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>
using namespace std;
using ll = long long;
#define MM = 1000000000;
#define mod = MM + 7;
#define INF (ll)1e18
#define pi acos(-1.0)
#define MAX 100005
#define NIL -1
#define rep(i, n) for(int i = 0; i < n; i++)
int dx[4] = {0, 1, 0, -1};
int dy[4] = {1, 0, -1, 0};
int main(){
    ll n; cin >> n;
    ll a[n];
    rep(i, n){
        cin >> a[i];
    }
    sort(a,a+n);
    ll ans1 = 0, ans2 = 0;
    if(n == 2){
        cout << max(a[0], a[1]) << " " << min(a[0],a[1]) << endl;
        return 0;
    }
    for(int i = n-1; i >= 0; i--){
        if(a[i] <= a[n-1]/2){
            ans2 = i;
            break;
        }
    }
    if(a[ans2] > a[n-1] - a[ans2+1]) cout << a[n-1] << " " << a[ans2] << endl;
    else cout << a[n-1] << " " << a[ans2+1] << endl;
}