From 5454b9ca8eb0301d1c283e70ef86ac19f2856f63 Mon Sep 17 00:00:00 2001
From: chayan das <110921638+Chayandas07@users.noreply.github.com>
Date: Tue, 14 May 2024 17:30:16 +0530
Subject: [PATCH] Create 1219. Path with Maximum Gold

---
 1219. Path with Maximum Gold | 33 +++++++++++++++++++++++++++++++++
 1 file changed, 33 insertions(+)
 create mode 100644 1219. Path with Maximum Gold

diff --git a/1219. Path with Maximum Gold b/1219. Path with Maximum Gold
new file mode 100644
index 0000000..3a71593
--- /dev/null
+++ b/1219. Path with Maximum Gold	
@@ -0,0 +1,33 @@
+class Solution {
+public:
+    vector<vector<int>> next = {{0,1},{0,-1},{1,0},{-1,0}};
+    int getMaximumGold(vector<vector<int>>& g) {
+        int res =0,n=g.size(),m=g[0].size();
+        for(int i=0;i<n;i++) {
+            for(int j=0;j<m;j++) {
+                res = max(res, backTrack(g,i,j,n,m));
+            }
+        }
+        return res;
+    }
+
+    int backTrack(vector<vector<int>>& g, int r, int c, int n, int m) {
+        if(!isValid(r, c, n, m) || g[r][c]==0) return 0;
+        int currVal = g[r][c];
+        g[r][c]=0;
+        int res = currVal;
+        int nextRes = 0;
+        for(int i=0;i<4;i++) {
+            int nextR = r + next[i][0];
+            int nextC = c + next[i][1];
+            nextRes = max(backTrack(g,nextR, nextC,n,m), nextRes);
+        }
+        g[r][c]=currVal;
+        return res + nextRes;
+    }
+
+    bool isValid(int r, int c, int n, int m) {
+        bool res = (r>=0 && c>=0 && r<n && c<m);
+        return res;
+    }
+};