#ifndef call_from_test #include using namespace std; #endif //BEGIN CUT HERE // first: sum_{i=0}^{n-1} r^i // second: r^n template pair sum_of_geometric_sequence_impl(T r,long long n){ if(n==1) return {T(1),r}; auto p=sum_of_geometric_sequence_impl(r,n/2); T sum=p.first*(T(1)+p.second); T pow=p.second*p.second; if(n&1) sum+=pow,pow*=r; return {sum,pow}; } // sum_{i=0}^{n-1} r^i template T sum_of_geometric_sequence(T r,long long n){ return sum_of_geometric_sequence_impl(r,n).first; } //END CUT HERE #ifndef call_from_test #define call_from_test template struct Mint{ inline static constexpr T mod = MOD; T v; Mint():v(0){} Mint(signed v):v(v){} Mint(long long t){v=t%MOD;if(v<0) v+=MOD;} Mint pow(long long k){ Mint res(1),tmp(v); while(k){ if(k&1) res*=tmp; tmp*=tmp; k>>=1; } return res; } static Mint add_identity(){return Mint(0);} static Mint mul_identity(){return Mint(1);} Mint inv(){return pow(MOD-2);} Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;} Mint& operator/=(Mint a){return (*this)*=a.inv();} Mint operator+(Mint a) const{return Mint(v)+=a;} Mint operator-(Mint a) const{return Mint(v)-=a;} Mint operator*(Mint a) const{return Mint(v)*=a;} Mint operator/(Mint a) const{return Mint(v)/=a;} Mint operator+() const{return *this;} Mint operator-() const{return v?Mint(MOD-v):Mint(v);} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} static Mint comb(long long n,int k){ Mint num(1),dom(1); for(int i=0;i ostream& operator<<(ostream &os,Mint m){os<; long long n; cin>>n; cout<