Cod sursa(job #2273074)

Utilizator florin_salamFlorin Salam florin_salam Data 30 octombrie 2018 23:15:09
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.71 kb
#include <fstream>
#include <algorithm>

using namespace std;

const int NMAX = 505;
const long long INF = (1LL << 63) - 1;
long long v[NMAX], dp[NMAX][NMAX], n;

int main()
{
	ifstream fin("podm.in");
	ofstream fout("podm.out");
	fin >> n;
	for (int i = 0;i <= n;++i)
		fin >> v[i];
	for (int i = 1;i <= n;++i)
		dp[i][i] = 0;
	for (int i = 1;i < n;++i)
		dp[i][i + 1] = v[i - 1] * v[i] * v[i + 1];
	for (int d = 2;d <= n - 1;++d)
		for (int i = 1;i <= n - d;++i)
		{
			int j = i + d;
			dp[i][j] = INF;
			for (int k = i;k <= j - 1;++k)
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k + 1][j] + v[i - 1] * v[k] * v[j]);
		}
	fout << dp[1][n] << "\n";
	fin.close();
	fout.close();
	return 0;
}