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Cod sursa(job #491616)
#include <stdio.h>
int n,k,a[26];
long long c=1;
double p[26],pos=1,s;
inline void back(int x)
{
int i;
if (x==k+1)
{
s+=pos;
return;
}
for (i=a[x-1]+1;i<=n-k+x;++i)
{
pos*=p[i];a[x]=i;
back(x+1);
pos/=p[i];
}
}
int main()
{
int i;
freopen("dezastru.in","r",stdin);
freopen("dezastru.out","w",stdout);
scanf("%d%d",&n,&k);
for (i=1;i<=n;++i) scanf("%lf",&p[i]);
back(1);
if (n>2*k) k=n-k;
for (i=k+1;i<=n;++i) c*=i;
for (i=1;i<=n-k;++i) c/=i;
double x=(double)(s/c);
printf("%.6lf",x);
return 0;
}