Create PathWithMinimumEffort.cpp

Graphs/PathWithMinimumEffort.cpp

@@ -0,0 +1,42 @@
+class Solution {
+public:
+    int minimumEffortPath(vector<vector<int>>& heights) {
+
+        // {diff,{row,col}}
+       priority_queue<pair<int,pair<int,int>>,
+       vector<pair<int,pair<int,int>>>,
+       greater<pair<int,pair<int,int>>>>pq;
+       int n=heights.size();
+       int m=heights[0].size();
+       vector<vector<int>>dist(n,vector<int>(m,1e9));
+       dist[0][0]=0;
+       pq.push({0,{0,0}});
+       int dr[]={-1,0,1,0};
+       int dc[]={0,1,0,-1};
+       while(!pq.empty()){
+            auto it=pq.top();
+            pq.pop();
+            int diff=it.first;
+            int row=it.second.first;
+            int col=it.second.second;
+            if(row==n-1 && col==m-1){
+                return diff;
+            }
+            // {row-1,col} ,{row,col+1},{row+1,col},{row,col-1}
+            for(int i=0;i<4;i++){
+                int nrow=row+dr[i];
+                int ncol=col+dc[i];
+                if(nrow>=0 && ncol>=0 && nrow<n && ncol<m ){
+                        int newEffort=max(abs(heights[row][col]-heights[nrow][ncol]),diff);
+                        if(newEffort<dist[nrow][ncol]){
+                            dist[nrow][ncol]=newEffort;
+                            pq.push({newEffort,{nrow,ncol}});
+                        }
+
+                }
+            }
+       }
+
+    return 0;
+    }
+};