import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class Main {

    void solve() throws IOException {
        int n = ni(), k = ni();
        long[] a = new long[k + 2];
        for (int i = 0; i < k; i++) {
            a[i] = nl();
        }
        a[k] = 0;
        a[k + 1] = (1L << n) - 1;
        Arrays.sort(a);
    
        long MOD = 1000000007;
        
        long[] p = new long[61];
        p[0] = 1;
        for (int i = 1; i < 61; i++) {
            p[i] = (p[i - 1] * i) % MOD;
        }

        int[] d = new int[k + 1];
        for (int i = 0; i < k + 1; i++) {
            if ((a[i] | (a[i + 1] - a[i])) != a[i + 1]) {
                out.println(0);
                return;
            }
            d[i] = Long.bitCount(a[i + 1]) - Long.bitCount(a[i]);
        }
        
        long ans = 1;
        for (int i = 0; i < k + 1; i++) {
            ans = (ans * p[d[i]]) % MOD;
        }

        out.println(ans);
    }

    String ns() throws IOException {
        while (!tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine(), " ");
        }
        return tok.nextToken();
    }

    int ni() throws IOException {
        return Integer.parseInt(ns());
    }

    long nl() throws IOException {
        return Long.parseLong(ns());
    }

    double nd() throws IOException {
        return Double.parseDouble(ns());
    }

    String[] nsa(int n) throws IOException {
        String[] res = new String[n];
        for (int i = 0; i < n; i++) {
            res[i] = ns();
        }
        return res;
    }

    int[] nia(int n) throws IOException {
        int[] res = new int[n];
        for (int i = 0; i < n; i++) {
            res[i] = ni();
        }
        return res;
    }

    long[] nla(int n) throws IOException {
        long[] res = new long[n];
        for (int i = 0; i < n; i++) {
            res[i] = nl();
        }
        return res;
    }

    static BufferedReader in;
    static PrintWriter out;
    static StringTokenizer tok;

    public static void main(String[] args) throws IOException {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        tok = new StringTokenizer("");
        Main main = new Main();
        main.solve();
        out.close();
    }
}