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-----
4
1 2 3 4

-----Sample Output-----
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.

见题面

见题面