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Grokking the Coding Interview Patterns in C++

Solution: Longest Subsequence With Limited Sum

Explore how to determine the maximum length subsequence from an array whose elements sum up to a value within each query limit. Learn to sort the input array, build a prefix sum array, and use binary search efficiently. Understand the algorithm’s step-by-step approach, time complexity, and space complexity to solve longest subsequence sum problems.

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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

  • ...