#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
const int INF = (1<<30);
const ll INFLL = (1ll<<60);
const ll MOD = (ll)(1e9+7);

#define l_ength size

void mul_mod(ll& a, ll b){
	a *= b;
	a %= MOD;
}

void add_mod(ll& a, ll b){
	a = (a<MOD)?a:(a-MOD);
	b = (b<MOD)?b:(b-MOD);
	a += b;
	a = (a<MOD)?a:(a-MOD);
}

ll a[66];

int main(void){
	int n,i,j,m,k;
	ll ans = 1ll;
	cin >> n >> k;
	for(i=0; i<k; ++i){
		cin >> a[i];
	}
	a[k] = 0ll; a[k+1] = ((1ll<<n)-1); ++k; ++k;
	sort(a,a+k);
	for(i=1; i<k; ++i){
		if(!((a[i]&a[i-1])==a[i-1] && ((i==1 && a[i-1]==0) || (i==k-1 && a[i]==((1ll<<n)-1)) || a[i]>a[i-1]))){
			ans = 0ll;
			break;
		}
		m = __builtin_popcountl(a[i-1]^a[i]);
		for(j=1; j<=m; ++j){
			mul_mod(ans,j);
		}
	}
	cout << ans << endl;
	return 0;
}