*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000296
-----------------------------------------------------------------------------
Collection: Binary words
-----------------------------------------------------------------------------
Description: The length of the symmetric border of a binary word.
The symmetric border of a word is the longest word which is a prefix and its reverse is a suffix.
The statistic value is equal to the length of the word if and only if the word is [[https://en.wikipedia.org/wiki/Palindrome|palindromic]].
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(word):
value = 0
n = len(word)
while value <= n and list(word[:value]) == list(reversed(word[n-value:])):
value += 1
return value - 1
-----------------------------------------------------------------------------
Statistic values:
0 => 1
1 => 1
00 => 2
01 => 0
10 => 0
11 => 2
000 => 3
001 => 0
010 => 3
011 => 0
100 => 0
101 => 3
110 => 0
111 => 3
0000 => 4
0001 => 0
0010 => 1
0011 => 0
0100 => 1
0101 => 0
0110 => 4
0111 => 0
1000 => 0
1001 => 4
1010 => 0
1011 => 1
1100 => 0
1101 => 1
1110 => 0
1111 => 4
00000 => 5
00001 => 0
00010 => 1
00011 => 0
00100 => 5
00101 => 0
00110 => 1
00111 => 0
01000 => 1
01001 => 0
01010 => 5
01011 => 0
01100 => 1
01101 => 0
01110 => 5
01111 => 0
10000 => 0
10001 => 5
10010 => 0
10011 => 1
10100 => 0
10101 => 5
10110 => 0
10111 => 1
11000 => 0
11001 => 1
11010 => 0
11011 => 5
11100 => 0
11101 => 1
11110 => 0
11111 => 5
000000 => 6
000001 => 0
000010 => 1
000011 => 0
000100 => 2
000101 => 0
000110 => 1
000111 => 0
001000 => 2
001001 => 0
001010 => 1
001011 => 0
001100 => 6
001101 => 0
001110 => 1
001111 => 0
010000 => 1
010001 => 0
010010 => 6
010011 => 0
010100 => 1
010101 => 0
010110 => 2
010111 => 0
011000 => 1
011001 => 0
011010 => 2
011011 => 0
011100 => 1
011101 => 0
011110 => 6
011111 => 0
100000 => 0
100001 => 6
100010 => 0
100011 => 1
100100 => 0
100101 => 2
100110 => 0
100111 => 1
101000 => 0
101001 => 2
101010 => 0
101011 => 1
101100 => 0
101101 => 6
101110 => 0
101111 => 1
110000 => 0
110001 => 1
110010 => 0
110011 => 6
110100 => 0
110101 => 1
110110 => 0
110111 => 2
111000 => 0
111001 => 1
111010 => 0
111011 => 2
111100 => 0
111101 => 1
111110 => 0
111111 => 6
0000000 => 7
0000001 => 0
0000010 => 1
0000011 => 0
0000100 => 2
0000101 => 0
0000110 => 1
0000111 => 0
0001000 => 7
0001001 => 0
0001010 => 1
0001011 => 0
0001100 => 2
0001101 => 0
0001110 => 1
0001111 => 0
0010000 => 2
0010001 => 0
0010010 => 1
0010011 => 0
0010100 => 7
0010101 => 0
0010110 => 1
0010111 => 0
0011000 => 2
0011001 => 0
0011010 => 1
0011011 => 0
0011100 => 7
0011101 => 0
0011110 => 1
0011111 => 0
0100000 => 1
0100001 => 0
0100010 => 7
0100011 => 0
0100100 => 1
0100101 => 0
0100110 => 2
0100111 => 0
0101000 => 1
0101001 => 0
0101010 => 7
0101011 => 0
0101100 => 1
0101101 => 0
0101110 => 2
0101111 => 0
0110000 => 1
0110001 => 0
0110010 => 2
0110011 => 0
0110100 => 1
0110101 => 0
0110110 => 7
0110111 => 0
0111000 => 1
0111001 => 0
0111010 => 2
0111011 => 0
0111100 => 1
0111101 => 0
0111110 => 7
0111111 => 0
1000000 => 0
1000001 => 7
1000010 => 0
1000011 => 1
1000100 => 0
1000101 => 2
1000110 => 0
1000111 => 1
1001000 => 0
1001001 => 7
1001010 => 0
1001011 => 1
1001100 => 0
1001101 => 2
1001110 => 0
1001111 => 1
1010000 => 0
1010001 => 2
1010010 => 0
1010011 => 1
1010100 => 0
1010101 => 7
1010110 => 0
1010111 => 1
1011000 => 0
1011001 => 2
1011010 => 0
1011011 => 1
1011100 => 0
1011101 => 7
1011110 => 0
1011111 => 1
1100000 => 0
1100001 => 1
1100010 => 0
1100011 => 7
1100100 => 0
1100101 => 1
1100110 => 0
1100111 => 2
1101000 => 0
1101001 => 1
1101010 => 0
1101011 => 7
1101100 => 0
1101101 => 1
1101110 => 0
1101111 => 2
1110000 => 0
1110001 => 1
1110010 => 0
1110011 => 2
1110100 => 0
1110101 => 1
1110110 => 0
1110111 => 7
1111000 => 0
1111001 => 1
1111010 => 0
1111011 => 2
1111100 => 0
1111101 => 1
1111110 => 0
1111111 => 7
00000000 => 8
00000001 => 0
00000010 => 1
00000011 => 0
00000100 => 2
00000101 => 0
00000110 => 1
00000111 => 0
00001000 => 3
00001001 => 0
