Create Matrix_Mutiplication.cpp

Author: Nirav116

DP/MatrixChain_multiplication/Matrix_Mutiplication.cpp

@@ -0,0 +1,66 @@
+#include <bits/stdc++.h>
+using namespace std;
+int n=0;
+int val[100000];
+int m=1000000;
+int mx[1000][1000];
+void print(int x,int y)
+{
+	if(x==y)
+	{
+		cout<<x-1;
+	}
+	else
+	{
+		cout<<"(";
+		print(x,mx[y][x]);
+		print(mx[y][x]+1,y);
+		cout<<")";
+
+	}
+
+}
+
+void fun()
+{
+    
+    for(int i=0;i<=n;i++)
+        mx[i][i]=0;
+    for(int x=2;x<n;x++)
+    {
+        for(int j=1;j<n-x+1;j++)
+        {
+            int i=j+x-1;
+            mx[j][i]=m;
+            for(int k=j;k<i;k++)
+            {
+                
+                int w=mx[j][k]+mx[k+1][i]+val[j-1]*val[k]*val[i];
+		if(w<mx[j][i])
+		{
+		mx[i][j]=k;
+                mx[j][i]=min(mx[j][i],w);
+		}
+            }
+           
+            
+            
+        }
+    }
+	print(1,n-1);
+	cout<<endl;	
+    cout<<mx[1][n-1]<<endl;
+
+}
+
+int main() {
+  
+    cin>>n;
+    
+    for(int i=0;i<n;i++)
+    {
+        cin>>val[i];
+    }
+    fun();
+    return 0;
+}