leetcode-problemset/leetcode-cn/originData/minimum-number-of-visited-cells-in-a-grid.json

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            "title": "Minimum Number of Visited Cells in a Grid",
            "titleSlug": "minimum-number-of-visited-cells-in-a-grid",
            "content": "<p>You are given a <strong>0-indexed</strong> <code>m x n</code> integer matrix <code>grid</code>. Your initial position is at the <strong>top-left</strong> cell <code>(0, 0)</code>.</p>\n\n<p>Starting from the cell <code>(i, j)</code>, you can move to one of the following cells:</p>\n\n<ul>\n\t<li>Cells <code>(i, k)</code> with <code>j &lt; k &lt;= grid[i][j] + j</code> (rightward movement), or</li>\n\t<li>Cells <code>(k, j)</code> with <code>i &lt; k &lt;= grid[i][j] + i</code> (downward movement).</li>\n</ul>\n\n<p>Return <em>the minimum number of cells you need to visit to reach the <strong>bottom-right</strong> cell</em> <code>(m - 1, n - 1)</code>. If there is no valid path, 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/2023/01/25/ex1.png\" style=\"width: 271px; height: 171px;\" />\n<pre>\n<strong>Input:</strong> grid = [[3,4,2,1],[4,2,3,1],[2,1,0,0],[2,4,0,0]]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The image above shows one of the paths that visits exactly 4 cells.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/25/ex2.png\" style=\"width: 271px; height: 171px;\" />\n<pre>\n<strong>Input:</strong> grid = [[3,4,2,1],[4,2,1,1],[2,1,1,0],[3,4,1,0]]\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>The image above shows one of the paths that visits exactly 3 cells.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/26/ex3.png\" style=\"width: 181px; height: 81px;\" />\n<pre>\n<strong>Input:</strong> grid = [[2,1,0],[1,0,0]]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It can be proven that no path exists.\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;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt; m * n</code></li>\n\t<li><code>grid[m - 1][n - 1] == 0</code></li>\n</ul>\n",
            "translatedTitle": "网格图中最少访问的格子数",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的&nbsp;<code>m x n</code>&nbsp;整数矩阵&nbsp;<code>grid</code>&nbsp;。你一开始的位置在&nbsp;<strong>左上角</strong>&nbsp;格子&nbsp;<code>(0, 0)</code>&nbsp;。</p>\n\n<p>当你在格子&nbsp;<code>(i, j)</code>&nbsp;的时候，你可以移动到以下格子之一：</p>\n\n<ul>\n\t<li>满足 <code>j &lt; k &lt;= grid[i][j] + j</code>&nbsp;的格子&nbsp;<code>(i, k)</code>&nbsp;（向右移动），或者</li>\n\t<li>满足 <code>i &lt; k &lt;= grid[i][j] + i</code>&nbsp;的格子&nbsp;<code>(k, j)</code>&nbsp;（向下移动）。</li>\n</ul>\n\n<p>请你返回到达 <strong>右下角</strong>&nbsp;格子&nbsp;<code>(m - 1, n - 1)</code>&nbsp;需要经过的最少移动格子数，如果无法到达右下角格子，请你返回&nbsp;<code>-1</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/25/ex1.png\" style=\"width: 271px; height: 171px;\"></p>\n\n<pre><b>输入：</b>grid = [[3,4,2,1],[4,2,3,1],[2,1,0,0],[2,4,0,0]]\n<b>输出：</b>4\n<b>解释：</b>上图展示了到达右下角格子经过的 4 个格子。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/25/ex2.png\" style=\"width: 271px; height: 171px;\"></p>\n\n<pre><b>输入：</b>grid = [[3,4,2,1],[4,2,1,1],[2,1,1,0],[3,4,1,0]]\n<b>输出：</b>3\n<strong>解释：</strong>上图展示了到达右下角格子经过的 3 个格子。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/01/26/ex3.png\" style=\"width: 181px; height: 81px;\"></p>\n\n<pre><b>输入：</b>grid = [[2,1,0],[1,0,0]]\n<b>输出：</b>-1\n<b>解释：</b>无法到达右下角格子。\n</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;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt; m * n</code></li>\n\t<li><code>grid[m - 1][n - 1] == 0</code></li>\n</ul>\n",
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