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: Accepted)

package main

import (
  "bufio"
  "fmt"
  "math"
  "os"
  "sort"
  "strconv"
  "strings"
)

const size = 1000000
var reader = bufio.NewReaderSize(os.Stdin,size)
func NextLine() string {
  var line,buffer []byte
  var isPrefix bool = true
  var err error
  for ;isPrefix; {
    line,isPrefix,err = reader.ReadLine()
    if err != nil { panic(err) }
    buffer = append(buffer,line...)
  }
  return string(buffer)
}
func NextInt() int {
  var n int
  n,_ = strconv.Atoi(NextLine())
  return n
}
func NextIntArray() []int {
  var s []string = strings.Split(NextLine()," ")
  var n int = len(s)
  var a []int = make([]int,n)
  for i:=0;i<n;i++ {
    a[i],_ = strconv.Atoi(s[i])
  }
  return a
}

func main() {
  var n int = NextInt()
  var a []int = NextIntArray()
  var idx int
  var mid,min float64
  sort.Sort(sort.Reverse(sort.IntSlice(a)))
  mid = 0.5*float64(a[0])
  min = float64(a[0])
  idx = 1
  for i:=1;i<n;i++ {
    t := math.Abs(float64(a[i])-mid)
    if min > t {
      min = t
      idx = i
    }
  }
  fmt.Println(a[0],a[idx])
}