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 Go (1.6) (judge verdict: Time Limit Exceeded)

package main

import (
	"bufio"
	"fmt"
	"io"
	"log"
	"os"

	"sort"
	"strconv"
)

func cond(m, n int) int {
	var nn int = 0
	if m/2 < n {
		nn = m - n
	} else {
		nn = n
	}

	var i int
	var x int = 1
	for i = 0; i < nn; i++ {
		x *= (m - i)
	}
	for i = 2; i <= nn; i++ {
		x /= i
	}

	return x
}

func solve(in io.Reader, out io.Writer) error {
	sc := bufio.NewScanner(in)
	sc.Split(bufio.ScanWords)
	n := nextInt(sc)

	a := make([]int, n)
	var i int
	for i = 0; i < n; i++ {
		a[i] = nextInt(sc)
	}

	sort.Ints(a)

	var maxI, maxJ int
	var maxV int
	for i := n - 1; i >= 0; i-- {
		nearJ := 0
		nearD := a[i] / 2

		for j := i - 1; j >= 0; j-- {
			d := abs(a[i]/2 - a[j])
			if nearD > d {
				nearJ = j
				nearD = d
			}
		}
		v := cond(a[i], a[nearJ])

		if v > maxV {
			maxI = i
			maxJ = nearJ
			maxV = v
		}
	}

	fmt.Fprintf(out, "%d %d\n", a[maxI], a[maxJ])

	return nil
}

func abs(a int) int {
	if a < 0 {
		return -a
	}

	return a
}

func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	i, _ := strconv.Atoi(sc.Text())
	return i
}

func main() {
	err := solve(os.Stdin, os.Stdout)
	if err != nil {
		log.Fatal(err)
	}
}