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Largest prime factor

Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 24649    Accepted Submission(s): 8291


Problem Description
Everybody knows any number can be combined by the prime number.
Now, your task is telling me what position of the largest prime factor.
The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc.
Specially, LPF(1) = 0.
 

Input
Each line will contain one integer n(0 < n < 1000000).
 

Output
Output the LPF(n).
 

Sample Input
1 2 3 4 5
 

Sample Output
0 1 2 1 3
 

Author
Wiskey
 

Source
 

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