- FindStat

Identifier

St001416: Binary words ⟶ ℤ

Values

=>
                            
                            
                            
                            

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

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Description

The length of a longest palindromic factor of a binary word.
A factor of a word is a sequence of consecutive letters. This statistic records the maximal length of a palindromic factor.

Code

def statistic(w):
    return max(k-a for a in range(len(w)) for k in range(len(w)+1) if w[a:k] == w[a:k][::-1])

Created

Jun 11, 2019 at 11:11 by Martin Rubey

Updated

Jun 11, 2019 at 11:11 by Martin Rubey