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: Wrong Answer)

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

#define NEW(p,n){p=malloc((n)*sizeof(p[0]));if(p==NULL){printf("not enough memory\n");exit(1);};}
//pの型の変数n個の要素分のメモリを確保し、そのアドレスをpに代入するマクロ

#define MAX(a, b) ((a) > (b) ? (a) : (b))
#define MIN(a, b) ((a) < (b) ? (a) : (b))
#define SWAP(type, x, y) do { type tmp = x; x = y; y = tmp; } while (0)

#define MOD 1000000007 

typedef struct{
    int priority;
    double value;
}data;

//昇順
int asc(const void* a, const void* b){
    return *(int*)a-*(int*)b;
}

//配列sの中で、keyより初めて小さくなる添字を出力
int binary_search_left(int* array,int min, int max, int key){
    if(min<max){
        int mid=min+(max-min)/2;

        if(key<array[mid]) return binary_search_left(array,min,mid,key);
        else if(key>array[mid]) return binary_search_left(array,mid+1,max,key);
    }
    if(key>array[min]) return min;
    return min-1;
}

int main(void){
    int N;
    scanf("%d",&N);

    //A[0]~A[N-1]に格納する
    int* A;
    NEW(A,N);
    for(int i=0;i<N;i++){
        scanf("%d",&A[i]);
    }
    qsort(A,N,sizeof(int),asc);

    int index=binary_search_left(A,0,N-1,A[N-1]/2);
    printf("%d %d\n",A[N-1],A[index]);

    return 0;
}