Problem: All techniques in the ninja world consist of hand seals. At the moment Naruto is learning a new technique, which consists of n⋅ m different seals, denoted by distinct numbers. All of them were written in an n× m table.

The table is lost now. Naruto managed to remember elements of each row from left to right, and elements of each column from top to bottom, but he doesn't remember the order of rows and columns. Please restore the table consistent with this data so that Naruto will be able to learn the new technique.

Input

The first line of the input contains the only integer t (1≤ t≤ 100 000) denoting the number of test cases. Their descriptions follow.

The first line of each test case description consists of two space-separated integers n and m (1 ≤ n, m ≤ 500) standing for the number of rows and columns in the table, respectively. All hand seals are encoded by the positive integers from 1 to n⋅ m.

The following n lines contain m space separated integers each, denoting elements of an arbitrary row in the table left to right.

The following m lines contain n space separated integers each, denoting elements of an arbitrary column in the table top to bottom.

Sum of nm over all test cases does not exceed 250 000. It is guaranteed that each row occurs in the input exactly once, as well as each column. It is also guaranteed that each number from 1 to nm occurs exactly once in all rows, as well as in all columns. Finally, it is guaranteed that a table consistent with the input exists.

Output

For each test case, output n lines with m space-separated integers each, denoting the restored table. One can show that the answer is always unique.

Example

Input


2
2 3
6 5 4
1 2 3
1 6
2 5
3 4
3 1
2
3
1
3 1 2


Output


1 2 3 
6 5 4 
3 
1 
2 

Note

Consider the first test case. The matrix is 2 × 3. You are given the rows and columns in arbitrary order.

One of the rows is [6, 5, 4]. One of the rows is [1, 2, 3].

One of the columns is [1, 6]. One of the columns is [2, 5]. One of the columns is [3, 4].

You are to reconstruct the matrix. The answer is given in the output.

Solution (in JAVA):

Solution:
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Date;

public class ANewTechnique {
	static class Reader {
		final private int BUFFER_SIZE = 1 << 16;
		private final DataInputStream din;
		private final byte[] buffer;
		private int bufferPointer, bytesRead;

		public Reader() {
			din = new DataInputStream(System.in);
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public Reader(String file_name) throws IOException {
			din = new DataInputStream(new FileInputStream(file_name));
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public String readLine() throws IOException {
			byte[] buf = new byte[1024]; // line length
			int cnt = 0, c;
			while ((c = read()) != -1) {
				if (c == '\n')
					break;
				buf[cnt++] = (byte) c;
			}
			return new String(buf, 0, cnt);
		}

		public int nextInt() throws IOException {
			int ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return -ret;
			return ret;
		}

		public long nextLong() throws IOException {
			long ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			}
			while ((c = read()) >= '0' && c <= '9');
			if (neg)
				return -ret;
			return ret;
		}

		public double nextDouble() throws IOException {
			double ret = 0, div = 1;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();

			do {
				ret = ret * 10 + c - '0';
			}
			while ((c = read()) >= '0' && c <= '9');

			if (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}

			if (neg)
				return -ret;
			return ret;
		}

		private void fillBuffer() throws IOException {
			bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
			if (bytesRead == -1)
				buffer[0] = -1;
		}

		private byte read() throws IOException {
			if (bufferPointer == bytesRead)
				fillBuffer();
			return buffer[bufferPointer++];
		}

		public void close() throws IOException {
			din.close();
		}
	}

	static Reader s = new Reader();
	static PrintWriter printer = new PrintWriter(System.out);

	private static int[] readArray(int n) {
		int[] arr = new int[n];
		try {
			for (int i = 0; i < n; i++)
				arr[i] = s.nextInt();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return arr;
	}

	private static int[][] readArray(int n, int m) {
		int[][] arr = new int[n][m];
		for (int i = 0; i < n; i++) {
			try {
				for (int j = 0; j < m; j++)
					arr[i][j] = s.nextInt();

			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return arr;
	}

	private static long[] readLongArray(int n) {
		long[] arr = new long[n];
		for (int i = 0; i < n; i++) {
			try {
				arr[i] = s.nextLong();

			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return arr;
	}

	private static long[][] readLongArray(int n, int m) {
		long[][] arr = new long[n][m];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				try {
					arr[i][j] = s.nextLong();

				} catch (IOException e) {
					e.printStackTrace();
				}
			}
		}
		return arr;
	}

	private static int readInt() {
		int n = -1;
		try {
			n = s.nextInt();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return n;
	}

	private static long readLong() {
		long l = -1;
		try {
			l = s.nextLong();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return l;
	}

	private static String readString() {
		String line = "";
		try {
			line = s.readLine();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return line;
	}

	static int gcd(int a, int b) {
		if (b == 0)
			return a;

		return gcd(b, a % b);
	}

	private static void print(Object output) {
		printer.println(output);
	}

	private static void printMatrix(int[][] mat) {
		for (int[] ints : mat) {
			for (int anInt : ints) printer.print(anInt + " ");
			printer.println();
		}
	}

	private static int searchInMatrix(int num, int[][] matrix) {
		for (int[] ints : matrix)
			for (int j = 0; j < matrix[0].length; ++j)
				if (num == ints[j]) return j;

		return -1;
	}

	private static void solve() {
		int n = readInt();
		int m = readInt();
		int[][] rows = new int[n][m];
		for (int i = 0; i < n; ++i)
			rows[i] = readArray(m);

		int[][] columns = new int[m][n];
		for (int i = 0; i < m; ++i)
			columns[i] = readArray(n);

		int[][] result = new int[n][m];
		for (int i = 0; i < n; ++i) {
			int start = rows[i][0];
			int index = searchInMatrix(start, columns);
			result[index] = rows[i];
		}

		printMatrix(result);
	}

	public static void main(String[] args) {
		int t = readInt();
		while (t-- != 0)
			solve();

		printer.flush();
	}
}