#include <bits/stdc++.h>
#define syosu(x) fixed<<setprecision(x)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> P;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<long double> vd;
typedef vector<vd> vvd;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<string> vs;
typedef vector<P> vp;
typedef vector<vp> vvp;
typedef vector<pll> vpll;
typedef pair<int,P> pip;
typedef vector<pip> vip;
const int inf=1<<30;
const ll INF=1ll<<60;
const double pi=acos(-1);
const double eps=1e-8;
const ll mod=1e9+7;
const int dx[4]={0,1,0,-1},dy[4]={1,0,-1,0};

ll n,m;
vl a;

int main(){
	cin>>n>>m;
	if(m==0){
		ll t=1;
		for(int i=1;i<=n;i++) (t*=i)%=mod;
		cout<<t<<endl;
		return 0;
	}
	a=vl(m+2);
	for(int i=0;i<m;i++) cin>>a[i];
	a[m+1]=(1<<n)-1;
	sort(a.begin(),a.end());
	ll t=1;
	for(int i=1;i<=m+1;i++){
		ll A=a[i-1],B=a[i];
		if((A&B)==A){
			ll C=B-A,cnt=1;
			for(int j=0;j<n;j++) if(C&1<<j) (t*=cnt)%=mod,cnt++;
		}
		else t=0;
	}
	cout<<t<<endl;
}