mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
171 lines
21 KiB
JSON
171 lines
21 KiB
JSON
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"questionId": "2061",
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"questionFrontendId": "1931",
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"categoryTitle": "Algorithms",
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"boundTopicId": 863098,
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"title": "Painting a Grid With Three Different Colors",
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"content": "<p>You are given two integers <code>m</code> and <code>n</code>. Consider an <code>m x n</code> grid where each cell is initially white. You can paint each cell <strong>red</strong>, <strong>green</strong>, or <strong>blue</strong>. All cells <strong>must</strong> be painted.</p>\n\n<p>Return<em> the number of ways to color the grid with <strong>no two adjacent cells having the same color</strong></em>. Since the answer can be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/22/colorthegrid.png\" style=\"width: 200px; height: 50px;\" />\n<pre>\n<strong>Input:</strong> m = 1, n = 1\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The three possible colorings are shown in the image above.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/22/copy-of-colorthegrid.png\" style=\"width: 321px; height: 121px;\" />\n<pre>\n<strong>Input:</strong> m = 1, n = 2\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The six possible colorings are shown in the image above.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> m = 5, n = 5\n<strong>Output:</strong> 580986\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= m <= 5</code></li>\n\t<li><code>1 <= n <= 1000</code></li>\n</ul>\n",
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"translatedTitle": "用三种不同颜色为网格涂色",
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"Represent each colored column by a bitmask based on each cell color.",
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