00001010 => 1
00001011 => 0
00001100 => 2
00001101 => 0
00001110 => 1
00001111 => 0
00010000 => 3
00010001 => 0
00010010 => 1
00010011 => 0
00010100 => 2
00010101 => 0
00010110 => 1
00010111 => 0
00011000 => 8
00011001 => 0
00011010 => 1
00011011 => 0
00011100 => 2
00011101 => 0
00011110 => 1
00011111 => 0
00100000 => 2
00100001 => 0
00100010 => 1
00100011 => 0
00100100 => 8
00100101 => 0
00100110 => 1
00100111 => 0
00101000 => 2
00101001 => 0
00101010 => 1
00101011 => 0
00101100 => 3
00101101 => 0
00101110 => 1
00101111 => 0
00110000 => 2
00110001 => 0
00110010 => 1
00110011 => 0
00110100 => 3
00110101 => 0
00110110 => 1
00110111 => 0
00111000 => 2
00111001 => 0
00111010 => 1
00111011 => 0
00111100 => 8
00111101 => 0
00111110 => 1
00111111 => 0
01000000 => 1
01000001 => 0
01000010 => 8
01000011 => 0
01000100 => 1
01000101 => 0
01000110 => 2
01000111 => 0
01001000 => 1
01001001 => 0
01001010 => 3
01001011 => 0
01001100 => 1
01001101 => 0
01001110 => 2
01001111 => 0
01010000 => 1
01010001 => 0
01010010 => 3
01010011 => 0
01010100 => 1
01010101 => 0
01010110 => 2
01010111 => 0
01011000 => 1
01011001 => 0
01011010 => 8
01011011 => 0
01011100 => 1
01011101 => 0
01011110 => 2
01011111 => 0
01100000 => 1
01100001 => 0
01100010 => 2
01100011 => 0
01100100 => 1
01100101 => 0
01100110 => 8
01100111 => 0
01101000 => 1
01101001 => 0
01101010 => 2
01101011 => 0
01101100 => 1
01101101 => 0
01101110 => 3
01101111 => 0
01110000 => 1
01110001 => 0
01110010 => 2
01110011 => 0
01110100 => 1
01110101 => 0
01110110 => 3
01110111 => 0
01111000 => 1
01111001 => 0
01111010 => 2
01111011 => 0
01111100 => 1
01111101 => 0
01111110 => 8
01111111 => 0
10000000 => 0
10000001 => 8
10000010 => 0
10000011 => 1
10000100 => 0
10000101 => 2
10000110 => 0
10000111 => 1
10001000 => 0
10001001 => 3
10001010 => 0
10001011 => 1
10001100 => 0
10001101 => 2
10001110 => 0
10001111 => 1
10010000 => 0
10010001 => 3
10010010 => 0
10010011 => 1
10010100 => 0
10010101 => 2
10010110 => 0
10010111 => 1
10011000 => 0
10011001 => 8
10011010 => 0
10011011 => 1
10011100 => 0
10011101 => 2
10011110 => 0
10011111 => 1
10100000 => 0
10100001 => 2
10100010 => 0
10100011 => 1
10100100 => 0
10100101 => 8
10100110 => 0
10100111 => 1
10101000 => 0
10101001 => 2
10101010 => 0
10101011 => 1
10101100 => 0
10101101 => 3
10101110 => 0
10101111 => 1
10110000 => 0
10110001 => 2
10110010 => 0
10110011 => 1
10110100 => 0
10110101 => 3
10110110 => 0
10110111 => 1
10111000 => 0
10111001 => 2
10111010 => 0
10111011 => 1
10111100 => 0
10111101 => 8
10111110 => 0
10111111 => 1
11000000 => 0
11000001 => 1
11000010 => 0
11000011 => 8
11000100 => 0
11000101 => 1
11000110 => 0
11000111 => 2
11001000 => 0
11001001 => 1
11001010 => 0
11001011 => 3
11001100 => 0
11001101 => 1
11001110 => 0
11001111 => 2
11010000 => 0
11010001 => 1
11010010 => 0
11010011 => 3
11010100 => 0
11010101 => 1
11010110 => 0
11010111 => 2
11011000 => 0
11011001 => 1
11011010 => 0
11011011 => 8
11011100 => 0
11011101 => 1
11011110 => 0
11011111 => 2
11100000 => 0
11100001 => 1
11100010 => 0
11100011 => 2
11100100 => 0
11100101 => 1
11100110 => 0
11100111 => 8
11101000 => 0
11101001 => 1
11101010 => 0
11101011 => 2
11101100 => 0
11101101 => 1
11101110 => 0
11101111 => 3
11110000 => 0
11110001 => 1
11110010 => 0
11110011 => 2
11110100 => 0
11110101 => 1
11110110 => 0
11110111 => 3
11111000 => 0
11111001 => 1
11111010 => 0
11111011 => 2
11111100 => 0
11111101 => 1
11111110 => 0
11111111 => 8
000000000 => 9
000000001 => 0
000000010 => 1
000000011 => 0
000000100 => 2
000000101 => 0
000000110 => 1
000000111 => 0
000001000 => 3
000001001 => 0
000001010 => 1
000001011 => 0
000001100 => 2
000001101 => 0
000001110 => 1
000001111 => 0
000010000 => 9
000010001 => 0
000010010 => 1
000010011 => 0
000010100 => 2
000010101 => 0
000010110 => 1
000010111 => 0
000011000 => 3
000011001 => 0
000011010 => 1
000011011 => 0
000011100 => 2
000011101 => 0
000011110 => 1
000011111 => 0
000100000 => 3
000100001 => 0
000100010 => 1
000100011 => 0
000100100 => 2
000100101 => 0
000100110 => 1
