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 Python (3.4.3) (judge verdict: Wrong Answer)

# nCr的にn//2に近いほうがいいに決まっている
# まあnCrは計算しなくていい

n = int(input())
arr = sorted(list(map(int, input().split())))


def ncr(n, r):
    # r = min(r, n - r)
    res = 1
    for i in range(1, r + 1):
        res = res * (n - i + 1) // i
    return res


def lower_bound(arr, t):
    l, r = 0, len(arr)
    while l < r:
        mid = (l + r) // 2
        if arr[mid] < t:
            l = mid + 1
        else:
            r = mid
    return l


def upper_bound(arr, t):
    l, r = 0, len(arr)
    while l < r:
        mid = (l + r) // 2
        if arr[mid] <= t:
            l = mid + 1
        else:
            r = mid
    return l


lb = lower_bound(arr, arr[-1] // 2)
lb_left = lb - 1
if ncr(arr[-1], lb) <= ncr(arr[-1], lb_left):
    print(arr[-1], arr[lb_left])
else:
    print(arr[-1], arr[lb])