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The suffix array of the string is an array of n integers in the range of 0 to n that represents the n+1 suffixes of the string including the special character #. The suffix array is composed of two arrays: pos array pos[1,...n]: It represents a sorted list of all S suffixes.
{{remove file prefix|Image:Example.svg}} → Example.svg {{remove file prefix|IMAGE:Example.svg}} → Example.svg {{remove file prefix|Other:Example.svg}} → Other:Example.svg. This technically works for any valid namespace, but is rarely needed there: {{remove file prefix|Portal talk:Example.svg}} → Example.svg. It will also strip interwiki ...
Insertion into trie is guided by using the character sets as indexes to the children array until the last character of the string key is reached. [ 14 ] : 733-734 Each node in the trie corresponds to one call of the radix sorting routine, as the trie structure reflects the execution of pattern of the top-down radix sort.
If the search string is consumed and the final node is a black node, the search has failed; if it is white, the search has succeeded. This enables us to add a large range of strings with a common prefix to the tree, using white nodes, then remove a small set of "exceptions" in a space-efficient manner by inserting them using black nodes.
The string spelled by the edges from the root to such a node is a longest repeated substring. The problem of finding the longest substring with at least k {\displaystyle k} occurrences can be solved by first preprocessing the tree to count the number of leaf descendants for each internal node, and then finding the deepest node with at least k ...
A string s is said to be a prefix of t if there exists a string u such that t = su. If u is nonempty, s is said to be a proper prefix of t. Symmetrically, a string s is said to be a suffix of t if there exists a string u such that t = us. If u is nonempty, s is said to be a proper suffix of t. Suffixes and prefixes are substrings of t.
A string is a prefix [1] of a string if there exists a string such that =. A proper prefix of a string is not equal to the string itself; [2] some sources [3] in addition restrict a proper prefix to be non-empty. A prefix can be seen as a special case of a substring.
P denotes the string to be searched for, called the pattern. Its length is m. S[i] denotes the character at index i of string S, counting from 1. S[i..j] denotes the substring of string S starting at index i and ending at j, inclusive. A prefix of S is a substring S[1..i] for some i in range [1, l], where l is the length of S.