Description

The positive integer n is given. It is known that n = p * q, where p and q are primes, q <= p and |q - kp| <= 10⁵ for some given positive integer k. You must find p and q.

Input

Each line contains integers n (1 < n < 10¹²⁰) and k (0 < k < 10⁸).

Output

For each pair of numbers n and k print in separate line the product p * q such that q <= p.

35 1 
121 1 
1000730021 9

5 * 7 
11 * 11 
10007 * 100003

Source

Southeastern European Regional Programming Contest 2009