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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.IO;
using System.Text;
using System.Collections;
using System.Collections.Generic;
using System.Text.RegularExpressions;

namespace AtCoder.ABC000
{
    class Program
    {
        static void Main()
        {
            int n = int.Parse(Console.ReadLine());
            var a = Console.ReadLine().Split(' ').Select(elem => int.Parse(elem));
            var aEven = a.Where((elem, idx) => idx % 2 != 0).ToArray();
            var aOdd = a.Where((elem, idx) => idx % 2 == 0).ToArray();
            var b = new int[n];
            if (n % 2 == 0)
            {
                Array.Reverse(aEven);
                Array.Copy(aEven, b, aEven.Length);
                Array.Copy(aOdd, 0, b, aEven.Length, aOdd.Length);
            }
            else
            {
                Array.Reverse(aOdd);
                Array.Copy(aOdd, b, aOdd.Length);
                Array.Copy(aEven, 0, b, aOdd.Length, aEven.Length);
            }
            Console.WriteLine(String.Join(" ", b));
        }
    }
}