Common Divisors

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Problem

You are given $n$ natural numbers. Write a program that finds all of their common divisors.

Input

The first line contains $n$, which is either 2 or 3. The second line contains the $n$ natural numbers whose common divisors you must find. Every number is at most $10^8$.

Output

Print the common divisors of the given $n$ numbers, one per line, in increasing order.