000100111 => 0
000101000 => 9
000101001 => 0
000101010 => 1
000101011 => 0
000101100 => 2
000101101 => 0
000101110 => 1
000101111 => 0
000110000 => 3
000110001 => 0
000110010 => 1
000110011 => 0
000110100 => 2
000110101 => 0
000110110 => 1
000110111 => 0
000111000 => 9
000111001 => 0
000111010 => 1
000111011 => 0
000111100 => 2
000111101 => 0
000111110 => 1
000111111 => 0
001000000 => 2
001000001 => 0
001000010 => 1
001000011 => 0
001000100 => 9
001000101 => 0
001000110 => 1
001000111 => 0
001001000 => 2
001001001 => 0
001001010 => 1
001001011 => 0
001001100 => 3
001001101 => 0
001001110 => 1
001001111 => 0
001010000 => 2
001010001 => 0
001010010 => 1
001010011 => 0
001010100 => 9
001010101 => 0
001010110 => 1
001010111 => 0
001011000 => 2
001011001 => 0
001011010 => 1
001011011 => 0
001011100 => 3
001011101 => 0
001011110 => 1
001011111 => 0
001100000 => 2
001100001 => 0
001100010 => 1
001100011 => 0
001100100 => 3
001100101 => 0
001100110 => 1
001100111 => 0
001101000 => 2
001101001 => 0
001101010 => 1
001101011 => 0
001101100 => 9
001101101 => 0
001101110 => 1
001101111 => 0
001110000 => 2
001110001 => 0
001110010 => 1
001110011 => 0
001110100 => 3
001110101 => 0
001110110 => 1
001110111 => 0
001111000 => 2
001111001 => 0
001111010 => 1
001111011 => 0
001111100 => 9
001111101 => 0
001111110 => 1
001111111 => 0
010000000 => 1
010000001 => 0
010000010 => 9
010000011 => 0
010000100 => 1
010000101 => 0
010000110 => 2
010000111 => 0
010001000 => 1
010001001 => 0
010001010 => 3
010001011 => 0
010001100 => 1
010001101 => 0
010001110 => 2
010001111 => 0
010010000 => 1
010010001 => 0
010010010 => 9
010010011 => 0
010010100 => 1
010010101 => 0
010010110 => 2
010010111 => 0
010011000 => 1
010011001 => 0
010011010 => 3
010011011 => 0
010011100 => 1
010011101 => 0
010011110 => 2
010011111 => 0
010100000 => 1
010100001 => 0
010100010 => 3
010100011 => 0
010100100 => 1
010100101 => 0
010100110 => 2
010100111 => 0
010101000 => 1
010101001 => 0
010101010 => 9
010101011 => 0
010101100 => 1
010101101 => 0
010101110 => 2
010101111 => 0
010110000 => 1
010110001 => 0
010110010 => 3
010110011 => 0
010110100 => 1
010110101 => 0
010110110 => 2
010110111 => 0
010111000 => 1
010111001 => 0
010111010 => 9
010111011 => 0
010111100 => 1
010111101 => 0
010111110 => 2
010111111 => 0
011000000 => 1
011000001 => 0
011000010 => 2
011000011 => 0
011000100 => 1
011000101 => 0
011000110 => 9
011000111 => 0
011001000 => 1
011001001 => 0
011001010 => 2
011001011 => 0
011001100 => 1
011001101 => 0
011001110 => 3
011001111 => 0
011010000 => 1
011010001 => 0
011010010 => 2
011010011 => 0
011010100 => 1
011010101 => 0
011010110 => 9
011010111 => 0
011011000 => 1
011011001 => 0
011011010 => 2
011011011 => 0
011011100 => 1
011011101 => 0
011011110 => 3
011011111 => 0
011100000 => 1
011100001 => 0
011100010 => 2
011100011 => 0
011100100 => 1
011100101 => 0
011100110 => 3
011100111 => 0
011101000 => 1
011101001 => 0
011101010 => 2
011101011 => 0
011101100 => 1
011101101 => 0
011101110 => 9
011101111 => 0
011110000 => 1
011110001 => 0
011110010 => 2
011110011 => 0
011110100 => 1
011110101 => 0
011110110 => 3
011110111 => 0
011111000 => 1
011111001 => 0
011111010 => 2
011111011 => 0
011111100 => 1
011111101 => 0
011111110 => 9
011111111 => 0
100000000 => 0
100000001 => 9
100000010 => 0
100000011 => 1
100000100 => 0
100000101 => 2
100000110 => 0
100000111 => 1
100001000 => 0
100001001 => 3
100001010 => 0
100001011 => 1
100001100 => 0
100001101 => 2
100001110 => 0
100001111 => 1
100010000 => 0
100010001 => 9
100010010 => 0
100010011 => 1
100010100 => 0
100010101 => 2
100010110 => 0
100010111 => 1
100011000 => 0
100011001 => 3
100011010 => 0
100011011 => 1
100011100 => 0
100011101 => 2
100011110 => 0
100011111 => 1
100100000 => 0
100100001 => 3
100100010 => 0
100100011 => 1
100100100 => 0
100100101 => 2
100100110 => 0
100100111 => 1
100101000 => 0
100101001 => 9
100101010 => 0
100101011 => 1
100101100 => 0
100101101 => 2
100101110 => 0
100101111 => 1
100110000 => 0
100110001 => 3
100110010 => 0
100110011 => 1
