Cod sursa(job #3303252)

Utilizator robyfFiru Robert robyf Data 14 iulie 2025 21:33:20
Problema Dezastru Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 0.87 kb
#include <bits/stdc++.h>
using namespace std;

ifstream fin("dezastru.in");
ofstream fout("dezastru.out");

int n, k;
long double v[30];
int p[30];

long double inv = 1.0;
long double s = 0.0;

void bk(int idx)
{
    if(idx==k+1)
    {
        long double rez = 1.0;
        for(int i=1; i<=k; i++)
        {
            rez *= v[p[i]];
        }
        s += rez;
    }
    else
    {
        for(int i=p[idx-1]+1; i<=n-k+idx; i++)
        {
            p[idx] = i;
            bk(idx+1);
            p[idx] = 0;
        }
    }
}

int main()
{
    ios_base::sync_with_stdio(false);

    fin >> n >> k;

    for(int i=1; i<=n; i++)
    {
        fin >> v[i];
    }

    for(int i=n-k+1; i<=n; i++)
    {
        inv *= (long double)(i);
    }
    for(int i=1; i<=k; i++)
    {
        inv /= (long double)(i);
    }

    bk(1);

    fout << fixed << setprecision(6) << s/inv;

    return 0;
}