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();
        int k = sc.nextInt();
        ArrayList<Long> list = new ArrayList<>();
        for (int i = 0; i < k; i++) {
            list.add(sc.nextLong());
        }
        list.add(0L);
        list.add((1L << n) - 1);
        Collections.sort(list);
        long ans = 1;
        for (int i = 1; i < list.size(); i++) {
            long prev = list.get(i - 1);
            long current = list.get(i);
            if ((current & prev) != prev) {
                System.out.println(0);
                return;
            }
            ans *= fact(getPop(current) - getPop(prev));
            ans %= MOD;
        }
        System.out.println(ans);
    }
    
    static long fact(long x) {
        long ans = 1;
        for (long i = 1; i <= x; i++) {
            ans *= i;
            ans %= MOD;
        }
        return ans;
    }
    
    static long getPop(long x) {
        long pop = 0;
        while (x > 0) {
            pop += x % 2;
            x >>= 1;
        }
        return pop;
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}