{ "data": { "question": { "questionId": "1876", "questionFrontendId": "1765", "categoryTitle": "Algorithms", "boundTopicId": 607716, "title": "Map of Highest Peak", "titleSlug": "map-of-highest-peak", "content": "
You are given an integer matrix isWater
of size m x n
that represents a map of land and water cells.
isWater[i][j] == 0
, cell (i, j)
is a land cell.isWater[i][j] == 1
, cell (i, j)
is a water cell.You must assign each cell a height in a way that follows these rules:
\n\n0
.1
. 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).Find an assignment of heights such that the maximum height in the matrix is maximized.
\n\nReturn an integer matrix height
of size m x n
where height[i][j]
is cell (i, j)
's height. If there are multiple solutions, return any of them.
\n
Example 1:
\n\n\n\n
\nInput: isWater = [[0,1],[0,0]]\nOutput: [[1,0],[2,1]]\nExplanation: 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\n\n
Example 2:
\n\n\n\n
\nInput: isWater = [[0,0,1],[1,0,0],[0,0,0]]\nOutput: [[1,1,0],[0,1,1],[1,2,2]]\nExplanation: 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\n\n
\n
Constraints:
\n\nm == isWater.length
n == isWater[i].length
1 <= m, n <= 1000
isWater[i][j]
is 0
or 1
.给你一个大小为 m x n
的整数矩阵 isWater
,它代表了一个由 陆地 和 水域 单元格组成的地图。
isWater[i][j] == 0
,格子 (i, j)
是一个 陆地 格子。isWater[i][j] == 1
,格子 (i, j)
是一个 水域 格子。你需要按照如下规则给每个单元格安排高度:
\n\n0
。1
。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)找到一种安排高度的方案,使得矩阵中的最高高度值 最大 。
\n\n请你返回一个大小为 m x n
的整数矩阵 height
,其中 height[i][j]
是格子 (i, j)
的高度。如果有多种解法,请返回 任意一个 。
\n\n
示例 1:
\n\n\n\n
\n输入:isWater = [[0,1],[0,0]]\n输出:[[1,0],[2,1]]\n解释: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\n\n
示例 2:
\n\n\n\n
\n输入:isWater = [[0,0,1],[1,0,0],[0,0,0]]\n输出:[[1,1,0],[0,1,1],[1,2,2]]\n解释: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\n\n
\n\n
提示:
\n\nm == isWater.length
n == isWater[i].length
1 <= m, n <= 1000
isWater[i][j]
要么是 0
,要么是 1
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out-of-bounds<\\/code>\\u548c
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