题目描述
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-----
5
6 9 4 2 11
-----Sample Output-----
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.
输入格式
见题面
输出格式
见题面