From ee2d7a7bdbc2de73256f2173570bca11eff90692 Mon Sep 17 00:00:00 2001
From: Samya Subhro Roy <samyasubhro@gmail.com>
Date: Mon, 14 Oct 2019 18:07:20 +0530
Subject: [PATCH] matrixChainMultiplication in python is written

matrixChainMultiplication in python using dynamic programming algo is written
---
 .../MatrixChainMuliplication.py               | 44 +++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100644 Dynamic Programming/MatrixChainMuliplication.py

diff --git a/Dynamic Programming/MatrixChainMuliplication.py b/Dynamic Programming/MatrixChainMuliplication.py
new file mode 100644
index 0000000..d45c9fa
--- /dev/null
+++ b/Dynamic Programming/MatrixChainMuliplication.py	
@@ -0,0 +1,44 @@
+#Matrix Chain Multiplication using dynamic programming approach
+# A naive recursive implementation that 
+# simply follows the above optimal  
+# substructure property  
+
+import sys 
+  
+# Matrix A[i] has dimension p[i-1] x p[i] 
+# for i = 1..n 
+def MatrixChainOrder(p, i, j): 
+  
+    if i == j: 
+        return 0
+  
+    _min = sys.maxsize 
+      
+    # place parenthesis at different places  
+    # between first and last matrix,  
+    # recursively calculate count of 
+    # multiplications for each parenthesis 
+    # placement and return the minimum count 
+    for k in range(i, j): 
+      
+        count = (MatrixChainOrder(p, i, k)  
+             + MatrixChainOrder(p, k+1, j) 
+                   + p[i-1] * p[k] * p[j]) 
+  
+        if count < _min: 
+            _min = count; 
+      
+  
+    # Return minimum count 
+    return _min; 
+  
+  
+# Driver program to test above function 
+arr = [1, 2, 3, 4, 3]; 
+n = len(arr); 
+  
+print("Minimum number of multiplications is ", 
+                MatrixChainOrder(arr, 1, n-1));
+                
+                
+# code is contributed by Samya Subhro Roy :)