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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication2
{
    class Program
    {
        static void Main(string[] args)
        {
            int[] ret = new int[2];
            string s1 = Console.ReadLine();
            string s2 = Console.ReadLine();

            uint N = uint.Parse(s1);
            string[] ss = s2.Split(' ');

            int[] num = new int[N];

            for (int i = 0; i < N; i++)
            {
                num[i] = int.Parse(ss[i]);
            }

            Array.Sort(num);
            int max = num[N - 1];
            int cen = max / 2;
            int tmp = 0;

            for (int i = 0; i < N; i++)
            {
                if (num[i] > cen)
                {
                    if ( (cen - tmp) <= (tmp - num[i]) )
                    {
                        ret[1] = tmp;
                    }
                    else
                    {
                        ret[1] = num[i];
                    }
                    break;
                }
                tmp = num[i];
            }

            //uint cp = N / 2;

            ret[0] = max;
            Console.WriteLine(ret[0] + " " + ret[1]);
            Console.ReadLine();
        }
    }
}