Alexandra and Prime Numbers

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)


Alexandra has a little brother. He is new to programming. One day he is solving the following problem: Given an positive integer N, judge whether N is prime.
The problem above is quite easy, so Alexandra gave him a new task: Given a positive integer N, find the minimal positive integer M, such that N/M is prime. If such M doesn't exist, output 0.
Help him!


There are multiple test cases (no more than 1,000). Each case contains only one positive integer N.
$N \leq 1,000,000,000$.
Number of cases with $N > 1,000,000$ is no more than 100.


For each case, output the requested M, or output 0 if no solution exists.

Sample Input

3 4 5 6

Sample Output

1 2 1 2




BestCoder Round #19