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Cod sursa(job #796151)
//Vasilut
#include<cstdio>
#define NN 30
using namespace std;
float bst[NN][NN],sir[NN],comb;
int n,k;
int main()
{
freopen("dezastru.in","r",stdin);
freopen("dezastru.out","w",stdout);
scanf("%d%d",&n,&k);
int i,j;
for(i=1;i<=n;i++)
{
scanf("%f",&sir[i]);
bst[i][0]=1;
}
bst[0][0]=1;
for(i=1;i<=n;i++)
{
for(j=1;j<=k;j++)
{
bst[i][j]=bst[i-1][j] + bst[i-1][j-1]*sir[i];
}
}
comb=1;
for(i=k+1;i<=n;i++)
comb=comb*i;
for(i=i;i<=n-k;i++)
comb=comb/i;
printf("%f",bst[n][k]/comb);
return 0;
}