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>
using namespace std;
int n;
int a[200000];

int main()
{
    scanf("%d",&n);
    int maxNum=0;
    int idx1=0;
    int idx2=0;
    for (int i=1; i<=n; ++i)
    {
        scanf("%d",&a[i]);
        if (a[i]>maxNum)
        {
            maxNum=a[i];
            idx1=i;
        }
    }
    int maxDiff=0;
    for (int i=1; i<=n; ++i)
        if (min(a[i],maxNum-a[i])>maxDiff)
        {
            maxDiff=min(a[i],maxNum-a[i]);
            idx2=i;
        }
    cout<<a[idx1]<<' '<<a[idx2]<<endl;
    return 0;
}