Question 47 of 75 - LeetCode Weekly Challenge

LeetCode Challenge #1926. Nearest Exit from Entrance in Maze

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 updownleft, 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:

nearest1 grid

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:

nearesr2 grid

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:

nearest3 grid

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.
Video Solution
C++ Solution
				
					class Solution {
public:
    int bfs(vector<vector<char>>& maze, int n, int m, int x, int y)
    {
        queue<pair<int,int>> 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<vector<char>>& maze, vector<int>& 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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