A14063. Favorite Sequence

Polycarp has a favorite sequence $a[1 \dots n]$ consisting of $n$ integers. He wrote it out on the whiteboard as follows:

- he wrote the number $a_1$ to the left side (at the beginning of the whiteboard);
- he wrote the number $a_2$ to the right side (at the end of the whiteboard);
- then as far to the left as possible (but to the right from $a_1$ ), he wrote the number $a_3$ ;
- then as far to the right as possible (but to the left from $a_2$ ), he wrote the number $a_4$ ;
- Polycarp continued to act as well, until he wrote out the entire sequence on the whiteboard.

The beginning of the result looks like this (of course, if $n \ge 4$ ).For example, if $n=7$ and $a=[3, 1, 4, 1, 5, 9, 2]$ , then Polycarp will write a sequence on the whiteboard $[3, 4, 5, 2, 9, 1, 1]$ .

You saw the sequence written on the whiteboard and now you want to restore Polycarp's favorite sequence.

The first line contains a single positive integer $t$ ( $1 \le t \le 300$ ) — the number of test cases in the test. Then $t$ test cases follow.

The first line of each test case contains an integer $n$ ( $1 \le n \le 300$ ) — the length of the sequence written on the whiteboard.

The next line contains $n$ integers $b_1, b_2,\ldots, b_n$ ( $1 \le b_i \le 10^9$ ) — the sequence written on the whiteboard.

Output $t$ answers to the test cases. Each answer — is a sequence $a$ that Polycarp wrote out on the whiteboard.

In the first test case, the sequence $a$ matches the sequence from the statement. The whiteboard states after each step look like this:

$[3] \Rightarrow [3, 1] \Rightarrow [3, 4, 1] \Rightarrow [3, 4, 1, 1] \Rightarrow [3, 4, 5, 1, 1] \Rightarrow [3, 4, 5, 9, 1, 1] \Rightarrow [3, 4, 5, 2, 9, 1, 1]$ .