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Rotting Oranges

You are given an m x n grid where each cell can have one of three values: Every minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.

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

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.

Rotting Oranges diagram

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.

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