286. Walls and Gates

You are given a m x n 2D grid initialized with these three possible values.

  1. -1- A wall or an obstacle.

  2. 0- A gate.

  3. INF- Infinity means an empty room. We use the value 2^31- 1 = 2147483647to represent INFas you may assume that the distance to a gate is less than 2147483647.

Fill each empty room with the distance to itsnearestgate. If it is impossible to reach a gate, it should be filled withINF.

Example:

Given the 2D grid:

INF  -1  0  INF
INF INF INF  -1
INF  -1 INF  -1
  0  -1 INF INF

After running your function, the 2D grid should be:

  3  -1   0   1
  2   2   1  -1
  1  -1   2  -1
  0  -1   3   4

Thoughts:

  1. BFS and fill the empty rooms with current distance

Code: T: O(mn); S:O(mn)

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