Cod sursa(job #2976611)

Utilizator SergetecLefter Sergiu Sergetec Data 9 februarie 2023 19:10:54
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.71 kb
/*
  Lefter Sergiu - 09/02/2023
*/
#include <fstream>

using namespace std;

ifstream in("podm.in");
ofstream out("podm.out");

const int N = 5000;
const long long INF = 9223372036854775807;

int n, dim[N+2];
long long dp[N+1][N+1];

int main() {
    in >> n;
    for (int i = 1; i <= n + 1; ++i) {
        in >> dim[i];
    }
    for (int i = n - 1; i >= 1; --i) {
        for (int j = i + 1; j <= n; ++j) {
            dp[i][j] = INF;
            for (int k = i; k < j; ++k) {
                dp[i][j] = min(dp[i][j], dp[i][k] + dp[k+1][j] + (long long)dim[i] * dim[k+1] * dim[j+1]);
            }
        }
    }
    out << dp[1][n] << '\n';
    in.close();
    out.close();
    return 0;
}