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 (1.15.1) (judge verdict: Accepted)


fn main() {
    let n: usize = io::readln();
    let mut dir: isize = if n % 2 == 0 { -1 } else { 1 };

    let a: Vec<usize> =
        io::read_line().split_whitespace().map(|num| num.parse().unwrap()).collect();
    let mut b: Vec<usize> = (0..n).map(|_| 0).collect();
    let mut pos = n / 2;
    for i in 0..n {
        let num = a[i];
        b[pos] = num;
        pos = (pos as isize + (i + 1) as isize * dir) as usize;
        dir = dir * -1;
    }
    for i in 0..b.len() {
        print!("{}", b[i]);
        if i != b.len() - 1 {
            print!(" ");
        }
    }
}

pub mod io {
    use std::io;

    pub fn read_line() -> String {
        let mut s = String::new();
        io::stdin().read_line(&mut s).unwrap();
        s.trim_right().to_owned()
    }

    pub fn readln<T: Read>() -> T {
        let mut s = String::new();
        io::stdin().read_line(&mut s).unwrap();
        T::read(s.trim())
    }

    pub trait Read {
        fn read(s: &str) -> Self;
    }

    impl Read for String {
        fn read(s: &str) -> Self {
            s.to_string()
        }
    }

    impl<T: Read> Read for Vec<T> {
        fn read(s: &str) -> Self {
            s.split_whitespace().map(|w| T::read(w)).collect()
        }
    }

    macro_rules !def_read {
        ($t : ty) => {
            impl Read for $t {
                fn read(s : &str)->$t { s.parse().unwrap() }
            }
        }
    }

    macro_rules !def_read_tuple {
        ($($t : ident), *) => {
            impl<$($t : Read + Default), *> Read for ($($t), *) {
                fn read(s : &str)->Self {
                    let mut iter = s.split_whitespace();
                    ($($t::read(iter.next().unwrap())), *)
                }
            }
        };
    }

    def_read!(i32);
    def_read!(i64);
    def_read!(isize);
    def_read!(usize);
    def_read!(f32);
    def_read!(f64);
    def_read_tuple!(T0, T1);
    def_read_tuple!(T0, T1, T2);
    def_read_tuple!(T0, T1, T2, T3);
    def_read_tuple!(T0, T1, T2, T3, T4);
}