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Solution: Longest Subsequence With Limited Sum

Explore how to determine the maximum size subsequence in an integer array where the sum does not exceed given queries. This lesson teaches sorting the array, creating prefix sums, and applying binary search to solve the problem efficiently. You will understand the step-by-step approach to compute subsequence lengths, grasp time and space complexities, and implement the solution for interview coding challenges.

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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 ...