I would use a firework to announce, a wave to bid farewell, and a bow to say thanks: bygones are bygones; not only on the following path will I be walking leisurely and joyfully, but also the footsteps won't halt as time never leaves out flowing; for in the next year, we will meet again.

— Cocoly1990, Goodbye 2022

In his dream, Cocoly would go on a long holiday with no worries around him. So he would try out for many new things, such as... being a carpenter. To learn it well, Cocoly decides to become an apprentice of Master, but in front of him lies a hard task waiting for him to solve.

Cocoly is given an array $$$a_1, a_2,\ldots, a_n$$$. Master calls a set of integers $$$S$$$ stable if and only if, for any possible $$$u$$$, $$$v$$$, and $$$w$$$ from the set $$$S$$$ (note that $$$u$$$, $$$v$$$, and $$$w$$$ do not necessarily have to be pairwise distinct), sticks of length $$$u$$$, $$$v$$$, and $$$w$$$ can form a non-degenerate triangle$$$^{\text{∗}}$$$.

Cocoly is asked to partition the array $$$a$$$ into several (possibly, $$$1$$$ or $$$n$$$) non-empty continuous subsegments$$$^{\text{†}}$$$, such that: for each of the subsegments, the set containing all the elements in it is stable.

Master wants Cocoly to partition $$$a$$$ in at least two different$$$^{\text{‡}}$$$ ways. You have to help him determine whether it is possible.

$$$^{\text{∗}}$$$A triangle with side lengths $$$x$$$, $$$y$$$, and $$$z$$$ is called non-degenerate if and only if:

$$$x + y \gt z$$$,
$$$y + z \gt x$$$, and
$$$z + x \gt y$$$.

$$$^{\text{†}}$$$A sequence $$$b$$$ is a subsegment of a sequence $$$c$$$ if $$$b$$$ can be obtained from $$$c$$$ by the deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.

$$$^{\text{‡}}$$$Two partitions are considered different if and only if at least one of the following holds:

the numbers of continuous subsegments split in two partitions are different;
there is an integer $$$k$$$ such that the lengths of the $$$k$$$-th subsegment in two partitions are different.

Input

Each test contains multiple test cases. The first line of the input contains a single integer $$$t$$$ ($$$1 \leq t \leq 200$$$) — the number of test cases. The description of test cases follows.

The first line of each test case contains a single integer $$$n$$$ ($$$2 \leq n \leq 200$$$) — the length of the array $$$a$$$.

The second line contains $$$n$$$ integers $$$a_1,a_2,\ldots,a_n$$$ ($$$1 \leq a_i \leq 10^5$$$) — the elements in the array $$$a$$$.

Output

For each test case, print $$$\texttt{YES}$$$ if there are at least two ways to partition $$$a$$$, and $$$\texttt{NO}$$$ otherwise.

You can output the answer in any case (upper or lower). For example, the strings $$$\texttt{yEs}$$$, $$$\texttt{yes}$$$, $$$\texttt{Yes}$$$, and $$$\texttt{YES}$$$ will be recognized as positive responses.

Note

In the first test case, here are two possible partitions:

$$$[2, 3], [5, 7]$$$, since
- $$$[2, 3]$$$ is stable because sticks of lengths $$$(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3)$$$ respectively can all form non-degenerate triangles.
- $$$[5, 7]$$$ is stable because sticks of lengths $$$(5, 5, 5), (5, 5, 7), (5, 7, 7), (7, 7, 7)$$$ respectively can all form non-degenerate triangles.
and $$$[2], [3, 5], [7]$$$, since
- $$$[2]$$$ is stable because sticks of lengths $$$(2, 2, 2)$$$ respectively can form a non-degenerate triangle.
- $$$[3, 5]$$$ is stable because sticks of lengths $$$(3, 3, 3), (3, 3, 5), (3, 5, 5), (5, 5, 5)$$$ respectively can all form non-degenerate triangles.
- $$$[7]$$$ is stable because sticks of lengths $$$(7, 7, 7)$$$ respectively can form a non-degenerate triangle.

Note that some other partitions also satisfy the constraints, such as $$$[2], [3], [5], [7]$$$ and $$$[2], [3], [5, 7]$$$.

In the second test case, Cocoly can only partition each element as a single subsegment, resulting in $$$[115], [9], [2], [28]$$$. Since we only have one possible partition, the answer is $$$\texttt{NO}$$$.

In the third test case, please note that the partition $$$[8, 4], [1], [6], [2]$$$ does not satisfy the constraints, because $$$\{8, 4\}$$$ is not a stable set: sticks of lengths $$$4$$$, $$$4$$$, and $$$8$$$ cannot form a non-degenerate triangle.

Tender Carpenter

Examples