Cod sursa(job #2585236)

Utilizator Chr1styDescultu Cristian Chr1sty Data 18 martie 2020 20:37:02
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.13 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 + 1; i++) {
	
        int x;
	
        in >> x;
	
        v.push_back(x);
	
    }
	
    std::vector <std::vector<unsigned long long >> dp(n + 1,std::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][k] + dp[k + 1][j] + 1LL * v[i - 1] * v[k] * v[j];
	
                }
	
            }
	
        }
	
    }
	
    ofstream fout("podm.out");	
    fout<<dp[1][n]<<"\n";
    in.close();
	
    fout.close();	
}