100110100 => 0
100110101 => 2
100110110 => 0
100110111 => 1
100111000 => 0
100111001 => 9
100111010 => 0
100111011 => 1
100111100 => 0
100111101 => 2
100111110 => 0
100111111 => 1
101000000 => 0
101000001 => 2
101000010 => 0
101000011 => 1
101000100 => 0
101000101 => 9
101000110 => 0
101000111 => 1
101001000 => 0
101001001 => 2
101001010 => 0
101001011 => 1
101001100 => 0
101001101 => 3
101001110 => 0
101001111 => 1
101010000 => 0
101010001 => 2
101010010 => 0
101010011 => 1
101010100 => 0
101010101 => 9
101010110 => 0
101010111 => 1
101011000 => 0
101011001 => 2
101011010 => 0
101011011 => 1
101011100 => 0
101011101 => 3
101011110 => 0
101011111 => 1
101100000 => 0
101100001 => 2
101100010 => 0
101100011 => 1
101100100 => 0
101100101 => 3
101100110 => 0
101100111 => 1
101101000 => 0
101101001 => 2
101101010 => 0
101101011 => 1
101101100 => 0
101101101 => 9
101101110 => 0
101101111 => 1
101110000 => 0
101110001 => 2
101110010 => 0
101110011 => 1
101110100 => 0
101110101 => 3
101110110 => 0
101110111 => 1
101111000 => 0
101111001 => 2
101111010 => 0
101111011 => 1
101111100 => 0
101111101 => 9
101111110 => 0
101111111 => 1
110000000 => 0
110000001 => 1
110000010 => 0
110000011 => 9
110000100 => 0
110000101 => 1
110000110 => 0
110000111 => 2
110001000 => 0
110001001 => 1
110001010 => 0
110001011 => 3
110001100 => 0
110001101 => 1
110001110 => 0
110001111 => 2
110010000 => 0
110010001 => 1
110010010 => 0
110010011 => 9
110010100 => 0
110010101 => 1
110010110 => 0
110010111 => 2
110011000 => 0
110011001 => 1
110011010 => 0
110011011 => 3
110011100 => 0
110011101 => 1
110011110 => 0
110011111 => 2
110100000 => 0
110100001 => 1
110100010 => 0
110100011 => 3
110100100 => 0
110100101 => 1
110100110 => 0
110100111 => 2
110101000 => 0
110101001 => 1
110101010 => 0
110101011 => 9
110101100 => 0
110101101 => 1
110101110 => 0
110101111 => 2
110110000 => 0
110110001 => 1
110110010 => 0
110110011 => 3
110110100 => 0
110110101 => 1
110110110 => 0
110110111 => 2
110111000 => 0
110111001 => 1
110111010 => 0
110111011 => 9
110111100 => 0
110111101 => 1
110111110 => 0
110111111 => 2
111000000 => 0
111000001 => 1
111000010 => 0
111000011 => 2
111000100 => 0
111000101 => 1
111000110 => 0
111000111 => 9
111001000 => 0
111001001 => 1
111001010 => 0
111001011 => 2
111001100 => 0
111001101 => 1
111001110 => 0
111001111 => 3
111010000 => 0
111010001 => 1
111010010 => 0
111010011 => 2
111010100 => 0
111010101 => 1
111010110 => 0
111010111 => 9
111011000 => 0
111011001 => 1
111011010 => 0
111011011 => 2
111011100 => 0
111011101 => 1
111011110 => 0
111011111 => 3
111100000 => 0
111100001 => 1
111100010 => 0
111100011 => 2
111100100 => 0
111100101 => 1
111100110 => 0
111100111 => 3
111101000 => 0
111101001 => 1
111101010 => 0
111101011 => 2
111101100 => 0
111101101 => 1
111101110 => 0
111101111 => 9
111110000 => 0
111110001 => 1
111110010 => 0
111110011 => 2
111110100 => 0
111110101 => 1
111110110 => 0
111110111 => 3
111111000 => 0
111111001 => 1
111111010 => 0
111111011 => 2
111111100 => 0
111111101 => 1
111111110 => 0
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 => 0
1111111101 => 1
1111000001 => 1
1110111110 => 0
1110100001 => 1
1110011110 => 0
1110010001 => 1
1110001001 => 1
1110000101 => 1
1101111110 => 0
1101100001 => 1
1101010001 => 1
1101001110 => 0
1101001001 => 1
1101000101 => 1
1100110001 => 1
1100101001 => 1
1100100110 => 0
1100100101 => 1
1100011001 => 1
1100010101 => 1
1100010010 => 0
1100001000 => 0
1011111110 => 0
1011111101 => 10
1011100001 => 2
1011010001 => 2
1011001001 => 2
1011000101 => 3
1010111110 => 0
1010110001 => 2
1010101001 => 2
1010100110 => 0
1010100101 => 4
1010011010 => 0
1010011001 => 2
1010010110 => 0
1010010101 => 4
1010001110 => 0
1001111110 => 0
1001111000 => 0
1001110100 => 0
1001110001 => 3
1001101100 => 0
1001101010 => 0
1001101001 => 4
1001100110 => 0
1001100101 => 2
1001011110 => 0
1001011010 => 0
1001011001 => 4
1001010110 => 0
1001010101 => 2
1001001110 => 0
1000111110 => 0
1000111100 => 0
1000111010 => 0
1000110110 => 0
1000101110 => 0
