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.awt.Point;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.List;
import java.util.Locale;
import java.util.Random;
import java.util.StringTokenizer;

import static java.lang.Math.max;
import static java.lang.Math.min;


public class B_Techno implements Runnable{

    // SOLUTION AT THE TOP OF CODE!!!
    // HACK ME PLEASE IF YOU CAN!!!
    // PLEASE!!!
    // PLEASE!!!
    // PLEASE!!!

    @SuppressWarnings("unused")
    private final static Random rnd = new Random();
    private final static String fileName = "";

    private final static long MODULO = 1000 * 1000 * 1000 + 7;

    // THERE SOLUTION STARTS!!!
    private void solve() {
        int t = readInt();
        while (t --> 0) {
            solveTest();
        }
    }

    void solveTest() {
        int rowsCount = readInt();
        int columnsCount = readInt();

        int[][] rows = readIntMatrixWithDecrease(rowsCount, columnsCount);
        int[][] columns = readIntMatrixWithDecrease(columnsCount, rowsCount);

        int size = rowsCount * columnsCount;

        int[] startedRows = new int[size];
        Arrays.fill(startedRows, -1);

        int[] startedColumns = new int[size];
        Arrays.fill(startedColumns, -1);

        for (int row = 0; row < rowsCount; ++row) {
            int first = rows[row][0];
            startedRows[first] = row;
        }

        for (int column = 0; column < columnsCount; ++column) {
            int first = columns[column][0];
            startedColumns[first] = column;
        }

        int topLeft = -1;
        for (int v = 0; v < size; ++v) {
            if (-1 != startedRows[v] && -1 != startedColumns[v]) {
                topLeft = v;
            }
        }

        int[][] answer = new int[rowsCount][];

        int[] firstColumn = columns[startedColumns[topLeft]];
        for (int i = 0; i < rowsCount; ++i) {
            int value = firstColumn[i];
            answer[i] = rows[startedRows[value]];
        }

        for (int[] row : answer) {
            for (int v : row) {
                out.print((v + 1) + " ");
            }
            out.println();
        }
    }

    /////////////////////////////////////////////////////////////////////

    private final static boolean MULTIPLE_TESTS = true;
    private final boolean ONLINE_JUDGE = !new File("input.txt").exists();
//    private final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;

    private final static int MAX_STACK_SIZE = 128;

    private final static boolean OPTIMIZE_READ_NUMBERS = false;

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private static long inverse(long x) {
        return binpow(x, MODULO - 2);
    }

    private static long binpow(long base, long power) {
        if (power == 0) return 1;
        if ((power & 1) == 0) {
            long half = binpow(base, power >> 1);
            return mult(half, half);
        } else {
            long prev = binpow(base, power - 1);
            return mult(prev, base);
        }
    }

    private static long add(long a, long b) { return (a + b) % MODULO; }

    @SuppressWarnings("unused")
    private static long subtract(long a, long b) { return add(a, MODULO - b % MODULO); }

    private static long mult(long a, long b) { return (a * b) % MODULO; }

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    boolean yesNo(boolean yes) {
        out.println(yes ? "YES" : "NO");
        return yes;
    }

    /////////////////////////////////////////////////////////////////////

    public void run(){
        try{
            timeInit();
            Locale.setDefault(Locale.US);

            init();

            if (ONLINE_JUDGE) {
                solve();
            } else {
                do {
                    try {
                        timeInit();
                        solve();
                        time();

                        out.println();
                        out.flush();
                    } catch (NumberFormatException | EOFException e) {
                        break;
                    }
                } while (MULTIPLE_TESTS);
            }

            out.close();
            time();
        }catch (Exception e){
            e.printStackTrace(System.err);
            System.exit(-1);
        }
    }

    /////////////////////////////////////////////////////////////////////

    private BufferedReader in;
    private OutputWriter out;
    private StringTokenizer tok = new StringTokenizer("");

    public static void main(String[] args){
        new Thread(null, new B_Techno(), "", MAX_STACK_SIZE * (1L << 20)).start();
    }

    /////////////////////////////////////////////////////////////////////

    private void init() throws FileNotFoundException{
        Locale.setDefault(Locale.US);

        if (ONLINE_JUDGE){
            if (fileName.isEmpty()) {
                in = new BufferedReader(new InputStreamReader(System.in));
                out = new OutputWriter(System.out);
            } else {
                in = new BufferedReader(new FileReader(fileName + ".in"));
                out = new OutputWriter(fileName + ".out");
            }
        }else{
            in = new BufferedReader(new FileReader("input.txt"));
            out = new OutputWriter("output.txt");
        }
    }

