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What will be the worst case time complexity of code to find sum in given query range (l,r) in an array of size n with q number of such queries when we apply MO’s algorithm?

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What will be the worst case time complexity of code to find sum in given query range (l,r) in an array of size n with q number of such queries when we apply MO’s algorithm?

(a) O(n*q)

(b) O(n)

(c) O((q+n)√n)

(d) O(q*√n)

The question was asked in an interview for internship.

This question is from Miscellaneous in portion Miscellaneous of Data Structures & Algorithms II

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Correct option is (c) O((q+n)√n)

For explanation: Mo’s algorithm requires O(q*√n) + O(n*√n) time for processing all the queries. It is better than the naive solution where O(n*q) time is required.

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