You are given a m x n 2D grid initialized with these three possible values.
-1
- A wall or an obstacle.0
- A gate.INF
- Infinity means an empty room. We use the value231 - 1 = 2147483647
to representINF
as you may assume that the distance to a gate is less than2147483647
.Fill each empty room with the distance to its nearest gate. If it is impossible to reach a gate, it should be filled with
INF
.For example, given the 2D grid:
INF -1 0 INF INF INF INF -1 INF -1 INF -1 0 -1 INF INFAfter running your function, the 2D grid should be:
3 -1 0 1 2 2 1 -1 1 -1 2 -1 0 -1 3 4