Watto, the owner of a spare parts store, has recently got an order for the mechanism that can process strings in a certain way. Initially the memory of the mechanism is filled with n strings. Then the mechanism should be able to process queries of the following type: "Given string s, determine if the memory of the mechanism contains string t that consists of the same number of characters as s and differs from s in exactly one position".

Watto has already compiled the mechanism, all that's left is to write a program for it and check it on the data consisting of n initial lines and m queries. He decided to entrust this job to you.

Input

The first line contains two non-negative numbers n and m (0 ≤ n ≤ 3·105, 0 ≤ m ≤ 3·105) — the number of the initial strings and the number of queries, respectively.

Next follow n non-empty strings that are uploaded to the memory of the mechanism.

Next follow m non-empty strings that are the queries to the mechanism.

The total length of lines in the input doesn't exceed 6·105. Each line consists only of letters 'a', 'b', 'c'.

Output

For each query print on a single line "YES" (without the quotes), if the memory of the mechanism contains the required string, otherwise print "NO" (without the quotes).

Examples

Input

2 3
aaaaa
acacaca
aabaa
ccacacc
caaac


Output

YES
NO
NO
import java.util.*;
import java.io.*;
import java.math.*;

public class Main implements Runnable {

    final static int mod = 1000000007;
    static FastReader sc;
    static PrintWriter out;
    static boolean test_case_input = false;
    static final int MAX = 1000000001;
    static final int MIN = -1000000001;

    static class Node {
        boolean end;
        Node next[];

        public Node() {
            end = false;
            next = new Node[3];
        }
    }

    static class Trie {
        Node root;

        public Trie() {
            root = new Node();
        }

        public void insert(String s) {
            Node temp = root;
            int n = s.length();
            for (int i = 0; i < n; i++) {
                if (temp.next[s.charAt(i) - 'a'] == null)
                    temp.next[s.charAt(i) - 'a'] = new Node();
                temp = temp.next[s.charAt(i) - 'a'];
            }
            temp.end = true;
        }

        public boolean find(String s) {
            Node temp  = root;
            return find(s, temp, 0, 0);
        }

        public boolean find(String s, Node node, int ind, int diff) {
            if (diff > 1) return false;
            if (ind == s.length() && node.end && diff == 1) return true;
            if (ind == s.length()) return false;

            char c = s.charAt(ind);
            for (char i = 'a'; i <= 'c'; i++) {
                if (node.next[i - 'a'] != null) {
                    if (find(s, node.next[i - 'a'], ind + 1, diff + ((i != c) ? 1 : 0))) {
                        return true;
                    }
                }
            }
            return false;
        }
    }

    public static void solution(int test_case) throws IOException {
        // code
        int n = sc.nextInt();
        int m = sc.nextInt();
        Trie t = new Trie();
        for (int i = 0; i < n; i++) {
            String s = "";
            while (s.length() == 0) s = sc.nextLine();
            t.insert(s);
        }
        for (int i = 0; i < m; i++) {
            String s = "";
            while (s.length() == 0) s = sc.nextLine();
            if (t.find(s)) {
                out.println("YES");
            } else out.println("NO");
        }
    }

    // log A base B
    public static int logint(int x, int base) {
        return (int) (Math.log(x) / Math.log(base));
    }

    public static int logint(long x, long base) {
        return (int) (Math.log(x) / Math.log(base));
    }

    public static int logint(double x, double base) {
        return (int) (Math.log(x) / Math.log(base));
    }

    public static double logdouble(int x, int base) {
        return (Math.log(x) / Math.log(base));
    }

    public static double logdouble(long x, long base) {
        return (Math.log(x) / Math.log(base));
    }

    public static double logdouble(double x, double base) {
        return (Math.log(x) / Math.log(base));
    }

    public static long loglong(int x, int base) {
        return (long) (Math.log(x) / Math.log(base));
    }

    public static long loglong(long x, long base) {
        return (long) (Math.log(x) / Math.log(base));
    }

    public static long loglong(double x, double base) {
        return (long) (Math.log(x) / Math.log(base));
    }

