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Solution: Longest Subsequence With Limited Sum

Explore how to determine the longest subsequence in an array whose sum is less than or equal to a given query using sorting, prefix sums, and binary search. This lesson helps you understand how to apply these techniques to optimize solutions and handle multiple queries efficiently.

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

  • ...