Cod sursa(job #2765765)

Utilizator DragosC1Dragos DragosC1 Data 29 iulie 2021 20:45:40
Problema Dezastru Scor 90
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.04 kb
#include <fstream>
#include <iostream>
#include <iomanip>
using namespace std;
 
int n, k;
double a[26];
 
void read() {
    int i;
    ifstream f("dezastru.in");
    f >> n >> k;
    for (i = 1; i <= n; i++)
        f >> a[i];
    f.close();
}
 
double rez, C, prod = 1;
int comb[26];
 
void back(int niv) {
    for (int i = comb[niv - 1] + 1; i <= n - k + niv; i++) {
        comb[niv] = i;
        prod *= a[i];
        if (niv < k)
            back(niv + 1);
        else rez += prod * C;
        prod /= a[i];
    }
}
 
void solve() {
    int nr1, nr2, i;
    long long fact1, fact2;
    nr1 = k, nr2 = n - k;
    if (nr1 < nr2)
        swap(nr1, nr2);
    fact2 = 1;
    for (i = 1; i <= nr2; i++)
        fact2 *= i;
    fact1 = 1;
    for (i = n; i > nr1; i--)
        fact1 *= i;
    C = fact2 * 1.0 / fact1;
    back(1);
}
 
void output() {
    ofstream g("dezastru.out");
    g << setprecision(7) << fixed << rez;
    g.close();
}
 
int main() {
    read();
    solve();
    output();
    return 0;
}