Cod sursa(job #1378506)

Utilizator oprea1si2si3Oprea Sebastian oprea1si2si3 Data 6 martie 2015 12:40:22
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.85 kb
#include <fstream>
using namespace std;

const long long kInf = (1LL << 60);
const int kNMax = 505;
int n;
long long dp[kNMax][kNMax], v[kNMax];


void Citire() {
    ifstream in("podm.in");
    in >> n;
    for (int i = 0; i <= n; ++i)
        in >> v[i];
    in.close();
}

void Solve() {
    for (int i = 1; i <= n - 1; ++i)
        dp[i][i + 1] = v[i - 1] * v[i] * v[i + 1];
    for (int i = 2; i <= n - 1; ++i)
        for (int j = 1; j <= n - i; ++j) {
            int c = i + j;
            dp[j][c] = kInf;
            for (int k = j; k <= c - 1; ++k)
                dp[j][c] = min(dp[j][c], dp[j][k] + dp[k + 1][c] + v[j - 1] * v[k] * v[c]);
        }
}

void Afisare() {
    ofstream out ("podm.out");
    out << dp[1][n] << '\n';
    out.close();
}

int main() {
    Citire();
    Solve();
    Afisare();
    return 0;
}