Identifier
- St001419: Binary words ⟶ ℤ
Values
=>
0=>0
1=>1
00=>0
01=>1
10=>1
11=>2
000=>0
001=>1
010=>1
011=>2
100=>1
101=>3
110=>2
111=>3
0000=>0
0001=>1
0010=>1
0011=>2
0100=>1
0101=>3
0110=>2
0111=>3
1000=>1
1001=>4
1010=>3
1011=>3
1100=>2
1101=>3
1110=>3
1111=>4
00000=>0
00001=>1
00010=>1
00011=>2
00100=>1
00101=>3
00110=>2
00111=>3
01000=>1
01001=>4
01010=>3
01011=>3
01100=>2
01101=>3
01110=>3
01111=>4
10000=>1
10001=>5
10010=>4
10011=>4
10100=>3
10101=>5
10110=>3
10111=>3
11000=>2
11001=>4
11010=>3
11011=>5
11100=>3
11101=>3
11110=>4
11111=>5
000000=>0
000001=>1
000010=>1
000011=>2
000100=>1
000101=>3
000110=>2
000111=>3
001000=>1
001001=>4
001010=>3
001011=>3
001100=>2
001101=>3
001110=>3
001111=>4
010000=>1
010001=>5
010010=>4
010011=>4
010100=>3
010101=>5
010110=>3
010111=>3
011000=>2
011001=>4
011010=>3
011011=>5
011100=>3
011101=>3
011110=>4
011111=>5
100000=>1
100001=>6
100010=>5
100011=>5
100100=>4
100101=>4
100110=>4
100111=>4
101000=>3
101001=>4
101010=>5
101011=>5
101100=>3
101101=>6
101110=>3
101111=>4
110000=>2
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=>0
0000001=>1
0000010=>1
0000011=>2
0000100=>1
0000101=>3
0000110=>2
0000111=>3
0001000=>1
0001001=>4
0001010=>3
0001011=>3
0001100=>2
0001101=>3
0001110=>3
0001111=>4
0010000=>1
0010001=>5
0010010=>4
0010011=>4
0010100=>3
0010101=>5
0010110=>3
0010111=>3
0011000=>2
0011001=>4
0011010=>3
0011011=>5
0011100=>3
0011101=>3
0011110=>4
0011111=>5
0100000=>1
0100001=>6
0100010=>5
0100011=>5
0100100=>4
0100101=>4
0100110=>4
0100111=>4
0101000=>3
0101001=>4
0101010=>5
0101011=>5
0101100=>3
0101101=>6
0101110=>3
0101111=>4
0110000=>2
0110001=>5
0110010=>4
0110011=>6
0110100=>3
0110101=>5
0110110=>5
0110111=>5
0111000=>3
0111001=>4
0111010=>3
0111011=>5
0111100=>4
0111101=>4
0111110=>5
0111111=>6
1000000=>1
1000001=>7
1000010=>6
1000011=>6
1000100=>5
1000101=>5
1000110=>5
1000111=>5
1001000=>4
1001001=>7
1001010=>4
1001011=>4
1001100=>4
1001101=>4
1001110=>4
1001111=>4
1010000=>3
1010001=>5
1010010=>4
1010011=>4
1010100=>5
1010101=>7
1010110=>5
1010111=>5
1011000=>3
1011001=>4
1011010=>6
1011011=>6
1011100=>3
1011101=>7
1011110=>4
1011111=>5
1100000=>2
1100001=>6
1100010=>5
1100011=>7
1100100=>4
1100101=>4
1100110=>6
1100111=>6
1101000=>3
1101001=>4
1101010=>5
1101011=>7
1101100=>5
1101101=>6
1101110=>5
1101111=>5
1110000=>3
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=>0
00000001=>1
00000010=>1
00000011=>2
00000100=>1
00000101=>3
00000110=>2
00000111=>3
00001000=>1
00001001=>4
00001010=>3
00001011=>3
00001100=>2
00001101=>3
00001110=>3
00001111=>4
00010000=>1
00010001=>5
00010010=>4
00010011=>4
00010100=>3
00010101=>5
00010110=>3
00010111=>3
00011000=>2
00011001=>4
00011010=>3
00011011=>5
00011100=>3
00011101=>3
00011110=>4
00011111=>5
00100000=>1
00100001=>6
00100010=>5
00100011=>5
00100100=>4
00100101=>4
00100110=>4
00100111=>4
00101000=>3
