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 Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program ABC_094_D_BinomialCoefficients
   implicit none
   integer(8) n, l, r, i
   integer(8), allocatable :: a(:)
   read(*, *) n
   allocate(a(1: n))
   read(*, *) a(1: n)
   l = maxval(a(1:n))
   r = a(1)
   do i = 1, n
       if( abs(dble(l/2) - dble(r)) >= abs(dble(l/2) - dble(a(i))) .and. a(i) /= l) then
	       r = a(i)
	   end if
   end do
   write(*, *) l, r 
end program ABC_094_D_BinomialCoefficients