Problem: You are given a permutation of length n. Recall that the permutation is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2, 3, 1, 5, 4] is a permutation, but [1, 2, 2] is not a permutation (2 appears twice in the array) and [1, 3, 4] is also not a permutation (n=3 but there is 4 in the array).

You can perform at most n-1 operations with the given permutation (it is possible that you don't perform any operations at all). The i-th operation allows you to swap elements of the given permutation on positions i and i+1. Each operation can be performed at most once. The operations can be performed in arbitrary order.

Your task is to find the lexicographically minimum possible permutation obtained by performing some of the given operations in some order.

You can see the definition of the lexicographical order in the notes section.

You have to answer q independent test cases.

For example, let's consider the permutation [5, 4, 1, 3, 2]. The minimum possible permutation we can obtain is [1, 5, 2, 4, 3] and we can do it in the following way:

  1. perform the second operation (swap the second and the third elements) and obtain the permutation [5, 1, 4, 3, 2]; 
  2. perform the fourth operation (swap the fourth and the fifth elements) and obtain the permutation [5, 1, 4, 2, 3]; 
  3. perform the third operation (swap the third and the fourth elements) and obtain the permutation [5, 1, 2, 4, 3]. 
  4. perform the first operation (swap the first and the second elements) and obtain the permutation [1, 5, 2, 4, 3]; 



Another example is [1, 2, 4, 3]. The minimum possible permutation we can obtain is [1, 2, 3, 4] by performing the third operation (swap the third and the fourth elements).

Input

The first line of the input contains one integer q (1 ≤ q ≤ 100) — the number of test cases. Then q test cases follow.

The first line of the test case contains one integer n (1 ≤ n ≤ 100) — the number of elements in the permutation.

The second line of the test case contains n distinct integers from 1 to n — the given permutation.

Output

For each test case, print the answer on it — the lexicograhically minimum possible permutation obtained by performing some of the given operations in some order.

Example

Input


4
5
5 4 1 3 2
4
1 2 4 3
1
1
4
4 3 2 1


Output


1 5 2 4 3 
1 2 3 4 
1 
1 4 3 2 

Note

Recall that the permutation p of length n is lexicographically less than the permutation q of length n if there is such index i ≤ n that for all j from 1 to i - 1 the condition p_j = q_j is satisfied, and p_i < q_i. For example:

  * p = [1, 3, 5, 2, 4] is less than q = [1, 3, 5, 4, 2] (such i=4 exists, that p_i < q_i and for each j < i holds p_j = q_j), 
  * p = [1, 2] is less than q = [2, 1] (such i=1 exists, that p_i < q_i and for each j < i holds p_j = q_j). 

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import static java.lang.Math.*;
import java.math.BigInteger;

public class B {

    public static void main(String[] args) throws Exception {
        FastScanner scanner = new FastScanner();

        int T = scanner.nextInt();

        while (T-- != 0) {
            int n = scanner.nextInt();
            int[] arr = scanner.nextIntArray();
            int ind = 0;
            int old;
            int cur;
            while (ind < n - 1) {
                old = ind;

                int cur_val = Integer.MAX_VALUE;
                cur = 0;
                while (ind < n) {
                    if (arr[ind] < cur_val) {
                        cur = ind;
                        cur_val = arr[ind];
                    }
                    ind++;
                }

                ind = cur;

                int restore = ind;
                if (old != ind) {
                    while (old < ind) {
                        int tmp = arr[ind - 1];
                        arr[ind - 1] = arr[ind];
                        arr[ind] = tmp;
                        ind--;
                    }
                    ind = restore;
                } else {
                    ind++;
                }
            }
            for (int i = 0; i < n; i++) {
                System.out.print(arr[i] + " ");
            }
            System.out.println();
        }
    }

    private static class FastScanner {
        private BufferedReader br;

        public FastScanner() { br = new BufferedReader(new InputStreamReader(System.in)); }
        public FastScanner(String input) throws Exception { br = new BufferedReader(new FileReader(input)); }
        public int[] nextIntArray() throws IOException {
            String line = br.readLine();
            String[] strings = line.trim().split("\\s+");
            int[] array = new int[strings.length];
            for (int i = 0; i < array.length; i++)
                array[i] = Integer.parseInt(strings[i]);
            return array;
        }
        public int nextInt() throws IOException { return Integer.parseInt(br.readLine()); }
        public long[] nextLongArray() throws IOException {
            String line = br.readLine();
            String[] strings = line.trim().split("\\s+");
            long[] array = new long[strings.length];
            for (int i = 0; i < array.length; i++)
                array[i] = Long.parseLong(strings[i]);
            return array;
        }
        public ArrayList<Integer> nextIntegerArrayList() throws IOException {
            String line = br.readLine();
            String[] strings = line.trim().split("\\s+");
            ArrayList<Integer> array = new ArrayList<Integer>();
            for (int i = 0; i < strings.length; i++)
                array.add(Integer.parseInt(strings[i]));
            return array;
        }
        public ArrayList<Long> nextLongArrayList() throws IOException {
            String line = br.readLine();
            String[] strings = line.trim().split("\\s+");
            ArrayList<Long> array = new ArrayList<Long>();
            for (int i = 0; i < strings.length; i++)
                array.add(Long.parseLong(strings[i]));
            return array;
        }
        public long nextLong() throws IOException { return Long.parseLong(br.readLine()); }
        public double nextDouble() throws IOException { return Double.parseDouble(br.readLine()); }
        public String nextLine() throws IOException { return br.readLine(); }


        public ArrayList<BigInteger> nextBigIntegers() throws IOException {
            String line = br.readLine();
            String[] strings = line.trim().split("\\s+");
            ArrayList<BigInteger> array = new ArrayList<BigInteger>();
            for (int i = 0; i < strings.length; i++)
                array.add(BigInteger.valueOf(Long.valueOf(strings[i])));
            return array;
        }
    }
}