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# Rotting Oranges

Moderate
0/80
Average time to solve is 20m
Contributed by

## Problem statement

You have been given a grid containing some oranges. Each cell of this grid has one of the three integers values:

• Value 0 - representing an empty cell.
• Value 1 - representing a fresh orange.
• Value 2 - representing a rotten orange.
• Every second, any fresh orange that is adjacent(4-directionally) to a rotten orange becomes rotten.

Your task is to find out the minimum time after which no cell has a fresh orange. If it's impossible to rot all the fresh oranges then print -1.

Note:
``````1. The grid has 0-based indexing.
2. A rotten orange can affect the adjacent oranges 4 directionally i.e. Up, Down, Left, Right.
``````
Detailed explanation ( Input/output format, Notes, Images )
Input Format:
``````The first line of input contains two single space-separated integers 'N' and 'M' representing the number of rows and columns of the grid respectively.

The next 'N' lines contain 'M' single space-separated integers each representing the rows of the grid.
``````
Output Format:
``````The only line of output contains a single integer i.e. The minimum time after which no cell has a fresh orange.

If it's impossible to rot all oranges, print -1.
``````
Note:
``````You are not required to print the expected output, it has already been taken care of. Just implement the function.
``````
Constraints:
``````1 <= N <= 500
1 <= M <= 500
0 <= grid[i][j] <= 2

Time Limit: 1 sec
``````
##### Sample Input 1:
``````3 3
2 1 1
1 1 0
0 1 1
``````
##### Sample Output 1:
``````4
``````
##### Explanation of Sample Input 1:
``````Minimum 4 seconds are required to rot all the oranges in the grid as shown below.
``````

##### Sample Input 2:
``````3 3
2 1 0
0 1 1
1 0 1
``````
##### Sample Output 2:
``````-1
``````
##### Explanation of Sample Input 2:
``````The bottom left corner fresh orange (row 2, column 0) has no adjacent oranges. Hence, it's impossible to rot it.
``````
Console