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 Rust (1.42.0) (judge verdict: Accepted)

use std::io::*;
use std::str::FromStr;
use std::cmp;
use std::collections::HashMap;
use std::collections::HashSet;
use std::char;
use std::cmp::{min, max};
use itertools::Itertools;
use std::ops::{Add, AddAssign};
use num_integer::Integer;
use std::collections::VecDeque;

fn read<T: FromStr>() -> T {
    let stdin = stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok().expect("failed to parse token")
}

fn read_tuple2<T: FromStr, S: FromStr>() -> (T, S) {
    let a = read();
    let b = read();
    (a, b)
}

fn read_tuple3<T: FromStr, S: FromStr, R: FromStr>() -> (T, S, R) {
    let a = read();
    let b = read();
    let c = read();
    (a, b, c)
}

fn lower_bound<T: Copy, F>(v: &Vec<T>, f: F) -> Option<usize> where
    F: Fn(T) -> bool
{
    let mut left = 0;
    let mut right = v.len() - 1;
    if !f(v[left]) {
        return None;
    }
    if f(v[right]) {
        return Some(right);
    }
    loop {
        if right - left == 1 {
            return Some(left);
        }
        let mid = (left + right) / 2;
        if f(v[mid]) {
            left = mid;
        } else {
            right = mid;
        }
    }
}

fn main() {
    let n: u64 = read();
    let a_list:Vec<u64> = (0..n).map(|_|read()).collect();
    let mut vq = VecDeque::with_capacity(n as usize);
    let mut push_front = true;
    for a in a_list {
        if push_front {
            vq.push_front(a);
        } else {
            vq.push_back(a);
        }
        push_front = !push_front;
    }
    let ans = if push_front {
        let a:Vec<String> = vq.iter().rev().map(|a|a.to_string()).collect();
        a.join(" ")
    } else {
        let a:Vec<String> = vq.iter().map(|a|a.to_string()).collect();
        a.join(" ")
    };
    println!("{}", ans);

}