Y Practice Set - Prime Numbers

#### Start

2020-07-17 15:00 AKDT

## Y Practice Set - Prime Numbers

#### End

2020-07-24 13:00 AKDT
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# Problem DDivisors

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?

## Input

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.

## Output

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