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:
import java.io.BufferedInputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Collections;

public class C2 {

	static int N;
	static int list[];
	public static void main(String[] args) {
		JS in = new JS();
		PrintWriter out = new PrintWriter(System.out);
		int T = in.nextInt();
		int cnt[] = new int[10001];
		int upd[] = new int[10001];
		boolean done[] = new boolean[10001];
		int doneUpd[] = new int[10001];
		for(int runs = 1; runs <= T; runs++) {
			N = in.nextInt();
			int ar[] = new int[N];
			ArrayList<Integer> list1 = new ArrayList<Integer>();
			for(int i = 0; i < N; i++) {
				ar[i] = in.nextInt();
				if(upd[ar[i]] != runs) {
					upd[ar[i]] = runs;
					cnt[ar[i]] = 0;
				}
				cnt[ar[i]]++;
				if(cnt[ar[i]] == 2) {
					list1.add(ar[i]);
				}
			}
			Collections.sort(list1);
			list = new int[list1.size()];
			for(int i = 0; i < list1.size(); i++) {
				list[i] = list1.get(i);
			}
			//System.out.println(list.toString());
			long bNum = -1;
			long bDen = 1;
			int v1 = -1;
			int v2 = -1;
			for(int i = 0; i < N; i++) {
				if(cnt[ar[i]] < 2 || (done[ar[i]] && doneUpd[ar[i]] == runs)) continue;
				done[ar[i]]=true;
				doneUpd[ar[i]] = runs;
				if(cnt[ar[i]] >= 4) {
					//match with self
					long p = ar[i]*4;
					p = p*p;
					long s = ar[i]*ar[i];
					if(bNum == -1 || p*bDen < s*bNum) {
						bNum = p;
						bDen = s;
						v1 = ar[i];
						v2 = ar[i];
					}
				}
				if(cnt[ar[i]] >= 2) {
					//ternary search
					int id = tern(0, list.length-1, ar[i]);
					int s2 = list[id];
					if(s2 != ar[i]) {
						long p = ar[i]*2 + s2*2;
						p = p*p;
						long s = ar[i]*s2;
						if(bNum == -1 || p*bDen < s*bNum) {
							bNum = p;
							bDen = s;
							v1 = ar[i];
							v2 = s2;
						}
					}
					else {
						//try id-1 and id+1
						if(id > 0) {
							s2 = list[id-1];
							long p = ar[i]*2 + s2*2;
							p = p*p;
							long s = ar[i]*s2;
							if(bNum == -1 || p*bDen < s*bNum) {
								bNum = p;
								bDen = s;
								v1 = ar[i];
								v2 = s2;
							}
						}
						if(id < list.length-1) {
							s2 = list[id+1];
							long p = ar[i]*2 + s2*2;
							p = p*p;
							long s = ar[i]*s2;
							if(bNum == -1 || p*bDen < s*bNum) {
								bNum = p;
								bDen = s;
								v1 = ar[i];
								v2 = s2;
							}
						}	
					}
				}
				
			}
			out.println(v1+" "+v1+" "+v2+" "+v2);
			
			
			
		}
		out.close();

	}

	static int tern(int lo, int hi, long s1) {
		if(lo+3 >= hi) {
			int bestId = -1;
			long bNum = -1;
			long bDen = 1;
			for(int i = lo; i <= hi; i++) {
				long p = s1*2 + list[i]*2;
				p = p*p;
				long s = s1*list[i];
				if(bNum == -1 || p*bDen < s*bNum) {
					bNum = p;
					bDen = s;
					bestId = i;
				}
			}
			return bestId;
		}
		int lt = lo + (hi-lo)/3;
		int rt = lo + 2*((hi-lo)/3);
		
		long lp = s1*2 + list[lt]*2;
		lp = lp*lp;
		long ls = s1*list[lt];
		
		long rp = s1*2 + list[rt]*2;
		rp = rp*rp;
		long rs = s1*list[rt];
		if(lp*rs < ls*rp) return tern(lo, rt, s1);
		else return tern(lt, hi, s1);
		
	}
	
	
	static class JS{
		public int BS = 1<<16;
		public char NC = (char)0;
		byte[] buf = new byte[BS];
		int bId = 0, size = 0;
		char c = NC;
		double num = 1;
		BufferedInputStream in;
		
		public JS() {
			in = new BufferedInputStream(System.in, BS);
		}
		
		public JS(String s) throws FileNotFoundException {
			in = new BufferedInputStream(new FileInputStream(new File(s)), BS);
		}
		
		public char nextChar(){
			while(bId==size) {
				try {
					size = in.read(buf);
				}catch(Exception e) {
					return NC;
				}				
				if(size==-1)return NC;
				bId=0;
			}
			return (char)buf[bId++];
		}
		
		public int nextInt() {
			return (int)nextLong();
		}
		
		public long nextLong() {
			num=1;
			boolean neg = false;
			if(c==NC)c=nextChar();
			for(;(c<'0' || c>'9'); c = nextChar()) {
				if(c=='-')neg=true;
			}
			long res = 0;
			for(; c>='0' && c <='9'; c=nextChar()) {
				res = (res<<3)+(res<<1)+c-'0';
				num*=10;
			}
			return neg?-res:res;
		}
		
		public double nextDouble() {
		    while(c!='.'&&c!='-'&&(c <'0' || c>'9')) c = nextChar();
		    boolean neg = c=='-';
		    if(neg)c=nextChar();
		    boolean fl = c=='.';
		    double cur = nextLong();
		    if(fl) return neg ? -cur/num : cur/num;
		    if(c == '.') {
			double next = nextLong();
			return neg ? -cur-next/num : cur+next/num;
		    }
		    else return neg ? -cur : cur;
		}
		
		public String next() {
			StringBuilder res = new StringBuilder();
			while(c<=32)c=nextChar();
			while(c>32) {
				res.append(c);
				c=nextChar();
			}
			return res.toString();
		}
		
		public String nextLine() {
			StringBuilder res = new StringBuilder();
			while(c<=32)c=nextChar();
			while(c!='\n') {
				res.append(c);
				c=nextChar();
			}
			return res.toString();
		}

		public boolean hasNext() {
			if(c>32)return true;
			while(true) {
				c=nextChar();
				if(c==NC)return false;
				else if(c>32)return true;
			}
		}
	}
	
}