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In computer science, the longest palindromic substring or longest symmetric factor problem is the problem of finding a maximum-length contiguous substring of a given string that is also a palindrome. For example, the longest palindromic substring of "bananas" is "anana". The longest palindromic substring is not guaranteed to be unique; for ...
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].
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 ...
LCS(R 1, C 1) is determined by comparing the first elements in each sequence. G and A are not the same, so this LCS gets (using the "second property") the longest of the two sequences, LCS(R 1, C 0) and LCS(R 0, C 1). According to the table, both of these are empty, so LCS(R 1, C 1) is also empty, as shown in the
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 ...
ROUGE, or Recall-Oriented Understudy for Gisting Evaluation, [1] is a set of metrics and a software package used for evaluating automatic summarization and machine translation software in natural language processing. The metrics compare an automatically produced summary or translation against a reference or a set of references (human-produced ...
The correct statement of the second property is The LCS of X and Y are the longest sequences contained in LCS(Xm – 1, Y) or LCS(X, Yn – 1). The statement that LCS(Xm – 1, Y) and LCS(X, Yn – 1) will both produce an LCS, as the example suggests, is false. Take for example X = AGT and Y = ATC. LCS(Xm – 1, Y) = A and LCS(X, Yn – 1) = AT.
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 ...