Cod sursa(job #2585234)

Utilizator Chr1styDescultu Cristian Chr1sty Data 18 martie 2020 20:32:54
Problema Parantezare optima de matrici Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.9 kb
#include <iostream>
#include <vector>
#include <stdlib.h>
#include <fstream>

using namespace std;

int main() {
	ifstream in("podm.in");
	int n;
	in >> n;
	std::vector <int> v;
	for (int i = 0; i <= n; ++i) {
		int x;
		cin >> x;
		v.push_back(x);
	}
	vector<vector<unsigned long long>> dp(n + 1, vector<unsigned long long>(n + 1));

	for (int i = 1; i <= n; ++i) {
		dp[i][i] = 0;
	}

	for (int i = 1; i < n; ++i) {
		dp[i][i + 1] = 1ULL * v[i - 1] * v[i] * v[i + 1];
	}

	for (int len = 2; len <= n; ++len) {
		for (int i = 1; i + len - 1 <= n; ++i) {
			int j = i + len - 1;
			for (int k = i; k < j; ++k) {
				if (dp[i][j] != 0)
					dp[i][j] = std::min(dp[i][j], dp[i][k] + dp[k + 1][j] + 1LL * v[i - 1] * v[k] * v[j]);
				else dp[i][j] = dp[i][j] = dp[i][k] + dp[k + 1][j] + 1LL * v[i - 1] * v[k] * v[j];
			}
		}
	}


	ofstream fout("podm.out");

	fout << dp[1][n];
	in.close();
	fout.close();
	return 0;

}