2752. RSA Factorization

单点时限: 5.0 sec

内存限制: 256 MB

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

输入格式

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

输出格式

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

p<=q .

样例

Input
35 1
121 1
1000730021 9
Output
5 * 7
11 * 11
10007 * 100003

4 人解决,7 人已尝试。

27 份提交通过,共有 106 份提交。

8.0 EMB 奖励。

创建: 15 年,11 月前.

修改: 8 年,1 月前.

最后提交: 1 月,1 周前.

来源: Southeastern European Regional Programming Contest 2009

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