#define _USE_MATH_DEFINES
#include <cstdio>
#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <cmath>
#include <complex>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <bitset>
#include <numeric>
#include <limits>
#include <climits>
#include <cfloat>
#include <functional>
#include <iterator>
using namespace std;

const int MOD = 1000000007;

int main()
{
    int n, k;
    cin >> n >> k;
    vector<long long> a(k+2);
    a[k] = 0;
    a[k+1] = (1LL << n) - 1;
    for(int i=0; i<k; ++i)
        cin >> a[i];
    sort(a.begin(), a.end());

    long long ans = 1;
    for(int i=1; i<k+2; ++i){
        if(a[i-1] & ~a[i]){
            cout << 0 << endl;
            return 0;
        }
        bitset<64> bs = a[i-1] ^ a[i];
        int cnt = bs.count();
        for(int j=1; j<=cnt; ++j){
            ans *= j;
            ans %= MOD;
        }
    }
    cout << ans << endl;

    return 0;
}