Cod sursa(job #925813)

Utilizator taigi100Cazacu Robert taigi100 Data 24 martie 2013 19:16:55
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.64 kb
#include<stdio.h>

#define max 505
#define min(a,b) ((a)<(b) ? (a):(b))
#define inf 100000000000000000LL

long long best[max][max],d[max];
int n;

int main()
{
	freopen("podm.in","r",stdin);
	freopen("podm.out","w",stdout);
	
	scanf("%lld",&n);
	for(int i=0;i<=n;i++)
		scanf("%lld",&d[i]);
	for(int i=1;i<=n;i++) best[i][i]=0;
	for(int i=1;i<=n-1;i++) best[i][i+1]=d[i-1]*d[i]*d[i+1];
	for(int i=2;i<=n-1;i++)
		for(int j=1;j<=n-i;j++)
		{
			int k=i+j;
			best[j][k]=inf;
			for(int q=j;q<=k-1;q++)
				best[j][k]=min(best[j][k],best[j][q] + best[q+1][k] +d[j-1]*d[q]*d[k]);
		}
		printf("%lld",best[1][n]);
		return 0;
}