Cod sursa(job #2839356)

Utilizator alextmAlexandru Toma alextm Data 25 ianuarie 2022 20:16:36
Problema Parantezare optima de matrici Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.64 kb
#include <bits/stdc++.h>
using namespace std;

int main() {
	ifstream cin("podm.in");
	ofstream cout("podm.out");
	
	int n;
	cin >> n;
	
	vector<int64_t> a(n + 1);
	for(int i = 0; i <= n; i++)
		cin >> a[i];
	
	// dp[i][j] = numarul minim de inmultiri din secventa [i, j]
	
	vector dp(n + 1, vector<int64_t>(n + 1));
	for(int len = 2; len <= n; len++)
		for(int i = 1, j = len; j <= n; i++, j++) {
			dp[i][j] = 1e18;
			for(int k = i; k < j; k++) // Despartim secventa [i, j] in secventele [i, k] si [k, j] + costul inmutirii lor
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k+1][j] + a[i-1] * a[k] * a[j]);
		}
		
	cout << dp[1][n] << "\n";
	
	return 0;
}