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Grokking the Coding Interview Patterns in C++

Solution: Longest Subsequence With Limited Sum

Learn to determine the longest subsequence within an array whose sum does not exceed given query values by applying sorting, prefix sums, and binary search techniques. This lesson helps you implement an efficient solution with optimal time and space complexity, essential for coding interviews.

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Statement

You are given an integer array, nums, of length n, and an integer array, queries, of length m.

For each element in queries, determine the maximum number of elements that can be selected from nums to form a subsequenceA subsequence is formed by removing zero or more elements from the array without changing the order of the remaining elements. such that the sum of the selected elements is less than or equal to the query value.

Return an array answer of length m, where answer[i] represents the size of the largest subsequence of nums whose sum is less than or equal to queries[i].

Constraints

  • n ==== nums.length

  • m ==== queries.length

  • 1≤1 \leq n, m ≤103\leq 10^3 ...