leetcode-problemset/leetcode-cn/originData/knight-dialer.json

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            "title": "Knight Dialer",
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            "content": "<p>The chess knight has a <strong>unique movement</strong>,&nbsp;it may move two squares vertically and one square horizontally, or two squares horizontally and one square vertically (with both forming the shape of an <strong>L</strong>). The possible movements of chess knight are shown in this diagaram:</p>\n\n<p>A chess knight can move as indicated in the chess diagram below:</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/18/chess.jpg\" style=\"width: 402px; height: 402px;\" />\n<p>We have a chess knight and a phone pad as shown below, the knight <strong>can only stand on a numeric cell</strong>&nbsp;(i.e. blue cell).</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/18/phone.jpg\" style=\"width: 242px; height: 322px;\" />\n<p>Given an integer <code>n</code>, return how many distinct phone numbers of length <code>n</code> we can dial.</p>\n\n<p>You are allowed to place the knight <strong>on any numeric cell</strong> initially and then you should perform <code>n - 1</code> jumps to dial a number of length <code>n</code>. All jumps should be <strong>valid</strong> knight jumps.</p>\n\n<p>As the answer may be very large, <strong>return the answer modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> We need to dial a number of length 1, so placing the knight over any numeric cell of the 10 cells is sufficient.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> 20\n<strong>Explanation:</strong> All the valid number we can dial are [04, 06, 16, 18, 27, 29, 34, 38, 40, 43, 49, 60, 61, 67, 72, 76, 81, 83, 92, 94]\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3131\n<strong>Output:</strong> 136006598\n<strong>Explanation:</strong> Please take care of the mod.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 5000</code></li>\n</ul>\n",
            "translatedTitle": "骑士拨号器",
            "translatedContent": "<p>象棋骑士有一个<strong>独特的移动方式</strong>，它可以垂直移动两个方格，水平移动一个方格，或者水平移动两个方格，垂直移动一个方格(两者都形成一个&nbsp;<strong>L&nbsp;</strong>的形状)。</p>\n\n<p>象棋骑士可能的移动方式如下图所示:</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/18/chess.jpg\" style=\"height: 200px; width: 200px;\" /></p>\n\n<p>我们有一个象棋骑士和一个电话垫，如下所示，骑士<strong>只能站在一个数字单元格上</strong>(即蓝色单元格)。</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/18/phone.jpg\" style=\"height: 200px; width: 150px;\" /></p>\n\n<p>给定一个整数 n，返回我们可以拨多少个长度为 n 的不同电话号码。</p>\n\n<p>你可以将骑士放置在<strong>任何数字单元格</strong>上，然后你应该执行 n - 1 次移动来获得长度为 n 的号码。所有的跳跃应该是<strong>有效</strong>的骑士跳跃。</p>\n\n<p>因为答案可能很大，<strong>所以输出答案模&nbsp;</strong><code>10<sup>9</sup>&nbsp;+ 7</code>.</p>\n\n<p>&nbsp;</p>\n\n<ul>\n</ul>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1\n<strong>输出：</strong>10\n<strong>解释：</strong>我们需要拨一个长度为1的数字，所以把骑士放在10个单元格中的任何一个数字单元格上都能满足条件。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2\n<strong>输出：</strong>20\n<strong>解释：</strong>我们可以拨打的所有有效号码为[04, 06, 16, 18, 27, 29, 34, 38, 40, 43, 49, 60, 61, 67, 72, 76, 81, 83, 92, 94]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3131\n<strong>输出：</strong>136006598\n<strong>解释：</strong>注意取模\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;= 5000</code></li>\n</ul>\n",
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