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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 … r].
A range minimum query , is the lowest common ancestor in of and . Because the lowest common ancestor can be solved in constant time using a pre-processing of time and space O ( n ) {\displaystyle O(n)} , range minimum query can as well.
There are several problems based on range minimum query.Generally we have lots of method but in computer science "time and memory" used matters ,so to solve the problems within time and memory limit,a very good technique is used which is implemented by various data structure and famous one segment tree.Here i am just discussing one problem that has been asked in various online programming ...
In computer science, the range searching problem consists of processing a set S of objects, in order to determine which objects from S intersect with a query object, called the range. For example, if S is a set of points corresponding to the coordinates of several cities, find the subset of cities within a given range of latitudes and longitudes .
It uses an idea similar to that for range-minimum queries; there are a constant number of recursions before stopping at a subproblem of a limited size. The bit array B {\displaystyle B} is partitioned into large blocks of size l = lg 2 n {\displaystyle l=\lg ^{2}n} bits and small blocks of size s = lg n / 2 {\displaystyle s=\lg n/2} bits.
This contrasts with other range query problems, such as the range minimum query which have solutions offering constant time query time and linear space. This is due to the hardness of the mode problem, since even if we know the mode of A [ i : j ] {\displaystyle A[i:j]} and the mode of A [ j + 1 : k ] {\displaystyle A[j+1:k]} , there is no ...
News that Department of Government Efficiency led by Elon Musk now has access to a government payment system that is responsible for $6 trillion in annual federal payments — including Social ...
Another meaning of range in computer science is an alternative to iterator. When used in this sense, range is defined as "a pair of begin/end iterators packed together". [1] It is argued [1] that "Ranges are a superior abstraction" (compared to iterators) for several reasons, including better safety.