    ////////////////////////////////////////////////////////////////

    private long timeBegin;

    private void timeInit() {
        this.timeBegin = System.currentTimeMillis();
    }

    private void time(){
        long timeEnd = System.currentTimeMillis();
        System.err.println("Time = " + (timeEnd - timeBegin));
    }

    @SuppressWarnings("unused")
    private void debug(Object... objects){
        if (ONLINE_JUDGE){
            for (Object o: objects){
                System.err.println(o.toString());
            }
        }
    }

    /////////////////////////////////////////////////////////////////////

    private String delim = " ";

    private String readNullableLine() {
        try {
            return in.readLine();
        } catch (IOException e) {
            throw new RuntimeIOException(e);
        }
    }

    private String readLine() {
        String line = readNullableLine();
        if (null == line) throw new EOFException();
        return line;
    }

    private String readString() {
        while(!tok.hasMoreTokens()){
            tok = new StringTokenizer(readLine(), delim);
        }

        return tok.nextToken(delim);
    }

    /////////////////////////////////////////////////////////////////

    private final char NOT_A_SYMBOL = '\0';

    @SuppressWarnings("unused")
    private char readChar() {
        try {
            int intValue = in.read();

            if (intValue == -1){
                return NOT_A_SYMBOL;
            }

            return (char) intValue;
        } catch (IOException e) {
            throw new RuntimeIOException(e);
        }
    }

    private char[] readCharArray() {
        return readLine().toCharArray();
    }

    @SuppressWarnings("unused")
    private char[][] readCharField(int rowsCount) {
        char[][] field = new char[rowsCount][];
        for (int row = 0; row < rowsCount; ++row) {
            field[row] = readCharArray();
        }

        return field;
    }

    /////////////////////////////////////////////////////////////////

    private long optimizedReadLong() {
        int sign = 1;
        long result = 0;
        boolean started = false;
        while (true) {
            try {
                int j = in.read();
                if (-1 == j) {
                    if (started) return sign * result;
                    throw new NumberFormatException();
                }

                if (j == '-') {
                    if (started) throw new NumberFormatException();
                    sign = -sign;
                }

                if ('0' <= j && j <= '9') {
                    result = result * 10 + j - '0';
                    started = true;
                } else if (started) {
                    return sign * result;
                }
            } catch (IOException e) {
                throw new RuntimeIOException(e);
            }
        }
    }

    private int readInt() {

        if (!OPTIMIZE_READ_NUMBERS) {
            return Integer.parseInt(readString());
        } else {
            return (int) optimizedReadLong();
        }
    }

    private int[] readIntArray(int size) {
        int[] array = new int[size];

        for (int index = 0; index < size; ++index){
            array[index] = readInt();
        }

        return array;
    }

    @SuppressWarnings("unused")
    private int[] readSortedIntArray(int size) {
        Integer[] array = new Integer[size];

        for (int index = 0; index < size; ++index) {
            array[index] = readInt();
        }
        Arrays.sort(array);

        int[] sortedArray = new int[size];
        for (int index = 0; index < size; ++index) {
            sortedArray[index] = array[index];
        }

        return sortedArray;
    }

    private int[] readIntArrayWithDecrease(int size) {
        int[] array = readIntArray(size);

        for (int i = 0; i < size; ++i) {
            array[i]--;
        }

        return array;
    }

    ///////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private int[][] readIntMatrix(int rowsCount, int columnsCount) {
        int[][] matrix = new int[rowsCount][];

        for (int rowIndex = 0; rowIndex < rowsCount; ++rowIndex) {
            matrix[rowIndex] = readIntArray(columnsCount);
        }

        return matrix;
    }

    @SuppressWarnings("unused")
    private int[][] readIntMatrixWithDecrease(int rowsCount, int columnsCount) {
        int[][] matrix = new int[rowsCount][];

        for (int rowIndex = 0; rowIndex < rowsCount; ++rowIndex) {
            matrix[rowIndex] = readIntArrayWithDecrease(columnsCount);
        }

        return matrix;
    }

    ///////////////////////////////////////////////////////////////////

    private long readLong() {
        if (!OPTIMIZE_READ_NUMBERS) {
            return Long.parseLong(readString());
        } else {
            return optimizedReadLong();
        }
    }

