#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define PA pair #define F first #define S second #define BS(A,x) binary_search(ALL(A),x) #define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin()) #define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin()) #define COU(A,x) (UB(A,x)-LB(A,x)) #define sz(c) ((ll)(c).size()) /* #include namespace mp=boost::multiprecision; using Bint=mp::cpp_int; */ templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,pair&p){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vector&v){REP(i,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(bfast_int32mod_convolution(vector&a,vector&b,int mod){ const ll m1=167772161,m2=469762049,m3=1224736769; for (auto& x:a)x%=mod; for (auto& x:b)x%=mod; auto x=convolution(a,b); auto y=convolution(a,b); auto z=convolution(a,b); const ll m1_inv_m2=inv_mod(m1,m2); const ll m12_inv_m3=inv_mod(m1*m2,m3); const ll m12_mod=m1*m2%mod; vectorret(sz(a)); REP(i,sz(a)){ ll v1=(y[i]-x[i])*m1_inv_m2%m2; if(v1<0)v1+=m2; ll v2=(z[i]-(x[i]+m1*v1)%m3)*m12_inv_m3%m3; if(v2<0)v2+=m3; ll constants3=(x[i]+m1*v1+m12_mod*v2)%mod; if(constants3<0)constants3+=mod; ret[i]=constants3; } return ret; } int main(){ ll K,N;cin>>K>>N; vectorx(N);cin>>x; vector>F(17,vector(K+1)); REP(i,N)if(x[i]<=K)F[0][x[i]]=1; REP(i,16)F[i+1]=fast_int32mod_convolution(F[i],F[i],1000000007); vectorP(K+1);P[0]=1; REP(i,17){F[i][0]++;P=fast_int32mod_convolution(P,F[i],1000000007);} cout<