1000011110 => 0
1000010110 => 0
1000001110 => 0
1000001010 => 0
1000000110 => 0
1000000100 => 0
1000000010 => 0
1000000000 => 0
0111111111 => 0
0111111101 => 0
0111111001 => 0
0111110001 => 0
0111100001 => 0
0111000001 => 0
0110000001 => 0
0100000001 => 0
0000000001 => 0
0111111011 => 0
0111110101 => 0
0111101001 => 0
0111010001 => 0
0110100001 => 0
0101000001 => 0
0010000001 => 0
0101010101 => 0
0101010011 => 0
0101001101 => 0
0101001011 => 0
0101000111 => 0
0100110101 => 0
0100110011 => 0
0100101101 => 0
0100101011 => 0
0100100111 => 0
0100011101 => 0
0100011011 => 0
0100010111 => 0
0100001111 => 0
0011010101 => 0
0011010011 => 0
0011001101 => 0
0011001011 => 0
0011000111 => 0
0010110101 => 0
0010110011 => 0
0010101101 => 0
0010101011 => 0
0010100111 => 0
0010011101 => 0
0010011011 => 0
0010010111 => 0
0010001111 => 0
0001110101 => 0
0001110011 => 0
0001101101 => 0
0001101011 => 0
0001100111 => 0
0001011101 => 0
0001011011 => 0
0001010111 => 0
0001001111 => 0
0000111101 => 0
0000111011 => 0
0000110111 => 0
0000101111 => 0
0000011111 => 0
0100000010 => 10
0010111100 => 3
0011110100 => 3
0111010100 => 1
0000000010 => 1
0000111110 => 1
0100000000 => 1
0100000011 => 0
0100000111 => 0
0100011111 => 0
0100111111 => 0
0101111111 => 0
0100000101 => 0
0100001011 => 0
0100101111 => 0
0101011111 => 0
0110111111 => 0
0101010110 => 2
0101011001 => 0
0101011010 => 4
0101011100 => 1
0101100101 => 0
0101100110 => 2
0101101001 => 0
0101101010 => 4
0101101100 => 1
0101110001 => 0
0101110010 => 3
0101110100 => 1
0101111000 => 1
0110010101 => 0
0110010110 => 4
0110011001 => 0
0110011010 => 2
0110011100 => 1
0110100101 => 0
0110100110 => 4
0110101001 => 0
0110101010 => 2
0110101100 => 1
0110110001 => 0
0110110010 => 2
0110110100 => 1
0110111000 => 1
0111000101 => 0
0111000110 => 3
0111001001 => 0
0111001010 => 2
0111001100 => 1
0111010010 => 2
0111011000 => 1
0111100010 => 2
0111100100 => 1
0111101000 => 1
0111110000 => 1
0100000100 => 1
0011100110 => 1
0011101010 => 1
0011101100 => 4
0001101110 => 1
0010110110 => 1
0011110010 => 1
0001110110 => 1
0100111010 => 3
0010111010 => 1
0011111000 => 2
0001111010 => 1
0100111100 => 1
0001111100 => 2
0000000101 => 0
0000001101 => 0
0000011101 => 0
0001111101 => 0
0011111101 => 0
0000001001 => 0
0000010101 => 0
0000101101 => 0
0010111101 => 0
0101111101 => 0
10000000000 => 0
10000000010 => 0
10000000110 => 0
10000001110 => 0
10000011110 => 0
10000111110 => 0
10001111110 => 0
10011111110 => 0
10111111110 => 0
11111111110 => 0
10000000100 => 0
10000001010 => 0
10000010110 => 0
10000101110 => 0
10001011110 => 0
10010111110 => 0
10101111110 => 0
11011111110 => 0
10000010000 => 0
10000100010 => 0
10001000010 => 0
10000100100 => 0
10001001010 => 0
10001000100 => 0
10000101000 => 0
10010001010 => 0
10001010010 => 0
10010000100 => 0
10001001000 => 0
10010010010 => 0
10001010100 => 0
10010101010 => 0
10010001000 => 0
10100010010 => 0
10010100010 => 0
10010010100 => 0
10100101010 => 0
01111111111 => 0
01111111101 => 0
01111111001 => 0
01111110001 => 0
01111100001 => 0
01111000001 => 0
01110000001 => 0
01100000001 => 0
01000000001 => 0
00000000001 => 0
00000000010 => 1
10101010101 => 11
10101010010 => 0
10101001001 => 2
10101001010 => 0
10101000100 => 0
10100100101 => 11
10100100010 => 0
10100101001 => 2
10100100100 => 0
10100010001 => 2
10100010100 => 0
10100001000 => 0
10010010101 => 2
10010001001 => 11
10010100101 => 2
10010101001 => 11
10010100100 => 0
10010010001 => 3
10001000101 => 2
10001001001 => 3
10001010001 => 11
10000100001 => 11
01001010101 => 0
01001010010 => 11
01001001001 => 0
01001001010 => 3
01001000100 => 1
01000100101 => 0
01000100010 => 11
01000101001 => 0
01000101010 => 3
01000100100 => 1
01000010001 => 0
01000010010 => 4
01000010100 => 1
01000001000 => 1
01010010101 => 0
01010010010 => 3
01010001001 => 0
01010001010 => 11
01010000100 => 1
01010100101 => 0
01010100010 => 3
01010101001 => 0
01010101010 => 11
01010100100 => 1
01010010001 => 0
01010010100 => 1
01010001000 => 1
01001000101 => 0
01001000010 => 4
01001010001 => 0
