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A Fenwick tree or binary indexed tree (BIT) is a data structure that can efficiently update values and calculate prefix sums in an array of values. This structure was proposed by Boris Ryabko in 1989 [ 1] with a further modification published in 1992. [ 2] It has subsequently become known under the name Fenwick tree after Peter Fenwick, who ...
Prefix sums are trivial to compute in sequential models of computation, by using the formula y i = y i − 1 + x i to compute each output value in sequence order. However, despite their ease of computation, prefix sums are a useful primitive in certain algorithms such as counting sort, [1] [2] and they form the basis of the scan higher-order function in functional programming languages.
Each complete English word has an arbitrary integer value associated with it. In computer science, a trie ( / ˈtraɪ /, / ˈtriː / ), also called digital tree or prefix tree, [ 1] is a type of k -ary search tree, a tree data structure used for locating specific keys from within a set. These keys are most often strings, with links between ...
A substring of a string is a prefix of a suffix of the string, and equivalently a suffix of a prefix; for example, nan is a prefix of nana, which is in turn a suffix of banana. 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 ...
String-searching algorithm. In computer science, string-searching algorithms, sometimes called string-matching algorithms, are an important class of string algorithms that try to find a place where one or several strings (also called patterns) are found within a larger string or text. A basic example of string searching is when the pattern and ...
Naming convention (programming) In computer programming, a naming convention is a set of rules for choosing the character sequence to be used for identifiers which denote variables, types, functions, and other entities in source code and documentation . Reasons for using a naming convention (as opposed to allowing programmers to choose any ...
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]. Thus all the longest common substrings would be, for each i in ret, S[(ret[i]-z)..(ret[i])] . The following tricks can be used to reduce the memory usage of an implementation:
Jakarta Standard Tag Library. The Jakarta Standard Tag Library ( JSTL; formerly JavaServer Pages Standard Tag Library) is a component of the Java EE Web application development platform. It extends the JSP specification by adding a tag library of JSP tags for common tasks, such as XML data processing, conditional execution, database access ...