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 <bits/stdc++.h>
#define SORT(x) sort((x).begin(),(x).end())
#define ALL(x) (x).begin(),(x).end()
#define rep(i, n) for(int i = 0; i < n; i++)
#define reps(i, m, n) for(int i = m; i < n; i++)
#define repr(i, m, n) for(int i = m; i >= n; i--)
template<class T>bool maxi(T &a,const T &b){if(a<b){ a=b; return 1;} return 0;}
template<class T>bool mini(T &a,const T &b){if(b<a){ a=b; return 1;} return 0;}
#define y0 y3487465 //j0
#define y1 y1347829 //j1
#define INF2 4000000000000000037
#define INF 1000000007
#define PI (acos(-1))
#define MOD 1000000007
using namespace std;
typedef long long ll;

void Main(){


  int N; cin>>N;
  vector<int> a;
  rep(i,N){
    int aa; cin>>aa;
    a.emplace_back(aa);
  }
  SORT(a);
  int amax=a[N-1];
  double amaxd=amax;
  int amedi=0;
  rep(i,N-1){
    if(abs(a[i]-amaxd/2) < abs(a[amedi]-amaxd/2 )) amedi=i;
  }

  cout<< amax <<" "<<a[amedi]<<"\n";
}

//-----------------------------------
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(15);
  Main();
}
//-----------------------------------