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leetcode-problemset/leetcode-cn/originData/minimum-falling-path-sum-ii.json
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"categoryTitle": "Algorithms",
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"title": "Minimum Falling Path Sum II",
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"content": "<p>Given an <code>n x n</code> integer matrix <code>grid</code>, return <em>the minimum sum of a <strong>falling path with non-zero shifts</strong></em>.</p>\n\n<p>A <strong>falling path with non-zero shifts</strong> is a choice of exactly one element from each row of <code>grid</code> such that no two elements chosen in adjacent rows are in the same column.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/falling-grid.jpg\" style=\"width: 244px; height: 245px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,2,3],[4,5,6],[7,8,9]]\n<strong>Output:</strong> 13\n<strong>Explanation:</strong> \nThe possible falling paths are:\n[1,5,9], [1,5,7], [1,6,7], [1,6,8],\n[2,4,8], [2,4,9], [2,6,7], [2,6,8],\n[3,4,8], [3,4,9], [3,5,7], [3,5,9]\nThe falling path with the smallest sum is&nbsp;[1,5,7], so the answer is&nbsp;13.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[7]]\n<strong>Output:</strong> 7\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == grid[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 200</code></li>\n\t<li><code>-99 &lt;= grid[i][j] &lt;= 99</code></li>\n</ul>\n",
"translatedTitle": "下降路径最小和 II",
"translatedContent": "<p>给你一个&nbsp;<code>n x n</code> 整数矩阵&nbsp;<code>grid</code>&nbsp;,请你返回 <strong>非零偏移下降路径</strong> 数字和的最小值。</p>\n\n<p><strong>非零偏移下降路径</strong> 定义为:从&nbsp;<code>grid</code> 数组中的每一行选择一个数字,且按顺序选出来的数字中,相邻数字不在原数组的同一列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/falling-grid.jpg\" style=\"width: 244px; height: 245px;\" /></p>\n\n<pre>\n<strong>输入:</strong>grid = [[1,2,3],[4,5,6],[7,8,9]]\n<strong>输出:</strong>13\n<strong>解释:</strong>\n所有非零偏移下降路径包括\n[1,5,9], [1,5,7], [1,6,7], [1,6,8],\n[2,4,8], [2,4,9], [2,6,7], [2,6,8],\n[3,4,8], [3,4,9], [3,5,7], [3,5,9]\n下降路径中数字和最小的是&nbsp;[1,5,7] ,所以答案是&nbsp;13 。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>grid = [[7]]\n<strong>输出:</strong>7\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == grid[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 200</code></li>\n\t<li><code>-99 &lt;= grid[i][j] &lt;= 99</code></li>\n</ul>\n",
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