Cod sursa(job #1463576)

Utilizator CollermanAndrei Amariei Collerman Data 21 iulie 2015 11:55:16
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.71 kb
#include <fstream>
using namespace std;
ofstream fout("podm.out");
ifstream fin("podm.in");
const int NMAX = 505;
const long long INF = 10000000000000000LL;

int n;
long long mat[NMAX][NMAX], s[NMAX];

int main()
{
    fin >> n;
    for(int i=0; i<=n; i++) fin >> s[i];

    for(int i=1; i<=n; i++) mat[i][i] = 0;
    for(int i=1; i<=n-1; i++) mat[i][i+1] = s[i-1] * s[i] * s[i+1];

    for(int d=2; d<=n-1; d++) {
        for(int i=1; i<=n-d; i++) {
            int j = i + d;
            mat[i][j] = INF;
            for(int k=i; k<=j-1; k++)
                mat[i][j] = min(mat[i][j], mat[i][k] + mat[k+1][j] + s[i-1] * s[k] * s[j]);
        }
    }

    fout << mat[1][n] << '\n';
    return 0;
}