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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Linq;
using System.Collections.Generic;
using System.Numerics;
using static System.Console;

class Solver {
    Scanner sc = new Scanner();

    public void Solve() {
        var N = sc.nextInt();
        var a = sc.ArrayInt(N).OrderBy(i => i).ToArray();

        BigInteger max = 0;
        var ans = "";
        for (int i = 1; i < N; i++) {
            for (int j = 0; j < N; j++) {
                if (i <= j) { continue; }

                var tmp = Combination(a[i], a[j]);
                if (tmp > max) {
                    max = tmp;
                    ans = a[i] + " " + a[j];
                }
            }
        }
        WriteLine(ans);
    }

    public static BigInteger Combination(int n, int r) {
        if (n - r < r) r = n - r;
        if (r == 0) return 1;
        if (r == 1) return n;

        int[] numerator = new int[r];
        int[] denominator = new int[r];

        for (int k = 0; k < r; k++) {
            numerator[k] = n - r + k + 1;
            denominator[k] = k + 1;
        }

        for (int p = 2; p <= r; p++) {
            int pivot = denominator[p - 1];
            if (pivot > 1) {
                int offset = (n - r) % p;
                for (int k = p - 1; k < r; k += p) {
                    numerator[k - offset] /= pivot;
                    denominator[k] /= pivot;
                }
            }
        }

        BigInteger result = BigInteger.One;
        for (int k = 0; k < r; k++) {
            if (numerator[k] > 1) result *= numerator[k];
        }

        return result;
    }

}



class Scanner {
    string[] s;
    int i;

    char[] cs = new char[] { ' ' };

    public Scanner() {
        s = new string[0];
        i = 0;
    }

    public string next() {
        if (i < s.Length) return s[i++];
        string st = Console.ReadLine();
        while (st == "") st = Console.ReadLine();
        s = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
        if (s.Length == 0) return next();
        i = 0;
        return s[i++];
    }

    public int nextInt() {


        return int.Parse(next());
    }
    public int[] ArrayInt(int N, int add = 0) {
        int[] Array = new int[N];
        for (int i = 0; i < N; i++) {
            Array[i] = nextInt() + add;
        }
        return Array;
    }

    public long nextLong() {
        return long.Parse(next());
    }

    public long[] ArrayLong(int N, long add = 0) {
        long[] Array = new long[N];
        for (int i = 0; i < N; i++) {
            Array[i] = nextLong() + add;
        }
        return Array;
    }

    public double nextDouble() {
        return double.Parse(next());
    }

    public double[] ArrayDouble(int N, double add = 0) {
        double[] Array = new double[N];
        for (int i = 0; i < N; i++) {
            Array[i] = nextDouble() + add;
        }
        return Array;
    }
}

class Program {
    static void Main(string[] args) {
        Solver s = new Solver();
        s.Solve();
    }
}