Cod sursa(job #648489)

Utilizator nandoLicker Nandor nando Data 13 decembrie 2011 16:44:18
Problema Parantezare optima de matrici Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 0.76 kb
#include <iostream>
#include <fstream>
using namespace std;

fstream fin("podm.in", ios::in);
fstream fout("podm.out", ios::out);

#define MAXN 550
#define INF 0x3f3f3f3f

int n;
int d[MAXN][MAXN], a[MAXN];

int dyn(int i, int j)
{
	if (d[i][j] != INF) {
		return d[i][j];
	}

	if (i == j) {
		return (d[i][j] = 0);
	}

	if (i + 1 == j) {
		return (d[i][j] = a[i - 1] * a[i] * a[i + 1]);
	}

	for (int k = i; k < j; ++k) {
		d[i][j] = min(d[i][j], dyn(i, k) + dyn(k + 1, j) + a[i - 1] * a[k] * a[j]);
	}

	return d[i][j];
}

int main()
{
	fin >> n;
	
	for (int i = 0; i <= n; ++i) {
		fin >> a[i];
		for (int j = 1; j <= n; ++j) {
			d[i][j] = INF;
		}
	}
	
	fout << dyn(1, n) << endl;
	
	fin.close();
	fout.close();
	return 0;
}