leetcode-problemset/leetcode-cn/originData/maximum-matching-of-players-with-trainers.json

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            "questionId": "2497",
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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\n<p>&nbsp;</p>\n<p><strong>Note:</strong> This question is the same as <a href=\"https://leetcode.com/problems/assign-cookies/description/\" target=\"_blank\"> 445: Assign Cookies.</a></p>\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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\\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.11<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 3.3.1<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.9.0<\\/code><\\/p>\\r\\n\\r\\n<p>\\u6211\\u4eec\\u4f7f\\u7528\\u7684\\u662f JetBrains \\u63d0\\u4f9b\\u7684 experimental compiler\\u3002\\u5982\\u679c\\u60a8\\u8ba4\\u4e3a\\u60a8\\u9047\\u5230\\u4e86\\u7f16\\u8bd1\\u5668\\u76f8\\u5173\\u7684\\u95ee\\u9898\\uff0c\\u8bf7\\u5411\\u6211\\u4eec\\u53cd\\u9988<\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.79.0<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a> \\u548c <a href=\\\"https:\\/\\/crates.io\\/crates\\/regex\\\" target=\\\"_blank\\\">regex<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.2<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 5.1.6<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022<\\/p>\\r\\n\\r\\n<p><a href=\\\"https:\\/\\/lodash.com\\\" target=\\\"_blank\\\">lodash.js<\\/a> \\u5e93\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5305\\u542b\\u3002<\\/p>\\r\\n\\r\\n<p> \\u5982\\u9700\\u4f7f\\u7528\\u961f\\u5217\\/\\u4f18\\u5148\\u961f\\u5217\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/priority-queue\\/blob\\/v5\\/README.md\\\" target=\\\"_blank\\\"> datastructures-js\\/priority-queue@5.4.0<\\/a>\\uff0c<a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\/tree\\/v4.2.3\\\" target=\\\"_blank\\\"> datastructures-js\\/queue@4.2.3<\\/a> \\u4ee5\\u53ca <a href=\\\"https:\\/\\/github.com\\/datastructures-js\\/deque\\/tree\\/v1.0.4\\\" target=\\\"_blank\\\"> datastructures-js\\/deque@1.0.4<\\/a>\\u3002<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.15<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 26\"],\"elixir\":[\"Elixir\",\"Elixir 1.17 with Erlang\\/OTP 26\"],\"dart\":[\"Dart\",\"<p>Dart 3.2\\u3002\\u60a8\\u53ef\\u4ee5\\u4f7f\\u7528 <a href=\\\"https:\\/\\/pub.dev\\/packages\\/collection\\/versions\\/1.18.0\\\" target=\\\"_blank\\\">collection<\\/a> \\u5305<\\/p>\\r\\n\\r\\n<p>\\u60a8\\u7684\\u4ee3\\u7801\\u5c06\\u4f1a\\u88ab\\u4e0d\\u7f16\\u8bd1\\u76f4\\u63a5\\u8fd0\\u884c<\\/p>\"],\"cangjie\":[\"Cangjie\",\"<p>\\u7248\\u672c\\uff1a0.53.11 (cjnative)<\\/p>\\r\\n\\r\\n<p>\\u7f16\\u8bd1\\u53c2\\u6570\\uff1a<code>-O2 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