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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <vector>


using namespace std;

int main(void)
{

	int n;
	vector<int> a;
	cin >> n;
	for (int i = 0; i < n; ++i)
	{
		int t;
		cin >> t;
		a.push_back(t);
	}

	vector<int> b;
	bool push = true;
	vector<int>::iterator it;

	for (int i = 0; i < n; ++i)
	{
		if (push == true)
			b.push_back(a[i]);
		else
		{
			it = b.begin();
			it = b.insert(it, a[i]);
		}
		push = !push;
		//reverse(begin(b), end(b));
	}

	if (push == true)
	{
		cout << b[0];
		for (int i = 1; i < n; ++i)
		{
			cout << " " << b[i];
		}
		cout << endl;
	}
	else
	{
		cout << b[n - 1];
		for (int i = n - 2; i >= 0; --i)
		{
			cout << " " << b[i];
		}
		cout << endl;
	}

	return 0;
}