You are given an m x n
matrix maze
(0-indexed) with empty cells (represented as '.'
) and walls (represented as '+'
). You are also given the entrance
of the maze, where entrance = [entrancerow, entrancecol]
denotes the row and column of the cell you are initially standing at.
In one step, you can move one cell up, down, left, or right. You cannot step into a cell with a wall, and you cannot step outside the maze. Your goal is to find the nearest exit from the entrance
. An exit is defined as an empty cell that is at the border of the maze
. The entrance
does not count as an exit.
Return the number of steps in the shortest path from the entrance
to the nearest exit, or -1
if no such path exists.
Example 1:
Input: maze = [["+","+",".","+"],[".",".",".","+"],["+","+","+","."]], entrance = [1,2] Output: 1 Explanation: There are 3 exits in this maze at [1,0], [0,2], and [2,3]. Initially, you are at the entrance cell [1,2]. - You can reach [1,0] by moving 2 steps left. - You can reach [0,2] by moving 1 step up. It is impossible to reach [2,3] from the entrance. Thus, the nearest exit is [0,2], which is 1 step away.
Example 2:
Input: maze = [["+","+","+"],[".",".","."],["+","+","+"]], entrance = [1,0] Output: 2 Explanation: There is 1 exit in this maze at [1,2]. [1,0] does not count as an exit since it is the entrance cell. Initially, you are at the entrance cell [1,0]. - You can reach [1,2] by moving 2 steps right. Thus, the nearest exit is [1,2], which is 2 steps away.
Example 3:
Input: maze = [[".","+"]], entrance = [0,0] Output: -1 Explanation: There are no exits in this maze.
Constraints:
maze.length == m
maze[i].length == n
1 <= m, n <= 100
maze[i][j]
is either '.'
or '+'
.entrance.length == 2
0 <= entrancerow < m
0 <= entrancecol < n
entrance
will always be an empty cell.
class Solution {
public:
int bfs(vector>& maze, int n, int m, int x, int y)
{
queue> q;
q.push({x,y});
maze[x][y]='+';
int steps=0;
while(!q.empty())
{
int size=q.size();
bool moved=false;
while(size--)
{
int currx=q.front().first;
int curry=q.front().second;
q.pop();
int thisx[]={-1,1,0,0};
int thisy[]={0,0,-1,1};
for(int i=0; i<4; i++)
{
int row=thisx[i]+currx;
int col= thisy[i]+curry;
if(row>=0 and col>=0 and row<=n-1 and col<=m-1 and maze[row][col]=='.')
{
if(row==0 || col==0 || row==n-1 || col==m-1)return steps+1;
maze[row][col]='+';
q.push({row,col});
moved=true;
}
}
}
if(moved)steps++;
}
return -1;
}
int nearestExit(vector>& maze, vector& entrance) {
int n=maze.size();
int m=maze[0].size();
int ans=bfs(maze,n,m,entrance[0],entrance[1]);
return ans;
}
};
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