01001010100 => 1
01001001000 => 1
01000100001 => 0
01000101000 => 1
01000010000 => 1
00100010101 => 0
00100010010 => 1
00100001001 => 0
00100001010 => 1
00100000100 => 11
00100100101 => 0
00100100010 => 1
00100101001 => 0
00100101010 => 1
00100100100 => 11
00100010001 => 0
00100010100 => 4
00100001000 => 2
00101000101 => 0
00101000010 => 1
00101001001 => 0
00101001010 => 1
00101000100 => 4
00101010001 => 0
00101010010 => 1
00101010100 => 11
00101001000 => 2
00100100001 => 0
00100101000 => 2
00100010000 => 2
00010000101 => 0
00010000010 => 1
00010001001 => 0
00010001010 => 1
00010000100 => 2
00010010001 => 0
00010010010 => 1
00010010100 => 2
00010001000 => 11
00010100001 => 0
00010100010 => 1
00010100100 => 2
00010101000 => 11
00010010000 => 3
00001000001 => 0
00001000010 => 1
00001000100 => 2
00001001000 => 3
00001010000 => 11
00000100000 => 11
01000000000 => 1
01000000011 => 0
01000000111 => 0
01000001111 => 0
01000011111 => 0
01000111111 => 0
01001111111 => 0
01011111111 => 0
00000000101 => 0
00000001101 => 0
00000011101 => 0
00000111101 => 0
00001111101 => 0
00011111101 => 0
00111111101 => 0
11111111101 => 1
101010101010 => 0
101010101100 => 0
101010110010 => 0
101010110100 => 0
101010111000 => 0
101011001010 => 0
101011001100 => 0
101011010010 => 0
101011010100 => 0
101011011000 => 0
101011100010 => 0
101011100100 => 0
101011101000 => 0
101011110000 => 0
101100101010 => 0
101100101100 => 0
101100110010 => 0
101100110100 => 0
101100111000 => 0
101101001010 => 0
101101001100 => 0
101101010010 => 0
101101010100 => 0
101101011000 => 0
101101100010 => 0
101101100100 => 0
101101101000 => 0
101101110000 => 0
101110001010 => 0
101110001100 => 0
101110010010 => 0
101110010100 => 0
101110011000 => 0
101110100010 => 0
101110100100 => 0
101110101000 => 0
101110110000 => 0
101111000010 => 0
101111000100 => 0
101111001000 => 0
101111010000 => 0
101111100000 => 0
110010101010 => 0
110010101100 => 0
110010110010 => 0
110010110100 => 0
110010111000 => 0
110011001010 => 0
110011001100 => 0
110011010010 => 0
110011010100 => 0
110011011000 => 0
110011100010 => 0
110011100100 => 0
110011101000 => 0
110011110000 => 0
110100101010 => 0
110100101100 => 0
110100110010 => 0
110100110100 => 0
110100111000 => 0
110101001010 => 0
110101001100 => 0
110101010010 => 0
110101010100 => 0
110101011000 => 0
110101100010 => 0
110101100100 => 0
110101101000 => 0
110101110000 => 0
110110001010 => 0
110110001100 => 0
110110010010 => 0
110110010100 => 0
110110011000 => 0
110110100010 => 0
110110100100 => 0
110110101000 => 0
110110110000 => 0
110111000010 => 0
110111000100 => 0
110111001000 => 0
110111010000 => 0
110111100000 => 0
111000101010 => 0
111000101100 => 0
111000110010 => 0
111000110100 => 0
111000111000 => 0
111001001010 => 0
111001001100 => 0
111001010010 => 0
111001010100 => 0
111001011000 => 0
111001100010 => 0
111001100100 => 0
111001101000 => 0
111001110000 => 0
111010001010 => 0
111010001100 => 0
111010010010 => 0
111010010100 => 0
111010011000 => 0
111010100010 => 0
111010100100 => 0
111010101000 => 0
111010110000 => 0
111011000010 => 0
111011000100 => 0
111011001000 => 0
111011010000 => 0
111011100000 => 0
111100001010 => 0
111100001100 => 0
111100010010 => 0
111100010100 => 0
111100011000 => 0
111100100010 => 0
111100100100 => 0
111100101000 => 0
111100110000 => 0
111101000010 => 0
111101000100 => 0
111101001000 => 0
111101010000 => 0
111101100000 => 0
111110000010 => 0
111110000100 => 0
111110001000 => 0
111110010000 => 0
111110100000 => 0
111111000000 => 0
100001111100 => 0
010101010101 => 0
010101010011 => 0
010101001101 => 0
010101001011 => 0
010101000111 => 0
010100110101 => 0
010100110011 => 0
010100101101 => 0
010100101011 => 0
010100100111 => 0
010100011101 => 0
010100011011 => 0
010100010111 => 0
010100001111 => 0
010011010101 => 0
010011010011 => 0
010011001101 => 0
010011001011 => 0
010011000111 => 0
010010110101 => 0
010010110011 => 0
010010101101 => 0
010010101011 => 0
010010100111 => 0
010010011101 => 0
010010011011 => 0
010010010111 => 0
010010001111 => 0
