Problem:
Score : 400 points

Problem Statement

Let {\rm comb}(n,r) be the number of ways to choose r objects from among n objects, disregarding order.
From n non-negative integers a_1, a_2, ..., a_n, select two numbers a_i > a_j so that {\rm comb}(a_i,a_j) is maximized.
If there are multiple pairs that maximize the value, any of them is accepted.

Constraints

2 \leq n \leq 10^5

0 \leq a_i \leq 10^9

a_1,a_2,...,a_n are pairwise distinct.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

n
a_1 a_2 ... a_n

Output

Print a_i and a_j that you selected, with a space in between.

Sample Input 1

5
6 9 4 2 11

Sample Output 1

11 6

\rm{comb}(a_i,a_j) for each possible selection is as follows:

\rm{comb}(4,2)=6

\rm{comb}(6,2)=15

\rm{comb}(6,4)=15

\rm{comb}(9,2)=36

\rm{comb}(9,4)=126

\rm{comb}(9,6)=84

\rm{comb}(11,2)=55

\rm{comb}(11,4)=330

\rm{comb}(11,6)=462

\rm{comb}(11,9)=55

Thus, we should print 11 and 6.

Sample Input 2

2
100 0

Sample Output 2

100 0

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

use proconio::fastout;
use whiteread::parse_line;

#[fastout]
fn main() {
    let _: usize = parse_line().unwrap();
    let mut a: Vec<usize> = parse_line().unwrap();
    a.sort();

    let n = a.last().unwrap();
    let mut min = n / 2;
    let mut min_idx = 0;
    for i in 0..(a.len() - 1) {
        let cand = if a[i] > n / 2 { n - a[i] } else { a[i] };
        if min > n / 2 - cand {
            min = n / 2 - cand;
            min_idx = i;
        }
    }
    println!("{} {}", a.last().unwrap(), a[min_idx]);
}