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.*;

public class Main
{

    public void run( )
    {
        Scanner sc = new Scanner( System.in );
        int n = sc.nextInt( );
        int[] ar = new int[ n ];

        int max = Integer.MIN_VALUE;
        int maxId = -1;
        for ( int i = 0; i < n; i++ )
        {
            ar[ i ] = sc.nextInt( );
            if(max < ar[i])
            {
                max = ar[i];
                maxId = i;
            }
        }

        int opt = Integer.MIN_VALUE;
        int optId = -1;
        for ( int i = 0; i < n; i++ )
        {
            if(i == maxId) continue;
            
            int temp = Math.min( ar[ i ], max - ar[ i ] );
            if ( temp > opt )
            {
                opt = temp;
                optId = i;
            }
        }

        System.out.println( ar[ optId ] + " " + max );
    }

    public static void main( String[] args )
    {
        new Main( ).run( );
    }
}