    // Debug
    public static void debug(String msg, Object value) {
        File output = new File("output.txt");
        if (!output.exists()) return;
        String type = value.getClass().getSimpleName();
        if (type.equals("int[]")) out.println(msg + " => " + Arrays.toString((int[]) value));
        else if (type.equals("double[]")) out.println(msg + " => " + Arrays.toString((double[]) value));
        else if (type.equals("float[]")) out.println(msg + " => " + Arrays.toString((float[]) value));
        else if (type.equals("long[]")) out.println(msg + " => " + Arrays.toString((long[]) value));
        else if (type.equals("char[]")) out.println(msg + " => " + Arrays.toString((char[]) value));
        else if (type.equals("String[]")) out.println(msg + " => " + Arrays.toString((String[]) value));
        else if (type.equals("int[][]")) {
            out.println(msg + "=>");
            for (int i[] : (int[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("double[][]")) {
            out.println(msg + "=>");
            for (double i[] : (double[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("float[][]")) {
            out.println(msg + "=>");
            for (float i[] : (float[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("long[][]")) {
            out.println(msg + "=>");
            for (long i[] : (long[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("char[][]")) {
            out.println(msg + "=>");
            for (char i[] : (char[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("String[][]")) {
            out.println(msg + "=>");
            for (String i[] : (String[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else out.println(msg + " => " + value);
    }

    public static void debug(Object value) {
        File output = new File("output.txt");
        if (!output.exists()) return;
        String type = value.getClass().getSimpleName();
        if (type.equals("int[]")) out.println(" => " + Arrays.toString((int[]) value));
        else if (type.equals("double[]")) out.println(" => " + Arrays.toString((double[]) value));
        else if (type.equals("float[]")) out.println(" => " + Arrays.toString((float[]) value));
        else if (type.equals("long[]")) out.println(" => " + Arrays.toString((long[]) value));
        else if (type.equals("char[]")) out.println(" => " + Arrays.toString((char[]) value));
        else if (type.equals("String[]")) out.println(" => " + Arrays.toString((String[]) value));
        else if (type.equals("int[][]")) {
            out.println("=>");
            for (int i[] : (int[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("double[][]")) {
            out.println("=>");
            for (double i[] : (double[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("float[][]")) {
            out.println("=>");
            for (float i[] : (float[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("long[][]")) {
            out.println("=>");
            for (long i[] : (long[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("char[][]")) {
            out.println("=>");
            for (char i[] : (char[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else if (type.equals("String[][]")) {
            out.println("=>");
            for (String i[] : (String[][]) value)
                out.println(" . " + Arrays.toString(i).replace(' ', '\t'));
        } else out.println(" => " + value);
    }

    // Graph Functions
    public static void addUndirectedEdge(ArrayList<ArrayList<Integer>> adj, int u, int v) {
        adj.get(u).add(v);
        adj.get(v).add(u);
    }

    public static void addDirectedEdge(ArrayList<ArrayList<Integer>> adj, int u, int v) {
        adj.get(u).add(v);
    }

    public static <T> void addUndirectedEdge(ArrayList<ArrayList<Point>> adj, int u, int v, T weight) {
        adj.get(u).add(new Point(v, weight));
        adj.get(v).add(new Point(u, weight));
    }

    public static <T> void addDirectedEdge(ArrayList<ArrayList<Point>> adj, int u, int v, T weight) {
        adj.get(u).add(new Point(v, weight));
    }

    public static <T> void toString(String msg, ArrayList<ArrayList<T>> adj) {
        out.println(msg + ":");
        int count = 0;
        for (ArrayList<T> i : adj) {
            out.print("\t" + count++ + ": ");
            for (T j : i) {
                out.print(j + " ");
            }
            out.println();
        }
    }

    public static void addUndirectedEdge(Map<Integer, ArrayList<Integer>> adj, int u, int v) {
        if (adj.containsKey(u)) {
            ArrayList<Integer> temp = adj.get(u);
            temp.add(v);
            adj.put(u, temp);
        } else {
            ArrayList<Integer> temp = new ArrayList<>();
            temp.add(v);
            adj.put(u, temp);
        }
        if (adj.containsKey(v)) {
            ArrayList<Integer> temp = adj.get(v);
            temp.add(u);
            adj.put(v, temp);
        } else {
            ArrayList<Integer> temp = new ArrayList<>();
            temp.add(u);
            adj.put(v, temp);
        }
    }

