010100110=>34 010100111=>34 010101000=>28 010101001=>28 010101010=>18 010101011=>24 010101100=>32 010101101=>30 010101110=>31 010101111=>30 010110000=>34 010110001=>35 010110010=>34 010110011=>34 010110100=>33 010110101=>30 010110110=>28 010110111=>31 010111000=>35 010111001=>35 010111010=>32 010111011=>31 010111100=>34 010111101=>32 010111110=>31 010111111=>28 011000000=>29 011000001=>32 011000010=>34 011000011=>33 011000100=>34 011000101=>35 011000110=>32 011000111=>34 011001000=>34 011001001=>32 011001010=>34 011001011=>34 011001100=>29 011001101=>32 011001110=>33 011001111=>33 011010000=>34 011010001=>35 011010010=>34 011010011=>34 011010100=>32 011010101=>28 011010110=>30 011010111=>32 011011000=>32 011011001=>32 011011010=>28 011011011=>24 011011100=>33 011011101=>30 011011110=>31 011011111=>30 011100000=>32 011100001=>34 011100010=>35 011100011=>34 011100100=>34 011100101=>35 011100110=>33 011100111=>32 011101000=>35 011101001=>35 011101010=>31 011101011=>32 011101100=>33 011101101=>30 011101110=>28 011101111=>30 011110000=>33 011110001=>34 011110010=>34 011110011=>33 011110100=>34 011110101=>32 011110110=>31 011110111=>30 011111000=>32 011111001=>32 011111010=>31 011111011=>30 011111100=>29 011111101=>28 011111110=>24 011111111=>18 100000000=>18 100000001=>24 100000010=>28 100000011=>29 100000100=>30 100000101=>31 100000110=>32 100000111=>32 100001000=>30 100001001=>31 100001010=>32 100001011=>34 100001100=>33 100001101=>34 100001110=>34 100001111=>33 100010000=>30 100010001=>28 100010010=>30 100010011=>33 100010100=>32 100010101=>31 100010110=>35 100010111=>35 100011000=>32 100011001=>33 100011010=>35 100011011=>34 100011100=>34 100011101=>35 100011110=>34 100011111=>32 100100000=>30 100100001=>31 100100010=>30 100100011=>33 100100100=>24 100100101=>28 100100110=>32 100100111=>32 100101000=>32 100101001=>30 100101010=>28 100101011=>32 100101100=>34 100101101=>34 100101110=>35 100101111=>34 100110000=>33 100110001=>33 100110010=>32 100110011=>29 100110100=>34 100110101=>34 100110110=>32 100110111=>34 100111000=>34 100111001=>32 100111010=>35 100111011=>34 100111100=>33 100111101=>34 100111110=>32 100111111=>29 101000000=>28 101000001=>31 101000010=>32 101000011=>34 101000100=>31 101000101=>32 101000110=>35 101000111=>35 101001000=>31 101001001=>28 101001010=>30 101001011=>33 101001100=>34 101001101=>34 101001110=>35 101001111=>34 101010000=>30 101010001=>31 101010010=>30 101010011=>32 101010100=>24 101010101=>18 101010110=>28 101010111=>28 101011000=>34 101011001=>34 101011010=>30 101011011=>30 101011100=>34 101011101=>32 101011110=>32 101011111=>30 101100000=>32 101100001=>34 101100010=>35 101100011=>34 101100100=>34 101100101=>34 101100110=>32 101100111=>34 101101000=>34 101101001=>34 101101010=>30 101101011=>30 101101100=>29 101101101=>24 101101110=>30 101101111=>30 101110000=>34 101110001=>35 101110010=>35 101110011=>34 101110100=>34 101110101=>32 101110110=>30 101110111=>28 101111000=>34 101111001=>34 101111010=>32 101111011=>30 101111100=>32 101111101=>30 101111110=>28 101111111=>24 110000000=>24 110000001=>29 110000010=>32 110000011=>32 110000100=>33 110000101=>34 110000110=>33 110000111=>34 110001000=>32 110001001=>33 110001010=>34 110001011=>35 110001100=>32 110001101=>34 110001110=>34 110001111=>34 110010000=>33 110010001=>33 110010010=>29 110010011=>32 110010100=>33 110010101=>32 110010110=>34 110010111=>35 110011000=>32 110011001=>29 110011010=>34 110011011=>33 110011100=>32 110011101=>34 110011110=>33 110011111=>32 110100000=>32 110100001=>34 110100010=>34 110100011=>35 110100100=>32 110100101=>33 110100110=>34 110100111=>35 110101000=>32 110101001=>32 110101010=>24 110101011=>28 110101100=>33 110101101=>30 110101110=>32 110101111=>32 110110000=>33 110110001=>34 110110010=>34 110110011=>33 110110100=>32 110110101=>30 110110110=>24 110110111=>28 110111000=>34 110111001=>34 110111010=>31 110111011=>28 110111100=>33 110111101=>30 