010001110101 => 0
010001110011 => 0
010001101101 => 0
010001101011 => 0
010001100111 => 0
010001011101 => 0
010001011011 => 0
010001010111 => 0
010001001111 => 0
010000111101 => 0
010000111011 => 0
010000110111 => 0
010000101111 => 0
010000011111 => 0
001101010101 => 0
001101010011 => 0
001101001101 => 0
001101001011 => 0
001101000111 => 0
001100110101 => 0
001100110011 => 0
001100101101 => 0
001100101011 => 0
001100100111 => 0
001100011101 => 0
001100011011 => 0
001100010111 => 0
001100001111 => 0
001011010101 => 0
001011010011 => 0
001011001101 => 0
001011001011 => 0
001011000111 => 0
001010110101 => 0
001010110011 => 0
001010101101 => 0
001010101011 => 0
001010100111 => 0
001010011101 => 0
001010011011 => 0
001010010111 => 0
001010001111 => 0
001001110101 => 0
001001110011 => 0
001001101101 => 0
001001101011 => 0
001001100111 => 0
001001011101 => 0
001001011011 => 0
001001010111 => 0
001001001111 => 0
001000111101 => 0
001000111011 => 0
001000110111 => 0
001000101111 => 0
001000011111 => 0
000111010101 => 0
000111010011 => 0
000111001101 => 0
000111001011 => 0
000111000111 => 0
000110110101 => 0
000110110011 => 0
000110101101 => 0
000110101011 => 0
000110100111 => 0
000110011101 => 0
000110011011 => 0
000110010111 => 0
000110001111 => 0
000101110101 => 0
000101110011 => 0
000101101101 => 0
000101101011 => 0
000101100111 => 0
000101011101 => 0
000101011011 => 0
000101010111 => 0
000101001111 => 0
000100111101 => 0
000100111011 => 0
000100110111 => 0
000100101111 => 0
000100011111 => 0
000011110101 => 0
000011110011 => 0
000011101101 => 0
000011101011 => 0
000011100111 => 0
000011011101 => 0
000011011011 => 0
000011010111 => 0
000011001111 => 0
000010111101 => 0
000010111011 => 0
000010110111 => 0
000010101111 => 0
000010011111 => 0
000001111101 => 0
000001111011 => 0
000001110111 => 0
000001101111 => 0
000001011111 => 0
000000111111 => 0
111110000001 => 1
111001100001 => 1
111000011001 => 1
111000110001 => 1
111000100101 => 1
111011000001 => 1
111010010001 => 1
111010000101 => 1
100111100001 => 3
100110011001 => 12
100110110001 => 3
100110100101 => 2
101101100001 => 2
101100011001 => 2
101100110001 => 2
101100100101 => 3
101111000001 => 2
101110010001 => 2
101110000101 => 3
101001011001 => 2
101001110001 => 2
101001100101 => 12
101011010001 => 2
101011000101 => 4
101010010101 => 12
000001111110 => 1
000111100110 => 1
000111111000 => 12
000111110010 => 1
000111001110 => 1
000111011010 => 1
000101101110 => 1
000101111010 => 1
011001100110 => 12
011001111000 => 1
011001110010 => 2
011001011010 => 2
011110000110 => 3
011110011000 => 1
011110010010 => 2
011111100000 => 1
011111001000 => 1
011111000010 => 2
011100100110 => 3
011100111000 => 1
011100110010 => 2
011100011010 => 2
011101101000 => 1
011101100010 => 2
011101001010 => 2
010011111000 => 1
010011110010 => 12
010011011010 => 3
010001111010 => 3
010110100110 => 2
010110111000 => 1
010110110010 => 3
010110011010 => 12
010111101000 => 1
010111100010 => 3
010111001010 => 4
010101101010 => 12
010101010110 => 2
010101011001 => 0
010101011010 => 4
010101011100 => 1
010101100101 => 0
010101100110 => 2
010101101001 => 0
010101101100 => 1
010101110001 => 0
010101110010 => 3
010101110100 => 1
010101111000 => 1
010110010101 => 0
010110010110 => 2
010110011001 => 0
010110011100 => 1
010110100101 => 0
010110101001 => 0
010110101010 => 4
010110101100 => 1
010110110001 => 0
010110110100 => 1
010111000101 => 0
010111000110 => 2
010111001001 => 0
010111001100 => 1
010111010001 => 0
010111010010 => 3
010111010100 => 1
010111011000 => 1
010111100001 => 0
010111100100 => 1
010111110000 => 1
011001010101 => 0
011001010110 => 4
011001011001 => 0
011001011100 => 1
011001100101 => 0
011001101001 => 0
011001101010 => 2
011001101100 => 1
011001110001 => 0
011001110100 => 1
011010010101 => 0
011010010110 => 12
011010011001 => 0
011010011010 => 2
011010011100 => 1
011010100101 => 0
011010100110 => 4
011010101001 => 0
011010101010 => 2
011010101100 => 1
011010110001 => 0
011010110010 => 2
011010110100 => 1
011010111000 => 1
011011000101 => 0
