Di-visible Confusion

Description:

Input:

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 10\,000$$$)  — the number of test cases.

The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 10^5$$$).

The second line of each test case contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).

It is guaranteed that the sum of $$$n$$$ over all test cases doesn't exceed $$$3 \cdot 10^5$$$.

Output:

For each test case, print "YES" (without quotes) if it is possible to erase the whole sequence using the aforementioned operation, print "NO" (without quotes) otherwise. You can print each letter in any register (upper or lower).

Sample Input:

5
3
1 2 3
1
2
2
7 7
10
384836991 191890310 576823355 782177068 404011431 818008580 954291757 160449218 155374934 840594328
8
6 69 696 69696 696969 6969696 69696969 696969696

Sample Output:

YES
NO
YES
YES
NO

Note:

In the first test case, YouKn0wWho can perform the following operations (the erased elements are underlined): $$$[1, \underline{2}, 3] \rightarrow [\underline{1}, 3] \rightarrow [\underline{3}] \rightarrow [\,].$$$

In the second test case, it is impossible to erase the sequence as $$$i$$$ can only be $$$1$$$, and when $$$i=1$$$, $$$a_1 = 2$$$ is divisible by $$$i + 1 = 2$$$.