Problem:
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:

Append a_i to the end of b.

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.

Sample Input 1

4
1 2 3 4

Sample Output 1

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.

Sample Input 2

3
1 2 3

Sample Output 2

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.

Sample Input 3

1
1000000000

Sample Output 3

1000000000

Sample Input 4

6
0 6 7 6 7 0

Sample Output 4

0 6 6 0 7 7

Solution in PHP7 (7.0.15) (judge verdict: Accepted)

<?php
$n =trim(fgets(STDIN));
$a = explode(" ", trim(fgets(STDIN)));
$idx = $n;
$down = true;

for ($i = 1; $i <= $n; $i++) {
    $ans[] = $a[$idx - 1];
    if ($idx > 3 && $down) {
        $idx = $idx - 2;
    } elseif ($down) {
        $down = false;
        if ($idx == 3) {
            $next = 2;
        } else {
            $next = 3;
        }
        $idx = 1;
    } elseif (isset($next)) {
        $idx = $next;
        unset($next);
    } else {
        $idx = $idx + 2;
    }
}

echo implode(" ", $ans);