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Task :: z-shortest
Mr. Little Z got tired of writing long problem text, so he decided to give you a problem with the shortest text possible:

For given positive integer n find two positive integers a and b such that a^b = n. If there are multiple solutions, give the one with the smallest value of a.


INPUT:
From the first line of the standard input read one integer k, (1 <= k <= 1000000), k represents the number of digits of n. From the second line read k characters that represent the number n. n will be greater than 1.


OUTPUT:
To the standard output, in one line, write two integers a and b


Input:
2
10

Output:
10 1


Input:
2
16

Output:
2 4


Input:
2
27

Output:
3 3
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Task info
Name:z-shortest
Time:0.5 sec.
Memory:16 MB
#Tests:10
AddedBy: admin
Task Ratings
Difficulty:

4.8 (25 votes)
Quality:

4.8 (21 votes)
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