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Walls And Gates | Graph traversal problem solution

 Walls And Gates | Leetcode 286 solution 

You are given a m x n 2D grid initialized with these three possible values.

  1. -1 - A wall or an obstacle.
  2. 0 - A gate.
  3. INF - Infinity means an empty room. We use the value 231 - 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.

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 : 

#include <bits/stdc++.h>
vector<vector<int>> wallsAndGates(vector<vector<int>> &a, int n, int m) {
    // Write your code here.
    queue<pair<int , int>>q;
    // vector<pair<int, int>>vect;
                  vector<vector<int>>visited(n , vector<int>(m , 0));

    for(int i =0; i < n ; i++ )
    {
        for(int j =0; j < m ; j++)
        {
           
            if(a[i][j] == 0)
            {
                visited[i][j] =1;
                q.push({i, j});
            }
        }
    }
   
        //    visited[vect[l].first][vect[l].second] =1;
    while(!q.empty())
    {
        auto node = q.front();
        int i = node.first;
        int j = node.second;
        q.pop();
        int x[4] = {0 , 1 , 0, -1};
        int y[4] = {1 , 0 , -1 , 0};
        for(int k =0 ; k < 4 ; k++)
        {
            int row = i + x[k];
            int col = j + y[k];
            if(row >=0  && row < n && col >=0 && col < m && !visited[row][col] &&
            a[row][col] != -1 && a[row][col] != 0)
            {
                visited[row][col] = 1;
                a[row][col] = min(a[row][col], a[i][j] +1 );
                q.push({row, col});
            }
        }
    }

    return a;
}

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