Cod sursa(job #1556384)

Utilizator bciobanuBogdan Ciobanu bciobanu Data 24 decembrie 2015 18:08:01
Problema Parantezare optima de matrici Scor 80
Compilator cpp Status done
Runda Arhiva educationala Marime 0.95 kb
#include <fstream>
#include <numeric>
#include <algorithm>

using namespace std;

const int MAX_N = 500;
const long long INF = numeric_limits <long long> :: max();

int v[MAX_N + 1];
long long D[MAX_N + 1][MAX_N + 1];

long long memo(int st, int fn)
{
    if (D[st][fn] != INF)
        return D[st][fn];
    if (st == fn)
        return D[st][fn] = 0;
    if (fn == st + 1)
        return D[st][fn] = v[st - 1] * v[st] * v[st + 1];
    for (int k = st; k < fn; k++)
        D[st][fn] = min(memo(st, k) + memo(k + 1, fn) + 1LL * v[st - 1] * v[k] * v[fn], D[st][fn]);
    return D[st][fn];
}

int main(void) 
{
    ifstream in("podm.in");
    ofstream out("podm.out");
    in.tie(0);
    ios_base::sync_with_stdio(0);
    int N;

    in >> N;
    for (int i = 0; i <= N; i++)
        in >> v[i];
    in.close();

    for (int i = 0; i <= N; i++)
        for (int j = 0; j <= N; j++)
                D[i][j] = INF;

    out << memo(1, N) << '\n';
    out.close();
    return 0;
}