Cod sursa(job #379896)

Utilizator elmercerAlex Mercer elmercer Data 4 ianuarie 2010 12:55:09
Problema Parantezare optima de matrici Scor 90
Compilator cpp Status done
Runda Arhiva educationala Marime 0.75 kb
#include <stdio.h>

long n, v[512];
long long cost[512][512], sum, INF;

int main() {
	freopen("podm.in", "r", stdin);
	freopen("podm.out", "w", stdout);
	scanf("%ld", &n);
	scanf("%ld", &v[0]);
	for (int i = 1; i <= n; ++i) {
		scanf("%ld", &v[i]);
	}
	INF = 1000000000000000LL;
	for ( int i = 1; i <= n; ++i) cost[i][i] = 0;
	for ( int i = 1; i <  n; ++i) cost[i + 1][i] = 1LL * v[i - 1] * v[i] * v[i + 1];
	for (int i = 2; i < n; ++i) {
		for (int j = 1; j <= n - i; ++j) {
			cost[j + i][j] = INF;
			for (int z = j; z <= j + i - 1; ++z) {
				sum = (cost[z][j] + cost[i + j][z + 1] + v[j - 1] * v[z] * 1LL * v[i + j]);
				if (cost[i + j][j] > sum) {
					cost[i + j][j] = sum;
				}
			}
		}
	}
	printf("%lld", cost[n][1]);
	return 0;
}