Given a positive integer . It is known that n = p \times q, where and are prime numbers, p \leq q, and |q - k \times p| \leq 10^5 for some given positive integer . You need to find and .
Each line contains two integers (1 < n < 10^{120}) and (0 < k < 10^8).
For each pair of numbers and , print on a separate line the values of and such that p \leq q.
Example 1