leetcode-problemset/leetcode-cn/originData/shortest-path-to-get-all-keys.json

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            "title": "Shortest Path to Get All Keys",
            "titleSlug": "shortest-path-to-get-all-keys",
            "content": "<p>You are given an <code>m x n</code> grid <code>grid</code> where:</p>\n\n<ul>\n\t<li><code>&#39;.&#39;</code> is an empty cell.</li>\n\t<li><code>&#39;#&#39;</code> is a wall.</li>\n\t<li><code>&#39;@&#39;</code> is the starting point.</li>\n\t<li>Lowercase letters represent keys.</li>\n\t<li>Uppercase letters represent locks.</li>\n</ul>\n\n<p>You start at the starting point and one move consists of walking one space in one of the four cardinal directions. You cannot walk outside the grid, or walk into a wall.</p>\n\n<p>If you walk over a key, you can pick it up and you cannot walk over a lock unless you have its corresponding key.</p>\n\n<p>For some <code><font face=\"monospace\">1 &lt;= k &lt;= 6</font></code>, there is exactly one lowercase and one uppercase letter of the first <code>k</code> letters of the English alphabet in the grid. This means that there is exactly one key for each lock, and one lock for each key; and also that the letters used to represent the keys and locks were chosen in the same order as the English alphabet.</p>\n\n<p>Return <em>the lowest number of moves to acquire all keys</em>. If it is impossible, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-keys2.jpg\" style=\"width: 404px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> grid = [&quot;@.a..&quot;,&quot;###.#&quot;,&quot;b.A.B&quot;]\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> Note that the goal is to obtain all the keys not to open all the locks.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-key2.jpg\" style=\"width: 404px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> grid = [&quot;@..aA&quot;,&quot;..B#.&quot;,&quot;....b&quot;]\n<strong>Output:</strong> 6\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-keys3.jpg\" style=\"width: 244px; height: 85px;\" />\n<pre>\n<strong>Input:</strong> grid = [&quot;@Aa&quot;]\n<strong>Output:</strong> -1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 30</code></li>\n\t<li><code>grid[i][j]</code> is either an English letter, <code>&#39;.&#39;</code>, <code>&#39;#&#39;</code>, or <code>&#39;@&#39;</code>.&nbsp;</li>\n\t<li>There is exactly one&nbsp;<code>&#39;@&#39;</code>&nbsp;in the grid.</li>\n\t<li>The number of keys in the grid is in the range <code>[1, 6]</code>.</li>\n\t<li>Each key in the grid is <strong>unique</strong>.</li>\n\t<li>Each key in the grid has a matching lock.</li>\n</ul>\n",
            "translatedTitle": "获取所有钥匙的最短路径",
            "translatedContent": "<p>给定一个二维网格&nbsp;<code>grid</code>&nbsp;，其中：</p>\n\n<ul>\n\t<li><font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.6px\"><span style=\"background-color:#f9f2f4\">'.'</span></span></font></font> 代表一个空房间</li>\n\t<li><font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.6px\"><span style=\"background-color:#f9f2f4\">'#'</span></span></font></font> 代表一堵墙</li>\n\t<li><font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.6px\"><span style=\"background-color:#f9f2f4\">'@'</span></span></font></font>&nbsp;是起点</li>\n\t<li>小写字母代表钥匙</li>\n\t<li>大写字母代表锁</li>\n</ul>\n\n<p>我们从起点开始出发，一次移动是指向四个基本方向之一行走一个单位空间。我们不能在网格外面行走，也无法穿过一堵墙。如果途经一个钥匙，我们就把它捡起来。除非我们手里有对应的钥匙，否则无法通过锁。</p>\n\n<p>假设 k&nbsp;为 钥匙/锁 的个数，且满足&nbsp;<code>1 &lt;= k&nbsp;&lt;= 6</code>，字母表中的前 <code>k</code>&nbsp;个字母在网格中都有自己对应的一个小写和一个大写字母。换言之，每个锁有唯一对应的钥匙，每个钥匙也有唯一对应的锁。另外，代表钥匙和锁的字母互为大小写并按字母顺序排列。</p>\n\n<p>返回获取所有钥匙所需要的移动的最少次数。如果无法获取所有钥匙，返回&nbsp;<code>-1</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-keys2.jpg\" /></p>\n\n<pre>\n<strong>输入：</strong>grid = [\"@.a.#\",\"###.#\",\"b.A.B\"]\n<strong>输出：</strong>8\n<strong>解释：</strong>目标是获得所有钥匙，而不是打开所有锁。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-key2.jpg\" /></p>\n\n<pre>\n<strong>输入：</strong>grid = [\"@..aA\",\"..B#.\",\"....b\"]\n<strong>输出：</strong>6\n</pre>\n\n<p><strong>示例 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/23/lc-keys3.jpg\" />\n<pre>\n<strong>输入:</strong> grid = [\"@Aa\"]\n<strong>输出:</strong> -1</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 30</code></li>\n\t<li><code>grid[i][j]</code>&nbsp;只含有&nbsp;<code>'.'</code>,&nbsp;<code>'#'</code>,&nbsp;<code>'@'</code>,&nbsp;<code>'a'-</code><code>'f</code><code>'</code>&nbsp;以及&nbsp;<code>'A'-'F'</code></li>\n\t<li>钥匙的数目范围是&nbsp;<code>[1, 6]</code>&nbsp;</li>\n\t<li>每个钥匙都对应一个 <strong>不同</strong> 的字母</li>\n\t<li>每个钥匙正好打开一个对应的锁</li>\n</ul>\n",
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