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"title": "Prime In Diagonal",
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"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",
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"code": "class Solution {\npublic:\n int diagonalPrime(vector<vector<int>>& nums) {\n \n }\n};",
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"code": "class Solution(object):\n def diagonalPrime(self, nums):\n \"\"\"\n :type nums: List[List[int]]\n :rtype: int\n \"\"\"\n ",
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"code": "public class Solution {\n public int DiagonalPrime(int[][] nums) {\n \n }\n}",
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"code": "/**\n * @param {number[][]} nums\n * @return {number}\n */\nvar diagonalPrime = function(nums) {\n \n};",
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"lang": "TypeScript",
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"lang": "Kotlin",
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"code": "class Solution {\n fun diagonalPrime(nums: Array<IntArray>): Int {\n \n }\n}",
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"lang": "Dart",
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"lang": "Go",
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"lang": "Ruby",
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"code": "(define/contract (diagonal-prime nums)\n (-> (listof (listof exact-integer?)) exact-integer?)\n\n )",
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"lang": "Erlang",
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"code": "defmodule Solution do\n @spec diagonal_prime(nums :: [[integer]]) :: integer\n def diagonal_prime(nums) do\n\n end\nend",
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"hints": [
"Iterate over the diagonals of the matrix and check for each element.",
"Check if the element is prime or not in O(sqrt(n)) time."
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