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 (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

#define LINE_BUF_SIZE 256

int main(){

    int i,j,k;
    long int N;
    char line[LINE_BUF_SIZE];

    fgets(line,sizeof(line),stdin);
    sscanf(line,"%ld", &N);

    long long int *a = malloc(sizeof(long long int)*(N+1));
    long long int *a_hold = malloc(sizeof(long long int)*(N+1));

    for(i=1;i<=N;i++){
        scanf("%lld ",&a[i]);
        a_hold[i] = a[i];
    }

    long long int max = 0;
    long long int j_hold = 0;
    
    for(j=N;j>=1;j--){
            if(max <= a[j]){
                max = a[j];
                j_hold = j;
            }
    }

    max = a[j_hold];

    int judge = 0;
    i = 0;

    while(judge == 0){
        for(j=N;j>=1;j--){
            if(max/2+i == a[j]){
                j_hold = j;
                judge = 1;
                break;
            }
        }
    }

    printf("%d\n",max);
    printf("%d",a[j_hold]);

    return 0;

}