Cod sursa(job #3259761)

Utilizator Mihai_OctMihai Octavian Mihai_Oct Data 27 noiembrie 2024 19:13:50
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.79 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("podm.in");
ofstream fout("podm.out");
const long long inf = 1e16 + 2;
long long n, i, j, a[507], d[507][507];

int main() {
    fin >> n;
    for(i = 1; i <= n + 1; i++) fin >> a[i];
    for(i = 1; i <= n; i++) {
        for(j = 1; j <= n; j++) {
            d[i][j] = inf;
            if(i == j) d[i][j] = 0;
        }
    }

    for(i = 1; i <= n - 1; i++) {
        d[i][i + 1] = a[i] * a[i + 1] * a[i + 2];
    }

    for(int l = 2; l <= n; l++) {
        for(int i = 1; i <= n - l; i++) {
            for(int k = i; k <= i + l; k++) {
                d[i][i + l] = min(d[i][i + l], d[i][k] + d[k + 1][i + l] + a[i] * a[k + 1] * a[i + l + 1]);
            }
        }
    }

    fout << d[1][n];

    return 0;
}