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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication
{
    class Program
    {
        static void Main()
        {
            new Solution().process();
        }
    }

    class Solution
    {
        string n;
        string[] input;
        
        public Solution()
        {
            n = Console.ReadLine();
            input = Console.ReadLine().Split(' ');
        }       
        public void process()
        {
            int i,m;
            List<string> myCollection = new List<string>();
            List<string> myCollection2 = new List<string>();

            myCollection.Add(input[0]);
            
            m = Convert.ToInt32(n);

            for (i = 1; i <= m-1; i++)
            {
                myCollection.Add(input[i]); 

                int a = myCollection.Count-1;

                myCollection2.Clear();
                for (int j = 0; j <= a ;j++ )
                {
                    myCollection2.Add(myCollection[a-j]);
                }

                myCollection.Clear();
                for (int b = 0; b <= myCollection2.Count - 1; b++)
                {
                    myCollection.Add(myCollection2[b]);
                }
            }
            string answer = string.Join(" ", myCollection.ToArray());

            Console.WriteLine(answer);
        }
    }
}