P26180 [AtCoder] Binomial Coefficients
普及
题目描述

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.

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.

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.

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

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
5 6 9 4 2 11
样例输出
11 6