#000261

RSA Factorization

The positive integer n is given. It is known that n = p * q, where p and q are primes, p<=q and |q-k*p|<10^5 for some given positive integer k. You must find p and q.



InputEach line contains integers n (1 < n < 10^120) and k (0 < k < 10^8).


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


Input:35 1
121 1
1000730021 9


Output:5 * 7
11 * 11
10007 * 100003

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