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 (1.15.1) (judge verdict: Wrong Answer)

use std::io;
//use std::collections::HashMap;
//use std::collections::BinaryHeap;
//use std::collections::HashSet;
//use std::mem; // mem::swap(&mut x,&mut y);
use std::cmp; // cmp::max,cmp::min

// Rust memo: https://hackmd.io/i0lQY1OKTDW1t66TECOmiw?both

#[allow(dead_code)]
fn read_line() -> String{
    let mut s = String::new();
    io::stdin().read_line(&mut s).unwrap();
    s.trim().to_string()
}

#[allow(dead_code)]
fn read_charvec() -> Vec<char>{
    read_line().chars().collect()
}

#[allow(dead_code)]
fn read_ints() -> Vec<i64>{
    let s = read_line();
    let split:Vec<&str> = s.split(" ").collect();
    split.iter().map(|&x| x.to_string().parse().unwrap()).collect()
}

#[allow(dead_code)]
fn read_int() -> i64{
    read_ints()[0]
}

#[allow(dead_code)]
fn reverse(s: &String) -> String{
    s.chars().rev().collect::<String>()
}

#[allow(dead_code)]
fn read_lines(n:i64) -> Vec<String>{
    let mut xs = Vec::new();

    for _i in 0..n{
        xs.push(read_line());
    }

    xs
}

#[allow(dead_code)]
fn read_ints2(n:i64) -> Vec<i64>{
    read_lines(n).iter().map(|x| x.parse().unwrap()).collect()
}

#[allow(dead_code)]
fn arange(start:i64,end:i64,step:i64) -> Vec<i64>{
    let mut ret = Vec::new();
    let mut i = start;

    while i < end{
        ret.push(i);
        i += step;
    }

    ret
}

#[allow(dead_code)]
const DXS : [i64; 4] = [0,0,1,-1];
#[allow(dead_code)]
const DYS : [i64; 4]  = [1,-1,0,0];
#[allow(dead_code)]
const INF : i64 = 999999999;

////////////////////////////////////////////////

fn dist(maximum:&i64,t:&i64)->i64{
    if maximum % 2 == 1{
        let mid = (maximum+1)/2;
        cmp::max(t-mid,mid-t)
    }else{
        let mid0 = (maximum)/2;
        let mid1 = (maximum)/2+1;

        if *t <= mid0 {
            mid0-t
        }else{
            t-mid1
        }
    }
}

fn main(){
    let _ = read_int() as usize;
    let xs = read_ints();

    let maximum = xs.iter().fold(-1,|a,&b| cmp::max(a,b));
    let xs :Vec<i64> = xs.into_iter().filter(|&n|n!=maximum).collect();
    let middlest = xs.iter().fold(
        xs[0],
        |m,&o| if dist(&maximum,&m) > dist(&maximum,&o){
            o
        }else{
            m
        }
    );

    println!("{} {}",maximum,middlest);
}