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MatrixChainMultiplication.c
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#include <stdio.h>
// Matrix Chain Multiplication
long m[10][10];
long MatrixChainMultiplication(long p[], long n);
int main()
{
long size;
printf("Enter the size of the array : ");
scanf("%ld", &size);
long arr[size];
printf("Enter the elements of the array \n");
for (int i = 0; i < size; i++)
{
printf("Element %d : ", i + 1);
scanf("%ld", &arr[i]);
}
printf("Total Multiplication : %ld \n", MatrixChainMultiplication(arr, size));
return 0;
}
long MatrixChainMultiplication(long p[], long n){
long q,j;
for(long i=1;i<n;i++)
m[i][i]=0;
for(long d=1;d<n-1;d++){
for(long i=1;i<n-d;i++){
j=i+d;
m[i][j]=9999;
for(long k=i;k<j;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];
}