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 static System.Console;

class Program
{
    static void Main()
    {
        var n = int.Parse(ReadLine());
        var a = ReadLine().Split().Select(int.Parse).OrderBy(x => x).ToArray();

        var h = n - 1;
        var l = 0;
        while (h - l > 0)
        {
            var m = (h + l + 1) / 2;
            if (a[m] < a[n - 1] / 2)
            {
                l = m;
            }
            else
            {
                h = m - 1;
            }
        }
        var ans = 0;
        for (int i = h - 4; i < 9; i++)
        {
            if ((uint)i < n)
            {
                var k = (double)a[i]/a[n - 1];
                var d = (double) a[ans]/a[n - 1];
                if (Math.Abs(0.5 - k) < Math.Abs(0.5 - d))
                {
                    ans = i;
                }
            }
        }
        WriteLine($"{a[n - 1]} {a[ans]}");
    }
}