PROBLEM STATEMENT


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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, return an vector <int> containing 
exactly two elements.  The first element is p and the second element is q.  If n is not a strong 
prime power, return an empty vector <int>.


DEFINITION
Class:StrongPrimePower
Method:baseAndExponent
Parameters:string
Returns:vector <int>
Method signature:vector <int> baseAndExponent(string n)


CONSTRAINTS
-n will contain digits ('0' - '9') only.
-n will represent an integer between 2 and 10^18, inclusive.
-n will have no leading zeros.


EXAMPLES

0)
"27"

Returns: {3, 3 }

27 = 33. This is a strong prime power.

1)
"10"

Returns: { }

10 = 2 * 5. This is not a strong prime power.

2)
"7"

Returns: { }

A prime number is not a strong prime power.

3)
"1296"

Returns: { }



4)
"576460752303423488"

Returns: {2, 59 }



5)
"999999874000003969"

Returns: {999999937, 2 }



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