    public static void addDirectedEdge(Map<Integer, ArrayList<Integer>> adj, int u, int v) {
        if (adj.containsKey(u)) {
            ArrayList<Integer> temp = adj.get(u);
            temp.add(v);
            adj.put(u, temp);
        } else {
            ArrayList<Integer> temp = new ArrayList<>();
            temp.add(v);
            adj.put(u, temp);
        }
    }

    public static <T> void addUndirectedEdge(Map<Integer, ArrayList<Point>> adj, int u, int v, T weight) {
        if (adj.containsKey(u)) {
            ArrayList<Point> temp = adj.get(u);
            temp.add(new Point(v, weight));
            adj.put(u, temp);
        } else {
            ArrayList<Point> temp = new ArrayList<>();
            temp.add(new Point(v, weight));
            adj.put(u, temp);
        }
        if (adj.containsKey(v)) {
            ArrayList<Point> temp = adj.get(v);
            temp.add(new Point(u, weight));
            adj.put(v, temp);
        } else {
            ArrayList<Point> temp = new ArrayList<>();
            temp.add(new Point(u, weight));
            adj.put(v, temp);
        }
    }

    public static <T> void addDirectedEdge(Map<Integer, ArrayList<Point>> adj, int u, int v, T weight) {
        if (adj.containsKey(u)) {
            ArrayList<Point> temp = adj.get(u);
            temp.add(new Point(v, weight));
            adj.put(u, temp);
        } else {
            ArrayList<Point> temp = new ArrayList<>();
            temp.add(new Point(v, weight));
            adj.put(u, temp);
        }
    }

    public static <T> void toString(String msg, Map<T, ArrayList<T>> adj) {
        out.println(msg + ":");
        for (Map.Entry<T, ArrayList<T>> entry : adj.entrySet()) {
            out.println("\t" + entry.getKey() + ": " + entry.getValue());
        }
    }

    // GCD
    public static int __gcd(int a, int b) {
        BigInteger n1 = BigInteger.valueOf(a);
        BigInteger n2 = BigInteger.valueOf(b);
        BigInteger gcd = n1.gcd(n2);
        return gcd.intValue();
    }

    public static long __gcd(long a, long b) {
        BigInteger n1 = BigInteger.valueOf(a);
        BigInteger n2 = BigInteger.valueOf(b);
        BigInteger gcd = n1.gcd(n2);
        return gcd.longValue();
    }

    public static void main(String args[]) throws IOException {
        new Thread(null, new Main(), "random", 1 << 26).start();
    }

    @Override
    public void run() {
        long start = 0, end = 0;
        try {
            File output = new File("output.txt");
            sc = new FastReader();
            if (output.exists()) {
                out = new PrintWriter(new FileOutputStream("output.txt"));
                start = System.nanoTime();
            } else {
                out = new PrintWriter(System.out);
            }

            int test_cases = 1;
            if (test_case_input) test_cases = sc.nextInt();
            for (int i = 1; i <= test_cases; i++) {
                solution(i);
            }
            if (output.exists()) {
                end = System.nanoTime();
                out.println("Execution time: " + (end - start) / 1000000 + " ms");
            }
            out.flush();
            out.close();
        } catch (Exception e) {
            out.println("Exception: " + e);
            out.println("At Line no. : " + e.getStackTrace()[0].getLineNumber());
            out.flush();
            out.close();
            return;
        }
    }