011011000110 => 4
011011001001 => 0
011011001010 => 2
011011001100 => 1
011011010001 => 0
011011010010 => 2
011011010100 => 1
011011011000 => 1
011011100001 => 0
011011100010 => 2
011011100100 => 1
011011101000 => 1
011011110000 => 1
011100010101 => 0
011100010110 => 3
011100011001 => 0
011100011100 => 1
011100100101 => 0
011100101001 => 0
011100101010 => 2
011100101100 => 1
011100110001 => 0
011100110100 => 1
011101000101 => 0
011101000110 => 3
011101001001 => 0
011101001100 => 1
011101010001 => 0
011101010010 => 2
011101010100 => 1
011101011000 => 1
011101100001 => 0
011101100100 => 1
011101110000 => 1
011110000101 => 0
011110001001 => 0
011110001010 => 2
011110001100 => 1
011110010001 => 0
011110010100 => 1
011110100001 => 0
011110100010 => 2
011110100100 => 1
011110101000 => 1
011110110000 => 1
011111000001 => 0
011111000100 => 1
011111010000 => 1
001111000110 => 1
001111001010 => 1
100111001100 => 0
001111001100 => 4
001011010110 => 1
001111010010 => 1
100111010100 => 0
001111010100 => 3
000111010110 => 1
001011011010 => 1
100111011000 => 0
001111011000 => 2
100011011100 => 0
010011011100 => 1
001011011100 => 3
000111011100 => 2
000011011110 => 1
001101100110 => 1
001101101010 => 1
100101101100 => 0
001101101100 => 12
001011100110 => 1
001111100010 => 1
100111100100 => 0
001111100100 => 3
010011101010 => 3
001011101010 => 1
100111101000 => 0
001111101000 => 2
000111101010 => 1
100011101100 => 0
010011101100 => 1
001011101100 => 3
000111101100 => 2
000011101110 => 1
101001110100 => 0
001001110110 => 1
001101110010 => 1
100101110100 => 0
001101110100 => 3
000101110110 => 1
001011110010 => 1
100111110000 => 0
001111110000 => 2
100011110100 => 0
010011110100 => 1
001011110100 => 12
000111110100 => 2
000011110110 => 1
110001111000 => 0
101001111000 => 0
001001111010 => 1
100101111000 => 0
001101111000 => 2
100011111000 => 0
001011111000 => 2
000011111010 => 1
010001111100 => 1
001001111100 => 3
000101111100 => 2
000011111100 => 2
100101010101 => 2
100101011001 => 4
100101100101 => 2
100101101001 => 12
100101110001 => 3
100110010101 => 2
100110101001 => 4
100111000101 => 2
100111001001 => 4
100111010001 => 3
101001010101 => 4
101001101001 => 2
101010011001 => 2
101010100101 => 4
101010101001 => 2
101010110001 => 2
101011001001 => 2
101011100001 => 2
101100010101 => 3
101100101001 => 2
101101000101 => 3
101101001001 => 2
101101010001 => 2
101110001001 => 2
101110100001 => 2
110001010101 => 1
110001011001 => 1
110001100101 => 1
110001101001 => 1
110001110001 => 1
110010010101 => 1
110010011001 => 1
110010100101 => 1
110010101001 => 1
110010110001 => 1
110011000101 => 1
110011001001 => 1
110011010001 => 1
110011100001 => 1
110100010101 => 1
110100011001 => 1
110100100101 => 1
110100101001 => 1
110100110001 => 1
110101000101 => 1
110101001001 => 1
110101010001 => 1
110101100001 => 1
110110000101 => 1
110110001001 => 1
110110010001 => 1
110110100001 => 1
110111000001 => 1
111000010101 => 1
111000101001 => 1
111001000101 => 1
111001001001 => 1
111001010001 => 1
111010001001 => 1
111010100001 => 1
111100000101 => 1
111100001001 => 1
111100010001 => 1
111100100001 => 1
111101000001 => 1
10110111100000 => 0
10111011010000 => 0
10111011100000 => 0
10111100110000 => 0
10111101001000 => 0
10111101010000 => 0
10111101100000 => 0
10111110000100 => 0
10111110001000 => 0
10111110010000 => 0
10111110100000 => 0
10111111000000 => 0
11001111100000 => 0
11011110000010 => 0
11101101000010 => 0
11101110000010 => 0
11110011000010 => 0
11110100100010 => 0
11110101000010 => 0
11110110000010 => 0
11111000001100 => 0
11111000010010 => 0
11111000100010 => 0
11111001000010 => 0
11111010000010 => 0
11111100000010 => 0
1011110111000000 => 0
1011111010100000 => 0
1011111011000000 => 0
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
-----------------------------------------------------------------------------
Created: Nov 19, 2015 at 12:38 by Christian Stump
-----------------------------------------------------------------------------
Last Updated: Dec 28, 2017 at 14:48 by Martin Rubey