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腐烂的橘子

Rotting Oranges

专题
Algorithmic Programming / 算法编程
难度
L3
来源
Citadel

题目详情

问题:腐烂的橘子

考察:数组、图

来源:Citadel

链接:https://www.jointaro.com/interviews/questions/rotting-oranges/

You are given an m x n grid where each cell can have one of three values:

  • 0 representing an empty cell,
  • 1 representing a fresh orange, or
  • 2 representing a rotten orange.

Every minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.

Return the minimum number of minutes that must elapse until no cell has a fresh orange. If this is impossible, return -1.

 

Example 1:

Input: grid = [[2,1,1],[1,1,0],[0,1,1]]
Output: 4

Example 2:

Input: grid = [[2,1,1],[0,1,1],[1,0,1]]
Output: -1
Explanation: The orange in the bottom left corner (row 2, column 0) is never rotten, because rotting only happens 4-directionally.

Example 3:

Input: grid = [[0,2]]
Output: 0
Explanation: Since there are already no fresh oranges at minute 0, the answer is just 0.

 

Constraints:

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n <= 10
  • grid[i][j] is 0, 1, or 2.
解析

思路:多源 BFS。先把所有腐烂橘子入队并统计新鲜橘子数,每一层代表一分钟,扩散到相邻新鲜橘子并减少计数。

复杂度:时间 O(mn),空间 O(mn)。