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Otherwise, most of these routines will return a positive or negative result corresponding to whether string 1 is lexicographically greater than, or less than, respectively, than string 2. The exceptions are the Scheme and Rexx routines which return the index of the first mismatch, and Smalltalk which answer a comparison code telling how the ...
If is a substring of , it is also a subsequence, which is a more general concept. The occurrences of a given pattern in a given string can be found with a string searching algorithm. Finding the longest string which is equal to a substring of two or more strings is known as the longest common substring problem.
In computer science, a substring index is a data structure which gives substring search in a text or text collection in sublinear time. Once constructed from a document or set of documents, a substring index can be used to locate all occurrences of a pattern in time linear or near-linear in the pattern size, with no dependence or only logarithmic dependence on the document size.
The hash function described here is not a Rabin fingerprint, but it works equally well. It treats every substring as a number in some base, the base being usually the size of the character set. For example, if the substring is "hi", the base is 256, and prime modulus is 101, then the hash value would be
The picture shows two strings where the problem has multiple solutions. Although the substring occurrences always overlap, it is impossible to obtain a longer common substring by "uniting" them. The strings "ABABC", "BABCA" and "ABCBA" have only one longest common substring, viz. "ABC" of length 3.
The numbers in the leaves give the start position of the corresponding suffix. Suffix links, drawn dashed, are used during construction. In computer science , a suffix tree (also called PAT tree or, in an earlier form, position tree ) is a compressed trie containing all the suffixes of the given text as their keys and positions in the text as ...
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An efficient algorithm was proposed by Booth (1980). [2] The algorithm uses a modified preprocessing function from the Knuth–Morris–Pratt string search algorithm.The failure function for the string is computed as normal, but the string is rotated during the computation so some indices must be computed more than once as they wrap around.