#include<bits/stdc++.h>
#define ALL(v) std::begin(v),std::end(v)
using lint=long long;
using lubl=long double;
struct mint{
    lint value;
    mint()=default;
    mint(lint x):value(x){}
};
std::ostream&operator<<(std::ostream&os,mint x){return os<<x.value;}
lint mod=1'000'000'007;
mint operator*(mint x,mint y){return mint{x.value*y.value%mod};}
mint&operator*=(mint&x,mint y){return x=x*y;}
int main(){
    std::cin.tie(nullptr);std::ios_base::sync_with_stdio(false);
    std::cout.setf(std::ios_base::fixed);std::cout.precision(15);
    lint n,k;std::cin>>n>>k;
    std::vector<mint>fact(n+1);
    fact.at(0)=1;
    for(lint i=1;i<=n;i++)fact.at(i)=fact.at(i-1)*i;
    mint ans=1;
    for(lint i=0,prv=0;i<=k;i++){
        lint x;
        if(i==k)x=(1ll<<n)-1;
        else std::cin>>x;
        if(prv&~x){
            std::cout<<0<<'\n';
            return 0;
        }
        ans*=fact.at(__builtin_popcountll(x)-__builtin_popcountll(prv));
        prv=x;
    }
    std::cout<<ans<<'\n';
}