leetcode-problemset/leetcode-cn/originData/find-the-number-of-distinct-colors-among-the-balls.json

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        "question": {
            "questionId": "3434",
            "questionFrontendId": "3160",
            "categoryTitle": "Algorithms",
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            "title": "Find the Number of Distinct Colors Among the Balls",
            "titleSlug": "find-the-number-of-distinct-colors-among-the-balls",
            "content": "<p>You are given an integer <code>limit</code> and a 2D array <code>queries</code> of size <code>n x 2</code>.</p>\n\n<p>There are <code>limit + 1</code> balls with <strong>distinct</strong> labels in the range <code>[0, limit]</code>. Initially, all balls are uncolored. For every query in <code>queries</code> that is of the form <code>[x, y]</code>, you mark ball <code>x</code> with the color <code>y</code>. After each query, you need to find the number of <strong>distinct</strong> colors among the balls.</p>\n\n<p>Return an array <code>result</code> of length <code>n</code>, where <code>result[i]</code> denotes the number of distinct colors <em>after</em> <code>i<sup>th</sup></code> query.</p>\n\n<p><strong>Note</strong> that when answering a query, lack of a color <em>will not</em> be considered as a color.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">limit = 4, queries = [[1,4],[2,5],[1,3],[3,4]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,2,2,3]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop.gif\" style=\"width: 455px; height: 145px;\" /></p>\n\n<ul>\n\t<li>After query 0, ball 1 has color 4.</li>\n\t<li>After query 1, ball 1 has color 4, and ball 2 has color 5.</li>\n\t<li>After query 2, ball 1 has color 3, and ball 2 has color 5.</li>\n\t<li>After query 3, ball 1 has color 3, ball 2 has color 5, and ball 3 has color 4.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">limit = 4, queries = [[0,1],[1,2],[2,2],[3,4],[4,5]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,2,2,3,4]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop2.gif\" style=\"width: 457px; height: 144px;\" /></strong></p>\n\n<ul>\n\t<li>After query 0, ball 0 has color 1.</li>\n\t<li>After query 1, ball 0 has color 1, and ball 1 has color 2.</li>\n\t<li>After query 2, ball 0 has color 1, and balls 1 and 2 have color 2.</li>\n\t<li>After query 3, ball 0 has color 1, balls 1 and 2 have color 2, and ball 3 has color 4.</li>\n\t<li>After query 4, ball 0 has color 1, balls 1 and 2 have color 2, ball 3 has color 4, and ball 4 has color 5.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= limit &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= n == queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i].length == 2</code></li>\n\t<li><code>0 &lt;= queries[i][0] &lt;= limit</code></li>\n\t<li><code>1 &lt;= queries[i][1] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "所有球里面不同颜色的数目",
            "translatedContent": "<p>给你一个整数&nbsp;<code>limit</code>&nbsp;和一个大小为 <code>n x 2</code>&nbsp;的二维数组&nbsp;<code>queries</code>&nbsp;。</p>\n\n<p>总共有&nbsp;<code>limit + 1</code>&nbsp;个球，每个球的编号为&nbsp;<code>[0, limit]</code>&nbsp;中一个&nbsp;<strong>互不相同</strong>&nbsp;的数字。一开始，所有球都没有颜色。<code>queries</code>&nbsp;中每次操作的格式为&nbsp;<code>[x, y]</code>&nbsp;，你需要将球&nbsp;<code>x</code>&nbsp;染上颜色&nbsp;<code>y</code>&nbsp;。每次操作之后，你需要求出所有球中&nbsp;<strong>不同</strong>&nbsp;颜色的数目。</p>\n\n<p>请你返回一个长度为 <code>n</code>&nbsp;的数组&nbsp;<code>result</code>&nbsp;，其中&nbsp;<code>result[i]</code>&nbsp;是第 <code>i</code>&nbsp;次操作以后不同颜色的数目。</p>\n\n<p><strong>注意</strong>&nbsp;，没有染色的球不算作一种颜色。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>limit = 4, queries = [[1,4],[2,5],[1,3],[3,4]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>[1,2,2,3]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop.gif\" style=\"width: 455px; height: 145px;\" /></p>\n\n<ul>\n\t<li>操作 0&nbsp;后，球 1 颜色为 4 。</li>\n\t<li>操作 1 后，球 1 颜色为&nbsp;4 ，球 2 颜色为 5 。</li>\n\t<li>操作 2 后，球 1 颜色为 3 ，球 2 颜色为 5 。</li>\n\t<li>操作 3 后，球 1 颜色为 3 ，球 2 颜色为 5 ，球 3 颜色为 4 。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>limit = 4, queries = [[0,1],[1,2],[2,2],[3,4],[4,5]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>[1,2,2,3,4]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop2.gif\" style=\"width: 457px; height: 144px;\" /></strong></p>\n\n<ul>\n\t<li>操作 0&nbsp;后，球 0&nbsp;颜色为 1&nbsp;。</li>\n\t<li>操作 1&nbsp;后，球 0&nbsp;颜色为 1 ，球 1 颜色为 2 。</li>\n\t<li>操作 2&nbsp;后，球 0&nbsp;颜色为 1 ，球 1 和 2&nbsp;颜色为 2 。</li>\n\t<li>操作 3 后，球 0&nbsp;颜色为 1 ，球 1 和 2&nbsp;颜色为 2 ，球 3 颜色为 4 。</li>\n\t<li>操作 4&nbsp;后，球 0&nbsp;颜色为 1 ，球 1 和 2&nbsp;颜色为 2 ，球 3 颜色为 4 ，球 4 颜色为 5 。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= limit &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= n == queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i].length == 2</code></li>\n\t<li><code>0 &lt;= queries[i][0] &lt;= limit</code></li>\n\t<li><code>1 &lt;= queries[i][1] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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