leetcode-problemset/leetcode-cn/originData/count-number-of-ways-to-place-houses.json

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        "question": {
            "questionId": "2397",
            "questionFrontendId": "2320",
            "categoryTitle": "Algorithms",
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            "title": "Count Number of Ways to Place Houses",
            "titleSlug": "count-number-of-ways-to-place-houses",
            "content": "<p>There is a street with <code>n * 2</code> <strong>plots</strong>, where there are <code>n</code> plots on each side of the street. The plots on each side are numbered from <code>1</code> to <code>n</code>. On each plot, a house can be placed.</p>\n\n<p>Return <em>the number of ways houses can be placed such that no two houses are adjacent to each other on the same side of the street</em>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>Note that if a house is placed on the <code>i<sup>th</sup></code> plot on one side of the street, a house can also be placed on the <code>i<sup>th</sup></code> plot on the other side of the street.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> \nPossible arrangements:\n1. All plots are empty.\n2. A house is placed on one side of the street.\n3. A house is placed on the other side of the street.\n4. Two houses are placed, one on each side of the street.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/05/12/arrangements.png\" style=\"width: 500px; height: 500px;\" />\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> The 9 possible arrangements are shown in the diagram above.\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</ul>\n",
            "translatedTitle": "统计放置房子的方式数",
            "translatedContent": "<p>一条街道上共有 <code>n * 2</code> 个 <strong>地块</strong> ，街道的两侧各有 <code>n</code> 个地块。每一边的地块都按从 <code>1</code> 到 <code>n</code> 编号。每个地块上都可以放置一所房子。</p>\n\n<p>现要求街道同一侧不能存在两所房子相邻的情况，请你计算并返回放置房屋的方式数目。由于答案可能很大，需要对 <code>10<sup>9</sup> + 7</code> 取余后再返回。</p>\n\n<p>注意，如果一所房子放置在这条街某一侧上的第 <code>i</code> 个地块，不影响在另一侧的第 <code>i</code> 个地块放置房子。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>n = 1\n<strong>输出：</strong>4\n<strong>解释：</strong>\n可能的放置方式：\n1. 所有地块都不放置房子。\n2. 一所房子放在街道的某一侧。\n3. 一所房子放在街道的另一侧。\n4. 放置两所房子，街道两侧各放置一所。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/05/12/arrangements.png\" style=\"width: 500px; height: 500px;\">\n<pre><strong>输入：</strong>n = 2\n<strong>输出：</strong>9\n<strong>解释：</strong>如上图所示，共有 9 种可能的放置方式。\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</ul>\n",
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            "hints": [
                "Try coming up with a DP solution for one side of the street.",
                "The DP for one side of the street will bear resemblance to the Fibonacci sequence.",
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