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In computer science, the longest repeated substring problem is the problem of finding the longest substring of a string that occurs at least twice. This problem can be solved in linear time and space Θ ( n ) {\displaystyle \Theta (n)} by building a suffix tree for the string (with a special end-of-string symbol like '$' appended), and finding ...
The variable z is used to hold the length of the longest common substring found so far. The set ret is used to hold the set of strings which are of length z. The set ret can be saved efficiently by just storing the index i, which is the last character of the longest common substring (of size z) instead of S[(i-z+1)..i].
They mean that the previous character can be repeated n times, where for each symbol n ≥ 0, n > 0, n is zero or one, and n ≥ 0 again respectively. (The difference with - is that it is "non-greedy", it matches as few symbols as possible given the rest of the pattern.)
The longest repeated substring problem for a string of length can be solved in () time using both the suffix array and the LCP array. It is sufficient to perform a linear scan through the LCP array in order to find its maximum value v m a x {\displaystyle v_{max}} and the corresponding index i {\displaystyle i} where v m a x {\displaystyle v ...
Finding the longest repeated substring; Finding the longest common substring; Finding the longest palindrome in a string; Suffix trees are often used in bioinformatics applications, searching for patterns in DNA or protein sequences (which can be viewed as long strings of characters). The ability to search efficiently with mismatches might be ...
In computer science a palindrome tree, also called an EerTree, [1] is a type of search tree, that allows for fast access to all palindromes contained in a string.They can be used to solve the longest palindromic substring, the k-factorization problem [2] (can a given string be divided into exactly k palindromes), palindromic length of a string [3] (what is the minimum number of palindromes ...
That is, for source code where the average line is 60 or more characters long, the hash or checksum for that line might be only 8 to 40 characters long. Additionally, the randomized nature of hashes and checksums would guarantee that comparisons would short-circuit faster, as lines of source code will rarely be changed at the beginning.
With that knowledge, everything after the "c" looks like the reflection of everything before the "c". The "a" after the "c" has the same longest palindrome as the "a" before the "c". Similarly, the "b" after the "c" has a longest palindrome that is at least the length of the longest palindrome centered on the "b" before the "c". There are some ...