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leetcode-problemset/leetcode-cn/originData/maximum-matching-of-players-with-trainers.json
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"question": {
"questionId": "2497",
"questionFrontendId": "2410",
"categoryTitle": "Algorithms",
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"title": "Maximum Matching of Players With Trainers",
"titleSlug": "maximum-matching-of-players-with-trainers",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>players</code>, where <code>players[i]</code> represents the <strong>ability</strong> of the <code>i<sup>th</sup></code> player. You are also given a <strong>0-indexed</strong> integer array <code>trainers</code>, where <code>trainers[j]</code> represents the <strong>training capacity </strong>of the <code>j<sup>th</sup></code> trainer.</p>\n\n<p>The <code>i<sup>th</sup></code> player can <strong>match</strong> with the <code>j<sup>th</sup></code> trainer if the player&#39;s ability is <strong>less than or equal to</strong> the trainer&#39;s training capacity. Additionally, the <code>i<sup>th</sup></code> player can be matched with at most one trainer, and the <code>j<sup>th</sup></code> trainer can be matched with at most one player.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of matchings between </em><code>players</code><em> and </em><code>trainers</code><em> that satisfy these conditions.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> players = [4,7,9], trainers = [8,2,5,8]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nOne of the ways we can form two matchings is as follows:\n- players[0] can be matched with trainers[0] since 4 &lt;= 8.\n- players[1] can be matched with trainers[3] since 7 &lt;= 8.\nIt can be proven that 2 is the maximum number of matchings that can be formed.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> players = [1,1,1], trainers = [10]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nThe trainer can be matched with any of the 3 players.\nEach player can only be matched with one trainer, so the maximum answer is 1.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= players.length, trainers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= players[i], trainers[j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "运动员和训练师的最大匹配数",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>players</code>&nbsp;,其中&nbsp;<code>players[i]</code>&nbsp;表示第 <code>i</code>&nbsp;名运动员的 <strong>能力</strong>&nbsp;值,同时给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>trainers</code>&nbsp;,其中&nbsp;<code>trainers[j]</code>&nbsp;表示第 <code>j</code>&nbsp;名训练师的 <strong>训练能力值</strong>&nbsp;。</p>\n\n<p>如果第 <code>i</code>&nbsp;名运动员的能力值 <strong>小于等于</strong>&nbsp;第 <code>j</code>&nbsp;名训练师的能力值,那么第&nbsp;<code>i</code>&nbsp;名运动员可以 <strong>匹配</strong>&nbsp;第&nbsp;<code>j</code>&nbsp;名训练师。除此以外,每名运动员至多可以匹配一位训练师,每位训练师最多可以匹配一位运动员。</p>\n\n<p>请你返回满足上述要求&nbsp;<code>players</code>&nbsp;和 <code>trainers</code>&nbsp;的 <strong>最大</strong> 匹配数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>players = [4,7,9], trainers = [8,2,5,8]\n<b>输出:</b>2\n<b>解释:</b>\n得到两个匹配的一种方案是\n- players[0] 与 trainers[0] 匹配,因为 4 &lt;= 8 。\n- players[1] 与 trainers[3] 匹配,因为 7 &lt;= 8 。\n可以证明 2 是可以形成的最大匹配数。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>players = [1,1,1], trainers = [10]\n<b>输出:</b>1\n<b>解释:</b>\n训练师可以匹配所有 3 个运动员\n每个运动员至多只能匹配一个训练师所以最大答案是 1 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= players.length, trainers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= players[i], trainers[j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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