import java.io.*;
import java.util.*;

public class Main {
    static final int MOD = 1000000007;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        long current = 0;
        int k = sc.nextInt();
        long ans = 1;
        for (int i = 0; i < k; i++) {
            long x = sc.nextLong();
            if ((current | x) == x) {
                ans *= kaijo(pop(x) - pop(current));
                ans %= MOD;
            } else {
                ans = 0;
            }
            current = x;
        }
        long last = (1L << n) - 1;
        if ((current | last) == last) {
            ans *= kaijo(pop(last) - pop(current));
            ans %= MOD;
        } else {
            ans = 0;
        }
        System.out.println(ans);
    }
    
    static long kaijo(int x) {
        if (x == 0) {
            return 1;
        } else {
            return x * kaijo(x - 1) % MOD;
        }
    }
    
    static int pop(long x) {
        int count = 0;
        while (x > 0) {
            if (x % 2 == 1) {
                count++;
            }
            x /= 2;
        }
        return count;
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String nextLine() throws Exception {
        return br.readLine();
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}