leetcode-problemset/leetcode-cn/originData/shortest-path-in-a-grid-with-obstacles-elimination.json

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            "title": "Shortest Path in a Grid with Obstacles Elimination",
            "titleSlug": "shortest-path-in-a-grid-with-obstacles-elimination",
            "content": "<p>You are given an <code>m x n</code> integer matrix <code>grid</code> where each cell is either <code>0</code> (empty) or <code>1</code> (obstacle). You can move up, down, left, or right from and to an empty cell in <strong>one step</strong>.</p>\n\n<p>Return <em>the minimum number of <strong>steps</strong> to walk from the upper left corner </em><code>(0, 0)</code><em> to the lower right corner </em><code>(m - 1, n - 1)</code><em> given that you can eliminate <strong>at most</strong> </em><code>k</code><em> obstacles</em>. If it is not possible to find such walk 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/2021/09/30/short1-grid.jpg\" style=\"width: 244px; height: 405px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,0,0],[1,1,0],[0,0,0],[0,1,1],[0,0,0]], k = 1\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> \nThe shortest path without eliminating any obstacle is 10.\nThe shortest path with one obstacle elimination at position (3,2) is 6. Such path is (0,0) -&gt; (0,1) -&gt; (0,2) -&gt; (1,2) -&gt; (2,2) -&gt; <strong>(3,2)</strong> -&gt; (4,2).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/30/short2-grid.jpg\" style=\"width: 244px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,1,1],[1,1,1],[1,0,0]], k = 1\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> We need to eliminate at least two obstacles to find such a walk.\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;= 40</code></li>\n\t<li><code>1 &lt;= k &lt;= m * n</code></li>\n\t<li><code>grid[i][j]</code> is either <code>0</code> <strong>or</strong> <code>1</code>.</li>\n\t<li><code>grid[0][0] == grid[m - 1][n - 1] == 0</code></li>\n</ul>\n",
            "translatedTitle": "网格中的最短路径",
            "translatedContent": "<p>给你一个&nbsp;<code>m * n</code>&nbsp;的网格，其中每个单元格不是&nbsp;<code>0</code>（空）就是&nbsp;<code>1</code>（障碍物）。每一步，您都可以在空白单元格中上、下、左、右移动。</p>\n\n<p>如果您 <strong>最多</strong> 可以消除 <code>k</code> 个障碍物，请找出从左上角 <code>(0, 0)</code> 到右下角 <code>(m-1, n-1)</code> 的最短路径，并返回通过该路径所需的步数。如果找不到这样的路径，则返回 <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://pic.leetcode.cn/1700710956-kcxqcC-img_v3_025f_d55a658c-8f40-464b-800f-22ccd27cc9fg.jpg\" style=\"width: 243px; height: 404px;\" /></p>\n\n<pre>\n<strong>输入：</strong> grid = [[0,0,0],[1,1,0],[0,0,0],[0,1,1],[0,0,0]], k = 1\n<strong>输出：</strong>6\n<strong>解释：\n</strong>不消除任何障碍的最短路径是 10。\n消除位置 (3,2) 处的障碍后，最短路径是 6 。该路径是 <code>(0,0) -&gt; (0,1) -&gt; (0,2) -&gt; (1,2) -&gt; (2,2) -&gt; <strong>(3,2)</strong> -&gt; (4,2)</code>.\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img src=\"https://pic.leetcode.cn/1700710701-uPqkZe-img_v3_025f_0edd50fb-8a70-4a42-add0-f602caaad35g.jpg\" style=\"width: 243px; height: 244px;\" /></p>\n\n<pre>\n<strong>输入：</strong>grid = [[0,1,1],[1,1,1],[1,0,0]], k = 1\n<strong>输出：</strong>-1\n<strong>解释：</strong>我们至少需要消除两个障碍才能找到这样的路径。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>grid.length&nbsp;== m</code></li>\n\t<li><code>grid[0].length&nbsp;== n</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 40</code></li>\n\t<li><code>1 &lt;= k &lt;= m*n</code></li>\n\t<li><code>grid[i][j]</code>&nbsp;是&nbsp;<code>0</code>&nbsp;或<strong>&nbsp;</strong><code>1</code></li>\n\t<li><code>grid[0][0] == grid[m-1][n-1] == 0</code></li>\n</ul>\n",
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