leetcode-problemset/leetcode-cn/originData/prime-in-diagonal.json

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            "questionId": "2722",
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            "title": "Prime In Diagonal",
            "titleSlug": "prime-in-diagonal",
            "content": "<p>You are given a 0-indexed two-dimensional integer array <code>nums</code>.</p>\n\n<p>Return <em>the largest <strong>prime</strong> number that lies on at least one of the <b>diagonals</b> of </em><code>nums</code>. In case, no prime is present on any of the diagonals, return<em> 0.</em></p>\n\n<p>Note that:</p>\n\n<ul>\n\t<li>An integer is <strong>prime</strong> if it is greater than <code>1</code> and has no positive integer divisors other than <code>1</code> and itself.</li>\n\t<li>An integer <code>val</code> is on one of the <strong>diagonals</strong> of <code>nums</code> if there exists an integer <code>i</code> for which <code>nums[i][i] = val</code> or an <code>i</code> for which <code>nums[i][nums.length - i - 1] = val</code>.</li>\n</ul>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/06/screenshot-2023-03-06-at-45648-pm.png\" style=\"width: 181px; height: 121px;\" /></p>\n\n<p>In the above diagram, one diagonal is <strong>[1,5,9]</strong> and another diagonal is<strong> [3,5,7]</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [[1,2,3],[5,6,7],[9,10,11]]\n<strong>Output:</strong> 11\n<strong>Explanation:</strong> The numbers 1, 3, 6, 9, and 11 are the only numbers present on at least one of the diagonals. Since 11 is the largest prime, we return 11.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [[1,2,3],[5,17,7],[9,11,10]]\n<strong>Output:</strong> 17\n<strong>Explanation:</strong> The numbers 1, 3, 9, 10, and 17 are all present on at least one of the diagonals. 17 is the largest prime, so we return 17.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 300</code></li>\n\t<li><code>nums.length == nums<sub>i</sub>.length</code></li>\n\t<li><code>1 &lt;= nums<span style=\"font-size: 10.8333px;\">[i][j]</span>&nbsp;&lt;= 4*10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "对角线上的质数",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的二维整数数组 <code>nums</code> 。</p>\n\n<p>返回位于 <code>nums</code> 至少一条 <strong>对角线</strong> 上的最大 <strong>质数</strong> 。如果任一对角线上均不存在质数，返回<em> 0 。</em></p>\n\n<p>注意：</p>\n\n<ul>\n\t<li>如果某个整数大于 <code>1</code> ，且不存在除 <code>1</code> 和自身之外的正整数因子，则认为该整数是一个质数。</li>\n\t<li>如果存在整数 <code>i</code> ，使得&nbsp;<code>nums[i][i] = val</code> 或者&nbsp;<code>nums[i][nums.length - i - 1]= val</code> ，则认为整数 <code>val</code> 位于 <code>nums</code> 的一条对角线上。</li>\n</ul>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/03/06/screenshot-2023-03-06-at-45648-pm.png\" style=\"width: 181px; height: 121px;\" /></p>\n\n<p>在上图中，一条对角线是 <strong>[1,5,9]</strong> ，而另一条对角线是<strong> [3,5,7]</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [[1,2,3],[5,6,7],[9,10,11]]\n<strong>输出：</strong>11\n<strong>解释：</strong>数字 1、3、6、9 和 11 是所有 \"位于至少一条对角线上\" 的数字。由于 11 是最大的质数，故返回 11 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [[1,2,3],[5,17,7],[9,11,10]]\n<strong>输出：</strong>17\n<strong>解释：</strong>数字 1、3、9、10 和 17 是所有满足\"位于至少一条对角线上\"的数字。由于 17 是最大的质数，故返回 17 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 300</code></li>\n\t<li><code>nums.length == nums<sub>i</sub>.length</code></li>\n\t<li><code>1 &lt;= nums<span style=\"\">[i][j]</span>&nbsp;&lt;= 4*10<sup>6</sup></code></li>\n</ul>\n",
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