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{
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"title": "Map of Highest Peak",
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"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>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>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",
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"code": "class Solution {\npublic:\n vector<vector<int>> highestPeak(vector<vector<int>>& isWater) {\n \n }\n};",
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"code": "class Solution(object):\n def highestPeak(self, isWater):\n \"\"\"\n :type isWater: List[List[int]]\n :rtype: List[List[int]]\n \"\"\"\n ",
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"code": "\n\n/**\n * Return an array of arrays of size *returnSize.\n * The sizes of the arrays are returned as *returnColumnSizes array.\n * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().\n */\nint** highestPeak(int** isWater, int isWaterSize, int* isWaterColSize, int* returnSize, int** returnColumnSizes){\n\n}",
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"code": "# @param {Integer[][]} is_water\n# @return {Integer[][]}\ndef highest_peak(is_water)\n \nend",
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"code": "impl Solution {\n pub fn highest_peak(is_water: Vec<Vec<i32>>) -> Vec<Vec<i32>> {\n \n }\n}",
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"code": "(define/contract (highest-peak isWater)\n (-> (listof (listof exact-integer?)) (listof (listof exact-integer?)))\n\n )",
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"code": "defmodule Solution do\n @spec highest_peak(is_water :: [[integer]]) :: [[integer]]\n def highest_peak(is_water) do\n\n end\nend",
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"hints": [
"Set each water cell to be 0. The height of each cell is limited by its closest water cell.",
"Perform a multi-source BFS with all the water cells as sources."
],
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