leetcode-problemset/leetcode-cn/originData/nearest-exit-from-entrance-in-maze.json

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        "question": {
            "questionId": "2038",
            "questionFrontendId": "1926",
            "categoryTitle": "Algorithms",
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            "title": "Nearest Exit from Entrance in Maze",
            "titleSlug": "nearest-exit-from-entrance-in-maze",
            "content": "<p>You are given an <code>m x n</code> matrix <code>maze</code> (<strong>0-indexed</strong>) with empty cells (represented as <code>&#39;.&#39;</code>) and walls (represented as <code>&#39;+&#39;</code>). You are also given the <code>entrance</code> of the maze, where <code>entrance = [entrance<sub>row</sub>, entrance<sub>col</sub>]</code> denotes the row and column of the cell you are initially standing at.</p>\n\n<p>In one step, you can move one cell <strong>up</strong>, <strong>down</strong>, <strong>left</strong>, or <strong>right</strong>. You cannot step into a cell with a wall, and you cannot step outside the maze. Your goal is to find the <strong>nearest exit</strong> from the <code>entrance</code>. An <strong>exit</strong> is defined as an <strong>empty cell</strong> that is at the <strong>border</strong> of the <code>maze</code>. The <code>entrance</code> <strong>does not count</strong> as an exit.</p>\n\n<p>Return <em>the <strong>number of steps</strong> in the shortest path from the </em><code>entrance</code><em> to the nearest exit, or </em><code>-1</code><em> if no such path exists</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearest1-grid.jpg\" style=\"width: 333px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> maze = [[&quot;+&quot;,&quot;+&quot;,&quot;.&quot;,&quot;+&quot;],[&quot;.&quot;,&quot;.&quot;,&quot;.&quot;,&quot;+&quot;],[&quot;+&quot;,&quot;+&quot;,&quot;+&quot;,&quot;.&quot;]], entrance = [1,2]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> There are 3 exits in this maze at [1,0], [0,2], and [2,3].\nInitially, you are at the entrance cell [1,2].\n- You can reach [1,0] by moving 2 steps left.\n- You can reach [0,2] by moving 1 step up.\nIt is impossible to reach [2,3] from the entrance.\nThus, the nearest exit is [0,2], which is 1 step away.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearesr2-grid.jpg\" style=\"width: 253px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> maze = [[&quot;+&quot;,&quot;+&quot;,&quot;+&quot;],[&quot;.&quot;,&quot;.&quot;,&quot;.&quot;],[&quot;+&quot;,&quot;+&quot;,&quot;+&quot;]], entrance = [1,0]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There is 1 exit in this maze at [1,2].\n[1,0] does not count as an exit since it is the entrance cell.\nInitially, you are at the entrance cell [1,0].\n- You can reach [1,2] by moving 2 steps right.\nThus, the nearest exit is [1,2], which is 2 steps away.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearest3-grid.jpg\" style=\"width: 173px; height: 93px;\" />\n<pre>\n<strong>Input:</strong> maze = [[&quot;.&quot;,&quot;+&quot;]], entrance = [0,0]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> There are no exits in this maze.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>maze.length == m</code></li>\n\t<li><code>maze[i].length == n</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>maze[i][j]</code> is either <code>&#39;.&#39;</code> or <code>&#39;+&#39;</code>.</li>\n\t<li><code>entrance.length == 2</code></li>\n\t<li><code>0 &lt;= entrance<sub>row</sub> &lt; m</code></li>\n\t<li><code>0 &lt;= entrance<sub>col</sub> &lt; n</code></li>\n\t<li><code>entrance</code> will always be an empty cell.</li>\n</ul>\n",
            "translatedTitle": "迷宫中离入口最近的出口",
            "translatedContent": "<p>给你一个 <code>m x n</code> 的迷宫矩阵 <code>maze</code> （<strong>下标从 0 开始</strong>），矩阵中有空格子（用 <code>'.'</code> 表示）和墙（用 <code>'+'</code> 表示）。同时给你迷宫的入口 <code>entrance</code> ，用 <code>entrance = [entrance<sub>row</sub>, entrance<sub>col</sub>]</code> 表示你一开始所在格子的行和列。</p>\n\n<p>每一步操作，你可以往 <strong>上</strong>，<strong>下</strong>，<strong>左</strong> 或者 <strong>右</strong> 移动一个格子。你不能进入墙所在的格子，你也不能离开迷宫。你的目标是找到离 <code>entrance</code> <strong>最近</strong> 的出口。<strong>出口</strong> 的含义是 <code>maze</code> <strong>边界</strong> 上的 <strong>空格子</strong>。<code>entrance</code> 格子 <strong>不算</strong> 出口。</p>\n\n<p>请你返回从 <code>entrance</code> 到最近出口的最短路径的 <strong>步数</strong> ，如果不存在这样的路径，请你返回 <code>-1</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearest1-grid.jpg\" style=\"width: 333px; height: 253px;\">\n<pre><b>输入：</b>maze = [[\"+\",\"+\",\".\",\"+\"],[\".\",\".\",\".\",\"+\"],[\"+\",\"+\",\"+\",\".\"]], entrance = [1,2]\n<b>输出：</b>1\n<b>解释：</b>总共有 3 个出口，分别位于 (1,0)，(0,2) 和 (2,3) 。\n一开始，你在入口格子 (1,2) 处。\n- 你可以往左移动 2 步到达 (1,0) 。\n- 你可以往上移动 1 步到达 (0,2) 。\n从入口处没法到达 (2,3) 。\n所以，最近的出口是 (0,2) ，距离为 1 步。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearesr2-grid.jpg\" style=\"width: 253px; height: 253px;\">\n<pre><b>输入：</b>maze = [[\"+\",\"+\",\"+\"],[\".\",\".\",\".\"],[\"+\",\"+\",\"+\"]], entrance = [1,0]\n<b>输出：</b>2\n<b>解释：</b>迷宫中只有 1 个出口，在 (1,2) 处。\n(1,0) 不算出口，因为它是入口格子。\n初始时，你在入口与格子 (1,0) 处。\n- 你可以往右移动 2 步到达 (1,2) 处。\n所以，最近的出口为 (1,2) ，距离为 2 步。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/04/nearest3-grid.jpg\" style=\"width: 173px; height: 93px;\">\n<pre><b>输入：</b>maze = [[\".\",\"+\"]], entrance = [0,0]\n<b>输出：</b>-1\n<b>解释：</b>这个迷宫中没有出口。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>maze.length == m</code></li>\n\t<li><code>maze[i].length == n</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>maze[i][j]</code> 要么是 <code>'.'</code> ，要么是 <code>'+'</code> 。</li>\n\t<li><code>entrance.length == 2</code></li>\n\t<li><code>0 &lt;= entrance<sub>row</sub> &lt; m</code></li>\n\t<li><code>0 &lt;= entrance<sub>col</sub> &lt; n</code></li>\n\t<li><code>entrance</code> 一定是空格子。</li>\n</ul>\n",
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