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Problem: Longest Subsequence With Limited Sum

Medium
30 min
Explore how to determine the longest subsequence within an array where the sum of elements does not exceed given query limits. Learn to use sorting and searching strategies like binary search and two-pointer methods, enabling you to solve these types of constrained sum problems effectively.

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

  • 11 \leq n, m 103\leq 10^3

  • 11 \leq nums[i], queries[i] 105\leq 10^5

Problem
Ask
Submissions

Problem: Longest Subsequence With Limited Sum

Medium
30 min
Explore how to determine the longest subsequence within an array where the sum of elements does not exceed given query limits. Learn to use sorting and searching strategies like binary search and two-pointer methods, enabling you to solve these types of constrained sum problems effectively.

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

  • 11 \leq n, m 103\leq 10^3

  • 11 \leq nums[i], queries[i] 105\leq 10^5