Problem:
Score : 300 points

Problem Statement

When l is an odd number, the median of l numbers a_1, a_2, ..., a_l is the (\frac{l+1}{2})-th largest value among a_1, a_2, ..., a_l.

You are given N numbers X_1, X_2, ..., X_N, where N is an even number.
For each i = 1, 2, ..., N, let the median of X_1, X_2, ..., X_N excluding X_i, that is, the median of X_1, X_2, ..., X_{i-1}, X_{i+1}, ..., X_N be B_i.

Find B_i for each i = 1, 2, ..., N.

Constraints

2 \leq N \leq 200000

N is even.

1 \leq X_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
X_1 X_2 ... X_N

Output

Print N lines.
The i-th line should contain B_i.

Sample Input 1

4
2 4 4 3

Sample Output 1

4
3
3
4

Since the median of X_2, X_3, X_4 is 4, B_1 = 4.

Since the median of X_1, X_3, X_4 is 3, B_2 = 3.

Since the median of X_1, X_2, X_4 is 3, B_3 = 3.

Since the median of X_1, X_2, X_3 is 4, B_4 = 4.

Sample Input 2

2
1 2

Sample Output 2

2
1

Sample Input 3

6
5 5 4 4 3 3

Sample Output 3

4
4
4
4
4
4

Solution in Rust (1.42.0) (judge verdict: Accepted)

#![allow(dead_code,unused_variables,unused_imports)]
use proconio::{fastout, input};
use proconio::marker::Chars;
use std::cmp::max;

#[fastout]
fn main() {
    input!(n:usize,mut x:[usize;n]);

    let mut p = x.clone();
    p.sort();

    let r = p[n/2];
    let l = p[n/2 - 1];
    // println!("{} {}",l,r);
    let mut ans = vec![0;n];
    for i in 0..n{
        if x[i] <= l{
            ans[i] = r;
        }else{
            ans[i] = l;
        }
    }

    for e in ans{
        println!("{}",e);
    }

}//https://github.com/rust-lang-ja/ac-library-rs