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"categoryTitle": "Algorithms",
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"title": "Find a Peak Element II",
"titleSlug": "find-a-peak-element-ii",
"content": "<p>A <strong>peak</strong> element in a 2D grid is an element that is <strong>strictly greater</strong> than all of its <strong>adjacent </strong>neighbors to the left, right, top, and bottom.</p>\n\n<p>Given a <strong>0-indexed</strong> <code>m x n</code> matrix <code>mat</code> where <strong>no two adjacent cells are equal</strong>, find <strong>any</strong> peak element <code>mat[i][j]</code> and return <em>the length 2 array </em><code>[i,j]</code>.</p>\n\n<p>You may assume that the entire matrix is surrounded by an <strong>outer perimeter</strong> with the value <code>-1</code> in each cell.</p>\n\n<p>You must write an algorithm that runs in <code>O(m log(n))</code> or <code>O(n log(m))</code> time.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/08/1.png\" style=\"width: 206px; height: 209px;\" /></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,4],[3,2]]\n<strong>Output:</strong> [0,1]\n<strong>Explanation:</strong>&nbsp;Both 3 and 4 are peak elements so [1,0] and [0,1] are both acceptable answers.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/07/3.png\" style=\"width: 254px; height: 257px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[10,20,15],[21,30,14],[7,16,32]]\n<strong>Output:</strong> [1,1]\n<strong>Explanation:</strong>&nbsp;Both 30 and 32 are peak elements so [1,1] and [2,2] are both acceptable answers.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 500</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 10<sup>5</sup></code></li>\n\t<li>No two adjacent cells are equal.</li>\n</ul>\n",
"translatedTitle": "找出顶峰元素 II",
"translatedContent": "<p>一个 2D 网格中的 <strong>顶峰元素 </strong>是指那些 <strong>严格大于 </strong>其相邻格子(上、下、左、右)的元素。</p>\n\n<p>给你一个<strong> 从 0 开始编号 </strong>的 <code>m x n</code> 矩阵 <code>mat</code> ,其中任意两个相邻格子的值都<strong> 不相同</strong> 。找出 <strong>任意一个 </strong>顶峰元素 <code>mat[i][j]</code> 并 <strong>返回其位置 </strong><code>[i,j]</code> 。</p>\n\n<p>你可以假设整个矩阵周边环绕着一圈值为 <code>-1</code> 的格子。</p>\n\n<p>要求必须写出时间复杂度为 <code>O(m log(n))</code> 或 <code>O(n log(m))</code> 的算法</p>\n\n<p> </p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/08/1.png\" style=\"width: 206px; height: 209px;\" /></p>\n\n<pre>\n<strong>输入:</strong> mat = [[1,4],[3,2]]\n<strong>输出:</strong> [0,1]\n<strong>解释:</strong> 3和4都是顶峰元素所以[1,0]和[0,1]都是可接受的答案。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/07/3.png\" style=\"width: 254px; height: 257px;\" /></strong></p>\n\n<pre>\n<strong>输入:</strong> mat = [[10,20,15],[21,30,14],[7,16,32]]\n<strong>输出:</strong> [1,1]\n<strong>解释:</strong> 30和32都是顶峰元素所以[1,1]和[2,2]都是可接受的答案。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat[i].length</code></li>\n\t<li><code>1 <= m, n <= 500</code></li>\n\t<li><code>1 <= mat[i][j] <= 10<sup>5</sup></code></li>\n\t<li>任意两个相邻元素均不相等.</li>\n</ul>\n",
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"Let's assume that the width of the array is bigger than the height, otherwise, we will split in another direction.",
"Split the array into three parts: central column left side and right side.",
"Go through the central column and two neighbor columns and look for maximum.",
"If it's in the central column - this is our peak.",
"If it's on the left side, run this algorithm on subarray left_side + central_column.",
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