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  2. Maximum subarray problem - Wikipedia

    en.wikipedia.org/wiki/Maximum_subarray_problem

    In this case, the array from which samples are taken is [2, 3, -1, -20, 5, 10]. In computer science, the maximum sum subarray problem, also known as the maximum segment sum problem, is the task of finding a contiguous subarray with the largest sum, within a given one-dimensional array A[1...n] of numbers.

  3. Range (computer programming) - Wikipedia

    en.wikipedia.org/wiki/Range_(computer_programming)

    Depending on the environment, a warning, a fatal exception, or unpredictable behavior will occur if the program attempts to access an array element that is outside the range. In some programming languages , such as C , arrays have a fixed lower bound (zero) and will contain data at each position up to the upper bound (so an array with 5 ...

  4. Longest common substring - Wikipedia

    en.wikipedia.org/wiki/Longest_common_substring

    One can find the lengths and starting positions of the longest common substrings of and in (+) time with the help of a generalized suffix tree. A faster algorithm can be achieved in the word RAM model of computation if the size σ {\displaystyle \sigma } of the input alphabet is in 2 o ( log ⁡ ( n + m ) ) {\displaystyle 2^{o\left({\sqrt {\log ...

  5. Longest increasing subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_increasing_subsequence

    P = array of length N M = array of length N + 1 M[0] = -1 // undefined so can be set to any value L = 0 for i in range 0 to N-1: //N-1 included // Binary search for the smallest positive l ≤ L // such that X[M[l]] >= X[i] lo = 1 hi = L + 1 while lo < hi: mid = lo + floor((hi-lo)/2) // lo <= mid < hi if X[M[mid]] >= X[i] hi = mid else: // if X ...

  6. Range query (computer science) - Wikipedia

    en.wikipedia.org/wiki/Range_query_(computer_science)

    Given a function that accepts an array, a range query (,) on an array = [,..,] takes two indices and and returns the result of when applied to the subarray [, …,].For example, for a function that returns the sum of all values in an array, the range query ⁡ (,) returns the sum of all values in the range [,].

  7. LCP array - Wikipedia

    en.wikipedia.org/wiki/LCP_array

    The LCP array is also an essential part of compressed suffix trees which provide full suffix tree functionality like suffix links and lowest common ancestor queries. [5] [6] Furthermore, it can be used together with the suffix array to compute the Lempel-Ziv LZ77 factorization in () time. [2] [7] [8] [9]

  8. Range minimum query - Wikipedia

    en.wikipedia.org/wiki/Range_minimum_query

    Range minimum query reduced to the lowest common ancestor problem.. Given an array A[1 … n] of n objects taken from a totally ordered set, such as integers, the range minimum query RMQ A (l,r) =arg min A[k] (with 1 ≤ l ≤ k ≤ r ≤ n) returns the position of the minimal element in the specified sub-array A[l …

  9. Array (data structure) - Wikipedia

    en.wikipedia.org/wiki/Array_(data_structure)

    Some array data structures do not reallocate storage, but do store a count of the number of elements of the array in use, called the count or size. This effectively makes the array a dynamic array with a fixed maximum size or capacity; Pascal strings are examples of this.