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TopCoder-8. 50641 - Strong Prime Power

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• TopCoder-8. 50641 - Strong Pr...
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• VologdaInterCity-E. 50624 - Simple ...
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• VologdaInterUni-C. 50629 - Minuses
• 50602 - Birthday Ivanova
• 50603 - Rider
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• 50622 - Sequence

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Beta

A number which can be represented as pq, where p is a prime number and q is an integer greater than 0, is called a prime power. If q is larger than 1, we call the number a strong prime power. You are given an integer n. If n is a strong prime power, find p and q for it.

Input
The single line contains one integer n (2 ≤ n ≤ 1018). n will contain digits only ('0'-'9') without any leading zeros.
Output
If n is a strong prime power, output p and q in the single line separated by one space. If n is not a strong prime power, output 0 instead.

Input 1 Input 2 Input 3 Input 4
27
10
7
576460752303423488
Output 1 Output 2 Output 3 Output 4
3 3
0
0
2 59

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