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#include <stdio.h>
#include <limits.h>
int MatrixChainOrder(int p[], int n)
{
int m[n][n];
int paren[n][n];
int i, j, k, L, q;
for (i = 0; i<n; i++)
{
m[i][i] = 0;
for (j = 0; j<n; j++)
{
paren[i][j] = 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;
paren[i][j] = k;
}
}
}
}
printf("Cost Matrix: \n");
for (i = 1; i<n; i++)
{
for (j = 1; j<n; j++)
{
printf("%d\t", m[i][j]);
}
printf("\n");
}
return m[1][n - 1];
}
int main()
{
int arr[] = {1, 2, 3, 4, 5};
int size = sizeof(arr) / sizeof(arr[0]);
printf("Minimum number of multiplications is %d\n", MatrixChainOrder(arr, size));
return 0;
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