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: Wrong Answer)

#include<iostream>
#include<functional>
#include<vector>
#include<vector>
#include<utility>
#include<cmath>
#include<string>
#include<algorithm>
using namespace std;
using ll =long long;
#define rep(i,n) for(ll i=0;i<(n);i++)
#define all(i) i.begin(),i.end()
template<typename T=ll>
using v =vector<T>;
template<typename T=ll>
using vv = vector<v<T>>;
template<typename T=ll,typename U=ll> using p = pair<T,U>;
const ll INF = (ll)1e9;
const ll MOD = INF+7;
template<typename T> T chmin(T &a,T b){a=min(a,b);}
template<typename T> T chmax(T &a,T b){a=max(a,b);}

void d(){
    ll n; cin >> n;
    auto a = v<>(n,0);
    rep(i,n) cin >> a[i];
    sort(a.begin(),a.end());
    auto mid = upper_bound(a.begin(),a.end(),(a[n-1]+1)/2);
    
    cout << a[n-1] << " " << *(mid-1) <<endl;

}

int main(){
    d();
    return 0;
}