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Cod sursa(job #350264)
#include <cstdio>
#include <cstring>
#include <vector>
using namespace std;
#define pb push_back
#define NMAX 105
int st[NMAX],N,K;
double sum=0,v[NMAX];
void solve()
{
int i;
double t=1;
for (i=0;i<K;i++)
t *= v[st[i]];
// printf("%lf\n",t);
for (i=K+1;i<=N;i++)
t /= (double)i;
sum += t;
}
void back(int t)
{
int i;
if (t == K)
{
solve();
return;
}
for (i = (t == 0 ? 0 : st[t-1] + 1); i < N;i++)
st[t]=i,back(t+1);
}
int main()
{
int i;
freopen("dezastru.in", "rt", stdin);
freopen("dezastru.out", "wt", stdout);
scanf("%d %d",&N,&K);
for (i=0;i<N;i++)
scanf("%lf",&v[i]);
back(0);
printf("%.6lf\n",sum);
return 0;
}