Description: Alexander is a well-known programmer. Today he decided to finally go out and play football, but with the first hit he left a dent on the new Rolls-Royce of the wealthy businessman Big Vova. Vladimir has recently opened a store on the popular online marketplace "Zmey-Gorynych", and offers Alex a job: if he shows his programming skills by solving a task, he'll work as a cybersecurity specialist. Otherwise, he'll be delivering some doubtful products for the next two years. You're given $$$n$$$ positive integers $$$a_1, a_2, \dots, a_n$$$. Using each of them exactly at once, you're to make such sequence $$$b_1, b_2, \dots, b_n$$$ that sequence $$$c_1, c_2, \dots, c_n$$$ is lexicographically maximal, where $$$c_i=GCD(b_1,\dots,b_i)$$$ - the greatest common divisor of the first $$$i$$$ elements of $$$b$$$. Alexander is really afraid of the conditions of this simple task, so he asks you to solve it. A sequence $$$a$$$ is lexicographically smaller than a sequence $$$b$$$ if and only if one of the following holds: - $$$a$$$ is a prefix of $$$b$$$, but $$$a \ne b$$$; - in the first position where $$$a$$$ and $$$b$$$ differ, the sequence $$$a$$$ has a smaller element than the corresponding element in $$$b$$$. Input Format: Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 10^3$$$). Description of the test cases follows. The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 10^3$$$) — the length of the sequence $$$a$$$. The second line of each test case contains $$$n$$$ integers $$$a_1,\dots,a_n$$$ ($$$1 \le a_i \le 10^3$$$) — the sequence $$$a$$$. It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$10^3$$$. Output Format: For each test case output the answer in a single line — the desired sequence $$$b$$$. If there are multiple answers, print any. Note: In the first test case of the example, there are only two possible permutations $$$b$$$ — $$$[2, 5]$$$ and $$$[5, 2]$$$: for the first one $$$c=[2, 1]$$$, for the second one $$$c=[5, 1]$$$. In the third test case of the example, number $$$9$$$ should be the first in $$$b$$$, and $$$GCD(9, 3)=3$$$, $$$GCD(9, 8)=1$$$, so the second number of $$$b$$$ should be $$$3$$$. In the seventh test case of the example, first four numbers pairwise have a common divisor (a power of two), but none of them can be the first in the optimal permutation $$$b$$$.