using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;

class TEST{
	static void Main(){
		Sol mySol =new Sol();
		mySol.Solve();
	}
}

class Sol{
	public void Solve(){
		
		long mod = (long)1e9 + 7;
		
		long[] Fact = new long[N+1];
		Fact[0] = 1;
		for(int i=1;i<=N;i++){
			Fact[i] = Fact[i-1] * i;
			Fact[i] %= mod;
		}
		
		if(K==0){
			Console.WriteLine(Fact[N]);
			return;
		}
		
		int[] bc = new int[N];
		int tot = N;
		long ans = 1;
		for(int i=0;i<K;i++){
			long inc = A[i];
			if(i>0) inc -= A[i-1];
			int cnt = 0;
			for(int j=0;j<N;j++){
				if(((inc >> j)&1) == 1){ bc[j]++; cnt++;}
				if(bc[j]>1){
					Console.WriteLine(0);
					return;
				}
			}
			ans *= Fact[cnt];
			ans %= mod;
			tot -= cnt;
		}
		
		ans *= Fact[tot];
		ans %= mod;
		Console.WriteLine(ans);
		
		
		
		
		
	}
	int N,K;
	long[] A;
	public Sol(){
		var d = ria();
		N = d[0]; K = d[1];
		if(K>0)A = rla();
	}

	static String rs(){return Console.ReadLine();}
	static int ri(){return int.Parse(Console.ReadLine());}
	static long rl(){return long.Parse(Console.ReadLine());}
	static double rd(){return double.Parse(Console.ReadLine());}
	static String[] rsa(char sep=' '){return Console.ReadLine().Split(sep);}
	static int[] ria(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>int.Parse(e));}
	static long[] rla(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>long.Parse(e));}
	static double[] rda(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>double.Parse(e));}
}