00101001=>4
00101010=>5
00101011=>5
00101100=>3
00101101=>6
00101110=>3
00101111=>4
00110000=>2
00110001=>5
00110010=>4
00110011=>6
00110100=>3
00110101=>5
00110110=>5
00110111=>5
00111000=>3
00111001=>4
00111010=>3
00111011=>5
00111100=>4
00111101=>4
00111110=>5
00111111=>6
01000000=>1
01000001=>7
01000010=>6
01000011=>6
01000100=>5
01000101=>5
01000110=>5
01000111=>5
01001000=>4
01001001=>7
01001010=>4
01001011=>4
01001100=>4
01001101=>4
01001110=>4
01001111=>4
01010000=>3
01010001=>5
01010010=>4
01010011=>4
01010100=>5
01010101=>7
01010110=>5
01010111=>5
01011000=>3
01011001=>4
01011010=>6
01011011=>6
01011100=>3
01011101=>7
01011110=>4
01011111=>5
01100000=>2
01100001=>6
01100010=>5
01100011=>7
01100100=>4
01100101=>4
01100110=>6
01100111=>6
01101000=>3
01101001=>4
01101010=>5
01101011=>7
01101100=>5
01101101=>6
01101110=>5
01101111=>5
01110000=>3
01110001=>5
01110010=>4
01110011=>6
01110100=>3
01110101=>5
01110110=>5
01110111=>7
01111000=>4
01111001=>4
01111010=>4
01111011=>5
01111100=>5
01111101=>5
01111110=>6
01111111=>7
10000000=>1
10000001=>8
10000010=>7
10000011=>7
10000100=>6
10000101=>6
10000110=>6
10000111=>6
10001000=>5
10001001=>5
10001010=>5
10001011=>5
10001100=>5
10001101=>5
10001110=>5
10001111=>5
10010000=>4
10010001=>5
10010010=>7
10010011=>7
10010100=>4
10010101=>5
10010110=>4
10010111=>4
10011000=>4
10011001=>8
10011010=>4
10011011=>5
10011100=>4
10011101=>4
10011110=>4
10011111=>5
10100000=>3
10100001=>6
10100010=>5
10100011=>5
10100100=>4
10100101=>8
10100110=>4
10100111=>4
10101000=>5
10101001=>5
10101010=>7
10101011=>7
10101100=>5
10101101=>6
10101110=>5
10101111=>5
10110000=>3
10110001=>5
10110010=>4
10110011=>6
10110100=>6
10110101=>6
10110110=>6
10110111=>6
10111000=>3
10111001=>4
10111010=>7
10111011=>7
10111100=>4
10111101=>8
10111110=>5
10111111=>6
11000000=>2
11000001=>7
11000010=>6
11000011=>8
11000100=>5
11000101=>5
11000110=>7
11000111=>7
11001000=>4
11001001=>7
11001010=>4
11001011=>4
11001100=>6
11001101=>6
11001110=>6
11001111=>6
11010000=>3
11010001=>5
11010010=>4
11010011=>4
11010100=>5
11010101=>7
11010110=>7
11010111=>7
11011000=>5
11011001=>5
11011010=>6
11011011=>8
11011100=>5
11011101=>7
11011110=>5
11011111=>5
11100000=>3
11100001=>6
11100010=>5
11100011=>7
11100100=>4
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=>0
000000001=>1
000000010=>1
000000011=>2
000000100=>1
000000101=>3
000000110=>2
000000111=>3
000001000=>1
000001001=>4
000001010=>3
000001011=>3
000001100=>2
000001101=>3
000001110=>3
000001111=>4
000010000=>1
000010001=>5
000010010=>4
000010011=>4
000010100=>3
000010101=>5
000010110=>3
000010111=>3
000011000=>2
000011001=>4
000011010=>3
000011011=>5
000011100=>3
000011101=>3
000011110=>4
000011111=>5
000100000=>1
000100001=>6
000100010=>5
000100011=>5
000100100=>4
000100101=>4
000100110=>4
000100111=>4
000101000=>3
000101001=>4
000101010=>5
000101011=>5
