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 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 4Solution:
BFS
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class Solution { | |
public: | |
void Fill(vector<vector<int>>& rooms, int entry, int num, int width, int height){ | |
int row = entry/width; | |
int col = entry%width; | |
rooms[row][col] = num; | |
if(row-1>=0 && rooms[row-1][col]>(num+1)) | |
Fill(rooms, (row-1)*width+col, num+1, width, height); | |
if(col-1>=0 && rooms[row][col-1]>(num+1)) | |
Fill(rooms, row*width+col-1, num+1, width, height); | |
if(row+1<=height-1 && rooms[row+1][col]>(num+1)) | |
Fill(rooms, (row+1)*width+col, num+1, width, height); | |
if(col+1<=width-1 && rooms[row][col+1]>(num+1)) | |
Fill(rooms, row*width+col+1, num+1, width, height); | |
} | |
void wallsAndGates(vector<vector<int>>& rooms) { | |
if(rooms.empty()) | |
return; | |
int m = rooms.size(); | |
int n = rooms[0].size(); | |
for(int i=0; i<m; i++) | |
for(int j=0; j<n; j++) | |
if(rooms[i][j]==0) | |
Fill(rooms, i*n+j, 0, n, m); | |
} | |
}; |
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