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leetcode-problemset/leetcode-cn/originData/flower-planting-with-no-adjacent.json
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"questionId": "1120",
"questionFrontendId": "1042",
"categoryTitle": "Algorithms",
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"title": "Flower Planting With No Adjacent",
"titleSlug": "flower-planting-with-no-adjacent",
"content": "<p>You have <code>n</code> gardens, labeled from <code>1</code> to <code>n</code>, and an array <code>paths</code> where <code>paths[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> describes a bidirectional path between garden <code>x<sub>i</sub></code> to garden <code>y<sub>i</sub></code>. In each garden, you want to plant one of 4 types of flowers.</p>\n\n<p>All gardens have <strong>at most 3</strong> paths coming into or leaving it.</p>\n\n<p>Your task is to choose a flower type for each garden such that, for any two gardens connected by a path, they have different types of flowers.</p>\n\n<p>Return <em><strong>any</strong> such a choice as an array </em><code>answer</code><em>, where </em><code>answer[i]</code><em> is the type of flower planted in the </em><code>(i+1)<sup>th</sup></code><em> garden. The flower types are denoted </em><code>1</code><em>, </em><code>2</code><em>, </em><code>3</code><em>, or </em><code>4</code><em>. It is guaranteed an answer exists.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, paths = [[1,2],[2,3],[3,1]]\n<strong>Output:</strong> [1,2,3]\n<strong>Explanation:</strong>\nGardens 1 and 2 have different types.\nGardens 2 and 3 have different types.\nGardens 3 and 1 have different types.\nHence, [1,2,3] is a valid answer. Other valid answers include [1,2,4], [1,4,2], and [3,2,1].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, paths = [[1,2],[3,4]]\n<strong>Output:</strong> [1,2,1,2]\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]]\n<strong>Output:</strong> [1,2,3,4]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= paths.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>paths[i].length == 2</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= n</code></li>\n\t<li><code>x<sub>i</sub> != y<sub>i</sub></code></li>\n\t<li>Every garden has <strong>at most 3</strong> paths coming into or leaving it.</li>\n</ul>\n",
"translatedTitle": "不邻接植花",
"translatedContent": "<p>有 <code>n</code> 个花园,按从&nbsp;<code>1</code>&nbsp;到 <code>n</code> 标记。另有数组 <code>paths</code> ,其中 <code>paths[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>&nbsp;描述了花园&nbsp;<code>x<sub>i</sub></code> 到花园&nbsp;<code>y<sub>i</sub></code> 的双向路径。在每个花园中,你打算种下四种花之一。</p>\n\n<p>另外,所有花园 <strong>最多</strong> 有 <strong>3</strong> 条路径可以进入或离开.</p>\n\n<p>你需要为每个花园选择一种花,使得通过路径相连的任何两个花园中的花的种类互不相同。</p>\n\n<p><em>以数组形式返回 <strong>任一</strong> 可行的方案作为答案&nbsp;<code>answer</code>,其中&nbsp;<code>answer[i]</code>&nbsp;为在第&nbsp;<code>(i+1)</code>&nbsp;个花园中种植的花的种类。花的种类用 &nbsp;1、2、3、4 表示。保证存在答案。</em></p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 3, paths = [[1,2],[2,3],[3,1]]\n<strong>输出:</strong>[1,2,3]\n<strong>解释:</strong>\n花园 1 和 2 花的种类不同。\n花园 2 和 3 花的种类不同。\n花园 3 和 1 花的种类不同。\n因此[1,2,3] 是一个满足题意的答案。其他满足题意的答案有 [1,2,4]、[1,4,2] 和 [3,2,1]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 4, paths = [[1,2],[3,4]]\n<strong>输出:</strong>[1,2,1,2]\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]]\n<strong>输出:</strong>[1,2,3,4]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= paths.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>paths[i].length == 2</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= n</code></li>\n\t<li><code>x<sub>i</sub> != y<sub>i</sub></code></li>\n\t<li>每个花园 <strong>最多</strong> 有 <strong>3</strong> 条路径可以进入或离开</li>\n</ul>\n",
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