Score : $300$ points

Problem Statement

You are given an integer sequence of length $n$, $a_1, ..., a_n$. Let us consider performing the following $n$ operations on an empty sequence $b$.

The $i$-th operation is as follows:

1. Append $a_i$ to the end of $b$.
2. Reverse the order of the elements in $b$.

Find the sequence $b$ obtained after these $n$ operations.

Constraints

• $1 \leq n \leq 2\times 10^5$
• $0 \leq a_i \leq 10^9$
• $n$ and $a_i$ are integers.

Input

Input is given from Standard Input in the following format:

$n$

$a_1$ $a_2$ $...$ $a_n$

Output

Print $n$ integers in a line with spaces in between. The $i$-th integer should be $b_i$.

4
1 2 3 4

4 2 1 3

• After step 1 of the first operation, $b$ becomes: $1$.
• After step 2 of the first operation, $b$ becomes: $1$.
• After step 1 of the second operation, $b$ becomes: $1, 2$.
• After step 2 of the second operation, $b$ becomes: $2, 1$.
• After step 1 of the third operation, $b$ becomes: $2, 1, 3$.
• After step 2 of the third operation, $b$ becomes: $3, 1, 2$.
• After step 1 of the fourth operation, $b$ becomes: $3, 1, 2, 4$.
• After step 2 of the fourth operation, $b$ becomes: $4, 2, 1, 3$.

Thus, the answer is 4 2 1 3.

3
1 2 3

3 1 2

As shown above in Sample Output 1, $b$ becomes $3, 1, 2$ after step 2 of the third operation. Thus, the answer is 3 1 2.

1
1000000000

1000000000

6
0 6 7 6 7 0

0 6 6 0 7 7