#include <bits/stdc++.h>
#define be(v) (v).begin(),(v).end()
#define pb(q) push_back(q)
typedef long long ll;
using namespace std;
const ll mod=1000000007, INF=(1LL<<60);
#define doublecout(a) cout<<fixed<<setprecision(10)<<a<<endl;

long long modpow(long long a, long long n) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a % mod;
        a = a * a % mod;
        n >>= 1;
    }
    return res;
}

int main() {
    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(false);
    ll n, k, ans = 1;
    cin >> n >> k;
    vector<ll> a(k+1, 0LL);
    ll fac[100];
    fac[0] = 1;
    for(ll i = 1; i < 100; i++){
        fac[i] = (fac[i - 1] * i) % mod;
    }
    for(int i=1;i<=k;i++){
        cin >> a[i];
    }
    a.pb((1LL << n) - 1);
    for(int i=1;i<=k+1;i++){
        if((a[i] & a[i - 1]) == a[i - 1]){
            ans *= fac[__builtin_popcount(a[i] - a[i - 1])];
            ans %= mod;
        }else{
            ans = 0;
        }
    }
    cout << ans << endl;
    return 0;
}