#include using namespace std; using Int = long long; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a struct Kitamasa{ using VR = vector; VR c; vector rs; Int m; Kitamasa(const VR &C) :c(C),rs(1),m(c.size()){ rs[0].assign(2*m+1,R::add_identity()); rs[0][1]=R::mul_identity(); } VR merge(const VR &x,const VR &y){ VR z(2*m+1,R::add_identity()); for(Int i=1;i<=m;i++) for(Int j=1;j<=m;j++) z[i+j]=z[i+j]+(x[i]*y[j]); for(Int i=2*m;i>m;z[i--]=R::add_identity()) for(Int j=1;j<=m;j++) z[i-j]=z[i-j]+(c[m-j]*z[i]); return z; } R calc(const VR &A,long long n){ assert((Int)A.size()==m); VR res(rs[0]); for(Int i=0;n;i++,n>>=1){ if(i>=(Int)rs.size()) rs.emplace_back(merge(rs[i-1],rs[i-1])); if(~n&1) continue; res=merge(res,rs[i]); } R ans=R::add_identity(); for(Int i=1;i<=m;i++) ans=ans+(res[i]*A[i-1]); return ans; } }; template struct Mint{ 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 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;} bool operator <(const Mint a)const{return v dp; dp.reserve(sq); Mint res(1); for(Int r=0;r0) return idx; } res*=p; } assert(0); return T(-1); } static Mint comb(long long n,Int k){ Mint num(1),dom(1); for(Int i=0;i constexpr T Mint::mod; template ostream& operator<<(ostream &os,Mint m){os<>a>>b>>n; using M = Mint; vector C({M(b),M(a)}); Kitamasa kt(C); vector A({M(0),M(1)}); cout<