000101100=>3
000101101=>6
000101110=>3
000101111=>4
000110000=>2
000110001=>5
000110010=>4
000110011=>6
000110100=>3
000110101=>5
000110110=>5
000110111=>5
000111000=>3
000111001=>4
000111010=>3
000111011=>5
000111100=>4
000111101=>4
000111110=>5
000111111=>6
001000000=>1
001000001=>7
001000010=>6
001000011=>6
001000100=>5
001000101=>5
001000110=>5
001000111=>5
001001000=>4
001001001=>7
001001010=>4
001001011=>4
001001100=>4
001001101=>4
001001110=>4
001001111=>4
001010000=>3
001010001=>5
001010010=>4
001010011=>4
001010100=>5
001010101=>7
001010110=>5
001010111=>5
001011000=>3
001011001=>4
001011010=>6
001011011=>6
001011100=>3
001011101=>7
001011110=>4
001011111=>5
001100000=>2
001100001=>6
001100010=>5
001100011=>7
001100100=>4
001100101=>4
001100110=>6
001100111=>6
001101000=>3
001101001=>4
001101010=>5
001101011=>7
001101100=>5
001101101=>6
001101110=>5
001101111=>5
001110000=>3
001110001=>5
001110010=>4
001110011=>6
001110100=>3
001110101=>5
001110110=>5
001110111=>7
001111000=>4
001111001=>4
001111010=>4
001111011=>5
001111100=>5
001111101=>5
001111110=>6
001111111=>7
010000000=>1
010000001=>8
010000010=>7
010000011=>7
010000100=>6
010000101=>6
010000110=>6
010000111=>6
010001000=>5
010001001=>5
010001010=>5
010001011=>5
010001100=>5
010001101=>5
010001110=>5
010001111=>5
010010000=>4
010010001=>5
010010010=>7
010010011=>7
010010100=>4
010010101=>5
010010110=>4
010010111=>4
010011000=>4
010011001=>8
010011010=>4
010011011=>5
010011100=>4
010011101=>4
010011110=>4
010011111=>5
010100000=>3
010100001=>6
010100010=>5
010100011=>5
010100100=>4
010100101=>8
010100110=>4
010100111=>4
010101000=>5
010101001=>5
010101010=>7
010101011=>7
010101100=>5
010101101=>6
010101110=>5
010101111=>5
010110000=>3
010110001=>5
010110010=>4
010110011=>6
010110100=>6
010110101=>6
010110110=>6
010110111=>6
010111000=>3
010111001=>4
010111010=>7
010111011=>7
010111100=>4
010111101=>8
010111110=>5
010111111=>6
011000000=>2
011000001=>7
011000010=>6
011000011=>8
011000100=>5
011000101=>5
011000110=>7
011000111=>7
011001000=>4
011001001=>7
011001010=>4
011001011=>4
011001100=>6
011001101=>6
011001110=>6
011001111=>6
011010000=>3
011010001=>5
011010010=>4
011010011=>4
011010100=>5
011010101=>7
011010110=>7
011010111=>7
011011000=>5
011011001=>5
011011010=>6
011011011=>8
011011100=>5
011011101=>7
011011110=>5
011011111=>5
011100000=>3
011100001=>6
011100010=>5
011100011=>7
011100100=>4
011100101=>4
011100110=>6
011100111=>8
011101000=>3
011101001=>4
011101010=>5
011101011=>7
011101100=>5
011101101=>6
011101110=>7
011101111=>7
011110000=>4
011110001=>5
011110010=>4
011110011=>6
011110100=>4
011110101=>5
011110110=>5
011110111=>7
011111000=>5
011111001=>5
011111010=>5
011111011=>5
011111100=>6
011111101=>6
011111110=>7
011111111=>8
100000000=>1
100000001=>9
100000010=>8
100000011=>8
100000100=>7
100000101=>7
100000110=>7
100000111=>7
100001000=>6
100001001=>6
