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 Lua (5.3.2) (judge verdict: Wrong Answer)

N=io.read("n")
local a={}
for i=1,N do
	a[i]=io.read("n")
end
function c(n,m)
	local res=0
	if m<=n//2 then
		local s=1
		local k=1
		for i=n,n-m+1,-1 do
			s=s*i
		end
		for i=1,m do
			k=k*i
		end
		res=s//k
		else res=c(n,n-m)
	end
	return res
end
table.sort(a)
local a1=a[1]
local b1=a[2]
local total=c(a1,b1)
for i=1,N-1 do
	for j=i,N do
		if c(a[i],a[j])>total then
			total=c(a[i],a[j])
			a1=a[i]
			b1=a[j]
		end
	end
end
print(a1,b1)