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Solution: Longest Subsequence With Limited Sum

Explore how to solve the problem of finding the longest subsequence in an array whose sum does not exceed given query limits. Learn to apply sorting and prefix sums combined with binary search to efficiently determine subsequence lengths for multiple queries. This lesson enhances problem-solving skills for coding interviews by teaching an optimized approach with clear time and space complexity insights.

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

  • ...