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Grokking the Coding Interview Patterns in Python

Solution: Longest Subsequence With Limited Sum

Understand how to solve subsequence sum problems efficiently by sorting the array, building prefix sums, and using binary search to answer multiple queries. This lesson helps you grasp the algorithmic approach to find the maximum length subsequence within given sum constraints, improving your problem-solving skills in coding interviews.

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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 ...