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leetcode-problemset/leetcode-cn/originData/longest-subsequence-with-limited-sum.json
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{
"data": {
"question": {
"questionId": "2469",
"questionFrontendId": "2389",
"categoryTitle": "Algorithms",
"boundTopicId": 1774484,
"title": "Longest Subsequence With Limited Sum",
"titleSlug": "longest-subsequence-with-limited-sum",
"content": "<p>You are given an integer array <code>nums</code> of length <code>n</code>, and an integer array <code>queries</code> of length <code>m</code>.</p>\n\n<p>Return <em>an array </em><code>answer</code><em> of length </em><code>m</code><em> where </em><code>answer[i]</code><em> is the <strong>maximum</strong> size of a <strong>subsequence</strong> that you can take from </em><code>nums</code><em> such that the <strong>sum</strong> of its elements is less than or equal to </em><code>queries[i]</code>.</p>\n\n<p>A <strong>subsequence</strong> is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,5,2,1], queries = [3,10,21]\n<strong>Output:</strong> [2,3,4]\n<strong>Explanation:</strong> We answer the queries as follows:\n- 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.\n- 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.\n- 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.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,3,4,5], queries = [1]\n<strong>Output:</strong> [0]\n<strong>Explanation:</strong> The empty subsequence is the only subsequence that has a sum less than or equal to 1, so answer[0] = 0.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>m == queries.length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i], queries[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "和有限的最长子序列",
"translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的整数数组 <code>nums</code> ,和一个长度为 <code>m</code> 的整数数组 <code>queries</code> 。</p>\n\n<p>返回一个长度为 <code>m</code> 的数组<em> </em><code>answer</code><em> </em>,其中<em> </em><code>answer[i]</code><em> </em>是 <code>nums</code> 中<span style=\"\"> </span>元素之和小于等于 <code>queries[i]</code> 的 <strong>子序列</strong> 的 <strong>最大</strong> 长度<span style=\"\">&nbsp;</span><span style=\"\"> </span>。</p>\n\n<p><strong>子序列</strong> 是由一个数组删除某些元素(也可以不删除)但不改变剩余元素顺序得到的一个数组。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [4,5,2,1], queries = [3,10,21]\n<strong>输出:</strong>[2,3,4]\n<strong>解释:</strong>queries 对应的 answer 如下:\n- 子序列 [2,1] 的和小于或等于 3 。可以证明满足题目要求的子序列的最大长度是 2 ,所以 answer[0] = 2 。\n- 子序列 [4,5,1] 的和小于或等于 10 。可以证明满足题目要求的子序列的最大长度是 3 ,所以 answer[1] = 3 。\n- 子序列 [4,5,2,1] 的和小于或等于 21 。可以证明满足题目要求的子序列的最大长度是 4 ,所以 answer[2] = 4 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [2,3,4,5], queries = [1]\n<strong>输出:</strong>[0]\n<strong>解释:</strong>空子序列是唯一一个满足元素和小于或等于 1 的子序列,所以 answer[0] = 0 。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>m == queries.length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i], queries[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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"hints": [
"Solve each query independently.",
"When solving a query, which elements of nums should you choose to make the subsequence as long as possible?",
"Choose the smallest elements in nums that add up to a sum less than the query."
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