100001010=>6
100001011=>6
100001100=>6
100001101=>6
100001110=>6
100001111=>6
100010000=>5
100010001=>9
100010010=>5
100010011=>5
100010100=>5
100010101=>5
100010110=>5
100010111=>5
100011000=>5
100011001=>5
100011010=>5
100011011=>5
100011100=>5
100011101=>5
100011110=>5
100011111=>5
100100000=>4
100100001=>6
100100010=>5
100100011=>5
100100100=>7
100100101=>7
100100110=>7
100100111=>7
100101000=>4
100101001=>9
100101010=>5
100101011=>5
100101100=>4
100101101=>6
100101110=>4
100101111=>4
100110000=>4
100110001=>5
100110010=>8
100110011=>8
100110100=>4
100110101=>5
100110110=>5
100110111=>5
100111000=>4
100111001=>9
100111010=>4
100111011=>5
100111100=>4
100111101=>4
100111110=>5
100111111=>6
101000000=>3
101000001=>7
101000010=>6
101000011=>6
101000100=>5
101000101=>9
101000110=>5
101000111=>5
101001000=>4
101001001=>7
101001010=>8
101001011=>8
101001100=>4
101001101=>4
101001110=>4
101001111=>4
101010000=>5
101010001=>5
101010010=>5
101010011=>5
101010100=>7
101010101=>9
101010110=>7
101010111=>7
101011000=>5
101011001=>5
101011010=>6
101011011=>6
101011100=>5
101011101=>7
101011110=>5
101011111=>5
101100000=>3
101100001=>6
101100010=>5
101100011=>7
101100100=>4
101100101=>4
101100110=>6
101100111=>6
101101000=>6
101101001=>6
101101010=>6
101101011=>7
101101100=>6
101101101=>9
101101110=>6
101101111=>6
101110000=>3
101110001=>5
101110010=>4
101110011=>6
101110100=>7
101110101=>7
101110110=>7
101110111=>7
101111000=>4
101111001=>4
101111010=>8
101111011=>8
101111100=>5
101111101=>9
101111110=>6
101111111=>7
110000000=>2
110000001=>8
110000010=>7
110000011=>9
110000100=>6
110000101=>6
110000110=>8
110000111=>8
110001000=>5
110001001=>5
110001010=>5
110001011=>5
110001100=>7
110001101=>7
110001110=>7
110001111=>7
110010000=>4
110010001=>5
110010010=>7
110010011=>9
110010100=>4
110010101=>5
110010110=>4
110010111=>4
110011000=>6
110011001=>8
110011010=>6
110011011=>6
110011100=>6
110011101=>6
110011110=>6
110011111=>6
110100000=>3
110100001=>6
110100010=>5
110100011=>5
110100100=>4
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=>5
110111101=>8
110111110=>5
110111111=>6
111000000=>3
111000001=>7
111000010=>6
111000011=>8
111000100=>5
111000101=>5
111000110=>7
111000111=>9
111001000=>4
111001001=>7
111001010=>4
111001011=>4
111001100=>6
111001101=>6
111001110=>8
111001111=>8
111010000=>3
111010001=>5
111010010=>4
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=>4
111100001=>6
111100010=>5
111100011=>7
111100100=>4
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 the longest palindromic factor beginning with a one of a binary word.
Code
def statistic(w): return max([k-a for a in range(len(w)) for k in range(len(w)+1) if w[a] == 1 and w[a:k] == w[a:k][::-1]]+[0])
Created
Jun 12, 2019 at 06:34 by Martin Rubey
Updated
Jun 12, 2019 at 06:34 by Martin Rubey
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