// 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
public class WallsAndGates {
public void wallsAndGates(int[][] rooms) {
//iterate through the matrix calling dfs on all indices that contain a zero
for(int i = 0; i < rooms.length; i++) {
for(int j = 0; j < rooms[0].length; j++) {
if(rooms[i][j] == 0) {
dfs(rooms, i, j, 0);
}
}
}
}
void dfs(int[][] rooms, int i, int j, int distance) {
//if you have gone out of the bounds of the array or you have run into a wall/obstacle, return
// room[i][j] < distance also ensure that we do not overwrite any previously determined distance if it is shorter than our current distance
if(i < 0 || i >= rooms.length || j < 0 || j >= rooms[0].length || rooms[i][j] < distance) {
return;
}
//set current index's distance to distance
rooms[i][j] = distance;
//recurse on all adjacent neighbors of rooms[i][j]
dfs(rooms, i + 1, j, distance + 1);
dfs(rooms, i - 1, j, distance + 1);
dfs(rooms, i, j + 1, distance + 1);
dfs(rooms, i, j - 1, distance + 1);
}
}
// -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
public class WallsAndGates {
public void wallsAndGates(int[][] rooms) {
//iterate through the matrix calling dfs on all indices that contain a zero
for(int i = 0; i < rooms.length; i++) {
for(int j = 0; j < rooms[0].length; j++) {
if(rooms[i][j] == 0) {
dfs(rooms, i, j, 0);
}
}
}
}
void dfs(int[][] rooms, int i, int j, int distance) {
//if you have gone out of the bounds of the array or you have run into a wall/obstacle, return
// room[i][j] < distance also ensure that we do not overwrite any previously determined distance if it is shorter than our current distance
if(i < 0 || i >= rooms.length || j < 0 || j >= rooms[0].length || rooms[i][j] < distance) {
return;
}
//set current index's distance to distance
rooms[i][j] = distance;
//recurse on all adjacent neighbors of rooms[i][j]
dfs(rooms, i + 1, j, distance + 1);
dfs(rooms, i - 1, j, distance + 1);
dfs(rooms, i, j + 1, distance + 1);
dfs(rooms, i, j - 1, distance + 1);
}
}
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