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An array a is called beautiful if for every pair of numbers ai, aj, (i ≠ j), there exists an ak such that ak = ai * aj. Note that k can be equal to i or j too.
Find out whether the given array a is beautiful or not!
First line of the input contains an integer T denoting the number of test cases. T test cases follow.
First line of each test case contains an integer n denoting number of elements in a.
Next line contains n space separated integers denoting the array a.
For each test case, output a single line containing "yes" or "no" (without quotes) corresponding to the answer of the problem.
- 1 ≤ T ≤ 106
- 1 ≤ n ≤ 105
- Sum of n over all the test cases ≤ 106
- -109 ≤ ai ≤ 109
Input 3 2 0 1 2 1 2 2 5 6 Output: yes yes no
Test case 1. If you multiply 0 with 1, you get 0, we see that a0 = 0. So, the array is beautiful.
Test case 3. If you multiply 5 with 6, you get 30, there does not exist an k such that ak = 30. So, the array is not beautiful.
|Time Limit:||2 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.6|
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