From 86ba3cb224656b8d3e70e891f651dd6e234488e4 Mon Sep 17 00:00:00 2001
From: Sourav Sharma <51079951+neoneww@users.noreply.github.com>
Date: Thu, 21 Oct 2021 14:23:46 +0530
Subject: [PATCH] Create mcm.cpp

---
 mcm.cpp | 32 ++++++++++++++++++++++++++++++++
 1 file changed, 32 insertions(+)
 create mode 100644 mcm.cpp

diff --git a/mcm.cpp b/mcm.cpp
new file mode 100644
index 0000000..8829a60
--- /dev/null
+++ b/mcm.cpp
@@ -0,0 +1,32 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+int mcm_memo(vector<int> &arr, int si, int ei, vector<vector<int>> &dp)
+{
+    if (ei - si == 1)
+    {
+        return dp[si][ei] = 0;
+    }
+
+    if (dp[si][ei] != 0)
+    {
+        return dp[si][ei];
+    }
+
+    int minRes = (int)1e9;
+    for (int i = si + 1; i < ei; i++)
+    {
+        int leftRes = mcm_memo(arr, si, i, dp);
+        int rightRes = mcm_memo(arr, i, ei, dp);
+
+        minRes = min(minRes, leftRes + arr[si] * arr[i] * arr[ei] + rightRes);
+    }
+    dp[si][ei] = minRes;
+    return minRes;
+}
+
+int matrixMultiplication(vector<int> &arr, int n)
+{
+    vector<vector<int>> dp(n, vector<int>(n , 0));
+    return mcm_memo(arr, 0, n-1, dp);
+}