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.*;
import java.util.*;




public class Main {

    class Pair {
        int lastI = -1;
        int count = 0;
    }

    private static FastScanner in = new FastScanner();
    private static FastOutput out = new FastOutput();

    public void run() {
        long n = in.nextInt();
        Pair[] hasc = new Pair[10001];

        for (int i = 0; i < hasc.length; i++) {
            hasc[i] = new Pair();
        }


        for (int i = 0; i < n; i++) {
            int m = in.nextInt();

            List<Integer> vals = new LinkedList<>();

            for (int j = 0; j < m; j++) {
                int cur = in.nextInt();
                Pair pair = hasc[cur];
                if (pair.lastI != i) {
                    pair.lastI = i;
                    pair.count = 1;
                } else {
                    pair.count++;
                    if (pair.count == 2 || pair.count == 4) {
                        vals.add(cur);
                    }
                }
            }

            Collections.sort(vals);

            Integer prev = null;
            Double bestRes = Double.MAX_VALUE;

            int a = -1, b = -1;

            for (Integer cur : vals) {
                if (prev == null) {
                    prev = cur;
                    continue;
                }

                long p = (2L * (prev + cur));
                long s = (long) prev * (long) cur;
                double curRes = p * p / (double) s;

                if (curRes < bestRes) {
                    bestRes = curRes;
                    a = cur;
                    b = prev;
                }
                prev = cur;
            }

            out.print(a, a, b, b);
            out.println("");
        }
    }

    public static void main(String[] args) {
        new Main().run();
        out.flush();
        out.close();
    }
}

class FastScanner {
    BufferedReader br;
    StringTokenizer st;

    FastScanner() {
        this(System.in);
    }

    FastScanner(InputStream stream) {
        br = new BufferedReader(new InputStreamReader(stream));
    }

    FastScanner(File file) {
        try {
            br = new BufferedReader(new FileReader(file));
        } catch (FileNotFoundException e) {
            throw new RuntimeException(e);
        }
    }

    String next() {
        while (st == null || !st.hasMoreTokens()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return st.nextToken();
    }

    int nextInt() {
        return Integer.parseInt(next());
    }

    long nextLong() {
        return Long.parseLong(next());
    }
}

class FastOutput {
    private final BufferedWriter bf;


    public FastOutput(OutputStream outputStream) {
        bf = new BufferedWriter(new OutputStreamWriter(outputStream));
    }

    public FastOutput() {
        this(System.out);
    }

    private void printOne(Object s) {
        try {
            bf.write(s.toString());
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public void println(Object s) {
        printOne(s);
        printOne("\n");
    }

    public void print(Object ...os) {
        printd(" ", os);
    }

    public void printd(String delimiter, Object ...os) {
        for (Object o : os) {
            printOne(o);
            printOne(delimiter);
        }
    }

    public void flush() {
        try {
            bf.flush();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public void close() {
        try {
            bf.close();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }
}