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Grokking the Coding Interview Patterns in Go

Solution: Longest Subsequence With Limited Sum

Understand how to solve the longest subsequence with limited sum problem using sorting and binary search. Explore constructing prefix sums and applying binary search for each query to efficiently determine the maximum subsequence length where the sum remains within the given constraint.

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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

  • ...