#include <bits/stdc++.h>
using namespace std;


/* macro */
#define rep(i,a,b) for(int i=a;i<b;i++)
#define revrep(i,a,b) for(int i = a; i > b; i--)
#define int long long
#define exist(s,e) ((s).find(e)!=(s).end())
#define all(v) (v).begin(), (v).end()
#define each(s,itr) for(auto (itr) = s.begin(); (itr) != s.end(); (itr)++)
#define sum(v) accumulate(all(v), (0LL))


/* alias */
template<class T> using vec = vector<T>;
typedef vector<int> vi;
typedef pair<int, int> pi;


/* constant */
const int inf = 100100100100100100;
const int mod = 1e9 + 7;
int dx[8]={1,0,-1,0,-1,1,-1,1};
int dy[8]={0,1,0,-1,-1,-1,1,1};


/* io_method */
int input(){int tmp;cin >> tmp;return tmp;}
string raw_input(){string tmp;cin >> tmp;return tmp;}
string readline(){string s;getline(cin, s);return s;}
template<class T> void printx(T n){cout << n;}
template<class T, class U> void printx(pair<T, U> p){cout << "(" << p.first << "," << p.second << ")";}
template<class T> void printx(vector<T> v){cout << "{";rep(i,0,v.size()){printx(v[i]);if(i != v.size()-1)printx(",");}cout << "}";}
template<class T> void print(T n){printx(n);cout << endl;}
template<class T> void print(set<T> s){cout << "{";each(s, e){if(e != s.begin()) printx(",");printx(*e);}cout << "}" << endl;}
template<class T, class U> void print(map<T, U> mp){cout << "{";each(mp, e){cout << "(" << e -> first << "," << e -> second << ")";}cout << "}" << endl;}


/* general_method */
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
vector<int> cs(vector<int> arr){vector<int> tmp;if(arr.size() == 0) return tmp;tmp.push_back(arr[0]);rep(i,1,arr.size()){tmp.push_back(tmp.back() + arr[i]);}return tmp;}


int bitcnt(int bits){
   
    bits = (bits & 0x55555555) + (bits >> 1 & 0x55555555);
    bits = (bits & 0x33333333) + (bits >> 2 & 0x33333333);
    bits = (bits & 0x0f0f0f0f) + (bits >> 4 & 0x0f0f0f0f);
    bits = (bits & 0x00ff00ff) + (bits >> 8 & 0x00ff00ff);
    return (bits & 0x0000ffff) + (bits >>16 & 0x0000ffff);
}

int factorial(int x){
    int res = 1;
    rep(i,2,x+1){
        res *= i;
        res %= mod;
    }
    return res;
}


/* main */


signed main(){

    cin.tie(0);
    ios::sync_with_stdio(false);

    int n,k;
    cin >> n >> k;
    vi arr; arr.push_back(0); rep(i,0,k) arr.push_back(input()); arr.push_back((1<<n) -1);

    sort(all(arr));


    rep(i,1,k + 2){
        rep(j,0,70){
            if((arr[i-1] & (1 << j)) && !(arr[i] & (1<<j))){
                print(0);
                return 0;
            }
        }
    }

    int ans = 1;
    rep(i,1, k + 2){
        ans *= factorial(bitcnt((arr[i-1] xor arr[i])));
        ans %= mod;
    }

    print(ans);


    
    

















}