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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.ArrayList;
import java.util.Collections;
import java.util.Scanner;

public class Main {

	@SuppressWarnings("rawtypes")
	public static void main(String[] args) {
		@SuppressWarnings("resource")
		Scanner sc = new Scanner(System.in);

		int n = Integer.parseInt(sc.next());
		ArrayList<Integer> a = new ArrayList<Integer>();

		for(int i = 0; i < n; i++) {
			a.add(Integer.parseInt(sc.next()));
		}
		Collections.sort(a);

		int ai = a.get(n - 1);

		// (ai/2)に最も近い数を探索する
		for(int i = 0;; i++) {
			if((double)a.get(i) >= (double)ai / 2.0) {
				if((double)a.get(i) - ((double)ai / 2.0) < ((double)ai / 2.0) - (double)a.get(i - 1)){
					System.out.println(ai + "," + a.get(i));
				}else {
					System.out.println(ai + "," + a.get(i - 1));
				}
				break;
			}
		}

	}

}