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 Java (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;

public class Main {
    public static void main(String[] args) throws Exception {
        BufferedReader br = new BufferedReader( new InputStreamReader(System.in));
               
        String lineN = br.readLine();
        String lineA = br.readLine();

        int N = Integer.parseInt(lineN);
        String[] strA = lineA.split(" ", 0);
        List<Integer> A = new ArrayList<>();
        for (String str : strA) {
            A.add(Integer.parseInt(str));
        }

        int center = A.size() / 2;
        int[] out = new int[A.size()];
        int j = 1;

        if (N % 2 == 0) {
            for (int i = 0; i < center; i++) {
                out[i + center] = A.get(j - 1);
                out[i + center - j] = A.get(j);
                j += 2;
            }
        } else {
            out[center] = A.get(0);
            for (int i = 0; i < center; i++) {
                out[center + (i + 1)] = A.get(j);
                out[center - (i + 1)] = A.get(j + 1);
                j += 2;
            }
        }

        int len = out.length;
        for (int i = 0; i < len; i++) {
            System.out.print(out[i]);
            if (i != len - 1) {
                System.out.print(" ");
            }
        }
    }
}