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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cassert>
#include <algorithm>
typedef long long lint;
const int N=1e5+5;
int n,val[N];

namespace utils{
	template <class T> inline void apn(T &x,const T y){x=x<y?x:y;}
	template <class T> inline void apx(T &x,const T y){x=x>y?x:y;}
	inline int nxi(){
		int x=0;
		char c;
		while(((c=getchar())>'9'||c<'0')&&c!='-');
		const bool f=c=='-'&&(c=getchar());
		while(x=x*10-48+c,(c=getchar())>='0'&&c<='9');
		return f?-x:x;
	}
}
using namespace utils;

int main(){
	n=nxi();
	for(int i=1; i<=n; ++i){
		val[i]=nxi();
	}
	std::sort(val+1,val+n+1);
	int tgt=val[n]>>1,*p=std::lower_bound(val+1,val+n,tgt);
	if(p==val+n) printf("%d %d\n",val[n],*--p);
	else printf("%d %d\n",val[n],*p-tgt<=tgt-*--p?*++p:*p);
	return 0;
}