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 Haskell (GHC 7.10.3) (judge verdict: Accepted)

import qualified Data.Sequence as SQ
import Data.Foldable (toList)
adder::[(Int,Int)]->SQ.Seq Int->SQ.Seq Int
adder []          s = s
adder ((i,x):xs)  s = if mod i 2 == 0 then adder xs ((SQ.<|) x s) else adder xs ((SQ.|>)s x)

solver::[Int]->[Int]
solver xs = let d = adder (zip [1..] xs) (SQ.empty) in
            let n = length xs in
            if mod n 2 == 0 then toList d else toList (SQ.reverse d)

main::IO()
main =do
  n<-getLine
  dat<-getLine
  let d=map read (words dat)
  listPrint (solver d)

listPrint::[Int]->IO()
listPrint [] = putStr "\n"
listPrint (x:xs) = do
  putStr ((show x)++" ")
  listPrint xs