mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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192 lines
24 KiB
JSON
192 lines
24 KiB
JSON
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"title": "Magic Squares In Grid",
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"content": "<p>A <code>3 x 3</code> <strong>magic square</strong> is a <code>3 x 3</code> grid filled with distinct numbers <strong>from </strong>1<strong> to </strong>9 such that each row, column, and both diagonals all have the same sum.</p>\n\n<p>Given a <code>row x col</code> <code>grid</code> of integers, how many <code>3 x 3</code> magic square subgrids are there?</p>\n\n<p>Note: while a magic square can only contain numbers from 1 to 9, <code>grid</code> may contain numbers up to 15.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_main.jpg\" style=\"width: 322px; height: 242px;\" />\n<pre>\n<strong>Input:</strong> grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]]\n<strong>Output:</strong> 1\n<strong>Explanation: </strong>\nThe following subgrid is a 3 x 3 magic square:\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_valid.jpg\" style=\"width: 242px; height: 242px;\" />\nwhile this one is not:\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_invalid.jpg\" style=\"width: 242px; height: 242px;\" />\nIn total, there is only one magic square inside the given grid.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[8]]\n<strong>Output:</strong> 0\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>row == grid.length</code></li>\n\t<li><code>col == grid[i].length</code></li>\n\t<li><code>1 <= row, col <= 10</code></li>\n\t<li><code>0 <= grid[i][j] <= 15</code></li>\n</ul>\n",
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"translatedTitle": "矩阵中的幻方",
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"translatedContent": "<p><code>3 x 3</code> 的幻方是一个填充有 <strong>从 <code>1</code> 到 <code>9</code> </strong> 的不同数字的 <code>3 x 3</code> 矩阵，其中每行，每列以及两条对角线上的各数之和都相等。</p>\n\n<p>给定一个由整数组成的<code>row x col</code> 的 <code>grid</code>，其中有多少个 <code>3 × 3</code> 的 “幻方” 子矩阵？</p>\n\n<p>注意：虽然幻方只能包含 1 到 9 的数字，但 <code>grid</code> 可以包含最多15的数字。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_main.jpg\" /></p>\n\n<pre>\n<strong>输入: </strong>grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]\n<strong>输出: </strong>1\n<strong>解释: </strong>\n下面的子矩阵是一个 3 x 3 的幻方：\n<img src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_valid.jpg\" />\n而这一个不是：\n<img src=\"https://assets.leetcode.com/uploads/2020/09/11/magic_invalid.jpg\" />\n总的来说，在本示例所给定的矩阵中只有一个 3 x 3 的幻方子矩阵。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> grid = [[8]]\n<strong>输出:</strong> 0\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>row == grid.length</code></li>\n\t<li><code>col == grid[i].length</code></li>\n\t<li><code>1 <= row, col <= 10</code></li>\n\t<li><code>0 <= grid[i][j] <= 15</code></li>\n</ul>\n",
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