Array Range Queries Last Updated : 23 Jul, 2025 Comments Improve Suggest changes Like Article Like Report The array range query problem can be defined as follows: Given an array of numbers, the array range query problem is to build a data structure that can efficiently answer queries of a particular type mentioned in terms of an interval of the indices. The specific query can be of type - maximum element in the given range, most frequent element in the given range or queries like these. Types of Array Range Queries:Array range queries can be classified based on the type of input provided and on the type of output: 1. Based on the type of input:The value of interest is completely determined by the problem, in this case, the query consists of only a range of indices.A single value of interest is provided in the query.The query consists of a threshold where all the values above or below the threshold are of interest.The query consists of an exact threshold value.2. Based on the type of output:Returns a single value matching the criteria.Index of an element that matches the criteria provided in the query.A list of all values that satisfy the given criteria.Only a response like "yes" or "no" denoting if there is any result matching the criteria of the query.Easy Problems on Array range Queries:Range sum queries without updatesRange Queries for Frequencies of array elementsRange LCM QueriesCount Primes in RangesQueries for number of distinct elements in a subarrayMean of range in arrayCheck in binary array the number represented by a subarray is odd or evenTotal numbers with no repeated digits in a rangeQueries for counts of array elements with values in given rangeQueries for decimal values of subarrays of a binary arrayGCDs of given index ranges in an arrayQueries on probability of even or odd number in given rangesMedium Problems on Array range Queries:Difference Array | Range update query in O(1)Range sum query using Sparse TableNumber of indexes with equal elements in given rangeConstant time range add operation on an arrayNumber whose sum of XOR with given array range is maximumNumber of primes in a subarray (with updates)Print modified array after executing the commands of addition and subtractionSum of Interval and Update with Number of DivisorsQueries on XOR of greatest odd divisor of the rangePrint modified array after multiple array range increment operationsBinary array after M range toggle operationsHard Problems on Array range Queries:Sparse TableMO’s AlgorithmSqrt (or Square Root) Decomposition Technique | Set 1 (Introduction)Range Minimum Query (Square Root Decomposition and Sparse Table)Number of elements less than or equal to a given number in a given subarrayNumber of elements less than or equal to a given number in a given subarray | Set 2 (Including Updates)Array range queries over range queriesArray range queries for searching an elementMaximum Occurrence in a Given RangeMerge Sort Tree for Range Order StatisticsCount and Toggle Queries on a Binary ArrayMin-Max Range Queries in ArrayRange Query on array whose each element is XOR of index value and previous elementCount elements which divide all numbers in range L-RQueries for GCD of all numbers of an array except elements in a given rangeXOR of numbers that appeared even number of times in given RangeQuick Links : 'Practice Problems' on Arrays 'Quizzes' on Arrays 'Video Tutorials' on Arrays Comment More infoAdvertise with us H harendrakumar123 Follow Improve Article Tags : DSA Arrays array-range-queries Practice Tags : Arrays Similar Reads Basics & PrerequisitesLogic Building ProblemsLogic building is about creating clear, step-by-step methods to solve problems using simple rules and principles. 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