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 Ruby (2.7.1) (judge verdict: Accepted)

n = gets.to_i
a = gets.chomp.split(" ").map(&:to_i).sort
i = a.max
j = a.bsearch_index{|x| x >= i/2}
if j == 0
  j = a[0]
elsif i % 2 == 0
  if a[j] - i/2 < i/2 - a[j-1]
    j = a[j]
  else
    j = a[j-1]
  end
elsif i % 2 == 1
  if a[j] - i/2 - 1 < i/2 - a[j-1]
    j = a[j]
  else
    j = a[j-1]
  end
end

puts "#{i} #{j}"