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50641 - Strong Prime Power

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Section problems

• 50582 - Number of digits
• 50583 - Max of 3 numbers
• 50585 - Inner Product
• 50587 - Modular Conversion
• 50633 - The prime factors
• 50650 - Prime numbers
• 50661 - nth Power of a Digit
• 50249 - Ladders
• 50641 - Strong Prime Power
• 50640 - Cubes
• 50412 - K numbers
• 50310 - Kinetic Energy
• 50316 - Population Bar Chart
• 50314 - Falling Distance
• 50392 - How much space
• 50330 - Find the average of n numbers
• 50297 - Divisible By Five

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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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