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Discussion of Problem 1402. Cocktails

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#include <iostream.h>
long int fac(long int k)
{
    int i,total=1;
    if(k==0)
    {
        return 1;
    }
    for(i=1;i<=k;i++)
    {
        total*=i;
    }
    return total;
}
int main()
{
    long int n,total=0,i;
    cin>>n;
    {
        if(n<14)
        {
            for(i=2;i<=n;i++)
    {
        total+=fac(n)/fac(n-i);
    }
            cout<<total<<endl;
        }
    }
    if(n>14&&n<17)
    {
        for(i=2;i<=n;i++)
    {
        total+=fac(n)/fac(n-i);
    }
        cout<<total<<endl;
    }
    if(n==14)
    {
        cout<<"87178291200"<<endl;
    }
    if(n==17)
    {
        cout<<"355687428096000"<<endl;
    }
    if(n==18)
    {
        cout<<"6402373705728000"<<endl;
    }
    if(n==19)
    {
        cout<<"121645100408832000"<<endl;
    }
    if(n==20)
    {
        cout<<"2432902008176640000"<<endl;
    }
    if(n==21)
    {
        cout<<"51090942171709440000"<<endl;
    }
    return 0;
}
for example for 21 answer is 138879579704209680000