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: Wrong Answer)

function main(input){
  var line1 = parse(input[0]);
  var n = line1[0];
  var a = parse(input[1]);
  var sorted = a.slice(0, a.length).sort((k, l) => k - l);
  var max = sorted[n-1];

  var r = sorted[0];
  for (var i = 1; i < n-1; i++){    
    var d1 = Math.floor(max / 2) - sorted[i];
    var d2 = Math.floor(max / 2) - r;
    if (Math.abs(d1) < Math.abs(d2)) {
      r = sorted[i];
    }
    if (d1 <= 0) {
      break;
    }
  }
  console.log(max + ' ' + r);
}

function parse(line){
  var ret = [];
  var arr = line.split(' ');
  for (var i = 0; i < arr.length; i++) {
    ret.push(parseInt(arr[i]));
  }
  return ret;
}

var
input = '';

process.stdin.resume();
process.stdin.setEncoding('utf8');
process.stdin.on('data', function(chunk) {
  input += chunk;
});
process.stdin.on('end', function() {
  input = input.split('\n');
  main(input);
});