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Thus, the palindrome at Center will run exactly up to the border of the "Old" palindrome, because the next character will be different than the one inside the palindrome at MirroredCenter. For example, if the string was "ababc", the "Old" palindrome could be "bab" with the Center being the second "b" and the MirroredCenter being the
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 ...
The longest common substrings of a set of strings can be found by building a generalized suffix tree for the strings, and then finding the deepest internal nodes which have leaf nodes from all the strings in the subtree below it. The figure on the right is the suffix tree for the strings "ABAB", "BABA" and "ABBA", padded with unique string ...
Accordingly, no number that consists only of a string of repetitions of the same digit in at least one base, can be a prime unless it is a string of 1s in that base. Furthermore, the string must be of prime length, otherwise, if the string is of length mXn, it is divisible by strings of lengths m and n in that base. For example 111111111111111 ...
A palindrome is a word, number, phrase, ... It is possible to find the longest palindromic substring of a given input string in linear time. [55] [56]
String search, in O(m) complexity, where m is the length of the sub-string (but with initial O(n) time required to build the suffix tree for the string) Finding the longest repeated substring; Finding the longest common substring; Finding the longest palindrome in a string
A pushdown automaton reads a given input string from left to right. In each step, it chooses a transition by indexing a table by input symbol, current state, and the symbol at the top of the stack. A pushdown automaton can also manipulate the stack, as part of performing a transition.
A simple translation of a context-free grammar into a GCFG can be performed in the following fashion. Given the grammar in (), which generates the palindrome language {: {,}}, where is the string reverse of , we can define the composition function conc as in and the rewrite rules as in ().