leetcode-problemset/leetcode-cn/originData/minimum-falling-path-sum.json

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            "title": "Minimum Falling Path Sum",
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            "content": "<p>Given an <code>n x n</code> array of integers <code>matrix</code>, return <em>the <strong>minimum sum</strong> of any <strong>falling path</strong> through</em> <code>matrix</code>.</p>\n\n<p>A <strong>falling path</strong> starts at any element in the first row and chooses the element in the next row that is either directly below or diagonally left/right. Specifically, the next element from position <code>(row, col)</code> will be <code>(row + 1, col - 1)</code>, <code>(row + 1, col)</code>, or <code>(row + 1, col + 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/2021/11/03/failing1-grid.jpg\" style=\"width: 499px; height: 500px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[2,1,3],[6,5,4],[7,8,9]]\n<strong>Output:</strong> 13\n<strong>Explanation:</strong> There are two falling paths with a minimum sum as shown.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/failing2-grid.jpg\" style=\"width: 164px; height: 365px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[-19,57],[-40,-5]]\n<strong>Output:</strong> -59\n<strong>Explanation:</strong> The falling path with a minimum sum is shown.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == matrix.length == matrix[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>-100 &lt;= matrix[i][j] &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "下降路径最小和",
            "translatedContent": "<p>给你一个 <code>n x n</code> 的<strong> 方形 </strong>整数数组&nbsp;<code>matrix</code> ，请你找出并返回通过 <code>matrix</code> 的<strong>下降路径</strong><em> </em>的<strong> </strong><strong>最小和</strong> 。</p>\n\n<p><strong>下降路径</strong> 可以从第一行中的任何元素开始，并从每一行中选择一个元素。在下一行选择的元素和当前行所选元素最多相隔一列（即位于正下方或者沿对角线向左或者向右的第一个元素）。具体来说，位置 <code>(row, col)</code> 的下一个元素应当是 <code>(row + 1, col - 1)</code>、<code>(row + 1, col)</code> 或者 <code>(row + 1, col + 1)</code> 。</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/2021/11/03/failing1-grid.jpg\" style=\"height: 500px; width: 499px;\" /></p>\n\n<pre>\n<strong>输入：</strong>matrix = [[2,1,3],[6,5,4],[7,8,9]]\n<strong>输出：</strong>13\n<strong>解释：</strong>如图所示，为和最小的两条下降路径\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/failing2-grid.jpg\" style=\"height: 365px; width: 164px;\" /></p>\n\n<pre>\n<strong>输入：</strong>matrix = [[-19,57],[-40,-5]]\n<strong>输出：</strong>-59\n<strong>解释：</strong>如图所示，为和最小的下降路径\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == matrix.length == matrix[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>-100 &lt;= matrix[i][j] &lt;= 100</code></li>\n</ul>\n",
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