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<string>
#include<algorithm>
#include <string.h>
#include <stdio.h>
#include <math.h>
#include <set>
#include <queue>
#include <stack>
#include <map>

using namespace std;
typedef int status;
typedef long long ll;
typedef unsigned long long ull;
const ull base = 343;
const int INF = int(1e9);
const ll INF1 = ll(1e15);
const int MAX = 200002;

int N;
ll a[MAX],b[MAX];

ll fa(ll x){
    return x<0?-x:x;
}

int main()
{
    cin>>N;
    for(int i = 1;i <= N;i++)
        cin>>a[i];
    sort(a+1,a+1+N);
    cout<<a[N]<<" ";
    ll t = a[N]/2;
    ll min1 = INF1;
    ll minid = -1;
    for(int i = 1;i <= N;i++){
        if(fa(a[i]-t)<=min1){
            min1 = fabs(a[i]-t);
            minid = i;
        }
    }
    cout<<a[minid]<<endl;
    return 0;
}