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 <stack>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <string>
#include <vector>
#include <queue>
#include <map>
#include <set>
#include <tuple>
#include <algorithm>
#include <functional>
#include <cstring>
#include <limits.h>
#include <bitset>
#include <complex>
#include <cassert>
#define FOR(i,k,n)  for (int i=(k); i<(int)(n); ++i)
#define REP(i,n)    FOR(i,0,n)
#define FORIT(i,c)	for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i)
#define SZ(i) ((int)i.size())
#define GI(i) (scanf("%d",&i))
#define GLL(i) (scanf("%lld",&i))
#define GD(i)  (scanf("%lf",&i))
#define PB          push_back
#define MP          make_pair
#define MT          make_tuple
#define GET0(x)     (get<0>(x))
#define GET1(x)     (get<1>(x))
#define GET2(x)     (get<2>(x))
#define ALL(X)      (X).begin(),(X).end()
#define LLMAX       (1LL<<60)
#define LLMIN       -(1LL<<60)
#define IMAX        (1<<30)
#define IMIN        -(1<<30)
typedef long long LL;
using namespace std;

int N,A[100000];

int main(void){
    GI(N);
    REP(i,N)
        GI(A[i]);
    sort(A,A+N);
    int d=IMIN,ai=A[N-1],aj;
    REP(i,N-1){
        if(d < min(A[i], A[N-1]-A[i])){
            d = min(A[i], A[N-1]-A[i]);
            aj = A[i];
        }
    }
    printf("%d %d\n",ai,aj);
    return 0;
}