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