110111110=>30 110111111=>28 111000000=>28 111000001=>32 111000010=>34 111000011=>34 111000100=>34 111000101=>35 111000110=>34 111000111=>34 111001000=>34 111001001=>32 111001010=>34 111001011=>35 111001100=>32 111001101=>34 111001110=>32 111001111=>33 111010000=>34 111010001=>35 111010010=>34 111010011=>35 111010100=>32 111010101=>28 111010110=>32 111010111=>32 111011000=>34 111011001=>34 111011010=>31 111011011=>28 111011100=>32 111011101=>28 111011110=>30 111011111=>30 111100000=>30 111100001=>33 111100010=>34 111100011=>34 111100100=>33 111100101=>34 111100110=>33 111100111=>33 111101000=>34 111101001=>34 111101010=>30 111101011=>32 111101100=>33 111101101=>30 111101110=>30 111101111=>30 111110000=>30 111110001=>32 111110010=>32 111110011=>32 111110100=>32 111110101=>30 111110110=>30 111110111=>30 111111000=>28 111111001=>29 111111010=>28 111111011=>28 111111100=>24 111111101=>24 111111110=>18 111111111=>10 0000111110=>39 0001111010=>42 0001111100=>40 0001110110=>41 0001101110=>41 0000011111=>36 0000110111=>41 0000101111=>41 0000111011=>41 0001101011=>41 0001011011=>40 0001100111=>40 0001001111=>41 0001010111=>40 0000111101=>41 0001101101=>37 0001011101=>42 0001110101=>42 0010001111=>41 0010101101=>39 0001110011=>40 0010011101=>42 0010100111=>41 0010011011=>41 0010010111=>40 0010101011=>33 0001011110=>42 0010101110=>40 0010011110=>41 0001111001=>41 0010110001=>42 0000111111=>35 0000111001=>41 0000100111=>41 0010100101=>35 0000100001=>35 0001101111=>41 0000101101=>41 0001101001=>42 0000000000=>11 0001100000=>39 0000011000=>39 0001111000=>41 0001001000=>35 0000000110=>33 0001100110=>37 0000011110=>39 0001111110=>37 0001001110=>42 0000010010=>36 0001110010=>42 0001000010=>35 0001011010=>41 0000001100=>37 0000110000=>39 0000111100=>41 0000100100=>35 0010010000=>35 0010011100=>41 0010000100=>35 0000000011=>27 0000001111=>35 0000001001=>35 0000110011=>39 0010010011=>33 0010011111=>39 0010011001=>39 0010000111=>41 0010000001=>35 0010001101=>42 0001111101=>40 0001110111=>40 0000011101=>40 0001010101=>32 0001011111=>40 0000010111=>40 0000000101=>32 0010010101=>36 0000110101=>41 0000011011=>39 0001100011=>37 0001111011=>41 0001001011=>40 0000000010=>27 0000000001=>20 0000001101=>37 0000010101=>36 0010001100=>41 0001000011=>39 0010000010=>36 0001000001=>36 0001100001=>39 0000000100=>32 0001010001=>38 0000110001=>39 0000010001=>36 0010101010=>27 0010101000=>36 0010101100=>40 0010100100=>36 0010010100=>36 0001010100=>36 0010100000=>38 0000010100=>38 0000111010=>42 0000011010=>40 0000001010=>35 0000101010=>35 0000101000=>39 0000010011=>39 0010000000=>32 0001101010=>40 0001001010=>38 0001010010=>38 0001010110=>40 0001010000=>39 0000000111=>32 0000001011=>37 0001011001=>42 0010001110=>42 0010000011=>39 0010100001=>39 0010010001=>35 0010001000=>32 0001100101=>42 0001000110=>40 0010100011=>41 0010000110=>41 0010100010=>38 0001000101=>36 0010001001=>35 0000001000=>35 0000100011=>39 0010011010=>41 0010001010=>38 0010000101=>38 0000100010=>35 0001100010=>40 0000110110=>39 0000111000=>41 0001110100=>43 0000110100=>42 0010101111=>39 0001110000=>41 0010110000=>42 0000100110=>41 0001000111=>40 0000011001=>39 0001000000=>35 0000101011=>39 0000101001=>39 0000100101=>38 0000101100=>42 0000011100=>40 0001000100=>32 0001001001=>32 0001111111=>32 0010010010=>27 0001011100=>43 0010010110=>40 0000010000=>36 0010011000=>41 0001011000=>42 0001001100=>41 0001110001=>40 0001001101=>42 0010101001=>35 0001101100=>40 0000101110=>42 0010100110=>41 0000100000=>36 0010001011=>40 0000001110=>37 0000010110=>40 0001010011=>41 0001101000=>42 0001100100=>41 0000110010=>41
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Description
The number of distinct factors of a binary word.
This is also known as the subword complexity of a binary word, see [1].
Code
def statistic(x):
    return x.number_of_factors()

Created
Nov 19, 2015 at 12:16 by Martin Rubey
Updated
Jun 03, 2016 at 11:21 by Martin Rubey