Mcm

#include <limits.h>

#include <stdio.h>

// Matrix Ai has dimension p[i-1] x p[i]

// for i = 1 . . . n

int MatrixChainOrder(int p[], int i, int j)

{

    if (i == j)

        return 0;

    int k;

    int min = INT_MAX;

    int count;

    // Place parenthesis at different places, // between first and last matrix, // for each parenthesis placement

    // and return the minimum count

    for (k = i; k < j; k++)

    {

        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 code

int main()

{

    int arr[] = { 1, 2, 3, 4, 3 };

    int N = sizeof(arr) / sizeof(arr[0]);

    // Function call

    printf("Minimum number of multiplications is %d ",

           MatrixChainOrder(arr, 1, N - 1));

    getchar();

    return 0;

 }