    @SuppressWarnings("unused")
    private long[] readLongArray(int size) {
        long[] array = new long[size];

        for (int index = 0; index < size; ++index){
            array[index] = readLong();
        }

        return array;
    }

    ////////////////////////////////////////////////////////////////////

    private double readDouble() {
        return Double.parseDouble(readString());
    }

    @SuppressWarnings("unused")
    private double[] readDoubleArray(int size) {
        double[] array = new double[size];

        for (int index = 0; index < size; ++index){
            array[index] = readDouble();
        }

        return array;
    }

    ////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private BigInteger readBigInteger() {
        return new BigInteger(readString());
    }

    @SuppressWarnings("unused")
    private BigDecimal readBigDecimal() {
        return new BigDecimal(readString());
    }

    /////////////////////////////////////////////////////////////////////

    private Point readPoint() {
        int x = readInt();
        int y = readInt();
        return new Point(x, y);
    }

    @SuppressWarnings("unused")
    private Point[] readPointArray(int size) {
        Point[] array = new Point[size];

        for (int index = 0; index < size; ++index){
            array[index] = readPoint();
        }

        return array;
    }

    /////////////////////////////////////////////////////////////////////

    @Deprecated
    @SuppressWarnings("unused")
    private List<Integer>[] readGraph(int vertexNumber, int edgeNumber) {
        @SuppressWarnings("unchecked")
        List<Integer>[] graph = new List[vertexNumber];

        for (int index = 0; index < vertexNumber; ++index){
            graph[index] = new ArrayList<>();
        }

        while (edgeNumber-- > 0){
            int from = readInt() - 1;
            int to = readInt() - 1;

            graph[from].add(to);
            graph[to].add(from);
        }

        return graph;
    }

    private static class GraphBuilder {

        final int size;
        final List<Integer>[] edges;

        static GraphBuilder createInstance(int size) {
            @SuppressWarnings("unchecked")
            List<Integer>[] edges = new List[size];
            for (int v = 0; v < size; ++v) {
                edges[v] = new ArrayList<>();
            }

            return new GraphBuilder(edges);
        }

        private GraphBuilder(List<Integer>[] edges) {
            this.size = edges.length;
            this.edges = edges;
        }

        public void addEdge(int from, int to) {
            addDirectedEdge(from, to);
            addDirectedEdge(to, from);
        }

        public void addDirectedEdge(int from, int to) {
            edges[from].add(to);
        }

        public int[][] build() {
            int[][] graph = new int[size][];
            for (int v = 0; v < size; ++v) {
                List<Integer> vEdges = edges[v];
                graph[v] = castInt(vEdges);
            }

            return graph;
        }
    }

    @SuppressWarnings("unused")
    private final static int ZERO_INDEXATION = 0, ONE_INDEXATION = 1;

    @SuppressWarnings("unused")
    private int[][] readUnweightedGraph(int vertexNumber, int edgesNumber) {
        return readUnweightedGraph(vertexNumber, edgesNumber, ONE_INDEXATION, false);
    }

    private int[][] readUnweightedGraph(int vertexNumber, int edgesNumber,
                                        int indexation, boolean directed
    ) {
        GraphBuilder graphBuilder = GraphBuilder.createInstance(vertexNumber);
        for (int i = 0; i < edgesNumber; ++i) {
            int from = readInt() - indexation;
            int to = readInt() - indexation;

            if (directed) graphBuilder.addDirectedEdge(from, to);
            else graphBuilder.addEdge(from, to);
        }

        return graphBuilder.build();
    }

    private static class Edge {
        int to;
        int w;

        Edge(int to, int w) {
            this.to = to;
            this.w = w;
        }
    }

    @SuppressWarnings("unused")
    private Edge[][] readWeightedGraph(int vertexNumber, int edgesNumber) {
        return readWeightedGraph(vertexNumber, edgesNumber, ONE_INDEXATION, false);
    }

    private Edge[][] readWeightedGraph(int vertexNumber, int edgesNumber,
                                       int indexation, boolean directed) {
        @SuppressWarnings("unchecked")
        List<Edge>[] graph = new List[vertexNumber];
        for (int v = 0; v < vertexNumber; ++v) {
            graph[v] = new ArrayList<>();
        }

        while (edgesNumber --> 0) {
            int from = readInt() - indexation;
            int to = readInt() - indexation;
            int w = readInt();

            graph[from].add(new Edge(to, w));
            if (!directed) graph[to].add(new Edge(from, w));
        }

