# 286 Walls and Gates

### Problem:

```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 value 2^31 - 1 = 2147483647 to represent INF as you may assume that the distance to a gate is less than 2147483647.
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   4
```

### Solution:

``````public class Solution {
public void wallsAndGates(int[][] rooms) {
for (int i = 0; i < rooms.length; i ++) {
for (int j = 0; j < rooms[0].length; j ++) {
if (rooms[i][j] == 0) {
visit(rooms, i, j, 0);
}
}
}
}
private void visit(int[][] rooms, int i, int j, int step) {
if (i < 0 || j < 0 || i >= rooms.length || j >= rooms[0].length || rooms[i][j] < step) {
return;
}
rooms[i][j] = step;
visit(rooms, i - 1, j, step + 1);
visit(rooms, i, j - 1, step + 1);
visit(rooms, i + 1, j, step + 1);
visit(rooms, i, j + 1, step + 1);
}
}
``````
``````public class Solution {
public void wallsAndGates(int[][] rooms) {
if (rooms == null || rooms.length == 0 || rooms[0].length == 0) {
return;
}
int m = rooms.length;
int n = rooms[0].length;
for (int i = 0; i < m; i ++) {
for (int j = 0; j < n; j ++) {
if (rooms[i][j] == 0) {
}
}
}
while (q.size() > 0) {
int tmp = q.poll();
int x = tmp / n;
int y = tmp % n;
if (x > 0 && rooms[x-1][y] ==Integer.MAX_VALUE) {
rooms[x-1][y] = rooms[x][y] + 1;
}
if (x < m - 1 && rooms[x+1][y] ==Integer.MAX_VALUE) {
rooms[x+1][y] = rooms[x][y] + 1;
}
if (y > 0 && rooms[x][y-1] ==Integer.MAX_VALUE) {
rooms[x][y-1] = rooms[x][y] + 1;
q.add(x * n + y - 1);
}
if (y < n - 1 && rooms[x][y+1] ==Integer.MAX_VALUE) {
rooms[x][y+1] = rooms[x][y] + 1;
q.add(x * n + y + 1);
}
}
}
}
``````
``````public class Solution {
public void wallsAndGates(int[][] rooms) {
for (int i = 0; i < rooms.length; i ++) {
for (int j = 0; j < rooms[0].length; j ++) {
if (rooms[i][j] == 0) {
visit(rooms, i, j);
}
}
}
}
private void visit(int[][] rooms, int i, int j) {
int[][] dir = new int[][]{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
for (int k = 0; k < dir.length; k ++) {
int ni = i + dir[k][0];
int nj = j + dir[k][1];
if (ni < 0 || nj < 0 || ni >= rooms.length || nj >= rooms[0].length || rooms[i][j] + 1 >= rooms[ni][nj] ) {
continue;
}
rooms[ni][nj] = rooms[i][j] + 1;
visit(rooms, ni, nj);
}
}
}
``````