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 JavaScript (node.js v5.12) (judge verdict: Time Limit Exceeded)

"use strict";
function Main(input) {
    let cin = new Inputer(input);
    let N = cin.getInt(), A = cin.getIntArray(N);
    const P = function(n, r) {
        let ans = 1;
        for (let m = n; r > 0; m--, r--) ans *= m;
        return ans;
    }
    const C = function(n, r) {
        let ans = P(n, r);
        for (; r > 0; r--) ans /= r;
        return ans;
    }
    A.sort((a, b) => b - a);
    A.push(0);
    let a = A[0], h = a / 2;
    let max = 0, b1 = 0, b2 = 0;
    for (let n = 1; n < N; n++) {
        if (h <= A[n]) {
            b1 = A[n];
            b2 = A[n+1];
        }
    }
    if (C(a, b1) > C(a, b2)) 
        console.log(`${a} ${b1}`);
    else
        console.log(`${a} ${b2}`);
}
class Inputer{constructor(t){if(typeof t=='undefined')throw new Error('引数（stdin）を省略できません！');this.cnt=0,this.items=t.split(/\n|\s/)}getInt(){return this.items[this.cnt++]-0}getIntArray(t){if(typeof t=='undefined')throw new Error('引数（1以上）を省略できません！');let r=new Array(t);for(let e=0;e<t;e++)r[e]=this.getInt();return r}getStr(){return this.items[this.cnt++]}getStrArray(t){if(typeof t=='undefined')throw new Error('引数（1以上）を省略できません！');let r=new Array(t);for(let e=0;e<t;e++)r[e]=this.getStr();return r}}
if (typeof window == "undefined") Main(require("fs").readFileSync("/dev/stdin", "utf8"));