        Edge[][] graphArrays = new Edge[vertexNumber][];
        for (int v = 0; v < vertexNumber; ++v) {
            graphArrays[v] = graph[v].toArray(new Edge[0]);
        }

        return graphArrays;
    }

    /////////////////////////////////////////////////////////////////////

    private static class IntIndexPair {

        @SuppressWarnings("unused")
        static Comparator<IntIndexPair> increaseComparator = (indexPair1, indexPair2) -> {
            int value1 = indexPair1.value;
            int value2 = indexPair2.value;

            if (value1 != value2) {
                return value1 - value2;
            }

            int index1 = indexPair1.index;
            int index2 = indexPair2.index;

            return index1 - index2;
        };

        @SuppressWarnings("unused")
        static Comparator<IntIndexPair> decreaseComparator = (indexPair1, indexPair2) -> {
            int value1 = indexPair1.value;
            int value2 = indexPair2.value;

            if (value1 != value2) {
                return -(value1 - value2);
            }

            int index1 = indexPair1.index;
            int index2 = indexPair2.index;

            return index1 - index2;
        };

        @SuppressWarnings("unused")
        static IntIndexPair[] from(int[] array) {
            IntIndexPair[] iip = new IntIndexPair[array.length];
            for (int i = 0; i < array.length; ++i) {
                iip[i] = new IntIndexPair(array[i], i);
            }

            return iip;
        }

        int value, index;

        IntIndexPair(int value, int index) {
            super();
            this.value = value;
            this.index = index;
        }

        @SuppressWarnings("unused")
        int getRealIndex() {
            return index + 1;
        }
    }

    @SuppressWarnings("unused")
    private IntIndexPair[] readIntIndexArray(int size) {
        IntIndexPair[] array = new IntIndexPair[size];

        for (int index = 0; index < size; ++index) {
            array[index] = new IntIndexPair(readInt(), index);
        }

        return array;
    }

    /////////////////////////////////////////////////////////////////////

    private static class OutputWriter extends PrintWriter {

        final int DEFAULT_PRECISION = 12;

        private int precision;
        private String format, formatWithSpace;

        {
            precision = DEFAULT_PRECISION;

            format = createFormat(precision);
            formatWithSpace = format + " ";
        }

        OutputWriter(OutputStream out) {
            super(out);
        }

        OutputWriter(String fileName) throws FileNotFoundException {
            super(fileName);
        }

        int getPrecision() {
            return precision;
        }

        void setPrecision(int precision) {
            precision = max(0, precision);
            this.precision = precision;

            format = createFormat(precision);
            formatWithSpace = format + " ";
        }

        String createFormat(int precision){
            return "%." + precision + "f";
        }

        @Override
        public void print(double d){
            printf(format, d);
        }
        
        @Override
        public void println(double d){
            print(d);
            println();
        }

        void printWithSpace(double d){
            printf(formatWithSpace, d);
        }

        void printAll(double...d){
            for (int i = 0; i < d.length - 1; ++i){
                printWithSpace(d[i]);
            }

            print(d[d.length - 1]);
        }

        @SuppressWarnings("unused")
        void printlnAll(double... d){
            printAll(d);
            println();
        }
        
        void printAll(int... array) {
        	for (int value : array) {
        		print(value + " ");
        	}
        }

        @SuppressWarnings("unused")
        void printlnAll(int... array) {
        	printAll(array);
        	println();
        }
        
        void printAll(long... array) {
        	for (long value : array) {
        		print(value + " ");
        	}
        }

        @SuppressWarnings("unused")
        void printlnAll(long... array) {
        	printAll(array);
        	println();
        }
    }

    /////////////////////////////////////////////////////////////////////

    private static class EOFException extends RuntimeException {

        EOFException() {
            super();
        }
    }

    private static class RuntimeIOException extends RuntimeException {

        /**
         *
         */
        private static final long serialVersionUID = -6463830523020118289L;

        RuntimeIOException(Throwable cause) {
            super(cause);
        }
    }

    /////////////////////////////////////////////////////////////////////
    //////////////// Some useful constants andTo functions ////////////////
    /////////////////////////////////////////////////////////////////////

    private static void swap(int[] array, int i, int j) {
        if (i != j) {
            int tmp = array[i];
            array[i] = array[j];
            array[j] = tmp;
        }
    }

    private static <T> void swap(T[] array, int i, int j) {
        if (i != j) {
            T tmp = array[i];
            array[i] = array[j];
            array[j] = tmp;
        }
    }

    private static final int[][] steps = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}};
    private static final int[][] steps8 = {
            {-1, 0}, {1, 0}, {0, -1}, {0, 1},
            {-1, -1}, {1, 1}, {1, -1}, {-1, 1}
    };

