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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

func main() {
	io := newIo()
	defer io.flush()

	n := io.nextInt()
	var fmHf, ltHf []int

	for i := range make([]struct{}, n) {
		a := io.nextInt()
		if n%2 != i%2 {
			fmHf = append(fmHf, a)
		} else {
			ltHf = append(ltHf, a)
		}
	}

	for i := len(fmHf) - 1; i >= 0; i-- {
		io.print(fmHf[i], " ")
	}
	for i, v := range ltHf {
		if i != 0 {
			io.print(" ")
		}
		io.print(v)
	}
	io.println()
}

type io struct {
	reader    *bufio.Reader
	writer    *bufio.Writer
	tokens    []string
	nextToken int
}

func newIo() *io {
	return &io{
		reader: bufio.NewReader(os.Stdin),
		writer: bufio.NewWriter(os.Stdout),
	}
}

func (io *io) flush() {
	_ = io.writer.Flush()
}

func (io *io) nextLine() string {
	var buffer []byte
	for {
		line, isPrefix, _ := io.reader.ReadLine()
		buffer = append(buffer, line...)
		if !isPrefix {
			break
		}
	}
	return string(buffer)
}

func (io *io) nextString() string {
	for io.nextToken >= len(io.tokens) {
		line := io.nextLine()
		io.tokens = strings.Fields(line)
		io.nextToken = 0
	}
	r := io.tokens[io.nextToken]
	io.nextToken++
	return r
}

func (io *io) nextInt() int {
	i, _ := strconv.Atoi(io.nextString())
	return i
}

func (io *io) print(a ...interface{}) {
	fmt.Fprint(io.writer, a...)
}

func (io *io) println(a ...interface{}) {
	fmt.Fprintln(io.writer, a...)
}

func (io *io) printf(format string, a ...interface{}) {
	fmt.Fprintf(io.writer, format, a...)
}