- FindStat

Identifier

St001420: Binary words ⟶ ℤ

Values

0 => 0

1 => 0

00 => 0

01 => 1

10 => 1

11 => 0

000 => 0

001 => 1

010 => 1

011 => 1

100 => 1

101 => 1

110 => 1

111 => 0

0000 => 0

0001 => 1

0010 => 1

0011 => 2

0100 => 1

0101 => 2

0110 => 1

0111 => 1

1000 => 1

1001 => 1

1010 => 2

1011 => 1

1100 => 2

1101 => 1

1110 => 1

1111 => 0

00000 => 0

00001 => 1

00010 => 1

00011 => 2

00100 => 1

00101 => 2

00110 => 2

00111 => 2

01000 => 1

01001 => 1

01010 => 2

01011 => 2

01100 => 2

01101 => 1

01110 => 1

01111 => 1

10000 => 1

10001 => 1

10010 => 1

10011 => 2

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 => 1

000010 => 1

000011 => 2

000100 => 1

000101 => 2

000110 => 2

000111 => 3

001000 => 1

001001 => 1

001010 => 2

001011 => 3

001100 => 2

001101 => 2

001110 => 2

001111 => 2

010000 => 1

010001 => 1

010010 => 1

010011 => 2

010100 => 2

010101 => 3

010110 => 2

010111 => 2

011000 => 2

011001 => 3

011010 => 2

011011 => 1

011100 => 2

011101 => 1

011110 => 1

011111 => 1

100000 => 1

100001 => 1

100010 => 1

100011 => 2

100100 => 1

100101 => 2

100110 => 3

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Description

Half the length of a longest factor which is its own reverse-complement 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 all(w[a+i] == 1-w[a+l-i] for i in range(l)))

Created

Jun 12, 2019 at 07:02 by Martin Rubey

Updated

Jun 12, 2019 at 07:02 by Martin Rubey