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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

Array.zeros = (n) => { return Array.apply(null, Array(n)).map( ()=>0 ) }
Array.prototype.max = function() { return Math.max.apply(null, this) }
Array.prototype.min = function() { return Math.min.apply(null, this) }
Array.prototype.non0length = function() { return this.reduce( (pre, current) => pre + (current != 0) ) }
var num = (val) => Array.isArray(val) ? val.map( (v)=>Number(v) ) : Number(val)
var print = console.log

if (require('os').type() != "Darwin") {
	Main(require("fs").readFileSync("/dev/stdin", "utf8"));
	return;
}

function Main(input) {

	var line = input.split("\n")
	var n = num( line[0] )
	var a = num( line[1].split(" ") )

	var b = []

	for(var i=0; i<n; i++) {
		b.push(a[i])
		if(++i < n)
			b.unshift(a[i])
	}

	var s = ""

	for(var i=0; i<n; i++) {
		s += b[i] + " "
	}

	print( s.slice(0, -1) )

}


Main(`4
1 2 3 4`)

Main(`3
1 2 3`)

Main(`1
1000000000`)

Main(`6
0 6 7 6 7 0`)