Matrix ChainMultiplication
#include <bits/stdc++.h>
using namespace std;
int MatrixChainOrder(int p[], int n)
{
int m[n][n],s[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;
}
}
}
}
cout<<endl<<endl;
for(int i=1;i<n;i++)
{
for(int j=1;j<n;j++)
{
if(i<=j)
cout<<m[i][j]<<"\t";
else
cout<<"-1\t";
}
cout<<endl;
}
cout << "Minimum number of multiplications is ";
return m[1][n - 1];
}
int main()
{
int arr[] = { 4,45,3,2,7,5 };
int size = sizeof(arr) / sizeof(arr[0]);
cout <<MatrixChainOrder(arr, size);
getchar();
return 0;
}
krishnaa s