Description

Input

Each test contains multiple test cases. The first line contains a single integer $t$ ($1 \leq t \leq 5000$) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer $n$ ($1 \leq n \leq 50$) — the number of integers written on the whiteboard is $2n$.

The second line of each test case contains $2n$ integers $a_1,a_2,\ldots,a_{2n}$ ($1 \leq a_i \leq 10^7$) — the numbers written on the whiteboard.

Output

For each test case, output the maximum final score that you can achieve.

3
1
2 3
2
1 1 2 1
3
1 1 1 1 1 1

2
2
3

Note

In the first test case, you can only make one move. You select $x=2$ and $y=3$, and your score will be $\min(x,y)=2$.

In the second test case, the following is a sequence of moves that achieves a final score of $2$:

• In the first move, select $x=1$ and $y=1$. Then, add $\min(x,y)=1$ to the score. After erasing $x$ and $y$, the integers left on the whiteboard are $1$ and $2$.
• In the second move, select $x=1$ and $y=2$. Then, add $\min(x,y)=1$ to the score. After removing $x$ and $y$, no more integers will be left on the whiteboard.

It can be proved that it is not possible to get a score greater than $2$.

In the third test case, you will perform the move thrice, adding $1$ to the score each time.