    @SuppressWarnings("unused")
    private static boolean checkCell(int row, int rowsCount, int column, int columnsCount) {
        return checkIndex(row, rowsCount) && checkIndex(column, columnsCount);
    }

    private static boolean checkIndex(int index, int lim){
        return (0 <= index && index < lim);
    }

    /////////////////////////////////////////////////////////////////////

    private static int getBit(long mask, int bit) { return (int)((mask >> bit) & 1); }

    @SuppressWarnings("unused")
    private static boolean checkBit(long mask, int bit){
        return getBit(mask, bit) != 0;
    }

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private static long getSum(int[] array) {
        long sum = 0;
        for (int value: array) {
            sum += value;
        }

        return sum;
    }

    @SuppressWarnings("unused")
    private static Point getMinMax(int[] array) {
        int min = array[0];
        int max = array[0];

        for (int index = 0, size = array.length; index < size; ++index, ++index) {
            int value = array[index];

            if (index == size - 1) {
                min = min(min, value);
                max = max(max, value);
            } else {
                int otherValue = array[index + 1];

                if (value <= otherValue) {
                    min = min(min, value);
                    max = max(max, otherValue);
                } else {
                    min = min(min, otherValue);
                    max = max(max, value);
                }
            }
        }

        return new Point(min, max);
    }

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private static boolean isPrime(int x) {
        if (x < 2) return false;
        for (int d = 2; d * d <= x; ++d) {
            if (x % d == 0) return false;
        }

        return true;
    }

    @SuppressWarnings("unused")
    private static int[] getPrimes(int n) {
        boolean[] used = new boolean[n];
        used[0] = used[1] = true;

        int size = 0;
        for (int i = 2; i < n; ++i) {
            if (!used[i]) {
                ++size;
                for (int j = 2 * i; j < n; j += i) {
                    used[j] = true;
                }
            }
        }

        int[] primes = new int[size];
        for (int i = 0, cur = 0; i < n; ++i) {
            if (!used[i]) {
                primes[cur++] = i;
            }
        }

        return primes;
    }

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    int[] getDivisors(int value) {
        List<Integer> divisors = new ArrayList<>();
        for (int divisor = 1; divisor * divisor <= value; ++divisor) {
            if (value % divisor == 0) {
                divisors.add(divisor);
                if (divisor * divisor != value) {
                    divisors.add(value / divisor);
                }
            }
        }

        return castInt(divisors);
    }

    @SuppressWarnings("unused")
    long[] getDivisors(long value) {
        List<Long> divisors = new ArrayList<>();
        for (long divisor = 1; divisor * divisor <= value; ++divisor) {
            if (value % divisor == 0) {
                divisors.add(divisor);
                if (divisor * divisor != value) {
                    divisors.add(value / divisor);
                }
            }
        }

        return castLong(divisors);
    }

    /////////////////////////////////////////////////////////////////////

    @SuppressWarnings("unused")
    private static long lcm(long a, long b) {
        return a / gcd(a, b) * b;
    }

    private static long gcd(long a, long b) {
        return (a == 0 ? b : gcd(b % a, a));
    }

    /////////////////////////////////////////////////////////////////////

    private static int[] castInt(List<Integer> list) {
        int[] array = new int[list.size()];
        for (int i = 0; i < array.length; ++i) {
            array[i] = list.get(i);
        }

        return array;
    }

    @SuppressWarnings("unused")
    private static long[] castLong(List<Long> list) {
        long[] array = new long[list.size()];
        for (int i = 0; i < array.length; ++i) {
            array[i] = list.get(i);
        }

        return array;
    }

    /////////////////////////////////////////////////////////////////////

    /**
     * Generates list with keys 0..<bowlsCount
     * @param n - exclusive limit of sequence
     */
    @SuppressWarnings("unused")
    private static List<Integer> order(int n) {
        List<Integer> sequence = new ArrayList<>();
        for (int i = 0; i < n; ++i) {
            sequence.add(i);
        }

        return sequence;
    }

    @SuppressWarnings("unused")
    private static List<Integer> shuffled(List<Integer> list) {
        Collections.shuffle(list, rnd);
        return list;
    }
}