Create burst_balloons.cpp

Author: avidLearnerInProgress

burst_balloons.cpp

@@ -0,0 +1,25 @@
+class Solution {
+public:
+    int maxCoins(vector<int>& nums) {
+        int n = nums.size();
+        int len = n+2;
+        vector<int> arr = {1};
+        for(auto& num : nums)
+            arr.push_back(num);
+        
+        arr.push_back(1);
+        vector<vector<int>> dp(len, vector<int>(len, 0));
+        
+        for(int gap = 2; gap < len; gap++) {
+            for(int left = 0; left < len-gap; left++) {
+                int right = left+gap;
+                int cur = 0;
+                for(int mid = left+1; mid < right; mid++) {
+                    cur = max(cur, dp[left][mid]+dp[mid][right]+arr[left]*arr[mid]*arr[right]);
+                }
+                dp[left][right] = cur;
+            }
+        }
+        return dp[0][len-1];
+    }
+};