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: Wrong Answer)

package main

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

var sc = bufio.NewScanner(os.Stdin)

func main() {
    
    // resize buffer
    buf := make([]byte, 1000)
    sc.Buffer(buf, 200000000000) //頭悪い

    // input
    N := inputLineAsNumArray(1)[0]
    nums, max := inputLineAsNumArrayWithMax(N)
    
    // combination
    med := int(max / 2)

    diff_idx := 0
    diff := max
    for i := 0; i < N; i++ {
        if int(math.Abs(float64(med - nums[i]))) < diff {
            diff_idx = i
            diff = int(math.Abs(float64(med - nums[i])))
        } 
    }
    fmt.Println(max, nums[diff_idx])
}

func inputLineAsNumArray(length int) []int {

    line := strings.Split(readLine(), " ")
    var nums []int
    for i := 0; i < length; i++ {
        num, _ := strconv.Atoi(line[i])
        nums = append(nums, num)
    }
    return nums
}

func inputLineAsNumArrayWithMax(length int) ([]int, int) {

    line := strings.Split(readLine(), " ")
    var nums []int
    max := 0
    for i := 0; i < length; i++ {
        num, _ := strconv.Atoi(line[i])
        nums = append(nums, num)
        if max < num {
            max = num
        }
    }
    return nums, max
}

func readLine() string {

	sc.Scan()
	return sc.Text()
}