Problem: You have n sticks of the given lengths.

Your task is to choose exactly four of them in such a way that they can form a rectangle. No sticks can be cut to pieces, each side of the rectangle must be formed by a single stick. No stick can be chosen multiple times. It is guaranteed that it is always possible to choose such sticks.

Let S be the area of the rectangle and P be the perimeter of the rectangle. 

The chosen rectangle should have the value (P^2)/(S) minimal possible. The value is taken without any rounding.

If there are multiple answers, print any of them.

Each testcase contains several lists of sticks, for each of them you are required to solve the problem separately.

Input

The first line contains a single integer T (T ≥ 1) — the number of lists of sticks in the testcase.

Then 2T lines follow — lines (2i - 1) and 2i of them describe the i-th list. The first line of the pair contains a single integer n (4 ≤ n ≤ 10^6) — the number of sticks in the i-th list. The second line of the pair contains n integers a_1, a_2, ..., a_n (1 ≤ a_j ≤ 10^4) — lengths of the sticks in the i-th list.

It is guaranteed that for each list there exists a way to choose four sticks so that they form a rectangle.

The total number of sticks in all T lists doesn't exceed 10^6 in each testcase.

Output

Print T lines. The i-th line should contain the answer to the i-th list of the input. That is the lengths of the four sticks you choose from the i-th list, so that they form a rectangle and the value (P^2)/(S) of this rectangle is minimal possible. You can print these four lengths in arbitrary order.

If there are multiple answers, print any of them.

Example

Input

3
4
7 2 2 7
8
2 8 1 4 8 2 1 5
5
5 5 5 5 5


Output

2 7 7 2
2 2 1 1
5 5 5 5

Note

There is only one way to choose four sticks in the first list, they form a rectangle with sides 2 and 7, its area is 2 ⋅ 7 = 14, perimeter is 2(2 + 7) = 18. (18^2)/(14) ≈ 23.143.

The second list contains subsets of four sticks that can form rectangles with sides (1, 2), (2, 8) and (1, 8). Their values are (6^2)/(2) = 18, (20^2)/(16) = 25 and (18^2)/(8) = 40.5, respectively. The minimal one of them is the rectangle (1, 2).

You can choose any four of the 5 given sticks from the third list, they will form a square with side 5, which is still a rectangle with sides (5, 5).

Solution (in JAVA):

Solution:
//package main;

import java.io.*;
import java.util.*;
import java.math.*;

public final class Main {
    BufferedReader br;
    StringTokenizer stk;
    
    public static void main(String[] args) throws Exception {
        new Main().run();
    }
    
    {
        stk = null;
        br = new BufferedReader(new InputStreamReader(System.in));
    }
    
    boolean tests = true;
    
    long mod = 1000_000_000 + 7;
    StringBuilder res = new StringBuilder(1000005);
    
    void run() throws Exception {
        int t = tests ? ni() : 1;
        for(int i = 1; i <= t; i++) {
            go(i);
        }
        System.out.print(res.length() == 0 ? "" : res);
    }
    
    void go(int T) throws Exception {
        int n = ni();
        int[] a = new int[n];
        for(int i = 0; i < n; i++) {
            a[i] = ni();
        }
        shuffle(a);
        Arrays.sort(a);
        
        a = refine(a);
        n = a.length;
        
        List<Rectangle> rects = new ArrayList<>();
        for(int i = 3; i < n; i++) {
            if(a[i] == a[i - 1] && a[i - 2] == a[i - 3]) {
                long P = a[i - 3] + a[i - 2] + a[i - 1] + a[i];
                long S = a[i - 1] * a[i - 2];
                P *= P;
                rects.add(new Rectangle(P, S, a[i - 3], a[i - 2], a[i - 1], a[i]));
            }
        }
        
        Collections.sort(rects);
        
        res.append(rects.get(0)).append("\n");
    }
    
    int[] refine(int[] a) {
        HashMap<Integer, Integer> map = new HashMap<>();
        for(int num : a) {
            map.put(num, map.getOrDefault(num, 0) + 1);
        }
        int SIZE = 0, ptr = 0;
        for(int key : map.keySet()) {
            SIZE += map.get(key) / 2;
        }
        int[] refined = new int[2 * SIZE];
        for(int key : map.keySet()) {
            for(int i = 0; i < map.get(key) / 2 * 2; i++) {
                refined[ptr++] = key;
            }
        }
        shuffle(refined);
        Arrays.sort(refined);
        return refined;
    }
    
    class Rectangle implements Comparable<Rectangle> {
        long num, den, a, b, c, d;
        public Rectangle(long num, long den, long a, long b, long c, long d) {
            this.a = a;
            this.b = b;
            this.c = c;
            this.d = d;
            this.num = num;
            this.den = den;
        }
        @Override
        public int compareTo(Rectangle rect) {
            long cur = num * rect.den;
            long otr = den * rect.num;
            return Long.compare(cur, otr);
        }
        @Override
        public String toString() {
            return a + " " + b + " " + c + " " + d;
        }
    }
    
    //Reader & Writer
    String nt() throws Exception {
        if (stk == null || !stk.hasMoreTokens())
            stk = new StringTokenizer(br.readLine(), " ");
        return stk.nextToken();
    }

    char[] nc() throws Exception {
        return nt().toCharArray();
    }

    int ni() throws Exception {
        return Integer.parseInt(nt());
    }

    long nl() throws Exception {
        return Long.parseLong(nt());
    }
    
    double nd() throws Exception {
        return Double.parseDouble(nt());
    }
    
    //Some Misc methods
    int get(int l, int r, int[] a) {
        return l == 0 ? a[r] : a[r] - a[l - 1];
    }
    
    void shuffle(int[] a) {
        Random r = new Random();
        for(int i = 0; i < a.length; i++) {
            int idx = r.nextInt(a.length);
            int temp = a[i];
            a[i] = a[idx];
            a[idx] = temp;
        }
    }
    
    void reverse(long[] a) {
        for(int i = 0, j = a.length - 1; i < j; i++, j--) {
            long temp = a[i];
            a[i] = a[j];
            a[j] = temp;
        }
    }
    
    void print(int[] a) {
        System.out.println(Arrays.toString(a));
    }
    
    void print(long[] a) {
        System.out.println(Arrays.toString(a));
    }
}