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g2301_2400.s2389_longest_subsequence_with_limited_sum.readme.md Maven / Gradle / Ivy

2389\. Longest Subsequence With Limited Sum

Easy

You are given an integer array `nums` of length `n`, and an integer array `queries` of length `m`.

Return _an array_ `answer` _of length_ `m` _where_ `answer[i]` _is the **maximum** size of a **subsequence** that you can take from_ `nums` _such that the **sum** of its elements is less than or equal to_ `queries[i]`.

A **subsequence** is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.

**Example 1:**

**Input:** nums = [4,5,2,1], queries = [3,10,21]

**Output:** [2,3,4]

**Explanation:** We answer the queries as follows:

- The subsequence [2,1] has a sum less than or equal to 3. It can be proven that 2 is the maximum size of such a subsequence, so answer[0] = 2.

- The subsequence [4,5,1] has a sum less than or equal to 10. It can be proven that 3 is the maximum size of such a subsequence, so answer[1] = 3.

- The subsequence [4,5,2,1] has a sum less than or equal to 21. It can be proven that 4 is the maximum size of such a subsequence, so answer[2] = 4. 

**Example 2:**

**Input:** nums = [2,3,4,5], queries = [1]

**Output:** [0]

**Explanation:** The empty subsequence is the only subsequence that has a sum less than or equal to 1, so answer[0] = 0.

**Constraints:**

*   `n == nums.length`
*   `m == queries.length`
*   `1 <= n, m <= 1000`
*   1 <= nums[i], queries[i] <= 106