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 contest_488;

import java.util.*;
import java.io.*;
//import contest_488.InputReader.SpaceCharFilterimport java.io.*;


public class q1
{
 	public class Node
 	{
 		int a;
 		int b;
 		public Node(int a,int b)
 		{
 			this.a=a;
 			this.b=b;
 		}
 	}
	
	
public static void main(String[] args)
{
    InputReader in=new InputReader(System.in);
   OutputWriter out=new OutputWriter(System.out);
   Scanner sc=new Scanner(System.in);
   int t=in.readInt();
   for(int i=0;i<t;i++)
   {
	   double min=Double.MAX_VALUE;
	   int n=in.readInt();
	   int k=0;
	   HashMap<Integer,Integer> h=new HashMap();
	   ArrayList<Integer> arr=new ArrayList();
	   for(int j=0;j<n;j++)
	   {
		  int num=in.readInt();
		  if(h.get(num)==null)
			  h.put(num, 1);
		  else
		  {
			 if( h.get(num)==1)
				 arr.add(num);
			 h.put(num, h.get(num)+1);
		  }
		  
	   }
	   
	   int x=0;
	   int y=0;
	   Collections.sort(arr,Collections.reverseOrder());
	   
	   for(int j=0;j<arr.size()-1;j++)
	   {
		   if(h.get(arr.get(j))>=4)
			  {
			       int num=arr.get(j);
				   System.out.println(num+" "+num+" "+num+" "+num);
				   k=1;
			  }
			  if(k==1)
				  break;
		  
			  double q=(double)((double)arr.get(j)/arr.get(j+1));
			  if(q<min)
			  {
				  min=q;
				  x=arr.get(j);
				  y=arr.get(j+1);
			  }
      	   
		   
	   }
	   if(k==1)
		   continue;
	   //System.out.print(arr.get(arr.size()-1));
	   if(h.get(arr.get(arr.size()-1))>=4)
	   {
		   //out.print(1);
		   x=arr.get(arr.size()-1);
		   y=arr.get(arr.size()-1);
	   }
	   System.out.print(x+" "+x+" "+y+" "+y);
	   System.out.println();
	   //for(int i=0;i<n;i++)
   }
   	out.flush();
   	out.close();


}
}
class InputReader {

    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;

    public InputReader(InputStream stream) {
        this.stream = stream;
    }

    public int read() {
        if (numChars == -1)
            throw new InputMismatchException();
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }

    public int readInt() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }

    public String readString() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isSpaceChar(c));
        return res.toString();
    }

    public boolean isSpaceChar(int c) {
        if (filter != null)
            return filter.isSpaceChar(c);
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    public String next() {
        return readString();
    }

    public interface SpaceCharFilter {
        public boolean isSpaceChar(int ch);
    }
}

class OutputWriter {
    private final PrintWriter writer;

    public OutputWriter(OutputStream outputStream) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
    }

    public OutputWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }

    public void print(Object... objects) {
        for (int i = 0; i < objects.length; i++) {
            if (i != 0)
                writer.print(' ');
            writer.print(objects[i]);
        }
    }

    public void printLine(Object... objects) {
        print(objects);
        writer.println();
    }

    public void close() {
        writer.close();
    }

    public void flush() {
        writer.flush();
    }

}

class IOUtils {

    public static int[] readIntArray(InputReader in, int size) {
        int[] array = new int[size];
        for (int i = 0; i < size; i++)
            array[i] = in.readInt();
        return array;
    }

}