Merge pull request #374 from joyeta148/master

Added Matrix Chain Multiplication code in C++

Author: amritansh22

MatrixChainMultiplication.cpp

@@ -0,0 +1,35 @@
+#include<iostream>
+#include<limits.h>
+using namespace std;
+int MatrixChainMultiplication(int p[], int n){
+    int m[n][n];
+    int i, j, k, L, q;
+    for (i=1; i<n; i++)
+        m[i][i] = 0;
+    for (L=2; L<n; L++){
+        for (i=1; i<n-L+1; i++){
+            j = i+L-1;
+            m[i][j] = INT_MAX;
+            for (k=i; k<=j-1; k++){
+                q = m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j];
+                if (q < m[i][j])
+                    m[i][j] = q;
+            }
+        }
+    }
+    return m[1][n-1];
+}
+int main(){
+    int n,i;
+    cout<<"Enter number of matrices: ";
+    cin>>n;
+    int arr[n];
+    cout<<"\nEnter dimensions of all matrices:- \n";
+    for(i=0;i<n;i++){
+        cout<<"Enter Dimension d"<<i<<" : ";
+        cin>>arr[i];
+    }
+    int size = sizeof(arr)/sizeof(arr[0]);
+    cout<<"\nMinimum number of multiplications : "<<MatrixChainMultiplication(arr, size) <<"\n";
+    return 0;
+}