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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

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 in = new BufferedReader( new InputStreamReader( System.in ) );
        String input = in.readLine();

        List<String> inputList = new ArrayList<>();
        List<String> outputList = new ArrayList<>();

        while ( input != null ) {
            inputList.add( input );
            input = in.readLine();
        }

        for ( String a : inputList.get( 1 ).split( " " ) ) {
            outputList.add( a );
            outputList = reverse( outputList );
        }

        System.out.println( String.join( " ", outputList ) );

    }

    /**
     * @param inputList
     * @return
     */
    private static List<String> reverse( List<String> inputList ) {
        List<String> outputList = new ArrayList<>();

        for ( int i = inputList.size(); i > 0; i-- ) {
            outputList.add( inputList.get( i - 1 ) );
        }
        return outputList;

    }
}