    // Edge Class
    static class Edge implements Comparable<Edge> {
        Object u;
        Object v;
        Object wt;

        public Edge(Object origin, Object destination, Object weight) {
            u = origin;
            v = destination;
            wt = weight;
        }

        public String toString() {
            String ans = u + " -> " + v + " : " + wt;
            return ans;
        }

        public int getIntOrigin() {
            return (int) u;
        }

        public int getIntDestination() {
            return (int) v;
        }

        public int getIntWeight() {
            return (int) wt;
        }

        public long getLongOrigin() {
            return (long) u;
        }

        public long getLongDestination() {
            return (long) v;
        }

        public long getLongWeight() {
            return (long) wt;
        }

        @Override
        public int compareTo(Edge edge) {
            if ((edge.u).getClass() == Long.class) return (((Long) this.wt).compareTo((Long) edge.wt));
            else return (((Integer) this.wt).compareTo((Integer) edge.wt));
        }
    }

    // Point Class
    static class Point implements Comparable<Point> {
        Object x;
        Object y;

        public Point(Object a, Object b) {
            x = a;
            y = b;
        }

        public int getIntX() {
            return (int) x;
        }

        public int getIntY() {
            return (int) y;
        }

        public long getLongX() {
            return (long) x;
        }

        public long getLongY() {
            return (long) y;
        }

        public int compareTo(Point obj) {
            if (obj.x.equals(this.x)) {
                if ((obj.y).getClass() == Long.class) return ((Long) this.y).compareTo((Long) obj.y);
                else return ((Integer) this.y).compareTo((Integer) obj.y);
            } else {
                if ((obj.x).getClass() == Long.class) return ((Long) this.x).compareTo((Long) obj.x);
                else return ((Integer) this.x).compareTo((Integer) obj.x);
            }
        }

        public String toString() {
            String ans = "(" + x + ", " + y + ")";
            return ans;
        }

        @Override
        public int hashCode() {
            int hash = 7;
            hash = 71 * hash + (int) this.x;
            hash = 71 * hash + (int) this.y;
            return hash;
        }

        @Override
        public boolean equals(Object obj) {
            if (obj == null) return false;
            Point point = (Point) obj;
            if (point.x.equals(this.x) && point.y.equals(this.y)) return true;
            else return false;
        }
    }

    // Fast IO
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() throws FileNotFoundException {
            File in = new File("input.txt");
            if (in.exists()) {
                br = new BufferedReader(new InputStreamReader(new FileInputStream("input.txt")));
            } else {
                br = new BufferedReader(new InputStreamReader(System.in));
            }
        }

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

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

        float nextFloat() {
            return Float.parseFloat(next());
        }

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

        double nextDouble() {
            return Double.parseDouble(next());
        }

        Integer[] intarr(int n) {
            Integer a[] = new Integer[n];
            for (int i = 0; i < n; i++) {
                a[i] = Integer.parseInt(next());
            }
            return a;
        }

        Long[] longarr(int n) {
            Long a[] = new Long[n];
            for (int i = 0; i < n; i++) {
                a[i] = Long.parseLong(next());
            }
            return a;
        }

        float[] floatarr(int n) {
            float a[] = new float[n];
            for (int i = 0; i < n; i++) {
                a[i] = Float.parseFloat(next());
            }
            return a;
        }

        Double[] doublearr(int n) {
            Double a[] = new Double[n];
            for (int i = 0; i < n; i++) {
                a[i] = Double.parseDouble(next());
            }
            return a;
        }


        Integer[][] intmatrix(int row, int col) {
            Integer a[][] = new Integer[row][col];
            for (int i = 0; i < row; i++) {
                for (int j = 0; j < col; j++) {
                    a[i][j] = Integer.parseInt(next());
                }
            }
            return a;
        }

        Long[][] longmatrix(int row, int col) {
            Long a[][] = new Long[row][col];
            for (int i = 0; i < row; i++) {
                for (int j = 0; j < col; j++) {
                    a[i][j] = Long.parseLong(next());
                }
            }
            return a;
        }

        Float[][] floatmatrix(int row, int col) {
            Float a[][] = new Float[row][col];
            for (int i = 0; i < row; i++) {
                for (int j = 0; j < col; j++) {
                    a[i][j] = Float.parseFloat(next());
                }
            }
            return a;
        }

        Double[][] doublematrix(int row, int col) {
            Double a[][] = new Double[row][col];
            for (int i = 0; i < row; i++) {
                for (int j = 0; j < col; j++) {
                    a[i][j] = Double.parseDouble(next());
                }
            }
            return a;
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}