Cod sursa(job #1049073)

Utilizator kitzTimofte Bogdan kitz Data 6 decembrie 2013 20:57:35
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.53 kb
/*#include <iostream>
#include <fstream>
using namespace std;

const char iname[] = "podm.in";
const char oname[] = "podm.out";

#define MAXN  505
#define Min(a, b) ((a) < (b) ? (a) : (b))
#define FOR(i, a, b)  for (int i = (a); i <= (b); ++ i)
#define INF   100000000000000000LL

typedef long long i64;

i64 bst[MAXN][MAXN], d[MAXN];   int n;

int main(void)
{
    ifstream in(iname);
    in >> n;
    FOR (i, 0, n)  in >> d[i];
    in.close();

    ofstream out(oname);
    FOR (i, 1, n)  bst[i][i] = 0;
    FOR (i, 1, n - 1)  bst[i][i + 1] = d[i - 1] * d[i] * d[i + 1];
    FOR (w, 2, n - 1) FOR (i, 1, n - w) {
        int j = i + w;
        bst[i][j] = INF;
        FOR (k, i, j - 1)
            bst[i][j] = Min(bst[i][j], bst[i][k] + bst[k + 1][j] + d[i - 1] * d[k] * d[j]);
    }
    out << bst[1][n]; */
#include <fstream>
#include <iostream>
using namespace std;
ifstream f("podm.in");
ofstream g("podm.out");
int n;
long long d[505], cost[505][505];
int main()
{
    f >> n;
    for(int  i = 0 ; i <= n; i ++)
        f >> d[i];
    f.close();
    long long aux = 0;
    for(int i = 1; i <= n; i++) cost[i][i] = 0;

    //for(int i = 1; i <= n-1; i++) cost[i][i + 1] = d[i - 1] * d[i] * d[i + 1];

    for(int j = 2; j <= n; j++){
        for(int i = j-1; i >=1; i--){
            long long m = 0xfffffffffffff;
            for(int k = i; k < j; k++){
                aux = cost[i][k] + cost[k+1][j]+d[i-1]*d[k]*d[j];
                if(aux < m) m = aux;
            }
            cost[i][j] = m;
        }
    }
    g << cost[1][n] <<"\n";
    return 0;
}