Create MinimumCosttoMakeatLeastOneValidPathinaGrid.cpp

Graphs/MinimumCosttoMakeatLeastOneValidPathinaGrid.cpp

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+class Solution {
+public:
+    int minCost(vector<vector<int>>& grid) {
+        int n=grid.size(),m=grid[0].size();
+
+      priority_queue<pair<int, pair<int, int>>, vector<pair<int, pair<int, int>>>, greater<>> pq;
+        pq.push({0,{0,0}});
+        vector<vector<int>> visited(n, vector<int>(m, 1e9));
+        visited[0][0]=0;
+       int delrow[]={0,0,1,-1};
+        int delcol[]={1,-1,0,0};
+        while(!pq.empty()){
+           int cost=pq.top().first;
+           int row=pq.top().second.first;
+           int col=pq.top().second.second;
+           pq.pop();
+           if(row==n-1 && col==m-1){
+            return cost;
+           }
+
+           for(int ind=0;ind<4;ind++){
+            int nrow=row+delrow[ind];
+            int ncol=col+delcol[ind];
+            int ncost=cost+(ind+1!=grid[row][col]);            
+            if(nrow>=0 && nrow<n && ncol>=0 && ncol<m && ncost<visited[nrow][ncol]){
+                visited[nrow][ncol]=ncost;
+                pq.push({ncost,{nrow,ncol}});
+
+            }
+           }
+        }
+
+    return 0;
+    }
+};