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"categoryTitle": "Algorithms",
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"title": "Map of Highest Peak",
"titleSlug": "map-of-highest-peak",
"content": "<p>You are given an integer matrix <code>isWater</code> of size <code>m x n</code> that represents a map of <strong>land</strong> and <strong>water</strong> cells.</p>\n\n<ul>\n\t<li>If <code>isWater[i][j] == 0</code>, cell <code>(i, j)</code> is a <strong>land</strong> cell.</li>\n\t<li>If <code>isWater[i][j] == 1</code>, cell <code>(i, j)</code> is a <strong>water</strong> cell.</li>\n</ul>\n\n<p>You must assign each cell a height in a way that follows these rules:</p>\n\n<ul>\n\t<li>The height of each cell must be non-negative.</li>\n\t<li>If the cell is a <strong>water</strong> cell, its height must be <code>0</code>.</li>\n\t<li>Any two adjacent cells must have an absolute height difference of <strong>at most</strong> <code>1</code>. A cell is adjacent to another cell if the former is directly north, east, south, or west of the latter (i.e., their sides are touching).</li>\n</ul>\n\n<p>Find an assignment of heights such that the maximum height in the matrix is <strong>maximized</strong>.</p>\n\n<p>Return <em>an integer matrix </em><code>height</code><em> of size </em><code>m x n</code><em> where </em><code>height[i][j]</code><em> is cell </em><code>(i, j)</code><em>&#39;s height. If there are multiple solutions, return <strong>any</strong> of them</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-82045-am.png\" style=\"width: 220px; height: 219px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> isWater = [[0,1],[0,0]]\n<strong>Output:</strong> [[1,0],[2,1]]\n<strong>Explanation:</strong> The image shows the assigned heights of each cell.\nThe blue cell is the water cell, and the green cells are the land cells.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-82050-am.png\" style=\"width: 300px; height: 296px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> isWater = [[0,0,1],[1,0,0],[0,0,0]]\n<strong>Output:</strong> [[1,1,0],[0,1,1],[1,2,2]]\n<strong>Explanation:</strong> A height of 2 is the maximum possible height of any assignment.\nAny height assignment that has a maximum height of 2 while still meeting the rules will also be accepted.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == isWater.length</code></li>\n\t<li><code>n == isWater[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 1000</code></li>\n\t<li><code>isWater[i][j]</code> is <code>0</code> or <code>1</code>.</li>\n\t<li>There is at least <strong>one</strong> water cell.</li>\n</ul>\n",
"translatedTitle": "地图中的最高点",
"translatedContent": "<p>给你一个大小为&nbsp;<code>m x n</code>&nbsp;的整数矩阵&nbsp;<code>isWater</code>&nbsp;,它代表了一个由 <strong>陆地</strong>&nbsp;和 <strong>水域</strong>&nbsp;单元格组成的地图。</p>\n\n<ul>\n\t<li>如果&nbsp;<code>isWater[i][j] == 0</code>&nbsp;,格子&nbsp;<code>(i, j)</code>&nbsp;是一个 <strong>陆地</strong>&nbsp;格子。</li>\n\t<li>如果&nbsp;<code>isWater[i][j] == 1</code>&nbsp;,格子&nbsp;<code>(i, j)</code>&nbsp;是一个 <strong>水域</strong>&nbsp;格子。</li>\n</ul>\n\n<p>你需要按照如下规则给每个单元格安排高度:</p>\n\n<ul>\n\t<li>每个格子的高度都必须是非负的。</li>\n\t<li>如果一个格子是 <strong>水域</strong>&nbsp;,那么它的高度必须为 <code>0</code>&nbsp;。</li>\n\t<li>任意相邻的格子高度差 <strong>至多</strong>&nbsp;为 <code>1</code>&nbsp;。当两个格子在正东、南、西、北方向上相互紧挨着,就称它们为相邻的格子。(也就是说它们有一条公共边)</li>\n</ul>\n\n<p>找到一种安排高度的方案,使得矩阵中的最高高度值&nbsp;<strong>最大</strong>&nbsp;。</p>\n\n<p>请你返回一个大小为&nbsp;<code>m x n</code>&nbsp;的整数矩阵 <code>height</code>&nbsp;,其中 <code>height[i][j]</code>&nbsp;是格子 <code>(i, j)</code>&nbsp;的高度。如果有多种解法,请返回&nbsp;<strong>任意一个</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-82045-am.png\" style=\"width: 220px; height: 219px;\" /></strong></p>\n\n<pre>\n<b>输入:</b>isWater = [[0,1],[0,0]]\n<b>输出:</b>[[1,0],[2,1]]\n<b>解释:</b>上图展示了给各个格子安排的高度。\n蓝色格子是水域格绿色格子是陆地格。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/10/screenshot-2021-01-11-at-82050-am.png\" style=\"width: 300px; height: 296px;\" /></strong></p>\n\n<pre>\n<b>输入:</b>isWater = [[0,0,1],[1,0,0],[0,0,0]]\n<b>输出:</b>[[1,1,0],[0,1,1],[1,2,2]]\n<b>解释:</b>所有安排方案中,最高可行高度为 2 。\n任意安排方案中只要最高高度为 2 且符合上述规则的,都为可行方案。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == isWater.length</code></li>\n\t<li><code>n == isWater[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 1000</code></li>\n\t<li><code>isWater[i][j]</code>&nbsp;要么是&nbsp;<code>0</code>&nbsp;,要么是&nbsp;<code>1</code>&nbsp;。</li>\n\t<li>至少有 <strong>1</strong>&nbsp;个水域格子。</li>\n</ul>\n",
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