From 5b134831b267d0877220cba8b02663ea255fc614 Mon Sep 17 00:00:00 2001
From: anish602 <116447899+anish602@users.noreply.github.com>
Date: Sat, 22 Oct 2022 20:47:19 +0530
Subject: [PATCH] Created Maximum Product Subarray

Added Leetcode standard problem Maximum Product Subarray. Kindly review it and merge it.
---
 Dynamic Programming/Maximum Product Subarray | 15 +++++++++++++++
 1 file changed, 15 insertions(+)
 create mode 100644 Dynamic Programming/Maximum Product Subarray

diff --git a/Dynamic Programming/Maximum Product Subarray b/Dynamic Programming/Maximum Product Subarray
new file mode 100644
index 0000000..e46d94c
--- /dev/null
+++ b/Dynamic Programming/Maximum Product Subarray	
@@ -0,0 +1,15 @@
+class Solution {
+public:
+    int maxProduct(vector<int>& nums) {
+        vector<int> max_dp(nums.size() + 1, INT_MAX);
+        vector<int> min_dp(nums.size() + 1, INT_MIN);
+        max_dp[0] = 1; min_dp[0] = 1;
+        int res = INT_MIN;
+        for(int i = 0; i < nums.size(); ++i){
+            max_dp[i + 1] = max(max_dp[i] * nums[i], max(min_dp[i] * nums[i], nums[i]));
+            min_dp[i + 1] = min(max_dp[i] * nums[i], min(min_dp[i] * nums[i], nums[i]));
+            res = max(res, max_dp[i + 1]);
+        }
+        return res;
+    }
+};