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

#define FOR(i,a,b) for(ll i=(a);i<(b);++i)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout<<(s)<<endl
#define p2(s, t) cout << (s) << " " << (t) << endl
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << endl
#define p_yes() p("Yes")
#define p_no() p("No")

const ll mod = 1e9 + 7;
const ll inf = 1e18;

template < typename T >
void vprint(T &V){
	for(auto v : V){
    	cout << v << " ";
	}
	cout << endl;
}

ll N, K;

ll bit_diff(ll a, ll b){
    ll count = 0;
    FOR(i, 0, N){
        ll f0 = (a>>i)&1;
        ll f1 = (b>>i)&1;

        if(f0==f1){
            continue;
        }
        else if(f0==0 && f1==1){
            count++;
        }
        else if(f0==1 && f1==0){
            return -1;
        }
    }
    return count;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);

    // input
    cin >> N >> K;

    if(K==0){
        ll ans = 1;
        FOR(i, 1, N+1){
            ans *= i;
            ans %= mod;
        }
        p(ans);
        return 0;
    }

    vector<ll> A(N);
    FOR(i, 0, K){
        ll a;
        cin >> a;
        A[i] = a;
    }
    A.push_back(0);
    A.push_back((1<<N)-1);
    sort(ALL(A));
    
    ll L = A.size();
    ll ans = 1;
    FOR(i, 0, L-1){
        ll a = A[i];
        ll b = A[i+1];

        ll diff = bit_diff(a, b);
        if(diff==-1){
            p(0);
            return 0;
        }
        else if(diff==0){
            // 
        }
        else{
            FOR(i, 1, diff+1){
                ans *= i;
                ans %= mod;
            }
        }
    }

    p(ans);
    
    return 0;
}