Divisors

Your task in this problem is to determine the number of divisors of ${n \choose k}$. Just for fun – or do you need any special reason for such a useful computation?

The input consists of several instances, at most $11\, 000$. Each instance consists of a single line containing two integers $n$ and $k$ ($0 \le k \le n \le 431$), separated by a single space.

For each instance, output a line containing exactly one integer – the number of distinct divisors of ${n \choose k}$. For the input instances, this number does not exceed $2^{63}-1$.

Sample Input 1 | Sample Output 1 |
---|---|

5 1 6 3 10 4 |
2 6 16 |