#define  _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <algorithm>
#include <utility>
#include <functional>
#include <cstring>
#include <queue>
#include <stack>
#include <math.h>
#include <iterator>
#include <vector>
#include <string>
#include <set>
#include <math.h>
#include <iostream> 
#include<map>
#include <iomanip>
#include <stdlib.h>
#include <list>
#include <typeinfo>
#include <list>
#include <set>
using namespace std;
#define MAX_MOD 1000000007
#define REP(i,n) for(long long i = 0;i < n;++i)
#define LONG_INF 10000000000000000
int main() {
	iostream::sync_with_stdio(false);
	long long n,k;
	cin >> n >> k;
	vector<long long> a;
	a.push_back(0);
	REP(i, k) {
		long long tmp;
		cin >> tmp;
		a.push_back(tmp);
	}
	long long wow = (1 << n)-1;
	a.push_back(wow);
	long long ans = 1;
	sort(a.begin(), a.end());
	for (int i = 1;i < a.size();++i) {
		long long fir = a[i - 1];
		long long sec = a[i];
		long long cnt = 0;
		while (fir != 0 || sec != 0) {
			if (fir % 2 == 1) {
				if (sec % 2 == 0) {
					cout << 0 << endl;
					return 0;
				}
			}
			else {
				if (sec % 2 == 1) {
					cnt++;
				}
			}
			fir /= 2;
			sec /= 2;
		}
		long long pop = 1;
		for (int i = 0;i < cnt-1;++i) {
			pop *= (i+2);
			pop %= MAX_MOD;
		}
		ans *= pop;
		ans %= MAX_MOD;
	}
	cout << ans << endl;
	return 0;
}